Geant4 11.1.1
Toolkit for the simulation of the passage of particles through matter
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BasicVector3D.cc
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1// -*- C++ -*-
2// ---------------------------------------------------------------------------
3
4#include <cmath>
5#include <float.h>
6#include <iostream>
7#include "CLHEP/Geometry/BasicVector3D.h"
8
9namespace HepGeom {
10 //--------------------------------------------------------------------------
11 template<>
12 float BasicVector3D<float>::pseudoRapidity() const {
13 float ma = mag(), dz = z();
14 if (ma == 0) return 0;
15 if (ma == dz) return FLT_MAX;
16 if (ma == -dz) return -FLT_MAX;
17 return 0.5*std::log((ma+dz)/(ma-dz));
18 }
19
20 //--------------------------------------------------------------------------
21 template<>
22 void BasicVector3D<float>::setEta(float a) {
23 double ma = mag();
24 if (ma == 0) return;
25 double tanHalfTheta = std::exp(-a);
26 double tanHalfTheta2 = tanHalfTheta * tanHalfTheta;
27 double cosTheta1 = (1 - tanHalfTheta2) / (1 + tanHalfTheta2);
28 double rh = ma * std::sqrt(1 - cosTheta1*cosTheta1);
29 double ph = phi();
30 set(rh*std::cos(ph), rh*std::sin(ph), ma*cosTheta1);
31 }
32
33 //--------------------------------------------------------------------------
34 template<>
35 float BasicVector3D<float>::angle(const BasicVector3D<float> & v) const {
36 double cosa = 0;
37 double ptot = mag()*v.mag();
38 if(ptot > 0) {
39 cosa = dot(v)/ptot;
40 if(cosa > 1) cosa = 1;
41 if(cosa < -1) cosa = -1;
42 }
43 return std::acos(cosa);
44 }
45
46 //--------------------------------------------------------------------------
47 template<>
48 BasicVector3D<float> & BasicVector3D<float>::rotateX(float a) {
49 double sina = std::sin(a), cosa = std::cos(a), dy = y(), dz = z();
50 setY(dy*cosa-dz*sina);
51 setZ(dz*cosa+dy*sina);
52 return *this;
53 }
54
55 //--------------------------------------------------------------------------
56 template<>
57 BasicVector3D<float> & BasicVector3D<float>::rotateY(float a) {
58 double sina = std::sin(a), cosa = std::cos(a), dz = z(), dx = x();
59 setZ(dz*cosa-dx*sina);
60 setX(dx*cosa+dz*sina);
61 return *this;
62 }
63
64 //--------------------------------------------------------------------------
65 template<>
66 BasicVector3D<float> & BasicVector3D<float>::rotateZ(float a) {
67 double sina = std::sin(a), cosa = std::cos(a), dx = x(), dy = y();
68 setX(dx*cosa-dy*sina);
69 setY(dy*cosa+dx*sina);
70 return *this;
71 }
72
73 //--------------------------------------------------------------------------
74 template<>
75 BasicVector3D<float> &
76 BasicVector3D<float>::rotate(float a, const BasicVector3D<float> & v) {
77 if (a == 0) return *this;
78 double cx = v.x(), cy = v.y(), cz = v.z();
79 double ll = std::sqrt(cx*cx + cy*cy + cz*cz);
80 if (ll == 0) {
81 std::cerr << "BasicVector<float>::rotate() : zero axis" << std::endl;
82 return *this;
83 }
84 double cosa = std::cos(a), sina = std::sin(a);
85 cx /= ll; cy /= ll; cz /= ll;
86
87 double xx = cosa + (1-cosa)*cx*cx;
88 double xy = (1-cosa)*cx*cy - sina*cz;
89 double xz = (1-cosa)*cx*cz + sina*cy;
90
91 double yx = (1-cosa)*cy*cx + sina*cz;
92 double yy = cosa + (1-cosa)*cy*cy;
93 double yz = (1-cosa)*cy*cz - sina*cx;
94
95 double zx = (1-cosa)*cz*cx - sina*cy;
96 double zy = (1-cosa)*cz*cy + sina*cx;
97 double zz = cosa + (1-cosa)*cz*cz;
98
99 cx = x(); cy = y(); cz = z();
100 set(xx*cx+xy*cy+xz*cz, yx*cx+yy*cy+yz*cz, zx*cx+zy*cy+zz*cz);
101 return *this;
102 }
103
104 //--------------------------------------------------------------------------
105 std::ostream &
106 operator<<(std::ostream & os, const BasicVector3D<float> & a)
107 {
108 return os << "(" << a.x() << "," << a.y() << "," << a.z() << ")";
109 }
110
111 //--------------------------------------------------------------------------
112 std::istream &
113 operator>> (std::istream & is, BasicVector3D<float> & a)
114 {
115 // Required format is ( a, b, c ) that is, three numbers, preceded by
116 // (, followed by ), and separated by commas. The three numbers are
117 // taken as x, y, z.
