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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
30using std::ostream;
31
32
33
34EvtVector4R::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
39double 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
52EvtVector4R 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
61EvtVector4R boostTo(const EvtVector4R& rs,
62 const EvtVector4R& p4){
63
64 EvtVector4R tmp(rs);
65 tmp.applyBoostTo(p4);
66 return tmp;
67
68}
69
70EvtVector4R 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
81void 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
100ostream& 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
108void 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
120void 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
171EvtVector4R 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
186double 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
199double 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
217double 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
229double 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
236double 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.
242double EvtVector4R::magr3( const EvtVector4R& p1 ) const
243{
244 return sqrt(mag2r3(p1));
245}
246
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