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