clmtrackr.min.js

"use strict";function mosseFilter(e){var t,n,r,i,s,o,u,a,f,l;this.psr_prev=undefined,this.peak_prev=undefined;var c=0,h=!1;e||(e={});if(e.drawResponse===undefined)e.drawResponse=!1;else if(e.drawResponse.tagName!="CANVAS")e.drawResponse=!1;else var p=e.drawResponse.getContext("2d");e.psrThreshold===undefined&&(e.psrThreshold=10),e.eta===undefined&&(e.eta=.1),e.convertToGrayscale===undefined&&(e.convertToGrayscale=!0),this.load=function(e){s=e.width,o=e.height,a=s*o,t=[e.real,e.imag],e.top&&e.bottom&&(h=!0,n=[e.top.real,e.top.imag],r=[e.bottom.real,e.bottom.imag]),i=new FFT,i.init(e.width),typeof Float64Array!="undefined"?(u=new Float64Array(a),l=new Float64Array(a)):(u=new Array(a),l=new Array(a));var c=document.createElement("canvas");c.setAttribute("width",s),c.setAttribute("height",o),f=c.getContext("2d")},this.init=function(e,l){s=e,o=l,a=s*o,t=[[],[]],n=[[],[]],r=[[],[]];for(var c=0;c<a;c++)t[0][c]=0,t[1][c]=0,n[0][c]=0,n[1][c]=0,r[0][c]=0,r[1][c]=0;h=!0,i=new FFT,i.init(e),typeof Float64Array!="undefined"?u=new Float64Array(a):u=new Array(a);var p=document.createElement("canvas");p.setAttribute("width",s),p.setAttribute("height",o),f=p.getContext("2d")},this.fft=function(e){var t=new Array(a);for(var n=0;n<a;n++)t[n]=0;return i.fft2d(e,t),[e,t]},this.fft_inplace=function(e){for(var t=0;t<a;t++)u[t]=0;return i.fft2d(e,u),[e,u]},this.ifft=function(e,t){return i.ifft2d(e,t),e},this.psr=function(e){var t=0,n=0,r=[],i=0,u;for(var a=0;a<s;a++)for(var f=0;f<o;f++)u=e[f*s+a],t+=u,i+=u*u,n<u&&(n=u,r=[a,f]);for(var a=-5;a<6;a++)for(var f=-5;f<6;f++)Math.sqrt(a*a+f*f)<5&&(u=e[(r[1]+f)*s+(r[0]+a)],i-=u*u,t-=u);var l=t/e.length,c=Math.sqrt(i/e.length-l*l),h=(n-l)/c;return h},this.getResponse=function(e){var n=d(e);n=v(n);var r=this.fft_inplace(n);g(r,t);var i=this.ifft(r[0],r[1]);return i},this.track=function(i,u,c,g,w,E,S,x){if(!t)return console.log("Mosse-filter needs to be initialized or trained before starting tracking."),!1;if(i.tagName=="VIDEO"||i.tagName=="IMG"){var T=Math.round(u/i.width*i.videoWidth),N=Math.round(c/i.height*i.videoHeight),C=Math.round(g/i.width*i.videoWidth),k=Math.round(w/i.height*i.videoHeight);f.drawImage(i,T,N,C,k,0,0,s,o)}else i.tagName=="CANVAS"&&f.drawImage(i,u,c,g,w,0,0,s,o);var L=f.getImageData(0,0,s,o),A=L.data;if(e.convertToGrayscale)for(var O=0;O<a;O++)l[O]=A[4*O]*.3,l[O]+=A[4*O+1]*.59,l[O]+=A[4*O+2]*.11;else for(var O=0;O<a;O++)l[O]=A[4*O];var M=d(l);M=v(M);var _=this.fft_inplace(M),D=m(_,t),P=this.ifft(D[0],D[1]),H=0,B=0,j=[];if(S){var F,I,q,R=128;for(var U=0;U<s;U++)for(var z=0;z<o;z++)I=U-s/2,q=z-o/2,F=Math.exp(-0.5*(I*I+q*q)/R),P[z*s+U]*F>H&&(H=P[z*s+U]*F,j=[U,z]),P[z*s+U]<B&&(B=P[z*s+U])}else for(var U=0;U<s;U++)for(var z=0;z<o;z++)P[z*s+U]>H&&(H=P[z*s+U],j=[U,z]),P[z*s+U]<B&&(B=P[z*s+U]);this.peak_prev=H;if(e.drawResponse){var W=H-B,X=document.createElement("canvas");X.setAttribute("width",32),X.setAttribute("height",32);var V=X.getContext("2d"),$=V.createImageData(32,32),J=$.data;for(var K=0;K<1024;K++){var Q=P[K];Q=Math.round((Q+Math.abs(B))*(255/W)),J[K*4]=Q,J[K*4+1]=Q,J[K*4+2]=Q,J[K*4+3]=255}V.putImageData($,0,0),p.drawImage(X,u,c,g,g)}x&&(this.psr_prev=this.psr(P));if(E)if(!h)console.log("The loaded filter does not support updating. Ignoring parameter 'updateFilter'.");else{if(x)var G=this.psr_prev;else var G=this.psr(P);if(G>e.psrThreshold){var Y=[],Z=j[0],et=j[1];for(var U=0;U<s;U++)for(var z=0;z<o;z++)Y[z*s+U]=Math.exp(-((U-Z)*(U-Z)+(z-et)*(z-et))/4);Y=this.fft(Y);var tt=y(_),nt=m(Y,tt),rt=m(_,tt),it=e.eta;for(var O=0;O<a;O++)n[0][O]=it*nt[0][O]+(1-it)*n[0][O],n[1][O]=it*nt[1][O]+(1-it)*n[1][O],r[0][O]=it*rt[0][O]+(1-it)*r[0][O],r[1][O]=it*rt[1][O]+(1-it)*r[1][O];t=b(n,r)}}return j[0]=j[0]*(g/s),j[1]=j[1]*(g/o),H<0?!1:j},this.train=function(i,u,c,p,g){if(!h)return console.log("The loaded filter does not support updating. Unable to do training."),!1;if(i.tagName=="VIDEO"||i.tagName=="IMG"){var w=Math.round(u/i.width*i.videoWidth),E=Math.round(c/i.height*i.videoHeight),S=Math.round(p/i.width*i.videoWidth),x=Math.round(g/i.height*i.videoHeight);f.drawImage(i,w,E,S,x,0,0,s,o)}else i.tagName=="CANVAS"&&f.drawImage(i,u,c,p,g,0,0,s,o);var T=f.getImageData(0,0,s,o),N=T.data;for(var C=0;C<a;C++)l[C]=N[4*C]*.3,l[C]+=N[4*C+1]*.59,l[C]+=N[4*C+2]*.11;var k=d(l);k=v(k);var L=[],A=s/2,O=o/2;for(var M=0;M<s;M++)for(var _=0;_<o;_++)L[_*s+M]=Math.exp(-((M-A)*(M-A)+(_-O)*(_-O))/4);L=this.fft(L);var D=this.fft(k),P=y(D),H=m(L,P),B=m(D,P),j=e.eta;for(var C=0;C<a;C++)n[0][C]=j*H[0][C]+(1-j)*n[0][C],n[1][C]=j*H[1][C]+(1-j)*n[1][C],r[0][C]=j*B[0][C]+(1-j)*r[0][C],r[1][C]=j*B[1][C]+(1-j)*r[1][C];return t=b(n,r),!0};var d=function(e){for(var t=0;t<a;t++)e[t]=Math.log(e[t]+1);var n=0;for(var t=0;t<a;t++)n+=e[t];n/=a;for(var t=0;t<a;t++)e[t]-=n;var r=0;for(var t=0;t<a;t++)r+=e[t]*e[t];r=Math.sqrt(r);for(var t=0;t<a;t++)e[t]/=r;return e},v=function(e){var t=0;for(var n=0;n<s;n++)for(var r=0;r<o;r++){var i=Math.sin(Math.PI*n/(s-1)),u=Math.sin(Math.PI*r/(o-1));e[t]=Math.min(i,u)*e[t],t++}return e},m=function(e,t){var n=new Array(s),r=new Array(s),i=[n,r];for(var o=0;o<a;o++)i[0][o]=e[0][o]*t[0][o]-e[1][o]*t[1][o],i[1][o]=e[0][o]*t[1][o]+e[1][o]*t[0][o];return i},g=function(e,t){var n,r;for(var i=0;i<a;i++)n=e[0][i]*t[0][i]-e[1][i]*t[1][i],r=e[0][i]*t[1][i]+e[1][i]*t[0][i],e[0][i]=n,e[1][i]=r},y=function(e){var t=[[],[]];for(var n=0;n<a;n++)t[0][n]=e[0][n],t[1][n]=-e[1][n];return t},b=function(e,t){var n=[[],[]];for(var r=0;r<a;r++)n[0][r]=(e[0][r]*t[0][r]+e[1][r]*t[1][r])/(t[0][r]*t[0][r]+t[1][r]*t[1][r]),n[1][r]=(e[1][r]*t[0][r]-e[0][r]*t[1][r])/(t[0][r]*t[0][r]+t[1][r]*t[1][r]);return n}}function FFT(){function s(r,i,s){var o,u,a,f,l,c,h,p,d,v=e>>2;for(var m=0;m<e;m++)f=t[m],m<f&&(l=r[m],r[m]=r[f],r[f]=l,l=i[m],i[m]=i[f],i[f]=l);for(var g=1;g<e;g<<=1){u=0,o=e/(g<<1);for(var y=0;y<g;y++){c=n[u+v],h=s*n[u];for(var b=y;b<e;b+=g<<1)a=b+g,p=c*r[a]+h*i[a],d=c*i[a]-h*r[a],r[a]=r[b]-p,r[b]+=p,i[a]=i[b]-d,i[b]+=d;u+=o}}}function o(){typeof Uint8Array!="undefined"?t=new Uint8Array(e):t=new Array(e),typeof Float64Array!="undefined"?(n=new Float64Array(e*1.25),r=new Float64Array(e*e),i=new Float64Array(e*e)):(n=new Array(e*1.25),r=new Array(e*e),i=new Array(e*e))}function u(){var n=0,r=0,i=0;t[0]=0;while(++n<e){i=e>>1;while(i<=r)r-=i,i>>=1;r+=i,t[n]=r}}function a(){var t=e>>1,r=e>>2,i=e>>3,s=t+r,o=Math.sin(Math.PI/e),u=2*o*o,a=Math.sqrt(u*(2-u)),f=n[r]=1,l=n[0]=0;o=2*u;for(var c=1;c<i;c++)f-=u,u+=o*f,l+=a,a-=o*l,n[c]=l,n[r-c]=f;i!==0&&(n[i]=Math.sqrt(.5));for(var h=0;h<r;h++)n[t-h]=n[h];for(var p=0;p<s;p++)n[p+t]=-n[p]}var e=0,t=null,n=null,r,i;this.init=function(t){if(t===0||(t&t-1)!