TDecompSparse Class Reference

Sparse Symmetric Decomposition class.

Solve a sparse symmetric system of linear equations using a method based on Gaussian elimination as discussed in Duff and Reid, ACM Trans. Math. Software 9 (1983), 302-325.

Definition at line 43 of file TDecompSparse.h.

Public Member Functions
	TDecompSparse ()
	Default constructor.
	TDecompSparse (const TDecompSparse &another)
	Copy constructor.
	TDecompSparse (const TMatrixDSparse &a, Int_t verbose)
	Constructor for matrix A .
	TDecompSparse (Int_t nRows, Int_t nr_nonZeros, Int_t verbose)
	Constructor for a matrix with nrows and unspecified number of columns .
	TDecompSparse (Int_t row_lwb, Int_t row_upb, Int_t nr_nonZeros, Int_t verbose)
	Constructor for a matrix with row range, [row_lwb..row_upb] and unspecified column range .
	~TDecompSparse () override
Bool_t	Decompose () override
	Decomposition engine .
void	Det (Double_t &, Double_t &) override
	Matrix determinant det = d1*TMath::Power(2.,d2)
Int_t	GetNcols () const override
Int_t	GetNrows () const override
TClass *	IsA () const override
TDecompSparse &	operator= (const TDecompSparse &source)
	Assignment operator.
void	Print (Option_t *opt="") const override
	Print class members.
virtual void	SetMatrix (const TMatrixDSparse &a)
	Set matrix to be decomposed .
void	SetVerbose (Int_t v)
TVectorD	Solve (const TVectorD &b, Bool_t &ok) override
Bool_t	Solve (TMatrixDColumn &) override
Bool_t	Solve (TVectorD &b) override
	Solve Ax=b . Solution returned in b.
void	Streamer (TBuffer &) override
	Stream an object of class TObject.
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
TVectorD	TransSolve (const TVectorD &b, Bool_t &ok) override
Bool_t	TransSolve (TMatrixDColumn &) override
Bool_t	TransSolve (TVectorD &b) override
Public Member Functions inherited from TDecompBase
	TDecompBase ()
	Default constructor.
	TDecompBase (const TDecompBase &another)
	Copy constructor.
	~TDecompBase () override
virtual Double_t	Condition ()
	Matrix condition number.
Int_t	GetColLwb () const
Double_t	GetCondition () const
Double_t	GetDet1 () const
Double_t	GetDet2 () const
Int_t	GetRowLwb () const
Double_t	GetTol () const
virtual Bool_t	MultiSolve (TMatrixD &B)
	Solve set of equations with RHS in columns of B.
TDecompBase &	operator= (const TDecompBase &source)
	Assignment operator.
Double_t	SetTol (Double_t tol)
void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)
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 TObject *	Clone (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 TObject *	DrawClone (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 TObject *	FindObject (const char *name) const
	Must be redefined in derived classes.
virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes.
virtual Option_t *	GetDrawOption () 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_t *	GetOption () 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)
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 *, size_t)
	Operator delete for sized deallocation.
void	operator delete (void *ptr)
	Operator delete.
void	operator delete (void *ptr, void *vp)
	Only called by placement new when throwing an exception.
void	operator delete[] (void *, size_t)
	Operator delete [] for sized deallocation.
void	operator delete[] (void *ptr)
	Operator delete [].
void	operator delete[] (void *ptr, void *vp)
	Only called by placement new[] when throwing an exception.
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)
TObject &	operator= (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.
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.

