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NumPy: Test whether two arrays are element-wise equal within a tolerance

NumPy: Basic Exercise-9 with Solution

Write a NumPy program to test whether two arrays are element-wise equal within a tolerance.

Note: The tolerance values are positive, typically very small numbers. The relative difference (rtol * abs(b)) and the absolute difference atol are added together to compare against the absolute difference between a and b.

Sample Solution :

Python Code :

import numpy as np
print("Test if two arrays are element-wise equal within a tolerance:")
print(np.allclose([1e10,1e-7], [1.00001e10,1e-8]))
print(np.allclose([1e10,1e-8], [1.00001e10,1e-9]))
print(np.allclose([1e10,1e-8], [1.0001e10,1e-9]))
print(np.allclose([1.0, np.nan], [1.0, np.nan]))
print(np.allclose([1.0, np.nan], [1.0, np.nan], equal_nan=True))

Sample Output:

Test if two arrays are element-wise equal within a tolerance:
False
True
False
False
True

Python-Numpy Code Editor:

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Previous: Write a NumPy program to test element-wise for complex number, real number of a given array. Also test if a given number is a scalar type or not.
Next: Write a NumPy program to create an element-wise comparison (greater, greater_equal, less and less_equal) of two given arrays.

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m