CGAL Namespace Reference

Namespaces
	cpp11
	IO
	parameters
	Surface_mesher

Classes
class	Aff_transformation_2
class	Aff_transformation_3
class	Identity_transformation
class	Reflection
class	Rotation
class	Scaling
class	Translation
class	Bbox_2
class	Bbox_3
class	Cartesian
class	Cartesian_converter
class	Circle_2
class	Circle_3
class	Ambient_dimension
class	Dimension_tag
class	Dynamic_dimension_tag
class	Feature_dimension
class	Direction_2
class	Direction_3
class	Exact_predicates_exact_constructions_kernel
class	Exact_predicates_exact_constructions_kernel_with_sqrt
class	Exact_predicates_inexact_constructions_kernel
class	Filtered_kernel_adaptor
class	Filtered_kernel
class	Filtered_predicate
class	Homogeneous
class	Homogeneous_converter
class	Iso_cuboid_3
class	Iso_rectangle_2
class	Kernel_traits
class	Line_2
class	Line_3
class	Null_vector
class	Origin
class	Plane_3
class	Point_2
class	Point_3
class	Projection_traits_xy_3
class	Projection_traits_xz_3
class	Projection_traits_yz_3
class	Ray_2
class	Ray_3
class	Segment_2
class	Segment_3
class	Simple_cartesian
class	Simple_homogeneous
class	Sphere_3
class	Tetrahedron_3
class	Triangle_2
class	Triangle_3
class	Vector_2
class	Vector_3
class	Compact_container_base
class	Compact_container
class	Compact_container_traits
class	Compact
class	Fast
class	Default
class	Fourtuple
class	Cast_function_object
class	Compare_to_less
class	Creator_1
class	Creator_2
class	Creator_3
class	Creator_4
class	Creator_5
class	Creator_uniform_2
class	Creator_uniform_3
class	Creator_uniform_4
class	Creator_uniform_5
class	Creator_uniform_6
class	Creator_uniform_7
class	Creator_uniform_8
class	Creator_uniform_9
class	Creator_uniform_d
class	Dereference
class	Get_address
class	Identity
class	Project_facet
class	Project_next
class	Project_next_opposite
class	Project_normal
class	Project_opposite_prev
class	Project_plane
class	Project_point
class	Project_prev
class	Project_vertex
class	In_place_list_base
class	In_place_list
class	Const_oneset_iterator
class	Counting_iterator
class	Dispatch_or_drop_output_iterator
class	Dispatch_output_iterator
class	Emptyset_iterator
class	Filter_iterator
class	Insert_iterator
class	Inverse_index
class	Join_input_iterator_1
class	Join_input_iterator_2
class	Join_input_iterator_3
class	N_step_adaptor
class	Oneset_iterator
class	Random_access_adaptor
class	Random_access_value_adaptor
class	Location_policy
class	Multiset
class	Object
class	Sixtuple
class	Boolean_tag
struct	Null_functor
struct	Sequential_tag
struct	Parallel_tag
class	Null_tag
class	Threetuple
class	Twotuple
class	Uncertain
class	Quadruple
class	Triple
class	Algebraic_structure_traits
class	Euclidean_ring_tag
class	Field_tag
class	Field_with_kth_root_tag
class	Field_with_root_of_tag
class	Field_with_sqrt_tag
class	Integral_domain_tag
class	Integral_domain_without_division_tag
class	Unique_factorization_domain_tag
class	Coercion_traits
class	Fraction_traits
class	Real_embeddable_traits
class	Circulator_from_container
class	Circulator_from_iterator
class	Circulator_traits
class	Container_from_circulator
struct	Circulator_tag
struct	Iterator_tag
struct	Forward_circulator_tag
struct	Bidirectional_circulator_tag
struct	Random_access_circulator_tag
struct	Circulator_base
struct	Forward_circulator_base
struct	Bidirectional_circulator_base
struct	Random_access_circulator_base
class	Forward_circulator_ptrbase
class	Bidirectional_circulator_ptrbase
class	Random_access_circulator_ptrbase
class	Color
class	Input_rep
class	Output_rep
class	Istream_iterator
class	Ostream_iterator
class	Verbose_ostream
class	Gray_level_image_3
class	Implicit_surface_3
class	Manifold_tag
class	Manifold_with_boundary_tag
class	Non_manifold_tag
class	Surface_mesh_cell_base_3
class	Surface_mesh_complex_2_in_triangulation_3
class	Surface_mesh_default_criteria_3
class	Surface_mesh_default_triangulation_3
class	Surface_mesh_traits_generator_3
class	Surface_mesh_vertex_base_3
class	Delaunay_triangulation_3
