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1 // -*- C++ -*- 1 // -*- C++ -*-
2 // 2 //
3 // This file is a part of the CLHEP - a Class 3 // This file is a part of the CLHEP - a Class Library for High Energy Physics.
4 // 4 //
5 // This is the definition of the HepBoostX cla 5 // This is the definition of the HepBoostX class for performing specialized
6 // Lorentz transformations which are pure boos 6 // Lorentz transformations which are pure boosts in the X direction, on
7 // objects of the HepLorentzVector class. 7 // objects of the HepLorentzVector class.
8 // 8 //
9 // HepLorentzRotation is a concrete implementa 9 // HepLorentzRotation is a concrete implementation of Hep4RotationInterface.
10 // 10 //
11 // .SS See Also 11 // .SS See Also
12 // RotationInterfaces.h 12 // RotationInterfaces.h
13 // LorentzVector.h LorentzRotation.h 13 // LorentzVector.h LorentzRotation.h
14 // Boost.h 14 // Boost.h
15 // 15 //
16 // .SS Author 16 // .SS Author
17 // Mark Fischler 17 // Mark Fischler
18 18
19 #ifndef HEP_BOOSTX_H 19 #ifndef HEP_BOOSTX_H
20 #define HEP_BOOSTX_H 20 #define HEP_BOOSTX_H
21 21
>> 22 #ifdef GNUPRAGMA
>> 23 #pragma interface
>> 24 #endif
>> 25
22 #include "CLHEP/Vector/RotationInterfaces.h" 26 #include "CLHEP/Vector/RotationInterfaces.h"
23 #include "CLHEP/Vector/LorentzVector.h" 27 #include "CLHEP/Vector/LorentzVector.h"
24 28
25 namespace CLHEP { 29 namespace CLHEP {
26 30
27 // Declarations of classes and global methods 31 // Declarations of classes and global methods
28 class HepBoostX; 32 class HepBoostX;
29 inline HepBoostX inverseOf ( const HepBoostX & 33 inline HepBoostX inverseOf ( const HepBoostX & b );
30 class HepBoost; 34 class HepBoost;
31 class HepRotation; 35 class HepRotation;
32 36
33 /** 37 /**
34 * @author 38 * @author
35 * @ingroup vector 39 * @ingroup vector
36 */ 40 */
37 class HepBoostX { 41 class HepBoostX {
38 42
39 public: 43 public:
40 44
41 // ---------- Constructors and Assignment: 45 // ---------- Constructors and Assignment:
42 46
43 inline HepBoostX(); 47 inline HepBoostX();
44 // Default constructor. Gives a boost of 0. 48 // Default constructor. Gives a boost of 0.
45 49
46 inline HepBoostX(const HepBoostX & b); 50 inline HepBoostX(const HepBoostX & b);
47 inline HepBoostX(HepBoostX && b) = default; << 51 // Copy constructor.
48 // Copy and move constructors. <<
49 52
50 inline HepBoostX & operator = (const HepBoos 53 inline HepBoostX & operator = (const HepBoostX & m);
51 inline HepBoostX & operator = (HepBoostX && << 54 // Assignment.
52 // Copy and move assignment operators. <<
53 55
54 HepBoostX & set (double beta); 56 HepBoostX & set (double beta);
55 inline HepBoostX (double beta); 57 inline HepBoostX (double beta);
56 // Constructor from beta 58 // Constructor from beta
57 59
58 // ---------- Accessors: 60 // ---------- Accessors:
59 61
60 inline double beta() const; 62 inline double beta() const;
61 inline double gamma() const; 63 inline double gamma() const;
62 inline Hep3Vector boostVector() const; 64 inline Hep3Vector boostVector() const;
63 inline Hep3Vector getDirection() const; 65 inline Hep3Vector getDirection() const;
64 66
65 inline double xx() const; 67 inline double xx() const;
66 inline double xy() const; 68 inline double xy() const;
67 inline double xz() const; 69 inline double xz() const;
68 inline double xt() const; 70 inline double xt() const;
69 inline double yx() const; 71 inline double yx() const;
70 inline double yy() const; 72 inline double yy() const;
71 inline double yz() const; 73 inline double yz() const;
72 inline double yt() const; 74 inline double yt() const;
73 inline double zx() const; 75 inline double zx() const;
74 inline double zy() const; 76 inline double zy() const;
75 inline double zz() const; 77 inline double zz() const;
76 inline double zt() const; 78 inline double zt() const;
77 inline double tx() const; 79 inline double tx() const;
78 inline double ty() const; 80 inline double ty() const;
79 inline double tz() const; 81 inline double tz() const;
80 inline double tt() const; 82 inline double tt() const;
81 // Elements of the matrix. 83 // Elements of the matrix.
