[53] | 1 | /*
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| 2 | * ---- Delphes ----
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| 3 | * A Fast Simulator for general purpose LHC detector
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| 4 | * S. Ovyn ~~~~ severine.ovyn@uclouvain.be
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| 5 | *
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| 6 | * Center for Particle Physics and Phenomenology (CP3)
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| 7 | * Universite Catholique de Louvain (UCL)
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| 8 | * Louvain-la-Neuve, Belgium
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| 9 | * */
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| 10 |
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[219] | 11 | #include "BFieldProp.h"
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[53] | 12 | #include<cmath>
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| 13 | using namespace std;
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| 14 |
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| 15 |
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| 16 | //------------------------------------------------------------------------------
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| 17 |
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[219] | 18 | TrackPropagation::TrackPropagation(){
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| 19 | DET = new RESOLution();
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| 20 | init();
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| 21 | }
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[53] | 22 |
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[219] | 23 | TrackPropagation::TrackPropagation(const string& DetDatacard){
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| 24 | DET = new RESOLution();
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| 25 | DET->ReadDataCard(DetDatacard);
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| 26 | init();
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| 27 | }
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[53] | 28 |
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[219] | 29 | TrackPropagation::TrackPropagation(const RESOLution* DetDatacard){
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| 30 | DET= new RESOLution(*DetDatacard);
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| 31 | init();
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| 32 | }
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| 33 |
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| 34 | TrackPropagation::TrackPropagation(const TrackPropagation & tp){
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| 35 | MAXITERATION = tp.MAXITERATION;
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| 36 | DET = new RESOLution(*(tp.DET));
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| 37 | R_max = tp.R_max; z_max = tp.z_max;
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| 38 | B_x = tp.B_x; B_y = tp.B_y; B_z = tp.B_z;
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| 39 | q = tp.q; phi_0 = tp.phi_0;
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| 40 | gammam= tp.gammam; omega = tp.omega;
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| 41 | r = tp.r; rr = tp.rr;
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| 42 | x_c = tp.x_c; y_c = tp.y_c;
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| 43 | R_c = tp.R_c; Phi_c = tp.Phi_c;
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| 44 | t = tp.t; t_z = tp.t_z; t_T = tp.t_T;
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| 45 | x_t = tp.x_t; y_t = tp.y_t; z_t = tp.z_t;
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| 46 | R_t = tp.R_t; Phi_t = tp.Phi_t;
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| 47 | Theta_t=tp.Theta_t; Eta_t = tp.Eta_t;
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| 48 | Px_t = tp.Px_t; Py_t = tp.Py_t; Pz_t = tp.Pz_t;
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| 49 | PT_t = tp.PT_t; p_t = tp.p_t; E_t = tp.E_t;
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| 50 | loop_overflow_counter = tp.loop_overflow_counter;
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| 51 | }
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| 52 |
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| 53 | TrackPropagation& TrackPropagation::operator=(const TrackPropagation & tp) {
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| 54 | if(this==&tp) return *this;
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| 55 | MAXITERATION = tp.MAXITERATION;
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| 56 | DET = new RESOLution(*(tp.DET));
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| 57 | R_max = tp.R_max; z_max = tp.z_max;
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| 58 | B_x = tp.B_x; B_y = tp.B_y; B_z = tp.B_z;
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| 59 | q = tp.q; phi_0 = tp.phi_0;
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| 60 | gammam= tp.gammam; omega = tp.omega;
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| 61 | r = tp.r; rr = tp.rr;
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| 62 | x_c = tp.x_c; y_c = tp.y_c;
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| 63 | R_c = tp.R_c; Phi_c = tp.Phi_c;
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| 64 | t = tp.t; t_z = tp.t_z; t_T = tp.t_T;
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| 65 | x_t = tp.x_t; y_t = tp.y_t; z_t = tp.z_t;
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| 66 | R_t = tp.R_t; Phi_t = tp.Phi_t;
