class for multiplications, $\prod_{i=1}^n f_i(x)$ More...

#include <CouenneExprMul.hpp>

Inheritance diagram for Couenne::exprMul:

Collaboration diagram for Couenne::exprMul:

Public Member Functions
	exprMul (expression **, int)
	Constructor. More...

	exprMul (expression , expression )
	Constructor with two arguments. More...

virtual expression *	clone (Domain *d=NULL) const
	Cloning method. More...

std::string	printOp () const
	Print operator. More...

CouNumber	operator() ()
	Method to evaluate the expression. More...

virtual CouNumber	gradientNorm (const double *x)
	return l-2 norm of gradient at given point More...

expression *	differentiate (int index)
	differentiation More...

expression *	simplify ()
	simplification More...

virtual int	Linearity ()
	get a measure of "how linear" the expression is: More...

virtual void	getBounds (expression &, expression &)
	Get lower and upper bound of an expression (if any) More...

virtual void	getBounds (CouNumber &lb, CouNumber &ub)
	Get value of lower and upper bound of an expression (if any) More...

virtual exprAux *	standardize (CouenneProblem *p, bool addAux=true)
	reduce expression in standard form, creating additional aux variables (and constraints) More...

virtual void	generateCuts (expression w, OsiCuts &cs, const CouenneCutGenerator cg, t_chg_bounds *=NULL, int=-1, CouNumber=-COUENNE_INFINITY, CouNumber=COUENNE_INFINITY)
	generate equality between this and w More...

virtual enum expr_type	code ()
	code for comparison More...

virtual bool	impliedBound (int, CouNumber , CouNumber , t_chg_bounds *, enum Couenne::expression::auxSign=Couenne::expression::AUX_EQ)
	implied bound processing More...

virtual CouNumber	selectBranch (const CouenneObject obj, const OsiBranchingInformation info, expression &var, double &brpts, double *&brDist, int &way)
	set up branching object by evaluating many branching points for each expression's arguments More...

virtual void	closestFeasible (expression varind, expression vardep, CouNumber &left, CouNumber &right) const
	compute $y^{lv}$ and $y^{uv}$ for Violation Transfer algorithm More...

Public Member Functions inherited from Couenne::exprOp
virtual enum nodeType	Type () const
	Node type. More...

	exprOp (expression **arglist, int nargs)
	Constructor. More...

	exprOp (expression arg0, expression arg1)
	Constructor with two arguments (for convenience) More...

virtual	~exprOp ()
	Destructor. More...

	exprOp (const exprOp &e, Domain *d=NULL)
	Copy constructor: only allocate space for argument list, which will be copied with clonearglist() More...

expression **	ArgList () const
	return argument list More...

virtual void	ArgList (expression **al)
	set arglist (used in deleting nodes without deleting children) More...

int	nArgs () const
	return number of arguments More...

virtual void	print (std::ostream &out=std::cout, bool=false) const
	I/O. More...

virtual enum pos	printPos () const
	print position (PRE, INSIDE, POST) More...

virtual int	DepList (std::set< int > &deplist, enum dig_type type=ORIG_ONLY)
	fill in the set with all indices of variables appearing in the expression More...

expression **	clonearglist (Domain *d=NULL) const
	clone argument list (for use with clone method) More...

int	shrink_arglist (CouNumber, CouNumber)
	compress argument list More...

virtual bool	isInteger ()
	is this expression integer? More...

virtual int	compare (exprOp &)
	compare with other generic exprOp More...

virtual int	rank ()
	used in rank-based branching variable choice More...

virtual void	fillDepSet (std::set< DepNode , compNode > dep, DepGraph *g)
	fill in dependence structure update dependence set with index of this variable More...

virtual void	replace (exprVar , exprVar )
	replace variable with other More...

virtual void	realign (const CouenneProblem *p)
	empty function to redirect variables to proper variable vector More...

Public Member Functions inherited from Couenne::expression
	expression ()
	Constructor. More...

	expression (const expression &e, Domain *d=NULL)
	Copy constructor. More...

virtual	~expression ()
	Destructor. More...

virtual int	Index () const
	Return index of variable (only valid for exprVar and exprAux) More...

virtual expression *	Argument () const
	return argument (when applicable, i.e., with univariate functions) More...

virtual expression **	ArgPtr ()
	return pointer to argument (when applicable, i.e., with univariate functions) More...

virtual expression *	Image () const
	return pointer to corresponding expression (for auxiliary variables only) More...

virtual void	Image (expression *image)
	set expression associated with this auxiliary variable (for compatibility with exprAux) More...

