mirror of https://github.com/CGAL/cgal
526 lines
20 KiB
TeX
526 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 \ccc{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 \ccc{Kernel::CartesianConstIterator_2}}
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\ccHeading{Geometric Objects}
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\ccNestedType{Point_2}{a model of \ccc{Kernel::Point_2}}
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\ccGlue
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\ccNestedType{Vector_2}{a model of \ccc{Kernel::Vector_2}}
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\ccGlue
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\ccNestedType{Direction_2}{a model of \ccc{Kernel::Direction_2}}
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\ccGlue
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\ccNestedType{Line_2}{a model of \ccc{Kernel::Line_2}}
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\ccGlue
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\ccNestedType{Ray_2}{a model of \ccc{Kernel::Ray_2}}
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\ccGlue
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\ccNestedType{Segment_2}{a model of \ccc{Kernel::Segment_2}}
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\ccGlue
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\ccNestedType{Triangle_2}{a model of \ccc{Kernel::Triangle_2}}
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\ccGlue
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\ccNestedType{Iso_rectangle_2}{a model of \ccc{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 \ccc{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 \ccc{Kernel::Object_2}}
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\ccHeading{Constructions}
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\ccNestedType{Construct_point_2}{a model of \ccc{Kernel::ConstructPoint_2}}
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\ccGlue
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\ccNestedType{Construct_vector_2}{a model of \ccc{Kernel::ConstructVector_2}}
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\ccGlue
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\ccNestedType{Construct_direction_2}{a model of \ccc{Kernel::ConstructDirection_2}}
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\ccGlue
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\ccNestedType{Construct_segment_2}{a model of \ccc{Kernel::ConstructSegment_2}}
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\ccGlue
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\ccNestedType{Construct_line_2}{a model of \ccc{Kernel::ConstructLine_2}}
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\ccGlue
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\ccNestedType{Construct_ray_2}{a model of \ccc{Kernel::ConstructRay_2}}
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\ccGlue
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\ccNestedType{Construct_circle_2}{a model of \ccc{Kernel::ConstructCircle_2}}
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\ccGlue
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\ccNestedType{Construct_triangle_2}{a model of \ccc{Kernel::ConstructTriangle_2}}
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\ccGlue
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\ccNestedType{Construct_iso_rectangle_2}{a model of \ccc{Kernel::ConstructIsoRectangle_2}}
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\ccGlue
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\ccNestedType{Construct_object_2}{a model of \ccc{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 \ccc{Kernel::ConstructScaledVector_2}}
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\ccGlue
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\ccNestedType{Construct_translated_point_2}{a model of \ccc{Kernel::ConstructTranslatedPoint_2}}
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\ccGlue
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\ccNestedType{Construct_point_on_2}{a model of \ccc{Kernel::ConstructPointOn_2}}
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\ccGlue
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\ccNestedType{Construct_projected_point_2}{a model of \ccc{Kernel::ConstructProjectedPoint_2}}
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\ccGlue
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\ccNestedType{Construct_projected_xy_point_2}{a model of \ccc{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 \ccc{Kernel::ConstructCartesianConstIterator_2}}
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\ccGlue
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\ccNestedType{Construct_vertex_2}{a model of \ccc{Kernel::ConstructVertex_2}}
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\ccGlue
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\ccNestedType{Construct_bbox_2}{a model of \ccc{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 \ccc{Kernel::ConstructPerpendicularVector_2}}
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\ccGlue
