{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initial imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import necessary modules\n",
    "# uncomment to get plots displayed in notebook\n",
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from classy_sz import Class\n",
    "from scipy.optimize import fsolve\n",
    "from scipy.interpolate import interp1d\n",
    "import math\n",
    "\n",
    "font = {'family':'STIXGeneral'}\n",
    "axislabelfontsize='large'\n",
    "matplotlib.rc('font', **font)\n",
    "\n",
    "plt.rcParams.update({\n",
    "    \"text.usetex\": True,\n",
    "    \"font.family\": \"sans-serif\",\n",
    "    \"font.sans-serif\": [\"Helvetica\"]})\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "import os \n",
    "path_to_class_sz = os.environ['PATH_TO_CLASS_SZ_DATA']+'/class_sz/class-sz/'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Settings for the calculations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "common_settings = {\n",
    "\n",
    "                   'H0':67.556,\n",
    "                   'omega_b':0.022032,\n",
    "                   'omega_cdm':0.12038,\n",
    "                   'ln10^{10}A_s': 3.047,\n",
    "                   'n_s': 0.9665,\n",
    "                   'tau_reio':0.0925,\n",
    "                   'cosmo_model': 0, # This parameter is important if you want to compute with emulators. Set to 0 for lcdm with \\Sigma mnu=0.06 eV.\n",
    "\n",
    "}\n",
    "\n",
    "# best-fit from Kusiak et al. https://arxiv.org/pdf/2203.12583.pdf\n",
    "\n",
    "HOD_blue = {\n",
    "'sigma_log10M_HOD': 0.68660116,\n",
    "'alpha_s_HOD':    1.3039425,\n",
    "'M1_prime_HOD': 10**12.701308, # Msun/h\n",
    "'M_min_HOD': 10**11.795964, # Msun/h\n",
    "'M0_HOD' :0,\n",
    "'x_out_truncated_nfw_profile_satellite_galaxies':  1.0868995,\n",
    "'f_cen_HOD' : 1., \n",
    "'full_path_to_dndz_gal': path_to_class_sz + 'class_sz_auxiliary_files/includes/normalised_dndz_cosmos_0.txt',\n",
    "}\n",
    "\n",
    "\n",
    "unWISE_common = {\n",
    "'galaxy_sample': 'custom',\n",
    "'M0_equal_M_min_HOD':'no',\n",
    "'x_out_truncated_nfw_profile': 1.0,\n",
    "    \n",
    "    \n",
    "'z_min': 0.005,\n",
    "'z_max': 3.,\n",
    "'M_min': 1e10,\n",
    "'M_max': 3.5e15,\n",
    "\n",
    "'nfw_profile_epsabs' : 1e-33,\n",
    "'nfw_profile_epsrel' : 0.001,\n",
    "    \n",
    "    \n",
    "'x_min_gas_density_fftw' : 1e-5,\n",
    "'x_max_gas_density_fftw' : 1e4,\n",
    "    \n",
    "    \n",
    "'redshift_epsabs': 1.0e-40,\n",
    "'redshift_epsrel': 0.001,\n",
    "'mass_epsabs': 1.0e-40,\n",
    "'mass_epsrel': 0.001,\n",
    "\n",
    "\n",
    "\n",
    "'hm_consistency': 1,\n",
    "\n",
    "\n",
    "'delta_for_galaxies': \"200c\",\n",
    "'delta_for_matter_density': \"200c\",\n",
    "'mass_function': 'T08M200c',\n",
    "'concentration parameter': 'B13' ,\n",
    "    \n",
    "\n",
    "}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# the parameters needed for the ksz calculations:\n",
    "ksz_params = {\n",
    "#fiducial ksz params\n",
    "\n",
    "'k_min_for_pk_class_sz' : 0.001,\n",
    "'k_max_for_pk_class_sz' : 50.0,\n",
    "'k_per_decade_class_sz' : 50,\n",
    "'P_k_max_h/Mpc' : 50.0,\n",
    "\n",
    "'nfw_profile_epsabs' : 1e-33,\n",
    "'nfw_profile_epsrel' : 0.001,\n",
    "\n",
    "\n",
    "'ndim_masses' : 80,\n",
    "'ndim_redshifts' : 30,\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "'n_k_density_profile' : 50,\n",
