// Ryan Kightlinger


==========
Part A
==========
	

	degree()
	// returns the degree of a polynomial.

	getCoefficient(power)
	// returns the coefficient of the xpower term.

	changeCoefficient(newCoefficient, power)
	// Replaces the coefficient of the xpower term with newCoefficient

	addPolynomial(polynomial)
	// Adds the two polynomials together

	subractPolynomial(polynomial)
	// Subtracts the two polynomials



==========
PART B
==========




        // ********************************************************
        // Interface polynomialInterface for the ADT list.
        // *********************************************************
	public interface PolynomialInterface {
		
		public int degree();
		// Gets the degree value of the polynomial
		// Pre-Condition: the degree of the polynomial must be a real number
		// Post-Condition: returns the degree of specific polynomial
                

		public int getCoefficient(int power);
		// Gets the coefficient value of the polynomial
		// Pre-Condition: the coefficient of the polynomial must be a real number
		// Post-Condition: returns the coefficient value of the polynomial


		public int changeCoefficient(int newCoefficient,int power);
		// Changes the coefficient value
		// Pre-Condition: none
		// Post-Condition: returns the new value for the coefficient
                

		public int addPolynomial(Polynomial x);
		// calls the add polynomial method
		// Pre-Condition: none
		// Post-Condtion: adds the two polynomials together


		public subtractPolynomial(Polynomial x);  
		// calls the subtract polynomial method
		// Pre-Condition: none
		// Post-Condition: subtracts the two polynomials from each other

         }




========
Part C
========


// Ryan Kightlinger
// October 10, 2002
// This program will add and subtract two different polynomials

// Get the necessary Java library methods
import java.awt.*;
import java.applet.*;
import java.util.*;



public class Poly extends Applet {

        // defining the two polynomial arrays
	int[] adata = {9,0,-1,7,0,4}; // 4x^5 + 0x^4 + 7x^3 - x^2 + 0x + 9
	int[] bdata = {2,-3,4,-2,6,0,-3}; // -3x^7 + 0x^6 + 6x^5 -2x^4 + 0x^3 + 4x^2 -3x + 2

        int[] adddata = new int[100]; // holds the data for adding the arrays
	int[] subtractdata = new int[100] // holds the data for subtracting the arrays


        // Defines 2 new polynomials
	Polynomial a = new Polynomial();
	Polynomial b = new Polynomial();

      
        // calls changeCoefficient method
	for (int i=0; i < 5; i++){
	    a.changeCoefficient(adata[i],i);
	    b.changeCoefficient(bdata[i],i);
        }


        // calls addPolynomial method
	for (int i=0; i < 100; i++){
            
            adddata[i] = adata[i].addPolynomial(bdata[i];)

        }



        // calls subtractPolynomial method
	for (int i=0; i < 100; i++){
            
            subtractdata[i] = adata[1].subtractPolynomial(bdata[i]);

        }






        // ********************************************************
        // Interface polynomialInterface for the ADT list.
        // *********************************************************
	public interface PolynomialInterface {
		
		public int degree();
		// Gets the degree value of the polynomial
		// Pre-Condition: the degree of the polynomial must be a real number
		// Post-Condition: returns the degree of specific polynomial
                

		public int getCoefficient(int power);
		// Gets the coefficient value of the polynomial
		// Pre-Condition: the coefficient of the polynomial must be a real number
		// Post-Condition: returns the coefficient value of the polynomial


		public int changeCoefficient(int newCoefficient,int power);
		// Changes the coefficient value
		// Pre-Condition: none
		// Post-Condition: returns the new value for the coefficient
                

		public int addPolynomial(Polynomial x);
		// calls the add polynomial method
		// Pre-Condition: none
		// Post-Condtion: adds the two polynomials together


		public subtractPolynomial(Polynomial x);  
		// calls the subtract polynomial method
		// Pre-Condition: none
		// Post-Condition: subtracts the two polynomials from each other

         }

}




// -------------------------------------
//          The Polynomial CLASS
// -------------------------------------



	class Polynomial implements PolynomialInterface {

		private int[] data = new int[100]; {

                   // initializes the arrays to 0
                   for (int i=0; i < 100; i++){
			int[i] = 0;
		   }

                }



		public int getCoefficient(int power) {
			
			return data[power];

		}



		public int changeCoefficient(int newCoefficient,int power) {

                       int temp = newCoefficient;
                       int temp2 = power; 
                        			
                        newCoefficient = temp2;
                        power = temp;
                        
			return newCoefficient,power ;

		}




		public Polynomial addPolynomial(Polynomial x) {
			Polynomial z;
			for (int i=0; i < 100; i++){
				z.data[i] = data[i] + x.data[i];
				return z;
			}
		}




		public Polynomial subtractPolynomial(Polynomial x) {
			Polynomial y;
			for (int i=0; i < 100; i++){
				y.data[i] = data[i] - x.data[i];
				return y;
			}

		}

	   }