\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11.1 - Linear and Quadratic Programming Solver
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CGAL Namespace Reference

Namespaces

 cpp11
 
 IO
 
 Scale_space_reconstruction_3
 
 Shape_detection_3
 
 Surface_mesh_parameterization
 

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_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
 
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  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  Polytope_distance_d
 
class  Polytope_distance_d_traits_2
 
class  Polytope_distance_d_traits_3
 
class  Polytope_distance_d_traits_d
 
class  Width_3
 
class  Width_default_traits_3
 
class  Approximate_min_ellipsoid_d
 
class  Approximate_min_ellipsoid_d_traits_2
 
class  Approximate_min_ellipsoid_d_traits_3
 
class  Approximate_min_ellipsoid_d_traits_d
 
class  Min_annulus_d
 
class  Min_circle_2
 
class  Min_circle_2_traits_2
 
class  Min_ellipse_2
 
class  Min_ellipse_2_traits_2
 
class  Min_quadrilateral_default_traits_2
 
class  Min_sphere_annulus_d_traits_2
 
class  Min_sphere_annulus_d_traits_3
 
class  Min_sphere_annulus_d_traits_d
 
class  Min_sphere_d
 
class  Min_sphere_of_points_d_traits_2
 
class  Min_sphere_of_points_d_traits_3
 
class  Min_sphere_of_points_d_traits_d
 
class  Min_sphere_of_spheres_d
 
class  Min_sphere_of_spheres_d_traits_2
 
class  Min_sphere_of_spheres_d_traits_3
 
class  Min_sphere_of_spheres_d_traits_d
 
class  Rectangular_p_center_default_traits_2
 
class  Protect_FPU_rounding
 
class  Set_ieee_double_precision
 
class  Gmpfi
 
class  Gmpfr
 
class  Gmpq
 
class  Gmpz
 
class  Gmpzf
 
class  Interval_nt
 
class  Lazy_exact_nt
 
class  MP_Float
 
class  Mpzf
 
class  NT_converter
 
class  Number_type_checker
 
class  Quotient
 
class  Rational_traits
 
class  Root_of_traits
 
class  Sqrt_extension
 
class  Is_valid
 
class  Max
 
class  Min
 
class  Linear_program_from_iterators
 An object of class Linear_program_from_iterators describes a linear program of the form. More...
 
class  Nonnegative_linear_program_from_iterators
 An object of class Nonnegative_linear_program_from_iterators describes a linear program of the form. More...
 
class  Nonnegative_quadratic_program_from_iterators
 An object of class Nonnegative_quadratic_program_from_iterators describes a convex quadratic program of the form. More...
 
class  Quadratic_program_from_iterators
 An object of class Quadratic_program_from_iterators describes a convex quadratic program of the form. More...
 
class  Quadratic_program_from_mps
 An object of class Quadratic_program_from_mps describes a convex quadratic program of the general form. More...
 
class  Quadratic_program
 \( \newcommand{\qprel}{\gtreqless} \newcommand{\qpx}{\mathbf{x}} \newcommand{\qpl}{\mathbf{l}} \newcommand{\qpu}{\mathbf{u}} \newcommand{\qpc}{\mathbf{c}} \newcommand{\qpb}{\mathbf{b}} \newcommand{\qpy}{\mathbf{y}} \newcommand{\qpw}{\mathbf{w}} \newcommand{\qplambda}{\mathbf{\lambda}} \) More...
 
class  Quadratic_program_options
 This is a class used for passing options to the linear and quadratic programming solvers. More...
 
class  Quadratic_program_solution
 An object of class Quadratic_program_solution represents the solution of a linear or convex quadratic program of the general form. More...
 

Enumerations

enum  Quadratic_program_pricing_strategy {
  QP_CHOOSE_DEFAULT, QP_PARTIAL_DANTZIG, QP_DANTZIG, QP_PARTIAL_FILTERED_DANTZIG,
  QP_FILTERED_DANTZIG, QP_BLAND
}
 This is an enumeration type containing the values QP_CHOOSE_DEFAULT, QP_DANTZIG, QP_PARTIAL_DANTZIG, QP_FILTERED_DANTZIG, QP_PARTIAL_FILTERED_DANTZIG, andQP_BLAND. More...
 
enum  Quadratic_program_status { QP_OPTIMAL, QP_INFEASIBLE, QP_UNBOUNDED }
 This is an enumeration type containing the values QP_OPTIMAL, QP_INFEASIBLE, and QP_UNBOUNDED. More...
 

