mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 15:01:08 +00:00
1f8a21d727
* Tighten up psf/black and flake8
* Fix some tests
* Fix some E741
* Fix some E741
* updating DIRECTORY.md
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
60 lines
1.5 KiB
Python
60 lines
1.5 KiB
Python
"""
|
|
Reference: https://en.wikipedia.org/wiki/Gaussian_function
|
|
|
|
python/black : True
|
|
python : 3.7.3
|
|
|
|
"""
|
|
from numpy import pi, sqrt, exp
|
|
|
|
|
|
def gaussian(x, mu: float = 0.0, sigma: float = 1.0) -> int:
|
|
"""
|
|
>>> gaussian(1)
|
|
0.24197072451914337
|
|
|
|
>>> gaussian(24)
|
|
3.342714441794458e-126
|
|
|
|
Supports NumPy Arrays
|
|
Use numpy.meshgrid with this to generate gaussian blur on images.
|
|
>>> import numpy as np
|
|
>>> x = np.arange(15)
|
|
>>> gaussian(x)
|
|
array([3.98942280e-01, 2.41970725e-01, 5.39909665e-02, 4.43184841e-03,
|
|
1.33830226e-04, 1.48671951e-06, 6.07588285e-09, 9.13472041e-12,
|
|
5.05227108e-15, 1.02797736e-18, 7.69459863e-23, 2.11881925e-27,
|
|
2.14638374e-32, 7.99882776e-38, 1.09660656e-43])
|
|
|
|
>>> gaussian(15)
|
|
5.530709549844416e-50
|
|
|
|
>>> gaussian([1,2, 'string'])
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: unsupported operand type(s) for -: 'list' and 'float'
|
|
|
|
>>> gaussian('hello world')
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: unsupported operand type(s) for -: 'str' and 'float'
|
|
|
|
>>> gaussian(10**234) # doctest: +IGNORE_EXCEPTION_DETAIL
|
|
Traceback (most recent call last):
|
|
...
|
|
OverflowError: (34, 'Result too large')
|
|
|
|
>>> gaussian(10**-326)
|
|
0.3989422804014327
|
|
|
|
>>> gaussian(2523, mu=234234, sigma=3425)
|
|
0.0
|
|
"""
|
|
return 1 / sqrt(2 * pi * sigma ** 2) * exp(-((x - mu) ** 2) / 2 * sigma ** 2)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|