Back to home page

EIC code displayed by LXR
 
 

    

File indexing completed on 2025-09-15 09:13:04 

0001 // @(#)root/matrix:$Id$
0002 // Authors: Fons Rademakers, Eddy Offermann   Nov 2003
0003 
0004 /*************************************************************************
0005  * Copyright (C) 1995-2000, Rene Brun and Fons Rademakers.               *
0006  * All rights reserved.                                                  *
0007  *                                                                       *
0008  * For the licensing terms see $ROOTSYS/LICENSE.                         *
0009  * For the list of contributors see $ROOTSYS/README/CREDITS.             *
0010  *************************************************************************/
0011 
0012 #ifndef ROOT_TMatrixT
0013 #define ROOT_TMatrixT
0014 
0015 //////////////////////////////////////////////////////////////////////////
0016 //                                                                      //
0017 // TMatrixT                                                             //
0018 //                                                                      //
0019 // Template class of a general matrix in the linear algebra package     //
0020 //                                                                      //
0021 //////////////////////////////////////////////////////////////////////////
0022 
0023 #include "TMatrixTBase.h"
0024 #include "TMatrixTUtils.h"
0025 
0026 #ifdef CBLAS
0027 #include <vecLib/vBLAS.h>
0028 //#include <cblas.h>
0029 #endif
0030 
0031 #include "Rtypes.h"
0032 #include "TError.h"
0033 
0034 #include <cassert>
0035 
0036 template<class Element> class TMatrixTSym;
0037 template<class Element> class TMatrixTSparse;
0038 template<class Element> class TMatrixTLazy;
0039 
0040 template<class Element> class TMatrixT : public TMatrixTBase<Element> {
0041 
0042 protected:
0043 
0044    Element  fDataStack[TMatrixTBase<Element>::kSizeMax]; //! data container
0045    Element *fElements;                                   //[fNelems] elements themselves
0046 
0047    Element *New_m   (Int_t size);
0048    void     Delete_m(Int_t size,Element*&);
0049    Int_t    Memcpy_m(Element *newp,const Element *oldp,Int_t copySize,
0050                       Int_t newSize,Int_t oldSize);
0051    void     Allocate(Int_t nrows,Int_t ncols,Int_t row_lwb = 0,Int_t col_lwb = 0,Int_t init = 0,
0052                      Int_t /*nr_nonzeros*/ = -1);
0053 
0054 
0055 public:
0056 
0057 
0058    enum {kWorkMax = 100};
0059    enum EMatrixCreatorsOp1 { kZero,kUnit,kTransposed,kInverted,kAtA };
0060    enum EMatrixCreatorsOp2 { kMult,kTransposeMult,kInvMult,kMultTranspose,kPlus,kMinus };
0061 
0062    TMatrixT(): fDataStack(), fElements(nullptr) { }
0063    TMatrixT(Int_t nrows,Int_t ncols);
0064    TMatrixT(Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb);
0065    TMatrixT(Int_t nrows,Int_t ncols,const Element *data,Option_t *option="");
0066    TMatrixT(Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,const Element *data,Option_t *option="");
0067    TMatrixT(const TMatrixT      <Element> &another);
0068    TMatrixT(const TMatrixTSym   <Element> &another);
0069    TMatrixT(const TMatrixTSparse<Element> &another);
0070    template <class Element2> TMatrixT(const TMatrixT<Element2> &another): fElements(nullptr)
0071    {
0072       R__ASSERT(another.IsValid());
0073       Allocate(another.GetNrows(),another.GetNcols(),another.GetRowLwb(),another.GetColLwb());
0074       *this = another;
0075    }
0076 
0077    TMatrixT(EMatrixCreatorsOp1 op,const TMatrixT<Element> &prototype);
0078    TMatrixT(const TMatrixT    <Element> &a,EMatrixCreatorsOp2 op,const TMatrixT   <Element> &b);
0079    TMatrixT(const TMatrixT    <Element> &a,EMatrixCreatorsOp2 op,const TMatrixTSym<Element> &b);
0080    TMatrixT(const TMatrixTSym <Element> &a,EMatrixCreatorsOp2 op,const TMatrixT   <Element> &b);
0081    TMatrixT(const TMatrixTSym <Element> &a,EMatrixCreatorsOp2 op,const TMatrixTSym<Element> &b);
0082    TMatrixT(const TMatrixTLazy<Element> &lazy_constructor);
0083 
0084    ~TMatrixT() override { TMatrixT::Clear(); }
0085 
0086    // Elementary constructors
0087 
0088    void Plus (const TMatrixT   <Element> &a,const TMatrixT   <Element> &b);
0089    void Plus (const TMatrixT   <Element> &a,const TMatrixTSym<Element> &b);
0090    void Plus (const TMatrixTSym<Element> &a,const TMatrixT   <Element> &b) { Plus(b,a); }
0091 
0092    void Minus(const TMatrixT   <Element> &a,const TMatrixT   <Element> &b);
0093    void Minus(const TMatrixT   <Element> &a,const TMatrixTSym<Element> &b);
0094    void Minus(const TMatrixTSym<Element> &a,const TMatrixT   <Element> &b) { Minus(b,a); }
0095 
0096    void Mult (const TMatrixT   <Element> &a,const TMatrixT   <Element> &b);
0097    void Mult (const TMatrixT   <Element> &a,const TMatrixTSym<Element> &b);
0098    void Mult (const TMatrixTSym<Element> &a,const TMatrixT   <Element> &b);
0099    void Mult (const TMatrixTSym<Element> &a,const TMatrixTSym<Element> &b);
0100 
0101    void TMult(const TMatrixT   <Element> &a,const TMatrixT   <Element> &b);
0102    void TMult(const TMatrixT   <Element> &a,const TMatrixTSym<Element> &b);
0103    void TMult(const TMatrixTSym<Element> &a,const TMatrixT   <Element> &b) { Mult(a,b); }
0104    void TMult(const TMatrixTSym<Element> &a,const TMatrixTSym<Element> &b) { Mult(a,b); }
0105 
0106    void MultT(const TMatrixT   <Element> &a,const TMatrixT   <Element> &b);
0107    void MultT(const TMatrixT   <Element> &a,const TMatrixTSym<Element> &b) { Mult(a,b); }
0108    void MultT(const TMatrixTSym<Element> &a,const TMatrixT   <Element> &b);
0109    void MultT(const TMatrixTSym<Element> &a,const TMatrixTSym<Element> &b) { Mult(a,b); }
0110 
0111    inline void SetElement(Int_t rown, Int_t coln, Element val);
0112 
0113    const Element *GetMatrixArray  () const override;
0114          Element *GetMatrixArray  () override;
0115    const Int_t   *GetRowIndexArray() const override { return nullptr; }
0116          Int_t   *GetRowIndexArray() override       { return nullptr; }
0117    const Int_t   *GetColIndexArray() const override { return nullptr; }
0118          Int_t   *GetColIndexArray() override       { return nullptr; }
0119 
0120          TMatrixTBase<Element> &SetRowIndexArray(Int_t * /*data*/) override { MayNotUse("SetRowIndexArray(Int_t *)"); return *this; }
0121          TMatrixTBase<Element> &SetColIndexArray(Int_t * /*data*/) override { MayNotUse("SetColIndexArray(Int_t *)"); return *this; }
0122 
0123    void Clear(Option_t * /*option*/ ="") override
0124    {
0125       if (this->fIsOwner)
0126          Delete_m(this->fNelems, fElements);
0127       else
0128          fElements = nullptr;
0129       this->fNelems = 0;
0130    }
0131 
0132            TMatrixT    <Element> &Use     (Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,Element *data);
0133    const   TMatrixT    <Element> &Use     (Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,const Element *data) const
0134                                             { return (const TMatrixT<Element>&)
0135                                                      ((const_cast<TMatrixT<Element> *>(this))->Use(row_lwb,row_upb,col_lwb,col_upb, const_cast<Element *>(data))); }
0136            TMatrixT    <Element> &Use     (Int_t nrows,Int_t ncols,Element *data);
0137    const   TMatrixT    <Element> &Use     (Int_t nrows,Int_t ncols,const Element *data) const;
0138            TMatrixT    <Element> &Use     (TMatrixT<Element> &a);
0139    const   TMatrixT    <Element> &Use     (const TMatrixT<Element> &a) const;
0140 
0141    TMatrixTBase<Element> &GetSub  (Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,
0142                                            TMatrixTBase<Element> &target,Option_t *option="S") const override;
0143            TMatrixT    <Element>  GetSub  (Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,Option_t *option="S") const;
0144    TMatrixTBase<Element> &SetSub  (Int_t row_lwb,Int_t col_lwb,const TMatrixTBase<Element> &source) override;
0145 
0146    TMatrixTBase<Element> &ResizeTo(Int_t nrows,Int_t ncols,Int_t /*nr_nonzeros*/ =-1) override;
0147    TMatrixTBase<Element> &ResizeTo(Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,Int_t /*nr_nonzeros*/ =-1) override;
0148    inline  TMatrixTBase<Element> &ResizeTo(const TMatrixT<Element> &m) {
0149                                             return ResizeTo(m.GetRowLwb(),m.GetRowUpb(),m.GetColLwb(),m.GetColUpb());
0150                                  }
0151 
0152    Double_t Determinant  () const override;
0153    void     Determinant  (Double_t &d1,Double_t &d2) const override;
0154 
0155            TMatrixT<Element> &Invert      (Double_t *det = nullptr);
0156            TMatrixT<Element> &InvertFast  (Double_t *det = nullptr);
0157            TMatrixT<Element> &Transpose   (const TMatrixT<Element> &source);
0158    inline  TMatrixT<Element> &T           () { return this->Transpose(*this); }
0159            TMatrixT<Element> &Rank1Update (const TVectorT<Element> &v,Element alpha=1.0);
0160            TMatrixT<Element> &Rank1Update (const TVectorT<Element> &v1,const TVectorT<Element> &v2,Element alpha=1.0);
0161            Element            Similarity  (const TVectorT<Element> &v) const;
0162 
0163    TMatrixT<Element> &NormByColumn(const TVectorT<Element> &v,Option_t *option="D");
0164    TMatrixT<Element> &NormByRow   (const TVectorT<Element> &v,Option_t *option="D");
0165 
0166    // Either access a_ij as a(i,j)
0167    inline       Element                     operator()(Int_t rown,Int_t coln) const override;
0168    inline       Element                    &operator()(Int_t rown,Int_t coln) override;
0169 
0170    // or as a[i][j]
0171    inline const TMatrixTRow_const<Element>  operator[](Int_t rown) const { return TMatrixTRow_const<Element>(*this,rown); }
0172    inline       TMatrixTRow      <Element>  operator[](Int_t rown)       { return TMatrixTRow      <Element>(*this,rown); }
0173 
0174    TMatrixT<Element> &operator= (const TMatrixT      <Element> &source);
0175    TMatrixT<Element> &operator= (const TMatrixTSym   <Element> &source);
0176    TMatrixT<Element> &operator= (const TMatrixTSparse<Element> &source);
0177    TMatrixT<Element> &operator= (const TMatrixTLazy  <Element> &source);
0178    template <class Element2> TMatrixT<Element> &operator= (const TMatrixT<Element2> &source)
0179    {
0180       if (!AreCompatible(*this,source)) {
0181          Error("operator=(const TMatrixT2 &)","matrices not compatible");
0182          return *this;
0183       }
0184 
0185      TObject::operator=(source);
0186      const Element2 * const ps = source.GetMatrixArray();
0187            Element  * const pt = this->GetMatrixArray();
0188      for (Int_t i = 0; i < this->fNelems; i++)
0189         pt[i] = ps[i];
0190      this->fTol = source.GetTol();
0191      return *this;
0192    }
0193 
0194    TMatrixT<Element> &operator= (Element val);
0195    TMatrixT<Element> &operator-=(Element val);
0196    TMatrixT<Element> &operator+=(Element val);
0197    TMatrixT<Element> &operator*=(Element val);
0198 
0199    TMatrixT<Element> &operator+=(const TMatrixT   <Element> &source);
0200    TMatrixT<Element> &operator+=(const TMatrixTSym<Element> &source);
0201    TMatrixT<Element> &operator-=(const TMatrixT   <Element> &source);
0202    TMatrixT<Element> &operator-=(const TMatrixTSym<Element> &source);
0203 
0204    TMatrixT<Element> &operator*=(const TMatrixT            <Element> &source);
0205    TMatrixT<Element> &operator*=(const TMatrixTSym         <Element> &source);
0206    TMatrixT<Element> &operator*=(const TMatrixTDiag_const  <Element> &diag);
0207    TMatrixT<Element> &operator/=(const TMatrixTDiag_const  <Element> &diag);
0208    TMatrixT<Element> &operator*=(const TMatrixTRow_const   <Element> &row);
0209    TMatrixT<Element> &operator/=(const TMatrixTRow_const   <Element> &row);
0210    TMatrixT<Element> &operator*=(const TMatrixTColumn_const<Element> &col);
0211    TMatrixT<Element> &operator/=(const TMatrixTColumn_const<Element> &col);
0212 
0213    const TMatrixT<Element> EigenVectors(TVectorT<Element> &eigenValues) const;
0214 
