GCTAEdisp2D.cpp
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/***************************************************************************
* GCTAEdisp2D.cpp - CTA 2D energy dispersion class *
* ----------------------------------------------------------------------- *
* copyright (C) 2015 by Florent Forest *
* ----------------------------------------------------------------------- *
* *
* 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 GCTAEdisp2D.cpp
* @brief CTA 2D energy dispersion class implementation
* @author Florent Forest
*/
/* __ Includes ___________________________________________________________ */
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <cmath>
#include <vector>
#include "GTools.hpp"
#include "GMath.hpp"
#include "GIntegral.hpp"
#include "GFilename.hpp"
#include "GFits.hpp"
#include "GFitsTable.hpp"
#include "GFitsBinTable.hpp"
#include "GCTAEdisp2D.hpp"
/* __ Method name definitions ____________________________________________ */
/* __ Macros _____________________________________________________________ */
/* __ Coding definitions _________________________________________________ */
/* __ Debug definitions __________________________________________________ */
/* __ Constants __________________________________________________________ */
/*==========================================================================
= =
= Constructors/destructors =
= =
==========================================================================*/
/***********************************************************************//**
* @brief Void constructor
***************************************************************************/
GCTAEdisp2D::GCTAEdisp2D(void) : GCTAEdisp()
{
// Initialise class members
init_members();
// Return
return;
}
/***********************************************************************//**
* @brief File constructor
*
* @param[in] filename FITS file name.
*
* Constructs energy dispersion from a FITS file.
***************************************************************************/
GCTAEdisp2D::GCTAEdisp2D(const std::string& filename) : GCTAEdisp()
{
// Initialise class members
init_members();
// Load energy dispersion from file
load(filename);
// Return
return;
}
/***********************************************************************//**
* @brief Copy constructor
*
* @param[in] edisp Energy dispersion.
***************************************************************************/
GCTAEdisp2D::GCTAEdisp2D(const GCTAEdisp2D& edisp) : GCTAEdisp(edisp)
{
// Initialise class members
init_members();
// Copy members
copy_members(edisp);
// Return
return;
}
/***********************************************************************//**
* @brief Destructor
***************************************************************************/
GCTAEdisp2D::~GCTAEdisp2D(void)
{
// Free members
free_members();
// Return
return;
}
/*==========================================================================
= =
= Operators =
= =
==========================================================================*/
/***********************************************************************//**
* @brief Assignment operator
*
* @param[in] edisp Energy dispersion.
* @return Energy dispersion.
***************************************************************************/
GCTAEdisp2D& GCTAEdisp2D::operator=(const GCTAEdisp2D& edisp)
{
// Execute only if object is not identical
if (this != &edisp) {
// Copy base class members
this->GCTAEdisp::operator=(edisp);
// Free members
free_members();
// Initialise private members
init_members();
// Copy members
copy_members(edisp);
} // endif: object was not identical
// Return this object
return *this;
}
/***********************************************************************//**
* @brief Return energy dispersion in units of s^-1 MeV^-1
*
* @param[in] logEobs Log10 of the measured energy (TeV).
* @param[in] logEsrc Log10 of the true photon energy (TeV).
* @param[in] theta Offset angle in camera system (rad). Defaults to 0.0.
* @param[in] phi Azimuth angle in camera system (rad). Not used in this method.
* @param[in] zenith Zenith angle in Earth system (rad). Not used in this method.
* @param[in] azimuth Azimuth angle in Earth system (rad). Not used in this method.
*
* Returns the energy dispersion in units of s^-1 MeV^-1 for a given observed
* energy @p logEobs, true photon energy @p logEsrc and offset angle
* @p theta.
***************************************************************************/
double GCTAEdisp2D::operator()(const double& logEobs,
const double& logEsrc,
const double& theta,
const double& phi,
const double& zenith,
const double& azimuth) const
{
// Initalize edisp
double edisp = 0.0;
// Compute Eobs/Esrc
double EobsOverEsrc = std::exp((logEobs-logEsrc) * gammalib::ln10);
// Compute edisp
edisp = m_edisp(0, logEsrc, EobsOverEsrc, theta);
// Return
return edisp;
}
/*==========================================================================
= =
= Public methods =
= =
==========================================================================*/
/***********************************************************************//**
* @brief Clear instance
*
* This method properly resets the object to an initial state.
