[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.                  *
 **************************************************************************/

#include <cstdlib>
#include <TSystem.h>
#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)
{
  // default constructor
}

//__________________________________________________________________________________________
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)
{
  // copy constructor
  //
  if (src.fNColsAtRow) {
    fNColsAtRow = new UShort_t[fNRows]; 
    for (int i=fNRows;i--;) fNColsAtRow[i] = src.fNColsAtRow[i];
  }
  if (src.fColAtRowBg) {
    fColAtRowBg = new UShort_t[fNRows]; 
    for (int i=fNRows;i--;) fColAtRowBg[i] = src.fColAtRowBg[i];
  }
  if (src.fCoefBound2D0) {
    fCoefBound2D0 = new UShort_t[fNElemBound2D];
    for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = src.fCoefBound2D0[i];
  }
  if (src.fCoefBound2D1) {
    fCoefBound2D1 = new UShort_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)
{
  // constructor from coeffs. streem
  LoadData(stream);
}

//__________________________________________________________________________________________
AliCheb3DCalc& AliCheb3DCalc::operator=(const AliCheb3DCalc& rhs)
{
  // assignment operator
  if (this != &rhs) {
    Clear();
    SetName(rhs.GetName());
    SetTitle(rhs.GetTitle());
    fNCoefs = rhs.fNCoefs;
    fNRows  = rhs.fNRows;
    fNCols  = rhs.fNCols;    
    if (rhs.fNColsAtRow) {
      fNColsAtRow = new UShort_t[fNRows]; 
      for (int i=fNRows;i--;) fNColsAtRow[i] = rhs.fNColsAtRow[i];
    }
    if (rhs.fColAtRowBg) {
      fColAtRowBg = new UShort_t[fNRows]; 
      for (int i=fNRows;i--;) fColAtRowBg[i] = rhs.fColAtRowBg[i];
    }
    if (rhs.fCoefBound2D0) {
      fCoefBound2D0 = new UShort_t[fNElemBound2D];
      for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = rhs.fCoefBound2D0[i];
    }
    if (rhs.fCoefBound2D1) {
      fCoefBound2D1 = new UShort_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(const 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(const Option_t* ) const
{
  // print info
  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::EvalDeriv(int dim, const 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
  //
  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(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
      else        fTmpCf1[id1] = ChebEval1D(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
    }
    if (dim==1)   fTmpCf0[id0] = ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
    else          fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
  }
  return (dim==0) ? ChebEval1Deriv(par[0],fTmpCf0,fNRows) : ChebEval1D(par[0],fTmpCf0,fNRows);
  //
}

//__________________________________________________________________________________________
Float_t  AliCheb3DCalc::EvalDeriv2(int dim1,int dim2, const 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
  //
  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(par[2],fCoefs + fCoefBound2D1[id], ncfRC) 
			      :                   ChebEval1Deriv(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
      else        fTmpCf1[id1] = ChebEval1D(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
    }
    if (dim1==1||dim2==1) fTmpCf0[id0] = same ? ChebEval1Deriv2(par[1],fTmpCf1,nCLoc):ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
    else                  fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
  }
  return (dim1==0||dim2==0) ? (same ? ChebEval1Deriv2(par[0],fTmpCf0,fNRows):ChebEval1Deriv(par[0],fTmpCf0,fNRows)) : 
    ChebEval1D(par[0],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 UShort_t[fNRows];
  fTmpCf0     = new Float_t [fNRows];
  fColAtRowBg = new UShort_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 UShort_t[fNElemBound2D];
  fCoefBound2D1 = new UShort_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;
