1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
|
// -*- C++ -*-
// $Id: testLorentzVector.cc,v 1.2 2003/08/13 20:00:14 garren Exp $
// ---------------------------------------------------------------------------
//
// This file is a part of what might become CLHEP -
// a Class Library for High Energy Physics.
//
// This is a small program for testing the HepLorentzVector class
// and the interaction with the HepLorentzRotation class.
//
#include "CLHEP/Units/GlobalSystemOfUnits.h" // to see shadowing problems
#include "CLHEP/Vector/defs.h"
#include "CLHEP/Vector/LorentzVector.h"
#include "CLHEP/Vector/LorentzRotation.h"
#include "CLHEP/Vector/Sqr.h"
#include <iostream>
#include <cmath>
#include <stdlib.h>
#include <assert.h>
using namespace CLHEP;
#define DEPS 1.0e-14
#define FEPS 1.0e-6
bool approx(double a, double b, double eps) {
return bool( std::abs(a-b) < eps );
}
bool
test(const HepLorentzVector & p, double x, double y, double z, double e,
double eps) {
bool t = bool( approx(p.x(), x, eps) && approx(p.y(), y, eps) &&
approx(p.z(), z, eps) && approx(p.t(), e, eps));
if ( !t ) std::cerr << p << std::endl
<< x << '\t' << y << '\t' << z << '\t' << e
<< std::endl;
return t;
}
void conversion_test(Hep3Vector & v3, HepLorentzVector & v4) {
v3 = Hep3Vector(3.,2.,1.);
assert (v3.x() == v4.x() && v3.y() == v4.y() && v3.z() == v4.z());
}
void conversion_test(const Hep3Vector & v3, const HepLorentzVector & v4) {
assert (v3.x() == v4.x() && v3.y() == v4.y() && v3.z() == v4.z());
}
bool
test(const HepLorentzVector & p, const HepLorentzVector & q, double eps) {
bool t = bool( approx(p.x(), q.x(), eps) &&
approx(p.y(), q.y(), eps) &&
approx(p.z(), q.z(), eps) &&
approx(p.t(), q.t(), eps));
if ( !t ) std::cerr << p << std::endl
<< q << std::endl;
return t;
}
int main () {
HepLorentzVector v4(1.,2.,3.,4.);
const HepLorentzVector v4const(1.,2.,3.,4);
conversion_test(v4,v4);
conversion_test(v4const, v4const);
Hep3Vector f3x(1.0), f3y(0.0, 1.0), f3z(0.0, 0.0, 1.0);
Hep3Vector d30, d3x(1.0), d3y(0.0, 1.0), d3z(0.0, 0.0, 1.0);
// test constructors:
HepLorentzVector d0;
if ( !test(d0, 0.0, 0.0, 0.0, 0.0, DEPS) ) exit(1);
HepLorentzVector d1(d3x, 1.0);
if ( !test(d1, 1.0, 0.0, 0.0, 1.0, DEPS) ) exit(1);
HepLorentzVector d2(d3x + d3y, std::sqrt(2.0));
if ( !test(d2, 1.0, 1.0, 0.0, std::sqrt(2.0), DEPS) ) exit(1);
HepLorentzVector d3(d3z + d2, std::sqrt(3.0));
if ( !test(d3, 1.0, 1.0, 1.0, std::sqrt(3.0), DEPS) ) exit(1);
HepLorentzVector d4(0.0, 0.0, 0.0, 1.0);
if ( !test(d4,0.0, 0.0, 0.0, 1.0, DEPS) ) exit(1);
HepLorentzVector d5(f3x, f3x.mag()); if ( !test(d5, d1, FEPS) ) exit(1);
HepLorentzVector d6(d3x+f3y, (d3x+f3y).mag());
if ( !test(d6, d2, FEPS) ) exit(1);
HepLorentzVector d7(f3x+f3y+f3z, (f3x+f3y+f3z).mag());
