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i=0,j=d.length,k=[],l=[],m=[],n,o,p,q,r;for(;i<j;i++){k[i]=[],l[i]=[],m[i]=[];for(n=0;n<j;n++)i>n?(k[i][n]=d[i][n],l[i][n]=m[i][n]=0):i<n?(l[i][n]=d[i][n],k[i][n]=m[i][n]=0):(m[i][n]=d[i][n],k[i][n]=l[i][n]=0)}q=a.multiply(a.inv(a.add(m,a.multiply(k,h))),a.subtract(a.multiply(m,1-h),a.multiply(l,h))),p=a.multiply(a.multiply(a.inv(a.add(m,a.multiply(k,h))),e),h),o=f,r=a.add(a.multiply(q,f),p),i=2;while(b.abs(a.norm(a.subtract(r,o)))>g)o=r,r=a.add(a.multiply(q,o),p),i++;return r},householder:function(d){var e=d.length,f=d[0].length,g=0,h=[],i=[],j,k,l,m,n;for(;g<e-1;g++){j=0;for(m=g+1;m<f;m++)j+=d[m][g]*d[m][g];n=d[g+1][g]>0?-1:1,j=n*b.sqrt(j),k=b.sqrt((j*j-d[g+1][g]*j)/2),h=a.zeros(e,1),h[g+1][0]=(d[g+1][g]-j)/(2*k);for(l=g+2;l<e;l++)h[l][0]=d[l][g]/(2*k);i=a.subtract(a.identity(e,f),a.multiply(a.multiply(h,a.transpose(h)),2)),d=a.multiply(i,a.multiply(d,i))}return d},QR:function(d,e){var f=d.length,g=d[0].length,h=0,i=[],j=[],k=[],l,m,n,o,p,q;for(;h<f-1;h++){m=0;for(l=h+1;l<g;l++)m+=d[l][h]*d[l][h];p=d[h+1][h]>0?-1:1,m=p*b.sqrt(m),n=b.sqrt((m*m-d[h+1][h]*m)/2),i=a.zeros(f,1),i[h+1][0]=(d[h+1][h]-m)/(2*n);for(o=h+2;o<f;o++)i[o][0]=d[o][h]/(2*n);j=a.subtract(a.identity(f,g),a.multiply(a.multiply(i,a.transpose(i)),2)),d=a.multiply(j,d),e=a.multiply(j,e)}for(h=f-1;h>=0;h--){q=0;for(l=h+1;l<=g-1;l++)q=k[l]*d[h][l];k[h]=e[h][0]/d[h][h]}return k},jacobi:function(d){var e=1,f=0,g=d.length,h=a.identity(g,g),i=[],j,k,l,m,n,o,p,q;while(e===1){f++,o=d[0][1],m=0,n=1;for(k=0;k<g;k++)for(l=0;l<g;l++)k!=l&&o<b.abs(d[k][l])&&(o=b.abs(d[k][l]),m=k,n=l);d[m][m]===d[n][n]?p=d[m][n]>0?b.PI/4:-b.PI/4:p=b.atan(2*d[m][n]/(d[m][m]-d[n][n]))/2,q=a.identity(g,g),q[m][m]=b.cos(p),q[m][n]=-b.sin(p),q[n][m]=b.sin(p),q[n][n]=b.cos(p),h=a.multiply(h,q),j=a.multiply(a.multiply(a.inv(q),d),q),d=j,e=0;for(k=1;k<g;k++)for(l=1;l<g;l++)k!=l&&b.abs(d[k][l])>.001&&(e=1)}for(k=0;k<g;k++)i.push(d[k][k]);return[h,i]},rungekutta:function(b,c,d,e,f,g){var h,i,j,k,l;if(g===2)while(e<=d)h=c*b(e,f),i=c*b(e+c,f+h),j=f+(h+i)/2,f=j,e+=c;if(g===4)while(e<=d)h=c*b(e,f),i=c*b(e+c/2,f+h/2),k=c*b(e+c/2,f+i/2),l=c*b(e+c,f+k),j=f+(h+2*i+2*k+l)/6,f=j,e+=c;return f},romberg:function(c,d,e,f){var g=0,h=(e-d)/2,i=[],j=[],k=[],l,m,n,o,p,q;while(g<f/2){p=c(d);for(n=d,o=0;n<=e;n+=h,o++)i[o]=n;l=i.length;for(n=1;n<l-1;n++)p+=(n%2!