(In)equality for LPs.Class LPRowBase provides constraints for linear programs in the form

\[ l \le a^Tx \le r, \]

where a is a DSVector. l is referred to as left hand side, r as right hand side and a as row vector or the constraint vector. l and r may also take values \(\pm\) infinity. This static member is predefined, but may be overridden to meet the needs of the LP solver to be used. More...

#include <lprowbase.h>

Public Types
Types
enum	Type { LESS_EQUAL, EQUAL, GREATER_EQUAL, RANGE }
	(In)Equality type of an LP row. More...

Public Member Functions
Construction / destruction
	LPRowBase (int defDim=0)
	Constructs LPRowBase with a vector ready to hold `defDim` nonzeros. More...

	LPRowBase (const LPRowBase< R > &row)
	Copy constructor. More...

template<class S >
	LPRowBase (const LPRowBase< S > &row)
	Copy constructor. More...

	LPRowBase (const R &p_lhs, const SVectorBase< R > &p_rowVector, const R &p_rhs, const R &p_obj=0)
	Constructs LPRowBase with the given left-hand side, right-hand side and rowVector. More...

	LPRowBase (const SVectorBase< R > &p_rowVector, Type p_type, const R &p_value, const R &p_obj=0)
	Constructs LPRowBase from passed `rowVector`, `type` and `value`. More...

	~LPRowBase ()
	Destructor. More...

Access / modification
Type	type () const
	Gets type of row. More...

void	setType (Type p_type)
	Sets type of (in)equality. More...

R	value () const
	Right hand side value of (in)equality. More...

R	lhs () const
	Left-hand side value. More...

void	setLhs (const R &p_left)
	Sets left-hand side value. More...

R	rhs () const
	Right-hand side value. More...

void	setRhs (const R &p_right)
	Sets right-hand side value. More...

R	obj () const
	Objective coefficient value. More...

void	setObj (const R &p_obj)
	Sets objective coefficient value. More...

const SVectorBase< R > &	rowVector () const
	Constraint row vector. More...

void	setRowVector (const DSVectorBase< R > &p_vec)
	access constraint row vector. More...

Consistency check
bool	isConsistent () const
	Checks consistency. More...

Private Attributes
Data
R	left
	left-hand side of the constraint More...

R	right
	right-hand side of the constraint More...

R	object
	objective coefficient of corresponding slack variable s = vec times primal More...

DSVectorBase< R >	vec
	the row vector More...

Friends
template<class S >
class	LPRowBase

Detailed Description

template<class R>
class soplex::LPRowBase< R >

(In)equality for LPs.

Class LPRowBase provides constraints for linear programs in the form

\[ l \le a^Tx \le r, \]

where a is a DSVector. l is referred to as left hand side, r as right hand side and a as row vector or the constraint vector. l and r may also take values \(\pm\) infinity. This static member is predefined, but may be overridden to meet the needs of the LP solver to be used.

LPRowBases allow to specify regular inequalities of the form

\[ a^Tx \sim \alpha, \]

where \(\sim\) can take any value of \(\le, =, \ge\), by setting rhs and lhs to the same value or setting one of them to \(\infty\).

Since constraints in the regular form occur often, LPRowBases offers methods type() and value() for retreiving \(\sim\) and \(\alpha\) of an LPRowBase in this form, respectively. Also, a constructor for LPRowBases given in regular form is provided.

Definition at line 45 of file lprowbase.h.