[u/mrichter/AliRoot.git] / STEER / STEERBase / 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),
  fPrec(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), 
  fPrec(src.fPrec)
{
  // 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),
  fPrec(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;    
    fPrec   = rhs.fPrec;
    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. Prec:%e\n",GetName(),fPrec);
  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,"# Precision\n");
  fprintf(stream,"%+.8e\n",fPrec);
  //
  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();
  }
  //
  // read precision
  ReadLine(buffs,stream);
  fPrec = 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),
f69ec3f4	34	fTmpCf0(0),
f69ec3f4	35	fPrec(0)
5406439e	36	{
	37	// default constructor
	38	}
99adacae	39
40389866	40	//__________________________________________________________________________________________
	41	AliCheb3DCalc::AliCheb3DCalc(const AliCheb3DCalc& src) :
	42	TNamed(src),
	43	fNCoefs(src.fNCoefs),
	44	fNRows(src.fNRows),
	45	fNCols(src.fNCols),
	46	fNElemBound2D(src.fNElemBound2D),
	47	fNColsAtRow(0),
	48	fColAtRowBg(0),
	49	fCoefBound2D0(0),
	50	fCoefBound2D1(0),
	51	fCoefs(0),
	52	fTmpCf1(0),
f69ec3f4	53	fTmpCf0(0),
f69ec3f4	54	fPrec(src.fPrec)
99adacae	55	{
5406439e	56	// copy constructor
5406439e	57	//
40389866	58	if (src.fNColsAtRow) {
1d18ebe0	59	fNColsAtRow = new UShort_t[fNRows];
40389866	60	for (int i=fNRows;i--;) fNColsAtRow[i] = src.fNColsAtRow[i];
	61	}
	62	if (src.fColAtRowBg) {
1d18ebe0	63	fColAtRowBg = new UShort_t[fNRows];
40389866	64	for (int i=fNRows;i--;) fColAtRowBg[i] = src.fColAtRowBg[i];
	65	}
	66	if (src.fCoefBound2D0) {
1d18ebe0	67	fCoefBound2D0 = new UShort_t[fNElemBound2D];
40389866	68	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = src.fCoefBound2D0[i];
	69	}
	70	if (src.fCoefBound2D1) {
1d18ebe0	71	fCoefBound2D1 = new UShort_t[fNElemBound2D];
40389866	72	for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = src.fCoefBound2D1[i];
	73	}
	74	if (src.fCoefs) {
	75	fCoefs = new Float_t[fNCoefs];
	76	for (int i=fNCoefs;i--;) fCoefs[i] = src.fCoefs[i];
	77	}
	78	if (src.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
	79	if (src.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
99adacae	80	}
99adacae	81
40389866	82	//__________________________________________________________________________________________
	83	AliCheb3DCalc::AliCheb3DCalc(FILE* stream) :
	84	fNCoefs(0),
	85	fNRows(0),
	86	fNCols(0),
	87	fNElemBound2D(0),
	88	fNColsAtRow(0),
	89	fColAtRowBg(0),
	90	fCoefBound2D0(0),
	91	fCoefBound2D1(0),
	92	fCoefs(0),
	93	fTmpCf1(0),
f69ec3f4	94	fTmpCf0(0),
f69ec3f4	95	fPrec(0)
99adacae	96	{
5406439e	97	// constructor from coeffs. streem
40389866	98	LoadData(stream);
99adacae	99	}
99adacae	100
40389866	101	//__________________________________________________________________________________________
40389866	102	AliCheb3DCalc& AliCheb3DCalc::operator=(const AliCheb3DCalc& rhs)
99adacae	103	{
5406439e	104	// assignment operator
40389866	105	if (this != &rhs) {
	106	Clear();
	107	SetName(rhs.GetName());
	108	SetTitle(rhs.GetTitle());
	109	fNCoefs = rhs.fNCoefs;
	110	fNRows = rhs.fNRows;
	111	fNCols = rhs.fNCols;
f69ec3f4	112	fPrec = rhs.fPrec;
40389866	113	if (rhs.fNColsAtRow) {
1d18ebe0	114	fNColsAtRow = new UShort_t[fNRows];
40389866	115	for (int i=fNRows;i--;) fNColsAtRow[i] = rhs.fNColsAtRow[i];
99adacae	116	}
40389866	117	if (rhs.fColAtRowBg) {
1d18ebe0	118	fColAtRowBg = new UShort_t[fNRows];
