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clmtrackr.min.js
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clmtrackr.min.js
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"use strict";function mosseFilter(a){var b,c,d,e,f,g,h,i,j,k;this.psr_prev=void 0,this.peak_prev=void 0;var l=!1;if(a||(a={}),void 0===a.drawResponse)a.drawResponse=!1;else if("CANVAS"!=a.drawResponse.tagName)a.drawResponse=!1;else var m=a.drawResponse.getContext("2d");void 0===a.psrThreshold&&(a.psrThreshold=10),void 0===a.eta&&(a.eta=.1),void 0===a.convertToGrayscale&&(a.convertToGrayscale=!0),this.load=function(a){f=a.width,g=a.height,i=f*g,b=[a.real,a.imag],a.top&&a.bottom&&(l=!0,c=[a.top.real,a.top.imag],d=[a.bottom.real,a.bottom.imag]),e=new FFT,e.init(a.width),"undefined"!=typeof Float64Array?(h=new Float64Array(i),k=new Float64Array(i)):(h=new Array(i),k=new Array(i));var m=document.createElement("canvas");m.setAttribute("width",f),m.setAttribute("height",g),j=m.getContext("2d")},this.init=function(a,k){f=a,g=k,i=f*g,b=[[],[]],c=[[],[]],d=[[],[]];for(var m=0;i>m;m++)b[0][m]=0,b[1][m]=0,c[0][m]=0,c[1][m]=0,d[0][m]=0,d[1][m]=0;l=!0,e=new FFT,e.init(a),h="undefined"!=typeof Float64Array?new Float64Array(i):new Array(i);var n=document.createElement("canvas");n.setAttribute("width",f),n.setAttribute("height",g),j=n.getContext("2d")},this.fft=function(a){for(var b=new Array(i),c=0;i>c;c++)b[c]=0;return e.fft2d(a,b),[a,b]},this.fft_inplace=function(a){for(var b=0;i>b;b++)h[b]=0;return e.fft2d(a,h),[a,h]},this.ifft=function(a,b){return e.ifft2d(a,b),a},this.psr=function(a){for(var b,c=0,d=0,e=[],h=0,i=0;f>i;i++)for(var j=0;g>j;j++)b=a[j*f+i],c+=b,h+=b*b,b>d&&(d=b,e=[i,j]);for(var i=-5;6>i;i++)for(var j=-5;6>j;j++)Math.sqrt(i*i+j*j)<5&&(b=a[(e[1]+j)*f+(e[0]+i)],h-=b*b,c-=b);var k=c/a.length,l=Math.sqrt(h/a.length-k*k),m=(d-k)/l;return m},this.getResponse=function(a){var c=n(a);c=o(c);var d=this.fft_inplace(c);q(d,b);var e=this.ifft(d[0],d[1]);return e},this.track=function(e,h,q,t,u,v,w,x){if(!b)return console.log("Mosse-filter needs to be initialized or trained before starting tracking."),!1;if("VIDEO"==e.tagName||"IMG"==e.tagName){var y=Math.round(h/e.width*e.videoWidth),z=Math.round(q/e.height*e.videoHeight),A=Math.round(t/e.width*e.videoWidth),B=Math.round(u/e.height*e.videoHeight);j.drawImage(e,y,z,A,B,0,0,f,g)}else"CANVAS"==e.tagName&&j.drawImage(e,h,q,t,u,0,0,f,g);var C=j.getImageData(0,0,f,g),D=C.data;if(a.convertToGrayscale)for(var E=0;i>E;E++)k[E]=.3*D[4*E],k[E]+=.59*D[4*E+1],k[E]+=.11*D[4*E+2];else for(var E=0;i>E;E++)k[E]=D[4*E];var F=n(k);F=o(F);var G=this.fft_inplace(F),H=p(G,b),I=this.ifft(H[0],H[1]),J=0,K=0,L=[];if(w)for(var M,N,O,P=128,Q=0;f>Q;Q++)for(var R=0;g>R;R++)N=Q-f/2,O=R-g/2,M=Math.exp(-.5*(N*N+O*O)/P),I[R*f+Q]*M>J&&(J=I[R*f+Q]*M,L=[Q,R]),I[R*f+Q]<K&&(K=I[R*f+Q]);else for(var Q=0;f>Q;Q++)for(var R=0;g>R;R++)I[R*f+Q]>J&&(J=I[R*f+Q],L=[Q,R]),I[R*f+Q]<K&&(K=I[R*f+Q]);if(this.peak_prev=J,a.drawResponse){var S=J-K,T=document.createElement("canvas");T.setAttribute("width",32),T.setAttribute("height",32);for(var U=T.getContext("2d"),V=U.createImageData(32,32),W=V.data,X=0;1024>X;X++){var Y=I[X];Y=Math.round((Y+Math.abs(K))*(255/S)),W[4*X]=Y,W[4*X+1]=Y,W[4*X+2]=Y,W[4*X+3]=255}U.putImageData(V,0,0),m.drawImage(T,h,q,t,t)}if(x&&(this.psr_prev=this.psr(I)),v)if(l){if(x)var Z=this.psr_prev;else var Z=this.psr(I);if(Z>a.psrThreshold){for(var $=[],_=L[0],ab=L[1],Q=0;f>Q;Q++)for(var R=0;g>R;R++)$[R*f+Q]=Math.exp(-((Q-_)*(Q-_)+(R-ab)*(R-ab))/4);$=this.fft($);for(var bb=r(G),cb=p($,bb),db=p(G,bb),eb=a.eta,E=0;i>E;E++)c[0][E]=eb*cb[0][E]+(1-eb)*c[0][E],c[1][E]=eb*cb[1][E]+(1-eb)*c[1][E],d[0][E]=eb*db[0][E]+(1-eb)*d[0][E],d[1][E]=eb*db[1][E]+(1-eb)*d[1][E];b=s(c,d)}}else console.log("The loaded filter does not support updating. Ignoring parameter 'updateFilter'.");return L[0]=L[0]*(t/f),L[1]=L[1]*(t/g),0>J?!1:L},this.train=function(e,h,m,q,t){if(!l)return console.log("The loaded filter does not support updating. Unable to do training."),!1;if("VIDEO"==e.tagName||"IMG"==e.tagName){var u=Math.round(h/e.width*e.videoWidth),v=Math.round(m/e.height*e.videoHeight),w=Math.round(q/e.width*e.videoWidth),x=Math.round(t/e.height*e.videoHeight);j.drawImage(e,u,v,w,x,0,0,f,g)}else"CANVAS"==e.tagName&&j.drawImage(e,h,m,q,t,0,0,f,g);for(var y=j.getImageData(0,0,f,g),z=y.data,A=0;i>A;A++)k[A]=.3*z[4*A],k[A]+=.59*z[4*A+1],k[A]+=.11*z[4*A+2];var B=n(k);B=o(B);for(var C=[],D=f/2,E=g/2,F=0;f>F;F++)for(var G=0;g>G;G++)C[G*f+F]=Math.exp(-((F-D)*(F-D)+(G-E)*(G-E))/4);C=this.fft(C);for(var H=this.fft(B),I=r(H),J=p(C,I),K=p(H,I),L=a.eta,A=0;i>A;A++)c[0][A]=L*J[0][A]+(1-L)*c[0][A],c[1][A]=L*J[1][A]+(1-L)*c[1][A],d[0][A]=L*K[0][A]+(1-L)*d[0][A],d[1][A]=L*K[1][A]+(1-L)*d[1][A];return b=s(c,d),!0};var n=function(a){for(var b=0;i>b;b++)a[b]=Math.log(a[b]+1);for(var c=0,b=0;i>b;b++)c+=a[b];c/=i;for(var b=0;i>b;b++)a[b]-=c;for(var d=0,b=0;i>b;b++)d+=a[b]*a[b];d=Math.sqrt(d);for(var b=0;i>b;b++)a[b]/=d;return a},o=function(a){for(var b=0,c=0;f>c;c++)for(var d=0;g>d;d++){var e=Math.sin(Math.PI*c/(f-1)),h=Math.sin(Math.PI*d/(g-1));a[b]=Math.min(e,h)*a[b],b++}return a},p=function(a,b){for(var c=new Array(f),d=new Array(f),e=[c,d],g=0;i>g;g++)e[0][g]=a[0][g]*b[0][g]-a[1][g]*b[1][g],e[1][g]=a[0][g]*b[1][g]+a[1][g]*b[0][g];return e},q=function(a,b){for(var c,d,e=0;i>e;e++)c=a[0][e]*b[0][e]-a[1][e]*b[1][e],d=a[0][e]*b[1][e]+a[1][e]*b[0][e],a[0][e]=c,a[1][e]=d},r=function(a){for(var b=[[],[]],c=0;i>c;c++)b[0][c]=a[0][c],b[1][c]=-a[1][c];return b},s=function(a,b){for(var c=[[],[]],d=0;i>d;d++)c[0][d]=(a[0][d]*b[0][d]+a[1][d]*b[1][d])/(b[0][d]*b[0][d]+b[1][d]*b[1][d]),c[1][d]=(a[1][d]*b[0][d]-a[0][d]*b[1][d])/(b[0][d]*b[0][d]+b[1][d]*b[1][d]);return c}}function FFT(){function a(a,b,c){for(var d,e,f,j,k,l,m,n,o,p=g>>2,q=0;g>q;q++)j=h[q],j>q&&(k=a[q],a[q]=a[j],a[j]=k,k=b[q],b[q]=b[j],b[j]=k);for(var r=1;g>r;r<<=1){e=0,d=g/(r<<1);for(var s=0;r>s;s++){l=i[e+p],m=c*i[e];for(var t=s;g>t;t+=r<<1)f=t+r,n=l*a[f]+m*b[f],o=l*b[f]-m*a[f],a[f]=a[t]-n,a[t]+=n,b[f]=b[t]-o,b[t]+=o;e+=d}}}function b(){h="undefined"!=typeof Uint8Array?new Uint8Array(g):new Array(g),"undefined"!=typeof Float64Array?(i=new Float64Array(1.25*g),e=new Float64Array(g*g),f=new Float64Array(g*g)):(i=new Array(1.25*g),e=new Array(g*g),f=new Array(g*g))}function c(){var a=0,b=0,c=0;for(h[0]=0;++a<g;){for(c=g>>1;b>=c;)b-=c,c>>=1;b+=c,h[a]=b}}function d(){var a=g>>1,b=g>>2,c=g>>3,d=a+b,e=Math.sin(Math.PI/g),f=2*e*e,h=Math.sqrt(f*(2-f)),j=i[b]=1,k=i[0]=0;e=2*f;for(var l=1;c>l;l++)j-=f,f+=e*j,k+=h,h-=e*k,i[l]=k,i[b-l]=j;0!==c&&(i[c]=Math.sqrt(.5));for(var m=0;b>m;m++)i[a-m]=i[m];for(var n=0;d>n;n++)i[n+a]=-i[n]}var e,f,g=0,h=null,i=null;this.init=function(a){if(0===a||0!==(a&a-1))throw new Error("init: radix-2 required");g=a,b(),c(),d()},this.fft1d=function(b,c){a(b,c,1)},this.ifft1d=function(b,c){var d=1/g;a(b,c,-1);for(var e=0;g>e;e++)b[e]*=d,c[e]*=d},this.fft2d=function(a,b){for(var c=0,d=0;g>d;d++){c=d*g;for(var h=0;g>h;h++)e[h]=a[h+c],f[h]=b[h+c];this.fft1d(e,f);for(var i=0;g>i;i++)a[i+c]=e[i],b[i+c]=f[i]}for(var j=0;g>j;j++){for(var k=0;g>k;k++)c=j+k*g,e[k]=a[c],f[k]=b[c];this.fft1d(e,f);for(var l=0;g>l;l++)c=j+l*g,a[c]=e[l],b[c]=f[l]}},this.ifft2d=function(a,b){for(var c=0,d=0;g>d;d++){c=d*g;for(var h=0;g>h;h++)e[h]=a[h+c],f[h]=b[h+c];this.ifft1d(e,f);for(var i=0;g>i;i++)a[i+c]=e[i],b[i+c]=f[i]}for(var j=0;g>j;j++){for(var k=0;g>k;k++)c=j+k*g,e[k]=a[c],f[k]=b[c];this.ifft1d(e,f);for(var l=0;g>l;l++)c=j+l*g,a[c]=e[l],b[c]=f[l]}}}var clm={tracker:function(a){function b(a,b,c){var d,e,g,h,i;d=2*b,e=C[d/2][0],g=C[d/2][1];for(var j=0;f>j;j++)e+=q.shapeModel.eigenVectors[d][j]*c[j+4],g+=q.shapeModel.eigenVectors[d+1][j]*c[j+4];h=c[0]*e-c[1]*g+c[2],i=c[0]*g+c[1]*e+c[3],e+=h,g+=i,a.beginPath(),a.arc(e,g,1,0,2*Math.PI,!0),a.closePath(),a.fill()}function c(a,b){for(var c=[],d=[],e=0;e<a.length;e++)c[e]=[a[e][0],a[e][1]];for(var e=0;e<b.length;e++)d[e]=[b[e][0],b[e][1]];b=d,a=c;for(var f=[0,0],e=0;e<a.length;e++)f[0]+=a[e][0],f[1]+=a[e][1];f[0]/=a.length,f[1]/=a.length;for(var g=[0,0],e=0;e<b.length;e++)g[0]+=b[e][0],g[1]+=b[e][1];g[0]/=b.length,g[1]/=b.length;for(var h=f[0]-g[0],i=f[1]-g[1],e=0;e<b.length;e++)b[e][0]-=g[0],b[e][1]-=g[1];for(var e=0;e<a.length;e++)a[e][0]-=f[0],a[e][1]-=f[1];for(var j=0,e=0;e<b.length;e++)j+=b[e][0]*b[e][0],j+=b[e][1]*b[e][1];j=Math.sqrt(j/b.length);for(var k=0,e=0;e<a.length;e++)k+=a[e][0]*a[e][0],k+=a[e][1]*a[e][1];k=Math.sqrt(k/a.length);for(var l=k/j,e=0;e<b.length;e++)b[e][0]*=l,b[e][1]*=l;for(var m=0,n=0,e=0;e<b.length;e++)m+=b[e][0]*a[e][1]-b[e][1]*a[e][0],n+=b[e][0]*a[e][0]+b[e][1]*a[e][1];var o=Math.atan(m/n);return h+=g[0]-l*Math.cos(-o)*g[0]-l*g[1]*Math.sin(-o),i+=g[1]+l*Math.sin(-o)*g[0]-l*g[1]*Math.cos(-o),[h,i,l,o]}a||(a={}),void 0===a.constantVelocity&&(a.constantVelocity=!0),void 0===a.searchWindow&&(a.searchWindow=11),void 0===a.useWebGL&&(a.useWebGL=!0),void 0===a.scoreThreshold&&(a.scoreThreshold=.3),void 0===a.stopOnConvergence&&(a.stopOnConvergence=!1),void 0===a.weightPoints&&(a.weightPoints=void 0),void 0===a.sharpenResponse&&(a.sharpenResponse=!1);var d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x=[],y=[],z=[],A=[],B=[],C=[],D=[10,5,1],E=.1,F=!0,G=.01,H=[],I=[];if("undefined"!