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CGAL 5.4 - Algebraic Kernel
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AlgebraicKernel_d_1::Isolate_1 Concept Reference

Definition

Computes an open isolating interval for an AlgebraicKernel_d_1::Algebraic_real_1 with respect to the real roots of a given univariate polynomial.

Refines:
AdaptableBinaryFunction
See also
AlgebraicKernel_d_1::ComputePolynomial_1

Types

typedef std::pair< AlgebraicKernel_d_1::Bound, AlgebraicKernel_d_1::Boundresult_type
 
typedef AlgebraicKernel_d_1::Algebraic_real_1 first_argument_type
 
typedef AlgebraicKernel_d_1::Polynomial_1 second_argument_type
 

Operations

result_type operator() (first_argument_type a, second_argument_type p)
 Computes an open isolating interval I=(l,u) for a with respect to the real roots of p. More...
 

Member Function Documentation

◆ operator()()

result_type AlgebraicKernel_d_1::Isolate_1::operator() ( first_argument_type  a,
second_argument_type  p 
)

Computes an open isolating interval I=(l,u) for a with respect to the real roots of p.

It is not required that a is a root of p.

Postcondition
a \in I.
p(x) \neq0 | \forall x \in\overline{I}\backslash a.