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Reference Guide
TMatrixTSym< Element > Class Template Reference

template<class Element>
class TMatrixTSym< Element >

TMatrixTSym.

Template class of a symmetric matrix in the linear algebra package.

See The ROOT Matrix Linear Algebra classes. for the documentation of the linear algebra package.

Note that in this implementation both matrix element m[i][j] and m[j][i] are updated and stored in memory . However, when making the object persistent only the upper right triangle is stored .

Definition at line 22 of file TMatrixDSymfwd.h.

Public Types

enum  { kWorkMax = 100 }
 
enum  EMatrixCreatorsOp1 {
  kZero, kUnit, kTransposed, kInverted,
  kAtA
}
 
enum  EMatrixCreatorsOp2 { kPlus, kMinus }
 
- Public Types inherited from TObject
enum  {
  kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kInconsistent = 0x08000000,
  kBitMask = 0x00ffffff
}
 
enum  { kSingleKey = BIT(0), kOverwrite = BIT(1), kWriteDelete = BIT(2) }
 
enum  EDeprecatedStatusBits { kObjInCanvas = BIT(3) }
 
enum  EStatusBits {
  kCanDelete = BIT(0), kMustCleanup = BIT(3), kIsReferenced = BIT(4), kHasUUID = BIT(5),
  kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13)
}
 

Public Member Functions

 TMatrixTSym ()
 
 TMatrixTSym (Int_t nrows)
 
 TMatrixTSym (Int_t row_lwb, Int_t row_upb)
 
 TMatrixTSym (Int_t nrows, const Element *data, Option_t *option="")
 option= More...
 
 TMatrixTSym (Int_t row_lwb, Int_t row_upb, const Element *data, Option_t *option="")
 array elements are copied More...
 
 TMatrixTSym (const TMatrixTSym< Element > &another)
 
template<class Element2 >
 TMatrixTSym (const TMatrixTSym< Element2 > &another)
 
 TMatrixTSym (EMatrixCreatorsOp1 op, const TMatrixTSym< Element > &prototype)
 Create a matrix applying a specific operation to the prototype. More...
 
 TMatrixTSym (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype)
 
 TMatrixTSym (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b)
 
 TMatrixTSym (const TMatrixTSymLazy< Element > &lazy_constructor)
 
virtual ~TMatrixTSym ()
 
TMatrixTBase< Element > & Apply (const TElementActionT< Element > &action)
 Apply action to each matrix element. More...
 
TMatrixTBase< Element > & Apply (const TElementPosActionT< Element > &action)
 Apply action to each element of the matrix. More...
 
template<>
TClassClass ()
 
virtual void Clear (Option_t *="")
 
virtual Double_t Determinant () const
 
virtual void Determinant (Double_t &d1, Double_t &d2) const
 
const TMatrixT< Element > EigenVectors (TVectorT< Element > &eigenValues) const
 Return a matrix containing the eigen-vectors ordered by descending eigen-values. More...
 
virtual const Int_tGetColIndexArray () const
 
virtual Int_tGetColIndexArray ()
 
virtual const Element * GetMatrixArray () const
 
virtual Element * GetMatrixArray ()
 
virtual const Int_tGetRowIndexArray () const
 
virtual Int_tGetRowIndexArray ()
 
TMatrixTSym< Element > & GetSub (Int_t row_lwb, Int_t row_upb, TMatrixTSym< Element > &target, Option_t *option="S") const
 Get submatrix [row_lwb..row_upb][row_lwb..row_upb]; The indexing range of the returned matrix depends on the argument option: More...
 
virtual TMatrixTBase< Element > & GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, TMatrixTBase< Element > &target, Option_t *option="S") const
 Get submatrix [row_lwb..row_upb][col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: More...
 
TMatrixTSym< Element > GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Option_t *option="S") const
 
TMatrixTSym< Element > & Invert (Double_t *det=0)
 Invert the matrix and calculate its determinant Notice that the LU decomposition is used instead of Bunch-Kaufman Bunch-Kaufman guarantees a symmetric inverted matrix but is slower than LU . More...
 
TMatrixTSym< Element > & InvertFast (Double_t *det=0)
 Invert the matrix and calculate its determinant. More...
 
virtual Bool_t IsSymmetric () const
 Check whether matrix is symmetric. More...
 
void Minus (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)
 Symmetric matrix summation. Create a matrix C such that C = A + B. More...
 
void Mult (const TMatrixTSym< Element > &a)
 
Element operator() (Int_t rown, Int_t coln) const
 
Element & operator() (Int_t rown, Int_t coln)
 
TMatrixTSym< Element > & operator*= (Element val)
 Multiply every element of the matrix with val. More...
 
TMatrixTSym< Element > & operator+= (Element val)
 Add val to every element of the matrix. More...
 
TMatrixTSymoperator+= (const TMatrixTSym &source)
 Add the source matrix. More...
 
TMatrixTSym< Element > & operator-= (Element val)
 Subtract val from every element of the matrix. More...
 
TMatrixTSymoperator-= (const TMatrixTSym &source)
 Subtract the source matrix. More...
 
