#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_cos is a function to compute cos(x) using maclaurin series
and the interval of convergence is -inf < x < +inf
cos(x) = 1- x^2/2! + x^4/4! - x^6/6! ...........
"""
from math import *
def maclaurin_cos(value,k):
"""
Compute maclaurin's series approximation for cos(x).
"""
global first_value
first_value = 0.0
#attempt to Approximate cos(x) for a given value
try:
for item in xrange(0,k,4):
next_value = (value*pi/180)**item/factorial(item)
first_value += next_value
for item in xrange(2,k,4):
next_value = -1*(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_cos1 = maclaurin_cos(70,100)
print maclaurin_cos1
maclaurin_cos2 = maclaurin_cos(45,100)
print maclaurin_cos2
maclaurin_cos3 = maclaurin_cos(30,100)
print maclaurin_cos3
#####################################################################
#"C:\python
#0.342020143326
#0.707106781187
#0.866025403784
#####################################################################
Diff to Previous Revision
--- revision 1 2010-07-07 11:52:33
+++ revision 2 2010-07-07 11:56:52
@@ -3,3 +3,50 @@
#Author : Fouad Teniou
#Date : 06/07/10
#version :2.6
+
+"""
+maclaurin_cos is a function to compute cos(x) using maclaurin series
+and the interval of convergence is -inf < x < +inf
+cos(x) = 1- x^2/2! + x^4/4! - x^6/6! ...........
+"""
+
+from math import *
+
+def maclaurin_cos(value,k):
+ """
+ Compute maclaurin's series approximation for cos(x).
+ """
+
+ global first_value
+ first_value = 0.0
+
+ #attempt to Approximate cos(x) for a given value
+ try:
+ for item in xrange(0,k,4):
+ next_value = (value*pi/180)**item/factorial(item)
+ first_value += next_value
+
+ for item in xrange(2,k,4):
+ next_value = -1*(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_cos1 = maclaurin_cos(70,100)
+ print maclaurin_cos1
+ maclaurin_cos2 = maclaurin_cos(45,100)
+ print maclaurin_cos2
+ maclaurin_cos3 = maclaurin_cos(30,100)
+ print maclaurin_cos3
+#####################################################################
+#"C:\python
+#0.342020143326
+#0.707106781187
+#0.866025403784
+#####################################################################