==0)throw new Error("init: radix-2 required");e=t,o(),u(),a()},this.fft1d=function(e,t){s(e,t,1)},this.ifft1d=function(t,n){var r=1/e;s(t,n,-1);for(var i=0;i<e;i++)t[i]*=r,n[i]*=r},this.fft2d=function(t,n){var s=0;for(var o=0;o<e;o++){s=o*e;for(var u=0;u<e;u++)r[u]=t[u+s],i[u]=n[u+s];this.fft1d(r,i);for(var a=0;a<e;a++)t[a+s]=r[a],n[a+s]=i[a]}for(var f=0;f<e;f++){for(var l=0;l<e;l++)s=f+l*e,r[l]=t[s],i[l]=n[s];this.fft1d(r,i);for(var c=0;c<e;c++)s=f+c*e,t[s]=r[c],n[s]=i[c]}},this.ifft2d=function(t,n){var s=0;for(var o=0;o<e;o++){s=o*e;for(var u=0;u<e;u++)r[u]=t[u+s],i[u]=n[u+s];this.ifft1d(r,i);for(var a=0;a<e;a++)t[a+s]=r[a],n[a+s]=i[a]}for(var f=0;f<e;f++){for(var l=0;l<e;l++)s=f+l*e,r[l]=t[s],i[l]=n[s];this.ifft1d(r,i);for(var c=0;c<e;c++)s=f+c*e,t[s]=r[c],n[s]=i[c]}}}var clm={tracker:function(e){function Ct(e,t,n){var i,s,o,u,a;i=t*2,s=E[i/2][0],o=E[i/2][1];for(var f=0;f<r;f++)s+=d.shapeModel.eigenVectors[i][f]*n[f+4],o+=d.shapeModel.eigenVectors[i+1][f]*n[f+4];u=n[0]*s-n[1]*o+n[2],a=n[0]*o+n[1]*s+n[3],s+=u,o+=a,e.beginPath(),e.arc(s,o,1,0,Math.PI*2,!0),e.closePath(),e.fill()}function kt(e,t){var n=[],r=[];for(var i=0;i<e.length;i++)n[i]=[e[i][0],e[i][1]];for(var i=0;i<t.length;i++)r[i]=[t[i][0],t[i][1]];t=r,e=n;var s=[0,0];for(var i=0;i<e.length;i++)s[0]+=e[i][0],s[1]+=e[i][1];s[0]/=e.length,s[1]/=e.length;var o=[0,0];for(var i=0;i<t.length;i++)o[0]+=t[i][0],o[1]+=t[i][1];o[0]/=t.length,o[1]/=t.length;var u=s[0]-o[0],a=s[1]-o[1];for(var i=0;i<t.length;i++)t[i][0]-=o[0],t[i][1]-=o[1];for(var i=0;i<e.length;i++)e[i][0]-=s[0],e[i][1]-=s[1];var f=0;for(var i=0;i<t.length;i++)f+=t[i][0]*t[i][0],f+=t[i][1]*t[i][1];f=Math.sqrt(f/t.length);var l=0;for(var i=0;i<e.length;i++)l+=e[i][0]*e[i][0],l+=e[i][1]*e[i][1];l=Math.sqrt(l/e.length);var c=l/f;for(var i=0;i<t.length;i++)t[i][0]*=c,t[i][1]*=c;var h=0,p=0;for(var i=0;i<t.length;i++)h+=t[i][0]*e[i][1]-t[i][1]*e[i][0],p+=t[i][0]*e[i][0]+t[i][1]*e[i][1];var d=Math.atan(h/p);return u+=o[0]-c*Math.cos(-d)*o[0]-c*o[1]*Math.sin(-d),a+=o[1]+c*Math.sin(-d)*o[0]-c*o[1]*Math.cos(-d),[u,a,c,d]}e||(e={}),e.constantVelocity===undefined&&(e.constantVelocity=!0),e.searchWindow===undefined&&(e.searchWindow=11),e.useWebGL===undefined&&(e.useWebGL=!0),e.scoreThreshold===undefined&&(e.scoreThreshold=.3),e.stopOnConvergence===undefined&&(e.stopOnConvergence=!1),e.weightPoints===undefined&&(e.weightPoints=undefined),e.sharpenResponse===undefined&&(e.sharpenResponse=!1);var t,n,r,i,s,o,u,a,f,l,c,h,p,d,v=[],m=[],g=[],y=[],b=[],w=[],E=[],S=[10,5,1],x=.7,T=.1,N=!0,C=.01,k=[],L=1.25,A=[],O,M,_,D,P,H;if(typeof Float64Array!="undefined")var B=new Float64Array(2),j=new Float64Array(2);else var B=new Array(2),j=new Array(2);var F,I,q,R=0,U,z,W,X=document.createElement("canvas"),V=X.getContext("2d"),$,J,K,Q,G,Y,Z,et,tt=[],nt=0,rt,it,st,ot=[0,0],ut=[0,0],at=[0,0],ft,lt,ct,ht,pt,dt,vt,mt=Math.PI/2;this.init=function(h){d=h,i=d.patchModel.patchType,t=d.patchModel.numPatches,n=d.patchModel.patchSize[0],i=="MOSSE"?O=n:O=e.searchWindow,r=d.shapeModel.numEvalues,M=d.patchModel.canvasSize[0],_=d.patchModel.canvasSize[1],c=document.createElement("canvas"),a=c.getContext("2d"),f=c.width=M+(O-1)+n-1,l=c.height=_+(O-1)+n-1,d.hints&&mosseFilter&&left_eye_filter&&right_eye_filter&&nose_filter?(rt=new mosseFilter,rt.load(left_eye_filter),it=new mosseFilter,it.load(right_eye_filter),st=new mosseFilter,st.load(nose_filter)):console.log("MOSSE filters not found, using rough approximation for initialization."),o=numeric.rep([t*2,r],0);for(var m=0;m<t*2;m++)for(var g=0;g<r;g++)o[m][g]=d.shapeModel.eigenVectors[m][g];for(var m=0;m<t;m++)E[m]=[d.shapeModel.meanShape[m][0],d.shapeModel.meanShape[m][1]];K=Q=0,$=J=1e6;for(var m=0;m<t;m++)E[m][0]<$&&($=E[m][0]),E[m][1]<J&&(J=E[m][1]),E[m][0]>K&&(K=E[m][0]),E[m][1]>Q&&(Q=E[m][1]);G=K-$,Y=Q-J,d.scoring&&(Z=new Float64Array(d.scoring.coef),et=d.scoring.bias,X.width=d.scoring.size[0],X.height=d.scoring.size[1]),u=d.shapeModel.eigenValues,p=d.patchModel.weights,s=numeric.rep([r+4,r+4],0);for(var m=0;m<r;m++)d.shapeModel.nonRegularizedVectors.indexOf(m)>=0?s[m+4][m+4]=1e-7:s[m+4][m+4]=1/u[m];for(var m=0;m<r+4;m++)v[m]=0;if(i=="SVM"){var y,w=document.createElement("canvas");if(window.WebGLRenderingContext){y=w.getContext("webgl")||w.getContext("experimental-webgl");if(!y||!y.getExtension("OES_texture_float"))y=null}if(y&&e.useWebGL&&typeof webglFilter!="undefined")U=new webglFilter,U.init(p,t,O+n-1,O+n-1,n,n,!0);else{if(typeof svmFilter=="undefined")throw"Could not initiate filters, please make sure that svmfilter.js or svmfilter_conv_js.js is loaded.";z=new svmFilter,z.init(p,t,n,O)}}else i=="MOSSE"&&(W=new mosseFilterResponses,W.init(p,t,n,n));i=="SVM"?F=I=n+O-1:F=I=O,q=F*I,D=(O-1)/2,H=O*O;if(typeof Float64Array!="undefined"){P=new Float64Array(H);for(var m=0;m<t;m++)b[m]=new Float64Array(q)}else{P=new Array(H);for(var m=0;m<t;m++)b[m]=new Array(q)}for(var m=0;m<t;m++)k[m]=1,A[m]=0;if(e.weightPoints){vt=[];for(var m=0;m<t;m++)m in e.weightPoints?(vt[m*2]=e.weightPoints[m],vt[m*2+1]=e.weightPoints[m]):(vt[m*2]=1,vt[m*2+1]=1);vt=numeric.diag(vt)}},this.start=function(e,t){if(typeof d=="undefined")return console.log("tracker needs to be initalized before starting to track."),!1;typeof pt=="undefined"&&(pt=e,dt=t),ht=At(gt)},this.stop=function(){Ot(ht)},this.track=function(n,c){var h,p,d,w,E=[],x,k,L;if(N){var A=Tt(n,c);if(!A){var M=document.createEvent("Event");return M.initEvent("clmtrackrNotFound",!0,!0),document.dispatchEvent(M),!1}h=A[0],w=A[1],p=A[2],d=A[3],N=!1}else{R+=1;if(e.constantVelocity&&g.length>=2)for(var _=0;_<v.length;_++)v[_]=T*g[1][_]+(1-T)*(2*g[1][_]-g[0][_]);w=mt-Math.atan((v[0]+1)/v[1]),w>mt&&(w-=Math.PI),h=v[1]/Math.sin(w),p=v[2],d=v[3]}a.save(),a.clearRect(0,0,f,l),a.scale(1/h,1/h),a.rotate(-w),a.translate(-p,-d),a.drawImage(n,0,0,n.width,n.height),a.restore();var D=bt(v,!1);if(Z&&R%10==0&&!xt()){N=!0,tt=[];for(var _=0;_<v.length;_++)v[_]=0,g=[];var M=document.createEvent("Event");return M.initEvent("clmtrackrLost",!0,!0),document.dispatchEvent(M),!1}var H,X,V;for(var _=0;_<t;_++){k=D[_][0]-F/2,L=D[_][1]-I/2,x=a.getImageData(Math.round(k),Math.round(L),F,I),H=x.data,X=b[_];for(var $=0;$<q;$++)V=H[$*4]*.3+H[$*4+1]*.59+H[$*4+2]*.11,X[$]=V}if(i=="SVM")if(typeof U!="undefined")var J=U.getResponses(b,!0);else{if(typeof z=="undefined")throw"SVM-filters do not seem to be initiated properly.";var J=z.getResponses(b)}else if(i=="MOSSE")var J=W.getResponses(b);if(e.sharpenResponse)for(var _=0;_<t;_++)for(var $=0;$<J[_].length;$++)J[_][$]=Math.pow(J[_][$],e.sharpenResponse);var K=m,Q,G=[];for(var _=0;_<S.length;_++){Q=yt(v,o);var Y,et;for(var $=0;$<t;$++){Y=K[$][0]-(O-1)*h/2,et=K[$][1]-(O-1)*h/2;var nt=Et(O,m[$],B,P,J,Y,et,$,S[_],h);St(O,j,B,P,nt,Y,et,h),G[$]=[j[0]-m[$][0],j[1]-m[$][1]]}var rt=numeric.rep([t*2,1],0);for(var it=0;it<t;it++)rt[it*2][0]=G[it][0],rt[it*2+1][0]=G[it][1];var st=numeric.mul(s,S[_]);if(e.weightPoints)var ot=numeric.dot(numeric.transpose(Q),numeric.dot(vt,Q));else var ot=numeric.dot(numeric.transpose(Q),Q);var ut=numeric.rep([r+4,1],0);for(var at=0;at<r+4;at++)ut[at][0]=v[at];var ft=numeric.dot(st,ut);if(e.weightPoints)var lt=numeric.dot(numeric.transpose(Q),numeric.dot(vt,rt));else var lt=numeric.dot(numeric.transpose(Q),rt);var ct=numeric.add(st,ot),ht=numeric.sub(ft,lt),pt=numeric.dot(numeric.inv(ct),ht),dt=m;for(var it=0;it<r+4;it++)v[it]-=pt[it];var gt;for(var it=0;it<r;it++)gt=Math.abs(3*Math.sqrt(u[it])),Math.abs(v[it+4])>gt&&(v[it+4]>0?v[it+4]=gt:v[it+4]=-gt);m=bt(v,!0);var wt=0,Nt,Ct;for(var it=0;it<m.length;it++)Nt=m[it][0]-dt[it][0],Ct=m[it][1]-dt[it][1],wt+=Nt*Nt+Ct*Ct;if(wt<C)break}e.constantVelocity&&(g.push(v.slice()),g.splice(0,g.length==3?1:0)),y.splice(0,y.length==10?1:0),y.push(m.slice(0));var M=document.createEvent("Event");M.initEvent("clmtrackrIteration",!0,!0),document.dispatchEvent(M);if(this.getConvergence()<.5){e.stopOnConvergence&&this.stop();var M=document.createEvent("Event");M.initEvent("clmtrackrConverged",!0,!0),document.dispatchEvent(M)}return m},this.reset=function(){N=!0,tt=[];for(var e=0;e<v.length;e++)v[e]=0,g=[];pt=undefined,dt=undefined},this.draw=function(e,t,n){var r;t===undefined?r=v.slice(0):r=t.slice(0);var i=e.getContext("2d");i.fillStyle="rgb(200,200,200)",i.strokeStyle="rgb(130,255,50)";var s;n===undefined?s=d.path.normal:s=d.path[n];for(var o=0;o<s.length;o++)typeof s[o]=="number"?Ct(i,s[o],r):Nt(i,s[o],r)},this.getScore=function(){return nt},this.calculatePositions=function(e){return bt(e,!0)},this.getCurrentPosition=function(){return N?!1:m},this.getCurrentParameters=function(){return v},this.getConvergence=function(){if(y.length<10)return 999999;var e=0,n=0,r=0,i=0;for(var s=0;s<5;s++)for(var