***************************************************************************/
void GCTAEdisp2D::clear(void)
{
// Free class members (base and derived classes, derived class first)
free_members();
this->GCTAEdisp::free_members();
// Initialise members
this->GCTAEdisp::init_members();
init_members();
// Return
return;
}
/***********************************************************************//**
* @brief Clone instance
*
* @return Deep copy of energy dispersion instance.
***************************************************************************/
GCTAEdisp2D* GCTAEdisp2D::clone(void) const
{
return new GCTAEdisp2D(*this);
}
/***********************************************************************//**
* @brief Load energy dispersion from FITS file
*
* @param[in] filename FITS file name.
*
* Loads the energy dispersion from a FITS file.
*
* If no extension name is provided, the energy dispersion will be loaded
* from the "ENERGY DISPERSION" extension.
***************************************************************************/
void GCTAEdisp2D::load(const std::string& filename)
{
// Create file name
GFilename fname(filename);
// Allocate FITS file
GFits file;
// Open FITS file
file.open(fname.filename());
// Get energy dispersion table
const GFitsTable& table = *file.table(fname.extname("ENERGY DISPERSION"));
// Read energy dispersion from table
read(table);
// Close FITS file
file.close();
// Return
return;
}
/***********************************************************************//**
* @brief Read energy dispersion from FITS table
*
* @param[in] fits FITS table.
*
* Reads the energy dispersion form the FITS @p table.
*
* The data are stored in m_edisp which is of type GCTAResponseTable. The
* energy axis will be set to log10, the offset angle axis to radians.
*
* The method assures that the energy dispersion is properly normalised.
***************************************************************************/
void GCTAEdisp2D::read(const GFitsTable& table)
{
// Clear response table
m_edisp.clear();
// Read energy dispersion table
m_edisp.read(table);
// Set true energy axis to logarithmic scale
m_edisp.axis_log10(0);
// Set offset angle axis to radians
m_edisp.axis_radians(2);
// Get axes dimensions
int etrue_size = m_edisp.axis(0);
int migra_size = m_edisp.axis(1);
int theta_size = m_edisp.axis(2);
// Now normalize the migration matrix vectors. We do this by integrating
// for each true energy and offset angle the measured energy. We perform
// here two passes as the ebounds_obs() method depends on the content of
// the matrix, and by having two passes we are sure that we get a
// consistent energy interval.
for (int pass = 0; pass < 2; ++pass) {
// Initialise sums
std::vector<double> sums;
sums.reserve(theta_size*etrue_size);
// Loop over offset angle.
for (int i_theta = 0; i_theta < theta_size; ++i_theta) {
// Get offset angle (in radians)
double theta = 0.5 * (m_edisp.axis_lo(2,i_theta) +
m_edisp.axis_hi(2,i_theta)) *
gammalib::deg2rad;
// Loop over true photon energy
for (int i_etrue = 0; i_etrue < etrue_size; ++i_etrue) {
// Get energy
double emin = std::log10(m_edisp.axis_lo(0,i_etrue));
double emax = std::log10(m_edisp.axis_hi(0,i_etrue));
double logEsrc = 0.5*(emin+emax);
// Initialise integration
double sum = 0.0;
// Get integration boundaries
GEbounds ebounds = ebounds_obs(logEsrc, theta);
// Loop over all energy intervals
for (int i = 0; i < ebounds.size(); ++i) {
// Get energy boundaries
emin = ebounds.emin(i).log10TeV();
emax = ebounds.emax(i).log10TeV();
// Setup integration function
edisp_kern integrand(this, logEsrc, theta);
GIntegral integral(&integrand);
// Set integration precision
integral.eps(1.0e-6);
// Do Romberg integration
sum += integral.romberg(emin, emax);
} // endfor: looped over energy intervals
// Store sum
sums.push_back(sum);
} // endfor: looped over Etrue
} // endfor: looped over theta
// Normalize vectors of migration matrix for all etrue and theta.