0215    ClassDefOverride(TMatrixT,4) // Template of General Matrix class
0216 };
0217 
0218 // When building with -fmodules, it instantiates all pending instantiations,
0219 // instead of delaying them until the end of the translation unit.
0220 // We 'got away with' probably because the use and the definition of the
0221 // explicit specialization do not occur in the same TU.
0222 //
0223 // In case we are building with -fmodules, we need to forward declare the
0224 // specialization in order to compile the dictionary G__Matrix.cxx.
0225 template <> TClass *TMatrixT<double>::Class();
0226 
0227 
0228 template <class Element> inline const Element           *TMatrixT<Element>::GetMatrixArray() const { return fElements; }
0229 template <class Element> inline       Element           *TMatrixT<Element>::GetMatrixArray()       { return fElements; }
0230 
0231 template <class Element> inline       TMatrixT<Element> &TMatrixT<Element>::Use           (Int_t nrows,Int_t ncols,Element *data)
0232                                                                                           { return Use(0,nrows-1,0,ncols-1,data); }
0233 template <class Element> inline const TMatrixT<Element> &TMatrixT<Element>::Use           (Int_t nrows,Int_t ncols,const Element *data) const
0234                                                                                           { return Use(0,nrows-1,0,ncols-1,data); }
0235 template <class Element> inline       TMatrixT<Element> &TMatrixT<Element>::Use           (TMatrixT &a)
0236                                                                                           {
0237                                                                                             R__ASSERT(a.IsValid());
0238                                                                                             return Use(a.GetRowLwb(),a.GetRowUpb(),
0239                                                                                                        a.GetColLwb(),a.GetColUpb(),a.GetMatrixArray());
0240                                                                                           }
0241 template <class Element> inline const TMatrixT<Element> &TMatrixT<Element>::Use           (const TMatrixT &a) const
0242                                                                                           {
0243                                                                                             R__ASSERT(a.IsValid());
0244                                                                                             return Use(a.GetRowLwb(),a.GetRowUpb(),
0245                                                                                                        a.GetColLwb(),a.GetColUpb(),a.GetMatrixArray());
0246                                                                                           }
0247 
0248 template <class Element> inline       TMatrixT<Element>  TMatrixT<Element>::GetSub        (Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb,
0249                                                                                            Option_t *option) const
0250                                                                                           {
0251                                                                                             TMatrixT tmp;
0252                                                                                             this->GetSub(row_lwb,row_upb,col_lwb,col_upb,tmp,option);
0253                                                                                             return tmp;
0254                                                                                           }
0255 
0256 template <class Element> inline Element TMatrixT<Element>::operator()(Int_t rown,Int_t coln) const
0257 {
0258    R__ASSERT(this->IsValid());
0259    const Int_t arown = rown-this->fRowLwb;
0260    const Int_t acoln = coln-this->fColLwb;
0261    if (arown >= this->fNrows || arown < 0) {
0262       Error("operator()","Request row(%d) outside matrix range of %d - %d",rown,this->fRowLwb,this->fRowLwb+this->fNrows);
