#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_cosh is a function to compute cosh(x) using maclaurin series
and the interval of convergence is -inf < x < +inf
cosh(x) = 1+ x^2/2! + x^4/4! + x^6/6! ...........
"""
from math import *
def maclaurin_cosh(value, k):
"""
Compute maclaurin's series approximation for cosh(x).
"""
global first_value
first_value = 0.0
#attempt to Approximate cosh(x) for a given value
try:
for item in xrange(0,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_cosh1 = maclaurin_cosh(70,100)
print maclaurin_cosh1
maclaurin_cosh2 = maclaurin_cosh(45,100)
print maclaurin_cosh2
maclaurin_cosh3 = maclaurin_cosh(30,100)
print maclaurin_cosh3
######################################################################
#C:\python
#1.8438869882
#1.32460908925
#1.14023832108
Diff to Previous Revision
--- revision 1 2010-07-07 11:59:06
+++ revision 2 2010-07-07 12:01:34
@@ -41,10 +41,7 @@
maclaurin_cosh3 = maclaurin_cosh(30,100)
print maclaurin_cosh3
######################################################################
-#FT "C:\python
+#C:\python
#1.8438869882
#1.32460908925
#1.14023832108
-#####################################################################
-Hyperbolic functions are very common in the engineering field and they are related to trigonometric functions, thus, trigonometric functions could be expressed in terms of exponential(x)
-The hyperbolic cosine cosh(x) =(e^x + e^-x)/2.
