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The concept ConformingDelaunayTriangulationTraits_2 refines the concept ConstrainedDelaunayTriangulationTraits_2 by providing a numeric field type FT, a type Vector_2 and several constructors on Vector_2, Point_2, and a predicate on angles. The field type has to be a model of the concept SqrtFieldNumberType. This field type and the constructors are used by the conforming algorithm to compute Steiner points on constrained edges.
| ConformingDelaunayTriangulationTraits_2::FT | |
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The field type. It must be a model of
SqrtFieldNumberType, that is must be a number type
supporting the operations +, -, *, /, and √ ⋅ .
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| ConformingDelaunayTriangulationTraits_2::Vector_2 | |
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The vector type.
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| ConformingDelaunayTriangulationTraits_2::Construct_vector_2 | |
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Constructor object. Must
provide the operator Vector_2 operator()(Point a, Point b)
that computes the vector b-a.
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| ConformingDelaunayTriangulationTraits_2::Construct_scaled_vector_2 | |
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Constructor object. Must
provide the operator Vector_2 operator()(Vector_2 v, FT scale)
that computes the vector scale ⋅ v.
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| ConformingDelaunayTriangulationTraits_2::Construct_translated_point_2 | |
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Constructor object. Must
provide the operator Point_2 operator()(Point_2 p, Vector_2 v)
that computes the point p + v.
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| ConformingDelaunayTriangulationTraits_2::Construct_midpoint_2 | |
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Constructor object. Must provide
the operator Point_2 operator()(Point_2 a, Point_2 b) that
computes the midpoint of the segment ab.
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| ConformingDelaunayTriangulationTraits_2::Compute_squared_distance_2 | |
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Constructor object. Must
provide the operator FT operator()(Point_2 a, Point_2 b) that
computes the squared distance between a and b.
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| ConformingDelaunayTriangulationTraits_2::Angle_2 | |
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Predicate object. Must provide the operator
CGAL::Angle operator()(Point_2 p, Point_2 q, Point_2 r) that
returns OBTUSE, RIGHT or ACUTE depending on the angle formed by the three
points p, q, r (q being the vertex of the angle).
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