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Geant4/global/management/include/G4Log.hh

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Differences between /global/management/include/G4Log.hh (Version 11.3.0) and /global/management/include/G4Log.hh (Version 11.0)


  1 //                                                  1 //
  2 // *******************************************      2 // ********************************************************************
  3 // * License and Disclaimer                         3 // * License and Disclaimer                                           *
  4 // *                                                4 // *                                                                  *
  5 // * The  Geant4 software  is  copyright of th      5 // * The  Geant4 software  is  copyright of the Copyright Holders  of *
  6 // * the Geant4 Collaboration.  It is provided      6 // * the Geant4 Collaboration.  It is provided  under  the terms  and *
  7 // * conditions of the Geant4 Software License      7 // * conditions of the Geant4 Software License,  included in the file *
  8 // * LICENSE and available at  http://cern.ch/      8 // * LICENSE and available at  http://cern.ch/geant4/license .  These *
  9 // * include a list of copyright holders.           9 // * include a list of copyright holders.                             *
 10 // *                                               10 // *                                                                  *
 11 // * Neither the authors of this software syst     11 // * Neither the authors of this software system, nor their employing *
 12 // * institutes,nor the agencies providing fin     12 // * institutes,nor the agencies providing financial support for this *
 13 // * work  make  any representation or  warran     13 // * work  make  any representation or  warranty, express or implied, *
 14 // * regarding  this  software system or assum     14 // * regarding  this  software system or assume any liability for its *
 15 // * use.  Please see the license in the file      15 // * use.  Please see the license in the file  LICENSE  and URL above *
 16 // * for the full disclaimer and the limitatio     16 // * for the full disclaimer and the limitation of liability.         *
 17 // *                                               17 // *                                                                  *
 18 // * This  code  implementation is the result      18 // * This  code  implementation is the result of  the  scientific and *
 19 // * technical work of the GEANT4 collaboratio     19 // * technical work of the GEANT4 collaboration.                      *
 20 // * By using,  copying,  modifying or  distri     20 // * By using,  copying,  modifying or  distributing the software (or *
 21 // * any work based  on the software)  you  ag     21 // * any work based  on the software)  you  agree  to acknowledge its *
 22 // * use  in  resulting  scientific  publicati     22 // * use  in  resulting  scientific  publications,  and indicate your *
 23 // * acceptance of all terms of the Geant4 Sof     23 // * acceptance of all terms of the Geant4 Software license.          *
 24 // *******************************************     24 // ********************************************************************
 25 //                                                 25 //
 26 // G4Log                                           26 // G4Log
 27 //                                                 27 //
 28 // Class description:                              28 // Class description:
 29 //                                                 29 //
 30 // The basic idea is to exploit Pade polynomia     30 // The basic idea is to exploit Pade polynomials.
 31 // A lot of ideas were inspired by the cephes      31 // A lot of ideas were inspired by the cephes math library
 32 // (by Stephen L. Moshier moshier@na-net.ornl.     32 // (by Stephen L. Moshier moshier@na-net.ornl.gov) as well as actual code.
 33 // The Cephes library can be found here:  http     33 // The Cephes library can be found here:  http://www.netlib.org/cephes/
 34 // Code and algorithms for G4Exp have been ext     34 // Code and algorithms for G4Exp have been extracted and adapted for Geant4
 35 // from the original implementation in the VDT     35 // from the original implementation in the VDT mathematical library
 36 // (https://svnweb.cern.ch/trac/vdt), version      36 // (https://svnweb.cern.ch/trac/vdt), version 0.3.7.
 37                                                    37 
 38 // Original implementation created on: Jun 23,     38 // Original implementation created on: Jun 23, 2012
 39 //      Author: Danilo Piparo, Thomas Hauth, V     39 //      Author: Danilo Piparo, Thomas Hauth, Vincenzo Innocente
 40 //                                                 40 //
 41 // -------------------------------------------     41 // --------------------------------------------------------------------
 42 /*                                                 42 /*
 43  * VDT is free software: you can redistribute      43  * VDT is free software: you can redistribute it and/or modify
 44  * it under the terms of the GNU Lesser Public     44  * it under the terms of the GNU Lesser Public License as published by
 45  * the Free Software Foundation, either versio     45  * the Free Software Foundation, either version 3 of the License, or
 46  * (at your option) any later version.             46  * (at your option) any later version.
