mirror of https://github.com/CGAL/cgal
542 lines
20 KiB
TeX
542 lines
20 KiB
TeX
\begin{ccRefConcept}{Kernel}
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The concept of a {\em kernel} is defined by a set of requirements on
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the provision of certain types and access member functions to create
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objects of these types. The types are function object classes to be used
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within the algorithms and data structures in the basic library of \cgal.
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This allows you to use any model of a kernel as a traits class in
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the \cgal\ algorithms and data structures, unless they require types
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beyond those provided by a kernel.
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%A kernel subsumes the concepts of {\em two-dimensional kernel},
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%{\em three-dimensional kernel}, and {\em $d$-dimensional kernel}.
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A kernel provides types, construction objects, and generalized predicates.
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The former replace constructors of the kernel classes and constructive
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procedures in the kernel. There are also function objects replacing operators,
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especially for equality testing.
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\ccHasModels
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\ccRefIdfierPage{CGAL::Cartesian<FieldNumberType>} \\
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\ccRefIdfierPage{CGAL::Homogeneous<RingNumberType>} \\
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\ccRefIdfierPage{CGAL::Simple_cartesian<FieldNumberType>} \\
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\ccRefIdfierPage{CGAL::Simple_homogeneous<RingNumberType>} \\
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\ccCreationVariable{kernel}
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\ccTypes
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\ccNestedType{FT}{a model of FieldNumberType}
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\ccGlue
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\ccNestedType{RT}{a model of RingNumberType}
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\ccHeading{Two-dimensional Kernel}
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\ccHeading{Coordinate Access}
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\ccNestedType{Cartesian_const_iterator_2}{a model of Kernel::CartesianConstIterator\_2}
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\ccHeading{Geometric Objects}
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\ccNestedType{Point_2}{a model of Kernel::Point\_2}
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\ccGlue
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\ccNestedType{Vector_2}{a model of Kernel::Vector\_2}
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\ccGlue
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\ccNestedType{Direction_2}{a model of Kernel::Direction\_2}
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\ccGlue
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\ccNestedType{Line_2}{a model of Kernel::Line\_2}
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\ccGlue
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\ccNestedType{Ray_2}{a model of Kernel::Ray\_2}
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\ccGlue
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\ccNestedType{Segment_2}{a model of Kernel::Segment\_2}
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\ccGlue
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\ccNestedType{Triangle_2}{a model of Kernel::Triangle\_2}
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\ccGlue
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\ccNestedType{Iso_rectangle_2}{a model of Kernel::IsoRectangle\_2}
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%%\ccGlue
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%%\ccNestedType{Aff_transformation_2}{}
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\ccGlue
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\ccNestedType{Circle_2}{a model of Kernel::Circle\_2}
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\ccGlue
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%\ccNestedType{Weighted_point_2}{a model of Kernel::WeightedPoint\_2}
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%\ccGlue
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\ccNestedType{Object_2}{a model of Kernel::Object\_2}
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\ccHeading{Constructions}
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\ccNestedType{Construct_point_2}{a model of Kernel::ConstructPoint\_2}
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\ccGlue
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\ccNestedType{Construct_vector_2}{a model of Kernel::ConstructVector\_2}
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\ccGlue
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\ccNestedType{Construct_direction_2}{a model of Kernel::ConstructDirection\_2}
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\ccGlue
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\ccNestedType{Construct_segment_2}{a model of Kernel::ConstructSegment\_2}
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\ccGlue
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\ccNestedType{Construct_line_2}{a model of Kernel::ConstructLine\_2}
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\ccGlue
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\ccNestedType{Construct_ray_2}{a model of Kernel::ConstructRay\_2}
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\ccGlue