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\ccNestedType{Construct_perpendicular_direction_2}{a model of \ccc{Kernel::ConstructPerpendicularDirection_2}}
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\ccGlue
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\ccNestedType{Construct_perpendicular_line_2}{a model of \ccc{Kernel::ConstructPerpendicularLine_2}}
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\ccGlue
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\ccNestedType{Construct_max_vertex_2}{a model of \ccc{Kernel::ConstructMaxVertex_2}}
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\ccGlue
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\ccNestedType{Construct_midpoint_2}{a model of \ccc{Kernel::ConstructMidpoint_2}}
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\ccGlue
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\ccNestedType{Construct_equidistant_line_3}{a model of \ccc{Kernel::ConstructEquidistantLine_3}}
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\ccGlue
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\ccNestedType{Construct_min_vertex_2}{a model of \ccc{Kernel::ConstructMinVertex_2}}
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\ccGlue
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\ccNestedType{Construct_center_2}{a model of \ccc{Kernel::ConstructCenter_2}}
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\ccGlue
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\ccNestedType{Construct_centroid_2}{a model of \ccc{Kernel::ConstructCentroid_2}}
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\ccGlue
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\ccNestedType{Construct_circumcenter_2}{a model of \ccc{Kernel::ConstructCircumcenter_2}}
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\ccGlue
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\ccNestedType{Construct_bisector_2}{a model of \ccc{Kernel::ConstructBisector_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_direction_2}{a model of \ccc{Kernel::ConstructOppositeDirection_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_segment_2}{a model of \ccc{Kernel::ConstructOppositeSegment_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_ray_2}{a model of \ccc{Kernel::ConstructOppositeRay_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_line_2}{a model of \ccc{Kernel::ConstructOppositeLine_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_triangle_2}{a model of \ccc{Kernel::ConstructOppositeTriangle_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_circle_2}{a model of \ccc{Kernel::ConstructOppositeCircle_2}}
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\ccGlue
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\ccNestedType{Construct_opposite_vector_2}{a model of \ccc{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 \ccc{Kernel::Intersect_2}}
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\ccGlue
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\ccNestedType{Assign_2}{a model of \ccc{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 \ccc{Kernel::ComputeSquaredDistance_2}}
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\ccGlue
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\ccNestedType{Compute_squared_length_2}{a model of \ccc{Kernel::ComputeSquaredLength_2}}
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\ccGlue
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\ccNestedType{Compute_squared_radius_2}{a model of \ccc{Kernel::ComputeSquaredRadius_2}}
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\ccGlue
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\ccNestedType{Compute_area_2}{a model of \ccc{Kernel::ComputeArea_2}}
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\ccHeading{Generalized Predicates}
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\ccNestedType{Angle_2}{a model of \ccc{Kernel::Angle_2}}
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\ccGlue
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\ccNestedType{Equal_2}{a model of \ccc{Kernel::Equal_2}}
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\ccGlue
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\ccNestedType{Equal_x_2}{a model of \ccc{Kernel::EqualX_2}}
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\ccGlue
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\ccNestedType{Equal_y_2}{a model of \ccc{Kernel::EqualY_2}}
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\ccGlue
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\ccNestedType{Less_x_2}{a model of \ccc{Kernel::LessX_2}}
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\ccGlue
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\ccNestedType{Less_y_2}{a model of \ccc{Kernel::LessY_2}}
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\ccGlue
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\ccNestedType{Less_xy_2}{a model of \ccc{Kernel::LessXY_2}}
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\ccGlue
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\ccNestedType{Less_yx_2}{a model of \ccc{Kernel::LessYX_2}}
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\ccGlue