 47  *                                                 47  *
 48  * This program is distributed in the hope tha     48  * This program is distributed in the hope that it will be useful,
 49  * but WITHOUT ANY WARRANTY; without even the      49  * but WITHOUT ANY WARRANTY; without even the implied warranty of
 50  * MERCHANTABILITY or FITNESS FOR A PARTICULAR     50  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 51  * GNU Lesser Public License for more details.     51  * GNU Lesser Public License for more details.
 52  *                                                 52  *
 53  * You should have received a copy of the GNU      53  * You should have received a copy of the GNU Lesser Public License
 54  * along with this program.  If not, see <http     54  * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 55  */                                                55  */
 56 // -------------------------------------------     56 // --------------------------------------------------------------------
 57 #ifndef G4Log_hh                                   57 #ifndef G4Log_hh
 58 #define G4Log_hh 1                                 58 #define G4Log_hh 1
 59                                                    59 
 60 #ifdef WIN32                                       60 #ifdef WIN32
 61                                                    61 
 62 #  define G4Log std::log                           62 #  define G4Log std::log
 63                                                    63 
 64 #else                                              64 #else
 65                                                    65 
 66 #  include "G4Types.hh"                            66 #  include "G4Types.hh"
 67                                                << 
 68 #  include <cstdint>                           << 
 69 #  include <limits>                                67 #  include <limits>
                                                   >>  68 #  include <stdint.h>
 70                                                    69 
 71 // local namespace for the constants/functions     70 // local namespace for the constants/functions which are necessary only here
 72 //                                                 71 //
 73 namespace G4LogConsts                              72 namespace G4LogConsts
 74 {                                                  73 {
 75   const G4double LOG_UPPER_LIMIT = 1e307;          74   const G4double LOG_UPPER_LIMIT = 1e307;
 76   const G4double LOG_LOWER_LIMIT = 0;              75   const G4double LOG_LOWER_LIMIT = 0;
 77                                                    76 
 78   const G4double SQRTH  = 0.707106781186547524     77   const G4double SQRTH  = 0.70710678118654752440;
 79   const G4float MAXNUMF = 3.402823466385288598     78   const G4float MAXNUMF = 3.4028234663852885981170418348451692544e38f;
 80                                                    79 
 81   //------------------------------------------     80   //----------------------------------------------------------------------------
 82   // Used to switch between different type of      81   // Used to switch between different type of interpretations of the data
 83   // (64 bits)                                     82   // (64 bits)
 84   //                                               83   //
 85   union ieee754                                    84   union ieee754
 86   {                                                85   {
 87     ieee754()= default;                        <<  86     ieee754(){};
 88     ieee754(G4double thed) { d = thed; };          87     ieee754(G4double thed) { d = thed; };
 89     ieee754(uint64_t thell) { ll = thell; };       88     ieee754(uint64_t thell) { ll = thell; };
 90     ieee754(G4float thef) { f[0] = thef; };        89     ieee754(G4float thef) { f[0] = thef; };
 91     ieee754(uint32_t thei) { i[0] = thei; };       90     ieee754(uint32_t thei) { i[0] = thei; };
 92     G4double d;                                    91     G4double d;
 93     G4float f[2];                                  92     G4float f[2];
 94     uint32_t i[2];                                 93     uint32_t i[2];
 95     uint64_t ll;                                   94     uint64_t ll;
 96     uint16_t s[4];                                 95     uint16_t s[4];
 97   };                                               96   };
 98                                                    97 
 99   inline G4double get_log_px(const G4double x)     98   inline G4double get_log_px(const G4double x)
100   {                                                99   {
101     const G4double PX1log = 1.0187566380458093    100     const G4double PX1log = 1.01875663804580931796E-4;
102     const G4double PX2log = 4.9749499497674700    101     const G4double PX2log = 4.97494994976747001425E-1;
103     const G4double PX3log = 4.7057911987888172    102     const G4double PX3log = 4.70579119878881725854E0;
104     const G4double PX4log = 1.4498922534161093    103     const G4double PX4log = 1.44989225341610930846E1;
105     const G4double PX5log = 1.7936867850781981    104     const G4double PX5log = 1.79368678507819816313E1;
106     const G4double PX6log = 7.7083873375588539    105     const G4double PX6log = 7.70838733755885391666E0;
107                                                   106 
108     G4double px = PX1log;                         107     G4double px = PX1log;
109     px *= x;                                      108     px *= x;
110     px += PX2log;                                 109     px += PX2log;
111     px *= x;                                      110     px *= x;
112     px += PX3log;                                 111     px += PX3log;
113     px *= x;                                      112     px *= x;
