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CGAL 5.1 - 2D and 3D Linear Geometry Kernel
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CGAL 5.1 - 2D and 3D Linear Geometry Kernel
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#include <Concepts/Kernel.h>
The concept of a 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 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 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.
Naming convention of constructions
All constructions which result type is a geometric object are prefixed by Construct_. If the result type is a number type, the name is prefixed by Compute_. When the result type is not determined, no prefix is used.
CGAL::Cartesian<FieldNumberType>
CGAL::Homogeneous<RingNumberType>
CGAL::Simple_cartesian<FieldNumberType>
CGAL::Simple_homogeneous<RingNumberType>
CGAL::Exact_predicates_exact_constructions_kernel
Kernel::ConstructUnitNormal_3 as no model in the concept
Kernel::CompareSquaredRadius_3 as no model in the concept
Types | |
The following types describe the return types of predicates. They typically map to | |
| typedef unspecified_type | FT |
a model of FieldNumberType More... | |
| typedef unspecified_type | RT |
a model of RingNumberType More... | |
| typedef unspecified_type | Boolean |
bool or Uncertain<bool> More... | |
| typedef unspecified_type | Sign |
CGAL::Sign or Uncertain<CGAL::Sign> More... | |
| typedef unspecified_type | Comparison_result |
CGAL::Comparison_result or Uncertain<CGAL::Comparison_result> More... | |
| typedef unspecified_type | Orientation |
CGAL::Orientation or Uncertain<CGAL::Orientation> More... | |
| typedef unspecified_type | Oriented_side |
CGAL::Oriented_side or Uncertain<CGAL::Oriented_side> More... | |
| typedef unspecified_type | Bounded_side |
CGAL::Bounded_side or Uncertain<CGAL::Bounded_side> More... | |
| typedef unspecified_type | Angle |
CGAL::Angle or Uncertain<CGAL::Angle> More... | |
Constants | |
| static const bool | Has_filtered_predicates |
A Boolean value indicating whether the predicates are filtered (as in CGAL::Filtered_kernel). More... | |
Two-dimensional Coordinate Access | |
| typedef unspecified_type | Cartesian_const_iterator_2 |
a model of Kernel::CartesianConstIterator_2 More... | |
Two-dimensional Geometric Objects | |
| typedef unspecified_type | Point_2 |
a model of Kernel::Point_2 More... | |
| typedef unspecified_type | Weighted_point_2 |
a model of Kernel::WeightedPoint_2 More... | |
| typedef unspecified_type | Vector_2 |
a model of Kernel::Vector_2 More... | |
| typedef unspecified_type | Direction_2 |
a model of Kernel::Direction_2 More... | |
| typedef unspecified_type | Line_2 |
a model of Kernel::Line_2 More... | |
| typedef unspecified_type | Ray_2 |
a model of Kernel::Ray_2 More... | |
| typedef unspecified_type | Segment_2 |
a model of Kernel::Segment_2 More... | |
| typedef unspecified_type | Triangle_2 |
a model of Kernel::Triangle_2 More... | |
| typedef unspecified_type | Iso_rectangle_2 |
a model of Kernel::IsoRectangle_2 More... | |
| typedef unspecified_type | Circle_2 |
a model of Kernel::Circle_2 More... | |
| typedef unspecified_type | Object_2 |
a model of Kernel::Object_2 More... | |
Three-dimensional Coordinate Access | |
| typedef unspecified_type | Cartesian_const_iterator_3 |
a model of Kernel::CartesianConstIterator_3 More... | |
Three-dimensional Geometric Objects | |
| typedef unspecified_type | Point_3 |
a model of Kernel::Point_3 More... | |
| typedef unspecified_type | Weighted_point_3 |
a model of Kernel::WeightedPoint_3 More... | |
| typedef unspecified_type | Vector_3 |
a model of Kernel::Vector_3 More... | |
| typedef unspecified_type | Direction_3 |
a model of Kernel::Direction_3 More... | |
| typedef unspecified_type | Iso_cuboid_3 |
a model of Kernel::IsoCuboid_3 More... | |
| typedef unspecified_type | Line_3 |
a model of Kernel::Line_3 More... | |
| typedef unspecified_type | Ray_3 |
a model of Kernel::Ray_3 More... | |
| typedef unspecified_type | Circle_3 |
a model of Kernel::Circle_3 More... | |
| typedef unspecified_type | Sphere_3 |
a model of Kernel::Sphere_3 More... | |
