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Project 1 - Polynomial Class

# Project 1 - Polynomial Class - Robert J England II COS 221...

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Robert J. England II COS 221 Project 1 Polynomial Class Project done for Prof. Larry Latour Wednesday, October 11, 2006

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The following is the actual code used in the program. There are two classes; one is the Polynomial class, which provides the bulk of the code; the other is the Test class, which tests the Polynomial class extensively. The main program does nothing more than create a Test object, and the constructor of that object performs all of the testing. // Polynomial.cpp : // Polynomial class created by Robert J. England II // for COS 221 with Larry Latour // at the University of Maine in Orono // Friday, October 6, 2006 // #include "stdafx.h" #include <iostream> #include <math.h> #include "chplot.h" using namespace std; class Polynomial { public : // Constructors Polynomial(); // POST: A polynomial equivalent to zero is created Polynomial( double a0); // POST: A polynomial equivalent to constant a0 is created Polynomial(Polynomial & source); // POST: A new polynomial equivalent to this polynomial is // created // Clone method Polynomial clone(); // POST: A new polynomial equivalent to this polynomial is // created and returned // Modification methods void addToCoef( double amount, int k); // PRE: k >= 0 // POST: The value amount is added to the kth coefficient of the // polynomial void assignCoef( double newCoefficient, int k); // PRE: k >= 0 // POST: The kth coefficient of the polynomial is changed to the // value newCoefficient void clear(); // POST: The polynomial is set equivalent to zero void reserve( int newSize); // PRE: size must be greater than the current degree of the // polynomial // POST: Memory is reserved for size coefficients for the // polynomial // Accessor methods double coefficient( int k); // PRE: k >= 0 // POST: The kth coefficient of the polynomial is returned // If the degree of the polynomial is less than k, 0 is returned int getDegree() { return degree;};
// POST: The degree of the polynomial is created int nextTerm( int k); // POST: The next greater nonzero coefficient above k is // returned; if k is the greatest coefficient, -1 is returned; // if k is negative, function finds first nonzero coefficient // Evaluation method double evaluate( double x); // POST: The value of the polynomial at value x is returned // Arithmetic operators Polynomial operator + (Polynomial other); // POST: The algebraic sum of the polynomials is returned Polynomial operator - (Polynomial other); // POST: The algebraic difference of the polynomials is returned Polynomial operator * (Polynomial other); // POST: The algebraic product of the polynomials is returned Polynomial derivative(); // POST: The derivative of the polynomial is returned // Plot method void Polynomial::plotPoly( double low, double high, int res, char * title); // PRE: high > low; res > 0 // POST: The polynomial is plotted between values low and high, // with resolution res and graph title title private : // data fields double * coefficients; int degree; int size; }; Polynomial::Polynomial() // POST: A polynomial equivalent to zero is created { size = 0; degree = 0; coefficients = new double [size]; assignCoef(0, 0); } Polynomial::Polynomial( double a0) // POST: A polynomial equivalent to constant a0 is created { size = 0; degree = 0; coefficients = new double [size]; assignCoef(a0, 0); }

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