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Geant4/externals/clhep/src/RandGaussZiggurat.cc

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  1 #include "CLHEP/Random/RandGaussZiggurat.h"
  2 #include "CLHEP/Units/PhysicalConstants.h"
  3 #include <iostream>
  4 #include <cmath>  // for std::log()
  5 
  6 namespace CLHEP {
  7 
  8 CLHEP_THREAD_LOCAL unsigned long RandGaussZiggurat::kn[128], RandGaussZiggurat::ke[256];
  9 CLHEP_THREAD_LOCAL float RandGaussZiggurat::wn[128],RandGaussZiggurat::fn[128],RandGaussZiggurat::we[256],RandGaussZiggurat::fe[256];
 10 CLHEP_THREAD_LOCAL bool RandGaussZiggurat::ziggurat_is_init = false;
 11 
 12 HepRandomEngine & RandGaussZiggurat::engine() {return RandGauss::engine();}
 13 
 14 RandGaussZiggurat::~RandGaussZiggurat() {
 15 }
 16 
 17 std::string RandGaussZiggurat::name() const 
 18 {
 19   return "RandGaussZiggurat";
 20 }
 21 
 22 bool RandGaussZiggurat::ziggurat_init()
 23 {  
 24   const double rzm1 = 2147483648.0, rzm2 = 4294967296.;
 25   double dn=3.442619855899,tn=dn,vn=9.91256303526217e-3, q;
 26   double de=7.697117470131487, te=de, ve=3.949659822581572e-3;
 27   int i;
 28 
 29 /* Set up tables for RNOR */
 30   q=vn/std::exp(-.5*dn*dn);
 31   kn[0]=(unsigned long)((dn/q)*rzm1);
 32   kn[1]=0;
 33 
 34   wn[0]=q/rzm1;
 35   wn[127]=dn/rzm1;
 36 
 37   fn[0]=1.;
 38   fn[127]=std::exp(-.5*dn*dn);
 39 
 40   for(i=126;i>=1;i--) {
 41     dn=std::sqrt(-2.*std::log(vn/dn+std::exp(-.5*dn*dn)));
 42     kn[i+1]=(unsigned long)((dn/tn)*rzm1);
 43     tn=dn;
 44     fn[i]=std::exp(-.5*dn*dn);
 45     wn[i]=dn/rzm1;
 46   }
 47 
 48 /* Set up tables for REXP */
 49   q = ve/std::exp(-de);
 50   ke[0]=(unsigned long)((de/q)*rzm2);
 51   ke[1]=0;
 52 
 53   we[0]=q/rzm2;
 54   we[255]=de/rzm2;
 55 
 56   fe[0]=1.;
 57   fe[255]=std::exp(-de);
 58 
 59   for(i=254;i>=1;i--) {
 60     de=-std::log(ve/de+std::exp(-de));
 61     ke[i+1]= (unsigned long)((de/te)*rzm2);
 62     te=de;
 63     fe[i]=std::exp(-de);
 64     we[i]=de/rzm2;
 65   }
 66   ziggurat_is_init=true;
 67   
 68   //std::cout<<"Done RandGaussZiggurat::ziggurat_init()"<<std::endl;
 69   
 70   return true;
 71 }
 72 
 73 float RandGaussZiggurat::ziggurat_nfix(long hz,HepRandomEngine* anEngine)
 74 {
 75   if(!ziggurat_is_init) ziggurat_init();
 76   const float r = 3.442620f;     /* The start of the right tail */
 77   float x, y;
 78   unsigned long iz=hz&127;
 79   for(;;)
 80   {  
 81     x=hz*wn[iz];      /* iz==0, handles the base strip */
 82     if(iz==0) {
 83       do { 
 84         /* change to (1.0 - UNI) as argument to std::log(), because CLHEP generates [0,1), 
 85            while the original UNI generates (0,1] */
 86         x=-std::log(1.0 - ziggurat_UNI(anEngine))*0.2904764; /* .2904764 is 1/r */
 87         y=-std::log(1.0 - ziggurat_UNI(anEngine));
 88       } while(y+y<x*x);
 89       return (hz>0)? r+x : -r-x;
 90     }
 91     /* iz>0, handle the wedges of other strips */