0263       return TMatrixTBase<Element>::NaNValue();
0264    }
0265    if (acoln >= this->fNcols || acoln < 0) {
0266       Error("operator()","Request column(%d) outside matrix range of %d - %d",coln,this->fColLwb,this->fColLwb+this->fNcols);
0267       return TMatrixTBase<Element>::NaNValue();
0268 
0269    }
0270    return (fElements[arown*this->fNcols+acoln]);
0271 }
0272 
0273 template <class Element> inline Element &TMatrixT<Element>::operator()(Int_t rown,Int_t coln)
0274 {
0275    R__ASSERT(this->IsValid());
0276    const Int_t arown = rown-this->fRowLwb;
0277    const Int_t acoln = coln-this->fColLwb;
0278    if (arown >= this->fNrows || arown < 0) {
0279       Error("operator()","Request row(%d) outside matrix range of %d - %d",rown,this->fRowLwb,this->fRowLwb+this->fNrows);
0280       return TMatrixTBase<Element>::NaNValue();
0281    }
0282    if (acoln >= this->fNcols || acoln < 0) {
0283       Error("operator()","Request column(%d) outside matrix range of %d - %d",coln,this->fColLwb,this->fColLwb+this->fNcols);
0284       return TMatrixTBase<Element>::NaNValue();
0285    }
0286    return (fElements[arown*this->fNcols+acoln]);
0287 }
0288 
0289 ////////////////////////////////////////////////////////////////////////////////
0290 /// Efficiently sets element (rown,coln) equal to val
0291 /// Index bound checks can be deactivated by defining NDEBUG
0292 
0293 template <class Element>
0294 inline void TMatrixT<Element>::SetElement(Int_t rown, Int_t coln, Element val)
0295 {
0296    assert(this->IsValid());
0297    rown = rown - this->fRowLwb;
0298    coln = coln - this->fColLwb;
0299    assert((rown < this->fNrows && rown >= 0) && "SetElement() error: row index outside matrix range");
0300    assert((coln < this->fNcols && coln >= 0) && "SetElement() error: column index outside matrix range");
0301    fElements[rown * this->fNcols + coln] = val;
0302 }
0303 
0304 inline namespace TMatrixTAutoloadOps {
0305 
0306 template <class Element> TMatrixT<Element>  operator+  (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0307 template <class Element> TMatrixT<Element>  operator+  (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0308 template <class Element> TMatrixT<Element>  operator+  (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0309 template <class Element> TMatrixT<Element>  operator+  (const TMatrixT   <Element> &source ,      Element               val    );
0310 template <class Element> TMatrixT<Element>  operator+  (      Element               val    ,const TMatrixT   <Element> &source );
0311 template <class Element> TMatrixT<Element>  operator-  (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0312 template <class Element> TMatrixT<Element>  operator-  (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0313 template <class Element> TMatrixT<Element>  operator-  (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0314 template <class Element> TMatrixT<Element>  operator-  (const TMatrixT   <Element> &source ,      Element               val    );
0315 template <class Element> TMatrixT<Element>  operator-  (      Element               val    ,const TMatrixT   <Element> &source );
0316 template <class Element> TMatrixT<Element>  operator*  (      Element               val    ,const TMatrixT   <Element> &source );
0317 template <class Element> TMatrixT<Element>  operator*  (const TMatrixT   <Element> &source ,      Element               val    );
0318 template <class Element> TMatrixT<Element>  operator*  (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0319 template <class Element> TMatrixT<Element>  operator*  (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0320 template <class Element> TMatrixT<Element>  operator*  (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0321 template <class Element> TMatrixT<Element>  operator*  (const TMatrixTSym<Element> &source1,const TMatrixTSym<Element> &source2);
0322 // Preventing warnings with -Weffc++ in GCC since overloading the || and && operators was a design choice.
