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Required types and functors for the LinearCellComplexTraits concept. This geometric traits concept is used in the Linear_cell_complex class.
| static unsigned int | ambient_dimension; | The ambient dimension, must be >1. |
| LinearCellComplexTraits::FT | |
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a number type that is a model of FieldNumberType.
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| LinearCellComplexTraits::Point | |
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point type.
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| LinearCellComplexTraits::Vector | |
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vector type.
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| LinearCellComplexTraits::Construct_translated_point | |
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Functor that provides Point operator() (const Point& p, const Vector& v),
which constructs the translation of point p by vector v, and
Point operator() (const CGAL::Origin&, const Vector& v),
which constructs the translation of a point at the origin by vector v
(used in Linear_cell_complex::barycenter).
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| LinearCellComplexTraits::Construct_vector | |
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Functor that provides Vector operator() (const Point& p1, const Point& p2)
which constructs a vector as the difference of points p2-p1, and
Vector operator() (const CGAL::Origin&, const Point& p)
which constructs a vector as the difference of point p and a point at the origin
(used in Linear_cell_complex::barycenter and CGAL::import_from_plane_graph).
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| LinearCellComplexTraits::Construct_sum_of_vectors | |
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Functor that provides Vector operator() (const Vector& v1, const Vector& v2)
which constructs a vector as the sum of vectors v1+v2
(used in Linear_cell_complex::barycenter, CGAL::compute_normal_of_cell_0
and CGAL::compute_normal_of_cell_2).
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| LinearCellComplexTraits::Construct_scaled_vector | |
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Functor that provides Vector operator() (const Vector& v, FT scale)
which constructs a vector equal to vector v scaled by scale factor
(used in Linear_cell_complex::barycenter , CGAL::compute_normal_of_cell_0
and CGAL::compute_normal_of_cell_2).
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| LinearCellComplexTraits::Construct_midpoint | |
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Functor that provides Point operator() (const Point& p1, const Point& p2)
which constructs the midpoint of points p1 and p2
(used in Linear_cell_complex::barycenter).
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If ambient_dimension==2
| LinearCellComplexTraits::Direction_2 | |
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a model of Direction_2.
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| LinearCellComplexTraits::Construct_direction_2 | |
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a model of ConstructDirection_2 (used in CGAL::import_from_plane_graph).
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If ambient_dimension==3
| LinearCellComplexTraits::Construct_normal_3 | |
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a model of ConstructNormal_3 (used in CGAL::compute_normal_of_cell_2).
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| LinearCellComplexTraits::Collinear_3 | |
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a model of Collinear_3 (used in CGAL::compute_normal_of_cell_2).
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CGAL::Linear_cell_complex_traits<d,K>.