| typedef unspecified_type | Segment_3 |
a model of Kernel::Segment_3 More... | |
| typedef unspecified_type | Plane_3 |
a model of Kernel::Plane_3 More... | |
| typedef unspecified_type | Triangle_3 |
a model of Kernel::Triangle_3 More... | |
| typedef unspecified_type | Tetrahedron_3 |
a model of Kernel::Tetrahedron_3 More... | |
| typedef unspecified_type | Object_3 |
a model of Kernel::Object_3 More... | |
Operations | |
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 | |
| Kernel::Construct_vector_2 | construct_vector_2_object () const |
| typedef unspecified_type Kernel::Angle |
CGAL::Angle or Uncertain<CGAL::Angle>
| typedef unspecified_type Kernel::Angle_2 |
a model of Kernel::Angle_2
| typedef unspecified_type Kernel::Angle_3 |
a model of Kernel::Angle_3
| typedef unspecified_type Kernel::Are_ordered_along_line_2 |
a model of Kernel::AreOrderedAlongLine_2
| typedef unspecified_type Kernel::Are_ordered_along_line_3 |
a model of Kernel::AreOrderedAlongLine_3
| typedef unspecified_type Kernel::Are_parallel_2 |
a model of Kernel::AreParallel_2
| typedef unspecified_type Kernel::Are_parallel_3 |
a model of Kernel::AreParallel_3
| typedef unspecified_type Kernel::Are_strictly_ordered_along_line_2 |
a model of Kernel::AreStrictlyOrderedAlongLine_2
| typedef unspecified_type Kernel::Are_strictly_ordered_along_line_3 |
a model of Kernel::AreStrictlyOrderedAlongLine_3
| typedef unspecified_type Kernel::Assign_2 |
a model of Kernel::Assign_2
| typedef unspecified_type Kernel::Assign_3 |
a model of Kernel::Assign_3
| typedef unspecified_type Kernel::Boolean |
bool or Uncertain<bool>
| typedef unspecified_type Kernel::Bounded_side |
CGAL::Bounded_side or Uncertain<CGAL::Bounded_side>
| typedef unspecified_type Kernel::Bounded_side_2 |
a model of Kernel::BoundedSide_2
| typedef unspecified_type Kernel::Bounded_side_3 |
a model of Kernel::BoundedSide_3
| typedef unspecified_type Kernel::Cartesian_const_iterator_2 |
a model of Kernel::CartesianConstIterator_2
| typedef unspecified_type Kernel::Cartesian_const_iterator_3 |
a model of Kernel::CartesianConstIterator_3
| typedef unspecified_type Kernel::Circle_2 |
a model of Kernel::Circle_2
| typedef unspecified_type Kernel::Circle_3 |
a model of Kernel::Circle_3
| typedef unspecified_type Kernel::Collinear_2 |
a model of Kernel::Collinear_2
| typedef unspecified_type Kernel::Collinear_3 |
a model of Kernel::Collinear_3
| typedef unspecified_type Kernel::Collinear_are_ordered_along_line_2 |
a model of Kernel::CollinearAreOrderedAlongLine_2
| typedef unspecified_type Kernel::Collinear_are_ordered_along_line_3 |
a model of Kernel::CollinearAreOrderedAlongLine_3
| typedef unspecified_type Kernel::Collinear_are_strictly_ordered_along_line_2 |
| typedef unspecified_type Kernel::Collinear_are_strictly_ordered_along_line_3 |
| typedef unspecified_type Kernel::Collinear_has_on_2 |
a model of Kernel::CollinearHasOn_2
| typedef unspecified_type Kernel::Compare_angle_with_x_axis_2 |
a model of Kernel::CompareAngleWithXAxis_2
| typedef unspecified_type Kernel::Compare_dihedral_angle_3 |
a model of Kernel::CompareDihedralAngle_3
| typedef unspecified_type Kernel::Compare_distance_2 |
a model of Kernel::CompareDistance_2
| typedef unspecified_type Kernel::Compare_distance_3 |
a model of Kernel::CompareDistance_3
| typedef unspecified_type Kernel::Compare_power_distance_2 |
a model of Kernel::ComparePowerDistance_2
| typedef unspecified_type Kernel::Compare_power_distance_3 |
a model of Kernel::ComparePowerDistance_3
| typedef unspecified_type Kernel::Compare_signed_distance_to_line_2 |
a model of Kernel::CompareSignedDistanceToLine_2
| typedef unspecified_type Kernel::Compare_slope_2 |
a model of Kernel::CompareSlope_2
| typedef unspecified_type Kernel::Compare_slope_3 |
a model of Kernel::CompareSlope_3
| typedef unspecified_type Kernel::Compare_square_distance_2 |
a model of Kernel::CompareSquaredDistance_2
| typedef unspecified_type Kernel::Compare_squared_distance_3 |
a model of Kernel::CompareSquaredDistance_3
| typedef unspecified_type Kernel::Compare_weighted_squared_radius_3 |
a model of Kernel::CompareWeightedSquaredRadius_3