Static Public Member Functions
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TDecompBase
static TClass *	Class ()
static const char *	Class_Name ()
static constexpr Version_t	Class_Version ()
static const char *	DeclFileName ()
Static Public Member Functions inherited from TObject
static TClass *	Class ()
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 Member Functions
Int_t	ErrorFlag ()
const TMatrixDBase &	GetDecompMatrix () const override
Double_t	GetThresholdPivoting ()
Double_t	GetTreatAsZero ()
Int_t	IError ()
void	InitParam ()
	initializing control parameters
Int_t	MinIntWorkspace ()
Int_t	MinRealWorkspace ()
void	SetThresholdPivoting (Double_t piv)
void	SetTreatAsZero (Double_t tol)
Protected Member Functions inherited from TDecompBase
Int_t	Hager (Double_t &est, Int_t iter=5)
void	ResetStatus ()
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 ()

Static Protected Member Functions
static void	CopyUpperTriang (const TMatrixDSparse &a, Double_t *b)
	Static function, copying the non-zero entries in the upper triangle to array b .
static void	Factor (const Int_t n, const Int_t nz, TArrayI &Airn, TArrayI &Aicn, TArrayD &Aa, TArrayI &Aiw, TArrayI &Aikeep, const Int_t nsteps, Int_t &maxfrt, TArrayI &Aiw1, Int_t *icntl, Double_t *cntl, Int_t *info)
	Factorization routine, the workhorse for the decomposition step.
static void	Factor_sub1 (const Int_t n, const Int_t nz, Int_t &nz1, Double_t *a, const Int_t la, Int_t *irn, Int_t *icn, Int_t *iw, const Int_t liw, Int_t *perm, Int_t *iw2, Int_t *icntl, Int_t *info)
	Help routine for factorization.
static void	Factor_sub2 (const Int_t n, const Int_t nz, Double_t *a, const Int_t la, Int_t *iw, const Int_t liw, Int_t *perm, Int_t *nstk, const Int_t nsteps, Int_t &maxfrt, Int_t *nelim, Int_t *iw2, Int_t *icntl, Double_t *cntl, Int_t *info)
	Help routine for factorization.
static void	Factor_sub3 (Double_t *a, Int_t *iw, Int_t &j1, Int_t &j2, const Int_t itop, const Int_t ireal, Int_t &ncmpbr, Int_t &ncmpbi)
	Help routine for factorization.
static Int_t	IDiag (Int_t ix, Int_t iy)
static void	InitPivot (const Int_t n, const Int_t nz, TArrayI &Airn, TArrayI &Aicn, TArrayI &Aiw, TArrayI &Aikeep, TArrayI &Aiw1, Int_t &nsteps, const Int_t iflag, Int_t *icntl, Double_t *cntl, Int_t *info, Double_t &ops)
	Setup Pivoting variables.
static void	InitPivot_sub1 (const Int_t n, const Int_t nz, Int_t *irn, Int_t *icn, Int_t *iw, Int_t *ipe, Int_t *iq, Int_t *flag, Int_t &iwfr, Int_t *icntl, Int_t *info)
	Help routine for pivoting setup.
static void	InitPivot_sub2 (const Int_t n, Int_t *ipe, Int_t *iw, const Int_t lw, Int_t &iwfr, Int_t *nv, Int_t *nxt, Int_t *lst, Int_t *ipd, Int_t *flag, const Int_t iovflo, Int_t &ncmpa, const Double_t fratio)
	Help routine for pivoting setup.
static void	InitPivot_sub2a (const Int_t n, Int_t *ipe, Int_t *iw, const Int_t lw, Int_t &iwfr, Int_t &ncmpa)
	Help routine for pivoting setup.
static void	InitPivot_sub3 (const Int_t n, const Int_t nz, Int_t *irn, Int_t *icn, Int_t *perm, Int_t *iw, Int_t *ipe, Int_t *iq, Int_t *flag, Int_t &iwfr, Int_t *icntl, Int_t *info)
	Help routine for pivoting setup.
static void	InitPivot_sub4 (const Int_t n, Int_t *ipe, Int_t *iw, const Int_t lw, Int_t &iwfr, Int_t *ips, Int_t *ipv, Int_t *nv, Int_t *flag, Int_t &ncmpa)
	Help routine for pivoting setup.
static void	InitPivot_sub5 (const Int_t n, Int_t *ipe, Int_t *nv, Int_t *ips, Int_t *ne, Int_t *na, Int_t *nd, Int_t &nsteps, const Int_t nemin)
	Help routine for pivoting setup.
static void	InitPivot_sub6 (const Int_t n, const Int_t nz, Int_t *irn, Int_t *icn, Int_t *perm, Int_t *na, Int_t *ne, Int_t *nd, const Int_t nsteps, Int_t *lstki, Int_t *lstkr, Int_t *iw, Int_t *info, Double_t &ops)
	Help routine for pivoting setup.
static Int_t	NonZerosUpperTriang (const TMatrixDSparse &a)
	Static function, returning the number of non-zero entries in the upper triangular matrix .
static void	Solve (const Int_t n, TArrayD &Aa, TArrayI &Aiw, TArrayD &Aw, const Int_t maxfrt, TVectorD &b, TArrayI &Aiw1, const Int_t nsteps, Int_t *icntl, Int_t *info)
	Main routine for solving Ax=b.
static void	Solve_sub1 (const Int_t n, Double_t *a, Int_t *iw, Double_t *w, Double_t *rhs, Int_t *iw2, const Int_t nblk, Int_t &latop, Int_t *icntl)
	Help routine for solving.
static void	Solve_sub2 (const Int_t n, Double_t *a, Int_t *iw, Double_t *w, Double_t *rhs, Int_t *iw2, const Int_t nblk, const Int_t latop, Int_t *icntl)
	Help routine for solving.
Static Protected Member Functions inherited from TDecompBase
static void	DiagProd (const TVectorD &diag, Double_t tol, Double_t &d1, Double_t &d2)