    "'n_m_density_profile' : 50,\n",
    "'n_z_density_profile' : 50,\n",
    "'k_per_decade_for_pk' : 50,\n",
    "'z_max_pk' : 4.0,\n",
    "    \n",
    "## some settings to try more points to avoid numerical noise in some cases:\n",
    "## for example\n",
    "# 'ndim_masses' : 100,\n",
    "# 'ndim_redshifts' : 100,\n",
    "# 'n_ell_density_profile' : 100,\n",
    "# 'n_m_density_profile' : 100,\n",
    "# 'n_z_density_profile' : 100,\n",
    "    \n",
    "\n",
    "# slow:\n",
    "# 'n_z_psi_b1g' : 100,\n",
    "# 'n_l_psi_b1g' : 400,\n",
    "\n",
    "# 'n_z_psi_b2g' : 100,\n",
    "# 'n_l_psi_b2g' : 400,\n",
    "\n",
    "# 'n_z_psi_b2t' : 100,\n",
    "# 'n_l_psi_b2t' : 400,\n",
    "\n",
    "# 'n_z_psi_b1t' : 100,\n",
    "# 'n_l_psi_b1t' : 100,\n",
    "\n",
    "# 'n_z_psi_b1gt' : 100,\n",
    "# 'n_l_psi_b1gt' : 100,\n",
    "    \n",
    "    \n",
    "# fast:\n",
    "'n_z_psi_b1g' : 50,\n",
    "'n_l_psi_b1g' : 50,\n",
    "\n",
    "'n_z_psi_b2g' : 50,\n",
    "'n_l_psi_b2g' : 50,\n",
    "\n",
    "'n_z_psi_b2t' : 50,\n",
    "'n_l_psi_b2t' : 50,\n",
    "\n",
    "'n_z_psi_b1t' : 50,\n",
    "'n_l_psi_b1t' : 50,\n",
    "\n",
    "'n_z_psi_b1gt' : 50,\n",
    "'n_l_psi_b1gt' : 50,\n",
    "\n",
    "'N_samp_fftw' : 1024, # fast: 800 ;  slow: 2000\n",
    "'l_min_samp_fftw' : 1e-9,\n",
    "'l_max_samp_fftw' : 1e9,\n",
    "    \n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Halo model "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6min 9s, sys: 3.46 s, total: 6min 13s\n",
      "Wall time: 46.3 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "M = Class()\n",
    "M.set(common_settings)\n",
    "M.set(HOD_blue)\n",
    "M.set(unWISE_common)\n",
    "M.set(ksz_params)\n",
    "M.set({\n",
    "'output':'mean_galaxy_bias,kSZ_kSZ_gal fft (1h),kSZ_kSZ_gal fft (2h),kSZ_kSZ_gal fft (3h)',    \n",
    "\n",
    "    \n",
    "'projected_field_filter_file' : path_to_class_sz + 'class_sz_auxiliary_files/includes/s4_fl_A_170422.txt',           \n",
    "\n",
    "'dlogell' : 0.1,\n",
    "'ell_max' : 10000.0,\n",
    "'ell_min' : 10.0,\n",
    "\n",
    "'gas_profile' : 'B16', # set Battaglia 2016 density profile\n",
    "'gas_profile_mode' : 'agn',\n",
    "'normalize_gas_density_profile' : 0,\n",
    "'use_xout_in_density_profile_from_enclosed_mass' : 1,\n",
    "\n",
    "    \n",
    "## with current settings, the calculation seems more stable without use_fft_for_profiles_transform\n",
    "## i.e., 'use_fft_for_profiles_transform' : 0\n",
    "'use_fft_for_profiles_transform' : 0,    \n",
    "\n",
    "'use_bg_at_z_in_ksz2g_eff' : 1,\n",
    "'non_linear' : 'halofit',\n",
    "      })\n",
    "\n",
    "M.compute_class_szfast()\n",
    "cl_kSZ_kSZ_g = M.cl_kSZ_kSZ_g()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "label_size = 17\n",
    "title_size = 18\n",
    "legend_size = 13\n",
    "handle_length = 1.5\n",
    "fig, (ax1) = plt.subplots(1,1,figsize=(7,4))\n",
    "ax = ax1\n",
    "ax.tick_params(axis = 'x',which='both',length=5,direction='in', pad=10)\n",
    "ax.tick_params(axis = 'y',which='both',length=5,direction='in', pad=5)\n",
    "ax.xaxis.set_ticks_position('both')\n",
    "ax.yaxis.set_ticks_position('both')\n",
    "plt.setp(ax.get_yticklabels(), rotation='horizontal', fontsize=label_size)\n",
    "plt.setp(ax.get_xticklabels(), fontsize=label_size)\n",
    "ax.grid( visible=True, which=\"both\", alpha=0.2, linestyle='--')\n",
