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r=/^#([a-f0-9]{3,4})$/i,n=/^#([a-f0-9]{6})([a-f0-9]{2})?$/i,i=/^rgba?\(\s*([+-]?\d+)(?=[\s,])\s*(?:,\s*)?([+-]?\d+)(?=[\s,])\s*(?:,\s*)?([+-]?\d+)\s*(?:[,|\/]\s*([+-]?[\d\.]+)(%?)\s*)?\)$/,t=/^rgba?\(\s*([+-]?[\d\.]+)\%\s*,?\s*([+-]?[\d\.]+)\%\s*,?\s*([+-]?[\d\.]+)\%\s*(?:[,|\/]\s*([+-]?[\d\.]+)(%?)\s*)?\)$/,c=/^(\w+)$/,m=[0,0,0,1],l,u,f;if(l=e.match(n)){for(f=l[2],l=l[1],u=0;u<3;u++){var o=u*2;m[u]=parseInt(l.slice(o,o+2),16)}f&&(m[3]=parseInt(f,16)/255)}else if(l=e.match(r)){for(l=l[1],f=l[3],u=0;u<3;u++)m[u]=parseInt(l[u]+l[u],16);f&&(m[3]=parseInt(f+f,16)/255)}else if(l=e.match(i)){for(u=0;u<3;u++)m[u]=parseInt(l[u+1],0);l[4]&&(l[5]?m[3]=parseFloat(l[4])*.01:m[3]=parseFloat(l[4]))}else if(l=e.match(t)){for(u=0;u<3;u++)m[u]=Math.round(parseFloat(l[u+1])*2.55);l[4]&&(l[5]?m[3]=parseFloat(l[4])*.01:m[3]=parseFloat(l[4]))}else return(l=e.match(c))?l[1]==="transparent"?[0,0,0,0]:g2.call(gh,l[1])?(m=gh[l[1]],m[3]=1,m):null:null;for(u=0;u<3;u++)m[u]=jo(m[u],0,255);return m[3]=jo(m[3],0,1),m};gi.get.hsl=function(e){if(!e)return null;var r=/^hsla?\(\s*([+-]?(?:\d{0,3}\.)?\d+)(?:deg)?\s*,?\s*([+-]?[\d\.]+)%\s*,?\s*([+-]?[\d\.]+)%\s*(?:[,|\/]\s*([+-]?(?=\.\d|\d)(?:0|[1-9]\d*)?(?:\.\d*)?(?:[eE][+-]?\d+)?)\s*)?\)$/,n=e.match(r);if(n){var i=parseFloat(n[4]),t=(parseFloat(n[1])%360+360)%360,c=jo(parseFloat(n[2]),0,100),m=jo(parseFloat(n[3]),0,100),l=jo(isNaN(i)?1:i,0,1);return[t,c,m,l]}return null};gi.get.hwb=function(e){if(!e)return null;var r=/^hwb\(\s*([+-]?\d{0,3}(?:\.\d+)?)(?:deg)?\s*,\s*([+-]?[\d\.]+)%\s*,\s*([+-]?[\d\.]+)%\s*(?:,\s*([+-]?(?=\.\d|\d)(?:0|[1-9]\d*)?(?:\.\d*)?(?:[eE][+-]?\d+)?)\s*)?\)$/,n=e.match(r);if(n){var i=parseFloat(n[4]),t=(parseFloat(n[1])%360+360)%360,c=jo(parseFloat(n[2]),0,100),m=jo(parseFloat(n[3]),0,100),l=jo(isNaN(i)?1:i,0,1);return[t,c,m,l]}return null};gi.to.hex=function(){var e=yh(arguments);return"#"+zv(e[0])+zv(e[1])+zv(e[2])+(e[3]<1?zv(Math.round(e[3]*255)):"")};gi.to.rgb=function(){var e=yh(arguments);return e.length<4||e[3]===1?"rgb("+Math.round(e[0])+", "+Math.round(e[1])+", "+Math.round(e[2])+")":"rgba("+Math.round(e[0])+", "+Math.round(e[1])+", "+Math.round(e[2])+", "+e[3]+")"};gi.to.rgb.percent=function(){var e=yh(arguments),r=Math.round(e[0]/255*100),n=Math.round(e[1]/255*100),i=Math.round(e[2]/255*100);return e.length<4||e[3]===1?"rgb("+r+"%, "+n+"%, "+i+"%)":"rgba("+r+"%, "+n+"%, "+i+"%, "+e[3]+")"};gi.to.hsl=function(){var e=yh(arguments);return e.length<4||e[3]===1?"hsl("+e[0]+", "+e[1]+"%, "+e[2]+"%)":"hsla("+e[0]+", "+e[1]+"%, "+e[2]+"%, "+e[3]+")"};gi.to.hwb=function(){var e=yh(arguments),r="";return e.length>=4&&e[3]!==1&&(r=", "+e[3]),"hwb("+e[0]+", "+e[1]+"%, "+e[2]+"%"+r+")"};gi.to.keyword=function(e){return y2[e.slice(0,3)]};function jo(e,r,n){return Math.min(Math.max(r,e),n)}function zv(e){var r=Math.round(e).toString(16).toUpperCase();return r.length<2?"0"+r:r}});var Y0=hr((FY,N2)=>{var xh=Q0(),w2={};for(let e of Object.keys(xh))w2[xh[e]]=e;var fr={rgb:{channels:3,labels:"rgb"},hsl:{channels:3,labels:"hsl"},hsv:{channels:3,labels:"hsv"},hwb:{channels:3,labels:"hwb"},cmyk:{channels:4,labels:"cmyk"},xyz:{channels:3,labels:"xyz"},lab:{channels:3,labels:"lab"},lch:{channels:3,labels:"lch"},hex:{channels:1,labels:["hex"]},keyword:{channels:1,labels:["keyword"]},ansi16:{channels:1,labels:["ansi16"]},ansi256:{channels:1,labels:["ansi256"]},hcg:{channels:3,labels:["h","c","g"]},apple:{channels:3,labels:["r16","g16","b16"]},gray:{channels:1,labels:["gray"]}};N2.exports=fr;for(let e of Object.keys(fr)){if(!("channels"in fr[e]))throw new Error("missing channels property: "+e);if(!("labels"in fr[e]))throw new Error("missing channel labels property: "+e);if(fr[e].labels.length!==fr[e].channels)throw new Error("channel and label counts mismatch: "+e);let{channels:r,labels:n}=fr[e];delete fr[e].channels,delete fr[e].labels,Object.defineProperty(fr[e],"channels",{value:r}),Object.defineProperty(fr[e],"labels",{value:n})}fr.rgb.hsl=function(e){let r=e[0]/255,n=e[1]/255,i=e[2]/255,t=Math.min(r,n,i),c=Math.max(r,n,i),m=c-t,l,u;c===t?l=0:r===c?l=(n-i)/m:n===c?l=2+(i-r)/m:i===c&&(l=4+(r-n)/m),l=Math.min(l*60,360),l<0&&(l+=360);let f=(t+c)/2;return c===t?u=0:f<=.5?u=m/(c+t):u=m/(2-c-t),[l,u*100,f*100]};fr.rgb.hsv=function(e){let r,n,i,t,c,m=e[0]/255,l=e[1]/255,u=e[2]/255,f=Math.max(m,l,u),o=f-Math.min(m,l,u),s=function(h){return(f-h)/6/o+1/2};return o===0?(t=0,c=0):(c=o/f,r=s(m),n=s(l),i=s(u),m===f?t=i-n:l===f?t=1/3+r-i:u===f&&(t=2/3+n-r),t<0?t+=1:t>1&&(t-=1)),[t*360,c*100,f*100]};fr.rgb.hwb=function(e){let r=e[0],n=e[1],i=e[2],t=fr.rgb.hsl(e)[0],c=1/255*Math.min(r,Math.min(n,i));return i=1-1/255*Math.max(r,Math.max(n,i)),[t,c*100,i*100]};fr.rgb.cmyk=function(e){let r=e[0]/255,n=e[1]/255,i=e[2]/255,t=Math.min(1-r,1-n,1-i),c=(1-r-t)/(1-t)||0,m=(1-n-t)/(1-t)||0,l=(1-i-t)/(1-t)||0;return[c*100,m*100,l*100,t*100]};function Sk(e,r){return(e[0]-r[0])**2+(e[1]-r[1])**2+(e[2]-r[2])**2}fr.rgb.keyword=function(e){let r=w2[e];if(r)return r;let n=1/0,i;for(let t of Object.keys(xh)){let c=xh[t],m=Sk(e,c);m<n&&(n=m,i=t)}return i};fr.keyword.rgb=function(e){return xh[e]};fr.rgb.xyz=function(e){let r=e[0]/255,n=e[1]/255,i=e[2]/255;r=r>.04045?((r+.055)/1.055)**2.4:r/12.92,n=n>.04045?((n+.055)/1.055)**2.4:n/12.92,i=i>.04045?((i+.055)/1.055)**2.4:i/12.92;let t=r*.4124+n*.3576+i*.1805,c=r*.2126+n*.7152+i*.0722,m=r*.0193+n*.1192+i*.9505;return[t*100,c*100,m*100]};fr.rgb.lab=function(e){let r=fr.rgb.xyz(e),n=r[0],i=r[1],t=r[2];n/=95.047,i/=100,t/=108.883,n=n>.008856?n**(1/3):7.787*n+16/116,i=i>.008856?i**(1/3):7.787*i+16/116,t=t>.008856?t**(1/3):7.787*t+16/116;let c=116*i-16,m=500*(n-i),l=200*(i-t);return[c,m,l]};fr.hsl.rgb=function(e){let r=e[0]/360,n=e[1]/100,i=e[2]/100,t,c,m;if(n===0)return m=i*255,[m,m,m];i<.5?t=i*(1+n):t=i+n-i*n;let l=2*i-t,u=[0,0,0];for(let f=0;f<3;f++)c=r+1/3*-(f-1),c<0&&c++,c>1&&c--,6*c<1?m=l+(t-l)*6*c:2*c<1?m=t:3*c<2?m=l+(t-l)*(2/3-c)*6:m=l,u[f]=m*255;return u};fr.hsl.hsv=function(e){let r=e[0],n=e[1]/100,i=e[2]/100,t=n,c=Math.max(i,.01);i*=2,n*=i<=1?i:2-i,t*=c<=1?c:2-c;let m=(i+n)/2,l=i===0?2*t/(c+t):2*n/(i+n);return[r,l*100,m*100]};fr.hsv.rgb=function(e){let r=e[0]/60,n=e[1]/100,i=e[2]/100,t=Math.floor(r)%6,c=r-Math.floor(r),m=255*i*(1-n),l=255*i*(1-n*c),u=255*i*(1-n*(1-c));switch(i*=255,t){case 0:return[i,u,m];case 1:return[l,i,m];case 2:return[m,i,u];case 3:return[m,l,i];case 4:return[u,m,i];case 5:return[i,m,l]}};fr.hsv.hsl=function(e){let r=e[0],n=e[1]/100,i=e[2]/100,t=Math.max(i,.01),c,m;m=(2-n)*i;let l=(2-n)*t;return c=n*t,c/=l<=1?l:2-l,c=c||0,m/=2,[r,c*100,m*100]};fr.hwb.rgb=function(e){let r=e[0]/360,n=e[1]/100,i=e[2]/100,t=n+i,c;t>1&&(n/=t,i/=t);let m=Math.floor(6*r),l=1-i;c=6*r-m,(m&1)!=0&&(c=1-c);let u=n+c*(l-n),f,o,s;switch(m){default:case 6:case 0:f=l,o=u,s=n;break;case 1:f=u,o=l,s=n;break;case 2:f=n,o=l,s=u;break;case 3:f=n,o=u,s=l;break;case 4:f=u,o=n,s=l;break;case 5:f=l,o=n,s=u;break}return[f*255,o*255,s*255]};fr.cmyk.rgb=function(e){let r=e[0]/100,n=e[1]/100,i=e[2]/100,t=e[3]/100,c=1-Math.min(1,r*(1-t)+t),m=1-Math.min(1,n*(1-t)+t),l=1-Math.min(1,i*(1-t)+t);return[c*255,m*255,l*255]};fr.xyz.rgb=function(e){let r=e[0]/100,n=e[1]/100,i=e[2]/100,t,c,m;return t=r*3.2406+n*-1.5372+i*-.4986,c=r*-.9689+n*1.8758+i*.0415,m=r*.0557+n*-.204+i*1.057,t=t>.0031308?1.055*t**(1/2.4)-.055:t*12.92,c=c>.0031308?1.055*c**(1/2.4)-.055:c*12.92,m=m>.0031308?1.055*m**(1/2.4)-.055:m*12.92,t=Math.min(Math.max(0,t),1),c=Math.min(Math.max(0,c),1),m=Math.min(Math.max(0,m),1),[t*255,c*255,m*255]};fr.xyz.lab=function(e){let r=e[0],n=e[1],i=e[2];r/=95.047,n/=100,i/=108.883,r=r>.008856?r**(1/3):7.787*r+16/116,n=n>.008856?n**(1/3):7.787*n+16/116,i=i>.008856?i**(1/3):7.787*i+16/116;let t=116*n-16,c=500*(r-n),m=200*(n-i);return[t,c,m]};fr.lab.xyz=function(e){let r=e[0],n=e[1],i=e[2],t,c,m;c=(r+16)/116,t=n/500+c,m=c-i/200;let l=c**3,u=t**3,f=m**3;return c=l>.008856?l:(c-16/116)/7.787,t=u>.008856?u:(t-16/116)/7.787,m=f>.008856?f:(m-16/116)/7.787,t*=95.047,c*=100,m*=108.883,[t,c,m]};fr.lab.lch=function(e){let r=e[0],n=e[1],i=e[2],t;t=Math.atan2(i,n)*360/2/Math.PI,t<0&&(t+=360);let m=Math.sqrt(n*n+i*i);return[r,m,t]};fr.lch.lab=function(e){let r=e[0],n=e[1],t=e[2]/360*2*Math.PI,c=n*Math.cos(t),m=n*Math.sin(t);return[r,c,m]};fr.rgb.ansi16=function(e,r=null){let[n,i,t]=e,c=r===null?fr.rgb.hsv(e)[2]:r;if(c=Math.round(c/50),c===0)return 30;let m=30+(Math.round(t/255)<<2|Math.round(i/255)<<1|Math.round(n/255));return c===2&&(m+=60),m};fr.hsv.ansi16=function(e){return fr.rgb.ansi16(fr.hsv.rgb(e),e[2])};fr.rgb.ansi256=function(e){let r=e[0],n=e[1],i=e[2];return r===n&&n===i?r<8?16:r>248?231:Math.round((r-8)/247*24)+232:16+36*Math.round(r/255*5)+6*Math.round(n/255*5)+Math.round(i/255*5)};fr.ansi16.rgb=function(e){let r=e%10;if(r===0||r===7)return e>50&&(r+=3.5),r=r/10.5*255,[r,r,r];let n=(~~(e>50)+1)*.5,i=(r&1)*n*255,t=(r>>1&1)*n*255,c=(r>>2&1)*n*255;return[i,t,c]};fr.ansi256.rgb=function(e){if(e>=232){let c=(e-232)*10+8;return[c,c,c]}e-=16;let r,n=Math.floor(e/36)/5*255,i=Math.floor((r=e%36)/6)/5*255,t=r%6/5*255;return[n,i,t]};fr.rgb.hex=function(e){let n=(((Math.round(e[0])&255)<<16)+((Math.round(e[1])&255)<<8)+(Math.round(e[2])&255)).toString(16).toUpperCase();return"000000".substring(n.length)+n};fr.hex.rgb=function(e){let r=e.toString(16).match(/[a-f0-9]{6}|[a-f0-9]{3}/i);if(!r)return[0,0,0];let n=r[0];r[0].length===3&&(n=n.split("").map(l=>l+l).join(""));let i=parseInt(n,16),t=i>>16&255,c=i>>8&255,m=i&255;return[t,c,m]};fr.rgb.hcg=function(e){let r=e[0]/255,n=e[1]/255,i=e[2]/255,t=Math.max(Math.max(r,n),i),c=Math.min(Math.min(r,n),i),m=t-c,l,u;return m<1?l=c/(1-m):l=0,m<=0?u=0:t===r?u=(n-i)/m%6:t===n?u=2+(i-r)/m:u=4+(r-n)/m,u/=6,u%=1,[u*360,m*100,l*100]};fr.hsl.hcg=function(e){let r=e[1]/100,n=e[2]/100,i=n<.5?2*r*n:2*r*(1-n),t=0;return i<1&&(t=(n-.5*i)/(1-i)),[e[0],i*100,t*100]};fr.hsv.hcg=function(e){let r=e[1]/100,n=e[2]/100,i=r*n,t=0;return i<1&&(t=(n-i)/(1-i)),[e[0],i*100,t*100]};fr.hcg.rgb=function(e){let r=e[0]/360,n=e[1]/100,i=e[2]/100;if(n===0)return[i*255,i*255,i*255];let t=[0,0,0],c=r%1*6,m=c%1,l=1-m,u=0;switch(Math.floor(c)){case 0:t[0]=1,t[1]=m,t[2]=0;break;case 1:t[0]=l,t[1]=1,t[2]=0;break;case 2:t[0]=0,t[1]=1,t[2]=m;break;case 3:t[0]=0,t[1]=l,t[2]=1;break;case 4:t[0]=m,t[1]=0,t[2]=1;break;default:t[0]=1,t[1]=0,t[2]=l}return u=(1-n)*i,[(n*t[0]+u)*255,(n*t[1]+u)*255,(n*t[2]+u)*255]};fr.hcg.hsv=function(e){let 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d1=Qn(F2());function Qe(e){return typeof e=="boolean"?!0:isFinite(e)?e===Math.round(e):!1}var Pi=Math.sign||function(e){return e>0?1:e<0?-1:0},P2=Math.log2||function(r){return Math.log(r)/Math.LN2},U2=Math.log10||function(r){return Math.log(r)/Math.LN10},Wv=Math.log1p||function(e){return Math.log(e+1)},z2=Math.cbrt||function(r){if(r===0)return r;var n=r<0,i;return n&&(r=-r),isFinite(r)?(i=Math.exp(Math.log(r)/3),i=(r/(i*i)+2*i)/3):i=r,n?-i:i},L2=Math.expm1||function(r){return r>=2e-4||r<=-2e-4?Math.exp(r)-1:r+r*r/2+r*r*r/6};function a1(e,r,n){var i={2:"0b",8:"0o",16:"0x"},t=i[r],c="";if(n){if(n<1)throw new Error("size must be in greater than 0");if(!Qe(n))throw new Error("size must be an integer");if(e>2**(n-1)-1||e<-(2**(n-1)))throw new Error("Value must be in range [-2^".concat(n-1,", 2^").concat(n-1,"-1]"));if(!Qe(e))throw new Error("Value must be an integer");e<0&&(e=e+2**n),c="i".concat(n)}var m="";return 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this._datatype},t.prototype.create=function(v,A){return new t(v,A)},t.prototype.density=function(){var v=this._size[0],A=this._size[1];return v!==0&&A!