python下利用无穷级数计算pi值

原题：

代码：

import math

print("pi = %f" % math.pi)

pi = 1

n = 1

c = 1

delta = abs(2*pi - math.pi)

while(delta >= 0.00001):

    c *= n / (2*n+1)

    pi += c

    delta = abs(2*pi - math.pi)

    print("Calculate #%d : pi = %f, delta = %f" % (n, 2*pi, delta))

    n += 1

示例输出：

$ python pi.py

pi = 3.141593

Calculate #1 : pi = 2.666667, delta = 0.474926

Calculate #2 : pi = 2.933333, delta = 0.208259

Calculate #3 : pi = 3.047619, delta = 0.093974

Calculate #4 : pi = 3.098413, delta = 0.043180

Calculate #5 : pi = 3.121501, delta = 0.020092

Calculate #6 : pi = 3.132157, delta = 0.009436

Calculate #7 : pi = 3.137130, delta = 0.004463

Calculate #8 : pi = 3.139470, delta = 0.002123

Calculate #9 : pi = 3.140578, delta = 0.001014

Calculate #10 : pi = 3.141106, delta = 0.000487

Calculate #11 : pi = 3.141358, delta = 0.000234

Calculate #12 : pi = 3.141480, delta = 0.000113

Calculate #13 : pi = 3.141538, delta = 0.000055

Calculate #14 : pi = 3.141566, delta = 0.000026

Calculate #15 : pi = 3.141580, delta = 0.000013

Calculate #16 : pi = 3.141586, delta = 0.000006