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

CGAL 4.8 - Polynomial

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
PolynomialTraits_d::IntegralDivisionUpToConstantFactor Concept Reference
Concepts

## Definition

This `AdaptableBinaryFunction` computes the integral division of two polynomials of type `PolynomialTraits_d::Polynomial_d` up to a constant factor (utcf) .

Precondition
  \( g\) divides \( f\) in \( Q(R)[x_0,\dots,x_{d-1}]\), where \( Q(R)\) is the quotient field of the base ring \( R\), `PolynomialTraits_d::Innermost_coefficient_type`.

Refines:

  `AdaptableBinaryFunction`

  `CopyConstructible`

  `DefaultConstructible`

See Also
  `Polynomial_d`
  `PolynomialTraits_d`
  `PolynomialTraits_d::GcdUpToConstantFactor`

## Types
typedef PolynomialTraits_d::Polynomial_d | result_type
typedef PolynomialTraits_d::Polynomial_d | first_argument_type
typedef PolynomialTraits_d::Polynomial_d | second_argument_type

## Operations
result_type | operator() (first_argument_type f, second_argument_type g)
| Computes \( f/g\) up to a constant factor.