numeric.min.js

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v=(u<<16)+o,g.push(v>>24&255),g.push(v>>16&255),g.push(v>>8&255),g.push(v&255),l=g.length-41,g[33]=l>>24&255,g[34]=l>>16&255,g[35]=l>>8&255,g[36]=l&255,m=r(g,37),g.push(m>>24&255),g.push(m>>16&255),g.push(m>>8&255),g.push(m&255),g.push(0),g.push(0),g.push(0),g.push(0),g.push(73),g.push(69),g.push(78),g.push(68),g.push(174),g.push(66),g.push(96),g.push(130),"data:image/png;base64,"+n(g)},numeric._dim=function(t){var n=[];while(typeof t=="object")n.push(t.length),t=t[0];return n},numeric.dim=function(t){var n,r;if(typeof t=="object")return n=t[0],typeof n=="object"?(r=n[0],typeof r=="object"?numeric._dim(t):[t.length,n.length]):[t.length];return[]},numeric.mapreduce=function(t,n){return Function("x","accum","_s","_k",'if(typeof accum === "undefined") accum = '+n+";\n"+'if(typeof x === "number") { var xi = x; '+t+"; return accum; }\n"+'if(typeof _s === "undefined") _s = numeric.dim(x);\n'+'if(typeof _k === "undefined") _k = 0;\n'+"var _n = _s[_k];\n"+"var i,xi;\n"+"if(_k < _s.length-1) {\n"+"    for(i=_n-1;i>=0;i--) {\n"+"        accum = arguments.callee(x[i],accum,_s,_k+1);\n"+"    }"+"    return accum;\n"+"}\n"+"for(i=_n-1;i>=1;i-=2) { \n"+"    xi = x[i];\n"+"    "+t+";\n"+"    xi = x[i-1];\n"+"    "+t+";\n"+"}\n"+"if(i === 0) {\n"+"    xi = x[i];\n"+"    "+t+"\n"+"}\n"+"return accum;")},numeric.mapreduce2=function(t,n){return Function("x","var n = x.length;\nvar i,xi;\n"+n+";\n"+"for(i=n-1;i!==-1;--i) { \n"+"    xi = x[i];\n"+"    "+t+";\n"+"}\n"+"return accum;")},numeric.same=function same(e,t){var n,r;if(e instanceof Array&&t instanceof Array){r=e.length;if(r!==t.length)return!1;for(n=0;n<r;n++){if(e[n]===t[n])continue;if(typeof e[n]!="object")return!1;if(!same(e[n],t[n]))return!1}return!0}return!1},numeric.rep=function(t,n,r){typeof r=="undefined"&&(r=0);var i=t[r],s=Array(i),o;if(r===t.length-1){for(o=i-2;o>=0;o-=2)s[o+1]=n,s[o]=n;return o===-1&&(s[0]=n),s}for(o=i-1;o>=0;o--)s[o]=numeric.rep(t,n,r+1);return s},numeric.dotMMsmall=function(t,n){var r,i,s,o,u,a,f,l,c,h,p,d,v,m;o=t.length,u=n.length,a=n[0].length,f=Array(o);for(r=o-1;r>=0;r--){l=Array(a),c=t[r];for(s=a-1;s>=0;s--){h=c[u-1]*n[u-1][s];for(i=u-2;i>=1;i-=2)p=i-1,h+=c[i]*n[i][s]+c[p]*n[p][s];i===0&&(h+=c[0]*n[0][s]),l[s]=h}f[r]=l}return f},numeric._getCol=function(t,n,r){var i=t.length,s;for(s=i-1;s>0;--s)r[s]=t[s][n],--s,r[s]=t[s][n];s===0&&(r[0]=t[0][n])},numeric.dotMMbig=function(t,n){var r=numeric._getCol,i=n.length,s=Array(i),o=t.length,u=n[0].length,a=new Array(o),f,l=numeric.dotVV,c,h,p,d;--i,--o;for(c=o;c!