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\ccNestedType{Construct_circle_2}{a model of Kernel::ConstructCircle\_2}
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\ccGlue
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\ccNestedType{Construct_triangle_2}{a model of Kernel::ConstructTriangle\_2}
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\ccGlue
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\ccNestedType{Construct_iso_rectangle_2}{a model of Kernel::ConstructIsoRectangle\_2}
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\ccGlue
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\ccNestedType{Construct_object_2}{a model of Kernel::ConstructObject\_2}
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%%\ccGlue
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%%\ccNestedType{Construct_aff_transformation_2}{}
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\ccGlue
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\ccNestedType{Construct_scaled_vector_2}{a model of Kernel::ConstructScaledVector\_2}
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\ccGlue
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\ccNestedType{Construct_translated_point_2}{a model of Kernel::ConstructTranslatedPoint\_2}
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\ccGlue
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\ccNestedType{Construct_point_on_2}{a model of Kernel::ConstructPointOn\_2}
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\ccGlue
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\ccNestedType{Construct_projected_point_2}{a model of Kernel::ConstructProjectedPoint\_2}
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\ccGlue
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\ccNestedType{Construct_projected_xy_point_2}{a model of Kernel::ConstructProjectedXYPoint\_2}
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%%\ccGlue
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%%\ccNestedType{Construct_second_point_on_2}{}
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%%\ccGlue
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%%\ccNestedType{Construct_source_point_2}{}
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%%\ccGlue
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%%\ccNestedType{Construct_target_point_2}{}
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%%\ccGlue
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%%\ccNestedType{Construct_min_point_2}{}
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%%\ccGlue
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%%\ccNestedType{Construct_max_point_2}{}
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\ccGlue
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\ccNestedType{Construct_cartesian_const_iterator_2}{a model of Kernel::ConstructCartesianConstIterator\_2}
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\ccGlue
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\ccNestedType{Construct_vertex_2}{a model of Kernel::ConstructVertex\_2}
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\ccGlue
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\ccNestedType{Construct_bbox_2}{a model of Kernel::ConstructBbox\_2}
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%%\ccGlue
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%%\ccNestedType{Construct_direction_of_line_2}{}
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%%\ccGlue
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%%\ccNestedType{Construct_direction_of_ray_2}{}
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\ccGlue
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\ccNestedType{Construct_perpendicular_vector_2}{a model of Kernel::ConstructPerpendicularVector\_2}
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\ccGlue
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\ccNestedType{Construct_perpendicular_direction_2}{a model of Kernel::ConstructPerpendicularDirection\_2}
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\ccGlue
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\ccNestedType{Construct_perpendicular_line_2}{a model of Kernel::ConstructPerpendicularLine\_2}
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\ccGlue
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\ccNestedType{Construct_max_vertex_2}{a model of Kernel::ConstructMaxVertex\_2}
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\ccGlue
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\ccNestedType{Construct_midpoint_2}{a model of Kernel::ConstructMidpoint\_2}
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\ccGlue
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\ccNestedType{Construct_equi_distant_line_3}{a model of Kernel::ConstructEquiDistantLine\_3}
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\ccGlue
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\ccNestedType{Construct_min_vertex_2}{a model of Kernel::ConstructMinVertex\_2}
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\ccGlue
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\ccNestedType{Construct_center_2}{a model of Kernel::ConstructCenter\_2}
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\ccGlue
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\ccNestedType{Construct_centroid_2}{a model of Kernel::ConstructCentroid\_2}
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\ccGlue
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\ccNestedType{Construct_circumcenter_2}{a model of Kernel::ConstructCircumcenter\_2}
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\ccGlue
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\ccNestedType{Construct_bisector_2}{a model of Kernel::ConstructBisector\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_direction_2}{a model of Kernel::ConstructOppositeDirection\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_segment_2}{a model of Kernel::ConstructOppositeSegment\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_ray_2}{a model of Kernel::ConstructOppositeRay\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_line_2}{a model of Kernel::ConstructOppositeLine\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_triangle_2}{a model of Kernel::ConstructOppositeTriangle\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_circle_2}{a model of Kernel::ConstructOppositeCircle\_2}
