template_synthesis.numpy.utilities.geometry module¶

template_synthesis.numpy.utilities.geometry.angle_between(v1, v2)¶

Returns the angle in radians between vectors ‘v1’ and ‘v2’

Parameters:¶

v1 : array_like¶

First vector

v2 : array_like¶

Second vector

Returns:¶

angle – The angle (in radians) between the vectors

Return type:¶

float

Examples

>>> angle_between((1, 0, 0), (0, 1, 0))
1.5707963267948966

>>> angle_between((1, 0, 0), (1, 0, 0))
0.0

>>> angle_between((1, 0, 0), (-1, 0, 0))
3.141592653589793

template_synthesis.numpy.utilities.geometry.unit_vector(vector)¶

Normalize a vector to unit length

Parameters:¶

vector : array_like¶

The vector to normalize

Returns:¶

unit – The unit vector of the input vector.

Return type:¶

np.ndarray

Examples

>>> unit_vector(np.array([1, 0, 0]))
array([1., 0., 0.])

>>> unit_vector(np.array([0, 4, 0]))
array([0., 1., 0.])

>>> unit_vector(np.array([3, 6, -2]))
array([ 0.42857143,  0.85714286, -0.28571429])