How to generate PI (3.14) from the Gregory-Leibniz's formula

#!/usr/bin/env python3

# ---------------------------------------

# Project Name : PythonCheatSheet

# File Name    : Calculate-Pi-3-Gregory-Leibniz.py

# Created Date : 2023-02-02 12:46:25 UTC+7

# Last Modified: 2023-02-02 12:48:49 UTC+7

# ---------------------------------------

from pytictoc import TicToc

t = TicToc()  # create TicToc instance

t.tic()       # Start timer

print(f"================================")

# DO SOMETHING

# https://www.mathscareers.org.uk/calculating-pi/

# Gregory-Leibniz:

# Pi/4 = [1 - 1/3 + 1/5 - 1/7 + 1/9 - ...]

def my_pi(p_number: int) -> float:

    my_result = 0

    for i in range(1, n+1, 1):

        if i % 2 == 0:  # even

            my_result = my_result - 1/(2*i - 1)

        else:           # odd

            my_result = my_result + 1/(2*i - 1)

    return my_result*4

n = 1000000

print(f'my_pi({n}): {my_pi(n)}')

print(f"================================")

t.toc()       # Print elapsed time: "Elapsed time is <xxx> seconds."

# ---------------------------------------

# REF:

# https://mathshistory.st-andrews.ac.uk/HistTopics/1000_places/

# 3.14159265358979323846264338327950288419716939937510

# RESULT:

# WINDOWS 3900x:

# ================================

# my_pi(1.000.000): 3.1415916535897743

# ================================

# Elapsed time is 0.127023 seconds.

# Linux 3900x:

# ================================

# PI     : 3.1415916535897743

# ================================

# Elapsed time is 0.209464 seconds.

# ================================

# PI     : 3.1415916535897743

# ================================

# Elapsed time is 0.197258 seconds

# LINUX 5600g:

# n = 100  # 3.1315929035585537

# n = 500  # 3.139592655589785

# n = 700  # 3.1401640828900845

# n = 1.000  # 3.140592653839794

# n = 2.000  # 3.1410926536210413

# n = 3.000  # 3.1412593202657186

# n = 5.000  # 3.141392653591791    - 0.001042 seconds.

# n = 1.000.000   # 3.1415916535897743  - 0.074705 seconds.

# n = 10.000.000  # 3.1415925535897915  - 0.757600 seconds.

# n = 100.000.000 # 3.141592643589326   - 7.646685 seconds.

# n = 1.000.000.000     # 3.1415926525880504 - 81.178900 seconds.

# n = 1.000.000.000     # 3.1415926525880504 - 76.741032 seconds

# n = 10.000.000.000    # 3.141592653488346  - 937.967539 seconds.