 92     if( fn[iz]+(1.0 - ziggurat_UNI(anEngine))*(fn[iz-1]-fn[iz]) < std::exp(-.5*x*x) ) return x;
 93 
 94     /* initiate, try to exit for(;;) for loop*/
 95     hz=(signed)ziggurat_SHR3(anEngine);
 96     iz=hz&127;
 97     if((unsigned long)std::abs(hz)<kn[iz]) return (hz*wn[iz]);
 98   }
 99 }
100 
101 double RandGaussZiggurat::operator()() {
102   return ziggurat_RNOR(localEngine.get()) * defaultStdDev + defaultMean;
103 }
104 
105 double RandGaussZiggurat::operator()( double mean, double stdDev ) {
106   return ziggurat_RNOR(localEngine.get()) * stdDev + mean;
107 }
108 
109 void RandGaussZiggurat::shootArray( const int size, float* vect, float mean, float stdDev )
110 {
111    for (int i=0; i<size; ++i) {
112      vect[i] = shoot(mean,stdDev);
113    }
114 }
115 
116 void RandGaussZiggurat::shootArray( const int size, double* vect, double mean, double stdDev )
117 {
118    for (int i=0; i<size; ++i) {
119      vect[i] = shoot(mean,stdDev);
120    }
121 }
122 
123 void RandGaussZiggurat::shootArray( HepRandomEngine* anEngine, const int size, float* vect, float mean, float stdDev )
124 {
125    for (int i=0; i<size; ++i) {
126      vect[i] = shoot(anEngine,mean,stdDev);
127    }
128 }
129 
130 void RandGaussZiggurat::shootArray( HepRandomEngine* anEngine, const int size, double* vect, double mean, double stdDev )
131 {
132    for (int i=0; i<size; ++i) {
133      vect[i] = shoot(anEngine,mean,stdDev);
134    }
135 }
136 
137 void RandGaussZiggurat::fireArray( const int size, float* vect)
138 {
139    for (int i=0; i<size; ++i) {
140      vect[i] = fire( defaultMean, defaultStdDev );
141    }
142 }
143 
144 void RandGaussZiggurat::fireArray( const int size, double* vect)
145 {
146    for (int i=0; i<size; ++i) {
147      vect[i] = fire( defaultMean, defaultStdDev );
148    }
149 }
150 
151 void RandGaussZiggurat::fireArray( const int size, float* vect, float mean, float stdDev )
152 {
153    for (int i=0; i<size; ++i) {
154      vect[i] = fire( mean, stdDev );
155    }
156 }
157 
158 void RandGaussZiggurat::fireArray( const int size, double* vect, double mean, double stdDev )
159 {
160    for (int i=0; i<size; ++i) {
161      vect[i] = fire( mean, stdDev );
162    }
163 }
164 
165 std::ostream & RandGaussZiggurat::put ( std::ostream & os ) const {
166   int pr=os.precision(20);
167   os << " " << name() << "\n";
168   RandGauss::put(os);
169   os.precision(pr);
170   return os;
171 }
172 
173 std::istream & RandGaussZiggurat::get ( std::istream & is ) {
174   std::string inName;
175   is >> inName;
176   if (inName != name()) {
177     is.clear(std::ios::badbit | is.rdstate());
178     std::cerr << "Mismatch when expecting to read state of a "
179             << name() << " distribution\n"
180         << "Name found was " << inName
181         << "\nistream is left in the badbit state\n";
182     return is;
183   }
184   RandGauss::get(is);
185   return is;
186 }
187 
188 }  // namespace CLHEP
189