#include <iostream>

struct poly {
    float a, // fourth degree coefficient
          b, // third degree coefficient
          c,d,e;
};

void  read_in_coeff(poly & p);
float get_val_of_name(char name);
float F(poly the_polynomial, float x);
void print_poly(poly p, float x, float y);

int main () {
   poly p;

   float x=0,y=5;
   read_in_coeff(p) ;
   x = get_val_of_name('x');
   y = F(p,x);
   print_poly(p,x,y);

   return(0);
}

void  read_in_coeff(poly & p) {
     cout << "Please enter the coefficients for the polynomial " << endl;
     cout << "    ax^4+bx^3+cx^2+dx+e" << endl;
     p.a = get_val_of_name('a');
     p.b = get_val_of_name('b');
     p.c = get_val_of_name('c');
     p.d = get_val_of_name('d');
     p.e = get_val_of_name('e');
}

float get_val_of_name( char name){
   float rv;

   cout << "Please enter a value for " << name << endl;
   cout << "=> ";
   cin >> rv;
   return(rv);
}

float F(poly the_polynomial, float x){
    float rv;
//
// this is using horner's method for evaluating a polynomial
//
    rv = ((((the_polynomial.a*x)
         +the_polynomial.b)*x
         +the_polynomial.c)*x
         +the_polynomial.d)*x
         +the_polynomial.e;
    return(rv);
}

void print_poly(poly p, float x, float y){

    cout << "F("<< x << ") ="<<y << endl;
    cout << "F(x) = " << p.a << "x^4 + " << p.b << " x^3 + " << p.c << " x^2 + "
                       << p.d << " x + " << p.e << endl;

}