==0?4:2)*c(i[n]);p=h/3*(p+c(e)),k[g]=p,h/=2,g++}m=k.length,l=1;while(m!==1){for(n=0;n<m-1;n++)j[n]=(b.pow(4,l)*k[n+1]-k[n])/(b.pow(4,l)-1);m=j.length,k=j,j=[],l++}return k},richardson:function(c,d,e,f){function g(a,b){var c=0,d=a.length,e;for(;c<d;c++)a[c]===b&&(e=c);return e}var h=c.length,i=b.abs(e-c[g(c,e)+1]),j=0,k=[],l=[],m,n,o,p,q;while(f>=i)m=g(c,e+f),n=g(c,e),k[j]=(d[m]-2*d[n]+d[2*n-m])/(f*f),f/=2,j++;p=k.length,o=1;while(p!=1){for(q=0;q<p-1;q++)l[q]=(b.pow(4,o)*k[q+1]-k[q])/(b.pow(4,o)-1);p=l.length,k=l,l=[],o++}return k},simpson:function(b,c,d,e){var f=(d-c)/e,g=b(c),h=[],i=c,j=0,k=1,l;for(;i<=d;i+=f,j++)h[j]=i;l=h.length;for(;k<l-1;k++)g+=(k%2!==0?4:2)*b(h[k]);return f/3*(g+b(d))},hermite:function(b,c,d,e){var f=b.length,g=0,h=0,i=[],j=[],k=[],l=[],m;for(;h<f;h++){i[h]=1;for(m=0;m<f;m++)h!=m&&(i[h]*=(e-b[m])/(b[h]-b[m]));j[h]=0;for(m=0;m<f;m++)h!=m&&(j[h]+=1/(b[h]-b[m]));k[h]=(1-2*(e-b[h])*j[h])*i[h]*i[h],l[h]=(e-b[h])*i[h]*i[h],g+=k[h]*c[h]+l[h]*d[h]}return g},lagrange:function(b,c,d){var e=0,f=0,g,h,i=b.length;for(;f<i;f++){h=c[f];for(g=0;g<i;g++)f!=g&&(h*=(d-b[g])/(b[f]-b[g]));e+=h}return e},cubic_spline:function(c,d,e){var f=c.length,g=0,h,i=[],j=[],k=[],l=[],m=[],n=[],o=[];for(;g<f-1;g++)m[g]=c[g+1]-c[g];k[0]=0;for(g=1;g<f-1;g++)k[g]=3/m[g]*(d[g+1]-d[g])-3/m[g-1]*(d[g]-d[g-1]);for(g=1;g<f-1;g++)i[g]=[],j[g]=[],i[g][g-1]=m[g-1],i[g][g]=2*(m[g-1]+m[g]),i[g][g+1]=m[g],j[g][0]=k[g];l=a.multiply(a.inv(i),j);for(h=0;h<f-1;h++)n[h]=(d[h+1]-d[h])/m[h]-m[h]*(l[h+1][0]+2*l[h][0])/3,o[h]=(l[h+1][0]-l[h][0])/(3*m[h]);for(h=0;h<f;h++)if(c[h]>e)break;return h-=1,d[h]+(e-c[h])*n[h]+a.sq(e-c[h])*l[h]+(e-c[h])*a.sq(e-c[h])*o[h]},gauss_quadrature:function(){throw new Error("gauss_quadrature not yet implemented")},PCA:function(c){var d=c.length,e=c[0].length,f=!1,g=0,h,i,j=[],k=[],l=[],m=[],n=[],o=[],p=[],q=[],r=[],s=[];for(g=0;g<d;g++)j[g]=a.sum(c[g])/e;for(g=0;g<e;g++){p[g]=[];for(h=0;h<d;h++)p[g][h]=c[h][g]-j[h]}p=a.transpose(p);for(g=0;g<d;g++){q[g]=[];for(h=0;h<d;h++)q[g][h]=a.dot([p[g]],[p[h]])/(e-1)}l=a.jacobi(q),r=l[0],k=l[1],s=a.transpose(r);for(g=0;g<k.length;g++)for(h=g;h<k.length;h++)k[g]<k[h]&&(i=k[g],k[g]=k[h],k[h]=i,m=s[g],s[g]=s[h],s[h]=m);o=a.transpose(p);for(g=0;g<d;g++){n[g]=[];for(h=0;h<o.length;h++)n[g][h]=a.dot([s[g]],[o[h]])}return[c,k,s,n]}}),function(b){for(var c=0;c<b.length;c++)(function(b){a.fn[b]=function(c,d){var e=this;return d?