#include <iostream>

void  read_in_coeff(float & a,float & b,float & c,float & d,float & e);
float get_val_of_name(char name);
float F(float a, float b, float c, float d, float e, float x);
void print_poly(float a, float b, float c, float  d, float e, float x, float y);

int main () {
   float a=1,b=2,c=3,d=4,e=5;
   float x=0,y=5;

   read_in_coeff(a,b,c,d,e) ;
   x = get_val_of_name('x');
   y = F(a,b,c,d,e,x);
   print_poly(a,b,c,d,e,x,y);

   return(0);
}
void  read_in_coeff(float & a,float & b,float & c,float & d,float & e) {
     cout << "Please enter the coefficients for the polynomial " << endl;
     cout << "    ax^4+bx^3+cx^2+dx+e" << endl;
     a = get_val_of_name('a');
     b = get_val_of_name('b');
     c = get_val_of_name('c');
     d = get_val_of_name('d');
     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(float a, float b, float c, float d, float e, float x){
    float rv;
//
// this is using horner's method for evaluating a polynomial
//
    rv = ((((a*x)+b)*x+c)*x+d)*x+e;
    return(rv);
}

void print_poly(float a, float b, float c, float d, float e, float x, float y){

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

}