mirror of
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3 lines
70 KiB
JavaScript
3 lines
70 KiB
JavaScript
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"use strict";var numeric=typeof exports=="undefined"?function(){}:exports;typeof global!="undefined"&&(global.numeric=numeric),numeric.version="1.2.6",numeric.bench=function(t,n){var r,i,s,o;typeof n=="undefined"&&(n=15),s=.5,r=new Date;for(;;){s*=2;for(o=s;o>3;o-=4)t(),t(),t(),t();while(o>0)t(),o--;i=new Date;if(i-r>n)break}for(o=s;o>3;o-=4)t(),t(),t(),t();while(o>0)t(),o--;return i=new Date,1e3*(3*s-1)/(i-r)},numeric._myIndexOf=function(t){var n=this.length,r;for(r=0;r<n;++r)if(this[r]===t)return r;return-1},numeric.myIndexOf=Array.prototype.indexOf?Array.prototype.indexOf:numeric._myIndexOf,numeric.Function=Function,numeric.precision=4,numeric.largeArray=50,numeric.prettyPrint=function(t){function n(e){if(e===0)return"0";if(isNaN(e))return"NaN";if(e<0)return"-"+n(-e);if(isFinite(e)){var t=Math.floor(Math.log(e)/Math.log(10)),r=e/Math.pow(10,t),i=r.toPrecision(numeric.precision);return parseFloat(i)===10&&(t++,r=1,i=r.toPrecision(numeric.precision)),parseFloat(i).toString()+"e"+t.toString()}return"Infinity"}function i(e){var t;if(typeof e=="undefined")return r.push(Array(numeric.precision+8).join(" ")),!1;if(typeof e=="string")return r.push('"'+e+'"'),!1;if(typeof e=="boolean")return r.push(e.toString()),!1;if(typeof e=="number"){var s=n(e),o=e.toPrecision(numeric.precision),u=parseFloat(e.toString()).toString(),a=[s,o,u,parseFloat(o).toString(),parseFloat(u).toString()];for(t=1;t<a.length;t++)a[t].length<s.length&&(s=a[t]);return r.push(Array(numeric.precision+8-s.length).join(" ")+s),!1}if(e===null)return r.push("null"),!1;if(typeof e=="function"){r.push(e.toString());var f=!1;for(t in e)e.hasOwnProperty(t)&&(f?r.push(",\n"):r.push("\n{"),f=!0,r.push(t),r.push(": \n"),i(e[t]));return f&&r.push("}\n"),!0}if(e instanceof Array){if(e.length>numeric.largeArray)return r.push("...Large Array..."),!0;var f=!1;r.push("[");for(t=0;t<e.length;t++)t>0&&(r.push(","),f&&r.push("\n ")),f=i(e[t]);return r.push("]"),!0}r.push("{");var f=!1;for(t in e)e.hasOwnProperty(t)&&(f&&r.push(",\n"),f=!0,r.push(t),r.push(": \n"),i(e[t]));return r.push("}"),!0}var r=[];return i(t),r.join("")},numeric.parseDate=function(t){function n(e){if(typeof e=="string")return Date.parse(e.replace(/-/g,"/"));if(e instanceof Array){var t=[],r;for(r=0;r<e.length;r++)t[r]=n(e[r]);return t}throw new Error("parseDate: parameter must be arrays of strings")}return n(t)},numeric.parseFloat=function(t){function n(e){if(typeof e=="string")return parseFloat(e);if(e instanceof Array){var t=[],r;for(r=0;r<e.length;r++)t[r]=n(e[r]);return t}throw new Error("parseFloat: parameter must be arrays of strings")}return n(t)},numeric.parseCSV=function(t){var n=t.split("\n"),r,i,s=[],o=/(([^'",]*)|('[^']*')|("[^"]*")),/g,u=/^\s*(([+-]?