virtual CouNumber	Value () const
	value (empty) More...

virtual const expression *	Original () const
	If this is an exprClone of a exprClone of an expr???, point to the original expr??? instead of an exprClone – improve computing efficiency. More...

virtual int	dependsOn (int *ind, int n, enum dig_type type=STOP_AT_AUX)
	dependence on variable set: return cardinality of subset of the set of indices in first argument which occur in expression. More...

int	dependsOn (int singleton, enum dig_type type=STOP_AT_AUX)
	version with one index only More...

virtual bool	isDefinedInteger ()
	is this expression defined as an integer? More...

virtual enum convexity	convexity () const
	either CONVEX, CONCAVE, AFFINE, or NONCONVEX More...

virtual int	compare (expression &)
	compare expressions More...

virtual int	compare (exprCopy &)
	compare copies of expressions More...

virtual int	Multiplicity ()
	multiplicity of a variable More...

virtual void	linkDomain (Domain *d)
	empty function to update domain pointer More...

virtual bool	isBijective () const
	indicating if function is monotonically increasing More...

virtual CouNumber	inverse (expression *vardep) const
	compute the inverse function More...

virtual bool	isaCopy () const
	return true if this is a copy of something (i.e. an exprCopy) More...

virtual expression *	Copy () const
	return copy of this expression (only makes sense in exprCopy) More...

Protected Member Functions
int	impliedBoundMul (CouNumber wl, CouNumber wu, std::vector< CouNumber > &xl, std::vector< CouNumber > &xu, std::vector< std::pair< int, CouNumber > > &nl, std::vector< std::pair< int, CouNumber > > &nu)
	inferring bounds on factors of a product More...

CouNumber	balancedMul (const OsiBranchingInformation *info, int index, int wind)
	balanced strategy for branching point selection in products More...

virtual bool	isCuttable (CouenneProblem *problem, int index) const
	can this expression be further linearized or are we on its concave ("bad") side More...

Additional Inherited Members
Public Types inherited from Couenne::expression
enum	auxSign { AUX_UNDEF =-2, AUX_LEQ =-1, AUX_EQ, AUX_GEQ }
	"sign" of the constraint defining an auxiliary. More...

Protected Attributes inherited from Couenne::exprOp
expression **	arglist_
	argument list is an array of pointers to other expressions More...

int	nargs_
	number of arguments (cardinality of arglist) More...

Detailed Description

class for multiplications, $\prod_{i=1}^n f_i(x)$

Definition at line 24 of file CouenneExprMul.hpp.

Constructor & Destructor Documentation

exprMul::exprMul	(	expression **	al,
		int	n
	)

Constructor.

Constructors, destructor.

Definition at line 28 of file exprMul.cpp.

exprMul::exprMul	(	expression *	arg0,
		expression *	arg1
	)

Constructor with two arguments.

constructor with only two factors

Definition at line 36 of file exprMul.cpp.

Member Function Documentation

virtual expression* Couenne::exprMul::clone ( Domain * d = NULL ) const

inlinevirtual

Cloning method.

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprTrilinear.

Definition at line 35 of file CouenneExprMul.hpp.

std::string Couenne::exprMul::printOp ( ) const

inlinevirtual

Print operator.

Reimplemented from Couenne::exprOp.

Definition at line 39 of file CouenneExprMul.hpp.

CouNumber Couenne::exprMul::operator() ( )

inlinevirtual

Method to evaluate the expression.

compute multiplication

Implements Couenne::expression.

Definition at line 118 of file CouenneExprMul.hpp.

CouNumber exprMul::gradientNorm ( const double * x )

virtual

return l-2 norm of gradient at given point

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprTrilinear, Couenne::exprBinProd, and Couenne::exprMultiLin.

Definition at line 238 of file exprMul.cpp.

expression * exprMul::differentiate ( int index )

virtual

differentiation

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprMultiLin.

Definition at line 147 of file exprMul.cpp.

expression * exprMul::simplify ( )

virtual

simplification

simplify multiplications

Factors are sorted. Find factors that are identical and create power

Reimplemented from Couenne::exprOp.

Reimplemented in Couenne::exprMultiLin.

Definition at line 51 of file exprMul.cpp.

int exprMul::Linearity ( )

virtual

get a measure of "how linear" the expression is:

Reimplemented from Couenne::exprOp.

Reimplemented in Couenne::exprBinProd, and Couenne::exprMultiLin.