}

//__________________________________________________________________________________________
Int_t AliCheb3DCalc::GetMaxColsAtRow() const
{
  int nmax3d = 0; 
  for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
  return nmax3d;
}
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
b09247a2	16	#include <cstdlib>
5406439e	17	#include <TSystem.h>
ff66b122	18	#include "AliCheb3DCalc.h"
99adacae	19
	20	ClassImp(AliCheb3DCalc)
	21
40389866	22	//__________________________________________________________________________________________
	23	AliCheb3DCalc::AliCheb3DCalc() :
	24	fNCoefs(0),
	25	fNRows(0),
	26	fNCols(0),
	27	fNElemBound2D(0),
	28	fNColsAtRow(0),
	29	fColAtRowBg(0),
	30	fCoefBound2D0(0),
	31	fCoefBound2D1(0),
	32	fCoefs(0),
	33	fTmpCf1(0),
	34	fTmpCf0(0)
5406439e	35	{
	36	// default constructor
	37	}
99adacae	38
40389866	39	//__________________________________________________________________________________________
	40	AliCheb3DCalc::AliCheb3DCalc(const AliCheb3DCalc& src) :
	41	TNamed(src),
	42	fNCoefs(src.fNCoefs),
	43	fNRows(src.fNRows),
	44	fNCols(src.fNCols),
	45	fNElemBound2D(src.fNElemBound2D),
	46	fNColsAtRow(0),
	47	fColAtRowBg(0),
	48	fCoefBound2D0(0),
	49	fCoefBound2D1(0),
	50	fCoefs(0),
	51	fTmpCf1(0),
	52	fTmpCf0(0)
99adacae	53	{
5406439e	54	// copy constructor
5406439e	55	//
40389866	56	if (src.fNColsAtRow) {
1d18ebe0	57	fNColsAtRow = new UShort_t[fNRows];
40389866	58	for (int i=fNRows;i--;) fNColsAtRow[i] = src.fNColsAtRow[i];
	59	}
	60	if (src.fColAtRowBg) {
1d18ebe0	61	fColAtRowBg = new UShort_t[fNRows];
40389866	62	for (int i=fNRows;i--;) fColAtRowBg[i] = src.fColAtRowBg[i];
	63	}
	64	if (src.fCoefBound2D0) {
1d18ebe0	65	fCoefBound2D0 = new UShort_t[fNElemBound2D];
40389866	66	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = src.fCoefBound2D0[i];
	67	}
	68	if (src.fCoefBound2D1) {
1d18ebe0	69	fCoefBound2D1 = new UShort_t[fNElemBound2D];
40389866	70	for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = src.fCoefBound2D1[i];
	71	}
	72	if (src.fCoefs) {
	73	fCoefs = new Float_t[fNCoefs];
	74	for (int i=fNCoefs;i--;) fCoefs[i] = src.fCoefs[i];
	75	}
	76	if (src.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
	77	if (src.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
99adacae	78	}
99adacae	79
40389866	80	//__________________________________________________________________________________________
	81	AliCheb3DCalc::AliCheb3DCalc(FILE* stream) :
	82	fNCoefs(0),
	83	fNRows(0),
	84	fNCols(0),
	85	fNElemBound2D(0),
	86	fNColsAtRow(0),
	87	fColAtRowBg(0),
	88	fCoefBound2D0(0),
	89	fCoefBound2D1(0),
	90	fCoefs(0),
	91	fTmpCf1(0),
	92	fTmpCf0(0)
99adacae	93	{
5406439e	94	// constructor from coeffs. streem
40389866	95	LoadData(stream);
99adacae	96	}
99adacae	97
40389866	98	//__________________________________________________________________________________________
40389866	99	AliCheb3DCalc& AliCheb3DCalc::operator=(const AliCheb3DCalc& rhs)
99adacae	100	{
5406439e	101	// assignment operator
40389866	102	if (this != &rhs) {
	103	Clear();
	104	SetName(rhs.GetName());
	105	SetTitle(rhs.GetTitle());
	106	fNCoefs = rhs.fNCoefs;
	107	fNRows = rhs.fNRows;
	108	fNCols = rhs.fNCols;
	109	if (rhs.fNColsAtRow) {
1d18ebe0	110	fNColsAtRow = new UShort_t[fNRows];
40389866	111	for (int i=fNRows;i--;) fNColsAtRow[i] = rhs.fNColsAtRow[i];
99adacae	112	}
40389866	113	if (rhs.fColAtRowBg) {
1d18ebe0	114	fColAtRowBg = new UShort_t[fNRows];
40389866	115	for (int i=fNRows;i--;) fColAtRowBg[i] = rhs.fColAtRowBg[i];
99adacae	116	}
40389866	117	if (rhs.fCoefBound2D0) {
1d18ebe0	118	fCoefBound2D0 = new UShort_t[fNElemBound2D];
40389866	119	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = rhs.fCoefBound2D0[i];
99adacae	120	}
40389866	121	if (rhs.fCoefBound2D1) {
1d18ebe0	122	fCoefBound2D1 = new UShort_t[fNElemBound2D];
40389866	123	for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = rhs.fCoefBound2D1[i];
