Geant4 Cross Reference

Cross-Referencing   Geant4
Geant4/global/HEPNumerics/src/G4GaussHermiteQ.cc

Version: [ ReleaseNotes ] [ 1.0 ] [ 1.1 ] [ 2.0 ] [ 3.0 ] [ 3.1 ] [ 3.2 ] [ 4.0 ] [ 4.0.p1 ] [ 4.0.p2 ] [ 4.1 ] [ 4.1.p1 ] [ 5.0 ] [ 5.0.p1 ] [ 5.1 ] [ 5.1.p1 ] [ 5.2 ] [ 5.2.p1 ] [ 5.2.p2 ] [ 6.0 ] [ 6.0.p1 ] [ 6.1 ] [ 6.2 ] [ 6.2.p1 ] [ 6.2.p2 ] [ 7.0 ] [ 7.0.p1 ] [ 7.1 ] [ 7.1.p1 ] [ 8.0 ] [ 8.0.p1 ] [ 8.1 ] [ 8.1.p1 ] [ 8.1.p2 ] [ 8.2 ] [ 8.2.p1 ] [ 8.3 ] [ 8.3.p1 ] [ 8.3.p2 ] [ 9.0 ] [ 9.0.p1 ] [ 9.0.p2 ] [ 9.1 ] [ 9.1.p1 ] [ 9.1.p2 ] [ 9.1.p3 ] [ 9.2 ] [ 9.2.p1 ] [ 9.2.p2 ] [ 9.2.p3 ] [ 9.2.p4 ] [ 9.3 ] [ 9.3.p1 ] [ 9.3.p2 ] [ 9.4 ] [ 9.4.p1 ] [ 9.4.p2 ] [ 9.4.p3 ] [ 9.4.p4 ] [ 9.5 ] [ 9.5.p1 ] [ 9.5.p2 ] [ 9.6 ] [ 9.6.p1 ] [ 9.6.p2 ] [ 9.6.p3 ] [ 9.6.p4 ] [ 10.0 ] [ 10.0.p1 ] [ 10.0.p2 ] [ 10.0.p3 ] [ 10.0.p4 ] [ 10.1 ] [ 10.1.p1 ] [ 10.1.p2 ] [ 10.1.p3 ] [ 10.2 ] [ 10.2.p1 ] [ 10.2.p2 ] [ 10.2.p3 ] [ 10.3 ] [ 10.3.p1 ] [ 10.3.p2 ] [ 10.3.p3 ] [ 10.4 ] [ 10.4.p1 ] [ 10.4.p2 ] [ 10.4.p3 ] [ 10.5 ] [ 10.5.p1 ] [ 10.6 ] [ 10.6.p1 ] [ 10.6.p2 ] [ 10.6.p3 ] [ 10.7 ] [ 10.7.p1 ] [ 10.7.p2 ] [ 10.7.p3 ] [ 10.7.p4 ] [ 11.0 ] [ 11.0.p1 ] [ 11.0.p2 ] [ 11.0.p3, ] [ 11.0.p4 ] [ 11.1 ] [ 11.1.1 ] [ 11.1.2 ] [ 11.1.3 ] [ 11.2 ] [ 11.2.1 ] [ 11.2.2 ] [ 11.3.0 ]

Diff markup

Differences between /global/HEPNumerics/src/G4GaussHermiteQ.cc (Version 11.3.0) and /global/HEPNumerics/src/G4GaussHermiteQ.cc (Version 10.7.p3)


