CGAL 6.1 - Polynomial

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PolynomialTraits_d::IntegralDivisionUpToConstantFactor Concept Reference
Reference Manual » 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.