| typedef unspecified_type Kernel::Compare_x_2 |
a model of Kernel::CompareX_2
| typedef unspecified_type Kernel::Compare_x_3 |
a model of Kernel::CompareX_3
| typedef unspecified_type Kernel::Compare_x_at_y_2 |
a model of Kernel::CompareXAtY_2
| typedef unspecified_type Kernel::Compare_xy_2 |
a model of Kernel::CompareXY_2
| typedef unspecified_type Kernel::Compare_xy_3 |
a model of Kernel::CompareXY_3
| typedef unspecified_type Kernel::Compare_xyz_3 |
a model of Kernel::CompareXYZ_3
| typedef unspecified_type Kernel::Compare_y_2 |
a model of Kernel::CompareY_2
| typedef unspecified_type Kernel::Compare_y_3 |
a model of Kernel::CompareY_3
| typedef unspecified_type Kernel::Compare_y_at_x_2 |
a model of Kernel::CompareYAtX_2
| typedef unspecified_type Kernel::Compare_yx_2 |
a model of Kernel::CompareYX_2
| typedef unspecified_type Kernel::Compare_z_3 |
a model of Kernel::CompareZ_3
| typedef unspecified_type Kernel::Comparison_result |
CGAL::Comparison_result or Uncertain<CGAL::Comparison_result>
| typedef unspecified_type Kernel::Compute_a_2 |
a model of Kernel::ComputeA_2
| typedef unspecified_type Kernel::Compute_a_3 |
a model of Kernel::ComputeA_3
| typedef unspecified_type Kernel::Compute_approximate_angle_3 |
a model of Kernel::ComputeApproximateAngle_3
| typedef unspecified_type Kernel::Compute_approximate_area_3 |
a model of Kernel::ComputeApproximateArea_3
| typedef unspecified_type Kernel::Compute_approximate_dihedral_angle_3 |
a model of Kernel::ComputeApproximateDihedralAngle_3
| typedef unspecified_type Kernel::Compute_approximate_squared_length_3 |
a model of Kernel::ComputeApproximateSquaredLength_3
| typedef unspecified_type Kernel::Compute_area_2 |
a model of Kernel::ComputeArea_2
| typedef unspecified_type Kernel::Compute_area_3 |
a model of Kernel::ComputeArea_3
| typedef unspecified_type Kernel::Compute_area_divided_by_pi_3 |
a model of Kernel::ComputeAreaDividedByPi_3
| typedef unspecified_type Kernel::Compute_b_2 |
a model of Kernel::ComputeB_2
| typedef unspecified_type Kernel::Compute_b_3 |
a model of Kernel::ComputeB_3
| typedef unspecified_type Kernel::Compute_c_3 |
a model of Kernel::ComputeC_3
| typedef unspecified_type Kernel::Compute_d_3 |
a model of Kernel::ComputeD_3
| typedef unspecified_type Kernel::Compute_determinant_2 |
a model of Kernel::ComputeDeterminant_2
| typedef unspecified_type Kernel::Compute_determinant_3 |
a model of Kernel::ComputeDeterminant_3
| typedef unspecified_type Kernel::Compute_dx_2 |
a model of Kernel::ComputeDx_2
| typedef unspecified_type Kernel::Compute_dx_3 |
a model of Kernel::ComputeDx_3
| typedef unspecified_type Kernel::Compute_dy_2 |
a model of Kernel::ComputeDy_2
| typedef unspecified_type Kernel::Compute_dy_3 |
a model of Kernel::ComputeDy_3
| typedef unspecified_type Kernel::Compute_dz_3 |
a model of Kernel::ComputeDz_3
| typedef unspecified_type Kernel::Compute_hw_2 |
a model of Kernel::ComputeHw_2
| typedef unspecified_type Kernel::Compute_hw_3 |
a model of Kernel::ComputeHw_3
| typedef unspecified_type Kernel::Compute_hx_2 |
a model of Kernel::ComputeHx_2
| typedef unspecified_type Kernel::Compute_hx_3 |
a model of Kernel::ComputeHx_3
| typedef unspecified_type Kernel::Compute_hy_2 |
a model of Kernel::ComputeHy_2
| typedef unspecified_type Kernel::Compute_hy_3 |
a model of Kernel::ComputeHy_3
| typedef unspecified_type Kernel::Compute_hz_3 |
a model of Kernel::ComputeHz_3
| typedef unspecified_type Kernel::Compute_L_infinity_distance_2 |
a model of Kernel::ComputeLInfinityDistance_2
| typedef unspecified_type Kernel::Compute_L_infinity_distance_3 |
a model of Kernel::ComputeLInfinityDistance_3
| typedef unspecified_type Kernel::Compute_power_distance_to_power_sphere_3 |
a model of Kernel::ComputePowerDistanceToPowerSphere_3
| typedef unspecified_type Kernel::Compute_power_product_2 |
a model of Kernel::ComputePowerProduct_2
| typedef unspecified_type Kernel::Compute_power_product_3 |
a model of Kernel::ComputePowerProduct_3
| typedef unspecified_type Kernel::Compute_scalar_product_2 |
a model of Kernel::ComputeScalarProduct_2
| typedef unspecified_type Kernel::Compute_scalar_product_3 |
a model of Kernel::ComputeScalarProduct_3
