CGAL 4.12.1 - Algebraic Kernel
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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.