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\ccGlue
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\ccNestedType{Construct_opposite_vector_2}{a model of Kernel::ConstructOppositeVector\_2}
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If the result type is not determined, there is no \ccc{Construct_} prefix:
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%%\ccNestedType{Transform_2}{}
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%%\ccGlue
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\ccNestedType{Intersect_2}{a model of Kernel::Intersect\_2}
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\ccGlue
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\ccNestedType{Assign_2}{a model of Kernel::Assign\_2}
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If the result type is a number type, the prefix is \ccc{Compute_}:
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\ccNestedType{Compute_squared_distance_2}{a model of Kernel::ComputeSquaredDistance\_2}
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\ccGlue
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\ccNestedType{Compute_squared_length_2}{a model of Kernel::ComputeSquaredLength\_2}
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\ccGlue
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\ccNestedType{Compute_squared_radius_2}{a model of Kernel::ComputeSquaredRadius\_2}
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\ccGlue
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\ccNestedType{Compute_area_2}{a model of Kernel::ComputeArea\_2}
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\ccHeading{Generalized Predicates}
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\ccNestedType{Angle_2}{a model of Kernel::Angle\_2}
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\ccGlue
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\ccNestedType{Equal_2}{a model of Kernel::Equal\_2}
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\ccGlue
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\ccNestedType{Equal_x_2}{a model of Kernel::EqualX\_2}
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\ccGlue
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\ccNestedType{Equal_y_2}{a model of Kernel::EqualY\_2}
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\ccGlue
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\ccNestedType{Less_x_2}{a model of Kernel::LessX\_2}
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\ccGlue
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\ccNestedType{Less_y_2}{a model of Kernel::LessY\_2}
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\ccGlue
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\ccNestedType{Less_xy_2}{a model of Kernel::LessXY\_2}
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\ccGlue
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\ccNestedType{Less_yx_2}{a model of Kernel::LessYX\_2}
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\ccGlue
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\ccNestedType{Compare_x_2}{a model of Kernel::CompareX\_2}
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\ccGlue
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\ccNestedType{Compare_x_at_y_2}{a model of Kernel::CompareXAtY\_2}
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\ccGlue
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\ccNestedType{Compare_y_2}{a model of Kernel::CompareY\_2}
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\ccGlue
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\ccNestedType{Compare_xy_2}{a model of Kernel::CompareXY\_2}
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\ccGlue
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\ccNestedType{Compare_xy_2}{a model of Kernel::CompareYX\_2}
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\ccGlue
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\ccNestedType{Compare_y_at_x_2}{a model of Kernel::CompareYAtX\_2}
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\ccGlue
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\ccNestedType{Compare_distance_2}{a model of Kernel::CompareDistance\_2}
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\ccGlue
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\ccNestedType{Compare_angle_with_x_axis_2}{a model of Kernel::CompareAngleWithXAxis\_2}
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\ccGlue
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\ccNestedType{Compare_slope_2}{a model of Kernel::CompareSlope\_2}
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\ccGlue
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\ccNestedType{Less_distance_to_point_2}{a model of Kernel::LessDistanceToPoint\_2}
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\ccGlue
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\ccNestedType{Less_signed_distance_to_line_2}{a model of Kernel::LessSignedDistanceToLine\_2}
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\ccGlue
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\ccNestedType{Less_rotate_ccw_2}{a model of Kernel::LessRotateCCW\_2}
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\ccGlue
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\ccNestedType{Left_turn_2}{a model of Kernel::LeftTurn\_2}
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\ccGlue
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\ccNestedType{Collinear_2}{a model of Kernel::Collinear\_2}
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\ccGlue
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\ccNestedType{Orientation_2}{a model of Kernel::Orientation\_2}
