include/realroot/ring_dual.hpp File Reference

#include <realroot/polynomial.hpp>
#include <realroot/sparse_dual.hpp>

Go to the source code of this file.

Classes

• struct Dual
• struct use< polynomial_of, polynomial< C, with< Dual, O > > >
• struct ring< C, Dual, O >

  Dual ring of the polynomials. More...
  

• struct mul_helper< polynomial< C, with< Sparse, O > >, polynomial< C, with< Dual, O > > >
• struct mul_helper< polynomial< C, with< Dual, O > >, polynomial< C, with< Sparse, O > > >

Namespaces

• namespace mmx

Defines

• #define TMPL   template<class C, class O>
• #define RING   ring<C,Dual,O>
• #define RING_POL   ring<C,Sparse,O>
• #define POL   polynomial<C,with<Sparse,O> >
• #define DUALPOL   polynomial<C,with<Dual,O> >

Functions

• template<class C , class O > C sample (const ring< C, Dual, O > &rg)
• template<class C , class O > define_operator_rrr (polynomial< C, with< Dual, O > >, polynomial< C, with< Sparse, O > >, polynomial< C, with< Dual, O > >, operator*, sparse::mul) template< class C
• class O define_operator_rrr (polynomial< C, with< Sparse, O > >, polynomial< C, with< Dual, O > >, polynomial< C, with< Sparse, O > >, operator*, sparse::mul) template< class P

Variables

• class O class Q struct mul_helper

---

Define Documentation

#define DUALPOL   polynomial<C,with<Dual,O> >

Definition at line 23 of file ring_dual.hpp.

#define POL   polynomial<C,with<Sparse,O> >

Definition at line 22 of file ring_dual.hpp.

Referenced by solver_cffirst< Real, POL >::all_roots(), solver_cffirst< Real, POL >::all_roots_isolate(), solver_mv_monomial< FT, POL >::approximate(), solver_cffirst< Real, POL >::first_root(), solver_cffirst< Real, POL >::first_root_approximate(), solver_cffirst< Real, POL >::first_root_floor(), solver_cffirst< Real, POL >::first_root_isolate(), mmx::realroot::include1(), box_rep< POL >::include1(), solver_mv_monomial< FT, POL >::isolate(), mmx::realroot::jacobian(), box_rep< POL >::l_bound(), box_rep< POL >::lface(), box_rep< POL >::maxs(), box_rep< POL >::mins(), mmx::realroot::miranda_test(), box_rep< POL >::miranda_test(), box_rep< POL >::rface(), mmx::run_solver(), mmx::sparse::scale(), mmx::sparse::shift(), mmx::solve(), solver< C, ProjRd< MTH > >::solve(), and mmx::realroot::topological_degree_2d().

#define RING   ring<C,Dual,O>

Definition at line 20 of file ring_dual.hpp.

#define RING_POL   ring<C,Sparse,O>

Definition at line 21 of file ring_dual.hpp.

#define TMPL   template<class C, class O>

Definition at line 19 of file ring_dual.hpp.