JS计算排列组合结果个数(双色球,大乐透计算注数)

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采用计算结果的方式获取结果集合length 当结果集合过大,会有卡顿现象:

Array.prototype.combinate = function(iItems, aIn) {       if (!aIn) {              var aIn = new Array();              this.combinate.aResult = new Array();       }       for (var i = 0; i < this.length; i++) {              var a = aIn.concat(this[i]);              var aRest = this.concat(); // Concat with nothing to create copy              aRest.splice(0, i + 1);              if (iItems && iItems - 1 <= aRest.length) {                     aRest.combinate(iItems - 1, a);                     if (iItems == 1) this.combinate.aResult.push(a);              }       }       return this.combinate.aResult;};

然后想到了按照公式直接计算结果:
如题,按照公式m!/n!(m-n)! 双色球33选5 33!/5!(33-5)! 算一下33!,8.6833176188119 * 10的36次方

The JavaScript number format allows you to exactly represent all integers between−9007199254740992  and 9007199254740992 (即正负253次方)

很明显超了,不精准了!
然后想到了自己计算组合的方法,8选3组合个数为 8*7*6/3*2*1
没错就用他来解决

Array.prototype.combine = function (iItems) {    function func(n,m){        if(m==0)            return 1;        else            return n*func(n-1,m-1);    }    // c 83 = 8*7*6/ 3*2*1    var bottomNumber = this.length;    var topNumber = iItems;    return func(bottomNumber,topNumber)/func(topNumber,topNumber);};

完美的解决了问题

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