#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_sinh is a function to compute sinh(x) using maclaurin series
and the interval of convergence is -inf < x < +inf
sinh(x) = x + x^3/3! + x^5/5! + x^7/7! ...........
"""
from math import *
def maclaurin_sinh(value, k):
"""
Compute maclaurin's series approximation for sinh(x)
"""
global first_value
first_value = 0.0
#attempt to Approximate sinh(x) for a given value
try:
for item in xrange(1,k,2):
next_value = (value*pi/180)**item/factorial(item)
first_value += next_value
return first_value
#Raise TypeError if input is not a number
except TypeError:
print 'Please enter an integer or a float value'
if __name__ == "__main__":
maclaurin_sinh1 = maclaurin_sinh(70,100)
print maclaurin_sinh1
maclaurin_sinh2 = maclaurin_sinh(45,100)
print maclaurin_sinh2
maclaurin_sinh3 = maclaurin_sinh(30,100)
print maclaurin_sinh3
######################################################################"C:\python
#1.54916726832
#0.868670961486
#0.547853473888
#####################################################################
