Genfun::HermitePolynomial Class Reference

#include <HermitePolynomial.hh>

Inheritance diagram for Genfun::HermitePolynomial:

Public Member Functions
	HermitePolynomial (unsigned int N)
	HermitePolynomial (const HermitePolynomial &right)
virtual	~HermitePolynomial ()
virtual double	operator() (double argument) const override
virtual double	operator() (const Argument &a) const override
unsigned int	N () const
Derivative	partial (unsigned int) const override
virtual bool	hasAnalyticDerivative () const override
Public Member Functions inherited from Genfun::AbsFunction
	AbsFunction ()
	AbsFunction (const AbsFunction &right)
virtual	~AbsFunction ()
virtual unsigned int	dimensionality () const
virtual double	operator() (double argument) const =0
virtual double	operator() (const Argument &argument) const =0
virtual AbsFunction *	clone () const =0
virtual FunctionComposition	operator() (const AbsFunction &f) const
virtual ParameterComposition	operator() (const AbsParameter &p) const
Derivative	derivative (const Variable &v) const
Derivative	prime () const
virtual bool	hasAnalyticDerivative () const
virtual Derivative	partial (unsigned int) const

Detailed Description

Author

Definition at line 20 of file HermitePolynomial.hh.

Constructor & Destructor Documentation

HermitePolynomial() [1/2]

Genfun::HermitePolynomial::HermitePolynomial

(

unsigned int

N

)

Definition at line 11 of file HermitePolynomial.cc.

:_N(N)
{}

HermitePolynomial() [2/2]

Genfun::HermitePolynomial::HermitePolynomial

(

const HermitePolynomial &

right

)

Definition at line 18 of file HermitePolynomial.cc.

  :AbsFunction(), _N(right._N)
{  }

~HermitePolynomial()

Genfun::HermitePolynomial::~HermitePolynomial ( )

virtual

Definition at line 15 of file HermitePolynomial.cc.

                                      {
}

Member Function Documentation

hasAnalyticDerivative()

virtual bool Genfun::HermitePolynomial::hasAnalyticDerivative ( ) const

inlineoverridevirtual

Reimplemented from Genfun::AbsFunction.

Definition at line 46 of file HermitePolynomial.hh.

{return true;}

N()

unsigned int Genfun::HermitePolynomial::N

(

)

const

Definition at line 37 of file HermitePolynomial.cc.

                                        {
  return _N;
}

operator()() [1/2]

virtual double Genfun::HermitePolynomial::operator() ( const Argument &  a ) const

inlineoverridevirtual

Implements Genfun::AbsFunction.

Definition at line 37 of file HermitePolynomial.hh.

{return operator() (a[0]);}

operator()() [2/2]

double Genfun::HermitePolynomial::operator() ( double  argument ) const

overridevirtual

Implements Genfun::AbsFunction.

Definition at line 23 of file HermitePolynomial.cc.

                                                    {
  const static double h00=0.0;
  const static double h0=sqrt(M_PI/4.0);
  double p0=h00;
  double p1=h00;
  double pn=h0;
  for (unsigned int i=1;i<=_N;i++) {
    p0=p1;
    p1=pn;
    pn=x*sqrt(2.0/i)*p1-sqrt((i-1.0)/i)*p0;
  }
  return pn;
}

Referenced by operator()().

partial()

Derivative Genfun::HermitePolynomial::partial ( unsigned int  index ) const

overridevirtual

Reimplemented from Genfun::AbsFunction.

Definition at line 41 of file HermitePolynomial.cc.

                                                              {
  assert(index==0);
  if (_N>0) {
    const AbsFunction & fPrime = sqrt(2.0*_N)*HermitePolynomial(_N-1);
    return Derivative(& fPrime);
  }
  else {
    const AbsFunction & fPrime   = FixedConstant(0.0);
    return Derivative(& fPrime);
  }
}

---

The documentation for this class was generated from the following files:

• HermitePolynomial.hh
• HermitePolynomial.cc