[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
    int Col0  = fColAtRowBg[id0];                   // beginning of local column in the 2D boundary matrix
    for (int id1=nCLoc;id1--;) {
      int id = id1+Col0;
      if (dim==2) fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1Deriv(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
      else        fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
    }
    if (dim==1)   fTmpCf0[id0] = nCLoc>0 ? ChebEval1Deriv(y,fTmpCf1,nCLoc):0.0;
    else          fTmpCf0[id0] = nCLoc>0 ? ChebEval1D(y,fTmpCf1,nCLoc):0.0;
  }
  return (dim==0) ? 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<2) 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)) dcf0 = dcf1;
  //
  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;
}
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
	189	int Col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
	190	for (int id1=nCLoc;id1--;) {
	191	int id = id1+Col0;
	192	if (dim==2) fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1Deriv(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
	193	else fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
	194	}
	195	if (dim==1) fTmpCf0[id0] = nCLoc>0 ? ChebEval1Deriv(y,fTmpCf1,nCLoc):0.0;
	196	else fTmpCf0[id0] = nCLoc>0 ? ChebEval1D(y,fTmpCf1,nCLoc):0.0;
	197	}
	198	return (dim==0) ? ChebEval1Deriv(x,fTmpCf0,fNRows) : ChebEval1D(x,fTmpCf0,fNRows);
	199	//
	200	}
	201
99adacae	202	//_______________________________________________
	203	#ifdef _INC_CREATION_ALICHEB3D_
	204	void AliCheb3DCalc::SaveData(const char* outfile,Bool_t append) const
	205	{
	206	// writes coefficients data to output text file, optionallt appending on the end of existing file
	207	TString strf = outfile;
	208	gSystem->ExpandPathName(strf);
	209	FILE* stream = fopen(strf,append ? "a":"w");
	210	SaveData(stream);
	211	fclose(stream);
	212	//
	213	}
	214	#endif
	215
	216	//_______________________________________________
	217	#ifdef _INC_CREATION_ALICHEB3D_
	218	void AliCheb3DCalc::SaveData(FILE* stream) const
	219	{
	220	// writes coefficients data to existing output stream
	221	// Note: fNCols, fNElemBound2D and fColAtRowBg is not stored, will be computed on fly during the loading of this file
	222	fprintf(stream,"#\nSTART %s\n",GetName());
	223	fprintf(stream,"# Number of rows\n%d\n",fNRows);
	224	//
	225	fprintf(stream,"# Number of columns per row\n");
	226	for (int i=0;i<fNRows;i++) fprintf(stream,"%d\n",fNColsAtRow[i]);
	227	//
	228	fprintf(stream,"# Number of Coefs in each significant block of third dimension\n");
	229	for (int i=0;i<fNElemBound2D;i++) fprintf(stream,"%d\n",fCoefBound2D0[i]);
	230	//
	231	fprintf(stream,"# Coefficients\n");
	232	for (int i=0;i<fNCoefs;i++) fprintf(stream,"%+.8e\n",fCoefs[i]);
	233	fprintf(stream,"END %s\n",GetName());
	234	//
	235	}
	236	#endif
	237
	238	//_______________________________________________
	239	void AliCheb3DCalc::LoadData(FILE* stream)
	240	{
	241	// Load coefs. from the stream
	242	if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
	243	TString buffs;
	244	Clear();
	245	ReadLine(buffs,stream);
	246	if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
	247	if (buffs.First(' ')>0) SetName(buffs.Data()+buffs.First(' ')+1);
	248	//
	249	ReadLine(buffs,stream); // NRows
	250	fNRows = buffs.Atoi();
	251	if (fNRows<1) {Error("LoadData","Expected: '<number_of_rows>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
	252	//
	253	fNCols = 0;
	254	fNElemBound2D = 0;
	255	InitRows(fNRows);
	256	//
	257	for (int id0=0;id0<fNRows;id0++) {
	258	ReadLine(buffs,stream); // n.cols at this row
	259	fNColsAtRow[id0] = buffs.Atoi();
