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How to get all 2D diagonals of a 3D NumPy array?

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  • Difficulty Level : Basic
  • Last Updated : 02 Sep, 2020
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Let’s see the program for getting all 2D diagonals of a 3D NumPy array. So, for this we are using numpy.diagonal() function of NumPy library. This function return specified diagonals from an n-dimensional array. 

Syntax: numpy.diagonal(a, axis1, axis2)
Parameters: 

  • a: represents array from which diagonals has to be taken 
  • axis1: represents first axis to be taken for 2-d subarray 
  • axis2: represents second axis to be taken for 2-d subarray 

Return: array of diagonal elements.

Now, let’s see an example:

Example 1:

Python3




# Import the numpy package
import numpy as np
  
# Create 3D-numpy array
# of 4 rows and 4 columns
arr = np.arange(3 * 4 * 4).reshape(3, 4, 4)
  
print("Original 3d array:\n"
      arr)
  
# Create 2D diagonal array
diag_arr = np.diagonal(arr, 
                       axis1 = 1,
                       axis2 = 2)
  
print("2d diagonal array:\n"
      diag_arr)

Output:

Original 3d array:
 [[[ 0  1  2  3]
  [ 4  5  6  7]
  [ 8  9 10 11]
  [12 13 14 15]]

 [[16 17 18 19]
  [20 21 22 23]
  [24 25 26 27]
  [28 29 30 31]]

 [[32 33 34 35]
  [36 37 38 39]
  [40 41 42 43]
  [44 45 46 47]]]
2d diagonal array:
 [[ 0  5 10 15]
 [16 21 26 31]
 [32 37 42 47]]

Example 2:

Python3




# Import the numpy package
import numpy as np
  
# Create 3D numpy array
# of 3 rows and 4 columns
arr = np.arange(3 * 3 * 4).reshape(3, 3, 4)
  
print("Original 3d array:\n"
      arr)
  
# Create 2D diagonal array
diag_arr = np.diagonal(arr, 
                       axis1 = 1,
                       axis2 = 2)
  
print("2d diagonal array:\n",
      diag_arr)

Output:

Original 3d array:
 [[[ 0  1  2  3]
  [ 4  5  6  7]
  [ 8  9 10 11]]

 [[12 13 14 15]
  [16 17 18 19]
  [20 21 22 23]]

 [[24 25 26 27]
  [28 29 30 31]
  [32 33 34 35]]]
2d diagonal array:
 [[ 0  5 10]
 [12 17 22]
 [24 29 34]]

Example 3:

Python3




# Import the numpy package
import numpy as np
  
# Create 3D numpy array
# of 5 rows and 6 columns
arr = np.arange(3 * 5 * 6).reshape(3, 5, 6)
print("Original 3d array:\n",
      arr)
  
# Create 2D diagonal array
diag_arr = np.diagonal(arr, 
                       axis1 = 1,
                       axis2 = 2)
  
print("2d diagonal array:\n",
      diag_arr)

Output:

Original 3d array:
 [[[ 0  1  2  3  4  5]
  [ 6  7  8  9 10 11]
  [12 13 14 15 16 17]
  [18 19 20 21 22 23]
  [24 25 26 27 28 29]]

 [[30 31 32 33 34 35]
  [36 37 38 39 40 41]
  [42 43 44 45 46 47]
  [48 49 50 51 52 53]
  [54 55 56 57 58 59]]

 [[60 61 62 63 64 65]
  [66 67 68 69 70 71]
  [72 73 74 75 76 77]
  [78 79 80 81 82 83]
  [84 85 86 87 88 89]]]
2d diagonal array:
 [[ 0  7 14 21 28]
 [30 37 44 51 58]
 [60 67 74 81 88]]


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