  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 // G4GaussHermiteQ class implementation            26 // G4GaussHermiteQ class implementation
 27 //                                                 27 //
 28 // Author: V.Grichine, 13.05.1997 V.Grichine       28 // Author: V.Grichine, 13.05.1997 V.Grichine
 29 // -------------------------------------------     29 // --------------------------------------------------------------------
 30                                                    30 
 31 #include "G4GaussHermiteQ.hh"                      31 #include "G4GaussHermiteQ.hh"
 32 #include "G4PhysicalConstants.hh"                  32 #include "G4PhysicalConstants.hh"
 33                                                    33 
 34 #include <limits>                              << 
 35                                                << 
 36 // -------------------------------------------     34 // ----------------------------------------------------------
 37 //                                                 35 //
 38 // Constructor for Gauss-Hermite                   36 // Constructor for Gauss-Hermite
 39                                                    37 
 40 G4GaussHermiteQ::G4GaussHermiteQ(function pFun     38 G4GaussHermiteQ::G4GaussHermiteQ(function pFunction, G4int nHermite)
 41   : G4VGaussianQuadrature(pFunction)               39   : G4VGaussianQuadrature(pFunction)
 42 {                                                  40 {
 43   const G4double tolerance = 1.0e-12;              41   const G4double tolerance = 1.0e-12;
 44   const G4int maxNumber    = 12;                   42   const G4int maxNumber    = 12;
 45                                                    43 
 46   G4int i = 1, j = 1, k = 1;                       44   G4int i = 1, j = 1, k = 1;
 47   G4double newton0 = 0.;                           45   G4double newton0 = 0.;
 48   G4double newton1 = 0.0, temp1 = 0.0, temp2 =     46   G4double newton1 = 0.0, temp1 = 0.0, temp2 = 0.0, temp3 = 0.0, temp = 0.0;
 49   G4double piInMinusQ = std::pow(pi, -0.25);       47   G4double piInMinusQ = std::pow(pi, -0.25);  // 1.0/std::sqrt(std::sqrt(pi)) ??
 50                                                    48 
 51   fNumber   = (nHermite + 1) / 2;                  49   fNumber   = (nHermite + 1) / 2;
 52   fAbscissa = new G4double[fNumber];               50   fAbscissa = new G4double[fNumber];
 53   fWeight   = new G4double[fNumber];               51   fWeight   = new G4double[fNumber];
 54                                                    52 
 55   for(i = 1; i <= fNumber; ++i)                    53   for(i = 1; i <= fNumber; ++i)
 56   {                                                54   {
 57     if(i == 1)                                     55     if(i == 1)
 58     {                                              56     {
 59       newton0 =                                    57       newton0 =
 60         std::sqrt((G4double)(2 * nHermite + 1)     58         std::sqrt((G4double)(2 * nHermite + 1)) -
 61         1.85575001 * std::pow((G4double)(2 * n     59         1.85575001 * std::pow((G4double)(2 * nHermite + 1), -0.16666999);
 62     }                                              60     }
 63     else if(i == 2)                                61     else if(i == 2)
 64     {                                              62     {
 65       newton0 -= 1.14001 * std::pow((G4double)     63       newton0 -= 1.14001 * std::pow((G4double) nHermite, 0.425999) / newton0;
 66     }                                              64     }
 67     else if(i == 3)                                65     else if(i == 3)
 68     {                                              66     {
 69       newton0 = 1.86002 * newton0 - 0.86002 *      67       newton0 = 1.86002 * newton0 - 0.86002 * fAbscissa[0];
 70     }                                              68     }
 71     else if(i == 4)                                69     else if(i == 4)
 72     {                                              70     {
 73       newton0 = 1.91001 * newton0 - 0.91001 *      71       newton0 = 1.91001 * newton0 - 0.91001 * fAbscissa[1];
 74     }                                              72     }
 75     else                                           73     else
 76     {                                              74     {
 77       newton0 = 2.0 * newton0 - fAbscissa[i -      75       newton0 = 2.0 * newton0 - fAbscissa[i - 3];
 78     }                                              76     }
 79     for(k = 1; k <= maxNumber; ++k)                77     for(k = 1; k <= maxNumber; ++k)
 80     {                                              78     {
 81       temp1 = piInMinusQ;                          79       temp1 = piInMinusQ;
 82       temp2 = 0.0;                                 80       temp2 = 0.0;
 83       for(j = 1; j <= nHermite; ++j)               81       for(j = 1; j <= nHermite; ++j)
 84       {                                            82       {
 85         temp3 = temp2;                             83         temp3 = temp2;
 86         temp2 = temp1;                             84         temp2 = temp1;
 87         temp1 = newton0 * std::sqrt(2.0 / j) *     85         temp1 = newton0 * std::sqrt(2.0 / j) * temp2 -
 88                 std::sqrt(((G4double)(j - 1))      86                 std::sqrt(((G4double)(j - 1)) / j) * temp3;
 89       }                                            87       }
 90       temp    = std::sqrt((G4double) 2 * nHerm     88       temp    = std::sqrt((G4double) 2 * nHermite) * temp2;
 91       newton1 = newton0;                           89       newton1 = newton0;
 92       G4double ratio = std::numeric_limits<G4d <<  90       newton0 = newton1 - temp1 / temp;
 93       if(temp > 0.0)                           << 
 94       {                                        << 
 95         ratio = temp1 / temp;                  << 
 96       }                                        << 
 97       newton0 = newton1 - ratio;               << 
 98       if(std::fabs(newton0 - newton1) <= toler     91       if(std::fabs(newton0 - newton1) <= tolerance)
 99       {                                            92       {
100         break;                                     93         break;
101       }                                            94       }
102     }                                              95     }
103     if(k > maxNumber)                              96     if(k > maxNumber)
104     {                                              97     {
105       G4Exception("G4GaussHermiteQ::G4GaussHer     98       G4Exception("G4GaussHermiteQ::G4GaussHermiteQ()", "OutOfRange",
106                   FatalException,                  99                   FatalException,
107                   "Too many iterations in Gaus    100                   "Too many iterations in Gauss-Hermite constructor.");
108     }                                             101     }
109     fAbscissa[i - 1] = newton0;                   102     fAbscissa[i - 1] = newton0;
110     fWeight[i - 1]   = 2.0 / (temp * temp);       103     fWeight[i - 1]   = 2.0 / (temp * temp);
111   }                                               104   }
112 }                                                 105 }
113                                                   106 
114 // -------------------------------------------    107 // ----------------------------------------------------------
115 //                                                108 //
116 // Gauss-Hermite method for integration of std    109 // Gauss-Hermite method for integration of std::exp(-x*x)*nFunction(x)
117 // from minus infinity to plus infinity .         110 // from minus infinity to plus infinity .
118                                                   111 
119 G4double G4GaussHermiteQ::Integral() const        112 G4double G4GaussHermiteQ::Integral() const
120 {                                                 113 {
121   G4double integral = 0.0;                        114   G4double integral = 0.0;
122   for(G4int i = 0; i < fNumber; ++i)              115   for(G4int i = 0; i < fNumber; ++i)
123   {                                               116   {
124     integral +=                                   117     integral +=
125       fWeight[i] * (fFunction(fAbscissa[i]) +     118       fWeight[i] * (fFunction(fAbscissa[i]) + fFunction(-fAbscissa[i]));
126   }                                               119   }
127   return integral;                                120   return integral;
128 }                                                 121 }
129                                                   122