#ifndef POLYNOMIAL_H
#define POLYNOMIAL_H

#include <iostream>
using namespace std;

class Polynomial {

  friend bool operator==(const Polynomial & lhs, const Polynomial & rhs);

  public:

    // constructors
    Polynomial();
    Polynomial(double coefficients[], int number);
    Polynomial(const Polynomial & rhs);
    explicit Polynomial(double const_term);

    // destructor
    ~Polynomial();

    // named member functions
    int degree() const { return size - 1; }
    void print(ostream & out = cout) const;

    // assignment operators
    const Polynomial & operator= (const Polynomial & rhs);
    const Polynomial & operator+= (const Polynomial & rhs);
    const Polynomial & operator*= (double rhs);

  private:
    int size;       // size of the coefs array ( = degree + 1)
    double * coefs; // coefs will be an array
};

Polynomial operator+(const Polynomial & lhs, const Polynomial & rhs);

Polynomial operator*(const Polynomial & lhs, double rhs);
Polynomial operator*(double lhs, const Polynomial & rhs);

ostream & operator<<(ostream & out, const Polynomial & p);

#endif