com_helpers_response_vector.cpp
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/***************************************************************************
* 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 radial models
*
* @param[in] rho Rho angle (radians).
* @return Azimuthally integrated radial model.
***************************************************************************/
GVector com_radial_kerns_rho::eval(const double& rho)
{
// Initialise kernel values
m_irfs = 0.0;
// Continue only if rho is positive
if (rho > 0.0) {
// Compute radial model value
double model = m_model.eval(rho, m_bin->energy(), m_bin->time());
// Continue only if model is positive
if (model > 0.0) {
// Precompute cosine and sine terms for azimuthal integration
double sin_rho = std::sin(rho);
double cos_rho = std::cos(rho);
// Setup azimuthal integration kernel
com_radial_kerns_omega integrands(m_iaq,
m_irfs,
m_bin,
m_rot,
m_drx,
m_phigeo_bin_size,
m_phigeo_bins,
m_phibar_bins,
sin_rho,
cos_rho);
// Setup integrator
GIntegrals integral(&integrands);
integral.fixed_iter(m_iter);
// Integrate over Omega angle
m_irfs = integral.romberg(0.0, gammalib::twopi, m_iter) *
model * sin_rho;
} // endif: radial model was positive
} // endif: phigeo was positive
// Return kernel values
return m_irfs;
}
/***********************************************************************//**
* @brief Kernel for azimuthal integration of radial models
*
* @param[in] omega Omega angle (radians).
* @return Kernel value for radial model.
***************************************************************************/
GVector com_radial_kerns_omega::eval(const double& omega)
{
// Initialise kernel values
m_irfs = 0.0;
// Compute sine and cosine of azimuth angle
double sin_omega = std::sin(omega);
double cos_omega = std::cos(omega);
// Get sky direction
GVector native(-cos_omega*m_sin_rho, sin_omega*m_sin_rho, m_cos_rho);
GVector dir = m_rot * native;
GSkyDir skyDir;
skyDir.celvector(dir);
// Compute Phigeo of current position
double phigeo = m_bin->dir().dir().dist(skyDir);
// 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) {
// Get DRX value
double intensity = m_drx(skyDir);
// Multiply result with IAQ for all Phibar layers
for (int iphibar = 0; iphibar < m_phibar_bins; ++iphibar) {
// Initialise IAQ
double iaq = 0.0;
// 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];
}
}
// If interpolated IAQ value is positive then compute IRF value
if (iaq > 0.0) {
m_irfs[iphibar] = intensity * iaq;
}
} // endfor: looped over Phibar
} // endif: Phigeo index was valid
// Return kernel values
return m_irfs;
}
/***********************************************************************//**
* @brief Kernel for radial integration of elliptical models
*
* @param[in] rho Rho angle (radians).
* @return Azimuthally integrated elliptical model.
***************************************************************************/
GVector com_elliptical_kerns_rho::eval(const double& rho)
{
// Initialise kernel values
m_irfs = 0.0;
// Continue only if rho is positive
if (rho > 0.0) {
// Precompute cosine and sine terms for azimuthal integration
double sin_rho = std::sin(rho);
double cos_rho = std::cos(rho);
// Setup azimuthal integration kernel
com_elliptical_kerns_omega integrands(m_iaq,
m_model,
m_irfs,
m_bin,
m_rot,
m_drx,
m_phigeo_bin_size,
m_phigeo_bins,
m_phibar_bins,
sin_rho,
cos_rho);
// Setup integrator
GIntegrals integral(&integrands);
integral.fixed_iter(m_iter);
// Integrate over Omega angle
m_irfs = integral.romberg(0.0, gammalib::twopi, m_iter) * sin_rho;
} // endif: phigeo was positive
// Return kernel values
return m_irfs;
}
/***********************************************************************//**
* @brief Kernel for azimuthal integration of elliptical models
*
* @param[in] omega Omega angle (radians).
* @return Kernel value for elliptical model.
***************************************************************************/
GVector com_elliptical_kerns_omega::eval(const double& omega)
{
// Initialise kernel values
m_irfs = 0.0;
// Compute sine and cosine of azimuth angle
double sin_omega = std::sin(omega);
double cos_omega = std::cos(omega);
// Get sky direction
GVector native(-cos_omega*m_sin_rho, sin_omega*m_sin_rho, m_cos_rho);
GVector dir = m_rot * native;
GSkyDir skyDir;
skyDir.celvector(dir);
// Compute Phigeo of current position
double phigeo = m_bin->dir().dir().dist(skyDir);
// 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) {
// Set photon
GPhoton photon(skyDir, m_bin->energy(), m_bin->time());
// 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
intensity *= m_drx(skyDir);
// Multiply result with IAQ for all Phibar layers
for (int iphibar = 0; iphibar < m_phibar_bins; ++iphibar) {
// Initialise IAQ
double iaq = 0.0;
// 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];
}
}
// If interpolated IAQ value is positive then compute IRF value
if (iaq > 0.0) {
m_irfs[iphibar] = intensity * iaq;
}
} // endfor: looped over Phibar
} // endif: intensity was valid
} // endif: Phigeo index was valid
// Return kernel values
return m_irfs;
}