CGAL 5.1 - Algebraic Foundations
AlgebraicStructureTraits_::IsSquare Concept Reference


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.

A ring element \( x\) is said to be a square iff there exists a ring element \( y\) such that \( x= y*y\). In case the ring is a UniqueFactorizationDomain, \( y\) is uniquely defined up to multiplication by units.

See also


typedef unspecified_type result_type
 Is AlgebraicStructureTraits::Boolean.
typedef unspecified_type first_argument
 Is AlgebraicStructureTraits::Type.
typedef unspecified_type second_argument
 Is AlgebraicStructureTraits::Type&.


result_type operator() (first_argument_type x, second_argument_type y)
 returns true in case \( x\) is a square, i.e. \( x = y*y\). More...
result_type operator() (first_argument_type x)
 returns true in case \( x\) is a square.

Member Function Documentation

◆ operator()()

result_type AlgebraicStructureTraits_::IsSquare::operator() ( first_argument_type  x,
second_argument_type  y 

returns true in case \( x\) is a square, i.e. \( x = y*y\).

\( unit\_part(y) == 1\).