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

** Name: 

** Filename: rolldie.cpp

** Project #: Deitel & Deitel 4.17

** Project Description: Write a program that simulates 
   the rolling of two dice. The program should use rand
   to roll the first die and should use rand again to 
   roll the second die. The sum of the two values should
   then be calculated. Note: Since each die can show an
   integer value from 1 to 6, then the sum of the two 
   values will vary from 2 to 12, with 7 being the most
   frequent sum and 2 and 12 being the least frequent sums.
   Your program should roll the two dice 36,000 times. Use
   a single-subscripted array to tally the numbers of 
   times each possible sum appears. Print the results in a 
   tabular format. Also, determine if the totals are 
   reasonable(i.e., there are six ways to roll a 7, so 
   approximately one sixth of all the rolls should be 7).

** Output: Results of rolling two dice 36,000 times and
           the number of each possible outcome.

** Input: None

** Algorithm: Roll two die 36000 times add the number
              of times each combination of the two dice
	      appears. Store them in the frequency array.
	      Print out the elements of the frequency array
	      skipping element 0 and element 1 since values
	      can only be in elements 2 through 12.

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

// Include files
#include <iostream>  // used for cin, cout
#include <conio.h>
#include <iomanip>
#include <cstdlib>
#include <ctime>
using namespace std;

// Global Type Declarations

// Function Prototypes
void instruct (void);
void pause ();

//Global Variables - should not be used without good reason.

int main ()
{
	 // Declaration section

	 const int arraySize = 13;           
         int die1,
	     die2,
	     frequency[ arraySize ] = { 0 };
	 
	 // Executable section
	 instruct ();

	 srand( time( 0 ) );
      
	 //Roll Dice 36000 times store result in frequency array
	 for ( int roll = 0; roll < 36000; ++roll ) {
             die1 = 1 + rand() % 6;
             die2 = 1 + rand() % 6;
             ++frequency[ die1 + die2 ];
   }
     //Column Headers
     cout << setw( 10 ) << "Dice Combination" 
		  << setw( 17 ) << "Frequency\n\n";

     //Start at Element 2 To Skip Elements 0 and Element 1
     for ( int combo = 2; combo < arraySize; ++combo )
     cout << setw( 9 ) << combo << setw( 18 ) << frequency[ combo ] 
	  << endl; 
           
         pause ();
	 return 0;
}

void instruct (void)
{
	  // Declaration section
     cout << "This program will simulate the rolling of two dice 36000 times. "
		   << "It will then\nprint out the results of how many times each "
		   << "combination of the two dice\nappeared. You should see in the "
		   << "results that the 7 combination will appear\nthe most with the 2 "
		   << "combination and the 12 combination appearing the least.\n"
		   << "_______________________________________________________________"
		   << "_____________"
		   << "\n" << endl;

	  // Executable section
}

void pause ()
{
    // Declaration section

    // Executable section
    cout << "\nPress any key to continue...";
    getch();
    cout << "\r";
    cout << "                            ";
    cout << "\r";
}


/*
Program Output

This program will simulate the rolling of two dice 36000 times. It will then
print out the results of how many times each combination of the two dice
appeared. You should see in the results that the 7 combination will appear
the most with the 2 combination and the 12 combination appearing the least.
____________________________________________________________________________

Dice Combination      Frequency

        2              1024
        3              1995
        4              3033
        5              3939
        6              4875
        7              6034
        8              5082
        9              3955
       10              3002
       11              2037
       12              1024

Press any key to continue...

*/