Definition at line 184 of file exprMul.cpp.

void exprMul::getBounds	(	expression *&	lb,
		expression *&	ub
	)

virtual

Get lower and upper bound of an expression (if any)

get lower/upper bounds of product f(x) g(x) in expression form

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 28 of file conv-exprMul.cpp.

void exprMul::getBounds	(	CouNumber &	lb,
		CouNumber &	ub
	)

virtual

Get value of lower and upper bound of an expression (if any)

get lower/upper bounds of product f(x) g(x) in expression form

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 88 of file conv-exprMul.cpp.

exprAux * exprMul::standardize	(	CouenneProblem *	p,
		bool	addAux = `true`
	)

virtual

reduce expression in standard form, creating additional aux variables (and constraints)

Create standard formulation of this expression.

Reimplemented from Couenne::exprOp.

Reimplemented in Couenne::exprBinProd, and Couenne::exprMultiLin.

Definition at line 38 of file conv-exprMul-reformulate.cpp.

void exprMul::generateCuts	(	expression *	w,
		OsiCuts &	cs,
		const CouenneCutGenerator *	cg,
		t_chg_bounds *	chg = `NULL`,
		int	wind = `-1`,
		CouNumber	lbw = `-COUENNE_INFINITY`,
		CouNumber	ubw = `COUENNE_INFINITY`
	)

virtual

generate equality between *this and *w

generate convexification cut for constraint w = x*y

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 22 of file conv-exprMul-genCuts.cpp.

virtual enum expr_type Couenne::exprMul::code ( )

inlinevirtual

code for comparison

Reimplemented from Couenne::exprOp.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 75 of file CouenneExprMul.hpp.

bool exprMul::impliedBound	(	int	wind,
		CouNumber *	l,
		CouNumber *	u,
		t_chg_bounds *	chg,
		enum Couenne::expression::auxSign	sign = `Couenne::expression::AUX_EQ`
	)

virtual

implied bound processing

implied bound processing for expression w = x*y, upon change in lower- and/or upper bound of w, whose index is wind

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 28 of file impliedBounds-exprMul.cpp.

CouNumber exprMul::selectBranch	(	const CouenneObject *	obj,
		const OsiBranchingInformation *	info,
		expression *&	var,
		double *&	brpts,
		double *&	brDist,
		int &	way
	)

virtual

set up branching object by evaluating many branching points for each expression's arguments

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 23 of file branchExprMul.cpp.

void exprMul::closestFeasible	(	expression *	varind,
		expression *	vardep,
		CouNumber &	left,
		CouNumber &	right
	)		const

virtual

compute $y^{lv}$ and $y^{uv}$ for Violation Transfer algorithm

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprBinProd, Couenne::exprMultiLin, and Couenne::exprTrilinear.

Definition at line 210 of file exprMul.cpp.

int exprMul::impliedBoundMul	(	CouNumber	wl,
		CouNumber	wu,
		std::vector< CouNumber > &	xl,
		std::vector< CouNumber > &	xu,
		std::vector< std::pair< int, CouNumber > > &	nl,
		std::vector< std::pair< int, CouNumber > > &	nu
	)

protected

inferring bounds on factors of a product

Definition at line 18 of file impliedBounds-mul.cpp.

CouNumber exprMul::balancedMul	(	const OsiBranchingInformation *	info,
		int	index,
		int	wind
	)

protected

balanced strategy for branching point selection in products

Definition at line 178 of file branchExprMul.cpp.

virtual bool Couenne::exprMul::isCuttable	(	CouenneProblem *	problem,
		int	index
	)		const

inlineprotectedvirtual

can this expression be further linearized or are we on its concave ("bad") side

Reimplemented from Couenne::expression.

Reimplemented in Couenne::exprMultiLin, and Couenne::exprBinProd.

Definition at line 112 of file CouenneExprMul.hpp.

The documentation for this class was generated from the following files:

/tmp/OS-2.10.2/Couenne/src/expression/operators/CouenneExprMul.hpp
/tmp/OS-2.10.2/Couenne/src/bound_tightening/operators/impliedBounds-exprMul.cpp
/tmp/OS-2.10.2/Couenne/src/bound_tightening/operators/impliedBounds-mul.cpp
/tmp/OS-2.10.2/Couenne/src/branch/operators/branchExprMul.cpp
/tmp/OS-2.10.2/Couenne/src/convex/operators/conv-exprMul-genCuts.cpp
/tmp/OS-2.10.2/Couenne/src/convex/operators/conv-exprMul-reformulate.cpp
/tmp/OS-2.10.2/Couenne/src/convex/operators/conv-exprMul.cpp
/tmp/OS-2.10.2/Couenne/src/expression/operators/exprMul.cpp

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation