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* Definition of Lorene class Hot_eos.
*
*/
/*
* Copyright (c) 2015 Jerome Novak
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License version 2
* as published by the Free Software Foundation.
*
* LORENE 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 LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
#ifndef __HOTEOS_H_
#define __HOTEOS_H_
/*
* $Id: hoteos.h,v 1.3 2015/12/08 10:52:17 j_novak Exp $
* $Log: hoteos.h,v $
* Revision 1.3 2015/12/08 10:52:17 j_novak
* New class Hoteos_tabul for tabulated temperature-dependent EoSs.
*
* Revision 1.2 2015/09/10 13:28:00 j_novak
* New methods for the class Hot_Eos
*
* Revision 1.1 2015/03/17 14:19:59 j_novak
* New class Hot_eos to deal with temperature-dependent EOSs.
*
*
* $Header: /cvsroot/Lorene/C++/Include/hoteos.h,v 1.3 2015/12/08 10:52:17 j_novak Exp $
*
*/
//C++ headers
#include "headcpp.h"
//C headers
#include<cstdio>
#include "tbl.h"
namespace Lorene{
class Scalar ;
class Param ;
class Eos ;
//------------------------------------//
// class Hot_eos //
//------------------------------------//
/**
* Base class for temperature-dependent equations of state (abstract class).
* \ingroup(eos)
*
*/
class Hot_eos {
// Data :
// -----
protected:
string name ; ///< EOS name
// Constructors - Destructor
// -------------------------
protected:
Hot_eos() ; ///< Standard constructor
/// Standard constructor from a name (string)
explicit Hot_eos(const string&) ;
/// Standard constructor from a name (char*)
explicit Hot_eos(const char*) ;
Hot_eos(const Hot_eos& ) ; ///< Copy constructor
/** Constructor from a binary file (created by the function
* \c sauve(FILE*) ).
* This constructor is protected because any hot EOS construction
* from a binary file must be done via the function
* \c Hot_eos::hoteos_from_file(FILE*) .
*/
Hot_eos(FILE* ) ;
/** Constructor from a formatted file.
* This constructor is protected because any hot EOS construction
* from a formatted file must be done via the function
* \c Hot_eos::hoteos_from_file(ifstream&) .
*/
Hot_eos(ifstream& ) ;
public:
virtual ~Hot_eos() ; ///< Destructor
// Derived data :
// ------------
protected:
mutable Eos* p_cold_eos ; ///< Corresponding cold Eos.
/// Deletes all the derived quantities
virtual void del_deriv() const ;
/// Sets to \c 0x0 all the pointers on derived quantities
void set_der_0x0() const ;
// Name manipulation
// -----------------
public:
/// Returns the hot EOS name
const string& get_name() const {return name; };
/// Sets the hot EOS name
void set_name(const char* ) ;
// Miscellaneous
// -------------
public:
/** Construction of an EOS from a binary file.
* The file must have been created by the function \c sauve(FILE*) .
*/
static Hot_eos* hoteos_from_file(FILE* ) ;
/** Construction of a hot EOS from a formatted file.
*
* The fist line of the file must start by the EOS number, according
* to the following conventions:
* - 1 = relativistic ideal gas (class \c Ideal_gas ).
* - 2 = non-relativistic ideal gas (class \c Ideal_gas_norel ).
*
* The second line in the file should contain a name given by the user to the EOS.
* The following lines should contain the EOS parameters (one
* parameter per line), in the same order than in the class declaration.
*/
static Hot_eos* hoteos_from_file(ifstream& ) ;
/// Comparison operator (egality)
virtual bool operator==(const Hot_eos& ) const = 0 ;
/// Comparison operator (difference)
virtual bool operator!=(const Hot_eos& ) const = 0 ;
/** Returns a number to identify the sub-classe of \c Hot_eos the
* object belongs to.
*/
virtual int identify() const = 0 ;
// Outputs
// -------
public:
virtual void sauve(FILE* ) const ; ///< Save in a file
/// Display
friend ostream& operator<<(ostream& , const Hot_eos& ) ;
protected:
virtual ostream& operator>>(ostream &) const = 0 ; ///< Operator >>
public:
/// Returns the corresponding cold \c Eos.
virtual const Eos& new_cold_Eos() const = 0 ;
// Computational functions
// -----------------------
protected:
/** General computational method for \c Scalar 's
*
* @param thermo1 [input] first thermodynamical quantity (for instance the
* enthalpy field) from which the thermodynamical quantity \c resu
* is to be computed.
