tensorflow.math.special.fresnel_cos() function in Python

TensorFlow is open-source python library designed by Google to develop Machine Learning models and deep learning  neural networks.

fresnel_cos() function

fresnel_cos() is used to compute element wise Fresnel’s cosine integral of x. It is defined as the integral of cos(t^2) from 0 to x, with the domain of definition all positive real numbers.

Syntax: tensorflow.math.special.fresnel_cos( x, name)

Parameter:

• x: It’s a Tensor or Sparse Tensor. Allowed dtypes are float32 and float64.
• name(optional): It defines name for the operation.

Returns: It returns a Tensor of same dtype as x.

Example 1:

Python3

# importing the library
import tensorflow as tf

# Initializing the input tensor
a = tf.constant([ [-5, -7],[ 2, 0]], dtype=tf.float64)

# Printing the input tensor
print('a: ', a)

# Calculating result
res = tf.math.special.fresnel_cos(a)

# Printing the result
print('Result: ', res)

Output:

a:  tf.Tensor(
[[-5. -7.]
 [ 2.  0.]], shape=(2, 2), dtype=float64)
Result:  tf.Tensor(
[[-0.56363119 -0.54546709]
 [ 0.48825341  0.        ]], shape=(2, 2), dtype=float64)

Example 2:

Python3

# importing the library
import tensorflow as tf

# Initializing the input tensor
a = tf.constant([1, 2, 3, 4, 5], dtype=tf.float64)

# Printing the input tensor
print('a: ', a)

# Calculating result
res = tf.math.special.fresnel_cos(a)

# Printing the result
print('Result: ', res)

Output:

a:  tf.Tensor([1. 2. 3. 4. 5.], shape=(5,), dtype=float64) 
Result:  tf.Tensor([0.7798934  0.48825341 0.60572079 0.49842603 0.56363119], shape=(5,), dtype=float64)