[u/mrichter/AliRoot.git] / STEER / AliCheb3DCalc.cxx

/**************************************************************************
 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
 *                                                                        *
 * Author: The ALICE Off-line Project.                                    *
 * Contributors are mentioned in the code where appropriate.              *
 *                                                                        *
 * Permission to use, copy, modify and distribute this software and its   *
 * documentation strictly for non-commercial purposes is hereby granted   *
 * without fee, provided that the above copyright notice appears in all   *
 * copies and that both the copyright notice and this permission notice   *
 * appear in the supporting documentation. The authors make no claims     *
 * about the suitability of this software for any purpose. It is          *
 * provided "as is" without express or implied warranty.                  *
 **************************************************************************/


// Author: ruben.shahoyan@cern.ch   09/09/2006
//
#include "AliCheb3DCalc.h"

ClassImp(AliCheb3DCalc)

//__________________________________________________________________________________________
AliCheb3DCalc::AliCheb3DCalc() :
  fNCoefs(0), 
  fNRows(0), 
  fNCols(0), 
  fNElemBound2D(0), 
  fNColsAtRow(0), 
  fColAtRowBg(0),
  fCoefBound2D0(0), 
  fCoefBound2D1(0), 
  fCoefs(0), 
  fTmpCf1(0), 
  fTmpCf0(0)
{}

//__________________________________________________________________________________________
AliCheb3DCalc::AliCheb3DCalc(const AliCheb3DCalc& src) :
  TNamed(src), 
  fNCoefs(src.fNCoefs), 
  fNRows(src.fNRows), 
  fNCols(src.fNCols),
  fNElemBound2D(src.fNElemBound2D), 
  fNColsAtRow(0), 
  fColAtRowBg(0), 
  fCoefBound2D0(0), 
  fCoefBound2D1(0), 
  fCoefs(0), 
  fTmpCf1(0), 
  fTmpCf0(0)
{
  if (src.fNColsAtRow) {
    fNColsAtRow = new Int_t[fNRows]; 
    for (int i=fNRows;i--;) fNColsAtRow[i] = src.fNColsAtRow[i];
  }
  if (src.fColAtRowBg) {
    fColAtRowBg = new Int_t[fNRows]; 
    for (int i=fNRows;i--;) fColAtRowBg[i] = src.fColAtRowBg[i];
  }
  if (src.fCoefBound2D0) {
    fCoefBound2D0 = new Int_t[fNElemBound2D];
    for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = src.fCoefBound2D0[i];
  }
  if (src.fCoefBound2D1) {
    fCoefBound2D1 = new Int_t[fNElemBound2D];
    for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = src.fCoefBound2D1[i];
  }
  if (src.fCoefs) {
    fCoefs = new Float_t[fNCoefs];
    for (int i=fNCoefs;i--;) fCoefs[i] = src.fCoefs[i];
  }
  if (src.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
  if (src.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
}

//__________________________________________________________________________________________
AliCheb3DCalc::AliCheb3DCalc(FILE* stream) :
  fNCoefs(0), 
  fNRows(0), 
  fNCols(0), 
  fNElemBound2D(0), 
  fNColsAtRow(0), 
  fColAtRowBg(0), 
  fCoefBound2D0(0), 
  fCoefBound2D1(0), 
  fCoefs(0), 
  fTmpCf1(0), 
  fTmpCf0(0)
{
  LoadData(stream);
}

//__________________________________________________________________________________________
AliCheb3DCalc& AliCheb3DCalc::operator=(const AliCheb3DCalc& rhs)
{
  if (this != &rhs) {
    Clear();
    SetName(rhs.GetName());
    SetTitle(rhs.GetTitle());
    fNCoefs = rhs.fNCoefs;
    fNRows  = rhs.fNRows;
    fNCols  = rhs.fNCols;    
    if (rhs.fNColsAtRow) {
      fNColsAtRow = new Int_t[fNRows]; 
      for (int i=fNRows;i--;) fNColsAtRow[i] = rhs.fNColsAtRow[i];
    }
    if (rhs.fColAtRowBg) {
      fColAtRowBg = new Int_t[fNRows]; 
      for (int i=fNRows;i--;) fColAtRowBg[i] = rhs.fColAtRowBg[i];
    }
    if (rhs.fCoefBound2D0) {
      fCoefBound2D0 = new Int_t[fNElemBound2D];
      for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = rhs.fCoefBound2D0[i];
    }
    if (rhs.fCoefBound2D1) {
      fCoefBound2D1 = new Int_t[fNElemBound2D];
      for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = rhs.fCoefBound2D1[i];
    }
    if (rhs.fCoefs) {
      fCoefs = new Float_t[fNCoefs];
      for (int i=fNCoefs;i--;) fCoefs[i] = rhs.fCoefs[i];
    }
    if (rhs.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
    if (rhs.fTmpCf0) fTmpCf0 = new Float_t[fNRows];    
  }
  return *this;
}

//__________________________________________________________________________________________
void AliCheb3DCalc::Clear(Option_t*)
{
  // delete all dynamycally allocated structures
  if (fTmpCf1)       { delete[] fTmpCf1;  fTmpCf1 = 0;}
  if (fTmpCf0)       { delete[] fTmpCf0;  fTmpCf0 = 0;}
  if (fCoefs)        { delete[] fCoefs;   fCoefs  = 0;}
  if (fCoefBound2D0) { delete[] fCoefBound2D0; fCoefBound2D0 = 0; }
  if (fCoefBound2D1) { delete[] fCoefBound2D1; fCoefBound2D1 = 0; }
  if (fNColsAtRow)   { delete[] fNColsAtRow;   fNColsAtRow = 0; }
  if (fColAtRowBg)   { delete[] fColAtRowBg;   fColAtRowBg = 0; }
  //
}

//__________________________________________________________________________________________
void AliCheb3DCalc::Print(Option_t* ) const
{
  printf("Chebyshev parameterization data %s for 3D->1 function.\n",GetName());
  int nmax3d = 0; 
  for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
  printf("%d coefficients in %dx%dx%d matrix\n",fNCoefs,fNRows,fNCols,nmax3d);
  //
}

//__________________________________________________________________________________________
Float_t  AliCheb3DCalc::Eval(Float_t  *par) const
{
  // evaluate Chebyshev parameterization for 3D function.
  // VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
  Float_t  &z = par[2];
  Float_t  &y = par[1];
  Float_t  &x = par[0];
  //
  int ncfRC;
  for (int id0=fNRows;id0--;) {
    int nCLoc = fNColsAtRow[id0];                   // number of significant coefs on this row
    int Col0  = fColAtRowBg[id0];                   // beginning of local column in the 2D boundary matrix
    for (int id1=nCLoc;id1--;) {
      int id = id1+Col0;
      fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
    }
    fTmpCf0[id0] = nCLoc>0 ? ChebEval1D(y,fTmpCf1,nCLoc):0.0;
  }
  return ChebEval1D(x,fTmpCf0,fNRows);
  //
}

//__________________________________________________________________________________________
Float_t  AliCheb3DCalc::EvalDeriv(int dim, Float_t  *par) const
{
  // evaluate Chebyshev parameterization derivative in given dimension  for 3D function.
  // VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
  Float_t  &z = par[2];
  Float_t  &y = par[1];
  Float_t  &x = par[0];
  //
  int ncfRC;
  for (int id0=fNRows;id0--;) {
    int nCLoc = fNColsAtRow[id0];                   // number of significant coefs on this row
    if (!nCLoc) {fTmpCf0[id0]=0; continue;}
    // 
    int Col0  = fColAtRowBg[id0];                   // beginning of local column in the 2D boundary matrix
    for (int id1=nCLoc;id1--;) {
      int id = id1+Col0;
      if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
      if (dim==2) fTmpCf1[id1] = ChebEval1Deriv(z,fCoefs + fCoefBound2D1[id], ncfRC);
      else        fTmpCf1[id1] = ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC);
    }
    if (dim==1)   fTmpCf0[id0] = ChebEval1Deriv(y,fTmpCf1,nCLoc);
    else          fTmpCf0[id0] = ChebEval1D(y,fTmpCf1,nCLoc);
  }
  return (dim==0) ? ChebEval1Deriv(x,fTmpCf0,fNRows) : ChebEval1D(x,fTmpCf0,fNRows);
  //
}

//__________________________________________________________________________________________
Float_t  AliCheb3DCalc::EvalDeriv2(int dim1,int dim2, Float_t  *par) const
{
  // evaluate Chebyshev parameterization 2n derivative in given dimensions  for 3D function.
  // VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
  Float_t  &z = par[2];
  Float_t  &y = par[1];
  Float_t  &x = par[0];
  //
  Bool_t same = dim1==dim2;
  int ncfRC;
  for (int id0=fNRows;id0--;) {
    int nCLoc = fNColsAtRow[id0];                   // number of significant coefs on this row
    if (!nCLoc) {fTmpCf0[id0]=0; continue;}
    //
    int Col0  = fColAtRowBg[id0];                   // beginning of local column in the 2D boundary matrix
    for (int id1=nCLoc;id1--;) {
      int id = id1+Col0;
      if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
      if (dim1==2||dim2==2) fTmpCf1[id1] = same ? ChebEval1Deriv2(z,fCoefs + fCoefBound2D1[id], ncfRC) 
			      :                   ChebEval1Deriv(z,fCoefs + fCoefBound2D1[id], ncfRC);
      else        fTmpCf1[id1] = ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC);
    }
    if (dim1==1||dim2==1) fTmpCf0[id0] = same ? ChebEval1Deriv2(y,fTmpCf1,nCLoc):ChebEval1Deriv(y,fTmpCf1,nCLoc);
    else                  fTmpCf0[id0] = ChebEval1D(y,fTmpCf1,nCLoc);
  }
  return (dim1==0||dim2==0) ? (same ? ChebEval1Deriv2(x,fTmpCf0,fNRows):ChebEval1Deriv(x,fTmpCf0,fNRows)) : ChebEval1D(x,fTmpCf0,fNRows);
  //
}

