Python USES triangle iteration to calculate PI

This example shows how python USES triangle iteration to calculate PI. Share with you for your reference. The details are as follows:

Method 1:

# Calculating PI using trigonometric iterations

# FB36 - 20130825

import math

x = 1.0

y = 1.0

z = 1.0

w = 1.0

v = 1.0

u = 1.0

for i in range(30):

 

    x = math.sin(x) + x

    y = math.cos(y) + y

    z = math.cos(z) + math.sin(z) + z

    w = math.cos(w) - math.sin(w) + w

    v =  math.cos(v) * math.sin(v) + v

    u =  math.cos(u) / math.sin(u) + u

    print i

    print x, y * 2.0, z * 4.0 / 3.0, w * 4.0, v * 2.0, u * 2.0

    print

Method 2:

# Calculating PI using trigonometric iterations

# FB36 - 20130901

import math

def sin2(x):

    return ((math.e ** complex(0.0, x) - math.e ** complex(0.0, -x)) / 2.0).imag

def cos2(x):

    return ((math.e ** complex(0.0, x) + math.e ** complex(0.0, -x)) / 2.0).real

x = 1.0

y = 1.0

x2 = 1.0

y2 = 1.0

for i in range(5):

    x = math.sin(x) + x

    y = math.cos(y) + y

    x2 = sin2(x2) + x2

    y2 = cos2(y2) + y2

    print i, x, x2, y * 2.0, y2 * 2.0

I hope this article has helped you with your Python programming.