==-1;--c)a[c]=Array(u);--u;for(c=u;c!==-1;--c){r(n,c,s);for(h=o;h!==-1;--h)d=0,f=t[h],a[h][c]=l(f,s)}return a},numeric.dotMV=function(t,n){var r=t.length,i=n.length,s,o=Array(r),u=numeric.dotVV;for(s=r-1;s>=0;s--)o[s]=u(t[s],n);return o},numeric.dotVM=function(t,n){var r,i,s,o,u,a,f,l,c,h,p,d,v,m,g,y,b,w,E;o=t.length,u=n[0].length,f=Array(u);for(s=u-1;s>=0;s--){h=t[o-1]*n[o-1][s];for(i=o-2;i>=1;i-=2)p=i-1,h+=t[i]*n[i][s]+t[p]*n[p][s];i===0&&(h+=t[0]*n[0][s]),f[s]=h}return f},numeric.dotVV=function(t,n){var r,i=t.length,s,o=t[i-1]*n[i-1];for(r=i-2;r>=1;r-=2)s=r-1,o+=t[r]*n[r]+t[s]*n[s];return r===0&&(o+=t[0]*n[0]),o},numeric.dot=function(t,n){var r=numeric.dim;switch(r(t).length*1e3+r(n).length){case 2002:return n.length<10?numeric.dotMMsmall(t,n):numeric.dotMMbig(t,n);case 2001:return numeric.dotMV(t,n);case 1002:return numeric.dotVM(t,n);case 1001:return numeric.dotVV(t,n);case 1e3:return numeric.mulVS(t,n);case 1:return numeric.mulSV(t,n);case 0:return t*n;default:throw new Error("numeric.dot only works on vectors and matrices")}},numeric.diag=function(t){var n,r,i,s=t.length,o=Array(s),u;for(n=s-1;n>=0;n--){u=Array(s),r=n+2;for(i=s-1;i>=r;i-=2)u[i]=0,u[i-1]=0;i>n&&(u[i]=0),u[n]=t[n];for(i=n-1;i>=1;i-=2)u[i]=0,u[i-1]=0;i===0&&(u[0]=0),o[n]=u}return o},numeric.getDiag=function(e){var t=Math.min(e.length,e[0].length),n,r=Array(t);for(n=t-1;n>=1;--n)r[n]=e[n][n],--n,r[n]=e[n][n];return n===0&&(r[0]=e[0][0]),r},numeric.identity=function(t){return numeric.diag(numeric.rep([t],1))},numeric.pointwise=function(t,n,r){typeof r=="undefined"&&(r="");var i=[],s,o=/\[i\]$/,u,a="",f=!1;for(s=0;s<t.length;s++)o.test(t[s])?(u=t[s].substring(0,t[s].length-3),a=u):u=t[s],u==="ret"&&(f=!0),i.push(u);return i[t.length]="_s",i[t.length+1]="_k",i[t.length+2]='if(typeof _s === "undefined") _s = numeric.dim('+a+");\n"+'if(typeof _k === "undefined") _k = 0;\n'+"var _n = _s[_k];\n"+"var i"+(f?"":", ret = Array(_n)")+";\n"+"if(_k < _s.length-1) {\n"+"    for(i=_n-1;i>=0;i--) ret[i] = arguments.callee("+t.join(",")+",_s,_k+1);\n"+"    return ret;\n"+"}\n"+r+"\n"+"for(i=_n-1;i!==-1;--i) {\n"+"    "+n+"\n"+"}\n"+"return ret;",Function.apply(null,i)},numeric.pointwise2=function(t,n,r){typeof r=="undefined"&&(r="");var i=[],s,o=/\[i\]$/,u,a="",f=!1;for(s=0;s<t.length;s++)o.test(t[s])?(u=t[s].substring(0,t[s].length-3),a=u):u=t[s],u==="ret"&&(f=!0),i.push(u);return i[t.length]="var _n = "+a+".length;\n"+"var i"+(f?"":", ret = Array(_n)")+";\n"+r+"\n"+"for(i=_n-1;i!