==0?this._index.length/(v*A):0},t.prototype.subset=function(v,A,b){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return l(this,v);case 2:case 3:return u(this,v,A,b);default:throw new SyntaxError("Wrong number of arguments")}};function l(v,A){if(!xi(A))throw new TypeError("Invalid index");var b=A.isScalar();if(b)return v.get(A.min());var D=A.size();if(D.length!==v._size.length)throw new pr(D.length,v._size.length);var w,M,j,N,I=A.min(),E=A.max();for(w=0,M=v._size.length;w<M;w++)it(I[w],v._size[w]),it(E[w],v._size[w]);var C=v._values,S=v._index,F=v._ptr,T=A.dimension(0),G=A.dimension(1),Q=[],re=[];T.forEach(function(q,ie){re[q]=ie[0],Q[q]=!0});var Y=C?[]:void 0,L=[],te=[];return G.forEach(function(q){for(te.push(L.length),j=F[q],N=F[q+1];j<N;j++)w=S[j],Q[w]===!0&&(L.push(re[w]),Y&&Y.push(C[j]))}),te.push(L.length),new t({values:Y,index:L,ptr:te,size:D,datatype:v._datatype})}function u(v,A,b,D){if(!A||A.isIndex!==!0)throw new TypeError("Invalid index");var w=A.size(),M=A.isScalar(),j;if(nr(b)?(j=b.size(),b=b.toArray()):j=Nr(b),M){if(j.length!==0)throw new TypeError("Scalar expected");v.set(A.min(),b,D)}else{if(w.length!==1&&w.length!==2)throw new pr(w.length,v._size.length,"<");if(j.length<w.length){for(var N=0,I=0;w[N]===1&&j[N]===1;)N++;for(;w[N]===1;)I++,N++;b=Yv(b,w.length,I,j)}if(!Co(w,j))throw new pr(w,j,">");for(var E=A.min()[0],C=A.min()[1],S=j[0],F=j[1],T=0;T<S;T++)for(var G=0;G<F;G++){var Q=b[T][G];v.set([T+E,G+C],Q,D)}}return v}t.prototype.get=function(v){if(!Fr(v))throw new TypeError("Array expected");if(v.length!==this._size.length)throw new pr(v.length,this._size.length);if(!this._values)throw new Error("Cannot invoke get on a Pattern only 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b=this,D=this._size[0],w=this._size[1],M=function(N,I,E){return v(N,[I,E],b)};return g(this,0,D-1,0,w-1,M,A)};function g(v,A,b,D,w,M,j){var N=[],I=[],E=[],C=n,S=0;Tt(v._datatype)&&(C=r.find(n,[v._datatype,v._datatype])||n,S=r.convert(0,v._datatype));for(var F=function(ee,xe,ne){ee=M(ee,xe,ne),C(ee,S)||(N.push(ee),I.push(xe))},T=D;T<=w;T++){E.push(N.length);var G=v._ptr[T],Q=v._ptr[T+1];if(j)for(var re=G;re<Q;re++){var Y=v._index[re];Y>=A&&Y<=b&&F(v._values[re],Y-A,T-D)}else{for(var L={},te=G;te<Q;te++){var q=v._index[te];L[q]=v._values[te]}for(var ie=A;ie<=b;ie++){var ve=ie in L?L[ie]:0;F(ve,ie-A,T-D)}}}return E.push(N.length),new t({values:N,index:I,ptr:E,size:[b-A+1,w-D+1]})}t.prototype.forEach=function(v,A){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var b=this,D=this._size[0],w=this._size[1],M=0;M<w;M++){var j=this._ptr[M],N=this._ptr[M+1];if(A)for(var I=j;I<N;I++){var E=this._index[I];v(this._values[I],[E,M],b)}else{for(var C={},S=j;S<N;S++){var F=this._index[S];C[F]=this._values[S]}for(var T=0;T<D;T++){var G=T in C?C[T]:0;v(G,[T,M],b)}}}},t.prototype[Symbol.iterator]=function*(){if(!this._values)throw new Error("Cannot iterate a Pattern only matrix");for(var v=this._size[1],A=0;A<v;A++)for(var b=this._ptr[A],D=this._ptr[A+1],w=b;w<D;w++){var M=this._index[w];yield{value:this._values[w],index:[M,A]}}},t.prototype.toArray=function(){return y(this._values,this._index,this._ptr,this._size,!0)},t.prototype.valueOf=function(){return y(this._values,this._index,this._ptr,this._size,!1)};function y(v,A,b,D,w){var M=D[0],j=D[1],N=[],I,E;for(I=0;I<M;I++)for(N[I]=[],E=0;E<j;E++)N[I][E]=0;for(E=0;E<j;E++)for(var C=b[E],S=b[E+1],F=C;F<S;F++)I=A[F],N[I][E]=v?w?er(v[F]):v[F]:1;return N}return t.prototype.format=function(v){for(var A=this._size[0],b=this._size[1],D=this.density(),w="Sparse Matrix ["+lr(A,v)+" x "+lr(b,v)+"] density: "+lr(D,v)+`
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new Error("Only two dimensional matrix is supported");return it(v,this._size[0]),it(A,this._size[0]),t._swapRows(v,A,this._size[1],this._values,this._index,this._ptr),this},t._forEachRow=function(v,A,b,D,w){for(var M=D[v],j=D[v+1],N=M;N<j;N++)w(b[N],A[N])},t._swapRows=function(v,A,b,D,w,M){for(var j=0;j<b;j++){var N=M[j],I=M[j+1],E=f(v,N,I,w),C=f(A,N,I,w);if(E<I&&C<I&&w[E]===v&&w[C]===A){if(D){var S=D[E];D[E]=D[C],D[C]=S}continue}if(E<I&&w[E]===v&&(C>=I||w[C]!==A)){var F=D?D[E]:void 0;w.splice(C,0,A),D&&D.splice(C,0,F),w.splice(C<=E?E+1:E,1),D&&D.splice(C<=E?E+1:E,1);continue}if(C<I&&w[C]===A&&(E>=I||w[E]!==v)){var T=D?D[C]:void 0;w.splice(E,0,v),D&&D.splice(E,0,T),w.splice(E<=C?C+1:C,1),D&&D.splice(E<=C?C+1:C,1)}}},t},{isClass:!0});var $H="number",ZH=["typed"];function VH(e){var r=e.match(/(0[box])([0-9a-fA-F]*)\.([0-9a-fA-F]*)/);if(r){var n={"0b":2,"0o":8,"0x":16}[r[1]],i=r[2],t=r[3];return{input:e,radix:n,integerPart:i,fractionalPart:t}}else return null}function XH(e){for(var 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c(l){if(l.length===0)throw new TypeError("At least one column is needed to construct a matrix.");for(var u=m(l[0]),f=[],o=0;o<u;o++)f[o]=[];for(var s of l){var h=m(s);if(h!==u)throw new TypeError("The vectors had different length: "+(u|0)+" \u2260 "+(h|0));for(var g=i(s),y=0;y<u;y++)f[y].push(g[y])}return f}function m(l){var u=t(l);if(u.length===1)return u[0];if(u.length===2){if(u[0]===1)return u[1];if(u[1]===1)return u[0];throw new TypeError("At least one of the arguments is not a vector.")}else throw new TypeError("Only one- or two-dimensional vectors are supported.")}});var _E="splitUnit",cG=["typed"],Ls=_(_E,cG,e=>{var{typed:r}=e;return r(_E,{"Unit, Array":function(i,t){return i.splitUnit(t)}})});var BE="unaryMinus",uG=["typed"],ks=_(BE,uG,e=>{var{typed:r}=e;return r(BE,{number:D1,Complex:function(i){return i.neg()},BigNumber:function(i){return i.neg()},Fraction:function(i){return i.neg()},Unit:function(i){var t=i.clone();return t.value=this(i.value),t},"Array | 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new an(c,l.length);return nr(t)?t.create(fg(t.valueOf(),c,m)):fg(t,c,m)}})});function fg(e,r,n){var i,t,c;if(r<=0)if(Array.isArray(e[0])){for(c=lG(e),t=[],i=0;i<c.length;i++)t[i]=fg(c[i],r-1,n);return t}else return n(e);else{for(t=[],i=0;i<e.length;i++)t[i]=fg(e[i],r-1,n);return t}}function lG(e){var r=e.length,n=e[0].length,i,t,c=[];for(t=0;t<n;t++){var m=[];for(i=0;i<r;i++)m.push(e[i][t]);c.push(m)}return c}var FE="addScalar",dG=["typed"],Ws=_(FE,dG,e=>{var{typed:r}=e;return r(FE,{"number, number":N1,"Complex, Complex":function(i,t){return i.add(t)},"BigNumber, BigNumber":function(i,t){return i.plus(t)},"Fraction, Fraction":function(i,t){return i.add(t)},"Unit, Unit":function(i,t){if(i.value===null||i.value===void 0)throw new Error("Parameter x contains a unit with undefined value");if(t.value===null||t.value===void 0)throw new Error("Parameter y contains a unit with undefined value");if(!i.equalBase(t))throw new Error("Units do not match");var c=i.clone();return c.value=this(c.value,t.value),c.fixPrefix=!1,c}})});var PE="cbrt",hG=["config","typed","isNegative","unaryMinus","matrix","Complex","BigNumber","Fraction"],$s=_(PE,hG,e=>{var{config:r,typed:n,isNegative:i,unaryMinus:t,matrix:c,Complex:m,BigNumber:l,Fraction:u}=e;return n(PE,{number:ad,Complex:f,"Complex, boolean":f,BigNumber:function(h){return h.cbrt()},Unit:o,"Array | Matrix":function(h){return _e(h,this,!0)}});function f(s,h){var g=s.arg()/3,y=s.abs(),v=new m(ad(y),0).mul(new m(0,g).exp());if(h){var A=[v,new m(ad(y),0).mul(new m(0,g+Math.PI*2/3).exp()),new m(ad(y),0).mul(new m(0,g-Math.PI*2/3).exp())];return r.matrix==="Array"?A:c(A)}else return v}function o(s){if(s.value&&Vt(s.value)){var h=s.clone();return h.value=1,h=h.pow(1/3),h.value=f(s.value),h}else{var g=i(s.value);g&&(s.value=t(s.value));var y;ir(s.value)?y=new l(1).div(3):Mn(s.value)?y=new u(1,3):y=1/3;var v=s.pow(y);return g&&(v.value=t(v.value)),v}}});var UE=Qn(ig());var vG="algorithm11",gG=["typed","equalScalar"],Jr=_(vG,gG,e=>{var{typed:r,equalScalar:n}=e;return function(t,c,m,l){var u=t._values,f=t._index,o=t._ptr,s=t._size,h=t._datatype;if(!u)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var g=s[0],y=s[1],v,A=n,b=0,D=m;typeof h=="string"&&(v=h,A=r.find(n,[v,v]),b=r.convert(0,v),c=r.convert(c,v),D=r.find(m,[v,v]));for(var w=[],M=[],j=[],N=0;N<y;N++){j[N]=M.length;for(var I=o[N],E=o[N+1],C=I;C<E;C++){var S=f[C],F=l?D(c,u[C]):D(u[C],c);A(F,b)||(M.push(S),w.push(F))}}return j[y]=M.length,t.createSparseMatrix({values:w,index:M,ptr:j,size:[g,y],datatype:v})}});var yG="algorithm14",xG=["typed"],sr=_(yG,xG,e=>{var{typed:r}=e;return function(t,c,m,l){var u=t._data,f=t._size,o=t._datatype,s,h=m;typeof o=="string"&&(s=o,c=r.convert(c,s),h=r.find(m,[s,s]));var g=f.length>0?n(h,0,f,f[0],u,c,l):[];return t.createDenseMatrix({data:g,size:er(f),datatype:s})};function n(i,t,c,m,l,u,f){var o=[];if(t===c.length-1)for(var s=0;s<m;s++)o[s]=f?i(u,l[s]):i(l[s],u);else for(var h=0;h<m;h++)o[h]=n(i,t+1,c,c[t+1],l[h],u,f);return o}});var bG="ceil",wG=["typed","config","round","matrix","equalScalar"],Zs=_(bG,wG,e=>{var{typed:r,config:n,round:i,matrix:t,equalScalar:c}=e,m=Jr({typed:r,equalScalar:c}),l=sr({typed:r});return r("ceil",{number:function(f){return qt(f,i(f),n.epsilon)?i(f):j1(f)},"number, number":function(f,o){if(qt(f,i(f,o),n.epsilon))return i(f,o);var[s,h]="".concat(f,"e").split("e"),g=Math.ceil(Number("".concat(s,"e").concat(Number(h)+o)));return[s,h]="".concat(g,"e").split("e"),Number("".concat(s,"e").concat(Number(h)-o))},Complex:function(f){return f.ceil()},"Complex, number":function(f,o){return f.ceil(o)},BigNumber:function(f){return mn(f,i(f),n.epsilon)?i(f):f.ceil()},"BigNumber, BigNumber":function(f,o){return mn(f,i(f,o),n.epsilon)?i(f,o):f.toDecimalPlaces(o.toNumber(),UE.default.ROUND_CEIL)},Fraction:function(f){return f.ceil()},"Fraction, number":function(f,o){return f.ceil(o)},"Array | 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new n(c*Math.cos(t.im)-1,c*Math.sin(t.im))},BigNumber:function(t){return t.exp().minus(1)},"Array | Matrix":function(t){return _e(t,this)}})});var MG="fix",jG=["typed","Complex","matrix","ceil","floor"],Ys=_(MG,jG,e=>{var{typed:r,Complex:n,matrix:i,ceil:t,floor:c}=e,m=sr({typed:r});return r("fix",{number:function(u){return u>0?c(u):t(u)},"number, number | BigNumber":function(u,f){return u>0?c(u,f):t(u,f)},Complex:function(u){return new n(u.re>0?Math.floor(u.re):Math.ceil(u.re),u.im>0?Math.floor(u.im):Math.ceil(u.im))},"Complex, number | BigNumber":function(u,f){return new n(u.re>0?c(u.re,f):t(u.re,f),u.im>0?c(u.im,f):t(u.im,f))},BigNumber:function(u){return u.isNegative()?t(u):c(u)},"BigNumber, number | BigNumber":function(u,f){return u.isNegative()?t(u,f):c(u,f)},Fraction:function(u){return u.s<0?u.ceil():u.floor()},"Fraction, number | BigNumber":function(u,f){return u.s<0?u.ceil(f):u.floor(f)},"Array | Matrix":function(u){return _e(u,this,!0)},"Array | Matrix, number | 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f.floor()},"Fraction, number":function(f,o){return f.floor(o)},"Array | Matrix":function(f){return _e(f,this,!0)},"Array | Matrix, number":function(f,o){return _e(f,s=>this(s,o),!0)},"SparseMatrix, number | BigNumber":function(f,o){return m(f,o,this,!1)},"DenseMatrix, number | BigNumber":function(f,o){return l(f,o,this,!1)},"number | Complex | BigNumber, Array":function(f,o){return l(t(o),f,this,!0).valueOf()}})});var CG="algorithm01",TG=["typed"],Cn=_(CG,TG,e=>{var{typed:r}=e;return function(i,t,c,m){var l=i._data,u=i._size,f=i._datatype,o=t._values,s=t._index,h=t._ptr,g=t._size,y=t._datatype;if(u.length!==g.length)throw new pr(u.length,g.length);if(u[0]!==g[0]||u[1]!