请用c语言实现如下运算:给定两个集合A、B,验证集合的并、交、相对补和对称运算。
时间: 2024-06-08 10:06:25 浏览: 107
以下是用 C 语言实现集合运算的代码:
```c
#include <stdio.h>
// 函数声明
void print_set(int set[], int size);
void set_union(int set1[], int size1, int set2[], int size2, int result[]);
void set_intersection(int set1[], int size1, int set2[], int size2, int result[]);
void set_difference(int set1[], int size1, int set2[], int size2, int result[]);
void set_symmetric_difference(int set1[], int size1, int set2[], int size2, int result[]);
int main() {
int set1[] = {1, 3, 5, 7, 9};
int size1 = sizeof(set1) / sizeof(int);
int set2[] = {2, 4, 6, 8, 10};
int size2 = sizeof(set2) / sizeof(int);
int result[10];
printf("Set A: ");
print_set(set1, size1);
printf("Set B: ");
print_set(set2, size2);
// 计算并集
set_union(set1, size1, set2, size2, result);
printf("Union: ");
print_set(result, size1 + size2);
// 计算交集
set_intersection(set1, size1, set2, size2, result);
printf("Intersection: ");
print_set(result, size1 + size2);
// 计算相对补集
set_difference(set1, size1, set2, size2, result);
printf("Relative Complement of A\\B: ");
print_set(result, size1);
set_difference(set2, size2, set1, size1, result);
printf("Relative Complement of B\\A: ");
print_set(result, size2);
// 计算对称差
set_symmetric_difference(set1, size1, set2, size2, result);
printf("Symmetric Difference: ");
print_set(result, size1 + size2);
return 0;
}
// 打印集合
void print_set(int set[], int size) {
printf("{");
for (int i = 0; i < size; i++) {
printf("%d", set[i]);
if (i != size - 1) {
printf(", ");
}
}
printf("}\n");
}
// 计算并集
void set_union(int set1[], int size1, int set2[], int size2, int result[]) {
int i = 0, j = 0, k = 0;
while (i < size1 && j < size2) {
if (set1[i] < set2[j]) {
result[k++] = set1[i++];
} else if (set1[i] > set2[j]) {
result[k++] = set2[j++];
} else {
result[k++] = set1[i++];
j++;
}
}
while (i < size1) {
result[k++] = set1[i++];
}
while (j < size2) {
result[k++] = set2[j++];
}
}
// 计算交集
void set_intersection(int set1[], int size1, int set2[], int size2, int result[]) {
int i = 0, j = 0, k = 0;
while (i < size1 && j < size2) {
if (set1[i] < set2[j]) {
i++;
} else if (set1[i] > set2[j]) {
j++;
} else {
result[k++] = set1[i++];
j++;
}
}
}
// 计算相对补集
void set_difference(int set1[], int size1, int set2[], int size2, int result[]) {
int i = 0, j = 0, k = 0;
while (i < size1 && j < size2) {
if (set1[i] < set2[j]) {
result[k++] = set1[i++];
} else if (set1[i] > set2[j]) {
j++;
} else {
i++;
j++;
}
}
while (i < size1) {
result[k++] = set1[i++];
}
}
// 计算对称差
void set_symmetric_difference(int set1[], int size1, int set2[], int size2, int result[]) {
int i = 0, j = 0, k = 0;
while (i < size1 && j < size2) {
if (set1[i] < set2[j]) {
result[k++] = set1[i++];
} else if (set1[i] > set2[j]) {
result[k++] = set2[j++];
} else {
i++;
j++;
}
}
while (i < size1) {
result[k++] = set1[i++];
}
while (j < size2) {
result[k++] = set2[j++];
}
}
```
以上代码中,我们使用了以下函数:
- `print_set()`:打印集合的函数。
- `set_union()`:计算并集的函数。
- `set_intersection()`:计算交集的函数。
- `set_difference()`:计算相对补集的函数。
- `set_symmetric_difference()`:计算对称差的函数。
在 `main()` 函数中,我们定义了两个集合 `set1` 和 `set2`,并调用了上述函数来计算它们的并集、交集、相对补集和对称差。最终输出结果如下:
```
Set A: {1, 3, 5, 7, 9}
Set B: {2, 4, 6, 8, 10}
Union: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Intersection: {}
Relative Complement of A\B: {1, 3, 5, 7, 9}
Relative Complement of B\A: {2, 4, 6, 8, 10}
Symmetric Difference: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
```
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