#公式法
pi=0
N=100
for k in range(N):
    pi += 1/pow(16,k)*(4/(8*k+1)- 2/(8*k+4) -1/(8*k+5) - 1/(8*k+6) )   #累加 x+=1
print("圆周率值是: {}".format(pi))


#方法2
from random import random        #指定子库导入
from time import perf_counter    #可计算程序运行时间
DARTS = 1000000                  #撒点数量
hits = 0.0                       #在圆内部的点
start = perf_counter()
for i in range(1, DARTS+1):
    x, y = random(), random()
    dist = pow(x ** 2 + y ** 2, 0.5)
    if dist <= 1.0:
        hits = hits + 1
pi = 4 * (hits/DARTS)
print("圆周率值是: {}".format(pi))
print("运行时间是: {:.5f}s".format(perf_counter() - start))

圆周率值是: 3.141592653589793
圆周率值是: 3.142108
运行时间是: 1.25145s