GModelSpectralExpInvPlaw.hpp
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/***************************************************************************
* GModelSpectralExpInvPlaw.hpp - Exponential cut off power law model *
* ----------------------------------------------------------------------- *
* copyright (C) 2016 by Alexander Ziegler *
* ----------------------------------------------------------------------- *
* *
* 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 GModelSpectralExpInvPlaw.hpp
* @brief Exponential cut off power law spectral class interface definition
* @author Alexander Ziegler
*/
#ifndef GMODELSPECTRALEXPINVPLAW_HPP
#define GMODELSPECTRALEXPINVPLAW_HPP
/* __ Includes ___________________________________________________________ */
#include <string>
#include "GModelSpectral.hpp"
#include "GFunction.hpp"
#include "GModelPar.hpp"
#include "GEnergy.hpp"
/* __ Forward declarations _______________________________________________ */
class GRan;
class GTime;
class GXmlElement;
/***********************************************************************//**
* @class GModelSpectralExpInvPlaw
*
* @brief Exponential cut off power law spectral class
*
* This class implements a power law spectrum with exponential cut off. The
* model is defined by
*
* \f[
* S_{\rm E}(E | t) = {\tt m\_norm}
* \left( \frac{E}{\tt m\_pivot} \right)^{\tt m\_index}
* \exp \left( -{\tt m\_lambda}*E \right)
* \f]
*
* where
* - \f${\tt m\_norm}\f$ is the normalization or prefactor,
* - \f${\tt m\_pivot}\f$ is the pivot energy,
* - \f${\tt m\_index}\f$ is the spectral index, and
* - \f${\tt m\_lambda}\f$ is the cut-off parameter (1/cut-off energy).
***************************************************************************/
class GModelSpectralExpInvPlaw : public GModelSpectral {
public:
// Constructors and destructors
GModelSpectralExpInvPlaw(void);
GModelSpectralExpInvPlaw(const std::string& type,
const std::string& prefactor,
const std::string& index,
const std::string& pivot,
const std::string& lambda);
GModelSpectralExpInvPlaw(const double& prefactor,
const double& index,
const GEnergy& pivot,
const double& lambda);
GModelSpectralExpInvPlaw(const double& prefactor,
const double& index,
const GEnergy& pivot,
const GEnergy& cutoff);
explicit GModelSpectralExpInvPlaw(const GXmlElement& xml);
GModelSpectralExpInvPlaw(const GModelSpectralExpInvPlaw& model);
virtual ~GModelSpectralExpInvPlaw(void);
// Operators
virtual GModelSpectralExpInvPlaw& operator=(const GModelSpectralExpInvPlaw& model);
// Implemented pure virtual methods
virtual void clear(void);
virtual GModelSpectralExpInvPlaw* clone(void) const;
virtual std::string classname(void) const;
virtual std::string type(void) const;
virtual double eval(const GEnergy& srcEng,
const GTime& srcTime = GTime()) const;
virtual double eval_gradients(const GEnergy& srcEng,
const GTime& srcTime = GTime());
virtual double flux(const GEnergy& emin,
const GEnergy& emax) const;
virtual double eflux(const GEnergy& emin,
const GEnergy& emax) const;
virtual GEnergy mc(const GEnergy& emin,
const GEnergy& emax,
const GTime& time,
GRan& ran) const;
virtual void read(const GXmlElement& xml);
virtual void write(GXmlElement& xml) const;
virtual std::string print(const GChatter& chatter = NORMAL) const;
// Other methods
double prefactor(void) const;
void prefactor(const double& prefactor);
double index(void) const;
void index(const double& index);
double inverse_cutoff(void) const;
void inverse_cutoff(const double& lambda);
GEnergy cutoff(void) const;
void cutoff(const GEnergy& cutoff);
GEnergy pivot(void) const;
void pivot(const GEnergy& pivot);
protected:
// Protected methods
void init_members(void);
void copy_members(const GModelSpectralExpInvPlaw& model);
void free_members(void);
void update_eval_cache(const GEnergy& energy) const;
void update_mc_cache(const GEnergy& emin, const GEnergy& emax) const;
// Photon flux integration kernel
class flux_kernel : public GFunction {
public:
flux_kernel(const double& norm,
const double& index,
const double& pivot,
const double& lambda) :
m_norm(norm),
m_index(index),
m_inv_pivot(1.0/pivot),
m_lambda(lambda) {}
double eval(const double& eng);
protected:
double m_norm; //!< Normalization
double m_index; //!< Index
double m_inv_pivot; //!< 1 / Pivot energy
double m_lambda; //!< Cut-off parameter
};
// Energy flux integration kernel
class eflux_kernel : public GFunction {
public:
eflux_kernel(const double& norm,
const double& index,
const double& pivot,
const double& lambda) :
m_norm(norm),
m_index(index),
m_inv_pivot(1.0/pivot),
m_lambda(lambda) {}
double eval(const double& eng);
protected:
double m_norm; //!< Normalization
double m_index; //!< Index
double m_inv_pivot; //!< 1 / Pivot energy
double m_lambda; //!< Cut-off parameter
};
// Protected members
std::string m_type; //!< Model type
GModelPar m_norm; //!< Normalization factor
GModelPar m_index; //!< Spectral index
GModelPar m_lambda; //!< Cut-off parameter
GModelPar m_pivot; //!< Pivot energy
// Cached members used for pre-computations
mutable GEnergy m_last_energy; //!< Last energy value
mutable double m_last_index; //!< Last index parameter
mutable double m_last_lambda; //!< Last cut-off parameter
mutable double m_last_pivot; //!< Last pivot parameter
mutable double m_last_e_norm; //!< Last E/Epivot value
mutable double m_last_e_lambda; //!< Last E*lambda value
mutable double m_last_power; //!< Last power value
mutable double m_mc_emin; //!< Minimum energy
mutable double m_mc_emax; //!< Maximum energy
mutable double m_mc_exponent; //!< Exponent (index+1)
mutable double m_mc_pow_emin; //!< Power of minimum energy
mutable double m_mc_pow_ewidth; //!< Power of energy width
};
/***********************************************************************//**
* @brief Return class name
*
* @return String containing the class name ("GModelSpectralExpInvPlaw").
