#On the name of ALLAH and may the blessing and peace of Allah
#be upon the Messenger of Allah Mohamed Salla Allahu Aliahi Wassalam.
#Author : Fouad Teniou
#Date : 06/07/10
#version :2.6
"""
maclaurin_tan-1 is a function to compute tan-1(x) using maclaurin series
and the interval of convergence is -1 <= x <= +1
sin(x) = x - x^3/3 + x^5/5 - x^7/7 ...........
"""
from math import *
def error(number):
""" Raises interval of convergence error."""
if number > 1 or number < -1 :
raise TypeError,\
"\n<The interval of convergence should be -1 <= value <= 1 \n"
def maclaurin_cot(value, k):
"""
Compute maclaurin's series approximation for tan-1(x)
"""
global first_value
first_value = 0.0
#attempt to Approximate tan-1(x) for a given value
try:
error(value)
for item in xrange(1,k,4):
next_value = value**item/float(item)
first_value += next_value
for arg in range(3,k,4):
next_value = -1* value **arg/float(arg)
first_value += next_value
return round(first_value*180/pi,2)
#Raise TypeError if input is not within
#the interval of convergence
except TypeError,exception:
print exception
if __name__ == "__main__":
maclaurin_cot1 = maclaurin_cot(0.305730681,100)
print maclaurin_cot1
maclaurin_cot2 = maclaurin_cot(0.75355405,100)
print maclaurin_cot2
maclaurin_cot3 = maclaurin_cot(0.577350269,100)
print maclaurin_cot3
#################################################################
#"C:\python
#17.0
#37.0
#30.0
