用python计算圆周率PI

发布时间 2023-10-30 22:12:38作者: hhhh44

用莱布尼茨公式求圆周率π
莱布尼茨公式:π/4=1-1/3+1/5-1/7+1/9-1/11+……
python代码:

pi=1
num=1
for times in range(10000):
    num=num+2
    pi=pi-1/num
    num=num+2
    pi=pi+1/num
print("{0:.30f}".format(pi*4))

————————————————————
用马青法求圆周率π
马青公式:π = 16 arctan(1/5) - 4 arctan(1/239)
python代码:

import time
time1=time.time()
number = int(input('请输入想要计算到小数点后的位数n:'))
number1 = number+10
b = 10**number1
x1 = b*4//5
x2 = b// -239
he = x1+x2
number *= 2
for i in range(3,number,2):
    x1 //= -25
    x2 //= -57121
    x = (x1+x2) // i
    he += x
    pi = he*4
    pi //= 10**10
paistring=str(pi)
result=paistring[0]+str('.')+paistring[1:len(paistring)] 
print(result)
time2=time.time()
print ('总共耗时:' + str(time2 - time1) + 's')