\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - Modular Arithmetic
Classes
Concepts
Modular Arithmetic Reference

Concepts

conceptModularizable
 An algebraic structure is called Modularizable, if there is a suitable mapping into an algebraic structure which is based on the type CGAL::Residue. For scalar types, e.g. Integers, this mapping is just the canonical homomorphism into the type CGAL::Residue with respect to the current prime. For compound types, e.g. Polynomials, the mapping is applied to the coefficients of the compound type. More...
 
conceptModularTraits::ModularImage
 This AdaptableUnaryFunction computes the modular image of the given value with respect to a homomorphism \( \varphi\) from the ModularTraits::Type into the ModularTraits::Residue_type. More...
 
conceptModularTraits::ModularImageRepresentative
 This AdaptableUnaryFunction returns a representative in the original type of a given modular image. More precisely, it implements the right inverse of a proper restriction of the homomorphism \( \varphi\), which is implemented by ModularTraits::ModularImage. More...
 
conceptModularTraits
 A model of ModularTraits is associated to a specific Type. In case this associated type is a model of Modularizable, this is indicated by the Boolean tag ModularTraits::Is_modularizable. The mapping into the Residue_type is provided by the functor ModularTraits::Modular_image. More...