[0-9]+(\.[0-9]*)?(e[+-]?[0-9]+)?)|([+-]?[0-9]*(\.[0-9]+)?(e[+-]?[0-9]+)?))\s*$/,a=function(e){return e.substr(0,e.length-1)},f=0;for(i=0;i<n.length;i++){var l=(n[i]+",").match(o),c;if(l.length>0){s[f]=[];for(r=0;r<l.length;r++)c=a(l[r]),u.test(c)?s[f][r]=parseFloat(c):s[f][r]=c;f++}}return s},numeric.toCSV=function(t){var n=numeric.dim(t),r,i,s,o,u,a;s=n[0],o=n[1],a=[];for(r=0;r<s;r++){u=[];for(i=0;i<s;i++)u[i]=t[r][i].toString();a[r]=u.join(", ")}return a.join("\n")+"\n"},numeric.getURL=function(t){var n=new XMLHttpRequest;return n.open("GET",t,!1),n.send(),n},numeric.imageURL=function(t){function n(e){var t=e.length,n,r,i,s,o,u,a,f,l="ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=",c="";for(n=0;n<t;n+=3)r=e[n],i=e[n+1],s=e[n+2],o=r>>2,u=((r&3)<<4)+(i>>4),a=((i&15)<<2)+(s>>6),f=s&63,n+1>=t?a=f=64:n+2>=t&&(f=64),c+=l.charAt(o)+l.charAt(u)+l.charAt(a)+l.charAt(f);return c}function r(e,t,n){typeof t=="undefined"&&(t=0),typeof n=="undefined"&&(n=e.length);var r=[0,1996959894,3993919788,2567524794,124634137,1886057615,3915621685,2657392035,249268274,2044508324,3772115230,2547177864,162941995,2125561021,3887607047,2428444049,498536548,1789927666,4089016648,2227061214,450548861,1843258603,4107580753,2211677639,325883990,1684777152,4251122042,2321926636,335633487,1661365465,4195302755,2366115317,997073096,1281953886,3579855332,27246882
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T],[T,-x]]),h.setRows(u,v,p.dot(h.getRows(u,v))))}}var O=h.dot(t).dot(h.transjugate()),o=t.length,M=numeric.T.identity(o);for(v=0;v<o;v++)if(v>0)for(a=v-1;a>=0;a--){var _=O.get([a,a]),D=O.get([v,v]);if(!numeric.neq(_.x,D.x)&&!numeric.neq(_.y,D.y)){M.setRow(v,M.getRow(a));continue}x=O.getRow(a).getBlock([a],[v-1]),T=M.getRow(v).getBlock([a],[v-1]),M.set([v,a],O.get([a,v]).neg().sub(x.dot(T)).div(_.sub(D)))}for(v=0;v<o;v++)x=M.getRow(v),M.setRow(v,x.div(x.norm2()));return M=M.transpose(),M=h.transjugate().dot(M),{lambda:O.getDiag(),E:M}},numeric.ccsSparse=function(t){var n=t.length,r,i,s,o,u=[];for(s=n-1;s!==-1;--s){i=t[s];for(o in i){o=parseInt(o);while(o>=u.length)u[u.length]=0;i[o]!