关于快排实现,优化,以及非递归形式的实现

一、快排递归形式的实现

package 排序;
import java.util.Arrays;
import java.util.Random;
public class Main{
    //先进性一次排序
    public static int pantion(int[] array, int low, int high) {
        int tmp=array[low];
        while(low<high){
            while((low<high)&& array[high]>=tmp){
                high--;
            }
            if(low>=high){
                break;
            }
            else{
                array[low]=array[high];
            }
            while((low<high)&&array[low]<tmp){
                low++;
            }
            if(low>=high){
                break;
            }
            array[high]=array[low];
        }
        array[low]=tmp;
        return low;
    }
    public static void quick(int[] array,int start,int end) {
        int par=pantion ( array,start,end );
        if(par>start+1){   //左边有两个以上元素
            quick ( array,start,par-1 );  //对左边进行递归
        }
        if(par<end-1){    //右边有两个以上元素
            quick ( array,par+1,end );   //对右边进行递归
        }
    }
    public static void quickSort(int[] array) {
       quick(array,0,array.length-1) ;

    }
    public static void main(String[] args) {
        Random random = new Random ( );
        int[] array = new int[10];
        for (int i = 0; i < array.length; i++) {
            array[i] = random.nextInt ( 1000000) + 1;
        }
        quickSort ( array );
        System.out.println ( Arrays.toString ( array ) );

    }
    }

二、快排优化方式一(三数取中法)

package 排序;
//用三数取中法对快速排序进行优化
import java.util.Arrays;
import java.util.Random;
public class 快速排序优化2 {
    //先进性一次排序
    public static int pantion(int[] array, int low, int high) {
        int tmp=array[low];
        while(low<high){
            while((low<high)&& array[high]>=tmp){
                high--;
            }
            if(low>=high){
                break;
            }
            else{
                array[low]=array[high];
            }
            while((low<high)&&array[low]<tmp){
                low++;
            }
            if(low>=high){
                break;
            }
            array[high]=array[low];
        }
        array[low]=tmp;
        return low;
    }
    public static void swap(int[] array,int start,int end){
        int tmp=array[start];
        array[start]=array[end];
        array[end]=tmp;
    }
    public static void medaianOfThree(int[] array,int low,int high){
        int mid =(low+high)/2;
        if(array[mid]>array[low]){
            swap(array,mid,low);
        }
        if(array[mid]>array[high]){
            swap ( array,mid,high );
        }
        if(array[low]>array[high]){
            swap ( array, low, high );
        }
    }
    public static void quick(int[] array,int start,int end) {
        int par=pantion ( array,start,end );
        if(par>start+1){   //左边有两个以上元素
            quick ( array,start,par-1 );  //对左边进行递归
        }
        if(par<end-1){    //右边有两个以上元素
            quick ( array,par+1,end );   //对右边进行递归
        }
    }
    public static void quickSort(int[] array) {
        quick(array,0,array.length-1) ;

    }
    public static void main(String[] args) {
        int[] array=new int[]{1,6,5,7,48,13,67,45};
       /* Random random = new Random ( );
        int[] array = new int[10];
        for (int i = 0; i < array.length; i++) {
            array[i] = random.nextInt ( 1000000) + 1;
        }*/
        quickSort ( array );
        System.out.println ( Arrays.toString ( array ) );
    }
}

三、快排优化方式二(和插入排序结合使用)

由于插入排序,越有序越快的特性,可对快排优化

package 排序;
import java.util.Arrays;
import java.util.Random;
//越排越有序,当达到某个区间时可进行插入排序优化
public class 快速排序的优化1 {
    //先进性一次排序
    public static int pantion(int[] array, int low, int high) {
        int tmp=array[low];
        while(low<high){
            while((low<high)&& array[high]>=tmp){
                high--;
            }
            if(low>=high){
                break;
            }
            else{
                array[low]=array[high];
            }
            while((low<high)&&array[low]<tmp){
                low++;
            }
            if(low>=high){
                break;
            }
            array[high]=array[low];
        }
        array[low]=tmp;
        return low;
    }
    public static void insertSort1(int[] array,int start,int end){
        int tmp=0;
        for(int i=start+1;i<=end;i++){
            tmp=array[i];
            int j=0;
            for(j=i-1;j>=start;j--){
                if(array[j]>tmp){
                    array[j+1]=array[j];
                }else{
                    break;
                }
            }
            array[j+1] = tmp;
        }
    }
    public static void quick(int[] array,int start,int end) {
        if(end-start+1<=16){
            insertSort1(array,start,end);
            return;
        }
        int par=pantion ( array,start,end );
        if(par>start+1){   //左边有两个以上元素
            quick ( array,start,par-1 );  //对左边进行递归
        }
        if(par<end-1){    //右边有两个以上元素
            quick ( array,par+1,end );   //对右边进行递归
        }
    }
    public static void quickSort(int[] array) {
        quick(array,0,array.length-1) ;

    }
    public static void main(String[] args) {
        int[] array={34,78,45,23,56,78,90};
       /* Random random = new Random ( );
        int[] array = new int[10];
        for (int i = 0; i < array.length; i++) {
            array[i] = random.nextInt ( 1000000) + 1;
        }*/
        quickSort ( array );
        System.out.println ( Arrays.toString ( array ) );

    }
}

四、快排非递归形式

一般若有递归化非递归可借助栈来完成!

package 排序;

import java.util.Arrays;
import java.util.Stack;
public class 快排非递归 {
    //用栈进行实现
    public static int partion(int[] array, int low, int high) {
        int tmp = array[low];
        while (low < high) {
            while (low < high && array[high] >= tmp) {
                high--;
            }
            if (low >= high) {
                break;
            } else {
                array[low] = array[high];
            }
            while (low < high && array[low] <= tmp) {
                low++;
            }
            if (low >= high) {
                break;
            } else {
                array[high] = array[low];
            }
        }
        array[low] = tmp;
        return low;
    }

    public  static  void quickSort(int[] array){
        Stack<Integer> stack=new Stack<>();
        int low=0;
        int high=array.length-1;
        //先进性一趟快排
        int par=partion(array,low,high);
        //判断par是否有两个以上数据
        if(par>low+1){
            stack.push(low);
            stack.push(par-1);
        }if(par<high-1){
            stack.push(par+1);
            stack.push(high);

        }
        //需要判断栈是否为空,不为空,取出两数对
        //进行partion()
        while(!stack.empty()){
            high=stack.pop();
            low=stack.pop();
            par=partion(array,low,high);
            if(par>low+1){
                stack.push(low);
                stack.push(par-1);
            }
            if(par<high-1){
                stack.push(par+1);
                stack.push(high);
            }
        }
    }

    public static void main(String[] args) {
        int[] a={1,3,2,6,5,8,5,0,8};
        quickSort(a);
        System.out.println(Arrays.toString(a));
    }
}
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