polynomial_fcts.hpp File Reference

#include <sstream>
#include <realroot/binomials.hpp>
#include <realroot/variables.hpp>
#include <realroot/Seq.hpp>

Go to the source code of this file.

Namespaces
	mmx
	mmx::let
	Namespace for explicit type conversion.
	mmx::tensor
	namespace for representation of polynomials as dense tensor product.

Macros
#define	TMPL   template <class C, class Rep, class Ord>
#define	VARIANT   with<Rep,Ord>
#define	Polynomial   polynomial<C,VARIANT>
#define	WITH_POW
#define	WITH_BINOMIAL_POWER

Functions
template<class T >
T	mmx::pow (const T &a, int i)
TMPL int	mmx::nbvar (const Polynomial &mp)
TMPL int	mmx::degree (const Polynomial &mp)
TMPL int	mmx::degree (const Polynomial &mp, int v)
TMPL unsigned	mmx::size (const Polynomial &p)
TMPL std::string	mmx::to_string (const Polynomial &mp, const variables &var)
TMPL std::ostream &	mmx::operator<< (std::ostream &os, const Polynomial &mp)
template<class OSTREAM , class C , class Rep , class Ord >
OSTREAM &	mmx::print (OSTREAM &os, const Polynomial &mp)
template<class OSTREAM , class C , class Rep , class Ord >
OSTREAM &	mmx::print (OSTREAM &os, const Polynomial &mp, const variables &Var)
TMPL std::string	mmx::as_string (const Polynomial &p)
TMPL std::string	mmx::as_string (const Polynomial &p, const variables &var)
TMPL Polynomial	mmx::diff (const Polynomial &pol, int v)
	Multivariate Polynomial Differentiation. More...
TMPL Polynomial	mmx::diff (const Polynomial &pol)
	Multivariate Polynomial Differentiation. More...
TMPL Seq< C >	mmx::coefficients (const Polynomial &pol)
TMPL Seq< Polynomial >	mmx::coefficients (const Polynomial &pol, int v)
template<class Result , class C , class Rep , class Ord , class Parameters >
Result	mmx::eval (const Polynomial &polynomial, const Parameters &parameters)
	Multivariate Polynomial Evaluation. More...
template<class Result , class C , class Rep , class Ord , class Parameters >
Result	mmx::eval (const Polynomial &polynomial, const Parameters &parameters, int n)
template<class Result , class C , class Rep , class Ord , class Parameters >
void	mmx::eval (Result &result, const Polynomial &polynomial, const Parameters &parameters)
TMPL Polynomial	mmx::homogenize (const Polynomial &p, const Polynomial &v)
TMPL Polynomial	mmx::homogenize (const Polynomial &p, int i, const Polynomial &v)
template<class C1 , class R1 , class C2 , class R2 >
void	mmx::let::assign (polynomial< C1, R1 > &p, const polynomial< C2, R2 > &q)
template<class C1 , class R1 , class DOM , class C2 , class R2 >
void	mmx::let::assign (polynomial< C1, R1 > &p, const polynomial< C2, R2 > &q, const DOM &dmn)
template<class POL1 , class C2 , class R2 , class V2 >
POL1	mmx::as (const polynomial< C2, with< R2, V2 > > &p)
TMPL void	mmx::tensor::face (Polynomial &r, const Polynomial &p, int v, int f)
TMPL void	mmx::tensor::split (Polynomial &r, Polynomial &p, int v)
template<class MP >
MP	mmx::binomial (typename MP::coeff_t coeff, int i, int d, typename MP::coeff_t a)
TMPL void	mmx::shift (Polynomial &f, const C &t, const int &v)
TMPL void	mmx::shift (Polynomial &r, const Polynomial &p, int d, int v=0)
TMPL void	mmx::reciprocal (Polynomial &f, const int &v)
TMPL Polynomial::Scalar	mmx::content (const Polynomial &p)

Macro Definition Documentation

#define Polynomial   polynomial<C,VARIANT>

#define TMPL   template <class C, class Rep, class Ord>

#define VARIANT   with<Rep,Ord>

#define WITH_BINOMIAL_POWER

#define WITH_POW