Cauchy CDF

Problem

Cauchy cumulative distribution function with location x0 and scale gamma:

F(x) = 0.5 + atan((x - x0) / gamma) / pi.

Return 0.0 for gamma <= 0.

Hint

At x = x0 the CDF is one half by symmetry.

case 1

in: [0,1,0]

expected: 0.5

case 2

in: [0,1,1]

expected: 0.75

case 3

in: [0,1,-1]

expected: 0.25

case 4

in: [0,0,5]

expected: 0

Starter codePython

import math


def cauchy_cdf(x0, gamma, x):
    # Your code here
    pass

4 test cases · run your code against them in the editor