| typedef unspecified_type Kernel::Compute_squared_area_3 |
a model of Kernel::ComputeSquaredArea_3
| typedef unspecified_type Kernel::Compute_squared_distance_2 |
a model of Kernel::ComputeSquaredDistance_2
| typedef unspecified_type Kernel::Compute_squared_distance_3 |
a model of Kernel::ComputeSquaredDistance_3
| typedef unspecified_type Kernel::Compute_squared_length_2 |
a model of Kernel::ComputeSquaredLength_2
| typedef unspecified_type Kernel::Compute_squared_length_3 |
a model of Kernel::ComputeSquaredLength_3
| typedef unspecified_type Kernel::Compute_squared_length_divided_by_pi_square_3 |
| typedef unspecified_type Kernel::Compute_squared_radius_2 |
a model of Kernel::ComputeSquaredRadius_2
| typedef unspecified_type Kernel::Compute_squared_radius_3 |
a model of Kernel::ComputeSquaredRadius_3
| typedef unspecified_type Kernel::Compute_squared_radius_smallest_orthogonal_circle_2 |
| typedef unspecified_type Kernel::Compute_squared_radius_smallest_orthogonal_sphere_3 |
| typedef unspecified_type Kernel::Compute_volume_3 |
a model of Kernel::ComputeVolume_3
| typedef unspecified_type Kernel::Compute_weight_2 |
a model of Kernel::ComputeWeight_2
| typedef unspecified_type Kernel::Compute_weight_3 |
a model of Kernel::ComputeWeight_3
| typedef unspecified_type Kernel::Compute_x_2 |
a model of Kernel::ComputeX_2
| typedef unspecified_type Kernel::Compute_x_3 |
a model of Kernel::ComputeX_3
| typedef unspecified_type Kernel::Compute_xmax_2 |
a model of Kernel::ComputeXmax_2
| typedef unspecified_type Kernel::Compute_xmax_3 |
a model of Kernel::ComputeXmax_3
| typedef unspecified_type Kernel::Compute_xmin_2 |
a model of Kernel::ComputeXmin_2
| typedef unspecified_type Kernel::Compute_xmin_3 |
a model of Kernel::ComputeXmin_3
| typedef unspecified_type Kernel::Compute_y_2 |
a model of Kernel::ComputeY_2
| typedef unspecified_type Kernel::Compute_y_3 |
a model of Kernel::ComputeY_3
| typedef unspecified_type Kernel::Compute_y_at_x_2 |
a model of Kernel::ComputeYAtX_2
| typedef unspecified_type Kernel::Compute_ymax_2 |
a model of Kernel::ComputeYmax_2
| typedef unspecified_type Kernel::Compute_ymax_3 |
a model of Kernel::ComputeYmax_3
| typedef unspecified_type Kernel::Compute_ymin_2 |
a model of Kernel::ComputeYmin_2
| typedef unspecified_type Kernel::Compute_ymin_3 |
a model of Kernel::ComputeYmin_3
| typedef unspecified_type Kernel::Compute_z_3 |
a model of Kernel::ComputeZ_3
| typedef unspecified_type Kernel::Compute_zmax_3 |
a model of Kernel::ComputeZmax_3
| typedef unspecified_type Kernel::Compute_zmin_3 |
a model of Kernel::ComputeZmin_3
| typedef unspecified_type Kernel::ComputeC_2 |
a model of Kernel::ComputeC_2
| typedef unspecified_type Kernel::Construct_barycenter_2 |
a model of Kernel::ConstructBarycenter_2
| typedef unspecified_type Kernel::Construct_barycenter_3 |
a model of Kernel::ConstructBarycenter_3
| typedef unspecified_type Kernel::Construct_base_vector_3 |
a model of Kernel::ConstructBaseVector_3
| typedef unspecified_type Kernel::Construct_bbox_2 |
a model of Kernel::ConstructBbox_2
| typedef unspecified_type Kernel::Construct_bbox_3 |
a model of Kernel::ConstructBbox_3
| typedef unspecified_type Kernel::Construct_bisector_2 |
a model of Kernel::ConstructBisector_2
| typedef unspecified_type Kernel::Construct_bisector_3 |
a model of Kernel::ConstructBisector_3
| typedef unspecified_type Kernel::Construct_cartesian_const_iterator_2 |
a model of Kernel::ConstructCartesianConstIterator_2
| typedef unspecified_type Kernel::Construct_cartesian_const_iterator_3 |
a model of Kernel::ConstructCartesianConstIterator_3
| typedef unspecified_type Kernel::Construct_center_2 |
a model of Kernel::ConstructCenter_2
| typedef unspecified_type Kernel::Construct_center_3 |
a model of Kernel::ConstructCenter_3
| typedef unspecified_type Kernel::Construct_centroid_2 |
a model of Kernel::ConstructCentroid_2
| typedef unspecified_type Kernel::Construct_centroid_3 |
a model of Kernel::ConstructCentroid_3
| typedef unspecified_type Kernel::Construct_circle_2 |
a model of Kernel::ConstructCircle_2
| typedef unspecified_type Kernel::Construct_circle_3 |
a model of Kernel::ConstructCircle_3