==g[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+g+")");if(!o)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var v=u[0],A=u[1],b=typeof f=="string"&&f===y?f:void 0,D=b?r.find(c,[b,b]):c,w,M,j=[];for(w=0;w<v;w++)j[w]=[];var N=[],I=[];for(M=0;M<A;M++){for(var E=M+1,C=h[M],S=h[M+1],F=C;F<S;F++)w=s[F],N[w]=m?D(o[F],l[w][M]):D(l[w][M],o[F]),I[w]=E;for(w=0;w<v;w++)I[w]===E?j[w][M]=N[w]:j[w][M]=l[w][M]}return i.createDenseMatrix({data:j,size:[v,A],datatype:b})}});var OG="algorithm04",_G=["typed","equalScalar"],sd=_(OG,_G,e=>{var{typed:r,equalScalar:n}=e;return function(t,c,m){var l=t._values,u=t._index,f=t._ptr,o=t._size,s=t._datatype,h=c._values,g=c._index,y=c._ptr,v=c._size,A=c._datatype;if(o.length!==v.length)throw new pr(o.length,v.length);if(o[0]!==v[0]||o[1]!==v[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+v+")");var b=o[0],D=o[1],w,M=n,j=0,N=m;typeof s=="string"&&s===A&&(w=s,M=r.find(n,[w,w]),j=r.convert(0,w),N=r.find(m,[w,w]));var I=l&&h?[]:void 0,E=[],C=[],S=l&&h?[]:void 0,F=l&&h?[]:void 0,T=[],G=[],Q,re,Y,L,te;for(re=0;re<D;re++){C[re]=E.length;var q=re+1;for(L=f[re],te=f[re+1],Y=L;Y<te;Y++)Q=u[Y],E.push(Q),T[Q]=q,S&&(S[Q]=l[Y]);for(L=y[re],te=y[re+1],Y=L;Y<te;Y++)if(Q=g[Y],T[Q]===q){if(S){var ie=N(S[Q],h[Y]);M(ie,j)?T[Q]=null:S[Q]=ie}}else E.push(Q),G[Q]=q,F&&(F[Q]=h[Y]);if(S&&F)for(Y=C[re];Y<E.length;)Q=E[Y],T[Q]===q?(I[Y]=S[Q],Y++):G[Q]===q?(I[Y]=F[Q],Y++):E.splice(Y,1)}return C[D]=E.length,t.createSparseMatrix({values:I,index:E,ptr:C,size:[b,D],datatype:w})}});var BG="algorithm10",IG=["typed","DenseMatrix"],ti=_(BG,IG,e=>{var{typed:r,DenseMatrix:n}=e;return function(t,c,m,l){var u=t._values,f=t._index,o=t._ptr,s=t._size,h=t._datatype;if(!u)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var g=s[0],y=s[1],v,A=m;typeof h=="string"&&(v=h,c=r.convert(c,v),A=r.find(m,[v,v]));for(var b=[],D=[],w=[],M=0;M<y;M++){for(var j=M+1,N=o[M],I=o[M+1],E=N;E<I;E++){var C=f[E];D[C]=u[E],w[C]=j}for(var S=0;S<g;S++)M===0&&(b[S]=[]),w[S]===j?b[S][M]=l?A(c,D[S]):A(D[S],c):b[S][M]=c}return new n({data:b,size:[g,y],datatype:v})}});var RG="algorithm13",qG=["typed"],dr=_(RG,qG,e=>{var{typed:r}=e;return function(t,c,m){var l=t._data,u=t._size,f=t._datatype,o=c._data,s=c._size,h=c._datatype,g=[];if(u.length!==s.length)throw new pr(u.length,s.length);for(var y=0;y<u.length;y++){if(u[y]!==s[y])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+s+")");g[y]=u[y]}var v,A=m;typeof f=="string"&&f===h&&(v=f,A=r.find(m,[v,v]));var b=g.length>0?n(A,0,g,g[0],l,o):[];return t.createDenseMatrix({data:b,size:g,datatype:v})};function n(i,t,c,m,l,u){var f=[];if(t===c.length-1)for(var o=0;o<m;o++)f[o]=i(l[o],u[o]);else for(var s=0;s<m;s++)f[s]=n(i,t+1,c,c[t+1],l[s],u[s]);return f}});var GE="gcd",FG=["typed","matrix","equalScalar","BigNumber","DenseMatrix"],Ks=_(GE,FG,e=>{var{typed:r,matrix:n,equalScalar:i,BigNumber:t,DenseMatrix:c}=e,m=Cn({typed:r}),l=sd({typed:r,equalScalar:i}),u=ti({typed:r,DenseMatrix:c}),f=dr({typed:r}),o=sr({typed:r});return r(GE,{"number, number":T1,"BigNumber, BigNumber":s,"Fraction, Fraction":function(g,y){return g.gcd(y)},"SparseMatrix, SparseMatrix":function(g,y){return l(g,y,this)},"SparseMatrix, DenseMatrix":function(g,y){return m(y,g,this,!0)},"DenseMatrix, SparseMatrix":function(g,y){return m(g,y,this,!1)},"DenseMatrix, DenseMatrix":function(g,y){return f(g,y,this)},"Array, Array":function(g,y){return this(n(g),n(y)).valueOf()},"Array, Matrix":function(g,y){return this(n(g),y)},"Matrix, Array":function(g,y){return this(g,n(y))},"SparseMatrix, number | BigNumber":function(g,y){return u(g,y,this,!1)},"DenseMatrix, number | BigNumber":function(g,y){return o(g,y,this,!1)},"number | BigNumber, SparseMatrix":function(g,y){return u(y,g,this,!0)},"number | BigNumber, DenseMatrix":function(g,y){return o(y,g,this,!0)},"Array, number | BigNumber":function(g,y){return o(n(g),y,this,!1).valueOf()},"number | BigNumber, Array":function(g,y){return o(n(y),g,this,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(g,y,v){for(var A=this(g,y),b=0;b<v.length;b++)A=this(A,v[b]);return A}});function s(h,g){if(!h.isInt()||!g.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var y=new t(0);!g.isZero();){var v=h.mod(g);h=g,g=v}return h.lt(y)?h.neg():h}});var PG="algorithm02",UG=["typed","equalScalar"],Ft=_(PG,UG,e=>{var{typed:r,equalScalar:n}=e;return function(t,c,m,l){var u=t._data,f=t._size,o=t._datatype,s=c._values,h=c._index,g=c._ptr,y=c._size,v=c._datatype;if(f.length!==y.length)throw new pr(f.length,y.length);if(f[0]!==y[0]||f[1]!==y[1])throw new RangeError("Dimension mismatch. Matrix A ("+f+") must match Matrix B ("+y+")");if(!s)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var A=f[0],b=f[1],D,w=n,M=0,j=m;typeof o=="string"&&o===v&&(D=o,w=r.find(n,[D,D]),M=r.convert(0,D),j=r.find(m,[D,D]));for(var N=[],I=[],E=[],C=0;C<b;C++){E[C]=I.length;for(var S=g[C],F=g[C+1],T=S;T<F;T++){var G=h[T],Q=l?j(s[T],u[G][C]):j(u[G][C],s[T]);w(Q,M)||(I.push(G),N.push(Q))}}return E[b]=I.length,c.createSparseMatrix({values:N,index:I,ptr:E,size:[A,b],datatype:D})}});var zG="algorithm06",LG=["typed","equalScalar"],Bo=_(zG,LG,e=>{var{typed:r,equalScalar:n}=e;return function(t,c,m){var l=t._values,u=t._size,f=t._datatype,o=c._values,s=c._size,h=c._datatype;if(u.length!==s.length)throw new pr(u.length,s.length);if(u[0]!==s[0]||u[1]!==s[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+s+")");var g=u[0],y=u[1],v,A=n,b=0,D=m;typeof f=="string"&&f===h&&(v=f,A=r.find(n,[v,v]),b=r.convert(0,v),D=r.find(m,[v,v]));for(var w=l&&o?[]:void 0,M=[],j=[],N=w?[]:void 0,I=[],E=[],C=0;C<y;C++){j[C]=M.length;var S=C+1;if(b1(t,C,I,N,E,S,M,D),b1(c,C,I,N,E,S,M,D),N)for(var F=j[C];F<M.length;){var T=M[F];if(E[T]===S){var G=N[T];A(G,b)?M.splice(F,1):(w.push(G),F++)}else M.splice(F,1)}else for(var Q=j[C];Q<M.length;){var re=M[Q];E[re]!==S?M.splice(Q,1):Q++}}return j[y]=M.length,t.createSparseMatrix({values:w,index:M,ptr:j,size:[g,y],datatype:v})}});var WE="lcm",kG=["typed","matrix","equalScalar"],ec=_(WE,kG,e=>{var{typed:r,matrix:n,equalScalar:i}=e,t=Ft({typed:r,equalScalar:i}),c=Bo({typed:r,equalScalar:i}),m=Jr({typed:r,equalScalar:i}),l=dr({typed:r}),u=sr({typed:r});return r(WE,{"number, number":O1,"BigNumber, BigNumber":f,"Fraction, Fraction":function(s,h){return s.lcm(h)},"SparseMatrix, SparseMatrix":function(s,h){return c(s,h,this)},"SparseMatrix, DenseMatrix":function(s,h){return t(h,s,this,!0)},"DenseMatrix, SparseMatrix":function(s,h){return t(s,h,this,!1)},"DenseMatrix, DenseMatrix":function(s,h){return l(s,h,this)},"Array, Array":function(s,h){return this(n(s),n(h)).valueOf()},"Array, Matrix":function(s,h){return this(n(s),h)},"Matrix, Array":function(s,h){return this(s,n(h))},"SparseMatrix, number | BigNumber":function(s,h){return m(s,h,this,!1)},"DenseMatrix, number | BigNumber":function(s,h){return u(s,h,this,!1)},"number | BigNumber, SparseMatrix":function(s,h){return m(h,s,this,!0)},"number | BigNumber, DenseMatrix":function(s,h){return u(h,s,this,!0)},"Array, number | BigNumber":function(s,h){return u(n(s),h,this,!1).valueOf()},"number | BigNumber, Array":function(s,h){return u(n(h),s,this,!0).valueOf()},"Array | Matrix | number | BigNumber, Array | Matrix | number | BigNumber, ...Array | Matrix | number | BigNumber":function(s,h,g){for(var y=this(s,h),v=0;v<g.length;v++)y=this(y,g[v]);return y}});function f(o,s){if(!o.isInt()||!s.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(o.isZero())return o;if(s.isZero())return s;for(var h=o.times(s);!s.isZero();){var g=s;s=o.mod(g),o=g}return h.div(o).abs()}});var $E="log10",HG=["typed","config","Complex"],rc=_($E,HG,e=>{var{typed:r,config:n,Complex:i}=e;return r($E,{number:function(c){return c>=0||n.predictable?B1(c):new i(c,0).log().div(Math.LN10)},Complex:function(c){return new i(c).log().div(Math.LN10)},BigNumber:function(c){return!c.isNegative()||n.predictable?c.log():new i(c.toNumber(),0).log().div(Math.LN10)},"Array | Matrix":function(c){return _e(c,this)}})});var ZE="log2",GG=["typed","config","Complex"],tc=_(ZE,GG,e=>{var{typed:r,config:n,Complex:i}=e;return r(ZE,{number:function(m){return m>=0||n.predictable?I1(m):t(new i(m,0))},Complex:t,BigNumber:function(m){return!m.isNegative()||n.predictable?m.log(2):t(new i(m.toNumber(),0))},"Array | Matrix":function(m){return _e(m,this)}});function t(c){var m=Math.sqrt(c.re*c.re+c.im*c.im);return new i(Math.log2?Math.log2(m):Math.log(m)/Math.LN2,Math.atan2(c.im,c.re)/Math.LN2)}});var WG="algorithm03",$G=["typed"],ut=_(WG,$G,e=>{var{typed:r}=e;return function(i,t,c,m){var l=i._data,u=i._size,f=i._datatype,o=t._values,s=t._index,h=t._ptr,g=t._size,y=t._datatype;if(u.length!==g.length)throw new pr(u.length,g.length);if(u[0]!==g[0]||u[1]!==g[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+g+")");if(!o)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var v=u[0],A=u[1],b,D=0,w=c;typeof f=="string"&&f===y&&(b=f,D=r.convert(0,b),w=r.find(c,[b,b]));for(var M=[],j=0;j<v;j++)M[j]=[];for(var N=[],I=[],E=0;E<A;E++){for(var C=E+1,S=h[E],F=h[E+1],T=S;T<F;T++){var G=s[T];N[G]=m?w(o[T],l[G][E]):w(l[G][E],o[T]),I[G]=C}for(var Q=0;Q<v;Q++)I[Q]===C?M[Q][E]=N[Q]:M[Q][E]=m?w(D,l[Q][E]):w(l[Q][E],D)}return i.createDenseMatrix({data:M,size:[v,A],datatype:b})}});var ZG="algorithm05",VG=["typed","equalScalar"],Io=_(ZG,VG,e=>{var{typed:r,equalScalar:n}=e;return function(t,c,m){var l=t._values,u=t._index,f=t._ptr,o=t._size,s=t._datatype,h=c._values,g=c._index,y=c._ptr,v=c._size,A=c._datatype;if(o.length!==v.length)throw new pr(o.length,v.length);if(o[0]!==v[0]||o[1]!==v[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+v+")");var b=o[0],D=o[1],w,M=n,j=0,N=m;typeof s=="string"&&s===A&&(w=s,M=r.find(n,[w,w]),j=r.convert(0,w),N=r.find(m,[w,w]));var I=l&&h?[]:void 0,E=[],C=[],S=I?[]:void 0,F=I?[]:void 0,T=[],G=[],Q,re,Y,L;for(re=0;re<D;re++){C[re]=E.length;var te=re+1;for(Y=f[re],L=f[re+1];Y<L;Y++)Q=u[Y],E.push(Q),T[Q]=te,S&&(S[Q]=l[Y]);for(Y=y[re],L=y[re+1];Y<L;Y++)Q=g[Y],T[Q]!==te&&E.push(Q),G[Q]=te,F&&(F[Q]=h[Y]);if(I)for(Y=C[re];Y<E.length;){Q=E[Y];var q=T[Q],ie=G[Q];if(q===te||ie===te){var ve=q===te?S[Q]:j,je=ie===te?F[Q]:j,ee=N(ve,je);M(ee,j)?E.splice(Y,1):(I.push(ee),Y++)}}}return C[D]=E.length,t.createSparseMatrix({values:I,index:E,ptr:C,size:[b,D],datatype:w})}});var XG="algorithm12",QG=["typed","DenseMatrix"],pt=_(XG,QG,e=>{var{typed:r,DenseMatrix:n}=e;return function(t,c,m,l){var u=t._values,f=t._index,o=t._ptr,s=t._size,h=t._datatype;if(!u)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var g=s[0],y=s[1],v,A=m;typeof h=="string"&&(v=h,c=r.convert(c,v),A=r.find(m,[v,v]));for(var b=[],D=[],w=[],M=0;M<y;M++){for(var j=M+1,N=o[M],I=o[M+1],E=N;E<I;E++){var C=f[E];D[C]=u[E],w[C]=j}for(var S=0;S<g;S++)M===0&&(b[S]=[]),w[S]===j?b[S][M]=l?A(c,D[S]):A(D[S],c):b[S][M]=l?A(c,0):A(0,c)}return new n({data:b,size:[g,y],datatype:v})}});var VE="mod",YG=["typed","matrix","equalScalar","DenseMatrix"],nc=_(VE,YG,e=>{var{typed:r,matrix:n,equalScalar:i,DenseMatrix:t}=e,c=Ft({typed:r,equalScalar:i}),m=ut({typed:r}),l=Io({typed:r,equalScalar:i}),u=Jr({typed:r,equalScalar:i}),f=pt({typed:r,DenseMatrix:t}),o=dr({typed:r}),s=sr({typed:r});return r(VE,{"number, number":R1,"BigNumber, BigNumber":function(g,y){if(y.isNeg())throw new Error("Cannot calculate mod for a negative divisor");return y.isZero()?g:g.mod(y)},"Fraction, Fraction":function(g,y){if(y.compare(0)<0)throw new Error("Cannot calculate mod for a negative divisor");return g.compare(0)>=0?g.mod(y):g.mod(y).add(y).mod(y)},"SparseMatrix, SparseMatrix":function(g,y){return l(g,y,this,!1)},"SparseMatrix, DenseMatrix":function(g,y){return c(y,g,this,!0)},"DenseMatrix, SparseMatrix":function(g,y){return m(g,y,this,!1)},"DenseMatrix, DenseMatrix":function(g,y){return o(g,y,this)},"Array, Array":function(g,y){return this(n(g),n(y)).valueOf()},"Array, Matrix":function(g,y){return this(n(g),y)},"Matrix, Array":function(g,y){return this(g,n(y))},"SparseMatrix, any":function(g,y){return u(g,y,this,!1)},"DenseMatrix, any":function(g,y){return s(g,y,this,!1)},"any, SparseMatrix":function(g,y){return f(y,g,this,!0)},"any, DenseMatrix":function(g,y){return s(y,g,this,!0)},"Array, any":function(g,y){return s(n(g),y,this,!1).valueOf()},"any, Array":function(g,y){return s(n(y),g,this,!0).valueOf()}})});var JG="multiplyScalar",KG=["typed"],ic=_(JG,KG,e=>{var{typed:r}=e;return r("multiplyScalar",{"number, number":A1,"Complex, Complex":function(i,t){return i.mul(t)},"BigNumber, BigNumber":function(i,t){return i.times(t)},"Fraction, Fraction":function(i,t){return i.mul(t)},"number | Fraction | BigNumber | Complex, Unit":function(i,t){var c=t.clone();return c.value=c.value===null?c._normalize(i):this(c.value,i),c},"Unit, number | Fraction | BigNumber | Complex":function(i,t){var c=i.clone();return c.value=c.value===null?c._normalize(t):this(c.value,t),c},"Unit, Unit":function(i,t){return i.multiply(t)}})});var XE="multiply",eW=["typed","matrix","addScalar","multiplyScalar","equalScalar","dot"],ac=_(XE,eW,e=>{var{typed:r,matrix:n,addScalar:i,multiplyScalar:t,equalScalar:c,dot:m}=e,l=Jr({typed:r,equalScalar:c}),u=sr({typed:r});function f(j,N){switch(j.length){case 1:switch(N.length){case 1:if(j[0]!