=typeof Float64Array)var J=new Float64Array(2),K=new Float64Array(2);else var J=new Array(2),K=new Array(2);var L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,$,_,ab,bb,cb,db,eb=0,fb=document.createElement("canvas"),gb=fb.getContext("2d"),hb=[],ib=0,jb=[0,0],kb=[0,0],lb=[0,0],mb=Math.PI/2;this.init=function(b){q=b,g=q.patchModel.patchType,d=q.patchModel.numPatches,e=q.patchModel.patchSize[0],r="MOSSE"==g?e:a.searchWindow,f=q.shapeModel.numEvalues,s=q.patchModel.canvasSize[0],t=q.patchModel.canvasSize[1],n=document.createElement("canvas"),k=n.getContext("2d"),l=n.width=s+(r-1)+e-1,m=n.height=t+(r-1)+e-1,q.hints&&mosseFilter&&left_eye_filter&&right_eye_filter&&nose_filter?(Z=new mosseFilter,Z.load(left_eye_filter),$=new mosseFilter,$.load(right_eye_filter),_=new mosseFilter,_.load(nose_filter)):console.log("MOSSE filters not found, using rough approximation for initialization."),i=numeric.rep([2*d,f],0);for(var c=0;2*d>c;c++)for(var o=0;f>o;o++)i[c][o]=q.shapeModel.eigenVectors[c][o];for(var c=0;d>c;c++)C[c]=[q.shapeModel.meanShape[c][0],q.shapeModel.meanShape[c][1]];T=U=0,R=S=1e6;for(var c=0;d>c;c++)C[c][0]<R&&(R=C[c][0]),C[c][1]<S&&(S=C[c][1]),C[c][0]>T&&(T=C[c][0]),C[c][1]>U&&(U=C[c][1]);V=T-R,W=U-S,q.scoring&&(X=new Float64Array(q.scoring.coef),Y=q.scoring.bias,fb.width=q.scoring.size[0],fb.height=q.scoring.size[1]),j=q.shapeModel.eigenValues,p=q.patchModel.weights,h=numeric.rep([f+4,f+4],0);for(var c=0;f>c;c++)h[c+4][c+4]=q.shapeModel.nonRegularizedVectors.indexOf(c)>=0?1e-7:1/j[c];for(var c=0;f+4>c;c++)x[c]=0;if("SVM"==g){var y,z=document.createElement("canvas");if(window.WebGLRenderingContext&&(y=z.getContext("webgl")||z.getContext("experimental-webgl"),y&&y.getExtension("OES_texture_float")||(y=null)),y&&a.useWebGL&&"undefined"!=typeof webglFilter)O=new webglFilter,O.init(p,d,r+e-1,r+e-1,e,e,!0);else{if("undefined"==typeof svmFilter)throw"Could not initiate filters, please make sure that svmfilter.js or svmfilter_conv_js.js is loaded.";P=new svmFilter,P.init(p,d,e,r)}}else"MOSSE"==g&&(Q=new mosseFilterResponses,Q.init(p,d,e,e));if(L=M="SVM"==g?e+r-1:r,N=L*M,u=(r-1)/2,w=r*r,"undefined"!=typeof Float64Array){v=new Float64Array(w);for(var c=0;d>c;c++)B[c]=new Float64Array(N)}else{v=new Array(w);for(var c=0;d>c;c++)B[c]=new Array(N)}for(var c=0;d>c;c++)H[c]=1,I[c]=0;if(a.weightPoints){db=[];for(var c=0;d>c;c++)c in a.weightPoints?(db[2*c]=a.weightPoints[c],db[2*c+1]=a.weightPoints[c]):(db[2*c]=1,db[2*c+1]=1);db=numeric.diag(db)}},this.start=function(a,b){return"undefined"==typeof q?(console.log("tracker needs to be initalized before starting to track."),!1):("undefined"==typeof bb&&(bb=a,cb=b),void(ab=wb(nb)))},this.stop=function(){xb(ab)},this.track=function(b,c){var e,n,o,p,q,s,t;if(F){var u=ub(b,c);if(!u){var w=document.createEvent("Event");return w.initEvent("clmtrackrNotFound",!0,!0),document.dispatchEvent(w),!1}e=u[0],p=u[1],n=u[2],o=u[3],F=!1}else{if(eb+=1,a.constantVelocity&&z.length>=2)for(var C=0;C<x.length;C++)x[C]=E*z[1][C]+(1-E)*(2*z[1][C]-z[0][C]);p=mb-Math.atan((x[0]+1)/x[1]),p>mb&&(p-=Math.PI),e=x[1]/Math.sin(p),n=x[2],o=x[3]}k.save(),k.clearRect(0,0,l,m),k.scale(1/e,1/e),k.rotate(-p),k.translate(-n,-o),k.drawImage(b,0,0,b.width,b.height),k.restore();var H=pb(x,!1);if(X&&eb%10==0&&!tb()){F=!0,hb=[];for(var C=0;C<x.length;C++)x[C]=0,z=[];var w=document.createEvent("Event");return w.initEvent("clmtrackrLost",!0,!0),document.dispatchEvent(w),!1}for(var I,R,S,C=0;d>C;C++){s=H[C][0]-L/2,t=H[C][1]-M/2,q=k.getImageData(Math.round(s),Math.round(t),L,M),I=q.data,R=B[C];for(var T=0;N>T;T++)S=.3*I[4*T]+.59*I[4*T+1]+.11*I[4*T+2],R[T]=S}if("SVM"==g)if("undefined"!=typeof O)var U=O.getResponses(B,!0);else{if("undefined"==typeof P)throw"SVM-filters do not seem to be initiated properly.";var U=P.getResponses(B)}else if("MOSSE"==g)var U=Q.getResponses(B);if(a.sharpenResponse)for(var C=0;d>C;C++)for(var T=0;T<U[C].length;T++)U[C][T]=Math.pow(U[C][T],a.sharpenResponse);for(var V,W=y,Y=[],C=0;C<D.length;C++){V=ob(x,i);for(var Z,$,T=0;d>T;T++){Z=W[T][0]-(r-1)*e/2,$=W[T][1]-(r-1)*e/2;var _=rb(r,y[T],J,v,U,Z,$,T,D[C],e);sb(r,K,J,v,_,Z,$,e),Y[T]=[K[0]-y[T][0],K[1]-y[T][1]]}for(var ab=numeric.rep([2*d,1],0),bb=0;d>bb;bb++)ab[2*bb][0]=Y[bb][0],ab[2*bb+1][0]=Y[bb][1];var cb=numeric.mul(h,D[C]);if(a.weightPoints)var fb=numeric.dot(numeric.transpose(V),numeric.dot(db,V));else var fb=numeric.dot(numeric.transpose(V),V);for(var gb=numeric.rep([f+4,1],0),ib=0;f+4>ib;ib++)gb[ib][0]=x[ib];var jb=numeric.dot(cb,gb);if(a.weightPoints)var kb=numeric.dot(numeric.transpose(V),numeric.dot(db,ab));else var kb=numeric.dot(numeric.transpose(V),ab);for(var lb=numeric.add(cb,fb),nb=numeric.sub(jb,kb),qb=numeric.dot(numeric.inv(lb),nb),vb=y,bb=0;f+4>bb;bb++)x[bb]-=qb[bb];for(var wb,bb=0;f>bb;bb++)wb=Math.abs(3*Math.sqrt(j[bb])),Math.abs(x[bb+4])>wb&&(x[bb+4]=x[bb+4]>0?wb:-wb);y=pb(x,!0);for(var xb,yb,zb=0,bb=0;bb<y.length;bb++)xb=y[bb][0]-vb[bb][0],yb=y[bb][1]-vb[bb][1],zb+=xb*xb+yb*yb;if(G>zb)break}a.constantVelocity&&(z.push(x.slice()),z.splice(0,3==z.length?1:0)),A.splice(0,10==A.length?1:0),A.push(y.slice(0));var w=document.createEvent("Event");if(w.initEvent("clmtrackrIteration",!0,!0),document.dispatchEvent(w),this.getConvergence()<.5){a.stopOnConvergence&&this.stop();var w=document.createEvent("Event");w.initEvent("clmtrackrConverged",!0,!0),document.dispatchEvent(w)}return y},this.reset=function(){F=!0,hb=[];for(var a=0;a<x.length;a++)x[a]=0,z=[];bb=void 0,cb=void 0},this.draw=function(a,c,d){var e;e=void 0===c?x.slice(0):c.slice(0);var f=a.getContext("2d");f.fillStyle="rgb(200,200,200)",f.strokeStyle="rgb(130,255,50)";var g;g=void 0===d?q.path.normal:q.path[d];for(var h=0;h<g.length;h++)"number"==typeof g[h]?b(f,g[h],e):vb(f,g[h],e)},this.getScore=function(){return ib},this.calculatePositions=function(a){return pb(a,!0)},this.getCurrentPosition=function(){return F?!1:y},this.getCurrentParameters=function(){return x},this.getConvergence=function(){if(A.length<10)return 999999;for(var a=0,b=0,c=0,e=0,f=0;5>f;f++)for(var g=0;d>g;g++)a+=A[f][g][0],b+=A[f][g][1];a/=5,b/=5;for(var f=5;10>f;f++)for(var g=0;d>g;g++)c+=A[f][g][0],e+=A[f][g][1];c/=5,e/=5;var h=c-a,i=e-b,j=h*h+i*i;return j/=A.length};var nb=function(){ab=wb(nb);for(var a=(new Date).getTime();(new Date).getTime()-a<16;){{this.track(bb,cb)}}}.bind(this),ob=function(a,b){for(var c,e,g=numeric.rep([2*d,f+4],0),h=0;d>h;h++){c=C[h][0],e=C[h][1];for(var 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o},rb=function(a,b,c,d,e,f,g,h,i,j){for(var k,l,m=0,n=0,o=0;a>o;o++){c[1]=g+o*j;for(var p=0;a>p;p++)c[0]=f+p*j,k=b[0]-c[0],l=b[1]-c[1],d[m]=e[h][m]*Math.exp(-.5*(k*k+l*l)/(i*j)),n+=d[m],m++}return n},sb=function(a,b,c,d,e,f,g,h){var i=0,j=0;b[0]=0,b[1]=0;for(var k=0;a>k;k++){c[1]=g+k*h;for(var l=0;a>l;l++)c[0]=f+l*h,j=d[i]/e,b[0]+=j*c[0],b[1]+=j*c[1],i++}},tb=function(){gb.drawImage(n,Math.round(R),Math.round(S),Math.round(V),Math.round(W),0,0,20,22);for(var b=gb.getImageData(0,0,20,22),c=new Array(440),d=b.data,e=0,f=255,g=0;440>g;g++)c[g]=.3*d[4*g]+.59*d[4*g+1]+.11*d[4*g+2],c[g]>e&&(e=c[g]),c[g]<f&&(f=c[g]);if(e>0){for(var h=0,i=gb.createImageData(20,22),j=i.data,k=new