40389866	119	for (int i=fNRows;i--;) fColAtRowBg[i] = rhs.fColAtRowBg[i];
99adacae	120	}
40389866	121	if (rhs.fCoefBound2D0) {
1d18ebe0	122	fCoefBound2D0 = new UShort_t[fNElemBound2D];
40389866	123	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = rhs.fCoefBound2D0[i];
99adacae	124	}
40389866	125	if (rhs.fCoefBound2D1) {
1d18ebe0	126	fCoefBound2D1 = new UShort_t[fNElemBound2D];
40389866	127	for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = rhs.fCoefBound2D1[i];
99adacae	128	}
40389866	129	if (rhs.fCoefs) {
	130	fCoefs = new Float_t[fNCoefs];
	131	for (int i=fNCoefs;i--;) fCoefs[i] = rhs.fCoefs[i];
99adacae	132	}
40389866	133	if (rhs.fTmpCf1) fTmpCf1 = new Float_t[fNCols];
	134	if (rhs.fTmpCf0) fTmpCf0 = new Float_t[fNRows];
	135	}
	136	return *this;
99adacae	137	}
	138
	139	//__________________________________________________________________________________________
5406439e	140	void AliCheb3DCalc::Clear(const Option_t*)
99adacae	141	{
	142	// delete all dynamycally allocated structures
	143	if (fTmpCf1) { delete[] fTmpCf1; fTmpCf1 = 0;}
	144	if (fTmpCf0) { delete[] fTmpCf0; fTmpCf0 = 0;}
	145	if (fCoefs) { delete[] fCoefs; fCoefs = 0;}
	146	if (fCoefBound2D0) { delete[] fCoefBound2D0; fCoefBound2D0 = 0; }
	147	if (fCoefBound2D1) { delete[] fCoefBound2D1; fCoefBound2D1 = 0; }
	148	if (fNColsAtRow) { delete[] fNColsAtRow; fNColsAtRow = 0; }
	149	if (fColAtRowBg) { delete[] fColAtRowBg; fColAtRowBg = 0; }
	150	//
	151	}
	152
99adacae	153	//__________________________________________________________________________________________
5406439e	154	void AliCheb3DCalc::Print(const Option_t* ) const
99adacae	155	{
5406439e	156	// print info
f69ec3f4	157	printf("Chebyshev parameterization data %s for 3D->1 function. Prec:%e\n",GetName(),fPrec);
99adacae	158	int nmax3d = 0;
	159	for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
	160	printf("%d coefficients in %dx%dx%d matrix\n",fNCoefs,fNRows,fNCols,nmax3d);
	161	//
	162	}
	163
40389866	164	//__________________________________________________________________________________________
5406439e	165	Float_t AliCheb3DCalc::EvalDeriv(int dim, const Float_t *par) const
40389866	166	{
	167	// evaluate Chebyshev parameterization derivative in given dimension for 3D function.
	168	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
40389866	169	//
	170	int ncfRC;
	171	for (int id0=fNRows;id0--;) {
	172	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
1cf34ee8	173	if (!nCLoc) {fTmpCf0[id0]=0; continue;}
1cf34ee8	174	//
5406439e	175	int col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
40389866	176	for (int id1=nCLoc;id1--;) {
5406439e	177	int id = id1+col0;
1cf34ee8	178	if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
ff66b122	179	if (dim==2) fTmpCf1[id1] = ChebEval1Deriv(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
ff66b122	180	else fTmpCf1[id1] = ChebEval1D(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
40389866	181	}
ff66b122	182	if (dim==1) fTmpCf0[id0] = ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
ff66b122	183	else fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
40389866	184	}
ff66b122	185	return (dim==0) ? ChebEval1Deriv(par[0],fTmpCf0,fNRows) : ChebEval1D(par[0],fTmpCf0,fNRows);
40389866	186	//
	187	}
	188
1cf34ee8	189	//__________________________________________________________________________________________
5406439e	190	Float_t AliCheb3DCalc::EvalDeriv2(int dim1,int dim2, const Float_t *par) const
1cf34ee8	191	{
	192	// evaluate Chebyshev parameterization 2n derivative in given dimensions for 3D function.
