How to do the Bisection method in Python

Question

I want to make a Python program that will run a bisection method to determine the root of:

f(x) = -26 + 85x - 91x2 +44x3 -8x4 + x5

The Bisecti

Answer 1

It is possible to modify the Bisection-method above with a tolerance as the stopper:

def samesign(a, b):
        return a*b > 0

def bisect(func, low, high):
    assert not samesign(func(low), func(high))
    n = 20
    e = 0.01 # the epsilon or error we justify for tolerance
    for i in range(n):
        if abs(func(low)-func(high)) > e:
            midpoint = (low + high) / 2
            print(i, midpoint, f(midpoint))
            if samesign(func(low), func(midpoint)):
                low = midpoint
            else:
                high = midpoint
        else:
            return round(midpoint, 2)
    return round(midpoint, 2)