\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5 - Algebraic Kernel
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CGAL::Algebraic_kernel_rs_gmpq_d_1 Class Reference
Models

#include <CGAL/Algebraic_kernel_rs_gmpq_d_1.h>

Definition

This univariate algebraic kernel uses the Rs library to perform rational univariate polynomial root isolation. It is a model of the AlgebraicKernel_d_1 concept. Due to the fact that RS can only isolate integer polynomials, the operations of this kernel have the overhead of converting the polynomials to integer.

Is Model Of:
AlgebraicKernel_d_1
See Also
Algebraic_kernel_rs_gmpz_d_1

Types

typedef unspecified_type Coefficient
 It is a typedef to CGAL::Gmpq.
 
typedef unspecified_type Polynomial_1
 It is defined as CGAL::Polynomial<CGAL::Gmpq>.
 
typedef unspecified_type Algebraic_real_1
 Type that represents the real roots of integer univariate polynomials, containing a pointer to the polynomial of which the represented algebraic number is root and and a CGAL::Gmpfi isolating interval.
 
typedef unspecified_type Bound
 Since the isolating intervals of the roots have type CGAL::Gmpfi, the bounds have type CGAL::Gmpfr.
 
typedef unspecified_type Multiplicity_type
 The multiplicity is an int.