C實現方法經典算法之歸并排序
核心就是用兩個子數組記錄分割后的兩個數組中的變量, 然后依次比較大小即可。
這里有個細節需要注意一下,
arr_temp1[mid + 1 - low] = INT_MAX;
這段代碼,用來設置一個哨兵, 用這種方法可以避免判斷數組是否為空了
具體的算法的偽代碼可以參考《算法導論》 Chapter 2 算法基礎, P17
源代碼如下:
// =====================【歸并排序】==================include <stdio.h>
include <stdlib.h>
include <time.h>
include <math.h>
define NUM 20
int arr[NUM] = { 0 }; int arr_temp1[NUM] = { 0 }; int arr_temp2[NUM] = { 0 };
void init() { time_t tm; time(&tm); srand((unsigned int)tm);
int max_item = 100; for (int i = 0; i != NUM; i++) arr[i] = rand() % max_item;
}
void display(int * arr) { for (int i = 0; i != NUM; i++) printf("%-10d", arr[i]); printf("\n"); }
void merge(int low, int mid, int high) { for (int ii = 0; ii != mid + 1 - low; ii++) { arr_temp1[ii] = arr[low + ii]; } arr_temp1[mid + 1 - low] = INT_MAX;
for (int ii = 0; ii != high - mid; ii++) { arr_temp2[ii] = arr[mid + 1 + ii]; } arr_temp2[high - mid] = INT_MAX; int i = 0; int j = 0; for (int k = low; k != high + 1; k++) { if (arr_temp1[i] < arr_temp2[j]) arr[k] = arr_temp1[i++]; else arr[k] = arr_temp2[j++]; }
}
void mergeSort(int low, int high) { if (low >= high) return;
int mid = (low + high) / 2; mergeSort(low, mid); mergeSort(mid + 1, high); merge(low, mid, high);
}
void main() { init(); printf("歸并排序前\n"); display(arr);
mergeSort(0, NUM - 1); printf("歸并排序后\n"); display(arr);
}</pre>