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\ccGlue
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\ccNestedType{Side_of_oriented_circle_2}{a model of Kernel::SideOfOrientedCircle\_2}
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\ccGlue
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\ccNestedType{Side_of_bounded_circle_2}{a model of Kernel::SideOfBoundedCircle\_2}
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\ccGlue
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\ccNestedType{Is_horizontal_2}{a model of Kernel::IsHorizontal\_2}
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\ccGlue
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\ccNestedType{Is_vertical_2}{a model of Kernel::IsVertical\_2}
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\ccGlue
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\ccNestedType{Is_degenerate_2}{a model of Kernel::IsDegenerate\_2}
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\ccGlue
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\ccNestedType{Has_on_2}{a model of Kernel::HasOn\_2}
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\ccGlue
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\ccNestedType{Collinear_has_on_2}{a model of Kernel::CollinearHasOn\_2}
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\ccGlue
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\ccNestedType{Has_on_bounded_side_2}{a model of Kernel::HasOnBoundedSide\_2}
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\ccGlue
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\ccNestedType{Has_on_unbounded_side_2}{a model of Kernel::HasOnUnboundedSide\_2}
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\ccGlue
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\ccNestedType{Has_on_boundary_2}{a model of Kernel::HasOnBoundary\_2}
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\ccGlue
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\ccNestedType{Has_on_positive_side_2}{a model of Kernel::HasOnPositiveSide\_2}
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\ccGlue
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\ccNestedType{Has_on_negative_side_2}{a model of Kernel::HasOnNegativeSide\_2}
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\ccGlue
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\ccNestedType{Oriented_side_2}{a model of Kernel::OrientedSide\_2}
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\ccGlue
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\ccNestedType{Bounded_side_2}{a model of Kernel::BoundedSide\_2}
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\ccGlue
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\ccNestedType{Are_parallel_2 }{a model of Kernel::AreParallel\_2}
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\ccGlue
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\ccNestedType{Are_ordered_along_line_2 }{a model of Kernel::AreOrderedAlongLine\_2}
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\ccGlue
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\ccNestedType{Are_strictly_ordered_along_line_2}{a model of Kernel::AreStrictlyOrderedAlongLine\_2}
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\ccGlue
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\ccNestedType{Collinear_are_ordered_along_line_2}{a model of Kernel::CollinearAreOrderedAlongLine\_2}
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\ccGlue
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\ccNestedType{Collinear_are_strictly_ordered_along_line_2}{a model of Kernel::CollinearAreStrictlyOrderedAlongLine\_2}
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\ccGlue
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\ccNestedType{Counterclockwise_in_between_2}{a model of Kernel::CounterclockwiseInBetween\_2}
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\ccGlue
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\ccNestedType{Do_intersect_2}{a model of Kernel::DoIntersect\_2}
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\ccHeading{Three-dimensional Kernel}
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\ccHeading{Coordinate Access}
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\ccNestedType{Cartesian_const_iterator_3}{a model of Kernel::CartesianConstIterator\_3}
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\ccHeading{Geometric Objects}
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\ccNestedType{Point_3}{a model of Kernel::Point\_3}
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\ccGlue
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\ccNestedType{Vector_3}{a model of Kernel::Vector\_3}
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\ccGlue
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\ccNestedType{Direction_3}{a model of Kernel::Direction\_3}
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\ccGlue
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\ccNestedType{Iso_cuboid_3}{a model of Kernel::IsoCuboid\_3}
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\ccGlue
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\ccNestedType{Line_3}{a model of Kernel::Line\_3}
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\ccGlue
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\ccNestedType{Ray_3}{a model of Kernel::Ray\_3}
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\ccGlue
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\ccNestedType{Sphere_3}{a model of Kernel::Sphere\_3}
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\ccGlue
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\ccNestedType{Segment_3}{a model of Kernel::Segment\_3}
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\ccGlue
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\ccNestedType{Plane_3}{a model of Kernel::Plane\_3}
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\ccGlue
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\ccNestedType{Triangle_3}{a model of Kernel::Triangle\_3}
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\ccGlue
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\ccNestedType{Tetrahedron_3}{a model of Kernel::Tetrahedron\_3}
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%\ccGlue
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%\ccNestedType{Weighted_point_3}{a model of Kernel::WeightedPoint\_3}
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%%\ccGlue
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%%\ccNestedType{Aff_transformation_3}{}
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\ccGlue
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\ccNestedType{Object_3}{a model of Kernel::Object\_3}
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\ccHeading{Constructions}
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\ccNestedType{Construct_point_3}{a model of Kernel::ConstructPoint\_3}
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\ccGlue
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\ccNestedType{Construct_vector_3}{a model of Kernel::ConstructVector\_3}
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\ccGlue
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\ccNestedType{Construct_direction_3}{a model of Kernel::ConstructDirection\_3}
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\ccGlue
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\ccNestedType{Construct_plane_3}{a model of Kernel::ConstructPlane\_3}
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\ccGlue
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\ccNestedType{Construct_iso_cuboid_3}{a model of Kernel::ConstructIsoCuboid\_3}
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\ccGlue
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\ccNestedType{Construct_line_3}{a model of Kernel::ConstructLine\_3}
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\ccGlue
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\ccNestedType{Construct_ray_3}{a model of Kernel::ConstructRay\_3}
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\ccGlue
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\ccNestedType{Construct_sphere_3}{a model of Kernel::ConstructSphere\_3}
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\ccGlue
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\ccNestedType{Construct_segment_3}{a model of Kernel::ConstructSegment\_3}
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\ccGlue
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\ccNestedType{Construct_triangle_3}{a model of Kernel::ConstructTriangle\_3}
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\ccGlue
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\ccNestedType{Construct_tetrahedron_3}{a model of Kernel::ConstructTetrahedron\_3}
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\ccGlue
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\ccNestedType{Construct_object_3}{a model of Kernel::ConstructObject\_3}
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%%\ccGlue
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%%\ccNestedType{Construct_aff_transformation_3}{}
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\ccGlue
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\ccNestedType{Construct_scaled_vector_3}{a model of Kernel::ConstructScaledVector\_3}
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\ccGlue
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\ccNestedType{Construct_translated_point_3}{a model of Kernel::ConstructTranslatedPoint\_3}
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\ccGlue
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\ccNestedType{Construct_point_on_3}{a model of Kernel::ConstructPointOn\_3}
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\ccGlue
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\ccNestedType{Construct_projected_point_3}{a model of Kernel::ConstructProjectedPoint\_3}
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\ccGlue
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\ccNestedType{Construct_lifted_point_3}{a model of Kernel::ConstructLiftedPoint\_3}
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%%\ccGlue
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%%\ccNestedType{Construct_second_point_on_3}{}
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%%\ccGlue
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%%\ccNestedType{Construct_source_point_3}{}
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%%\ccGlue
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%%\ccNestedType{Construct_target_point_3}{}
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%%\ccGlue
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%%\ccNestedType{Construct_min_point_3}{}
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%%\ccGlue
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%%\ccNestedType{Construct_max_point_3}{}
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\ccGlue
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\ccNestedType{Construct_cartesian_const_iterator_3}{a model of Kernel::ConstructCartesianConstIterator\_3}
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\ccGlue
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\ccNestedType{Construct_vertex_3}{a model of Kernel::ConstructVertex\_3}
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\ccGlue
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\ccNestedType{Construct_bbox_3}{a model of Kernel::ConstructBbox\_3}
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%%\ccGlue
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%%\ccNestedType{Construct_direction_of_line_3}{}
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%%\ccGlue
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%%\ccNestedType{Construct_direction_of_ray_3}{}
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\ccGlue
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\ccNestedType{Construct_supporting_plane_3}{a model of Kernel::ConstructSupportingPlane\_3}
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\ccGlue
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\ccNestedType{Construct_orthogonal_vector_3}{a model of Kernel::ConstructOrthogonalVector\_3}
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\ccGlue
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\ccNestedType{Construct_base_vector_3}{a model of Kernel::ConstructBaseVector\_3}
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\ccGlue
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\ccNestedType{Construct_perpendicular_plane_3}{a model of Kernel::ConstructPerpendicularPlane\_3}
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\ccGlue
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\ccNestedType{Construct_perpendicular_line_3}{a model of Kernel::ConstructPerpendicularLine\_3}
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\ccGlue
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\ccNestedType{Construct_midpoint_3}{a model of Kernel::ConstructMidpoint\_3}
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\ccGlue
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\ccNestedType{Construct_center_3}{a model of Kernel::ConstructCenter\_3}
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\ccGlue
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\ccNestedType{Construct_centroid_3}{a model of Kernel::ConstructCentroid\_3}
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\ccGlue
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\ccNestedType{Construct_circumcenter_3}{a model of Kernel::ConstructCircumcenter\_3}
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\ccGlue
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\ccNestedType{Construct_bisector_3}{a model of Kernel::ConstructBisector\_3}
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\ccGlue
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\ccNestedType{Construct_cross_product_vector_3}{a model of Kernel::ConstructCrossProductVector\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_direction_3}{a model of Kernel::ConstructOppositeDirection\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_segment_3}{a model of Kernel::ConstructOppositeSegment\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_ray_3}{a model of Kernel::ConstructOppositeRay\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_line_3}{a model of Kernel::ConstructOppositeLine\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_plane_3}{a model of Kernel::ConstructOppositePlane\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_sphere_3}{a model of Kernel::ConstructOppositeSphere\_3}
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\ccGlue
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\ccNestedType{Construct_opposite_vector_3}{a model of Kernel::ConstructOppositeVector\_3}
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If the result type is not determined, there is no \ccc{Construct_} prefix:
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%%\ccNestedType{Transform_3}{}
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%%\ccGlue
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\ccNestedType{Intersect_3}{a model of Kernel::Intersect\_3}
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\ccGlue
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\ccNestedType{Assign_3}{a model of Kernel::Assign\_3}
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If the result type is a number type, the prefix is \ccc{Compute_}:
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\ccNestedType{Compute_area_3}{a model of Kernel::ComputeArea\_3}
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\ccGlue
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\ccNestedType{Compute_squared_area_3}{a model of Kernel::ComputeSquaredArea\_3}
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\ccGlue
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\ccNestedType{Compute_squared_distance_3}{a model of Kernel::ComputeSquaredDistance\_3}
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\ccGlue
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\ccNestedType{Compute_squared_length_3}{a model of Kernel::ComputeSquaredLength\_3}
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\ccGlue
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\ccNestedType{Compute_squared_radius_3}{a model of Kernel::ComputeSquaredRadius\_3}
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\ccGlue
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\ccNestedType{Compute_volume_3}{a model of Kernel::ComputeVolume\_3}
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\ccHeading{Generalized Predicates}
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\ccNestedType{Angle_3}{a model of Kernel::Angle\_3}
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\ccGlue
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\ccNestedType{Equal_3}{a model of Kernel::Equal\_3}
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\ccGlue
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\ccNestedType{Equal_x_3}{a model of Kernel::EqualX\_3}
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\ccGlue
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\ccNestedType{Equal_y_3}{a model of Kernel::EqualY\_3}
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\ccGlue
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\ccNestedType{Equal_z_3}{a model of Kernel::EqualZ\_3}
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\ccGlue
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\ccNestedType{Equal_xy_3}{a model of Kernel::EqualXY\_3}
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\ccGlue
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\ccNestedType{Less_x_3}{a model of Kernel::LessX\_3}
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\ccGlue
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\ccNestedType{Less_y_3}{a model of Kernel::LessY\_3}
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\ccGlue
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\ccNestedType{Less_z_3}{a model of Kernel::LessZ\_3}
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\ccGlue
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\ccNestedType{Less_xy_3}{a model of Kernel::LessXY\_3}
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\ccGlue
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\ccNestedType{Less_xyz_3}{a model of Kernel::LessXYZ\_3}
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\ccGlue
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\ccNestedType{Compare_x_3}{a model of Kernel::CompareX\_3}
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\ccGlue
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\ccNestedType{Compare_y_3}{a model of Kernel::CompareY\_3}
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\ccGlue
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\ccNestedType{Compare_z_3}{a model of Kernel::CompareZ\_3}
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\ccGlue
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\ccNestedType{Compare_xy_3}{a model of Kernel::CompareXY\_3}
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\ccGlue
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\ccNestedType{Compare_xyz_3}{a model of Kernel::CompareXYZ\_3}
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\ccGlue
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\ccNestedType{Less_signed_distance_to_plane_3}{a model of Kernel::LessSignedDistanceToPlane\_3}
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\ccGlue
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\ccNestedType{Less_distance_to_point_3}{a model of Kernel::LessDistanceToPoint\_3}
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\ccGlue
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\ccNestedType{Compare_distance_3}{a model of Kernel::CompareDistance\_3}
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\ccGlue
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|
\ccNestedType{Collinear_3}{a model of Kernel::Collinear\_3}
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\ccGlue
|
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\ccNestedType{Coplanar_3}{a model of Kernel::Coplanar\_3}
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\ccGlue
|
|
\ccNestedType{Orientation_3}{a model of Kernel::Orientation\_3}
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\ccGlue
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\ccNestedType{Coplanar_orientation_3}{a model of Kernel::CoplanarOrientation\_3}
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\ccGlue
|
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\ccNestedType{Coplanar_side_of_bounded_circle_3}{a model of Kernel::CoplanarSideOfBoundedCircle\_3}
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\ccGlue
|
|
\ccNestedType{Side_of_oriented_sphere_3}{a model of Kernel::SideOfOrientedSphere\_3}
|
|
\ccGlue
|
|
\ccNestedType{Side_of_bounded_sphere_3}{a model of Kernel::SideOfBoundedSphere\_3}
|
|
\ccGlue
|
|
\ccNestedType{Is_degenerate_3}{a model of Kernel::IsDegenerate\_3}
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|
\ccGlue
|
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\ccNestedType{Has_on_3}{a model of Kernel::HasOn\_3}
|
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\ccGlue
|
|
\ccNestedType{Has_on_bounded_side_3}{a model of Kernel::HasOnBoundedSide\_3}
|
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\ccGlue
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\ccNestedType{Has_on_unbounded_side_3}{a model of Kernel::HasOnUnboundedSide\_3}
|
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\ccGlue
|
|
\ccNestedType{Has_on_boundary_3}{a model of Kernel::HasOnBoundary\_3}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_positive_side_3}{a model of Kernel::HasOnPositiveSide\_3}
|
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\ccGlue
|
|
\ccNestedType{Has_on_negative_side_3}{a model of Kernel::HasOnNegativeSide\_3}
|
|
\ccGlue
|
|
\ccNestedType{Oriented_side_3}{a model of Kernel::OrientedSide\_3}
|
|
\ccGlue
|
|
\ccNestedType{Bounded_side_3}{a model of Kernel::BoundedSide\_3}
|
|
\ccGlue
|
|
\ccNestedType{Are_parallel_3 }{a model of Kernel::AreParallel\_3}
|
|
\ccGlue
|
|
\ccNestedType{Are_ordered_along_line_3 }{a model of Kernel::AreOrderedAlongLine\_3}
|
|
\ccGlue
|
|
\ccNestedType{Are_strictly_ordered_along_line_3}{a model of Kernel::AreStrictlyOrderedAlongLine\_3}
|
|
\ccGlue
|
|
\ccNestedType{Collinear_are_ordered_along_line_3}{a model of Kernel::CollinearAreOrderedAlongLine\_3}
|
|
\ccGlue
|
|
\ccNestedType{Collinear_are_strictly_ordered_along_line_3}{a model of Kernel::CollinearAreStrictlyOrderedAlongLine\_3}
|
|
\ccGlue
|
|
\ccNestedType{Do_intersect_3}{a model of Kernel::DoIntersect\_3}
|
|
|
|
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|
\ccHeading{d-dimensional Kernel}
|
|
|
|
\ccHeading{Coordinate Access}
|
|
|
|
\ccNestedType{Cartesian_const_iterator_d}{a model of Kernel::CartesianConstIterator\_d}
|
|
|
|
|
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\ccHeading{Geometric Objects}
|
|
|
|
\ccNestedType{Point_d}{a model of Kernel::Point\_d}
|
|
|
|
\ccHeading{Constructions}
|
|
|
|
\ccNestedType{Construct_Point_d}{a model of Kernel::ConstructPoint\_d}
|
|
|
|
\ccOperations
|
|
|
|
For each of the function objects above, there must exist a member function
|
|
that requires no arguments and returns an instance of that function object.
|
|
The name of the member function is the uncapitalized name of the type
|
|
returned with the suffix \ccc{_object} appended. For example, for the
|
|
function object
|
|
\ccc{Kernel::Construct_vector_2} the following member function must exist:
|
|
|
|
\ccTexHtml{\ccSetThreeColumns{Kernel::Are_strictly_ordered_along_line}{}{\hspace
|
|
*{4.5cm}}}{}
|
|
|
|
\setlength{\parskip}{0pt}
|
|
|
|
\ccMemberFunction{Kernel::Construct_vector_2 construct_vector_2_object() const ;}
|
|
{}
|
|
|
|
\def\ccTagRmEigenClassName{\ccTrue}
|
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|
|
\ccSeeAlso
|
|
|
|
\ccc{Kernel_d}
|
|
|
|
\end{ccRefConcept}
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