Polynome.cpp

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#include <Polynome.h>
 
Implemente_instanciable(Polynome,"Polynome",Objet_U);
 
 
 
/*! @brief Writes the coefficient array to an output stream.
 *
 * @param (Sortie& os) the output stream to use
 * @return (Sortie&) the modified output stream
 */
Sortie& Polynome::printOn(Sortie& os) const
{
  os << coeff_;
  return os;
}
 
 
/*! @brief Reads the coefficient array from an input stream.
 *
 * @param (Entree& is) the input stream to use
 * @return (Entree&) the modified input stream
 */
Entree& Polynome::readOn(Entree& is)
{
  is >> coeff_;
  return is;
}
 
 
/*! @brief Evaluates the polynomial at point x1.
 *
 * @param (double x1) evaluation point
 * @return (double) value of the polynomial
 */
double Polynome::operator()(double x1) const
{
  int n=coeff_.dimension(0);
  int i=0;
  double xi=1;
  double sum=0;
  while(n--)
    {
      sum+=coeff_(i++)*xi;
      xi*=x1;
    }
  return sum;
}
 
/*! @brief Evaluates the polynomial at point (x1, x2).
 *
 * @param (double x1) first variable evaluation point
 * @param (double x2) second variable evaluation point
 * @return (double) value of the polynomial
 */
double Polynome::operator()(double x1, double x2) const
{
  int n1=coeff_.dimension(0);
  int n2=coeff_.dimension(1);
  int i=0;
  int j=0;
  double xi=1;
  double xj=1;
  double sum=0;
  while(n1--)
    {
      xj=1.;
      n2=coeff_.dimension(1);
      j=0;
      while(n2--)
        {
          sum+=coeff_(i,j++)*xj*xi;
          xj*=x2;
        }
      xi*=x1;
      i++;
    }
  return sum;
}
 
/*! @brief Evaluates the polynomial at point (x1, x2, x3).
 *
 * @param (double x1) first variable evaluation point
 * @param (double x2) second variable evaluation point
 * @param (double x3) third variable evaluation point
 * @return (double) value of the polynomial
 */
double Polynome::operator()(double x1, double x2, double x3) const
{
  int n1=coeff_.dimension(0);
  int n2=coeff_.dimension(1);
  int n3=coeff_.dimension(2);
  int i=0;
  int j=0;
  int k=0;
  double xi=1;
  double xj=1;
  double xk=1;
  double sum=0;
  while(n1--)
    {
      xj=1.;
      n2=coeff_.dimension(1);
      j=0;
      while(n2--)
        {
          xk=1.;
          n3=coeff_.dimension(2);
          k=0;
          while(n3--)
            {
              sum+=coeff_(i,j,k++)*xk*xj*xi;
              xk*=x3;
            }
          xj*=x2;
          j++;
        }
      xi*=x1;
      i++;
    }
  return sum;
}
 
/*! @brief Evaluates the polynomial at point (x1, x2, x3, x4).
 *
 * @param (double x1) first variable evaluation point
 * @param (double x2) second variable evaluation point
 * @param (double x3) third variable evaluation point
 * @param (double x4) fourth variable evaluation point
 * @return (double) value of the polynomial
 */
double Polynome::operator()(double x1, double x2, double x3, double x4) const
{
  int n1=coeff_.dimension(0);
  int n2=coeff_.dimension(1);
  int n3=coeff_.dimension(2);
  int n4=coeff_.dimension(3);
  int i=0;
  int j=0;
  int k=0;
  int l=0;
  double xi=1;
  double xj=1;
  double xk=1;
  double xl=1;
  double sum=0;
  while(n1--)
    {
      xj=1.;
      n2=coeff_.dimension(1);
      j=0;
      while(n2--)
        {
          xk=1.;
          n3=coeff_.dimension(2);
          k=0;
          while(n3--)
            {
              xl=1.;
              n4=coeff_.dimension(3);
              l=0;
              while(n4--)
                {
                  sum+=coeff_(i,j,k,l++)*xl*xk*xj*xi;
                  xl*=x4;
                }
              xk*=x3;
              k++;
            }
          xj*=x2;
          j++;
        }
      xi*=x1;
      i++;
    }
  return sum;
}
 
 
/*! @brief Not implemented. Does nothing.
 *
 */
void Polynome::derive(int )
{
}
 
/*! @brief Not implemented. Does nothing.
 *
 */
void Polynome::integre(int )
{
}
 
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::derive(double ) const
{
  return 0;
}
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::derive(double , double ) const
{
  return 0;
}
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::derive(double , double , double ) const
{
  return 0;
}
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::derive(double , double , double , double ) const
{
  return 0;
}
 
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::integre(double ) const
{
  return 0;
}
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::integre(double , double ) const
{
  return 0;
}
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::integre(double , double , double ) const
{
  return 0;
}
 
/*! @brief Not implemented. Returns 0.
 *
 */
double Polynome::integre(double , double , double , double ) const
{
  return 0;
}
 
 
/*! @brief Not implemented. Does nothing. Returns *this.
 *
 */
Polynome& Polynome::operator +=(const Polynome&)
{
  return *this;
}
 
/*! @brief Not implemented. Does nothing. Returns *this.
 *
 */
Polynome& Polynome::operator -=(const Polynome&)
{
  return *this;
}
 
/*! @brief Not implemented. Does nothing. Returns *this.
 *
 */
Polynome& Polynome::operator *=(const Polynome&)
{
  return *this;
}
 
/*! @brief Not implemented. Does nothing. Returns *this.
 *
 */
Polynome& Polynome::operator *=(double)
{
  return *this;
}
 
/*! @brief Not implemented. Does nothing. Returns *this.
 *
 */
Polynome& Polynome::operator /=(double)
{
  return *this;
}