TDecompQRH.h

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// @(#)root/matrix:$Id$
// Authors: Fons Rademakers, Eddy Offermann   Dec 2003
 
/*************************************************************************
 * Copyright (C) 1995-2000, Rene Brun and Fons Rademakers.               *
 * All rights reserved.                                                  *
 *                                                                       *
 * For the licensing terms see $ROOTSYS/LICENSE.                         *
 * For the list of contributors see $ROOTSYS/README/CREDITS.             *
 *************************************************************************/
 
#ifndef ROOT_TDecompQRH
#define ROOT_TDecompQRH
 
///////////////////////////////////////////////////////////////////////////
//                                                                       //
// QR Decomposition class                                                //
//                                                                       //
///////////////////////////////////////////////////////////////////////////
 
#include "TDecompBase.h"
 
#include "Rtypes.h"
 
class TDecompQRH : public TDecompBase
{
protected :
 
   //  A = fQ fR H (m x n) matrix
   TMatrixD fQ;  // (m x n) - orthogonal matrix
   TMatrixD fR;  // (n x n) - upper triangular matrix
   TVectorD fUp; // (n) - vector with Householder up's
   TVectorD fW;  // (n) - vector with Householder beta's
 
   static Bool_t QRH(TMatrixD &q,TVectorD &diagR,TVectorD &up,TVectorD &w,Double_t tol);
 
   const TMatrixDBase &GetDecompMatrix() const override { return fR; }
 
public :
 
   enum {kWorkMax = 100}; // size of work array
 
   TDecompQRH() {}
   TDecompQRH(Int_t nrows,Int_t ncols);
   TDecompQRH(Int_t row_lwb,Int_t row_upb,Int_t col_lwb,Int_t col_upb);
   TDecompQRH(const TMatrixD &m,Double_t tol = 0.0); // be careful for slicing in operator=
   TDecompQRH(const TDecompQRH &another);
   ~TDecompQRH() override {}
 
         Int_t     GetNrows () const override { return fQ.GetNrows(); }
         Int_t     GetNcols () const override { return fQ.GetNcols(); }
   virtual const TMatrixD &GetQ     ()       { if ( !TestBit(kDecomposed) ) Decompose();
                                               return fQ; }
   virtual const TMatrixD &GetR     ()       { if ( !TestBit(kDecomposed) ) Decompose();
                                               return fR; }
   virtual const TVectorD &GetUp    ()       { if ( !TestBit(kDecomposed) ) Decompose();
                                               return fUp; }
   virtual const TVectorD &GetW     ()       { if ( !TestBit(kDecomposed) ) Decompose();
                                               return fW; }
 
   TMatrixD GetOrthogonalMatrix() const;
   const TMatrixD &GetTriangularMatrix() const { return fR; }
 
   virtual       void      SetMatrix(const TMatrixD &a);
 
   Bool_t   Decompose  () override;
   Bool_t   Solve      (      TVectorD &b) override;
   TVectorD Solve      (const TVectorD& b,Bool_t &ok) override { TVectorD x = b; ok = Solve(x); return x; }
   Bool_t   Solve      (      TMatrixDColumn &b) override;
   Bool_t   TransSolve (      TVectorD &b) override;
   TVectorD TransSolve (const TVectorD& b,Bool_t &ok) override { TVectorD x = b; ok = TransSolve(x); return x; }
   Bool_t   TransSolve (      TMatrixDColumn &b) override;
   void     Det        (Double_t &d1,Double_t &d2) override;
 
           Bool_t   Invert     (TMatrixD &inv);
           TMatrixD Invert     (Bool_t &status);
           TMatrixD Invert     () { Bool_t status; return Invert(status); }
 
   void Print(Option_t *opt ="") const override; // *MENU*
 
   TDecompQRH &operator= (const TDecompQRH &source);
 
   ClassDefOverride(TDecompQRH,1) // Matrix Decompositition QRH
};
 
#endif