==-1;--i) {\n"+n+"\n"+"}\n"+"return ret;",Function.apply(null,i)},numeric._biforeach=function _biforeach(e,t,n,r,i){if(r===n.length-1){i(e,t);return}var s,o=n[r];for(s=o-1;s>=0;s--)_biforeach(typeof e=="object"?e[s]:e,typeof t=="object"?t[s]:t,n,r+1,i)},numeric._biforeach2=function _biforeach2(e,t,n,r,i){if(r===n.length-1)return i(e,t);var s,o=n[r],u=Array(o);for(s=o-1;s>=0;--s)u[s]=_biforeach2(typeof e=="object"?e[s]:e,typeof t=="object"?t[s]:t,n,r+1,i);return u},numeric._foreach=function _foreach(e,t,n,r){if(n===t.length-1){r(e);return}var i,s=t[n];for(i=s-1;i>=0;i--)_foreach(e[i],t,n+1,r)},numeric._foreach2=function _foreach2(e,t,n,r){if(n===t.length-1)return r(e);var i,s=t[n],o=Array(s);for(i=s-1;i>=0;i--)o[i]=_foreach2(e[i],t,n+1,r);return o},numeric.ops2={add:"+",sub:"-",mul:"*",div:"/",mod:"%",and:"&&",or:"||",eq:"===",neq:"!==",lt:"<",gt:">",leq:"<=",geq:">=",band:"&",bor:"|",bxor:"^",lshift:"<<",rshift:">>",rrshift:">>>"},numeric.opseq={addeq:"+=",subeq:"-=",muleq:"*=",diveq:"/=",modeq:"%=",lshifteq:"<<=",rshifteq:">>=",rrshifteq:">>>=",bandeq:"&=",boreq:"|=",bxoreq:"^="},numeric.mathfuns=["abs","acos","asin","atan","ceil","cos","exp","floor","log","round","sin","sqrt","tan","isNaN","isFinite"],numeric.mathfuns2=["atan2","pow","max","min"],numeric.ops1={neg:"-",not:"!",bnot:"~",clone:""},numeric.mapreducers={any:["if(xi) return true;","var accum = false;"],all:["if(!xi) return false;","var accum = true;"],sum:["accum += xi;","var accum = 0;"],prod:["accum *= xi;","var accum = 1;"],norm2Squared:["accum += xi*xi;","var accum = 0;"],norminf:["accum = max(accum,abs(xi));","var accum = 0, max = Math.max, abs = Math.abs;"],norm1:["accum += abs(xi)","var accum = 0, abs = Math.abs;"],sup:["accum = max(accum,xi);","var accum = -Infinity, max = Math.max;"],inf:["accum = min(accum,xi);","var accum = Infinity, min = Math.min;"]},function(){var e,t;for(e=0;e<numeric.mathfuns2.length;++e)t=numeric.mathfuns2[e],numeric.ops2[t]=t;for(e in numeric.ops2)if(numeric.ops2.hasOwnProperty(e)){t=numeric.ops2[e];var n,r,i="";numeric.myIndexOf.call(numeric.mathfuns2,e)!==-1?(i="var "+t+" = Math."+t+";\n",n=function(e,n,r){return e+" = "+t+"("+n+","+r+")"},r=function(e,n){return e+" = "+t+"("+e+","+n+")"}):(n=function(e,n,r){return e+" = "+n+" "+t+" "+r},numeric.opseq.hasOwnProperty(e+"eq")?r=function(e,n){return e+" "+t+"= "+n}:r=function(e,n){return e+" = "+e+" "+t+" "+n}),numeric[e+"VV"]=numeric.pointwise2(["x[i]","y[i]"],n("ret[i]","x[i]","y[i]"),i),numeric[e+"SV"]=numeric.pointwise2(["x","y[i]"],n("ret[i]","x","y[i]"),i),numeric[e+"VS"]=numeric.pointwise2(["x[i]","y"],n("ret[i]","x[i]","y"),i),numeric[e]=Function("var n = arguments.length, i, x = arguments[0], y;\nvar VV = numeric."