	193	// VERY IMPORTANT: par must contain the function arguments ALREADY MAPPED to [-1:1] interval
1cf34ee8	194	//
	195	Bool_t same = dim1==dim2;
	196	int ncfRC;
	197	for (int id0=fNRows;id0--;) {
	198	int nCLoc = fNColsAtRow[id0]; // number of significant coefs on this row
	199	if (!nCLoc) {fTmpCf0[id0]=0; continue;}
	200	//
5406439e	201	int col0 = fColAtRowBg[id0]; // beginning of local column in the 2D boundary matrix
1cf34ee8	202	for (int id1=nCLoc;id1--;) {
5406439e	203	int id = id1+col0;
1cf34ee8	204	if (!(ncfRC=fCoefBound2D0[id])) { fTmpCf1[id1]=0; continue;}
ff66b122	205	if (dim1==2\|\|dim2==2) fTmpCf1[id1] = same ? ChebEval1Deriv2(par[2],fCoefs + fCoefBound2D1[id], ncfRC)
	206	: ChebEval1Deriv(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
	207	else fTmpCf1[id1] = ChebEval1D(par[2],fCoefs + fCoefBound2D1[id], ncfRC);
1cf34ee8	208	}
ff66b122	209	if (dim1==1\|\|dim2==1) fTmpCf0[id0] = same ? ChebEval1Deriv2(par[1],fTmpCf1,nCLoc):ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
ff66b122	210	else fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
1cf34ee8	211	}
ff66b122	212	return (dim1==0\|\|dim2==0) ? (same ? ChebEval1Deriv2(par[0],fTmpCf0,fNRows):ChebEval1Deriv(par[0],fTmpCf0,fNRows)) :
ff66b122	213	ChebEval1D(par[0],fTmpCf0,fNRows);
1cf34ee8	214	//
	215	}
	216
99adacae	217	//_______________________________________________
	218	#ifdef _INC_CREATION_ALICHEB3D_
	219	void AliCheb3DCalc::SaveData(const char* outfile,Bool_t append) const
	220	{
	221	// writes coefficients data to output text file, optionallt appending on the end of existing file
	222	TString strf = outfile;
	223	gSystem->ExpandPathName(strf);
	224	FILE* stream = fopen(strf,append ? "a":"w");
	225	SaveData(stream);
	226	fclose(stream);
	227	//
	228	}
	229	#endif
	230
	231	//_______________________________________________
	232	#ifdef _INC_CREATION_ALICHEB3D_
	233	void AliCheb3DCalc::SaveData(FILE* stream) const
	234	{
	235	// writes coefficients data to existing output stream
	236	// Note: fNCols, fNElemBound2D and fColAtRowBg is not stored, will be computed on fly during the loading of this file
	237	fprintf(stream,"#\nSTART %s\n",GetName());
	238	fprintf(stream,"# Number of rows\n%d\n",fNRows);
	239	//
	240	fprintf(stream,"# Number of columns per row\n");
	241	for (int i=0;i<fNRows;i++) fprintf(stream,"%d\n",fNColsAtRow[i]);
	242	//
	243	fprintf(stream,"# Number of Coefs in each significant block of third dimension\n");
	244	for (int i=0;i<fNElemBound2D;i++) fprintf(stream,"%d\n",fCoefBound2D0[i]);
	245	//
	246	fprintf(stream,"# Coefficients\n");
	247	for (int i=0;i<fNCoefs;i++) fprintf(stream,"%+.8e\n",fCoefs[i]);
f69ec3f4	248	//
	249	fprintf(stream,"# Precision\n");
	250	fprintf(stream,"%+.8e\n",fPrec);
	251	//
99adacae	252	fprintf(stream,"END %s\n",GetName());
	253	//
	254	}
	255	#endif
	256
	257	//_______________________________________________
	258	void AliCheb3DCalc::LoadData(FILE* stream)
	259	{
	260	// Load coefs. from the stream
