CGAL Namespace Reference

Namespaces
	cpp11

Classes
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	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_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	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 Gmp 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	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.

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)
	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...