+++ /dev/null
-/**************************************************************************
- * 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;
-}
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