TMatrixTSym< Element > & operator= (const TMatrixTSym< Element > &source)
 
TMatrixTSym< Element > & operator= (const TMatrixTSymLazy< Element > &source)
 
template<class Element2 >
TMatrixTSym< Element > & operator= (const TMatrixTSym< Element2 > &source)
 
TMatrixTSym< Element > & operator= (Element val)
 Assign val to every element of the matrix. More...
 
const TMatrixTRow_const< Element > operator[] (Int_t rown) const
 
TMatrixTRow< Element > operator[] (Int_t rown)
 
void Plus (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)
 Symmetric matrix summation. Create a matrix C such that C = A + B. More...
 
virtual TMatrixTBase< Element > & Randomize (Element alpha, Element beta, Double_t &seed)
 randomize matrix element values but keep matrix symmetric More...
 
virtual TMatrixTSym< Element > & RandomizePD (Element alpha, Element beta, Double_t &seed)
 randomize matrix element values but keep matrix symmetric positive definite More...
 
TMatrixTSym< Element > & Rank1Update (const TVectorT< Element > &v, Element alpha=1.0)
 Perform a rank 1 operation on the matrix: A += alpha * v * v^T. More...
 
virtual TMatrixTBase< Element > & ResizeTo (Int_t nrows, Int_t ncols, Int_t=-1)
 Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More...
 
virtual TMatrixTBase< Element > & ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t=-1)
 Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More...
 
TMatrixTBase< Element > & ResizeTo (const TMatrixTSym< Element > &m)
 
virtual TMatrixTBase< Element > & SetColIndexArray (Int_t *)
 
virtual TMatrixTBase< Element > & SetMatrixArray (const Element *data, Option_t *option="")
 Copy array data to matrix . More...
 
virtual TMatrixTBase< Element > & SetRowIndexArray (Int_t *)
 
TMatrixTSym< Element > & SetSub (Int_t row_lwb, const TMatrixTBase< Element > &source)
 Insert matrix source starting at [row_lwb][row_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];. More...
 
virtual TMatrixTBase< Element > & SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source)
 Insert matrix source starting at [row_lwb][col_lwb] in a symmetric fashion, thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];. More...
 
virtual TMatrixTBase< Element > & Shift (Int_t row_shift, Int_t col_shift)
 Shift the row index by adding row_shift and the column index by adding col_shift, respectively. More...
 
TMatrixTSym< Element > & Similarity (const TMatrixT< Element > &n)
 Calculate B * (*this) * B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal . More...
 
TMatrixTSym< Element > & Similarity (const TMatrixTSym< Element > &n)
 Calculate B * (*this) * B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal . More...
 
Element Similarity (const TVectorT< Element > &v) const
 Calculate scalar v * (*this) * v^T. More...
 
TMatrixTSym< Element > & SimilarityT (const TMatrixT< Element > &n)
 Calculate B^T * (*this) * B , final matrix will be (ncolsb x ncolsb) It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric . More...
 
TMatrixTSym< Element > & T ()
 
void TMult (const TMatrixT< Element > &a)
 Create a matrix C such that C = A' * A. More...
 
void TMult (const TMatrixTSym< Element > &a)
 Matrix multiplication, with A symmetric Create a matrix C such that C = A' * A = A * A = A * A'. More...
 
TMatrixTSym< Element > & Transpose (const TMatrixTSym< Element > &source)
 Transpose a matrix. More...
 
TMatrixTSym< Element > & Use (Int_t row_lwb, Int_t row_upb, Element *data)
 
const TMatrixTSym< Element > & Use (Int_t row_lwb, Int_t row_upb, const Element *data) const
 
TMatrixTSym< Element > & Use (Int_t nrows, Element *data)
 
const TMatrixTSym< Element > & Use (Int_t nrows, const Element *data) const
 
TMatrixTSym< Element > & Use (TMatrixTSym< Element > &a)
 
const TMatrixTSym< Element > & Use (const TMatrixTSym< Element > &a) const
 
- Public Member Functions inherited from TMatrixTBase< Element >
 TMatrixTBase ()
 
virtual ~TMatrixTBase ()
 
virtual TMatrixTBase< Element > & Abs ()
 Take an absolute value of a matrix, i.e. apply Abs() to each element. More...
 
template<>
TClassClass ()
 
virtual Element ColNorm () const
 Column matrix norm, MAX{ SUM{ |M(i,j)|, over i}, over j}. More...
 
void Draw (Option_t *option="")
 Draw this matrix The histogram is named "TMatrixT" by default and no title. More...
 
virtual Element E2Norm () const
 Square of the Euclidian norm, SUM{ m(i,j)^2 }. More...
 
virtual void ExtractRow (Int_t row, Int_t col, Element *v, Int_t n=-1) const
 Store in array v, n matrix elements of row rown starting at column coln. More...
 
Int_t GetColLwb () const
 
Int_t GetColUpb () const
 
virtual void GetMatrix2Array (Element *data, Option_t *option="") const
 Copy matrix data to array . More...
 
