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TQpVar Class Reference

Class containing the variables for the general QP formulation.

In terms of in our abstract problem formulation, these variables are the vectors x, y, z and s.

Definition at line 59 of file TQpVar.h.

Public Types

enum  EVarBlock {
  kno_block , kt_block , klambda_block , ku_block ,
  kpi_block , kv_block , kgamma_block , kw_block ,
  kphi_block
}
 
- Public Types inherited from TObject
enum  {
  kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 ,
  kBitMask = 0x00ffffff
}
 
enum  { kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) }
 
enum  EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }
 
enum  EStatusBits {
  kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) ,
  kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 ))
}
 

Public Member Functions

 TQpVar ()
 Default constructor.
 
 TQpVar (const TQpVar &another)
 Copy constructor.
 
 TQpVar (Int_t nx, Int_t my, Int_t mz, TVectorD &ixlow, TVectorD &ixupp, TVectorD &iclow, TVectorD &icupp)
 Constructor.
 
 TQpVar (TVectorD &x_in, TVectorD &s_in, TVectorD &y_in, TVectorD &z_in, TVectorD &v_in, TVectorD &gamma_in, TVectorD &w_in, TVectorD &phi_in, TVectorD &t_in, TVectorD &lambda_in, TVectorD &u_in, TVectorD &pi_in, TVectorD &ixlow_in, TVectorD &ixupp_in, TVectorD &iclow_in, TVectorD &icupp_in)
 Constructor.
 
 ~TQpVar () override
 
virtual Double_t FindBlocking (TQpVar *step, Double_t &primalValue, Double_t &primalStep, Double_t &dualValue, Double_t &dualStep, Int_t &firstOrSecond)
 Performs the same function as StepBound, and supplies additional information about which component of the nonnegative variables is responsible for restricting alpha.
 
virtual Double_t GetMu ()
 compute complementarity gap, obtained by taking the inner product of the complementary vectors and dividing by the total number of components computes mu = (t'lambda +u'pi + v'gamma + w'phi)/(mclow+mcupp+nxlow+nxupp)
 
virtual void InteriorPoint (Double_t alpha, Double_t beta)
 Sets components of (u,t,v,w) to alpha and of (lambda,pi,phi,gamma) to beta.
 
virtual Bool_t IsInteriorPoint ()
 Is the current position an interior point ?
 
virtual Double_t MuStep (TQpVar *step, Double_t alpha)
 Compute the complementarity gap resulting from a step of length "alpha" along direction "step".
 
virtual void Negate ()
 Perform a "negate" operation on all data vectors : x = -x.
 
virtual Double_t Norm1 ()
 Return the sum of the vector-norm1's.
 
virtual Double_t NormInf ()
 Return the sum of the vector-normInf's.
 
TQpVaroperator= (const TQpVar &source)
 Assignment operator.
 
void Print (Option_t *option="") const override
 Print class members.
 
virtual void Saxpy (TQpVar *b, Double_t alpha)
 Perform a "saxpy" operation on all data vectors : x += alpha*y.
 
virtual void ShiftBoundVariables (Double_t alpha, Double_t beta)
 Add alpha to components of (u,t,v,w) and beta to components of (lambda,pi,phi,gamma)
 
virtual Double_t StepBound (TQpVar *b)
 calculate the largest alpha in (0,1] such that the/ nonnegative variables stay nonnegative in the given search direction.
 
virtual Bool_t ValidNonZeroPattern ()
 Check that the variables conform to the non-zero indices.
 
virtual Double_t Violation ()
 The amount by which the current variables violate the non-negativity constraints.
 
- Public Member Functions inherited from TObject
 TObject ()
 TObject constructor.
 
 TObject (const TObject &object)
 TObject copy ctor.
 
virtual ~TObject ()
 TObject destructor.
 
void AbstractMethod (const char *method) const
 Use this method to implement an "abstract" method that you don't want to leave purely abstract.
 
virtual void AppendPad (Option_t *option="")
 Append graphics object to current pad.
 
virtual void Browse (TBrowser *b)
 Browse object. May be overridden for another default action.
 
