root / trunk / web / dojo / dojox / math / _base.js
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| 1 | 9 | andrej.cim | /*
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| 2 | Copyright (c) 2004-2010, The Dojo Foundation All Rights Reserved.
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| 3 | Available via Academic Free License >= 2.1 OR the modified BSD license.
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| 4 | see: http://dojotoolkit.org/license for details
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| 5 | */
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| 6 | |||
| 7 | |||
| 8 | if(!dojo._hasResource["dojox.math._base"]){ |
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| 9 | dojo._hasResource["dojox.math._base"]=true; |
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| 10 | dojo.provide("dojox.math._base");
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| 11 | (function(){
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| 12 | var m=dojox.math;
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| 13 | dojo.mixin(dojox.math,{toRadians:function(n){
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| 14 | return (n*Math.PI)/180; |
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| 15 | },toDegrees:function(n){ |
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| 16 | return (n*180)/Math.PI; |
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| 17 | },degreesToRadians:function(n){ |
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| 18 | return m.toRadians(n);
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| 19 | },radiansToDegrees:function(n){ |
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| 20 | return m.toDegrees(n);
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| 21 | },_gamma:function(z){ |
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| 22 | var _1=1; |
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| 23 | while(--z>=1){ |
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| 24 | _1*=z; |
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| 25 | } |
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| 26 | if(z==0){ |
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| 27 | return _1;
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| 28 | } |
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| 29 | if(Math.floor(z)==z){
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| 30 | return NaN; |
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| 31 | } |
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| 32 | if(z==-0.5){ |
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| 33 | return Math.sqrt(Math.PI);
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| 34 | } |
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| 35 | if(z<-0.5){ |
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| 36 | return Math.PI/(Math.sin(Math.PI*(z+1))*this._gamma(-z)); |
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| 37 | } |
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| 38 | var a=13; |
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| 39 | var c=[0.000005665805601518633,1.274371766337968,-4.937419909315511,7.872026703248596,-6.676050374943609,3.252529844448517,-0.9185252144102627,0.14474022977730785,-0.011627561382389852,0.0004011798075706662,-0.0000042652458386405745,6.665191329033609e-9,-1.5392547381874824e-13]; |
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| 40 | var _2=c[0]; |
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| 41 | for(var k=1;k<a;k++){ |
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| 42 | _2+=c[k]/(z+k); |
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| 43 | } |
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| 44 | return _1*Math.pow(z+a,z+0.5)/Math.exp(z)*_2; |
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| 45 | },factorial:function(n){ |
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| 46 | return this._gamma(n+1); |
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| 47 | },permutations:function(n,k){ |
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| 48 | if(n==0||k==0){ |
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| 49 | return 1; |
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| 50 | } |
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| 51 | return this.factorial(n)/this.factorial(n-k); |
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| 52 | },combinations:function(n,r){ |
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| 53 | if(n==0||r==0){ |
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| 54 | return 1; |
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| 55 | } |
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| 56 | return this.factorial(n)/(this.factorial(n-r)*this.factorial(r)); |
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| 57 | },bernstein:function(t,n,i){ |
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| 58 | return this.combinations(n,i)*Math.pow(t,i)*Math.pow(1-t,n-i); |
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| 59 | },gaussian:function(){ |
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| 60 | var k=2; |
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| 61 | do{
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| 62 | var i=2*Math.random()-1; |
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| 63 | var j=2*Math.random()-1; |
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| 64 | k=i*i+j*j; |
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| 65 | }while(k>=1); |
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| 66 | return i*Math.sqrt((-2*Math.log(k))/k); |
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| 67 | },range:function(a,b,_3){ |
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| 68 | if(arguments.length<2){ |
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| 69 | b=a,a=0;
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| 70 | } |
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| 71 | var _4=[],s=_3||1,i; |
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| 72 | if(s>0){ |
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| 73 | for(i=a;i<b;i+=s){
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| 74 | _4.push(i); |
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| 75 | } |
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| 76 | }else{
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| 77 | if(s<0){ |
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| 78 | for(i=a;i>b;i+=s){
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| 79 | _4.push(i); |
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| 80 | } |
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| 81 | }else{
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| 82 | throw new Error("dojox.math.range: step must not be zero."); |
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| 83 | } |
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| 84 | } |
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| 85 | return _4;
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| 86 | },distance:function(a,b){ |
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| 87 | return Math.sqrt(Math.pow(b[0]-a[0],2)+Math.pow(b[1]-a[1],2)); |
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| 88 | },midpoint:function(a,b){ |
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| 89 | if(a.length!=b.length){
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| 90 | console.error("dojox.math.midpoint: Points A and B are not the same dimensionally.",a,b);
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| 91 | } |
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| 92 | var m=[];
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| 93 | for(var i=0;i<a.length;i++){ |
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| 94 | m[i]=(a[i]+b[i])/2;
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| 95 | } |
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| 96 | return m;
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| 97 | }}); |
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| 98 | })(); |
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| 99 | } |