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@iamwizone

# ソートアルゴリズム (バブル・シェーカー・コム)

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バブルソート、シェーカーソート、コムソートの3つのアルゴリズムの処理時間の計算

sort.c
```/* Comparing the time of shaker sort with that of bubble sort */

#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#include <time.h>

void sort_check(int *, int, int);
void swap(int *, int, int);

int main(void){

int *a;
int *b;

int flag = 0;
int step = 0, change = 0;
int max;

int m;
int number_max;
int i, j;
int h;

clock_t start, end;

double bubble_time, shaker_time, comb_time;
int bubble_step, shaker_step, comb_step;
int bubble_change, shaker_change, comb_change;
```

aは並び替えをするための配列、bの中身も基本的には同じ
stepは配列要素の比較回数、changeは配列要素の交換回数

sort.c
```    // 配列の要素数
m = 50000;
number_max = 100000;
a = (int *)malloc(sizeof(int)*m);
b = (int *)malloc(sizeof(int)*m);

srand((unsigned int)time(NULL));

// insert number into an array at random
printf("-- array --\n\n");
for(i = 0; i < m; i++){
b[i] = rand()%number_max;
a[i] = b[i];
if(i < 10 || m - 10 < i) printf("a[%d] = %d\n", i, a[i]);
}
```

number_maxに関しては、
0からnumber_maxまでの整数をランダムに配列に格納する、という意味

sort.c
```    // Measuring the time of bubble short
start = clock();

change = 0;
step = 0;

for(i = m-1; i >= 0; i--){
flag = 0;
for(j = 0; j < i; j++){
step++;
if(a[j] > a[j+1]){
flag++;
change++;
swap(a, j, j+1);
}
}
if(flag == 0) break;
}

end = clock();

sort_check(a, m, 0);

bubble_time = (double)(end - start)/(double)CLOCKS_PER_SEC;
bubble_step = step;
bubble_change = change;

// 計算時間などを表示
printf("\n");
printf("-- bubble sort --\n");
printf("\n");
printf("calculation time (bubble sort) : %lf [sec]\n", bubble_time);
printf("\n");
printf("comparing time : %d, changing time : %d\n", bubble_step, bubble_change);
printf("\n");

// バブルソート後の配列を表示
for(int i = 0; i < m; i++)
if(i < 10 || m-10 <= i) printf("a[%d] = %d\n", i, a[i]);

```

バブルソート
sort_check関数は、きちんとソートされているかどうかを判定する関数(後述)

sort.c
```
for(i = 0; i < m; i++) a[i] = b[i];

// Measuring the time of shaker sort
start = clock();

step = 0;
change = 0;

for(i = m-1; i >= 0; i--){
flag = 0;
for(j = m-1-i; j < i; j++){
step++;
if(a[j] > a[j+1]){
flag++;
change++;
swap(a, j, j+1);
}
}
if(flag == 0) break;

for(j = i-1; j > m-1-i; j--){
step++;
if(a[j] < a[j-1]){
flag++;
change++;
swap(a, j, j-1);
}
}
if(flag == 0) break;

}

end = clock();

sort_check(a, m, 0);

shaker_time = (double)(end - start)/(double)CLOCKS_PER_SEC;
shaker_step = step;
shaker_change = change;

// 計算時間などを表示
printf("\n");
printf("-- shaker sort --\n");
printf("\n");
printf("calculation time (shaker sort) : %lf [sec]\n", shaker_time);
printf("\n");
printf("comparing time : %d, changing time : %d\n", shaker_step, shaker_change);
printf("\n");

// シェーカーソート後の配列を表示
for(i = 0; i < m; i++)
if(i < 10 || m-10 <= i) printf("a[%d] = %d\n", i, a[i]);

```

シェーカーソート

sort.c
```
for(i = 0; i < m; i++) a[i] = b[i];

// Measuring the time of comb short
start = clock();

step = 0;
change = 0;
flag = 1;

h = m*10/13;

while(h >= 1 && flag != 0){
flag = 0;
for(i = m-h-1; i >= 0; i--){
step++;
if(a[i] > a[i+h]){
change++;
flag++;
swap(a, i, i+h);
}
}
if(h >= 2) h = h*10/13;

}

end = clock();

sort_check(a, m, 0);

comb_time = (end - start)/(double)CLOCKS_PER_SEC;
comb_step = step;
comb_change = change;

// 計算時間などを表示
printf("\n");
printf("-- comb sort --\n");
printf("\n");
printf("calculation time (comb sort) : %lf [sec]\n", comb_time);
printf("\n");
printf("comparing time : %d, changing time : %d\n", comb_step, comb_change);
printf("\n");

// コムソート後の配列を表示
for(i = 0; i < m; i++)
if(i < 10 || m-10 <= i) printf("a[%d] = %d\n", i, a[i]);

```

コムソート

やはり、バブル＞シェーカー＞コム となっている。

コムソートの時間のみのグラフ↓

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