==N[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(j[0]!==N[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+j[0]+") must match Matrix rows ("+N[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+N.length+" dimensions)")}break;case 2:switch(N.length){case 1:if(j[1]!==N[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+j[1]+") must match Vector length ("+N[0]+")");break;case 2:if(j[1]!==N[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+j[1]+") must match Matrix B rows ("+N[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+N.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+j.length+" dimensions)")}}function o(j,N,I){if(I===0)throw new Error("Cannot multiply two empty vectors");return m(j,N)}function s(j,N){if(N.storage()!=="dense")throw new Error("Support for SparseMatrix not implemented");return h(j,N)}function h(j,N){var I=j._data,E=j._size,C=j._datatype,S=N._data,F=N._size,T=N._datatype,G=E[0],Q=F[1],re,Y=i,L=t;C&&T&&C===T&&typeof C=="string"&&(re=C,Y=r.find(i,[re,re]),L=r.find(t,[re,re]));for(var te=[],q=0;q<Q;q++){for(var ie=L(I[0],S[0][q]),ve=1;ve<G;ve++)ie=Y(ie,L(I[ve],S[ve][q]));te[q]=ie}return j.createDenseMatrix({data:te,size:[Q],datatype:re})}var g=r("_multiplyMatrixVector",{"DenseMatrix, any":v,"SparseMatrix, any":D}),y=r("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":A,"DenseMatrix, SparseMatrix":b,"SparseMatrix, DenseMatrix":w,"SparseMatrix, SparseMatrix":M});function v(j,N){var I=j._data,E=j._size,C=j._datatype,S=N._data,F=N._datatype,T=E[0],G=E[1],Q,re=i,Y=t;C&&F&&C===F&&typeof C=="string"&&(Q=C,re=r.find(i,[Q,Q]),Y=r.find(t,[Q,Q]));for(var L=[],te=0;te<T;te++){for(var q=I[te],ie=Y(q[0],S[0]),ve=1;ve<G;ve++)ie=re(ie,Y(q[ve],S[ve]));L[te]=ie}return j.createDenseMatrix({data:L,size:[T],datatype:Q})}function A(j,N){var I=j._data,E=j._size,C=j._datatype,S=N._data,F=N._size,T=N._datatype,G=E[0],Q=E[1],re=F[1],Y,L=i,te=t;C&&T&&C===T&&typeof C=="string"&&(Y=C,L=r.find(i,[Y,Y]),te=r.find(t,[Y,Y]));for(var q=[],ie=0;ie<G;ie++){var ve=I[ie];q[ie]=[];for(var je=0;je<re;je++){for(var ee=te(ve[0],S[0][je]),xe=1;xe<Q;xe++)ee=L(ee,te(ve[xe],S[xe][je]));q[ie][je]=ee}}return j.createDenseMatrix({data:q,size:[G,re],datatype:Y})}function b(j,N){var I=j._data,E=j._size,C=j._datatype,S=N._values,F=N._index,T=N._ptr,G=N._size,Q=N._datatype;if(!S)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var re=E[0],Y=G[1],L,te=i,q=t,ie=c,ve=0;C&&Q&&C===Q&&typeof C=="string"&&(L=C,te=r.find(i,[L,L]),q=r.find(t,[L,L]),ie=r.find(c,[L,L]),ve=r.convert(0,L));for(var je=[],ee=[],xe=[],ne=N.createSparseMatrix({values:je,index:ee,ptr:xe,size:[re,Y],datatype:L}),ae=0;ae<Y;ae++){xe[ae]=ee.length;var ge=T[ae],ye=T[ae+1];if(ye>ge)for(var Se=0,De=0;De<re;De++){for(var Ve=De+1,Xe=void 0,ze=ge;ze<ye;ze++){var Ke=F[ze];Se!==Ve?(Xe=q(I[De][Ke],S[ze]),Se=Ve):Xe=te(Xe,q(I[De][Ke],S[ze]))}Se===Ve&&!ie(Xe,ve)&&(ee.push(De),je.push(Xe))}}return xe[Y]=ee.length,ne}function D(j,N){var I=j._values,E=j._index,C=j._ptr,S=j._datatype;if(!I)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var F=N._data,T=N._datatype,G=j._size[0],Q=N._size[0],re=[],Y=[],L=[],te,q=i,ie=t,ve=c,je=0;S&&T&&S===T&&typeof S=="string"&&(te=S,q=r.find(i,[te,te]),ie=r.find(t,[te,te]),ve=r.find(c,[te,te]),je=r.convert(0,te));var ee=[],xe=[];L[0]=0;for(var ne=0;ne<Q;ne++){var ae=F[ne];if(!ve(ae,je))for(var ge=C[ne],ye=C[ne+1],Se=ge;Se<ye;Se++){var De=E[Se];xe[De]?ee[De]=q(ee[De],ie(ae,I[Se])):(xe[De]=!0,Y.push(De),ee[De]=ie(ae,I[Se]))}}for(var Ve=Y.length,Xe=0;Xe<Ve;Xe++){var ze=Y[Xe];re[Xe]=ee[ze]}return L[1]=Y.length,j.createSparseMatrix({values:re,index:Y,ptr:L,size:[G,1],datatype:te})}function w(j,N){var I=j._values,E=j._index,C=j._ptr,S=j._datatype;if(!I)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var F=N._data,T=N._datatype,G=j._size[0],Q=N._size[0],re=N._size[1],Y,L=i,te=t,q=c,ie=0;S&&T&&S===T&&typeof S=="string"&&(Y=S,L=r.find(i,[Y,Y]),te=r.find(t,[Y,Y]),q=r.find(c,[Y,Y]),ie=r.convert(0,Y));for(var ve=[],je=[],ee=[],xe=j.createSparseMatrix({values:ve,index:je,ptr:ee,size:[G,re],datatype:Y}),ne=[],ae=[],ge=0;ge<re;ge++){ee[ge]=je.length;for(var ye=ge+1,Se=0;Se<Q;Se++){var De=F[Se][ge];if(!q(De,ie))for(var Ve=C[Se],Xe=C[Se+1],ze=Ve;ze<Xe;ze++){var Ke=E[ze];ae[Ke]!==ye?(ae[Ke]=ye,je.push(Ke),ne[Ke]=te(De,I[ze])):ne[Ke]=L(ne[Ke],te(De,I[ze]))}}for(var K=ee[ge],oe=je.length,V=K;V<oe;V++){var J=je[V];ve[V]=ne[J]}}return ee[re]=je.length,xe}function M(j,N){var I=j._values,E=j._index,C=j._ptr,S=j._datatype,F=N._values,T=N._index,G=N._ptr,Q=N._datatype,re=j._size[0],Y=N._size[1],L=I&&F,te,q=i,ie=t;S&&Q&&S===Q&&typeof S=="string"&&(te=S,q=r.find(i,[te,te]),ie=r.find(t,[te,te]));for(var ve=L?[]:void 0,je=[],ee=[],xe=j.createSparseMatrix({values:ve,index:je,ptr:ee,size:[re,Y],datatype:te}),ne=L?[]:void 0,ae=[],ge,ye,Se,De,Ve,Xe,ze,Ke,K=0;K<Y;K++){ee[K]=je.length;var oe=K+1;for(Ve=G[K],Xe=G[K+1],De=Ve;De<Xe;De++)if(Ke=T[De],L)for(ye=C[Ke],Se=C[Ke+1],ge=ye;ge<Se;ge++)ze=E[ge],ae[ze]!==oe?(ae[ze]=oe,je.push(ze),ne[ze]=ie(F[De],I[ge])):ne[ze]=q(ne[ze],ie(F[De],I[ge]));else for(ye=C[Ke],Se=C[Ke+1],ge=ye;ge<Se;ge++)ze=E[ge],ae[ze]!==oe&&(ae[ze]=oe,je.push(ze));if(L)for(var V=ee[K],J=je.length,fe=V;fe<J;fe++){var ce=je[fe];ve[fe]=ne[ce]}}return ee[Y]=je.length,xe}return r(XE,Yl({"Array, Array":function(N,I){f(Nr(N),Nr(I));var E=this(n(N),n(I));return nr(E)?E.valueOf():E},"Matrix, Matrix":function(N,I){var E=N.size(),C=I.size();return f(E,C),E.length===1?C.length===1?o(N,I,E[0]):s(N,I):C.length===1?g(N,I):y(N,I)},"Matrix, Array":function(N,I){return this(N,n(I))},"Array, Matrix":function(N,I){return this(n(N,I.storage()),I)},"SparseMatrix, any":function(N,I){return l(N,I,t,!1)},"DenseMatrix, any":function(N,I){return u(N,I,t,!1)},"any, SparseMatrix":function(N,I){return l(I,N,t,!0)},"any, DenseMatrix":function(N,I){return u(I,N,t,!0)},"Array, any":function(N,I){return u(n(N),I,t,!1).valueOf()},"any, Array":function(N,I){return u(n(I),N,t,!0).valueOf()},"any, any":t,"any, any, ...any":function(N,I,E){for(var C=this(N,I),S=0;S<E.length;S++)C=this(C,E[S]);return C}},t.signatures))});var QE="nthRoot",rW=["typed","matrix","equalScalar","BigNumber"],oc=_(QE,rW,e=>{var{typed:r,matrix:n,equalScalar:i,BigNumber:t}=e,c=Cn({typed:r}),m=Ft({typed:r,equalScalar:i}),l=Bo({typed:r,equalScalar:i}),u=Jr({typed:r,equalScalar:i}),f=dr({typed:r}),o=sr({typed:r}),s="Complex number not supported in function nthRoot. Use nthRoots instead.";return r(QE,{number:function(y){return og(y,2)},"number, number":og,BigNumber:function(y){return h(y,new t(2))},Complex:function(y){throw new Error(s)},"Complex, number":function(y,v){throw new Error(s)},"BigNumber, BigNumber":h,"Array | Matrix":function(y){return this(y,2)},"SparseMatrix, SparseMatrix":function(y,v){if(v.density()===1)return l(y,v,this);throw new Error("Root must be non-zero")},"SparseMatrix, DenseMatrix":function(y,v){return m(v,y,this,!0)},"DenseMatrix, SparseMatrix":function(y,v){if(v.density()===1)return c(y,v,this,!1);throw new Error("Root must be non-zero")},"DenseMatrix, DenseMatrix":function(y,v){return f(y,v,this)},"Array, Array":function(y,v){return this(n(y),n(v)).valueOf()},"Array, Matrix":function(y,v){return this(n(y),v)},"Matrix, Array":function(y,v){return this(y,n(v))},"SparseMatrix, number | BigNumber":function(y,v){return u(y,v,this,!1)},"DenseMatrix, number | BigNumber":function(y,v){return o(y,v,this,!1)},"number | 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m.im===0?i(sg(m.re)):m.sign()},BigNumber:function(m){return new n(m.cmp(0))},Fraction:function(m){return new t(m.s,1)},"Array | Matrix":function(m){return _e(m,this,!0)},Unit:function(m){return this(m.value)}})});var nW="sqrt",iW=["config","typed","Complex"],cc=_(nW,iW,e=>{var{config:r,typed:n,Complex:i}=e;return n("sqrt",{number:t,Complex:function(m){return m.sqrt()},BigNumber:function(m){return!m.isNegative()||r.predictable?m.sqrt():t(m.toNumber())},"Array | Matrix":function(m){return _e(m,this,!0)},Unit:function(m){return m.pow(.5)}});function t(c){return isNaN(c)?NaN:c>=0||r.predictable?Math.sqrt(c):new i(c,0).sqrt()}});var JE="square",aW=["typed"],uc=_(JE,aW,e=>{var{typed:r}=e;return r(JE,{number:q1,Complex:function(i){return i.mul(i)},BigNumber:function(i){return i.times(i)},Fraction:function(i){return i.mul(i)},"Array | Matrix":function(i){return _e(i,this,!0)},Unit:function(i){return i.pow(2)}})});var KE="subtract",oW=["typed","matrix","equalScalar","addScalar","unaryMinus","DenseMatrix"],pc=_(KE,oW,e=>{var{typed:r,matrix:n,equalScalar:i,addScalar:t,unaryMinus:c,DenseMatrix:m}=e,l=Cn({typed:r}),u=ut({typed:r}),f=Io({typed:r,equalScalar:i}),o=ti({typed:r,DenseMatrix:m}),s=dr({typed:r}),h=sr({typed:r});return r(KE,{"number, number":function(y,v){return y-v},"Complex, Complex":function(y,v){return y.sub(v)},"BigNumber, BigNumber":function(y,v){return y.minus(v)},"Fraction, Fraction":function(y,v){return y.sub(v)},"Unit, Unit":function(y,v){if(y.value===null)throw new Error("Parameter x contains a unit with undefined value");if(v.value===null)throw new Error("Parameter y contains a unit with undefined value");if(!y.equalBase(v))throw new Error("Units do not match");var A=y.clone();return A.value=this(A.value,v.value),A.fixPrefix=!1,A},"SparseMatrix, SparseMatrix":function(y,v){return mg(y,v),f(y,v,this)},"SparseMatrix, DenseMatrix":function(y,v){return mg(y,v),u(v,y,this,!0)},"DenseMatrix, SparseMatrix":function(y,v){return mg(y,v),l(y,v,this,!1)},"DenseMatrix, DenseMatrix":function(y,v){return mg(y,v),s(y,v,this)},"Array, Array":function(y,v){return this(n(y),n(v)).valueOf()},"Array, Matrix":function(y,v){return this(n(y),v)},"Matrix, Array":function(y,v){return this(y,n(v))},"SparseMatrix, any":function(y,v){return o(y,c(v),t)},"DenseMatrix, any":function(y,v){return h(y,v,this)},"any, SparseMatrix":function(y,v){return o(v,y,this,!0)},"any, DenseMatrix":function(y,v){return h(v,y,this,!0)},"Array, any":function(y,v){return h(n(y),v,this,!1).valueOf()},"any, Array":function(y,v){return h(n(v),y,this,!0).valueOf()}})});function mg(e,r){var n=e.size(),i=r.size();if(n.length!