| Geant4 Cross Reference |
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 methods of th 6 // This is the implementation of methods of the HepRotationY class which
7 // were introduced when ZOOM PhysicsVectors wa 7 // were introduced when ZOOM PhysicsVectors was merged in.
8 // 8 //
9 9
10 #include "CLHEP/Vector/RotationY.h" 10 #include "CLHEP/Vector/RotationY.h"
11 #include "CLHEP/Vector/AxisAngle.h" 11 #include "CLHEP/Vector/AxisAngle.h"
12 #include "CLHEP/Vector/EulerAngles.h" 12 #include "CLHEP/Vector/EulerAngles.h"
13 #include "CLHEP/Vector/LorentzRotation.h" 13 #include "CLHEP/Vector/LorentzRotation.h"
14 #include "CLHEP/Units/PhysicalConstants.h" 14 #include "CLHEP/Units/PhysicalConstants.h"
15 15
16 #include <cmath> 16 #include <cmath>
17 #include <stdlib.h> 17 #include <stdlib.h>
18 #include <iostream> 18 #include <iostream>
19 19
20 namespace CLHEP { 20 namespace CLHEP {
21 21
22 static inline double safe_acos (double x) { 22 static inline double safe_acos (double x) {
23 if (std::abs(x) <= 1.0) return std::acos(x); 23 if (std::abs(x) <= 1.0) return std::acos(x);
24 return ( (x>0) ? 0 : CLHEP::pi ); 24 return ( (x>0) ? 0 : CLHEP::pi );
25 } 25 }
26 26
27 HepRotationY::HepRotationY(double ddelta) : 27 HepRotationY::HepRotationY(double ddelta) :
28 its_d(proper(ddelta)), its_s(std::sin(ddel 28 its_d(proper(ddelta)), its_s(std::sin(ddelta)), its_c(std::cos(ddelta))
29 {} 29 {}
30 30
31 HepRotationY & HepRotationY::set ( double ddel 31 HepRotationY & HepRotationY::set ( double ddelta ) {
32 its_d = proper(ddelta); 32 its_d = proper(ddelta);
33 its_s = std::sin(its_d); 33 its_s = std::sin(its_d);
34 its_c = std::cos(its_d); 34 its_c = std::cos(its_d);
35 return *this; 35 return *this;
36 } 36 }
37 37
38 double HepRotationY::phi() const { 38 double HepRotationY::phi() const {
39 if ( its_d == 0 ) { 39 if ( its_d == 0 ) {
40 return 0; 40 return 0;
41 } else if ( (its_d < 0) || (its_d == CLHEP:: 41 } else if ( (its_d < 0) || (its_d == CLHEP::pi) ) {
42 return +CLHEP::halfpi; 42 return +CLHEP::halfpi;
43 } else { 43 } else {
44 return -CLHEP::halfpi; 44 return -CLHEP::halfpi;
45 } 45 }
46 } // HepRotationY::phi() 46 } // HepRotationY::phi()
47 47
48 double HepRotationY::theta() const { 48 double HepRotationY::theta() const {
49 return std::fabs( its_d ); 49 return std::fabs( its_d );
50 } // HepRotationY::theta() 50 } // HepRotationY::theta()
51 51
52 double HepRotationY::psi() const { 52 double HepRotationY::psi() const {
53 if ( its_d == 0 ) { 53 if ( its_d == 0 ) {
54 return 0; 54 return 0;
55 } else if ( (its_d < 0) || (its_d == CLHEP:: 55 } else if ( (its_d < 0) || (its_d == CLHEP::pi) ) {
56 return -CLHEP::halfpi; 56 return -CLHEP::halfpi;
57 } else { 57 } else {
58 return +CLHEP::halfpi; 58 return +CLHEP::halfpi;
59 } 59 }
60 } // HepRotationY::psi() 60 } // HepRotationY::psi()
61 61
62 HepEulerAngles HepRotationY::eulerAngles() con 62 HepEulerAngles HepRotationY::eulerAngles() const {
63 return HepEulerAngles( phi(), theta(), ps 63 return HepEulerAngles( phi(), theta(), psi() );
64 } // HepRotationY::eulerAngles() 64 } // HepRotationY::eulerAngles()
65 65
66 66
67 // From the defining code in the implementatio 67 // From the defining code in the implementation of CLHEP (in Rotation.cc)
68 // it is clear that thetaX, phiX form the pola 68 // it is clear that thetaX, phiX form the polar angles in the original
69 // coordinate system of the new X axis (and si 69 // coordinate system of the new X axis (and similarly for phiY and phiZ).