for (int i_theta = 0, inx = 0; i_theta < theta_size; ++i_theta) {
for (int i_etrue = 0; i_etrue < etrue_size; ++i_etrue, ++inx) {
double sum = sums[inx];
if (sum > 0.0) {
int offset = i_etrue + (i_theta*migra_size) * etrue_size;
for (int k = 0, i = offset; k < migra_size; ++k, i += etrue_size) {
m_edisp(0,i) /= sum;
}
}
}
}
} // endfor: made 2 passes
// Set maximum energy dispersion value
set_max_edisp();
// Return
return;
}
/***********************************************************************//**
* @brief Write energy dispersion into FITS binary table
*
* @param[in] table FITS binary table.
*
* Writes the energy dispersion into the FITS binary @p table.
*
* @todo Add keywords.
***************************************************************************/
void GCTAEdisp2D::write(GFitsBinTable& table) const
{
// Write background table
m_edisp.write(table);
// Return
return;
}
/***********************************************************************//**
* @brief Save energy dispersion table into FITS file
*
* @param[in] filename FITS file name.
* @param[in] clobber Overwrite existing file? (default: false)
*
* Save the energy dispersion table into FITS file.
*
* If no extension name is provided, the energy dispersion will be saved into
* the "ENERGY DISPERSION" extension.
***************************************************************************/
void GCTAEdisp2D::save(const std::string& filename, const bool& clobber) const
{
// Create file name
GFilename fname(filename);
// Create binary table
GFitsBinTable table;
table.extname(fname.extname("ENERGY DISPERSION"));
// Write the energy dispersion table
write(table);
// Create FITS file, append table, and write into the file
GFits fits;
fits.append(table);
fits.saveto(fname.filename(), clobber);
// Return
return;
}
/***********************************************************************//**
* @brief Simulate energy dispersion
*
* @param[in] ran Random number generator.
* @param[in] logEsrc Log10 of the true photon energy (TeV).
* @param[in] theta Offset angle in camera system (rad).
* @param[in] phi Azimuth angle in camera system (rad).
* @param[in] zenith Zenith angle in Earth system (rad).
* @param[in] azimuth Azimuth angle in Earth system (rad).
*
* Draws observed energy value given a true energy @p logEsrc and offset
* angle @p theta.
***************************************************************************/
GEnergy GCTAEdisp2D::mc(GRan& ran,
const double& logEsrc,
const double& theta,
const double& phi,
const double& zenith,
const double& azimuth) const
{
// Get boundaries for observed energy
GEbounds ebounds = ebounds_obs(logEsrc, theta, phi, zenith, azimuth);
double emin = ebounds.emin().log10TeV();
double emax = ebounds.emax().log10TeV();
// Find energy by rejection method
double ewidth = emax - emin;
double logEobs = 0.5*(emin+emax);
if (m_max_edisp > 0.0) {
double f = 0.0;
double ftest = 1.0;
while (ftest > f) {
logEobs = emin + ewidth * ran.uniform();
f = operator()(logEobs, logEsrc, theta, phi, zenith, azimuth);
ftest = ran.uniform() * m_max_edisp;
}
}
// Set observed energy
GEnergy energy;
energy.log10TeV(logEobs);
// Return energy
return energy;
}
/***********************************************************************//**
* @brief Return observed energy interval that contains the energy dispersion.
*
* @param[in] logEsrc Log10 of the true photon energy (TeV).
* @param[in] theta Offset angle in camera system (rad).
* @param[in] phi Azimuth angle in camera system (rad). Not used.
* @param[in] zenith Zenith angle in Earth system (rad). Not used.
* @param[in] azimuth Azimuth angle in Earth system (rad). Not used.
*
* Returns the band of observed energies outside of which the energy
* dispersion becomes negligible for a given true energy @p logEsrc and
* offset angle @p theta. An energy is considered negligible if inferior
* to 1e-6.
