EisensteinHu.h

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/********************************************************************
 *  Copyright (C) 2010 by Federico Marulli, Alfonso Veropalumbo     *
 *  federico.marulli3@unibo.it                                      *
 *                                                                  *
 *  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 2 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, write to the Free      *
 *  Software Foundation, Inc.,                                      *
 *  59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.       *
 ********************************************************************/
 
#ifndef __EH__
#define __EH__
 
 
namespace cbl {
  
  namespace cosmology {
 
    class EisensteinHu {
 
    protected:
 
      double alpha_gamma;   
 
      double alpha_nu;
 
      double beta_c;        
 
      double num_degen_hdm; 
 
      double f_baryon;
 
      double f_bnu;     
 
      double f_cb;      
 
      double f_cdm;     
 
      double f_hdm;     
 
      double growth_k0; 
 
      double growth_to_z0;
 
      double hhubble;   
 
      double k_equality;    
 
      double obhh;      
 
      double omega_curv;
 
      double omega_lambda_z;     
 
      double omega_matter_z;    
 
      double omhh;      
 
      double onhh;      
 
      double p_c;       
 
      double p_cb;      
 
      double sound_horizon_fit;  
 
      double theta_cmb; 
 
      double y_drag;    
 
      double z_drag;        
 
      double z_equality;    
 
      double gamma_eff; 
      
      double growth_cb;
      
      double growth_cbnu;   
      
      double max_fs_correction; 
      
      double qq;        
      
      double qq_eff;        
      
      double qq_nu;     
      
      double tf_master; 
      
      double tf_sup;        
 
      double y_freestream;  
 
      double tf_cb;
 
      double tf_cbnu;
 
      double pk_normalization;
 
      double ns;
 
    public:
 
 
      EisensteinHu () = default;
 
      ~EisensteinHu () = default;
 
 
      
      int TFmdm_set_cosm (double omega_matter, double omega_baryon, double omega_hdm, int degen_hdm, double omega_lambda, double hubble, double redshift, double As=2.56e-9, double k_pivot=0.05, double n_spec=0.96)
      {
    double z_drag_b1, z_drag_b2, omega_denom;
    int qwarn;
    qwarn = 0;
 
    theta_cmb = 2.728/2.7; // assuming T_cmb = 2.728 K 
 
    /* Look for strange input */
 
    if (omega_baryon<0.0) {
      fprintf(stderr,
          "TFmdm_set_cosm(): Negative omega_baryon set to trace amount.\n");
      qwarn = 1;
    }
        
    if (omega_hdm<0.0) {
      fprintf(stderr,
          "TFmdm_set_cosm(): Negative omega_hdm set to trace amount.\n");
      qwarn = 1;
    }
 
    if (hubble<=0.0) {
      fprintf(stderr,"TFmdm_set_cosm(): Negative Hubble constant illegal.\n");
      exit(1);  /* Can't recover */
    } else if (hubble>2.0) {
      fprintf(stderr,"TFmdm_set_cosm(): Hubble constant should be in units of 100 km/s/Mpc.\n");
      qwarn = 1;
    }
 
    if (redshift<=-1.0) {
      fprintf(stderr,"TFmdm_set_cosm(): Redshift < -1 is illegal.\n");
      exit(1);
    } else if (redshift>99.0) {
      fprintf(stderr,
          "TFmdm_set_cosm(): Large redshift entered.  TF may be inaccurate.\n");
      qwarn = 1;
    }
 
    if (degen_hdm<1) degen_hdm = 1;
    num_degen_hdm = (float) degen_hdm;  
    /* Have to save this for TFmdm_onek_mpc() */
    /* This routine would crash if baryons or neutrinos were zero, 
       so don't allow that */
    if (omega_baryon<=0) omega_baryon=1e-5;
    if (omega_hdm<=0) omega_hdm=1e-5;
 
    omega_curv = 1.0-omega_matter-omega_lambda;
    omhh = omega_matter*pow(hubble, 2);
    obhh = omega_baryon*pow(hubble, 2);
    onhh = omega_hdm*pow(hubble, 2);
    f_baryon = omega_baryon/omega_matter;
    f_hdm = omega_hdm/omega_matter;
    f_cdm = 1.0-f_baryon-f_hdm;
    f_cb = f_cdm+f_baryon;
    f_bnu = f_baryon+f_hdm;
 
    /* Compute the equality scale. */
    z_equality = 25000.0*omhh*pow(theta_cmb, -4);   /* Actually 1+z_eq */
    k_equality = 0.0746*omhh*pow(theta_cmb, -2);
 
    /* Compute the drag epoch and sound horizon */
    z_drag_b1 = 0.313*pow(omhh,-0.419)*(1+0.607*pow(omhh,0.674));
    z_drag_b2 = 0.238*pow(omhh,0.223);
    z_drag = 1291*pow(omhh,0.251)/(1.0+0.659*pow(omhh,0.828))*(1.0+z_drag_b1*pow(obhh,z_drag_b2));
    y_drag = z_equality/(1.0+z_drag);
 
    sound_horizon_fit = 44.5*log(9.83/omhh)/sqrt(1.0+10.0*pow(obhh,0.75));
 
