| Geant4 Cross Reference |
1 // -*- C++ -*- 1 // -*- C++ -*-
>> 2 // $Id:$
2 // ------------------------------------------- 3 // ---------------------------------------------------------------------------
3 4
4 #include <cmath> 5 #include <cmath>
5 #include <float.h> 6 #include <float.h>
6 #include <iostream> 7 #include <iostream>
7 #include "CLHEP/Geometry/BasicVector3D.h" 8 #include "CLHEP/Geometry/BasicVector3D.h"
8 9
9 namespace HepGeom { 10 namespace HepGeom {
10 //------------------------------------------ 11 //--------------------------------------------------------------------------
11 template<> 12 template<>
12 float BasicVector3D<float>::pseudoRapidity() 13 float BasicVector3D<float>::pseudoRapidity() const {
13 float ma = mag(), dz = z(); 14 float ma = mag(), dz = z();
14 if (ma == 0) return 0; 15 if (ma == 0) return 0;
15 if (ma == dz) return FLT_MAX; 16 if (ma == dz) return FLT_MAX;
16 if (ma == -dz) return -FLT_MAX; 17 if (ma == -dz) return -FLT_MAX;
17 return 0.5*std::log((ma+dz)/(ma-dz)); 18 return 0.5*std::log((ma+dz)/(ma-dz));
18 } 19 }
19 20
20 //------------------------------------------ 21 //--------------------------------------------------------------------------
21 template<> 22 template<>
22 void BasicVector3D<float>::setEta(float a) { 23 void BasicVector3D<float>::setEta(float a) {
23 double ma = mag(); 24 double ma = mag();
24 if (ma == 0) return; 25 if (ma == 0) return;
25 double tanHalfTheta = std::exp(-a); 26 double tanHalfTheta = std::exp(-a);
26 double tanHalfTheta2 = tanHalfTheta * tanH 27 double tanHalfTheta2 = tanHalfTheta * tanHalfTheta;
27 double cosTheta1 = (1 - tanHalfTheta2 << 28 double cosTheta = (1 - tanHalfTheta2) / (1 + tanHalfTheta2);
28 double rh = ma * std::sqrt(1 - << 29 double rh = ma * std::sqrt(1 - cosTheta*cosTheta);
29 double ph = phi(); 30 double ph = phi();
30 set(rh*std::cos(ph), rh*std::sin(ph), ma*c << 31 set(rh*std::cos(ph), rh*std::sin(ph), ma*cosTheta);
31 } 32 }
32 33
33 //------------------------------------------ 34 //--------------------------------------------------------------------------
34 template<> 35 template<>
35 float BasicVector3D<float>::angle(const Basi 36 float BasicVector3D<float>::angle(const BasicVector3D<float> & v) const {
36 double cosa = 0; 37 double cosa = 0;
37 double ptot = mag()*v.mag(); 38 double ptot = mag()*v.mag();
38 if(ptot > 0) { 39 if(ptot > 0) {
39 cosa = dot(v)/ptot; 40 cosa = dot(v)/ptot;
40 if(cosa > 1) cosa = 1; 41 if(cosa > 1) cosa = 1;
41 if(cosa < -1) cosa = -1; 42 if(cosa < -1) cosa = -1;
42 } 43 }
43 return std::acos(cosa); 44 return std::acos(cosa);
44 } 45 }
45 46
46 //------------------------------------------ 47 //--------------------------------------------------------------------------
47 template<> 48 template<>
48 BasicVector3D<float> & BasicVector3D<float>: 49 BasicVector3D<float> & BasicVector3D<float>::rotateX(float a) {
49 double sina = std::sin(a), cosa = std::cos 50 double sina = std::sin(a), cosa = std::cos(a), dy = y(), dz = z();
50 setY(dy*cosa-dz*sina); 51 setY(dy*cosa-dz*sina);
51 setZ(dz*cosa+dy*sina); 52 setZ(dz*cosa+dy*sina);
52 return *this; 53 return *this;
53 } 54 }
54 55
55 //------------------------------------------ 56 //--------------------------------------------------------------------------
56 template<> 57 template<>
57 BasicVector3D<float> & BasicVector3D<float>: 58 BasicVector3D<float> & BasicVector3D<float>::rotateY(float a) {
58 double sina = std::sin(a), cosa = std::cos 59 double sina = std::sin(a), cosa = std::cos(a), dz = z(), dx = x();
59 setZ(dz*cosa-dx*sina); 60 setZ(dz*cosa-dx*sina);