==0&&u[o]++}}var r=u.length,a=Array(r+1);a[0]=0;for(s=0;s<r;++s)a[s+1]=a[s]+u[s];var f=Array(a[r]),l=Array(a[r]);for(s=n-1;s!==-1;--s){i=t[s];for(o in i)i[o]!==0&&(u[o]--,f[a[o]+u[o]]=s,l[a[o]+u[o]]=i[o])}return[a,f,l]},numeric.ccsFull=function(t){var n=t[0],r=t[1],i=t[2],s=numeric.ccsDim(t),o=s[0],u=s[1],a,f,l,c,h,p=numeric.rep([o,u],0);for(a=0;a<u;a++){l=n[a],c=n[a+1];for(f=l;f<c;++f)p[r[f]][a]=i[f]}return p},numeric.ccsTSolve=function(t,n,r,i,s){function h(e){var t;if(r[e]!==0)return;r[e]=1;for(t=o[e];t<o[e+1];++t)h(u[t]);s[c]=e,++c}var o=t[0],u=t[1],a=t[2],f=o.length-1,l=Math.max,c=0;typeof i=="undefined"&&(r=numeric.rep([f],0)),typeof i=="undefined"&&(i=numeric.linspace(0,r.length-1)),typeof s=="undefined"&&(s=[]);var p,d,v,m,g,y,b,w,E;for(p=i.length-1;p!==-1;--p)h(i[p]);s.length=c;for(p=s.length-1;p!==-1;--p)r[s[p]]=0;for(p=i.length-1;p!==-1;--p)d=i[p],r[d]=n[d];for(p=s.length-1;p!==-1;--p){d=s[p],v=o[d],m=l(o[d+1],v);for(g=v;g!==m;++g)if(u[g]===d){r[d]/=a[g];break}E=r[d];for(g=v;g!==m;++g)y=u[g],y!==d&&(r[y]-=E*a[g])}return r},numeric.ccsDFS=function(t){this.k=Array(t),this.k1=Array(t),this.j=Array(t)},numeric.ccsDFS.prototype.dfs=function(t,n,r,i,s,o){var u=0,a,f=s.length,l=this.k,c=this.k1,h=this.j,p,d;if(i[t]!==0)return;i[t]=1,h[0]=t,l[0]=p=n[t],c[0]=d=n[t+1];for(;;)if(p>=d){s[f]=h[u];if(u===0)return;++f,--u,p=l[u],d=c[u]}else a=o[r[p]],i[a]===0?(i[a]=1,l[u]=p,++u,h[u]=a,p=n[a],c[u]=d=n[a+1]):++p},numeric.ccsLPSolve=function(t,n,r,i,s,o,u){var a=t[0],f=t[1],l=t[2],c=a.length-1,h=0,p=n[0],d=n[1],v=n[2],m,g,y,b,w,E,S,x,T,N,C,k;g=p[s],y=p[s+1],i.length=0;for(m=g;m<y;++m)u.dfs(o[d[m]],a,f,r,i,o);for(m=i.length-1;m!==-1;--m)r[i[m]]=0;for(m=g;m!==y;++m)b=o[d[m]],r[b]=v[m];for(m=i.length-1;m!==-1;--m){b=i[m],E=a[b],S=a[b+1];for(x=E;x<S;++x)if(o[f[x]]===b){r[b]/=l[x];break}k=r[b];for(x=E;x<S;++x)T=o[f[x]],T!==b&&(r[T]-=k*l[x])}return r},numeric.ccsLUP1=function(t,n){var r=t[0].length-1,i=[numeric.rep([r+1],0),[],[]],s=[numeric.rep([r+1],0),[],[]],o=i[0],u=i[1],a=i[2],f=s[0],l=s[1],c=s[2],h=numeric.rep([r],0),p=numeric.rep([r],0),d,v,m,g,y,b,w,E,S,x,T=numeric.ccsLPSolve,N=Math.max,C=Math.abs,k=numeric.linspace(0,r-1),L=numeric.linspace(0,r-1),A=new numeric.ccsDFS(r);typeof n=="undefined"&&(n=1);for(d=0;d<r;++d){T(i,t,h,p,d,L,A),b=-1,w=-1;for(v=p.length-1;v!==-1;--v){m=p[v];if(m<=d)continue;E=C(h[m]),E>b&&(w=m,b=E)}C(h[d])<n*b&&(v=k[d],b=k[w],k[d]=b,L[b]=d,k[w]=v,L[v]=w,b=h[d],h[d]=h[w],h[w]=b),b=o[d],w=f[d],S=h[d],u[b]=k[d],a[b]=1,++b;for(v=p.length-1;v!==-1;--v)m=p[v],E=h[m],p[v]=0,h[m]=0,m<=d?