==i.length)throw new pr(n.length,i.length)}var eC="xgcd",sW=["typed","config","matrix","BigNumber"],fc=_(eC,sW,e=>{var{typed:r,config:n,matrix:i,BigNumber:t}=e;return r(eC,{"number, number":function(l,u){var f=F1(l,u);return n.matrix==="Array"?f:i(f)},"BigNumber, BigNumber":c});function c(m,l){var u,f,o,s=new t(0),h=new t(1),g=s,y=h,v=h,A=s;if(!m.isInt()||!l.isInt())throw new Error("Parameters in function xgcd must be integer numbers");for(;!l.isZero();)f=m.div(l).floor(),o=m.mod(l),u=g,g=y.minus(f.times(g)),y=u,u=v,v=A.minus(f.times(v)),A=u,m=l,l=o;var b;return m.lt(s)?b=[m.neg(),y.neg(),A.neg()]:b=[m,m.isZero()?0:y,A],n.matrix==="Array"?b:i(b)}});var cW="algorithm09",uW=["typed","equalScalar"],lg=_(cW,uW,e=>{var{typed:r,equalScalar:n}=e;return function(t,c,m){var l=t._values,u=t._index,f=t._ptr,o=t._size,s=t._datatype,h=c._values,g=c._index,y=c._ptr,v=c._size,A=c._datatype;if(o.length!==v.length)throw new pr(o.length,v.length);if(o[0]!==v[0]||o[1]!==v[1])throw new RangeError("Dimension mismatch. Matrix A ("+o+") must match Matrix B ("+v+")");var b=o[0],D=o[1],w,M=n,j=0,N=m;typeof s=="string"&&s===A&&(w=s,M=r.find(n,[w,w]),j=r.convert(0,w),N=r.find(m,[w,w]));var I=l&&h?[]:void 0,E=[],C=[],S=I?[]:void 0,F=[],T,G,Q,re,Y;for(G=0;G<D;G++){C[G]=E.length;var L=G+1;if(S)for(re=y[G],Y=y[G+1],Q=re;Q<Y;Q++)T=g[Q],F[T]=L,S[T]=h[Q];for(re=f[G],Y=f[G+1],Q=re;Q<Y;Q++)if(T=u[Q],S){var te=F[T]===L?S[T]:j,q=N(l[Q],te);M(q,j)||(E.push(T),I.push(q))}else E.push(T)}return C[D]=E.length,t.createSparseMatrix({values:I,index:E,ptr:C,size:[b,D],datatype:w})}});var rC="dotMultiply",pW=["typed","matrix","equalScalar","multiplyScalar"],mc=_(rC,pW,e=>{var{typed:r,matrix:n,equalScalar:i,multiplyScalar:t}=e,c=Ft({typed:r,equalScalar:i}),m=lg({typed:r,equalScalar:i}),l=Jr({typed:r,equalScalar:i}),u=dr({typed:r}),f=sr({typed:r});return r(rC,{"any, any":t,"SparseMatrix, SparseMatrix":function(s,h){return m(s,h,t,!1)},"SparseMatrix, DenseMatrix":function(s,h){return c(h,s,t,!0)},"DenseMatrix, SparseMatrix":function(s,h){return c(s,h,t,!1)},"DenseMatrix, DenseMatrix":function(s,h){return u(s,h,t)},"Array, Array":function(s,h){return this(n(s),n(h)).valueOf()},"Array, Matrix":function(s,h){return this(n(s),h)},"Matrix, Array":function(s,h){return this(s,n(h))},"SparseMatrix, any":function(s,h){return l(s,h,t,!1)},"DenseMatrix, any":function(s,h){return f(s,h,t,!1)},"any, SparseMatrix":function(s,h){return l(h,s,t,!0)},"any, DenseMatrix":function(s,h){return f(h,s,t,!0)},"Array, any":function(s,h){return f(n(s),h,t,!1).valueOf()},"any, Array":function(s,h){return f(n(h),s,t,!0).valueOf()}})});function tC(e,r){if(e.isFinite()&&!e.isInteger()||r.isFinite()&&!r.isInteger())throw new Error("Integers expected in function bitAnd");var n=e.constructor;if(e.isNaN()||r.isNaN())return new n(NaN);if(e.isZero()||r.eq(-1)||e.eq(r))return e;if(r.isZero()||e.eq(-1))return r;if(!e.isFinite()||!r.isFinite()){if(!e.isFinite()&&!r.isFinite())return e.isNegative()===r.isNegative()?e:new n(0);if(!e.isFinite())return r.isNegative()?e:e.isNegative()?new n(0):r;if(!r.isFinite())return e.isNegative()?r:r.isNegative()?new n(0):e}return xb(e,r,function(i,t){return i&t})}function cd(e){if(e.isFinite()&&!e.isInteger())throw new Error("Integer expected in function bitNot");var r=e.constructor,n=r.precision;r.config({precision:1e9});var i=e.plus(new r(1));return i.s=-i.s||null,r.config({precision:n}),i}function nC(e,r){if(e.isFinite()&&!e.isInteger()||r.isFinite()&&!r.isInteger())throw new Error("Integers expected in function bitOr");var n=e.constructor;if(e.isNaN()||r.isNaN())return new n(NaN);var i=new n(-1);return e.isZero()||r.eq(i)||e.eq(r)?r:r.isZero()||e.eq(i)?e:!e.isFinite()||!r.isFinite()?!e.isFinite()&&!e.isNegative()&&r.isNegative()||e.isNegative()&&!r.isNegative()&&!r.isFinite()?i:e.isNegative()&&r.isNegative()?e.isFinite()?e:r:e.isFinite()?r:e:xb(e,r,function(t,c){return t|c})}function xb(e,r,n){var i=e.constructor,t,c,m=+(e.s<0),l=+(r.s<0);if(m){t=dg(cd(e));for(var u=0;u<t.length;++u)t[u]^=1}else t=dg(e);if(l){c=dg(cd(r));for(var f=0;f<c.length;++f)c[f]^=1}else c=dg(r);var o,s,h;t.length<=c.length?(o=t,s=c,h=m):(o=c,s=t,h=l);var g=o.length,y=s.length,v=n(m,l)^1,A=new i(v^1),b=new i(1),D=new i(2),w=i.precision;for(i.config({precision:1e9});g>0;)n(o[--g],s[--y])===v&&(A=A.plus(b)),b=b.times(D);for(;y>0;)n(h,s[--y])===v&&(A=A.plus(b)),b=b.times(D);return i.config({precision:w}),v===0&&(A.s=-A.s),A}function dg(e){for(var r=e.d,n=r[0]+"",i=1;i<r.length;++i){for(var t=r[i]+"",c=7-t.length;c--;)t="0"+t;n+=t}for(var m=n.length;n.charAt(m)==="0";)m--;var l=e.e,u=n.slice(0,m+1||1),f=u.length;if(l>0)if(++l>f)for(l-=f;l--;)u+="0";else l<f&&(u=u.slice(0,l)+"."+u.slice(l));for(var o=[0],s=0;s<u.length;){for(var h=o.length;h--;)o[h]*=10;o[0]+=parseInt(u.charAt(s++));for(var g=0;g<o.length;++g)o[g]>1&&((o[g+1]===null||o[g+1]===void 0)&&(o[g+1]=0),o[g+1]+=o[g]>>1,o[g]&=1)}return o.reverse()}function 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w=t(0),M=[],j=A;if(D.gt(w))for(;m(j,b);)M.push(j),j=j.plus(D);else if(D.lt(w))for(;u(j,b);)M.push(j),j=j.plus(D);return M}function v(A){var b=A.split(":"),D=b.map(function(M){return Number(M)}),w=D.some(function(M){return isNaN(M)});if(w)return null;switch(D.length){case 2:return{start:D[0],end:D[1],step:1};case 3:return{start:D[0],end:D[2],step:D[1]};default:return null}}});var IC="reshape",HW=["typed","isInteger","matrix"],qc=_(IC,HW,e=>{var{typed:r,isInteger:n}=e;return r(IC,{"Matrix, Array":function(t,c){return t.reshape(c)},"Array, Array":function(t,c){return c.forEach(function(m){if(!n(m))throw new TypeError("Invalid size for dimension: "+m)}),Qv(t,c)}})});function wi(e,r,n,i){if(!(this instanceof wi))throw new SyntaxError("Constructor must be called with the new operator");this.fn=e,this.count=r,this.min=n,this.max=i,this.message="Wrong number of arguments in function "+e+" ("+r+" provided, "+n+(i!=null?"-"+i:"")+" expected)",this.stack=new Error().stack}wi.prototype=new 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t.substring(0,l);if(t.length<l){for(var u=t,f=0,o=l-t.length;f<o;f++)u+=m;return u}else return t}});var RC="rotate",$W=["typed","multiply","rotationMatrix"],Pc=_(RC,$W,e=>{var{typed:r,multiply:n,rotationMatrix:i}=e;return r(RC,{"Array , number | BigNumber | Complex | Unit":function(m,l){t(m,2);var u=n(i(l),m);return u.toArray()},"Matrix , number | BigNumber | Complex | Unit":function(m,l){return t(m,2),n(i(l),m)},"Array, number | BigNumber | Complex | Unit, Array | Matrix":function(m,l,u){t(m,3);var f=n(i(l,u),m);return f},"Matrix, number | BigNumber | Complex | Unit, Array | Matrix":function(m,l,u){return t(m,3),n(i(l,u),m)}});function t(c,m){var l=Array.isArray(c)?Nr(c):c.size();if(l.length>2)throw new RangeError("Vector must be of dimensions 1x".concat(m));if(l.length===2&&l[1]!==1)throw new RangeError("Vector must be of dimensions 1x".concat(m));if(l[0]!==m)throw new RangeError("Vector must be of dimensions 1x".concat(m))}});var qC="rotationMatrix",ZW=["typed","config","multiplyScalar","addScalar","unaryMinus","norm","matrix","BigNumber","DenseMatrix","SparseMatrix","cos","sin"],Uc=_(qC,ZW,e=>{var{typed:r,config:n,multiplyScalar:i,addScalar:t,unaryMinus:c,norm:m,BigNumber:l,matrix:u,DenseMatrix:f,SparseMatrix:o,cos:s,sin:h}=e;return r(qC,{"":function(){return n.matrix==="Matrix"?u([]):[]},string:function(w){return u(w)},"number | BigNumber | Complex | Unit":function(w){return g(w,n.matrix==="Matrix"?"dense":void 0)},"number | BigNumber | Complex | Unit, string":function(w,M){return g(w,M)},"number | BigNumber | Complex | Unit, Array":function(w,M){var j=u(M);return y(j),b(w,j,void 0)},"number | BigNumber | Complex | Unit, Matrix":function(w,M){y(M);var j=M.storage()||(n.matrix==="Matrix"?"dense":void 0);return b(w,M,j)},"number | BigNumber | Complex | Unit, Array, string":function(w,M,j){var N=u(M);return y(N),b(w,N,j)},"number | BigNumber | Complex | Unit, Matrix, string":function(w,M,j){return 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FC="row",VW=["typed","Index","matrix","range"],Ya=_(FC,VW,e=>{var{typed:r,Index:n,matrix:i,range:t}=e;return r(FC,{"Matrix, number":c,"Array, number":function(l,u){return c(i(er(l)),u).valueOf()}});function c(m,l){if(m.size().length!==2)throw new Error("Only two dimensional matrix is supported");it(l,m.size()[0]);var u=t(0,m.size()[1]),f=new n(l,u);return m.subset(f)}});var PC="size",XW=["typed","config","?matrix"],zc=_(PC,XW,e=>{var{typed:r,config:n,matrix:i}=e;return r(PC,{Matrix:function(c){return c.create(c.size())},Array:Nr,string:function(c){return n.matrix==="Array"?[c.length]:i([c.length])},"number | Complex | BigNumber | Unit | boolean | null":function(c){return n.matrix==="Array"?[]:i?i([]):vg()}})});var UC="squeeze",QW=["typed","matrix"],Lc=_(UC,QW,e=>{var{typed:r,matrix:n}=e;return r(UC,{Array:function(t){return ed(er(t))},Matrix:function(t){var c=ed(t.toArray());return Array.isArray(c)?n(c):c},any:function(t){return er(t)}})});var zC="subset",YW=["typed","matrix"],Ja=_(zC,YW,e=>{var{typed:r,matrix:n}=e;return r(zC,{"Array, Index":function(t,c){var m=n(t),l=m.subset(c);return c.isScalar()?l:l.valueOf()},"Matrix, Index":function(t,c){return t.subset(c)},"Object, Index":KW,"string, Index":JW,"Array, Index, any":function(t,c,m){return n(er(t)).subset(c,m,void 0).valueOf()},"Array, Index, any, any":function(t,c,m,l){return n(er(t)).subset(c,m,l).valueOf()},"Matrix, Index, any":function(t,c,m){return t.clone().subset(c,m)},"Matrix, Index, any, any":function(t,c,m,l){return t.clone().subset(c,m,l)},"string, Index, string":LC,"string, Index, string, string":LC,"Object, Index, any":e$})});function JW(e,r){if(!xi(r))throw new TypeError("Index expected");if(r.size().length!==1)throw new pr(r.size().length,1);var n=e.length;it(r.min()[0],n),it(r.max()[0],n);var i=r.dimension(0),t="";return i.forEach(function(c){t+=e.charAt(c)}),t}function LC(e,r,n,i){if(!r||r.isIndex!==!0)throw new TypeError("Index 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r("transpose",{Array:function(m){return this(n(m)).valueOf()},Matrix:function(m){var l=m.size(),u;switch(l.length){case 1:u=m.clone();break;case 2:{var f=l[0],o=l[1];if(o===0)throw new RangeError("Cannot transpose a 2D matrix with no columns (size: "+lr(l)+")");switch(m.storage()){case"dense":u=i(m,f,o);break;case"sparse":u=t(m,f,o);break}}break;default:throw new RangeError("Matrix must be a vector or two dimensional (size: "+lr(this._size)+")")}return u},any:function(m){return er(m)}});function i(c,m,l){for(var u=c._data,f=[],o,s=0;s<l;s++){o=f[s]=[];for(var h=0;h<m;h++)o[h]=er(u[h][s])}return c.createDenseMatrix({data:f,size:[l,m],datatype:c._datatype})}function t(c,m,l){for(var u=c._values,f=c._index,o=c._ptr,s=u?