114     px += PX4log;                                 113     px += PX4log;
115     px *= x;                                      114     px *= x;
116     px += PX5log;                                 115     px += PX5log;
117     px *= x;                                      116     px *= x;
118     px += PX6log;                                 117     px += PX6log;
119     return px;                                    118     return px;
120   }                                               119   }
121                                                   120 
122   inline G4double get_log_qx(const G4double x)    121   inline G4double get_log_qx(const G4double x)
123   {                                               122   {
124     const G4double QX1log = 1.1287358718916745    123     const G4double QX1log = 1.12873587189167450590E1;
125     const G4double QX2log = 4.5227914583753222    124     const G4double QX2log = 4.52279145837532221105E1;
126     const G4double QX3log = 8.2987526691277660    125     const G4double QX3log = 8.29875266912776603211E1;
127     const G4double QX4log = 7.1154475061856389    126     const G4double QX4log = 7.11544750618563894466E1;
128     const G4double QX5log = 2.3125162012676534    127     const G4double QX5log = 2.31251620126765340583E1;
129                                                   128 
130     G4double qx = x;                              129     G4double qx = x;
131     qx += QX1log;                                 130     qx += QX1log;
132     qx *= x;                                      131     qx *= x;
133     qx += QX2log;                                 132     qx += QX2log;
134     qx *= x;                                      133     qx *= x;
135     qx += QX3log;                                 134     qx += QX3log;
136     qx *= x;                                      135     qx *= x;
137     qx += QX4log;                                 136     qx += QX4log;
138     qx *= x;                                      137     qx *= x;
139     qx += QX5log;                                 138     qx += QX5log;
140     return qx;                                    139     return qx;
141   }                                               140   }
142                                                   141 
143   //------------------------------------------    142   //----------------------------------------------------------------------------
144   // Converts a double to an unsigned long lon    143   // Converts a double to an unsigned long long
145   //                                              144   //
146   inline uint64_t dp2uint64(G4double x)           145   inline uint64_t dp2uint64(G4double x)
147   {                                               146   {
148     ieee754 tmp;                                  147     ieee754 tmp;
149     tmp.d = x;                                    148     tmp.d = x;
150     return tmp.ll;                                149     return tmp.ll;
151   }                                               150   }
152                                                   151 
153   //------------------------------------------    152   //----------------------------------------------------------------------------
154   // Converts an unsigned long long to a doubl    153   // Converts an unsigned long long to a double
155   //                                              154   //
156   inline G4double uint642dp(uint64_t ll)          155   inline G4double uint642dp(uint64_t ll)
157   {                                               156   {
158     ieee754 tmp;                                  157     ieee754 tmp;
159     tmp.ll = ll;                                  158     tmp.ll = ll;
160     return tmp.d;                                 159     return tmp.d;
161   }                                               160   }
162                                                   161 
163   //------------------------------------------    162   //----------------------------------------------------------------------------
164   // Converts an int to a float                   163   // Converts an int to a float
165   //                                              164   //
166   inline G4float uint322sp(G4int x)               165   inline G4float uint322sp(G4int x)
167   {                                               166   {
168     ieee754 tmp;                                  167     ieee754 tmp;
169     tmp.i[0] = x;                                 168     tmp.i[0] = x;
170     return tmp.f[0];                              169     return tmp.f[0];
171   }                                               170   }
172                                                   171 
173   //------------------------------------------    172   //----------------------------------------------------------------------------
174   // Converts a float to an int                   173   // Converts a float to an int
175   //                                              174   //
176   inline uint32_t sp2uint32(G4float x)            175   inline uint32_t sp2uint32(G4float x)
177   {                                               176   {
178     ieee754 tmp;                                  177     ieee754 tmp;
179     tmp.f[0] = x;                                 178     tmp.f[0] = x;
180     return tmp.i[0];                              179     return tmp.i[0];
181   }                                               180   }
182                                                   181 
183   //------------------------------------------    182   //----------------------------------------------------------------------------
184   /// Like frexp but vectorising and the expon    183   /// Like frexp but vectorising and the exponent is a double.