Protected Attributes
TMatrixDSparse	fA
Double_t	fCntl [6]
TArrayI	fColFact
TArrayD	fFact
Int_t	fIcntl [31]
TArrayI	fIkeep
Int_t	fInfo [21]
Double_t	fIPessimism
TArrayI	fIw
TArrayI	fIw1
TArrayI	fIw2
Int_t	fMaxfrt
Int_t	fNnonZeros
Int_t	fNrows
Int_t	fNsteps
Double_t	fPrecision
TArrayI	fRowFact
Double_t	fRPessimism
Int_t	fVerbose
TArrayD	fW
Protected Attributes inherited from TDecompBase
Int_t	fColLwb
Double_t	fCondition
Double_t	fDet1
Double_t	fDet2
Int_t	fRowLwb
Double_t	fTol

Additional Inherited Members
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 )) }
Protected Types inherited from TDecompBase
enum	{ kWorkMax = 100 }
enum	EMatrixDecompStat {   kInit = (1ULL << ( 14 )) , kPatternSet = (1ULL << ( 15 )) , kValuesSet = (1ULL << ( 16 )) , kMatrixSet = (1ULL << ( 17 )) ,   kDecomposed = (1ULL << ( 18 )) , kDetermined = (1ULL << ( 19 )) , kCondition = (1ULL << ( 20 )) , kSingular = (1ULL << ( 21 )) }
Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

#include <TDecompSparse.h>

Inheritance diagram for TDecompSparse:

Constructor & Destructor Documentation

TDecompSparse() [1/5]

TDecompSparse::TDecompSparse

(

)

Default constructor.

Definition at line 30 of file TDecompSparse.cxx.

TDecompSparse() [2/5]

TDecompSparse::TDecompSparse	(	Int_t	nRows,
		Int_t	nr_nonZeros,
		Int_t	verbose )

Constructor for a matrix with nrows and unspecified number of columns .

nr_nonZeros is the total number of non-zero entries in the matrix .

Definition at line 41 of file TDecompSparse.cxx.

TDecompSparse() [3/5]

TDecompSparse::TDecompSparse	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	nr_nonZeros,
		Int_t	verbose )

Constructor for a matrix with row range, [row_lwb..row_upb] and unspecified column range .

nr_nonZeros is the total number of non-zero entries in the matrix .

Definition at line 67 of file TDecompSparse.cxx.

