快速排序的三种实现
1、轴固定在左边的实现。
package com.student.common; import java.sql.Timestamp; public class QuickSort1 { public static void main(String[] args) { int [] number = {41,24,76,11,45,64,21,69,19,36}; sort(number); } public static void sort(int[] number) { sort(number, 0, number.length-1); } private static void sort(int[] number, int left, int right) { if(left < right) { int s = number[left]; int i = left; int j = right + 1; while(true) { while(i + 1 < number.length && number[++i] < s) ; // 向右找 while(j -1 > -1 && number[--j] > s) ; // 向左找 if(i >= j) break; swap(number, i, j); } number[left] = number[j]; number[j] = s; sort(number, left, j-1); // 对左边进行递回 sort(number, j+1, right); // 对右边进行递回 } } private static void swap(int[] number, int i, int j) { int t; t = number[i]; number[i] = number[j]; number[j] = t; } }
2、轴也参与进来排序的实现。
package com.student.common; import java.util.Date; public class QuickSort2 { public static void main(String[] args) { int [] number = {41,24,76,11,45,64,21,69,19,36}; sort(number); } public static void sort(int[] number) { sort(number, 0, number.length-1); } private static void sort(int[] number, int left, int right) { if(left < right) { int s = number[(left+right)/2]; int i = left-1; int j = right + 1; while(true) { while(i + 1 < number.length && number[++i] < s) ; // 向右找 while(j -1 > -1 && number[--j] > s) ; // 向左找 if(i >= j) break; swap(number, i, j); } sort(number, left, i-1); // 对左边进行递回 sort(number, j+1, right); // 对右边进行递回 } } private static void swap(int[] number, int i, int j) { int t; t = number[i]; number[i] = number[j]; number[j] = t; } }
3、轴的选择是快速排序法的效率关键之一,在这边的快速排序法的轴选择方式更加快了快速排序法的效率,它是来自演算法名书 Introduction to Algorithms 之中。
先说明这个快速排序法的概念,它以最右边的值s作比较的标准,将整个数列分为三个部份,一个是小于s的部份,一个是大于s的部份,一个是未处理的部份
package com.student.common; public class QuickSort3 { public static void main(String[] args) { int [] number = {41,24,76,11,45,64,21,69,19,36}; sort(number); for(int j : number) System.out.println(j); } public static void sort(int[] number) { sort(number, 0, number.length-1); } private static void sort(int[] number, int left, int right) { if(left < right) { int q = partition(number, left, right); sort(number, left, q-1); sort(number, q+1, right); } } private static int partition(int number[], int left, int right) { int s = number[right]; int i = left - 1; for(int j = left; j < right; j++) { if(number[j] <= s) { i++; swap(number, i, j); } } swap(number, i+1, right); return i+1; } private static void swap(int[] number, int i, int j) { int t; t = number[i]; number[i] = number[j]; number[j] = t; } }