//
// Motivation:
// ExB correction:
-// dx = c0* integral(Ex/Ez) + c1* integral(Ey/Ex)
-// dy = -c1* integral(Ex/Ez) + c0* integral(Ex/Ex)
+// dr = c0* integral(Er/Ez) + c1* integral(Erphi/Ez)
+// drphi = -c1* integral(Er/Ez) + c0* integral(Erphi/Ez)
// Where:
// wt = Bz*(k*vdrift/E) ~ 0.3 at B=0.5 T
// c0 = 1/(1+T2*T2*wt*wt)
// c1 = T1*wt/(1+T1*T1*wt*wt)
//
-// Residual integral(Ex/Ez,Ey/Ez) obtained comparing the B field 0 and B field +-0.5 T setting
+// Residual integral(Er/Ez,Erphi/Ez) obtained comparing the B field 0 and B field +-0.5 T setting
// minimizing track matching residuals
-// delta(Ex/Ez) ~ sum[ poln(r) * polm(z) * cos(n,phi)]
+// delta(Er/Ez) ~ sum[ poln(r) * polm(z) * cos(n,phi)]
//
////////////////////////////////////////////////////////////////////////////
#include "AliMagF.h"
Double_t driftN = 1.-TMath::Abs(x[2])/calROC->GetZLength(0); // drift from 0 to 1
Double_t localxN = 2*(r-rmiddle)/(kRTPC1-kRTPC0); // normalize local x position
//
- Double_t exez = 0;
- Double_t eyez = 0;
- if (roc%36<18) exez= GetSum(*fPolynomA, *fPolynomValA, localxN, driftN, phi,0);
- if (roc%36>=18) exez= GetSum(*fPolynomC, *fPolynomValC, localxN, driftN, phi,0);
- if (roc%36<18) eyez= GetSum(*fPolynomA, *fPolynomValA, localxN, driftN, phi,1);
- if (roc%36>=18) eyez= GetSum(*fPolynomC, *fPolynomValC, localxN, driftN, phi,1);
+ Double_t erez = 0;
+ Double_t erphiez = 0;
+ if (roc%36<18) erez= GetSum(*fPolynomA, *fPolynomValA, localxN, driftN, phi,0);
+ if (roc%36>=18) erez= GetSum(*fPolynomC, *fPolynomValC, localxN, driftN, phi,0);
+ if (roc%36<18) erphiez= GetSum(*fPolynomA, *fPolynomValA, localxN, driftN, phi,1);
+ if (roc%36>=18) erphiez= GetSum(*fPolynomC, *fPolynomValC, localxN, driftN, phi,1);
- Double_t drphi = -fC1 * exez;
- Double_t dr = fC1 * eyez;
- //
- dx[0]= TMath::Cos(phi)*dr-TMath::Sin(phi)*drphi;
- dx[1]= TMath::Sin(phi)*dr+TMath::Cos(phi)*drphi;
- dx[2]= 0;
+ Double_t dr = fC0 * erez + fC1 * erphiez;
+ Double_t drphi = -fC1 * erez + fC0 * erphiez;
+
+ // Calculate distorted position
+ if ( r > 0.0 ) {
+ r = r + dr;
+ phi = phi + drphi/r;
+ }
+ // Calculate correction in cartesian coordinates
+ dx[0] = r * TMath::Cos(phi) - x[0];
+ dx[1] = r * TMath::Sin(phi) - x[1];
+ dx[2] = 0.; // z distortion not implemented (1st order distortions)
}
Double_t AliTPCExBEffective::GetSum(const TMatrixD& mpol, const TMatrixD&mcoef, Double_t r, Double_t drift, Double_t phi, Int_t coord) const {
//
- //
+ // Summation of the polynomials
//
Int_t npols=mpol.GetNrows();
Double_t sum=0;
fPolynomValC = new TMatrixD(*valC);
}
+
+
+
+void AliTPCExBEffective::Print(const Option_t* option) const {
+ //
+ // Print function to check the settings (e.g. the twist in the X direction)
+ // option=="a" prints the C0 and C1 coefficents for calibration purposes
+ //
+
+ TString opt = option; opt.ToLower();
+ printf("%s\t%s\n",GetName(),GetTitle());
+
+ if (opt.Contains("a")) { // Print all details
+ printf(" - T1: %1.4f, T2: %1.4f \n",fT1,fT2);
+ printf(" - C0: %1.4f, C1: %1.4f \n",fC0,fC1);
+ fPolynomValA->Print();
+ fPolynomValC->Print();
+ }
+
+
+}