+e+"VV, VS = numeric."+e+"VS, SV = numeric."+e+"SV;\n"+"var dim = numeric.dim;\n"+"for(i=1;i!==n;++i) { \n"+"  y = arguments[i];\n"+'  if(typeof x === "object") {\n'+'      if(typeof y === "object") x = numeric._biforeach2(x,y,dim(x),0,VV);\n'+"      else x = numeric._biforeach2(x,y,dim(x),0,VS);\n"+'  } else if(typeof y === "object") x = numeric._biforeach2(x,y,dim(y),0,SV);\n'+"  else "+r("x","y")+"\n"+"}\nreturn x;\n"),numeric[t]=numeric[e],numeric[e+"eqV"]=numeric.pointwise2(["ret[i]","x[i]"],r("ret[i]","x[i]"),i),numeric[e+"eqS"]=numeric.pointwise2(["ret[i]","x"],r("ret[i]","x"),i),numeric[e+"eq"]=Function("var n = arguments.length, i, x = arguments[0], y;\nvar V = numeric."+e+"eqV, S = numeric."+e+"eqS\n"+"var s = numeric.dim(x);\n"+"for(i=1;i!==n;++i) { \n"+"  y = arguments[i];\n"+'  if(typeof y === "object") numeric._biforeach(x,y,s,0,V);\n'+"  else numeric._biforeach(x,y,s,0,S);\n"+"}\nreturn x;\n")}for(e=0;e<numeric.mathfuns2.length;++e)t=numeric.mathfuns2[e],delete numeric.ops2[t];for(e=0;e<numeric.mathfuns.length;++e)t=numeric.mathfuns[e],numeric.ops1[t]=t;for(e in numeric.ops1)numeric.ops1.hasOwnProperty(e)&&(i="",t=numeric.ops1[e],numeric.myIndexOf.call(numeric.mathfuns,e)!==-1&&Math.hasOwnProperty(t)&&(i="var "+t+" = Math."+t+";\n"),numeric[e+"eqV"]=numeric.pointwise2(["ret[i]"],"ret[i] = "+t+"(ret[i]);",i),numeric[e+"eq"]=Function("x",'if(typeof x !== "object") return '+t+"x\n"+"var i;\n"+"var V = numeric."+e+"eqV;\n"+"var s = numeric.dim(x);\n"+"numeric._foreach(x,s,0,V);\n"+"return x;\n"),numeric[e+"V"]=numeric.pointwise2(["x[i]"],"ret[i] = "+t+"(x[i]);",i),numeric[e]=Function("x",'if(typeof x !== "object") return '+t+"(x)\n"+"var i;\n"+"var V = numeric."+e+"V;\n"+"var s = numeric.dim(x);\n"+"return numeric._foreach2(x,s,0,V);\n"));for(e=0;e<numeric.mathfuns.length;++e)t=numeric.mathfuns[e],delete numeric.ops1[t];for(e in numeric.mapreducers)numeric.mapreducers.hasOwnProperty(e)&&(t=numeric.mapreducers[e],numeric[e+"V"]=numeric.mapreduce2(t[0],t[1]),numeric[e]=Function("x","s","k",t[1]+'if(typeof x !== "object") {'+"    xi = x;\n"+t[0]+";\n"+"    return accum;\n"+"}"+'if(typeof s === "undefined") s = numeric.dim(x);\n'+'if(typeof k === "undefined") k = 0;\n'+"if(k === s.length-1) return numeric."+e+"V(x);\n"+"var xi;\n"+"var n = x.length, i;\n"+"for(i=n-1;i!