数据结构与算法简记:快速排序

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快速排序是对冒泡排序的一种改进。

首先选定数组中任意位置的元素值做分隔值,然后定义两个指针(可以称为低位和高位),从数组起始位置和结束位置同时向中间靠拢,这个过程中获取它们对应的元素值分别和分隔值进行比较,如果低位指针遇到元素比分隔值大,则暂停,同样地,如果高位指针遇到元素比分隔值小,也暂停,然后交换高低位指针对应的值,交换完成后两指针继续向中间靠拢。

一趟下来,比分隔值小的元素都出现在左边,比分隔值大的元素都出现在右边,同时可以获取到分隔位。

然后对分隔位左边和右边的区间进行排序,依此类推,分而治之。

下面是实现代码:

JS版:

//快速排序function quickSort(array) {  //交换数组元素  var swap = function(i, j) {    var temp = array[i];    array[i] = array[j];    array[j] = temp;  },  //对指定区间进行划分,使较小的元素都在左边,较大元素都在右边,最后返回分隔位索引  partition = function(low, high) {    //主元素值可以任意选取,这里取当前区间的中间位的元素值    var mid = Math.floor((low + high) / 2);    var pivot = array[mid];    //低位索引<=高位索引时比较和交换    while (low <= high) {      //如果左边元素值小于主元素值,则低位索引递增      while (array[low] < pivot) low++;      //如果右边元素值大于主元素值,则高位索引递减      while (array[high] > pivot) high--;      //当高位和低位都停下来时,交换      if (low <= high) {        swap(low, high);        //交换之后,高位索引和低位索引分别向中间靠拢一位,进行下一次的比较        low++;        high--;      }    }    //此时低位索引要比高位索引大一位    //最后返回低位索引    return low;  },  //对指定区间进行排序  quickRangeSort = function(low, high) {    //区间的大小    var range = high - low + 1;    //当区间大于1时,做进一步划分,并对子区间进行排序    if (range > 1) {      //获取分隔位索引      var index = partition(low, high);      //对左子区间进行排序      if (low < index - 1) {        quickRangeSort(low, index - 1);      }      //对右子区间进行排序      if (index < high) {        quickRangeSort(index, high);      }    }  };  //第一次调用,对整个数组区间进行排序  quickRangeSort(0, array.length - 1);}var array = [39, 28, 57, 12, 95, 45, 10, 73];quickSort(array);console.log(array);

Java版:

package algorithm;public class Sorting {    private static void swap(int[] array, int i, int j) {        int temp = array[i];        array[i] = array[j];        array[j] = temp;    }    private static int partition(int[] array, int low, int high) {        int mid = (low + high) / 2;        int pivot = array[mid];        while (low <= high) {            while (array[low] < pivot) low++;            while (array[high] > pivot) high--;            if (low <= high) {                swap(array, low, high);                low++;                high--;            }        }        return low;    }    private static void quickSort(int[] array, int low, int high) {        int range = high - low + 1;        if (range > 1) {            int index = partition(array, low, high);            if (low < index - 1) {                quickSort(array, low, index - 1);            }            if (index < high) {                quickSort(array, index, high);            }        }    }    public static void quickSort(int[] array) {        quickSort(array, 0, array.length - 1);    }    public static void main(String[] args) {        int[] array = {39, 28, 57, 12, 95, 45, 10, 73};        Sorting.quickSort(array);        for (int i = 0; i < array.length; i++) {            System.out.print(array[i] + " ");        }    }}

C语言版:

#include <stdio.h>void quickSort(int *array, int low, int high);int partition(int *array, int low, int high);void swap(int *array, int i, int j);int main(int argc, const char * argv[]) {    int array[] = {39, 28, 57, 12, 95, 45, 10, 73};    int size = sizeof(array) / sizeof(array[0]);    quickSort(array, 0, size - 1);    for (int i = 0; i < size; i++) {        printf("%d ", array[i]);    }    return 0;}void quickSort(int *array, int low, int high) {    int index;    int range = high - low + 1;    if (range > 1) {        index = partition(array, low, high);        if (low < index - 1) {            quickSort(array, low, index - 1);        }        if (index < high) {            quickSort(array, index, high);        }    }}int partition(int *array, int low, int high) {    int mid = (low + high) / 2;    int pivot = array[mid];    while (low <= high) {        while (array[low] < pivot) low++;        while (array[high] > pivot) high--;        if (low <= high) {            swap(array, low, high);            low++;            high--;        }    }    return low;}void swap(int *array, int i, int j) {    int temp = array[i];    array[i] = array[j];    array[j] = temp;}
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