// 22.5HV2 Software Engineering II
// Unit 1 Exercise 3

#include <iostream.h>
#include <iomanip.h>

float poly(float, float, float, float=0, float=0, float=0, float=0);

void main()
{
   int   i, order;
   float x, coeff[6];

   cout << "Enter order of polynomial (1-5) : ";
   cin >> order;

   for (i=0;i<=order;i++) {
      cout << "Enter coefficient for power " << i << " : ";
      cin >> coeff[i];
   }

   cout << endl << "Enter value of x: ";
   cin >> x;

   cout << endl << "The value of the polynomial is ";

   cout << setprecision(3);

   switch (order) {
      case 1: cout << poly(x,coeff[0],coeff[1]);  break;
      case 2: cout << cout << poly(x,coeff[0],coeff[1],coeff[2]); break;
      case 3: cout << poly(x,coeff[0],coeff[1],coeff[2],coeff[3]); break;
      case 4: cout << poly(x,coeff[0],coeff[1],coeff[2],coeff[3],coeff[4]); break;
      case 5: cout << poly(x,coeff[0],coeff[1],coeff[2],coeff[3],coeff[4],coeff[5]); break;
   }

   cout << endl;

}

float poly(float x, float a, float b, float c=0, float d=0, float e=0, float f=0)
{
   return a + b*x + c*x*x + d*x*x*x + e*x*x*x*x + f*x*x*x*x*x;
}