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# How to compute the element-wise angle of the given input tensor in PyTorch?

To compute the elementwise angle of the given input tensor, we apply **torch.angle()**. It takes an input tensor and returns a tensor with angle in radian computed element wise. To convert the angles into the degree we multiply the angle in radian by **180/np.pi.** It supports both real and complex-valued tensors.

### Syntax

torch.angle(input)

### Steps

To compute the elementwise angle, you could follow the steps given below −

Import the required library. In all the following examples, the required Python library is

**torch**. Make sure you have already installed it.

import torch

Define torch tensors and print them.

input = torch.tensor([1 + 1j, -1 -4j, 3-2j])

Compute

**torch.angle(input)**. It is a tensor with angle in radians computed elementwise for the input.

angle = torch.angle(input)

Print the above computed tensor with angles in radians.

print("Angles in Radian:

", angle)

Let's take a couple of examples to demonstrate how to compute elementwise angles in radians and degrees.

## Example 1

In the Python3 program below we compute element wise angle in radians and degrees of the given input tensor.

# Python 3 program to compute the element-wise # angle (in radians and degree) of the given input tensor # Import the required libraries import torch from numpy import pi # define a complex input tensor input = torch.tensor([1 + 1j, -1 -4j, 3-2j]) # print the input tensor print("Input Tensor:

", input) # compute the angle in radians angle = torch.angle(input) # print the computed tensor of angles print("Angles in Radian:

", angle) # convert the angle s in degree degree = angle*180/pi # print the computed tensor of degree print("Angles in Degree:

", degree)

## Output

Input Tensor: tensor([ 1.+1.j, -1.-4.j, 3.-2.j]) Angles in Radian: tensor([ 0.7854, -1.8158, -0.5880]) Angles in Degree: tensor([ 45.0000, -104.0362, -33.6901])

## Example 2

In this program, we compute element wise angle in radians and degrees of the given input tensor.

# Python 3 program to to compute the element-wise # angle (in radians and degrees) of the given input tensor # Import the required libraries import torch from numpy import pi # define a complex input tensor real = torch.randn(3,4) imag = torch.randn(3,4) input = torch.complex(real, imag) # print the input tensor print("Input Tensor:

", input) # compute the angle in radians angle = torch.angle(input) # print the computed tensor of angles print("Angles in Radian:

", angle) # convert the angle s in degree degree = angle*180/pi # print the computed tensor of degree print("Angles in Degree:

", degree)

## Output

Input Tensor: tensor([[ 0.1967-0.0188j, -0.5311-1.2427j, 0.9937+0.0051j, - 1.8304-0.1321j], [-0.1787+1.7834j, 0.9925+0.2452j, -0.8813-0.0207j, - 0.4967+0.9938j], [-0.9051-0.1204j, 1.0013+0.3430j, 0.6131-0.0317j, - 0.3861+0.6365j]]) Angles in Radian: tensor([[-0.0955, -1.9747, 0.0052, -3.0695], [ 1.6707, 0.2422, -3.1181, 2.0343], [-3.0093, 0.3300, -0.0517, 2.1161]]) Angles in Degree: tensor([[ -5.4711, -113.1396, 0.2962, -175.8722], [ 95.7231, 13.8750, -178.6560, 116.5553], [-172.4209, 18.9103, -2.9624, 121.2437]])

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