Couenne 0.5.8
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Public Member Functions | List of all members
Couenne::exprCos Class Reference

class cosine, $ \cos f(x) $ More...

#include <CouenneExprCos.hpp>

+ Inheritance diagram for Couenne::exprCos:
+ Collaboration diagram for Couenne::exprCos:

Public Member Functions

 exprCos (expression *al)
 constructor, destructor
 
expressionclone (Domain *d=NULL) const
 cloning method
 
unary_function F ()
 the operator itself (e.g. sin, log...)
 
std::string printOp () const
 print operator
 
CouNumber gradientNorm (const double *x)
 return l-2 norm of gradient at given point
 
expressiondifferentiate (int index)
 obtain derivative of expression
 
void getBounds (expression *&, expression *&)
 Get lower and upper bound of an expression (if any)
 
void getBounds (CouNumber &lb, CouNumber &ub)
 Get value of lower and upper bound of an expression.
 
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
 
virtual enum expr_type code ()
 code for comparisons
 
bool impliedBound (int index, CouNumber *l, CouNumber *u, t_chg_bounds *chg, enum auxSign=expression::AUX_EQ)
 implied bound processing
 
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.
 
virtual void closestFeasible (expression *varind, expression *vardep, CouNumber &left, CouNumber &right) const
 closest feasible points in function in both directions
 
virtual bool isCuttable (CouenneProblem *problem, int index) const
 can this expression be further linearized or are we on its concave ("bad") side
 
- Public Member Functions inherited from Couenne::exprUnary
virtual enum nodeType Type () const
 node type
 
 exprUnary (expression *argument)
 Constructor.
 
virtual unary_function F ()
 the operator itself (e.g. sin, log...)
 
virtual ~exprUnary ()
 Destructor.
 
int nArgs () const
 return number of arguments
 
virtual expressionArgument () const
 return argument
 
virtual expression ** ArgPtr ()
 return pointer to argument
 
virtual void print (std::ostream &out=std::cout, bool=false) const
 print this expression to iostream
 
virtual enum pos printPos () const
 print position (PRE, INSIDE, POST)
 
virtual std::string printOp () const
 print operator
 
virtual CouNumber operator() ()
 compute value of unary operator
 
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
 
expressionsimplify ()
 simplification
 
virtual int Linearity ()
 get a measure of "how linear" the expression is (see CouenneTypes.h) for general univariate functions, return nonlinear.
 
virtual exprAuxstandardize (CouenneProblem *, bool addAux=true)
 reduce expression in standard form, creating additional aux variables (and constraints)
 
virtual enum expr_type code ()
 type of operator
 
virtual bool isInteger ()
 is this expression integer?
 
virtual int compare (exprUnary &)
 compare two unary functions
 
virtual int rank ()
 used in rank-based branching variable choice
 
virtual void fillDepSet (std::set< DepNode *, compNode > *dep, DepGraph *g)
 fill in dependence structure
 
virtual void replace (exprVar *, exprVar *)
 replace variable with other
 
virtual void realign (const CouenneProblem *p)
 empty function to redirect variables to proper variable vector
 
- Public Member Functions inherited from Couenne::expression
 expression ()
 Constructor.
 
 expression (const expression &e, Domain *d=NULL)
 Copy constructor.
 
virtual ~expression ()
 Destructor.
 
virtual expressionclone (Domain *d=NULL) const
 Cloning method.
 
virtual int Index () const
 Return index of variable (only valid for exprVar and exprAux)
 
virtual int nArgs () const
 return number of arguments (when applicable, that is, with N-ary functions)
 
virtual expression ** ArgList () const
 return arglist (when applicable, that is, with N-ary functions)
 
virtual void ArgList (expression **al)
 set arglist (used in deleting nodes without deleting children)
 
virtual expressionArgument () const
 return argument (when applicable, i.e., with univariate functions)
 
virtual expression ** ArgPtr ()
 return pointer to argument (when applicable, i.e., with univariate functions)
 
virtual enum nodeType Type () const
 node type
 
virtual expressionImage () const
 return pointer to corresponding expression (for auxiliary variables only)
 
virtual void Image (expression *image)
 set expression associated with this auxiliary variable (for compatibility with exprAux)
 
virtual CouNumber Value () const
 value (empty)
 
virtual const expressionOriginal () const
 If this is an exprClone of a exprClone of an expr???, point to the original expr??? instead of an exprClone – improve computing efficiency.
 
virtual void print (std::ostream &s=std::cout, bool=false) const
 print expression to iostream
 
virtual CouNumber operator() ()=0
 null function for evaluating the expression
 
virtual CouNumber gradientNorm (const double *x)
 return l-2 norm of gradient at given point
 
virtual expressiondifferentiate (int)
 differentiation
 
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.
 
int dependsOn (int singleton, enum dig_type type=STOP_AT_AUX)
 version with one index only
 
virtual int DepList (std::set< int > &deplist, enum dig_type type=ORIG_ONLY)
 fill std::set with indices of variables on which this expression depends.
 
virtual expressionsimplify ()
 simplify expression (useful for derivatives)
 
virtual int Linearity ()
 get a measure of "how linear" the expression is (see CouenneTypes.h)
 
virtual bool isDefinedInteger ()
 is this expression defined as an integer?
 
virtual bool isInteger ()
 is this expression integer?
 
virtual void getBounds (expression *&, expression *&)
 Get lower and upper bound of an expression (if any)
 
virtual void getBounds (CouNumber &, CouNumber &)
 Get lower and upper bound of an expression (if any) – real values.
 
