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da0e9ce3 | 1 | //-------------------------------------------------------------------------- |
2 | // | |
3 | // Environment: | |
4 | // This software is part of the EvtGen package developed jointly | |
5 | // for the BaBar and CLEO collaborations. If you use all or part | |
6 | // of it, please give an appropriate acknowledgement. | |
7 | // | |
8 | // Copyright Information: See EvtGen/COPYRIGHT | |
9 | // Copyright (C) 1998 Caltech, UCSB | |
10 | // | |
11 | // Module: EvtVector4R.cc | |
12 | // | |
13 | // Description: Real implementation of 4-vectors | |
14 | // | |
15 | // Modification history: | |
16 | // | |
17 | // DJL/RYD September 25, 1996 Module created | |
18 | // | |
19 | //------------------------------------------------------------------------ | |
20 | // | |
21 | #include "EvtGenBase/EvtPatches.hh" | |
22 | #include <iostream> | |
23 | #include <math.h> | |
24 | #include <assert.h> | |
25 | #include "EvtGenBase/EvtVector4R.hh" | |
26 | #include "EvtGenBase/EvtVector3R.hh" | |
27 | #include "EvtGenBase/EvtVector4C.hh" | |
28 | #include "EvtGenBase/EvtTensor4C.hh" | |
29 | ||
30 | using std::ostream; | |
31 | ||
32 | ||
33 | ||
34 | EvtVector4R::EvtVector4R(double e,double p1,double p2, double p3){ | |
35 | ||
36 | v[0]=e; v[1]=p1; v[2]=p2; v[3]=p3; | |
37 | } | |
38 | ||
39 | double EvtVector4R::mass() const{ | |
40 | ||
41 | double m2=v[0]*v[0]-v[1]*v[1]-v[2]*v[2]-v[3]*v[3]; | |
42 | ||
43 | if (m2>0.0) { | |
44 | return sqrt(m2); | |
45 | } | |
46 | else{ | |
47 | return 0.0; | |
48 | } | |
49 | } | |
50 | ||
51 | ||
52 | EvtVector4R rotateEuler(const EvtVector4R& rs, | |
53 | double alpha,double beta,double gamma){ | |
54 | ||
55 | EvtVector4R tmp(rs); | |
56 | tmp.applyRotateEuler(alpha,beta,gamma); | |
57 | return tmp; | |
58 | ||
59 | } | |
60 | ||
61 | EvtVector4R boostTo(const EvtVector4R& rs, | |
62 | const EvtVector4R& p4){ | |
63 | ||
64 | EvtVector4R tmp(rs); | |
65 | tmp.applyBoostTo(p4); | |
66 | return tmp; | |
67 | ||
68 | } | |
69 | ||
70 | EvtVector4R boostTo(const EvtVector4R& rs, | |
71 | const EvtVector3R& boost){ | |
72 | ||
73 | EvtVector4R tmp(rs); | |
74 | tmp.applyBoostTo(boost); | |
75 | return tmp; | |
76 | ||
77 | } | |
78 | ||
79 | ||
80 | ||
81 | void EvtVector4R::applyRotateEuler(double phi,double theta,double ksi){ | |
82 | ||
83 | double sp=sin(phi); | |
84 | double st=sin(theta); | |
85 | double sk=sin(ksi); | |
86 | double cp=cos(phi); | |
87 | double ct=cos(theta); | |
88 | double ck=cos(ksi); | |
89 | ||
90 | double x=( ck*ct*cp-sk*sp)*v[1]+( -sk*ct*cp-ck*sp)*v[2]+st*cp*v[3]; | |
91 | double y=( ck*ct*sp+sk*cp)*v[1]+(-sk*ct*sp+ck*cp)*v[2]+st*sp*v[3]; | |
92 | double z=-ck*st*v[1]+sk*st*v[2]+ct*v[3]; | |
93 | ||
94 | v[1]=x; | |
95 | v[2]=y; | |
96 | v[3]=z; | |
97 | ||
98 | } | |
99 | ||
100 | ostream& operator<<(ostream& s, const EvtVector4R& v){ | |
101 | ||
102 | s<<"("<<v.v[0]<<","<<v.v[1]<<","<<v.v[2]<<","<<v.v[3]<<")"; | |
103 | ||
104 | return s; | |
105 | ||
106 | } | |
107 | ||
108 | void EvtVector4R::applyBoostTo(const EvtVector4R& p4){ | |
109 | ||
110 | double e=p4.get(0); | |
111 | ||
112 | EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e); | |
113 | ||
114 | applyBoostTo(boost); | |
115 | ||
116 | return; | |
117 | ||
118 | } | |
119 | ||
120 | void EvtVector4R::applyBoostTo(const EvtVector3R& boost){ | |
121 | ||
122 | double bx,by,bz,gamma,b2; | |
123 | ||
124 | bx=boost.get(0); | |
125 | by=boost.get(1); | |
126 | bz=boost.get(2); | |
