Geant4 11.2.2
Toolkit for the simulation of the passage of particles through matter
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G4INCLGlobals.cc
Go to the documentation of this file.
1//
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25//
26// INCL++ intra-nuclear cascade model
27// Alain Boudard, CEA-Saclay, France
28// Joseph Cugnon, University of Liege, Belgium
29// Jean-Christophe David, CEA-Saclay, France
30// Pekka Kaitaniemi, CEA-Saclay, France, and Helsinki Institute of Physics, Finland
31// Sylvie Leray, CEA-Saclay, France
32// Davide Mancusi, CEA-Saclay, France
33//
34#define INCLXX_IN_GEANT4_MODE 1
35
36#include "globals.hh"
37
38#include "G4INCLGlobals.hh"
39#include "G4INCLParticle.hh"
40#ifdef HAVE_WORDEXP
41#include <wordexp.h>
42#endif
43
44namespace G4INCL {
45 namespace Math {
46
47 namespace {
48
49 // constants for the Gaussian CDF approximation
50 const G4double gcdfa1 = 0.254829592;
51 const G4double gcdfa2 = -0.284496736;
52 const G4double gcdfa3 = 1.421413741;
53 const G4double gcdfa4 = -1.453152027;
54 const G4double gcdfa5 = 1.061405429;
55 const G4double gcdfp = 0.3275911;
56
57 // constants for the inverse Gaussian CDF approximation
58 const G4double igcdfc1 = 2.515517;
59 const G4double igcdfc2 = 0.802853;
60 const G4double igcdfc3 = 0.010328;
61 const G4double igcdfd1 = 1.432788;
62 const G4double igcdfd2 = 0.189269;
63 const G4double igcdfd3 = 0.001308;
64
65 G4double inverseGaussianCDFRational(const G4double t) {
66 // Abramowitz and Stegun formula 26.2.23.
67 // The absolute value of the error should be less than 4.5 e-4.
68 return t - ((igcdfc3*t + igcdfc2)*t + igcdfc1) /
69 (((igcdfd3*t + igcdfd2)*t + igcdfd1)*t + 1.0);
70 }
71
72 }
73
75 {
76 // Save the sign of x
77 const G4double sgn = sign(x);
78 const G4double z = std::fabs(x) * oneOverSqrtTwo;
79
80 // A&S formula 7.1.26
81 G4double t = 1.0/(1.0 + gcdfp*z);
82 G4double y = 1.0 - (((((gcdfa5*t + gcdfa4)*t) + gcdfa3)*t + gcdfa2)*t + gcdfa1)*t*std::exp(-z*z);
83
84 return 0.5*(1.0 + sgn*y);
85 }
86
87 G4double gaussianCDF(const G4double x, const G4double x0, const G4double sigma) {
88 return gaussianCDF((x-x0)/sigma);
89 }
90
92 if (x < 0.5)
93 return -inverseGaussianCDFRational( std::sqrt(-2.0*std::log(x)) );
94 else
95 return inverseGaussianCDFRational( std::sqrt(-2.0*std::log(1.-x)) );
96 }
97
99// assert(x>-1.000001 && x<1.000001);
100 return ((x > 1.) ? 0. : ((x<-1.) ? pi : std::asin(x)));
101 }
102
104// assert(x>-1.000001 && x<1.000001);
105 return ((x > 1.) ? 0. : ((x<-1.) ? pi : std::acos(x)));
106 }
107 }
108
109 namespace ParticleConfig {
110 G4bool isPair(Particle const * const p1, Particle const * const p2, ParticleType t1, ParticleType t2) {
111 return ((p1->getType() == t1 && p2->getType() == t2) ||
112 (p1->getType() == t2 && p2->getType() == t1));
113 }
114 }
115
116#ifndef INCLXX_IN_GEANT4_MODE
117 namespace String {
118 void wrap(std::string &str, const size_t lineLength, const std::string &separators) {
119 const size_t len = str.size();
120 size_t startPos = 0;
121 while(len-startPos > lineLength) { /* Loop checking, 10.07.2015, D.Mancusi */
122 const size_t nextNewline = str.find('\n', startPos);
123 if(nextNewline!=std::string::npos && nextNewline-startPos<=lineLength)
124 startPos = nextNewline+1;
125 else {
126 size_t lastSeparator = str.find_last_of(separators, startPos+lineLength);
127 if(lastSeparator!=std::string::npos)
128 str[lastSeparator] = '\n';
129 startPos = lastSeparator+1;
130 }
131 }
132 }
133
134 void replaceAll(std::string &str, const std::string &from, const std::string &to, const size_t maxPosition) {
135 if(from.empty())
136 return;
137 size_t start_pos = 0;
138 size_t cur_max_pos = maxPosition;
139 const size_t from_len = from.length();
140 const size_t to_len = to.length();
141 while((start_pos = str.find(from, start_pos)) != std::string::npos /* Loop checking, 10.07.2015, D.Mancusi */
142 && (cur_max_pos==std::string::npos || start_pos<cur_max_pos)) {
143 str.replace(start_pos, from_len, to);
144 start_pos += to_len; // In case 'to' contains 'from', like replacing 'x' with 'yx'
145 if(cur_max_pos!=std::string::npos)
146 cur_max_pos += to_len - from_len;
147 }
148 }
149
150 std::vector<std::string> tokenize(std::string const &str, const std::string &delimiters) {
151 size_t startPos = 0, endPos;
152 std::vector<std::string> tokens;
153 do {
154 endPos = str.find_first_of(delimiters, startPos);
155 std::string token = str.substr(startPos, endPos-startPos);
156 tokens.push_back(token);
157 startPos = str.find_first_not_of(delimiters, endPos);
158 } while(endPos!=std::string::npos); /* Loop checking, 10.07.2015, D.Mancusi */
159
160 return tokens;
161 }
162
163 G4bool isInteger(std::string const &str) {
164 const size_t pos = str.find_first_not_of("0123456789");
165 return (pos==std::string::npos);
166 }
167
168 std::string expandPath(std::string const &path) {
169#ifdef HAVE_WORDEXP
170 wordexp_t expansionResult;
171 std::string result;
172 G4int err = wordexp(path.c_str(), &expansionResult, WRDE_NOCMD);
173 if(err)
174 result = path;
175 else
176 result = expansionResult.we_wordv[0];
177 wordfree(&expansionResult);
178 return result;
179#else
180 // no-op if wordexp.h is not found
181 return path;
182#endif
183 }
184 }
185
186#endif // INCLXX_IN_GEANT4_MODE
187
188}
double G4double
Definition G4Types.hh:83
bool G4bool
Definition G4Types.hh:86
int G4int
Definition G4Types.hh:85
G4INCL::ParticleType getType() const
G4double gaussianCDF(const G4double x)
Cumulative distribution function for Gaussian.
G4double arcSin(const G4double x)
Calculates arcsin with some tolerance on illegal arguments.
const G4double oneOverSqrtTwo
G4double arcCos(const G4double x)
Calculates arccos with some tolerance on illegal arguments.
G4double inverseGaussianCDF(const G4double x)
Inverse cumulative distribution function for Gaussian.
G4int sign(const T t)
G4bool isPair(Particle const *const p1, Particle const *const p2, ParticleType t1, ParticleType t2)