Functions

template<LinearProgram >
void print_linear_program (std::ostream &out, const LinearProgram &lp, const std::string &problem_name=std::string("MY_MPS"))
 This function writes a linear program to an output stream (in MPSFormat). More...
 
template<NonnegativeLinearProgram >
void print_nonnegative_linear_program (std::ostream &out, const NonnegativeLinearProgram &lp, const std::string &problem_name=std::string("MY_MPS"))
 This function writes a nonnegative linear program to an output stream (in MPSFormat). More...
 
template<NonnegativeQuadraticProgram >
void print_nonnegative_quadratic_program (std::ostream &out, const NonnegativeQuadraticProgram &qp, const std::string &problem_name=std::string("MY_MPS"))
 This function writes a nonnegative quadratic program to an output stream (in MPSFormat). More...
 
template<QuadraticProgram >
void print_quadratic_program (std::ostream &out, const QuadraticProgram &qp, const std::string &problem_name=std::string("MY_MPS"))
 This function writes a quadratic program to an output stream (in MPSFormat). More...
 
template<LinearProgram , ET >
Quadratic_program_solution< ET > solve_linear_program (const LinearProgram &lp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 This function solves a linear program, using some exact Integral Domain ET for its computations. More...
 
template<NonnegativeLinearProgram , ET >
Quadratic_program_solution< ET > solve_nonnegative_linear_program (const NonnegativeLinearProgram &lp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 This function solves a nonnegative linear program, using some exact Integral Domain ET for its computations. More...
 
template<NonnegativeQuadraticProgram , ET >
Quadratic_program_solution< ET > solve_nonnegative_quadratic_program (const NonnegativeQuadraticProgram &qp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 This function solves a nonnegative quadratic program, using some exact Integral Domain ET for its computations. More...
 
template<QuadraticProgram , ET >
Quadratic_program_solution< ET > solve_quadratic_program (const QuadraticProgram &qp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 This function solves a quadratic program, using some exact Integral Domain ET for its computations. More...
 
template<typename A_it , typename B_it , typename R_it , typename FL_it , typename L_it , typename FU_it , typename U_it , typename C_it >
Linear_program_from_iterators
< A_it, B_it, R_it, FL_it,
L_it, FU_it, U_it, C_it > 
make_linear_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const FL_it &fl, const L_it &l, const FU_it &fu, const U_it &u, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 This template function creates an instance of Linear_program_from_iterators<A_it, B_it, R_it, FL_it, L_it, FU_it, U_it, C_it> from given iterators. More...
 
template<A_it , B_it , R_it , C_it >
Nonnegative_linear_program_from_iterators
< A_it, B_it, R_it, C_it > 
make_nonnegative_linear_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 This template function creates an instance of Nonnegative_linear_program_from_iterators<A_it, B_it, R_it, C_it> from given iterators. More...
 
template<A_it , B_it , R_it , D_it , C_it >
Nonnegative_quadratic_program_from_iterators
< A_it, B_it, R_it, D_it, C_it > 
make_nonnegative_quadratic_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const D_it &d, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 This template function creates an instance of Nonnegative_quadratic_program_from_iterators<A_it, B_it, R_it, D_it, C_it> from given iterators. More...
 
template<typename A_it , typename B_it , typename R_it , typename FL_it , typename L_it , typename FU_it , typename U_it , typename D_it , typename C_it >
Quadratic_program_from_iterators
< A_it, B_it, R_it, FL_it,
L_it, FU_it, U_it, D_it, C_it > 
make_quadratic_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const FL_it &fl, const L_it &l, const FU_it &fu, const U_it &u, const D_it &d, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 This template function creates an instance of Quadratic_program_from_iterators<A_it, B_it, R_it, FL_it, L_it, FU_it, U_it, D_it, C_it> from given iterators. More...