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\ccNestedType{Compare_x_2}{a model of \ccc{Kernel::CompareX_2}}
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\ccGlue
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\ccNestedType{Compare_x_at_y_2}{a model of \ccc{Kernel::CompareXAtY_2}}
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\ccGlue
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\ccNestedType{Compare_y_2}{a model of \ccc{Kernel::CompareY_2}}
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\ccGlue
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\ccNestedType{Compare_xy_2}{a model of \ccc{Kernel::CompareXY_2}}
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\ccGlue
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\ccNestedType{Compare_xy_2}{a model of \ccc{Kernel::CompareYX_2}}
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\ccGlue
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\ccNestedType{Compare_y_at_x_2}{a model of \ccc{Kernel::CompareYAtX_2}}
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\ccGlue
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\ccNestedType{Compare_distance_2}{a model of \ccc{Kernel::CompareDistance_2}}
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\ccGlue
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\ccNestedType{Compare_angle_with_x_axis_2}{a model of \ccc{Kernel::CompareAngleWithXAxis_2}}
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\ccGlue
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\ccNestedType{Compare_slope_2}{a model of \ccc{Kernel::CompareSlope_2}}
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\ccGlue
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\ccNestedType{Less_distance_to_point_2}{a model of \ccc{Kernel::LessDistanceToPoint_2}}
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\ccGlue
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\ccNestedType{Less_signed_distance_to_line_2}{a model of \ccc{Kernel::LessSignedDistanceToLine_2}}
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\ccGlue
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\ccNestedType{Less_rotate_ccw_2}{a model of \ccc{Kernel::LessRotateCCW_2}}
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\ccGlue
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\ccNestedType{Left_turn_2}{a model of \ccc{Kernel::LeftTurn_2}}
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\ccGlue
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\ccNestedType{Collinear_2}{a model of \ccc{Kernel::Collinear_2}}
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\ccGlue
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\ccNestedType{Orientation_2}{a model of \ccc{Kernel::Orientation_2}}
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\ccGlue
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\ccNestedType{Side_of_oriented_circle_2}{a model of \ccc{Kernel::SideOfOrientedCircle_2}}
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\ccGlue
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\ccNestedType{Side_of_bounded_circle_2}{a model of \ccc{Kernel::SideOfBoundedCircle_2}}
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\ccGlue
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\ccNestedType{Is_horizontal_2}{a model of \ccc{Kernel::IsHorizontal_2}}
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\ccGlue
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\ccNestedType{Is_vertical_2}{a model of \ccc{Kernel::IsVertical_2}}
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\ccGlue
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\ccNestedType{Is_degenerate_2}{a model of \ccc{Kernel::IsDegenerate_2}}
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\ccGlue
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\ccNestedType{Has_on_2}{a model of \ccc{Kernel::HasOn_2}}
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\ccGlue
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\ccNestedType{Collinear_has_on_2}{a model of \ccc{Kernel::CollinearHasOn_2}}
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\ccGlue
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\ccNestedType{Has_on_bounded_side_2}{a model of \ccc{Kernel::HasOnBoundedSide_2}}
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\ccGlue
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\ccNestedType{Has_on_unbounded_side_2}{a model of \ccc{Kernel::HasOnUnboundedSide_2}}
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\ccGlue
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\ccNestedType{Has_on_boundary_2}{a model of \ccc{Kernel::HasOnBoundary_2}}
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\ccGlue
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\ccNestedType{Has_on_positive_side_2}{a model of \ccc{Kernel::HasOnPositiveSide_2}}
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\ccGlue
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\ccNestedType{Has_on_negative_side_2}{a model of \ccc{Kernel::HasOnNegativeSide_2}}
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\ccGlue
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\ccNestedType{Oriented_side_2}{a model of \ccc{Kernel::OrientedSide_2}}