185   inline G4double getMantExponent(const G4doub    184   inline G4double getMantExponent(const G4double x, G4double& fe)
186   {                                               185   {
187     uint64_t n = dp2uint64(x);                    186     uint64_t n = dp2uint64(x);
188                                                   187 
189     // Shift to the right up to the beginning     188     // Shift to the right up to the beginning of the exponent.
190     // Then with a mask, cut off the sign bit     189     // Then with a mask, cut off the sign bit
191     uint64_t le = (n >> 52);                      190     uint64_t le = (n >> 52);
192                                                   191 
193     // chop the head of the number: an int con    192     // chop the head of the number: an int contains more than 11 bits (32)
194     int32_t e =                                   193     int32_t e =
195       (int32_t)le;  // This is important since << 194       le;  // This is important since sums on uint64_t do not vectorise
196     fe = e - 1023;                                195     fe = e - 1023;
197                                                   196 
198     // This puts to 11 zeroes the exponent        197     // This puts to 11 zeroes the exponent
199     n &= 0x800FFFFFFFFFFFFFULL;                   198     n &= 0x800FFFFFFFFFFFFFULL;
200     // build a mask which is 0.5, i.e. an expo    199     // build a mask which is 0.5, i.e. an exponent equal to 1022
201     // which means *2, see the above +1.          200     // which means *2, see the above +1.
202     const uint64_t p05 = 0x3FE0000000000000ULL    201     const uint64_t p05 = 0x3FE0000000000000ULL;  // dp2uint64(0.5);
203     n |= p05;                                     202     n |= p05;
204                                                   203 
205     return uint642dp(n);                          204     return uint642dp(n);
206   }                                               205   }
207                                                   206 
208   //------------------------------------------    207   //----------------------------------------------------------------------------
209   /// Like frexp but vectorising and the expon    208   /// Like frexp but vectorising and the exponent is a float.
210   inline G4float getMantExponentf(const G4floa    209   inline G4float getMantExponentf(const G4float x, G4float& fe)
211   {                                               210   {
212     uint32_t n = sp2uint32(x);                    211     uint32_t n = sp2uint32(x);
213     int32_t e  = (n >> 23) - 127;                 212     int32_t e  = (n >> 23) - 127;
214     fe         = e;                               213     fe         = e;
215                                                   214 
216     // fractional part                            215     // fractional part
217     const uint32_t p05f = 0x3f000000;  // //sp    216     const uint32_t p05f = 0x3f000000;  // //sp2uint32(0.5);
218     n &= 0x807fffff;                   // ~0x7    217     n &= 0x807fffff;                   // ~0x7f800000;
219     n |= p05f;                                    218     n |= p05f;
220                                                   219 
221     return uint322sp(n);                          220     return uint322sp(n);
222   }                                               221   }
223 }  // namespace G4LogConsts                       222 }  // namespace G4LogConsts
224                                                   223 
225 // Log double precision ----------------------    224 // Log double precision --------------------------------------------------------
226                                                   225 
227 inline G4double G4Log(G4double x)                 226 inline G4double G4Log(G4double x)
228 {                                                 227 {
229   const G4double original_x = x;                  228   const G4double original_x = x;
230                                                   229 
231   /* separate mantissa from exponent */           230   /* separate mantissa from exponent */
232   G4double fe;                                    231   G4double fe;
233   x = G4LogConsts::getMantExponent(x, fe);        232   x = G4LogConsts::getMantExponent(x, fe);
234                                                   233 
235   // blending                                     234   // blending
236   x > G4LogConsts::SQRTH ? fe += 1. : x += x;     235   x > G4LogConsts::SQRTH ? fe += 1. : x += x;
237   x -= 1.0;                                       236   x -= 1.0;
238                                                   237 