Array(440),l=1e7,m=-1e7,g=0;440>g;g++)c[g]=(c[g]-f)/(e-f),k[g]=c[g]*X[g],k[l]<g&&(l=k[g]),k[g]>m&&(m=k[g]);for(var g=0;440>g;g++){var o=255*((k[g]-l)/(m-l));j[4*g]=o,j[4*g+1]=o,j[4*g+2]=o,j[4*g+3]=255}gb.putImageData(i,0,0);for(var g=0;440>g;g++)h+=c[g]*-X[g];if(h+=Y,hb.splice(0,5==hb.length?1:0),hb.push(h),hb.length>4){ib=0;for(var g=0;5>g;g++)ib+=hb[g];if(ib/=5,ib<a.scoreThreshold)return!1}}return!0},ub=function(a,b){var d,e,f,g;if(b)o={x:b[0],y:b[1],width:b[2],height:b[3]};else{var h=qb(a);if(!h)return!1}if(q.hints&&mosseFilter&&left_eye_filter&&right_eye_filter&&nose_filter){var i=4.5*o.width/10,j=6*o.width/10,k=_.track(a,Math.round(o.x+o.width/2-i/2),Math.round(o.y+o.height*(5/8)-i/2),i,i,!1),l=$.track(a,Math.round(o.x+3*o.width/4-j/2),Math.round(o.y+.4*o.height-j/2),j,j,!1),m=Z.track(a,Math.round(o.x+o.width/4-j/2),Math.round(o.y+.4*o.height-j/2),j,j,!1);jb[0]=Math.round(o.x+3*o.width/4-j/2)+l[0],jb[1]=Math.round(o.y+.4*o.height-j/2)+l[1],kb[0]=Math.round(o.x+o.width/4-j/2)+m[0],kb[1]=Math.round(o.y+.4*o.height-j/2)+m[1],lb[0]=Math.round(o.x+o.width/2-i/2)+k[0],lb[1]=Math.round(o.y+o.height*(5/8)-i/2)+k[1];var n=q.hints.leftEye,p=q.hints.rightEye,r=q.hints.nose,s=c([kb,jb,lb],[n,p,r]);d=s[0],e=s[1],f=s[2],g=s[3],x[0]=f*Math.cos(g)-1,x[1]=f*Math.sin(g),x[2]=d,x[3]=e}else f=o.width/modelheight,d=o.x-xmin*f+.1*o.width,e=o.y-ymin*f+.25*o.height,x[0]=f-1,x[2]=d,x[3]=e;return y=pb(x,!0),[f,g,d,e]},vb=function(a,b,c){a.beginPath();for(var d,e,g,h,i,j=0;j<b.length;j++){d=2*b[j],e=C[d/2][0],g=C[d/2][1];for(var k=0;f>k;k++)e+=q.shapeModel.eigenVectors[d][k]*c[k+4],g+=q.shapeModel.eigenVectors[d+1][k]*c[k+4];h=c[0]*e-c[1]*g+c[2],i=c[0]*g+c[1]*e+c[3],e+=h,g+=i,0==d?a.moveTo(e,g):a.lineTo(e,g)}a.moveTo(0,0),a.closePath(),a.stroke()},wb=function(){return window.requestAnimationFrame||window.webkitRequestAnimationFrame||window.mozRequestAnimationFrame||window.oRequestAnimationFrame||window.msRequestAnimationFrame||function(a){return window.setTimeout(a,1e3/60)}}(),xb=function(){return window.cancelCancelRequestAnimationFrame||window.webkitCancelRequestAnimationFrame||window.mozCancelRequestAnimationFrame||window.oCancelRequestAnimationFrame||window.msCancelRequestAnimationFrame||window.clearTimeout}();return!0}},webglFilter=function(){var a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,A,B,C,D,E,F,G,H=!0;this.init=function(n,o,p,q,H,K){if(H!=K)return void alert("filter width and height must be same size!");if(H%2==0||K%2==0)return void alert("filters used in svm must be of odd dimensions!");if(c=H,d=K,e=p,f=q,g=o,m=Math.floor(g/4)+Math.ceil(g%4),h=e,i=f*m,w=e-c+1,x=f-c+1,y=x*g,J=["precision mediump float;","","const vec2 u_onePixelPatches = vec2("+(1/e).toFixed(10)+","+(1/(f*m)).toFixed(10)+");","const vec2 u_onePixelFilters = vec2("+(1/c).toFixed(10)+","+(1/(d*m)).toFixed(10)+");","const float u_halffilterwidth = "+((c-1)/2).toFixed(1)+";","const float u_halffilterheight = "+((d-1)/2).toFixed(1)+";","","// our patches","uniform sampler2D u_patches;","// our filters","uniform sampler2D u_filters;","","// the texCoords passed in from the vertex shader.","varying vec2 v_texCoord;","varying vec2 v_texCoordFilters; // this should give us correct filter","","void main() {"," vec4 colorSum = vec4(0.0, 0.0, 0.0, 0.0);"," vec4 maxn = vec4(0.0, 0.0, 0.0, 0.0);"," vec4 minn = vec4(256.0, 256.0, 256.0, 256.0);"," vec4 scale = vec4(0.0, 0.0, 0.0, 0.0);"," vec4 patchValue = vec4(0.0, 0.0, 0.0, 0.0);"," vec4 filterValue = vec4(0.0, 0.0, 0.0, 0.0);"," vec4 filterTemp = vec4(0.0, 0.0, 0.0, 0.0);"," for (int w = 0;w < "+c+";w++) {"," for (int h = 0;h < "+d+";h++) {"," patchValue = texture2D(u_patches, v_texCoord + u_onePixelPatches * vec2(float(w)-u_halffilterwidth, float(h)-u_halffilterheight));"," filterValue = texture2D(u_filters, v_texCoordFilters + u_onePixelFilters * vec2(float(w)-u_halffilterwidth, float(h)-u_halffilterheight));"," maxn = max(patchValue, maxn);"," minn = min(patchValue, minn);"," colorSum += patchValue*filterValue;"," filterTemp += filterValue;"," } "," }"," scale = maxn-minn;"," colorSum = (colorSum-(minn*filterTemp))/scale;"," // logistic transformation"," colorSum = 1.0/(1.0 + exp(- (colorSum-1.0) ));"," gl_FragColor = colorSum;","}"].join("\n"),I=["attribute vec2 a_texCoord;","attribute vec2 a_position;","","const vec2 u_resolution = vec2("+h.toFixed(1)+","+i.toFixed(1)+");","const float u_patchHeight = "+(1/m).toFixed(10)+";","const float u_filterHeight = "+(1/m).toFixed(10)+";","const vec2 u_midpoint = vec2(0.5 ,"+(1/(2*m)).toFixed(10)+");","","varying vec2 v_texCoord;","varying vec2 v_texCoordFilters;","","void main() {"," // convert the rectangle from pixels to 0.0 to 1.0"," vec2 zeroToOne = a_position / u_resolution;",""," // convert from 0->1 to 0->2"," vec2 zeroToTwo = zeroToOne * 2.0;",""," // convert from 0->2 to -1->+1 (clipspace)"," vec2 clipSpace = zeroToTwo - 1.0;"," "," // transform coordinates to regular coordinates"," gl_Position = vec4(clipSpace * vec2(1.0, 1.0), 0, 1);"," "," // pass the texCoord to the fragment shader"," v_texCoord = a_texCoord;"," "," // set the filtertexture coordinate based on number filter to use"," v_texCoordFilters = u_midpoint + vec2(0.0, u_filterHeight * floor(a_texCoord[1]/u_patchHeight));","}"].join("\n"),b=document.createElement("canvas"),b.setAttribute("width",e-c+1+"px"),b.setAttribute("height",(f-d+1)*g+"px"),b.setAttribute("id","renderCanvas"),b.setAttribute("style","display:none;"),document.body.appendChild(b),a=setupWebGL(b,{premultipliedAlpha:!1,preserveDrawingBuffer:!0,antialias:!1}),!a.getExtension("OES_texture_float"))return void alert("Your graphics card does not support floating point textures! :(");for(var L,M=[],N=(c-1)/2,Q=0;m>Q;Q++)L=Q*f,M=M.concat([N,L+N,e-N,L+N,N,L+f-N]),M=M.concat([N,L+f-N,e-N,L+N,e-N,L+f-N]);M=new Float32Array(M);for(var R=[],Q=0;Q<M.length;Q++)R[Q]=Q%2==0?M[Q]/h:M[Q]/i;R=new Float32Array(R);var S=loadShader(a,O,a.VERTEX_SHADER),T=loadShader(a,P,a.FRAGMENT_SHADER);k=createProgram(a,[S,T]),a.useProgram(k);var U=a.getUniformLocation(k,"u_resolutiondraw");a.uniform2f(U,w,y);var V=a.getUniformLocation(k,"u_responses");a.uniform1i(V,2);var W=loadShader(a,I,a.VERTEX_SHADER),X=loadShader(a,J,a.FRAGMENT_SHADER);j=createProgram(a,[W,X]),a.useProgram(j);var Y=a.getAttribLocation(j,"a_position");v=a.createBuffer(),a.bindBuffer(a.ARRAY_BUFFER,v),a.bufferData(a.ARRAY_BUFFER,M,a.STATIC_DRAW),a.enableVertexAttribArray(Y),a.vertexAttribPointer(Y,2,a.FLOAT,!1,0,0),u=a.getAttribLocation(j,"a_texCoord"),t=a.createBuffer(),a.bindBuffer(a.ARRAY_BUFFER,t),a.bufferData(a.ARRAY_BUFFER,R,a.STATIC_DRAW),a.enableVertexAttribArray(u),a.vertexAttribPointer(u,2,a.FLOAT,!1,0,0);for(var Z=c*d,$=new Float32Array(Z*m*4),Q=0;m>Q;Q++)for(var _=0;d>_;_++)for(var ab=0;c>ab;ab++)$[4*(Z*Q+_*c+ab)]=4*Q<n.length?n[4*Q][_*c+ab]:0,$[4*(Z*Q+_*c+ab)+1]=4*Q+1<n.length?n[4*Q+1][_*c+ab]:0,$[4*(Z*Q+_*c+ab)+2]=4*Q+2<n.length?n[4*Q+2][_*c+ab]:0,$[4*(Z*Q+_*c+ab)+3]=4*Q+3<n.length?n[4*Q+3][_*c+ab]:0;a.activeTexture(a.TEXTURE0),s=a.createTexture(),a.bindTexture(a.TEXTURE_2D,s),a.texImage2D(a.TEXTURE_2D,0,a.RGBA,c,d*m,0,a.RGBA,a.FLOAT,$),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_WRAP_S,a.CLAMP_TO_EDGE),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_WRAP_T,a.CLAMP_TO_EDGE),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_MIN_FILTER,a.NEAREST),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_MAG_FILTER,a.NEAREST),a.uniform1i(a.getUniformLocation(j,"u_filters"),0),a.activeTexture(a.TEXTURE2),r=a.createTexture(),a.bindTexture(a.TEXTURE_2D,r),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_WRAP_S,a.CLAMP_TO_EDGE),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_WRAP_T,a.CLAMP_TO_EDGE),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_MIN_FILTER,a.NEAREST),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_MAG_FILTER,a.NEAREST),a.texImage2D(a.TEXTURE_2D,0,a.RGBA,e,f*m,0,a.RGBA,a.FLOAT,null),l=a.createFramebuffer(),a.bindFramebuffer(a.FRAMEBUFFER,l),a.framebufferTexture2D(a.FRAMEBUFFER,a.COLOR_ATTACHMENT0,a.TEXTURE_2D,r,0),a.viewport(0,0,e,f*m),z=new Float32Array(12*g);for(var