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\ccGlue
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\ccNestedType{Bounded_side_2}{a model of \ccc{Kernel::BoundedSide_2}}
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\ccGlue
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\ccNestedType{Are_parallel_2 }{a model of \ccc{Kernel::AreParallel_2}}
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\ccGlue
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\ccNestedType{Are_ordered_along_line_2 }{a model of \ccc{Kernel::AreOrderedAlongLine_2}}
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\ccGlue
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\ccNestedType{Are_strictly_ordered_along_line_2}{a model of \ccc{Kernel::AreStrictlyOrderedAlongLine_2}}
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\ccGlue
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\ccNestedType{Collinear_are_ordered_along_line_2}{a model of \ccc{Kernel::CollinearAreOrderedAlongLine_2}}
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\ccGlue
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\ccNestedType{Collinear_are_strictly_ordered_along_line_2}{a model of \ccc{Kernel::CollinearAreStrictlyOrderedAlongLine_2}}
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\ccGlue
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\ccNestedType{Counterclockwise_in_between_2}{a model of \ccc{Kernel::CounterclockwiseInBetween_2}}
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\ccGlue
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\ccNestedType{Do_intersect_2}{a model of \ccc{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 \ccc{Kernel::CartesianConstIterator_3}}
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\ccHeading{Geometric Objects}
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\ccNestedType{Point_3}{a model of \ccc{Kernel::Point_3}}
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\ccGlue
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\ccNestedType{Vector_3}{a model of \ccc{Kernel::Vector_3}}
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\ccGlue
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\ccNestedType{Direction_3}{a model of \ccc{Kernel::Direction_3}}
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\ccGlue
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\ccNestedType{Iso_cuboid_3}{a model of \ccc{Kernel::IsoCuboid_3}}
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\ccGlue
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\ccNestedType{Line_3}{a model of \ccc{Kernel::Line_3}}
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\ccGlue
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\ccNestedType{Ray_3}{a model of \ccc{Kernel::Ray_3}}
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\ccGlue
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\ccNestedType{Sphere_3}{a model of \ccc{Kernel::Sphere_3}}
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\ccGlue
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\ccNestedType{Segment_3}{a model of \ccc{Kernel::Segment_3}}
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\ccGlue
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\ccNestedType{Plane_3}{a model of \ccc{Kernel::Plane_3}}
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\ccGlue
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\ccNestedType{Triangle_3}{a model of \ccc{Kernel::Triangle_3}}
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\ccGlue
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\ccNestedType{Tetrahedron_3}{a model of \ccc{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 \ccc{Kernel::Object_3}}
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\ccHeading{Constructions}
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\ccNestedType{Construct_point_3}{a model of \ccc{Kernel::ConstructPoint_3}}
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\ccGlue
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\ccNestedType{Construct_vector_3}{a model of \ccc{Kernel::ConstructVector_3}}
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\ccGlue
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\ccNestedType{Construct_direction_3}{a model of \ccc{Kernel::ConstructDirection_3}}
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\ccGlue
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\ccNestedType{Construct_plane_3}{a model of \ccc{Kernel::ConstructPlane_3}}
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\ccGlue
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\ccNestedType{Construct_iso_cuboid_3}{a model of \ccc{Kernel::ConstructIsoCuboid_3}}
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\ccGlue
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\ccNestedType{Construct_line_3}{a model of \ccc{Kernel::ConstructLine_3}}
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\ccGlue
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\ccNestedType{Construct_ray_3}{a model of \ccc{Kernel::ConstructRay_3}}
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\ccGlue
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\ccNestedType{Construct_sphere_3}{a model of \ccc{Kernel::ConstructSphere_3}}
