Geant4 9.6.0
Toolkit for the simulation of the passage of particles through matter
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LorentzRotation.cc
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1// -*- C++ -*-
2// $Id:$
3// ---------------------------------------------------------------------------
4//
5// This file is a part of the CLHEP - a Class Library for High Energy Physics.
6//
7// This is the implementation basic parts of the HepLorentzRotation class.
8//
9// Some ZOOM methods involving construction from columns and decomposition
10// into boost*rotation are split off into LorentzRotationC and LorentzRotationD
11
12#ifdef GNUPRAGMA
13#pragma implementation
14#endif
15
16#include "CLHEP/Vector/LorentzRotation.h"
17
18#include <iostream>
19#include <iomanip>
20
21namespace CLHEP {
22
23// ---------- Constructors and Assignment:
24
25
26HepLorentzRotation & HepLorentzRotation::set
27 (double bx, double by, double bz) {
28 double bp2 = bx*bx + by*by + bz*bz;
29// if (bp2 >= 1) {
30// std::cerr << "HepLorentzRotation::set() - "
31// << "Boost Vector supplied to set HepLorentzRotation represents speed >= c."
32// << std::endl;
33// }
34 double gamma = 1.0 / std::sqrt(1.0 - bp2);
35 double bgamma = gamma * gamma / (1.0 + gamma);
36 mxx = 1.0 + bgamma * bx * bx;
37 myy = 1.0 + bgamma * by * by;
38 mzz = 1.0 + bgamma * bz * bz;
39 mxy = myx = bgamma * bx * by;
40 mxz = mzx = bgamma * bx * bz;
41 myz = mzy = bgamma * by * bz;
42 mxt = mtx = gamma * bx;
43 myt = mty = gamma * by;
44 mzt = mtz = gamma * bz;
45 mtt = gamma;
46 return *this;
47}
48
49HepLorentzRotation & HepLorentzRotation::set
50 (const HepBoost & B, const HepRotation & R) {
51 set (B.rep4x4());
52 *this = matrixMultiplication ( R.rep4x4() );
53 return *this;
54}
55
56HepLorentzRotation & HepLorentzRotation::set
57 (const HepRotation & R, const HepBoost & B) {
58 set (R.rep4x4());
59 *this = matrixMultiplication ( B.rep4x4() );
60 return *this;
61}
62
63// ---------- Accessors:
64
65// ------------ Subscripting:
66
67double HepLorentzRotation::operator () (int i, int j) const {
68 if (i == 0) {
69 if (j == 0) { return xx(); }
70 if (j == 1) { return xy(); }
71 if (j == 2) { return xz(); }
72 if (j == 3) { return xt(); }
73 } else if (i == 1) {
74 if (j == 0) { return yx(); }
75 if (j == 1) { return yy(); }
76 if (j == 2) { return yz(); }
77 if (j == 3) { return yt(); }
78 } else if (i == 2) {
79 if (j == 0) { return zx(); }
80 if (j == 1) { return zy(); }
81 if (j == 2) { return zz(); }
82 if (j == 3) { return zt(); }
83 } else if (i == 3) {
84 if (j == 0) { return tx(); }
85 if (j == 1) { return ty(); }
86 if (j == 2) { return tz(); }
87 if (j == 3) { return tt(); }