o=0;o<t;o++)e+=y[s][o][0],n+=y[s][o][1];e/=5,n/=5;for(var s=5;s<10;s++)for(var o=0;o<t;o++)r+=y[s][o][0],i+=y[s][o][1];r/=5,i/=5;var u=r-e,a=i-n,f=u*u+a*a;return f/=y.length,f};var gt=function(){ht=At(gt);var e=(new Date).getTime();while((new Date).getTime()-e<16){var t=this.track(pt,dt);if(!t)continue}}.bind(this),yt=function(e,n){var i=numeric.rep([2*t,r+4],0),s,o;for(var u=0;u<t;u++){s=E[u][0],o=E[u][1];for(var a=0;a<r;a++)s+=e[a+4]*n[u*2][a],o+=e[a+4]*n[u*2+1][a];i[u*2][0]=s,i[u*2+1][0]=o,s=E[u][1],o=E[u][0];for(var a=0;a<r;a++)s+=e[a+4]*n[u*2+1][a],o+=e[a+4]*n[u*2][a];i[u*2][1]=-s,i[u*2+1][1]=o,i[u*2][2]=1,i[u*2+1][2]=0,i[u*2][3]=0,i[u*2+1][3]=1;for(var f=0;f<r;f++)s=e[0]*n[u*2][f]-e[1]*n[u*2+1][f]+n[u*2][f],o=e[0]*n[u*2+1][f]+e[1]*n[u*2][f]+n[u*2+1][f],i[u*2][f+4]=s,i[u*2+1][f+4]=o}return i},bt=function(e,n){var r,i,s,o,u=e.length,a=[];for(var f=0;f<t;f++){r=E[f][0],i=E[f][1];for(var l=0;l<u-4;l++)r+=d.shapeModel.eigenVectors[f*2][l]*e[l+4],i+=d.shapeModel.eigenVectors[f*2+1][l]*e[l+4];n&&(s=e[0]*r-e[1]*i+e[2],o=e[0]*i+e[1]*r+e[3],r+=s,i+=o),a[f]=[r,i]}return a},wt=function(e){var t=document.createElement("canvas");t.width=e.width,t.height=e.height;var n=t.getContext("2d");n.drawImage(e,0,0,e.width,e.height);var r=ccv.detect_objects(ccv.grayscale(t),ccv.cascade,5,1);if(r.length>0){h=r[0];for(var i=1;i<r.length;i++)r[i].confidence>h.confidence&&(h=r[i]);return h}return!1},Et=function(e,t,n,r,i,s,o,u,a,f){var l=0,c=0,h,p;for(var d=0;d<e;d++){n[1]=o+d*f;for(var v=0;v<e;v++)n[0]=s+v*f,h=t[0]-n[0],p=t[1]-n[1],r[l]=i[u][l]*Math.exp(-0.5*(h*h+p*p)/(a*f)),c+=r[l],l++}return c},St=function(e,t,n,r,i,s,o,u){var a=0,f=0;t[0]=0,t[1]=0;for(var l=0;l<e;l++){n[1]=o+l*u;for(var c=0;c<e;c++)n[0]=s+c*u,f=r[a]/i,t[0]+=f*n[0],t[1]+=f*n[1],a++}},xt=function(){V.drawImage(c,$,J,G,Y,0,0,20,22);var t=V.getImageData(0,0,20,22),n=new Array(440),r=t.data,i=0,s=255;for(var o=0;o<440;o++)n[o]=r[o*4]*.3+r[o*4+1]*.59+r[o*4+2]*.11,n[o]>i&&(i=n[o]),n[o]<s&&(s=n[o]);if(i>0){var u=0,a=V.createImageData(20,22),f=a.data,l=new Array(440),h=1e7,p=-1e7;for(var o=0;o<440;o++)n[o]=(n[o]-s)/(i-s),l[o]=n[o]*Z[o],l[h]<o&&(h=l[o]),l[o]>p&&(p=l[o]);for(var o=0;o<440;o++){var d=255*((l[o]-h)/(p-h));f[o*4]=d,f[o*4+1]=d,f[o*4+2]=d,f[o*4+3]=255}V.putImageData(a,0,0);for(var o=0;o<440;o++)u+=n[o]*-Z[o];u+=et,tt.splice(0,tt.length==5?1:0),tt.push(u);if(tt.length>4){nt=0;for(var o=0;o<5;o++)nt+=tt[o];nt/=5;if(nt<e.scoreThreshold)return!1}}return!0},Tt=function(e,t){var n,r,i,s;if(t)h={x:t[0],y:t[1],width:t[2],height:t[3]};else{var o=wt(e);if(!o)return!1}if(d.hints&&mosseFilter&&left_eye_filter&&right_eye_filter&&nose_filter){var u=h.width*4.5/10,a=h.width*6/10,f=st.track(e,Math.round(h.x+h.width/2-u/2),Math.round(h.y+h.height*(5/8)-u/2),u,u,!1),l=it.track(e,Math.round(h.x+h.width*3/4-a/2),Math.round(h.y+h.height*.4-a/2),a,a,!1),c=rt.track(e,Math.round(h.x+h.width/4-a/2),Math.round(h.y+h.height*.4-a/2),a,a,!1);ot[0]=Math.round(h.x+h.width*3/4-a/2)+l[0],ot[1]=Math.round(h.y+h.height*.4-a/2)+l[1],ut[0]=Math.round(h.x+h.width/4-a/2)+c[0],ut[1]=Math.round(h.y+h.height*.4-a/2)+c[1],at[0]=Math.round(h.x+h.width/2-u/2)+f[0],at[1]=Math.round(h.y+h.height*(5/8)-u/2)+f[1];var p=d.hints.leftEye,g=d.hints.rightEye,y=d.hints.nose,b=kt([ut,ot,at],[p,g,y]);n=b[0],r=b[1],i=b[2],s=b[3],v[0]=i*Math.cos(s)-1,v[1]=i*Math.sin(s),v[2]=n,v[3]=r}else i=h.width/modelheight,n=h.x-xmin*i+.1*h.width,r=h.y-ymin*i+.25*h.height,v[0]=i-1,v[2]=n,v[3]=r;return m=bt(v,!0),[i,s,n,r]},Nt=function(e,t,n){e.beginPath();var i,s,o,u,a;for(var f=0;f<t.length;f++){i=t[f]*2,s=E[i/2][0],o=E[i/2][1];for(var l=0;l<r;l++)s+=d.shapeModel.eigenVectors[i][l]*n[l+4],o+=d.shapeModel.eigenVectors[i+1][l]*n[l+4];u=n[0]*s-n[1]*o+n[2],a=n[0]*o+n[1]*s+n[3],s+=u,o+=a,i==0?e.moveTo(s,o):e.lineTo(s,o)}e.moveTo(0,0),e.closePath(),e.stroke()},Lt=function(e,t,n,r,i,s,o){var u=e.createImageData(n,r),a=u.data;for(var f=0;f<n*r;f++){if(!i)var l=t[f%n+(f/n>>0)*n];else var l=t[f%r*r+(f/r>>0)];l=l>255?255:l,l=l<0?0:l,a[f*4]=l,a[f*4+1]=l,a[f*4+2]=l,a[f*4+3]=255}e.putImageData(u,s,o)},At=function(){return window.requestAnimationFrame||window.webkitRequestAnimationFrame||window.mozRequestAnimationFrame||window.oRequestAnimationFrame||window.msRequestAnimationFrame||function(e,t){return window.setTimeout(e,1e3/60)}}(),Ot=function(){return window.cancelCancelRequestAnimationFrame||window.webkitCancelRequestAnimationFrame||window.mozCancelRequestAnimationFrame||window.oCancelRequestAnimationFrame||window.msCancelRequestAnimationFrame||window.clearTimeout}();return!0}};"use strict";var webglFilter=function(){var e,t,n,r,i,s,o,u,a,f,l,c,h,p,d=!0,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A,O,M,_,D;this.init=function(p,d,v,m,g,P,H){if(g!=P){alert("filter width and height must be same size!");return}if(g%2==0||P%2==0){alert("filters used in svm must be of odd dimensions!");return}n=g,r=P,i=v,s=m,o=d,I=["precision mediump float;","","uniform vec2 u_onePixelFilters;","uniform vec2 u_onePixelPatches;","const float u_filterwidth = "+n.toFixed(1)+";","const float u_filterheight = "+r.toFixed(1)+";","const float u_halffilterwidth = "+((n-1)/2).toFixed(1)+";","const float u_halffilterheight = "+((r-1)/2).toFixed(1)+";","const float u_filtersize = "+n*r+".0;","const float u_divfiltersize = "+(1/(n*r)).toFixed(10)+";","","// 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 value = vec4(0.0, 0.0, 0.0, 0.0);","  for (float w = 0.0;w < u_filterwidth;w++) {","    for (float h = 0.0;h < u_filterheight;h++) {","      value = texture2D(u_patches, v_texCoord + u_onePixelPatches * vec2(w-u_halffilterwidth, h-u_halffilterheight));","      maxn = max(value, maxn);","      minn = min(value, minn);","    } ","  }","  scale = maxn-minn;","  for (float w = 0.0;w < u_filterwidth;w++) {","    for (float h = 0.0;h < u_filterheight;h++) {","      colorSum += ","        ((texture2D(u_patches, v_texCoord + u_onePixelPatches * vec2(w-u_halffilterwidth, h-u_halffilterheight))-minn)/(scale)) * ","        texture2D(u_filters, v_texCoordFilters + u_onePixelFilters * vec2(w-u_halffilterwidth, h-u_halffilterheight)); ","    } ","  }","  // logistic transformation","  colorSum = 1.0/(1.0 + exp(- (colorSum-1.0) ));","  gl_FragColor 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K=loadShader(e,F,e.VERTEX_SHADER),Q=loadShader(e,I,e.FRAGMENT_SHADER);f=createProgram(e,[K,Q]),e.useProgram(f);var $=e.getUniformLocation(f,"u_resolution");e.uniform2f($,u,a);var G=e.getUniformLocation(f,"u_patchHeight");e.uniform1f(G,1/h);var Y=e.getUniformLocation(f,"u_filterHeight");e.uniform1f(Y,1/h);var Z=e.getUniformLocation(f,"u_midpoint");e.uniform2f(Z,.5,1/(h*2));var et=e.getUniformLocation(f,"u_onePixelPatches");e.uniform2f(et,1/i,1/(s*h));var tt=e.getUniformLocation(f,"u_onePixelFilters");e.uniform2f(tt,1/n,1/(r*h));var nt=e.getAttribLocation(f,"a_position");S=e.createBuffer(),e.bindBuffer(e.ARRAY_BUFFER,S),e.bufferData(e.ARRAY_BUFFER,B,e.STATIC_DRAW),e.enableVertexAttribArray(nt),e.vertexAttribPointer(nt,2,e.FLOAT,!1,0,0),E=e.getAttribLocation(f,"a_texCoord"),w=e.createBuffer(),e.bindBuffer(e.ARRAY_BUFFER,w),e.bufferData(e.ARRAY_BUFFER,W,e.STATIC_DRAW),e.enableVertexAttribArray(E),e.vertexAttribPointer(E,2,e.FLOAT,!1,0,0);var rt=n*r,it=new Float32Array(rt*h*4);for(var z=0;z<h;z++)for(var st=0;st<r;st++)for(var