from random import random
from time import perf_counter
DARTS=1000*1000
hits=0.0
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：{:2f}s".format(perf_counter()-start))

 

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)\
        )
print("圆周率是：{}".format(pi))