(setTimeout(function(){d.call(e,a.fn[b].call(e,c))},15),this):typeof a[b](this,c)=="number"?a[b](this,c):a(a[b](this,c))}})(b[c])}("add divide multiply subtract dot pow abs norm angle".split(" "))}(this.jStat,Math),function(a,b){var c=[].slice,d=a.utils.isNumber;a.extend({zscore:function(){var e=c.call(arguments);return d(e[1])?(e[0]-e[1])/e[2]:(e[0]-a.mean(e[1]))/a.stdev(e[1],e[2])},ztest:function(){var f=c.call(arguments);if(f.length===4){if(d(f[1])){var g=a.zscore(f[0],f[1],f[2]);return f[3]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2}var g=f[0];return f[2]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2}var g=a.zscore(f[0],f[1],f[3]);return f[1]===1?a.normal.cdf(-b.abs(g),0,1):a.normal.cdf(-b.abs(g),0,1)*2}}),a.extend(a.fn,{zscore:function(b,c){return(b-this.mean())/this.stdev(c)},ztest:function(d,e,f){var g=b.abs(this.zscore(d,f));return e===1?a.normal.cdf(-g,0,1):a.normal.cdf(-g,0,1)*2}}),a.extend({tscore:function(){var e=c.call(arguments);return e.length===4?(e[0]-e[1])/(e[2]/b.sqrt(e[3])):(e[0]-a.mean(e[1]))/(a.stdev(e[1],!0)/b.sqrt(e[1].length))},ttest:function(){var f=c.call(arguments),g;return f.length===5?(g=b.abs(a.tscore(f[0],f[1],f[2],f[3])),f[4]===1?a.studentt.cdf(-g,f[3]-1):a.studentt.cdf(-g,f[3]-1)*2):d(f[1])?(g=b.abs(f[0]),f[2]==1?a.studentt.cdf(-g,f[1]-1):a.studentt.cdf(-g,f[1]-1)*2):(g=b.abs(a.tscore(f[0],f[1])),f[2]==1?a.studentt.cdf(-g,f[1].length-1):a.studentt.cdf(-g,f[1].length-1)*2)}}),a.extend(a.fn,{tscore:function(c){return(c-this.mean())/(this.stdev(!0)/b.sqrt(this.cols()))},ttest:function(d,e){return e===1?1-a.studentt.cdf(b.abs(this.tscore(d)),this.cols()-1):a.studentt.cdf(-b.abs(this.tscore(d)),this.cols()-1)*2}}),a.extend({anovafscore:function(){var e=c.call(arguments),f,g,h,i,j,k,l,m;if(e.length===1){j=new Array(e[0].length);for(l=0;l<e[0].length;l++)j[l]=e[0][l];e=j}if(e.length===2)return a.variance(e
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