if ( !test(d7, d3, FEPS) ) exit(1);
HepLorentzVector f0; if ( !test(f0, 0.0, 0.0, 0.0, 0.0, FEPS) ) exit(1);
HepLorentzVector f1(f3x, 1.0);
if ( !test(f1, 1.0, 0.0, 0.0, 1.0, FEPS) ) exit(1);
HepLorentzVector f2(f3x + f3y, std::sqrt(2.0));
if ( !test(f2, 1.0, 1.0, 0.0, std::sqrt(2.0), FEPS) ) exit(1);
HepLorentzVector f3(f3z + f2, std::sqrt(3.0));
if ( !test(f3, 1.0, 1.0, 1.0, std::sqrt(3.0), FEPS) ) exit(1);
HepLorentzVector f4(0.0, 0.0, 0.0, 1.0);
if ( !test(f4,0.0, 0.0, 0.0, 1.0, FEPS) ) exit(1);
HepLorentzVector f5(d3x, d3x.mag()); if ( !test(f5, f1, FEPS) ) exit(1);
HepLorentzVector f6(f3x+d3y, (f3x+d3y).mag());
if ( !test(f6, f2, FEPS) ) exit(1);
HepLorentzVector f7(d3x+d3y+d3z, (d3x+d3y+d3z).mag());
if ( !test(f7, f3, FEPS) ) exit(1);
HepLorentzVector d8(f7); if ( !test(d8, d7, FEPS) ) exit(1);
HepLorentzVector d9(d7); if ( !test(d9, d7, DEPS) ) exit(1);
HepLorentzVector f8(f7); if ( !test(f8, d7, FEPS) ) exit(1);
HepLorentzVector f9(d7); if ( !test(f9, d7, FEPS) ) exit(1);
HepLorentzVector d10(1.0, 1.0, 1.0, std::sqrt(3.0));
if ( !test(d10, d7, FEPS) ) exit(1);
HepLorentzVector f10(1.0, 1.0, 1.0, std::sqrt(3.0));
if ( !test(f10, f7, FEPS) ) exit(1);
HepLorentzVector d11(d3x+d3y+d3z, 1.0);
if ( !test(d11, 1.0, 1.0, 1.0, 1.0, DEPS) ) exit(1);
HepLorentzVector f11(d3x+d3y+d3z, 1.0);
if ( !test(f11, 1.0, 1.0, 1.0, 1.0, FEPS) ) exit(1);
// test input/output from a stream
std::cin >> d0; if ( !test(d0, 1.1, 2.2, 3.3, 4.4, DEPS) ) exit(1);
std::cin >> f0; if ( !test(f0, 4.0, 3.0, 2.0, 1.0, FEPS) ) exit(1);
std::cout << d0 << std::endl;
std::cout << f0 << std::endl;
// testing assignment
d6 = d7; if ( !test(d6, d7, DEPS) ) exit(2);
d6 = f7; if ( !test(d6, d7, FEPS) ) exit(2);
f6 = d7; if ( !test(f6, f7, FEPS) ) exit(2);
f6 = f7; if ( !test(f6, f7, FEPS) ) exit(2);
//testing addition and subtraction:
d11 = d3 + d7 + f3;
if ( !test(d11, 3.0, 3.0, 3.0, std::sqrt(27.0), FEPS) ) exit(4);
f11 = d3 + d7 + f3;
if ( !test(f11, 3.0, 3.0, 3.0, std::sqrt(27.0), FEPS) ) exit(4);
d11 += d3;
if ( !test(d11, 4.0, 4.0, 4.0, std::sqrt(48.0), FEPS) ) exit(4);
f11 += f3;
if ( !test(f11, 4.0, 4.0, 4.0, std::sqrt(48.0), FEPS) ) exit(4);
d11 = d3 + d7 - f3;
if ( !test(d11, 1.0, 1.0, 1.0, std::sqrt(3.0), FEPS) ) exit(4);
if ( !test(-d11, -1.0, -1.0, -1.0, -std::sqrt(3.0), FEPS) ) exit(4);
f11 = d3 + f7 - d3;
if ( !test(f11, 1.0, 1.0, 1.0, std::sqrt(3.0), FEPS) ) exit(4);
if ( !test(-f11, -1.0, -1.0, -1.0, -std::sqrt(3.0), FEPS) ) exit(4);
d11 -= d3;
if ( !test(d11, 0.0, 0.0, 0.0, 0.0, FEPS) ) exit(4);
f11 -= f3;
if ( !test(f11, 0.0, 0.0, 0.0, 0.0, FEPS) ) exit(4);
d11 = HepLorentzVector(1.0, 2.0, 3.0, 4.0);
d11 *= 2.;
if ( !test(d11, 2.0, 4.0, 6.0, 8.0, DEPS) ) exit(4);