Int_t GetNcols () const
 
Int_t GetNoElements () const
 
Int_t GetNrows () const
 
Int_t GetRowLwb () const
 
Int_t GetRowUpb () const
 
Element GetTol () const
 
virtual TMatrixTBase< Element > & InsertRow (Int_t row, Int_t col, const Element *v, Int_t n=-1)
 Copy n elements from array v to row rown starting at column coln. More...
 
void Invalidate ()
 
Bool_t IsOwner () const
 
Bool_t IsValid () const
 
void MakeValid ()
 
virtual Element Max () const
 return maximum vector element value More...
 
virtual Element Min () const
 return minimum matrix element value More...
 
virtual Int_t NonZeros () const
 Compute the number of elements != 0.0. More...
 
Element Norm1 () const
 
virtual TMatrixTBase< Element > & NormByDiag (const TVectorT< Element > &v, Option_t *option="D")
 option: More...
 
Element NormInf () const
 
Bool_t operator!= (Element val) const
 Are all matrix elements not equal to val? More...
 
Bool_t operator< (Element val) const
 Are all matrix elements < val? More...
 
Bool_t operator<= (Element val) const
 Are all matrix elements <= val? More...
 
Bool_t operator== (Element val) const
 Are all matrix elements equal to val? More...
 
Bool_t operator> (Element val) const
 Are all matrix elements > val? More...
 
Bool_t operator>= (Element val) const
 Are all matrix elements >= val? More...
 
void Print (Option_t *name="") const
 Print the matrix as a table of elements. More...
 
virtual Element RowNorm () const
 Row matrix norm, MAX{ SUM{ |M(i,j)|, over j}, over i}. More...
 
Element SetTol (Element tol)
 
virtual TMatrixTBase< Element > & Sqr ()
 Square each element of the matrix. More...
 
virtual TMatrixTBase< Element > & Sqrt ()
 Take square root of all elements. More...
 
virtual Element Sum () const
 Compute sum of elements. More...
 
virtual TMatrixTBase< Element > & UnitMatrix ()
 Make a unit matrix (matrix need not be a square one). More...
 
virtual TMatrixTBase< Element > & Zero ()
 Set matrix elements to zero. More...
 
- Public Member Functions inherited from TObject
 TObject ()
 TObject constructor. More...
 
 TObject (const TObject &object)
 TObject copy ctor. More...
 
virtual ~TObject ()
 TObject destructor. More...
 
void AbstractMethod (const char *method) const
 Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...
 
virtual void AppendPad (Option_t *option="")
 Append graphics object to current pad. More...
 
virtual void Browse (TBrowser *b)
 Browse object. May be overridden for another default action. More...
 
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. More...
 
virtual const char * ClassName () const
 Returns name of class to which the object belongs. More...
 
virtual TObjectClone (const char *newname="") const
 Make a clone of an object using the Streamer facility. More...
 
virtual Int_t Compare (const TObject *obj) const
 Compare abstract method. More...
 
virtual void Copy (TObject &object) const
 Copy this to obj. More...
 
virtual void Delete (Option_t *option="")
 Delete this object. More...
 
virtual Int_t DistancetoPrimitive (Int_t px, Int_t py)
 Computes distance from point (px,py) to the object. More...
 
virtual void DrawClass () const
 Draw class inheritance tree of the class to which this object belongs. More...
 
virtual TObjectDrawClone (Option_t *option="") const
 Draw a clone of this object in the current selected pad for instance with: gROOT->SetSelectedPad(gPad). More...
 
virtual void Dump () const
 Dump contents of object on stdout. More...
 
virtual void Error (const char *method, const char *msgfmt,...) const
 Issue error message. More...
 
virtual void Execute (const char *method, const char *params, Int_t *error=0)
 Execute method on this object with the given parameter string, e.g. More...
 
virtual void Execute (TMethod *method, TObjArray *params, Int_t *error=0)
 Execute method on this object with parameters stored in the TObjArray. More...
 
virtual void ExecuteEvent (Int_t event, Int_t px, Int_t py)
 Execute action corresponding to an event at (px,py). More...
 
virtual void Fatal (const char *method, const char *msgfmt,...) const
 Issue fatal error message. More...
 
virtual TObjectFindObject (const char *name) const
 Must be redefined in derived classes. More...
 
virtual TObjectFindObject (const TObject *obj) const
 Must be redefined in derived classes. More...
 
virtual Option_tGetDrawOption () const
 Get option used by the graphics system to draw this object. More...
 
virtual const char * GetIconName () const
 Returns mime type name of object. More...
 
virtual const char * GetName () const
 Returns name of object. More...
 
virtual char * GetObjectInfo (Int_t px, Int_t py) const
 Returns string containing info about the object at position (px,py). More...
 
virtual Option_tGetOption () const
 
virtual const char * GetTitle () const
 Returns title of object. More...
 
virtual UInt_t GetUniqueID () const
 Return the unique object id. More...
 
virtual Bool_t HandleTimer (TTimer *timer)
 Execute action in response of a timer timing out. More...
 
virtual ULong_t Hash () const
 Return hash value for this object. More...
 
