Geant4  10.00.p01
RotationZ.icc
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1 // -*- C++ -*-
2 // ---------------------------------------------------------------------------
3 //
4 // This file is a part of the CLHEP - a Class Library for High Energy Physics.
5 //
6 // This is the definitions of the inline member functions of the
7 // HepRotationZ class
8 //
9 
10 #include <cmath>
11 #include "CLHEP/Units/PhysicalConstants.h"
12 
13 namespace CLHEP {
14 
15 inline double HepRotationZ::xx() const { return its_c; }
16 inline double HepRotationZ::xy() const { return -its_s; }
17 inline double HepRotationZ::yx() const { return its_s; }
18 inline double HepRotationZ::yy() const { return its_c; }
19 
20 inline double HepRotationZ::zz() const { return 1.0; }
21 inline double HepRotationZ::zy() const { return 0.0; }
22 inline double HepRotationZ::zx() const { return 0.0; }
23 inline double HepRotationZ::yz() const { return 0.0; }
24 inline double HepRotationZ::xz() const { return 0.0; }
25 
26 inline HepRep3x3 HepRotationZ::rep3x3() const {
27  return HepRep3x3 ( its_c, -its_s, 0.0,
28  its_s, its_c, 0.0,
29  0.0, 0.0, 1.0 );
30 }
31 
32 inline HepRotationZ::HepRotationZ() : its_d(0.0), its_s(0.0), its_c(1.0) {}
33 
34 inline HepRotationZ::HepRotationZ(const HepRotationZ & orig) :
35  its_d(orig.its_d), its_s(orig.its_s), its_c(orig.its_c)
36 {}
37 
38 inline HepRotationZ::HepRotationZ(double dd, double ss, double cc) :
39  its_d(dd), its_s(ss), its_c(cc)
40 {}
41 
42 inline HepRotationZ & HepRotationZ::operator= (const HepRotationZ & orig) {
43  its_d = orig.its_d;
44  its_s = orig.its_s;
45  its_c = orig.its_c;
46  return *this;
47 }
48 
49 inline HepRotationZ::~HepRotationZ() {}
50 
51 inline Hep3Vector HepRotationZ::colX() const
52  { return Hep3Vector ( its_c, its_s, 0.0 ); }
53 inline Hep3Vector HepRotationZ::colY() const
54  { return Hep3Vector ( -its_s, its_c, 0.0 ); }
55 inline Hep3Vector HepRotationZ::colZ() const
56  { return Hep3Vector ( 0.0, 0.0, 1.0 ); }
57 
58 inline Hep3Vector HepRotationZ::rowX() const
59  { return Hep3Vector ( its_c, -its_s, 0.0 ); }
60 inline Hep3Vector HepRotationZ::rowY() const
61  { return Hep3Vector ( its_s, its_c, 0.0 ); }
62 inline Hep3Vector HepRotationZ::rowZ() const
63  { return Hep3Vector ( 0.0, 0.0, 1.0 ); }
64 
65 inline double HepRotationZ::getPhi () const { return phi(); }
66 inline double HepRotationZ::getTheta() const { return theta(); }
67 inline double HepRotationZ::getPsi () const { return psi(); }
68 inline double HepRotationZ::getDelta() const { return its_d; }
69 inline Hep3Vector HepRotationZ::getAxis () const { return axis(); }
70 
71 inline double HepRotationZ::delta() const { return its_d; }
72 inline Hep3Vector HepRotationZ::axis() const { return Hep3Vector(0,0,1); }
73 
74 inline HepAxisAngle HepRotationZ::axisAngle() const {
75  return HepAxisAngle ( axis(), delta() );
76 }
77 
78 inline void HepRotationZ::getAngleAxis
79  (double & ddelta, Hep3Vector & aaxis) const {
80  ddelta = its_d;
81  aaxis = getAxis();
82 }
83 
84 inline bool HepRotationZ::isIdentity() const {
85  return ( its_d==0 );
86 }
87 
88 inline int HepRotationZ::compare ( const HepRotationZ & r ) const {
89  if (its_d > r.its_d) return 1; else if (its_d < r.its_d) return -1; else return 0;
90 }
91 
92 inline bool HepRotationZ::operator==(const HepRotationZ & r) const
93  { return (its_d==r.its_d); }
94 inline bool HepRotationZ::operator!=(const HepRotationZ & r) const
95  { return (its_d!=r.its_d); }
96 inline bool HepRotationZ::operator>=(const HepRotationZ & r) const
97  { return (its_d>=r.its_d); }
98 inline bool HepRotationZ::operator<=(const HepRotationZ & r) const
99  { return (its_d<=r.its_d); }
100 inline bool HepRotationZ::operator> (const HepRotationZ & r) const
101  { return (its_d> r.its_d); }
102 inline bool HepRotationZ::operator< (const HepRotationZ & r) const
103  { return (its_d< r.its_d); }
104 
105 inline void HepRotationZ::rectify() {
106  its_d = proper(its_d); // Just in case!
