Namespaces
	cpp11

	Scale_space_reconstruction_3

	Shape_detection_3

	Surface_mesh_parameterization

Classes
struct	Construct_array

class	CC_safe_handle

class	Compact_container_base

class	Compact_container

class	Compact_container_traits

class	Compact

class	Fast

class	Concurrent_compact_container_traits

class	Concurrent_compact_container

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	Iterator_range

class	Location_policy

class	Multiset

class	Object

class	Sixtuple

class	Spatial_lock_grid_3

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

struct	value_type_traits

struct	value_type_traits< std::back_insert_iterator< Container > >

struct	value_type_traits< std::insert_iterator< Container > >

struct	value_type_traits< std::front_insert_iterator< Container > >

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	Modular_traits

class	Residue

class	Algebraic_kernel_for_circles_2_2

class	Circular_arc_2

class	Circular_arc_point_2

class	Circular_kernel_2

class	Exact_circular_kernel_2

class	Line_arc_2

class	Polynomial_1_2

class	Polynomial_for_circles_2_2

class	Root_for_circles_2_2

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_kth_root

class	Exact_predicates_exact_constructions_kernel_with_root_of

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	Weighted_point_2

class	Weighted_point_3

class	Protect_FPU_rounding
	The class `Protect_FPU_rounding` allows to reduce the number of rounding mode changes when evaluating sequences of interval arithmetic operations. More...

class	Set_ieee_double_precision
	The class `Set_ieee_double_precision` provides a mechanism to set the correct 53 bits precision for a block of code. More...

class	Gmpfi
	An object of the class `Gmpfi` is a closed interval, with endpoints represented as `Gmpfr` floating-point numbers. More...

class	Gmpfr
	An object of the class `Gmpfr` is a fixed precision floating-point number, based on the Mpfr library. More...

class	Gmpq
	An object of the class `Gmpq` is an arbitrary precision rational number based on the Gmp library. More...

class	Gmpz
	An object of the class `Gmpz` is an arbitrary precision integer based on the Gmp Library. More...

class	Gmpzf
	An object of the class `Gmpzf` is a multiple-precision floating-point number which can represent numbers of the form $m*2^e$ , where $m$ is an arbitrary precision integer based on the library, and $e$ is of type `long`. More...

class	Interval_nt
	The class `Interval_nt` provides an interval arithmetic number type. More...

class	Lazy_exact_nt
	An object of the class `Lazy_exact_nt<NT>` is able to represent any real embeddable number which `NT` is able to represent. More...

class	MP_Float
	An object of the class `MP_Float` is able to represent a floating point value with arbitrary precision. More...

class	Mpzf
	An object of the class `Mpzf` is a multiple-precision floating-point number which can represent numbers of the form $m*2^e$ , where $m$ is an arbitrary precision integer based on the library, and $e$ is of type `int`. More...

class	NT_converter
	A number type converter usable as default, for `Cartesian_converter` and `Homogeneous_converter`. More...

class	Number_type_checker
	`Number_type_checker` is a number type whose instances store two numbers of types `NT1` and `NT2`. More...

class	Quotient
	An object of the class `Quotient<NT>` is an element of the field of quotients of the integral domain type `NT`. More...

class	Rational_traits
	The class `Rational_traits` can be used to determine the type of the numerator and denominator of a rational number type as `Quotient`, `Gmpq`, `mpq_class` or `leda_rational`. More...

class	Root_of_traits
	For a `RealEmbeddable` `IntegralDomain` `RT`, the class template `Root_of_traits<RT>` associates a type `Root_of_2`, which represents algebraic numbers of degree 2 over `RT`. More...

class	Sqrt_extension
	An instance of this class represents an extension of the type `NT` by one square root of the type `ROOT`. More...

class	Is_valid
	Not all values of a type need to be valid. More...

class	Max
	The function object class `Max` returns the larger of two values. More...

class	Min
	The function object class `Min` returns the smaller of two values. More...

Typedefs
typedef Interval_nt< false >	Interval_nt_advanced
	This typedef (at namespace CGAL scope) exists for backward compatibility, as well as removing the need to remember the Boolean value for the template parameter.

typedef unspecified_type	Exact_integer
	`Exact_integer` is an exact integer number type. More...

typedef unspecified_type	Exact_rational
	`Exact_rational` is an exact rational number type, constructible from `double`. More...

Functions
bool	is_finite (double x)
	Determines whether the argument represents a value in $\mathbb{R}$ .

bool	is_finite (float x)
	Determines whether the argument represents a value in $\mathbb{R}$ .

bool	is_finite (long double x)
	Determines whether the argument represents a value in $\mathbb{R}$ .

template<typename RT , typename OutputIterator >
OutputIterator	compute_roots_of_2 (const RT &a, const RT &b, const RT &c, OutputIterator oit)
	The function `compute_roots_of_2()` solves a univariate polynomial as it is defined by the coefficients given to the function. More...

template<typename RT >
Root_of_traits< RT >::Root_of_2	make_root_of_2 (const RT &a, const RT &b, const RT &c, bool s)
	The function `make_root_of_2()` constructs an algebraic number of degree 2 over a ring number type. More...

template<typename RT >
Root_of_traits< RT >::Root_of_2	make_root_of_2 (RT alpha, RT beta, RT gamma)
	The function `make_root_of_2()` constructs an algebraic number of degree 2 over a ring number type. More...

template<typename RT >
Root_of_traits< RT >::Root_of_2	make_sqrt (const RT &x)
	The function `make_sqrt()` constructs a square root of a given value of type $RT$ . More...

template<typename Rational >
Rational	simplest_rational_in_interval (double d1, double d2)
	computes the rational number with the smallest denominator in the interval `[d1,d2]`. More...

template<typename Rational >
Rational	to_rational (double d)
	computes the rational number that equals `d`. More...

template<typename T >
bool	is_valid (const T &x)
	Not all values of a type need to be valid. More...

template<typename T >
T	max (const T &x, const T &y)
	Returns the larger of two values. More...

template<typename T >
T	min (const T &x, const T &y)
	Returns the smaller of two values. More...

Namespaces

Classes

Typedefs

Functions