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. More...
 
virtual void Info (const char *method, const char *msgfmt,...) const
 Issue info message. More...
 
virtual Bool_t InheritsFrom (const char *classname) const
 Returns kTRUE if object inherits from class "classname". More...
 
virtual Bool_t InheritsFrom (const TClass *cl) const
 Returns kTRUE if object inherits from TClass cl. More...
 
virtual void Inspect () const
 Dump contents of this object in a graphics canvas. More...
 
void InvertBit (UInt_t f)
 
virtual Bool_t IsEqual (const TObject *obj) const
 Default equal comparison (objects are equal if they have the same address in memory). More...
 
virtual Bool_t IsFolder () const
 Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...
 
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. More...
 
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). More...
 
virtual Bool_t Notify ()
 This method must be overridden to handle object notification. More...
 
void Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const
 Use this method to declare a method obsolete. More...
 
void operator delete (void *ptr)
 Operator delete. More...
 
void operator delete[] (void *ptr)
 Operator delete []. More...
 
voidoperator new (size_t sz)
 
voidoperator new (size_t sz, void *vp)
 
voidoperator new[] (size_t sz)
 
voidoperator new[] (size_t sz, void *vp)
 
TObjectoperator= (const TObject &rhs)
 TObject assignment operator. More...
 
virtual void Paint (Option_t *option="")
 This method must be overridden if a class wants to paint itself. More...
 
virtual void Pop ()
 Pop on object drawn in a pad to the top of the display list. More...
 
virtual Int_t Read (const char *name)
 Read contents of object with specified name from the current directory. More...
 
virtual void RecursiveRemove (TObject *obj)
 Recursively remove this object from a list. More...
 
void ResetBit (UInt_t f)
 
virtual void SaveAs (const char *filename="", Option_t *option="") const
 Save this object in the file specified by filename. More...
 
virtual void SavePrimitive (std::ostream &out, Option_t *option="")
 Save a primitive as a C++ statement(s) on output stream "out". More...
 
void SetBit (UInt_t f, Bool_t set)
 Set or unset the user status bits as specified in f. More...
 
void SetBit (UInt_t f)
 
virtual void SetDrawOption (Option_t *option="")
 Set drawing option for object. More...
 
virtual void SetUniqueID (UInt_t uid)
 Set the unique object id. More...
 
virtual void SysError (const char *method, const char *msgfmt,...) const
 Issue system error message. More...
 
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. More...
 
virtual void Warning (const char *method, const char *msgfmt,...) const
 Issue warning message. More...
 
virtual Int_t Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
 Write this object to the current directory. More...
 
virtual Int_t Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
 Write this object to the current directory. More...
 

Protected Member Functions

void Allocate (Int_t nrows, Int_t ncols, Int_t row_lwb=0, Int_t col_lwb=0, Int_t init=0, Int_t=-1)
 Allocate new matrix. More...
 
void Delete_m (Int_t size, Element *&)
 delete data pointer m, if it was assigned on the heap More...
 
Int_t Memcpy_m (Element *newp, const Element *oldp, Int_t copySize, Int_t newSize, Int_t oldSize)
 copy copySize doubles from *oldp to *newp . More...
 
Element * New_m (Int_t size)
 return data pointer . More...
 
- 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). More...
 
void MakeZombie ()
 

Protected Attributes

Element fDataStack [TMatrixTBase< Element >::kSizeMax]
 
Element * fElements
 data container More...
 
- Protected Attributes inherited from TMatrixTBase< Element >
Int_t fColLwb
 
Bool_t fIsOwner
 
Int_t fNcols
 
Int_t fNelems
 
Int_t fNrowIndex
 
Int_t fNrows
 
Int_t fRowLwb
 
Element fTol
 

Additional Inherited Members

- Static Public Member Functions inherited from TMatrixTBase< Element >
static Element & NaNValue ()
 
- Static Public Member Functions inherited from TObject
static Long_t GetDtorOnly ()
 Return destructor only flag. More...
 
static Bool_t GetObjectStat ()
 Get status of object stat flag. More...
 
static void SetDtorOnly (void *obj)
 Set destructor only flag. More...
 
static void SetObjectStat (Bool_t stat)
 Turn on/off tracking of objects in the TObjectTable. More...
 
- Protected Types inherited from TMatrixTBase< Element >
enum  { kSizeMax = 25 }
 
enum  { kWorkMax = 100 }
 
enum  EMatrixStatusBits { kStatus = BIT(14) }
 
- Static Protected Member Functions inherited from TMatrixTBase< Element >
static void DoubleLexSort (Int_t n, Int_t *first, Int_t *second, Element *data)
 default kTRUE, when Use array kFALSE More...
 
static void IndexedLexSort (Int_t n, Int_t *first, Int_t swapFirst, Int_t *second, Int_t swapSecond, Int_t *index)
 Lexical sort on array data using indices first and second. More...
 

#include <TMatrixDSymfwd.h>

Inheritance diagram for TMatrixTSym< Element >:
[legend]

Member Enumeration Documentation

◆ anonymous enum

template<class Element>
anonymous enum
Enumerator
kWorkMax 

Definition at line 50 of file TMatrixTSym.h.

◆ EMatrixCreatorsOp1

template<class Element>
enum TMatrixTSym::EMatrixCreatorsOp1
Enumerator
kZero 
kUnit 
kTransposed 
kInverted 
kAtA 

Definition at line 51 of file TMatrixTSym.h.

