CGAL 6.0 - Modular Arithmetic
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Concepts | |
concept | Modularizable |
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... | |
concept | ModularTraits |
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... | |
concept | ModularTraits::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... | |
concept | ModularTraits::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... | |