88 }
89 std::cerr << "HepLorentzRotation subscripting: bad indeces "
90 << "(" << i << "," << j << ")\n";
91 return 0.0;
92}
93
94// ---------- Application:
95
96
97// ---------- Comparison:
98
99int HepLorentzRotation::compare( const HepLorentzRotation & m1 ) const {
100 if (mtt<m1.mtt) return -1; else if (mtt>m1.mtt) return 1;
101 else if (mtz<m1.mtz) return -1; else if (mtz>m1.mtz) return 1;
102 else if (mty<m1.mty) return -1; else if (mty>m1.mty) return 1;
103 else if (mtx<m1.mtx) return -1; else if (mtx>m1.mtx) return 1;
104
105 else if (mzt<m1.mzt) return -1; else if (mzt>m1.mzt) return 1;
106 else if (mzz<m1.mzz) return -1; else if (mzz>m1.mzz) return 1;
107 else if (mzy<m1.mzy) return -1; else if (mzy>m1.mzy) return 1;
108 else if (mzx<m1.mzx) return -1; else if (mzx>m1.mzx) return 1;
109
110 else if (myt<m1.myt) return -1; else if (myt>m1.myt) return 1;
111 else if (myz<m1.myz) return -1; else if (myz>m1.myz) return 1;
112 else if (myy<m1.myy) return -1; else if (myy>m1.myy) return 1;
113 else if (myx<m1.myx) return -1; else if (myx>m1.myx) return 1;
114
115 else if (mxt<m1.mxt) return -1; else if (mxt>m1.mxt) return 1;
116 else if (mxz<m1.mxz) return -1; else if (mxz>m1.mxz) return 1;
117 else if (mxy<m1.mxy) return -1; else if (mxy>m1.mxy) return 1;
118 else if (mxx<m1.mxx) return -1; else if (mxx>m1.mxx) return 1;
119
120 else return 0;
121}
122
123
124// ---------- Operations in the group of 4-Rotations
125
126HepLorentzRotation
127HepLorentzRotation::matrixMultiplication(const HepRep4x4 & m1) const {
128 return HepLorentzRotation(
129 mxx*m1.xx_ + mxy*m1.yx_ + mxz*m1.zx_ + mxt*m1.tx_,
130 mxx*m1.xy_ + mxy*m1.yy_ + mxz*m1.zy_ + mxt*m1.ty_,
131 mxx*m1.xz_ + mxy*m1.yz_ + mxz*m1.zz_ + mxt*m1.tz_,
132 mxx*m1.xt_ + mxy*m1.yt_ + mxz*m1.zt_ + mxt*m1.tt_,
133
134 myx*m1.xx_ + myy*m1.yx_ + myz*m1.zx_ + myt*m1.tx_,
135 myx*m1.xy_ + myy*m1.yy_ + myz*m1.zy_ + myt*m1.ty_,
136 myx*m1.xz_ + myy*m1.yz_ + myz*m1.zz_ + myt*m1.tz_,
137 myx*m1.xt_ + myy*m1.yt_ + myz*m1.zt_ + myt*m1.tt_,
138
139 mzx*m1.xx_ + mzy*m1.yx_ + mzz*m1.zx_ + mzt*m1.tx_,
140 mzx*m1.xy_ + mzy*m1.yy_ + mzz*m1.zy_ + mzt*m1.ty_,
141 mzx*m1.xz_ + mzy*m1.yz_ + mzz*m1.zz_ + mzt*m1.tz_,
142 mzx*m1.xt_ + mzy*m1.yt_ + mzz*m1.zt_ + mzt*m1.tt_,
143
144 mtx*m1.xx_ + mty*m1.yx_ + mtz*m1.zx_ + mtt*m1.tx_,
145 mtx*m1.xy_ + mty*m1.yy_ + mtz*m1.zy_ + mtt*m1.ty_,
146 mtx*m1.xz_ + mty*m1.yz_ + mtz*m1.zz_ + mtt*m1.tz_,
147 mtx*m1.xt_ + mty*m1.yt_ + mtz*m1.zt_ + mtt*m1.tt_ );
148}
149
150HepLorentzRotation & HepLorentzRotation::rotateX(double delta) {
151 double c1 = std::cos (delta);
152 double s1 = std::sin (delta);
153 HepLorentzVector rowy = row2();
154 HepLorentzVector rowz = row3();
