Definition

Computes an isolating box for a given AlgebraicKernel_d_2::Algebraic_real_2.

Refines:: AdaptableFunctor

See Also: AlgebraicKernel_d_2::IsolateX_2; AlgebraicKernel_d_2::IsolateY_2; AlgebraicKernel_d_2::ComputePolynomialX_2; AlgebraicKernel_d_2::ComputePolynomialY_2

Types
typedef CGAL::cpp11::array < AlgebraicKernel_d_1::Bound, 4 >	result_type

Operations
result_type	operator() (AlgebraicKernel_d_2::Algebraic_real_2 a, AlgebraicKernel_d_2::Polynomial_2 f)
	The returned `CGAL::cpp11::array` $[xl,xu,yl,yu]$ represents an open isolating box $B=(xl,xu)\times(yl,yu)$ for $a$ with respect to $f$ . More...

result_type	operator() (AlgebraicKernel_d_2::Algebraic_real_2 a, AlgebraicKernel_d_2::Polynomial_2 f, AlgebraicKernel_d_2::Polynomial_2 g)
	The returned `CGAL::cpp11::array` $[xl,xu,yl,yu]$ represents an open isolating box $B=(xl,xu)\times(yl,yu)$ for $a$ with respect to the common solutions of $f$ and $g$ . More...

Member Function Documentation

result_type AlgebraicKernel_d_2::Isolate_2::operator()	(	AlgebraicKernel_d_2::Algebraic_real_2	a,
		AlgebraicKernel_d_2::Polynomial_2	f
	)

The returned CGAL::cpp11::array $[xl,xu,yl,yu]$ represents an open isolating box $B=(xl,xu)\times(yl,yu)$ for $a$ with respect to $f$ .

Precondition: $f(a)\neq0$

Postcondition: $a \in B$ .; $\{ r | f(r)=0 \} \cap\overline{B} = \emptyset$ .

result_type AlgebraicKernel_d_2::Isolate_2::operator()	(	AlgebraicKernel_d_2::Algebraic_real_2	a,
		AlgebraicKernel_d_2::Polynomial_2	f,
		AlgebraicKernel_d_2::Polynomial_2	g
	)

The returned CGAL::cpp11::array $[xl,xu,yl,yu]$ represents an open isolating box $B=(xl,xu)\times(yl,yu)$ for $a$ with respect to the common solutions of $f$ and $g$ .

It is not necessary that $a$ is a common solution of $f$ and $g$ .

Postcondition: $a \in B$ .; $\{ r | f(r)=g(r)=0 \} \cap\overline{B} \in\{\{a\},\emptyset\}$ .

Definition

Types

Operations

Member Function Documentation