L,bb,Q=0;g>Q;Q++)L=Q*x,bb=12*Q,z[bb]=0,z[bb+1]=L,z[bb+2]=w,z[bb+3]=L,z[bb+4]=0,z[bb+5]=L+x,z[bb+6]=0,z[bb+7]=L+x,z[bb+8]=w,z[bb+9]=L,z[bb+10]=w,z[bb+11]=L+x;A=new Float32Array(12*g),C=Math.floor(g/4)+Math.ceil(g%4);for(var cb=(c-1)/2/e,db=(c-1)/2/(f*C),eb=f/(f*C),Q=0;g>Q;Q++)L=Math.floor(Q/4)*eb,bb=12*Q,A[bb]=cb,A[bb+1]=L+db,A[bb+2]=1-cb,A[bb+3]=L+db,A[bb+4]=cb,A[bb+5]=L+eb-db,A[bb+6]=cb,A[bb+7]=L+eb-db,A[bb+8]=1-cb,A[bb+9]=L+db,A[bb+10]=1-cb,A[bb+11]=L+eb-db;B=new Float32Array(6*g);for(var fb,Q=0;g>Q;Q++)fb=Q%4,bb=6*Q,B[bb]=fb,B[bb+1]=fb,B[bb+2]=fb,B[bb+3]=fb,B[bb+4]=fb,B[bb+5]=fb;D=e,E=f*C,F=e*f,G=new Float32Array(F*C*4)},this.getResponses=function(b,c){if(!H){a.useProgram(j);var d=a.getAttribLocation(j,"a_position");a.bindBuffer(a.ARRAY_BUFFER,v),a.enableVertexAttribArray(d),a.vertexAttribPointer(d,2,a.FLOAT,!1,0,0);var h=a.getAttribLocation(j,"a_texCoord");a.bindBuffer(a.ARRAY_BUFFER,t),a.enableVertexAttribArray(h),a.vertexAttribPointer(h,2,a.FLOAT,!1,0,0),a.bindFramebuffer(a.FRAMEBUFFER,l),a.viewport(0,0,e,f*m)}for(var i=0,r=0,s=0,u=0;C>u;u++)for(var x=0;f>x;x++)for(var I=0;e>I;I++)r=4*u,s=x*e+I,i=4*(F*u+s),G[i]=g>r?b[r][s]:0,G[i+1]=g>r+1?b[r+1][s]:0,G[i+2]=g>r+2?b[r+2][s]:0,G[i+3]=g>r+3?b[r+3][s]:0;if(a.activeTexture(a.TEXTURE1),H&&(n=a.createTexture()),a.bindTexture(a.TEXTURE_2D,n),a.texImage2D(a.TEXTURE_2D,0,a.RGBA,D,E,0,a.RGBA,a.FLOAT,G),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_WRAP_S,a.CLAMP_TO_EDGE),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_WRAP_T,a.CLAMP_TO_EDGE),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_MIN_FILTER,a.NEAREST),a.texParameteri(a.TEXTURE_2D,a.TEXTURE_MAG_FILTER,a.NEAREST),a.uniform1i(a.getUniformLocation(j,"u_patches"),1),a.clearColor(0,0,0,1),a.clear(a.COLOR_BUFFER_BIT|a.DEPTH_BUFFER),a.drawArrays(a.TRIANGLES,0,6*C),c){a.useProgram(k),a.bindFramebuffer(a.FRAMEBUFFER,null),a.viewport(0,0,w,y),a.clearColor(0,0,0,1),a.clear(a.COLOR_BUFFER_BIT|a.DEPTH_BUFFER),H&&(o=a.createBuffer()),a.bindBuffer(a.ARRAY_BUFFER,o),a.bufferData(a.ARRAY_BUFFER,z,a.STATIC_DRAW);var 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b=[],c=a.length,d=0;c>d;d+=4)b[d/4>>0]=a[d]/4294967296+a[d+1]/16777216+a[d+2]/65536+a[d+3]/256;return b},N=function(a){for(var b=a.length,c=0,d=1,e=0;b>e;e++)c=a[e]>c?a[e]:c,d=a[e]<d?a[e]:d;var f=c-d;if(0==f)console.log("a patchresponse was monotone, causing normalization to fail. 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Leaving it unchanged.");else for(var e=0;b>e;e++)a[e]=(a[e]-d)/f}},mosseFilterResponses=function(){var a=[],b=[],c=0;this.init=function(b,d,e,f){for(var g=0;d>g;g++){var h={};h.width=e,h.height=f;for(var i=e*f,j=new Float64Array(i),k=new Float64Array(i),l=0;i>l;l++)j[l]=b[g][0][l],k[l]=b[g][1][l];h.real=j,h.imag=k,a[g]=new mosseFilter,a[g].load(h)}c=d},this.getResponses=function(e){for(var f=0;c>f;f++)b[f]=a[f].getResponse(e[f]),b[f]=d(b[f]);return b};var d=function(a){for(var b=a.length,c=0,d=1,e=0;b>e;e++)c=a[e]>c?a[e]:c,d=a[e]<d?a[e]:d;var f=c-d;if(0==f)console.log("a patchresponse was monotone, causing normalization to fail. 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numeric.ops1)numeric.ops1.hasOwnProperty(a)&&(e="",b=numeric.ops1[a],-1!==numeric.myIndexOf.call(numeric.mathfuns,a)&&Math.hasOwnProperty(b)&&(e="var "+b+" = Math."+b+";\n"),numeric[a+"eqV"]=numeric.pointwise2(["ret[i]"],"ret[i] = "+b+"(ret[i]);",e),numeric[a+"eq"]=Function("x",'if(typeof x !== "object") return '+b+"x\nvar i;\nvar V = numeric."+a+"eqV;\nvar s = numeric.dim(x);\nnumeric._foreach(x,s,0,V);\nreturn x;\n"),numeric[a+"V"]=numeric.pointwise2(["x[i]"],"ret[i] = "+b+"(x[i]);",e),numeric[a]=Function("x",'if(typeof x !== "object") return '+b+"(x)\nvar i;\nvar V = numeric."+a+"V;\nvar s = numeric.dim(x);\nreturn numeric._foreach2(x,s,0,V);\n"));for(a=0;a<numeric.mathfuns.length;++a)b=numeric.mathfuns[a],delete numeric.ops1[b];for(a in numeric.mapreducers)numeric.mapreducers.hasOwnProperty(a)&&(b=numeric.mapreducers[a],numeric[a+"V"]=numeric.mapreduce2(b[0],b[1]),numeric[a]=Function("x","s","k",b[1]+'if(typeof x !== "object") { xi = x;\n'+b[0]+';\n return accum;\n}if(typeof s === 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o=-1,p=-1;for(f=g;f!==k;++f)h=j(m[f][g]),h>p&&(o=f,p=h);for(c=m[o],m[o]=m[g],m[g]=c,e=n[o],n[o]=n[g],n[g]=e,a=c[g],h=g;h!==l;++h)c[h]/=a;for(h=l-1;-1!==h;--h)e[h]/=a;for(f=k-1;-1!==f;--f)if(f!==g){for(b=m[f],d=n[f],a=b[g],h=g+1;h!==l;++h)b[h]-=c[h]*a;for(h=l-1;h>0;--h)d[h]-=e[h]*a,--h,d[h]-=e[h]*a;0===h&&(d[0]-=e[0]*a)}}return n},numeric.det=function(a){var b=numeric.dim(a);if(2!==b.length||b[0]!==b[1])throw new Error("numeric: det() only works on square matrices");var c,d,e,f,g,h,i,j,k=b[0],l=1,m=numeric.clone(a);for(d=0;k-1>d;d++){for(e=d,c=d+1;k>c;c++)Math.abs(m[c][d])>Math.abs(m[e][d])&&(e=c);for(e!==d&&(i=m[e],m[e]=m[d],m[d]=i,l*=-1),f=m[d],c=d+1;k>c;c++){for(g=m[c],h=g[d]/f[d],e=d+1;k-1>e;e+=2)j=e+1,g[e]-=f[e]*h,g[j]-=f[j]*h;e!==k&&(g[e]-=f[e]*h)}if(0===f[d])return 0;l*=f[d]}return l*m[d][d]},numeric.transpose=function(a){var b,c,d,e,f,g=a.length,h=a[0].length,i=Array(h);for(c=0;h>c;c++)i[c]=Array(g);for(b=g-1;b>=1;b-=2){for(e=a[b],d=a[b-1],c=h-1;c>=1;--c)f=i[c],f[b]=e[c],f[b-1]=d[c],--c,f=i[c],f[b]=e[c],f[b-1]=d[c];0===c&&(f=i[0],f[b]=e[0],f[b-1]=d[0])}if(0===b){for(d=a[0],c=h-1;c>=1;--c)i[c][0]=d[c],--c,i[c][0]=d[c];0===c&&(i[0][0]=d[0])}return i},numeric.negtranspose=function(a){var b,c,d,e,f,g=a.length,h=a[0].length,i=Array(h);for(c=0;h>c;c++)i[c]=Array(g);for(b=g-1;b>=1;b-=2){for(e=a[b],d=a[b-1],c=h-1;c>=1;--c)f=i[c],f[b]=-e[c],f[b-1]=-d[c],--c,f=i[c],f[b]=-e[c],f[b-1]=-d[c];0===c&&(f=i[0],f[b]=-e[0],f[b-1]=-d[0])}if(0===b){for(d=a[0],c=h-1;c>=1;--c)i[c][0]=-d[c],--c,i[c][0]=-d[c];0===c&&(i[0][0]=-d[0])}return i},numeric._random=function f(a,b){var c,d,e=a[b],g=Array(e);if(b===a.length-1){for(d=Math.random,c=e-1;c>=1;c-=2)g[c]=d(),g[c-1]=d();return 0===c&&(g[0]=d()),g}for(c=e-1;c>=0;c--)g[c]=f(a,b+1);return g},numeric.random=function(a){return numeric._random(a,0)},numeric.norm2=function(a){return 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c,d,e,f,g,h=b[0],i=b[1];for(c=0,d=0,e=0;h>e;++e)c+=a[e][0].length;for(f=0;i>f;++f)d+=a[0][f][0].length;var j=Array(c);for(e=0;c>e;++e)j[e]=Array(d);var k,l,m,n,o,p=0;for(e=0;h>e;++e){for(k=d,f=i-1;-1!==f;--f)for(g=a[e][f],k-=g[0].length,m=g.length-1;-1!==m;--m)for(o=g[m],l=j[p+m],n=o.length-1;-1!==n;--n)l[k+n]=o[n];p+=a[e][0].length}return j},numeric.tensor=function(a,b){if("number"==typeof a||"number"==typeof b)return numeric.mul(a,b);var c=numeric.dim(a),d=numeric.dim(b);if(1!==c.length||1!==d.length)throw new Error("numeric: tensor product is only defined for vectors");var e,f,g,h,i=c[0],j=d[0],k=Array(i);for(f=i-1;f>=0;f--){for(e=Array(j),h=a[f],g=j-1;g>=3;--g)e[g]=h*b[g],--g,e[g]=h*b[g],--g,e[g]=h*b[g],--g,e[g]=h*b[g];for(;g>=0;)e[g]=h*b[g],--g;k[f]=e}return k},numeric.T=function(a,b){this.x=a,this.y=b},numeric.t=function(a,b){return new numeric.T(a,b)},numeric.Tbinop=function(a,b,c,d,e){numeric.indexOf;if("string"!=typeof e){var f;e="";for(f in numeric)numeric.hasOwnProperty(f)&&(a.indexOf(f)>=0||b.indexOf(f)>=0||c.indexOf(f)>=0||d.indexOf(f)>=0)&&f.length>1&&(e+="var "+f+" = numeric."+f+";\n")}return Function(["y"],"var x = this;\nif(!(y instanceof numeric.T)) { y = new numeric.T(y); }\n"+e+"\nif(x.y) { if(y.y) { return new numeric.T("+d+");\n }\n return new numeric.T("+c+");\n}\nif(y.y) {\n return new numeric.T("+b+");\n}\nreturn new numeric.T("+a+");\n")},numeric.T.prototype.add=numeric.Tbinop("add(x.x,y.x)","add(x.x,y.x),y.y","add(x.x,y.x),x.y","add(x.x,y.x),add(x.y,y.y)"),numeric.T.prototype.sub=numeric.Tbinop("sub(x.x,y.x)","sub(x.x,y.x),neg(y.y)","sub(x.x,y.x),x.y","sub(x.x,y.x),sub(x.y,y.y)"),numeric.T.prototype.mul=numeric.Tbinop("mul(x.x,y.x)","mul(x.x,y.x),mul(x.x,y.y)","mul(x.x,y.x),mul(x.y,y.x)","sub(mul(x.x,y.x),mul(x.y,y.y)),add(mul(x.x,y.y),mul(x.y,y.x))"),numeric.T.prototype.reciprocal=function(){var a=numeric.mul,b=numeric.div;if(this.y){var c=numeric.add(a(this.x,this.x),a(this.y,this.y));return new numeric.T(b(this.x,c),b(numeric.neg(this.y),c))}return new T(b(1,this.x))},numeric.T.prototype.div=function g(a){if(a instanceof numeric.T||(a=new numeric.T(a)),a.y)return this.mul(a.reciprocal());var g=numeric.div;return this.y?new numeric.T(g(this.x,a.x),g(this.y,a.x)):new numeric.T(g(this.x,a.x))},numeric.T.prototype.dot=numeric.Tbinop("dot(x.x,y.x)","dot(x.x,y.x),dot(x.x,y.y)","dot(x.x,y.x),dot(x.y,y.x)","sub(dot(x.x,y.x),dot(x.y,y.y)),add(dot(x.x,y.y),dot(x.y,y.x))"),numeric.T.prototype.transpose=function(){var a=numeric.transpose,b=this.x,c=this.y;return c?new numeric.T(a(b),a(c)):new numeric.T(a(b))},numeric.T.prototype.transjugate=function(){var a=numeric.transpose,b=this.x,c=this.y;return c?new numeric.T(a(b),numeric.negtranspose(c)):new numeric.T(a(b))},numeric.Tunop=function(a,b,c){return"string"!