//_______________________________________________
#ifdef _INC_CREATION_ALICHEB3D_
void AliCheb3DCalc::SaveData(const char* outfile,Bool_t append) const
{
  // writes coefficients data to output text file, optionallt appending on the end of existing file
  TString strf = outfile;
  gSystem->ExpandPathName(strf);
  FILE* stream = fopen(strf,append ? "a":"w");
  SaveData(stream);
  fclose(stream);
  //
}
#endif

//_______________________________________________
#ifdef _INC_CREATION_ALICHEB3D_
void AliCheb3DCalc::SaveData(FILE* stream) const
{
  // writes coefficients data to existing output stream
  // Note: fNCols, fNElemBound2D and fColAtRowBg is not stored, will be computed on fly during the loading of this file
  fprintf(stream,"#\nSTART %s\n",GetName());
  fprintf(stream,"# Number of rows\n%d\n",fNRows);
  //
  fprintf(stream,"# Number of columns per row\n");
  for (int i=0;i<fNRows;i++) fprintf(stream,"%d\n",fNColsAtRow[i]);
  //
  fprintf(stream,"# Number of Coefs in each significant block of third dimension\n");
  for (int i=0;i<fNElemBound2D;i++) fprintf(stream,"%d\n",fCoefBound2D0[i]);
  //
  fprintf(stream,"# Coefficients\n");
  for (int i=0;i<fNCoefs;i++) fprintf(stream,"%+.8e\n",fCoefs[i]);
  fprintf(stream,"END %s\n",GetName());
  //
}
#endif

//_______________________________________________
void AliCheb3DCalc::LoadData(FILE* stream)
{
  // Load coefs. from the stream 
  if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
  TString buffs;
  Clear();
  ReadLine(buffs,stream);
  if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
  if (buffs.First(' ')>0) SetName(buffs.Data()+buffs.First(' ')+1);
  //
  ReadLine(buffs,stream); // NRows
  fNRows = buffs.Atoi(); 
  if (fNRows<1) {Error("LoadData","Expected: '<number_of_rows>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
  //
  fNCols = 0;
  fNElemBound2D = 0;
  InitRows(fNRows);
  //
  for (int id0=0;id0<fNRows;id0++) {
    ReadLine(buffs,stream);               // n.cols at this row
    fNColsAtRow[id0] = buffs.Atoi();
    fColAtRowBg[id0] = fNElemBound2D;     // begining of this row in 2D boundary surface
    fNElemBound2D   += fNColsAtRow[id0];
    if (fNCols<fNColsAtRow[id0]) fNCols = fNColsAtRow[id0];
  }
  InitCols(fNCols);
  //  
  fNCoefs = 0; 
  InitElemBound2D(fNElemBound2D);
  //
  for (int i=0;i<fNElemBound2D;i++) {
    ReadLine(buffs,stream);               // n.coeffs at 3-d dimension for the given column/row
    fCoefBound2D0[i] = buffs.Atoi();
    fCoefBound2D1[i] = fNCoefs;
    fNCoefs += fCoefBound2D0[i];
  }
  //
  if (fNCoefs<=0) {Error("LoadData","Negtive (%d) number of Chebychef coeffs. is obtained.\nStop\n",fNCoefs);exit(1);}
  //
  InitCoefs(fNCoefs);
  for (int i=0;i<fNCoefs;i++) {
    ReadLine(buffs,stream);
    fCoefs[i] = buffs.Atof();
  }
  // check end_of_data record
  ReadLine(buffs,stream);
  if (!buffs.BeginsWith("END") || !buffs.Contains(GetName())) {
    Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
    exit(1);
  }
  //
}

//_______________________________________________
void AliCheb3DCalc::ReadLine(TString& str,FILE* stream) 
{
  // read single line from the stream, skipping empty and commented lines. EOF is not expected
  while (str.Gets(stream)) {
    str = str.Strip(TString::kBoth,' ');
    if (str.IsNull()||str.BeginsWith("#")) continue;
    return;
  }
  fprintf(stderr,"AliCheb3D::ReadLine: Failed to read from stream.\nStop");exit(1); // normally, should not reach here
}

//_______________________________________________
void AliCheb3DCalc::InitCols(int nc)
{
  // Set max.number of significant columns in the coefs matrix
  fNCols = nc;
  if (fTmpCf1) delete[] fTmpCf1;
  fTmpCf1 = new Float_t [fNCols];
}

