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 $x_{d-1}$.