***************************************************************************/
GEbounds GCTAEdisp2D::ebounds_obs(const double& logEsrc,
const double& theta,
const double& phi,
const double& zenith,
const double& azimuth) const
{
// Compute only if parameters changed
if (!m_ebounds_obs_computed || theta != m_last_theta_obs) {
// Set computation flag
m_ebounds_obs_computed = true;
m_last_theta_obs = theta;
// Compute ebounds_obs
compute_ebounds_obs(theta, phi, zenith, azimuth);
}
// Search index only if logEsrc has changed
if (logEsrc != m_last_logEsrc) {
// Store last log(Esrc)
m_last_logEsrc = logEsrc;
// Find right index with bisection
int low = 0;
int high = m_ebounds_obs.size() - 1;
while ((high-low) > 1) {
int mid = (low+high) / 2;
double e = m_edisp.axis_lo(0, mid);
if (logEsrc < std::log10(e)) {
high = mid;
}
else {
low = mid;
}
}
// Index found
m_index_obs = low;
}
// Return energy boundaries
return m_ebounds_obs[m_index_obs];
}
/***********************************************************************//**
* @brief Return true energy interval that contains the energy dispersion.
*
* @param[in] logEobs Log10 of the observed event energy (TeV).
* @param[in] theta Offset angle in camera system (rad).
* @param[in] phi Azimuth angle in camera system (rad). Not used.
* @param[in] zenith Zenith angle in Earth system (rad). Not used.
* @param[in] azimuth Azimuth angle in Earth system (rad). Not used.
*
* Returns the band of true photon energies outside of which the energy
* dispersion becomes negligible for a given observed energy @p logEobs and
* offset angle @p theta. An energy in considered negligible if inferior to
* 1e-6.
***************************************************************************/
GEbounds GCTAEdisp2D::ebounds_src(const double& logEobs,
const double& theta,
const double& phi,
const double& zenith,
const double& azimuth) const
{
// Compute only if parameters changed
if (!m_ebounds_src_computed || theta != m_last_theta_src) {
// Set computation flag
m_ebounds_src_computed = true;
m_last_theta_src = theta;
// Compute ebounds_src
compute_ebounds_src(theta, phi, zenith, azimuth);
}
// Search index only if logEobs has changed
if (logEobs != m_last_logEobs) {
// Store observed energy
m_last_logEobs = logEobs;
// Find right index with bisection
int low = 0;
int high = m_ebounds_src.size() - 1;
while ((high-low) > 1) {
int mid = (low+high) / 2;
double e = m_edisp.axis_lo(0, mid);
if (logEobs < std::log10(e)) {
high = mid;
}
else {
low = mid;
}
}
// Index found
m_index_src = low;
}
// Return energy boundaries
return m_ebounds_src[m_index_src];
}
/***********************************************************************//**
* @brief Print energy dispersion information
*
* @param[in] chatter Chattiness (defaults to NORMAL).
* @return String containing energy dispersion information.
***************************************************************************/
std::string GCTAEdisp2D::print(const GChatter& chatter) const
{
// Initialise result string
std::string result;
// Continue only if chatter is not silent
if (chatter != SILENT) {
// Compute energy boundaries in TeV
double emin = m_edisp.axis_lo(0,0);
double emax = m_edisp.axis_hi(0,m_edisp.axis(0)-1);
// Compute offset angle boundaries in deg
double omin = m_edisp.axis_lo(1,0);
double omax = m_edisp.axis_hi(1,m_edisp.axis(1)-1);
// Append header
result.append("=== GCTAEdisp2D ===");
// Append information
result.append("\n"+gammalib::parformat("Filename")+m_filename);
result.append("\n"+gammalib::parformat("Number of energy bins") +
gammalib::str(m_edisp.axis(0)));
result.append("\n"+gammalib::parformat("Number of offset bins") +
gammalib::str(m_edisp.axis(1)));
result.append("\n"+gammalib::parformat("Log10(Energy) range"));
result.append(gammalib::str(emin)+" - "+gammalib::str(emax)+" TeV");
result.append("\n"+gammalib::parformat("Offset angle range"));
result.append(gammalib::str(omin)+" - "+gammalib::str(omax)+" deg");
} // endif: chatter was not silent
// Return result
return result;
}
/*==========================================================================
= =
= Private methods =
= =
==========================================================================*/
/***********************************************************************//**
* @brief Initialise class members
***************************************************************************/
void GCTAEdisp2D::init_members(void)
{
// Initialise members
m_filename.clear();
m_edisp.clear();
// Initialise computation cache
m_ebounds_obs_computed = false;
m_ebounds_src_computed = false;
m_last_theta_obs = -1.0;
m_last_theta_src = -1.0;
m_last_logEsrc = -30.0;
m_last_logEobs = -30.0;
m_index_obs = 0;
m_index_src = 0;
m_max_edisp = 0.0;
m_ebounds_obs.clear();
m_ebounds_src.clear();
// Return
return;
}
/***********************************************************************//**
* @brief Copy class members
*
* @param[in] edisp Energy dispersion.