//_______________________________________________
void AliCheb3DCalc::InitRows(int nr)
{
  // Set max.number of significant rows in the coefs matrix
  if (fNColsAtRow) delete[] fNColsAtRow;
  if (fColAtRowBg) delete[] fColAtRowBg;
  if (fTmpCf0)     delete[] fTmpCf0;
  fNRows = nr;
  fNColsAtRow = new Int_t[fNRows];
  fTmpCf0     = new Float_t [fNRows];
  fColAtRowBg = new Int_t[fNRows];
  for (int i=fNRows;i--;) fNColsAtRow[i] = fColAtRowBg[i] = 0;
}

//_______________________________________________
void AliCheb3DCalc::InitElemBound2D(int ne)
{
  // Set max number of significant coefs for given row/column of coefs 3D matrix
  if (fCoefBound2D0) delete[] fCoefBound2D0; 
  if (fCoefBound2D1) delete[] fCoefBound2D1; 
  fNElemBound2D = ne;
  fCoefBound2D0 = new Int_t[fNElemBound2D];
  fCoefBound2D1 = new Int_t[fNElemBound2D];
  for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = fCoefBound2D1[i] = 0;
}

//_______________________________________________
void AliCheb3DCalc::InitCoefs(int nc)
{
  // Set total number of significant coefs
  if (fCoefs) delete[] fCoefs; 
  fNCoefs = nc;
  fCoefs = new Float_t [fNCoefs];
  for (int i=fNCoefs;i--;) fCoefs[i] = 0.0;
}

//__________________________________________________________________________________________
Float_t AliCheb3DCalc::ChebEval1Deriv(Float_t  x, const Float_t * array, int ncf )
{
  // evaluate 1D Chebyshev parameterization's derivative. x is the argument mapped to [-1:1] interval
  if (--ncf<1) return 0;
  Float_t b0, b1, b2;
  Float_t x2 = x+x;
  b1 = b2 = 0;
  float dcf0=0,dcf1,dcf2=0;
  b0 = dcf1 = 2*ncf*array[ncf];
  if (!(--ncf)) return b0/2;
  //
  for (int i=ncf;i--;) {
    b2 = b1;      
    b1 = b0;
    dcf0 = dcf2 + 2*(i+1)*array[i+1];
    b0 = dcf0 + x2*b1 -b2;
    dcf2 = dcf1;  
    dcf1 = dcf0;
  }
  //
  return b0 - x*b1 - dcf0/2;
}

//__________________________________________________________________________________________
Float_t AliCheb3DCalc::ChebEval1Deriv2(Float_t  x, const Float_t * array, int ncf )
{
  // evaluate 1D Chebyshev parameterization's 2nd derivative. x is the argument mapped to [-1:1] interval
  if (--ncf<2) return 0;
  Float_t b0, b1, b2;
  Float_t x2 = x+x;
  b1 = b2 = 0;
  float dcf0=0,dcf1=0,dcf2=0;
  float ddcf0=0,ddcf1,ddcf2=0;
  //
  dcf2 = 2*ncf*array[ncf]; 
  --ncf; 

