-#ifndef ALICHEB3D_H
-#define ALICHEB3D_H
-/* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
- * See cxx source for full Copyright notice */
-
-/* $Id$ */
-
// Author: ruben.shahoyan@cern.ch 09/09/2006
-//
+
////////////////////////////////////////////////////////////////////////////////
// //
// AliCheb3D produces the interpolation of the user 3D->NDimOut arbitrary //
////////////////////////////////////////////////////////////////////////////////
-#include <stdio.h>
+#ifndef ALICHEB3D_H
+#define ALICHEB3D_H
+
#include <TNamed.h>
-#include <TMethodCall.h>
-#include <TMath.h>
-#include <TH1.h>
#include <TObjArray.h>
-
#include "AliCheb3DCalc.h"
class TString;
class TSystem;
class TRandom;
-// to decrease the compilable code size comment this define. This will exclude the routines
-// used for the calculation and saving of the coefficients.
-// #define _INC_CREATION_ALICHEB3D_
+class TH1;
+class TMethodCall;
+class TRandom;
+class TROOT;
+class stdio;
+
+
+
class AliCheb3D: public TNamed
{
public:
- AliCheb3D();
- AliCheb3D(const char* inpFile); // read coefs from text file
- AliCheb3D(FILE* file); // read coefs from stream
- AliCheb3D(const AliCheb3D &src);
- AliCheb3D& operator= (const AliCheb3D &rhs);
-
+ AliCheb3D();
+ AliCheb3D(const AliCheb3D& src);
+ AliCheb3D(const char* inpFile);
+ AliCheb3D(FILE* stream);
//
#ifdef _INC_CREATION_ALICHEB3D_
AliCheb3D(const char* funName, Int_t DimOut, Float_t *bmin,Float_t *bmax, Int_t *npoints, Float_t prec=1E-6);
AliCheb3D(void (*ptr)(float*,float*), Int_t DimOut, Float_t *bmin,Float_t *bmax, Int_t *npoints, Float_t prec=1E-6);
+ AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Int_t *npX,Int_t *npY,Int_t *npZ, Float_t prec=1E-6);
+ AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Float_t prec=1E-6);
#endif
//
~AliCheb3D() {Clear();}
//
- void Eval(Float_t *par,Float_t *res);
- Float_t Eval(Float_t *par,int idim);
- void Print(Option_t* opt="") const;
- Bool_t IsInside(Float_t *par) const;
+ AliCheb3D& operator=(const AliCheb3D& rhs);
+ void Eval(const Float_t *par,Float_t *res);
+ Float_t Eval(const Float_t *par,int idim);
+ //
+ void EvalDeriv(int dimd, const Float_t *par, Float_t *res);
+ void EvalDeriv2(int dimd1, int dimd2, const Float_t *par,Float_t *res);
+ Float_t EvalDeriv(int dimd, const Float_t *par, int idim);
+ Float_t EvalDeriv2(int dimd1,int dimd2, const Float_t *par, int idim);
+ void EvalDeriv3D(const Float_t *par, Float_t dbdr[3][3]);
+ void EvalDeriv3D2(const Float_t *par, Float_t dbdrdr[3][3][3]);
+ void Print(const Option_t* opt="") const;
+ Bool_t IsInside(const Float_t *par) const;
+ Bool_t IsInside(const Double_t *par) const;
AliCheb3DCalc* GetChebCalc(int i) const {return (AliCheb3DCalc*)fChebCalc.UncheckedAt(i);}
Float_t GetBoundMin(int i) const {return fBMin[i];}
Float_t GetBoundMax(int i) const {return fBMax[i];}
+ Float_t* GetBoundMin() const {return (float*)fBMin;}
+ Float_t* GetBoundMax() const {return (float*)fBMax;}
Float_t GetPrecision() const {return fPrec;}
void ShiftBound(int id,float dif);
//
void LoadData(FILE* stream);
//
#ifdef _INC_CREATION_ALICHEB3D_
+ int* GetNCNeeded(float xyz[3],int DimVar, float mn,float mx, float prec);
+ void EstimateNPoints(float Prec, int gridBC[3][3]);
void SaveData(const char* outfile,Bool_t append=kFALSE) const;
void SaveData(FILE* stream=stdout) const;
//
void SetUsrFunction(const char* name);
void SetUsrFunction(void (*ptr)(float*,float*));
- void EvalUsrFunction(Float_t *x, Float_t *res);
+ void EvalUsrFunction(const Float_t *x, const Float_t *res);
