写一个C语言欧拉角算法
时间: 2023-11-25 14:11:21 浏览: 140
欧拉角算法是将陀螺仪的角速度数据转换为欧拉角,从而得到姿态信息的一种算法。下面是一个简单的 C 语言欧拉角算法示例:
```c
#include <math.h>
void euler_angles(float gx, float gy, float gz, float ax, float ay, float az, float mx, float my, float mz, float* pitch, float* roll, float* yaw)
{
// 定义变量
float sin_pitch, cos_pitch, sin_roll, cos_roll, sin_yaw, cos_yaw;
float ax_h, ay_h, az_h, mx_h, my_h, mz_h;
float q0, q1, q2, q3;
// 单位换算
gx = gx * M_PI / 180;
gy = gy * M_PI / 180;
gz = gz * M_PI / 180;
ax = ax / 16384.0;
ay = ay / 16384.0;
az = az / 16384.0;
mx = mx / 10.0;
my = my / 10.0;
mz = mz / 10.0;
// 计算加速度计和磁力计的水平分量
ax_h = ax * cos(gy) + ay * sin(gx) * sin(gy) - az * cos(gx) * sin(gy);
ay_h = ay * cos(gx) + az * sin(gx);
az_h = ax * sin(gy) - ay * sin(gx) * cos(gy) + az * cos(gx) * cos(gy);
mx_h = mx * cos(gy) + my * sin(gx) * sin(gy) - mz * cos(gx) * sin(gy);
my_h = my * cos(gx) + mz * sin(gx);
mz_h = mx * sin(gy) - my * sin(gx) * cos(gy) + mz * cos(gx) * cos(gy);
// 根据水平分量计算 pitch、roll 和 yaw
pitch = atan2(ay_h, sqrt(ax_h * ax_h + az_h * az_h));
roll = atan2(-ax_h, az_h);
yaw = atan2(-my_h, mx_h);
// 计算四元数
sin_pitch = sin(pitch / 2);
cos_pitch = cos(pitch / 2);
sin_roll = sin(roll / 2);
cos_roll = cos(roll / 2);
sin_yaw = sin(yaw / 2);
cos_yaw = cos(yaw / 2);
q0 = cos_yaw * cos_pitch * cos_roll + sin_yaw * sin_pitch * sin_roll;
q1 = cos_yaw * sin_pitch * cos_roll + sin_yaw * cos_pitch * sin_roll;
q2 = sin_yaw * cos_pitch * cos_roll - cos_yaw * sin_pitch * sin_roll;
q3 = cos_yaw * cos_pitch * sin_roll - sin_yaw * sin_pitch * cos_roll;
// 根据四元数计算 pitch、roll 和 yaw
pitch = atan2(2 * (q0 * q1 + q2 * q3), 1 - 2 * (q1 * q1 + q2 * q2));
roll = asin(2 * (q0 * q2 - q3 * q1));
yaw = atan2(2 * (q0 * q3 + q1 * q2), 1 - 2 * (q2 * q2 + q3 * q3));
// 单位换算
*pitch = *pitch * 180 / M_PI;
*roll = *roll * 180 / M_PI;
*yaw = *yaw * 180 / M_PI;
}
```
该算法将陀螺仪、加速度计和磁力计的数据作为输入,计算得到欧拉角 pitch、roll 和 yaw,具体实现过程如下:
1. 将角速度数据 gx、gy、gz 转换为弧度制。
2. 将加速度计和磁力计的数据进行单位换算。
3. 根据加速度计和磁力计的水平分量计算 pitch、roll 和 yaw。
4. 根据 pitch、roll 和 yaw 计算四元数 q0、q1、q2、q3。
5. 根据四元数计算 pitch、roll 和 yaw。
6. 将 pitch、roll 和 yaw 转换为角度制。
需要注意的是,该算法只是一个简单的示例,实际应用中可能需要根据具体情况进行修改和优化。
阅读全文
相关推荐
![text/x-c](https://img-home.csdnimg.cn/images/20250102104920.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![rar](https://img-home.csdnimg.cn/images/20241231044955.png)
![-](https://img-home.csdnimg.cn/images/20241231045053.png)
![-](https://img-home.csdnimg.cn/images/20241231045053.png)
![-](https://img-home.csdnimg.cn/images/20241231045021.png)
![-](https://img-home.csdnimg.cn/images/20241231044955.png)
![-](https://img-home.csdnimg.cn/images/20241226111658.png)
![-](https://img-home.csdnimg.cn/images/20241226111658.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)