	261	if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
	262	TString buffs;
	263	Clear();
	264	ReadLine(buffs,stream);
	265	if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
	266	if (buffs.First(' ')>0) SetName(buffs.Data()+buffs.First(' ')+1);
	267	//
	268	ReadLine(buffs,stream); // NRows
	269	fNRows = buffs.Atoi();
	270	if (fNRows<1) {Error("LoadData","Expected: '<number_of_rows>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
	271	//
	272	fNCols = 0;
	273	fNElemBound2D = 0;
	274	InitRows(fNRows);
	275	//
	276	for (int id0=0;id0<fNRows;id0++) {
	277	ReadLine(buffs,stream); // n.cols at this row
	278	fNColsAtRow[id0] = buffs.Atoi();
	279	fColAtRowBg[id0] = fNElemBound2D; // begining of this row in 2D boundary surface
	280	fNElemBound2D += fNColsAtRow[id0];
	281	if (fNCols<fNColsAtRow[id0]) fNCols = fNColsAtRow[id0];
	282	}
	283	InitCols(fNCols);
	284	//
	285	fNCoefs = 0;
	286	InitElemBound2D(fNElemBound2D);
	287	//
	288	for (int i=0;i<fNElemBound2D;i++) {
	289	ReadLine(buffs,stream); // n.coeffs at 3-d dimension for the given column/row
	290	fCoefBound2D0[i] = buffs.Atoi();
	291	fCoefBound2D1[i] = fNCoefs;
	292	fNCoefs += fCoefBound2D0[i];
	293	}
	294	//
	295	if (fNCoefs<=0) {Error("LoadData","Negtive (%d) number of Chebychef coeffs. is obtained.\nStop\n",fNCoefs);exit(1);}
	296	//
	297	InitCoefs(fNCoefs);
	298	for (int i=0;i<fNCoefs;i++) {
	299	ReadLine(buffs,stream);
	300	fCoefs[i] = buffs.Atof();
	301	}
f69ec3f4	302	//
	303	// read precision
	304	ReadLine(buffs,stream);
	305	fPrec = buffs.Atof();
	306	//
99adacae	307	// check end_of_data record
	308	ReadLine(buffs,stream);
	309	if (!buffs.BeginsWith("END") \|\| !buffs.Contains(GetName())) {
	310	Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
	311	exit(1);
	312	}
	313	//
	314	}
	315
	316	//_______________________________________________
	317	void AliCheb3DCalc::ReadLine(TString& str,FILE* stream)
	318	{
	319	// read single line from the stream, skipping empty and commented lines. EOF is not expected
	320	while (str.Gets(stream)) {
	321	str = str.Strip(TString::kBoth,' ');
	322	if (str.IsNull()\|\|str.BeginsWith("#")) continue;
	323	return;
	324	}
	325	fprintf(stderr,"AliCheb3D::ReadLine: Failed to read from stream.\nStop");exit(1); // normally, should not reach here
	326	}
	327
	328	//_______________________________________________
	329	void AliCheb3DCalc::InitCols(int nc)
	330	{
	331	// Set max.number of significant columns in the coefs matrix
	332	fNCols = nc;
	333	if (fTmpCf1) delete[] fTmpCf1;
	334	fTmpCf1 = new Float_t [fNCols];
	335	}
	336
	337	//_______________________________________________
	338	void AliCheb3DCalc::InitRows(int nr)
	339	{
	340	// Set max.number of significant rows in the coefs matrix
	341	if (fNColsAtRow) delete[] fNColsAtRow;
	342	if (fColAtRowBg) delete[] fColAtRowBg;
	343	if (fTmpCf0) delete[] fTmpCf0;
	344	fNRows = nr;
1d18ebe0	345	fNColsAtRow = new UShort_t[fNRows];
99adacae	346	fTmpCf0 = new Float_t [fNRows];