  dcf1 = 2*ncf*array[ncf]; 
  b0 = ddcf1 = 2*ncf*dcf2; 
  //
  if (!(--ncf)) return b0/2;
  //
  for (int i=ncf;i--;) {
    b2 = b1;                        
    b1 = b0;
    dcf0  = dcf2 + 2*(i+1)*array[i+1];
    ddcf0 = ddcf2 + 2*(i+1)*dcf1; 
    b0 = ddcf0 + x2*b1 -b2;
    //
    ddcf2 = ddcf1;  
    ddcf1 = ddcf0;
    //
    dcf2 = dcf1;
    dcf1 = dcf0;
    //
  }
  //
  return b0 - x*b1 - ddcf0/2;
}
Commit	Line	Data
99adacae	1	/**************************************************************************
	2	* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
	3	* *
	4	* Author: The ALICE Off-line Project. *
	5	* Contributors are mentioned in the code where appropriate. *
	6	* *
	7	* Permission to use, copy, modify and distribute this software and its *
	8	* documentation strictly for non-commercial purposes is hereby granted *
	9	* without fee, provided that the above copyright notice appears in all *
	10	* copies and that both the copyright notice and this permission notice *
	11	* appear in the supporting documentation. The authors make no claims *
	12	* about the suitability of this software for any purpose. It is *
	13	* provided "as is" without express or implied warranty. *
	14	**************************************************************************/
	15
99adacae	16
	17	// Author: ruben.shahoyan@cern.ch 09/09/2006
	18	//
99adacae	19	#include "AliCheb3DCalc.h"
	20
	21	ClassImp(AliCheb3DCalc)
	22
40389866	23	//__________________________________________________________________________________________
	24	AliCheb3DCalc::AliCheb3DCalc() :
	25	fNCoefs(0),
	26	fNRows(0),
	27	fNCols(0),
	28	fNElemBound2D(0),
	29	fNColsAtRow(0),
	30	fColAtRowBg(0),
	31	fCoefBound2D0(0),
	32	fCoefBound2D1(0),
	33	fCoefs(0),
	34	fTmpCf1(0),
	35	fTmpCf0(0)
	36	{}
99adacae	37
40389866	38	//__________________________________________________________________________________________
	39	AliCheb3DCalc::AliCheb3DCalc(const AliCheb3DCalc& src) :
	40	TNamed(src),
	41	fNCoefs(src.fNCoefs),
	42	fNRows(src.fNRows),
	43	fNCols(src.fNCols),
	44	fNElemBound2D(src.fNElemBound2D),
	45	fNColsAtRow(0),
	46	fColAtRowBg(0),
	47	fCoefBound2D0(0),
	48	fCoefBound2D1(0),
	49	fCoefs(0),
	50	fTmpCf1(0),
	51	fTmpCf0(0)
99adacae	52	{
40389866	53	if (src.fNColsAtRow) {
	54	fNColsAtRow = new Int_t[fNRows];
	55	for (int i=fNRows;i--;) fNColsAtRow[i] = src.fNColsAtRow[i];
	56	}
	57	if (src.fColAtRowBg) {
	58	fColAtRowBg = new Int_t[fNRows];
	59	for (int i=fNRows;i--;) fColAtRowBg[i] = src.fColAtRowBg[i];
	60	}
	61	if (src.fCoefBound2D0) {
	62	fCoefBound2D0 = new Int_t[fNElemBound2D];
	63	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = src.fCoefBound2D0[i];
	64	}
	65	if (src.fCoefBound2D1) {
	66	fCoefBound2D1 = new Int_t[fNElemBound2D];
	67	for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = src.fCoefBound2D1[i];
	68	}
	69	if (src.fCoefs) {
	70	fCoefs = new Float_t[fNCoefs];
	71	for (int i=fNCoefs;i--;) fCoefs[i] = src.fCoefs[i];
	72	}
	73	if (src.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
	74	if (src.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
99adacae	75	}
99adacae	76
40389866	77	//__________________________________________________________________________________________
	78	AliCheb3DCalc::AliCheb3DCalc(FILE* stream) :
	79	fNCoefs(0),
	80	fNRows(0),
	81	fNCols(0),
	82	fNElemBound2D(0),
	83	fNColsAtRow(0),
	84	fColAtRowBg(0),
	85	fCoefBound2D0(0),
	86	fCoefBound2D1(0),
	87	fCoefs(0),
	88	fTmpCf1(0),
	89	fTmpCf0(0)
99adacae	90	{
40389866	91	LoadData(stream);
99adacae	92	}
99adacae	93
40389866	94	//__________________________________________________________________________________________
40389866	95	AliCheb3DCalc& AliCheb3DCalc::operator=(const AliCheb3DCalc& rhs)
99adacae	96	{
40389866	97	if (this != &rhs) {
	98	Clear();
	99	SetName(rhs.GetName());
	100	SetTitle(rhs.GetTitle());
	101	fNCoefs = rhs.fNCoefs;
	102	fNRows = rhs.fNRows;
	103	fNCols = rhs.fNCols;
	104	if (rhs.fNColsAtRow) {
	105	fNColsAtRow = new Int_t[fNRows];
	106	for (int i=fNRows;i--;) fNColsAtRow[i] = rhs.fNColsAtRow[i];
99adacae	107	}
40389866	108	if (rhs.fColAtRowBg) {