ULong_t CheckedHash ()
 Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object.
 
virtual const char * ClassName () const
 Returns name of class to which the object belongs.
 
virtual void Clear (Option_t *="")
 
virtual TObjectClone (const char *newname="") const
 Make a clone of an object using the Streamer facility.
 
virtual Int_t Compare (const TObject *obj) const
 Compare abstract method.
 
virtual void Copy (TObject &object) const
 Copy this to obj.
 
virtual void Delete (Option_t *option="")
 Delete this object.
 
virtual Int_t DistancetoPrimitive (Int_t px, Int_t py)
 Computes distance from point (px,py) to the object.
 
virtual void Draw (Option_t *option="")
 Default Draw method for all objects.
 
virtual void DrawClass () const
 Draw class inheritance tree of the class to which this object belongs.
 
virtual TObjectDrawClone (Option_t *option="") const
 Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1).
 
virtual void Dump () const
 Dump contents of object on stdout.
 
virtual void Error (const char *method, const char *msgfmt,...) const
 Issue error message.
 
virtual void Execute (const char *method, const char *params, Int_t *error=nullptr)
 Execute method on this object with the given parameter string, e.g.
 
virtual void Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr)
 Execute method on this object with parameters stored in the TObjArray.
 
virtual void ExecuteEvent (Int_t event, Int_t px, Int_t py)
 Execute action corresponding to an event at (px,py).
 
virtual void Fatal (const char *method, const char *msgfmt,...) const
 Issue fatal error message.
 
virtual TObjectFindObject (const char *name) const
 Must be redefined in derived classes.
 
virtual TObjectFindObject (const TObject *obj) const
 Must be redefined in derived classes.
 
virtual Option_tGetDrawOption () const
 Get option used by the graphics system to draw this object.
 
virtual const char * GetIconName () const
 Returns mime type name of object.
 
virtual const char * GetName () const
 Returns name of object.
 
virtual char * GetObjectInfo (Int_t px, Int_t py) const
 Returns string containing info about the object at position (px,py).
 
virtual Option_tGetOption () const
 
virtual const char * GetTitle () const
 Returns title of object.
 
virtual UInt_t GetUniqueID () const
 Return the unique object id.
 
virtual Bool_t HandleTimer (TTimer *timer)
 Execute action in response of a timer timing out.
 
virtual ULong_t Hash () const
 Return hash value for this object.
 
Bool_t HasInconsistentHash () const
 Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e.
 
virtual void Info (const char *method, const char *msgfmt,...) const
 Issue info message.
 
virtual Bool_t InheritsFrom (const char *classname) const
 Returns kTRUE if object inherits from class "classname".
 
virtual Bool_t InheritsFrom (const TClass *cl) const
 Returns kTRUE if object inherits from TClass cl.
 
virtual void Inspect () const
 Dump contents of this object in a graphics canvas.
 
void InvertBit (UInt_t f)
 
virtual TClassIsA () const
 
Bool_t IsDestructed () const
 IsDestructed.
 
virtual Bool_t IsEqual (const TObject *obj) const
 Default equal comparison (objects are equal if they have the same address in memory).
 
virtual Bool_t IsFolder () const
 Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).
 
R__ALWAYS_INLINE Bool_t IsOnHeap () const
 
virtual Bool_t IsSortable () const
 
R__ALWAYS_INLINE Bool_t IsZombie () const
 
virtual void ls (Option_t *option="") const
 The ls function lists the contents of a class on stdout.
 
void MayNotUse (const char *method) const
 Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary).
 
virtual Bool_t Notify ()
 This method must be overridden to handle object notification (the base implementation is no-op).
 
void Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const
 Use this method to declare a method obsolete.
 
void operator delete (void *ptr)
 Operator delete.
 
void operator delete[] (void *ptr)
 Operator delete [].
 
void * operator new (size_t sz)
 
void * operator new (size_t sz, void *vp)
 
void * operator new[] (size_t sz)
 
void * operator new[] (size_t sz, void *vp)
 
TObjectoperator= (const TObject &rhs)
 TObject assignment operator.
 
virtual void Paint (Option_t *option="")
 This method must be overridden if a class wants to paint itself.
 
virtual void Pop ()
 Pop on object drawn in a pad to the top of the display list.
 
virtual Int_t Read (const char *name)
 Read contents of object with specified name from the current directory.
 
virtual void RecursiveRemove (TObject *obj)
 Recursively remove this object from a list.
 
void ResetBit (UInt_t f)
 
virtual void SaveAs (const char *filename="", Option_t *option="") const
 Save this object in the file specified by filename.
 
virtual void SavePrimitive (std::ostream &out, Option_t *option="")
 Save a primitive as a C++ statement(s) on output stream "out".
 
void SetBit (UInt_t f)
 
void SetBit (UInt_t f, Bool_t set)
 Set or unset the user status bits as specified in f.
 
virtual void SetDrawOption (Option_t *option="")
 Set drawing option for object.
 
virtual void SetUniqueID (UInt_t uid)
 Set the unique object id.
 
virtual void Streamer (TBuffer &)
 Stream an object of class TObject.
 
void StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
 
virtual void SysError (const char *method, const char *msgfmt,...) const
 Issue system error message.
 