==-1;--i) {\n"+"   xi = arguments.callee(x[i]);\n"+t[0]+";\n"+"}\n"+"return accum;\n"))}(),numeric.truncVV=numeric.pointwise(["x[i]","y[i]"],"ret[i] = round(x[i]/y[i])*y[i];","var round = Math.round;"),numeric.truncVS=numeric.pointwise(["x[i]","y"],"ret[i] = round(x[i]/y)*y;","var round = Math.round;"),numeric.truncSV=numeric.pointwise(["x","y[i]"],"ret[i] = round(x/y[i])*y[i];","var round = Math.round;"),numeric.trunc=function(t,n){return typeof t=="object"?typeof n=="object"?numeric.truncVV(t,n):numeric.truncVS(t,n):typeof n=="object"?numeric.truncSV(t,n):Math.round(t/n)*n},numeric.inv=function(t){var n=numeric.dim(t),r=Math.abs,i=n[0],s=n[1],o=numeric.clone(t),u,a,f=numeric.identity(i),l,c,h,p,d,t;for(p=0;p<s;++p){var v=-1,m=-1;for(h=p;h!==i;++h)d=r(o[h][p]),d>m&&(v=h,m=d);a=o[v],o[v]=o[p],o[p]=a,c=f[v],f[v]=f[p],f[p]=c,t=a[p];for(d=p;d!==s;++d)a[d]/=t;for(d=s-1;d!==-1;--d)c[d]/=t;for(h=i-1;h!==-1;--h)if(h!==p){u=o[h],l=f[h],t=u[p];for(d=p+1;d!==s;++d)u[d]-=a[d]*t;for(d=s-1;d>0;--d)l[d]-=c[d]*t,--d,l[d]-=c[d]*t;d===0&&(l[0]-=c[0]*t)}}return f},numeric.det=function(t){var n=numeric.dim(t);if(n.length!==2||n[0]!==n[1])throw new Error("numeric: det() only works on square matrices");var r=n[0],i=1,s,o,u,a=numeric.clone(t),f,l,c,h,p,d,v;for(o=0;o<r-1;o++){u=o;for(s=o+1;s<r;s++)Math.abs(a[s][o])>Math.abs(a[u][o])&&(u=s);u!==o&&(h=a[u],a[u]=a[o],a[o]=h,i*=-1),f=a[o];for(s=o+1;s<r;s++){l=a[s],c=l[o]/f[o];for(u=o+1;u<r-1;u+=2)p=u+1,l[u]-=f[u]*c,l[p]-=f[p]*c;u!==r&&(l[u]-=f[u]*c)}if(f[o]===0)return 0;i*=f[o]}return i*a[o][o]},numeric.transpose=function(t){var n,r,i=t.length,s=t[0].length,o=Array(s),u,a,f;for(r=0;r<s;r++)o[r]=Array(i);for(n=i-1;n>=1;n-=2){a=t[n],u=t[n-1];for(r=s-1;r>=1;--r)f=o[r],f[n]=a[r],f[n-1]=u[r],--r,f=o[r],f[n]=a[r],f[n-1]=u[r];r===0&&(f=o[0],f[n]=a[0],f[n-1]=u[0])}if(n===0){u=t[0];for(r=s-1;r>=1;--r)o[r][0]=u[r],--r,o[r][0]=u[r];r===0&&(o[0][0]=u[0])}return o},numeric.negtranspose=function(t){var n,r,i=t.length,s=t[0].length,o=Array(s),u,a,f;for(r=0;r<s;r++)o[r]=Array(i);for(n=i-1;n>=1;n-=2){a=t[n],u=t[n-1];for(r=s-1;r>=1;--r)f=o[r],f[n]=-a[r],f[n-1]=-u[r],--r,f=o[r],f[n]=-a[r],f[n-1]=-u[r];r===0&&(f=o[0],f[n]=-a[0],f[n-1]=-u[0])}if(n===0){u=t[0];for(r=s-1;r>=1;--r)o[r][0]=-u[r],--r,o[r][0]=-u[r];r===0&&(o[0][0]=-u[0])}return o},numeric._random=function _random(e,t){var n,r=e[t],i=Array(r),s;if(t===e.length-1){s=Math.random;for(n=r-1;n>=1;n-=2)i[n]=s(),i[n-1]=s();return n===0&&(i[0]=s()),i}for(n=r-1;n>=0;n--)i[n]=_random(e,t+1);return i},numeric.random=function(t){return numeric._random(t,0)},numeric.norm2=function(t){return Math.sqrt(numeric.norm2Squared(t))},numeric.linspace=function(t,n,r){typeof r=="undefined"&&(r=Math.max(Math.round(n-t)+1,1));if(r<2)return r===1?