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SortAlgs.java
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202 lines (172 loc) · 4.39 KB
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package com.algs;
import java.lang.reflect.InvocationTargetException;
import java.lang.reflect.Method;
import java.util.Arrays;
import java.util.Collections;
public class SortAlgs {
// 算法可视化网站:https://visualgo.net/sorting
public static void main(String[] str) throws ClassNotFoundException, IllegalAccessException, IllegalArgumentException, InvocationTargetException, InstantiationException{
// Integer, Double String, File and URL have implements Comparable interface
Integer[] a = new Integer[10];
for(Integer i = 0; i < 10; i++){
a[i] = i;
}
Class classType = Class.forName("com.algs.SortAlgs");
Method[] methods = classType.getDeclaredMethods();
for (Method methed : methods) {
/* Collections.shuffle(Arrays.asList(a));
methed.invoke(classType.newInstance(), a);*/
System.out.println(methed);
System.out.println(methed.getName());
}
Collections.shuffle(Arrays.asList(a));
bubble(a);
System.out.println(isSorted(a));
System.out.println(Arrays.toString(a));
Collections.shuffle(Arrays.asList(a));
select(a);
System.out.println(isSorted(a));
System.out.println(Arrays.toString(a));
Collections.shuffle(Arrays.asList(a));
insertion(a);
System.out.println(isSorted(a));
System.out.println(Arrays.toString(a));
Collections.shuffle(Arrays.asList(a));
shell(a);
System.out.println(isSorted(a));
System.out.println(Arrays.toString(a));
Collections.shuffle(Arrays.asList(a));
sortMerge(a);
System.out.println(isSorted(a));
System.out.println(Arrays.toString(a));
}
public static void exch(Comparable[] arr, int i, int j) {
Comparable t = arr[i];
arr[i] = arr[j];
arr[j] = t;
}
public static boolean less(Comparable v, Comparable w) {
return v.compareTo(w) < 0;
}
public static boolean isSorted(Comparable[] arr) {
for (int i = 1; i < arr.length; i++) {
if (less(arr[i], arr[i - 1])) {
return false;
}
}
return true;
}
// bubble sort
/**
* 每次将最大的值下沉到最下面 时间复杂度:O(n^2),空间复杂度:O(n)
*
* @param arr
*/
public static void bubble(Comparable[] arr) {
for (int i = 0; i < arr.length; i++) {
for (int j = 1; j < arr.length - i; j++) {
if (less(arr[j], arr[j - 1])) {
exch(arr, j, j - 1);
}
}
}
}
// selection sort
/**
* 每次选择最小的一个数排在最前面 时间复杂度:O(n^2),空间复杂度:O(n)
*
* @param arr
*/
public static void select(Comparable[] arr) {
for (int i = 0; i < arr.length; i++) {
int min = i;
for (int j = i + 1; j < arr.length; j++) {
if (less(arr[j], arr[min])) {
min = j;
}
}
exch(arr, i, min); // 和最小的元素交换
}
}
// insertion sort
/**
* 当前索引左边的所有元素都是有序的,但最终位置不确定,将当前元素与索引左边的元素比较,直到移动到合适的位置
* 时间复杂度:O(n^2),空间复杂度:O(n)
*
* @param arr
*/
public static void insertion(Comparable[] arr) {
for (int i = 1; i < arr.length; i++) {
// 将arr[i], 插入到前面已经排序好的数组中
for (int j = i; j > 0; j--) {
if (less(arr[j], arr[j - 1])) {
exch(arr, j, j - 1);
}
}
}
}
// shell sort
/**
* 基于插入排序的快速排序算法
*
* @param arr
*/
public static void shell(Comparable[] arr) {
int N = arr.length;
int h = 1;
while (h < N / 3) {
h = 3 * h + 1;
}
while (h >= 1) {
for (int i = h; i < N; i++) {
for (int j = i; j >= h; j--) {
if (less(arr[j], arr[j - h])) {
exch(arr, j, j - h);
}
}
}
h = h / 3;
}
}
private static Comparable[] aux;
// merge sort, 归并排序
/**
*
* @param arr
*/
private static void sortMerge(Comparable[] arr) {
aux = new Comparable[arr.length];
sortMerge(arr, 0, arr.length - 1);
}
private static void sortMerge(Comparable[] arr, int lo, int hi){
if(hi <= lo){
return;
}
int mid = lo + (hi - lo)/2;
sortMerge(arr, lo, mid);
sortMerge(arr, mid + 1, hi);
merge(arr, lo, mid, hi);
}
public static void merge(Comparable[] arr, int lo, int mid, int hi){
int i = lo, j = mid + 1;
for(int k = lo; k <= hi; k++){
aux[k] = arr[k];
}
for(int k = lo; k <= hi; k++){
if (i > mid) arr[k] = aux[j++];
else if (j > hi) arr[k] = aux[i++];
else if (less(aux[j], aux[i])) arr[k] = aux[j++];
else arr[k] = aux[i++];
}
}
// quick sort
/**
*
* @param arr
*/
public static void quick(Comparable[] arr) {
}
// heap sort
public static void heap(Comparable[] arr) {
}
}