70 // 70 //
71 // This code is taken directly from the origin 71 // This code is taken directly from the original CLHEP. However, there are as
72 // shown opportunities for significant speed i 72 // shown opportunities for significant speed improvement.
73 73
74 double HepRotationY::phiX() const { 74 double HepRotationY::phiX() const {
75 return (yx() == 0.0 && xx() == 0.0) ? 0.0 : 75 return (yx() == 0.0 && xx() == 0.0) ? 0.0 : std::atan2(yx(),xx());
76 // or ---- return 0; 76 // or ---- return 0;
77 } 77 }
78 78
79 double HepRotationY::phiY() const { 79 double HepRotationY::phiY() const {
80 return (yy() == 0.0 && xy() == 0.0) ? 0.0 : 80 return (yy() == 0.0 && xy() == 0.0) ? 0.0 : std::atan2(yy(),xy());
81 // or ---- return CLHEP::halfpi; 81 // or ---- return CLHEP::halfpi;
82 } 82 }
83 83
84 double HepRotationY::phiZ() const { 84 double HepRotationY::phiZ() const {
85 return (yz() == 0.0 && xz() == 0.0) ? 0.0 : 85 return (yz() == 0.0 && xz() == 0.0) ? 0.0 : std::atan2(yz(),xz());
86 // or ---- return 0; 86 // or ---- return 0;
87 } 87 }
88 88
89 double HepRotationY::thetaX() const { 89 double HepRotationY::thetaX() const {
90 return safe_acos(zx()); 90 return safe_acos(zx());
91 } 91 }
92 92
93 double HepRotationY::thetaY() const { 93 double HepRotationY::thetaY() const {
94 return safe_acos(zy()); 94 return safe_acos(zy());
95 // or ---- return CLHEP::halfpi; 95 // or ---- return CLHEP::halfpi;
96 } 96 }
97 97
98 double HepRotationY::thetaZ() const { 98 double HepRotationY::thetaZ() const {
99 return safe_acos(zz()); 99 return safe_acos(zz());
100 // or ---- return d; 100 // or ---- return d;
101 } 101 }
102 102
103 void HepRotationY::setDelta ( double ddelta ) 103 void HepRotationY::setDelta ( double ddelta ) {
104 set(ddelta); 104 set(ddelta);
105 } 105 }
106 106
107 void HepRotationY::decompose 107 void HepRotationY::decompose
108 (HepAxisAngle & rotation, Hep3Vector & boost 108 (HepAxisAngle & rotation, Hep3Vector & boost) const {
109 boost.set(0,0,0); 109 boost.set(0,0,0);
110 rotation = axisAngle(); 110 rotation = axisAngle();
111 } 111 }
112 112
113 void HepRotationY::decompose 113 void HepRotationY::decompose
114 (Hep3Vector & boost, HepAxisAngle & rotation 114 (Hep3Vector & boost, HepAxisAngle & rotation) const {
115 boost.set(0,0,0); 115 boost.set(0,0,0);
116 rotation = axisAngle(); 116 rotation = axisAngle();
117 } 117 }
118 118
119 void HepRotationY::decompose 119 void HepRotationY::decompose
120 (HepRotation & rotation, HepBoost & bo 120 (HepRotation & rotation, HepBoost & boost) const {
121 boost.set(0,0,0); 121 boost.set(0,0,0);
122 rotation = HepRotation(*this); 122 rotation = HepRotation(*this);
123 } 123 }
124 124
125 void HepRotationY::decompose 125 void HepRotationY::decompose
126 (HepBoost & boost, HepRotation & rotat 126 (HepBoost & boost, HepRotation & rotation) const {
127 boost.set(0,0,0); 127 boost.set(0,0,0);
128 rotation = HepRotation(*this); 128 rotation = HepRotation(*this);
129 } 129 }
130 130
131 double HepRotationY::distance2( const HepRotat 131 double HepRotationY::distance2( const HepRotationY & r ) const {
132 double answer = 2.0 * ( 1.0 - ( its_s * r.it 132 double answer = 2.0 * ( 1.0 - ( its_s * r.its_s + its_c * r.its_c ) ) ;
133 return (answer >= 0) ? answer : 0; 133 return (answer >= 0) ? answer : 0;
134 } 134 }
135 135
136 double HepRotationY::distance2( const HepRotat 136 double HepRotationY::distance2( const HepRotation & r ) const {