=typeof c&&(c=""),Function("var x = this;\n"+c+"\nif(x.y) { "+b+";\n}\n"+a+";\n")},numeric.T.prototype.exp=numeric.Tunop("return new numeric.T(ex)","return new numeric.T(mul(cos(x.y),ex),mul(sin(x.y),ex))","var ex = numeric.exp(x.x), cos = numeric.cos, sin = numeric.sin, mul = numeric.mul;"),numeric.T.prototype.conj=numeric.Tunop("return new numeric.T(x.x);","return new numeric.T(x.x,numeric.neg(x.y));"),numeric.T.prototype.neg=numeric.Tunop("return new numeric.T(neg(x.x));","return new numeric.T(neg(x.x),neg(x.y));","var neg = numeric.neg;"),numeric.T.prototype.sin=numeric.Tunop("return new numeric.T(numeric.sin(x.x))","return x.exp().sub(x.neg().exp()).div(new numeric.T(0,2));"),numeric.T.prototype.cos=numeric.Tunop("return new numeric.T(numeric.cos(x.x))","return x.exp().add(x.neg().exp()).div(2);"),numeric.T.prototype.abs=numeric.Tunop("return new numeric.T(numeric.abs(x.x));","return new numeric.T(numeric.sqrt(numeric.add(mul(x.x,x.x),mul(x.y,x.y))));","var mul = numeric.mul;"),numeric.T.prototype.log=numeric.Tunop("return new numeric.T(numeric.log(x.x));","var theta = new numeric.T(numeric.atan2(x.y,x.x)), r = x.abs();\nreturn new numeric.T(numeric.log(r.x),theta.x);"),numeric.T.prototype.norm2=numeric.Tunop("return numeric.norm2(x.x);","var f = numeric.norm2Squared;\nreturn Math.sqrt(f(x.x)+f(x.y));"),numeric.T.prototype.inv=function(){var a=this;if("undefined"==typeof a.y)return new numeric.T(numeric.inv(a.x));var b,c,d,e,f,g,h,i,j,k,l,b,c,d,m,n,o,p,q,r,s,t=a.x.length,u=numeric.identity(t),v=numeric.rep([t,t],0),w=numeric.clone(a.x),x=numeric.clone(a.y);for(b=0;t>b;b++){for(o=w[b][b],p=x[b][b],m=o*o+p*p,d=b,c=b+1;t>c;c++)o=w[c][b],p=x[c][b],n=o*o+p*p,n>m&&(d=c,m=n);for(d!==b&&(s=w[b],w[b]=w[d],w[d]=s,s=x[b],x[b]=x[d],x[d]=s,s=u[b],u[b]=u[d],u[d]=s,s=v[b],v[b]=v[d],v[d]=s),e=w[b],f=x[b],i=u[b],j=v[b],o=e[b],p=f[b],c=b+1;t>c;c++)q=e[c],r=f[c],e[c]=(q*o+r*p)/m,f[c]=(r*o-q*p)/m;for(c=0;t>c;c++)q=i[c],r=j[c],i[c]=(q*o+r*p)/m,j[c]=(r*o-q*p)/m;for(c=b+1;t>c;c++){for(g=w[c],h=x[c],k=u[c],l=v[c],o=g[b],p=h[b],d=b+1;t>d;d++)q=e[d],r=f[d],g[d]-=q*o-r*p,h[d]-=r*o+q*p;for(d=0;t>d;d++)q=i[d],r=j[d],k[d]-=q*o-r*p,l[d]-=r*o+q*p}}for(b=t-1;b>0;b--)for(i=u[b],j=v[b],c=b-1;c>=0;c--)for(k=u[c],l=v[c],o=w[c][b],p=x[c][b],d=t-1;d>=0;d--)q=i[d],r=j[d],k[d]-=o*q-p*r,l[d]-=o*r+p*q;return new numeric.T(u,v)},numeric.T.prototype.get=function(a){var b,c=this.x,d=this.y,e=0,f=a.length;if(d){for(;f>e;)b=a[e],c=c[b],d=d[b],e++;return new numeric.T(c,d)}for(;f>e;)b=a[e],c=c[b],e++;return new numeric.T(c)},numeric.T.prototype.set=function(a,b){var c,d=this.x,e=this.y,f=0,g=a.length,h=b.x,i=b.y;if(0===g)return i?this.y=i:e&&(this.y=void 0),this.x=d,this;if(i){for(e||(e=numeric.rep(numeric.dim(d),0),this.y=e);g-1>f;)c=a[f],d=d[c],e=e[c],f++;return c=a[f],d[c]=h,e[c]=i,this}if(e){for(;g-1>f;)c=a[f],d=d[c],e=e[c],f++;return c=a[f],d[c]=h,e[c]=h instanceof Array?numeric.rep(numeric.dim(h),0):0,this}for(;g-1>f;)c=a[f],d=d[c],f++;return c=a[f],d[c]=h,this},numeric.T.prototype.getRows=function(a,b){var c,d,e=b-a+1,f=Array(e),g=this.x,h=this.y;for(c=a;b>=c;c++)f[c-a]=g[c];if(h){for(d=Array(e),c=a;b>=c;c++)d[c-a]=h[c];return new numeric.T(f,d)}return new numeric.T(f)},numeric.T.prototype.setRows=function(a,b,c){var d,e=this.x,f=this.y,g=c.x,h=c.y;for(d=a;b>=d;d++)e[d]=g[d-a];if(h)for(f||(f=numeric.rep(numeric.dim(e),0),this.y=f),d=a;b>=d;d++)f[d]=h[d-a];else if(f)for(d=a;b>=d;d++)f[d]=numeric.rep([g[d-a].length],0);return this},numeric.T.prototype.getRow=function(a){var b=this.x,c=this.y;return c?new numeric.T(b[a],c[a]):new numeric.T(b[a])},numeric.T.prototype.setRow=function(a,b){var c=this.x,d=this.y,e=b.x,f=b.y;return c[a]=e,f?(d||(d=numeric.rep(numeric.dim(c),0),this.y=d),d[a]=f):d&&(d=numeric.rep([e.length],0)),this},numeric.T.prototype.getBlock=function(a,b){var c=this.x,d=this.y,e=numeric.getBlock;return d?new numeric.T(e(c,a,b),e(d,a,b)):new numeric.T(e(c,a,b))},numeric.T.prototype.setBlock=function(a,b,c){c instanceof numeric.T||(c=new numeric.T(c));var d=this.x,e=this.y,f=numeric.setBlock,g=c.x,h=c.y;return h?(e||(this.y=numeric.rep(numeric.dim(this),0),e=this.y),f(d,a,b,g),f(e,a,b,h),this):(f(d,a,b,g),void(e&&f(e,a,b,numeric.rep(numeric.dim(g),0))))},numeric.T.rep=function(a,b){var c=numeric.T;b instanceof c||(b=new c(b));var d=b.x,e=b.y,f=numeric.rep;return e?new c(f(a,d),f(a,e)):new c(f(a,d))},numeric.T.diag=function h(a){a instanceof numeric.T||(a=new numeric.T(a));var b=a.x,c=a.y,h=numeric.diag;return c?new numeric.T(h(b),h(c)):new numeric.T(h(b))},numeric.T.eig=function(){if(this.y)throw new Error("eig: not implemented for complex matrices.");return numeric.eig(this.x)},numeric.T.identity=function(a){return new numeric.T(numeric.identity(a))},numeric.T.prototype.getDiag=function(){var a=numeric,b=this.x,c=this.y;return c?new a.T(a.getDiag(b),a.getDiag(c)):new a.T(a.getDiag(b))},numeric.house=function(a){var b=numeric.clone(a),c=a[0]>=0?1:-1,d=c*numeric.norm2(a);b[0]+=d;var e=numeric.norm2(b);if(0===e)throw new Error("eig: internal error");return numeric.div(b,e)},numeric.toUpperHessenberg=function(a){var b=numeric.dim(a);if(2!==b.length||b[0]!==b[1])throw new Error("numeric: toUpperHessenberg() only works on square matrices");var c,d,e,f,g,h,i,j,k,l,m=b[0],n=numeric.clone(a),o=numeric.identity(m);for(d=0;m-2>d;d++){for(f=Array(m-d-1),c=d+1;m>c;c++)f[c-d-1]=n[c][d];if(numeric.norm2(f)>0){for(g=numeric.house(f),h=numeric.getBlock(n,[d+1,d],[m-1,m-1]),i=numeric.tensor(g,numeric.dot(g,h)),c=d+1;m>c;c++)for(j=n[c],k=i[c-d-1],e=d;m>e;e++)j[e]-=2*k[e-d];for(h=numeric.getBlock(n,[0,d+1],[m-1,m-1]),i=numeric.tensor(numeric.dot(h,g),g),c=0;m>c;c++)for(j=n[c],k=i[c],e=d+1;m>e;e++)j[e]-=2*k[e-d-1];for(h=Array(m-d-1),c=d+1;m>c;c++)h[c-d-1]=o[c];for(i=numeric.tensor(g,numeric.dot(g,h)),c=d+1;m>c;c++)for(l=o[c],k=i[c-d-1],e=0;m>e;e++)l[e]-=2*k[e]}}return{H:n,Q:o}},numeric.epsilon=2.220446049250313e-16,numeric.QRFrancis=function(a,b){"undefined"==typeof b&&(b=1e4),a=numeric.clone(a);var c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u=(numeric.clone(a),numeric.dim(a)),v=u[0],w=numeric.identity(v);if(3>v)return{Q:w,B:[[0,v-1]]};var x=numeric.epsilon;for(t=0;b>t;t++){for(r=0;v-1>r;r++)if(Math.abs(a[r+1][r])<x*(Math.abs(a[r][r])+Math.abs(a[r+1][r+1]))){var y=numeric.QRFrancis(numeric.getBlock(a,[0,0],[r,r]),b),z=numeric.QRFrancis(numeric.getBlock(a,[r+1,r+1],[v-1,v-1]),b);for(n=Array(r+1),q=0;r>=q;q++)n[q]=w[q];for(o=numeric.dot(y.Q,n),q=0;r>=q;q++)w[q]=o[q];for(n=Array(v-r-1),q=r+1;v>q;q++)n[q-r-1]=w[q];for(o=numeric.dot(z.Q,n),q=r+1;v>q;q++)w[q]=o[q-r-1];return{Q:w,B:y.B.concat(numeric.add(z.B,r+1))}}if(e=a[v-2][v-2],f=a[v-2][v-1],g=a[v-1][v-2],h=a[v-1][v-1],j=e+h,i=e*h-f*g,k=numeric.getBlock(a,[0,0],[2,2]),j*j>=4*i){var A,B;A=.5*(j+Math.sqrt(j*j-4*i)),B=.5*(j-Math.sqrt(j*j-4*i)),k=numeric.add(numeric.sub(numeric.dot(k,k),numeric.mul(k,A+B)),numeric.diag(numeric.rep([3],A*B)))}else k=numeric.add(numeric.sub(numeric.dot(k,k),numeric.mul(k,j)),numeric.diag(numeric.rep([3],i)));for(c=[k[0][0],k[1][0],k[2][0]],d=numeric.house(c),n=[a[0],a[1],a[2]],o=numeric.tensor(d,numeric.dot(d,n)),q=0;3>q;q++)for(m=a[q],p=o[q],s=0;v>s;s++)m[s]-=2*p[s];for(n=numeric.getBlock(a,[0,0],[v-1,2]),o=numeric.tensor(numeric.dot(n,d),d),q=0;v>q;q++)for(m=a[q],p=o[q],s=0;3>s;s++)m[s]-=2*p[s];for(n=[w[0],w[1],w[2]],o=numeric.tensor(d,numeric.dot(d,n)),q=0;3>q;q++)for(l=w[q],p=o[q],s=0;v>s;s++)l[s]-=2*p[s];var C;for(r=0;v-2>r;r++){for(s=r;r+1>=s;s++)if(Math.abs(a[s+1][s])<x*(Math.abs(a[s][s])+Math.abs(a[s+1][s+1]))){var y=numeric.QRFrancis(numeric.getBlock(a,[0,0],[s,s]),b),z=numeric.QRFrancis(numeric.getBlock(a,[s+1,s+1],[v-1,v-1]),b);for(n=Array(s+1),q=0;s>=q;q++)n[q]=w[q];for(o=numeric.dot(y.Q,n),q=0;s>=q;q++)w[q]=o[q];for(n=Array(v-s-1),q=s+1;v>q;q++)n[q-s-1]=w[q];for(o=numeric.dot(z.Q,n),q=s+1;v>q;q++)w[q]=o[q-s-1];return{Q:w,B:y.B.concat(numeric.add(z.B,s+1))}}for(C=Math.min(v-1,r+3),c=Array(C-r),q=r+1;C>=q;q++)c[q-r-1]=a[q][r];for(d=numeric.house(c),n=numeric.getBlock(a,[r+1,r],[C,v-1]),o=numeric.tensor(d,numeric.dot(d,n)),q=r+1;C>=q;q++)for(m=a[q],p=o[q-r-1],s=r;v>s;s++)m[s]-=2*p[s-r];for(n=numeric.getBlock(a,[0,r+1],[v-1,C]),o=numeric.tensor(numeric.dot(n,d),d),q=0;v>q;q++)for(m=a[q],p=o[q],s=r+1;C>=s;s++)m[s]-=2*p[s-r-1];for(n=Array(C-r),q=r+1;C>=q;q++)n[q-r-1]=w[q];for(o=numeric.tensor(d,numeric.dot(d,n)),q=r+1;C>=q;q++)for(l=w[q],p=o[q-r-1],s=0;v>s;s++)l[s]-=2*p[s]}}throw new Error("numeric: eigenvalue iteration does not converge -- increase maxiter?")