(l[w]=m,c[w]=E,++w):(u[b]=k[m],a[b]=E/S,++b);o[d+1]=b,f[d+1]=w}for(v=u.length-1;v!==-1;--v)u[v]=L[u[v]];return{L:i,U:s,P:k,Pinv:L}},numeric.ccsDFS0=function(t){this.k=Array(t),this.k1=Array(t),this.j=Array(t)},numeric.ccsDFS0.prototype.dfs=function(t,n,r,i,s,o,u){var a=0,f,l=s.length,c=this.k,h=this.k1,p=this.j,d,v;if(i[t]!==0)return;i[t]=1,p[0]=t,c[0]=d=n[o[t]],h[0]=v=n[o[t]+1];for(;;){if(isNaN(d))throw new Error("Ow!");if(d>=v){s[l]=o[p[a]];if(a===0)return;++l,--a,d=c[a],v=h[a]}else f=r[d],i[f]===0?(i[f]=1,c[a]=d,++a,p[a]=f,f=o[f],d=n[f],h[a]=v=n[f+1]):++d}},numeric.ccsLPSolve0=function(t,n,r,i,s,o,u,a){var f=t[0],l=t[1],c=t[2],h=f.length-1,p=0,d=n[0],v=n[1],m=n[2],g,y,b,w,E,S,x,T,N,C,k,L;y=d[s],b=d[s+1],i.length=0;for(g=y;g<b;++g)a.dfs(v[g],f,l,r,i,o,u);for(g=i.length-1;g!==-1;--g)w=i[g],r[u[w]]=0;for(g=y;g!==b;++g)w=v[g],r[w]=m[g];for(g=i.length-
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H&&(H=D,T=b)}}P=0;for(b=N+1;b<=N+o;b+=1)P+=g[b]*g[b];if(Math.abs(P)<=U){if(q)return y[1]=1,999;for(b=1;b<=v;b+=1)g[A+b]=g[A+b]-H*g[C+b];return g[A+v+1]=g[A+v+1]+H,700}P=0;for(b=1;b<=o;b+=1)P+=g[N+b]*f[b][O];B=-g[L+O]/P,R=!0,q||H<B&&(B=H,R=!1);for(b=1;b<=o;b+=1)u[b]=u[b]+B*g[N+b],Math.abs(u[b])<U&&(u[b]=0);a[1]=a[1]+B*P*(B/2+g[A+v+1]);for(b=1;b<=v;b+=1)g[A+b]=g[A+b]-B*g[C+b];g[A+v+1]=g[A+v+1]+B;if(!R){P=-l[O];for(w=1;w<=o;w+=1)P+=u[w]*f[w][O];if(O>p)g[L+O]=P;else{g[L+O]=-Math.abs(P);if(P>0){for(w=1;w<=o;w+=1)f[w][O]=-f[w][O];l[O]=-l[O]}}return 700}v+=1,d[v]=O,E=k+(v-1)*v/2+1;for(b=1;b<=v-1;b+=1)g[E]=g[b],E+=1;if(v===o)g[E]=g[o];else{for(b=o;b>=v+1;b-=1){if(g[b]===0)break;j=Math.max(Math.abs(g[b-1]),Math.abs(g[b])),F=Math.min(Math.abs(g[b-1]),Math.abs(g[b])),g[b-1]>=0?D=Math.abs(j*Math.sqrt(1+F*F/(j*j))):D=-Math.abs(j*Math.sqrt(1+F*F/(j*j))),j=g[b-1]/D,F=g[b]/D;if(j===1)break;if(j===0){g[b-1]=F*D;for(w=1;w<=o;w+=1)D=e[w][b-1],e[w][b-1]=e[w][b],e[w][b]=D}else{g[b-1]=D,I=F/(1+j);for(w=1;w<=o;w+=1)D=j*e[w][b-1]+F*e[w][b],e[w][b]=I*(e[w][b-1]+D)-e[w][b],e[w][b-1]=D}}g[E]=g[v]}return 0}function J(){E=k+T*(T+1)/2+1,S=E+T;if(g[S]===0)return 798;j=Math.max(Math.abs(g[S-1]),Math.abs(g[S])),F=Math.min(Math.abs(g[S-1]),Math.abs(g[S])),g[S-1]>=0?D=Math.abs(j*Math.sqrt(1+F*F/(j*j))):D=-Math.abs(j*Math.sqrt(1+F*F/(j*j))),j=g[S-1]/D,F=g[S]/D;if(j===1)return 798;if(j===0){for(b=T+1;b<=v;b+=1)D=g[S-1],g[S-1]=g[S],g[S]=D,S+=b;for(b=1;b<=o;b+=1)D=e[b][T],e[b][T]=e[b][T+1],e[b][T+1]=D}else{I=F/(1+j);for(b=T+1;b<=v;b+=1)D=j*g[S-1]+F*g[S],g[S]=I*(g[S-1]+D)-g[S],g[S-1]=D,S+=b;for(b=1;b<=o;b+=1)D=j*e[b][T]+F*e[b][T+1],e[b][T+1]=I*(e[b][T]+D)-e[b][T+1],e[b][T]=D}return 