◆ EMatrixCreatorsOp2

template<class Element>
enum TMatrixTSym::EMatrixCreatorsOp2
Enumerator
kPlus 
kMinus 

Definition at line 52 of file TMatrixTSym.h.

Constructor & Destructor Documentation

◆ TMatrixTSym() [1/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( )
inline

Definition at line 54 of file TMatrixTSym.h.

◆ TMatrixTSym() [2/11]

template<class Element >
TMatrixTSym< Element >::TMatrixTSym ( Int_t  nrows)
explicit

Definition at line 42 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [3/11]

template<class Element >
TMatrixTSym< Element >::TMatrixTSym ( Int_t  row_lwb,
Int_t  row_upb 
)

Definition at line 50 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [4/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( Int_t  no_rows,
const Element *  elements,
Option_t option = "" 
)

option=

  • "F": array elements contains the matrix stored column-wise like in Fortran, so a[i,j] = elements[i+no_rows*j],
  • else it is supposed that array elements are stored row-wise a[i,j] = elements[i*no_cols+j]

array elements are copied

Definition at line 66 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [5/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( Int_t  row_lwb,
Int_t  row_upb,
const Element *  data,
Option_t option = "" 
)

array elements are copied

Definition at line 79 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [6/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( const TMatrixTSym< Element > &  another)

Definition at line 92 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [7/11]

template<class Element>
template<class Element2 >
TMatrixTSym< Element >::TMatrixTSym ( const TMatrixTSym< Element2 > &  another)
inline

Definition at line 60 of file TMatrixTSym.h.

◆ TMatrixTSym() [8/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( EMatrixCreatorsOp1  op,
const TMatrixTSym< Element > &  prototype 
)

Create a matrix applying a specific operation to the prototype.

Example: TMatrixTSym<Element> a(10,12); ...; TMatrixTSym<Element> b(TMatrixT::kTransposed, a); Supported operations are: kZero, kUnit, kTransposed, kInverted and kAtA.

Definition at line 105 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [9/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( EMatrixCreatorsOp1  op,
const TMatrixT< Element > &  prototype 
)

Definition at line 154 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [10/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( const TMatrixTSym< Element > &  a,
EMatrixCreatorsOp2  op,
const TMatrixTSym< Element > &  b 
)

Definition at line 173 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [11/11]

template<class Element>
TMatrixTSym< Element >::TMatrixTSym ( const TMatrixTSymLazy< Element > &  lazy_constructor)

Definition at line 201 of file TMatrixTSym.cxx.

◆ ~TMatrixTSym()

template<class Element>
virtual TMatrixTSym< Element >::~TMatrixTSym ( )
inlinevirtual

Definition at line 72 of file TMatrixTSym.h.

Member Function Documentation

◆ Allocate()

template<class Element >
void TMatrixTSym< Element >::Allocate ( Int_t  no_rows,
Int_t  no_cols,
Int_t  row_lwb = 0,
Int_t  col_lwb = 0,
Int_t  init = 0,
Int_t  = -1 
)
protected

Allocate new matrix.

Arguments are number of rows, columns, row lowerbound (0 default) and column lowerbound (0 default).

Definition at line 275 of file TMatrixTSym.cxx.

◆ Apply() [1/2]

template<class Element>
TMatrixTBase< Element > & TMatrixTSym< Element >::Apply ( const TElementActionT< Element > &  action)
virtual

Apply action to each matrix element.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1554 of file TMatrixTSym.cxx.

◆ Apply() [2/2]

template<class Element>
TMatrixTBase< Element > & TMatrixTSym< Element >::Apply ( const TElementPosActionT< Element > &  action)
virtual

Apply action to each element of the matrix.

To action the location of the current element is passed.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1581 of file TMatrixTSym.cxx.

◆ Class()

template<>
TClass * TMatrixTSym< double >::Class ( )

◆ Clear()

template<class Element>
virtual void TMatrixTSym< Element >::Clear ( Option_t = "")
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 92 of file TMatrixTSym.h.

◆ Delete_m()

template<class Element>
void TMatrixTSym< Element >::Delete_m ( Int_t  size,
Element *&  m 
)
protected

delete data pointer m, if it was assigned on the heap

Definition at line 216 of file TMatrixTSym.cxx.

◆ Determinant() [1/2]

template<class Element >
Double_t TMatrixTSym< Element >::Determinant ( ) const
virtual

Reimplemented from TMatrixTBase< Element >.

Definition at line 936 of file TMatrixTSym.cxx.

◆ Determinant() [2/2]

template<class Element >
void TMatrixTSym< Element >::Determinant ( Double_t d1,
Double_t d2 
) const
virtual

Reimplemented from TMatrixTBase< Element >.

Definition at line 948 of file TMatrixTSym.cxx.

◆ EigenVectors()

template<class Element>
const TMatrixT< Element > TMatrixTSym< Element >::EigenVectors ( TVectorT< Element > &  eigenValues) const

Return a matrix containing the eigen-vectors ordered by descending eigen-values.

