请使用python编写一个用于四元数与欧拉角互相转换的类
时间: 2024-02-13 15:00:22 浏览: 182
好的,以下是用Python编写的四元数与欧拉角互相转换的类:
```python
import math
class QuaternionAndEulerAnglesConverter:
def __init__(self, q=None, euler=None):
self.q = q
self.euler = euler
# Convert euler angles to quaternion
def euler_to_quaternion(self):
roll, pitch, yaw = self.euler[0], self.euler[1], self.euler[2]
cy = math.cos(yaw * 0.5)
sy = math.sin(yaw * 0.5)
cr = math.cos(roll * 0.5)
sr = math.sin(roll * 0.5)
cp = math.cos(pitch * 0.5)
sp = math.sin(pitch * 0.5)
q = [0] * 4
q[0] = cy * cr * cp + sy * sr * sp
q[1] = cy * sr * cp - sy * cr * sp
q[2] = cy * cr * sp + sy * sr * cp
q[3] = sy * cr * cp - cy * sr * sp
return q
# Convert quaternion to euler angles
def quaternion_to_euler(self):
q0, q1, q2, q3 = self.q[0], self.q[1], self.q[2], self.q[3]
# Roll (x-axis rotation)
sinr_cosp = 2 * (q0 * q1 + q2 * q3)
cosr_cosp = 1 - 2 * (q1 ** 2 + q2 ** 2)
roll = math.atan2(sinr_cosp, cosr_cosp)
# Pitch (y-axis rotation)
sinp = 2 * (q0 * q2 - q3 * q1)
if abs(sinp) >= 1:
pitch = math.copysign(math.pi / 2, sinp) # Use 90 degrees if out of range
else:
pitch = math.asin(sinp)
# Yaw (z-axis rotation)
siny_cosp = 2 * (q0 * q3 + q1 * q2)
cosy_cosp = 1 - 2 * (q2 ** 2 + q3 ** 2)
yaw = math.atan2(siny_cosp, cosy_cosp)
return [roll, pitch, yaw]
```
其中,`q`表示四元数,`euler`表示欧拉角,`euler_to_quaternion()`方法将欧拉角转换为四元数并返回,`quaternion_to_euler()`方法将四元数转换为欧拉角并返回。
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