| typedef unspecified_type Kernel::Construct_circumcenter_2 |
a model of Kernel::ConstructCircumcenter_2
| typedef unspecified_type Kernel::Construct_circumcenter_3 |
a model of Kernel::ConstructCircumcenter_3
| typedef unspecified_type Kernel::Construct_cross_product_vector_3 |
a model of Kernel::ConstructCrossProductVector_3
| typedef unspecified_type Kernel::Construct_difference_of_vectors_2 |
a model of Kernel::ConstructDifferenceOfVectors_2
| typedef unspecified_type Kernel::Construct_difference_of_vectors_3 |
a model of Kernel::ConstructDifferenceOfVectors_3
| typedef unspecified_type Kernel::Construct_direction_2 |
a model of Kernel::ConstructDirection_2
| typedef unspecified_type Kernel::Construct_direction_3 |
a model of Kernel::ConstructDirection_3
| typedef unspecified_type Kernel::Construct_divided_vector_2 |
a model of Kernel::ConstructDividedVector_2
| typedef unspecified_type Kernel::Construct_divided_vector_3 |
a model of Kernel::ConstructDividedVector_3
| typedef unspecified_type Kernel::Construct_equidistant_line_3 |
a model of Kernel::ConstructEquidistantLine_3
| typedef unspecified_type Kernel::Construct_iso_cuboid_3 |
a model of Kernel::ConstructIsoCuboid_3
| typedef unspecified_type Kernel::Construct_iso_rectangle_2 |
a model of Kernel::ConstructIsoRectangle_2
| typedef unspecified_type Kernel::Construct_lifted_point_3 |
a model of Kernel::ConstructLiftedPoint_3
| typedef unspecified_type Kernel::Construct_line_2 |
a model of Kernel::ConstructLine_2
| typedef unspecified_type Kernel::Construct_line_3 |
a model of Kernel::ConstructLine_3
| typedef unspecified_type Kernel::Construct_max_vertex_2 |
a model of Kernel::ConstructMaxVertex_2
| typedef unspecified_type Kernel::Construct_max_vertex_3 |
a model of Kernel::ConstructMaxVertex_3
| typedef unspecified_type Kernel::Construct_midpoint_2 |
a model of Kernel::ConstructMidpoint_2
| typedef unspecified_type Kernel::Construct_midpoint_3 |
a model of Kernel::ConstructMidpoint_3
| typedef unspecified_type Kernel::Construct_min_vertex_2 |
a model of Kernel::ConstructMinVertex_2
| typedef unspecified_type Kernel::Construct_min_vertex_3 |
a model of Kernel::ConstructMinVertex_3
| typedef unspecified_type Kernel::Construct_normal_3 |
a model of Kernel::ConstructNormal_3
| typedef unspecified_type Kernel::Construct_object_2 |
a model of Kernel::ConstructObject_2
| typedef unspecified_type Kernel::Construct_object_3 |
a model of Kernel::ConstructObject_3
| typedef unspecified_type Kernel::Construct_opposite_circle_2 |
a model of Kernel::ConstructOppositeCircle_2
| typedef unspecified_type Kernel::Construct_opposite_direction_2 |
a model of Kernel::ConstructOppositeDirection_2
| typedef unspecified_type Kernel::Construct_opposite_direction_3 |
a model of Kernel::ConstructOppositeDirection_3
| typedef unspecified_type Kernel::Construct_opposite_line_2 |
a model of Kernel::ConstructOppositeLine_2
| typedef unspecified_type Kernel::Construct_opposite_line_3 |
a model of Kernel::ConstructOppositeLine_3
| typedef unspecified_type Kernel::Construct_opposite_plane_3 |
a model of Kernel::ConstructOppositePlane_3
| typedef unspecified_type Kernel::Construct_opposite_ray_2 |
a model of Kernel::ConstructOppositeRay_2
| typedef unspecified_type Kernel::Construct_opposite_ray_3 |
a model of Kernel::ConstructOppositeRay_3
| typedef unspecified_type Kernel::Construct_opposite_segment_2 |
a model of Kernel::ConstructOppositeSegment_2
| typedef unspecified_type Kernel::Construct_opposite_segment_3 |
a model of Kernel::ConstructOppositeSegment_3
| typedef unspecified_type Kernel::Construct_opposite_sphere_3 |
a model of Kernel::ConstructOppositeSphere_3
| typedef unspecified_type Kernel::Construct_opposite_triangle_2 |
a model of Kernel::ConstructOppositeTriangle_2
| typedef unspecified_type Kernel::Construct_opposite_vector_2 |
a model of Kernel::ConstructOppositeVector_2
| typedef unspecified_type Kernel::Construct_opposite_vector_3 |
a model of Kernel::ConstructOppositeVector_3
| typedef unspecified_type Kernel::Construct_orthogonal_vector_3 |
a model of Kernel::ConstructOrthogonalVector_3