ot=0;ot<n;ot++)z*4<p.length?it[(rt*z+st*n+ot)*4]=p[z*4][st*n+ot]:it[(rt*z+st*n+ot)*4]=0,z*4+1<p.length?it[(rt*z+st*n+ot)*4+1]=p[z*4+1][st*n+ot]:it[(rt*z+st*n+ot)*4+1]=0,z*4+2<p.length?it[(rt*z+st*n+ot)*4+2]=p[z*4+2][st*n+ot]:it[(rt*z+st*n+ot)*4+2]=0,z*4+3<p.length?it[(rt*z+st*n+ot)*4+3]=p[z*4+3][st*n+ot]:it[(rt*z+st*n+ot)*4+3]=0;e.activeTexture(e.TEXTURE0),b=e.createTexture(),e.bindTexture(e.TEXTURE_2D,b),e.texImage2D(e.TEXTURE_2D,0,e.RGBA,n,r*h,0,e.RGBA,e.FLOAT,it),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_WRAP_S,e.CLAMP_TO_EDGE),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_WRAP_T,e.CLAMP_TO_EDGE),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_MIN_FILTER,e.NEAREST),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_MAG_FILTER,e.NEAREST),e.uniform1i(e.getUniformLocation(f,"u_filters"),0),e.activeTexture(e.TEXTURE2),y=e.createTexture(),e.bindTexture(e.TEXTURE_2D,y),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_WRAP_S,e.CLAMP_TO_EDGE),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_WRAP_T,e.CLAMP_TO_EDGE),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_MIN_FILTER,e.NEAREST),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_MAG_FILTER,e.NEAREST),e.texImage2D(e.TEXTURE_2D,0,e.RGBA,i,s*h,0,e.RGBA,e.FLOAT,null),c=e.createFramebuffer(),e.bindFramebuffer(e.FRAMEBUFFER,c),e.framebufferTexture2D(e.FRAMEBUFFER,e.COLOR_ATTACHMENT0,e.TEXTURE_2D,y,0),e.viewport(0,0,i,s*h),C=new Float32Array(12*o);var U,ut;for(var z=0;z<o;z++)U=z*T,ut=z*12,C[ut]=0,C[ut+1]=U,C[ut+2]=x,C[ut+3]=U,C[ut+4]=0,C[ut+5]=U+T,C[ut+6]=0,C[ut+7]=U+T,C[ut+8]=x,C[ut+9]=U,C[ut+10]=x,C[ut+11]=U+T;k=new Float32Array(o*12),A=Math.floor(o/4)+Math.ceil(o%4);var at=(n-1)/2/i,ft=(n-1)/2/(s*A),lt=s/(s*A);for(var z=0;z<o;z++)U=Math.floor(z/4)*lt,ut=z*12,k[ut]=at,k[ut+1]=U+ft,k[ut+2]=1-at,k[ut+3]=U+ft,k[ut+4]=at,k[ut+5]=U+lt-ft,k[ut+6]=at,k[ut+7]=U+lt-ft,k[ut+8]=1-at,k[ut+9]=U+ft,k[ut+10]=1-at,k[ut+11]=U+lt-ft;L=new Float32Array(o*6);var ct;for(var z=0;z<o;z++)ct=z%4,ut=z*6,L[ut]=ct,L[ut+1]=ct,L[ut+2]=ct,L[ut+3]=ct,L[ut+4]=ct,L[ut+5]=ct;O=i,M=s*A,_=i*s,D=new Float32Array(_*A*4)},this.getResponses=function(t,n){if(!d){e.useProgram(f);var r=e.getAttribLocation(f,"a_position");e.bindBuffer(e.ARRAY_BUFFER,S),e.enableVertexAttribArray(r),e.vertexAttribPointer(r,2,e.FLOAT,!1,0,0);var u=e.getAttribLocation(f,"a_texCoord");e.bindBuffer(e.ARRAY_BUFFER,w),e.enableVertexAttribArray(u),e.vertexAttribPointer(u,2,e.FLOAT,!1,0,0),e.bindFramebuffer(e.FRAMEBUFFER,c),e.viewport(0,0,i,s*h)}var a=0,y=0,b=0;for(var E=0;E<A;E++)for(var T=0;T<s;T++)for(var F=0;F<i;F++)y=E*4,b=T*i+F,a=(_*E+b)*4,y<o?D[a]=t[y][b]:D[a]=0,y+1<o?D[a+1]=t[y+1][b]:D[a+1]=0,y+2<o?D[a+2]=t[y+2][b]:D[a+2]=0,y+3<o?D[a+3]=t[y+3][b]:D[a+3]=0;e.activeTexture(e.TEXTURE1),d&&(p=e.createTexture()),e.bindTexture(e.TEXTURE_2D,p),e.texImage2D(e.TEXTURE_2D,0,e.RGBA,O,M,0,e.RGBA,e.FLOAT,D),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_WRAP_S,e.CLAMP_TO_EDGE),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_WRAP_T,e.CLAMP_TO_EDGE),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_MIN_FILTER,e.NEAREST),e.texParameteri(e.TEXTURE_2D,e.TEXTURE_MAG_FILTER,e.NEAREST),e.uniform1i(e.getUniformLocation(f,"u_patches"),1),e.clearColor(0,0,0,1),e.clear(e.COLOR_BUFFER_BIT|e.DEPTH_BUFFER),e.drawArrays(e.TRIANGLES,0,A*6);if(n){e.useProgram(l),e.bindFramebuffer(e.FRAMEBUFFER,null),e.viewport(0,0,x,N),e.clearColor(0,0,0,1),e.clear(e.COLOR_BUFFER_BIT|e.DEPTH_BUFFER),d&&(v=e.createBuffer()),e.bindBuffer(e.ARRAY_BUFFER,v),e.bufferData(e.ARRAY_BUFFER,C,e.STATIC_DRAW);var 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r=0;r<n;r+=4)t[r/4>>0]=e[r]/4294967296+e[r+1]/16777216+e[r+2]/65536+e[r+3]/256;return t},j=function(e){var t=e.length,n=0,r=1;for(var i=0;i<t;i++)n=e[i]>n?e[i]:n,r=e[i]<r?e[i]:r;var s=n-r;if(s==0)console.log("a patchresponse was monotone, causing normalization to fail. Leaving it unchanged."),e=e.map(function(){return 1});else for(var i=0;i<t;i++)e[i]=(e[i]-r)/s;return e},F=["attribute vec2 a_texCoord;","attribute vec2 a_position;","","uniform vec2 u_resolution;","uniform float u_patchHeight;","uniform float u_filterHeight;","uniform vec2 u_midpoint;","","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"),I,q=["attribute vec2 a_texCoord_draw;","attribute vec2 a_position_draw;","attribute float a_patchChoice_draw;","","uniform vec2 u_resolutiondraw;","","varying vec2 v_texCoord;","varying float v_select;","","void main() {","   // convert the rectangle from pixels to 0.0 to 1.0","   vec2 zeroToOne = a_position_draw / u_resolutiondraw;","","   // 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_draw;","   ","   v_select = a_patchChoice_draw;","}"].join("\n"),R=["precision mediump float;","","// our responses","uniform sampler2D u_responses;","","// the texCoords passed in from the vertex shader.","varying vec2 v_texCoord;","varying float v_select;","","const vec4 bit_shift = vec4(256.0*256.0*256.0, 256.0*256.0, 256.0, 1.0);","const vec4 bit_mask  = vec4(0.0, 1.0/256.0, 1.0/256.0, 1.0/256.0);","","// packing code from here http://stackoverflow.com/questions/9882716/packing-float-into-vec4-how-does-this-code-work","void main() {","  vec4 colorSum = texture2D(u_responses, v_texCoord);","  float value = 0.0;","  if (v_select == 0.0) {","    value = colorSum[0];","  } else if (v_select == 1.0) {","    value = colorSum[1];","  } else if (v_select == 2.0) {","    value = colorSum[2];","  } else if (v_select == 3.0) {","    value = colorSum[3];","  } else {","    value = 1.0;","  }","  ","  vec4 res = fract(value * bit_shift);","  res -= res.xxyz * bit_mask;","  ","  //gl_FragColor = vec4(value, value, value, value);","  //gl_FragColor = vec4(1.0, value, 1.0, 1.0);","  gl_FragColor = res;","}"].join("\n")};(function(){var 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n=0;n<o;n++)e[t+n*o]=1/(1+Math.exp(-(e[t+n*o]-1)));return e},p=function(e){return e--,e|=e>>1,e|=e>>2,e|=e>>4,e|=e>>8,e|=e>>16,e++,e},d=function(e){var t=e.length,n=0,r=1;for(var i=0;i<t;i++)n=e[i]>n?e[i]:n,r=e[i]<r?e[i]:r;var s=n-r;if(s==0)console.log("a patchresponse was monotone, causing normalization to fail. Leaving it unchanged.");else for(var i=0;i<t;i++)e[i]=(e[i]-r)/s}},mosseFilterResponses=function(){var e=[],t=[],n=0;this.init=function(t,r,i,s){for(var o=0;o<r;o++){var u={};u.width=i,u.height=s;var a=i*s,f=new Float64Array(a),l=new Float64Array(a);for(var c=0;c<a;c++)f[c]=t[o][0][c],l[c]=t[o][1][c];u.real=f,u.imag=l,e[o]=new mosseFilter,e[o].load(u)}n=r},this.getResponses=function(r){for(var s=0;s<n;s++)t[s]=e[s].getResponse(r[s]),t[s]=i(t[s]);return t};var r=function(e){var t=e.length;for(var n=0;n<t;n++)e[n]=1/(1+Math.exp(-(e[n]-1)));return e},i=function(e){var t=e.length,n=0,r=1;for(var i=0;i<t;i++)n=e[i]>n?e[i]:n,r=e[i]<r?e[i]:r;var s=n-r;if(s==0)console.log("a patchresponse was monotone, causing normalization to fail. 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numeric.blockMatrix([t]);var r=n[0],i=n[1],s,o,u,a,f;s=0,o=0;for(u=0;u<r;++u)s+=t[u][0].length;for(a=0;a<i;++a)o+=t[0][a][0].length;var l=Array(s);for(u=0;u<s;++u)l[u]=Array(o);var c=0,h,p,d,v,m;for(u=0;u<r;++u){h=o;for(a=i-1;a!==-1;--a){f=t[u][a],h-=f[0].length;for(d=f.length-1;d!==-1;--d){m=f[d],p=l[c+d];for(v=m.length-1;v!==-1;--v)p[h+v]=m[v]}}c+=t[u][0].length}return l},numeric.tensor=function(t,n){if(typeof t=="number"||typeof n=="number")return numeric.mul(t,n);var r=numeric.dim(t),i=numeric.dim(n);if(r.length!==1||i.length!==1)throw new Error("numeric: tensor product is only defined for vectors");var s=r[0],o=i[0],u=Array(s),a,f,l,c;for(f=s-1;f>=0;f--){a=Array(o),c=t[f];for(l=o-1;l>=3;--l)a[l]=c*n[l],--l,a[l]=c*n[l],--l,a[l]=c*n[l],--l,a[l]=c*n[l];while(l>=0)a[l]=c*n[l],--l;u[f]=a}return u},numeric.T=function(t,n){this.x=t,this.y=n},numeric.t=function(t,n){return new numeric.T(t,n)},numeric.Tbinop=function(t,n,r,i,s){var o=numeric.indexOf;if(typeof s!="string"){var u;s="";for(u in numeric)numeric.hasOwnProperty(u)&&(t.indexOf(u)>=0||n.indexOf(u)>=0||r.indexOf(u)>=0||i.indexOf(u)>=0)&&u.length>1&&(s+="var "+u+" = numeric."