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

    x, name=None

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

tf.math.special.fresnel_sin([-1., -0.1, 0.1, 1.]).numpy() 
array([-0.43825912, -0.00052359,  0.00052359,  0.43825912], 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 first output.