***************************************************************************/
inline
std::string GModelSpectralExpInvPlaw::classname(void) const
{
return ("GModelSpectralExpInvPlaw");
}
/***********************************************************************//**
* @brief Return model type
*
* @return Model type.
*
* Returns the type of the exponentially cut off power law model.
***************************************************************************/
inline
std::string GModelSpectralExpInvPlaw::type(void) const
{
return (m_type);
}
/***********************************************************************//**
* @brief Return pre factor
*
* @return Pre factor (ph/cm2/s/MeV).
*
* Returns the pre factor.
***************************************************************************/
inline
double GModelSpectralExpInvPlaw::prefactor(void) const
{
return (m_norm.value());
}
/***********************************************************************//**
* @brief Set pre factor
*
* @param[in] prefactor Pre factor (ph/cm2/s/MeV).
*
* Sets the pre factor.
***************************************************************************/
inline
void GModelSpectralExpInvPlaw::prefactor(const double& prefactor)
{
m_norm.value(prefactor);
return;
}
/***********************************************************************//**
* @brief Return power law index
*
* @return Power law index.
*
* Returns the power law index.
***************************************************************************/
inline
double GModelSpectralExpInvPlaw::index(void) const
{
return (m_index.value());
}
/***********************************************************************//**
* @brief Set power law index
*
* @param[in] index Power law index.
*
* Sets the power law index.
***************************************************************************/
inline
void GModelSpectralExpInvPlaw::index(const double& index)
{
m_index.value(index);
return;
}
/***********************************************************************//**
* @brief Return pivot energy
*
* @return Pivot energy.
*
* Returns the pivot energy.
***************************************************************************/
inline
GEnergy GModelSpectralExpInvPlaw::pivot(void) const
{
GEnergy energy;
energy.MeV(m_pivot.value());
return energy;
}
/***********************************************************************//**
* @brief Set pivot energy
*
* @param[in] pivot Pivot energy.
*
* Sets the pivot energy.
***************************************************************************/
inline
void GModelSpectralExpInvPlaw::pivot(const GEnergy& pivot)
{
m_pivot.value(pivot.MeV());
return;
}
/***********************************************************************//**
* @brief Return exponential cut-off parameter
*
* @return Exponential cut-off parameter.
*
* Returns the exponential cut-off parameter.
***************************************************************************/
inline
double GModelSpectralExpInvPlaw::inverse_cutoff(void) const
{
return (m_lambda.value());
}
/***********************************************************************//**
* @brief Set exponential cut-off parameter
*
* @param[in] lambda Exponential cut-off parameter.
*
* Sets the exponential cut-off parameter.
***************************************************************************/
inline
void GModelSpectralExpInvPlaw::inverse_cutoff(const double& lambda)
{
m_lambda.value(lambda);
return;
}
/***********************************************************************//**
* @brief Return cut-off energy
*
* @return Exponential cut-off energy.
*
* Returns the exponential cut-off energy as derived from the cut-off
* parameter.
***************************************************************************/
inline
GEnergy GModelSpectralExpInvPlaw::cutoff(void) const
{
GEnergy cutoff;
cutoff.MeV(1.0/m_lambda.value());
return cutoff;
}
/***********************************************************************//**
* @brief Set exponential cut-off energy
*
* @param[in] cutoff Exponential cut-off energy.
*
* Sets the exponential cut-off parameter from the cut-off energy.
***************************************************************************/
inline
void GModelSpectralExpInvPlaw::cutoff(const GEnergy& cutoff)
{
m_lambda.value(1.0/cutoff.MeV());
return;
}
#endif /* GMODELSPECTRALEXPINVPLAW_HPP */