+u+";\n")}return Function(["y"],"var x = this;\nif(!(y instanceof numeric.T)) { y = new numeric.T(y); }\n"+s+"\n"+"if(x.y) {"+"  if(y.y) {"+"    return new numeric.T("+i+");\n"+"  }\n"+"  return new numeric.T("+r+");\n"+"}\n"+"if(y.y) {\n"+"  return new numeric.T("+n+");\n"+"}\n"+"return new numeric.T("+t+");\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 t=numeric.mul,n=numeric.div;if(this.y){var r=numeric.add(t(this.x,this.x),t(this.y,this.y));return new numeric.T(n(this.x,r),n(numeric.neg(this.y),r))}return new T(n(1,this.x))},numeric.T.prototype.div=function div(e){e instanceof numeric.T||(e=new numeric.T(e));if(e.y)return this.mul(e.reciprocal());var div=numeric.div;return this.y?new numeric.T(div(this.x,e.x),div(this.y,e.x)):new numeric.T(div(this.x,e.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 t=numeric.transpose,n=this.x,r=this.y;return r?new numeric.T(t(n),t(r)):new numeric.T(t(n))},numeric.T.prototype.transjugate=function(){var t=numeric.transpose,n=this.x,r=this.y;return r?new numeric.T(t(n),numeric.negtranspose(r)):new numeric.T(t(n))},numeric.Tunop=function(t,n,r){return typeof r!="string"&&(r=""),Function("var x = this;\n"+r+"\n"+"if(x.y) {"+"  "+n+";\n"+"}\n"+t+";\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 t=this;if(typeof t.y=="undefined")return new numeric.T(numeric.inv(t.x));var n=t.x.length,r,i,s,o=numeric.identity(n),u=numeric.rep([n,n],0),a=numeric.clone(t.x),f=numeric.clone(t.y),l,c,h,p,d,v,m,g,r,i,s,y,b,w,E,S,x,T;for(r=0;r<n;r++){w=a[r][r],E=f[r][r],y=w*w+E*E,s=r;for(i=r+1;i<n;i++)w=a[i][r],E=f[i][r],b=w*w+E*E,b>y&&(s=i,y=b);s!==r&&(T=a[r],a[r]=a[s],a[s]=T,T=f[r],f[r]=f[s],f[s]=T,T=o[r],o[r]=o[s],o[s]=T,T=u[r],u[r]=u[s],u[s]=T),l=a[r],c=f[r],d=o[r],v=u[r],w=l[r],E=c[r];for(i=r+1;i<n;i++)S=l[i],x=c[i],l[i]=(S*w+x*E)/y,c[i]=(x*w-S*E)/y;for(i=0;i<n;i++)S=d[i],x=v[i],d[i]=(S*w+x*E)/y,v[i]=(x*w-S*E)/y;for(i=r+1;i<n;i++){h=a[i],p=f[i],m=o[i],g=u[i],w=h[r],E=p[r];for(s=r+1;s<n;s++)S=l[s],x=c[s],h[s]-=S*w-x*E,p[s]-=x*w+S*E;for(s=0;s<n;s++)S=d[s],x=v[s],m[s]-=S*w-x*E,g[s]-=x*w+S*E}}for(r=n-1;r>0;r--){d=o[r],v=u[r];for(i=r-1;i>=0;i--){m=o[i],g=u[i],w=a[i][r],E=f[i][r];for(s=n-1;s>=0;s--)S=d[s],x=v[s],m[s]-=w*S-E*x,g[s]-=w*x+E*S}}return new numeric.T(o,u)},numeric.T.prototype.get=function(t){var n=this.x,r=this.y,i=0,s,o=t.length;if(r){while(i<o)s=t[i],n=n[s],r=r[s],i++;return new numeric.T(n,r)}while(i<o)s=t[i],n=n[s],i++;return new numeric.T(n)},numeric.T.prototype.set=function(t,n){var r=this.x,i=this.y,s=0,o,u=t.length,a=n.x,f=n.y;if(u===0)return f?this.y=f:i&&(this.y=undefined),this.x=r,this;if(f){i||(i=numeric.rep(numeric.dim(r),0),this.y=i);while(s<u-1)o=t[s],r=r[o],i=i[o],s++;return o=t[s],r[o]=a,i[o]=f,this}if(i){while(s<u-1)o=t[s],r=r[o],i=i[o],s++;return o=t[s],r[o]=a,a instanceof Array?i[o]=numeric.rep(numeric.dim(a),0):i[o]=0,this}while(s<u-1)o=t[s],r=r[o],s++;return o=t[s],r[o]=a,this},numeric.T.prototype.getRows=function(t,n){var r=n-t+1,i,s=Array(r),o,u=this.x,a=this.y;for(i=t;i<=n;i++)s[i-t]=u[i];if(a){o=Array(r);for(i=t;i<=n;i++)o[i-t]=a[i];return new numeric.T(s,o)}return new numeric.T(s)},numeric.T.prototype.setRows=function(t,n,r){var i,s=this.x,o=this.y,u=r.x,a=r.y;for(i=t;i<=n;i++)s[i]=u[i-t];if(a){o||(o=numeric.rep(numeric.dim(s),0),this.y=o);for(i=t;i<=n;i++)o[i]=a[i-t]}else if(o)for(i=t;i<=n;i++)o[i]=numeric.rep([u[i-t].length],0);return this},numeric.T.prototype.getRow=function(t){var n=this.x,r=this.y;return r?new numeric.T(n[t],r[t]):new numeric.T(n[t])},numeric.T.prototype.setRow=function(t,n){var r=this.x,i=this.y,s=n.x,o=n.y;return r[t]=s,o?(i||(i=numeric.rep(numeric.dim(r),0),this.y=i),i[t]=o):i&&(i=numeric.rep([s.length],0)),this},numeric.T.prototype.getBlock=function(t,n){var r=this.x,i=this.y,s=numeric.getBlock;return i?new numeric.T(s(r,t,n),s(i,t,n)):new numeric.T(s(r,t,n))},numeric.T.prototype.setBlock=function(t,n,r){r instanceof numeric.T||(r=new numeric.T(r));var i=this.x,s=this.y,o=numeric.setBlock,u=r.x,a=r.y;if(a)return s||(this.y=numeric.rep(numeric.dim(this),0),s=this.y),o(i,t,n,u),o(s,t,n,a),this;o(i,t,n,u),s&&o(s,t,n,numeric.rep(numeric.dim(u),0))},numeric.T.rep=function(t,n){var r=numeric.T;n instanceof r||(n=new r(n));var i=n.x,s=n.y,o=numeric.rep;return s?new r(o(t,i),o(t,s)):new r(o(t,i))},numeric.T.diag=function diag(e){e instanceof numeric.T||(e=new numeric.T(e));var t=e.x,n=e.y,diag=numeric.diag;return n?new numeric.T(diag(t),diag(n)):new numeric.T(diag(t))},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(t){return new numeric.T(numeric.identity(t))},numeric.T.prototype.getDiag=function(){var t=numeric,n=this.x,r=this.y;return r?new t.T(t.getDiag(n),t.getDiag(r)):new t.T(t.getDiag(n))},numeric.house=function(t){var n=numeric.clone(t),r=t[0]>=0?1:-1,i=r*numeric.norm2(t);n[0]+=i;var s=numeric.norm2(n);if(s===0)throw new Error("eig: internal error");return numeric.div(n,s)},numeric.toUpperHessenberg=function(t){var n=numeric.dim(t);if(n.length!==2||n[0]!==n[1])throw new Error("numeric: toUpperHessenberg() only works on square matrices");var r=n[0],i,s,o,u,a,f=numeric.clone(t),l,c,h,p,d=numeric.identity(r),v;for(s=0;s<r-2;s++){u=Array(r-s-1);for(i=s+1;i<r;i++)u[i-s-1]=f[i][s];if(numeric.norm2(u)>0){a=numeric.house(u),l=numeric.getBlock(f,[s+1,s],[r-1,r-1]),c=numeric.tensor(a,numeric.dot(a,l));for(i=s+1;i<r;i++){h=f[i],p=c[i-s-1];for(o=s;o<r;o++)h[o]-=2*p[o-s]}l=numeric.getBlock(f,[0,s+1],[r-1,r-1]),c=numeric.tensor(numeric.dot(l,a),a);for(i=0;i<r;i++){h=f[i],p=c[i];for(o=s+1;o<r;o++)h[o]-=2*p[o-s-1]}l=Array(r-s-1);for(i=s+1;i<r;i++)l[i-s-1]=d[i];c=numeric.tensor(a,numeric.dot(a,l));for(i=s+1;i<r;i++){v=d[i],p=c[i-s-1];for(o=0;o<r;o++)v[o]-=2*p[o]}}}return{H:f,Q:d}},numeric.epsilon=2.220446049250313e-16,numeric.QRFrancis=function(e,t){typeof t=="undefined"&&(t=1e4),e=numeric.clone(e);var n=numeric.clone(e),r=numeric.dim(e),i=r[0],s,o,u,a,f,l,c,h,p,d=numeric.identity(i),v,m,g,y,b,w,E,S,x;if(i<3)return{Q:d,B:[[0,i-1]]};var T=numeric.epsilon;for(x=0;x<t;x++){for(E=0;E<i-1;E++)if(Math.abs(e[E+1][E])<T*(Math.abs(e[E][E])+Math.abs(e[E+1][E+1]))){var N=numeric.QRFrancis(numeric.getBlock(e,[0,0],[E,E]),t),C=numeric.QRFrancis(numeric.getBlock(e,[E+1,E+1],[i-1,i-1]),t);g=Array(E+1);for(w=0;w<=E;w++)g[w]=d[w];y=numeric.dot(N.Q,g);for(w=0;w<=E;w++)d[w]=y[w];g=Array(i-E-1);for(w=E+1;w<i;w++)g[w-E-1]=d[w];y=numeric.dot(C.Q,g);for(w=E+1;w<i;w++)d[w]=y[w-E-1];return{Q:d,B:N.B.concat(numeric.add(C.B,E+1))}}u=e[i-2][i-2],a=e[i-2][i-1],f=e[i-1][i-2],l=e[i-1][i-1],h=u+l,c=u*l-a*f,p=numeric.getBlock(e,[0,0],[2,2]);if(h*h>=4*c){var k,L;k=.5*(h+Math.sqrt(h*h-4*c)),L=.5*(h-Math.sqrt(h*h-4*c)),p=numeric.add(numeric.sub(numeric.dot(p,p),numeric.mul(p,k+L)),numeric.diag(numeric.rep([3],k*L)))}else p=numeric.add(numeric.sub(numeric.dot(p,p),numeric.mul(p,h)),numeric.diag(numeric.rep([3],c)));s=[p[0][0],p[1][0],p[2][0]],o=numeric.house(s),g=[e[0],e[1],e[2]],y=numeric.tensor(o,numeric.dot(o,g));for(w=0;w<3;w++){m=e[w],b=y[w];for(S=0;S<i;S++)m[S]-=2*b[S]}g=numeric.getBlock(e,[0,0],[i-1,2]),y=numeric.tensor(numeric.dot(g,o),o);for(w=0;w<i;w++){m=e[w],b=y[w];for(S=0;S<3;S++)m[S]-=2*b[S]}g=[d[0],d[1],d[2]],y=numeric.tensor(o,numeric.dot(o,g));for(w=0;w<3;w++){v=d[w],b=y[w];for(S=0;S<i;S++)v[S]-=2*b[S]}var A;for(E=0;E<i-2;E++){for(S=E;S<=E+1;S++)if(Math.abs(e[S+1][S])<T*(Math.abs(e[S][S])+Math.abs(e[S+1][S+1]))){var N=numeric.QRFrancis(numeric.getBlock(e,[0,0],[S,S]),t),C=numeric.QRFrancis(numeric.getBlock(e,[S+1,S+1],[i-1,i-1]),t);g=Array(S+1);for(w=0;w<=S;w++)g[w]=d[w];y=numeric.dot(N.Q,g);for(w=0;w<=S;w++)d[w]=y[w];g=Array(i-S-1);for(w=S+1;w<i;w++)g[w-S-1]=d[w];y=numeric.dot(C.Q,g);for(w=S+1;w<i;w++)d[w]=y[w-S-1];return{Q:d,B:N.B.concat(numeric.add(C.B,S+1))}}A=Math.min(i-1,E+3),s=Array(A-E);for(w=E+1;w<=A;w++)s[w-E-1]=e[w][E];o=numeric.house(s),g=numeric.getBlock(e,[E+1,E],[A,i-1]),y=numeric.tensor(o,numeric.dot(o,g));for(w=E+1;w<=A;w++){m=e[w],b=y[w-E-1];for(S=E;S<i;S++)m[S]-=2*b[S-E]}g=numeric.getBlock(e,[0,E+1],[i-1,A]),y=numeric.tensor(numeric.dot(g,o),o);for(w=0;w<i;w++){m=e[w],b=y[w];for(S=E+1;S<=A;S++)m[S]-=2*b[S-E-1]}g=Array(A-E);for(w=E+1;w<=A;w++)g[w-E-1]=d[w];y=numeric.tensor(o,numeric.dot(o,g));for(w=E+1;w<=A;w++){v=d[w],b=y[w-E-1];for(S=0;S<i;S++)v[S]-=2*b[S]}}}throw new Error("numeric: eigenvalue iteration does not converge -- increase maxiter?")