127 | ||
128 | double bxx=bx*bx; | |
129 | double byy=by*by; | |
130 | double bzz=bz*bz; | |
131 | ||
132 | b2=bxx+byy+bzz; | |
133 | ||
134 | ||
135 | if (b2==0.0){ | |
136 | return; | |
137 | } | |
138 | ||
139 | assert(b2<1.0); | |
140 | ||
141 | gamma=1.0/sqrt(1-b2); | |
142 | ||
143 | ||
144 | double gb2=(gamma-1.0)/b2; | |
145 | ||
146 | double gb2xy=gb2*bx*by; | |
147 | double gb2xz=gb2*bx*bz; | |
148 | double gb2yz=gb2*by*bz; | |
149 | ||
150 | double gbx=gamma*bx; | |
151 | double gby=gamma*by; | |
152 | double gbz=gamma*bz; | |
153 | ||
154 | double e2=v[0]; | |
155 | double px2=v[1]; | |
156 | double py2=v[2]; | |
157 | double pz2=v[3]; | |
158 | ||
159 | v[0]=gamma*e2+gbx*px2+gby*py2+gbz*pz2; | |
160 | ||
161 | v[1]=gbx*e2+gb2*bxx*px2+px2+gb2xy*py2+gb2xz*pz2; | |
162 | ||
163 | v[2]=gby*e2+gb2*byy*py2+py2+gb2xy*px2+gb2yz*pz2; | |
164 | ||
165 | v[3]=gbz*e2+gb2*bzz*pz2+pz2+gb2yz*py2+gb2xz*px2; | |
166 | ||
167 | return; | |
168 | ||
169 | } | |
170 | ||
171 | EvtVector4R EvtVector4R::cross( const EvtVector4R& p2 ){ | |
172 | ||
173 | //Calcs the cross product. Added by djl on July 27, 1995. | |
174 | //Modified for real vectros by ryd Aug 28-96 | |
175 | ||
176 | EvtVector4R temp; | |
177 | ||
178 | temp.v[0] = 0.0; | |
179 | temp.v[1] = v[2]*p2.v[3] - v[3]*p2.v[2]; | |
180 | temp.v[2] = v[3]*p2.v[1] - v[1]*p2.v[3]; | |
181 | temp.v[3] = v[1]*p2.v[2] - v[2]*p2.v[1]; | |
182 | ||
183 | return temp; | |
184 | } | |
185 | ||
186 | double EvtVector4R::d3mag() const | |
187 | ||
188 | // returns the 3 momentum mag. | |
189 | { | |
190 | double temp; | |
191 | ||
192 | temp = v[1]*v[1]+v[2]*v[2]+v[3]*v[3]; | |
193 | ||
194 | temp = sqrt( temp ); | |
195 | ||
196 | return temp; | |
197 | } // r3mag | |
198 | ||
199 | double EvtVector4R::dot ( const EvtVector4R& p2 )const{ | |
200 | ||
201 | //Returns the dot product of the 3 momentum. Added by | |
202 | //djl on July 27, 1995. for real!!! | |
203 | ||
204 | double temp; | |
205 | ||
206 | temp = v[1]*p2.v[1]; | |
207 | temp += v[2]*p2.v[2]; | |
208 | temp += v[3]*p2.v[3]; | |
209 | ||
210 | return temp; | |
211 | ||
212 | } //dot | |
213 | ||
214 | // Functions below added by AJB | |
215 | ||
216 | // Calculate ( \vec{p1} cross \vec{p2} ) \cdot \vec{p3} in rest frame of object | |
217 | double EvtVector4R::scalartripler3( const EvtVector4R& p1, | |
218 | const EvtVector4R& p2, const EvtVector4R& p3 ) const | |
219 | { | |
220 | EvtVector4C lc=dual(directProd(*this, p1)).cont2(p2); | |
221 | EvtVector4R l(real(lc.get(0)), real(lc.get(1)), real(lc.get(2)), | |
222 | real(lc.get(3))); | |
223 | ||
224 | return -1.0/mass() * (l * p3); | |
225 | } | |
226 | ||
227 | // Calculate the 3-d dot product of 4-vectors p1 and p2 in the rest frame of | |
228 | // 4-vector p0 | |
229 | double EvtVector4R::dotr3( const EvtVector4R& p1, const EvtVector4R& p2 ) const | |
230 | { | |
231 | return 1/mass2() * ((*this) * p1) * ((*this) * p2) - p1 * p2; | |
232 | } | |
233 | ||
234 | // Calculate the 3-d magnitude squared of 4-vector p1 in the rest frame of | |
235 | // 4-vector p0 | |
236 | double EvtVector4R::mag2r3( const EvtVector4R& p1 ) const | |
237 | { | |
238 | return Square((*this) * p1)/mass2() - p1.mass2(); | |
239 | } | |
240 | ||
241 | // Calculate the 3-d magnitude 4-vector p1 in the rest frame of 4-vector p0. | |
242 | double EvtVector4R::magr3( const EvtVector4R& p1 ) const | |
243 | { | |
244 | return sqrt(mag2r3(p1)); | |
245 | } | |
246 | ||
247 | ||
248 | ||
249 | ||
250 | ||
251 | ||
252 |