d11 = 2.*HepLorentzVector(1.0, 2.0, 3.0, 4.0);
if ( !test(d11, 2.0, 4.0, 6.0, 8.0, DEPS) ) exit(4);
d11 = HepLorentzVector(1.0, 2.0, 3.0, 4.0)*2.;
if ( !test(d11, 2.0, 4.0, 6.0, 8.0, DEPS) ) exit(4);
// testing scalar products:
if ( !approx(d1 * d2, std::sqrt(2.0)-1.0, DEPS) ) exit(5);
if ( !approx(d3.dot(d7), 0.0, FEPS) ) exit(5);
if ( !approx(d2 * f1, std::sqrt(2.0)-1.0, FEPS) ) exit(5);
if ( !approx(f3.dot(d7), 0.0, FEPS) ) exit(5);
// testing components:
d11 = HepLorentzVector(1.0, 1.0, 1.0, std::sqrt(7.0));
if ( !approx(d11.mag2(), 4.0, DEPS) ) exit(6);
if ( !approx(d11.mag(), 2.0, DEPS) ) exit(6);
if ( !approx(Hep3Vector(d11).mag2(), 3.0, DEPS) ) exit(6);
if ( !approx(Hep3Vector(d11).mag(), std::sqrt(3.0), DEPS) ) exit(6);
if ( !approx(d11.perp2(), 2.0, DEPS) ) exit(6);
if ( !approx(d11.perp(), std::sqrt(2.0), DEPS) ) exit(6);
f11 = HepLorentzVector(1.0, 1.0, 1.0, std::sqrt(7.0));
if ( !approx(f11.mag2(), 4.0, FEPS) ) exit(6);
if ( !approx(f11.mag(), 2.0, FEPS) ) exit(6);
if ( !approx(f11.vect().mag2(), 3.0, FEPS) ) exit(6);
if ( !approx(f11.vect().mag(), std::sqrt(3.0), FEPS) ) exit(6);
if ( !approx(f11.perp2(), 2.0, FEPS) ) exit(6);
if ( !approx(f11.perp(), std::sqrt(2.0), FEPS) ) exit(6);
// testing boosts:
d5 = d3 = d1 = HepLorentzVector(1.0, 2.0, -1.0, 3.0);
d6 = d4 = d2 = HepLorentzVector(-1.0, 1.0, 2.0, 4.0);
double M = (d1 + d2).mag();
double dm1 = d1.mag();
double dm2 = d2.mag();
double p2 = (sqr(M)-sqr(dm1+dm2))*(sqr(M)-sqr(dm1-dm2))/(4.0*sqr(M));
d30 = -(d1 + d2).boostVector();
d1.boost(d30);
double phi = d1.phi();
double theta = d1.theta();
d1.rotateZ(-phi);
d1.rotateY(-theta);
HepRotation r;
r.rotateZ(-phi);
HepLorentzRotation r1(d30), r2(r), r3, r4, r5;
r3.rotateY(-theta);
r4 = r3 * r2 * r1;
d2 *= r4;
if ( !test(d1, 0.0, 0.0, std::sqrt(p2), std::sqrt(p2 + sqr(dm1)), DEPS) ) exit(7);
if ( !test(d2, 0.0, 0.0, -std::sqrt(p2), std::sqrt(p2 + sqr(dm2)), DEPS) ) exit(7);
d1.transform(r4.inverse());
if ( !test(d1, d3, DEPS) ) exit(7);
r5 *= r3;
r5 *= r;
r5 *= r1;
r5.invert();
d2 *= r5;
if ( !test(d2, d4, DEPS) ) exit(7);
r4 = r1;
r4.rotateZ(-phi);
r4.rotateY(-theta);
d3 *= r4;
d4 = r4 * d6;
if ( !test(d3, 0.0, 0.0, std::sqrt(p2), std::sqrt(p2 + sqr(dm1)), DEPS) ) exit(7);
if ( !test(d4, 0.0, 0.0, -std::sqrt(p2), std::sqrt(p2 + sqr(dm2)), DEPS) ) exit(7);
r5 = r1.inverse();
r5 *= r.inverse();
r5 *= r3.inverse();
d4.transform(r5);
d3.transform(r5);
if ( !test(d4, d6, DEPS) ) exit(7);
if ( !test(d3, d5, DEPS) ) exit(7);
r5 = r1;
r5.transform(r);
r5.transform(r3);
d4.transform(r5);
d3.transform(r5);
if ( !test(d3, 0.0, 0.0, std::sqrt(p2), std::sqrt(p2 + sqr(dm1)), DEPS) ) exit(7);
if ( !test(d4, 0.0, 0.0, -std::sqrt(p2), std::sqrt(p2 + sqr(dm2)), DEPS) ) exit(7);
return 0;
}
|