118
119 float x, y, z;
120 char c;
121
122 is >> std::ws >> c;
123 // ws is defined to invoke eatwhite(istream & )
124 // see (Stroustrup gray book) page 333 and 345.
125 if (is.fail() || c != '(' ) {
126 std::cerr
127 << "Could not find required opening parenthesis "
128 << "in input of a BasicVector3D<float>"
129 << std::endl;
130 return is;
131 }
132
133 is >> x >> std::ws >> c;
134 if (is.fail() || c != ',' ) {
135 std::cerr
136 << "Could not find x value and required trailing comma "
137 << "in input of a BasicVector3D<float>"
138 << std::endl;
139 return is;
140 }
141
142 is >> y >> std::ws >> c;
143 if (is.fail() || c != ',' ) {
144 std::cerr
145 << "Could not find y value and required trailing comma "
146 << "in input of a BasicVector3D<float>"
147 << std::endl;
148 return is;
149 }
150
151 is >> z >> std::ws >> c;
152 if (is.fail() || c != ')' ) {
153 std::cerr
154 << "Could not find z value and required close parenthesis "
155 << "in input of a BasicVector3D<float>"
156 << std::endl;
157 return is;
158 }
159
160 a.setX(x);
161 a.setY(y);
162 a.setZ(z);
163 return is;
164 }
165
166 //--------------------------------------------------------------------------
167 template<>
168 double BasicVector3D<double>::pseudoRapidity() const {
169 double ma = mag(), dz = z();
170 if (ma == 0) return 0;
171 if (ma == dz) return DBL_MAX;
172 if (ma == -dz) return -DBL_MAX;
173 return 0.5*std::log((ma+dz)/(ma-dz));
174 }
175
176 //--------------------------------------------------------------------------
177 template<>
178 void BasicVector3D<double>::setEta(double a) {
179 double ma = mag();
180 if (ma == 0) return;
181 double tanHalfTheta = std::exp(-a);
182 double tanHalfTheta2 = tanHalfTheta * tanHalfTheta;
183 double cosTheta1 = (1 - tanHalfTheta2) / (1 + tanHalfTheta2);
184 double rh = ma * std::sqrt(1 - cosTheta1*cosTheta1);
185 double ph = phi();
186 set(rh*std::cos(ph), rh*std::sin(ph), ma*cosTheta1);
187 }
188
189 //--------------------------------------------------------------------------
190 template<>
191 double BasicVector3D<double>::angle(const BasicVector3D<double> & v) const {
192 double cosa = 0;
193 double ptot = mag()*v.mag();
194 if(ptot > 0) {
195 cosa = dot(v)/ptot;
196 if(cosa > 1) cosa = 1;
197 if(cosa < -1) cosa = -1;
198 }
199 return std::acos(cosa);
200 }
201
202 //--------------------------------------------------------------------------
203 template<>
204 BasicVector3D<double> & BasicVector3D<double>::rotateX(double a) {
205 double sina = std::sin(a), cosa = std::cos(a), dy = y(), dz = z();
206 setY(dy*cosa-dz*sina);
207 setZ(dz*cosa+dy*sina);
208 return *this;
209 }
210
211 //--------------------------------------------------------------------------
212 template<>
213 BasicVector3D<double> & BasicVector3D<double>::rotateY(double a) {
214 double sina = std::sin(a), cosa = std::cos(a), dz = z(), dx = x();
215 setZ(dz*cosa-dx*sina);
216 setX(dx*cosa+dz*sina);
217 return *this;
218 }
219
220 //--------------------------------------------------------------------------
221 template<>
222 BasicVector3D<double> & BasicVector3D<double>::rotateZ(double a) {
223 double sina = std::sin(a), cosa = std::cos(a), dx = x(), dy = y();
224 setX(dx*cosa-dy*sina);
225 setY(dy*cosa+dx*sina);
226 return *this;
227 }
228
229 //--------------------------------------------------------------------------
230 template<>
