經典算法

時間 2019-11-24

標籤經典算法简体版

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//插入排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class InsertSort implements SortUtil.Sort{
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
int temp;
for(int i=1;i<data.length;i++){
for(int j=i;(j>0)&&(data[j]<data[j-1]);j--){
SortUtil.swap(data,j,j-1);
}
}
}
}
//冒泡排序:
for(var i=0; i<arr.length; i++) {
for(var j=i+1; j<=arr.length-1; j++) {
if(eval(arr[i]) < eval(arr[j])) {
temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
}
}
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class BubbleSort implements SortUtil.Sort{
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
int temp;
for(int i=0;i<data.length;i++){
for(int j=data.length-1;j>i;j--){
if(data[j]<data[j-1]){
SortUtil.swap(data,j,j-1);
}
}
}
}
}
//選擇排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class SelectionSort implements SortUtil.Sort {
/**
* (non-Javadoc)
*
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
int temp;
for (int i = 0; i < data.length; i++) {
int lowIndex = i;
for (int j = data.length - 1; j > i; j--) {
if (data[j] < data[lowIndex]) {
lowIndex = j;
}
}
SortUtil.swap(data,i,lowIndex);
}
}
}
//Shell排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class ShellSort implements SortUtil.Sort{
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
for(int i=data.length/2;i>2;i/=2){
for(int j=0;j<i;j++){
insertSort(data,j,i);
}
}
insertSort(data,0,1);
}
/**
* @param data
* @param j
* @param i
*/
private void insertSort(int[] data, int start, int inc) {
int temp;
for(int i=start+inc;i<data.length;i+=inc){
for(int j=i;(j>=inc)&&(data[j]<data[j-inc]);j-=inc){
SortUtil.swap(data,j,j-inc);
}
}
}
}
//快速排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class QuickSort implements SortUtil.Sort{
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
quickSort(data,0,data.length-1);
}
private void quickSort(int[] data,int i,int j){
int pivotIndex=(i+j)/2;
//swap
SortUtil.swap(data,pivotIndex,j);
int k=partition(data,i-1,j,data[j]);
SortUtil.swap(data,k,j);
if((k-i)>1) quickSort(data,i,k-1);
if((j-k)>1) quickSort(data,k+1,j);
}
/**
* @param data
* @param i
* @param j
* @return
*/
private int partition(int[] data, int l, int r,int pivot) {
do{
while(data[++l]<pivot);
while((r!=0)&&data[--r]>pivot);
SortUtil.swap(data,l,r);
}
while(l<r);
SortUtil.swap(data,l,r);
return l;
}
}
//改進後的快速排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class ImprovedQuickSort implements SortUtil.Sort {
private static int MAX_STACK_SIZE=4096;
private static int THRESHOLD=10;
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
int[] stack=new int[MAX_STACK_SIZE];
int top=-1;
int pivot;
int pivotIndex,l,r;
stack[++top]=0;
stack[++top]=data.length-1;
while(top>0){
int j=stack[top--];
int i=stack[top--];
pivotIndex=(i+j)/2;
pivot=data[pivotIndex];
SortUtil.swap(data,pivotIndex,j);
//partition
l=i-1;
r=j;
do{
while(data[++l]<pivot);
while((r!=0)&&(data[--r]>pivot));
SortUtil.swap(data,l,r);
}
while(l<r);
SortUtil.swap(data,l,r);
SortUtil.swap(data,l,j);
if((l-i)>THRESHOLD){
stack[++top]=i;
stack[++top]=l-1;
}
if((j-l)>THRESHOLD){
stack[++top]=l+1;
stack[++top]=j;
}
}
//new InsertSort().sort(data);
insertSort(data);
}
/**
* @param data
*/
private void insertSort(int[] data) {
int temp;
for(int i=1;i<data.length;i++){
for(int j=i;(j>0)&&(data[j]<data[j-1]);j--){
SortUtil.swap(data,j,j-1);
}
}
}
}
//歸併排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class MergeSort implements SortUtil.Sort{
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
int[] temp=new int[data.length];
mergeSort(data,temp,0,data.length-1);
}
private void mergeSort(int[] data,int[] temp,int l,int r){
int mid=(l+r)/2;
if(l==r) return ;
mergeSort(data,temp,l,mid);
mergeSort(data,temp,mid+1,r);
for(int i=l;i<=r;i++){
temp[i]=data[i];
}
int i1=l;
int i2=mid+1;
for(int cur=l;cur<=r;cur++){
if(i1==mid+1)
data[cur]=temp[i2++];
else if(i2>r)
data[cur]=temp[i1++];
else if(temp[i1]<temp[i2])