    /* Set up for the free-streaming & infall growth function */
    p_c = 0.25*(5.0-sqrt(1+24.0*f_cdm));
    p_cb = 0.25*(5.0-sqrt(1+24.0*f_cb));
 
    omega_denom = omega_lambda+pow(1.0+redshift, 2)*(omega_curv+omega_matter*(1.0+redshift));
    omega_lambda_z = omega_lambda/omega_denom;
    omega_matter_z = omega_matter*pow(1.0+redshift,2)*(1.0+redshift)/omega_denom;
 
    growth_k0 = z_equality/(1.0+redshift)*2.5*omega_matter_z/(pow(omega_matter_z,4.0/7.0)-omega_lambda_z+(1.0+omega_matter_z/2.0)*(1.0+omega_lambda_z/70.0));
    growth_to_z0 = z_equality*2.5*omega_matter/(pow(omega_matter,4.0/7.0)-omega_lambda + (1.0+omega_matter/2.0)*(1.0+omega_lambda/70.0));
    double growth_z = 1./(1.0+redshift)*2.5*omega_matter_z/(pow(omega_matter_z,4.0/7.0)-omega_lambda_z + (1.0+omega_matter_z/2.0)*(1.0+omega_lambda_z/70.0));
    growth_to_z0 = growth_k0/growth_to_z0;  
 
    /*
      growth_k0 = z_equality*5.*omega_matter_z/(2*(1+redshift))/(1./70.+209./140.*omega_matter_z-pow(omega_matter_z,2)/140.+pow(omega_matter_z,4./7.)); 
      growth_to_z0 = z_equality*5.*omega_matter_z/(2*(1+redshift))/(1./70.+209./140.*omega_matter_z-pow(omega_matter_z,2)/140.+pow(omega_matter_z,4./7.)); 
      growth_to_z0 = growth_k0/growth_to_z0;    
    */
 
    /* Compute small-scale suppression */
    alpha_nu = f_cdm/f_cb*(5.0-2.*(p_c+p_cb))/(5.-4.*p_cb)*
      pow(1+y_drag,p_cb-p_c)*
      (1+f_bnu*(-0.553+0.126*f_bnu*f_bnu))/
      (1-0.193*sqrt(f_hdm*num_degen_hdm)+0.169*f_hdm*pow(num_degen_hdm,0.2))*
      (1+(p_c-p_cb)/2*(1+1/(3.-4.*p_c)/(7.-4.*p_cb))/(1+y_drag));
    alpha_gamma = sqrt(alpha_nu);
    beta_c = 1/(1-0.949*f_bnu);
 
    /* Done setting scalar variables */
    hhubble = hubble;   /* Need to pass Hubble constant to TFmdm_onek_hmpc() */
 
    ns = n_spec;
 
    //double norm = 2.*par::pi*par::pi*m_scalar_amp*pow(2.*pow(par::cc/100.,2)/(5*m_Omega_matter)*DN(redshift),2)*pow(k/m_scalar_pivot, m_n_spec-1)*k_ov_h*pow(fact, -3);
    pk_normalization = 2.*par::pi*par::pi*As*pow(2.*pow(par::cc/100.,2)/(5*omega_matter)*growth_z,2)*pow(1./k_pivot, ns-1);
 
    return qwarn;
      }
 
      double TFmdm_onek_mpc (double kk)
      {
    double tf_sup_L, tf_sup_C;
    double temp1, temp2;
 
    qq = kk/omhh*pow(theta_cmb, 2);
 
    /* Compute the scale-dependent growth functions */
    y_freestream = 17.2*f_hdm*(1+0.488*pow(f_hdm,-7.0/6.0))*pow(num_degen_hdm*qq/f_hdm, 2);
    temp1 = pow(growth_k0, 1.0-p_cb);
    temp2 = pow(growth_k0/(1+y_freestream),0.7);
    growth_cb = pow(1.0+temp2, p_cb/0.7)*temp1;
    growth_cbnu = pow(pow(f_cb,0.7/p_cb)+temp2, p_cb/0.7)*temp1;
 
    /* Compute the master function */
    gamma_eff =omhh*(alpha_gamma+(1-alpha_gamma)/(1+pow(kk*sound_horizon_fit*0.43, 4)));
    qq_eff = qq*omhh/gamma_eff;
 
    tf_sup_L = log(2.71828+1.84*beta_c*alpha_gamma*qq_eff);
    tf_sup_C = 14.4+325/(1+60.5*pow(qq_eff,1.11));
    tf_sup = tf_sup_L/(tf_sup_L+tf_sup_C*pow(qq_eff, 2));
 
    qq_nu = 3.92*qq*sqrt(num_degen_hdm/f_hdm);
    max_fs_correction = 1+1.2*pow(f_hdm,0.64)*pow(num_degen_hdm,0.3+0.6*f_hdm)/(pow(qq_nu,-1.6)+pow(qq_nu,0.8));
    tf_master = tf_sup*max_fs_correction;
 
    /* Now compute the CDM+HDM+baryon transfer functions */
    tf_cb = tf_master*growth_cb/growth_k0;
    tf_cbnu = tf_master*growth_cbnu/growth_k0;
      
    return tf_cb;
      }
 
      double TFmdm_onek_hmpc (double kk)
      {
    return TFmdm_onek_mpc(kk*hhubble);
      }
 
      double Pk (double kk)
      {
    double k = kk*hhubble;
 
    double func = TFmdm_onek_mpc(k); // transfer function
 
    return pk_normalization*pow(func,2)*kk*pow(k, ns-1);
      }
 
      std::vector<double> Pk(std::vector<double> kk) {
        
    std::vector<double> _Pk(kk.size(), 0);
        
    for (size_t i=0; i<kk.size(); i++)
      _Pk[i] = Pk(kk[i]);
        
    return _Pk;
      }
      
    };
    
  }
}
 
#endif