CGAL 4.12 - Modular Arithmetic

## 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...