231 BasicVector3D<double> &
232 BasicVector3D<double>::rotate(double a, const BasicVector3D<double> & v) {
233 if (a == 0) return *this;
234 double cx = v.x(), cy = v.y(), cz = v.z();
235 double ll = std::sqrt(cx*cx + cy*cy + cz*cz);
236 if (ll == 0) {
237 std::cerr << "BasicVector<double>::rotate() : zero axis" << std::endl;
238 return *this;
239 }
240 double cosa = std::cos(a), sina = std::sin(a);
241 cx /= ll; cy /= ll; cz /= ll;
242
243 double xx = cosa + (1-cosa)*cx*cx;
244 double xy = (1-cosa)*cx*cy - sina*cz;
245 double xz = (1-cosa)*cx*cz + sina*cy;
246
247 double yx = (1-cosa)*cy*cx + sina*cz;
248 double yy = cosa + (1-cosa)*cy*cy;
249 double yz = (1-cosa)*cy*cz - sina*cx;
250
251 double zx = (1-cosa)*cz*cx - sina*cy;
252 double zy = (1-cosa)*cz*cy + sina*cx;
253 double zz = cosa + (1-cosa)*cz*cz;
254
255 cx = x(); cy = y(); cz = z();
256 set(xx*cx+xy*cy+xz*cz, yx*cx+yy*cy+yz*cz, zx*cx+zy*cy+zz*cz);
257 return *this;
258 }
259
260 //--------------------------------------------------------------------------
261 std::ostream &
262 operator<< (std::ostream & os, const BasicVector3D<double> & a)
263 {
264 return os << "(" << a.x() << "," << a.y() << "," << a.z() << ")";
265 }
266
267 //--------------------------------------------------------------------------
268 std::istream &
269 operator>> (std::istream & is, BasicVector3D<double> & a)
270 {
271 // Required format is ( a, b, c ) that is, three numbers, preceded by
272 // (, followed by ), and separated by commas. The three numbers are
273 // taken as x, y, z.
274
275 double x, y, z;
276 char c;
277
278 is >> std::ws >> c;
279 // ws is defined to invoke eatwhite(istream & )
280 // see (Stroustrup gray book) page 333 and 345.
281 if (is.fail() || c != '(' ) {
282 std::cerr
283 << "Could not find required opening parenthesis "
284 << "in input of a BasicVector3D<double>"
285 << std::endl;
286 return is;
287 }
288
289 is >> x >> std::ws >> c;
290 if (is.fail() || c != ',' ) {
291 std::cerr
292 << "Could not find x value and required trailing comma "
293 << "in input of a BasicVector3D<double>"
294 << std::endl;
295 return is;
296 }
297
298 is >> y >> std::ws >> c;
299 if (is.fail() || c != ',' ) {
300 std::cerr
301 << "Could not find y value and required trailing comma "
302 << "in input of a BasicVector3D<double>"
303 << std::endl;
304 return is;
305 }
306
307 is >> z >> std::ws >> c;
308 if (is.fail() || c != ')' ) {
309 std::cerr
310 << "Could not find z value and required close parenthesis "
311 << "in input of a BasicVector3D<double>"
312 << std::endl;
313 return is;
314 }
315
316 a.setX(x);
317 a.setY(y);
318 a.setZ(z);
319 return is;
320 }
321} /* namespace HepGeom */
HepGeom::BasicVector3D::rotateZ
BasicVector3D< T > & rotateZ(T a)
HepGeom::BasicVector3D::rotateX
BasicVector3D< T > & rotateX(T a)
HepGeom::BasicVector3D::rotate
BasicVector3D< T > & rotate(T a, const BasicVector3D< T > &v)
HepGeom::BasicVector3D::angle
T angle(const BasicVector3D< T > &v) const
HepGeom::BasicVector3D::rotateY
BasicVector3D< T > & rotateY(T a)
HepGeom::operator>>
std::istream & operator>>(std::istream &is, BasicVector3D< float > &a)
Definition: BasicVector3D.cc:113
HepGeom::operator<<
std::ostream & operator<<(std::ostream &os, const BasicVector3D< float > &a)
Definition: BasicVector3D.cc:106
FLT_MAX
#define FLT_MAX
Definition: templates.hh:78
DBL_MAX
#define DBL_MAX
Definition: templates.hh:62