virtual exprAuxstandardize (CouenneProblem *p, bool addAux=true)
 Create standard form of this expression, by:
 
virtual void generateCuts (expression *w, OsiCuts &cs, const CouenneCutGenerator *cg, t_chg_bounds *chg=NULL, int wind=-1, CouNumber lb=-COUENNE_INFINITY, CouNumber ub=COUENNE_INFINITY)
 generate convexification cut for constraint w = this
 
virtual enum expr_type code ()
 return integer for comparing expressions (used to recognize common expression)
 
virtual enum convexity convexity () const
 either CONVEX, CONCAVE, AFFINE, or NONCONVEX
 
virtual int compare (expression &)
 compare expressions
 
virtual int compare (exprCopy &)
 compare copies of expressions
 
virtual int rank ()
 used in rank-based branching variable choice: original variables have rank 1; auxiliary w=f(x) has rank r(w) = r(x)+1; finally, auxiliary w=f(x1,x2...,xk) has rank r(w) = 1+max{r(xi):i=1..k}.
 
virtual bool impliedBound (int, CouNumber *, CouNumber *, t_chg_bounds *, enum auxSign=expression::AUX_EQ)
 does a backward implied bound processing on every expression, including exprSums although already done by Clp (useful when repeated within Couenne).
 
virtual int Multiplicity ()
 multiplicity of a variable
 
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.
 
virtual void replace (exprVar *, exprVar *)
 replace expression with another
 
virtual void fillDepSet (std::set< DepNode *, compNode > *, DepGraph *)
 update dependence set with index of variables on which this expression depends
 
virtual void linkDomain (Domain *d)
 empty function to update domain pointer
 
virtual void realign (const CouenneProblem *p)
 empty function to redirect variables to proper variable vector
 
virtual bool isBijective () const
 indicating if function is monotonically increasing
 
virtual CouNumber inverse (expression *vardep) const
 compute the inverse function
 
virtual void closestFeasible (expression *varind, expression *vardep, CouNumber &left, CouNumber &right) const
 closest feasible points in function in both directions
 
virtual bool isCuttable (CouenneProblem *problem, int index) const
 can this expression be further linearized or are we on its concave ("bad") side
 
virtual bool isaCopy () const
 return true if this is a copy of something (i.e. an exprCopy)
 
virtual expressionCopy () const
 return copy of this expression (only makes sense in exprCopy)
 

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::exprUnary
expressionargument_
 single argument taken by this expression
 

Detailed Description

class cosine, $ \cos f(x) $

Definition at line 20 of file CouenneExprCos.hpp.

Constructor & Destructor Documentation

◆ exprCos()

Couenne::exprCos::exprCos ( expression al)
inline

constructor, destructor

Definition at line 25 of file CouenneExprCos.hpp.

Member Function Documentation

◆ clone()

expression * Couenne::exprCos::clone ( Domain d = NULL) const
inlinevirtual

cloning method

Reimplemented from Couenne::expression.

Definition at line 29 of file CouenneExprCos.hpp.

◆ F()

unary_function Couenne::exprCos::F ( )
inlinevirtual

the operator itself (e.g. sin, log...)

Reimplemented from Couenne::exprUnary.

Definition at line 33 of file CouenneExprCos.hpp.

◆ printOp()

std::string Couenne::exprCos::printOp ( ) const
inlinevirtual

print operator

Reimplemented from Couenne::exprUnary.

Definition at line 37 of file CouenneExprCos.hpp.

◆ gradientNorm()

CouNumber Couenne::exprCos::gradientNorm ( const double *  x)
inlinevirtual

return l-2 norm of gradient at given point

Reimplemented from Couenne::expression.

Definition at line 41 of file CouenneExprCos.hpp.

◆ differentiate()

expression * Couenne::exprCos::differentiate ( int  index)
virtual

obtain derivative of expression

Reimplemented from Couenne::expression.

◆ getBounds() [1/2]

void Couenne::exprCos::getBounds ( expression *&  ,
expression *&   
)
virtual

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

Reimplemented from Couenne::expression.

◆ getBounds() [2/2]

void Couenne::exprCos::getBounds ( CouNumber lb,
CouNumber ub 
)
virtual

Get value of lower and upper bound of an expression.

Reimplemented from Couenne::expression.

◆ generateCuts()

void Couenne::exprCos::generateCuts ( expression w,
OsiCuts cs,
const CouenneCutGenerator cg,
t_chg_bounds = NULL,
int  = -1,
CouNumber  = -COUENNE_INFINITY,
CouNumber  = COUENNE_INFINITY 
)
virtual

generate equality between *this and *w

Reimplemented from Couenne::expression.

◆ code()

virtual enum expr_type Couenne::exprCos::code ( )
inlinevirtual

code for comparisons

Reimplemented from Couenne::exprUnary.

Definition at line 63 of file CouenneExprCos.hpp.

◆ impliedBound()

bool Couenne::exprCos::impliedBound ( int  index,
CouNumber l,
CouNumber u,
t_chg_bounds chg,
enum  auxSign = expression::AUX_EQ 
)
inlinevirtual

implied bound processing

Reimplemented from Couenne::expression.

Definition at line 67 of file CouenneExprCos.hpp.

◆ selectBranch()

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

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

Reimplemented from Couenne::expression.

Definition at line 84 of file CouenneExprCos.hpp.

◆ closestFeasible()

virtual void Couenne::exprCos::closestFeasible ( expression varind,
expression vardep,
CouNumber left,
CouNumber right 
) const
virtual

closest feasible points in function in both directions

Reimplemented from Couenne::expression.

◆ isCuttable()

virtual bool Couenne::exprCos::isCuttable ( CouenneProblem problem,
int  index 
) const
inlinevirtual

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

Reimplemented from Couenne::expression.

Definition at line 99 of file CouenneExprCos.hpp.


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