class	Regular_triangulation_3
class	Regular_triangulation_cell_base_3
class	Regular_triangulation_euclidean_traits_3
class	Regular_triangulation_filtered_traits_3
class	Triangulation_3
class	Triangulation_cell_base_3
class	Triangulation_cell_base_with_circumcenter_3
class	Triangulation_cell_base_with_info_3
class	Triangulation_simplex_3
class	Triangulation_vertex_base_3
class	Triangulation_vertex_base_with_info_3
class	Polyhedron_3
class	Polyhedron_incremental_builder_3
class	Polyhedron_items_3
class	Polyhedron_min_items_3
class	Polyhedron_traits_3
class	Polyhedron_traits_with_normals_3
class	Handle_hash_function
class	Memory_sizer
class	Modifier_base
class	Profile_counter
class	Real_timer
class	Timer
class	Union_find
class	Unique_hash_map
class	Compact_mesh_cell_base_3
	The class Compact_mesh_cell_base_3 is a model of the concept MeshCellBase_3. More...
class	Implicit_mesh_domain_3
	The class Implicit_mesh_domain_3 implements a domain whose bounding surface is described implicitly as the zero level set of a function. More...
class	Labeled_image_mesh_domain_3
	The class Labeled_image_mesh_domain_3 implements a domain described by a 3D labeled image. More...
class	Mesh_cell_base_3
class	Mesh_cell_criteria_3
	The class Mesh_cell_criteria_3 is a model of MeshCellCriteria_3. More...
class	Mesh_complex_3_in_triangulation_3
	The class Mesh_complex_3_in_triangulation_3 implements a data structure to store the 3D restricted Delaunay triangulation used by a mesh generation process. More...
class	Mesh_constant_domain_field_3
	The class Mesh_constant_domain_field_3 is a model of concept MeshDomainField_3. More...
class	Mesh_criteria_3
	The class Mesh_criteria_3 is a model of both concepts MeshCriteria_3 and MeshCriteriaWithFeatures_3. More...
class	Mesh_domain_with_polyline_features_3
	The class Mesh_domain_with_polyline_features_3 is designed to allow the user to add some 0- and 1-dimensional features into any model of the MeshDomain_3 concept. More...
class	Mesh_edge_criteria_3
	The function object class Mesh_edge_criteria_3 is a model of MeshEdgeCriteria_3. More...
class	Mesh_facet_criteria_3
	The class Mesh_facet_criteria_3 is a model of MeshFacetCriteria_3. More...
class	Mesh_polyhedron_3
	The class Mesh_polyhedron_3 provides a customized Polyhedron_3 type. More...
class	Mesh_triangulation_3
	The class Mesh_triangulation_3 is a metafunctor which provides the triangulation type to be used for the 3D triangulation embedding the mesh. More...
class	Mesh_vertex_base_3
	The class Mesh_vertex_base_3 is a model of the concept MeshVertexBase_3. More...
class	Polyhedral_mesh_domain_3
	The class Polyhedral_mesh_domain_3 implements a domain defined by a simplicial polyhedral surface. More...
class	Polyhedral_mesh_domain_with_features_3
	The class Polyhedral_mesh_domain_with_features_3 implements a domain whose boundary is a simplicial polyhedral surface. More...
class	Triangle_accessor_3
	The class Triangle_accessor_3 is a model for the concept TriangleAccessor_3. More...

Typedefs
typedef Interval_nt< false >	Interval_nt_advanced
typedef Interval_nt< false >	Interval_nt_advanced
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy
typedef Interval_nt< false >	Interval_nt_advanced
typedef Interval_nt< false >	Interval_nt_advanced
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy
typedef Interval_nt< false >	Interval_nt_advanced
typedef Interval_nt< false >	Interval_nt_advanced
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy
typedef Interval_nt< false >	Interval_nt_advanced
typedef Hilbert_policy< Median >	Hilbert_sort_median_policy
typedef Hilbert_policy< Middle >	Hilbert_sort_middle_policy

Enumerations
enum	Mesh_facet_topology { FACET_VERTICES_ON_SURFACE = 1, FACET_VERTICES_ON_SAME_SURFACE_PATCH, FACET_VERTICES_ON_SAME_SURFACE_PATCH_WITH_ADJACENCY_CHECK }
	The enum Mesh_facet_topology is designed to tell which constraints have to be checked on each surface facet during the mesh refinement process. More...
