bladex.profilebase.ProfileBase.rotate¶

ProfileBase.rotate(rad_angle=None, deg_angle=None)[source]¶

2D counter clockwise rotation about the origin of the Cartesian coordinate system.

The rotation matrix, $R(\theta)$ , is used to perform rotation in the 2D Euclidean space about the origin, which is – by default – the leading edge.

$R(\theta)$ is defined by:

$\left(\begin{matrix} cos (\theta) & - sin (\theta) \\ sin (\theta) & cos (\theta) \end{matrix}\right)$

Given the coordinates of point $P$ such that

$P = \left(\begin{matrix} x \\ y \end{matrix}\right),$

Then, the rotated coordinates will be:

$P^{'} = \left(\begin{matrix} x^{'} \\ y^{'} \end{matrix}\right) = R (\theta) \cdot P$

If a standard right-handed Cartesian coordinate system is used, with the X-axis to the right and the Y-axis up, the rotation $R (\theta)$ is counterclockwise. If a left-handed Cartesian coordinate system is used, with X-axis directed to the right and Y-axis directed down, $R (\theta)$ is clockwise.

Parameters:	rad_angle (float) – angle in radians. Default value is None deg_angle (float) – angle in degrees. Default value is None
Raises:	ValueError – if both rad_angle and deg_angle are inserted, or if neither is inserted