0}function K(){S=E-T;for(b=1;b<=T;b+=1)g[S]=g[E],E+=1,S+=1;return g[A+T]=g[A+T+1],d[T]=d[T+1],T+=1,T<v?797:0}function Q(){return g[A+v]=g[A+v+1],g[A+v+1]=0,d[v]=0,v-=1,m[2]=m[2]+1,0}var b,w,E,S,x,T,N,C,k,L,A,O,M,_,D,P,H,B,j,F,I,q,R,U,z,W,X;M=Math.min(o,h),E=2*o+M*(M+5)/2+2*h+1,U=1e-60;do U+=U,z=1+.1*U,W=1+.2*U;while(z<=1||W<=1);for(b=1;b<=o;b+=1)g[b]=t[b];for(b=o+1;b<=E;b+=1)g[b]=0;for(b=1;b<=h;b+=1)d[b]=0;x=[];if(y[1]===0){s(e,n,o,x);if(x[1]!==0){y[1]=2;return}i(e,n,o,t),r(e,n,o)}else{for(w=1;w<=o;w+=1){u[w]=0;for(b=1;b<=w;b+=1)u[w]=u[w]+e[b][w]*t[b]}for(w=1;w<=o;w+=1){t[w]=0;for(b=w;b<=o;b+=1)t[w]=t[w]+e[w][b]*u[b]}}a[1]=0;for(w=1;w<=o;w+=1){u[w]=t[w],a[1]=a[1]+g[w]*u[w],g[w]=0;for(b=w+1;b<=o;b+=1)e[b][w]=0}a[1]=-a[1]/2,y[1]=0,N=o,C=N+o,A=C+M,k=A+M+1,L=k+M*(M+1)/2,_=L+h;for(b=1;b<=h;b+=1){P=0;for(w=1;w<=o;w+=1)P+=f[w][b]*f[w][b];g[_+b]=Math.sqrt(P)}v=0,m[1]=0,m[2]=0,X=0;for(;;){X=V();if(X===999)return;for(;;){X=$();if(X===0)break;if(X===999)return;if(X===700)if(T===v)Q();else{for(;;){J(),X=K();if(X!==797)break}Q()}}}}function u(e,r,i,s,u,a){e=t(e),r=t(r),i=t(i);var f,l,c,h,p,d=[],v=[],m=[],g=[],y=[],b;u=u||0,a=a?t(a):[undefined,0],s=s?t(s):[],l=e.length-1,c=i[1].length-1;if(!s)for(f=1;f<=c;f+=1)s[f]=0;for(f=1;f<=c;f+=1)v[f]=0;h=0,p=Math.min(l,c);for(f=1;f<=l;f+=1)m[f]=0;d[1]=0;for(f=1;f<=2*l+p*(p+5)/2+2*c+1;f+=1)g[f]=0;for(f=1;f<=2;f+=1)y[f]=0;return o(e,r,l,l,m,d,i,s,l,c,u,v,h,y,g,a),b="",a[1]===1&&(b="constraints are inconsistent, no solution!"),a[1]===2&&(b="matrix D in quadratic function is not positive definite!"),{solution:n(m),value:n(d),unconstrained_solution:n(r),iterations:n(y),iact:n(v),message:b}}e.solveQP=u}(numeric),numeric.svd=function(t){function g(e,t){return e=Math.abs(e),t=Math.abs(t),e>t?e*Math.sqrt(1+t*t/e/e):t==0?e:t*Math.sqrt(1+e*e/t/t)}var n,r=numeric.epsilon,i=1e-64/r,s=50,o=0,u=0,a=0,f=0,l=0,c=numeric.clone(t),h=c.length,p=c[0].length;if(h<p)throw"Need more rows than columns";var d=new Array(p),v=new Array(p);for(u=0;u<p;u++)d[u]=v[u]=0;var m=numeric.rep([p,p],0),y=0,b=0,w=0,E=0,S=0,x=0,T=0;for(u=0;u<p;u++){d[u]=b,T=0,l=u+1;for(a=u;a<h;a++)T+=c[a][u]*c[a][u];if(T<=i)b=0;else{y=c[u][u],b=Math.sqrt(T),y>=0&&(b=-b),w=y*b-T,c[u][u]=y-b;for(a=l;a<p;a++){T=0;for(f=u;f<h;f++)T+=c[f][u]*c[f][a];y=T/w;for(f=u;f<h;f++)c[f][a]+=y*c[f][u]}}v[u]=b,T=0;for(a=l;a<p;a++)T+=c[u][a]*c[u][a];if(T<=i)b=0;else{y=c[u][u+1],b=Math.sqrt(T),y>=0&&(b=-b),w=y*b-T,c[u][u+1]=y-b;for
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