//=========================================================================
#define PROGRAMMER "BAHN, William"
#define PROG_CODE  "bahw"
#define COURSE     "ECE-1021"
#define YEAR       (2003)
#define TERM       "Fall"
#define SECTION    (0)
#define ASSIGNMENT "RWA 4.8"
#define REVISION   (0)
#define TITLE      "Real World Application from Section 4.8"
#define SUBTITLE   "Summing a Series"
#define EMAIL      "wbahn@eas.uccs.edu"
#define FILENAME   "rwa0408.c"
//=========================================================================

// PROBLEM:
//
// MODIFIED FROM TEXT
//
// Sum the series:
//
//    y(n) = SUM{i=1 to n) 1/(i^2)
//
// Sum the series two ways:
//   1) Starting with the least significant term
//   2) Starting with the most significant term
//
// PSEUDOCODE
// 1) REM: Print Header
// 2) GET: number of terms from User
// 3) REM: Determine if year is a leap year
// 4) REM: Determine the day-of-week that year starts on
// 5) REM: Print Calandar
// 6) EXIT program


//== INCLUDE FILES ========================================================
#include <stdio.h> // printf(), scanf(), EOF
#include <math.h>  // sqrt()
#include <conio.h>  // gotoxy()
//== FUNCTION PROTOTYPES ==================================================
void PrintHeader(void);

//== MAIN FUNCTION ========================================================
int main(void)
{
	long int i, terms;
	double sum;

	PrintHeader();
	printf("\n"); // Print a blank line

	printf("Enter the number of terms to sum: ");
	scanf("%li", &terms);

	// Summing Forward

	for(sum = 0.0, i=1; i<=terms; i++)
		sum += 1.0 / ( (double) i * (double) i );

	printf("Sum (starting with Most  Sig Term): %.14f\n", sum);

	for(sum = 0.0, i=terms; i>0; i--)
		sum += 1.0 / ( (double) i * (double) i );

	printf("Sum (starting with Least Sig Term): %.14f\n", sum);

	printf("\n");
	printf("PROGRAM TERMINATED");
	return(0);
}

//== SUPPORT FUNCTIONS ====================================================
void PrintHeader(void)
{
	printf("========================================"
			 "=======================================\n");
	printf("Course....... %s-%i (%s %i)\n", COURSE, SECTION, TERM, YEAR);
	printf("Programmer... %s (%s)\n", PROGRAMMER, PROG_CODE);
	printf("Assignment... %s (Rev %i) (Source Code in %s)\n",
		ASSIGNMENT, REVISION, FILENAME);
	printf("Description.. %s\n", TITLE);
	printf("              %s\n", SUBTITLE);
	printf("========================================"
			 "=======================================\n");

	return;
}