137 double sum = xx() * r.xx() + 137 double sum = xx() * r.xx() + xz() * r.xz()
138 + r.yy() 138 + r.yy()
139 + zx() * r.zx() 139 + zx() * r.zx() + zz() * r.zz();
140 double answer = 3.0 - sum; 140 double answer = 3.0 - sum;
141 return (answer >= 0 ) ? answer : 0; 141 return (answer >= 0 ) ? answer : 0;
142 } 142 }
143 143
144 double HepRotationY::distance2( const HepLoren 144 double HepRotationY::distance2( const HepLorentzRotation & lt ) const {
145 HepAxisAngle a; 145 HepAxisAngle a;
146 Hep3Vector b; 146 Hep3Vector b;
147 lt.decompose(b, a); 147 lt.decompose(b, a);
148 double bet = b.beta(); 148 double bet = b.beta();
149 double bet2 = bet*bet; 149 double bet2 = bet*bet;
150 HepRotation r(a); 150 HepRotation r(a);
151 return bet2/(1-bet2) + distance2(r); 151 return bet2/(1-bet2) + distance2(r);
152 } 152 }
153 153
154 double HepRotationY::distance2( const HepBoost 154 double HepRotationY::distance2( const HepBoost & lt ) const {
155 return distance2( HepLorentzRotation(lt)); 155 return distance2( HepLorentzRotation(lt));
156 } 156 }
157 157
158 double HepRotationY::howNear( const HepRotatio 158 double HepRotationY::howNear( const HepRotationY & r ) const {
159 return std::sqrt(distance2(r)); 159 return std::sqrt(distance2(r));
160 } 160 }
161 double HepRotationY::howNear( const HepRotatio 161 double HepRotationY::howNear( const HepRotation & r ) const {
162 return std::sqrt(distance2(r)); 162 return std::sqrt(distance2(r));
163 } 163 }
164 double HepRotationY::howNear( const HepBoost & 164 double HepRotationY::howNear( const HepBoost & lt ) const {
165 return std::sqrt(distance2(lt)); 165 return std::sqrt(distance2(lt));
166 } 166 }
167 double HepRotationY::howNear( const HepLorentz 167 double HepRotationY::howNear( const HepLorentzRotation & lt ) const {
168 return std::sqrt(distance2(lt)); 168 return std::sqrt(distance2(lt));
169 } 169 }
170 bool HepRotationY::isNear(const HepRotationY & 170 bool HepRotationY::isNear(const HepRotationY & r,double epsilon)const{
171 return (distance2(r) <= epsilon*epsilon); 171 return (distance2(r) <= epsilon*epsilon);
172 } 172 }
173 bool HepRotationY::isNear(const HepRotation & 173 bool HepRotationY::isNear(const HepRotation & r,double epsilon)const {
174 return (distance2(r) <= epsilon*epsilon); 174 return (distance2(r) <= epsilon*epsilon);
175 } 175 }
176 bool HepRotationY::isNear( const HepBoost & lt 176 bool HepRotationY::isNear( const HepBoost & lt,double epsilon) const {
177 return (distance2(lt) <= epsilon*epsilon); 177 return (distance2(lt) <= epsilon*epsilon);
178 } 178 }
179 bool HepRotationY::isNear( const HepLorentzRot 179 bool HepRotationY::isNear( const HepLorentzRotation & lt,
180 double ep 180 double epsilon) const {
181 return (distance2(lt) <= epsilon*epsilon); 181 return (distance2(lt) <= epsilon*epsilon);
182 } 182 }
183 183
184 double HepRotationY::norm2() const { 184 double HepRotationY::norm2() const {
185 return 2.0 - 2.0 * its_c; 185 return 2.0 - 2.0 * its_c;
186 } 186 }
187 187
188 std::ostream & HepRotationY::print( std::ostre 188 std::ostream & HepRotationY::print( std::ostream & os ) const {
189 os << "\nRotation about Y (" << its_d << 189 os << "\nRotation about Y (" << its_d <<
190 ") [cos d = " << its_c << " si 190 ") [cos d = " << its_c << " sin d = " << its_s << "]\n";
191 return os; 191 return os;
192 } 192 }
193 193
194 } // namespace CLHEP 194 } // namespace CLHEP
195 195