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| 67 | Theta_t=tp.Theta_t; Eta_t = tp.Eta_t;
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| 68 | Px_t = tp.Px_t; Py_t = tp.Py_t; Pz_t = tp.Pz_t;
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| 69 | PT_t = tp.PT_t; p_t = tp.p_t; E_t = tp.E_t;
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| 70 | loop_overflow_counter = tp.loop_overflow_counter;
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| 71 | return *this;
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| 72 | }
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| 73 |
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| 74 |
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| 75 |
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| 76 | void TrackPropagation::init() {
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| 77 | MAXITERATION = 10000;
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| 78 | q= UNDEFINED; phi_0= UNDEFINED; gammam= UNDEFINED; omega=UNDEFINED; r=UNDEFINED;
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| 79 | x_c=UNDEFINED; y_c=UNDEFINED; R_c=UNDEFINED; Phi_c=UNDEFINED;
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| 80 | rr=UNDEFINED; t=UNDEFINED; t_z=UNDEFINED; t_T=UNDEFINED;
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| 81 | x_t=UNDEFINED; y_t=UNDEFINED; z_t=UNDEFINED;
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| 82 | R_t=UNDEFINED; Phi_t=UNDEFINED; Theta_t=UNDEFINED; Eta_t=UNDEFINED;
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| 83 | Px_t=UNDEFINED; Py_t=UNDEFINED; Pz_t=UNDEFINED; PT_t=UNDEFINED; p_t=UNDEFINED; E_t=UNDEFINED;
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| 84 |
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| 85 | // DET has been initialised in the constructors
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| 86 | // magnetic field parameters
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[193] | 87 | R_max = DET->TRACK_radius;
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| 88 | z_max = DET->TRACK_length/2.;
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| 89 | B_x = DET->TRACK_bfield_x;
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| 90 | B_y = DET->TRACK_bfield_y;
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| 91 | B_z = DET->TRACK_bfield_z;
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| 92 |
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| 93 | loop_overflow_counter=0;
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[53] | 94 | }
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| 95 |
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[219] | 96 |
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| 97 |
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[193] | 98 | void TrackPropagation::Propagation(const TRootGenParticle *Part,TLorentzVector &momentum) {
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[53] | 99 |
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[193] | 100 | q = Charge(Part->PID);
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| 101 | if(q==0) return;
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| 102 |
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| 103 | if(R_max ==0) { cout << "ERROR: magnetic field has no lateral extention\n"; return;}
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| 104 | if(z_max==0) { cout << "ERROR: magnetic field has no longitudinal extention\n"; return;}
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| 105 |
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[199] | 106 | if (B_x== 0 && B_y== 0) { // faster if only B_z
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[193] | 107 | if (B_z==0) return; // nothing to do
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| 108 |
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| 109 | // initial conditions:
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| 110 | // p_X0 = Part->Px, p_Y0 = Part->Py, p_Z0 = Part->Pz, p_T0 = Part->PT;
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| 111 | // X_0 = Part->X, Y_0 = Part->Y, Z_0 = Part->Z;
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| 112 |
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| 113 | // 1. initial transverse momentum p_{T0} : Part->PT
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| 114 | // initial transverse momentum direction \phi_0 = -atan(p_X0/p_Y0)
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| 115 | // relativistic gamma : gamma = E/mc² ; gammam = gamma \times m
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| 116 | // giration frequency \omega = q/(gamma m) B_z
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| 117 | // helix radius r = p_T0 / (omega gamma m)
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| 118 | phi_0 = -atan2(Part->Px,Part->Py);
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| 119 | gammam = Part->E; // here c==1
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| 120 | //cout << "gammam" << gammam << "\t gamma" << gammam/Part->M << endl;
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| 121 | omega = q * B_z /gammam;
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| 122 | r = Part->PT / (omega * gammam);
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| 123 |
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| 124 | // 2. Helix parameters : center coordinates in transverse plane
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| 125 | // x_c = x_0 - r*cos(phi_0) and y_c = y_0 - r*sin(phi_0)
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| 126 | // R_c = \sqrt{x_c² + y_c²} and \Phi_c = atan{y_c/x_c}
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[199] | 127 | x_c = Part->X - r*cos(phi_0); /// TEST !!