0323 #if (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__) >= 40600
0324 #pragma GCC diagnostic push
0325 #pragma GCC diagnostic ignored "-Weffc++"
0326 #endif
0327 template <class Element> TMatrixT<Element>  operator&& (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0328 template <class Element> TMatrixT<Element>  operator&& (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0329 template <class Element> TMatrixT<Element>  operator&& (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0330 template <class Element> TMatrixT<Element>  operator|| (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0331 template <class Element> TMatrixT<Element>  operator|| (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0332 template <class Element> TMatrixT<Element>  operator|| (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0333 #if (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__) >= 40600
0334 #pragma GCC diagnostic pop
0335 #endif
0336 template <class Element> TMatrixT<Element>  operator>  (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0337 template <class Element> TMatrixT<Element>  operator>  (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0338 template <class Element> TMatrixT<Element>  operator>  (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0339 template <class Element> TMatrixT<Element>  operator>= (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0340 template <class Element> TMatrixT<Element>  operator>= (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0341 template <class Element> TMatrixT<Element>  operator>= (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0342 template <class Element> TMatrixT<Element>  operator<= (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0343 template <class Element> TMatrixT<Element>  operator<= (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0344 template <class Element> TMatrixT<Element>  operator<= (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0345 template <class Element> TMatrixT<Element>  operator<  (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0346 template <class Element> TMatrixT<Element>  operator<  (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0347 template <class Element> TMatrixT<Element>  operator<  (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0348 template <class Element> TMatrixT<Element>  operator!= (const TMatrixT   <Element> &source1,const TMatrixT   <Element> &source2);
0349 template <class Element> TMatrixT<Element>  operator!= (const TMatrixT   <Element> &source1,const TMatrixTSym<Element> &source2);
0350 template <class Element> TMatrixT<Element>  operator!= (const TMatrixTSym<Element> &source1,const TMatrixT   <Element> &source2);
0351 
0352 template <class Element> TMatrixT<Element> &Add        (TMatrixT<Element> &target,      Element               scalar,const TMatrixT   <Element> &source);
0353 template <class Element> TMatrixT<Element> &Add        (TMatrixT<Element> &target,      Element               scalar,const TMatrixTSym<Element> &source);
0354 template <class Element> TMatrixT<Element> &ElementMult(TMatrixT<Element> &target,const TMatrixT   <Element> &source);
0355 template <class Element> TMatrixT<Element> &ElementMult(TMatrixT<Element> &target,const TMatrixTSym<Element> &source);
0356 template <class Element> TMatrixT<Element> &ElementDiv (TMatrixT<Element> &target,const TMatrixT   <Element> &source);
0357 template <class Element> TMatrixT<Element> &ElementDiv (TMatrixT<Element> &target,const TMatrixTSym<Element> &source);
0358 
0359 template <class Element> void AMultB (const Element * const ap,Int_t na,Int_t ncolsa,
0360                                       const Element * const bp,Int_t nb,Int_t ncolsb,Element *cp);
0361 template <class Element> void AtMultB(const Element * const ap,Int_t ncolsa,
0362                                       const Element * const bp,Int_t nb,Int_t ncolsb,Element *cp);
0363 template <class Element> void AMultBt(const Element * const ap,Int_t na,Int_t ncolsa,
0364                                       const Element * const bp,Int_t nb,Int_t ncolsb,Element *cp);
0365 } // inline namespace TMatrixTAutoloadOps
0366 #endif
[ Source navigation ] [ Diff markup ] [ Identifier search ] [ general search ]

This page was automatically generated by the 2.3.7 LXR engine.

The LXR team
Valid CSS 2.1! Valid HTML 4.01!