},numeric.eig=function(t,n){var r=numeric.toUpperHessenberg(t),i=numeric.QRFrancis(r.H,n),s=numeric.T,o=t.length,u,a,f=!1,l=i.B,c=numeric.dot(i.Q,numeric.dot(r.H,numeric.transpose(i.Q))),h=new s(numeric.dot(i.Q,r.Q)),p,d=l.length,v,m,g,y,b,w,E,S,x,T,N,C,k,L,A=Math.sqrt;for(a=0;a<d;a++){u=l[a][0];if(u!==l[a][1]){v=u+1,m=c[u][u],g=c[u][v],y=c[v][u],b=c[v][v];if(g===0&&y===0)continue;w=-m-b,E=m*b-g*y,S=w*w-4*E,S>=0?(w<0?x=-0.5*(w-A(S)):x=-0.5*(w+A(S)),k=(m-x)*(m-x)+g*g,L=y*y+(b-x)*(b-x),k>L?(k=A(k),N=(m-x)/k,C=g/k):(L=A(L),N=y/L,C=(b-x)/L),p=new s([[C,-N],[N,C]]),h.setRows(u,v,p.dot(h.getRows(u,v)))):(x=-0.5*w,T=.5*A(-S),k=(m-x)*(m-x)+g*g,L=y*y+(b-x)*(b-x),k>L?(k=A(k+T*T),N=(m-x)/k,C=g/k,x=0,T/=k):(L=A(L+T*T),N=y/L,C=(b-x)/L,x=T/L,T=0),p=new s([[C,-N],[N,C]],[[x,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-1;g!==-1;--g){w=i[g],N=u[w],S=f[w],x=f[w+1];for(T=S;T<x;++T)if(l[T]===N){r[N]/=c[T];break}L=r[N];for(T=S;T<x;++T)r[l[T]]-=L*c[T];r[N]=L}},numeric.ccsLUP0=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.ccsLPSolve0,N=Math.max,C=Math.abs,k=numeric.linspace(0,r-1),L=numeric.linspace(0,r-1),A=new numeric.ccsDFS0(r);typeof n=="undefined"&&(n=1);for(d=0;d<r;++d){T(i,t,h,p,d,L,k,A),b=-1,w=-1;for(v=p.length-1;v!==-1;--v){m=p[v];if(m<=d)continue;E=C(h[k[m]]),E>b&&(w=m,b=E)}C(h[k[d]])<n*b&&(v=k[d],b=k[w],k[d]=b,L[b]=d,k[w]=v,L[v]=w),b=o[d],w=f[d],S=h[k[d]],u[b]=k[d],a[b]=1,++b;for(v=p.length-1;v!==-1;--v)m=p[v],E=h[k[m]],p[v]=0,h[k[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.ccsLUP=numeric.ccsLUP0,numeric.ccsDim=function(t){return[numeric.sup(t[1])+1,t[0].length-1]},numeric.ccsGetBlock=function(t,n,r){var i=numeric.ccsDim(t),s=i[0],o=i[1];typeof n=="undefined"?n=numeric.linspace(0,s-1):typeof n=="number"&&(n=[n]),typeof r=="undefined"?r=numeric.linspace(0,o-1):typeof r=="number"&&(r=[r]);var u,a,f,l=n.length,c,h=r.length,p,d,v,m=numeric.rep([o],0),g=[],y=[],b=[m,g,y],w=t[0],E=t[1],S=t[2],x=numeric.rep([s],0),T=0,N=numeric.rep([s],0);for(c=0;c<h;++c){d=r[c];var C=w[d],k=w[d+1];for(u=C;u<k;++u)p=E[u],N[p]=1,x[p]=S[u];for(u=0;u<l;++u)v=n[u],N[v]&&(g[T]=u,y[T]=x[n[u]],++T);for(u=C;u<k;++u)p=E[u],N[p]=0;m[c+1]=T}return b},numeric.ccsDot=function(t,n){var r=t[0],i=t[1],s=t[2],o=n[0],u=n[1],a=n[2],f=numeric.ccsDim(t),l=numeric.ccsDim(n),c=f[0],h=f[1],p=l[1],d=numeric.rep([c],0),v=numeric.rep([c],0),m=Array(c),g=numeric.rep([p],0),y=[],b=[],w=[g,y,b],E,S,x,T,N,C,k,L,A,O,M;for(x=0;x!==p;++x){T=o[x],N=o[x+1],A=0;for(S=T;S<N;++S){O=u[S],M=a[S],C=r[O],k=r[O+1];for(E=C;E<k;++E)L=i[E],v[L]===0&&(m[A]=L,v[L]=1,A+=1),d[L]=d[L]+s[E]*M}T=g[x],N=T+A,g[x+1]=N;for(S=A-1;S!==-1;--S)M=T+S,E=m[S],y[M]=E,b[M]=d[E],v[E]=0,d[E]=0;g[x+1]=g[x]+A}return w},numeric.ccsLUPSolve=function(t,n){var r=t.L,i=t.U,s=t.P,o=n[0],u=!1;typeof o!="object"&&(n=[[0,n.length],numeric.linspace(0,n.length-1),n],o=n[0],u=!0);var a=n[1],f=n[2],l=r[0].length-1,c=o.length-1,h=numeric.rep([l],0),p=Array(l),d=numeric.rep([l],0),v=Array(l),m=numeric.rep([c+1],0),g=[],y=[],b=numeric.ccsTSolve,w,E,S,x,T,N,C=0;for(w=0;w<c;++w){T=0,S=o[w],x=o[w+1];for(E=S;E<x;++E)N=t.Pinv[a[E]],v[T]=N,d[N]=f[E],++T;v.length=T,b(r,d,h,v,p);for(E=v.length-1;E!==-1;--E)d[v[E]]=0;b(i,h,d,p,v);if(u)return d;for(E=p.length-1;E!==-1;--E)h[p[E]]=0;for(E=v.length-1;E!==-1;--E)N=v[E],g[C]=N,y[C]=d[N],d[N]=0,++C;m[w+1]=C}return[m,g,y]},numeric.ccsbinop=function(t,n){return typeof n=="undefined"&&(n=""),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"+n+"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"+t+"\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"+"}\n"+"return [Zi,Zj,Zv];")},function(){var k,A,B,C;for(k in numeric.ops2)isFinite(eval("1"+numeric.ops2[k]+"0"))?A="[Y[0],Y[1],numeric."+k+"(X,Y[2])]":A="NaN",isFinite(eval("0"+numeric.ops2[k]+"1"))?B="[X[0],X[1],numeric."+k+"(X[2],Y)]":B="NaN",isFinite(eval("1"+numeric.ops2[k]+"0"))&&isFinite(eval("0"+numeric.ops2[k]+"1"))?C="numeric.ccs"+k+"MM(X,Y)":C="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+";\n"+'if(typeof Y === "number") return '+B+";\n"+"return "+C+";\n")}(),numeric.ccsScatter=function(t){var n=t[0],r=t[1],i=t[2],s=numeric.sup(r)+1,o=n.length,u=numeric.rep([s],0),a=Array(o),f=Array(o),l=numeric.rep([s],0),c;for(c=0;c<o;++c)l[r[c]]++;for(c=0;c<s;++c)u[c+1]=u[c]+l[c];var h=u.slice(0),p,d;for(c=0;c<o;++c)d=r[c],p=h[d],a[p]=n[c],f[p]=i[c],h[d]=h[d]+1;return[u,a,f]},numeric.ccsGather=function(t){var n=t[0],r=t[1],i=t[2],s=n.length-1,o=r.length,u=Array(o),a=Array(o),f=Array(o),l,c,h,p,d;d=0;for(l=0;l<s;++l){h=n[l],p=n[l+1];for(c=h;c!==p;++c)a[d]=l,u[d]=r[c],f[d]=i[c],++d}return[u,a,f]},numeric.sdim=function dim(e,t,n){typeof t=="undefined"&&(t=[]);if(typeof e!="object")return t;typeof n=="undefined"&&(n=0),n in t||(t[n]=0),e.length>t[n]&&(t[n]=e.length);var r;for(r in e)e.hasOwnProperty(r)&&dim(e[r],t,n+1);return t},numeric.sclone=function clone(e,t,n){typeof t=="undefined"&&(t=0),typeof n=="undefined"&&(n=numeric.sdim(e).length);var r,i=Array(e.length);if(t===n-1){for(r in e)e.hasOwnProperty(r)&&(i[r]=e[r]);return i}for(r in e)e.hasOwnProperty(r)&&(i[r]=clone(e[r],t+1,n));return i},numeric.sdiag=function(t){var n=t.length,r,i=Array(n),s,o,u;for(r=n-1;r>=1;r-=2)s=r-1,i[r]=[],i[r][r]=t[r],i[s]=[],i[s][s]=t[s];return r===0&&(i[0]=[],i[0][0]=t[r]),i},numeric.sidentity=function(t){return numeric.sdiag(numeric.rep([t],1))},numeric.stranspose=function(t){var n=[],r=t.length,i,s,o;for(i in t){if(!t.hasOwnProperty(i))continue;o=t[i];for(s in o){if(!o.hasOwnProperty(s))continue;typeof n[s]!="object"&&(n[s]=[]),n[s][i]=o[s]}}return n},numeric.sLUP=function(t,n){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(t,n){var r=t.length,i=n.length,s=numeric.stranspose(n),o=s.length,u,a,f,l,c,h,p=Array(r),d;for(f=r-1;f>=0;f--){d=[],u=t[f];for(c=o-1;c>=0;c--){h=0,a=s[c];for(l in u){if(!u.hasOwnProperty(l))continue;l in a&&(h+=u[l]*a[l])}h&&(d[c]=h)}p[f]=d}return p},numeric.sdotMV=function(t,n){var r=t.length,i,s,o,u=Array(r),a;for(s=r-1;s>=0;s--){i=t[s],a=0;for(o in i){if(!i.hasOwnProperty(o))continue;n[o]&&(a+=i[o]*n[o])}a&&(u[s]=a)}return u},numeric.sdotVM=function(t,n){var r,i,s,o,u=[],a;for(r in t){if(!t.hasOwnProperty(r))continue;s=n[r],o=t[r];for(i in s){if(!s.hasOwnProperty(i))continue;u[i]||(u[i]=0),u[i]+=o*s[i]}}return u},numeric.sdotVV=function(t,n){var r,i=0;for(r in t)t[r]&&n[r]&&(i+=t[r]*n[r]);return i},numeric.sdot=function(t,n){var r=numeric.sdim(t).length,i=numeric.sdim(n).length,s=r*1e3+i;switch(s){case 0:return t*n;case 1001:return numeric.sdotVV(t,n);case 2001:return numeric.sdotMV(t,n);case 1002:return numeric.sdotVM(t,n);case 2002:return numeric.sdotMM(t,n);default:throw new Error("numeric.sdot not implemented for tensors of order "+r+" and "+i)}},numeric.sscatter=function(t){var n=t[0].length,r,i,s,o=t.length,u=[],a;for(i=n-1;i>=0;--i){if(!t[o-1][i])continue;a=u;for(s=0;s<o-2;s++)r=t[s][i],a[r]||(a[r]=[]),a=a[r];a[t[s][i]]=t[s+1][i]}return u},numeric.sgather=function gather(e,t,n){typeof