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js实现各种常用排序算法

2016-08-09 09:04 441 查看

1.冒泡排序

var bubbleSort = function (arr) {
var flag = true;
var len = arr.length;
for (var i = 0; i < len - 1; i++) {
flag = true;
for (var j = 0; j < len - 1 - i; j++) {
if (arr[j] > arr[j + 1]) {
var temp = arr[j+1];
arr[j+1] = arr[j];
arr[j] = temp;
flag = false;
}
}
if (flag) {
break;
}
}
};

2.选择排序

var selectSort = function (arr) {
var min;
for (var i = 0; i < arr.length-1; i++) {
min = i;
for (var j = i + 1; j < arr.length; j++) {
if (arr[min] > arr[j]) {
min = j;
}
}
if (i != min) {
swap(arr, i, min);
}
}
};
function swap(arr, index1, index2) {
var temp = arr[index1];
arr[index1] = arr[index2];
arr[index2] = temp;
};


3.插入排序

var insertSort = function (arr) {
var len = arr.length, key;
for (var i = 1; i < len; i++) {
var j = i;
key = arr[j];
while (--j > -1) {
if (arr[j] > key) {
arr[j + 1] = arr[j];
} else {
break;
}
}
arr[j + 1] = key;
}
};

4.希尔排序

var shellSort = function (arr) {
var gaps = [5, 3, 1];
for (var g = 0; g < gaps.length; ++g) {
for (var i = gaps[g]; i < arr.length; ++i) {
var temp = arr[i];
for (var j = i; j >= gaps[g] && arr[j - gaps[g]] > temp; j -= gaps[g]) {
arr[j] = arr[j - gaps[g]];
}
arr[j] = temp;
}
}
};

5.归并排序

function mergeSort(arr) {
if (arr.length < 2) {
return;
}
var step = 1;
var left, right;
while (step < arr.length) {
left = 0;
right = step;
while (right + step <= arr.length) {
mergeArrays(arr, left, left + step, right, right + step);
left = right + step;
right = left + step;
}
if (right < arr.length) {
mergeArrays(arr, left, left + step, right, arr.length);
}
step *= 2;
}
}
function mergeArrays(arr, startLeft, stopLeft, startRight, stopRight) {
var rightArr = new Array(stopRight - startRight + 1);
var leftArr = new Array(stopLeft - startLeft + 1);
k = startRight;
for (var i = 0; i < (rightArr.length - 1); ++i) {
rightArr[i] = arr[k];
++k;
}
k = startLeft;
for (var i = 0; i < (leftArr.length - 1); ++i) {
leftArr[i] = arr[k];
++k;
}
rightArr[rightArr.length - 1] = Infinity; // 哨兵值
leftArr[leftArr.length - 1] = Infinity; // 哨兵值
var m = 0;
var n = 0;
for (var k = startLeft; k < stopRight; ++k) {
if (leftArr[m] <= rightArr
) {
arr[k] = leftArr[m];
m++;
}
else {
arr[k] = rightArr
;
n++;
}
}
}

6.快速排序

var quickSort = function(arr, left, right) {
var i, j, t, pivot;
if (left >= right) {
return;
}
pivot = arr[left];
i = left;
j = right;
while (i != j) {
while (arr[j] >= pivot && i < j) {
j--;
}
while (arr[i] <= pivot && i < j) {
i++;
}
if (i < j) {
t = arr[i];
arr[i] = arr[j];
arr[j] = t;
}
}
arr[left] = arr[j];
arr[j] = pivot;
quickSort(arr, left, i - 1);
quickSort(arr, i + 1, right);
}

总结:算法效率比较:

排序方法平均情况最好情况最坏情况
冒泡排序O(n²)O(n)O(n²)
选择排序O(n²)O(n²)O(n²)
插入排序O(n²)O(n)O(n²)
希尔排序O(nlogn)~O(n²)O(n^1.5)O(n²)
归并排序O(nlogn)O(nlogn)O(nlogn)
快速排序O(nlogn)O(nlogn)O(n²)
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