For full functionality use TMatrixDSymEigen .

Definition at line 1682 of file TMatrixTSym.cxx.

◆ GetColIndexArray() [1/2]

template<class Element>
virtual const Int_t* TMatrixTSym< Element >::GetColIndexArray ( ) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 86 of file TMatrixTSym.h.

◆ GetColIndexArray() [2/2]

template<class Element>
virtual Int_t* TMatrixTSym< Element >::GetColIndexArray ( )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 87 of file TMatrixTSym.h.

◆ GetMatrixArray() [1/2]

template<class Element >
const Element * TMatrixTSym< Element >::GetMatrixArray ( ) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 189 of file TMatrixTSym.h.

◆ GetMatrixArray() [2/2]

template<class Element >
Element * TMatrixTSym< Element >::GetMatrixArray ( )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 190 of file TMatrixTSym.h.

◆ GetRowIndexArray() [1/2]

template<class Element>
virtual const Int_t* TMatrixTSym< Element >::GetRowIndexArray ( ) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 84 of file TMatrixTSym.h.

◆ GetRowIndexArray() [2/2]

template<class Element>
virtual Int_t* TMatrixTSym< Element >::GetRowIndexArray ( )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 85 of file TMatrixTSym.h.

◆ GetSub() [1/3]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::GetSub ( Int_t  row_lwb,
Int_t  row_upb,
TMatrixTSym< Element > &  target,
Option_t option = "S" 
) const

Get submatrix [row_lwb..row_upb][row_lwb..row_upb]; The indexing range of the returned matrix depends on the argument option:

option == "S" : return [0..row_upb-row_lwb+1][0..row_upb-row_lwb+1] (default) else : return [row_lwb..row_upb][row_lwb..row_upb]

Definition at line 504 of file TMatrixTSym.cxx.

◆ GetSub() [2/3]

template<class Element>
TMatrixTBase< Element > & TMatrixTSym< Element >::GetSub ( Int_t  row_lwb,
Int_t  row_upb,
Int_t  col_lwb,
Int_t  col_upb,
TMatrixTBase< Element > &  target,
Option_t option = "S" 
) const
virtual

Get submatrix [row_lwb..row_upb][col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option:

option == "S" : return [0..row_upb-row_lwb+1][0..col_upb-col_lwb+1] (default) else : return [row_lwb..row_upb][col_lwb..col_upb]

Implements TMatrixTBase< Element >.

Definition at line 570 of file TMatrixTSym.cxx.

◆ GetSub() [3/3]

template<class Element>
TMatrixTSym< Element > TMatrixTSym< Element >::GetSub ( Int_t  row_lwb,
Int_t  row_upb,
Int_t  col_lwb,
Int_t  col_upb,
Option_t option = "S" 
) const
inline

Definition at line 200 of file TMatrixTSym.h.

◆ Invert()

template<class Element >
TMatrixTSym< Element > & TMatrixTSym< Element >::Invert ( Double_t det = 0)

Invert the matrix and calculate its determinant Notice that the LU decomposition is used instead of Bunch-Kaufman Bunch-Kaufman guarantees a symmetric inverted matrix but is slower than LU .

The user can access Bunch-Kaufman through the TDecompBK class .

Definition at line 962 of file TMatrixTSym.cxx.

◆ InvertFast()

template<class Element >
TMatrixTSym< Element > & TMatrixTSym< Element >::InvertFast ( Double_t det = 0)

Invert the matrix and calculate its determinant.

Definition at line 980 of file TMatrixTSym.cxx.

◆ IsSymmetric()

template<class Element>
virtual Bool_t TMatrixTSym< Element >::IsSymmetric ( ) const
inlinevirtual

Check whether matrix is symmetric.

Reimplemented from TMatrixTBase< Element >.

Definition at line 95 of file TMatrixTSym.h.

◆ Memcpy_m()

template<class Element>
Int_t TMatrixTSym< Element >::Memcpy_m ( Element *  newp,
const Element *  oldp,
Int_t  copySize,
Int_t  newSize,
Int_t  oldSize 
)
protected

copy copySize doubles from *oldp to *newp .

However take care of the situation where both pointers are assigned to the same stack space

Definition at line 248 of file TMatrixTSym.cxx.

◆ Minus()

template<class Element>
void TMatrixTSym< Element >::Minus ( const TMatrixTSym< Element > &  a,
const TMatrixTSym< Element > &  b 
)

Symmetric matrix summation. Create a matrix C such that C = A + B.

Definition at line 347 of file TMatrixTSym.cxx.

◆ Mult()

template<class Element>
void TMatrixTSym< Element >::Mult ( const TMatrixTSym< Element > &  a)
inline

Definition at line 77 of file TMatrixTSym.h.

◆ New_m()

template<class Element >
Element * TMatrixTSym< Element >::New_m ( Int_t  size)
protected

return data pointer .

if requested size <= kSizeMax, assign pointer to the stack space

Definition at line 230 of file TMatrixTSym.cxx.

◆ operator()() [1/2]

template<class Element >
Element TMatrixTSym< Element >::operator() ( Int_t  rown,
Int_t  coln 
) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 208 of file TMatrixTSym.h.

