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/*****************************************************************************
Problem: A) To write a program using subroutines ( procedures or functions )
to evaluate the following sum:

f(x) = 1 + x^2/2! + x^4/4! +...........+ x^(2*(n-1))/(2*(n-1))!

Allow to the user enters a specific value for x and the number
of terms to evaluate as inputs. The program should output
the sum.
Example ( for Output ):
Enter a x value: 2.5
Enter the number of terms to evaluate: 8
f(x) = 6.13

A.1) Try to solve the problem using the regular structure:
Declaration part, main body, and implementation part

A.2) Try to solve the same problem using a Header File

Course: C++
Tutor : Guillermo Julca
Mercy College

View Output

****************************************************************************/
//---------------------------------------------------------------------------
#include <iostream.h>
#include <conio.h>
#include <iomanip.h>
#include "Sum.h"
#pragma hdrstop

//---------------------------------------------------------------------------

#pragma argsused
//Declaration
/*double FactorialN(int n);
double Term(double x,int NTerm); */

//Main body
int main(int argc, char* argv[])
{
double x;
int NumberTerm;
double sum;
cout<<"Enter a value for X : ";
cin>>x;
cout<<"Enter the number of terms that you want to evaluate: ";
cin>>NumberTerm;
sum=0;
for(int i=1; i<=NumberTerm; i++)
sum = sum + Term(x,i);
cout<<"F(x) = "<<setprecision(3)<<sum<<endl;
getchar();
return 0;
}

//Implementation
/*double FactorialN(int n)
{
int i;
double f;
f=1 ;
for(i=1;i<=n;i++)
f=f*i;
return f;

}
double Term(double x,int NTerm)
{
double aTerm;
aTerm=pow(x,2*(NTerm -1))/FactorialN(2*(NTerm - 1));
return aTerm;
} */
//---------------------------------------------------------------------------
/*****************************************************************************************

#ifndef SUM_H
#define SUM_H
double FactorialN(int n);
double Term(double x,int NTerm);

#endif //SUM_H

********************************************************************************************/

/********************************************************************************************

#include <math.h>
#include "Sum.h"
double FactorialN(int n)
{
int i;
double f;
f=1 ;
for(i=1;i<=n;i++)
f=f*i;
return f;

}
double Term(double x,int NTerm)
{
double aTerm;
aTerm=pow(x,2*(NTerm -1))/FactorialN(2*(NTerm - 1));
return aTerm;
}

View Output

******************************************************************************************/
//--------------------------------------------------------------------------------------------------------------------------

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