[]:void 0,h=[],g=[],y=[],v=0;v<m;v++)y[v]=0;var A,b,D;for(A=0,b=f.length;A<b;A++)y[f[A]]++;for(var w=0,M=0;M<m;M++)g.push(w),w+=y[M],y[M]=g[M];for(g.push(w),D=0;D<l;D++)for(var j=o[D],N=o[D+1],I=j;I<N;I++){var E=y[f[I]]++;h[E]=D,u&&(s[E]=er(u[I]))}return c.createSparseMatrix({values:s,index:h,ptr:g,size:[l,m],datatype:c._datatype})}});var kC="ctranspose",n$=["typed","transpose","conj"],Hc=_(kC,n$,e=>{var{typed:r,transpose:n,conj:i}=e;return r(kC,{any:function(c){return i(n(c))}})});var HC="zeros",i$=["typed","config","matrix","BigNumber"],Gc=_(HC,i$,e=>{var{typed:r,config:n,matrix:i,BigNumber:t}=e;return r(HC,{"":function(){return n.matrix==="Array"?c([]):c([],"default")},"...number | BigNumber | string":function(f){var o=f[f.length-1];if(typeof o=="string"){var s=f.pop();return c(f,s)}else return n.matrix==="Array"?c(f):c(f,"default")},Array:c,Matrix:function(f){var o=f.storage();return c(f.valueOf(),o)},"Array | Matrix, string":function(f,o){return c(f.valueOf(),o)}});function c(u,f){var o=m(u),s=o?new t(0):0;if(l(u),f){var h=i(f);return u.length>0?h.resize(u,s):h}else{var g=[];return u.length>0?na(g,u,s):g}}function m(u){var f=!1;return u.forEach(function(o,s,h){ir(o)&&(f=!0,h[s]=o.toNumber())}),f}function 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Math.exp(-m*m)*Math.exp(-s)*o}}),s$=.46875,c$=.5641895835477563,Ka=[[3.1611237438705655,113.86415415105016,377.485237685302,3209.3775891384694,.18577770618460315],[.5641884969886701,8.883149794388377,66.11919063714163,298.6351381974001,881.952221241769,1712.0476126340707,2051.0783778260716,1230.3393547979972,21531153547440383e-24],[.30532663496123236,.36034489994980445,.12578172611122926,.016083785148742275,.0006587491615298378,.016315387137302097]],pd=[[23.601290952344122,244.02463793444417,1282.6165260773723,2844.236833439171],[15.744926110709835,117.6939508913125,537.1811018620099,1621.3895745666903,3290.7992357334597,4362.619090143247,3439.3676741437216,1230.3393548037495],[2.568520192289822,1.8729528499234604,.5279051029514285,.06051834131244132,.0023352049762686918]],u$=Math.pow(2,53);var GC="mode",p$=["typed","isNaN","isNumeric"],$c=_(GC,p$,e=>{var{typed:r,isNaN:n,isNumeric:i}=e;return r(GC,{"Array | Matrix":t,"...":function(m){return t(m)}});function t(c){c=yr(c.valueOf());var 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l=this._values[c],u=this._values[m];if(!l&&u)l=this._heap.insert(c,u.value),this._heap.remove(u),this._values[c]=l,this._values[m]=void 0;else if(l&&!u)u=this._heap.insert(m,l.value),this._heap.remove(l),this._values[m]=u,this._values[c]=void 0;else if(l&&u){var f=l.value;l.value=u.value,u.value=f}},t},{isClass:!0});var BT=Sc(function(e){return new e(1).exp()},{hasher:yg}),IT=Sc(function(e){return new e(1).plus(new e(5).sqrt()).div(2)},{hasher:yg}),Dh=Sc(function(e){return e.acos(-1)},{hasher:yg}),RT=Sc(function(e){return Dh(e).times(2)},{hasher:yg});function yg(e){return e[0].precision}function qT(e,r){var n=Object.keys(e);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);r&&(i=i.filter(function(t){return Object.getOwnPropertyDescriptor(e,t).enumerable})),n.push.apply(n,i)}return n}function wb(e){for(var r=1;r<arguments.length;r++){var 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ht=0;ht<te.length;ht++)V.dimensions[ht]+=(ar.unit.dimensions[ht]||0)*kr;for(I();N===")";){if(qe.length===0)throw new SyntaxError('Unmatched ")" in "'+M+'" at index '+j.toString());We/=qe.pop(),S(),I()}if(fe=!1,Q("*")?(J=1,fe=!0):Q("/")?(J=-1,fe=!0):J=1,ar.unit.base){var on=ar.unit.base.key;ae.auto[on]={unit:ar.unit,prefix:ar.prefix}}}if(I(),N)throw new SyntaxError('Could not parse: "'+K+'"');if(fe)throw new SyntaxError('Trailing characters: "'+K+'"');if(qe.length!==0)throw new SyntaxError('Unmatched "(" in "'+M+'"');if(V.units.length===0&&!oe.allowNoUnits)throw new SyntaxError('"'+K+'" contains no units');return V.value=Ee!==void 0?V._normalize(Ee):null,V},w.prototype.clone=function(){var K=new w;K.fixPrefix=this.fixPrefix,K.skipAutomaticSimplification=this.skipAutomaticSimplification,K.value=er(this.value),K.dimensions=this.dimensions.slice(0),K.units=[];for(var oe=0;oe<this.units.length;oe++){K.units[oe]={};for(var V in 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We=0;We<this.units.length;We++)V=Ee(this.units[We].unit.value),ce=Ee(this.units[We].prefix.value),fe=Ee(this.units[We].power),qe=m(qe,l(c(V,ce),fe));return qe}else return Ee=w._getNumberConverter(Or(K)),V=Ee(this.units[0].unit.value),ce=Ee(this.units[0].prefix.value),J=Ee(this.units[0].unit.offset),oe==null?t(m(m(K,V),ce),J):t(m(m(K,V),oe),J)};var re=Sc(K=>{if(Je(ee,K)){var oe=ee[K],V=oe.prefixes[""];return{unit:oe,prefix:V}}for(var J in ee)if(Je(ee,J)&&Q2(K,J)){var fe=ee[J],ce=K.length-J.length,Ee=K.substring(0,ce),qe=Je(fe.prefixes,Ee)?fe.prefixes[Ee]:void 0;if(qe!==void 0)return{unit:fe,prefix:qe}}return null},{hasher:K=>K[0],limit:100});w.isValuelessUnit=function(K){return re(K)!==null},w.prototype.hasBase=function(K){if(typeof K=="string"&&(K=q[K]),!K)return!1;for(var oe=0;oe<te.length;oe++)if(Math.abs((this.dimensions[oe]||0)-(K.dimensions[oe]||0))>1e-12)return!1;return!0},w.prototype.equalBase=function(K){for(var oe=0;oe<te.length;oe++)if(Math.abs((this.dimensions[oe]||0)-(K.dimensions[oe]||0))>1e-12)return!1;return!0},w.prototype.equals=function(K){return this.equalBase(K)&&s(this.value,K.value)},w.prototype.multiply=function(K){for(var oe=this.clone(),V=0;V<te.length;V++)oe.dimensions[V]=(this.dimensions[V]||0)+(K.dimensions[V]||0);for(var J=0;J<K.units.length;J++){var fe=wb({},K.units[J]);oe.units.push(fe)}if(this.value!==null||K.value!==null){var ce=this.value===null?this._normalize(1):this.value,Ee=K.value===null?K._normalize(1):K.value;oe.value=c(ce,Ee)}else oe.value=null;return oe.skipAutomaticSimplification=!1,Y(oe)},w.prototype.divide=function(K){for(var oe=this.clone(),V=0;V<te.length;V++)oe.dimensions[V]=(this.dimensions[V]||0)-(K.dimensions[V]||0);for(var J=0;J<K.units.length;J++){var fe=wb(wb({},K.units[J]),{},{power:-K.units[J].power});oe.units.push(fe)}if(this.value!==null||K.value!==null){var ce=this.value===null?this._normalize(1):this.value,Ee=K.value===null?K._normalize(1):K.value;oe.value=m(ce,Ee)}else oe.value=null;return oe.skipAutomaticSimplification=!1,Y(oe)},w.prototype.pow=function(K){for(var oe=this.clone(),V=0;V<te.length;V++)oe.dimensions[V]=(this.dimensions[V]||0)*K;for(var J=0;J<oe.units.length;J++)oe.units[J].power*=K;return oe.value!==null?oe.value=l(oe.value,K):oe.value=null,oe.skipAutomaticSimplification=!1,Y(oe)};function Y(K){return K.equalBase(q.NONE)&&K.value!==null&&!n.predictable?K.value:K}w.prototype.abs=function(){var K=this.clone();K.value=K.value!==null?u(K.value):null;for(var oe in K.units)(K.units[oe].unit.name==="VA"||K.units[oe].unit.name==="VAR")&&(K.units[oe].unit=ee.W);return K},w.prototype.to=function(K){var oe,V=this.value===null?this._normalize(1):this.value;if(typeof K=="string"){if(oe=w.parse(K),!this.equalBase(oe))throw new Error("Units do not match ('".concat(oe.toString(),"' != 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this.format()},w.prototype.toJSON=function(){return{mathjs:"Unit",value:this._denormalize(this.value),unit:this.formatUnits(),fixPrefix:this.fixPrefix}},w.fromJSON=function(K){var oe=new w(K.value,K.unit);return oe.fixPrefix=K.fixPrefix||!1,oe},w.prototype.valueOf=w.prototype.toString,w.prototype.simplify=function(){var K=this.clone(),oe=[],V;for(var J in ge)if(Je(ge,J)&&K.hasBase(q[J])){V=J;break}if(V==="NONE")K.units=[];else{var fe;if(V&&Je(ge,V)&&(fe=ge[V]),fe)K.units=[{unit:fe.unit,prefix:fe.prefix,power:1}];else{for(var ce=!1,Ee=0;Ee<te.length;Ee++){var qe=te[Ee];Math.abs(K.dimensions[Ee]||0)>1e-12&&(Je(ge,qe)?oe.push({unit:ge[qe].unit,prefix:ge[qe].prefix,power:K.dimensions[Ee]||0}):ce=!0)}oe.length<K.units.length&&!ce&&(K.units=oe)}}return K},w.prototype.toSI=function(){for(var K=this.clone(),oe=[],V=0;V<te.length;V++){var J=te[V];if(Math.abs(K.dimensions[V]||0)>1e-12)if(Je(ae.si,J))oe.push({unit:ae.si[J].unit,prefix:ae.si[J].prefix,power:K.dimensions[V]||0});else throw new Error("Cannot express custom unit "+J+" in SI units")}return K.units=oe,K.fixPrefix=!0,K.skipAutomaticSimplification=!0,K},w.prototype.formatUnits=function(){for(var K="",oe="",V=0,J=0,fe=0;fe<this.units.length;fe++)this.units[fe].power>0?(V++,K+=" "+this.units[fe].prefix.name+this.units[fe].unit.name,Math.abs(this.units[fe].power-1)>1e-15&&(K+="^"+this.units[fe].power)):this.units[fe].power<0&&J++;if(J>0)for(var ce=0;ce<this.units.length;ce++)this.units[ce].power<0&&(V>0?(oe+=" "+this.units[ce].prefix.name+this.units[ce].unit.name,Math.abs(this.units[ce].power+1)>1e-15&&(oe+="^"+-this.units[ce].power)):(oe+=" "+this.units[ce].prefix.name+this.units[ce].unit.name,oe+="^"+this.units[ce].power));K=K.substr(1),oe=oe.substr(1),V>1&&J>0&&(K="("+K+")"),J>1&&V>0&&(oe="("+oe+")");var Ee=K;return V>0&&J>0&&(Ee+=" / "),Ee+=oe,Ee},w.prototype.format=function(K){var oe=this.skipAutomaticSimplification||this.value===null?this.clone():this.simplify(),V=!1;typeof 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f=ld(this,c),o=l[0].toHTML(t);return u[0]&&(o='<span class="math-parenthesis math-round-parenthesis">(</span>'+o+'<span class="math-parenthesis math-round-parenthesis">)</span>'),f==="right"?'<span class="math-operator math-unary-operator math-lefthand-unary-operator">'+nn(this.op)+"</span>"+o:o+'<span class="math-operator math-unary-operator math-righthand-unary-operator">'+nn(this.op)+"</span>"}else if(l.length===2){var s=l[0].toHTML(t),h=l[1].toHTML(t);return u[0]&&(s='<span class="math-parenthesis math-round-parenthesis">(</span>'+s+'<span class="math-parenthesis math-round-parenthesis">)</span>'),u[1]&&(h='<span class="math-parenthesis math-round-parenthesis">(</span>'+h+'<span class="math-parenthesis math-round-parenthesis">)</span>'),this.implicit&&this.getIdentifier()==="OperatorNode:multiply"&&m==="hide"?s+'<span class="math-operator math-binary-operator math-implicit-binary-operator"></span>'+h:s+'<span class="math-operator math-binary-operator 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c=t&&t.parenthesis?t.parenthesis:"keep",m=t&&t.implicit?t.implicit:"hide",l=this.args,u=i(this,c,m,l,!0),f=$r[this.fn];if(f=typeof f=="undefined"?this.op:f,l.length===1){var o=ld(this,c),s=l[0].toTex(t);return u[0]&&(s="\\left(".concat(s,"\\right)")),o==="right"?f+s:s+f}else if(l.length===2){var h=l[0],g=h.toTex(t);u[0]&&(g="\\left(".concat(g,"\\right)"));var y=l[1],v=y.toTex(t);u[1]&&(v="\\left(".concat(v,"\\right)"));var A;switch(c==="keep"?A=h.getIdentifier():A=h.getContent().getIdentifier(),this.getIdentifier()){case"OperatorNode:divide":return f+"{"+g+"}{"+v+"}";case"OperatorNode:pow":switch(g="{"+g+"}",v="{"+v+"}",A){case"ConditionalNode":case"OperatorNode:divide":g="\\left(".concat(g,"\\right)")}break;case"OperatorNode:multiply":if(this.implicit&&m==="hide")return g+"~"+v}return g+f+v}else if(l.length>2&&(this.getIdentifier()==="OperatorNode:add"||this.getIdentifier()==="OperatorNode:multiply")){var b=l.map(function(D,w){return 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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 eB={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 rB={name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. 