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>> 1 // $Id:$ 1 // -*- C++ -*- 2 // -*- C++ -*- 2 // 3 // 3 // ------------------------------------------- 4 // ----------------------------------------------------------------------- 4 // HEP Random 5 // HEP Random 5 // --- RandGeneral -- 6 // --- RandGeneral --- 6 // class implementation f 7 // class implementation file 7 // ------------------------------------------- 8 // ----------------------------------------------------------------------- 8 9 9 // =========================================== 10 // ======================================================================= 10 // S.Magni & G.Pieri - Created: 5th September 11 // S.Magni & G.Pieri - Created: 5th September 1995 11 // G.Cosmo - Added constructor using 12 // G.Cosmo - Added constructor using default engine from the 12 // static generator. Simpl 13 // static generator. Simplified shoot() and 13 // shootArray() (not neede 14 // shootArray() (not needed in principle!): 20th Aug 1998 14 // M.G.Pia & G.Cosmo - Fixed bug in computatio 15 // M.G.Pia & G.Cosmo - Fixed bug in computation of theIntegralPdf in 15 // two constructors: 5th J 16 // two constructors: 5th Jan 1999 16 // S.Magni & G.Pieri - Added linear interpolat 17 // S.Magni & G.Pieri - Added linear interpolation: 24th Mar 1999 17 // M. Fischler - General cleanup: 14th M 18 // M. Fischler - General cleanup: 14th May 1999 18 // + Eliminated constructor code replicat 19 // + Eliminated constructor code replication by factoring 19 // common code into prepareTable. 20 // common code into prepareTable. 20 // + Eliminated fire/shoot code replicati 21 // + Eliminated fire/shoot code replication by factoring 21 // out common code into mapRandom. 22 // out common code into mapRandom. 22 // + A couple of methods are moved inline 23 // + A couple of methods are moved inline to avoid a 23 // speed cost for factoring out mapRand 24 // speed cost for factoring out mapRandom: fire() 24 // and shoot(anEngine). 25 // and shoot(anEngine). 25 // + Inserted checks for negative weight 26 // + Inserted checks for negative weight and zero total 26 // weight in the bins. 27 // weight in the bins. 27 // + Modified the binary search loop to a 28 // + Modified the binary search loop to avoid incorrect 28 // behavior when rand is example on a b 29 // behavior when rand is example on a boundary. 29 // + Moved the check of InterpolationType 30 // + Moved the check of InterpolationType up into 30 // the constructor. A type other than 31 // the constructor. A type other than 0 or 1 31 // will give the interpolated distribut 32 // will give the interpolated distribution (instead of 32 // a distribution that always returns 0 33 // a distribution that always returns 0). 33 // + Modified the computation of the retu 34 // + Modified the computation of the returned value 34 // to use algeraic simplification to im 35 // to use algeraic simplification to improve speed. 35 // Eliminated two of the three division 36 // Eliminated two of the three divisionns, made 36 // use of the fact that nabove-nbelow i 37 // use of the fact that nabove-nbelow is always 1, etc. 37 // + Inserted a check for rand hitting th 38 // + Inserted a check for rand hitting the boundary of a 38 // zero-width bin, to avoid dividing 0/ 39 // zero-width bin, to avoid dividing 0/0. 