[t]:[];var i,s=Array(r);r--;for(i=r;i>=0;i--)s[i]=(i*n+(r-i)*t)/r;return s},numeric.getBlock=function(t,n,r){function s(e,t){var o,u=n[t],a=r[t]-u,f=Array(a);if(t===i.length-1){for(o=a;o>=0;o--)f[o]=e[o+u];return f}for(o=a;o>=0;o--)f[o]=s(e[o+u],t+1);return f}var i=numeric.dim(t);return s(t,0)},numeric.setBlock=function(t,n,r,i){function o(e,t,i){var u,a=n[i],f=r[i]-a;if(i===s.length-1)for(u=f;u>=0;u--)e[u+a]=t[u];for(u=f;u>=0;u--)o(e[u+a],t[u],i+1)}var s=numeric.dim(t);return o(t,i,0),t},numeric.getRange=function(t,n,r){var i=n.length,s=r.length,o,u,a=Array(i),f,l;for(o=i-1;o!==-1;--o){a[o]=Array(s),f=a[o],l=t[n[o]];for(u=s-1;u!==-1;--u)f[u]=l[r[u]]}return a},numeric.blockMatrix=function(t){var n=numeric.dim(t);if(n.length<4)return 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) {"+"  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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 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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 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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 X=="number")Y=(st*V*Q-it*X*G)/(st*V-it*X);else{Y=G;for(A=X.length-1;A!==-1;--A)X[A]<0&&V[A]>0&&(Y=j(Y,(st*V[A]*Q-it*X[A]*G)/(st*V[A]-it*X[A])))}if(Y<=Q||Y>=G)break;K=J._at(Y,k-1),nt=u(Y,K),tt=z(U(X,0),U(0,nt)),R(tt)?(G=Y,V=nt,$=tt,st=1,rt===-1?it*=.5:it=1,rt=-1):(Q=Y,X=nt,it=1,rt===1?st*=.5:st=1,rt=1)}return P=J._at(.5*(t+Y),k-1),J.f[k]=i(Y,K),J.x[k]=Y,J.y[k]=K,J.ymid[k-1]=P,J.events=$,J.iterations=M,J}}t+=O,r=P,X=V,O=j(.8*O*q(s/H,.25),4*O)}return J.iterations=M,J},numeric.LU=function(e,t){t=t||!1;var n=Math.abs,r,i,s,o,u,a,f,l,c,h=e.length,p=h-1,d=new Array(h);t||(e=numeric.clone(e));for(s=0;s<h;++s){f=s,a=e[s],c=n(a[s]);for(i=s+1;i<h;++i)o=n(e[i][s]),c<o&&(c=o,f=i);d[s]=f,f!=s&&(e[s]=e[f],e[f]=a,a=e[s]),u=a[s];for(r=s+1;r<h;++r)e[r][s]/=u;for(r=s+1;r<h;++r){l=e[r];for(i=s+1;i<p;++i)l[i]-=l[s]*a[i],++i,l[i]-=l[s]*a[i];i===p&&(l[i]-=l[s]*a[i])}}return{LU:e,P:d}},numeric.LUsolve=function(t,n){var r,i,s=t.LU,o=s.length,u=numeric.clone(n),a=t.P,f,l,c,h;for(r=o-1;r!==-1;--r)u[r]=n[r];for(r=0;r<o;++r){f=a[r],a[r]!==r&&(h=u[r],u[r]=u[f],u[f]=h),l=s[r];for(i=0;i<r;++i)u[r]-=u[i]*l[i]}for(r=o-1;r>=0;--r){l=s[r];for(i=r+1;i<o;++i)u[r]-=u[i]*l[i];u[r]/=l[r]}return u},numeric.solve=function(t,n,r){return numeric.LUsolve(numeric.LU(t,r),n)},numeric.echelonize=function(t){var n=numeric.dim(t),r=n[0],i=n[1],s=numeric.identity(r),o=Array(r),u,a,f,l,c,h,p,d,v=Math.abs,m=numeric.diveq;t=numeric.clone(t);for(u=0;u<r;++u){f=0,c=t[u],h=s[u];for(a=1;a<i;++a)v(c[f])<v(c[a])&&(f=a);o[u]=f,m(h,c[f]),m(c,c[f]);for(a=0;a<r;++a)if(a!