TH1* TestRMS(int idim,int npoints = 1000,TH1* histo=0);
+ static Int_t CalcChebCoefs(const Float_t *funval,int np, Float_t *outCoefs, Float_t prec=-1);
#endif
//
protected:
- void Init0();
- void Clear(Option_t* option = "");
- void SetDimOut(int d);
- void PrepareBoundaries(Float_t *bmin,Float_t *bmax);
+ void Clear(const Option_t* option = "");
+ void SetDimOut(const int d);
+ void PrepareBoundaries(const Float_t *bmin,const Float_t *bmax);
//
#ifdef _INC_CREATION_ALICHEB3D_
void EvalUsrFunction();
void DefineGrid(Int_t* npoints);
Int_t ChebFit(); // fit all output dimensions
Int_t ChebFit(int dmOut);
- Int_t CalcChebCoefs(Float_t *funval,int np, Float_t *outCoefs, Float_t prec=-1);
#endif
//
- void Cyl2CartCyl(float *rphiz, float *b) const;
- void Cart2Cyl(float *xyz,float *rphiz) const;
- //
- Float_t MapToInternal(Float_t x,Int_t d) const {return (x-fBOffset[d])*fBScale[d];} // map x to [-1:1]
+ Float_t MapToInternal(Float_t x,Int_t d) const; // map x to [-1:1]
Float_t MapToExternal(Float_t x,Int_t d) const {return x/fBScale[d]+fBOffset[d];} // map from [-1:1] to x
- //
+ //
protected:
Int_t fDimOut; // dimension of the ouput array
Float_t fPrec; // requested precision
ClassDef(AliCheb3D,1) // Chebyshev parametrization for 3D->N function
};
-// Pointer on user function (faster altrnative to TMethodCall)
-#ifdef _INC_CREATION_ALICHEB3D_
-void (*gUsrFunAliCheb3D) (float* ,float* );
-#endif
-
//__________________________________________________________________________________________
-#ifdef _INC_CREATION_ALICHEB3D_
-inline void AliCheb3D::EvalUsrFunction()
+inline Bool_t AliCheb3D::IsInside(const Float_t *par) const
{
- // call user supplied function
- if (gUsrFunAliCheb3D) gUsrFunAliCheb3D(fArgsTmp,fResTmp);
- else fUsrMacro->Execute();
+ // check if the point is inside of the fitted box
+ const float kTol = 1.e-4;
+ for (int i=3;i--;) if (fBMin[i]-par[i]>kTol || par[i]-fBMax[i]>kTol) return kFALSE;
+ //if(par[i]<fBMin[i]||par[i]>fBMax[i]) return kFALSE;
+ return kTRUE;
}
-#endif
//__________________________________________________________________________________________
-inline Bool_t AliCheb3D::IsInside(Float_t *par) const
+inline Bool_t AliCheb3D::IsInside(const Double_t *par) const
{
// check if the point is inside of the fitted box
- for (int i=3;i--;) if(par[i]<fBMin[i]||par[i]>fBMax[i]) return kFALSE;
+ const float kTol = 1.e-4;
+ for (int i=3;i--;) if (fBMin[i]-par[i]>kTol || par[i]-fBMax[i]>kTol) return kFALSE;
+ //if(par[i]<fBMin[i]||par[i]>fBMax[i]) return kFALSE;
return kTRUE;
}
//__________________________________________________________________________________________
-inline void AliCheb3D::Eval(Float_t *par, Float_t *res)
+inline void AliCheb3D::Eval(const Float_t *par, Float_t *res)
{
// evaluate Chebyshev parameterization for 3d->DimOut function
for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
}
//__________________________________________________________________________________________
-inline Float_t AliCheb3D::Eval(Float_t *par, int idim)
+inline Float_t AliCheb3D::Eval(const Float_t *par, int idim)
{
// evaluate Chebyshev parameterization for idim-th output dimension of 3d->DimOut function
for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
//
}
-//__________________________________________________________________________________________________
-inline void AliCheb3D::Cyl2CartCyl(float *rphiz, float *b) const
+//__________________________________________________________________________________________