39 // M. Fischler - Minor correction in as 40 // M. Fischler - Minor correction in assert 31 July 2001 40 // + changed from assert (above = below+1 41 // + changed from assert (above = below+1) to == 41 // M Fischler - put and get to/from st 42 // M Fischler - put and get to/from streams 12/15/04 42 // + Modifications to use a vector as the 43 // + Modifications to use a vector as theIntegraPdf 43 // M Fischler - put/get to/from streams 44 // M Fischler - put/get to/from streams uses pairs of ulongs when 44 // + storing doubles avoid problems with 45 // + storing doubles avoid problems with precision 45 // 4/14/05 46 // 4/14/05 46 // 47 // 47 // =========================================== 48 // ======================================================================= 48 49 49 #include "CLHEP/Random/RandGeneral.h" 50 #include "CLHEP/Random/RandGeneral.h" 50 #include "CLHEP/Random/DoubConv.h" 51 #include "CLHEP/Random/DoubConv.h" 51 #include <cassert> 52 #include <cassert> 52 #include <iostream> << 53 #include <string> << 54 #include <vector> << 55 53 56 namespace CLHEP { 54 namespace CLHEP { 57 55 58 std::string RandGeneral::name() const {return 56 std::string RandGeneral::name() const {return "RandGeneral";} 59 HepRandomEngine & RandGeneral::engine() {retur 57 HepRandomEngine & RandGeneral::engine() {return *localEngine;} 60 58 61 59 62 ////////////////// 60 ////////////////// 63 // Constructors 61 // Constructors 64 ////////////////// 62 ////////////////// 65 63 66 RandGeneral::RandGeneral( const double* aProbF 64 RandGeneral::RandGeneral( const double* aProbFunc, 67 int theProbSize, 65 int theProbSize, 68 int IntType ) 66 int IntType ) 69 : HepRandom(), 67 : HepRandom(), 70 localEngine(HepRandom::getTheEngine(), do_ 68 localEngine(HepRandom::getTheEngine(), do_nothing_deleter()), 71 nBins(theProbSize), 69 nBins(theProbSize), 72 InterpolationType(IntType) 70 InterpolationType(IntType) 73 { 71 { 74 prepareTable(aProbFunc); 72 prepareTable(aProbFunc); 75 } 73 } 76 74 77 RandGeneral::RandGeneral(HepRandomEngine& anEn 75 RandGeneral::RandGeneral(HepRandomEngine& anEngine, 78 const double* aProbFu 76 const double* aProbFunc, 79 int theProbSize, 77 int theProbSize, 80 int IntType ) 78 int IntType ) 81 : HepRandom(), 79 : HepRandom(), 82 localEngine(&anEngine, do_nothing_deleter()) 80 localEngine(&anEngine, do_nothing_deleter()), 83 nBins(theProbSize), 81 nBins(theProbSize), 84 InterpolationType(IntType) 82 InterpolationType(IntType) 85 { 83 { 86 prepareTable(aProbFunc); 84 prepareTable(aProbFunc); 87 } 85 } 88 86 89 RandGeneral::RandGeneral(HepRandomEngine* anEn 87 RandGeneral::RandGeneral(HepRandomEngine* anEngine, 90 const double* aProbFu 88 const double* aProbFunc, 91 int theProbSize, 89 int theProbSize, 92 int IntType ) 90 int IntType ) 93 : HepRandom(), 91 : HepRandom(), 94 localEngine(anEngine), 92 localEngine(anEngine), 95 nBins(theProbSize), 93 nBins(theProbSize), 96 InterpolationType(IntType) 94 InterpolationType(IntType) 97 { 95 { 98 prepareTable(aProbFunc); 96 prepareTable(aProbFunc); 99 } 97 } 100 98 101 void RandGeneral::prepareTable(const double* a 99 void RandGeneral::prepareTable(const double* aProbFunc) { 102 // 100 // 103 // Private method called only by constructors. 101 // Private method called only by constructors. Prepares theIntegralPdf. 104 // 102 // 105 if (nBins < 1) { 103 if (nBins < 1) { 106 std::cerr << 104 std::cerr << 107 "RandGeneral constructed with no bins - will 105 "RandGeneral constructed with no bins - will use flat distribution\n"; 108 useFlatDistribution(); 106 useFlatDistribution(); 109 return; 107 return; 110 } 108 } 111 109 112 theIntegralPdf.resize(nBins+1); 110 theIntegralPdf.resize(nBins+1); 113 theIntegralPdf[0] = 0; 111 theIntegralPdf[0] = 0; 114 int ptn; 112 int ptn; 115 double weight; 113 double weight; 116 114 117 for ( ptn = 0; ptn<nBins; ++ptn ) { 115 for ( ptn = 0; ptn<nBins; ++ptn ) { 118 weight = aProbFunc[ptn]; 116 weight = aProbFunc[ptn]; 119 if ( weight < 0 ) { 117 if ( weight < 0 ) { 120 // We can't stomach negative bin contents, 118 // We can't stomach negative bin contents, they invalidate the 121 // search algorithm when the distribution 119 // search algorithm when the distribution is fired. 122 std::cerr << 120 std::cerr << 123 "RandGeneral constructed with negative-weigh 121 "RandGeneral constructed with negative-weight bin " << ptn << 124 " = " << weight << " \n -- will substitute 122 " = " << weight << " \n -- will substitute 0 weight \n"; 125 weight = 0; 123 weight = 0; 126 } 124 } 127 // std::cout << ptn << " " << weight << " 125 // std::cout << ptn << " " << weight << " " << theIntegralPdf[ptn] << "\n"; 128 theIntegralPdf[ptn+1] = theIntegralPdf[ptn 126 theIntegralPdf[ptn+1] = theIntegralPdf[ptn] + weight; 129 } 127 } 130 128 131 if ( theIntegralPdf[nBins] <= 0 ) { 129 if ( theIntegralPdf[nBins] <= 0 ) { 132 std::cerr << 130 std::cerr << 133 "RandGeneral constructed nothing in bins 131 "RandGeneral constructed nothing in bins - will use flat distribution\n"; 134 useFlatDistribution(); 132 useFlatDistribution(); 135 return; 133 return; 136 } 134 } 137 135 138 for ( ptn = 0; ptn < nBins+1; ++ptn ) { 136 for ( ptn = 0; ptn < nBins+1; ++ptn ) { 139 theIntegralPdf[ptn] /= theIntegralPdf[nBin 137 theIntegralPdf[ptn] /= theIntegralPdf[nBins]; 140 // std::cout << ptn << " " << theIntegral 138 // std::cout << ptn << " " << theIntegralPdf[ptn] << "\n"; 141 } 139 } 142 140 143 // And another useful variable is ... 141 // And another useful variable is ... 144 oneOverNbins = 1.0 / nBins; 142 oneOverNbins = 1.0 / nBins; 145 143 146 // One last chore: 144 // One last chore: 147 145 148 if ( (InterpolationType != 0) && (Interpolat 146 if ( (InterpolationType != 0) && (InterpolationType != 1) ) { 149 std::cerr << 147 std::cerr << 150 "RandGeneral does not recognize IntType 148 "RandGeneral does not recognize IntType " << InterpolationType 151 << "\n Will use type 0 (continuous linea 149 << "\n Will use type 0 (continuous linear interpolation \n"; 152 InterpolationType = 0; 150 InterpolationType = 0; 153 } 151 } 154 152 155 } // prepareTable() 153 } // prepareTable() 156 154 157 void RandGeneral::useFlatDistribution() { 155 void RandGeneral::useFlatDistribution() { 158 // 156 // 159 // Private method called only by prepareTables 157 // Private method called only by prepareTables in case of user error. 160 // 158 // 161 nBins = 1; 159 nBins = 1; 162 theIntegralPdf.resize(2); 160 theIntegralPdf.resize(2); 163 theIntegralPdf[0] = 0; 161 theIntegralPdf[0] = 0; 164 theIntegralPdf[1] = 1; 162 theIntegralPdf[1] = 1; 165 oneOverNbins = 1.0; 163 oneOverNbins = 1.0; 166 return; 164 return; 167 165 168 } // UseFlatDistribution() 166 } // UseFlatDistribution() 169 167 170 ////////////////// 168 ////////////////// 171 // Destructor 169 // Destructor 172 ////////////////// 170 ////////////////// 173 171 174 RandGeneral::~RandGeneral() { 172 RandGeneral::~RandGeneral() { 175 } 173 } 176 174 177 175 178 /////////////////// 176 /////////////////// 179 // mapRandom(rand) 177 // mapRandom(rand) 180 /////////////////// 178 /////////////////// 181 179 182 double RandGeneral::mapRandom(double rand) con 180 double RandGeneral::mapRandom(double rand) const { 183 // 181 // 184 // Private method to take the random (however 182 // Private method to take the random (however it is created) and map it 185 // according to the distribution. 