82 84
83 inline HepLorentzVector col1() const; 85 inline HepLorentzVector col1() const;
84 inline HepLorentzVector col2() const; 86 inline HepLorentzVector col2() const;
85 inline HepLorentzVector col3() const; 87 inline HepLorentzVector col3() const;
86 inline HepLorentzVector col4() const; 88 inline HepLorentzVector col4() const;
87 // orthosymplectic column vectors 89 // orthosymplectic column vectors
88 90
89 inline HepLorentzVector row1() const; 91 inline HepLorentzVector row1() const;
90 inline HepLorentzVector row2() const; 92 inline HepLorentzVector row2() const;
91 inline HepLorentzVector row3() const; 93 inline HepLorentzVector row3() const;
92 inline HepLorentzVector row4() const; 94 inline HepLorentzVector row4() const;
93 // orthosymplectic row vectors 95 // orthosymplectic row vectors
94 96
95 HepRep4x4 rep4x4() const; 97 HepRep4x4 rep4x4() const;
96 // 4x4 representation: 98 // 4x4 representation:
97 99
98 HepRep4x4Symmetric rep4x4Symmetric() const; 100 HepRep4x4Symmetric rep4x4Symmetric() const;
99 // Symmetric 4x4 representation. 101 // Symmetric 4x4 representation.
100 102
101 // ---------- Decomposition: 103 // ---------- Decomposition:
102 104
103 void decompose (HepRotation & rotation, Hep 105 void decompose (HepRotation & rotation, HepBoost & boost) const;
104 void decompose (HepAxisAngle & rotation, Hep 106 void decompose (HepAxisAngle & rotation, Hep3Vector & boost) const;
105 // Find R and B such that L = R*B -- trivial 107 // Find R and B such that L = R*B -- trivial, since R is identity
106 108
107 void decompose ( HepBoost & boost, HepRotat 109 void decompose ( HepBoost & boost, HepRotation & rotation) const;
108 void decompose (Hep3Vector & boost, HepAxisA 110 void decompose (Hep3Vector & boost, HepAxisAngle & rotation) const;
109 // Find R and B such that L = B*R -- trivial 111 // Find R and B such that L = B*R -- trivial, since R is identity
110 112
111 // ---------- Comparisons: 113 // ---------- Comparisons:
112 114
113 inline int compare( const HepBoostX & b ) c 115 inline int compare( const HepBoostX & b ) const;
114 // Dictionary-order comparison, in order of 116 // Dictionary-order comparison, in order of beta.
115 // Used in operator<, >, <=, >= 117 // Used in operator<, >, <=, >=
116 118
117 inline bool operator == (const HepBoostX & b 119 inline bool operator == (const HepBoostX & b) const;
118 inline bool operator != (const HepBoostX & b 120 inline bool operator != (const HepBoostX & b) const;
119 inline bool operator <= (const HepBoostX & b 121 inline bool operator <= (const HepBoostX & b) const;
120 inline bool operator >= (const HepBoostX & b 122 inline bool operator >= (const HepBoostX & b) const;
121 inline bool operator < (const HepBoostX & b 123 inline bool operator < (const HepBoostX & b) const;
122 inline bool operator > (const HepBoostX & b 124 inline bool operator > (const HepBoostX & b) const;
123 // Comparisons. 125 // Comparisons.
124 126
125 inline bool isIdentity() const; 127 inline bool isIdentity() const;
126 // Returns true if a null boost. 128 // Returns true if a null boost.
127 129
128 inline double distance2( const HepBoostX & b 130 inline double distance2( const HepBoostX & b ) const;
129 double distance2( const HepBoost & b 131 double distance2( const HepBoost & b ) const;
130 // Defined as the distance2 between the vect 132 // Defined as the distance2 between the vectors (gamma*betaVector)
131 133
132 double distance2( const HepRotation & r ) c 134 double distance2( const HepRotation & r ) const;
133 double distance2( const HepLorentzRotation & 135 double distance2( const HepLorentzRotation & lt ) const;
134 // Decompose lt = B*R; add norm2 to distance 136 // Decompose lt = B*R; add norm2 to distance2 to between boosts.