==u){p=t[a],d=p[f];for(l=i-1;l!==-1;--l)p[l]-=c[l]*d;p=s[a];for(l=r-1;l!==-1;--l)p[l]-=h[l]*d}}return{I:s,A:t,P:o}},numeric.__solveLP=function(t,n,r,i,s,o,u){var 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 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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 700}v+=1,d[v]=O,E=k+(v-1)*v/2+1;for(b=1;b<=v-1;b+=1)g[E]=g[b],E+=1;if(v===o)g[E]=g[o];else{for(b=o;b>=v+1;b-=1){if(g[b]===0)break;j=Math.max(Math.abs(g[b-1]),Math.abs(g[b])),F=Math.min(Math.abs(g[b-1]),Math.abs(g[b])),g[b-1]>=0?D=Math.abs(j*Math.sqrt(1+F*F/(j*j))):D=-Math.abs(j*Math.sqrt(1+F*F/(j*j))),j=g[b-1]/D,F=g[b]/D;if(j===1)break;if(j===0){g[b-1]=F*D;for(w=1;w<=o;w+=1)D=e[w][b-1],e[w][b-1]=e[w][b],e[w][b]=D}else{g[b-1]=D,I=F/(1+j);for(w=1;w<=o;w+=1)D=j*e[w][b-1]+F*e[w][b],e[w][b]=I*(e[w][b-1]+D)-e[w][b],e[w][b-1]=D}}g[E]=g[v]}return 0}function J(){E=k+T*(T+1)/2+1,S=E+T;if(g[S]===0)return 798;j=Math.max(Math.abs(g[S-1]),Math.abs(g[S])),F=Math.min(Math.abs(g[S-1]),Math.abs(g[S])),g[S-1]>=0?D=Math.abs(j*Math.sqrt(1+F*F/(j*j))):D=-Math.abs(j*Math.sqrt(1+F*F/(j*j))),j=g[S-1]/D,F=g[S]/D;if(j===1)return 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U+=U,z=1+.1*U,W=1+.2*U;while(z<=1||W<=1);for(b=1;b<=o;b+=1)g[b]=t[b];for(b=o+1;b<=E;b+=1)g[b]=0;for(b=1;b<=h;b+=1)d[b]=0;x=[];if(y[1]===0){s(e,n,o,x);if(x[1]!==0){y[1]=2;return}i(e,n,o,t),r(e,n,o)}else{for(w=1;w<=o;w+=1){u[w]=0;for(b=1;b<=w;b+=1)u[w]=u[w]+e[b][w]*t[b]}for(w=1;w<=o;w+=1){t[w]=0;for(b=w;b<=o;b+=1)t[w]=t[w]+e[w][b]*u[b]}}a[1]=0;for(w=1;w<=o;w+=1){u[w]=t[w],a[1]=a[1]+g[w]*u[w],g[w]=0;for(b=w+1;b<=o;b+=1)e[b][w]=0}a[1]=-a[1]/2,y[1]=0,N=o,C=N+o,A=C+M,k=A+M+1,L=k+M*(M+1)/2,_=L+h;for(b=1;b<=h;b+=1){P=0;for(w=1;w<=o;w+=1)P+=f[w][b]*f[w][b];g[_+b]=Math.sqrt(P)}v=0,m[1]=0,m[2]=0,X=0;for(;;){X=V();if(X===999)return;for(;;){X=$();if(X===0)break;if(X===999)return;if(X===700)if(T===v)Q();else{for(;;){J(),X=K();if(X!==797)break}Q()}}}}function u(e,r,i,s,u,a){e=t(e),r=t(r),i=t(i);var f,l,c,h,p,d=[],v=[],m=[],g=[],y=[],b;u=u||0,a=a?t(a):[undefined,0],s=s?t(s):[],l=e.length-1,c=i[1].length-1;if(!s)for(f=1;f<=c;f+=1)s[f]=0;for(f=1;f<=c;f+=1)v[f]=0;h=0,p=Math.min(l,c);for(f=1;f<=l;f+=1)m[f]=0;d[1]=0;for(f=1;f<=2*l+p*(p+5)/2+2*c+1;f+=1)g[f]=0;for(f=1;f<=2;f+=1)y[f]=0;return o(e,r,l,l,m,d,i,s,l,c,u,v,h,y,g,a),b="",a[1]===1&&(b="constraints are inconsistent, no solution!"),a[1]===2&&(b="matrix D in quadratic function is not positive definite!"),{solution:n(m),value:n(d),unconstrained_solution:n(r),iterations:n(y),iact:n(v),message:b}}e.solveQP=u}(numeric),numeric.svd=function(t){function