183 // according to the distribution. 186 // 184 // 187 185 188 int nbelow = 0; // largest k such that I[k 186 int nbelow = 0; // largest k such that I[k] is known to be <= rand 189 int nabove = nBins; // largest k such th 187 int nabove = nBins; // largest k such that I[k] is known to be > rand 190 int middle; 188 int middle; 191 189 192 while (nabove > nbelow+1) { 190 while (nabove > nbelow+1) { 193 middle = (nabove + nbelow+1)>>1; 191 middle = (nabove + nbelow+1)>>1; 194 if (rand >= theIntegralPdf[middle]) { 192 if (rand >= theIntegralPdf[middle]) { 195 nbelow = middle; 193 nbelow = middle; 196 } else { 194 } else { 197 nabove = middle; 195 nabove = middle; 198 } 196 } 199 } // after this loop, nabove is always nbelo 197 } // after this loop, nabove is always nbelow+1 and they straddle rad: 200 assert ( nabove == nbelow+1 ); 198 assert ( nabove == nbelow+1 ); 201 assert ( theIntegralPdf[nbelow] <= rand ); 199 assert ( theIntegralPdf[nbelow] <= rand ); 202 assert ( theIntegralPdf[nabove] >= rand ); 200 assert ( theIntegralPdf[nabove] >= rand ); 203 // If a defective engine produces rand=1, 201 // If a defective engine produces rand=1, that will 204 // still give sensible results so we relax 202 // still give sensible results so we relax the > rand assertion 205 203 206 if ( InterpolationType == 1 ) { 204 if ( InterpolationType == 1 ) { 207 205 208 return nbelow * oneOverNbins; 206 return nbelow * oneOverNbins; 209 207 210 } else { 208 } else { 211 209 212 double binMeasure = theIntegralPdf[nabove] 210 double binMeasure = theIntegralPdf[nabove] - theIntegralPdf[nbelow]; 213 // binMeasure is always aProbFunc[nbelow], 211 // binMeasure is always aProbFunc[nbelow], 214 // but we don't have aProbFunc any more so 212 // but we don't have aProbFunc any more so we subtract. 215 213 216 if ( binMeasure == 0 ) { 214 if ( binMeasure == 0 ) { 217 // rand lies right in a bin of measure 0. S 215 // rand lies right in a bin of measure 0. Simply return the center 218 // of the range of that bin. (Any value bet 216 // of the range of that bin. (Any value between k/N and (k+1)/N is 219 // equally good, in this rare case.) 217 // equally good, in this rare case.) 220 return (nbelow + .5) * oneOverNbins; 218 return (nbelow + .5) * oneOverNbins; 221 } 219 } 222 220 223 double binFraction = (rand - theIntegralPd 221 double binFraction = (rand - theIntegralPdf[nbelow]) / binMeasure; 224 222 225 return (nbelow + binFraction) * oneOverNbi 223 return (nbelow + binFraction) * oneOverNbins; 226 } 224 } 227 225 228 } // mapRandom(rand) 226 } // mapRandom(rand) 229 227 230 void RandGeneral::shootArray( HepRandomEngine* 228 void RandGeneral::shootArray( HepRandomEngine* anEngine, 231 const int size, do 229 const int size, double* vect ) 232 { 230 { 233 int i; 231 int i; 234 232 235 for (i=0; i<size; ++i) { 233 for (i=0; i<size; ++i) { 236 vect[i] = shoot(anEngine); 234 vect[i] = shoot(anEngine); 237 } 235 } 238 } 236 } 239 237 240 void RandGeneral::fireArray( const int size, d 238 void RandGeneral::fireArray( const