	109	fColAtRowBg = new Int_t[fNRows];
	110	for (int i=fNRows;i--;) fColAtRowBg[i] = rhs.fColAtRowBg[i];
99adacae	111	}
40389866	112	if (rhs.fCoefBound2D0) {
	113	fCoefBound2D0 = new Int_t[fNElemBound2D];
	114	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = rhs.fCoefBound2D0[i];
99adacae	115	}
40389866	116	if (rhs.fCoefBound2D1) {
	117	fCoefBound2D1 = new Int_t[fNElemBound2D];
	118	for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = rhs.fCoefBound2D1[i];
99adacae	119	}
40389866	120	if (rhs.fCoefs) {
	121	fCoefs = new Float_t[fNCoefs];
	122	for (int i=fNCoefs;i--;) fCoefs[i] = rhs.fCoefs[i];
99adacae	123	}
40389866	124	if (rhs.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
	125	if (rhs.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
	126	}
	127	return *this;
99adacae	128	}
	129
	130	//__________________________________________________________________________________________
	131	void AliCheb3DCalc::Clear(Option_t*)
	132	{
	133	// delete all dynamycally allocated structures
	134	if (fTmpCf1) { delete[] fTmpCf1; fTmpCf1 = 0;}
	135	if (fTmpCf0) { delete[] fTmpCf0; fTmpCf0 = 0;}
	136	if (fCoefs) { delete[] fCoefs; fCoefs = 0;}
	137	if (fCoefBound2D0) { delete[] fCoefBound2D0; fCoefBound2D0 = 0; }
	138	if (fCoefBound2D1) { delete[] fCoefBound2D1; fCoefBound2D1 = 0; }
	139	if (fNColsAtRow) { delete[] fNColsAtRow; fNColsAtRow = 0; }
	140	if (fColAtRowBg) { delete[] fColAtRowBg; fColAtRowBg = 0; }
	141	//
	142	}
	143
99adacae	144	//__________________________________________________________________________________________
	145	void AliCheb3DCalc::Print(Option_t* ) const
	146	{
99adacae	147	printf("Chebyshev parameterization data %s for 3D->1 function.\n",GetName());
	148	int nmax3d = 0;
	149	for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
	150	printf("%d coefficients in %dx%dx%d matrix\n",fNCoefs,fNRows,fNCols,nmax3d);
	151	//
	152	}
	153
	154	//__________________________________________________________________________________________
	155	Float_t AliCheb3DCalc::Eval(Float_t *par) const
	156	{
	157	// evaluate Chebyshev parameterization for 3D function.
	158	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
	159	Float_t &z = par[2];
	160	Float_t &y = par[1];
	161	Float_t &x = par[0];
	162	//
	163	int ncfRC;
	164	for (int id0=fNRows;id0--;) {
	165	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
40389866	166	int Col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
99adacae	167	for (int id1=nCLoc;id1--;) {
40389866	168	int id = id1+Col0;
99adacae	169	fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
	170	}
	171	fTmpCf0[id0] = nCLoc>0 ? ChebEval1D(y,fTmpCf1,nCLoc):0.0;
	172	}
	173	return ChebEval1D(x,fTmpCf0,fNRows);
	174	//
	175	}
	176
40389866	177	//__________________________________________________________________________________________
	178	Float_t AliCheb3DCalc::EvalDeriv(int dim, Float_t *par) const
	179	{
	180	// evaluate Chebyshev parameterization derivative in given dimension for 3D function.
	181	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
	182	Float_t &z = par[2];
	183	Float_t &y = par[1];
	184	Float_t &x = par[0];
	185	//
	186	int ncfRC;
	187	for (int id0=fNRows;id0--;) {
	188	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
1cf34ee8	189	if (!nCLoc) {fTmpCf0[id0]=0; continue;}
1cf34ee8	190	//
40389866	191	int Col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
	192	for (int id1=nCLoc;id1--;) {
	193	int id = id1+Col0;
1cf34ee8	194	if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
	195	if (dim==2) fTmpCf1[id1] = ChebEval1Deriv(z,fCoefs + fCoefBound2D1[id], ncfRC);
	196	else fTmpCf1[id1] = ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC);
40389866	197	}
1cf34ee8	198	if (dim==1) fTmpCf0[id0] = ChebEval1Deriv(y,fTmpCf1,nCLoc);
1cf34ee8	199	else fTmpCf0[id0] = ChebEval1D(y,fTmpCf1,nCLoc);
40389866	200	}
	201	return (dim==0) ? ChebEval1Deriv(x,fTmpCf0,fNRows) : ChebEval1D(x,fTmpCf0,fNRows);
	202	//
	203	}
	204
1cf34ee8	205	//__________________________________________________________________________________________