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[193] | 128 | y_c = Part->Y - r*sin(phi_0);
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| 129 | R_c = sqrt(pow(x_c,2.) + pow(y_c,2.) );
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| 130 | Phi_c = atan2(y_c,x_c);
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| 131 |
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| 132 | // 3. time evaluation t = min(t_T, t_z)
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| 133 | // t_T : time to exit from the sides
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[199] | 134 | // t_T= [ Phi_c - phi_0 + atan( (R_max^2 - (R_c^2 + r^2))/(2rR_c) ) ]/omega
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[193] | 135 | // t_z : time to exit from the front or the back
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[199] | 136 | // t_z = gamma * m /p_z0 \times (-z_0 + z_max * sign(p_z0))
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[193] | 137 | rr = sqrt( pow(R_c,2.) + pow(r,2.) ); // temp variable
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| 138 | t_T=0;
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[219] | 139 | int sign_pz= (Part->Pz >0) ? 1 : -1;
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| 140 | t_z = gammam / Part->Pz * (-Part->Z + z_max*sign_pz ) ;
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[193] | 141 | if ( fabs(R_c - r) > R_max || R_c + r < R_max ) t = t_z;
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| 142 | else {
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| 143 | t_T = (Phi_c - phi_0 + atan2( (R_max + rr)*(R_max - rr) , 2*r*R_c ) ) / omega;
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| 144 | t = min(t_T,t_z);
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| 145 | }
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| 146 |
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| 147 | // 4. position in terms of x(t), y(t), z(t)
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| 148 | // x(t) = x_c + r cos (omega t + phi_0)
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| 149 | // y(t) = y_c + r sin (omega t + phi_0)
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| 150 | // z(t) = z_0 + (p_Z0/gammam) t
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| 151 | x_t = x_c + r * cos(omega * t + phi_0);
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| 152 | y_t = y_c + r * sin(omega * t + phi_0);
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| 153 | z_t = Part->Z + Part->Pz / gammam * t;
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| 154 |
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| 155 | // 5. position in terms of Theta(t), Phi(t), R(t), Eta(t)
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| 156 | // R(t) = sqrt(x(t)² + y(t)²)
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| 157 | // Phi(t) = atan(y(t)/x(t))
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| 158 | // Theta(t) = atan(R(t)/z(t))
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| 159 | // Eta(t) = -ln tan (Theta(t)/2)
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| 160 | R_t = sqrt( pow(x_t,2.) + pow(y_t,2.) );
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| 161 | Phi_t = atan2( y_t, x_t);
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[219] | 162 | if(R_t>0) {
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[199] | 163 | Theta_t = acos( z_t / sqrt(z_t*z_t+ R_t*R_t));
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| 164 | Eta_t = - log(tan(Theta_t/2.));
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| 165 | } else{
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| 166 | Theta_t=0; Eta_t = 9999;
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| 167 | }
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[219] | 168 |
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[199] | 169 | Px_t = - Part->PT * sin(omega*t + phi_0);
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| 170 | Py_t = Part->PT * cos(omega*t + phi_0);
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| 171 | Pz_t = Part->Pz;
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| 172 | PT_t = sqrt(Px_t*Px_t + Py_t*Py_t);
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| 173 | p_t = sqrt(PT_t*PT_t + Pz_t*Pz_t);
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| 174 | E_t=sqrt(Part->M*Part->M +p_t);
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[219] | 175 | //if(p_t != fabs(Pz_t) ) Eta_t = log( (p_t+Pz_t)/(p_t-Pz_t) )/2.;
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| 176 | //if(p_t>0) Theta_t = acos(Pz_t/p_t);
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[199] | 177 | momentum.SetPxPyPzE(Px_t,Py_t,Pz_t,E_t);
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[193] | 178 |
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[199] | 179 | // test zone ---
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| 180 | /*
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| 181 | cout << cos(atan(R_t/z_t)) << "\t" << cos(Theta_t) << "\t" << cos(momentum.Theta()) << "\t" << Pz_t/temp_p << endl;
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| 182 | double Eta_t1 = log( (E+Pz_t)/(E-Pz_t) )/2.;
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| 183 | double Eta_t2 = log( (temp_p+Pz_t)/(temp_p-Pz_t) )/2.;
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| 184 | if(0 && fabs(Eta_t -Eta_t2)>1e-310) {
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| 185 | cout << "ERROR-BUG: Eta_t != Eta_t2\n";
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| 186 | cout << "Eta_t= " << Eta_t << "\t Eta_t1= " << Eta_t1 << "\t Eta_t2= " << Eta_t2 << endl;
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[193] | 187 | }
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| 188 |
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[199] | 189 | double R_t2 = sqrt( pow(R_c,2.) + pow(r,2.) + 2*r*R_c*cos(phi_0 + omega*t - Phi_c) ); // cross-check
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| 190 | if(fabs(R_t - R_t2) > 1e-7)
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| 191 | cout << "ERROR-BUG: R_t != R_t2: R_t=" << R_t << " R_t2=" << R_t2 << " R_t - R_t2 =" << R_t - R_t2 << endl;
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| 192 | if( fabs(E - gammam) > 1e-3 ) {
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[193] | 193 | cout << "ERROR-BUG: energy is not conserved in src/BFieldProp.cc\n";
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| 194 | cout << "E - momentum.E() = " << fabs(E - momentum.E()) << " gammam - E " << fabs(gammam -E) << endl; }
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| 195 | if( fabs(PT_t - Part->PT) > 1e-10 ) {
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[199] | 196 | cout << "ERROR-BUG: PT is not conversed in src/BFieldProp.cc. ";
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[193] | 197 | cout << "(at " << 100*(PT_t - Part->PT) << "%)\n";
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| 198 | }
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| 199 | if(momentum.Pz() != Pz_t)
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| 200 | cout << "ERROR-BUG: Pz is not conserved in src/BFieldProp.cc\n";
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| 201 |
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[199] | 202 | double temp_p0=sqrt(Part->PT*Part->PT + Part->Pz*Part->Pz);
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| 203 | if(fabs( (temp_p-temp_p0)*(temp_p+temp_p0) )>1e-10 ) {
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| 204 | cout << "ERROR-BUG: momentum |vec{p}| is not conserved in src/BFieldProp.cc\n";
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| 205 | cout << temp_p << "\t" << temp_p0 << endl;
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| 206 | }
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| 207 |
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| 208 | // if x_c == y_c ==0 (set it by hand!), easy cross-check
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| 209 | //cout << "tan(phi_p)= " << momentum.Py()/momentum.Px() << "\t -1/tan(phi_x)= " << -x_t/y_t << endl;
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| 210 | */
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| 211 |
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[193] | 212 | } else { // if B_x or B_y are non zero: longer computation
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| 213 |
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[53] | 214 | float Xvertex1 = Part->X;
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| 215 | float Yvertex1 = Part->Y;
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| 216 | float Zvertex1 = Part->Z;
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| 217 |
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[193] | 218 | //out of tracking coverage?