int size, double* vect ) 241 { 239 { 242 int i; 240 int i; 243 241 244 for (i=0; i<size; ++i) { 242 for (i=0; i<size; ++i) { 245 vect[i] = fire(); 243 vect[i] = fire(); 246 } 244 } 247 } 245 } 248 246 249 std::ostream & RandGeneral::put ( std::ostream 247 std::ostream & RandGeneral::put ( std::ostream & os ) const { 250 long pr=os.precision(20); << 248 int pr=os.precision(20); 251 std::vector<unsigned long> t(2); 249 std::vector<unsigned long> t(2); 252 os << " " << name() << "\n"; 250 os << " " << name() << "\n"; 253 os << "Uvec" << "\n"; 251 os << "Uvec" << "\n"; 254 os << nBins << " " << oneOverNbins << " " << 252 os << nBins << " " << oneOverNbins << " " << InterpolationType << "\n"; 255 t = DoubConv::dto2longs(oneOverNbins); 253 t = DoubConv::dto2longs(oneOverNbins); 256 os << t[0] << " " << t[1] << "\n"; 254 os << t[0] << " " << t[1] << "\n"; 257 assert (static_cast<int>(theIntegralPdf.size 255 assert (static_cast<int>(theIntegralPdf.size())==nBins+1); 258 for (unsigned int i=0; i<theIntegralPdf.size 256 for (unsigned int i=0; i<theIntegralPdf.size(); ++i) { 259 t = DoubConv::dto2longs(theIntegralPdf[i]) 257 t = DoubConv::dto2longs(theIntegralPdf[i]); 260 os << theIntegralPdf[i] << " " << t[0] << 258 os << theIntegralPdf[i] << " " << t[0] << " " << t[1] << "\n"; 261 } 259 } 262 os.precision(pr); 260 os.precision(pr); 263 return os; 261 return os; 264 } 262 } 265 263 266 std::istream & RandGeneral::get ( std::istream 264 std::istream & RandGeneral::get ( std::istream & is ) { 267 std::string inName; 265 std::string inName; 268 is >> inName; 266 is >> inName; 269 if (inName != name()) { 267 if (inName != name()) { 270 is.clear(std::ios::badbit | is.rdstate()); 268 is.clear(std::ios::badbit | is.rdstate()); 271 std::cerr << "Mismatch when expecting to r 269 std::cerr << "Mismatch when expecting to read state of a " 272 << name() << " distribution\n" 270 << name() << " distribution\n" 273 << "Name found was " << inName 271 << "Name found was " << inName 274 << "\nistream is left in the badbit st 272 << "\nistream is left in the badbit state\n"; 275 return is; 273 return is; 276 } 274 } 277 if (possibleKeywordInput(is, "Uvec", nBins)) 275 if (possibleKeywordInput(is, "Uvec", nBins)) { 278 std::vector<unsigned long> t(2); 276 std::vector<unsigned long> t(2); 279 is >> nBins >> oneOverNbins >> Interpolati 277 is >> nBins >> oneOverNbins >> InterpolationType; 280 is >> t[0] >> t[1]; oneOverNbins = DoubCon 278 is >> t[0] >> t[1]; oneOverNbins = DoubConv::longs2double(t); 281 theIntegralPdf.resize(nBins+1); 279 theIntegralPdf.resize(nBins+1); 282 for (unsigned int i=0; i<theIntegralPdf.si 280 for (unsigned int i=0; i<theIntegralPdf.size(); ++i) { 283 is >> theIntegralPdf[i] >> t[0] >> t[1]; 281 is >> theIntegralPdf[i] >> t[0] >> t[1]; 284 theIntegralPdf[i] = DoubConv::longs2doub 282 theIntegralPdf[i] = DoubConv::longs2double(t); 285 } 283 } 286 return is; 284 return is; 287 } 285 } 288 // is >> nBins encompassed by possibleKeywor 286 // is >> nBins encompassed by possibleKeywordInput 289 is >> oneOverNbins >> InterpolationType; 287 is >> oneOverNbins >> InterpolationType; 290 theIntegralPdf.resize(nBins+1); 288 theIntegralPdf.resize(nBins+1); 291 for (unsigned int i=0; i<theIntegralPdf.size 289 for (unsigned int i=0; i<theIntegralPdf.size(); ++i) is >> theIntegralPdf[i]; 292 return is; 290 return is; 293 } 291 } 294 292 295 } // namespace CLHEP 293 } // namespace CLHEP 296 294