/*
 *  ==============================================================
 *  Evaluation of         f(x) = 2 + 3.x + 4.x^2 + 5.x^3 + 6.x^4
 *  using Horner's Rule        = 2 + x.(3. + x.(4 + x.(5. + 6.x)))
 *  ==============================================================
 */

#include <stdio.h>
#include <math.h>

int main( void ) {
  float fA = 2.0;
  float fB = 3.0;
  float fC = 4.0;
  float fD = 5.0;
  float fE = 6.0;
  float fX1;

/* [a] : Initialize value of X for polynomial evaluation */

   float fX = 2.0;

/* [b] : Evaluate polynomial as sum of product terms */

   fX1 = fA + fB*fX + fC*fX*fX + fD*fX*fX*fX + fE*fX*fX*fX*fX;
   printf("Sum of Product terms       : F(%4.2f) = %4.2f\n", fX ,fX1 );

/* [c] : Evaluate polynomial using mathematical power function */

   fX1 = fA + fB*fX + fC*pow( fX, 2.0 ) + fD*pow( fX, 3.0 ) + fE*pow( fX, 4.0 );
   printf("Using Power Math Functions : F(%4.2f) = %4.2f\n", fX ,fX1 );

/* [d] : Evaluate polynomial using Horner's Rule */

   fX1 = fA + fX*(fB + fX*(fC + fX*(fD + fX*fE)));
   printf("Using Horner's Rule        : F(%4.2f) = %4.2f\n", fX ,fX1 );
}