/**
 * Die Analyzer
 * @version 1.0
 * @author Cale McNulty
 *
 * This little program perferms some minor
 * statistical analysis on die roles to see
 * what's most preferable.
 */

import java.util.*;
import java.lang.Math;

public class DieAnalyzer
{
    public static void main (String[] args)
    {
        final int DICE_ROLLED = 5;
        final int GAMES_PLAYED = 10000;
        final int DIE_SIDES = 6;
        final int MODIFIER = 6;

        double stdDevAvg = 0;
        double dmgAvg = 0;

        for (int j = 0; j < GAMES_PLAYED; j++)
        {

            int nums[] = new int[DICE_ROLLED];
            int sum = 0;

            //Populate
            for (int i = 0; i < DICE_ROLLED; i++)
            {
                nums[i] = (int)((Math.random() * DIE_SIDES) + 1);
                sum += nums[i];

                //Format output - useful for rolling many dice
                switch ((i + 1) % 10)
                {
                    case 0: System.out.println(nums[i]);
                        break;
                    default: System.out.print(nums[i]);
                }


            }
            sum += MODIFIER;

            System.out.println("\n----------");

            double avg = (double)(sum / DICE_ROLLED);
            double devSum = 0.0;

            //Compute standard deviation
            for (int k = 0; k < DICE_ROLLED; k++)
            {
                devSum += Math.pow((avg - nums[k]), 2);
            }

            double stdDev = Math.sqrt((devSum/avg));
            stdDevAvg += stdDev;

            System.out.println("Damage for game " + j + ": " + sum);
            System.out.println("Average for game " + j + ": " + avg);
            System.out.println("Standard Deviation for game "
                + j +": " + stdDev + "\n\n");
            dmgAvg += sum;

        }
        dmgAvg /= GAMES_PLAYED;
        stdDevAvg /= GAMES_PLAYED;

        System.out.println(DICE_ROLLED + "d" + DIE_SIDES + "+" + MODIFIER);
        System.out.println("Average damage dealt: " + dmgAvg);
        System.out.println("Average standard deviation: " + stdDevAvg + "\n");
    }
}