* @param thermo2 [input] second thermodynamical quantity (for instance the
* entropy field) from which the thermodynamical quantity \c resu
* is to be computed.
* @param nzet [input] number of domains where \c resu is to be
* computed.
* @param l_min [input] index of the innermost domain is which \c resu
* is to be computed [default value: 0]; \c resu is computed only in
* domains whose indices are in \c [l_min,l_min+nzet-1] . In the other
* domains, it is set to zero.
* @param fait [input] pointer on the member function of class
* \c Hot_eos which performs the pointwise calculation.
* @param resu [output] result of the computation.
*/
void calcule(const Scalar& thermo1, const Scalar& thermo2, int nzet, int l_min,
double (Hot_eos::*fait)(double, double) const, Scalar& resu) const ;
public:
/** Computes the baryon density from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} (to be modified) \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return baryon density [unit: \f$n_{\rm nuc} := 0.1 \ {\rm fm}^{-3}\f$]
*
*/
virtual double nbar_Hs_p(double ent, double sb) const = 0 ;
/** Computes the baryon density field from the log-enthalpy field and
* entropy per baryon.
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
* @param nzet number of domains where the baryon density is to be
* computed.
* @param l_min index of the innermost domain is which the baryon
* density is
* to be computed [default value: 0]; the baryon density is
* computed only in domains whose indices are in
* \c [l_min,l_min+nzet-1] . In the other
* domains, it is set to zero.
*
* @return baryon density [unit: \f$n_{\rm nuc} := 0.1 \ {\rm fm}^{-3}\f$]
*
*/
Scalar nbar_Hs(const Scalar& ent, const Scalar& sb, int nzet, int l_min = 0) const ;
/** Computes the total energy density from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return energy density \e e [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
virtual double ener_Hs_p(double ent, double sb) const = 0 ;
/** Computes the total energy density from the log-enthalpy and entropy per baryon.
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
* @param nzet number of domains where the energy density is to be
* computed.
* @param l_min index of the innermost domain is which the energy
* density is
* to be computed [default value: 0]; the energy density is
* computed only in domains whose indices are in
* \c [l_min,l_min+nzet-1] . In the other
* domains, it is set to zero.
*
* @return energy density [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
Scalar ener_Hs(const Scalar& ent, const Scalar& sb, int nzet, int l_min = 0) const ;
/** Computes the pressure from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return pressure \e p [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
virtual double press_Hs_p(double ent, double sb) const = 0 ;
/** Computes the pressure from the log-enthalpy and entropy per baryon.
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
* @param nzet number of domains where the pressure is to be
* computed.
* @param l_min index of the innermost domain is which the pressure is
* to be computed [default value: 0]; the pressure is computed
* only in domains whose indices are in \c [l_min,l_min+nzet-1] .
* In the other domains, it is set to zero.
*
* @return pressure [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*
*/
Scalar press_Hs(const Scalar& ent, const Scalar& sb, int nzet, int l_min = 0) const ;
/** Computes the temperature from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} (to be modified) \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return temperature [unit: MeV]
*
*/
virtual double temp_Hs_p(double ent, double sb) const = 0 ;
/** Computes the temperature field from the log-enthalpy field and
* entropy per baryon.
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
* @param nzet number of domains where the baryon density is to be
* computed.
* @param l_min index of the innermost domain is which the baryon
* density is
* to be computed [default value: 0]; the baryon density is
* computed only in domains whose indices are in
* \c [l_min,l_min+nzet-1] . In the other
* domains, it is set to zero.
*
* @return temperature [unit: MeV]
*
*/
Scalar temp_Hs(const Scalar& ent, const Scalar& sb, int nzet, int l_min = 0) const ;
};
ostream& operator<<(ostream& , const Hot_eos& ) ;
//------------------------------------//
// class Ideal_gas //
//------------------------------------//
/**
* Ideal-gas (temperature-dependent) equation of state, with mass-term
* in the energy density.
*
* \f[
* p(n, s_b) = \kappa n^\gamma e^{(\gamma-1)s_b}\ .\qquad (1)
* \f]
* and \f[
* e(n, s_b) = \frac{\kappa}{\gamma - 1} n^\gamma e^{(\gamma-1)s_b} + m_0\, n\ .
* \qquad (2) \f]
* ### (to be written...)
