DGtal: DGtal::MPolynomialDerivativeComputer< N, n, Ring, Alloc

#include <DGtal/math/MPolynomial.h>

Public Types
typedef MPolynomial< n, Ring, Alloc >	MPolyN
	Type for polynomial with n variable in the ring Ring. More...

Static Public Member Functions
static void	computeDerivative (const MPolyN &src, MPolyN &dest)

Detailed Description

template<int N, int n, typename Ring, typename Alloc>
class DGtal::MPolynomialDerivativeComputer< N, n, Ring, Alloc >

Utility class for computing the derivative of a given polynomial with respect to the N-th indeterminate, N > 0. Uses MPolynomialDerivativeComputer<N-1, n-1, T, Alloc> to partially derive the coefficients of the first indeterminate.

Template Parameters

N	the variable used for derivation.
n	the number of variables or indeterminates.
Ring	the type chosen for the polynomial, defines also the type of the coefficents (generally int, float or double).
Alloc	is an allocator for Ring, for example std::allocator<Ring>; this is also the default parameter. Usually this parameter does not needs to be changed.

This class is a backport from Spielwiese.

Definition at line 1897 of file MPolynomial.h.

Member Typedef Documentation

◆ MPolyN

template<int N, int n, typename Ring , typename Alloc >

typedef MPolynomial<n, Ring, Alloc> DGtal::MPolynomialDerivativeComputer< N, n, Ring, Alloc >::MPolyN

Type for polynomial with n variable in the ring Ring.

Definition at line 1901 of file MPolynomial.h.

Member Function Documentation

◆ computeDerivative()

template<int N, int n, typename Ring , typename Alloc >

static void DGtal::MPolynomialDerivativeComputer< N, n, Ring, Alloc >::computeDerivative	(	const MPolyN &	src,
		MPolyN &	dest
	)

inlinestatic

Computes the derivative of src with respect to X_N and puts it in dest.

Parameters

src	any polynomial
dest	(returns) the polynomial d/dX_N(src).

Definition at line 1911 of file MPolynomial.h.

     {
       dest.myValue.resize(src.degree() + 1);
       for ( int i = 0; i <= src.degree(); ++i )
         MPolynomialDerivativeComputer<N - 1, n - 1, Ring, Alloc>
           ::computeDerivative( src[i], dest[i] );
       dest.normalize();
     }

References DGtal::MPolynomial< n, TRing, TAlloc >::myValue, DGtal::MPolynomial< n, TRing, TAlloc >::normalize(), and DGtal::IVector< T, TAlloc, usePointers >::resize().

Referenced by DGtal::derivative().

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

MPolynomial.h

Public Types