| typedef unspecified_type Kernel::Construct_perpendicular_direction_2 |
a model of Kernel::ConstructPerpendicularDirection_2
| typedef unspecified_type Kernel::Construct_perpendicular_line_2 |
a model of Kernel::ConstructPerpendicularLine_2
| typedef unspecified_type Kernel::Construct_perpendicular_line_3 |
a model of Kernel::ConstructPerpendicularLine_3
| typedef unspecified_type Kernel::Construct_perpendicular_plane_3 |
a model of Kernel::ConstructPerpendicularPlane_3
| typedef unspecified_type Kernel::Construct_perpendicular_vector_2 |
a model of Kernel::ConstructPerpendicularVector_2
| typedef unspecified_type Kernel::Construct_plane_3 |
a model of Kernel::ConstructPlane_3
| typedef unspecified_type Kernel::Construct_point_2 |
a model of Kernel::ConstructPoint_2
| typedef unspecified_type Kernel::Construct_point_3 |
a model of Kernel::ConstructPoint_3
| typedef unspecified_type Kernel::Construct_point_on_2 |
a model of Kernel::ConstructPointOn_2
| typedef unspecified_type Kernel::Construct_point_on_3 |
a model of Kernel::ConstructPointOn_3
| typedef unspecified_type Kernel::Construct_projected_point_2 |
a model of Kernel::ConstructProjectedPoint_2
| typedef unspecified_type Kernel::Construct_projected_point_3 |
a model of Kernel::ConstructProjectedPoint_3
| typedef unspecified_type Kernel::Construct_projected_xy_point_2 |
a model of Kernel::ConstructProjectedXYPoint_2
| typedef unspecified_type Kernel::Construct_radical_axis_2 |
a model of Kernel::ConstructRadicalAxis_2
| typedef unspecified_type Kernel::Construct_radical_line_2 |
a model of Kernel::ConstructRadicalLine_2
| typedef unspecified_type Kernel::Construct_radical_plane_3 |
a model of Kernel::ConstructRadicalPlane_3
| typedef unspecified_type Kernel::Construct_ray_2 |
a model of Kernel::ConstructRay_2
| typedef unspecified_type Kernel::Construct_ray_3 |
a model of Kernel::ConstructRay_3
| typedef unspecified_type Kernel::Construct_scaled_vector_2 |
a model of Kernel::ConstructScaledVector_2
| typedef unspecified_type Kernel::Construct_scaled_vector_3 |
a model of Kernel::ConstructScaledVector_3
| typedef unspecified_type Kernel::Construct_second_point_2 |
a model of Kernel::ConstructSecondPoint_2
| typedef unspecified_type Kernel::Construct_second_point_3 |
a model of Kernel::ConstructSecondPoint_3
| typedef unspecified_type Kernel::Construct_segment_2 |
a model of Kernel::ConstructSegment_2
| typedef unspecified_type Kernel::Construct_segment_3 |
a model of Kernel::ConstructSegment_3
| typedef unspecified_type Kernel::Construct_source_2 |
a model of Kernel::ConstructSource_2
| typedef unspecified_type Kernel::Construct_source_3 |
a model of Kernel::ConstructSource_3
| typedef unspecified_type Kernel::Construct_sphere_3 |
a model of Kernel::ConstructSphere_3
| typedef unspecified_type Kernel::Construct_sum_of_vectors_2 |
a model of Kernel::ConstructSumOfVectors_2
| typedef unspecified_type Kernel::Construct_sum_of_vectors_3 |
a model of Kernel::ConstructSumOfVectors_3
| typedef unspecified_type Kernel::Construct_supporting_plane_3 |
a model of Kernel::ConstructSupportingPlane_3
| typedef unspecified_type Kernel::Construct_target_2 |
a model of Kernel::ConstructTarget_2
| typedef unspecified_type Kernel::Construct_target_3 |
a model of Kernel::ConstructTarget_3
| typedef unspecified_type Kernel::Construct_tetrahedron_3 |
a model of Kernel::ConstructTetrahedron_3
| typedef unspecified_type Kernel::Construct_translated_point_2 |
a model of Kernel::ConstructTranslatedPoint_2
| typedef unspecified_type Kernel::Construct_translated_point_3 |
a model of Kernel::ConstructTranslatedPoint_3
| typedef unspecified_type Kernel::Construct_triangle_2 |
a model of Kernel::ConstructTriangle_2
| typedef unspecified_type Kernel::Construct_triangle_3 |
a model of Kernel::ConstructTriangle_3
| typedef unspecified_type Kernel::Construct_vector_2 |
a model of Kernel::ConstructVector_2
| typedef unspecified_type Kernel::Construct_vector_3 |
a model of Kernel::ConstructVector_3
| typedef unspecified_type Kernel::Construct_vertex_2 |
a model of Kernel::ConstructVertex_2
| typedef unspecified_type Kernel::Construct_vertex_3 |
a model of Kernel::ConstructVertex_3
