function getCombBySum(array,sum,tolerance,targetCount){
var util = {
/*
get combination from array
arr: target array
num: combination item length
return: one array that contain combination arrays
*/
/*获取所有的可能组合
如果是[1,2,3,4,5]取出3个
那么可能性就有10种 C(5,3)= C(5,2)
不用翻书了 给个公式
全排列 P(n,m)=n!/(n-m)!
组合排列 C(5,2)=5!/2!*3!=5*4*3*2*1/[(2*1)*(3*2*1)]=10
这是使用了循环加递归做出了组合排序
*/
getCombination: function(arr, num) {
var r=[];
(function f(t, a, n){
if (n==0) {
return r.push(t);
}
for (var i=0,l=a.length; i<=l-n; i++){
f(t.concat(a[i]), a.slice(i+1), n-1);
}
})([], arr, num);
return r;
},
// take array index to a array
// 获取数组的索引
getArrayIndex: function(array) {
var i = 0,
r = [];
for(i = 0;i<array.length;i++){
r.push(i);
}
return r;
}
}
var logic = {
// sort the array,then get what's we need
// 获取数组中比sum小的数
init: function(array, sum) {
// clone array
var _array = array.concat(),
r = [],
i = 0;
// sort by asc
_array.sort(function(a,b){
return a - b;
});
// get all number when it's less than or equal sum
for(i = 0;i<_array.length;i++){
if(_array[i]<=sum){
r.push(_array[i]);
}else{
break;
}
}
return r;
},
// important function
core: function(array, sum, arrayIndex, count, r){
console.log('count..', count)
var i = 0,
k = 0,
combArray = [],
_sum = 0,
_cca = [],
_cache = [];
// get current count combination
// 这里排序的不是原来的数组,而是求的索引后的数组
combArray = util.getCombination(arrayIndex, count);
console.log('combArray...', combArray);
for(i = 0;i<combArray.length;i++){
_cca = combArray[i];
_sum = 0;
_cache = [];
// calculate the sum from combination
for(k = 0;k<_cca.length;k++){
_sum += array[_cca[k]];
_cache.push(array[_cca[k]]);
}
if(Math.abs(_sum-sum) <= _tolerance){
r.push(_cache);
}
}
}
}
var r = [],
_array = [],
_targetCount = 0,
_tolerance = 0,
_returnMark = 0;
// check data
_targetCount = targetCount || _targetCount;
_tolerance = tolerance || _tolerance;
_array = logic.init(array,sum);
logic.core(_array, sum, util.getArrayIndex(_array), (_targetCount || _array.length), r);
return r;
}
console.log('结果。。',getCombBySum([1, 3, 2, 4, 5, 8], 7, 0, 2))
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