60 setX(dx*cosa+dz*sina); 61 setX(dx*cosa+dz*sina);
61 return *this; 62 return *this;
62 } 63 }
63 64
64 //------------------------------------------ 65 //--------------------------------------------------------------------------
65 template<> 66 template<>
66 BasicVector3D<float> & BasicVector3D<float>: 67 BasicVector3D<float> & BasicVector3D<float>::rotateZ(float a) {
67 double sina = std::sin(a), cosa = std::cos 68 double sina = std::sin(a), cosa = std::cos(a), dx = x(), dy = y();
68 setX(dx*cosa-dy*sina); 69 setX(dx*cosa-dy*sina);
69 setY(dy*cosa+dx*sina); 70 setY(dy*cosa+dx*sina);
70 return *this; 71 return *this;
71 } 72 }
72 73
73 //------------------------------------------ 74 //--------------------------------------------------------------------------
74 template<> 75 template<>
75 BasicVector3D<float> & 76 BasicVector3D<float> &
76 BasicVector3D<float>::rotate(float a, const 77 BasicVector3D<float>::rotate(float a, const BasicVector3D<float> & v) {
77 if (a == 0) return *this; 78 if (a == 0) return *this;
78 double cx = v.x(), cy = v.y(), cz = v.z(); 79 double cx = v.x(), cy = v.y(), cz = v.z();
79 double ll = std::sqrt(cx*cx + cy*cy + cz*c 80 double ll = std::sqrt(cx*cx + cy*cy + cz*cz);
80 if (ll == 0) { 81 if (ll == 0) {
81 std::cerr << "BasicVector<float>::rotate 82 std::cerr << "BasicVector<float>::rotate() : zero axis" << std::endl;
82 return *this; 83 return *this;
83 } 84 }
84 double cosa = std::cos(a), sina = std::sin 85 double cosa = std::cos(a), sina = std::sin(a);
85 cx /= ll; cy /= ll; cz /= ll; 86 cx /= ll; cy /= ll; cz /= ll;
86 87
87 double xx = cosa + (1-cosa)*cx*cx; 88 double xx = cosa + (1-cosa)*cx*cx;
88 double xy = (1-cosa)*cx*cy - sina*c 89 double xy = (1-cosa)*cx*cy - sina*cz;
89 double xz = (1-cosa)*cx*cz + sina*c 90 double xz = (1-cosa)*cx*cz + sina*cy;
90 91
91 double yx = (1-cosa)*cy*cx + sina*c 92 double yx = (1-cosa)*cy*cx + sina*cz;
92 double yy = cosa + (1-cosa)*cy*cy; 93 double yy = cosa + (1-cosa)*cy*cy;
93 double yz = (1-cosa)*cy*cz - sina*c 94 double yz = (1-cosa)*cy*cz - sina*cx;
94 95
95 double zx = (1-cosa)*cz*cx - sina*c 96 double zx = (1-cosa)*cz*cx - sina*cy;
96 double zy = (1-cosa)*cz*cy + sina*c 97 double zy = (1-cosa)*cz*cy + sina*cx;
97 double zz = cosa + (1-cosa)*cz*cz; 98 double zz = cosa + (1-cosa)*cz*cz;
98 99
99 cx = x(); cy = y(); cz = z(); 100 cx = x(); cy = y(); cz = z();
100 set(xx*cx+xy*cy+xz*cz, yx*cx+yy*cy+yz*cz, 101 set(xx*cx+xy*cy+xz*cz, yx*cx+yy*cy+yz*cz, zx*cx+zy*cy+zz*cz);
101 return *this; 102 return *this;
102 } 103 }
103 104
104 //------------------------------------------ 105 //--------------------------------------------------------------------------
105 std::ostream & 106 std::ostream &
106 operator<<(std::ostream & os, const BasicVec 107 operator<<(std::ostream & os, const BasicVector3D<float> & a)
107 { 108 {
108 return os << "(" << a.x() << "," << a.y() 109 return os << "(" << a.x() << "," << a.y() << "," << a.z() << ")";
109 } 110 }
110 111
111 //------------------------------------------ 112 //--------------------------------------------------------------------------
112 std::istream & 113 std::istream &
113 operator>> (std::istream & is, BasicVector3D 114 operator>> (std::istream & is, BasicVector3D<float> & a)
114 { 115 {
115 // Required format is ( a, b, c ) that is, 116 // Required format is ( a, b, c ) that is, three numbers, preceded by
116 // (, followed by ), and separated by comm 117 // (, followed by ), and separated by commas. The three numbers are
117 // taken as x, y, z. 118 // taken as x, y, z.
118 119
119 float x, y, z; 120 float x, y, z;
120 char c; 121 char c;
121 122
122 is >> std::ws >> c; 123 is >> std::ws >> c;
123 // ws is defined to invoke eatwhite(istrea 124 // ws is defined to invoke eatwhite(istream & )
124 // see (Stroustrup gray book) page 333 and 125 // see (Stroustrup gray book) page 333 and 345.
125 if (is.fail() || c != '(' ) { 126 if (is.fail() || c != '(' ) {
126 std::cerr 127 std::cerr
127 << "Could not find required opening parenthe 128 << "Could not find required opening parenthesis "
128 << "in input of a BasicVector3D<float>" 129 << "in input of a BasicVector3D<float>"
129 << std::endl; 130 << std::endl;
130 return is; 131 return is;
131 } 132 }
132 133
133 is >> x >> std::ws >> c; 134 is >> x >> std::ws >> c;
134 if (is.fail() || c != ',' ) { 135 if (is.fail() || c != ',' ) {
135 std::cerr 136 std::cerr
136 << "Could not find x value and required trai 137 << "Could not find x value and required trailing comma "
137 << "in input of a BasicVector3D<float>" 138 << "in input of a BasicVector3D<float>"
138 << std::endl; 139 << std::endl;
139 return is; 140 return is;
140 } 141 }
141 142
142 is >> y >> std::ws >> c; 143 is >> y >> std::ws >> c;
143 if (is.fail() || c != ',' ) { 144 if (is.fail() || c != ',' ) {
144 std::cerr 145 std::cerr
145 << "Could not find y value and required trai 146 << "Could not find y value and required trailing comma "
146 << "in input of a BasicVector3D<float>" 147 << "in input of a BasicVector3D<float>"
147 << std::endl; 148 << std::endl;
148 return is; 149 return is;
149 } 150 }
150 151
151 is >> z >> std::ws >> c; 152 is >> z >> std::ws >> c;
152 if (is.fail() || c != ')' ) { 153 if (is.fail() || c != ')' ) {
153 std::cerr 154 std::cerr
154 << "Could not find z value and required clos 155 << "Could not find z value and required close parenthesis "
155 << "in input of a BasicVector3D<float>" 156 << "in input of a BasicVector3D<float>"
156 << std::endl; 157 << std::endl;
157 return is; 158 return is;
158 } 159 }
159 160
160 a.setX(x); 161 a.setX(x);
161 a.setY(y); 162 a.setY(y);
162 a.setZ(z); 163 a.setZ(z);
163 return is; 164 return is;
164 } 165 }
165 166
166 //------------------------------------------ 167 //--------------------------------------------------------------------------
167 template<> 168 template<>
168 double BasicVector3D<double>::pseudoRapidity 169 double BasicVector3D<double>::pseudoRapidity() const {
169 double ma = mag(), dz = z(); 170 double ma = mag(), dz = z();
170 if (ma == 0) return 0; 171 if (ma == 0) return 0;
171 if (ma == dz) return DBL_MAX; 172 if (ma == dz) return DBL_MAX;
172 if (ma == -dz) return -DBL_MAX; 173 if (ma == -dz) return -DBL_MAX;
173 return 0.5*std::log((ma+dz)/(ma-dz)); 174 return 0.5*std::log((ma+dz)/(ma-dz));
174 } 175 }
175 176
176 //------------------------------------------ 177 //--------------------------------------------------------------------------
177 template<> 178 template<>
178 void BasicVector3D<double>::setEta(double a) 179 void BasicVector3D<double>::setEta(double a) {
179 double ma = mag(); 180 double ma = mag();
180 if (ma == 0) return; 181 if (ma == 0) return;
181 double tanHalfTheta = std::exp(-a); 182 double tanHalfTheta = std::exp(-a);
182 double tanHalfTheta2 = tanHalfTheta * tanH 183 double tanHalfTheta2 = tanHalfTheta * tanHalfTheta;
183 double cosTheta1 = (1 - tanHalfTheta2 << 184 double cosTheta = (1 - tanHalfTheta2) / (1 + tanHalfTheta2);
184 double rh = ma * std::sqrt(1 - << 185 double rh = ma * std::sqrt(1 - cosTheta*cosTheta);
185 double ph = phi(); 186 double ph = phi();
186 set(rh*std::cos(ph), rh*std::sin(ph), ma*c << 187 set(rh*std::cos(ph), rh*std::sin(ph), ma*cosTheta);
187 } 188 }
188 189