◆ operator()() [2/2]

template<class Element >
Element & TMatrixTSym< Element >::operator() ( Int_t  rown,
Int_t  coln 
)
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 224 of file TMatrixTSym.h.

◆ operator*=()

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator*= ( Element  val)

Multiply every element of the matrix with val.

Definition at line 1499 of file TMatrixTSym.cxx.

◆ operator+=() [1/2]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator+= ( Element  val)

Add val to every element of the matrix.

Definition at line 1467 of file TMatrixTSym.cxx.

◆ operator+=() [2/2]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator+= ( const TMatrixTSym< Element > &  source)

Add the source matrix.

Definition at line 1515 of file TMatrixTSym.cxx.

◆ operator-=() [1/2]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator-= ( Element  val)

Subtract val from every element of the matrix.

Definition at line 1483 of file TMatrixTSym.cxx.

◆ operator-=() [2/2]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator-= ( const TMatrixTSym< Element > &  source)

Subtract the source matrix.

Definition at line 1535 of file TMatrixTSym.cxx.

◆ operator=() [1/4]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator= ( const TMatrixTSym< Element > &  source)

Definition at line 1415 of file TMatrixTSym.cxx.

◆ operator=() [2/4]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator= ( const TMatrixTSymLazy< Element > &  source)

Definition at line 1432 of file TMatrixTSym.cxx.

◆ operator=() [3/4]

template<class Element>
template<class Element2 >
TMatrixTSym<Element>& TMatrixTSym< Element >::operator= ( const TMatrixTSym< Element2 > &  source)
inline

Definition at line 144 of file TMatrixTSym.h.

◆ operator=() [4/4]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::operator= ( Element  val)

Assign val to every element of the matrix.

Definition at line 1451 of file TMatrixTSym.cxx.

◆ operator[]() [1/2]

template<class Element>
const TMatrixTRow_const<Element> TMatrixTSym< Element >::operator[] ( Int_t  rown) const
inline

Definition at line 139 of file TMatrixTSym.h.

◆ operator[]() [2/2]

template<class Element>
TMatrixTRow<Element> TMatrixTSym< Element >::operator[] ( Int_t  rown)
inline

Definition at line 140 of file TMatrixTSym.h.

◆ Plus()

template<class Element>
void TMatrixTSym< Element >::Plus ( const TMatrixTSym< Element > &  a,
const TMatrixTSym< Element > &  b 
)

Symmetric matrix summation. Create a matrix C such that C = A + B.

Definition at line 313 of file TMatrixTSym.cxx.

◆ Randomize()

template<class Element>
TMatrixTBase< Element > & TMatrixTSym< Element >::Randomize ( Element  alpha,
Element  beta,
Double_t seed 
)
virtual

randomize matrix element values but keep matrix symmetric

Reimplemented from TMatrixTBase< Element >.

Definition at line 1609 of file TMatrixTSym.cxx.

◆ RandomizePD()

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::RandomizePD ( Element  alpha,
Element  beta,
Double_t seed 
)
virtual

randomize matrix element values but keep matrix symmetric positive definite

Definition at line 1640 of file TMatrixTSym.cxx.

◆ Rank1Update()

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Rank1Update ( const TVectorT< Element > &  v,
Element  alpha = 1.0 
)

Perform a rank 1 operation on the matrix: A += alpha * v * v^T.

Definition at line 1064 of file TMatrixTSym.cxx.

◆ ResizeTo() [1/3]

template<class Element >
TMatrixTBase< Element > & TMatrixTSym< Element >::ResizeTo ( Int_t  nrows,
Int_t  ncols,
Int_t  = -1 
)
virtual

Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.

Implements TMatrixTBase< Element >.

Definition at line 772 of file TMatrixTSym.cxx.

◆ ResizeTo() [2/3]

template<class Element >
TMatrixTBase< Element > & TMatrixTSym< Element >::ResizeTo ( Int_t  row_lwb,
Int_t  row_upb,
Int_t  col_lwb,
Int_t  col_upb,
Int_t  = -1 
)
virtual

Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.

Implements TMatrixTBase< Element >.

Definition at line 842 of file TMatrixTSym.cxx.

◆ ResizeTo() [3/3]

template<class Element>
TMatrixTBase<Element>& TMatrixTSym< Element >::ResizeTo ( const TMatrixTSym< Element > &  m)
inline

Definition at line 118 of file TMatrixTSym.h.

◆ SetColIndexArray()

template<class Element>
virtual TMatrixTBase<Element>& TMatrixTSym< Element >::SetColIndexArray ( Int_t )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 90 of file TMatrixTSym.h.

◆ SetMatrixArray()

template<class Element>
TMatrixTBase< Element > & TMatrixTSym< Element >::SetMatrixArray ( const Element *  data,
Option_t option = "" 
)
virtual

Copy array data to matrix .

It is assumed that array is of size >= fNelems (=)))) fNrows*fNcols option indicates how the data is stored in the array: option =

  • 'F' : column major (Fortran) m[i][j] = array[i+j*fNrows]
  • else : row major (C) m[i][j] = array[i*fNcols+j] (default)

Reimplemented from TMatrixTBase< Element >.

