DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX > Class Template Reference

#include <DGtal/math/MPolynomial.h>

Public Types
typedef TRing	Ring
typedef TAlloc	Alloc
typedef TX	X
typedef MPolynomial< n, Ring, Alloc >	MPolyN
typedef MPolynomial< n - 1, X, typename Alloc::template rebind< X >::other >	MPolyNM1

Public Member Functions
	operator MPolyNM1 () const
template<typename XX >
MPolynomialEvaluatorImpl< n - 1, Ring, MPolynomialEvaluator< n, Ring, Alloc, X >, Alloc, XX >	operator() (const XX &x) const

Private Member Functions
	MPolynomialEvaluator (const MPolyN &poly, const X &evalpoint)
template<typename XX , typename Fun >
void	evaluate (XX &res, const Fun &evalfun) const

Private Attributes
const MPolyN &	myPoly
	The polynomial in question.
const X &	myEvalPoint
	the evaluation point

Friends
class	MPolynomial< n, TRing, TAlloc >
template<int nn, class TT , class HLHL , class AA , class SS >
class	MPolynomialEvaluatorImpl

Detailed Description

template<int n, typename TRing, typename TAlloc, typename TX>
class DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >

The top level polynomial evaluation class, in case n > 1, i.e. in case the coefficients are polynomials by themselves.

This class is a backport from Spielwiese.

Definition at line 410 of file MPolynomial.h.

Member Typedef Documentation

Alloc

template<int n, typename TRing , typename TAlloc , typename TX >

typedef TAlloc DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::Alloc

Definition at line 419 of file MPolynomial.h.

MPolyN

template<int n, typename TRing , typename TAlloc , typename TX >

typedef MPolynomial< n, Ring, Alloc > DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::MPolyN

Definition at line 421 of file MPolynomial.h.

MPolyNM1

template<int n, typename TRing , typename TAlloc , typename TX >

typedef MPolynomial< n - 1, X, typename Alloc::template rebind<X>::other > DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::MPolyNM1

Definition at line 423 of file MPolynomial.h.

Ring

template<int n, typename TRing , typename TAlloc , typename TX >

typedef TRing DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::Ring

Definition at line 418 of file MPolynomial.h.

X

template<int n, typename TRing , typename TAlloc , typename TX >

typedef TX DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::X

Definition at line 420 of file MPolynomial.h.

Constructor & Destructor Documentation

MPolynomialEvaluator()

template<int n, typename TRing , typename TAlloc , typename TX >

DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::MPolynomialEvaluator ( const MPolyN & poly, const X & evalpoint )

inlineprivate

Definition at line 429 of file MPolynomial.h.

        : myPoly( poly ), myEvalPoint( evalpoint )
    {}

Member Function Documentation

evaluate()

template<int n, typename TRing , typename TAlloc , typename TX >

template<typename XX , typename Fun >

void DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::evaluate ( XX & res, const Fun & evalfun ) const

inlineprivate

Will be called by "child". Evaluates the polynomial into an element of XX (which must not necessarily be X, it can also be MPolynomial<k, X> for some k < n - 1) using the given functor to evaluate the coefficients, which are of type MPolynomial<n-1, Ring>.

Definition at line 441 of file MPolynomial.h.

    {
      X xx = (X) 1;
      for ( int i = 0; i < (int) myPoly.myValue.size(); ++i )
        {
          res += evalfun( myPoly.myValue[i] ) * xx;
          xx = xx * myEvalPoint;
        }
    }

References DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::myEvalPoint, DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::myPoly, DGtal::MPolynomial< n, TRing, TAlloc >::myValue, and DGtal::IVector< T, TAlloc, usePointers >::size().

operator MPolyNM1()

template<int n, typename TRing , typename TAlloc , typename TX >

DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::operator MPolyNM1 ( ) const

inline

Evaluate to polynomial of type MPolynomial< n-1, X>.

Definition at line 456 of file MPolynomial.h.

    {
      MPolyNM1 res( myPoly.getAllocator() );
      X xx = (X) 1;
      for ( int i = 0; i < (int) myPoly.myValue.size(); ++i )
        {
          res += MPolyNM1( myPoly.myValue[i] ) * xx;
          xx = xx * myEvalPoint;
        }
      return res;
    }

References DGtal::MPolynomial< n, TRing, TAlloc >::getAllocator(), DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::myEvalPoint, DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::myPoly, DGtal::MPolynomial< n, TRing, TAlloc >::myValue, and DGtal::IVector< T, TAlloc, usePointers >::size().

operator()()

template<int n, typename TRing , typename TAlloc , typename TX >

template<typename XX >

MPolynomialEvaluatorImpl< n - 1, Ring, MPolynomialEvaluator< n, Ring, Alloc, X >, Alloc, XX > DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::operator() ( const XX & x ) const

inline

Continue evaluation to lower level.

Definition at line 475 of file MPolynomial.h.

    {
      return MPolynomialEvaluatorImpl
        < n - 1, Ring, MPolynomialEvaluator< n, Ring, Alloc, X >, Alloc, XX > 
        ( *this, x );
    }

Friends And Related Symbol Documentation

MPolynomial< n, TRing, TAlloc >

template<int n, typename TRing , typename TAlloc , typename TX >

friend class MPolynomial< n, TRing, TAlloc >

friend

Definition at line 394 of file MPolynomial.h.

MPolynomialEvaluatorImpl

template<int n, typename TRing , typename TAlloc , typename TX >

template<int nn, class TT , class HLHL , class AA , class SS >

friend class MPolynomialEvaluatorImpl

friend

Definition at line 415 of file MPolynomial.h.

Field Documentation

myEvalPoint

template<int n, typename TRing , typename TAlloc , typename TX >

const X& DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::myEvalPoint

private

the evaluation point

Definition at line 426 of file MPolynomial.h.

Referenced by DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::evaluate(), DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::operator MPolyNM1(), and DGtal::MPolynomialEvaluator< 1, TRing, TAlloc, TX >::operator X().

myPoly

template<int n, typename TRing , typename TAlloc , typename TX >

const MPolyN& DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::myPoly

private

The polynomial in question.

Definition at line 425 of file MPolynomial.h.

Referenced by DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::evaluate(), DGtal::MPolynomialEvaluator< n, TRing, TAlloc, TX >::operator MPolyNM1(), and DGtal::MPolynomialEvaluator< 1, TRing, TAlloc, TX >::operator X().

---

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

• MPolynomial.h