R__ALWAYS_INLINE Bool_t TestBit (UInt_t f) const
 
Int_t TestBits (UInt_t f) const
 
virtual void UseCurrentStyle ()
 Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.
 
virtual void Warning (const char *method, const char *msgfmt,...) const
 Issue warning message.
 
virtual Int_t Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
 Write this object to the current directory.
 
virtual Int_t Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
 Write this object to the current directory.
 

Public Attributes

TVectorD fGamma
 
TVectorD fLambda
 
Int_t fNComplementaryVariables
 
TVectorD fPhi
 
TVectorD fPi
 
TVectorD fS
 
TVectorD fT
 
TVectorD fU
 
TVectorD fV
 
TVectorD fW
 
TVectorD fX
 
TVectorD fY
 
TVectorD fZ
 

Static Protected Member Functions

static Double_t FindBlocking (TVectorD &w, TVectorD &wstep, TVectorD &u, TVectorD &ustep, Double_t maxStep, Double_t &w_elt, Double_t &wstep_elt, Double_t &u_elt, Double_t &ustep_elt, int &first_or_second)
 See other FindBlocking function.
 
static Double_t FindBlockingSub (Int_t n, Double_t *w, Int_t incw, Double_t *wstep, Int_t incwstep, Double_t *u, Int_t incu, Double_t *ustep, Int_t incustep, Double_t maxStep, Double_t &w_elt, Double_t &wstep_elt, Double_t &u_elt, Double_t &ustep_elt, Int_t &first_or_second)
 See FindBlocking function.
 
static Double_t StepBound (TVectorD &v, TVectorD &dir, Double_t maxStep)
 Find the maximum stepsize of v in direction dir before violating the nonnegativity constraints.
 

Protected Attributes

TVectorD fCloIndex
 
TVectorD fCupIndex
 
Int_t fMclo
 
Int_t fMcup
 
Int_t fMy
 
Int_t fMz
 
Int_t fNx
 
Int_t fNxlo
 
Int_t fNxup
 
TVectorD fXloIndex
 
TVectorD fXupIndex
 

Additional Inherited Members

- Static Public Member Functions inherited from TObject
static TClassClass ()
 
static const char * Class_Name ()
 
static constexpr Version_t Class_Version ()
 
static const char * DeclFileName ()
 
static Longptr_t GetDtorOnly ()
 Return destructor only flag.
 
static Bool_t GetObjectStat ()
 Get status of object stat flag.
 
static void SetDtorOnly (void *obj)
 Set destructor only flag.
 
static void SetObjectStat (Bool_t stat)
 Turn on/off tracking of objects in the TObjectTable.
 
- Protected Types inherited from TObject
enum  { kOnlyPrepStep = (1ULL << ( 3 )) }
 
- Protected Member Functions inherited from TObject
virtual void DoError (int level, const char *location, const char *fmt, va_list va) const
 Interface to ErrorHandler (protected).
 
void MakeZombie ()
 

#include <TQpVar.h>

Inheritance diagram for TQpVar:
[legend]

Member Enumeration Documentation

◆ EVarBlock

Enumerator
kno_block 
kt_block 
klambda_block 
ku_block 
kpi_block 
kv_block 
kgamma_block 
kw_block 
kphi_block 

Definition at line 127 of file TQpVar.h.

Constructor & Destructor Documentation

◆ TQpVar() [1/4]

TQpVar::TQpVar ( )

Default constructor.

Definition at line 59 of file TQpVar.cxx.

◆ TQpVar() [2/4]

TQpVar::TQpVar ( TVectorD x_in,
TVectorD s_in,
TVectorD y_in,
TVectorD z_in,
TVectorD v_in,
TVectorD gamma_in,
TVectorD w_in,
TVectorD phi_in,
TVectorD t_in,
TVectorD lambda_in,
TVectorD u_in,
TVectorD pi_in,
TVectorD ixlow_in,
TVectorD ixupp_in,
TVectorD iclow_in,
TVectorD icupp_in 
)

Constructor.

Definition at line 75 of file TQpVar.cxx.

◆ TQpVar() [3/4]

TQpVar::TQpVar ( Int_t  nx,
Int_t  my,
Int_t  mz,
TVectorD ixlow,
TVectorD ixupp,
TVectorD iclow,
TVectorD icupp 
)

Constructor.

Definition at line 130 of file TQpVar.cxx.

◆ TQpVar() [4/4]

TQpVar::TQpVar ( const TQpVar another)

Copy constructor.

Definition at line 181 of file TQpVar.cxx.

◆ ~TQpVar()

TQpVar::~TQpVar ( )
inlineoverride

Definition at line 120 of file TQpVar.h.

Member Function Documentation

◆ FindBlocking() [1/2]

Double_t TQpVar::FindBlocking ( TQpVar step,
Double_t primalValue,
Double_t primalStep,
Double_t dualValue,
Double_t dualStep,
Int_t fIrstOrSecond 
)
virtual

Performs the same function as StepBound, and supplies additional information about which component of the nonnegative variables is responsible for restricting alpha.

In terms of the abstract formulation, the components have the following meanings :

primalValue : the value of the blocking component of the primal variables (u,t,v,w). primalStep : the corresponding value of the blocking component of the primal step variables (b->u,b->t,b->v,b->w) dualValue : the value of the blocking component of the dual variables/ (lambda,pi,phi,gamma). dualStep : the corresponding value of the blocking component of the dual step variables (b->lambda,b->pi,b->phi,b->gamma) firstOrSecond : 1 if the primal step is blocking, 2 if the dual step is block, 0 if no step is blocking.

Definition at line 414 of file TQpVar.cxx.

◆ FindBlocking() [2/2]

Double_t TQpVar::FindBlocking ( TVectorD w,
TVectorD wstep,
TVectorD u,
TVectorD ustep,
Double_t  maxStep,
Double_t w_elt,
Double_t wstep_elt,
Double_t u_elt,
Double_t ustep_elt,
int first_or_second 
)
staticprotected

See other FindBlocking function.

Definition at line 446 of file TQpVar.cxx.

◆ FindBlockingSub()

Double_t TQpVar::FindBlockingSub ( Int_t  n,
Double_t w,
Int_t  incw,
Double_t wstep,
Int_t  incwstep,
Double_t u,
Int_t  incu,
Double_t ustep,
Int_t  incustep,
Double_t  maxStep,
Double_t w_elt,
Double_t wstep_elt,
Double_t u_elt,
Double_t ustep_elt,
Int_t first_or_second 
)
staticprotected

See FindBlocking function.

Definition at line 465 of file TQpVar.cxx.

◆ GetMu()

Double_t TQpVar::GetMu ( )
virtual

compute complementarity gap, obtained by taking the inner product of the complementary vectors and dividing by the total number of components computes mu = (t'lambda +u'pi + v'gamma + w'phi)/(mclow+mcupp+nxlow+nxupp)

Definition at line 192 of file TQpVar.cxx.

◆ InteriorPoint()

void TQpVar::InteriorPoint ( Double_t  alpha,
Double_t  beta 
)
virtual

Sets components of (u,t,v,w) to alpha and of (lambda,pi,phi,gamma) to beta.

Definition at line 534 of file TQpVar.cxx.

◆ IsInteriorPoint()

Bool_t TQpVar::IsInteriorPoint ( )
virtual

Is the current position an interior point ?

Definition at line 375 of file TQpVar.cxx.

◆ MuStep()

Double_t TQpVar::MuStep ( TQpVar step,
Double_t  alpha 
)
virtual

Compute the complementarity gap resulting from a step of length "alpha" along direction "step".

Definition at line 211 of file TQpVar.cxx.

◆ Negate()

void TQpVar::Negate ( )
virtual

Perform a "negate" operation on all data vectors : x = -x.

Definition at line 272 of file TQpVar.cxx.

◆ Norm1()

Double_t TQpVar::Norm1 ( )
virtual

Return the sum of the vector-norm1's.

Definition at line 676 of file TQpVar.cxx.

◆ NormInf()

Double_t TQpVar::NormInf ( )
virtual

Return the sum of the vector-normInf's.

Definition at line 700 of file TQpVar.cxx.

◆ operator=()

TQpVar & TQpVar::operator= ( const TQpVar source)

Assignment operator.

Definition at line 772 of file TQpVar.cxx.

◆ Print()

void TQpVar::Print ( Option_t option = "") const
overridevirtual

Print class members.

Reimplemented from TObject.

Definition at line 639 of file TQpVar.cxx.

◆ Saxpy()

void TQpVar::Saxpy ( TQpVar b,
Double_t  alpha 
)
virtual

Perform a "saxpy" operation on all data vectors : x += alpha*y.

Definition at line 232 of file TQpVar.cxx.

◆ ShiftBoundVariables()

void TQpVar::ShiftBoundVariables ( Double_t  alpha,
Double_t  beta 
)
virtual

Add alpha to components of (u,t,v,w) and beta to components of (lambda,pi,phi,gamma)

Definition at line 615 of file TQpVar.cxx.

◆ StepBound() [1/2]

Double_t TQpVar::StepBound ( TQpVar b)
virtual

calculate the largest alpha in (0,1] such that the/ nonnegative variables stay nonnegative in the given search direction.

In the general QP problem formulation this is the largest value of alpha such that (t,u,v,w,lambda,pi,phi,gamma) + alpha * (b->t,b->u,b->v,b->w,b->lambda,b->pi, b->phi,b->gamma) >= 0.

Definition at line 304 of file TQpVar.cxx.

◆ StepBound() [2/2]

Double_t TQpVar::StepBound ( TVectorD v,
TVectorD dir,
Double_t  maxStep 
)
staticprotected

Find the maximum stepsize of v in direction dir before violating the nonnegativity constraints.

Definition at line 348 of file TQpVar.cxx.

◆ ValidNonZeroPattern()

Bool_t TQpVar::ValidNonZeroPattern ( )
virtual

Check that the variables conform to the non-zero indices.

Definition at line 740 of file TQpVar.cxx.

◆ Violation()

Double_t TQpVar::Violation ( )
virtual

The amount by which the current variables violate the non-negativity constraints.

Definition at line 574 of file TQpVar.cxx.

Member Data Documentation

◆ fCloIndex

TVectorD TQpVar::fCloIndex
protected

Definition at line 75 of file TQpVar.h.

◆ fCupIndex

TVectorD TQpVar::fCupIndex
protected

Definition at line 74 of file TQpVar.h.

◆ fGamma

TVectorD TQpVar::fGamma

Definition at line 100 of file TQpVar.h.

◆ fLambda

TVectorD TQpVar::fLambda

Definition at line 103 of file TQpVar.h.

◆ fMclo

Int_t TQpVar::fMclo
protected

Definition at line 69 of file TQpVar.h.

◆ fMcup

Int_t TQpVar::fMcup
protected

Definition at line 68 of file TQpVar.h.

◆ fMy

Int_t TQpVar::fMy
protected

Definition at line 64 of file TQpVar.h.

◆ fMz

Int_t TQpVar::fMz
protected

Definition at line 65 of file TQpVar.h.

◆ fNComplementaryVariables

Int_t TQpVar::fNComplementaryVariables

Definition at line 88 of file TQpVar.h.

◆ fNx

Int_t TQpVar::fNx
protected

Definition at line 63 of file TQpVar.h.

◆ fNxlo

Int_t TQpVar::fNxlo
protected

Definition at line 67 of file TQpVar.h.

◆ fNxup

Int_t TQpVar::fNxup
protected

Definition at line 66 of file TQpVar.h.

◆ fPhi

TVectorD TQpVar::fPhi

Definition at line 97 of file TQpVar.h.

◆ fPi

TVectorD TQpVar::fPi

Definition at line 106 of file TQpVar.h.

◆ fS

TVectorD TQpVar::fS

Definition at line 92 of file TQpVar.h.

◆ fT

TVectorD TQpVar::fT

Definition at line 102 of file TQpVar.h.

◆ fU

TVectorD TQpVar::fU

Definition at line 105 of file TQpVar.h.

◆ fV

TVectorD TQpVar::fV

Definition at line 96 of file TQpVar.h.

◆ fW

TVectorD TQpVar::fW

Definition at line 99 of file TQpVar.h.

◆ fX

TVectorD TQpVar::fX

Definition at line 91 of file TQpVar.h.

◆ fXloIndex

TVectorD TQpVar::fXloIndex
protected

Definition at line 72 of file TQpVar.h.

◆ fXupIndex

TVectorD TQpVar::fXupIndex
protected

Definition at line 73 of file TQpVar.h.

◆ fY

TVectorD TQpVar::fY

Definition at line 93 of file TQpVar.h.

◆ fZ

TVectorD TQpVar::fZ

Definition at line 94 of file TQpVar.h.

Libraries for TQpVar:

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