	206	Float_t AliCheb3DCalc::EvalDeriv2(int dim1,int dim2, Float_t *par) const
	207	{
	208	// evaluate Chebyshev parameterization 2n derivative in given dimensions for 3D function.
	209	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
	210	Float_t &z = par[2];
	211	Float_t &y = par[1];
	212	Float_t &x = par[0];
	213	//
	214	Bool_t same = dim1==dim2;
	215	int ncfRC;
	216	for (int id0=fNRows;id0--;) {
	217	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
	218	if (!nCLoc) {fTmpCf0[id0]=0; continue;}
	219	//
	220	int Col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
	221	for (int id1=nCLoc;id1--;) {
	222	int id = id1+Col0;
	223	if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
	224	if (dim1==2\|\|dim2==2) fTmpCf1[id1] = same ? ChebEval1Deriv2(z,fCoefs + fCoefBound2D1[id], ncfRC)
	225	: ChebEval1Deriv(z,fCoefs + fCoefBound2D1[id], ncfRC);
	226	else fTmpCf1[id1] = ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC);
	227	}
	228	if (dim1==1\|\|dim2==1) fTmpCf0[id0] = same ? ChebEval1Deriv2(y,fTmpCf1,nCLoc):ChebEval1Deriv(y,fTmpCf1,nCLoc);
	229	else fTmpCf0[id0] = ChebEval1D(y,fTmpCf1,nCLoc);
	230	}
	231	return (dim1==0\|\|dim2==0) ? (same ? ChebEval1Deriv2(x,fTmpCf0,fNRows):ChebEval1Deriv(x,fTmpCf0,fNRows)) : ChebEval1D(x,fTmpCf0,fNRows);
	232	//
	233	}
	234
99adacae	235	//_______________________________________________
	236	#ifdef _INC_CREATION_ALICHEB3D_
	237	void AliCheb3DCalc::SaveData(const char* outfile,Bool_t append) const
	238	{
	239	// writes coefficients data to output text file, optionallt appending on the end of existing file
	240	TString strf = outfile;
	241	gSystem->ExpandPathName(strf);
	242	FILE* stream = fopen(strf,append ? "a":"w");
	243	SaveData(stream);
	244	fclose(stream);
	245	//
	246	}
	247	#endif
	248
	249	//_______________________________________________
	250	#ifdef _INC_CREATION_ALICHEB3D_
	251	void AliCheb3DCalc::SaveData(FILE* stream) const
	252	{
	253	// writes coefficients data to existing output stream
	254	// Note: fNCols, fNElemBound2D and fColAtRowBg is not stored, will be computed on fly during the loading of this file
	255	fprintf(stream,"#\nSTART %s\n",GetName());
	256	fprintf(stream,"# Number of rows\n%d\n",fNRows);
	257	//
	258	fprintf(stream,"# Number of columns per row\n");
	259	for (int i=0;i<fNRows;i++) fprintf(stream,"%d\n",fNColsAtRow[i]);
	260	//
	261	fprintf(stream,"# Number of Coefs in each significant block of third dimension\n");
	262	for (int i=0;i<fNElemBound2D;i++) fprintf(stream,"%d\n",fCoefBound2D0[i]);
	263	//
	264	fprintf(stream,"# Coefficients\n");
	265	for (int i=0;i<fNCoefs;i++) fprintf(stream,"%+.8e\n",fCoefs[i]);
	266	fprintf(stream,"END %s\n",GetName());
	267	//
	268	}
	269	#endif
	270
	271	//_______________________________________________
	272	void AliCheb3DCalc::LoadData(FILE* stream)
	273	{
	274	// Load coefs. from the stream
	275	if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
	276	TString buffs;
	277	Clear();
	278	ReadLine(buffs,stream);
	279	if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
	280	if (buffs.First(' ')>0) SetName(buffs.Data()+buffs.First(' ')+1);
	281	//
	282	ReadLine(buffs,stream); // NRows
	283	fNRows = buffs.Atoi();
	284	if (fNRows<1) {Error("LoadData","Expected: '<number_of_rows>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
	285	//
	286	fNCols = 0;
	287	fNElemBound2D = 0;
	288	InitRows(fNRows);
	289	//
	290	for (int id0=0;id0<fNRows;id0++) {
	291	ReadLine(buffs,stream); // n.cols at this row
	292	fNColsAtRow[id0] = buffs.Atoi();
	293	fColAtRowBg[id0] = fNElemBound2D; // begining of this row in 2D boundary surface
	294	fNElemBound2D += fNColsAtRow[id0];
	295	if (fNCols<fNColsAtRow[id0]) fNCols = fNColsAtRow[id0];
	296	}
	297	InitCols(fNCols);
	298	//
299	fNCoefs = 0;
300	InitElemBound2D(fNElemBound2D);
301	//
302	for (int i=0;i<fNElemBound2D;i++) {
303	ReadLine(buffs,stream); // n.coeffs at 3-d dimension for the given column/row
304	fCoefBound2D0[i] = buffs.Atoi();
305	fCoefBound2D1[i] = fNCoefs;
306	fNCoefs += fCoefBound2D0[i];
307	}
308	//
309	if (fNCoefs<=0) {Error("LoadData","Negtive (%d) number of Chebychef coeffs. is obtained.\nStop\n",fNCoefs);exit(1);}