data[cur]=temp[i1++];
else
data[cur]=temp[i2++];
}
}
}
//改進後的歸併排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class ImprovedMergeSort implements SortUtil.Sort {
private static final int THRESHOLD = 10;
/**
* (non-Javadoc)
*
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
int[] temp=new int[data.length];
mergeSort(data,temp,0,data.length-1);
}
private void mergeSort(int[] data, int[] temp, int l, int r) {
int i, j, k;
int mid = (l + r) / 2;
if (l == r)
return;
if ((mid - l) >= THRESHOLD)
mergeSort(data, temp, l, mid);
else
insertSort(data, l, mid - l + 1);
if ((r - mid) > THRESHOLD)
mergeSort(data, temp, mid + 1, r);
else
insertSort(data, mid + 1, r - mid);
for (i = l; i <= mid; i++) {
temp[i] = data[i];
}
for (j = 1; j <= r - mid; j++) {
temp[r - j + 1] = data[j + mid];
}
int a = temp[l];
int b = temp[r];
for (i = l, j = r, k = l; k <= r; k++) {
if (a < b) {
data[k] = temp[i++];
a = temp[i];
} else {
data[k] = temp[j--];
b = temp[j];
}
}
}
/**
* @param data
* @param l
* @param i
*/
private void insertSort(int[] data, int start, int len) {
for(int i=start+1;i<start+len;i++){
for(int j=i;(j>start) && data[j]<data[j-1];j--){
SortUtil.swap(data,j,j-1);
}
}
}
}
//堆排序:
package org.rut.util.algorithm.support;
import org.rut.util.algorithm.SortUtil;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class HeapSort implements SortUtil.Sort{
/** (non-Javadoc)
* @see org.rut.util.algorithm.SortUtil.Sort#sort(int[])
*/
public void sort(int[] data) {
MaxHeap h=new MaxHeap();
h.init(data);
for(int i=0;i<data.length;i++)
h.remove();
System.arraycopy(h.queue,1,data,0,data.length);
}
private static class MaxHeap{
void init(int[] data){
this.queue=new int[data.length+1];
for(int i=0;i<data.length;i++){
queue[++size]=data[i];
fixUp(size);
}
}
private int size=0;
private int[] queue;
public int get() {
return queue[1];
}
public void remove() {
SortUtil.swap(queue,1,size--);
fixDown(1);
}
//fixdown
private void fixDown(int k) {
int j;
while ((j = k << 1) <= size) {
if (j < size && queue[j]<queue[j+1])
j++;
if (queue[k]>queue[j]) //不用交換
break;
SortUtil.swap(queue,j,k);
k = j;
}
}
private void fixUp(int k) {
while (k > 1) {
int j = k >> 1;
if (queue[j]>queue[k])
break;
SortUtil.swap(queue,j,k);
k = j;
}
}
}
}
//SortUtil:
package org.rut.util.algorithm;
import org.rut.util.algorithm.support.BubbleSort;
import org.rut.util.algorithm.support.HeapSort;
import org.rut.util.algorithm.support.ImprovedMergeSort;
import org.rut.util.algorithm.support.ImprovedQuickSort;
import org.rut.util.algorithm.support.InsertSort;
import org.rut.util.algorithm.support.MergeSort;
import org.rut.util.algorithm.support.QuickSort;
import org.rut.util.algorithm.support.SelectionSort;
import org.rut.util.algorithm.support.ShellSort;
/**
* @author treeroot
* @since 2006-2-2
* @version 1.0
*/
public class SortUtil {
public final static int INSERT = 1;
public final static int BUBBLE = 2;
public final static int SELECTION = 3;
public final static int SHELL = 4;
public final static int QUICK = 5;
public final static int IMPROVED_QUICK = 6;
public final static int MERGE = 7;
public final static int IMPROVED_MERGE = 8;
public final static int HEAP = 9;
public static void sort(int[] data) {
sort(data, IMPROVED_QUICK);
}
private static String[] name={
"insert","bubble","selection","shell","quick","improved_quick","merge","improved_merge","heap"
};
private static Sort[] impl=new Sort[]{
new InsertSort(),
new BubbleSort(),
new SelectionSort(),
new ShellSort(),
new QuickSort(),
new ImprovedQuickSort(),
new MergeSort(),
new ImprovedMergeSort(),
new HeapSort()
};
public static String toString(int algorithm){
return name[algorithm-1];
}
public static void sort(int[] data, int algorithm) {
impl[algorithm-1].sort(data);
}
public static interface Sort {
public void sort(int[] data);
}
public static void swap(int[] data, int i, int j) {
int temp = data[i];
data[i] = data[j];
data[j] = temp;
}
}

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