tf.math.special.fresnel_cos

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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.

Args:

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

Returns:

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

Scipy Compatibility

Equivalent to scipy.special.fresnel second output.