t=="undefined"&&(t=[]),typeof n=="undefined"&&(n=[]);var r,i,s;r=n.length;for(i in e)if(e.hasOwnProperty(i)){n[r]=parseInt(i),s=e[i];if(typeof s=="number"){if(s){if(t.length===0)for(i=r+1;i>=0;--i)t[i]=[];for(i=r;i>=0;--i)t[i].push(n[i]);t[r+1].push(s)}}else gather(s,t,n)}return n.length>r&&n.pop(),t},numeric.cLU=function(t){var n=t[0],r=t[1],i=t[2],s=n.length,o=0,u,a,f,l,c,h;for(u=0;u<s;u++)n[u]>o&&(o=n[u]);o++;var p=Array(o),d=Array(o),v=numeric.rep([o],Infinity),m=numeric.rep([o],-Infinity),g,y,b;for(f=0;f<s;f++)u=n[f],a=r[f],a<v[u]&&(v[u]=a),a>m[u]&&(m[u]=a);for(u=0;u<o-1;u++)m[u]>m[u+1]&&(m[u+1]=m[u]);for(u=o-1;u>=1;u--)v[u]<v[u-1]&&(v[u-1]=v[u]);var w=0,E=0;for(u=0;u<o;u++)d[u]=numeric.rep([m[u]-v[u]+1],0),p[u]=numeric.rep([u-v[u]],0),w+=u-v[u]+1,E+=m[u]-u+1;for(f=0;f<s;f++)u=n[f],d[u][r[f]-v[u]]=i[f];for(u=0;u<o-1;u++){l=u-v[u],g=d[u];for(a=u+1;v[a]<=u&&a<o;a++){c=u-v[a],h=m[u]-u,y=d[a],b=y[c]/g[l];if(b){for(f=1;f<=h;f++)y[f+c]-=b*g[f+l];p[a][u-v[a]]=b}}}var g=[],y=[],S=[],x=[],T=[],N=[],s,C,k;s=0,C=0;for(u=0;u<o;u++){l=v[u],c=m[u],k=d[u];for(a=u;a<=c;a++)k[a-l]&&(g[s]=u,y[s]=a,S[s]=k[a-l],s++);k=p[u];for(a=l;a<u;a++)k[a-l]&&(x[C]=u,T[C]=a,N[C]=k[a-l],C++);x[C]=u,T[C]=u,N[C]=1,C++}return{U:[g,y,S],L:[x,T,N]}},numeric.cLUsolve=function(t,n){var r=t.L,i=t.U,s=numeric.clone(n),o=r[0],u=r[1],a=r[2],f=i[0],l=i[1],c=i[2],h=f.length,p=o.length,d=s.length,v,m,g;g=0;for(v=0;v<d;v++){while(u[g]<v)s[v]-=a[g]*s[u[g]],g++;g++}g=h-1;for(v=d-1;v>=0;v--){while(l[g]>v)s[v]-=c[g]*s[l[g]],g--;s[v]/=c[g],g--}return s},numeric.cgrid=function(t,n){typeof t=="number"&&(t=[t,t]);var r=numeric.rep(t,-1),i,s,o;if(typeof n!="function")switch(n){case"L":n=function(e,n){return e>=t[0]/2||n<t[1]/2};break;default:n=function(e,t){return!0}}o=0;for(i=1;i<t[0]-1;i++)for(s=1;s<t[1]-1;s++)n(i,s)&&(r[i][s]=o,o++);return r},numeric.cdelsq=function(t){var n=[[-1,0],[0,-1],[0,1],[1,0]],r=numeric.dim(t),i=r[0],s=r[1],o,u,a,f,l,c=[],h=[],p=[];for(o=1;o<i-1;o++)for(u=1;u<s-1;u++){if(t[o][u]<0)continue;for(a=0;a<4;a++){f=o+n[a][0],l=u+n[a][1];if(t[f][l]<0)continue;c.push(t[o][u]),h.push(t[f][l]),p.push(-1)}c.push(t[o][u]),h.push(t[o][u]),p.push(4)}return[c,h,p]},numeric.cdotMV=function(t,n){var r,i=t[0],s=t[1],o=t[2],u,a=i.length,f;f=0;for(u=0;u<a;u++)i[u]>f&&(f=i[u]);f++,r=numeric.rep([f],0);for(u=0;u<a;u++)r[i[u]]+=o[u]*n[s[u]];return r},numeric.Spline=function(t,n,r,i,s){this.x=t,this.yl=n,this.yr=r,this.kl=i,this.kr=s},numeric.Spline.prototype._at=function(t,n){var r=this.x,i=this.yl,s=this.yr,o=this.kl,u=this.kr,t,a,f,l,c=numeric.add,h=numeric.sub,p=numeric.mul;a=h(p(o[n],r[n+1]-r[n]),h(s[n+1],i[n])),f=c(p(u[n+1],r[n]-r[n+1]),h(s[n+1],i[n])),l=(t-r[n])/(r[n+1]-r[n]);var d=l*(1-l);return c(c(c(p(1-l,i[n]),p(l,s[n+1])),p(a,d*(1-l))),p(f,d*l))},numeric.Spline.prototype.at=function(t){if(typeof t=="number"){var n=this.x,r=n.length,i,s,o,u=Math.floor,a,f,l;i=0,s=r-1;while(s-i>1)o=u((i+s)/2),n[o]<=t?i=o:s=o;return this._at(t,i)}var r=t.length,c,h=Array(r);for(c=r-1;c!==-1;--c)h[c]=this.at(t[c]);return h},numeric.Spline.prototype.diff=function(){var t=this.x,n=this.yl,r=this.yr,i=this.kl,s=this.kr,o=n.length,u,a,f,l=i,c=s,h=Array(o),p=Array(o),d=numeric.add,v=numeric.mul,m=numeric.div,g=numeric.sub;for(u=o-1;u!==-1;--u)a=t[u+1]-t[u],f=g(r[u+1],n[u]),h[u]=m(d(v(f,6),v(i[u],-4*a),v(s[u+1],-2*a)),a*a),p[u+1]=m(d(v(f,-6),v(i[u],2*a),v(s[u+1],4*a)),a*a);return new numeric.Spline(t,l,c,h,p)},numeric.Spline.prototype.roots=function(){function t(e){return e*e}function n(e,t,n,r,i){var s=n*2-(t-e),o=-r*2+(t-e),u=(i+1)*.5,a=u*(1-u);return(1-u)*e+u*t+s*a*(1-u)+o*a*u}var r=[],i=this.x,s=this.yl,o=this.yr,u=this.kl,a=this.kr;typeof s[0]=="number"&&(s=[s],o=[o],u=[u],a=[a]);var f=s.length,l=i.length-1,c,h,p,d,v,m,g,y,b,w,r=Array(f),E,S,x,T,N,C,k,L,A,O,M,_,D,P,H,B,j,F=Math.sqrt;for(c=0;c!==f;++c){g=s[c],y=o[c],b=u[c],w=a[c],E=[];for(h=0;h!==l;h++){h>0&&y[h]*g[h]<0&&E.push(i[h]),A=i[h+1]-i[h],O=i[h],T=g[h],N=y[h+1],S=b[h]/A,x=w[h+1]/A,L=t(S-x+3*(T-N))+12*x*T,C=x+3*T+2*S-3*N,k=3*(x+S+2*(T-N)),L<=0?(_=C/k,_>i[h]&&_<i[h+1]?M=[i[h],_,i[h+1]]:M=[i[h],i[h+1]]):(_=(C-F(L))/k,D=(C+F(L))/k,M=[i[h]],_>i[h]&&_<i[h+1]&&M.push(_),D>i[h]&&D<i[h+1]&&M.push(D),M.push(i[h+1])),H=M[0],_=this._at(H,h);for(p=0;p<M.length-1;p++){B=M[p+1],D=this._at(B,h);if(_===0){E.push(H),H=B,_=D;continue}if(D===0||_*D>0){H=B,_=D;continue}var I=0;for(;;){j=(_*B-D*H)/(_-D);if(j<=H||j>=B)break;P=this._at(j,h);if(P*D>0)B=j,D=P,I===-1&&(_*=.5),I=-1;else{if(!(P*_>0))break;H=j,_=P,I===1&&(D*=.5),I=1}}E.push(j),H=M[p+1],_=this._at(H,h)}D===0&&E.push(B)}r[c]=E}return typeof this.yl[0]=="number"?r[0]:r},numeric.spline=function(t,n,r,i){var s=t.length,o=[],u=[],a=[],f,l=numeric.sub,c=numeric.mul,h=numeric.add;for(f=s-2;f>=0;f--)u[f]=t[f+1]-t[f],a[f]=l(n[f+1],n[f]);if(typeof r=="string"||typeof i=="string")r=i="periodic";var p=[[],[],[]];switch(typeof r){case"undefined":o[0]=c(3/(u[0]*u[0]),a[0]),p[0].push(0,0),p[1].push(0,1),p[2].push(2/u[0],1/u[0]);break;case"string":o[0]=h(c(3/(u[s-2]*u[s-2]),a[s-2]),c(3/(u[0]*u[0]),a[0])),p[0].push(0,0,0),p[1].push(s-2,0,1),p[2].push(1/u[s-2],2/u[s-2]+2/u[0],1/u[0]);break;default:o[0]=r,p[0].push(0),p[1].push(0),p[2].push(1)}for(f=1;f<s-1;f++)o[f]=h(c(3/(u[f-1]*u[f-1]),a[f-1]),c(3/(u[f]*u[f]),a[f])),p[0].push(f,f,f),p[1].push(f-1,f,f+1),p[2].push(1/u[f-1],2/u[f-1]+2/u[f],1/u[f]);switch(typeof i){case"undefined":o[s-1]=c(3/(u[s-2]*u[s-2]),a[s-2]),p[0].push(s-1,s-1),p[1].push(s-2,s-1),p[2].push(1/u[s-2],2/u[s-2]);break;case"string":p[1][p[1].length-1]=0;break;default:o[s-1]=i,p[0].push(s-1),p[1].push(s-1),p[2].push(1)}typeof o[0]!="number"?o=numeric.transpose(o):o=[o];var d=Array(o.length);if(typeof r=="string")for(f=d.length-1;f!==-1;--f)d[f]=numeric.ccsLUPSolve(numeric.ccsLUP(numeric.ccsScatter(p)),o[f]),d[f][s-1]=d[f][0];else for(f=d.length-1;f!==-1;--f)d[f]=numeric.cLUsolve(numeric.cLU(p),o[f]);return typeof n[0]=="number"?d=d[0]:d=numeric.transpose(d),new numeric.Spline(t,n,n,d,d)},numeric.fftpow2=function fftpow2(e,t){var n=e.length;if(n===1)return;var r=Math.cos,i=Math.sin,s,o,u=Array(n/2),a=Array(n/2),f=Array(n/2),l=Array(n/2);o=n/2;for(s=n-1;s!==-1;--s)--o,f[o]=e[s],l[o]=t[s],--s,u[o]=e[s],a[o]=t[s];fftpow2(u,a),fftpow2(f,l),o=n/2;var c,h=-6.283185307179586/n,p,d;for(s=n-1;s!==-1;--s)--o,o===-1&&(o=n/2-1),c=h*s,p=r(c),d=i(c),e[s]=u[o]+p*f[o]-d*l[o],t[s]=a[o]+p*l[o]+d*f[o]},numeric._ifftpow2=function _ifftpow2(e,t){var n=e.length;if(n===1)return;var r=Math.cos,i=Math.sin,s,o,u=Array(n/2),a=Array(n/2),f=Array(n/2),l=Array(n/2);o=n/2;for(s=n-1;s!==-1;--s)--o,f[o]=e[s],l[o]=t[s],--s,u[o]=e[s],a[o]=t[s];_ifftpow2(u,a),_ifftpow2(f,l),o=n/2;var c,h=6.283185307179586/n,p,d;for(s=n-1;s!==-1;--s)--o,o===-1&&(o=n/2-1),c=h*s,p=r(c),d=i(c),e[s]=u[o]+p*f[o]-d*l[o],t[s]=a[o]+p*l[o]+d*f[o]},numeric.ifftpow2=function(t,n){numeric._ifftpow2(t,n),numeric.diveq(t,t.length),numeric.diveq(n,n.length)},numeric.convpow2=function(t,n,r,i){numeric.fftpow2(t,n),numeric.fftpow2(r,i);var s,o=t.length,u,a,f,l;for(s=o-1;s!==-1;--s)u=t[s],f=n[s],a=r[s],l=i[s],t[s]=u*a-f*l,n[s]=u*l+f*a;numeric.ifftpow2(t,n)},numeric.T.prototype.fft=function(){var t=this.x,n=this.y,r=t.length,i=Math.log,s=i(2),o=Math.ceil(i(2*r-1)/s),u=Math.pow(2,o),a=numeric.rep([u],0),f=numeric.rep([u],0),l=Math.cos,c=Math.sin,h,p=-3.141592653589793/r,d,v=numeric.rep([u],0),m=numeric.rep([u],0),g=Math.floor(r/2);for(h=0;h<r;h++)v[h]=t[h];if(typeof n!