PolynomialTraits_d::IntegralDivisionUpToConstantFactor Class Reference

#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.

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.