	260	fColAtRowBg[id0] = fNElemBound2D; // begining of this row in 2D boundary surface
	261	fNElemBound2D += fNColsAtRow[id0];
	262	if (fNCols<fNColsAtRow[id0]) fNCols = fNColsAtRow[id0];
	263	}
	264	InitCols(fNCols);
	265	//
266	fNCoefs = 0;
267	InitElemBound2D(fNElemBound2D);
268	//
269	for (int i=0;i<fNElemBound2D;i++) {
270	ReadLine(buffs,stream); // n.coeffs at 3-d dimension for the given column/row
271	fCoefBound2D0[i] = buffs.Atoi();
272	fCoefBound2D1[i] = fNCoefs;
273	fNCoefs += fCoefBound2D0[i];
274	}
275	//
276	if (fNCoefs<=0) {Error("LoadData","Negtive (%d) number of Chebychef coeffs. is obtained.\nStop\n",fNCoefs);exit(1);}
277	//
278	InitCoefs(fNCoefs);
279	for (int i=0;i<fNCoefs;i++) {
280	ReadLine(buffs,stream);
281	fCoefs[i] = buffs.Atof();
282	}
283	// check end_of_data record
284	ReadLine(buffs,stream);
285	if (!buffs.BeginsWith("END") \|\| !buffs.Contains(GetName())) {
286	Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
287	exit(1);
288	}
289	//
290	}
291
292	//_______________________________________________
293	void AliCheb3DCalc::ReadLine(TString& str,FILE* stream)
294	{
295	// read single line from the stream, skipping empty and commented lines. EOF is not expected
296	while (str.Gets(stream)) {
297	str = str.Strip(TString::kBoth,' ');
298	if (str.IsNull()\|\|str.BeginsWith("#")) continue;
299	return;
300	}
301	fprintf(stderr,"AliCheb3D::ReadLine: Failed to read from stream.\nStop");exit(1); // normally, should not reach here
302	}
303
304	//_______________________________________________
305	void AliCheb3DCalc::InitCols(int nc)
306	{
307	// Set max.number of significant columns in the coefs matrix
308	fNCols = nc;
309	if (fTmpCf1) delete[] fTmpCf1;
310	fTmpCf1 = new Float_t [fNCols];
311	}
312
313	//_______________________________________________
314	void AliCheb3DCalc::InitRows(int nr)
315	{
316	// Set max.number of significant rows in the coefs matrix
317	if (fNColsAtRow) delete[] fNColsAtRow;
318	if (fColAtRowBg) delete[] fColAtRowBg;
319	if (fTmpCf0) delete[] fTmpCf0;
320	fNRows = nr;
321	fNColsAtRow = new Int_t[fNRows];
322	fTmpCf0 = new Float_t [fNRows];
323	fColAtRowBg = new Int_t[fNRows];
324	for (int i=fNRows;i--;) fNColsAtRow[i] = fColAtRowBg[i] = 0;
325	}
326
327	//_______________________________________________
328	void AliCheb3DCalc::InitElemBound2D(int ne)
329	{
330	// Set max number of significant coefs for given row/column of coefs 3D matrix
331	if (fCoefBound2D0) delete[] fCoefBound2D0;
332	if (fCoefBound2D1) delete[] fCoefBound2D1;
333	fNElemBound2D = ne;
334	fCoefBound2D0 = new Int_t[fNElemBound2D];
335	fCoefBound2D1 = new Int_t[fNElemBound2D];
336	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = fCoefBound2D1[i] = 0;
337	}
338
339	//_______________________________________________
340	void AliCheb3DCalc::InitCoefs(int nc)
341	{
342	// Set total number of significant coefs
343	if (fCoefs) delete[] fCoefs;
344	fNCoefs = nc;
345	fCoefs = new Float_t [fNCoefs];
346	for (int i=fNCoefs;i--;) fCoefs[i] = 0.0;
347	}
348
40389866	349	//__________________________________________________________________________________________
	350	Float_t AliCheb3DCalc::ChebEval1Deriv(Float_t x, const Float_t * array, int ncf )
	351	{
	352	// evaluate 1D Chebyshev parameterization's derivative. x is the argument mapped to [-1:1] interval
	353	if (--ncf<2) return 0;
	354	Float_t b0, b1, b2;
	355	Float_t x2 = x+x;
	356	b1 = b2 = 0;
	357	float dcf0=0,dcf1,dcf2=0;
	358	b0 = dcf1 = 2ncfarray[ncf];
	359	if (!(--ncf)) dcf0 = dcf1;
	360	//
	361	for (int i=ncf;i--;) {
	362	b2 = b1;
	363	b1 = b0;
	364	dcf0 = dcf2 + 2(i+1)array[i+1];
	365	b0 = dcf0 + x2*b1 -b2;
	366	dcf2 = dcf1;
	367	dcf1 = dcf0;
	368	}
	369	//
	370	return b0 - x*b1 - dcf0/2;
	371	}