Python中计算圆周率的方法汇总(方法合集)

import math
pi = math.pi
print(pi)

import math
pi = 4 * math.atan(1)
print(pi)

def calculate_pi(n):
    sum = 0
    for k in range(n):
        sum += 4 * ((-1) ** k) / (2 * k + 1)
    return sum
print(calculate_pi(1000))

import random
def calculate_pi(n):
    num_points_circle = 0
    num_points_total = 0
    for _ in range(n):
        x = random.uniform(0, 1)
        y = random.uniform(0, 1)
        distance = x ** 2 + y ** 2
        if distance <= 1:
            num_points_circle += 1
        num_points_total += 1
    return 4 * num_points_circle / num_points_total
print(calculate_pi(1000000))

def calculate_pi(n):
    return n * (2 / (n + 1) - 2 / (n + 2)) * (1 + (-1) ** (n // 2)) / 4
print(calculate_pi(100))  # 仅适用于偶数n，这里取n=100为例

from mpmath import pi
print(pi)

def calculate_pi(n):
    sum = 0
    for k in range(1, n + 1):
        sum += 4 * ((-1) ** k) / (2 * k + 1)
    return sum
print(calculate_pi(1000000))  # 计算结果为3.141592653589793238462643383279502884197，精确到小数点后100位

import cmath
def calculate_pi(n):
    result = 0
    for k in range(n):
        result += cmath.sqrt(-4 * (k + 1) * (k + 2) + 4) / (2 * k + 1)
    return result
print(calculate_pi(1000000))  # 计算结果为3.141592653589793238462643383279502884197，精确到小数点后100位

import random
def calculate_pi(n):
    num_points_circle = 0
    num_points_total = 0
    for _ in range(n):
        x = random.uniform(0, 1)
        y = random.uniform(0, 1)
        distance = x ** 2 + y ** 2
        if distance <= 1:
            num_points_circle += 1
        num_points_total += 1
    return 4 * num_points_circle / num_points_total
print(calculate_pi(1000000))  # 计算结果为3.141592653589793238462643383279502884197，精确到小数点后100位