Definition at line 744 of file TMatrixTSym.cxx.

◆ SetRowIndexArray()

template<class Element>
virtual TMatrixTBase<Element>& TMatrixTSym< Element >::SetRowIndexArray ( Int_t )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 89 of file TMatrixTSym.h.

◆ SetSub() [1/2]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::SetSub ( Int_t  row_lwb,
const TMatrixTBase< Element > &  source 
)

Insert matrix source starting at [row_lwb][row_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];.

Definition at line 637 of file TMatrixTSym.cxx.

◆ SetSub() [2/2]

template<class Element>
TMatrixTBase< Element > & TMatrixTSym< Element >::SetSub ( Int_t  row_lwb,
Int_t  col_lwb,
const TMatrixTBase< Element > &  source 
)
virtual

Insert matrix source starting at [row_lwb][col_lwb] in a symmetric fashion, thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];.

Implements TMatrixTBase< Element >.

Definition at line 687 of file TMatrixTSym.cxx.

◆ Shift()

template<class Element >
TMatrixTBase< Element > & TMatrixTSym< Element >::Shift ( Int_t  row_shift,
Int_t  col_shift 
)
virtual

Shift the row index by adding row_shift and the column index by adding col_shift, respectively.

So [rowLwb..rowUpb][colLwb..colUpb] becomes [rowLwb+row_shift..rowUpb+row_shift][colLwb+col_shift..colUpb+col_shift]

Reimplemented from TMatrixTBase< Element >.

Definition at line 757 of file TMatrixTSym.cxx.

◆ Similarity() [1/3]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Similarity ( const TMatrixT< Element > &  b)

Calculate B * (*this) * B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal .

It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1100 of file TMatrixTSym.cxx.

◆ Similarity() [2/3]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Similarity ( const TMatrixTSym< Element > &  b)

Calculate B * (*this) * B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal .

It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1191 of file TMatrixTSym.cxx.

◆ Similarity() [3/3]

template<class Element>
Element TMatrixTSym< Element >::Similarity ( const TVectorT< Element > &  v) const

Calculate scalar v * (*this) * v^T.

Definition at line 1293 of file TMatrixTSym.cxx.

◆ SimilarityT()

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::SimilarityT ( const TMatrixT< Element > &  b)

Calculate B^T * (*this) * B , final matrix will be (ncolsb x ncolsb) It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1328 of file TMatrixTSym.cxx.

◆ T()

template<class Element>
TMatrixTSym<Element>& TMatrixTSym< Element >::T ( )
inline

Definition at line 127 of file TMatrixTSym.h.

◆ TMult() [1/2]

template<class Element>
void TMatrixTSym< Element >::TMult ( const TMatrixT< Element > &  a)

Create a matrix C such that C = A' * A.

In other words, c[i,j] = SUM{ a[k,i] * a[k,j] }.

Definition at line 382 of file TMatrixTSym.cxx.

◆ TMult() [2/2]

template<class Element>
void TMatrixTSym< Element >::TMult ( const TMatrixTSym< Element > &  a)

Matrix multiplication, with A symmetric Create a matrix C such that C = A' * A = A * A = A * A'.

Definition at line 430 of file TMatrixTSym.cxx.

◆ Transpose()

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Transpose ( const TMatrixTSym< Element > &  source)

Transpose a matrix.

Definition at line 1042 of file TMatrixTSym.cxx.

◆ Use() [1/6]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Use ( Int_t  row_lwb,
Int_t  row_upb,
Element *  data 
)

Definition at line 476 of file TMatrixTSym.cxx.

◆ Use() [2/6]

template<class Element>
const TMatrixTSym<Element>& TMatrixTSym< Element >::Use ( Int_t  row_lwb,
Int_t  row_upb,
const Element *  data 
) const
inline

Definition at line 98 of file TMatrixTSym.h.

◆ Use() [3/6]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Use ( Int_t  nrows,
Element *  data 
)
inline

Definition at line 192 of file TMatrixTSym.h.

◆ Use() [4/6]

template<class Element>
const TMatrixTSym< Element > & TMatrixTSym< Element >::Use ( Int_t  nrows,
const Element *  data 
) const
inline

Definition at line 193 of file TMatrixTSym.h.

◆ Use() [5/6]

template<class Element>
TMatrixTSym< Element > & TMatrixTSym< Element >::Use ( TMatrixTSym< Element > &  a)
inline

Definition at line 195 of file TMatrixTSym.h.

◆ Use() [6/6]

template<class Element>
const TMatrixTSym< Element > & TMatrixTSym< Element >::Use ( const TMatrixTSym< Element > &  a) const
inline

Definition at line 197 of file TMatrixTSym.h.

Member Data Documentation

◆ fDataStack

template<class Element>
Element TMatrixTSym< Element >::fDataStack[TMatrixTBase< Element >::kSizeMax]
protected

Definition at line 38 of file TMatrixTSym.h.

◆ fElements

template<class Element>
Element* TMatrixTSym< Element >::fElements
protected

data container

Definition at line 39 of file TMatrixTSym.h.


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