*
*\ingroup (eos)
*
*/
class Ideal_gas : public Hot_eos {
// Data :
//-------
protected:
/// Adiabatic index \f$\gamma\f$
double gam ;
/** Pressure coefficient \f$\kappa\f$ (cf. Eq. (1))
* [unit: \f$\rho_{\rm nuc} c^2 / n_{\rm nuc}^\gamma\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$ and
* \f$n_{\rm nuc} := 0.1 \ {\rm fm}^{-3}\f$.
*/
double kap ;
/** Individual particule mass \f$m_0\f$ (cf. Eq. (2))
* [unit: \f$m_B = 1.66\ 10^{-27} \ {\rm kg}\f$].
*/
double m_0 ;
double gam1 ; ///< \f$\gamma-1\f$
double unsgam1 ; ///< \f$1/(\gamma-1)\f$
double gam1sgamkap ; ///< \f$(\gamma-1) / (\gamma \kappa) m_0\f$
// Constructors - Destructor
// -------------------------
public:
/** Standard constructor.
*
* Unless specified, the individual particle mass \f$m_0\f$ is set
* to the mean baryon mass \f$m_B = 1.66\ 10^{-27} \ {\rm kg}\f$.
*
* @param gamma adiabatic index \f$\gamma\f$
* @param kappa pressure coefficient \f$\kappa\f$
* @param mass individual particule mass \f$m_0\f$
*/
Ideal_gas(double gamma, double kappa, double mass=1.) ;
Ideal_gas(const Ideal_gas& ) ; ///< Copy constructor
protected:
/** Constructor from a binary file (created by the function
* \c sauve(FILE*) ).
* This constructor is protected because any hot EOS construction
* from a binary file must be done via the function
* \c Hot_eos::eos_from_file(FILE*) .
*/
Ideal_gas(FILE* ) ;
/** Constructor from a formatted file.
* This constructor is protected because any EOS construction
* from a formatted file must be done via the function
* \c Hot_eos::hoteos_from_file(ifstream&) .
*/
Ideal_gas(ifstream& ) ;
/// The construction functions from a file
friend Hot_eos* Hot_eos::hoteos_from_file(FILE* ) ;
friend Hot_eos* Hot_eos::hoteos_from_file(ifstream& ) ;
public:
virtual ~Ideal_gas() ; ///< Destructor
// Assignment
// ----------
/// Assignment to another \c Ideal_gas
void operator=(const Ideal_gas& ) ;
// Miscellaneous
// -------------
public :
/// Comparison operator (egality)
virtual bool operator==(const Hot_eos& ) const ;
/// Comparison operator (difference)
virtual bool operator!=(const Hot_eos& ) const ;
/** Returns a number to identify the sub-classe of \c Hot_eos the
* object belongs to.
*/
virtual int identify() const ;
/// Returns the adiabatic index \f$\gamma\f$ (cf. Eq. (1)).
double get_gam() const ;
/// Returns the pressure coefficient \f$\kappa\f$ (cf. Eq. (1)).
double get_kap() const ;
/** Return the individual particule mass \f$m_0\f$
* (cf. Eq. (1))
*/
double get_m_0() const ;
virtual const Eos& new_cold_Eos() const ;
protected:
/** Computes the auxiliary quantities \c gam1 , \c unsgam1 ,
* \c gam1sgamkap from the values of \c gam and \c kap
*/
void set_auxiliary() ;
// Outputs
// -------
public:
virtual void sauve(FILE* ) const ; ///< Save in a file
protected:
virtual ostream& operator>>(ostream &) const ; ///< Operator >>
// Computational functions
// -----------------------
public:
/** Computes the baryon density from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} (to be modified) \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return baryon density [unit: \f$n_{\rm nuc} := 0.1 \ {\rm fm}^{-3}\f$]
*
*/
virtual double nbar_Hs_p(double ent, double sb) const ;
/** Computes the total energy density from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return energy density \e e [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
virtual double ener_Hs_p(double ent, double sb) const ;
/** Computes the pressure from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return pressure \e p [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
virtual double press_Hs_p(double ent, double sb) const ;
/** Computes the temperature from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} (to be modified) \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return temperature [unit: MeV]
*
*/
virtual double temp_Hs_p(double ent, double sb) const ;
};
//------------------------------------//
// class Hoteos_tabul //
//------------------------------------//
/**
* Hot (temperature-dependent) tabulated equation of state, read from a file.
