用python计算圆周率

CalPiV1.py 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))
print("圆周率值是:{}".format(pi))

CalPiV2.py 蒙特卡罗法

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:{:.5f}s".format(perf_counter() - start))

从不同角度看问题就会有不同发现。数学思维和计算思维各有千秋啊！