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Calculate Pi to a specified number of digits

Jerome Scott answered on March 30, 2023 Popularity 9/10 Helpfulness 3/10

answer Calculate Pi to a specified number of digits

Calculate Pi to a specified number of digits

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Python PI precision function

from decimal import Decimal, getcontext
from typing import Iterator

class PiCalculator:
    def __init__(self, digits: int):
        self.digits = digits
        getcontext().prec = digits + 1

    def bbp_term(self, k: int) -> Decimal:
        """
        Calculate the k-th term of the Bailey-Borwein-Plouffe (BBP) formula.

        Args:
            k (int): The index of the term.

        Returns:
            Decimal: The k-th term of the BBP formula.
        """
        term = Decimal(1) / (16 ** k)
        a = Decimal(4) / (8 * k + 1)
        b = Decimal(2) / (8 * k + 4)
        c = Decimal(1) / (8 * k + 5)
        d = Decimal(1) / (8 * k + 6)
        return term * (a - b - c - d)

    def pi_digits(self) -> Decimal:
        """
        Calculate Pi to the specified number of digits using the Bailey-Borwein-Plouffe (BBP) formula.

        Returns:
            Decimal: The value of Pi to the specified number of digits.
        """
        pi = Decimal(0)
        for k in range(self.digits):
            pi += self.bbp_term(k)

        return pi

    def display(self):
        pi_value = self.pi_digits()
        print(f"Pi to {self.digits} digits: {pi_value:.{self.digits}f}")

if __name__ == "__main__":
    calculator = PiCalculator(50)
    calculator.display()

Popularity 9/10 Helpfulness 3/10 Language python

Source: Grepper

Tags: digits pi python python-decimal

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Contributed on Mar 30 2023

Jerome Scott

0 Answers Avg Quality 2/10

Calculate Pi to a specified number of digits

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