},numeric.eig=function(a,b){var c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t=numeric.toUpperHessenberg(a),u=numeric.QRFrancis(t.H,b),v=numeric.T,w=a.length,x=u.B,y=numeric.dot(u.Q,numeric.dot(t.H,numeric.transpose(u.Q))),z=new v(numeric.dot(u.Q,t.Q)),A=x.length,B=Math.sqrt;for(d=0;A>d;d++)if(c=x[d][0],c===x[d][1]);else{if(f=c+1,g=y[c][c],h=y[c][f],i=y[f][c],j=y[f][f],0===h&&0===i)continue;k=-g-j,l=g*j-h*i,m=k*k-4*l,m>=0?(n=0>k?-.5*(k-B(m)):-.5*(k+B(m)),r=(g-n)*(g-n)+h*h,s=i*i+(j-n)*(j-n),r>s?(r=B(r),p=(g-n)/r,q=h/r):(s=B(s),p=i/s,q=(j-n)/s),e=new v([[q,-p],[p,q]]),z.setRows(c,f,e.dot(z.getRows(c,f)))):(n=-.5*k,o=.5*B(-m),r=(g-n)*(g-n)+h*h,s=i*i+(j-n)*(j-n),r>s?(r=B(r+o*o),p=(g-n)/r,q=h/r,n=0,o/=r):(s=B(s+o*o),p=i/s,q=(j-n)/s,n=o/s,o=0),e=new v([[q,-p],[p,q]],[[n,o],[o,-n]]),z.setRows(c,f,e.dot(z.getRows(c,f))))
}var C=z.dot(a).dot(z.transjugate()),w=a.length,D=numeric.T.identity(w);for(f=0;w>f;f++)if(f>0)for(d=f-1;d>=0;d--){var E=C.get([d,d]),F=C.get([f,f]);numeric.neq(E.x,F.x)||numeric.neq(E.y,F.y)?(n=C.getRow(d).getBlock([d],[f-1]),o=D.getRow(f).getBlock([d],[f-1]),D.set([f,d],C.get([d,f]).neg().sub(n.dot(o)).div(E.sub(F)))):D.setRow(f,D.getRow(d))}for(f=0;w>f;f++)n=D.getRow(f),D.setRow(f,n.div(n.norm2()));return D=D.transpose(),D=z.transjugate().dot(D),{lambda:C.getDiag(),E:D}},numeric.ccsSparse=function(a){var b,c,d,e,f=a.length,g=[];for(d=f-1;-1!==d;--d){c=a[d];for(e in c){for(e=parseInt(e);e>=g.length;)g[g.length]=0;0!==c[e]&&g[e]++}}var b=g.length,h=Array(b+1);for(h[0]=0,d=0;b>d;++d)h[d+1]=h[d]+g[d];var i=Array(h[b]),j=Array(h[b]);for(d=f-1;-1!==d;--d){c=a[d];for(e in c)0!==c[e]&&(g[e]--,i[h[e]+g[e]]=d,j[h[e]+g[e]]=c[e])}return[h,i,j]},numeric.ccsFull=function(a){var b,c,d,e,f=a[0],g=a[1],h=a[2],i=numeric.ccsDim(a),j=i[0],k=i[1],l=numeric.rep([j,k],0);for(b=0;k>b;b++)for(d=f[b],e=f[b+1],c=d;e>c;++c)l[g[c]][b]=h[c];return l},numeric.ccsTSolve=function(a,b,c,d,e){function f(a){var b;if(0===c[a]){for(c[a]=1,b=g[a];b<g[a+1];++b)f(h[b]);e[l]=a,++l}}var g=a[0],h=a[1],i=a[2],j=g.length-1,k=Math.max,l=0;"undefined"==typeof d&&(c=numeric.rep([j],0)),"undefined"==typeof d&&(d=numeric.linspace(0,c.length-1)),"undefined"==typeof e&&(e=[]);var m,n,o,p,q,r,s;for(m=d.length-1;-1!==m;--m)f(d[m]);for(e.length=l,m=e.length-1;-1!==m;--m)c[e[m]]=0;for(m=d.length-1;-1!==m;--m)n=d[m],c[n]=b[n];for(m=e.length-1;-1!==m;--m){for(n=e[m],o=g[n],p=k(g[n+1],o),q=o;q!==p;++q)if(h[q]===n){c[n]/=i[q];break}for(s=c[n],q=o;q!==p;++q)r=h[q],r!==n&&(c[r]-=s*i[q])}return c},numeric.ccsDFS=function(a){this.k=Array(a),this.k1=Array(a),this.j=Array(a)},numeric.ccsDFS.prototype.dfs=function(a,b,c,d,e,f){var g,h,i,j=0,k=e.length,l=this.k,m=this.k1,n=this.j;if(0===d[a])for(d[a]=1,n[0]=a,l[0]=h=b[a],m[0]=i=b[a+1];;)if(h>=i){if(e[k]=n[j],0===j)return;++k,--j,h=l[j],i=m[j]}else g=f[c[h]],0===d[g]?(d[g]=1,l[j]=h,++j,n[j]=g,h=b[g],m[j]=i=b[g+1]):++h},numeric.ccsLPSolve=function(a,b,c,d,e,f,g){var h,i,j,k,l,m,n,o,p,q=a[0],r=a[1],s=a[2],t=(q.length-1,b[0]),u=b[1],v=b[2];for(i=t[e],j=t[e+1],d.length=0,h=i;j>h;++h)g.dfs(f[u[h]],q,r,c,d,f);for(h=d.length-1;-1!==h;--h)c[d[h]]=0;for(h=i;h!==j;++h)k=f[u[h]],c[k]=v[h];for(h=d.length-1;-1!==h;--h){for(k=d[h],l=q[k],m=q[k+1],n=l;m>n;++n)if(f[r[n]]===k){c[k]/=s[n];break}for(p=c[k],n=l;m>n;++n)o=f[r[n]],o!==k&&(c[o]-=p*s[n])}return c},numeric.ccsLUP1=function(a,b){var c,d,e,f,g,h,i,j=a[0].length-1,k=[numeric.rep([j+1],0),[],[]],l=[numeric.rep([j+1],0),[],[]],m=k[0],n=k[1],o=k[2],p=l[0],q=l[1],r=l[2],s=numeric.rep([j],0),t=numeric.rep([j],0),u=numeric.ccsLPSolve,v=(Math.max,Math.abs),w=numeric.linspace(0,j-1),x=numeric.linspace(0,j-1),y=new numeric.ccsDFS(j);for("undefined"==typeof b&&(b=1),c=0;j>c;++c){for(u(k,a,s,t,c,x,y),f=-1,g=-1,d=t.length-1;-1!==d;--d)e=t[d],c>=e||(h=v(s[e]),h>f&&(g=e,f=h));for(v(s[c])<b*f&&(d=w[c],f=w[g],w[c]=f,x[f]=c,w[g]=d,x[d]=g,f=s[c],s[c]=s[g],s[g]=f),f=m[c],g=p[c],i=s[c],n[f]=w[c],o[f]=1,++f,d=t.length-1;-1!==d;--d)e=t[d],h=s[e],t[d]=0,s[e]=0,c>=e?(q[g]=e,r[g]=h,++g):(n[f]=w[e],o[f]=h/i,++f);m[c+1]=f,p[c+1]=g}for(d=n.length-1;-1!==d;--d)n[d]=x[n[d]];return{L:k,U:l,P:w,Pinv:x}},numeric.ccsDFS0=function(a){this.k=Array(a),this.k1=Array(a),this.j=Array(a)},numeric.ccsDFS0.prototype.dfs=function(a,b,c,d,e,f){var g,h,i,j=0,k=e.length,l=this.k,m=this.k1,n=this.j;if(0===d[a])for(d[a]=1,n[0]=a,l[0]=h=b[f[a]],m[0]=i=b[f[a]+1];;){if(isNaN(h))throw new Error("Ow!");if(h>=i){if(e[k]=f[n[j]],0===j)return;++k,--j,h=l[j],i=m[j]}else g=c[h],0===d[g]?(d[g]=1,l[j]=h,++j,n[j]=g,g=f[g],h=b[g],m[j]=i=b[g+1]):++h}},numeric.ccsLPSolve0=function(a,b,c,d,e,f,g,h){var i,j,k,l,m,n,o,p,q,r=a[0],s=a[1],t=a[2],u=(r.length-1,b[0]),v=b[1],w=b[2];for(j=u[e],k=u[e+1],d.length=0,i=j;k>i;++i)h.dfs(v[i],r,s,c,d,f,g);for(i=d.length-1;-1!==i;--i)l=d[i],c[g[l]]=0;for(i=j;i!==k;++i)l=v[i],c[l]=w[i];for(i=d.length-1;-1!==i;--i){for(l=d[i],p=g[l],m=r[l],n=r[l+1],o=m;n>o;++o)if(s[o]===p){c[p]/=t[o];break}for(q=c[p],o=m;n>o;++o)c[s[o]]-=q*t[o];c[p]=q}},numeric.ccsLUP0=function(a,b){var c,d,e,f,g,h,i,j=a[0].length-1,k=[numeric.rep([j+1],0),[],[]],l=[numeric.rep([j+1],0),[],[]],m=k[0],n=k[1],o=k[2],p=l[0],q=l[1],r=l[2],s=numeric.rep([j],0),t=numeric.rep([j],0),u=numeric.ccsLPSolve0,v=(Math.max,Math.abs),w=numeric.linspace(0,j-1),x=numeric.linspace(0,j-1),y=new numeric.ccsDFS0(j);for("undefined"==typeof b&&(b=1),c=0;j>c;++c){for(u(k,a,s,t,c,x,w,y),f=-1,g=-1,d=t.length-1;-1!==d;--d)e=t[d],c>=e||(h=v(s[w[e]]),h>f&&(g=e,f=h));for(v(s[w[c]])<b*f&&(d=w[c],f=w[g],w[c]=f,x[f]=c,w[g]=d,x[d]=g),f=m[c],g=p[c],i=s[w[c]],n[f]=w[c],o[f]=1,++f,d=t.length-1;-1!==d;--d)e=t[d],h=s[w[e]],t[d]=0,s[w[e]]=0,c>=e?(q[g]=e,r[g]=h,++g):(n[f]=w[e],o[f]=h/i,++f);m[c+1]=f,p[c+1]=g}for(d=n.length-1;-1!==d;--d)n[d]=x[n[d]];return{L:k,U:l,P:w,Pinv:x}},numeric.ccsLUP=numeric.ccsLUP0,numeric.ccsDim=function(a){return[numeric.sup(a[1])+1,a[0].length-1]},numeric.ccsGetBlock=function(a,b,c){var d=numeric.ccsDim(a),e=d[0],f=d[1];"undefined"==typeof b?b=numeric.linspace(0,e-1):"number"==typeof b&&(b=[b]),"undefined"==typeof c?c=numeric.linspace(0,f-1):"number"==typeof c&&(c=[c]);var g,h,i,j,k,l=b.length,m=c.length,n=numeric.rep([f],0),o=[],p=[],q=[n,o,p],r=a[0],s=a[1],t=a[2],u=numeric.rep([e],0),v=0,w=numeric.rep([e],0);for(h=0;m>h;++h){j=c[h];var x=r[j],y=r[j+1];for(g=x;y>g;++g)i=s[g],w[i]=1,u[i]=t[g];for(g=0;l>g;++g)k=b[g],w[k]&&(o[v]=g,p[v]=u[b[g]],++v);for(g=x;y>g;++g)i=s[g],w[i]=0;n[h+1]=v}return q},numeric.ccsDot=function(a,b){var c,d,e,f,g,h,i,j,k,l,m,n=a[0],o=a[1],p=a[2],q=b[0],r=b[1],s=b[2],t=numeric.ccsDim(a),u=numeric.ccsDim(b),v=t[0],w=(t[1],u[1]),x=numeric.rep([v],0),y=numeric.rep([v],0),z=Array(v),A=numeric.rep([w],0),B=[],C=[],D=[A,B,C];for(e=0;e!==w;++e){for(f=q[e],g=q[e+1],k=0,d=f;g>d;++d)for(l=r[d],m=s[d],h=n[l],i=n[l+1],c=h;i>c;++c)j=o[c],0===y[j]&&(z[k]=j,y[j]=1,k+=1),x[j]=x[j]+p[c]*m;for(f=A[e],g=f+k,A[e+1]=g,d=k-1;-1!==d;--d)m=f+d,c=z[d],B[m]=c,C[m]=x[c],y[c]=0,x[c]=0;A[e+1]=A[e]+k}return D},numeric.ccsLUPSolve=function(a,b){var c=a.L,d=a.U,e=(a.P,b[0]),f=!1;"object"!=typeof e&&(b=[[0,b.length],numeric.linspace(0,b.length-1),b],e=b[0],f=!0);var g,h,i,j,k,l,m=b[1],n=b[2],o=c[0].length-1,p=e.length-1,q=numeric.rep([o],0),r=Array(o),s=numeric.rep([o],0),t=Array(o),u=numeric.rep([p+1],0),v=[],w=[],x=numeric.ccsTSolve,y=0;for(g=0;p>g;++g){for(k=0,i=e[g],j=e[g+1],h=i;j>h;++h)l=a.Pinv[m[h]],t[k]=l,s[l]=n[h],++k;for(t.length=k,x(c,s,q,t,r),h=t.length-1;-1!