if(!dojo._hasResource["dojox.math._base"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code. dojo._hasResource["dojox.math._base"] = true; dojo.provide("dojox.math._base"); dojo.mixin(dojox.math, { degreesToRadians: function(/* Number */n){ // summary // Convert the passed number to radians. return (n*Math.PI)/180; // Number }, radiansToDegrees: function(/* Number */n){ // summary // Convert the passed number to degrees. return (n*180)/Math.PI; // Number }, factoral: function(/* Number */n){ // summary // Return the factoral of n. if(n<1){ return 0; // Number } var ret=1; for(var i=1; i<=n; i++){ ret*=i; } return ret; // Number }, permutations: function(/* Number */n, /* Number */k){ // summary // TODO if(n==0 || k==0){ return 1; // Number } return (this.factoral(n)/this.factoral(n-k)); }, combinations: function(/* Number */n, /* Number */r){ // summary // TODO if(n==0 || r==0){ return 1; // Number } return (this.factoral(n)/(this.factoral(n-r)*this.factoral(r))); // Number }, bernstein: function(/* Number */t, /* Number */n, /* Number */ i){ // summary // TODO return (this.combinations(n, i)*Math.pow(t, i)*Math.pow(1-t, n-i)); // Number }, gaussian: function(){ // summary // Return a random number based on the Gaussian algo. var k=2; do{ var i=2*Math.random()-1; var j=2*Math.random()-1; k = i*i+j*j; }while(k>=1); return (i * Math.sqrt((-2*Math.log(k))/k)); // Number }, // basic statistics sd: function(/* Array */a){ // summary // Returns the standard deviation of the passed arguments. return Math.sqrt(this.variance(a)); // Number }, variance: function(/* Array */a){ // summary // Find the variance in the passed array of numbers. var mean=0, squares=0; dojo.forEach(a, function(item){ mean+=item; squares+=Math.pow(item,2); }); return (squares/a.length)-Math.pow(mean/a.length, 2); // Number }, // create a range of numbers range: function(/* Number */a, /* Number? */b, /* Number? */step){ // summary // Create a range of numbers based on the parameters. if(arguments.length<2){ b=a,a=0; } var s=step||1; var range=[]; if(s>0){ for(var i=a; ib; i+=s){ range.push(i); } }else{ throw new Error("dojox.math.range: step must not be zero."); } } return range; // Array }, distance: function(/* Array */a, /* Array */b){ // summary // Calculate the distance between point A and point B return Math.sqrt(Math.pow(b[0]-a[0],2)+Math.pow(b[1]-a[1],2)); // Number }, midpoint: function(/* Array */a, /* Array */b){ // summary // Calculate the midpoint between points A and B. A and B may be multidimensional. if(a.length!=b.length){ console.error("dojox.math.midpoint: Points A and B are not the same dimensionally.", a, b); } var m=[]; for(var i=0; i