递归版的合并排序,时间复杂度为O(nlogn),空间复杂度为O(n+logn);
利用分而自治的思想,把排序分成两块,每块内部排序,再进行一次遍历排序即可,递归调用此过程即可。
void MergeSort(int *arr,int length){
Msort(arr,arr,0,length-1);
}
void Msort(int *arr1,int *arr2,int begin,int end){
int arr3[10];
int m;
if(begin == end)
arr2[begin] = arr1[end];
else{
m = (end + begin)/2;
Msort(arr1,arr3,begin,m);
Msort(arr1,arr3,m+1,end);
sort(arr3,arr2,begin,m,end);
}
}
void sort(int *arr3,int *arr1,int begin,int m,int end){
int i=begin,j=m+1,k,h;
for(k=i; i<=m && j<=end;k++){
if(arr3[i] < arr3[j])
arr1[k] = arr3[i++];
else
arr1[k] = arr3[j++];
}
if(i <= m){
for(h=0; h<=m-i;h++)
arr1[k+h] = arr3[i+h];
}else{
for(h=0; h<=end-j;h++)
arr1[k+h] = arr3[j+h];
}
}
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
int arrtest1[10] = {3,4,7,8,0,9,1,2,6,5};
int arrtest2[10] = {0,1,2,3,4,5,6,7,8,9};
int arrtest3[10] = {9,8,7,6,5,4,3,2,1,0};
void copy(int *from,int *arr,int length);
void print(int *arr,int length);
void MergeSort(int *arr,int length);
void Msort(int *arr1,int *arr2,int begin,int end);
void sort(int *arr3,int *arr1,int begin,int m,int end);
int main(){
clock_t start,end;
int Arr[10];
int i;
copy(arrtest1,Arr,10);
print(Arr,10);
MergeSort(Arr,10);
print(Arr,10);
start = clock();
for(i=0;i<100000;i++){
copy(arrtest1,Arr,10);
//print(Arr,10);
MergeSort(Arr,10);
//print(Arr,10);
}
end = clock();
printf("first test:%d\n",end-start);
start = clock();
for(i=0;i<100000;i++){
copy(arrtest2,Arr,10);
//print(Arr,10);
MergeSort(Arr,10);
//print(Arr,10);
}
end = clock();
printf("first test:%d\n",end-start);
start = clock();
for(i=0;i<100000;i++){
copy(arrtest3,Arr,10);
//print(Arr,10);
MergeSort(Arr,10);
//print(Arr,10);
}
end = clock();
printf("first test:%d\n",end-start);
getchar();
return 0;
}
void MergeSort(int *arr,int length){
Msort(arr,arr,0,length-1);
}
void Msort(int *arr1,int *arr2,int begin,int end){
int arr3[10];
int m;
if(begin == end)
arr2[begin] = arr1[end];
else{
m = (end + begin)/2;
Msort(arr1,arr3,begin,m);
Msort(arr1,arr3,m+1,end);
sort(arr3,arr2,begin,m,end);
}
}
void sort(int *arr3,int *arr1,int begin,int m,int end){
int i=begin,j=m+1,k,h;
for(k=i; i<=m && j<=end;k++){
if(arr3[i] < arr3[j])
arr1[k] = arr3[i++];
else
arr1[k] = arr3[j++];
}
if(i <= m){
for(h=0; h<=m-i;h++)
arr1[k+h] = arr3[i+h];
}else{
for(h=0; h<=end-j;h++)
arr1[k+h] = arr3[j+h];
}
}
void copy(int *from,int *arr,int length){
int i;
for(i=0;i<length;i++){
arr[i] = from[i];
}
}
void print(int *arr,int length){
int i;
for(i=0;i<length;i++){
printf("%d ",arr[i]);
}
printf("\n");
}