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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 sB={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 cB={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 uB={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 pB={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 fB={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 mB={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 lB={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 dB={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 hB={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 vB={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 gB={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 yB={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 xB={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 bB={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 wB={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 NB={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 AB={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 DB={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 MB={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 jB={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",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]"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]};var SB={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 EB={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"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]};var CB={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 TB={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:["diff([1, 2, 4, 7, 0])","diff([1, 2, 4, 7, 0], 0)","diff(matrix([1, 2, 4, 7, 0]))","diff([[1, 2], [3, 4]])","diff([[1, 2], [3, 4]], 0)","diff([[1, 2], [3, 4]], 1)","diff([[1, 2], [3, 4]], bignumber(1))","diff(matrix([[1, 2], [3, 4]]), 1)","diff([[1, 2], matrix([3, 4])], 1)"],seealso:["subtract","partitionSelect"]};var OB={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])"],seealso:["size","squeeze","resize"]};var _B={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 BB={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")',"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 IB={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)'],seealso:["sort"]};var RB={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 qB={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 FB={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 PB={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 UB={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]};var zB={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 LB={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 kB={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 HB={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 GB={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 WB={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 $B={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 ZB={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 VB={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 XB={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 QB={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 YB={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 JB={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 KB={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 e3={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 r3={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 t3={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 n3={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 i3={name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(" + 4 + ")")'],seealso:[]};var a3={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 o3={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 s3={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 c3={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 u3={name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number, number": f(x)=x+x })',"double(2)",'double("hello")'],seealso:[]};var p3={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 f3={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 m3={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 l3={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 d3={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 h3={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 v3={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 g3={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 y3={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 x3={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 b3={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 w3={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 N3={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 A3={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 D3={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]};var M3={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 j3={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 S3={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([[1, 2], [3, 4]])"],seealso:["sqrt","abs","square","multiply"]};var E3={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 C3={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 T3={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],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)"],seealso:["ceil","floor","fix"]};var O3={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)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]};var _3={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 B3={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 I3={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 R3={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 q3={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 F3={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 P3={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 U3={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 z3={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 L3={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 k3={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 H3={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 G3={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 W3={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 $3={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 Z3={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 V3={name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and eigenvectors of a real symmetric matrix",examples:["eigs([[5, 2.3], [2.3, 1]])"],seealso:["inv"]};var X3={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 Q3={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 Y3={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 J3={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 K3={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 e5={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 r5={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 t5={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 n5={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]};var i5={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 a5={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 o5={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 s5={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 c5={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 u5={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:["derivative","parse","evaluate"]};var p5={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 f5={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 m5={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 l5={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 d5={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]};var h5={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]};var v5={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 g5={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]};var y5={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 x5={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 Sb={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 b5={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]};var w5={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]};var N5={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 A5={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 D5={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]};var M5={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]};var j5={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 S5={name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as i*i=-1. 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 E5={name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]};var Eb={name:"e",category:"Constants",syntax:["e"],description:"Euler's number, the base of the natural logarithm. Approximately equal to 2.71828",examples:["e","e ^ 2","exp(2)","log(e)"],seealso:["exp"]};var C5={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 T5={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 O5={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 _5={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 B5={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 I5={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 R5={name:"matrixFromFunction",category:"Matrix",syntax:["math.matrixFromFunction(size, fn)","math.matrixFromFunction(size, fn, format)","math.matrixFromFunction(size, fn, format, datatype)","math.matrixFromFunction(size, format, fn)","math.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 q5={name:"matrixFromRows",category:"Matrix",syntax:["math.matrixFromRows(...arr)","math.matrixFromRows(row1, row2)","math.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 F5={name:"matrixFromColumns",category:"Matrix",syntax:["math.matrixFromColumns(...arr)","math.matrixFromColumns(row1, row2)","math.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 P5={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:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]};var U5={name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(num,den)"],description:"Create a fraction from a number or from a numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]};var z5={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 L5={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 k5={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 H5={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 G5={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 W5={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 $5={name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, 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 Z5={name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]};var V5={name:"numeric",category:"Utils",syntax:["numeric(x)"],description:"Convert a numeric input to a specific numeric type: number, BigNumber, or Fraction.",examples:['numeric("4")','numeric("4", "number")','numeric("4", "BigNumber")','numeric("4", "Fraction)','numeric(4, "Fraction")','numeric(fraction(2, 5), "number)'],seealso:["number","fraction","bignumber","string","format"]};var X5={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 Q5={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 Y5={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). 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xX="divide",bX=["typed","matrix","multiply","equalScalar","divideScalar","inv"],cf=_(xX,bX,e=>{var{typed:r,matrix:n,multiply:i,equalScalar:t,divideScalar:c,inv:m}=e,l=Jr({typed:r,equalScalar:t}),u=sr({typed:r});return r("divide",Yl({"Array | Matrix, Array | Matrix":function(o,s){return i(o,m(s))},"DenseMatrix, any":function(o,s){return u(o,s,c,!1)},"SparseMatrix, any":function(o,s){return l(o,s,c,!1)},"Array, any":function(o,s){return u(n(o),s,c,!1).valueOf()},"any, Array | Matrix":function(o,s){return i(o,m(s))}},c.signatures))});var sI="distance",wX=["typed","addScalar","subtract","divideScalar","multiplyScalar","unaryMinus","sqrt","abs"],uf=_(sI,wX,e=>{var{typed:r,addScalar:n,subtract:i,multiplyScalar:t,divideScalar:c,unaryMinus:m,sqrt:l,abs:u}=e;return r(sI,{"Array, Array, Array":function(j,N,I){if(j.length===2&&N.length===2&&I.length===2){if(!o(j))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!o(N))throw new TypeError("Array with 2 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G=[i(t(i(E,j),T),t(i(C,N),F)),i(t(i(C,N),S),t(i(I,M),T)),i(t(i(I,M),F),t(i(E,j),S))];G=l(n(n(t(G[0],G[0]),t(G[1],G[1])),t(G[2],G[2])));var Q=l(n(n(t(S,S),t(F,F)),t(T,T)));return c(G,Q)}function D(M,j){for(var N=M.length,I=0,E=0,C=0;C<N;C++)E=i(M[C],j[C]),I=n(t(E,E),I);return l(I)}function w(M){for(var j=[],N=[],I=[],E=0;E<M.length-1;E++)for(var C=E+1;C<M.length;C++)M[0].length===2?