310	//
311	InitCoefs(fNCoefs);
312	for (int i=0;i<fNCoefs;i++) {
313	ReadLine(buffs,stream);
314	fCoefs[i] = buffs.Atof();
315	}
316	// check end_of_data record
317	ReadLine(buffs,stream);
318	if (!buffs.BeginsWith("END") \|\| !buffs.Contains(GetName())) {
319	Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
320	exit(1);
321	}
322	//
323	}
324
325	//_______________________________________________
326	void AliCheb3DCalc::ReadLine(TString& str,FILE* stream)
327	{
328	// read single line from the stream, skipping empty and commented lines. EOF is not expected
329	while (str.Gets(stream)) {
330	str = str.Strip(TString::kBoth,' ');
331	if (str.IsNull()\|\|str.BeginsWith("#")) continue;
332	return;
333	}
334	fprintf(stderr,"AliCheb3D::ReadLine: Failed to read from stream.\nStop");exit(1); // normally, should not reach here
335	}
336
337	//_______________________________________________
338	void AliCheb3DCalc::InitCols(int nc)
339	{
340	// Set max.number of significant columns in the coefs matrix
341	fNCols = nc;
342	if (fTmpCf1) delete[] fTmpCf1;
343	fTmpCf1 = new Float_t [fNCols];
344	}
345
346	//_______________________________________________
347	void AliCheb3DCalc::InitRows(int nr)
348	{
349	// Set max.number of significant rows in the coefs matrix
350	if (fNColsAtRow) delete[] fNColsAtRow;
351	if (fColAtRowBg) delete[] fColAtRowBg;
352	if (fTmpCf0) delete[] fTmpCf0;
353	fNRows = nr;
354	fNColsAtRow = new Int_t[fNRows];
355	fTmpCf0 = new Float_t [fNRows];
356	fColAtRowBg = new Int_t[fNRows];
357	for (int i=fNRows;i--;) fNColsAtRow[i] = fColAtRowBg[i] = 0;
358	}
359
360	//_______________________________________________
361	void AliCheb3DCalc::InitElemBound2D(int ne)
362	{
363	// Set max number of significant coefs for given row/column of coefs 3D matrix
364	if (fCoefBound2D0) delete[] fCoefBound2D0;
365	if (fCoefBound2D1) delete[] fCoefBound2D1;
366	fNElemBound2D = ne;
367	fCoefBound2D0 = new Int_t[fNElemBound2D];
368	fCoefBound2D1 = new Int_t[fNElemBound2D];
369	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = fCoefBound2D1[i] = 0;
370	}
371
372	//_______________________________________________
373	void AliCheb3DCalc::InitCoefs(int nc)
374	{
375	// Set total number of significant coefs
376	if (fCoefs) delete[] fCoefs;
377	fNCoefs = nc;
378	fCoefs = new Float_t [fNCoefs];
379	for (int i=fNCoefs;i--;) fCoefs[i] = 0.0;
380	}
381
40389866	382	//__________________________________________________________________________________________
	383	Float_t AliCheb3DCalc::ChebEval1Deriv(Float_t x, const Float_t * array, int ncf )
	384	{
	385	// evaluate 1D Chebyshev parameterization's derivative. x is the argument mapped to [-1:1] interval
1cf34ee8	386	if (--ncf<1) return 0;
40389866	387	Float_t b0, b1, b2;
	388	Float_t x2 = x+x;
	389	b1 = b2 = 0;
	390	float dcf0=0,dcf1,dcf2=0;
	391	b0 = dcf1 = 2ncfarray[ncf];
1cf34ee8	392	if (!(--ncf)) return b0/2;
40389866	393	//
	394	for (int i=ncf;i--;) {
	395	b2 = b1;
	396	b1 = b0;
	397	dcf0 = dcf2 + 2(i+1)array[i+1];
	398	b0 = dcf0 + x2*b1 -b2;
	399	dcf2 = dcf1;
	400	dcf1 = dcf0;
	401	}
	402	//
	403	return b0 - x*b1 - dcf0/2;
	404	}
1cf34ee8	405
	406	//__________________________________________________________________________________________
	407	Float_t AliCheb3DCalc::ChebEval1Deriv2(Float_t x, const Float_t * array, int ncf )
	408	{
	409	// evaluate 1D Chebyshev parameterization's 2nd derivative. x is the argument mapped to [-1:1] interval
	410	if (--ncf<2) return 0;
	411	Float_t b0, b1, b2;
	412	Float_t x2 = x+x;
	413	b1 = b2 = 0;
	414	float dcf0=0,dcf1=0,dcf2=0;
	415	float ddcf0=0,ddcf1,ddcf2=0;
	416	//
	417	dcf2 = 2ncfarray[ncf];
	418	--ncf;
	419
	420	dcf1 = 2ncfarray[ncf];
	421	b0 = ddcf1 = 2ncfdcf2;
	422	//
	423	if (!(--ncf)) return b0/2;
	424	//
	425	for (int i=ncf;i--;) {
	426	b2 = b1;
	427	b1 = b0;
	428	dcf0 = dcf2 + 2(i+1)array[i+1];
	429	ddcf0 = ddcf2 + 2(i+1)dcf1;
	430	b0 = ddcf0 + x2*b1 -b2;
	431	//
	432	ddcf2 = ddcf1;
	433	ddcf1 = ddcf0;
	434	//
	435	dcf2 = dcf1;
	436	dcf1 = dcf0;
	437	//
	438	}
	439	//
	440	return b0 - x*b1 - ddcf0/2;
	441	}
	442