="undefined")for(h=0;h<r;h++)m[h]=n[h];a[0]=1;for(h=1;h<=u/2;h++)d=p*h*h,a[h]=l(d),f[h]=c(d),a[u-h]=l(d),f[u-h]=c(d);var y=new numeric.T(v,m),b=new numeric.T(a,f);return y=y.mul(b),numeric.convpow2(y.x,y.y,numeric.clone(b.x),numeric.neg(b.y)),y=y.mul(b),y.x.length=r,y.y.length=r,y},numeric.T.prototype.ifft=function(){var t=this.x,n=this.y,r=t.length,i=Math.log,s=i(2),o=Math.ceil(i(2*r-1)/s),u=Math.pow(2,o),a=numeric.rep([u],0),f=numeric.rep([u],0),l=Math.cos,c=Math.sin,h,p=3.141592653589793/r,d,v=numeric.rep([u],0),m=numeric.rep([u],0),g=Math.floor(r/2);for(h=0;h<r;h++)v[h]=t[h];if(typeof n!="undefined")for(h=0;h<r;h++)m[h]=n[h];a[0]=1;for(h=1;h<=u/2;h++)d=p*h*h,a[h]=l(d),f[h]=c(d),a[u-h]=l(d),f[u-h]=c(d);var y=new numeric.T(v,m),b=new numeric.T(a,f);return y=y.mul(b),numeric.convpow2(y.x,y.y,numeric.clone(b.x),numeric.neg(b.y)),y=y.mul(b),y.x.length=r,y.y.length=r,y.div(r)},numeric.gradient=function(t,n){var r=n.length,i=t(n);if(isNaN(i))throw new Error("gradient: f(x) is a NaN!");var s=Math.max,o,u=numeric.clone(n),a,f,l=Array(r),c=numeric.div,h=numeric.sub,p,d,s=Math.max,v=.001,m=Math.abs,g=Math.min,y,b,w,E=0,S,x,T;for(o=0;o<r;o++){var N=s(1e-6*i,1e-8);for(;;){++E;if(E>20)throw new Error("Numerical gradient fails");u[o]=n[o]+N,a=t(u),u[o]=n[o]-N,f=t(u),u[o]=n[o];if(isNaN(a)||isNaN(f)){N/=16;continue}l[o]=(a-f)/(2*N),y=n[o]-N,b=n[o],w=n[o]+N,S=(a-i)/N,x=(i-f)/N,T=s(m(l[o]),m(i),m(a),m(f),m(y),m(b),m(w),1e-8),p=g(s(m(S-l[o]),m(x-l[o]),m(S-x))/T,N/T);if(!(p>v))break;N/=16}}return l},numeric.uncmin=function(t,n,r,i,s,o,u){var a=numeric.gradient;typeof u=="undefined"&&(u={}),typeof r=="undefined"&&(r=1e-8),typeof i=="undefined"&&(i=function(e){return a(t,e)}),typeof s=="undefined"&&(s=1e3),n=numeric.clone(n);var f=n.length,l=t(n),c,h;if(isNaN(l))throw new Error("uncmin: f(x0) is a NaN!");var p=Math.max,d=numeric.norm2;r=p(r,numeric.epsilon);var v,m,g,y=u.Hinv||numeric.identity(f),b=numeric.dot,w=numeric.inv,E=numeric.sub,S=numeric.add,x=numeric.tensor,T=numeric.div,N=numeric.mul,C=numeric.all,k=numeric.isFinite,L=numeric.neg,A=0,O,M,_,D,P,H,B,j,F,I,q,R,U="";m=i(n);while(A<s){if(typeof o=="function"&&o(A,n,l,m,y)){U="Callback returned true";break}if(!C(k(m))){U="Gradient has Infinity or NaN";break}v=L(b(y,m));if(!C(k(v))){U="Search direction has Infinity or NaN";break}I=d(v);if(I<r){U="Newton step smaller than tol";break}F=1,h=b(m,v),_=n;while(A<s){if(F*I<r)break;M=N(v,F),_=S(n,M),c=t(_);if(c-l>=.1*F*h||isNaN(c)){F*=.5,++A;continue}break}if(F*I<r){U="Line search step size smaller than tol";break}if(A===s){U="maxit reached during line search";break}g=i(_),D=E(g,m),B=b(D,M),P=b(y,D),y=E(S(y,N((B+b(D,P))/(B*B),x(M,M))),T(S(x(P,M),x(M,P)),B)),n=_,l=c,m=g,++A}return{solution:n,f:l,gradient:m,invHessian:y,iterations:A,message:U}},numeric.Dopri=function(t,n,r,i,s,o,u){this.x=t,this.y=n,this.f=r,this.ymid=i,this.iterations=s,this.events=u,this.message=o},numeric.Dopri.prototype._at=function(t,n){function r(e){return e*e}var i=this,s=i.x,o=i.y,u=i.f,a=i.ymid,f=s.length,l,c,h,p,d,v,t,m=Math.floor,g,y=.5,b=numeric.add,w=numeric.mul,E=numeric.sub,S,x,T;return 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a=[t],f=[r],l=[i(t,r)],c,h,p,d,v,m,g=[],y=.2,b=[.075,.225],w=[44/45,-56/15,32/9],E=[19372/6561,-25360/2187,64448/6561,-212/729],S=[9017/3168,-355/33,46732/5247,49/176,-5103/18656],x=[35/384,0,500/1113,125/192,-2187/6784,11/84],T=[.10013431883002395,0,.3918321794184259,-0.02982460176594817,.05893268337240795,-0.04497888809104361,.023904308236133973],N=[.2,.3,.8,8/9,1,1],C=[-71/57600,0,71/16695,-71/1920,17253/339200,-22/525,.025],k=0,L,A,O=(n-t)/10,M=0,_=numeric.add,D=numeric.mul,P,H,B=Math.max,j=Math.min,F=Math.abs,I=numeric.norminf,q=Math.pow,R=numeric.any,U=numeric.lt,z=numeric.and,W=numeric.sub,X,V,$,J=new numeric.Dopri(a,f,l,g,-1,"");typeof u=="function"&&(X=u(t,r));while(t<n&&M<o){++M,t+O>n&&(O=n-t),c=i(t+N[0]*O,_(r,D(y*O,l[k]))),h=i(t+N[1]*O,_(_(r,D(b[0]*O,l[k])),D(b[1]*O,c))),p=i(t+N[2]*O,_(_(_(r,D(w[0]*O,l[k])),D(w[1]*O,c)),D(w[2]*O,h))),d=i(t+N[3]*O,_(_(_(_(r,D(E[0]*O,l[k])),D(E[1]*O,c)),D(E[2]*O,h)),D(E[3]*O,p))),v=i(t+N[4]*O,_(_(_(_(_(r,D(S[0]*O,l[k])),D(S[1]*O,c)),D(S[2]*O,h)),D(S[3]*O,p)),D(S[4]*O,d))),P=_(_(_(_(_(r,D(l[k],O*x[0])),D(h,O*x[2])),D(p,O*x[3])),D(d,O*x[4])),D(v,O*x[5])),m=i(t+O,P),L=_(_(_(_(_(D(l[k],O*C[0]),D(h,O*C[2])),D(p,O*C[3])),D(d,O*C[4])),D(v,O*C[5])),D(m,O*C[6])),typeof L=="number"?H=F(L):H=I(L);if(H>s){O=.2*O*q(s/H,.25);if(t+O===t){J.msg="Step size became too small";break}continue}g[k]=_(_(_(_(_(_(r,D(l[k],O*T[0])),D(h,O*T[2])),D(p,O*T[3])),D(d,O*T[4])),D(v,O*T[5])),D(m,O*T[6])),++k,a[k]=t+O,f[k]=P,l[k]=m;if(typeof u=="function"){var K,Q=t,G=t+.5*O,Y;V=u(G,g[k-1]),$=z(U(X,0),U(0,V)),R($)||(Q=G,G=t+O,X=V,V=u(G,P),$=z(U(X,0),U(0,V)));if(R($)){var Z,et,tt,nt,rt=0,it=1,st=1;for(;;){if(typeof 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a=numeric.sum,f=numeric.log,l=numeric.mul,c=numeric.sub,h=numeric.dot,p=numeric.div,d=numeric.add,v=t.length,m=r.length,g,y=!1,b,w=0,E=1,S,x,T=numeric.transpose(n),N=numeric.svd,C=numeric.transpose,k=numeric.leq,L=Math.sqrt,A=Math.abs,O=numeric.muleq,M=numeric.norminf,_=numeric.any,D=Math.min,P=numeric.all,H=numeric.gt,B=Array(v),j=Array(m),F=numeric.rep([m],1),I,q=numeric.solve,R=c(r,h(n,o)),U,z=h(t,t),W;for(U=w;U<s;++U){var X,V,$;for(X=m-1;X!==-1;--X)j[X]=p(n[X],R[X]);var J=C(j);for(X=v-1;X!==-1;--X)B[X]=a(J[X]);E=.25*A(z/h(t,B));var K=100*L(z/h(B,B));if(!isFinite(E)||E>K)E=K;W=d(t,l(E,B)),I=h(J,j);for(X=v-1;X!==-1;--X)I[X][X]+=1;$=q(I,p(W,E),!0);var Q=p(R,h(n,$)),G=1;for(X=m-1;X!==-1;--X)Q[X]<0&&(G=D(G,-0.999*Q[X]));g=c(o,l($,G)),R=c(r,h(n,g));if(!P(H(R,0)))return{solution:o,message:"",iterations:U};o=g;if(E<i)return{solution:g,message:"",iterations:U};if(u){var Y=h(t,W),Z=h(n,W);y=!0;for(X=m-1;X!==-1;--X)if(Y*Z[X]<0){y=!1;break}}else o[v-1]>=0?y=!1:y=!0;if(y)return{solution:g,message:"Unbounded",iterations:U}}return{solution:o,message:"maximum iteration count exceeded",iterations:U}},numeric._solveLP=function(t,n,r,i,s){var o=t.length,u=r.length,a,f=numeric.sum,l=numeric.log,c=numeric.mul,h=numeric.sub,p=numeric.dot,d=numeric.div,v=numeric.add,m=numeric.rep([o],0).concat([1]),g=numeric.rep([u,1],-1),y=numeric.blockMatrix([[n,g]]),b=r,a=numeric.rep([o],0).concat(Math.max(0,numeric.sup(numeric.neg(r)))+1),w=numeric.__solveLP(m,y,b,i,s,a,!1),E=numeric.clone(w.solution);E.length=o;var S=numeric.inf(h(r,p(n,E)));if(S<0)return{solution:NaN,message:"Infeasible",iterations:w.iterations};var x=numeric.__solveLP(t,n,r,i,s-w.iterations,E,!0);return x.iterations+=w.iterations,x},numeric.solveLP=function(t,n,r,i,s,o,u){typeof u=="undefined"&&(u=1e3),typeof o=="undefined"&&(o=numeric.epsilon);if(typeof i=="undefined")return numeric._solveLP(t,n,r,o,u);var 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i,s,o,u,a,f;for(s=1;s<=n;s+=1){r[1]=s,f=0,o=s-1;if(o<1){f=e[s][s]-f;if(f<=0)break;e[s][s]=Math.sqrt(f)}else{for(u=1;u<=o;u+=1){a=e[u][s];for(i=1;i<u;i+=1)a-=e[i][s]*e[i][u];a/=e[u][u],e[u][s]=a,f+=a*a}f=e[s][s]-f;if(f<=0)break;e[s][s]=Math.sqrt(f)}r[1]=0}}function o(e,t,n,o,u,a,f,l,c,h,p,d,v,m,g,y){function V(){m[1]=m[1]+1,E=L;for(b=1;b<=h;b+=1){E+=1,P=-l[b];for(w=1;w<=o;w+=1)P+=f[w][b]*u[w];Math.abs(P)<U&&(P=0);if(b>p)g[E]=P;else{g[E]=-Math.abs(P);if(P>0){for(w=1;w<=o;w+=1)f[w][b]=-f[w][b];l[b]=-l[b]}}}for(b=1;b<=v;b+=1)g[L+d[b]]=0;O=0,D=0;for(b=1;b<=h;b+=1)g[L+b]<D*g[_+b]&&(O=b,D=g[L+b]/g[_+b]);return O===0?999:0}function $(){for(b=1;b<=o;b+=1){P=0;for(w=1;w<=o;w+=1)P+=e[w][b]*f[w][O];g[b]=P}S=N;for(b=1;b<=o;b+=1)g[S+b]=0;for(w=v+1;w<=o;w+=1)for(b=1;b<=o;b+=1)g[S+b]=g[S+b]+e[b][w]*g[w];q=!0;for(b=v;b>=1;b-=1){P=g[b],E=k+b*(b+3)/2,S=E-b;for(w=b+1;w<=v;w+=1)P-=g[E]*g[C+w],E+=w;P/=g[S],g[C+b]=P;if(d[b]<p)break;if(P<0)break;q=!1,T=b}if(!q){H=g[A+T]/g[C+T];for(b=1;b<=v;b+=1){if(d[b]<p)break;if(g[C+b]<0)break;D=g[A+b]/g[C+b],D<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 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