rot_x¶
- giant.rotations.rot_x(theta)[source]¶
This function performs a right handed rotation about the x axis by angle theta.
Mathematically this rotation is defined as:
\[\begin{split}\mathbf{R}_x(\theta)=\left[\begin{array}{ccc} 1 & 0 & 0 \\ 0 & \text{cos}(\theta) & -\text{sin}(\theta) \\ 0 & \text{sin}(\theta) & \text{cos}(\theta) \end{array}\right]\end{split}\]Theta should be in units of radians and can be a scalar or a vector. If theta is a vector then each theta value will have a corresponding rotation vector down the first axis of the output. For example:
>>> from giant.rotations import rot_x >>> rot_x([2, 0.5]) array([[[ 1. , 0. , 0. ], [ 0. , -0.41614684, -0.90929743], [ 0. , 0.90929743, -0.41614684]], [[ 1. , 0. , 0. ], [ 0. , 0.87758256, -0.47942554], [ 0. , 0.47942554, 0.87758256]]])
- Parameters:
theta (Sequence | ndarray | Real) – The angles to form the rotation matrix(ces) for
- Returns:
The rotation matrix(ces) corresponding to the rotation angle(s)
- Return type:
ndarray