239   /* rational form */                             238   /* rational form */
240   G4double px = G4LogConsts::get_log_px(x);       239   G4double px = G4LogConsts::get_log_px(x);
241                                                   240 
242   // for the final formula                        241   // for the final formula
243   const G4double x2 = x * x;                      242   const G4double x2 = x * x;
244   px *= x;                                        243   px *= x;
245   px *= x2;                                       244   px *= x2;
246                                                   245 
247   const G4double qx = G4LogConsts::get_log_qx(    246   const G4double qx = G4LogConsts::get_log_qx(x);
248                                                   247 
249   G4double res = px / qx;                         248   G4double res = px / qx;
250                                                   249 
251   res -= fe * 2.121944400546905827679e-4;         250   res -= fe * 2.121944400546905827679e-4;
252   res -= 0.5 * x2;                                251   res -= 0.5 * x2;
253                                                   252 
254   res = x + res;                                  253   res = x + res;
255   res += fe * 0.693359375;                        254   res += fe * 0.693359375;
256                                                   255 
257   if(original_x > G4LogConsts::LOG_UPPER_LIMIT    256   if(original_x > G4LogConsts::LOG_UPPER_LIMIT)
258     res = std::numeric_limits<G4double>::infin    257     res = std::numeric_limits<G4double>::infinity();
259   if(original_x < G4LogConsts::LOG_LOWER_LIMIT    258   if(original_x < G4LogConsts::LOG_LOWER_LIMIT)  // THIS IS NAN!
260     res = -std::numeric_limits<G4double>::quie    259     res = -std::numeric_limits<G4double>::quiet_NaN();
261                                                   260 
262   return res;                                     261   return res;
263 }                                                 262 }
264                                                   263 
265 // Log single precision ----------------------    264 // Log single precision --------------------------------------------------------
266                                                   265 
267 namespace G4LogConsts                             266 namespace G4LogConsts
268 {                                                 267 {
269   const G4float LOGF_UPPER_LIMIT = MAXNUMF;       268   const G4float LOGF_UPPER_LIMIT = MAXNUMF;
270   const G4float LOGF_LOWER_LIMIT = 0;             269   const G4float LOGF_LOWER_LIMIT = 0;
271                                                   270 
272   const G4float PX1logf = 7.0376836292E-2f;       271   const G4float PX1logf = 7.0376836292E-2f;
273   const G4float PX2logf = -1.1514610310E-1f;      272   const G4float PX2logf = -1.1514610310E-1f;
274   const G4float PX3logf = 1.1676998740E-1f;       273   const G4float PX3logf = 1.1676998740E-1f;
275   const G4float PX4logf = -1.2420140846E-1f;      274   const G4float PX4logf = -1.2420140846E-1f;
276   const G4float PX5logf = 1.4249322787E-1f;       275   const G4float PX5logf = 1.4249322787E-1f;
277   const G4float PX6logf = -1.6668057665E-1f;      276   const G4float PX6logf = -1.6668057665E-1f;
278   const G4float PX7logf = 2.0000714765E-1f;       277   const G4float PX7logf = 2.0000714765E-1f;
279   const G4float PX8logf = -2.4999993993E-1f;      278   const G4float PX8logf = -2.4999993993E-1f;
280   const G4float PX9logf = 3.3333331174E-1f;       279   const G4float PX9logf = 3.3333331174E-1f;
281                                                   280 
282   inline G4float get_log_poly(const G4float x)    281   inline G4float get_log_poly(const G4float x)
283   {                                               282   {
284     G4float y = x * PX1logf;                      283     G4float y = x * PX1logf;
285     y += PX2logf;                                 284     y += PX2logf;
286     y *= x;                                       285     y *= x;
287     y += PX3logf;                                 286     y += PX3logf;
288     y *= x;                                       287     y *= x;
289     y += PX4logf;                                 288     y += PX4logf;
290     y *= x;                                       289     y *= x;
291     y += PX5logf;                                 290     y += PX5logf;
292     y *= x;                                       291     y *= x;
293     y += PX6logf;                                 292     y += PX6logf;
294     y *= x;                                       293     y *= x;
295     y += PX7logf;                                 294     y += PX7logf;
