include/realroot/polynomial_operators.hpp File Reference

#include <realroot/texp_sup.hpp>
#include <realroot/texp_expression.hpp>
#include <realroot/texp_operators.hpp>

Go to the source code of this file.

Classes

• struct operators_of
• struct use< operators_of, polynomial< C, with< Rep, Ord > > >

Namespaces

• namespace mmx

Defines

• #define TMPL   template <class C, class Rep, class Ord>
• #define TMPLX   template <class C, class Rep, class Ord, class X>
• #define VARIANT   with<Rep,Ord>
• #define POLYNOMIAL   polynomial<C,VARIANT>
• #define Scalar   C
• #define OP   use<operators_of,typename POLYNOMIAL::rep_t>

Functions

• template<class C , class Rep , class Ord > void add (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a)
• template<class C , class Rep , class Ord > void add (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void add (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const C &b)
• template<class C , class Rep , class Ord > void add (polynomial< C, with< Rep, Ord > > &r, const C &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void sub (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a)
• template<class C , class Rep , class Ord > void sub (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void sub (polynomial< C, with< Rep, Ord > > &r, const C &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void sub (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const C &b)
• template<class C , class Rep , class Ord > void mul (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a)
• template<class C , class Rep , class Ord > void mul (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void mul (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const C &b)
• template<class C , class Rep , class Ord > void mul (polynomial< C, with< Rep, Ord > > &r, const C &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void div (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > void div (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const C &b)
• template<class C , class Rep , class Ord > void rem (polynomial< C, with< Rep, Ord > > &r, const polynomial< C, with< Rep, Ord > > &a, const polynomial< C, with< Rep, Ord > > &b)
• template<class C , class Rep , class Ord > polynomial< C, with< Rep, Ord > > operator- (const polynomial< C, with< Rep, Ord > > &p)
• template<class C , class Rep , class Ord > define_operator_rrr (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, operator+, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::add) template< class C
• class Ord class X define_operator_r_r (polynomial< C, with< Rep, Ord > >, X, polynomial< C, with< Rep, Ord > >, operator+, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::add) template< class C
• class Ord class X define_operator_rr_ (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, X, operator+, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::add) template< class C
• class Ord define_operator_rrr (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, operator-, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::sub) template< class C
• class Ord class X define_operator_rr_ (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, X, operator-, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::sub) template< class C
• class Ord class X define_operator_r_r (polynomial< C, with< Rep, Ord > >, X, polynomial< C, with< Rep, Ord > >, operator-, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::sub) template< class C
• class Ord define_operator_rrr (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, operator*, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::mul) template< class C
• class Ord class X define_operator_rr_ (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, X, operator*, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::mul) template< class C
• class Ord class X define_operator_r_r (polynomial< C, with< Rep, Ord > >, X, polynomial< C, with< Rep, Ord > >, operator*, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::mul) template< class C
• class Ord define_operator_rrr (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, operator/, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::div) template< class C
• class Ord class X define_operator_rr_ (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, X, operator/, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::div) template< class C
• class Ord define_operator_rrr (polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, polynomial< C, with< Rep, Ord > >, operator%, use< operators_of, typename polynomial< C, with< Rep, Ord > >::rep_t >::rem) template< class C
• class Ord polynomial< C, with
  < Rep, Ord > > operator^ (const polynomial< C, with< Rep, Ord > > &a, unsigned n)
• template<class C , class Rep , class Ord > bool operator== (const polynomial< C, with< Rep, Ord > > &mp, const C &c)
• template<class C , class Rep , class Ord > bool operator== (const polynomial< C, with< Rep, Ord > > &mp, unsigned n)
• template<class C , class V , class X > bool operator!= (const polynomial< C, V > &p, const X &q)

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Define Documentation

#define OP   use<operators_of,typename POLYNOMIAL::rep_t>

Definition at line 145 of file polynomial_operators.hpp.

#define POLYNOMIAL   polynomial<C,VARIANT>

Definition at line 11 of file polynomial_operators.hpp.

Referenced by mmx::coefficients(), mmx::flatten(), mmx::operator-(), mmx::polynomial_bernstein_tensor(), mmx::polynomial_bernstein_tensor_of(), mmx::polynomial_tensor(), mmx::polynomial_tensor_of(), mmx::ring_bernstein_extend_generic(), mmx::ring_sparse_of(), and mmx::ring_tensor_extend_generic().

#define Scalar   C

Definition at line 12 of file polynomial_operators.hpp.

Referenced by mmx::sparse::add(), mmx::sparse::diff(), solver< Ring, Bspline >::first_root(), mmx::mul(), mmx::univariate::mul_index(), polynomial< C, with< Rep, Ord > >::polynomial(), mmx::solve(), uv_binary_approx::subdivide(), mv_binary_approx::subdivide(), and binary_approx::subdivide().

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

Definition at line 8 of file polynomial_operators.hpp.

#define TMPLX   template <class C, class Rep, class Ord, class X>

Definition at line 9 of file polynomial_operators.hpp.

#define VARIANT   with<Rep,Ord>

Definition at line 10 of file polynomial_operators.hpp.