com_helpers_response_vector.cpp
7.75 KB
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
/***************************************************************************
* COMPTEL helper classes for vector response *
* ----------------------------------------------------------------------- *
* copyright (C) 2021 by Juergen Knoedlseder *
* ----------------------------------------------------------------------- *
* *
* This program is free software: you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation, either version 3 of the License, or *
* (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <http://www.gnu.org/licenses/>. *
* *
***************************************************************************/
/**
* @file com_helpers_response_vector.cpp
* @brief Implementation of COMPTEL helper classes for vector response
* @author Juergen Knoedlseder
*/
/* __ Includes ___________________________________________________________ */
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <cmath>
#include "com_helpers_response_vector.hpp"
#include "GCOMResponse.hpp"
#include "GIntegral.hpp"
#include "GIntegrals.hpp"
/* __ Method name definitions ____________________________________________ */
/* __ Macros _____________________________________________________________ */
/* __ Coding definitions _________________________________________________ */
/* __ Debug definitions __________________________________________________ */
/* __ Constants __________________________________________________________ */
/*==========================================================================
= =
= Helper methods =
= =
==========================================================================*/
/***********************************************************************//**
* @brief Kernel for radial integration of extended model
*
* @param[in] phigeo Phigeo angle (radians).
* @return Azimuthally integrated extended model.
***************************************************************************/
GVector com_extended_kerns_phigeo::eval(const double& phigeo)
{
// Initialise kernel values
m_irfs = 0.0;
// Continue only if phigeo is positive
if (phigeo > 0.0) {
// Compute half length of the arc (in radians) from a circle with
// radius phigeo that intersects with the model, defined as a
// circle with maximum radius m_theta_max
double dphi = 0.5 * gammalib::roi_arclength(phigeo,
m_zeta,
m_cos_zeta,
m_sin_zeta,
m_theta_max,
m_cos_theta_max);
// Continue only if arc length is positive
if (dphi > 0.0) {
// Compute sine and cosine of Phigeo
double sin_phigeo = std::sin(phigeo);
double cos_phigeo = std::cos(phigeo);
// Compute phi integration range
double phi_min = m_phi0 - dphi;
double phi_max = m_phi0 + dphi;
// Precompute interpolated IAQ vector for Phigeo angle
double phirat = phigeo / m_phigeo_bin_size; // 0.5 at bin centre
int iphigeo = int(phirat); // index into which Phigeo falls
double eps = phirat - iphigeo - 0.5; // 0.0 at bin centre [-0.5, 0.5[
// Continue only if Phigeo index is valid
if (iphigeo < m_phigeo_bins) {
// Setup kernel for azimuthal integration
com_extended_kerns_phi integrand(m_model,
m_srcEng,
m_srcTime,
m_rot,
m_drx,
sin_phigeo,
cos_phigeo);
// Setup integrator
GIntegral integral(&integrand);
integral.fixed_iter(m_iter);
// Integrate over azimuth angle
double irf = integral.romberg(phi_min, phi_max, m_iter) * sin_phigeo;
// Multiply result with IAQ for all Phibar layers
for (int iphibar = 0; iphibar < m_phibar_bins; ++iphibar) {
// Initialise IAQ
double iaq;
// Get IAQ index
int i = iphibar * m_phigeo_bins + iphigeo;
// Get interpolated IAQ value
if (eps < 0.0) { // interpolate towards left
if (iphigeo > 0) {
iaq = (1.0 + eps) * m_iaq[i] - eps * m_iaq[i-1];
}
else {
iaq = (1.0 - eps) * m_iaq[i] + eps * m_iaq[i+1];
}
}
else { // interpolate towards right
if (iphigeo < m_phigeo_bins-1) {
iaq = (1.0 - eps) * m_iaq[i] + eps * m_iaq[i+1];
}
else {
iaq = (1.0 + eps) * m_iaq[i] - eps * m_iaq[i-1];
}
}
// Compute IRF
m_irfs[iphibar] = irf * iaq * m_iaq_norm;
} // endfor: looped over Phibar
} // endif: Phigeo bin was valid
} // endif: arc length was positive
} // endif: phigeo was positive
// Return kernel values
return m_irfs;
}
/***********************************************************************//**
* @brief Kernel for azimuthal integration of extended model
*
* @param[in] phi Azimuth angle (radians).
* @return Vector of azimuthally integrated model.
***************************************************************************/
double com_extended_kerns_phi::eval(const double& phi)
{
// Compute sine and cosine of azimuth angle
double sin_phi = std::sin(phi);
double cos_phi = std::cos(phi);
// Get sky direction
GVector native(-cos_phi*m_sin_phigeo, sin_phi*m_sin_phigeo, m_cos_phigeo);
GVector dir = m_rot * native;
GSkyDir skyDir;
skyDir.celvector(dir);
// Set photon
GPhoton photon(skyDir, m_srcEng, m_srcTime);
// Get model sky intensity for photon (unit: sr^-1)
double intensity = m_model.spatial()->eval(photon);
// Continue only if intensity is positive
if (intensity > 0.0) {
// Multiply-in DRX value if pointer is valid
if (m_drx != NULL) {
intensity *= (*m_drx)(skyDir);
}
} // endif: intensity was valid
// Return kernel values
return intensity;
}