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#coding=utf-8

'''

Created?on?2014-11-04

@author:?Neo

'''

import?sys

import?math

from?decimal?import?*

def?bbp(n):

pi=Decimal(0)

k=0

while?k?

pi+=(Decimal(1)/(16**k))*((Decimal(4)/(8*k+1))-(Decimal(2)/(8*k+4))-(Decimal(1)/(8*k+5))-(Decimal(1)/(8*k+6)))

k+=1

return?pi

def?main(argv):

if?len(argv)?!e69da5e6ba903231313335323631343130323136353331333335343331=2:

exit('Usage:?BaileyBorweinPlouffe.py??')

getcontext().prec=(int(sys.argv[1]))

my_pi=bbp(int(sys.argv[2]))

accuracy=100*(Decimal(math.pi)-my_pi)/my_pi

print?"Pi?is?approximately?"+str(my_pi)

print?"Accuracy?with?math.pi:?"+str(accuracy)

if?__name__=="__main__":

main(sys.argv[1:])

result:

d:\workspace\PyDemo>python test.py 10 10

Pi is approximately 3.141592653

Accuracy with math.pi: 1.877369797E-8

d:\workspace\PyDemo>python test.py 25 25

Pi is approximately 3.141592653589793238462644

Accuracy with math.pi: -3.898171852150198570978563E-15

d:\workspace\PyDemo>python test.py 40 40

Pi is approximately 3.141592653589793238462643383279502884195

Accuracy with math.pi: -3.898171832519375446564294863483061824361E-15

d:\workspace\PyDemo>

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