enum	Mesh_optimization_return_code {   BOUND_REACHED = 0, TIME_LIMIT_REACHED, CANT_IMPROVE_ANYMORE, CONVERGENCE_REACHED,   MAX_ITERATION_NUMBER_REACHED, ALL_VERTICES_FROZEN }
	The enum Mesh_optimization_return_code is the output of the global mesh optimization functions. More...

Functions
NT	abs (const NT &x)
result_type	compare (const NT &x, const NT &y)
result_type	div (const NT1 &x, const NT2 &y)
void	div_mod (const NT1 &x, const NT2 &y, result_type &q, result_type &r)
result_type	gcd (const NT1 &x, const NT2 &y)
result_type	integral_division (const NT1 &x, const NT2 &y)
NT	inverse (const NT &x)
result_type	is_negative (const NT &x)
result_type	is_one (const NT &x)
result_type	is_positive (const NT &x)
result_type	is_square (const NT &x)
result_type	is_square (const NT &x, NT &y)
result_type	is_zero (const NT &x)
NT	kth_root (int k, const NT &x)
result_type	mod (const NT1 &x, const NT2 &y)
NT	root_of (int k, InputIterator begin, InputIterator end)
result_type	sign (const NT &x)
void	simplify (const NT &x)
NT	sqrt (const NT &x)
NT	square (const NT &x)
double	to_double (const NT &x)
std::pair< double, double >	to_interval (const NT &x)
NT	unit_part (const NT &x)
void	Assert_circulator (const C &c)
void	Assert_iterator (const I &i)
void	Assert_circulator_or_iterator (const IC &i)
void	Assert_input_category (const I &i)
void	Assert_output_category (const I &i)
void	Assert_forward_category (const IC &ic)
void	Assert_bidirectional_category (const IC &ic)
void	Assert_random_access_category (const IC &ic)
C::difference_type	circulator_distance (C c, C d)
C::size_type	circulator_size (C c)
bool	is_empty_range (const IC &i, const IC &j)
iterator_traits< IC > ::difference_type	iterator_distance (IC ic1, IC ic2)
Iterator_tag	query_circulator_or_iterator (const I &i)
Circulator_tag	query_circulator_or_iterator (const C &c)
Mode	get_mode (std::ios &s)
Mode	set_ascii_mode (std::ios &s)
Mode	set_binary_mode (std::ios &s)
Mode	set_mode (std::ios &s, IO::Mode m)
Mode	set_pretty_mode (std::ios &s)
bool	is_ascii (std::ios &s)
bool	is_binary (std::ios &s)
bool	is_pretty (std::ios &s)
Output_rep< T >	oformat (const T &t)
Input_rep< T >	iformat (const T &t)
Output_rep< T, F >	oformat (const T &t, F)
ostream &	operator<< (ostream &os, Class c)
istream &	operator>> (istream &is, Class c)
bool	has_in_x_range (const Circular_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
bool	has_in_x_range (const Line_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
bool	has_on (const Circle_2< CircularKernel > &c, const Circular_arc_point_2< CircularKernel > &p)
OutputIterator	make_x_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
OutputIterator	make_xy_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
Circular_arc_point_2 < CircularKernel >	x_extremal_point (const Circle_2< CircularKernel > &c, bool b)
OutputIterator	x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
Circular_arc_point_2 < CircularKernel >	y_extremal_point (const Circle_2< CircularKernel > &c, bool b)
OutputIterator	y_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
CGAL::Comparison_result	compare_y_to_right (const Circular_arc_2< CircularKernel > &ca1, const Circular_arc_2< CircularKernel > &ca2, Circular_arc_point_2< CircularKernel > &p)
bool	is_finite (double x)
bool	is_finite (float x)
bool	is_finite (long double x)
OutputIterator	compute_roots_of_2 (const RT &a, const RT &b, const RT &c, OutputIterator oit)
Root_of_traits< RT >::Root_of_2	make_root_of_2 (const RT &a, const RT &b, const RT &c, bool s)
Root_of_traits< RT >::Root_of_2	make_root_of_2 (RT alpha, RT beta, RT gamma)
Root_of_traits< RT >::Root_of_2	make_sqrt (const RT &x)
Rational	simplest_rational_in_interval (double d1, double d2)
Rational	to_rational (double d)
bool	is_valid (const T &x)
T	max (const T &x, const T &y)
T	min (const T &x, const T &y)
void	hilbert_sort (RandomAccessIterator begin, RandomAccessIterator end, const Traits &traits=Default_traits, PolicyTag policy=Default_policy)
void	spatial_sort (RandomAccessIterator begin, RandomAccessIterator end, const Traits &traits=Default_traits, PolicyTag policy=Default_policy, std::ptrdiff_t threshold_hilbert=default, std::ptrdiff_t threshold_multiscale=default, double ratio=default)
bool	output_surface_facets_to_off (std::ostream &os, const SurfaceMeshComplex_2InTriangulation_3 &c2t3, int options=Surface_mesher::IO_ORIENT_SURFACE)
bool	output_surface_facets_to_polyhedron (const SurfaceMeshComplex_2InTriangulation_3 &c2t3, Polyhedron &output_polyhedron)
void	make_surface_mesh (SurfaceMeshC2T3 &c2t3, Surface surface, FacetsCriteria criteria, Tag tag, int initial_number_of_points=20)
void	make_surface_mesh (SurfaceMeshC2T3 &c2t3, SurfaceMeshTraits::Surface_3 surface, SurfaceMeshTraits traits, FacetsCriteria criteria, Tag tag, int initial_number_of_points=20)
template<typename C3T3 >
Mesh_optimization_return_code	exude_mesh_3 (C3T3 &c3t3, double parameters::time_limit=0, double parameters::sliver_bound=0)
	The function exude_mesh_3() performs a sliver exudation process on a Delaunay mesh. More...
template<typename C3T3 , typename MeshDomain_3 >
Mesh_optimization_return_code	lloyd_optimize_mesh_3 (C3T3 &c3t3, MeshDomain_3 domain, double parameters::time_limit=0, std::size_t parameters::max_iteration_number=0, double parameters::convergence=0.02, double parameters::freeze_bound=0.01, bool parameters::do_freeze=true)
	The function lloyd_optimize_mesh_3() is a mesh optimization process based on the minimization of a global energy function. More...
template<class C3T3 , class MeshDomain_3 , class MeshCriteria >
C3T3	make_mesh_3 (MeshDomain_3 domain, MeshCriteria criteria, parameters::internal::Features_options features=parameters::features(domain), parameters::internal::Lloyd_options lloyd=parameters::no_lloyd(), parameters::internal::Odt_options odt=parameters::no_odt(), parameters::internal::Perturb_options perturb=parameters::perturb(), parameters::internal::Exude_options exude=parameters::exude())
	The function make_mesh_3() is a 3D mesh generator. More...
template<typename C3T3 , typename MeshDomain_3 >
Mesh_optimization_return_code	odt_optimize_mesh_3 (C3T3 &c3t3, MeshDomain_3 domain, double parameters::time_limit=0, std::size_t parameters::max_iteration_number=0, double parameters::convergence=0.02, double parameters::freeze_bound=0.01, bool parameters::do_freeze=true)
	The function odt_optimize_mesh_3() is a mesh optimization process based on the minimization of a global energy function. More...
template<typename C3T3 , typename MeshDomain_3 >
Mesh_optimization_return_code	perturb_mesh_3 (C3T3 &c3t3, MeshDomain_3 domain, double parameters::time_limit=0, double parameters::sliver_bound=0)
	The function perturb_mesh_3() is a mesh optimizer that improves the quality of a Delaunay mesh by changing the mesh vertices positions. More...
template<class C3T3 , class MeshDomain_3 , class MeshCriteria >
void	refine_mesh_3 (C3T3 &c3t3, MeshDomain_3 mesh_domain, MeshCriteria mesh_criteria, parameters::internal::Lloyd_options lloyd=parameters::no_lloyd(), parameters::internal::Odt_options odt=parameters::no_odt(), parameters::internal::Perturb_options perturb=parameters::perturb(), parameters::internal::Exude_options exude=parameters::exude())
	The function refine_mesh_3() is a 3D mesh generator. More...