AlgebraicStructureTraits_ Namespace Reference

Classes
class	Div
	AdaptableBinaryFunction computes the integral quotient of division with remainder. More...
class	Divides
	AdaptableBinaryFunction, returns true if the first argument divides the second argument. More...
class	DivMod
	AdaptableFunctor computes both integral quotient and remainder of division with remainder. The quotient \( q\) and remainder \( r\) are computed such that \( x = q*y + r\) and \( |r| < |y|\) with respect to the proper integer norm of the represented ring. For integers this norm is the absolute value. For univariate polynomials this norm is the degree. In particular, \( r\) is chosen to be \( 0\) if possible. Moreover, we require \( q\) to be minimized with respect to the proper integer norm. More...
class	Gcd
	AdaptableBinaryFunction providing the gcd. More...
class	IntegralDivision
	AdaptableBinaryFunction providing an integral division. More...
class	Inverse
	AdaptableUnaryFunction providing the inverse element with respect to multiplication of a Field. More...
class	IsOne
	AdaptableUnaryFunction, returns true in case the argument is the one of the ring. More...
class	IsSquare
	AdaptableBinaryFunction that computes whether the first argument is a square. If the first argument is a square the second argument, which is taken by reference, contains the square root. Otherwise, the content of the second argument is undefined. More...
class	IsZero
	AdaptableUnaryFunction, returns true in case the argument is the zero element of the ring. More...
class	KthRoot
	AdaptableBinaryFunction providing the k-th root. More...
class	Mod
	AdaptableBinaryFunction computes the remainder of division with remainder. More...
class	RootOf
	AdaptableFunctor computes a real root of a square-free univariate polynomial. More...
class	Simplify
	This AdaptableUnaryFunction may simplify a given object. More...
class	Sqrt
	AdaptableUnaryFunction providing the square root. More...
class	Square
	AdaptableUnaryFunction, computing the square of the argument. More...
class	UnitPart
	This AdaptableUnaryFunction computes the unit part of a given ring element. More...