(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.