==h;--h)s[t[h]]=0;if(x(d,q,s,r,t),f)return s;for(h=r.length-1;-1!==h;--h)q[r[h]]=0;for(h=t.length-1;-1!==h;--h)l=t[h],v[y]=l,w[y]=s[l],s[l]=0,++y;u[g+1]=y}return[u,v,w]},numeric.ccsbinop=function(a,b){return"undefined"==typeof b&&(b=""),Function("X","Y","var Xi = X[0], Xj = X[1], Xv = X[2];\nvar Yi = Y[0], Yj = Y[1], Yv = Y[2];\nvar n = Xi.length-1,m = Math.max(numeric.sup(Xj),numeric.sup(Yj))+1;\nvar Zi = numeric.rep([n+1],0), Zj = [], Zv = [];\nvar x = numeric.rep([m],0),y = numeric.rep([m],0);\nvar xk,yk,zk;\nvar i,j,j0,j1,k,p=0;\n"+b+"for(i=0;i<n;++i) {\n j0 = Xi[i]; j1 = Xi[i+1];\n for(j=j0;j!==j1;++j) {\n k = Xj[j];\n x[k] = 1;\n Zj[p] = k;\n ++p;\n }\n j0 = Yi[i]; j1 = Yi[i+1];\n for(j=j0;j!==j1;++j) {\n k = Yj[j];\n y[k] = Yv[j];\n if(x[k] === 0) {\n Zj[p] = k;\n ++p;\n }\n }\n Zi[i+1] = p;\n j0 = Xi[i]; j1 = Xi[i+1];\n for(j=j0;j!==j1;++j) x[Xj[j]] = Xv[j];\n j0 = Zi[i]; j1 = Zi[i+1];\n for(j=j0;j!==j1;++j) {\n k = Zj[j];\n xk = x[k];\n yk = y[k];\n"+a+"\n Zv[j] = zk;\n }\n j0 = Xi[i]; j1 = Xi[i+1];\n for(j=j0;j!==j1;++j) x[Xj[j]] = 0;\n j0 = Yi[i]; j1 = Yi[i+1];\n for(j=j0;j!==j1;++j) y[Yj[j]] = 0;\n}\nreturn [Zi,Zj,Zv];")},function(){var k,A,B,C;for(k in numeric.ops2)A=isFinite(eval("1"+numeric.ops2[k]+"0"))?"[Y[0],Y[1],numeric."+k+"(X,Y[2])]":"NaN",B=isFinite(eval("0"+numeric.ops2[k]+"1"))?"[X[0],X[1],numeric."+k+"(X[2],Y)]":"NaN",C=isFinite(eval("1"+numeric.ops2[k]+"0"))&&isFinite(eval("0"+numeric.ops2[k]+"1"))?"numeric.ccs"+k+"MM(X,Y)":"NaN",numeric["ccs"+k+"MM"]=numeric.ccsbinop("zk = xk "+numeric.ops2[k]+"yk;"),numeric["ccs"+k]=Function("X","Y",'if(typeof X === "number") return '+A+';\nif(typeof Y === "number") return '+B+";\nreturn "+C+";\n")}(),numeric.ccsScatter=function(a){var b,c=a[0],d=a[1],e=a[2],f=numeric.sup(d)+1,g=c.length,h=numeric.rep([f],0),i=Array(g),j=Array(g),k=numeric.rep([f],0);for(b=0;g>b;++b)k[d[b]]++;for(b=0;f>b;++b)h[b+1]=h[b]+k[b];var l,m,n=h.slice(0);for(b=0;g>b;++b)m=d[b],l=n[m],i[l]=c[b],j[l]=e[b],n[m]=n[m]+1;return[h,i,j]},numeric.ccsGather=function(a){var b,c,d,e,f,g=a[0],h=a[1],i=a[2],j=g.length-1,k=h.length,l=Array(k),m=Array(k),n=Array(k);for(f=0,b=0;j>b;++b)for(d=g[b],e=g[b+1],c=d;c!==e;++c)m[f]=b,l[f]=h[c],n[f]=i[c],++f;return[l,m,n]},numeric.sdim=function i(a,b,c){if("undefined"==typeof b&&(b=[]),"object"!=typeof a)return b;"undefined"==typeof c&&(c=0),c in b||(b[c]=0),a.length>b[c]&&(b[c]=a.length);var d;for(d in a)a.hasOwnProperty(d)&&i(a[d],b,c+1);return b},numeric.sclone=function j(a,b,c){"undefined"==typeof b&&(b=0),"undefined"==typeof c&&(c=numeric.sdim(a).length);var d,e=Array(a.length);if(b===c-1){for(d in a)a.hasOwnProperty(d)&&(e[d]=a[d]);return e}for(d in a)a.hasOwnProperty(d)&&(e[d]=j(a[d],b+1,c));return e},numeric.sdiag=function(a){var b,c,d=a.length,e=Array(d);for(b=d-1;b>=1;b-=2)c=b-1,e[b]=[],e[b][b]=a[b],e[c]=[],e[c][c]=a[c];return 0===b&&(e[0]=[],e[0][0]=a[b]),e},numeric.sidentity=function(a){return numeric.sdiag(numeric.rep([a],1))},numeric.stranspose=function(a){{var b,c,d,e=[];a.length}for(b in a)if(a.hasOwnProperty(b)){d=a[b];for(c in d)d.hasOwnProperty(c)&&("object"!=typeof e[c]&&(e[c]=[]),e[c][b]=d[c])}return e},numeric.sLUP=function(){throw new Error("The function numeric.sLUP had a bug in it and has been removed. Please use the new numeric.ccsLUP function instead.")},numeric.sdotMM=function(a,b){var c,d,e,f,g,h,i,j=a.length,k=(b.length,numeric.stranspose(b)),l=k.length,m=Array(j);for(e=j-1;e>=0;e--){for(i=[],c=a[e],g=l-1;g>=0;g--){h=0,d=k[g];for(f in c)c.hasOwnProperty(f)&&f in d&&(h+=c[f]*d[f]);h&&(i[g]=h)}m[e]=i}return m},numeric.sdotMV=function(a,b){var c,d,e,f,g=a.length,h=Array(g);for(d=g-1;d>=0;d--){c=a[d],f=0;for(e in c)c.hasOwnProperty(e)&&b[e]&&(f+=c[e]*b[e]);f&&(h[d]=f)}return h},numeric.sdotVM=function(a,b){var c,d,e,f,g=[];for(c in a)if(a.hasOwnProperty(c)){e=b[c],f=a[c];for(d in e)e.hasOwnProperty(d)&&(g[d]||(g[d]=0),g[d]+=f*e[d])}return g},numeric.sdotVV=function(a,b){var c,d=0;for(c in a)a[c]&&b[c]&&(d+=a[c]*b[c]);return d},numeric.sdot=function(a,b){var c=numeric.sdim(a).length,d=numeric.sdim(b).length,e=1e3*c+d;switch(e){case 0:return a*b;case 1001:return numeric.sdotVV(a,b);case 2001:return numeric.sdotMV(a,b);case 1002:return numeric.sdotVM(a,b);case 2002:return numeric.sdotMM(a,b);default:throw new Error("numeric.sdot not implemented for tensors of order "+c+" and "+d)}},numeric.sscatter=function(a){var b,c,d,e,f=a[0].length,g=a.length,h=[];for(c=f-1;c>=0;--c)if(a[g-1][c]){for(e=h,d=0;g-2>d;d++)b=a[d][c],e[b]||(e[b]=[]),e=e[b];e[a[d][c]]=a[d+1][c]}return h},numeric.sgather=function k(a,b,c){"undefined"==typeof b&&(b=[]),"undefined"==typeof c&&(c=[]);var d,e,f;d=c.length;for(e in a)if(a.hasOwnProperty(e))if(c[d]=parseInt(e),f=a[e],"number"==typeof f){if(f){if(0===b.length)for(e=d+1;e>=0;--e)b[e]=[];for(e=d;e>=0;--e)b[e].push(c[e]);b[d+1].push(f)}}else k(f,b,c);return c.length>d&&c.pop(),b},numeric.cLU=function(a){var b,c,d,e,f,g,h=a[0],i=a[1],j=a[2],k=h.length,l=0;for(b=0;k>b;b++)h[b]>l&&(l=h[b]);l++;var m,n,o,p=Array(l),q=Array(l),r=numeric.rep([l],1/0),s=numeric.rep([l],-1/0);for(d=0;k>d;d++)b=h[d],c=i[d],c<r[b]&&(r[b]=c),c>s[b]&&(s[b]=c);for(b=0;l-1>b;b++)s[b]>s[b+1]&&(s[b+1]=s[b]);for(b=l-1;b>=1;b--)r[b]<r[b-1]&&(r[b-1]=r[b]);var t=0,u=0;for(b=0;l>b;b++)q[b]=numeric.rep([s[b]-r[b]+1],0),p[b]=numeric.rep([b-r[b]],0),t+=b-r[b]+1,u+=s[b]-b+1;for(d=0;k>d;d++)b=h[d],q[b][i[d]-r[b]]=j[d];for(b=0;l-1>b;b++)for(e=b-r[b],m=q[b],c=b+1;r[c]<=b&&l>c;c++)if(f=b-r[c],g=s[b]-b,n=q[c],o=n[f]/m[e]){for(d=1;g>=d;d++)n[d+f]-=o*m[d+e];p[c][b-r[c]]=o}var k,v,w,m=[],n=[],x=[],y=[],z=[],A=[];for(k=0,v=0,b=0;l>b;b++){for(e=r[b],f=s[b],w=q[b],c=b;f>=c;c++)w[c-e]&&(m[k]=b,n[k]=c,x[k]=w[c-e],k++);for(w=p[b],c=e;b>c;c++)w[c-e]&&(y[v]=b,z[v]=c,A[v]=w[c-e],v++);y[v]=b,z[v]=b,A[v]=1,v++}return{U:[m,n,x],L:[y,z,A]}},numeric.cLUsolve=function(a,b){var c,d,e=a.L,f=a.U,g=numeric.clone(b),h=e[0],i=e[1],j=e[2],k=f[0],l=f[1],m=f[2],n=k.length,o=(h.length,g.length);for(d=0,c=0;o>c;c++){for(;i[d]<c;)g[c]-=j[d]*g[i[d]],d++;d++}for(d=n-1,c=o-1;c>=0;c--){for(;l[d]>c;)g[c]-=m[d]*g[l[d]],d--;g[c]/=m[d],d--}return g},numeric.cgrid=function(a,b){"number"==typeof a&&(a=[a,a]);var c,d,e,f=numeric.rep(a,-1);if("function"!=typeof b)switch(b){case"L":b=function(b,c){return b>=a[0]/2||c<a[1]/2};break;default:b=function(){return!0}}for(e=0,c=1;c<a[0]-1;c++)for(d=1;d<a[1]-1;d++)b(c,d)&&(f[c][d]=e,e++);return f},numeric.cdelsq=function(a){var b,c,d,e,f,g=[[-1,0],[0,-1],[0,1],[1,0]],h=numeric.dim(a),i=h[0],j=h[1],k=[],l=[],m=[];for(b=1;i-1>b;b++)for(c=1;j-1>c;c++)if(!(a[b][c]<0)){for(d=0;4>d;d++)e=b+g[d][0],f=c+g[d][1],a[e][f]<0||(k.push(a[b][c]),l.push(a[e][f]),m.push(-1));k.push(a[b][c]),l.push(a[b][c]),m.push(4)}return[k,l,m]},numeric.cdotMV=function(a,b){var c,d,e,f=a[0],g=a[1],h=a[2],i=f.length;for(e=0,d=0;i>d;d++)f[d]>e&&(e=f[d]);for(e++,c=numeric.rep([e],0),d=0;i>d;d++)c[f[d]]+=h[d]*b[g[d]];return c},numeric.Spline=function(a,b,c,d,e){this.x=a,this.yl=b,this.yr=c,this.kl=d,this.kr=e},numeric.Spline.prototype._at=function(a,b){var a,c,d,e,f=this.x,g=this.yl,h=this.yr,i=this.kl,j=this.kr,k=numeric.add,l=numeric.sub,m=numeric.mul;c=l(m(i[b],f[b+1]-f[b]),l(h[b+1],g[b])),d=k(m(j[b+1],f[b]-f[b+1]),l(h[b+1],g[b])),e=(a-f[b])/(f[b+1]-f[b]);var n=e*(1-e);return k(k(k(m(1-e,g[b]),m(e,h[b+1])),m(c,n*(1-e))),m(d,n*e))},numeric.Spline.prototype.at=function(a){if("number"==typeof a){var b,c,d,e=this.x,f=e.length,g=Math.floor;for(b=0,c=f-1;c-b>1;)d=g((b+c)/2),e[d]<=a?b=d:c=d;return this._at(a,b)}var h,f=a.length,i=Array(f);for(h=f-1;-1!==h;--h)i[h]=this.at(a[h]);return i},numeric.Spline.prototype.diff=function(){var a,b,c,d=this.x,e=this.yl,f=this.yr,g=this.kl,h=this.kr,i=e.length,j=g,k=h,l=Array(i),m=Array(i),n=numeric.add,o=numeric.mul,p=numeric.div,q=numeric.sub;for(a=i-1;-1!==a;--a)b=d[a+1]-d[a],c=q(f[a+1],e[a]),l[a]=p(n(o(c,6),o(g[a],-4*b),o(h[a+1],-2*b)),b*b),m[a+1]=p(n(o(c,-6),o(g[a],2*b),o(h[a+1],4*b)),b*b);return new numeric.Spline(d,j,k,l,m)},numeric.Spline.prototype.roots=function(){function a(a){return a*a}var b=[],c=this.x,d=this.yl,e=this.yr,f=this.kl,g=this.kr;"number"==typeof d[0]&&(d=[d],e=[e],f=[f],g=[g]);var h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,A,B,C,D,E,F=d.length,G=c.length-1,b=Array(F),H=Math.sqrt;for(h=0;h!