+inline void AliCheb3D::EvalDeriv3D(const Float_t *par, Float_t dbdr[3][3])
{
- // convert field in cylindrical coordinates to cartesian system, point is in cyl.system
- float btr = TMath::Sqrt(b[0]*b[0]+b[1]*b[1]);
- float ang = TMath::ATan2(b[1],b[0]) + rphiz[1];
- b[0] = btr*TMath::Cos(ang);
- b[1] = btr*TMath::Sin(ang);
+ // return gradient matrix
+ for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
+ for (int ib=3;ib--;) for (int id=3;id--;) dbdr[ib][id] = GetChebCalc(ib)->EvalDeriv(id,fArgsTmp)*fBScale[id];
+}
+
+//__________________________________________________________________________________________
+inline void AliCheb3D::EvalDeriv3D2(const Float_t *par, Float_t dbdrdr[3][3][3])
+{
+ // return gradient matrix
+ for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
+ for (int ib=3;ib--;) for (int id=3;id--;)for (int id1=3;id1--;)
+ dbdrdr[ib][id][id1] = GetChebCalc(ib)->EvalDeriv2(id,id1,fArgsTmp)*fBScale[id]*fBScale[id1];
+}
+
+//__________________________________________________________________________________________
+inline void AliCheb3D::EvalDeriv(int dimd, const Float_t *par, Float_t *res)
+{
+ // evaluate Chebyshev parameterization derivative for 3d->DimOut function
+ for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
+ for (int i=fDimOut;i--;) res[i] = GetChebCalc(i)->EvalDeriv(dimd,fArgsTmp)*fBScale[dimd];;
//
}
-//__________________________________________________________________________________________________
-inline void AliCheb3D::Cart2Cyl(float *xyz,float *rphiz) const
+//__________________________________________________________________________________________
+inline void AliCheb3D::EvalDeriv2(int dimd1,int dimd2, const Float_t *par, Float_t *res)
+{
+ // evaluate Chebyshev parameterization 2nd derivative over dimd1 and dimd2 dimensions for 3d->DimOut function
+ for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
+ for (int i=fDimOut;i--;) res[i] = GetChebCalc(i)->EvalDeriv2(dimd1,dimd2,fArgsTmp)*fBScale[dimd1]*fBScale[dimd2];
+ //
+}
+
+//__________________________________________________________________________________________
+inline Float_t AliCheb3D::EvalDeriv(int dimd, const Float_t *par, int idim)
{
- // convert cartesian coordinate to cylindrical one
- rphiz[0] = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]);
- rphiz[1] = TMath::ATan2(xyz[1],xyz[0]);
- rphiz[2] = xyz[2];
+ // evaluate Chebyshev parameterization derivative over dimd dimention for idim-th output dimension of 3d->DimOut function
+ for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
+ return GetChebCalc(idim)->EvalDeriv(dimd,fArgsTmp)*fBScale[dimd];
+ //
+}
+
+//__________________________________________________________________________________________
+inline Float_t AliCheb3D::EvalDeriv2(int dimd1,int dimd2, const Float_t *par, int idim)
+{
+ // evaluate Chebyshev parameterization 2ns derivative over dimd1 and dimd2 dimensions for idim-th output dimension of 3d->DimOut function
+ for (int i=3;i--;) fArgsTmp[i] = MapToInternal(par[i],i);
+ return GetChebCalc(idim)->EvalDeriv2(dimd1,dimd2,fArgsTmp)*fBScale[dimd1]*fBScale[dimd2];
+ //
+}
+
+//__________________________________________________________________________________________
+inline Float_t AliCheb3D::MapToInternal(Float_t x,Int_t d) const
+{
+ // map x to [-1:1]
+#ifdef _BRING_TO_BOUNDARY_
+ float res = (x-fBOffset[d])*fBScale[d];
+ if (res<-1) return -1;
+ if (res> 1) return 1;
+ return res;
+#else
+ return (x-fBOffset[d])*fBScale[d];
+#endif
}
#endif
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff