PolynomialTraits_d::PseudoDivisionRemainder Concept Reference

Definition

This AdaptableBinaryFunction computes the remainder 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 \( r\).

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 remainder \( r\) of the pseudo division of \( f\) and \( g\) with respect to the outermost variable \( x_{d-1}\).