Implementation of merging sort algorithm in C language
Merge sort is an efficient sort algorithm for creating merge operations. The algorithm is a very typical application of the partition method (Divide and Conquer).
An example of a merge sort: Sorting a list of random points
Algorithm description
The process of merging operations is as follows:
- Application space so that the sum of the two sorted sequences is used to store the merged sequence
- Set two pointers, starting at the beginning of two sorted sequences, respectively
- Compares the elements pointed to by two pointers, selects the relatively small elements into the merged space, and moves the pointer to the next position
- Repeat step 3 until a pointer reaches the end of the sequence
- Copy all remaining elements of another sequence directly to the end of the merge sequence
Features: Merge sort is a stable sort. That is, the order of equal elements will not change, the speed is second only to the fast sort, but more stable.
Merge operation
Merge operations (merge), also known as merging algorithms, refer to the method of merging two sequential sequences into a sequential sequence.
such as: a series [6,202,100,301,38,8,1]
Initial Status: 6, 202, 100, 301, 38, 8, 1
After the first merge: [6, 202], [100, 301], [8, 38], [1], compare times: 3;
After the second merge: [6, 100, 202, 301],[1, 8, 38], compared the number of times: 4;
After the third merge: [1, 6, 8, 38, 100, 202, 301], compared the number of times: 4;
The total number of comparisons are: 3+4+4=11,;
The reverse number is 14;
Algorithm implementation
Completed on 2014.10.11 17:20//LANGUAGE:C99////Copyright (C) Codingwu (mail:oskernel@126.com)//Blog address: HTTP://WWW.CNB logs.com/archimedes/#include <stdio.h> #include <stdlib.h>void merge_sort (int *list, const INT-A, const
int last) {int len= last-first+1; int Left_min,left_max; Left half region boundary int Right_min,right_max;
Right half region boundary int index;
int i;
int *tmp;
TMP = (int *) malloc (sizeof (int) *len);
if (tmp = NULL | | | len <= 0) return; for (i = 1; i < Len, I *= 2) {for (left_min = 0; left_min < len-i; left_min = Right_max) {int J
;
Right_min = Left_max = Left_min + i;
Right_max = Left_max + i;
j = left_min;
if (Right_max > len) right_max = len;
index = 0; while (Left_min < Left_max && Right_min < Right_max) {tmp[index++] = (list[left_min) > Li St[right_min]?
List[right_min++]: list[left_min++]);
while (Left_min < Left_max) {List[--right_min] = List[--left_max];
while (Index > 0) {list[--right_min] = Tmp[--index];
}} free (TMP);
int main () {int a[] = {288, 52, 123, 30, 212, 23, 10, 233};
int n, mid;
n = sizeof (a)/sizeof (a[0]);
MID = N/2;
Merge_sort (A, 0, n-1);
for (int k = 0; k < n; k++) printf ("%d", a[k]);
printf ("\ n");
return 0;
}
Using recursive implementations:
Completed on 2014.10.11 18:20//LANGUAGE:C99////Copyright (C) Codingwu (mail:oskernel@126.com)//Blog address: HTTP://WWW.CNB logs.com/archimedes/#include <stdio.h> #include <stdlib.h> void merge (int *array,const INT-A, const int
Mid, const int last) {int i,index;
int first1,last1;
int first2,last2;
int *tmp;
TMP = (int *) malloc ((last-first+1) *sizeof (int));
if (tmp = = NULL) return;
First1 = A;
Last1 = mid;
First2 = mid+1;
Last2 = Last;
index = 0; while ((First1 <= last1) && (first2 <= last2)) {if (Array[first1] < Array[first2]) {T
mp[index++] = Array[first1];
first1++;
} else{tmp[index++] = Array[first2];
first2++;
} while (First1 <= last1) {tmp[index++] = array[first1++];
while (First2 <= last2) {tmp[index++] = array[first2++];
for (i=0; i< (last-first+1); i++) {Array[first+i] = Tmp[i];
} free (TMP); } void Merge_sort (int *Array, const INT-A, const int last) {int mid = 0;
if (I < last) {mid = (i + last)/2;
Merge_sort (Array, I, mid);
Merge_sort (Array, mid + 1, last);
Merge (array, I, Mid, last);
int main () {int a[] = {288, 52, 123, 30, 212, 23, 10, 233};
int n, mid;
n = sizeof (a)/sizeof (a[0]);
MID = N/2;
Merge_sort (A, 0, n-1);
for (int k = 0; k < n; k++) printf ("%d", a[k]);
printf ("\ n");
return 0;
}
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