==F;++h){for(k=d[h],l=e[h],m=f[h],n=g[h],o=[],i=0;i!==G;i++){for(i>0&&l[i]*k[i]<0&&o.push(c[i]),w=c[i+1]-c[i],x=c[i],r=k[i],s=l[i+1],p=m[i]/w,q=n[i+1]/w,v=a(p-q+3*(r-s))+12*q*r,t=q+3*r+2*p-3*s,u=3*(q+p+2*(r-s)),0>=v?(z=t/u,y=z>c[i]&&z<c[i+1]?[c[i],z,c[i+1]]:[c[i],c[i+1]]):(z=(t-H(v))/u,A=(t+H(v))/u,y=[c[i]],z>c[i]&&z<c[i+1]&&y.push(z),A>c[i]&&A<c[i+1]&&y.push(A),y.push(c[i+1])),C=y[0],z=this._at(C,i),j=0;j<y.length-1;j++)if(D=y[j+1],A=this._at(D,i),0!==z)if(0===A||z*A>0)C=D,z=A;else{for(var I=0;;){if(E=(z*D-A*C)/(z-A),C>=E||E>=D)break;if(B=this._at(E,i),B*A>0)D=E,A=B,-1===I&&(z*=.5),I=-1;else{if(!(B*z>0))break;C=E,z=B,1===I&&(A*=.5),I=1}}o.push(E),C=y[j+1],z=this._at(C,i)}else o.push(C),C=D,z=A;0===A&&o.push(D)}b[h]=o}return"number"==typeof this.yl[0]?b[0]:b},numeric.spline=function(a,b,c,d){var e,f=a.length,g=[],h=[],i=[],j=numeric.sub,k=numeric.mul,l=numeric.add;for(e=f-2;e>=0;e--)h[e]=a[e+1]-a[e],i[e]=j(b[e+1],b[e]);("string"==typeof c||"string"==typeof d)&&(c=d="periodic");var m=[[],[],[]];switch(typeof c){case"undefined":g[0]=k(3/(h[0]*h[0]),i[0]),m[0].push(0,0),m[1].push(0,1),m[2].push(2/h[0],1/h[0]);break;case"string":g[0]=l(k(3/(h[f-2]*h[f-2]),i[f-2]),k(3/(h[0]*h[0]),i[0])),m[0].push(0,0,0),m[1].push(f-2,0,1),m[2].push(1/h[f-2],2/h[f-2]+2/h[0],1/h[0]);break;default:g[0]=c,m[0].push(0),m[1].push(0),m[2].push(1)}for(e=1;f-1>e;e++)g[e]=l(k(3/(h[e-1]*h[e-1]),i[e-1]),k(3/(h[e]*h[e]),i[e])),m[0].push(e,e,e),m[1].push(e-1,e,e+1),m[2].push(1/h[e-1],2/h[e-1]+2/h[e],1/h[e]);switch(typeof d){case"undefined":g[f-1]=k(3/(h[f-2]*h[f-2]),i[f-2]),m[0].push(f-1,f-1),m[1].push(f-2,f-1),m[2].push(1/h[f-2],2/h[f-2]);break;case"string":m[1][m[1].length-1]=0;break;default:g[f-1]=d,m[0].push(f-1),m[1].push(f-1),m[2].push(1)}g="number"!=typeof g[0]?numeric.transpose(g):[g];var n=Array(g.length);if("string"==typeof c)for(e=n.length-1;-1!==e;--e)n[e]=numeric.ccsLUPSolve(numeric.ccsLUP(numeric.ccsScatter(m)),g[e]),n[e][f-1]=n[e][0];else for(e=n.length-1;-1!==e;--e)n[e]=numeric.cLUsolve(numeric.cLU(m),g[e]);return n="number"==typeof b[0]?n[0]:numeric.transpose(n),new numeric.Spline(a,b,b,n,n)},numeric.fftpow2=function l(a,b){var c=a.length;if(1!==c){var d,e,f=Math.cos,g=Math.sin,h=Array(c/2),i=Array(c/2),j=Array(c/2),k=Array(c/2);for(e=c/2,d=c-1;-1!==d;--d)--e,j[e]=a[d],k[e]=b[d],--d,h[e]=a[d],i[e]=b[d];l(h,i),l(j,k),e=c/2;var m,n,o,p=-6.283185307179586/c;for(d=c-1;-1!==d;--d)--e,-1===e&&(e=c/2-1),m=p*d,n=f(m),o=g(m),a[d]=h[e]+n*j[e]-o*k[e],b[d]=i[e]+n*k[e]+o*j[e]}},numeric._ifftpow2=function m(a,b){var c=a.length;if(1!==c){var d,e,f=Math.cos,g=Math.sin,h=Array(c/2),i=Array(c/2),j=Array(c/2),k=Array(c/2);for(e=c/2,d=c-1;-1!==d;--d)--e,j[e]=a[d],k[e]=b[d],--d,h[e]=a[d],i[e]=b[d];m(h,i),m(j,k),e=c/2;var l,n,o,p=6.283185307179586/c;for(d=c-1;-1!==d;--d)--e,-1===e&&(e=c/2-1),l=p*d,n=f(l),o=g(l),a[d]=h[e]+n*j[e]-o*k[e],b[d]=i[e]+n*k[e]+o*j[e]}},numeric.ifftpow2=function(a,b){numeric._ifftpow2(a,b),numeric.diveq(a,a.length),numeric.diveq(b,b.length)},numeric.convpow2=function(a,b,c,d){numeric.fftpow2(a,b),numeric.fftpow2(c,d);var e,f,g,h,i,j=a.length;for(e=j-1;-1!==e;--e)f=a[e],h=b[e],g=c[e],i=d[e],a[e]=f*g-h*i,b[e]=f*i+h*g;numeric.ifftpow2(a,b)},numeric.T.prototype.fft=function(){{var a,b,c=this.x,d=this.y,e=c.length,f=Math.log,g=f(2),h=Math.ceil(f(2*e-1)/g),i=Math.pow(2,h),j=numeric.rep([i],0),k=numeric.rep([i],0),l=Math.cos,m=Math.sin,n=-3.141592653589793/e,o=numeric.rep([i],0),p=numeric.rep([i],0);Math.floor(e/2)}for(a=0;e>a;a++)o[a]=c[a];if("undefined"!=typeof d)for(a=0;e>a;a++)p[a]=d[a];for(j[0]=1,a=1;i/2>=a;a++)b=n*a*a,j[a]=l(b),k[a]=m(b),j[i-a]=l(b),k[i-a]=m(b);var q=new numeric.T(o,p),r=new numeric.T(j,k);return q=q.mul(r),numeric.convpow2(q.x,q.y,numeric.clone(r.x),numeric.neg(r.y)),q=q.mul(r),q.x.length=e,q.y.length=e,q},numeric.T.prototype.ifft=function(){{var a,b,c=this.x,d=this.y,e=c.length,f=Math.log,g=f(2),h=Math.ceil(f(2*e-1)/g),i=Math.pow(2,h),j=numeric.rep([i],0),k=numeric.rep([i],0),l=Math.cos,m=Math.sin,n=3.141592653589793/e,o=numeric.rep([i],0),p=numeric.rep([i],0);Math.floor(e/2)}for(a=0;e>a;a++)o[a]=c[a];if("undefined"!=typeof d)for(a=0;e>a;a++)p[a]=d[a];for(j[0]=1,a=1;i/2>=a;a++)b=n*a*a,j[a]=l(b),k[a]=m(b),j[i-a]=l(b),k[i-a]=m(b);var q=new numeric.T(o,p),r=new numeric.T(j,k);return q=q.mul(r),numeric.convpow2(q.x,q.y,numeric.clone(r.x),numeric.neg(r.y)),q=q.mul(r),q.x.length=e,q.y.length=e,q.div(e)},numeric.gradient=function(a,b){var c=b.length,d=a(b);if(isNaN(d))throw new Error("gradient: f(x) is a NaN!");var e,f,g,h,i,j,k,l,m,n,o=Math.max,p=numeric.clone(b),q=Array(c),o=(numeric.div,numeric.sub,Math.max),r=.001,s=Math.abs,t=Math.min,u=0;for(e=0;c>e;e++)for(var v=o(1e-6*d,1e-8);;){if(++u,u>20)throw new Error("Numerical gradient fails");if(p[e]=b[e]+v,f=a(p),p[e]=b[e]-v,g=a(p),p[e]=b[e],isNaN(f)||isNaN(g))v/=16;else{if(q[e]=(f-g)/(2*v),i=b[e]-v,j=b[e],k=b[e]+v,l=(f-d)/v,m=(d-g)/v,n=o(s(q[e]),s(d),s(f),s(g),s(i),s(j),s(k),1e-8),h=t(o(s(l-q[e]),s(m-q[e]),s(l-m))/n,v/n),!(h>r))break;v/=16}}return q},numeric.uncmin=function(a,b,c,d,e,f,g){var h=numeric.gradient;"undefined"==typeof g&&(g={}),"undefined"==typeof c&&(c=1e-8),"undefined"==typeof d&&(d=function(b){return h(a,b)}),"undefined"==typeof e&&(e=1e3),b=numeric.clone(b);var i,j,k=b.length,l=a(b);if(isNaN(l))throw new Error("uncmin: f(x0) is a NaN!");var m=Math.max,n=numeric.norm2;c=m(c,numeric.epsilon);var o,p,q,r,s,t,u,v,w,x,y=g.Hinv||numeric.identity(k),z=numeric.dot,A=(numeric.inv,numeric.sub),B=numeric.add,C=numeric.tensor,D=numeric.div,E=numeric.mul,F=numeric.all,G=numeric.isFinite,H=numeric.neg,I=0,J="";for(p=d(b);e>I;){if("function"==typeof f&&f(I,b,l,p,y)){J="Callback returned true";break}if(!F(G(p))){J="Gradient has Infinity or NaN";break}if(o=H(z(y,p)),!F(G(o))){J="Search direction has Infinity or NaN";break}if(x=n(o),c>x){J="Newton step smaller than tol";break}for(w=1,j=z(p,o),s=b;e>I&&!(c>w*x)&&(r=E(o,w),s=B(b,r),i=a(s),i-l>=.1*w*j||isNaN(i));)w*=.5,++I;if(c>w*x){J="Line search step size smaller than tol";break}if(I===e){J="maxit reached during line 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h,i,j,k,l=numeric.sum,m=(numeric.log,numeric.mul),n=numeric.sub,o=numeric.dot,p=numeric.div,q=numeric.add,r=a.length,s=c.length,t=!1,u=0,v=1,w=(numeric.transpose(b),numeric.svd,numeric.transpose),x=(numeric.leq,Math.sqrt),y=Math.abs,z=(numeric.muleq,numeric.norminf,numeric.any,Math.min),A=numeric.all,B=numeric.gt,C=Array(r),D=Array(s),E=(numeric.rep([s],1),numeric.solve),F=n(c,o(b,f)),G=o(a,a);for(j=u;e>j;++j){var H,I;for(H=s-1;-1!==H;--H)D[H]=p(b[H],F[H]);var J=w(D);for(H=r-1;-1!==H;--H)C[H]=l(J[H]);v=.25*y(G/o(a,C));var K=100*x(G/o(C,C));for((!isFinite(v)||v>K)&&(v=K),k=q(a,m(v,C)),i=o(J,D),H=r-1;-1!==H;--H)i[H][H]+=1;I=E(i,p(k,v),!0);var L=p(F,o(b,I)),M=1;for(H=s-1;-1!==H;--H)L[H]<0&&(M=z(M,-.999*L[H]));if(h=n(f,m(I,M)),F=n(c,o(b,h)),!A(B(F,0)))return{solution:f,message:"",iterations:j};if(f=h,d>v)return{solution:h,message:"",iterations:j};if(g){var N=o(a,k),O=o(b,k);for(t=!0,H=s-1;-1!==H;--H)if(N*O[H]<0){t=!1;break}}else 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h,i=d.length,j=d[0].length,k=b.length,l=numeric.echelonize(d),m=numeric.rep([j],0),n=l.P,o=[];for(h=n.length-1;-1!==h;--h)m[n[h]]=1;for(h=j-1;-1!==h;--h)0===m[h]&&o.push(h);var p=numeric.getRange,q=numeric.linspace(0,i-1),r=numeric.linspace(0,k-1),s=p(d,q,o),t=p(b,r,n),u=p(b,r,o),v=numeric.dot,w=numeric.sub,x=v(t,l.I),y=w(u,v(x,s)),z=w(c,v(x,e)),A=Array(n.length),B=Array(o.length);for(h=n.length-1;-1!==h;--h)A[h]=a[n[h]];for(h=o.length-1;-1!==h;--h)B[h]=a[o[h]];var C=w(B,v(A,v(l.I,s))),D=numeric._solveLP(C,y,z,f,g),E=D.solution;if(E!==E)return D;var F=v(l.I,w(e,v(s,E))),G=Array(a.length);for(h=n.length-1;-1!==h;--h)G[n[h]]=F[h];for(h=o.length-1;-1!==h;--h)G[o[h]]=E[h];return{solution:G,message:D.message,iterations:D.iterations}},numeric.MPStoLP=function(a){function b(b){throw new Error("MPStoLP: "+b+"\nLine "+c+": "+a[c]+"\nCurrent state: "+h[g]+"\n")}a instanceof String&&a.split("\n");var c,d,e,f,g=0,h=["Initial 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