189 //------------------------------------------ 190 //--------------------------------------------------------------------------
190 template<> 191 template<>
191 double BasicVector3D<double>::angle(const Ba 192 double BasicVector3D<double>::angle(const BasicVector3D<double> & v) const {
192 double cosa = 0; 193 double cosa = 0;
193 double ptot = mag()*v.mag(); 194 double ptot = mag()*v.mag();
194 if(ptot > 0) { 195 if(ptot > 0) {
195 cosa = dot(v)/ptot; 196 cosa = dot(v)/ptot;
196 if(cosa > 1) cosa = 1; 197 if(cosa > 1) cosa = 1;
197 if(cosa < -1) cosa = -1; 198 if(cosa < -1) cosa = -1;
198 } 199 }
199 return std::acos(cosa); 200 return std::acos(cosa);
200 } 201 }
201 202
202 //------------------------------------------ 203 //--------------------------------------------------------------------------
203 template<> 204 template<>
204 BasicVector3D<double> & BasicVector3D<double 205 BasicVector3D<double> & BasicVector3D<double>::rotateX(double a) {
205 double sina = std::sin(a), cosa = std::cos 206 double sina = std::sin(a), cosa = std::cos(a), dy = y(), dz = z();
206 setY(dy*cosa-dz*sina); 207 setY(dy*cosa-dz*sina);
207 setZ(dz*cosa+dy*sina); 208 setZ(dz*cosa+dy*sina);
208 return *this; 209 return *this;
209 } 210 }
210 211
211 //------------------------------------------ 212 //--------------------------------------------------------------------------
212 template<> 213 template<>
213 BasicVector3D<double> & BasicVector3D<double 214 BasicVector3D<double> & BasicVector3D<double>::rotateY(double a) {
214 double sina = std::sin(a), cosa = std::cos 215 double sina = std::sin(a), cosa = std::cos(a), dz = z(), dx = x();
215 setZ(dz*cosa-dx*sina); 216 setZ(dz*cosa-dx*sina);
216 setX(dx*cosa+dz*sina); 217 setX(dx*cosa+dz*sina);
217 return *this; 218 return *this;
218 } 219 }
219 220
220 //------------------------------------------ 221 //--------------------------------------------------------------------------
221 template<> 222 template<>
222 BasicVector3D<double> & BasicVector3D<double 223 BasicVector3D<double> & BasicVector3D<double>::rotateZ(double a) {
223 double sina = std::sin(a), cosa = std::cos 224 double sina = std::sin(a), cosa = std::cos(a), dx = x(), dy = y();
224 setX(dx*cosa-dy*sina); 225 setX(dx*cosa-dy*sina);
225 setY(dy*cosa+dx*sina); 226 setY(dy*cosa+dx*sina);
226 return *this; 227 return *this;
227 } 228 }
228 229
229 //------------------------------------------ 230 //--------------------------------------------------------------------------
230 template<> 231 template<>
231 BasicVector3D<double> & 232 BasicVector3D<double> &
232 BasicVector3D<double>::rotate(double a, cons 233 BasicVector3D<double>::rotate(double a, const BasicVector3D<double> & v) {
233 if (a == 0) return *this; 234 if (a == 0) return *this;
234 double cx = v.x(), cy = v.y(), cz = v.z(); 235 double cx = v.x(), cy = v.y(), cz = v.z();
235 double ll = std::sqrt(cx*cx + cy*cy + cz*c 236 double ll = std::sqrt(cx*cx + cy*cy + cz*cz);
236 if (ll == 0) { 237 if (ll == 0) {
237 std::cerr << "BasicVector<double>::rotat 238 std::cerr << "BasicVector<double>::rotate() : zero axis" << std::endl;
238 return *this; 239 return *this;
239 } 240 }
240 double cosa = std::cos(a), sina = std::sin 241 double cosa = std::cos(a), sina = std::sin(a);
241 cx /= ll; cy /= ll; cz /= ll; 242 cx /= ll; cy /= ll; cz /= ll;
242 243
243 double xx = cosa + (1-cosa)*cx*cx; 244 double xx = cosa + (1-cosa)*cx*cx;
244 double xy = (1-cosa)*cx*cy - sina*c 245 double xy = (1-cosa)*cx*cy - sina*cz;
245 double xz = (1-cosa)*cx*cz + sina*c 246 double xz = (1-cosa)*cx*cz + sina*cy;
246 247
247 double yx = (1-cosa)*cy*cx + sina*c 248 double yx = (1-cosa)*cy*cx + sina*cz;
248 double yy = cosa + (1-cosa)*cy*cy; 249 double yy = cosa + (1-cosa)*cy*cy;
249 double yz = (1-cosa)*cy*cz - sina*c 250 double yz = (1-cosa)*cy*cz - sina*cx;
250 251
251 double zx = (1-cosa)*cz*cx - sina*c 252 double zx = (1-cosa)*cz*cx - sina*cy;
252 double zy = (1-cosa)*cz*cy + sina*c 253 double zy = (1-cosa)*cz*cy + sina*cx;
253 double zz = cosa + (1-cosa)*cz*cz; 254 double zz = cosa + (1-cosa)*cz*cz;
254 255
255 cx = x(); cy = y(); cz = z(); 256 cx = x(); cy = y(); cz = z();
256 set(xx*cx+xy*cy+xz*cz, yx*cx+yy*cy+yz*cz, 257 set(xx*cx+xy*cy+xz*cz, yx*cx+yy*cy+yz*cz, zx*cx+zy*cy+zz*cz);
257 return *this; 258 return *this;
258 } 259 }
259 260
260 //------------------------------------------ 261 //--------------------------------------------------------------------------
261 std::ostream & 262 std::ostream &
262 operator<< (std::ostream & os, const BasicVe 263 operator<< (std::ostream & os, const BasicVector3D<double> & a)
263 { 264 {
264 return os << "(" << a.x() << "," << a.y() 265 return os << "(" << a.x() << "," << a.y() << "," << a.z() << ")";
265 } 266 }
266 267
267 //------------------------------------------ 268 //--------------------------------------------------------------------------
268 std::istream & 269 std::istream &
269 operator>> (std::istream & is, BasicVector3D 270 operator>> (std::istream & is, BasicVector3D<double> & a)
270 { 271 {
271 // Required format is ( a, b, c ) that is, 272 // Required format is ( a, b, c ) that is, three numbers, preceded by
272 // (, followed by ), and separated by comm 273 // (, followed by ), and separated by commas. The three numbers are
273 // taken as x, y, z. 274 // taken as x, y, z.
274 275
275 double x, y, z; 276 double x, y, z;
276 char c; 277 char c;
277 278
278 is >> std::ws >> c; 279 is >> std::ws >> c;
279 // ws is defined to invoke eatwhite(istrea 280 // ws is defined to invoke eatwhite(istream & )
280 // see (Stroustrup gray book) page 333 and 281 // see (Stroustrup gray book) page 333 and 345.
281 if (is.fail() || c != '(' ) { 282 if (is.fail() || c != '(' ) {
282 std::cerr 283 std::cerr
283 << "Could not find required opening parenthe 284 << "Could not find required opening parenthesis "
284 << "in input of a BasicVector3D<double>" 285 << "in input of a BasicVector3D<double>"
285 << std::endl; 286 << std::endl;
286 return is; 287 return is;
287 } 288 }
288 289
289 is >> x >> std::ws >> c; 290 is >> x >> std::ws >> c;
290 if (is.fail() || c != ',' ) { 291 if (is.fail() || c != ',' ) {
291 std::cerr 292 std::cerr
292 << "Could not find x value and required trai 293 << "Could not find x value and required trailing comma "
293 << "in input of a BasicVector3D<double>" 294 << "in input of a BasicVector3D<double>"
294 << std::endl; 295 << std::endl;
295 return is; 296 return is;
296 } 297 }
297 298
298 is >> y >> std::ws >> c; 299 is >> y >> std::ws >> c;
299 if (is.fail() || c != ',' ) { 300 if (is.fail() || c != ',' ) {
300 std::cerr 301 std::cerr
301 << "Could not find y value and required trai 302 << "Could not find y value and required trailing comma "
302 << "in input of a BasicVector3D<double>" 303 << "in input of a BasicVector3D<double>"
303 << std::endl; 304 << std::endl;
304 return is; 305 return is;
305 } 306 }
306 307
307 is >> z >> std::ws >> c; 308 is >> z >> std::ws >> c;
308 if (is.fail() || c != ')' ) { 309 if (is.fail() || c != ')' ) {
309 std::cerr 310 std::cerr
310 << "Could not find z value and required clos 311 << "Could not find z value and required close parenthesis "
311 << "in input of a BasicVector3D<double>" 312 << "in input of a BasicVector3D<double>"
312 << std::endl; 313 << std::endl;
313 return is; 314 return is;
314 } 315 }
315 316
316 a.setX(x); 317 a.setX(x);
317 a.setY(y); 318 a.setY(y);
318 a.setZ(z); 319 a.setZ(z);
319 return is; 320 return is;
320 } 321 }
321 } /* namespace HepGeom */ 322 } /* namespace HepGeom */
322 323