99adacae	124	}
40389866	125	if (rhs.fCoefs) {
	126	fCoefs = new Float_t[fNCoefs];
	127	for (int i=fNCoefs;i--;) fCoefs[i] = rhs.fCoefs[i];
99adacae	128	}
40389866	129	if (rhs.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
	130	if (rhs.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
	131	}
	132	return *this;
99adacae	133	}
	134
	135	//__________________________________________________________________________________________
5406439e	136	void AliCheb3DCalc::Clear(const Option_t*)
99adacae	137	{
	138	// delete all dynamycally allocated structures
	139	if (fTmpCf1) { delete[] fTmpCf1; fTmpCf1 = 0;}
	140	if (fTmpCf0) { delete[] fTmpCf0; fTmpCf0 = 0;}
	141	if (fCoefs) { delete[] fCoefs; fCoefs = 0;}
	142	if (fCoefBound2D0) { delete[] fCoefBound2D0; fCoefBound2D0 = 0; }
	143	if (fCoefBound2D1) { delete[] fCoefBound2D1; fCoefBound2D1 = 0; }
	144	if (fNColsAtRow) { delete[] fNColsAtRow; fNColsAtRow = 0; }
	145	if (fColAtRowBg) { delete[] fColAtRowBg; fColAtRowBg = 0; }
	146	//
	147	}
	148
99adacae	149	//__________________________________________________________________________________________
5406439e	150	void AliCheb3DCalc::Print(const Option_t* ) const
99adacae	151	{
5406439e	152	// print info
99adacae	153	printf("Chebyshev parameterization data %s for 3D->1 function.\n",GetName());
	154	int nmax3d = 0;
	155	for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
	156	printf("%d coefficients in %dx%dx%d matrix\n",fNCoefs,fNRows,fNCols,nmax3d);
	157	//
	158	}
	159
40389866	160	//__________________________________________________________________________________________
5406439e	161	Float_t AliCheb3DCalc::EvalDeriv(int dim, const Float_t *par) const
40389866	162	{
	163	// evaluate Chebyshev parameterization derivative in given dimension for 3D function.
	164	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
40389866	165	//
	166	int ncfRC;
	167	for (int id0=fNRows;id0--;) {
	168	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
1cf34ee8	169	if (!nCLoc) {fTmpCf0[id0]=0; continue;}
1cf34ee8	170	//
5406439e	171	int col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
40389866	172	for (int id1=nCLoc;id1--;) {
5406439e	173	int id = id1+col0;
1cf34ee8	174	if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
ff66b122	175	if (dim==2) fTmpCf1[id1] = ChebEval1Deriv(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
ff66b122	176	else fTmpCf1[id1] = ChebEval1D(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
40389866	177	}
ff66b122	178	if (dim==1) fTmpCf0[id0] = ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
ff66b122	179	else fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
40389866	180	}
ff66b122	181	return (dim==0) ? ChebEval1Deriv(par[0],fTmpCf0,fNRows) : ChebEval1D(par[0],fTmpCf0,fNRows);
40389866	182	//
	183	}
	184
1cf34ee8	185	//__________________________________________________________________________________________
5406439e	186	Float_t AliCheb3DCalc::EvalDeriv2(int dim1,int dim2, const Float_t *par) const
1cf34ee8	187	{
	188	// evaluate Chebyshev parameterization 2n derivative in given dimensions for 3D function.
	189	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
1cf34ee8	190	//
	191	Bool_t same = dim1==dim2;
	192	int ncfRC;
	193	for (int id0=fNRows;id0--;) {
	194	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
	195	if (!nCLoc) {fTmpCf0[id0]=0; continue;}
	196	//
5406439e	197	int col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
1cf34ee8	198	for (int id1=nCLoc;id1--;) {
5406439e	199	int id = id1+col0;
1cf34ee8	200	if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
ff66b122	201	if (dim1==2\|\|dim2==2) fTmpCf1[id1] = same ? ChebEval1Deriv2(par[2],fCoefs + fCoefBound2D1[id], ncfRC)
	202	: ChebEval1Deriv(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
	203	else fTmpCf1[id1] = ChebEval1D(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
1cf34ee8	204	}
ff66b122	205	if (dim1==1\|\|dim2==1) fTmpCf0[id0] = same ? ChebEval1Deriv2(par[1],fTmpCf1,nCLoc):ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
ff66b122	206	else fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
1cf34ee8	207	}
ff66b122	208	return (dim1==0\|\|dim2==0) ? (same ? ChebEval1Deriv2(par[0],fTmpCf0,fNRows):ChebEval1Deriv(par[0],fTmpCf0,fNRows)) :
ff66b122	209	ChebEval1D(par[0],fTmpCf0,fNRows);
1cf34ee8	210	//
	211	}
	212
99adacae	213	//_______________________________________________
	214	#ifdef _INC_CREATION_ALICHEB3D_
	215	void AliCheb3DCalc::SaveData(const char* outfile,Bool_t append) const
	216	{
	217	// writes coefficients data to output text file, optionallt appending on the end of existing file
	218	TString strf = outfile;
	219	gSystem->ExpandPathName(strf);
	220	FILE* stream = fopen(strf,append ? "a":"w");
	221	SaveData(stream);
	222	fclose(stream);
	223	//
	224	}
	225	#endif
	226
	227	//_______________________________________________
	228	#ifdef _INC_CREATION_ALICHEB3D_
	229	void AliCheb3DCalc::SaveData(FILE* stream) const
	230	{
	231	// writes coefficients data to existing output stream
	232	// Note: fNCols, fNElemBound2D and fColAtRowBg is not stored, will be computed on fly during the loading of this file
	233	fprintf(stream,"#\nSTART %s\n",GetName());
	234	fprintf(stream,"# Number of rows\n%d\n",fNRows);
	235	//
	236	fprintf(stream,"# Number of columns per row\n");
	237	for (int i=0;i<fNRows;i++) fprintf(stream,"%d\n",fNColsAtRow[i]);
	238	//
	239	fprintf(stream,"# Number of Coefs in each significant block of third dimension\n");
	240	for (int i=0;i<fNElemBound2D;i++) fprintf(stream,"%d\n",fCoefBound2D0[i]);
	241	//
	242	fprintf(stream,"# Coefficients\n");
	243	for (int i=0;i<fNCoefs;i++) fprintf(stream,"%+.8e\n",fCoefs[i]);
	244	fprintf(stream,"END %s\n",GetName());
	245	//
	246	}
	247	#endif
	248
	249	//_______________________________________________
	250	void AliCheb3DCalc::LoadData(FILE* stream)
	251	{
	252	// Load coefs. from the stream
	253	if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
	254	TString buffs;
	255	Clear();
	256	ReadLine(buffs,stream);
	257	if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
	258	if (buffs.First(' ')>0) SetName(buffs.Data()+buffs.First(' ')+1);
	259	//
	260	ReadLine(buffs,stream); // NRows
	261	fNRows = buffs.Atoi();
	262	if (fNRows<1) {Error("LoadData","Expected: '<number_of_rows>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
	263	//
	264	fNCols = 0;
	265	fNElemBound2D = 0;
	266	InitRows(fNRows);
	267	//
	268	for (int id0=0;id0<fNRows;id0++) {
	269	ReadLine(buffs,stream); // n.cols at this row
	270	fNColsAtRow[id0] = buffs.Atoi();
	271	fColAtRowBg[id0] = fNElemBound2D; // begining of this row in 2D boundary surface
	272	fNElemBound2D += fNColsAtRow[id0];
	273	if (fNCols<fNColsAtRow[id0]) fNCols = fNColsAtRow[id0];
	274	}
	275	InitCols(fNCols);
	276	//
277	fNCoefs = 0;
278	InitElemBound2D(fNElemBound2D);
279	//
280	for (int i=0;i<fNElemBound2D;i++) {
281	ReadLine(buffs,stream); // n.coeffs at 3-d dimension for the given column/row
282	fCoefBound2D0[i] = buffs.Atoi();
283	fCoefBound2D1[i] = fNCoefs;
284	fNCoefs += fCoefBound2D0[i];
285	}
286	//
287	if (fNCoefs<=0) {Error("LoadData","Negtive (%d) number of Chebychef coeffs. is obtained.\nStop\n",fNCoefs);exit(1);}
288	//
289	InitCoefs(fNCoefs);
290	for (int i=0;i<fNCoefs;i++) {
291	ReadLine(buffs,stream);
292	fCoefs[i] = buffs.Atof();
293	}
294	// check end_of_data record
295	ReadLine(buffs,stream);
296	if (!buffs.BeginsWith("END") \|\| !buffs.Contains(GetName())) {
297	Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
298	exit(1);
299	}
300	//
301	}
302
303	//_______________________________________________
304	void AliCheb3DCalc::ReadLine(TString& str,FILE* stream)
305	{
306	// read single line from the stream, skipping empty and commented lines. EOF is not expected
307	while (str.Gets(stream)) {
308	str = str.Strip(TString::kBoth,' ');
309	if (str.IsNull()\|\|str.BeginsWith("#")) continue;
310	return;
311	}
312	fprintf(stderr,"AliCheb3D::ReadLine: Failed to read from stream.\nStop");exit(1); // normally, should not reach here
313	}
314
315	//_______________________________________________
316	void AliCheb3DCalc::InitCols(int nc)
317	{
318	// Set max.number of significant columns in the coefs matrix
319	fNCols = nc;
320	if (fTmpCf1) delete[] fTmpCf1;
321	fTmpCf1 = new Float_t [fNCols];
322	}
323
324	//_______________________________________________
325	void AliCheb3DCalc::InitRows(int nr)
326	{
327	// Set max.number of significant rows in the coefs matrix
328	if (fNColsAtRow) delete[] fNColsAtRow;
329	if (fColAtRowBg) delete[] fColAtRowBg;
330	if (fTmpCf0) delete[] fTmpCf0;
331	fNRows = nr;
1d18ebe0	332	fNColsAtRow = new UShort_t[fNRows];
99adacae	333	fTmpCf0 = new Float_t [fNRows];
1d18ebe0	334	fColAtRowBg = new UShort_t[fNRows];
99adacae	335	for (int i=fNRows;i--;) fNColsAtRow[i] = fColAtRowBg[i] = 0;
	336	}
	337
	338	//_______________________________________________
	339	void AliCheb3DCalc::InitElemBound2D(int ne)
	340	{
	341	// Set max number of significant coefs for given row/column of coefs 3D matrix
	342	if (fCoefBound2D0) delete[] fCoefBound2D0;
	343	if (fCoefBound2D1) delete[] fCoefBound2D1;
	344	fNElemBound2D = ne;
1d18ebe0	345	fCoefBound2D0 = new UShort_t[fNElemBound2D];
1d18ebe0	346	fCoefBound2D1 = new UShort_t[fNElemBound2D];
99adacae	347	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = fCoefBound2D1[i] = 0;
	348	}
	349
	350	//_______________________________________________
	351	void AliCheb3DCalc::InitCoefs(int nc)
	352	{
	353	// Set total number of significant coefs
	354	if (fCoefs) delete[] fCoefs;
	355	fNCoefs = nc;
	356	fCoefs = new Float_t [fNCoefs];
	357	for (int i=fNCoefs;i--;) fCoefs[i] = 0.0;
	358	}
	359
40389866	360	//__________________________________________________________________________________________
	361	Float_t AliCheb3DCalc::ChebEval1Deriv(Float_t x, const Float_t * array, int ncf )
	362	{
	363	// evaluate 1D Chebyshev parameterization's derivative. x is the argument mapped to [-1:1] interval
1cf34ee8	364	if (--ncf<1) return 0;
40389866	365	Float_t b0, b1, b2;
	366	Float_t x2 = x+x;
	367	b1 = b2 = 0;
	368	float dcf0=0,dcf1,dcf2=0;
	369	b0 = dcf1 = 2ncfarray[ncf];
1cf34ee8	370	if (!(--ncf)) return b0/2;
40389866	371	//
	372	for (int i=ncf;i--;) {
	373	b2 = b1;
	374	b1 = b0;
	375	dcf0 = dcf2 + 2(i+1)array[i+1];
	376	b0 = dcf0 + x2*b1 -b2;
	377	dcf2 = dcf1;
	378	dcf1 = dcf0;
	379	}
	380	//
	381	return b0 - x*b1 - dcf0/2;
	382	}
1cf34ee8	383
	384	//__________________________________________________________________________________________
	385	Float_t AliCheb3DCalc::ChebEval1Deriv2(Float_t x, const Float_t * array, int ncf )
	386	{
	387	// evaluate 1D Chebyshev parameterization's 2nd derivative. x is the argument mapped to [-1:1] interval
	388	if (--ncf<2) return 0;
	389	Float_t b0, b1, b2;
	390	Float_t x2 = x+x;
	391	b1 = b2 = 0;
	392	float dcf0=0,dcf1=0,dcf2=0;
	393	float ddcf0=0,ddcf1,ddcf2=0;
	394	//
	395	dcf2 = 2ncfarray[ncf];
	396	--ncf;
	397
	398	dcf1 = 2ncfarray[ncf];
	399	b0 = ddcf1 = 2ncfdcf2;
	400	//
	401	if (!(--ncf)) return b0/2;
	402	//
	403	for (int i=ncf;i--;) {
	404	b2 = b1;
	405	b1 = b0;
	406	dcf0 = dcf2 + 2(i+1)array[i+1];
	407	ddcf0 = ddcf2 + 2(i+1)dcf1;
	408	b0 = ddcf0 + x2*b1 -b2;
	409	//
	410	ddcf2 = ddcf1;
	411	ddcf1 = ddcf0;
	412	//
	413	dcf2 = dcf1;
	414	dcf1 = dcf0;
	415	//
	416	}
	417	//
	418	return b0 - x*b1 - ddcf0/2;
	419	}
2572efdf	420
	421	//__________________________________________________________________________________________
	422	Int_t AliCheb3DCalc::GetMaxColsAtRow() const
	423	{
	424	int nmax3d = 0;
	425	for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
	426	return nmax3d;
	427	}