catima/calculations.h

/*
 *  Author: Andrej Prochazka
 *  Copyright(C) 2017
 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Affero 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 Affero General Public License for more details.

 *  You should have received a copy of the GNU Affero General Public License
 *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
 */
/// \file calculations.h
#ifndef CALCULATIONS_H
#define CALCULATIONS_H
#include <complex>
#include "catima/structures.h"
#include "catima/config.h"

namespace catima{

    /**
      * returns nuclear stopping power for projectile-target combination
      */
    double dedx_n(const Projectile &p, const Target &t);

    /**
      * returns electronic stopping power for projectile-target combination
      */
    double dedx_e(Projectile &p, const Target &t, const Config &c=default_config);

    /**
      * returns total stopping power for projectile-target combination
      */
    double dedx(Projectile &p, const Target &t, const Config &c=default_config);    
    
    /**
      * returns energy loss straggling
      */
    double dedx_variance(Projectile &p, Target &t, const Config &c=default_config);

    /**
      * returns reduced energy loss unit for projectile-target combination
      */
    double reduced_energy_loss_unit(const Projectile &p, const Target &t);
    


    double bethek_dedx_e(Projectile &p,const Target &t, const Config &c=default_config);
    double bethek_barkas(double zp_eff,double eta, double zt);
    double bethek_density_effect(double beta, int zt);
    
    /**
      * calculates lindhard correction for energy loss calculation
      */
    double bethek_lindhard(const Projectile &p);

    /**
      * calculates lindhard correction for energy loss straggling calculation
      */
    double bethek_lindhard_X(const Projectile &p);

    /**
      * returns linhard correction (L) calulated from tabulated precalculated data
      * if energy is less than minimal calculated energy the LS coefficient of at  minimal 
      * calculated energy is returned and similar for highest caclulated energy limit
      */
    double precalculated_lindhard(const Projectile &p);

    /**
      * returns linhard energy loss straggling correction (X) calulated from tabulated precalculated data
      * if energy is less than minimal calculated energy the X coefficient of at  minimal 
      * calculated energy is returned and similar for highest caclulated energy limit
      */
    double precalculated_lindhard_X(const Projectile &p);

    /**
      * this function is not used and is not tested 
      */
    double energy_straggling_firsov(double z1,double energy, double z2, double m2);
    
    /**
      * electronic energy loss for low energy, should be like SRIM
      */ 
    double sezi_dedx_e(const Projectile &p, const Target &t);
    
    /**
      * electronic energy loss of protons for low energy, should be like SRIM
      */ 
    double sezi_p_se(double energy,const Target &t);
    

    double angular_scattering_variance(Projectile &p, Target &t);

    /**
      * returns radiation length of the (M,Z) material
      * for certain z the radiation length is tabulated, otherwise calculated
      * @param z - proton number of material
      * @return radiation length in g/cm^2
      */
    double radiation_length(int z, int m);
    
    /** returns effective Z of the projectile
      * @param c - Configuration, the z effective will be calculated according to c.z_effective value
      * @return - z effective
      */ 
    double z_effective(const Projectile &p, const Target &t, const Config &c=default_config);

    /**
      * calculates effective charge
      * @param z - proton number of projectile
      * @param beta - velocity of projectile
      * @return effective charge
      */
    double z_eff_Pierce_Blann(double z, double beta);

    /**
      * calculates effective charge
      * @param pz - proton number of projectile
      * @param beta - velocity of projectile
      * @param tz - proton number of target material
      * @return effective charge
      */
    double z_eff_Anthony_Landford(double pz, double beta, double tz);

    /**
      * calculates effective charge
      * @param pz - proton number of projectile
      * @param beta - velocity of projectile
      * @param tz - proton number of target material
      * @return effective charge
      */
    double z_eff_Hubert(double pz, double E, double tz);


    //helper
    double gamma_from_T(double T);
    double beta_from_T(double T);
    std::complex<double> lngamma( const std::complex<double> &z );
    std::complex<double> hyperg(const std::complex<double> &a,
                                                const std::complex<double> &b,
                                                const std::complex<double> &z);

    inline double power(double x, double y){
        return exp(log(x)*y);
    }
}
#endif