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1 // -*- C++ -*- 1 // -*- C++ -*-
2 // ------------------------------------------- 2 // ---------------------------------------------------------------------------
3 // 3 //
4 // This file is a part of the CLHEP - a Class 4 // This file is a part of the CLHEP - a Class Library for High Energy Physics.
5 // 5 //
6 // This is the implementation of the Hep3Vecto 6 // This is the implementation of the Hep3Vector class.
7 // 7 //
8 // See also ThreeVectorR.cc for implementation 8 // See also ThreeVectorR.cc for implementation of Hep3Vector methods which
9 // would couple in all the HepRotation methods 9 // would couple in all the HepRotation methods.
10 // 10 //
11 11
>> 12 #ifdef GNUPRAGMA
>> 13 #pragma implementation
>> 14 #endif
>> 15
12 #include "CLHEP/Vector/ThreeVector.h" 16 #include "CLHEP/Vector/ThreeVector.h"
13 #include "CLHEP/Units/PhysicalConstants.h" 17 #include "CLHEP/Units/PhysicalConstants.h"
14 18
15 #include <cmath> 19 #include <cmath>
16 #include <iostream> 20 #include <iostream>
17 21
18 namespace CLHEP { 22 namespace CLHEP {
19 23
20 void Hep3Vector::setMag(double ma) { 24 void Hep3Vector::setMag(double ma) {
21 double factor = mag(); 25 double factor = mag();
22 if (factor == 0) { 26 if (factor == 0) {
23 std::cerr << "Hep3Vector::setMag() - " 27 std::cerr << "Hep3Vector::setMag() - "
24 << "zero vector can't be stretch 28 << "zero vector can't be stretched" << std::endl;
25 }else{ 29 }else{
26 factor = ma/factor; 30 factor = ma/factor;
27 setX(x()*factor); 31 setX(x()*factor);
28 setY(y()*factor); 32 setY(y()*factor);
29 setZ(z()*factor); 33 setZ(z()*factor);
30 } 34 }
31 } 35 }
32 36
33 Hep3Vector & Hep3Vector::rotateUz(const Hep3Ve 37 Hep3Vector & Hep3Vector::rotateUz(const Hep3Vector& NewUzVector) {
34 // NewUzVector must be normalized ! 38 // NewUzVector must be normalized !
35 39
36 double u1 = NewUzVector.x(); 40 double u1 = NewUzVector.x();
37 double u2 = NewUzVector.y(); 41 double u2 = NewUzVector.y();
38 double u3 = NewUzVector.z(); 42 double u3 = NewUzVector.z();
39 double up = u1*u1 + u2*u2; 43 double up = u1*u1 + u2*u2;
40 44
41 if (up > 0) { << 45 if (up>0) {
42 up = std::sqrt(up); << 46 up = std::sqrt(up);
43 double px = (u1 * u3 * x() - u2 * y()) / u << 47 double px = dx, py = dy, pz = dz;
44 double py = (u2 * u3 * x() + u1 * y()) / u << 48 dx = (u1*u3*px - u2*py)/up + u1*pz;
45 double pz = -up * x() + u3 * z(); << 49 dy = (u2*u3*px + u1*py)/up + u2*pz;
46 set(px, py, pz); << 50 dz = -up*px + u3*pz;
47 } else if (u3 < 0.) { << 51 }
48 setX(-x()); << 52 else if (u3 < 0.) { dx = -dx; dz = -dz; } // phi=0 teta=pi
49 setZ(-z()); << 53 else {};
50 } // phi=0 teta=pi <<
51 <<
52 return *this; 54 return *this;
53 } 55 }
54 56
55 double Hep3Vector::pseudoRapidity() const { 57 double Hep3Vector::pseudoRapidity() const {
56 double m1 = mag(); 58 double m1 = mag();
57 if ( m1== 0 ) return 0.0; 59 if ( m1== 0 ) return 0.0;
58 if ( m1== z() ) return 1.0E72; 60 if ( m1== z() ) return 1.0E72;
59 if ( m1== -z() ) return -1.0E72; 61 if ( m1== -z() ) return -1.0E72;
60 return 0.5*std::log( (m1+z())/(m1-z()) ); 62 return 0.5*std::log( (m1+z())/(m1-z()) );
61 } 63 }
62 64
63 std::ostream & operator<< (std::ostream & os, 65 std::ostream & operator<< (std::ostream & os, const Hep3Vector & v) {
64 return os << "(" << v.x() << "," << v.y() << 66 return os << "(" << v.x() << "," << v.y() << "," << v.z() << ")";
65 } 67 }
66 68
67 void ZMinput3doubles ( std::istream & is, cons 69 void ZMinput3doubles ( std::istream & is, const char * type,
68 double & x, double & y, 70 double & x, double & y, double & z );
69 71
70 std::istream & operator>>(std::istream & is, H 72 std::istream & operator>>(std::istream & is, Hep3Vector & v) {
71 double x, y, z; 73 double x, y, z;
72 ZMinput3doubles ( is, "Hep3Vector", x, y, z 74 ZMinput3doubles ( is, "Hep3Vector", x, y, z );
73 v.set(x, y, z); 75 v.set(x, y, z);
74 return is; 76 return is;
75 } // operator>>() 77 } // operator>>()
76 78
77 const Hep3Vector HepXHat(1.0, 0.0, 0.0); 79 const Hep3Vector HepXHat(1.0, 0.0, 0.0);
78 const Hep3Vector HepYHat(0.0, 1.0, 0.0); 80 const Hep3Vector HepYHat(0.0, 1.0, 0.0);
79 const Hep3Vector HepZHat(0.0, 0.0, 1.0); 81 const Hep3Vector HepZHat(0.0, 0.0, 1.0);
80 82
81 //------------------- 83 //-------------------
82 // 84 //
83 // New methods introduced when ZOOM PhysicsVec 85 // New methods introduced when ZOOM PhysicsVectors was merged in:
84 // 86 //
85 //------------------- 87 //-------------------
86 88
87 Hep3Vector & Hep3Vector::rotateX (double phi1) 89 Hep3Vector & Hep3Vector::rotateX (double phi1) {
88 double sinphi = std::sin(phi1); 90 double sinphi = std::sin(phi1);
89 double cosphi = std::cos(phi1); 91 double cosphi = std::cos(phi1);
90 double ty = y() * cosphi - z() * sinphi; << 92 double ty;
91 double tz = z() * cosphi + y() * sinphi; << 93 ty = dy * cosphi - dz * sinphi;
92 setY(ty); << 94 dz = dz * cosphi + dy * sinphi;
93 setZ(tz); << 95 dy = ty;
94 return *this; 96 return *this;
95 } /* rotateX */ 97 } /* rotateX */
96 98
97 Hep3Vector & Hep3Vector::rotateY (double phi1) 99 Hep3Vector & Hep3Vector::rotateY (double phi1) {
98 double sinphi = std::sin(phi1); 100 double sinphi = std::sin(phi1);
99 double cosphi = std::cos(phi1); 101 double cosphi = std::cos(phi1);
100 double tx = x() * cosphi + z() * sinphi; << 102 double tz;
101 double tz = z() * cosphi - x() * sinphi; << 103 tz = dz * cosphi - dx * sinphi;
102 setX(tx); << 104 dx = dx * cosphi + dz * sinphi;
103 setZ(tz); << 105 dz = tz;
104 return *this; 106 return *this;
105 } /* rotateY */ 107 } /* rotateY */
106 108
107 Hep3Vector & Hep3Vector::rotateZ (double phi1) 109 Hep3Vector & Hep3Vector::rotateZ (double phi1) {
108 double sinphi = std::sin(phi1); 110 double sinphi = std::sin(phi1);
109 double cosphi = std::cos(phi1); 111 double cosphi = std::cos(phi1);
110 double tx = x() * cosphi - y() * sinphi; << 112 double tx;
111 double ty = y() * cosphi + x() * sinphi; << 113 tx = dx * cosphi - dy * sinphi;
112 setX(tx); << 114 dy = dy * cosphi + dx * sinphi;
113 setY(ty); << 115 dx = tx;
114 return *this; 116 return *this;
115 } /* rotateZ */ 117 } /* rotateZ */
116 118
117 bool Hep3Vector::isNear(const Hep3Vector & v, 119 bool Hep3Vector::isNear(const Hep3Vector & v, double epsilon) const {
118 double limit = dot(v)*epsilon*epsilon; 120 double limit = dot(v)*epsilon*epsilon;
119 return ( (*this - v).mag2() <= limit ); 121 return ( (*this - v).mag2() <= limit );
120 } /* isNear() */ 122 } /* isNear() */
121 123
122 double Hep3Vector::howNear(const Hep3Vector & 124 double Hep3Vector::howNear(const Hep3Vector & v ) const {
123 // | V1 - V2 | **2 / V1 dot V2, up to 1 125 // | V1 - V2 | **2 / V1 dot V2, up to 1
124 double d = (*this - v).mag2(); 126 double d = (*this - v).mag2();
125 double vdv = dot(v); 127 double vdv = dot(v);
126 if ( (vdv > 0) && (d < vdv) ) { 128 if ( (vdv > 0) && (d < vdv) ) {
127 return std::sqrt (d/vdv); 129 return std::sqrt (d/vdv);
128 } else if ( (vdv == 0) && (d == 0) ) { 130 } else if ( (vdv == 0) && (d == 0) ) {
129 return 0; 131 return 0;
130 } else { 132 } else {
131 return 1; 133 return 1;
132 } 134 }
133 } /* howNear */ 135 } /* howNear */
134 136
135 double Hep3Vector::deltaPhi (const Hep3Vector 137 double Hep3Vector::deltaPhi (const Hep3Vector & v2) const {
136 double dphi = v2.getPhi() - getPhi(); 138 double dphi = v2.getPhi() - getPhi();
137 if ( dphi > CLHEP::pi ) { 139 if ( dphi > CLHEP::pi ) {
138 dphi -= CLHEP::twopi; 140 dphi -= CLHEP::twopi;
139 } else if ( dphi <= -CLHEP::pi ) { 141 } else if ( dphi <= -CLHEP::pi ) {
140 dphi += CLHEP::twopi; 142 dphi += CLHEP::twopi;
141 } 143 }
142 return dphi; 144 return dphi;
143 } /* deltaPhi */ 145 } /* deltaPhi */
144 146
145 double Hep3Vector::deltaR ( const Hep3Vector & 147 double Hep3Vector::deltaR ( const Hep3Vector & v ) const {
146 double a = eta() - v.eta(); 148 double a = eta() - v.eta();
147 double b = deltaPhi(v); 149 double b = deltaPhi(v);
148 return std::sqrt ( a*a + b*b ); 150 return std::sqrt ( a*a + b*b );
149 } /* deltaR */ 151 } /* deltaR */
150 152
151 double Hep3Vector::cosTheta(const Hep3Vector & 153 double Hep3Vector::cosTheta(const Hep3Vector & q) const {
152 double arg; 154 double arg;
153 double ptot2 = mag2()*q.mag2(); 155 double ptot2 = mag2()*q.mag2();
154 if(ptot2 <= 0) { 156 if(ptot2 <= 0) {
155 arg = 0.0; 157 arg = 0.0;
156 }else{ 158 }else{
157 arg = dot(q)/std::sqrt(ptot2); 159 arg = dot(q)/std::sqrt(ptot2);
158 if(arg > 1.0) arg = 1.0; 160 if(arg > 1.0) arg = 1.0;
159 if(arg < -1.0) arg = -1.0; 161 if(arg < -1.0) arg = -1.0;
160 } 162 }
161 return arg; 163 return arg;
162 } 164 }
163 165
164 double Hep3Vector::cos2Theta(const Hep3Vector 166 double Hep3Vector::cos2Theta(const Hep3Vector & q) const {
165 double arg; 167 double arg;
166 double ptot2 = mag2(); 168 double ptot2 = mag2();
167 double qtot2 = q.mag2(); 169 double qtot2 = q.mag2();
168 if ( ptot2 == 0 || qtot2 == 0 ) { 170 if ( ptot2 == 0 || qtot2 == 0 ) {
169 arg = 1.0; 171 arg = 1.0;
170 }else{ 172 }else{
171 double pdq = dot(q); 173 double pdq = dot(q);
172 arg = (pdq/ptot2) * (pdq/qtot2); 174 arg = (pdq/ptot2) * (pdq/qtot2);
173 // More naive methods overflow on vect 175 // More naive methods overflow on vectors which can be squared
174 // but can't be raised to the 4th powe 176 // but can't be raised to the 4th power.
175 if(arg > 1.0) arg = 1.0; 177 if(arg > 1.0) arg = 1.0;
176 } 178 }
177 return arg; 179 return arg;
178 } 180 }
179 181
180 void Hep3Vector::setEta (double eta1) { 182 void Hep3Vector::setEta (double eta1) {
181 double phi1 = 0; 183 double phi1 = 0;
182 double r1; 184 double r1;
183 if ( (x() == 0) && (y() == 0) ) { << 185 if ( (dx == 0) && (dy == 0) ) {
184 if (z() == 0) { << 186 if (dz == 0) {
185 std::cerr << "Hep3Vector::setEta() - " 187 std::cerr << "Hep3Vector::setEta() - "
186 << "Attempt to set eta of zero 188 << "Attempt to set eta of zero vector -- vector is unchanged"
187 << std::endl; 189 << std::endl;
188 return; 190 return;
189 } 191 }
190 std::cerr << "Hep3Vector::setEta() - " 192 std::cerr << "Hep3Vector::setEta() - "
191 << "Attempt to set eta of vector a 193 << "Attempt to set eta of vector along Z axis -- will use phi = 0"
192 << std::endl; 194 << std::endl;
193 r1 = std::fabs(z()); << 195 r1 = std::fabs(dz);
194 } else { 196 } else {
195 r1 = getR(); 197 r1 = getR();
196 phi1 = getPhi(); 198 phi1 = getPhi();
197 } 199 }
198 double tanHalfTheta = std::exp ( -eta1 ); 200 double tanHalfTheta = std::exp ( -eta1 );
199 double cosTheta1 = 201 double cosTheta1 =
200 (1 - tanHalfTheta*tanHalfTheta) / (1 + 202 (1 - tanHalfTheta*tanHalfTheta) / (1 + tanHalfTheta*tanHalfTheta);
>> 203 dz = r1 * cosTheta1;
201 double rho1 = r1*std::sqrt(1 - cosTheta1*cos 204 double rho1 = r1*std::sqrt(1 - cosTheta1*cosTheta1);
202 setZ(r1 * cosTheta1); << 205 dy = rho1 * std::sin (phi1);
203 setY(rho1 * std::sin (phi1)); << 206 dx = rho1 * std::cos (phi1);
204 setX(rho1 * std::cos (phi1)); <<
205 return; 207 return;
206 } 208 }
207 209
208 void Hep3Vector::setCylTheta (double theta1) { 210 void Hep3Vector::setCylTheta (double theta1) {
209 211
210 // In cylindrical coords, set theta while ke 212 // In cylindrical coords, set theta while keeping rho and phi fixed
211 213
212 if ( (x() == 0) && (y() == 0) ) { << 214 if ( (dx == 0) && (dy == 0) ) {
213 if (z() == 0) { << 215 if (dz == 0) {
214 std::cerr << "Hep3Vector::setCylTheta() 216 std::cerr << "Hep3Vector::setCylTheta() - "
215 << "Attempt to set cylTheta of 217 << "Attempt to set cylTheta of zero vector -- vector is unchanged"
216 << std::endl; 218 << std::endl;
217 return; 219 return;
218 } 220 }
219 if (theta1 == 0) { 221 if (theta1 == 0) {
220 setZ(std::fabs(z())); << 222 dz = std::fabs(dz);
221 return; 223 return;
222 } 224 }
223 if (theta1 == CLHEP::pi) { 225 if (theta1 == CLHEP::pi) {
224 setZ(-std::fabs(z())); << 226 dz = -std::fabs(dz);
225 return; 227 return;
226 } 228 }
227 std::cerr << "Hep3Vector::setCylTheta() - 229 std::cerr << "Hep3Vector::setCylTheta() - "
228 << "Attempt set cylindrical theta of vec 230 << "Attempt set cylindrical theta of vector along Z axis "
229 << "to a non-trivial value, while keepin 231 << "to a non-trivial value, while keeping rho fixed -- "
230 << "will return zero vector" << std::end 232 << "will return zero vector" << std::endl;
231 setZ(0.0); << 233 dz = 0;
232 return; 234 return;
233 } 235 }
234 if ( (theta1 < 0) || (theta1 > CLHEP::pi) ) 236 if ( (theta1 < 0) || (theta1 > CLHEP::pi) ) {
235 std::cerr << "Hep3Vector::setCylTheta() - 237 std::cerr << "Hep3Vector::setCylTheta() - "
236 << "Setting Cyl theta of a vector based 238 << "Setting Cyl theta of a vector based on a value not in [0, PI]"
237 << std::endl; 239 << std::endl;
238 // No special return needed if warning 240 // No special return needed if warning is ignored.
239 } 241 }
240 double phi1 (getPhi()); 242 double phi1 (getPhi());
241 double rho1 = getRho(); 243 double rho1 = getRho();
242 if ( (theta1 == 0) || (theta1 == CLHEP::pi) 244 if ( (theta1 == 0) || (theta1 == CLHEP::pi) ) {
243 std::cerr << "Hep3Vector::setCylTheta() - 245 std::cerr << "Hep3Vector::setCylTheta() - "
244 << "Attempt to set cylindrical theta to 246 << "Attempt to set cylindrical theta to 0 or PI "
245 << "while keeping rho fixed -- infinite 247 << "while keeping rho fixed -- infinite Z will be computed"
246 << std::endl; 248 << std::endl;
247 setZ((theta1==0) ? 1.0E72 : -1.0E72); << 249 dz = (theta1==0) ? 1.0E72 : -1.0E72;
248 return; 250 return;
249 } 251 }
250 setZ(rho1 / std::tan (theta1)); << 252 dz = rho1 / std::tan (theta1);
251 setY(rho1 * std::sin (phi1)); << 253 dy = rho1 * std::sin (phi1);
252 setX(rho1 * std::cos (phi1)); << 254 dx = rho1 * std::cos (phi1);
253 255
254 } /* setCylTheta */ 256 } /* setCylTheta */
255 257
256 void Hep3Vector::setCylEta (double eta1) { 258 void Hep3Vector::setCylEta (double eta1) {
257 259
258 // In cylindrical coords, set eta while keep 260 // In cylindrical coords, set eta while keeping rho and phi fixed
259 261
260 double theta1 = 2 * std::atan ( std::exp (-e 262 double theta1 = 2 * std::atan ( std::exp (-eta1) );
261 263
262 //-| The remaining code is similar to 264 //-| The remaining code is similar to setCylTheta, The reason for
263 //-| using a copy is so as to be able 265 //-| using a copy is so as to be able to change the messages in the
264 //-| ZMthrows to say eta rather than t 266 //-| ZMthrows to say eta rather than theta. Besides, we assumedly
265 //-| need not check for theta of 0 or 267 //-| need not check for theta of 0 or PI.
266 268
267 if ( (x() == 0) && (y() == 0) ) { << 269 if ( (dx == 0) && (dy == 0) ) {
268 if (z() == 0) { << 270 if (dz == 0) {
269 std::cerr << "Hep3Vector::setCylEta() - 271 std::cerr << "Hep3Vector::setCylEta() - "
270 << "Attempt to set cylEta of zero vect 272 << "Attempt to set cylEta of zero vector -- vector is unchanged"
271 << std::endl; 273 << std::endl;
272 return; 274 return;
273 } 275 }
274 if (theta1 == 0) { 276 if (theta1 == 0) {
275 setZ(std::fabs(z())); << 277 dz = std::fabs(dz);
276 return; 278 return;
277 } 279 }
278 if (theta1 == CLHEP::pi) { 280 if (theta1 == CLHEP::pi) {
279 setZ(-std::fabs(z())); << 281 dz = -std::fabs(dz);
280 return; 282 return;
281 } 283 }
282 std::cerr << "Hep3Vector::setCylEta() - " 284 std::cerr << "Hep3Vector::setCylEta() - "
283 << "Attempt set cylindrical eta of vecto 285 << "Attempt set cylindrical eta of vector along Z axis "
284 << "to a non-trivial value, while keepin 286 << "to a non-trivial value, while keeping rho fixed -- "
285 << "will return zero vector" << std::end 287 << "will return zero vector" << std::endl;
286 setZ(0.0); << 288 dz = 0;
287 return; 289 return;
288 } 290 }
289 double phi1 (getPhi()); 291 double phi1 (getPhi());
290 double rho1 = getRho(); 292 double rho1 = getRho();
291 setZ(rho1 / std::tan (theta1)); << 293 dz = rho1 / std::tan (theta1);
292 setY(rho1 * std::sin (phi1)); << 294 dy = rho1 * std::sin (phi1);
293 setX(rho1 * std::cos (phi1)); << 295 dx = rho1 * std::cos (phi1);
294 296
295 } /* setCylEta */ 297 } /* setCylEta */
296 298
297 299
298 Hep3Vector operator/ ( const Hep3Vector & v1, << 300 Hep3Vector operator/ ( const Hep3Vector & v1, double c ) {
299 // if (c == 0) { 301 // if (c == 0) {
300 // std::cerr << "Hep3Vector::operator/ () - 302 // std::cerr << "Hep3Vector::operator/ () - "
301 // << "Attempt to divide vector by 0 -- " 303 // << "Attempt to divide vector by 0 -- "
302 // << "will produce infinities and/or NAN 304 // << "will produce infinities and/or NANs" << std::endl;
303 // } 305 // }
304 return v1 * (1.0/c); << 306 double oneOverC = 1.0/c;
>> 307 return Hep3Vector ( v1.x() * oneOverC,
>> 308 v1.y() * oneOverC,
>> 309 v1.z() * oneOverC );
305 } /* v / c */ 310 } /* v / c */
306 311
307 Hep3Vector & Hep3Vector::operator/= (double c) 312 Hep3Vector & Hep3Vector::operator/= (double c) {
308 // if (c == 0) { 313 // if (c == 0) {
309 // std::cerr << "Hep3Vector::operator/ () - 314 // std::cerr << "Hep3Vector::operator/ () - "
310 // << "Attempt to do vector /= 0 -- " 315 // << "Attempt to do vector /= 0 -- "
311 // << "division by zero would produce inf 316 // << "division by zero would produce infinite or NAN components"
312 // << std::endl; 317 // << std::endl;
313 // } 318 // }
314 *this *= 1.0/c; << 319 double oneOverC = 1.0/c;
>> 320 dx *= oneOverC;
>> 321 dy *= oneOverC;
>> 322 dz *= oneOverC;
315 return *this; 323 return *this;
316 } 324 }
317 325
318 double Hep3Vector::tolerance = Hep3Vector::Tol 326 double Hep3Vector::tolerance = Hep3Vector::ToleranceTicks * 2.22045e-16;
319 327
320 } // namespace CLHEP 328 } // namespace CLHEP
321 329