// === Sylvester ===
// Vector and Matrix mathematics modules for JavaScript
// Copyright (c) 2007 James Coglan
// 
// Permission is hereby granted, free of charge, to any person obtaining
// a copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
// 
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
// 
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.

var Sylvester={version:"0.1.3",precision:0.000001};function Matrix(){}Matrix.prototype={e:function(b,a){if(b<1||b>this.elements.length||a<1||a>this.elements[0].length){return null}return this.elements[b-1][a-1]},map:function(f){var e=[],d=this.elements.length,h=d,c,b,g=this.elements[0].length,a;do{c=h-d;b=g;e[c]=[];do{a=g-b;e[c][a]=f(this.elements[c][a],c+1,a+1)}while(--b)}while(--d);return Matrix.create(e)},canMultiplyFromLeft:function(a){var b=a.elements||a;if(typeof(b[0][0])=="undefined"){b=Matrix.create(b).elements}return(this.elements[0].length==b.length)},multiply:function(q){if(!q.elements){return this.map(function(c){return c*q})}var h=q.modulus?true:false;var n=q.elements||q;if(typeof(n[0][0])=="undefined"){n=Matrix.create(n).elements}if(!this.canMultiplyFromLeft(n)){return null}var e=this.elements.length,f=e,l,b,d=n[0].length,g;var p=this.elements[0].length,a=[],m,k,o;do{l=f-e;a[l]=[];b=d;do{g=d-b;m=0;k=p;do{o=p-k;m+=this.elements[l][o]*n[o][g]}while(--k);a[l][g]=m}while(--b)}while(--e);var n=Matrix.create(a);return h?n.col(1):n},x:function(a){return this.multiply(a)},setElements:function(h){var m,a=h.elements||h;if(typeof(a[0][0])!="undefined"){var d=a.length,f=d,b,c,l;this.elements=[];do{m=f-d;b=a[m].length;c=b;this.elements[m]=[];do{l=c-b;this.elements[m][l]=a[m][l]}while(--b)}while(--d);return this}var e=a.length,g=e;this.elements=[];do{m=g-e;this.elements.push([a[m]])}while(--e);return this}};Matrix.create=function(a){var b=new Matrix();return b.setElements(a)};var $M=Matrix.create;