296     y *= x;                                       295     y *= x;
297     y += PX8logf;                                 296     y += PX8logf;
298     y *= x;                                       297     y *= x;
299     y += PX9logf;                                 298     y += PX9logf;
300     return y;                                     299     return y;
301   }                                               300   }
302                                                   301 
303   const G4float SQRTHF = 0.707106781186547524f    302   const G4float SQRTHF = 0.707106781186547524f;
304 }  // namespace G4LogConsts                       303 }  // namespace G4LogConsts
305                                                   304 
306 // Log single precision ----------------------    305 // Log single precision --------------------------------------------------------
307                                                   306 
308 inline G4float G4Logf(G4float x)                  307 inline G4float G4Logf(G4float x)
309 {                                                 308 {
310   const G4float original_x = x;                   309   const G4float original_x = x;
311                                                   310 
312   G4float fe;                                     311   G4float fe;
313   x = G4LogConsts::getMantExponentf(x, fe);       312   x = G4LogConsts::getMantExponentf(x, fe);
314                                                   313 
315   x > G4LogConsts::SQRTHF ? fe += 1.f : x += x    314   x > G4LogConsts::SQRTHF ? fe += 1.f : x += x;
316   x -= 1.0f;                                      315   x -= 1.0f;
317                                                   316 
318   const G4float x2 = x * x;                       317   const G4float x2 = x * x;
319                                                   318 
320   G4float res = G4LogConsts::get_log_poly(x);     319   G4float res = G4LogConsts::get_log_poly(x);
321   res *= x2 * x;                                  320   res *= x2 * x;
322                                                   321 
323   res += -2.12194440e-4f * fe;                    322   res += -2.12194440e-4f * fe;
324   res += -0.5f * x2;                              323   res += -0.5f * x2;
325                                                   324 
326   res = x + res;                                  325   res = x + res;
327                                                   326 
328   res += 0.693359375f * fe;                       327   res += 0.693359375f * fe;
329                                                   328 
330   if(original_x > G4LogConsts::LOGF_UPPER_LIMI    329   if(original_x > G4LogConsts::LOGF_UPPER_LIMIT)
331     res = std::numeric_limits<G4float>::infini    330     res = std::numeric_limits<G4float>::infinity();
332   if(original_x < G4LogConsts::LOGF_LOWER_LIMI    331   if(original_x < G4LogConsts::LOGF_LOWER_LIMIT)
333     res = -std::numeric_limits<G4float>::quiet    332     res = -std::numeric_limits<G4float>::quiet_NaN();
334                                                   333 
335   return res;                                     334   return res;
336 }                                                 335 }
337                                                   336 
338 //--------------------------------------------    337 //------------------------------------------------------------------------------
339                                                   338 
340 void logv(const uint32_t size, G4double const*    339 void logv(const uint32_t size, G4double const* __restrict__ iarray,
341           G4double* __restrict__ oarray);         340           G4double* __restrict__ oarray);
342 void G4Logv(const uint32_t size, G4double cons    341 void G4Logv(const uint32_t size, G4double const* __restrict__ iarray,
343             G4double* __restrict__ oarray);       342             G4double* __restrict__ oarray);
344 void logfv(const uint32_t size, G4float const*    343 void logfv(const uint32_t size, G4float const* __restrict__ iarray,
345            G4float* __restrict__ oarray);         344            G4float* __restrict__ oarray);
346 void G4Logfv(const uint32_t size, G4float cons    345 void G4Logfv(const uint32_t size, G4float const* __restrict__ iarray,
347              G4float* __restrict__ oarray);       346              G4float* __restrict__ oarray);
348                                                   347 
349 #endif /* WIN32 */                                348 #endif /* WIN32 */
350                                                   349 
351 #endif /* LOG_H_ */                               350 #endif /* LOG_H_ */
352                                                   351