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"""

Implementing Secant method in Python

Author: dimgrichr

"""

from math import exp

def f(x: float) -> float:

"""

>>> f(5)

39.98652410600183

"""

return 8 * x - 2 * exp(-x)

def secant_method(lower_bound: float, upper_bound: float, repeats: int) -> float:

"""

>>> secant_method(1, 3, 2)

0.2139409276214589

"""

x0 = lower_bound

x1 = upper_bound

for i in range(0, repeats):

x0, x1 = x1, x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))

return x1

if __name__ == "__main__":

print(f"Example: {secant_method(1, 3, 2) = }")