155 HepLorentzVector r2 = c1 * rowy - s1 * rowz;
156 HepLorentzVector r3 = s1 * rowy + c1 * rowz;
157 myx = r2.x(); myy = r2.y(); myz = r2.z(); myt = r2.t();
158 mzx = r3.x(); mzy = r3.y(); mzz = r3.z(); mzt = r3.t();
159 return *this;
160}
161
162HepLorentzRotation & HepLorentzRotation::rotateY(double delta) {
163 double c1 = std::cos (delta);
164 double s1 = std::sin (delta);
165 HepLorentzVector rowx = row1();
166 HepLorentzVector rowz = row3();
167 HepLorentzVector r1 = c1 * rowx + s1 * rowz;
168 HepLorentzVector r3 = -s1 * rowx + c1 * rowz;
169 mxx = r1.x(); mxy = r1.y(); mxz = r1.z(); mxt = r1.t();
170 mzx = r3.x(); mzy = r3.y(); mzz = r3.z(); mzt = r3.t();
171 return *this;
172}
173
174HepLorentzRotation & HepLorentzRotation::rotateZ(double delta) {
175 double c1 = std::cos (delta);
176 double s1 = std::sin (delta);
177 HepLorentzVector rowx = row1();
178 HepLorentzVector rowy = row2();
179 HepLorentzVector r1 = c1 * rowx - s1 * rowy;
180 HepLorentzVector r2 = s1 * rowx + c1 * rowy;
181 mxx = r1.x(); mxy = r1.y(); mxz = r1.z(); mxt = r1.t();
182 myx = r2.x(); myy = r2.y(); myz = r2.z(); myt = r2.t();
183 return *this;
184}
185
186HepLorentzRotation & HepLorentzRotation::boostX(double beta) {
187 double b2 = beta*beta;
188// if (b2 >= 1) {
189// std::cerr << "HepLorentzRotation::boostX() - "
190// << "Beta supplied to HepLorentzRotation::boostX represents speed >= c."
191// << std::endl;
192// }
193 double g1 = 1.0/std::sqrt(1.0-b2);
194 double bg = beta*g1;
195 HepLorentzVector rowx = row1();
196 HepLorentzVector rowt = row4();
197 HepLorentzVector r1 = g1 * rowx + bg * rowt;
198 HepLorentzVector r4 = bg * rowx + g1 * rowt;
199 mxx = r1.x(); mxy = r1.y(); mxz = r1.z(); mxt = r1.t();
200 mtx = r4.x(); mty = r4.y(); mtz = r4.z(); mtt = r4.t();
201 return *this;
202}
203
204HepLorentzRotation & HepLorentzRotation::boostY(double beta) {
205 double b2 = beta*beta;
206// if (b2 >= 1) {
207// std::cerr << "HepLorentzRotation::boostY() - "
208// << "Beta supplied to HepLorentzRotation::boostY represents speed >= c."
209// << std::endl;
210// }
211 double g1 = 1.0/std::sqrt(1.0-b2);
212 double bg = beta*g1;
213 HepLorentzVector rowy = row2();
214 HepLorentzVector rowt = row4();
215 HepLorentzVector r2 = g1 * rowy + bg * rowt;
216 HepLorentzVector r4 = bg * rowy + g1 * rowt;
217 myx = r2.x(); myy = r2.y(); myz = r2.z(); myt = r2.t();
218 mtx = r4.x(); mty = r4.y(); mtz = r4.z(); mtt = r4.t();
219 return *this;
220}
221
222HepLorentzRotation & HepLorentzRotation::boostZ(double beta) {
223 double b2 = beta*beta;
224// if (b2 >= 1) {
225// std::cerr << "HepLorentzRotation::boostZ() - "
226// << "Beta supplied to HepLorentzRotation::boostZ represents speed >= c."
