Calculating Pi Digits with Chudnovsky#s Algorithm

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Code introduction


This code calculates the first n digits of Pi using Chudnovsky's algorithm. Chudnovsky's algorithm is a fast and high-precision method for calculating Pi.


Technology Stack : math, random, datetime, re, subprocess, hashlib, os, json

Code Type : Function

Code Difficulty :


                
                    
import random
import math
import datetime
import re
import subprocess
import hashlib
import os
import json

def calculate_pi_digits(n):
    """
    Calculate the first n digits of Pi using Chudnovsky's algorithm.
    """
    C = 426880 * math.sqrt(10005)
    M = 1
    L = 13591409
    X = 1
    K = 6
    S = L
    for i in range(1, n):
        M = (K**3 - 16*K) * M // i**3
        L += 545140134
        X *= -262537412640768000
        S += M * L // X
        K += 12
    pi = C / S
    return int(pi * 10**n)