TDecompSparse() [4/5]

TDecompSparse::TDecompSparse	(	const TMatrixDSparse &	a,
		Int_t	verbose )

Constructor for matrix A .

Definition at line 94 of file TDecompSparse.cxx.

TDecompSparse() [5/5]

TDecompSparse::TDecompSparse

(

const TDecompSparse &

another

)

Copy constructor.

Definition at line 107 of file TDecompSparse.cxx.

~TDecompSparse()

TDecompSparse::~TDecompSparse ( )

inlineoverride

Definition at line 148 of file TDecompSparse.h.

Member Function Documentation

Class()

static TClass * TDecompSparse::Class ( )

static

Returns

TClass describing this class

Class_Name()

static const char * TDecompSparse::Class_Name ( )

static

Returns

Name of this class

Class_Version()

static constexpr Version_t TDecompSparse::Class_Version ( )

inlinestaticconstexpr

Returns

Version of this class

Definition at line 176 of file TDecompSparse.h.

CopyUpperTriang()

void TDecompSparse::CopyUpperTriang ( const TMatrixDSparse & a, Double_t * b )

staticprotected

Static function, copying the non-zero entries in the upper triangle to array b .

User should allocate enough memory for array b .

Definition at line 139 of file TDecompSparse.cxx.

DeclFileName()

static const char * TDecompSparse::DeclFileName ( )

inlinestatic

Returns

Name of the file containing the class declaration

Definition at line 176 of file TDecompSparse.h.

Decompose()

Bool_t TDecompSparse::Decompose ( )

overridevirtual

Decomposition engine .

If the decomposition succeeds, bit kDecomposed is set .

Implements TDecompBase.

Definition at line 234 of file TDecompSparse.cxx.

Det()

void TDecompSparse::Det ( Double_t & d1, Double_t & d2 )

inlineoverridevirtual

Matrix determinant det = d1*TMath::Power(2.,d2)

Reimplemented from TDecompBase.

Definition at line 169 of file TDecompSparse.h.

ErrorFlag()

Int_t TDecompSparse::ErrorFlag ( )

inlineprotected

Definition at line 124 of file TDecompSparse.h.

Factor()

void TDecompSparse::Factor ( const Int_t n, const Int_t nz, TArrayI & Airn, TArrayI & Aicn, TArrayD & Aa, TArrayI & Aiw, TArrayI & Aikeep, const Int_t nsteps, Int_t & maxfrt, TArrayI & Aiw1, Int_t * icntl, Double_t * cntl, Int_t * info )

staticprotected

Factorization routine, the workhorse for the decomposition step.

Definition at line 581 of file TDecompSparse.cxx.

Factor_sub1()

void TDecompSparse::Factor_sub1 ( const Int_t n, const Int_t nz, Int_t & nz1, Double_t * a, const Int_t la, Int_t * irn, Int_t * icn, Int_t * iw, const Int_t liw, Int_t * perm, Int_t * iw2, Int_t * icntl, Int_t * info )

staticprotected

Help routine for factorization.

Definition at line 1741 of file TDecompSparse.cxx.

Factor_sub2()

void TDecompSparse::Factor_sub2 ( const Int_t n, const Int_t nz, Double_t * a, const Int_t la, Int_t * iw, const Int_t liw, Int_t * perm, Int_t * nstk, const Int_t nsteps, Int_t & maxfrt, Int_t * nelim, Int_t * iw2, Int_t * icntl, Double_t * cntl, Int_t * info )

staticprotected

Help routine for factorization.

Definition at line 1883 of file TDecompSparse.cxx.

Factor_sub3()

void TDecompSparse::Factor_sub3 ( Double_t * a, Int_t * iw, Int_t & j1, Int_t & j2, const Int_t itop, const Int_t ireal, Int_t & ncmpbr, Int_t & ncmpbi )

staticprotected

Help routine for factorization.

Definition at line 2389 of file TDecompSparse.cxx.

