mars.tensor.special.fresnel#

mars.tensor.special.fresnel(x, out=None, **kwargs)[source]#

Fresnel integrals.

The Fresnel integrals are defined as

\[\begin{split}S(z) &= \int_0^z \sin(\pi t^2 /2) dt \\ C(z) &= \int_0^z \cos(\pi t^2 /2) dt.\end{split}\]

See [dlmf] for details.

Parameters

z (array_like) – Real or complex valued argument
out (2-tuple of ndarrays, optional) – Optional output arrays for the function results

Returns

S, C – Values of the Fresnel integrals

Return type

2-tuple of scalar or ndarray