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The concept FixedWeightedAlphaShapeTraits_3 describes the requirements for the geometric traits class of the underlying regular triangulation of a weighted alpha shape with fixed alpha value.
In addition to the requirements described in the concept RegularTriangulationTraits_3, the geometric traits class of a Regular triangulation plugged in a weighted alpha shape with fixed alpha value provides the following.
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CGAL::Comparison_result or Uncertain<CGAL::Comparison_result>
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An object constructor able to compare the squared radius of the
smallest sphere orthogonal to either four, three, two or one weighted point(s)
to a given value of alpha.
It provides: Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 ) Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ,Weighted_point_3 ) Comparison_result operator()(Weighted_point_3 ,Weighted_point_3 ) Comparison_result operator()(Weighted_point_3 )
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default constructor.
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CGAL::Regular_triangulation_euclidean_traits_3<K>,