g(e,t){return e=Math.abs(e),t=Math.abs(t),e>t?e*Math.sqrt(1+t*t/e/e):t==0?e:t*Math.sqrt(1+e*e/t/t)}var n,r=numeric.epsilon,i=1e-64/r,s=50,o=0,u=0,a=0,f=0,l=0,c=numeric.clone(t),h=c.length,p=c[0].length;if(h<p)throw"Need more rows than columns";var d=new Array(p),v=new Array(p);for(u=0;u<p;u++)d[u]=v[u]=0;var m=numeric.rep([p,p],0),y=0,b=0,w=0,E=0,S=0,x=0,T=0;for(u=0;u<p;u++){d[u]=b,T=0,l=u+1;for(a=u;a<h;a++)T+=c[a][u]*c[a][u];if(T<=i)b=0;else{y=c[u][u],b=Math.sqrt(T),y>=0&&(b=-b),w=y*b-T,c[u][u]=y-b;for(a=l;a<p;a++){T=0;for(f=u;f<h;f++)T+=c[f][u]*c[f][a];y=T/w;for(f=u;f<h;f++)c[f][a]+=y*c[f][u]}}v[u]=b,T=0;for(a=l;a<p;a++)T+=c[u][a]*c[u][a];if(T<=i)b=0;else{y=c[u][u+1],b=Math.sqrt(T),y>=0&&(b=-b),w=y*b-T,c[u][u+1]=y-b;for(a=l;a<p;a++)d[a]=c[u][a]/w;for(a=l;a<h;a++){T=0;for(f=l;f<p;f++)T+=c[a][f]*c[u][f];for(f=l;f<p;f++)c[a][f]+=T*d[f]}}S=Math.abs(v[u])+Math.abs(d[u]),S>E&&(E=S)}for(u=p-1;u!=-1;u+=-1){if(b!=0){w=b*c[u][u+1];for(a=l;a<p;a++)m[a][u]=c[u][a]/w;for(a=l;a<p;a++){T=0;for(f=l;f<p;f++)T+=c[u][f]*m[f][a];for(f=l;f<p;f++)m[f][a]+=T*m[f][u]}}for(a=l;a<p;a++)m[u][a]=0,m[a][u]=0;m[u][u]=1,b=d[u],l=u}for(u=p-1;u!=-1;u+=-1){l=u+1,b=v[u];for(a=l;a<p;a++)c[u][a]=0;if(b!=0){w=c[u][u]*b;for(a=l;a<p;a++){T=0;for(f=l;f<h;f++)T+=c[f][u]*c[f][a];y=T/w;for(f=u;f<h;f++)c[f][a]+=y*c[f][u]}for(a=u;a<h;a++)c[a][u]=c[a][u]/b}else for(a=u;a<h;a++)c[a][u]=0;c[u][u]+=1}r*=E;for(f=p-1;f!=-1;f+=-1)for(var N=0;N<s;N++){var C=!1;for(l=f;l!=-1;l+=-1){if(Math.abs(d[l])<=r){C=!0;break}if(Math.abs(v[l-1])<=r)break}if(!C){o=0,T=1;var k=l-1;for(u=l;u<f+1;u++){y=T*d[u],d[u]=o*d[u];if(Math.abs(y)<=r)break;b=v[u],w=g(y,b),v[u]=w,o=b/w,T=-y/w;for(a=0;a<h;a++)S=c[a][k],x=c[a][u],c[a][k]=S*o+x*T,c[a][u]=-S*T+x*o}}x=v[f];if(l==f){if(x<0){v[f]=-x;for(a=0;a<p;a++)m[a][f]=-m[a][f]}break}if(N>=s-1)throw"Error: no convergence.";E=v[l],S=v[f-1],b=d[f-1],w=d[f],y=((S-x)*(S+x)+(b-w)*(b+w))/(2*w*S),b=g(y,1),y<0?y=((E-x)*(E+x)+w*(S/(y-b)-w))/E:y=((E-x)*(E+x)+w*(S/(y+b)-w))/E,o=1,T=1;for(u=l+1;u<f+1;u++){b=d[u],S=v[u],w=T*b,b=o*b,x=g(y,w),d[u-1]=x,o=y/x,T=w/x,y=E*o+b*T,b=-E*T+b*o,w=S*T,S*=o;for(a=0;a<p;a++)E=m[a][u-1],x=m[a][u],m[a][u-1]=E*o+x*T,m[a][u]=-E*T+x*o;x=g(y,w),v[u-1]=x,o=y/x,T=w/x,y=o*b+T*S,E=-T*b+o*S;for(a=0;a<h;a++)S=c[a][u-1],x=c[a][u],c[a][u-1]=S*o+x*T,c[a][u]=-S*T+x*o}d[l]=0,d[f]=y,v[f]=E}for(u=0;u<v.length;u++)v[u]<r&&(v[u]=0);for(u=0;u<p;u++)for(a=u-1;a>=0;a--)if(v[a]<v[u]){o=v[a],v[a]=v[u],v[u]=o;for(f=0;f<c.length;f++)n=c[f][u],c[f][u]=c[f][a],c[f][a]=n;for(f=0;f<m.length;f++)n=m[f][u],m[f][u]=m[f][a],m[f][a]=n;u=a}return{U:c,S:v,V:m}};