#include <Concepts/PolynomialTraits_d--IntegralDivisionUpToConstantFactor.h>

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. More...

Member Typedef Documentation

◆ first_argument_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::IntegralDivisionUpToConstantFactor::first_argument_type

◆ result_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::IntegralDivisionUpToConstantFactor::result_type

◆ second_argument_type

typedef PolynomialTraits_d::Polynomial_d PolynomialTraits_d::IntegralDivisionUpToConstantFactor::second_argument_type

Member Function Documentation

◆ operator()()

result_type PolynomialTraits_d::IntegralDivisionUpToConstantFactor::operator()	(	first_argument_type	f,
		second_argument_type	g
	)

Computes \( f/g\) up to a constant factor.