> For the complete documentation index, see [llms.txt](https://docs.1l.lol/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.1l.lol/basics/math-functions.md).

# 数学函数

### 常用数学函数

需要 `#include <cmath>`（`abs` 在 `<cstdlib>`）。

| 函数          | 作用                 |
| ----------- | ------------------ |
| `abs(x)`    | 绝对值                |
| `sqrt(x)`   | 平方根                |
| `pow(a, b)` | a 的 b 次方           |
| `ceil(x)`   | 向上取整               |
| `floor(x)`  | 向下取整               |
| `round(x)`  | 四舍五入               |
| `max(a, b)` | 较大值（`<algorithm>`） |
| `min(a, b)` | 较小值（`<algorithm>`） |

### 随机数

```cpp
#include <cstdlib>
#include <ctime>
srand(time(0));          // 设置随机种子
int x = rand() % 100;    // 0 ~ 99 的随机数
int y = rand() % 100 + 1;// 1 ~ 100
```

### 示例

```cpp
#include <iostream>
#include <cmath>
using namespace std;

int main() {
    cout << abs(-5) << endl;              // 5
    cout << sqrt(16) << endl;             // 4
    cout << pow(2, 10) << endl;           // 1024
    cout << ceil(3.2) << " " << floor(3.8) << endl; // 4 3
    cout << max(3, 7) << " " << min(3, 7) << endl;  // 7 3
    return 0;
}
```


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