227// << std::endl;
228// }
229 double g1 = 1.0/std::sqrt(1.0-b2);
230 double bg = beta*g1;
231 HepLorentzVector rowz = row3();
232 HepLorentzVector rowt = row4();
233 HepLorentzVector r3 = g1 * rowz + bg * rowt;
234 HepLorentzVector r4 = bg * rowz + g1 * rowt;
235 mtx = r4.x(); mty = r4.y(); mtz = r4.z(); mtt = r4.t();
236 mzx = r3.x(); mzy = r3.y(); mzz = r3.z(); mzt = r3.t();
237 return *this;
238}
239
240std::ostream & HepLorentzRotation::print( std::ostream & os ) const {
241 os << "\n [ ( " <<
242 std::setw(11) << std::setprecision(6) << xx() << " " <<
243 std::setw(11) << std::setprecision(6) << xy() << " " <<
244 std::setw(11) << std::setprecision(6) << xz() << " " <<
245 std::setw(11) << std::setprecision(6) << xt() << ")\n"
246 << " ( " <<
247 std::setw(11) << std::setprecision(6) << yx() << " " <<
248 std::setw(11) << std::setprecision(6) << yy() << " " <<
249 std::setw(11) << std::setprecision(6) << yz() << " " <<
250 std::setw(11) << std::setprecision(6) << yt() << ")\n"
251 << " ( " <<
252 std::setw(11) << std::setprecision(6) << zx() << " " <<
253 std::setw(11) << std::setprecision(6) << zy() << " " <<
254 std::setw(11) << std::setprecision(6) << zz() << " " <<
255 std::setw(11) << std::setprecision(6) << zt() << ")\n"
256 << " ( " <<
257 std::setw(11) << std::setprecision(6) << tx() << " " <<
258 std::setw(11) << std::setprecision(6) << ty() << " " <<
259 std::setw(11) << std::setprecision(6) << tz() << " " <<
260 std::setw(11) << std::setprecision(6) << tt() << ") ]\n";
261 return os;
262}
263
264HepLorentzRotation operator* ( const HepRotation & r,
265 const HepLorentzRotation & lt) {
266 r.rep4x4();
267 lt.rep4x4();
268 return HepLorentzRotation( HepRep4x4(
269 r.xx()*lt.xx() + r.xy()*lt.yx() + r.xz()*lt.zx() + r.xt()*lt.tx(),
270 r.xx()*lt.xy() + r.xy()*lt.yy() + r.xz()*lt.zy() + r.xt()*lt.ty(),
271 r.xx()*lt.xz() + r.xy()*lt.yz() + r.xz()*lt.zz() + r.xt()*lt.tz(),
272 r.xx()*lt.xt() + r.xy()*lt.yt() + r.xz()*lt.zt() + r.xt()*lt.tt(),
273
274 r.yx()*lt.xx() + r.yy()*lt.yx() + r.yz()*lt.zx() + r.yt()*lt.tx(),
275 r.yx()*lt.xy() + r.yy()*lt.yy() + r.yz()*lt.zy() + r.yt()*lt.ty(),
276 r.yx()*lt.xz() + r.yy()*lt.yz() + r.yz()*lt.zz() + r.yt()*lt.tz(),
277 r.yx()*lt.xt() + r.yy()*lt.yt() + r.yz()*lt.zt() + r.yt()*lt.tt(),
278
279 r.zx()*lt.xx() + r.zy()*lt.yx() + r.zz()*lt.zx() + r.zt()*lt.tx(),
280 r.zx()*lt.xy() + r.zy()*lt.yy() + r.zz()*lt.zy() + r.zt()*lt.ty(),
281 r.zx()*lt.xz() + r.zy()*lt.yz() + r.zz()*lt.zz() + r.zt()*lt.tz(),
282 r.zx()*lt.xt() + r.zy()*lt.yt() + r.zz()*lt.zt() + r.zt()*lt.tt(),
283
284 r.tx()*lt.xx() + r.ty()*lt.yx() + r.tz()*lt.zx() + r.tt()*lt.tx(),
285 r.tx()*lt.xy() + r.ty()*lt.yy() + r.tz()*lt.zy() + r.tt()*lt.ty(),
286 r.tx()*lt.xz() + r.ty()*lt.yz() + r.tz()*lt.zz() + r.tt()*lt.tz(),