| typedef unspecified_type Kernel::Construct_weighted_circumcenter_2 |
a model of Kernel::ConstructWeightedCircumcenter_2
| typedef unspecified_type Kernel::Construct_weighted_circumcenter_3 |
a model of Kernel::ConstructWeightedCircumcenter_3
| typedef unspecified_type Kernel::Construct_weighted_point_2 |
a model of Kernel::ConstructWeightedPoint_2
| typedef unspecified_type Kernel::Construct_weighted_point_3 |
a model of Kernel::ConstructWeightedPoint_3
| typedef unspecified_type Kernel::Coplanar_3 |
a model of Kernel::Coplanar_3
| typedef unspecified_type Kernel::Coplanar_orientation_3 |
a model of Kernel::CoplanarOrientation_3
| typedef unspecified_type Kernel::Coplanar_side_of_bounded_circle_3 |
a model of Kernel::CoplanarSideOfBoundedCircle_3
| typedef unspecified_type Kernel::Counterclockwise_in_between_2 |
a model of Kernel::CounterclockwiseInBetween_2
| typedef unspecified_type Kernel::Direction_2 |
a model of Kernel::Direction_2
| typedef unspecified_type Kernel::Direction_3 |
a model of Kernel::Direction_3
| typedef unspecified_type Kernel::Do_intersect_2 |
a model of Kernel::DoIntersect_2
| typedef unspecified_type Kernel::Do_intersect_3 |
a model of Kernel::DoIntersect_3
| typedef unspecified_type Kernel::Equal_2 |
a model of Kernel::Equal_2
| typedef unspecified_type Kernel::Equal_3 |
a model of Kernel::Equal_3
| typedef unspecified_type Kernel::Equal_x_2 |
a model of Kernel::EqualX_2
| typedef unspecified_type Kernel::Equal_x_3 |
a model of Kernel::EqualX_3
| typedef unspecified_type Kernel::Equal_xy_3 |
a model of Kernel::EqualXY_3
| typedef unspecified_type Kernel::Equal_y_2 |
a model of Kernel::EqualY_2
| typedef unspecified_type Kernel::Equal_y_3 |
a model of Kernel::EqualY_3
| typedef unspecified_type Kernel::Equal_z_3 |
a model of Kernel::EqualZ_3
| typedef unspecified_type Kernel::FT |
a model of FieldNumberType
| typedef unspecified_type Kernel::Has_on_2 |
a model of Kernel::HasOn_2
| typedef unspecified_type Kernel::Has_on_3 |
a model of Kernel::HasOn_3
| typedef unspecified_type Kernel::Has_on_boundary_2 |
a model of Kernel::HasOnBoundary_2
| typedef unspecified_type Kernel::Has_on_boundary_3 |
a model of Kernel::HasOnBoundary_3
| typedef unspecified_type Kernel::Has_on_bounded_side_2 |
a model of Kernel::HasOnBoundedSide_2
| typedef unspecified_type Kernel::Has_on_bounded_side_3 |
a model of Kernel::HasOnBoundedSide_3
| typedef unspecified_type Kernel::Has_on_negative_side_2 |
a model of Kernel::HasOnNegativeSide_2
| typedef unspecified_type Kernel::Has_on_negative_side_3 |
a model of Kernel::HasOnNegativeSide_3
| typedef unspecified_type Kernel::Has_on_positive_side_2 |
a model of Kernel::HasOnPositiveSide_2
| typedef unspecified_type Kernel::Has_on_positive_side_3 |
a model of Kernel::HasOnPositiveSide_3
| typedef unspecified_type Kernel::Has_on_unbounded_side_2 |
a model of Kernel::HasOnUnboundedSide_2
| typedef unspecified_type Kernel::Has_on_unbounded_side_3 |
a model of Kernel::HasOnUnboundedSide_3
| typedef unspecified_type Kernel::Intersect_2 |
a model of Kernel::Intersect_2
| typedef unspecified_type Kernel::Intersect_3 |
a model of Kernel::Intersect_3
| typedef unspecified_type Kernel::Is_degenerate_2 |
a model of Kernel::IsDegenerate_2
| typedef unspecified_type Kernel::Is_degenerate_3 |
a model of Kernel::IsDegenerate_3
| typedef unspecified_type Kernel::Is_horizontal_2 |
a model of Kernel::IsHorizontal_2
| typedef unspecified_type Kernel::Is_vertical_2 |
a model of Kernel::IsVertical_2
| typedef unspecified_type Kernel::Iso_cuboid_3 |
a model of Kernel::IsoCuboid_3
| typedef unspecified_type Kernel::Iso_rectangle_2 |
a model of Kernel::IsoRectangle_2
| typedef unspecified_type Kernel::Left_turn_2 |
a model of Kernel::LeftTurn_2
| typedef unspecified_type Kernel::Less_distance_to_point_2 |
a model of Kernel::LessDistanceToPoint_2
| typedef unspecified_type Kernel::Less_distance_to_point_3 |
a model of Kernel::LessDistanceToPoint_3
| typedef unspecified_type Kernel::Less_rotate_ccw_2 |
a model of Kernel::LessRotateCCW_2
| typedef unspecified_type Kernel::Less_signed_distance_to_line_2 |
a model of Kernel::LessSignedDistanceToLine_2
