CGAL 5.3 - Algebraic Foundations
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...