*
*
*\ingroup (eos)
*
*/
class Hoteos_tabul : public Hot_eos {
// Data :
//-------
protected:
/// Name of the file containing the tabulated data
string tablename ;
string authors ; ///<Authors - reference for the table
/// Lower boundary of the enthalpy interval
double hmin ;
/// Upper boundary of the enthalpy interval
double hmax ;
/// Lower boundary of the entropy interval
double sbmin ;
/// Upper boundary of the entropy interval
double sbmax ;
/// Table of \f$H = \log ( e + P ) / n_B\f$
Tbl* hhh ;
/// Table of \f$s_B\f$, entropy per baryon (in units of Boltzmann constant).
Tbl* s_B ;
/// Table of pressure $P$
Tbl* ppp ;
/// Table of \f$\partial P/\partial H\f$
Tbl* dpdh ;
/// Table of \f$\partial P/\partial s_B\f$
Tbl* dpds ;
/// Table of \f$\partial^2 P/\partial s_B \partial H\f$
Tbl* d2p ;
// Constructors - Destructor
// -------------------------
public:
/** Standard constructor from a filename.
*/
Hoteos_tabul(const string& filename) ;
Hoteos_tabul(const Hoteos_tabul& ) ; ///< Copy constructor
protected:
/** Constructor from a binary file (created by the function
* \c sauve(FILE*) ).
* This constructor is protected because any hot EOS construction
* from a binary file must be done via the function
* \c Hot_eos::eos_from_file(FILE*) .
*/
Hoteos_tabul(FILE* ) ;
/** Constructor from a formatted file.
* This constructor is protected because any EOS construction
* from a formatted file must be done via the function
* \c Hot_eos::hoteos_from_file(ifstream&) .
*/
Hoteos_tabul(ifstream& ) ;
/// The construction functions from a file
friend Hot_eos* Hot_eos::hoteos_from_file(FILE* ) ;
friend Hot_eos* Hot_eos::hoteos_from_file(ifstream& ) ;
public:
virtual ~Hoteos_tabul() ; ///< Destructor
/// Assignment to another \c Hoteos_tabul
void operator=(const Hoteos_tabul& ) ;
// Miscellaneous
// -------------
protected:
/** Reads the file containing the table and initializes
* in the arrays \c hhh , \c s_B, \c ppp, ...
*/
void read_table() ;
/// Sets all the arrays to the null pointer.
void set_arrays_0x0() ;
public :
/// Comparison operator (egality)
virtual bool operator==(const Hot_eos& ) const ;
/// Comparison operator (difference)
virtual bool operator!=(const Hot_eos& ) const ;
/** Returns a number to identify the sub-classe of \c Hot_eos the
* object belongs to.
*/
virtual int identify() const ;
virtual const Eos& new_cold_Eos() const ;
// Outputs
// -------
public:
virtual void sauve(FILE* ) const ; ///< Save in a file
protected:
virtual ostream& operator>>(ostream &) const ; ///< Operator >>
// Computational functions
// -----------------------
public:
/** Computes the baryon density from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} (to be modified) \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return baryon density [unit: \f$n_{\rm nuc} := 0.1 \ {\rm fm}^{-3}\f$]
*
*/
virtual double nbar_Hs_p(double ent, double sb) const ;
/** Computes the total energy density from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return energy density \e e [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
virtual double ener_Hs_p(double ent, double sb) const ;
/** Computes the pressure from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return pressure \e p [unit: \f$\rho_{\rm nuc} c^2\f$], where
* \f$\rho_{\rm nuc} := 1.66\ 10^{17} \ {\rm kg/m}^3\f$
*/
virtual double press_Hs_p(double ent, double sb) const ;
/** Computes the temperature from the log-enthalpy and entropy per baryon
* (virtual function implemented in the derived classes).
*
* @param ent [input, unit: \f$c^2\f$] log-enthalpy \e H defined by
* \f$H = c^2 \ln\left( {e+p \over m_B c^2 n} (to be modified) \right) \f$,
* where \e e is the (total) energy density, \e p the pressure,
* \e n the baryon density, and \f$m_B\f$ the baryon mass
* @param sb [input, unit: \f$k_B\f$] entropy per baryon \f$s_b\f$
*
* @return temperature [unit: MeV]
*
*/
virtual double temp_Hs_p(double ent, double sb) const ;
};
}
#endif
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