CGAL 5.3  Algebraic Kernel

Computes the real roots of a univariate polynomial.
Operations  
template<class OutputIterator >  
OutputIterator  operator() (AlgebraicKernel_d_1::Polynomial_1 p, OutputIterator res) 
Computes all real solutions of \( p\) with multiplicity, and copies them as objects of type std::pair<AlgebraicKernel_d_1::Algebraic_real_1, AlgebraicKernel_d_1::Multiplicity_type> in res .  
template<class OutputIterator >  
OutputIterator  operator() (AlgebraicKernel_d_1::Polynomial_1 p, bool known_to_be_square_free, OutputIterator res) 
Computes all real solutions of \( p\), and copies them as objects of type AlgebraicKernel_d_1::Algebraic_real_1 in res . More...  
template<class OutputIterator >  
OutputIterator  operator() (AlgebraicKernel_d_1::Polynomial_1 p, AlgebraicKernel_d_1::Bound l, AlgebraicKernel_d_1::Bound u, OutputIterator res) 
Computes all real solutions of \( p\) in the closed interval \( [l,u]\) with multiplicity, and copies them as objects of type std::pair<AlgebraicKernel_d_1::Algebraic_real_1, AlgebraicKernel_d_1::Multiplicity_type> in res .  
template<class OutputIterator >  
OutputIterator  operator() (AlgebraicKernel_d_1::Polynomial_1 p, bool known_to_be_square_free, AlgebraicKernel_d_1::Bound l, AlgebraicKernel_d_1::Bound u, OutputIterator res) 
Computes all real solutions of \( p\) in the closed interval \( [l,u]\), and copies them as objects of type AlgebraicKernel_d_1::Algebraic_real_1 in res . More...  
OutputIterator AlgebraicKernel_d_1::Solve_1::operator()  (  AlgebraicKernel_d_1::Polynomial_1  p, 
bool  known_to_be_square_free,  
OutputIterator  res  
) 
Computes all real solutions of \( p\), and copies them as objects of type AlgebraicKernel_d_1::Algebraic_real_1
in res
.
The bool
known_to_be_square_free
indicates whether \( p\) is known to be square free. Each root, though it might be a multiple root, is reported only once.
OutputIterator AlgebraicKernel_d_1::Solve_1::operator()  (  AlgebraicKernel_d_1::Polynomial_1  p, 
bool  known_to_be_square_free,  
AlgebraicKernel_d_1::Bound  l,  
AlgebraicKernel_d_1::Bound  u,  
OutputIterator  res  
) 
Computes all real solutions of \( p\) in the closed interval \( [l,u]\), and copies them as objects of type AlgebraicKernel_d_1::Algebraic_real_1
in res
.
The bool
known_to_be_square_free
indicates whether \( p\) is known to be square free. Each root, though it might be a multiple root, is reported only once.