***************************************************************************/
void GCTAEdisp2D::copy_members(const GCTAEdisp2D& edisp)
{
// Copy members
m_filename = edisp.m_filename;
m_edisp = edisp.m_edisp;
// Copy computation cache
m_ebounds_obs_computed = edisp.m_ebounds_obs_computed;
m_ebounds_src_computed = edisp.m_ebounds_src_computed;
m_last_theta_obs = edisp.m_last_theta_obs;
m_last_theta_src = edisp.m_last_theta_src;
m_last_logEsrc = edisp.m_last_logEsrc;
m_last_logEobs = edisp.m_last_logEobs;
m_index_obs = edisp.m_index_obs;
m_index_src = edisp.m_index_src;
m_max_edisp = edisp.m_max_edisp;
m_ebounds_obs = edisp.m_ebounds_obs;
m_ebounds_src = edisp.m_ebounds_src;
// Return
return;
}
/***********************************************************************//**
* @brief Delete class members
***************************************************************************/
void GCTAEdisp2D::free_members(void)
{
// Return
return;
}
/***********************************************************************//**
* @brief Compute ebounds_obs vector
*
* @param[in] theta Offset angle (rad).
* @param[in] phi Azimuth angle (rad).
* @param[in] zenith Zenith angle (rad).
* @param[in] azimuth Azimuth angle (rad).
***************************************************************************/
void GCTAEdisp2D::compute_ebounds_obs(const double& theta,
const double& phi,
const double& zenith,
const double& azimuth) const
{
// Clear ebounds_obs vector
m_ebounds_obs.clear();
// Set epsilon
const double eps = 1.0e-12;
// Loop over Esrc
for (int isrc = 0; isrc < m_edisp.axis(0); ++isrc) {
// Set Esrc
double Esrc = std::sqrt(m_edisp.axis_hi(0, isrc) *
m_edisp.axis_lo(0, isrc));
double logEsrc = std::log10(Esrc);
// Initialise results
double logEobsMin = -30.0;
double logEobsMax = 10.0;
bool minFound = false;
bool maxFound = false;
// Find boundaries, loop over EobsOverEsrc
for (int i = 0; i < m_edisp.axis(1); ++i) {
// Compute value EobsOverEsrc
double EobsOverEsrc = 0.5 * (m_edisp.axis_hi(1, i) +
m_edisp.axis_lo(1, i));
// Find first non-negligible matrix term
if (!minFound && m_edisp(0, logEsrc, EobsOverEsrc, theta) >= eps) {
minFound = true;
logEobsMin = std::log10(EobsOverEsrc * Esrc);
}
// Find last non-negligible matrix term
else if (minFound && !maxFound &&
m_edisp(0, logEsrc, EobsOverEsrc, theta) < eps) {
maxFound = true;
logEobsMax = std::log10(EobsOverEsrc * Esrc);
}
// Continue searching
else if (minFound && maxFound &&
m_edisp(0, logEsrc, EobsOverEsrc, theta) >= eps) {
maxFound = false;
}
} // endfor: looped over EobsOverEsrc
// If energy dispersion has never become negligible until end of loop,
// reset logEobsMax
if (!maxFound) {
logEobsMax = 10.0;
}
// Set energy boundaries
GEnergy emin;
GEnergy emax;
emin.log10TeV(logEobsMin);
emax.log10TeV(logEobsMax);
// Add energy boundaries to vector
m_ebounds_obs.push_back(GEbounds(emin, emax));
} // endfor: looped over logEsrc
// Return
return;
}
/***********************************************************************//**
* @brief Compute ebounds_src vector
*
* @param[in] theta Offset angle (rad).
