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AlgebraicKernel_d_2::Solve_2

Definition

Computes the real zero-dimensional solutions of a bivariate polynomial system. The multiplicity stored in the output iterator is the multiplicity in the system.

Refines

Assignable CopyConstructible

Operations

A model of this type must provide:

template < class OutputIterator >
OutputIterator fo ( AlgebraicKernel_d_2::Polynomial_2 f , AlgebraicKernel_d_2::Polynomial_2 g , OutputIterator res )
Computes all common solutions of f and g with multiplicity, and copies them as objects of type std::pair<AlgebraicKernel_d_2::Algebraic_real_2, AlgebraicKernel_d_2::Multiplicity_type> in res.
Precondition:  f is square free.
Precondition:  g is square free.
Precondition:  f and g are coprime.

template < class OutputIterator >
OutputIterator
fo ( AlgebraicKernel_d_2::Polynomial_2 f ,
AlgebraicKernel_d_2::Polynomial_2 g ,
AlgebraicKernel_d_2::Bound xl ,
AlgebraicKernel_d_2::Bound xu ,
AlgebraicKernel_d_2::Bound yl ,
AlgebraicKernel_d_2::Bound yu ,
OutputIterator res )
Computes all common solutions of f and g in the closed box [xl,xu] × [yl,yu], and copies them as objects of type std::pair<AlgebraicKernel_d_2::Algebraic_real_2, AlgebraicKernel_d_2::Multiplicity_type> in res.
Precondition:  f is square free.
Precondition:  g is square free.
Precondition:  f and g are coprime.

Next: AlgebraicKernel_d_2::NumberOfSolutions_2
Navigation: Up   Table of Contents   Package Overview   Bibliography   Index   Title   Acknowledging CGAL
CGAL Open Source Project. Release 3.7. 14 October 2010.