\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.10 - Linear and Quadratic Programming Solver
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CGAL Namespace Reference

Classes

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...