leibniz_formula.py

from typing import Iterator, TypeVar
from decimal import Decimal

it = int(input("Enter number of iterations: "))


def calculate_pi(till: int, factory: TypeVar) -> Iterator[int]:
    approx = factory(0)
    denom = factory(1)
    for i in range(till):
        if i % 2 == 0:
            approx += factory(1) / denom
        else:
            approx -= factory(1) / denom
        denom += 2
        yield approx * 4


int_pi = calculate_pi(it, int)
dec_pi = calculate_pi(it, Decimal)

for i, (int_res, dec_res) in enumerate(zip(int_pi, dec_pi)):
    print(f"int: {int_res} | dec: {dec_res} | diff: {abs(dec_res - Decimal(int_res))}")
    if i >= it:
        break

https://stackoverflow.com/questions/75395204/why-is-this-giving-me-a-bad-estimation-of-pi-leibniz-formula#75395338