reference https en wikipedia orgwikigaussianfunction gaussian1 0 24197072451914337 gaussian24 3 342714441794458e126 gaussian1 4 2 0 06475879783294587 gaussian1 5 3 0 05467002489199788 supports numpy arrays use numpy meshgrid with this to generate gaussian blur on images import numpy as np x np arange15 gaussianx array3 98942280e01 2 41970725e01 5 39909665e02 4 43184841e03 1 33830226e04 1 48671951e06 6 07588285e09 9 13472041e12 5 05227108e15 1 02797736e18 7 69459863e23 2 11881925e27 2 14638374e32 7 99882776e38 1 09660656e43 gaussian15 5 530709549844416e50 gaussian1 2 string traceback most recent call last typeerror unsupported operand types for list and float gaussian hello world traceback most recent call last typeerror unsupported operand types for str and float gaussian10234 doctest ignoreexceptiondetail traceback most recent call last overflowerror 34 result too large gaussian10326 0 3989422804014327 gaussian2523 mu234234 sigma3425 0 0 gaussian 1 0 24197072451914337 gaussian 24 3 342714441794458e 126 gaussian 1 4 2 0 06475879783294587 gaussian 1 5 3 0 05467002489199788 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
from numpy import exp, pi, sqrt


def gaussian(x, mu: float = 0.0, sigma: float = 1.0) -> int:
    
    return 1 / sqrt(2 * pi * sigma**2) * exp(-((x - mu) ** 2) / (2 * sigma**2))


if __name__ == "__main__":
    import doctest

    doctest.testmod()