CGAL 6.1.2 - Polynomial: PolynomialTraits_d::PseudoDivisionQuotient Concept Reference

CGAL 6.1.2 - Polynomial

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PolynomialTraits_d::PseudoDivisionQuotient Concept Reference
Reference Manual » Concepts

## Definition

This `AdaptableBinaryFunction` computes the quotient of the pseudo division of two polynomials \( f\) and \( g\).

Given \( f\) and \( g \neq 0\) one can compute quotient \( q\) and remainder \( r\) such that \( D \cdot f = g \cdot q + r\) and \( degree(r) < degree(g)\), where \( D = leading\_coefficient(g)^{max(0, degree(f)-degree(g)+1)}\)

This functor computes \( q\).

Refines
  `AdaptableBinaryFunction`
  `CopyConstructible`
  `DefaultConstructible`

See also
  `Polynomial_d`
  `PolynomialTraits_d`
  `PolynomialTraits_d::PseudoDivision`
  `PolynomialTraits_d::PseudoDivisionRemainder`
  `PolynomialTraits_d::PseudoDivisionQuotient`

## 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)
| Returns the quotient \( q\) of the pseudo division of \( f\) and \( g\) with respect to the outermost variable \( x_{d-1}\).