\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Modular Arithmetic

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ModularTraits::ModularImage Concept Reference
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## Definition

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`.

The homomorphism preserves the mapping of `int` into both types , i.e., \( \varphi(\mathrm{Type}(i)) == \mathrm{Residue\_type}(i)\).

Refines:
  `AdaptableUnaryFunction`

See Also
  `ModularTraits`

## Types
typedef ModularTraits::Residue_type | result_type
typedef ModularTraits::Type | argument_type
result_type | operator() (const argument_type &x)
| computes \( \varphi(x)\).