include/realroot/polynomial_fcts.hpp File Reference

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

Go to the source code of this file.

Namespaces

• namespace mmx
• namespace mmx::let

  Namespace for explicit type conversion.

  
  

• namespace mmx::tensor

  namespace for representation of polynomials as dense tensor product.

  
  

Defines

• #define TMPL   template <class C, class Rep, class Ord>
• #define VARIANT   with<Rep,Ord>
• #define Polynomial   polynomial<C,VARIANT>

Functions

• template<class T > T pow (const T &a, int i)
• template<class C , class Rep , class Ord > int nbvar (const polynomial< C, with< Rep, Ord > > &mp)
• template<class C , class Rep , class Ord > int degree (const polynomial< C, with< Rep, Ord > > &mp)
• template<class C , class Rep , class Ord > int degree (const polynomial< C, with< Rep, Ord > > &mp, int v)
• template<class C , class Rep , class Ord > unsigned size (const polynomial< C, with< Rep, Ord > > &p)
• template<class C , class Rep , class Ord > std::ostream & operator<< (std::ostream &os, const polynomial< C, with< Rep, Ord > > &mp)
• template<class OSTREAM , class C , class Rep , class Ord > OSTREAM & print (OSTREAM &os, const polynomial< C, with< Rep, Ord > > &mp)
• template<class OSTREAM , class C , class Rep , class Ord > OSTREAM & print (OSTREAM &os, const polynomial< C, with< Rep, Ord > > &mp, const variables &Var)
• template<class C , class Rep , class Ord > std::string as_string (const polynomial< C, with< Rep, Ord > > &p)
• template<class C , class Rep , class Ord > std::string as_string (const polynomial< C, with< Rep, Ord > > &p, const variables &var)
• template<class C , class Rep , class Ord > polynomial< C, with< Rep, Ord > > diff (const polynomial< C, with< Rep, Ord > > &pol, int v)

  Multivariate Polynomial Differentiation.
  

• template<class C , class Rep , class Ord > polynomial< C, with< Rep, Ord > > diff (const polynomial< C, with< Rep, Ord > > &pol)

  Multivariate Polynomial Differentiation.
  

• template<class C , class Rep , class Ord > Seq< C > coefficients (const polynomial< C, with< Rep, Ord > > &pol)
• template<class C , class Rep , class Ord > Seq< polynomial< C, with< Rep,
  Ord > > > coefficients (const polynomial< C, with< Rep, Ord > > &pol, int v)
• template<class Result , class C , class Rep , class Ord , class Parameters > Result eval (const polynomial< C, with< Rep, Ord > > &polynomial, const Parameters &parameters)

  Multivariate Polynomial Evaluation.
  

• template<class Result , class C , class Rep , class Ord , class Parameters > Result eval (const polynomial< C, with< Rep, Ord > > &polynomial, const Parameters &parameters, int n)
• template<class Result , class C , class Rep , class Ord , class Parameters > void eval (Result &result, const polynomial< C, with< Rep, Ord > > &polynomial, const Parameters &parameters)
• template<class C , class Rep , class Ord > polynomial< C, with< Rep, Ord > > homogenize (const polynomial< C, with< Rep, Ord > > &p, const polynomial< C, with< Rep, Ord > > &v)
• template<class C , class Rep , class Ord > polynomial< C, with< Rep, Ord > > homogenize (const polynomial< C, with< Rep, Ord > > &p, int i, const polynomial< C, with< Rep, Ord > > &v)
• template<class C1 , class R1 , class C2 , class R2 > void assign (polynomial< C1, R1 > &p, const polynomial< C2, R2 > &q)
• template<class C1 , class R1 , class DOM , class C2 , class R2 > void assign (polynomial< C1, R1 > &p, const polynomial< C2, R2 > &q, const DOM &dmn)
• template<class POL1 , class C2 , class R2 , class V2 > POL1 as (const polynomial< C2, with< R2, V2 > > &p)
• template<class C , class Rep , class Ord > void face (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &p, int v, int f)
• template<class C , class Rep , class Ord > void split (polynomial< C, with< Rep, Ord > > &r, polynomial< C, with< Rep, Ord > > &p, int v)
• template<class MP > MP binomial (typename MP::coeff_t coeff, int i, int d, typename MP::coeff_t a)
• template<class C , class Rep , class Ord > void shift (polynomial< C, with< Rep, Ord > > &f, const C &t, const int &v)
• template<class C , class Rep , class Ord > void shift (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &p, int d, int v=0)
• template<class C , class Rep , class Ord > void reciprocal (polynomial< C, with< Rep, Ord > > &f, const int &v)
• template<class C , class Rep , class Ord > polynomial< C, with< Rep, Ord >
  >::Scalar content (const polynomial< C, with< Rep, Ord > > &p)

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Define Documentation

#define Polynomial   polynomial<C,VARIANT>

Definition at line 9 of file polynomial_fcts.hpp.

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

Definition at line 7 of file polynomial_fcts.hpp.

#define VARIANT   with<Rep,Ord>

Definition at line 8 of file polynomial_fcts.hpp.