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00043 #include "SimRomanPot/SimFP420/interface/LandauFP420.h"
00044 #include "CLHEP/Units/GlobalSystemOfUnits.h"
00045 #include "CLHEP/Units/GlobalPhysicalConstants.h"
00046 #include "CLHEP/Random/RandGaussQ.h"
00047 #include "CLHEP/Random/RandPoisson.h"
00048 #include "CLHEP/Random/RandFlat.h"
00049
00050 #include <stdio.h>
00051 #include <gsl/gsl_fit.h>
00052 #include <cmath>
00053 #include<vector>
00054
00055
00056
00057
00058
00059
00060
00061 using namespace std;
00062
00063
00064
00065
00066 LandauFP420::LandauFP420()
00067 :minNumberInteractionsBohr(10.0),
00068 theBohrBeta2(50.0*keV/proton_mass_c2),
00069 minLoss(0.000001*eV),
00070 problim(0.01),
00071 alim(10.),
00072 nmaxCont1(4),
00073 nmaxCont2(16)
00074 {
00075 sumalim = -log(problim);
00076
00077 chargeSquare = 1.;
00078
00079 ipotFluct = 0.0001736;
00080 electronDensity = 6.797E+20;
00081 f1Fluct = 0.8571;
00082 f2Fluct = 0.1429;
00083 e1Fluct = 0.000116;
00084 e2Fluct = 0.00196;
00085 e1LogFluct = -9.063;
00086 e2LogFluct = -6.235;
00087 rateFluct = 0.4;
00088 ipotLogFluct = -8.659;
00089 e0 = 1.E-5;
00090
00091 }
00092
00093 LandauFP420::~LandauFP420()
00094 {}
00095
00096
00097
00098
00099 double LandauFP420::SampleFluctuations(const double momentum,
00100 const double mass,
00101 double& tmax,
00102 const double length,
00103 const double meanLoss)
00104 {
00105
00106
00107
00108
00109
00110 if(meanLoss < minLoss) return meanLoss;
00111
00112
00113 particleMass = mass;
00114
00115
00116
00117
00118
00119
00120 double gam2 = (momentum*momentum)/(particleMass*particleMass) + 1.0;
00121 double beta2 = 1.0 - 1.0/gam2;
00122
00123
00124 double loss, siga;
00125
00126 if(meanLoss >= minNumberInteractionsBohr*tmax ||
00127 tmax <= ipotFluct*minNumberInteractionsBohr)
00128 {
00129 siga = (1.0/beta2 - 0.5) * twopi_mc2_rcl2 * tmax * length
00130 * electronDensity * chargeSquare ;
00131 siga = sqrt(siga);
00132 do {
00133
00134 loss = CLHEP::RandGaussQ::shoot(meanLoss,siga);
00135 } while (loss < 0. || loss > 2.*meanLoss);
00136
00137 return loss;
00138 }
00139
00140
00141 double suma,w1,w2,C,lossc,w;
00142 double a1,a2,a3;
00143 int p1,p2,p3;
00144 int nb;
00145 double corrfac, na,alfa,rfac,namean,sa,alfa1,ea,sea;
00146 double dp3;
00147
00148 w1 = tmax/ipotFluct;
00149 w2 = log(2.*electron_mass_c2*(gam2 - 1.0));
00150
00151 C = meanLoss*(1.-rateFluct)/(w2-ipotLogFluct-beta2);
00152
00153 a1 = C*f1Fluct*(w2-e1LogFluct-beta2)/e1Fluct;
00154 a2 = C*f2Fluct*(w2-e2LogFluct-beta2)/e2Fluct;
00155 a3 = rateFluct*meanLoss*(tmax-ipotFluct)/(ipotFluct*tmax*log(w1));
00156 if(a1 < 0.) a1 = 0.;
00157 if(a2 < 0.) a2 = 0.;
00158 if(a3 < 0.) a3 = 0.;
00159
00160 suma = a1+a2+a3;
00161
00162 loss = 0. ;
00163
00164 if(suma < sumalim)
00165 {
00166
00167 if(tmax == ipotFluct)
00168 {
00169 a3 = meanLoss/e0;
00170
00171 if(a3>alim)
00172 {
00173 siga=sqrt(a3) ;
00174
00175 p3 = std::max(0,int(CLHEP::RandGaussQ::shoot(a3,siga)+0.5));
00176 }
00177 else
00178 p3 = CLHEP::RandPoisson::shoot(a3);
00179
00180
00181 loss = p3*e0 ;
00182
00183 if(p3 > 0)
00184
00185 loss += (1.-2.*CLHEP::RandFlat::shoot())*e0 ;
00186
00187 }
00188 else
00189 {
00190 tmax = tmax-ipotFluct+e0 ;
00191 a3 = meanLoss*(tmax-e0)/(tmax*e0*log(tmax/e0));
00192
00193 if(a3>alim)
00194 {
00195 siga=sqrt(a3) ;
00196
00197 p3 = std::max(0,int(CLHEP::RandGaussQ::shoot(a3,siga)+0.5));
00198 }
00199 else
00200 p3 = CLHEP::RandPoisson::shoot(a3);
00201
00202
00203 if(p3 > 0)
00204 {
00205 w = (tmax-e0)/tmax ;
00206 if(p3 > nmaxCont2)
00207 {
00208 dp3 = float(p3) ;
00209 corrfac = dp3/float(nmaxCont2) ;
00210 p3 = nmaxCont2 ;
00211 }
00212 else
00213 corrfac = 1. ;
00214
00215
00216 for(int i=0; i<p3; i++) loss += 1./(1.-w*CLHEP::RandFlat::shoot()) ;
00217 loss *= e0*corrfac ;
00218 }
00219 }
00220 }
00221
00222 else
00223 {
00224
00225 if(a1>alim)
00226 {
00227 siga=sqrt(a1) ;
00228
00229 p1 = std::max(0,int(CLHEP::RandGaussQ::shoot(a1,siga)+0.5));
00230 }
00231 else
00232 p1 = CLHEP::RandPoisson::shoot(a1);
00233
00234
00235
00236 if(a2>alim)
00237 {
00238 siga=sqrt(a2) ;
00239
00240 p2 = std::max(0,int(CLHEP::RandGaussQ::shoot(a2,siga)+0.5));
00241 }
00242 else
00243 p2 = CLHEP::RandPoisson::shoot(a2);
00244
00245
00246 loss = p1*e1Fluct+p2*e2Fluct;
00247
00248
00249 if(p2 > 0)
00250
00251 loss += (1.-2.*CLHEP::RandFlat::shoot())*e2Fluct;
00252 else if (loss>0.)
00253 loss += (1.-2.*CLHEP::RandFlat::shoot())*e1Fluct;
00254
00255
00256 if(a3 > 0.)
00257 {
00258 if(a3>alim)
00259 {
00260 siga=sqrt(a3) ;
00261 p3 = std::max(0,int(CLHEP::RandGaussQ::shoot(a3,siga)+0.5));
00262 }
00263 else
00264 p3 = CLHEP::RandPoisson::shoot(a3);
00265
00266 lossc = 0.;
00267 if(p3 > 0)
00268 {
00269 na = 0.;
00270 alfa = 1.;
00271 if (p3 > nmaxCont2)
00272 {
00273 dp3 = float(p3);
00274 rfac = dp3/(float(nmaxCont2)+dp3);
00275 namean = float(p3)*rfac;
00276 sa = float(nmaxCont1)*rfac;
00277 na = CLHEP::RandGaussQ::shoot(namean,sa);
00278 if (na > 0.)
00279 {
00280 alfa = w1*float(nmaxCont2+p3)/
00281 (w1*float(nmaxCont2)+float(p3));
00282 alfa1 = alfa*log(alfa)/(alfa-1.);
00283 ea = na*ipotFluct*alfa1;
00284 sea = ipotFluct*sqrt(na*(alfa-alfa1*alfa1));
00285 lossc += CLHEP::RandGaussQ::shoot(ea,sea);
00286 }
00287 }
00288
00289 nb = int(float(p3)-na);
00290 if (nb > 0)
00291 {
00292 w2 = alfa*ipotFluct;
00293 w = (tmax-w2)/tmax;
00294 for (int k=0; k<nb; k++) lossc += w2/(1.-w*CLHEP::RandFlat::shoot());
00295 }
00296 }
00297 loss += lossc;
00298 }
00299 }
00300
00301 return loss;
00302 }
00303