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\ccGlue
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\ccNestedType{Construct_segment_3}{a model of \ccc{Kernel::ConstructSegment_3}}
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\ccGlue
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\ccNestedType{Construct_triangle_3}{a model of \ccc{Kernel::ConstructTriangle_3}}
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\ccGlue
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\ccNestedType{Construct_tetrahedron_3}{a model of \ccc{Kernel::ConstructTetrahedron_3}}
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\ccGlue
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\ccNestedType{Construct_object_3}{a model of \ccc{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 \ccc{Kernel::ConstructScaledVector_3}}
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\ccGlue
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\ccNestedType{Construct_translated_point_3}{a model of \ccc{Kernel::ConstructTranslatedPoint_3}}
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\ccGlue
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\ccNestedType{Construct_point_on_3}{a model of \ccc{Kernel::ConstructPointOn_3}}
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\ccGlue
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\ccNestedType{Construct_projected_point_3}{a model of \ccc{Kernel::ConstructProjectedPoint_3}}
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\ccGlue
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\ccNestedType{Construct_lifted_point_3}{a model of \ccc{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 \ccc{Kernel::ConstructCartesianConstIterator_3}}
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\ccGlue
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\ccNestedType{Construct_vertex_3}{a model of \ccc{Kernel::ConstructVertex_3}}
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\ccGlue
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\ccNestedType{Construct_bbox_3}{a model of \ccc{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 \ccc{Kernel::ConstructSupportingPlane_3}}
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\ccGlue
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\ccNestedType{Construct_orthogonal_vector_3}{a model of \ccc{Kernel::ConstructOrthogonalVector_3}}
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\ccGlue
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\ccNestedType{Construct_base_vector_3}{a model of \ccc{Kernel::ConstructBaseVector_3}}
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\ccGlue
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\ccNestedType{Construct_perpendicular_plane_3}{a model of \ccc{Kernel::ConstructPerpendicularPlane_3}}
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\ccGlue
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\ccNestedType{Construct_perpendicular_line_3}{a model of \ccc{Kernel::ConstructPerpendicularLine_3}}
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\ccGlue
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\ccNestedType{Construct_midpoint_3}{a model of \ccc{Kernel::ConstructMidpoint_3}}
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\ccGlue
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\ccNestedType{Construct_center_3}{a model of \ccc{Kernel::ConstructCenter_3}}
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\ccGlue
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\ccNestedType{Construct_centroid_3}{a model of \ccc{Kernel::ConstructCentroid_3}}
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\ccGlue
|
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\ccNestedType{Construct_circumcenter_3}{a model of \ccc{Kernel::ConstructCircumcenter_3}}
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\ccGlue
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\ccNestedType{Construct_bisector_3}{a model of \ccc{Kernel::ConstructBisector_3}}
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\ccGlue
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\ccNestedType{Construct_cross_product_vector_3}{a model of \ccc{Kernel::ConstructCrossProductVector_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_direction_3}{a model of \ccc{Kernel::ConstructOppositeDirection_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_segment_3}{a model of \ccc{Kernel::ConstructOppositeSegment_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_ray_3}{a model of \ccc{Kernel::ConstructOppositeRay_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_line_3}{a model of \ccc{Kernel::ConstructOppositeLine_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_plane_3}{a model of \ccc{Kernel::ConstructOppositePlane_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_sphere_3}{a model of \ccc{Kernel::ConstructOppositeSphere_3}}
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\ccGlue
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\ccNestedType{Construct_opposite_vector_3}{a model of \ccc{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 \ccc{Kernel::Intersect_3}}
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\ccGlue
|
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\ccNestedType{Assign_3}{a model of \ccc{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 \ccc{Kernel::ComputeArea_3}}
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\ccGlue
|
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\ccNestedType{Compute_squared_area_3}{a model of \ccc{Kernel::ComputeSquaredArea_3}}
|
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\ccGlue
|
|
\ccNestedType{Compute_squared_distance_3}{a model of \ccc{Kernel::ComputeSquaredDistance_3}}
|
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\ccGlue
|
|
\ccNestedType{Compute_squared_length_3}{a model of \ccc{Kernel::ComputeSquaredLength_3}}
|
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\ccGlue
|
|
\ccNestedType{Compute_squared_radius_3}{a model of \ccc{Kernel::ComputeSquaredRadius_3}}
|
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\ccGlue
|
|
\ccNestedType{Compute_volume_3}{a model of \ccc{Kernel::ComputeVolume_3}}
|
|
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|
\ccHeading{Generalized Predicates}
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|
|
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\ccNestedType{Angle_3}{a model of \ccc{Kernel::Angle_3}}
|
|
\ccGlue
|
|
\ccNestedType{Equal_3}{a model of \ccc{Kernel::Equal_3}}
|
|
\ccGlue
|
|
\ccNestedType{Equal_x_3}{a model of \ccc{Kernel::EqualX_3}}
|
|
\ccGlue
|
|
\ccNestedType{Equal_y_3}{a model of \ccc{Kernel::EqualY_3}}
|
|
\ccGlue
|
|
\ccNestedType{Equal_z_3}{a model of \ccc{Kernel::EqualZ_3}}
|
|
\ccGlue
|
|
\ccNestedType{Equal_xy_3}{a model of \ccc{Kernel::EqualXY_3}}
|
|
\ccGlue
|
|
\ccNestedType{Less_x_3}{a model of \ccc{Kernel::LessX_3}}
|
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\ccGlue
|
|
\ccNestedType{Less_y_3}{a model of \ccc{Kernel::LessY_3}}
|
|
\ccGlue
|
|
\ccNestedType{Less_z_3}{a model of \ccc{Kernel::LessZ_3}}
|
|
\ccGlue
|
|
\ccNestedType{Less_xy_3}{a model of \ccc{Kernel::LessXY_3}}
|
|
\ccGlue
|
|
\ccNestedType{Less_xyz_3}{a model of \ccc{Kernel::LessXYZ_3}}
|
|
\ccGlue
|
|
\ccNestedType{Compare_x_3}{a model of \ccc{Kernel::CompareX_3}}
|
|
\ccGlue
|
|
\ccNestedType{Compare_y_3}{a model of \ccc{Kernel::CompareY_3}}
|
|
\ccGlue
|
|
\ccNestedType{Compare_z_3}{a model of \ccc{Kernel::CompareZ_3}}
|
|
\ccGlue
|
|
\ccNestedType{Compare_xy_3}{a model of \ccc{Kernel::CompareXY_3}}
|
|
\ccGlue
|
|
\ccNestedType{Compare_xyz_3}{a model of \ccc{Kernel::CompareXYZ_3}}
|
|
\ccGlue
|
|
\ccNestedType{Less_signed_distance_to_plane_3}{a model of \ccc{Kernel::LessSignedDistanceToPlane_3}}
|
|
\ccGlue
|
|
\ccNestedType{Less_distance_to_point_3}{a model of \ccc{Kernel::LessDistanceToPoint_3}}
|
|
\ccGlue
|
|
\ccNestedType{Compare_distance_3}{a model of \ccc{Kernel::CompareDistance_3}}
|
|
\ccGlue
|
|
\ccNestedType{Collinear_3}{a model of \ccc{Kernel::Collinear_3}}
|
|
\ccGlue
|
|
\ccNestedType{Coplanar_3}{a model of \ccc{Kernel::Coplanar_3}}
|
|
\ccGlue
|
|
\ccNestedType{Orientation_3}{a model of \ccc{Kernel::Orientation_3}}
|
|
\ccGlue
|
|
\ccNestedType{Coplanar_orientation_3}{a model of \ccc{Kernel::CoplanarOrientation_3}}
|
|
\ccGlue
|
|
\ccNestedType{Coplanar_side_of_bounded_circle_3}{a model of \ccc{Kernel::CoplanarSideOfBoundedCircle_3}}
|
|
\ccGlue
|
|
\ccNestedType{Side_of_oriented_sphere_3}{a model of \ccc{Kernel::SideOfOrientedSphere_3}}
|
|
\ccGlue
|
|
\ccNestedType{Side_of_bounded_sphere_3}{a model of \ccc{Kernel::SideOfBoundedSphere_3}}
|
|
\ccGlue
|
|
\ccNestedType{Is_degenerate_3}{a model of \ccc{Kernel::IsDegenerate_3}}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_3}{a model of \ccc{Kernel::HasOn_3}}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_bounded_side_3}{a model of \ccc{Kernel::HasOnBoundedSide_3}}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_unbounded_side_3}{a model of \ccc{Kernel::HasOnUnboundedSide_3}}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_boundary_3}{a model of \ccc{Kernel::HasOnBoundary_3}}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_positive_side_3}{a model of \ccc{Kernel::HasOnPositiveSide_3}}
|
|
\ccGlue
|
|
\ccNestedType{Has_on_negative_side_3}{a model of \ccc{Kernel::HasOnNegativeSide_3}}
|
|
\ccGlue
|
|
\ccNestedType{Oriented_side_3}{a model of \ccc{Kernel::OrientedSide_3}}
|
|
\ccGlue
|
|
\ccNestedType{Bounded_side_3}{a model of \ccc{Kernel::BoundedSide_3}}
|
|
\ccGlue
|
|
\ccNestedType{Are_parallel_3 }{a model of \ccc{Kernel::AreParallel_3}}
|
|
\ccGlue
|
|
\ccNestedType{Are_ordered_along_line_3 }{a model of \ccc{Kernel::AreOrderedAlongLine_3}}
|
|
\ccGlue
|
|
\ccNestedType{Are_strictly_ordered_along_line_3}{a model of \ccc{Kernel::AreStrictlyOrderedAlongLine_3}}
|
|
\ccGlue
|
|
\ccNestedType{Collinear_are_ordered_along_line_3}{a model of \ccc{Kernel::CollinearAreOrderedAlongLine_3}}
|
|
\ccGlue
|
|
\ccNestedType{Collinear_are_strictly_ordered_along_line_3}{a model of \ccc{Kernel::CollinearAreStrictlyOrderedAlongLine_3}}
|
|
\ccGlue
|
|
\ccNestedType{Do_intersect_3}{a model of \ccc{Kernel::DoIntersect_3}}
|
|
|
|
\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}
|
|
|
|
\ccSeeAlso
|
|
|
|
\ccc{Kernel_d}
|
|
|
|
\end{ccRefConcept}
|