135 137
136 inline double howNear( const HepBoostX & b 138 inline double howNear( const HepBoostX & b ) const;
137 inline double howNear( const HepBoost & b 139 inline double howNear( const HepBoost & b ) const;
138 inline double howNear( const HepRotation & 140 inline double howNear( const HepRotation & r ) const;
139 inline double howNear( const HepLorentzRot 141 inline double howNear( const HepLorentzRotation & lt ) const;
140 142
141 inline bool isNear( const HepBoostX & b, 143 inline bool isNear( const HepBoostX & b,
142 double epsilon=Hep4RotationInterf 144 double epsilon=Hep4RotationInterface::tolerance) const;
143 inline bool isNear( const HepBoost & b, 145 inline bool isNear( const HepBoost & b,
144 double epsilon=Hep4RotationInterf 146 double epsilon=Hep4RotationInterface::tolerance) const;
145 bool isNear( const HepRotation & r, 147 bool isNear( const HepRotation & r,
146 double epsilon=Hep4RotationInterf 148 double epsilon=Hep4RotationInterface::tolerance) const;
147 bool isNear( const HepLorentzRotation & lt 149 bool isNear( const HepLorentzRotation & lt,
148 double epsilon=Hep4RotationInterf 150 double epsilon=Hep4RotationInterface::tolerance) const;
149 151
150 // ---------- Properties: 152 // ---------- Properties:
151 153
152 inline double norm2() const; 154 inline double norm2() const;
153 // distance2 (IDENTITY), which is beta^2 * g 155 // distance2 (IDENTITY), which is beta^2 * gamma^2
154 156
155 void rectify(); 157 void rectify();
156 // sets according to the stored beta 158 // sets according to the stored beta
157 159
158 // ---------- Application: 160 // ---------- Application:
159 161
160 inline HepLorentzVector operator()( const He 162 inline HepLorentzVector operator()( const HepLorentzVector & w ) const;
161 // Transform a Lorentz Vector. 163 // Transform a Lorentz Vector.
162 164
163 inline HepLorentzVector operator* ( const He 165 inline HepLorentzVector operator* ( const HepLorentzVector & w ) const;
164 // Multiplication with a Lorentz Vector. 166 // Multiplication with a Lorentz Vector.
165 167
166 // ---------- Operations in the group of 4-R 168 // ---------- Operations in the group of 4-Rotations
167 169
168 HepBoostX operator * (const HepBoostX & b) 170 HepBoostX operator * (const HepBoostX & b) const;
169 HepLorentzRotation operator * (const HepBoos 171 HepLorentzRotation operator * (const HepBoost & b) const;
170 HepLorentzRotation operator * (const HepRota 172 HepLorentzRotation operator * (const HepRotation & r) const;
171 HepLorentzRotation operator * (const HepLore 173 HepLorentzRotation operator * (const HepLorentzRotation & lt) const;
172 // Product of two Lorentz Rotations (this) * 174 // Product of two Lorentz Rotations (this) * lt - matrix multiplication
173 // Notice that the product of two pure boost 175 // Notice that the product of two pure boosts in different directions
174 // is no longer a pure boost. 176 // is no longer a pure boost.
175 177
176 inline HepBoostX inverse() const; 178 inline HepBoostX inverse() const;
177 // Return the inverse. 179 // Return the inverse.
178 180
179 inline friend HepBoostX inverseOf ( const He 181 inline friend HepBoostX inverseOf ( const HepBoostX & b );
180 // global methods to invert. 182 // global methods to invert.
181 183
182 inline HepBoostX & invert(); 184 inline HepBoostX & invert();
183 // Inverts the Boost matrix. 185 // Inverts the Boost matrix.
184 186
185 // ---------- I/O: 187 // ---------- I/O:
186 188
187 std::ostream & print( std::ostream & os ) co 189 std::ostream & print( std::ostream & os ) const;
188 // Output form is BOOSTX (beta=..., gamma=.. 190 // Output form is BOOSTX (beta=..., gamma=...);
189 191
190 // ---------- Tolerance 192 // ---------- Tolerance
191 193
192 static inline double getTolerance(); 194 static inline double getTolerance();
193 static inline double setTolerance(double tol 195 static inline double setTolerance(double tol);
194 196
195 protected: 197 protected:
196 198
197 inline HepLorentzVector vectorMultiplication 199 inline HepLorentzVector vectorMultiplication
198 ( cons 200 ( const HepLorentzVector & w ) const;
199 // Multiplication with a Lorentz Vector. 201 // Multiplication with a Lorentz Vector.
200 202
201 HepLorentzRotation matrixMultiplication (con 203 HepLorentzRotation matrixMultiplication (const HepRep4x4 & m) const;
202 HepLorentzRotation matrixMultiplication (con 204 HepLorentzRotation matrixMultiplication (const HepRep4x4Symmetric & m) const;
203 205
204 inline HepBoostX (double beta, double gamma) 206 inline HepBoostX (double beta, double gamma);
205 207
206 double beta_; 208 double beta_;
207 double gamma_; 209 double gamma_;
208 210
209 }; // HepBoostX 211 }; // HepBoostX
210 212
211 inline 213 inline
212 std::ostream & operator << 214 std::ostream & operator <<
213 ( std::ostream & os, const HepBoostX& b ) {r 215 ( std::ostream & os, const HepBoostX& b ) {return b.print(os);}
214 216
215 } // namespace CLHEP 217 } // namespace CLHEP
216 218
217 #include "CLHEP/Vector/BoostX.icc" 219 #include "CLHEP/Vector/BoostX.icc"
218 220
219 #endif /* HEP_BOOSTX_H */ 221 #endif /* HEP_BOOSTX_H */
220 222