107  its_s = std::sin(its_d);
108  its_c = std::cos(its_d);
109 }
110 
111 inline Hep3Vector HepRotationZ::operator() (const Hep3Vector & p) const {
112  double x = p.x();
113  double y = p.y();
114  double z = p.z();
115  return Hep3Vector( x * its_c - y * its_s,
116  x * its_s + y * its_c,
117  z );
118 }
119 
120 inline Hep3Vector HepRotationZ::operator * (const Hep3Vector & p) const {
121  return operator()(p);
122 }
123 
124 inline HepLorentzVector HepRotationZ::operator()
125  ( const HepLorentzVector & w ) const {
126  return HepLorentzVector( operator() (w.vect()) , w.t() );
127 }
128 
129 inline HepLorentzVector HepRotationZ::operator *
130  (const HepLorentzVector & p) const {
131  return operator()(p);
132 }
133 
134 inline HepRotationZ & HepRotationZ::operator *= (const HepRotationZ & m1) {
135  return *this = (*this) * (m1);
136 }
137 
138 inline HepRotationZ & HepRotationZ::transform(const HepRotationZ & m1) {
139  return *this = m1 * (*this);
140 }
141 
142 inline double HepRotationZ::proper( double ddelta ) {
143  // -PI < its_d <= PI
144  if ( std::fabs(ddelta) < CLHEP::pi ) {
145  return ddelta;
146  } else {
147  register double x = ddelta / (CLHEP::twopi);
148  return (CLHEP::twopi) * ( x + std::floor(.5-x) );
149  }
150 } // proper()
151 
152 inline HepRotationZ HepRotationZ::operator * ( const HepRotationZ & rz ) const {
153  return HepRotationZ ( HepRotationZ::proper(its_d+rz.its_d),
154  its_s*rz.its_c + its_c*rz.its_s,
155  its_c*rz.its_c - its_s*rz.its_s );
156 }
157 
158 inline HepRotationZ HepRotationZ::inverse() const {
159  return HepRotationZ( proper(-its_d), -its_s, its_c );
160 }
161 
162 inline HepRotationZ inverseOf(const HepRotationZ & r) {
163  return r.inverse();
164 }
165 
166 inline HepRotationZ & HepRotationZ::invert() {
167  return *this=inverse();
168 }
169 
170 inline HepLorentzVector HepRotationZ::col1() const
171  { return HepLorentzVector (colX(), 0); }
172 inline HepLorentzVector HepRotationZ::col2() const
173  { return HepLorentzVector (colY(), 0); }
174 inline HepLorentzVector HepRotationZ::col3() const
175  { return HepLorentzVector (colZ(), 0); }
176 inline HepLorentzVector HepRotationZ::col4() const
177  { return HepLorentzVector (0,0,0,1); }
178 inline HepLorentzVector HepRotationZ::row1() const
179  { return HepLorentzVector (rowX(), 0); }
180 inline HepLorentzVector HepRotationZ::row2() const
181  { return HepLorentzVector (rowY(), 0); }
182 inline HepLorentzVector HepRotationZ::row3() const
183  { return HepLorentzVector (rowZ(), 0); }
184 inline HepLorentzVector HepRotationZ::row4() const
185  { return HepLorentzVector (0,0,0,1); }
186 inline double HepRotationZ::xt() const { return 0.0; }
187 inline double HepRotationZ::yt() const { return 0.0; }
188 inline double HepRotationZ::zt() const { return 0.0; }
189 inline double HepRotationZ::tx() const { return 0.0; }
190 inline double HepRotationZ::ty() const { return 0.0; }
191 inline double HepRotationZ::tz() const { return 0.0; }
192 inline double HepRotationZ::tt() const { return 1.0; }
193 
194 inline HepRep4x4 HepRotationZ::rep4x4() const {
195  return HepRep4x4 ( its_c, -its_s, 0.0, 0.0,
196  its_s, its_c, 0.0, 0.0,
197  0.0, 0.0, 1.0, 0.0,
198  0.0, 0.0, 0.0, 1.0 );
199 }
200 
201 inline double HepRotationZ::getTolerance() {
202  return Hep4RotationInterface::tolerance;
203 }
204 inline double HepRotationZ::setTolerance(double tol) {
205  return Hep4RotationInterface::setTolerance(tol);
206 }
207 
208 } // namespace CLHEP