| typedef unspecified_type Kernel::Less_signed_distance_to_plane_3 |
a model of Kernel::LessSignedDistanceToPlane_3
| typedef unspecified_type Kernel::Less_x_2 |
a model of Kernel::LessX_2
| typedef unspecified_type Kernel::Less_x_3 |
a model of Kernel::LessX_3
| typedef unspecified_type Kernel::Less_xy_2 |
a model of Kernel::LessXY_2
| typedef unspecified_type Kernel::Less_xy_3 |
a model of Kernel::LessXY_3
| typedef unspecified_type Kernel::Less_xyz_3 |
a model of Kernel::LessXYZ_3
| typedef unspecified_type Kernel::Less_y_2 |
a model of Kernel::LessY_2
| typedef unspecified_type Kernel::Less_y_3 |
a model of Kernel::LessY_3
| typedef unspecified_type Kernel::Less_yx_2 |
a model of Kernel::LessYX_2
| typedef unspecified_type Kernel::Less_z_3 |
a model of Kernel::LessZ_3
| typedef unspecified_type Kernel::Line_2 |
a model of Kernel::Line_2
| typedef unspecified_type Kernel::Line_3 |
a model of Kernel::Line_3
| typedef unspecified_type Kernel::Object_2 |
a model of Kernel::Object_2
| typedef unspecified_type Kernel::Object_3 |
a model of Kernel::Object_3
| typedef unspecified_type Kernel::Orientation |
CGAL::Orientation or Uncertain<CGAL::Orientation>
| typedef unspecified_type Kernel::Orientation_2 |
a model of Kernel::Orientation_2
| typedef unspecified_type Kernel::Orientation_3 |
a model of Kernel::Orientation_3
| typedef unspecified_type Kernel::Oriented_side |
CGAL::Oriented_side or Uncertain<CGAL::Oriented_side>
| typedef unspecified_type Kernel::Oriented_side_2 |
a model of Kernel::OrientedSide_2
| typedef unspecified_type Kernel::Oriented_side_3 |
a model of Kernel::OrientedSide_3
| typedef unspecified_type Kernel::Plane_3 |
a model of Kernel::Plane_3
| typedef unspecified_type Kernel::Point_2 |
a model of Kernel::Point_2
| typedef unspecified_type Kernel::Point_3 |
a model of Kernel::Point_3
| typedef unspecified_type Kernel::Power_side_of_bounded_power_circle_2 |
a model of Kernel::PowerSideOfBoundedPowerCircle_2
| typedef unspecified_type Kernel::Power_side_of_bounded_power_sphere_3 |
a model of Kernel::PowerSideOfBoundedPowerSphere_3
| typedef unspecified_type Kernel::Power_side_of_oriented_power_circle_2 |
a model of Kernel::PowerSideOfOrientedPowerCircle_2
| typedef unspecified_type Kernel::Power_side_of_oriented_power_sphere_3 |
a model of Kernel::PowerSideOfOrientedPowerSphere_3
| typedef unspecified_type Kernel::Ray_2 |
a model of Kernel::Ray_2
| typedef unspecified_type Kernel::Ray_3 |
a model of Kernel::Ray_3
| typedef unspecified_type Kernel::RT |
a model of RingNumberType
| typedef unspecified_type Kernel::Segment_2 |
a model of Kernel::Segment_2
| typedef unspecified_type Kernel::Segment_3 |
a model of Kernel::Segment_3
| typedef unspecified_type Kernel::Side_of_bounded_circle_2 |
a model of Kernel::SideOfBoundedCircle_2
| typedef unspecified_type Kernel::Side_of_bounded_sphere_3 |
a model of Kernel::SideOfBoundedSphere_3
| typedef unspecified_type Kernel::Side_of_oriented_circle_2 |
a model of Kernel::SideOfOrientedCircle_2
| typedef unspecified_type Kernel::Side_of_oriented_sphere_3 |
a model of Kernel::SideOfOrientedSphere_3
| typedef unspecified_type Kernel::Sign |
CGAL::Sign or Uncertain<CGAL::Sign>
| typedef unspecified_type Kernel::Sphere_3 |
a model of Kernel::Sphere_3
| typedef unspecified_type Kernel::Tetrahedron_3 |
a model of Kernel::Tetrahedron_3
| typedef unspecified_type Kernel::Triangle_2 |
a model of Kernel::Triangle_2
| typedef unspecified_type Kernel::Triangle_3 |
a model of Kernel::Triangle_3
| typedef unspecified_type Kernel::Vector_2 |
a model of Kernel::Vector_2
| typedef unspecified_type Kernel::Vector_3 |
a model of Kernel::Vector_3
| typedef unspecified_type Kernel::Weighted_point_2 |
a model of Kernel::WeightedPoint_2
| typedef unspecified_type Kernel::Weighted_point_3 |
a model of Kernel::WeightedPoint_3
| Kernel::Construct_vector_2 Kernel::construct_vector_2_object | ( | ) | const |
|
static |
A Boolean value indicating whether the predicates are filtered (as in CGAL::Filtered_kernel).
This helps propagating such decisions to traits classes which are built on top of a kernel, so that they can decide to filter their own predicates or not.
1.8.17