* provided "as is" without express or implied warranty. *
**************************************************************************/
-
-// Author: ruben.shahoyan@cern.ch 09/09/2006
-//
+#include <cstdlib>
+#include <TSystem.h>
#include "AliCheb3DCalc.h"
ClassImp(AliCheb3DCalc)
fCoefs(0),
fTmpCf1(0),
fTmpCf0(0)
-{}
+{
+ // default constructor
+}
//__________________________________________________________________________________________
AliCheb3DCalc::AliCheb3DCalc(const AliCheb3DCalc& src) :
fTmpCf1(0),
fTmpCf0(0)
{
+ // copy constructor
+ //
if (src.fNColsAtRow) {
- fNColsAtRow = new Int_t[fNRows];
+ fNColsAtRow = new UShort_t[fNRows];
for (int i=fNRows;i--;) fNColsAtRow[i] = src.fNColsAtRow[i];
}
if (src.fColAtRowBg) {
- fColAtRowBg = new Int_t[fNRows];
+ fColAtRowBg = new UShort_t[fNRows];
for (int i=fNRows;i--;) fColAtRowBg[i] = src.fColAtRowBg[i];
}
if (src.fCoefBound2D0) {
- fCoefBound2D0 = new Int_t[fNElemBound2D];
+ fCoefBound2D0 = new UShort_t[fNElemBound2D];
for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = src.fCoefBound2D0[i];
}
if (src.fCoefBound2D1) {
- fCoefBound2D1 = new Int_t[fNElemBound2D];
+ fCoefBound2D1 = new UShort_t[fNElemBound2D];
for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = src.fCoefBound2D1[i];
}
if (src.fCoefs) {
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());
fNRows = rhs.fNRows;
fNCols = rhs.fNCols;
if (rhs.fNColsAtRow) {
- fNColsAtRow = new Int_t[fNRows];
+ fNColsAtRow = new UShort_t[fNRows];
for (int i=fNRows;i--;) fNColsAtRow[i] = rhs.fNColsAtRow[i];
}
if (rhs.fColAtRowBg) {
- fColAtRowBg = new Int_t[fNRows];
+ fColAtRowBg = new UShort_t[fNRows];
for (int i=fNRows;i--;) fColAtRowBg[i] = rhs.fColAtRowBg[i];
}
if (rhs.fCoefBound2D0) {
- fCoefBound2D0 = new Int_t[fNElemBound2D];
+ fCoefBound2D0 = new UShort_t[fNElemBound2D];
for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = rhs.fCoefBound2D0[i];
}
if (rhs.fCoefBound2D1) {
- fCoefBound2D1 = new Int_t[fNElemBound2D];
+ fCoefBound2D1 = new UShort_t[fNElemBound2D];
for (int i=fNElemBound2D;i--;) fCoefBound2D1[i] = rhs.fCoefBound2D1[i];
}
if (rhs.fCoefs) {
}
//__________________________________________________________________________________________
-void AliCheb3DCalc::Clear(Option_t*)
+void AliCheb3DCalc::Clear(const Option_t*)
{
// delete all dynamycally allocated structures
if (fTmpCf1) { delete[] fTmpCf1; fTmpCf1 = 0;}
}
//__________________________________________________________________________________________
-void AliCheb3DCalc::Print(Option_t* ) const
+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];
}
//__________________________________________________________________________________________
-Float_t AliCheb3DCalc::Eval(Float_t *par) const
+Float_t AliCheb3DCalc::EvalDeriv(int dim, const Float_t *par) const
{
- // evaluate Chebyshev parameterization for 3D function.
+ // 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
+ 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;
- fTmpCf1[id1] = (ncfRC=fCoefBound2D0[id]) ? ChebEval1D(z,fCoefs + fCoefBound2D1[id], ncfRC) : 0.0;
+ 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);
}
- fTmpCf0[id0] = nCLoc>0 ? ChebEval1D(y,fTmpCf1,nCLoc):0.0;
+ if (dim==1) fTmpCf0[id0] = ChebEval1Deriv(par[1],fTmpCf1,nCLoc);
+ else fTmpCf0[id0] = ChebEval1D(par[1],fTmpCf1,nCLoc);
}
- return ChebEval1D(x,fTmpCf0,fNRows);
+ return (dim==0) ? ChebEval1Deriv(par[0],fTmpCf0,fNRows) : ChebEval1D(par[0],fTmpCf0,fNRows);
//
}
//__________________________________________________________________________________________
-Float_t AliCheb3DCalc::EvalDeriv(int dim, Float_t *par) const
+Float_t AliCheb3DCalc::EvalDeriv2(int dim1,int dim2, const Float_t *par) const
{
- // evaluate Chebyshev parameterization derivative in given dimension for 3D function.
+ // 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
- Float_t &z = par[2];
- Float_t &y = par[1];
- Float_t &x = par[0];
//
+ Bool_t same = dim1==dim2;
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
+ 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 (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;
+ 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 (dim==1) fTmpCf0[id0] = nCLoc>0 ? ChebEval1Deriv(y,fTmpCf1,nCLoc):0.0;
- else fTmpCf0[id0] = nCLoc>0 ? ChebEval1D(y,fTmpCf1,nCLoc):0.0;
+ 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 (dim==0) ? ChebEval1Deriv(x,fTmpCf0,fNRows) : ChebEval1D(x,fTmpCf0,fNRows);
+ return (dim1==0||dim2==0) ? (same ? ChebEval1Deriv2(par[0],fTmpCf0,fNRows):ChebEval1Deriv(par[0],fTmpCf0,fNRows)) :
+ ChebEval1D(par[0],fTmpCf0,fNRows);
//
}
if (fColAtRowBg) delete[] fColAtRowBg;
if (fTmpCf0) delete[] fTmpCf0;
fNRows = nr;
- fNColsAtRow = new Int_t[fNRows];
+ fNColsAtRow = new UShort_t[fNRows];
fTmpCf0 = new Float_t [fNRows];
- fColAtRowBg = new Int_t[fNRows];
+ fColAtRowBg = new UShort_t[fNRows];
for (int i=fNRows;i--;) fNColsAtRow[i] = fColAtRowBg[i] = 0;
}
if (fCoefBound2D0) delete[] fCoefBound2D0;
if (fCoefBound2D1) delete[] fCoefBound2D1;
fNElemBound2D = ne;
- fCoefBound2D0 = new Int_t[fNElemBound2D];
- fCoefBound2D1 = new Int_t[fNElemBound2D];
+ fCoefBound2D0 = new UShort_t[fNElemBound2D];
+ fCoefBound2D1 = new UShort_t[fNElemBound2D];
for (int i=fNElemBound2D;i--;) fCoefBound2D0[i] = fCoefBound2D1[i] = 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;
+ 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)) dcf0 = dcf1;
+ if (!(--ncf)) return b0/2;
//
for (int i=ncf;i--;) {
b2 = b1;
//
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;
+}
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff