pythagorean_trigonometric_identity_1d_1d

mdhelper.algorithm.accelerated.pythagorean_trigonometric_identity_1d_1d(r: ndarray[float], s: ndarray[float]) → float

Serial Numba-accelerated evaluation of the cross Pythagorean trigonometric identity for two one-dimensional NumPy arrays \(\mathbf{r}\) and \(\mathbf{s}\).

\[2\left(\sum_{i=1}^3\cos(r_i)\sum_{j=1}^3\cos(s_j) +\sum_{i=1}^3\sin(r_i)\sum_{j=1}^3\sin(s_j)\right)\]

Parameters:

rnp.ndarray

First vector \(\mathbf{r}\).

Shape: \((N_r,)\).

snp.ndarray

Second vector \(\mathbf{s}\).

Shape: \((N_s,)\).

Returns:

c2_s2float

Cross Pythagorean trigonometric identity for the vectors \(\mathbf{r}\) and \(\mathbf{s}\).