GetDecompMatrix()

const TMatrixDBase & TDecompSparse::GetDecompMatrix ( ) const

inlineoverrideprotectedvirtual

Implements TDecompBase.

Definition at line 139 of file TDecompSparse.h.

GetNcols()

Int_t TDecompSparse::GetNcols ( ) const

inlineoverridevirtual

Implements TDecompBase.

Definition at line 155 of file TDecompSparse.h.

GetNrows()

Int_t TDecompSparse::GetNrows ( ) const

inlineoverridevirtual

Implements TDecompBase.

Definition at line 154 of file TDecompSparse.h.

GetThresholdPivoting()

Double_t TDecompSparse::GetThresholdPivoting ( )

inlineprotected

Definition at line 130 of file TDecompSparse.h.

GetTreatAsZero()

Double_t TDecompSparse::GetTreatAsZero ( )

inlineprotected

Definition at line 131 of file TDecompSparse.h.

IDiag()

static Int_t TDecompSparse::IDiag ( Int_t ix, Int_t iy )

inlinestaticprotected

Definition at line 119 of file TDecompSparse.h.

IError()

Int_t TDecompSparse::IError ( )

inlineprotected

Definition at line 121 of file TDecompSparse.h.

InitParam()

void TDecompSparse::InitParam ( )

protected

initializing control parameters

Definition at line 413 of file TDecompSparse.cxx.

InitPivot()

void TDecompSparse::InitPivot ( const Int_t n, const Int_t nz, TArrayI & Airn, TArrayI & Aicn, TArrayI & Aiw, TArrayI & Aikeep, TArrayI & Aiw1, Int_t & nsteps, const Int_t iflag, Int_t * icntl, Double_t * cntl, Int_t * info, Double_t & ops )

staticprotected

Setup Pivoting variables.

Definition at line 470 of file TDecompSparse.cxx.

InitPivot_sub1()

void TDecompSparse::InitPivot_sub1 ( const Int_t n, const Int_t nz, Int_t * irn, Int_t * icn, Int_t * iw, Int_t * ipe, Int_t * iq, Int_t * flag, Int_t & iwfr, Int_t * icntl, Int_t * info )

staticprotected

Help routine for pivoting setup.

Definition at line 836 of file TDecompSparse.cxx.

InitPivot_sub2()

void TDecompSparse::InitPivot_sub2 ( const Int_t n, Int_t * ipe, Int_t * iw, const Int_t lw, Int_t & iwfr, Int_t * nv, Int_t * nxt, Int_t * lst, Int_t * ipd, Int_t * flag, const Int_t iovflo, Int_t & ncmpa, const Double_t fratio )

staticprotected

Help routine for pivoting setup.

Definition at line 975 of file TDecompSparse.cxx.

InitPivot_sub2a()

void TDecompSparse::InitPivot_sub2a ( const Int_t n, Int_t * ipe, Int_t * iw, const Int_t lw, Int_t & iwfr, Int_t & ncmpa )

staticprotected

Help routine for pivoting setup.

Definition at line 1305 of file TDecompSparse.cxx.

InitPivot_sub3()

void TDecompSparse::InitPivot_sub3 ( const Int_t n, const Int_t nz, Int_t * irn, Int_t * icn, Int_t * perm, Int_t * iw, Int_t * ipe, Int_t * iq, Int_t * flag, Int_t & iwfr, Int_t * icntl, Int_t * info )

staticprotected

Help routine for pivoting setup.

Definition at line 1349 of file TDecompSparse.cxx.

InitPivot_sub4()

void TDecompSparse::InitPivot_sub4 ( const Int_t n, Int_t * ipe, Int_t * iw, const Int_t lw, Int_t & iwfr, Int_t * ips, Int_t * ipv, Int_t * nv, Int_t * flag, Int_t & ncmpa )

staticprotected

Help routine for pivoting setup.

Definition at line 1471 of file TDecompSparse.cxx.

InitPivot_sub5()

void TDecompSparse::InitPivot_sub5 ( const Int_t n, Int_t * ipe, Int_t * nv, Int_t * ips, Int_t * ne, Int_t * na, Int_t * nd, Int_t & nsteps, const Int_t nemin )

staticprotected

Help routine for pivoting setup.

Definition at line 1548 of file TDecompSparse.cxx.

InitPivot_sub6()

void TDecompSparse::InitPivot_sub6 ( const Int_t n, const Int_t nz, Int_t * irn, Int_t * icn, Int_t * perm, Int_t * na, Int_t * ne, Int_t * nd, const Int_t nsteps, Int_t * lstki, Int_t * lstkr, Int_t * iw, Int_t * info, Double_t & ops )

staticprotected

Help routine for pivoting setup.

Definition at line 1637 of file TDecompSparse.cxx.

IsA()

TClass * TDecompSparse::IsA ( ) const

inlineoverridevirtual

Returns

TClass describing current object

Reimplemented from TDecompBase.

Definition at line 176 of file TDecompSparse.h.

MinIntWorkspace()

Int_t TDecompSparse::MinIntWorkspace ( )

inlineprotected

Definition at line 123 of file TDecompSparse.h.

MinRealWorkspace()

Int_t TDecompSparse::MinRealWorkspace ( )

inlineprotected

Definition at line 122 of file TDecompSparse.h.

NonZerosUpperTriang()

Int_t TDecompSparse::NonZerosUpperTriang ( const TMatrixDSparse & a )

staticprotected

Static function, returning the number of non-zero entries in the upper triangular matrix .

Definition at line 115 of file TDecompSparse.cxx.

operator=()

TDecompSparse & TDecompSparse::operator=

(

const TDecompSparse &

source

)

Assignment operator.

Definition at line 2702 of file TDecompSparse.cxx.

Print()

void TDecompSparse::Print ( Option_t * opt = "" ) const

overridevirtual

Print class members.

Reimplemented from TDecompBase.

Definition at line 2686 of file TDecompSparse.cxx.

SetMatrix()

void TDecompSparse::SetMatrix ( const TMatrixDSparse & a )

virtual

Set matrix to be decomposed .

Definition at line 161 of file TDecompSparse.cxx.

SetThresholdPivoting()

void TDecompSparse::SetThresholdPivoting ( Double_t piv )

inlineprotected

Definition at line 136 of file TDecompSparse.h.

SetTreatAsZero()

void TDecompSparse::SetTreatAsZero ( Double_t tol )

inlineprotected

Definition at line 137 of file TDecompSparse.h.

SetVerbose()

void TDecompSparse::SetVerbose ( Int_t v )

inline

Definition at line 150 of file TDecompSparse.h.

Solve() [1/4]

void TDecompSparse::Solve ( const Int_t n, TArrayD & Aa, TArrayI & Aiw, TArrayD & Aw, const Int_t maxfrt, TVectorD & b, TArrayI & Aiw1, const Int_t nsteps, Int_t * icntl, Int_t * info )

staticprotected

Main routine for solving Ax=b.

Definition at line 738 of file TDecompSparse.cxx.

Solve() [2/4]

TVectorD TDecompSparse::Solve ( const TVectorD & b, Bool_t & ok )

inlineoverridevirtual

Implements TDecompBase.

Definition at line 161 of file TDecompSparse.h.

Solve() [3/4]

Bool_t TDecompSparse::Solve ( TMatrixDColumn & )

inlineoverridevirtual

Implements TDecompBase.

Definition at line 162 of file TDecompSparse.h.

Solve() [4/4]

Bool_t TDecompSparse::Solve ( TVectorD & b )

overridevirtual

Solve Ax=b . Solution returned in b.

Implements TDecompBase.

Definition at line 341 of file TDecompSparse.cxx.

Solve_sub1()

void TDecompSparse::Solve_sub1 ( const Int_t n, Double_t * a, Int_t * iw, Double_t * w, Double_t * rhs, Int_t * iw2, const Int_t nblk, Int_t & latop, Int_t * icntl )

staticprotected

Help routine for solving.

Definition at line 2423 of file TDecompSparse.cxx.

Solve_sub2()

void TDecompSparse::Solve_sub2 ( const Int_t n, Double_t * a, Int_t * iw, Double_t * w, Double_t * rhs, Int_t * iw2, const Int_t nblk, const Int_t latop, Int_t * icntl )

staticprotected

Help routine for solving.

Definition at line 2553 of file TDecompSparse.cxx.

Streamer()

void TDecompSparse::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TObject.

Reimplemented from TDecompBase.

StreamerNVirtual()

void TDecompSparse::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 176 of file TDecompSparse.h.

TransSolve() [1/3]

TVectorD TDecompSparse::TransSolve ( const TVectorD & b, Bool_t & ok )

inlineoverridevirtual

Implements TDecompBase.

Definition at line 165 of file TDecompSparse.h.

TransSolve() [2/3]

Bool_t TDecompSparse::TransSolve ( TMatrixDColumn & )

inlineoverridevirtual

Implements TDecompBase.

Definition at line 166 of file TDecompSparse.h.

TransSolve() [3/3]

Bool_t TDecompSparse::TransSolve ( TVectorD & b )

inlineoverridevirtual

Implements TDecompBase.

Definition at line 164 of file TDecompSparse.h.

Member Data Documentation

fA

TMatrixDSparse TDecompSparse::fA

protected

Definition at line 69 of file TDecompSparse.h.

fCntl

Double_t TDecompSparse::fCntl[6]

protected

Definition at line 50 of file TDecompSparse.h.

fColFact

TArrayI TDecompSparse::fColFact

protected

Definition at line 75 of file TDecompSparse.h.

fFact

TArrayD TDecompSparse::fFact

protected

Definition at line 72 of file TDecompSparse.h.

fIcntl

Int_t TDecompSparse::fIcntl[31]

protected

Definition at line 49 of file TDecompSparse.h.

fIkeep

TArrayI TDecompSparse::fIkeep

protected

Definition at line 57 of file TDecompSparse.h.

fInfo

Int_t TDecompSparse::fInfo[21]

protected

Definition at line 51 of file TDecompSparse.h.

fIPessimism

Double_t TDecompSparse::fIPessimism

protected

Definition at line 65 of file TDecompSparse.h.

fIw

TArrayI TDecompSparse::fIw

protected

Definition at line 58 of file TDecompSparse.h.

fIw1

TArrayI TDecompSparse::fIw1

protected

Definition at line 59 of file TDecompSparse.h.

fIw2

TArrayI TDecompSparse::fIw2

protected

Definition at line 60 of file TDecompSparse.h.

fMaxfrt

Int_t TDecompSparse::fMaxfrt

protected

Definition at line 62 of file TDecompSparse.h.

fNnonZeros

Int_t TDecompSparse::fNnonZeros

protected

Definition at line 71 of file TDecompSparse.h.

fNrows

Int_t TDecompSparse::fNrows

protected

Definition at line 70 of file TDecompSparse.h.

fNsteps

Int_t TDecompSparse::fNsteps

protected

Definition at line 61 of file TDecompSparse.h.

fPrecision

Double_t TDecompSparse::fPrecision

protected

Definition at line 53 of file TDecompSparse.h.

fRowFact

TArrayI TDecompSparse::fRowFact

protected

Definition at line 74 of file TDecompSparse.h.

fRPessimism

Double_t TDecompSparse::fRPessimism

protected

Definition at line 66 of file TDecompSparse.h.

fVerbose

Int_t TDecompSparse::fVerbose

protected

Definition at line 47 of file TDecompSparse.h.

fW

TArrayD TDecompSparse::fW

protected

Definition at line 63 of file TDecompSparse.h.

Libraries for TDecompSparse:

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

• math/matrix/inc/TDecompSparse.h
• math/matrix/src/TDecompSparse.cxx