//  Simple main program for the polynomial example.
//

#include <iostream>
using namespace std;

#include "polynomial.h"

void
main( )
{
  Polynomial f(2.2);

  f.assign_coefficient( 2.5, 2 );
  f.assign_coefficient( 5.0, 1 );
  f.assign_coefficient( 1.1, 3 );
  f.assign_coefficient( -2, 6 );
  f.assign_coefficient( 0.4, 8 );

  cout << "\nHere's f: " << f << endl;
  cout << "Degree of f = " << f.max_degree() << endl;
  cout << "Coefficent for x^1 = " << f.get_coefficient( 1 ) << endl;
  cout << "Coefficent for x^5 = " << f.get_coefficient( 5 ) << endl;
  cout << "Coefficent for x^12 = " << f.get_coefficient( 12 ) << endl;
  cout << "Evaluating: f(0) = " << f(0)
       << ", f(1) = " << f(1) << ", f(2) = " << f(2) << endl;
  cout << "Scaling: 10*f = " << 10*f << endl;
  cout << "Scaling: f*5 = " << f*5 << endl;

  Polynomial f2( f );
  f2.assign_coefficient( 0.2, 10 );
  f2.assign_coefficient( 1, 0 );
  cout << "\n\nHere's f2: " << f2 << endl;
  Polynomial g;
  g.assign_coefficient( 1.25, 5 );
  g.assign_coefficient( 1, 11 );
  g.assign_coefficient( 1.5, 3 );

  cout << "\n\nHere's g: " << g << endl;
  cout << "Evaluating:  g(2) = " << g(2) << endl;
  cout << "f+g = " << f+g << endl;
  cout << "g+f = " << g+f << endl;
  cout << "f*g = " << f*g << endl;
  cout << "g*f = " << g*f << endl;
  cout << "f-g = " << f-g << endl;
  cout << "g-f = " << g-f << endl;
}