(N=[M[E][0],M[E][1]],I=[M[C][0],M[C][1]]):M[0].length===3&&(N=[M[E][0],M[E][1],M[E][2]],I=[M[C][0],M[C][1],M[C][2]]),j.push(D(N,I));return j}});var NX="intersect",AX=["typed","config","abs","add","addScalar","matrix","multiply","multiplyScalar","divideScalar","subtract","smaller","equalScalar","flatten"],pf=_(NX,AX,e=>{var{typed:r,config:n,abs:i,add:t,addScalar:c,matrix:m,multiply:l,multiplyScalar:u,divideScalar:f,subtract:o,smaller:s,equalScalar:h,flatten:g}=e;return r("intersect",{"Array, Array, Array":y,"Array, Array, Array, Array":v,"Matrix, Matrix, Matrix":function(S,F,T){var G=y(S.valueOf(),F.valueOf(),T.valueOf());return G===null?null:m(G)},"Matrix, Matrix, Matrix, Matrix":function(S,F,T,G){var Q=v(S.valueOf(),F.valueOf(),T.valueOf(),G.valueOf());return Q===null?null:m(Q)}});function y(C,S,F){if(C=A(C),S=A(S),F=A(F),!w(C))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!w(S))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!M(F))throw new TypeError("Array with 4 numbers expected as third argument");return E(C[0],C[1],C[2],S[0],S[1],S[2],F[0],F[1],F[2],F[3])}function v(C,S,F,T){if(C=A(C),S=A(S),F=A(F),T=A(T),C.length===2){if(!D(C))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!D(S))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!D(F))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");if(!D(T))throw new TypeError("Array with 2 numbers or BigNumbers expected 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G=C,Q=F,re=o(G,S),Y=o(Q,T),L=o(u(re[0],Y[1]),u(Y[0],re[1]));if(s(i(L),n.epsilon))return null;var te=u(Y[0],G[1]),q=u(Y[1],G[0]),ie=u(Y[0],Q[1]),ve=u(Y[1],Q[0]),je=f(c(o(o(te,q),ie),ve),L);return t(l(re,je),G)}function N(C,S,F,T,G,Q,re,Y,L,te,q,ie){var ve=u(o(C,S),o(F,T)),je=u(o(G,Q),o(re,Y)),ee=u(o(L,te),o(q,ie));return c(c(ve,je),ee)}function I(C,S,F,T,G,Q,re,Y,L,te,q,ie){var ve=N(C,re,te,re,S,Y,q,Y,F,L,ie,L),je=N(te,re,T,C,q,Y,G,S,ie,L,Q,F),ee=N(C,re,T,C,S,Y,G,S,F,L,Q,F),xe=N(te,re,te,re,q,Y,q,Y,ie,L,ie,L),ne=N(T,C,T,C,G,S,G,S,Q,F,Q,F),ae=f(o(u(ve,je),u(ee,xe)),o(u(ne,xe),u(je,je))),ge=f(c(ve,u(ae,je)),xe),ye=c(C,u(ae,o(T,C))),Se=c(S,u(ae,o(G,S))),De=c(F,u(ae,o(Q,F))),Ve=c(re,u(ge,o(te,re))),Xe=c(Y,u(ge,o(q,Y))),ze=c(L,u(ge,o(ie,L)));return h(ye,Ve)&&h(Se,Xe)&&h(De,ze)?[ye,Se,De]:null}function E(C,S,F,T,G,Q,re,Y,L,te){var q=u(C,re),ie=u(T,re),ve=u(S,Y),je=u(G,Y),ee=u(F,L),xe=u(Q,L),ne=o(o(o(te,q),ve),ee),ae=o(o(o(c(c(ie,je),xe),q),ve),ee),ge=f(ne,ae),ye=c(C,u(ge,o(T,C))),Se=c(S,u(ge,o(G,S))),De=c(F,u(ge,o(Q,F)));return[ye,Se,De]}});var cI="sum",DX=["typed","config","add","numeric"],to=_(cI,DX,e=>{var{typed:r,config:n,add:i,numeric:t}=e;return r(cI,{"Array | Matrix":c,"Array | Matrix, number | BigNumber":m,"...":function(u){if(ha(u))throw new TypeError("Scalar values expected in function sum");return c(u)}});function c(l){var u;return Sn(l,function(f){try{u=u===void 0?f:i(u,f)}catch(o){throw Wt(o,"sum",f)}}),u===void 0&&(u=t(0,n.number)),typeof u=="string"&&(u=t(u,n.number)),u}function m(l,u){try{var f=_o(l,u,i);return f}catch(o){throw Wt(o,"sum")}}});var uI="mean",MX=["typed","add","divide"],no=_(uI,MX,e=>{var{typed:r,add:n,divide:i}=e;return r(uI,{"Array | Matrix":c,"Array | Matrix, number | BigNumber":t,"...":function(l){if(ha(l))throw new TypeError("Scalar values expected in function mean");return 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h=yr(f),g=h.length;if(g===0)throw new Error("Cannot calculate quantile of an empty sequence");if(vr(o)){var y=o*(g-1),v=y%1;if(v===0){var A=s?h[y]:t(h,y);return u(A),A}var b=Math.floor(y),D,w;if(s)D=h[b],w=h[b+1];else{w=t(h,b+1),D=h[b];for(var M=0;M<b;++M)c(h[M],D)>0&&(D=h[M])}return u(D),u(w),n(i(D,1-v),i(w,v))}var j=o.times(g-1);if(j.isInteger()){j=j.toNumber();var N=s?h[j]:t(h,j);return u(N),N}var I=j.floor(),E=j.minus(I),C=I.toNumber(),S,F;if(s)S=h[C],F=h[C+1];else{F=t(h,C+1),S=h[C];for(var T=0;T<C;++T)c(h[T],S)>0&&(S=h[T])}u(S),u(F);var G=new E.constructor(1);return n(i(S,G.minus(E)),i(F,E))}var u=r({"number | BigNumber | Unit":function(o){return o}});return m});var lI="std",OX=["typed","sqrt","variance"],ao=_(lI,OX,e=>{var{typed:r,sqrt:n,variance:i}=e;return r(lI,{"Array | Matrix":t,"Array | Matrix, string":t,"Array | Matrix, number | BigNumber":t,"Array | Matrix, number | BigNumber, string":t,"...":function(m){return t(m)}});function t(c,m){if(c.length===0)throw new 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r(yI,{number:ug,Complex:function(f){if(f.im===0)return this(f.re);f=new m(f.re-1,f.im);for(var o=new m(Wa[0],0),s=1;s<Wa.length;++s){var h=f.re+s,g=h*h+f.im*f.im;g!==0?(o.re+=Wa[s]*h/g,o.im+=-(Wa[s]*f.im)/g):o.re=Wa[s]<0?-1/0:1/0}var y=new m(f.re+J1+.5,f.im),v=Math.sqrt(2*Math.PI);f.re+=.5;var A=t(y,f);A.im===0?A.re*=v:(A.re===0||(A.re*=v),A.im*=v);var b=Math.exp(-y.re);return y.re=b*Math.cos(-y.im),y.im=b*Math.sin(-y.im),i(i(A,y),o)},BigNumber:function(f){if(f.isInteger())return f.isNegative()||f.isZero()?new c(1/0):l(f.minus(1));if(!f.isFinite())return new c(f.isNegative()?NaN:1/0);throw new Error("Integer BigNumber expected")},"Array | Matrix":function(f){return _e(f,this)}});function l(u){if(u<8)return new c([1,1,2,6,24,120,720,5040][u]);var f=n.precision+(Math.log(u.toNumber())|0),o=c.clone({precision:f});if(u%2==1)return u.times(l(new c(u-1)));for(var s=u,h=new o(u),g=u.toNumber();s>2;)s-=2,g+=s,h=h.times(g);return new c(h.toPrecision(c.precision))}});var xI="factorial",RX=["typed","gamma"],gf=_(xI,RX,e=>{var{typed:r,gamma:n}=e;return r(xI,{number:function(t){if(t<0)throw new Error("Value must be non-negative");return n(t+1)},BigNumber:function(t){if(t.isNegative())throw new Error("Value must be non-negative");return n(t.plus(1))},"Array | Matrix":function(t){return _e(t,this)}})});var bI="kldivergence",qX=["typed","matrix","divide","sum","multiply","dotDivide","log","isNumeric"],yf=_(bI,qX,e=>{var{typed:r,matrix:n,divide:i,sum:t,multiply:c,dotDivide:m,log:l,isNumeric:u}=e;return r(bI,{"Array, Array":function(s,h){return f(n(s),n(h))},"Matrix, Array":function(s,h){return f(s,n(h))},"Array, Matrix":function(s,h){return f(n(s),h)},"Matrix, Matrix":function(s,h){return f(s,h)}});function f(o,s){var h=s.size().length,g=o.size().length;if(h>1)throw new Error("first object must be one dimensional");if(g>1)throw new Error("second object must be one dimensional");if(h!==g)throw new Error("Length of two vectors must be equal");var 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o("^","pow",[new f("sech",[N.clone()]),D(2)]);break;case"sech":C=!0,S=new o("*","multiply",[M,new f("tanh",[N.clone()])]);break;case"csch":C=!0,S=new o("*","multiply",[M,new f("coth",[N.clone()])]);break;case"coth":C=!0,S=new o("^","pow",[new f("csch",[N.clone()]),D(2)]);break;case"asinh":E=!0,S=new f("sqrt",[new o("+","add",[new o("^","pow",[N.clone(),D(2)]),D(1)])]);break;case"acosh":E=!0,S=new f("sqrt",[new o("-","subtract",[new o("^","pow",[N.clone(),D(2)]),D(1)])]);break;case"atanh":E=!0,S=new o("-","subtract",[D(1),new o("^","pow",[N.clone(),D(2)])]);break;case"asech":E=!0,C=!0,S=new o("*","multiply",[N.clone(),new f("sqrt",[new o("-","subtract",[D(1),new o("^","pow",[N.clone(),D(2)])])])]);break;case"acsch":E=!0,C=!0,S=new o("*","multiply",[new f("abs",[N.clone()]),new f("sqrt",[new o("+","add",[new o("^","pow",[N.clone(),D(2)]),D(1)])])]);break;case"acoth":E=!0,C=!0,S=new o("-","subtract",[D(1),new o("^","pow",[N.clone(),D(2)])]);break;case"abs":S=new o("/","divide",[new f(new h("abs"),[N.clone()]),N.clone()]);break;case"gamma":default:throw new Error('Function "'+M.name+'" is not supported by derivative, or a wrong number of arguments is passed')}var F,T;E?(F="/",T="divide"):(F="*",T="multiply");var G=A(N,j);return C&&(G=new o("-","unaryMinus",[G])),new o(F,T,[G,S])},"OperatorNode, Object":function(M,j){if(j[M]!==void 0)return D(0);if(M.op==="+")return new o(M.op,M.fn,M.args.map(function(re){return A(re,j)}));if(M.op==="-"){if(M.isUnary())return new o(M.op,M.fn,[A(M.args[0],j)]);if(M.isBinary())return new o(M.op,M.fn,[A(M.args[0],j),A(M.args[1],j)])}if(M.op==="*"){var N=M.args.filter(function(re){return j[re]!==void 0});if(N.length>0){var I=M.args.filter(function(re){return j[re]===void 0}),E=I.length===1?I[0]:new o("*","multiply",I),C=N.concat(A(E,j));return new o("*","multiply",C)}return new o("+","add",M.args.map(function(re){return new o("*","multiply",M.args.map(function(Y){return Y===re?A(Y,j):Y.clone()}))}))}if(M.op==="/"&&M.isBinary()){var S=M.args[0],F=M.args[1];return j[F]!==void 0?new o("/","divide",[A(S,j),F]):j[S]!==void 0?new o("*","multiply",[new o("-","unaryMinus",[S]),new o("/","divide",[A(F,j),new o("^","pow",[F.clone(),D(2)])])]):new o("/","divide",[new o("-","subtract",[new o("*","multiply",[A(S,j),F.clone()]),new o("*","multiply",[S.clone(),A(F,j)])]),new o("^","pow",[F.clone(),D(2)])])}if(M.op==="^"&&M.isBinary()){var T=M.args[0],G=M.args[1];if(j[T]!==void 0)return Wr(T)&&(m(T.value)||c(T.value,1))?D(0):new o("*","multiply",[M,new o("*","multiply",[new f("log",[T.clone()]),A(G.clone(),j)])]);if(j[G]!==void 0){if(Wr(G)){if(m(G.value))return D(0);if(c(G.value,1))return A(T,j)}var Q=new o("^","pow",[T.clone(),new o("-","subtract",[G,D(1)])]);return new o("*","multiply",[G.clone(),new o("*","multiply",[A(T,j),Q])])}return new o("*","multiply",[new o("^","pow",[T.clone(),G.clone()]),new o("+","add",[new o("*","multiply",[A(T,j),new o("/","divide",[G.clone(),T.clone()])]),new o("*","multiply",[A(G,j),new f("log",[T.clone()])])])])}throw new Error('Operator "'+M.op+'" is not supported by derivative, or a wrong number of arguments is passed')}});function b(w){if(!((w.name==="log"||w.name==="nthRoot"||w.name==="pow")&&w.args.length===2)){for(var M=0;M<w.args.length;++M)w.args[M]=D(0);throw w.compile().evaluate(),new Error("Expected TypeError, but none found")}}function D(w,M){return new u(l(w,M||n.number))}return g});var 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ie=q.type;if(ie==="FunctionNode")throw new Error("There is an unsolved function call");if(ie==="OperatorNode")if(q.op==="^"){if(q.args[1].type!=="ConstantNode"||!Qe(parseFloat(q.args[1].value)))throw new Error("There is a non-integer exponent");te(q.args[0])}else{if(Y.indexOf(q.op)===-1)throw new Error("Operator "+q.op+" invalid in polynomial expression");for(var ve=0;ve<q.args.length;ve++)te(q.args[ve])}else if(ie==="SymbolNode"){var je=q.name,ee=Q.indexOf(je);ee===-1&&Q.push(je)}else if(ie==="ParenthesisNode")te(q.content);else if(ie!=="ConstantNode")throw new Error("type "+ie+" is not allowed in polynomial expression")}}function I(){var S=[j,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},M,{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"}],F=[{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 + n2*n3)"},{l:"n1*(n2+n3)",r:"(n1*n2+n1*n3)"},{l:"c1*n + 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/**
 * @license
 * Lodash <https://lodash.com/>
 * Copyright JS Foundation and other contributors <https://js.foundation/>
 * Released under MIT license <https://lodash.com/license>
 * Based on Underscore.js 1.8.3 <http://underscorejs.org/LICENSE>
 * Copyright Jeremy Ashkenas, DocumentCloud and Investigative Reporters & Editors
 */
/**
 * @license Complex.js v2.0.15 12/05/2020
 *
 * Copyright (c) 2020, Robert Eisele (robert@xarg.org)
 * Dual licensed under the MIT or GPL Version 2 licenses.
 **/
/**
 * @license Fraction.js v4.1.2 23/05/2021
 * https://www.xarg.org/2014/03/rational-numbers-in-javascript/
 *
 * Copyright (c) 2021, Robert Eisele (robert@xarg.org)
 * Dual licensed under the MIT or GPL Version 2 licenses.
 **/