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7e4a628d 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
16/* $Id$ */
17
18#include <TMath.h>
19#include <TRandom.h>
20
21#include "AliMUONMathieson.h"
22#include "AliSegmentation.h"
a713db22 23#include "AliMUONGeometrySegmentation.h"
7e4a628d 24
25
26ClassImp(AliMUONMathieson)
27
28//__________________________________________________________________________
a713db22 29 AliMUONMathieson::AliMUONMathieson() :
30 fSqrtKx3(0.),
31 fKx2(0.),
32 fKx4(0.),
33 fSqrtKy3(0.),
34 fKy2(0.),
35 fKy4(0.),
36 fPitch(0.)
7e4a628d 37{
38// Default constructor
39
40}
41
42 //__________________________________________________________________________
43void AliMUONMathieson::SetSqrtKx3AndDeriveKx2Kx4(Float_t SqrtKx3)
44{
45 // Set to "SqrtKx3" the Mathieson parameter K3 ("fSqrtKx3")
46 // in the X direction, perpendicular to the wires,
47 // and derive the Mathieson parameters K2 ("fKx2") and K4 ("fKx4")
48 // in the same direction
49 fSqrtKx3 = SqrtKx3;
50 fKx2 = TMath::Pi() / 2. * (1. - 0.5 * fSqrtKx3);
51 Float_t cx1 = fKx2 * fSqrtKx3 / 4. / TMath::ATan(Double_t(fSqrtKx3));
52 fKx4 = cx1 / fKx2 / fSqrtKx3;
53}
54
55 //__________________________________________________________________________
56void AliMUONMathieson::SetSqrtKy3AndDeriveKy2Ky4(Float_t SqrtKy3)
57{
58 // Set to "SqrtKy3" the Mathieson parameter K3 ("fSqrtKy3")
59 // in the Y direction, along the wires,
60 // and derive the Mathieson parameters K2 ("fKy2") and K4 ("fKy4")
61 // in the same direction
62 fSqrtKy3 = SqrtKy3;
63 fKy2 = TMath::Pi() / 2. * (1. - 0.5 * fSqrtKy3);
64 Float_t cy1 = fKy2 * fSqrtKy3 / 4. / TMath::ATan(Double_t(fSqrtKy3));
65 fKy4 = cy1 / fKy2 / fSqrtKy3;
66}
7e4a628d 67// -------------------------------------------
7e4a628d 68Float_t AliMUONMathieson::IntXY(AliSegmentation * segmentation)
69{
70// Calculate charge on current pad according to Mathieson distribution
71//
a713db22 72 const Float_t kInversePitch = 1/fPitch;
7e4a628d 73//
74// Integration limits defined by segmentation model
75//
76 Float_t xi1, xi2, yi1, yi2;
77 segmentation->IntegrationLimits(xi1,xi2,yi1,yi2);
78 xi1=xi1*kInversePitch;
79 xi2=xi2*kInversePitch;
80 yi1=yi1*kInversePitch;
81 yi2=yi2*kInversePitch;
82//
83// The Mathieson function
84 Double_t ux1=fSqrtKx3*TMath::TanH(fKx2*xi1);
85 Double_t ux2=fSqrtKx3*TMath::TanH(fKx2*xi2);
86
87 Double_t uy1=fSqrtKy3*TMath::TanH(fKy2*yi1);
88 Double_t uy2=fSqrtKy3*TMath::TanH(fKy2*yi2);
89
90
91 return Float_t(4.*fKx4*(TMath::ATan(ux2)-TMath::ATan(ux1))*
92 fKy4*(TMath::ATan(uy2)-TMath::ATan(uy1)));
93}
a713db22 94// -------------------------------------------
95Float_t AliMUONMathieson::IntXY(Int_t idDE, AliMUONGeometrySegmentation* segmentation)
96{
97// Calculate charge on current pad according to Mathieson distribution
98// using Detection elt
99
100 const Float_t kInversePitch = 1./fPitch;
101//
102// Integration limits defined by segmentation model
103//
104 Float_t xi1, xi2, yi1, yi2;
105 segmentation->IntegrationLimits(idDE, xi1,xi2,yi1,yi2);
106 xi1=xi1*kInversePitch;
107 xi2=xi2*kInversePitch;
108 yi1=yi1*kInversePitch;
109 yi2=yi2*kInversePitch;
110//
111// The Mathieson function
112 Double_t ux1=fSqrtKx3*TMath::TanH(fKx2*xi1);
113 Double_t ux2=fSqrtKx3*TMath::TanH(fKx2*xi2);
7e4a628d 114
a713db22 115 Double_t uy1=fSqrtKy3*TMath::TanH(fKy2*yi1);
116 Double_t uy2=fSqrtKy3*TMath::TanH(fKy2*yi2);
7e4a628d 117
a713db22 118
119 return Float_t(4.*fKx4*(TMath::ATan(ux2)-TMath::ATan(ux1))*
120 fKy4*(TMath::ATan(uy2)-TMath::ATan(uy1)));
121}