287 r.tx()*lt.xt() + r.ty()*lt.yt() + r.tz()*lt.zt() + r.tt()*lt.tt() ) );
288}
289
290
291const HepLorentzRotation HepLorentzRotation::IDENTITY;
292
293} // namespace CLHEP
CLHEP::HepBoost::rep4x4
HepRep4x4 rep4x4() const
CLHEP::HepLorentzRotation::operator()
double operator()(int, int) const
Definition: LorentzRotation.cc:67
CLHEP::HepLorentzRotation::IDENTITY
static DLL_API const HepLorentzRotation IDENTITY
Definition: LorentzRotation.h:58
CLHEP::HepLorentzRotation::compare
int compare(const HepLorentzRotation &m) const
Definition: LorentzRotation.cc:99
CLHEP::HepLorentzRotation::rep4x4
HepRep4x4 rep4x4() const
CLHEP::HepLorentzRotation::boostZ
HepLorentzRotation & boostZ(double beta)
Definition: LorentzRotation.cc:222
CLHEP::HepLorentzRotation::row3
HepLorentzVector row3() const
CLHEP::HepLorentzRotation::rotateY
HepLorentzRotation & rotateY(double delta)
Definition: LorentzRotation.cc:162
CLHEP::HepLorentzRotation::matrixMultiplication
HepLorentzRotation matrixMultiplication(const HepRep4x4 &m) const
Definition: LorentzRotation.cc:127
CLHEP::HepLorentzRotation::row1
HepLorentzVector row1() const
CLHEP::HepLorentzRotation::boostY
HepLorentzRotation & boostY(double beta)
Definition: LorentzRotation.cc:204
CLHEP::HepLorentzRotation::boostX
HepLorentzRotation & boostX(double beta)
Definition: LorentzRotation.cc:186
CLHEP::HepLorentzRotation::rotateZ
HepLorentzRotation & rotateZ(double delta)
Definition: LorentzRotation.cc:174
CLHEP::HepLorentzRotation::row2
HepLorentzVector row2() const
CLHEP::HepLorentzRotation::print
std::ostream & print(std::ostream &os) const
Definition: LorentzRotation.cc:240
CLHEP::HepLorentzRotation::row4
HepLorentzVector row4() const
CLHEP::HepLorentzRotation::rotateX
HepLorentzRotation & rotateX(double delta)
Definition: LorentzRotation.cc:150
CLHEP::HepLorentzRotation::set
HepLorentzRotation & set(double bx, double by, double bz)
Definition: LorentzRotation.cc:27
CLHEP::HepRotation::zz
double zz() const
CLHEP::HepRotation::yz
double yz() const
CLHEP::HepRotation::zx
double zx() const
CLHEP::HepRotation::tz
double tz() const
CLHEP::HepRotation::ty
double ty() const
CLHEP::HepRotation::tx
double tx() const
CLHEP::HepRotation::yx
double yx() const
CLHEP::HepRotation::zy
double zy() const
CLHEP::HepRotation::rep4x4
HepRep4x4 rep4x4() const
CLHEP::HepRotation::zt
double zt() const
CLHEP::HepRotation::xx
double xx() const
CLHEP::HepRotation::tt
double tt() const
CLHEP::HepRotation::yy
double yy() const
CLHEP::HepRotation::xz
double xz() const
CLHEP::HepRotation::yt
double yt() const
CLHEP::HepRotation::xy
double xy() const
CLHEP::HepRotation::xt
double xt() const
CLHEP
Definition: DoubConv.h:17
CLHEP::operator*
HepLorentzRotation operator*(const HepRotation &r, const HepLorentzRotation &lt)
Definition: LorentzRotation.cc:264