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| 219 | if(sqrt(Xvertex1*Xvertex1+Yvertex1*Yvertex1) > R_max){return;}
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| 220 | if(fabs(Zvertex1) > z_max){return;}
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[53] | 221 |
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[193] | 222 | double px = Part->Px / 0.003;
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| 223 | double py = Part->Py / 0.003;
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| 224 | double pz = Part->Pz / 0.003;
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| 225 | double pt = Part->PT / 0.003; // sqrt(px*px+py*py);
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[199] | 226 | double p = sqrt(pz*pz + pt*pt); //sqrt(px*px+py*py+pz*pz);
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[59] | 227 |
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[193] | 228 | double M = Part->M;
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| 229 | double vx = px/M;
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| 230 | double vy = py/M;
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| 231 | double vz = pz/M;
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| 232 | double qm = q/M;
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[53] | 233 |
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[193] | 234 | double ax = qm*(B_z*vy - B_y*vz);
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| 235 | double ay = qm*(B_x*vz - B_z*vx);
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| 236 | double az = qm*(B_y*vx - B_x*vy);
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| 237 | double dt = 1/p;
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| 238 | if(pt<266 && vz < 0.0012) dt = fabs(0.001/vz); // ?????
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[59] | 239 |
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[193] | 240 | double xold=Xvertex1; double x=xold;
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| 241 | double yold=Yvertex1; double y=yold;
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| 242 | double zold=Zvertex1; double z=zold;
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[59] | 243 |
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[193] | 244 | double VTold = pt/M; //=sqrt(vx*vx+vy*vy);
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[59] | 245 |
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[193] | 246 | unsigned int k = 0;
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| 247 | double VTratio=0;
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| 248 | double R_max2 = R_max*R_max;
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| 249 | double r2=0; // will be x*x+y*y
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[100] | 250 |
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[193] | 251 | while(k < MAXITERATION){
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[59] | 252 | k++;
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| 253 |
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| 254 | vx += ax*dt;
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| 255 | vy += ay*dt;
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| 256 | vz += az*dt;
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| 257 |
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[193] | 258 | VTratio = VTold/sqrt(vx*vx+vy*vy);
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[59] | 259 | vx *= VTratio;
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| 260 | vy *= VTratio;
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| 261 |
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[193] | 262 | ax = qm*(B_z*vy - B_y*vz);
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| 263 | ay = qm*(B_x*vz - B_z*vx);
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| 264 | az = qm*(B_y*vx - B_x*vy);
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[59] | 265 |
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| 266 | x += vx*dt;
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| 267 | y += vy*dt;
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| 268 | z += vz*dt;
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[193] | 269 | r2 = x*x + y*y;
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[59] | 270 |
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[193] | 271 | if( r2 > R_max2 ){
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| 272 | x /= r2/R_max2;
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| 273 | y /= r2/R_max2;
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| 274 | break;
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| 275 | }
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| 276 | if( fabs(z)>z_max)break;
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[59] | 277 |
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| 278 | xold = x;
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| 279 | yold = y;
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| 280 | zold = z;
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[193] | 281 | } // while loop
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| 282 |
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| 283 | if(k == MAXITERATION) loop_overflow_counter++;
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| 284 | //cout << "too short loop in " << loop_overflow_counter << " cases" << endl;
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[59] | 285 |
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[193] | 286 | if(x!=0 && y!=0 && z!=0) {
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| 287 | float Theta = atan2(sqrt(r2),z);
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| 288 | double eta = -log(tan(Theta/2.));
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[53] | 289 | double phi = atan2(y,x);
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[193] | 290 | momentum.SetPtEtaPhiE(Part->PT,eta,phi,Part->E);
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| 291 | }
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| 292 |
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| 293 | } // if b_x or b_y non zero
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[53] | 294 | }
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