1d18ebe0	347	fColAtRowBg = new UShort_t[fNRows];
99adacae	348	for (int i=fNRows;i--;) fNColsAtRow[i] = fColAtRowBg[i] = 0;
	349	}
	350
	351	//_______________________________________________
	352	void AliCheb3DCalc::InitElemBound2D(int ne)
	353	{
	354	// Set max number of significant coefs for given row/column of coefs 3D matrix
	355	if (fCoefBound2D0) delete[] fCoefBound2D0;
	356	if (fCoefBound2D1) delete[] fCoefBound2D1;
	357	fNElemBound2D = ne;
1d18ebe0	358	fCoefBound2D0 = new UShort_t[fNElemBound2D];
1d18ebe0	359	fCoefBound2D1 = new UShort_t[fNElemBound2D];
99adacae	360	for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = fCoefBound2D1[i] = 0;
	361	}
	362
	363	//_______________________________________________
	364	void AliCheb3DCalc::InitCoefs(int nc)
	365	{
	366	// Set total number of significant coefs
	367	if (fCoefs) delete[] fCoefs;
	368	fNCoefs = nc;
	369	fCoefs = new Float_t [fNCoefs];
	370	for (int i=fNCoefs;i--;) fCoefs[i] = 0.0;
	371	}
	372
40389866	373	//__________________________________________________________________________________________
	374	Float_t AliCheb3DCalc::ChebEval1Deriv(Float_t x, const Float_t * array, int ncf )
	375	{
	376	// evaluate 1D Chebyshev parameterization's derivative. x is the argument mapped to [-1:1] interval
1cf34ee8	377	if (--ncf<1) return 0;
40389866	378	Float_t b0, b1, b2;
	379	Float_t x2 = x+x;
	380	b1 = b2 = 0;
	381	float dcf0=0,dcf1,dcf2=0;
	382	b0 = dcf1 = 2ncfarray[ncf];
1cf34ee8	383	if (!(--ncf)) return b0/2;
40389866	384	//
	385	for (int i=ncf;i--;) {
	386	b2 = b1;
	387	b1 = b0;
	388	dcf0 = dcf2 + 2(i+1)array[i+1];
	389	b0 = dcf0 + x2*b1 -b2;
	390	dcf2 = dcf1;
	391	dcf1 = dcf0;
	392	}
	393	//
	394	return b0 - x*b1 - dcf0/2;
	395	}
1cf34ee8	396
	397	//__________________________________________________________________________________________
	398	Float_t AliCheb3DCalc::ChebEval1Deriv2(Float_t x, const Float_t * array, int ncf )
	399	{
	400	// evaluate 1D Chebyshev parameterization's 2nd derivative. x is the argument mapped to [-1:1] interval
	401	if (--ncf<2) return 0;
	402	Float_t b0, b1, b2;
	403	Float_t x2 = x+x;
	404	b1 = b2 = 0;
	405	float dcf0=0,dcf1=0,dcf2=0;
	406	float ddcf0=0,ddcf1,ddcf2=0;
	407	//
	408	dcf2 = 2ncfarray[ncf];
	409	--ncf;
	410
	411	dcf1 = 2ncfarray[ncf];
	412	b0 = ddcf1 = 2ncfdcf2;
	413	//
	414	if (!(--ncf)) return b0/2;
	415	//
	416	for (int i=ncf;i--;) {
	417	b2 = b1;
	418	b1 = b0;
	419	dcf0 = dcf2 + 2(i+1)array[i+1];
	420	ddcf0 = ddcf2 + 2(i+1)dcf1;
	421	b0 = ddcf0 + x2*b1 -b2;
	422	//
	423	ddcf2 = ddcf1;
	424	ddcf1 = ddcf0;
	425	//
	426	dcf2 = dcf1;
	427	dcf1 = dcf0;
	428	//
	429	}
	430	//
	431	return b0 - x*b1 - ddcf0/2;
	432	}
2572efdf	433
	434	//__________________________________________________________________________________________
	435	Int_t AliCheb3DCalc::GetMaxColsAtRow() const
	436	{
	437	int nmax3d = 0;
	438	for (int i=fNElemBound2D;i--;) if (fCoefBound2D0[i]>nmax3d) nmax3d = fCoefBound2D0[i];
	439	return nmax3d;
	440	}