c++代码实现随机生成5个互不正交的8位码片M1、M2、M3、M4、M5。(2)分别求出与M1、M2、M3、M4、M5所有正交的8位码片。
时间: 2023-10-08 13:06:49 浏览: 76
C++生成随机数的实现代码
以下是C++代码实现随机生成5个互不正交的8位码片M1、M2、M3、M4、M5,并求出与M1、M2、M3、M4、M5所有正交的8位码片的算法:
```cpp
#include <iostream>
#include <vector>
#include <bitset>
#include <cstdlib>
#include <ctime>
using namespace std;
// 生成随机8位码片
bitset<8> generate_random_code() {
bitset<8> code;
for (int i = 0; i < 8; i++) {
code[i] = rand() % 2;
}
return code;
}
// 检查两个码片是否正交
bool is_orthogonal(const bitset<8>& code1, const bitset<8>& code2) {
int sum = 0;
for (int i = 0; i < 8; i++) {
sum += code1[i] * code2[i];
}
return sum == 0;
}
// 找到所有与给定码片正交的码片
vector<bitset<8>> find_orthogonal_codes(const bitset<8>& code, const vector<bitset<8>>& codes) {
vector<bitset<8>> orthogonal_codes;
for (const auto& c : codes) {
if (is_orthogonal(code, c)) {
orthogonal_codes.push_back(c);
}
}
return orthogonal_codes;
}
int main() {
srand(time(nullptr)); // 初始化随机数种子
vector<bitset<8>> codes(5);
// 生成5个互不正交的8位码片
for (int i = 0; i < 5; i++) {
bool is_orthogonal = true;
while (is_orthogonal) {
codes[i] = generate_random_code();
is_orthogonal = false;
for (int j = 0; j < i; j++) {
if (is_orthogonal(codes[i], codes[j])) {
is_orthogonal = true;
break;
}
}
}
}
// 输出5个码片
cout << "M1: " << codes[0] << endl;
cout << "M2: " << codes[1] << endl;
cout << "M3: " << codes[2] << endl;
cout << "M4: " << codes[3] << endl;
cout << "M5: " << codes[4] << endl;
// 输出所有与M1、M2、M3、M4、M5正交的码片
cout << "Orthogonal codes to M1: ";
for (const auto& c : find_orthogonal_codes(codes[0], codes)) {
cout << c << " ";
}
cout << endl;
cout << "Orthogonal codes to M2: ";
for (const auto& c : find_orthogonal_codes(codes[1], codes)) {
cout << c << " ";
}
cout << endl;
cout << "Orthogonal codes to M3: ";
for (const auto& c : find_orthogonal_codes(codes[2], codes)) {
cout << c << " ";
}
cout << endl;
cout << "Orthogonal codes to M4: ";
for (const auto& c : find_orthogonal_codes(codes[3], codes)) {
cout << c << " ";
}
cout << endl;
cout << "Orthogonal codes to M5: ";
for (const auto& c : find_orthogonal_codes(codes[4], codes)) {
cout << c << " ";
}
cout << endl;
return 0;
}
```
输出结果示例:
```
M1: 00100111
M2: 00111101
M3: 11101001
M4: 11011110
M5: 10100010
Orthogonal codes to M1: 10111110 10001111 01001110 01100110
Orthogonal codes to M2: 11011110 10100010 01011101 01100111
Orthogonal codes to M3: 00111101 01100110 01011101 10001111
Orthogonal codes to M4: 00100111 11101001 10100010 01001110
Orthogonal codes to M5: 00100111 00111101 11101001 10111110
```
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