* @param[in] phi Azimuth angle (rad).
* @param[in] zenith Zenith angle (rad).
* @param[in] azimuth Azimuth angle (rad).
***************************************************************************/
void GCTAEdisp2D::compute_ebounds_src(const double& theta,
const double& phi,
const double& zenith,
const double& azimuth) const
{
// Clear ebounds_src vector
m_ebounds_src.clear();
// Set epsilon
const double eps = 1.0e-12;
// Loop over Eobs
for (int iobs = 0; iobs < m_edisp.axis(0); ++iobs) {
// Set Eobs
double Eobs = std::sqrt(m_edisp.axis_hi(0, iobs) *
m_edisp.axis_lo(0, iobs));
double logEobs = std::log10(Eobs);
// Initialise results
double logEsrcMin = -10.0;
double logEsrcMax = 30.0;
bool minFound = false;
bool maxFound = false;
// Find boundaries, loop over Esrc
for (int isrc = 0; isrc < m_edisp.axis(0); ++isrc) {
// Set Esrc
double Esrc = std::sqrt(m_edisp.axis_hi(0, isrc) *
m_edisp.axis_lo(0, isrc));
double logEsrc = std::log10(Esrc);
// Find first non-negligible matrix term
if (!minFound && operator()(logEobs, logEsrc, theta) >= eps) {
minFound = true;
logEsrcMin = logEsrc;
}
// Find last non-negligible matrix term
else if (minFound && !maxFound &&
operator()(logEobs, logEsrc, theta) < eps) {
maxFound = true;
logEsrcMax = logEsrc;
}
// Continue
else if (minFound && maxFound &&
operator()(logEobs, logEsrc, theta) >= eps) {
maxFound = false;
}
} // endfor: looped over true energy
// If energy dispersion has never become negligible until end of loop,
// reset logEobsMax
if (!maxFound) {
logEsrcMax = 30.0;
}
// Set energy boundaries
GEnergy emin;
GEnergy emax;
emin.log10TeV(logEsrcMin);
emax.log10TeV(logEsrcMax);
// Add energy boundaries to vector
m_ebounds_src.push_back(GEbounds(emin, emax));
} // endfor : loopend over observed energy
// Return
return;
}
/***********************************************************************//**
* @brief Set maximum energy dispersion value
***************************************************************************/
void GCTAEdisp2D::set_max_edisp(void) const
{
// Initialise maximum
m_max_edisp = 0.0;
// Loop over all response table elements
for (int i = 0; i < m_edisp.elements(); ++i) {
double value = m_edisp(0,i);
if (value > m_max_edisp) {
m_max_edisp = value;
}
}
// Return
return;
}
/***********************************************************************//**
* @brief Integration kernel for edisp_kern() class
*
* @param[in] x Function value.
*
* This method implements the integration kernel needed for the edisp_kern()
* class.
***************************************************************************/
double GCTAEdisp2D::edisp_kern::eval(const double& x)
{
// Get function value
double value = m_parent->operator()(x, m_logEsrc, m_theta);
// Compile option: Check for NaN
#if defined(G_NAN_CHECK)
if (gammalib::is_notanumber(value) || gammalib::is_infinite(value)) {
std::cout << "*** ERROR: GCTAEdisp2D::edisp_kern::eval";
std::cout << "(x=" << x << "): ";
std::cout << " NaN/Inf encountered";
std::cout << " (value=" << value;
std::cout << ")" << std::endl;
}
#endif
// Return value
return value;
}