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