tf.math.special.fresnel_cos

Computes Fresnel's cosine integral of x element-wise.

tf.math.special.fresnel_cos(
    x, name=None
)

The Fresnel cosine integral is defined as the integral of cos(t^2) from 0 to x, with the domain of definition all real numbers.

The Fresnel cosine integral is odd.

>>> tf.math.special.fresnel_cos([-1., -0.1, 0.1, 1.]).numpy()
array([-0.7798934 , -0.09999753,  0.09999753,  0.7798934 ], dtype=float32)

This implementation is based off of the Cephes math library.

x A Tensor or SparseTensor. Must be one of the following types: float32, float64.
name A name for the operation (optional).

A Tensor or SparseTensor, respectively. Has the same type as x.

scipy compatibility

Equivalent to scipy.special.fresnel second output.