    "\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.set_ylim(1e-4,1.5e-1)\n",
    "ax.set_xlim(50,9000)\n",
    "\n",
    "fac = (2.726e6)**2*np.asarray(cl_kSZ_kSZ_g['ell'])*(np.asarray(cl_kSZ_kSZ_g['ell'])+1.)/2./np.pi\n",
    "\n",
    "ax.plot(cl_kSZ_kSZ_g['ell'],fac*np.asarray(cl_kSZ_kSZ_g['1h']),label = r'$1\\mathrm{h}$',c='k',ls=':',lw=0.7)\n",
    "ax.plot(cl_kSZ_kSZ_g['ell'],fac*np.asarray(cl_kSZ_kSZ_g['2h']),label = r'$2\\mathrm{h}$',c='b',ls='-.',lw=0.7)\n",
    "ax.plot(cl_kSZ_kSZ_g['ell'],fac*np.asarray(cl_kSZ_kSZ_g['3h']),label = r'$3\\mathrm{h}$',c='orange',ls='--',lw=0.7)\n",
    "ax.plot(cl_kSZ_kSZ_g['ell'],fac*(np.asarray(cl_kSZ_kSZ_g['1h'])+np.asarray(cl_kSZ_kSZ_g['2h'])+np.asarray(cl_kSZ_kSZ_g['3h'])),\n",
    "        label = r'$\\mathrm{Total}$',c='k',ls='-',lw=1.)\n",
    "\n",
    "ax.legend(loc=2,ncol = 1,frameon=False,fontsize=14)\n",
    "ax.set_xlabel(r\"$\\ell$\",size=title_size)\n",
    "ax.set_ylabel(r\"$\\ell(\\ell+1)C_\\ell^{\\mathrm{kSZ^2g}}/2\\pi\\quad [\\mathrm{\\mu K^2}]$\",size=title_size)\n",
    "fig.tight_layout()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Effective approach \n",
    "\n",
    "Currently, this does not work in fast mode (i.e., with `compute_class_szfast`), likely due to how the matter power spctrum is handled. \n",
    "Nontheless, the effective approach is certainly more of a crude approximation than the halo-model one. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11min 15s, sys: 2.54 s, total: 11min 18s\n",
      "Wall time: 1min 32s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "M = Class()\n",
    "M.set(common_settings)\n",
    "M.set(HOD_blue)\n",
    "M.set(unWISE_common)\n",
    "M.set(ksz_params)\n",
    "M.set({\n",
    "# for effective approach calculation of kSZ2g, i.e.,kSZ_kSZ_gal_hf also set:\n",
    "'output':'kSZ_kSZ_gal_hf',    \n",
    "'N_kSZ2_gal_multipole_grid' :  70,\n",
    "'N_kSZ2_gal_theta_grid' :  70,\n",
    "'ell_min_kSZ2_gal_multipole_grid' : 2.,\n",
    "'ell_max_kSZ2_gal_multipole_grid' : 2e5,\n",
    "\n",
    "'projected_field_filter_file' : path_to_class_sz + 'class_sz_auxiliary_files/includes/s4_fl_A_170422.txt',           \n",
    "\n",
    "'dlogell' : 0.1,\n",
    "'ell_max' : 10000.0,\n",
    "'ell_min' : 10.0,\n",
    "\n",
    "'gas_profile' : 'B16', # set NFW profile\n",
    "'gas_profile_mode' : 'agn',\n",
    "'normalize_gas_density_profile' : 0,\n",
    "'use_xout_in_density_profile_from_enclosed_mass' : 1,\n",
    "\n",
    "  \n",
    "\n",
    "'use_bg_at_z_in_ksz2g_eff' : 1,\n",
    "'non_linear' : 'halofit',\n",
    "      })\n",
    "\n",
    "M.compute()\n",
    "cl_kSZ_kSZ_g = M.cl_kSZ_kSZ_g()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot results "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "label_size = 17\n",
    "title_size = 18\n",
    "legend_size = 13\n",
    "handle_length = 1.5\n",
    "fig, (ax1) = plt.subplots(1,1,figsize=(7,4))\n",
    "ax = ax1\n",
    "ax.tick_params(axis = 'x',which='both',length=5,direction='in', pad=10)\n",
    "ax.tick_params(axis = 'y',which='both',length=5,direction='in', pad=5)\n",
    "ax.xaxis.set_ticks_position('both')\n",
    "ax.yaxis.set_ticks_position('both')\n",
    "plt.setp(ax.get_yticklabels(), rotation='horizontal', fontsize=label_size)\n",
    "plt.setp(ax.get_xticklabels(), fontsize=label_size)\n",
    "ax.grid( visible=True, which=\"both\", alpha=0.2, linestyle='--')\n",
    "\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "ax.set_ylim(3e-3,5e-1)\n",
    "ax.set_xlim(50,9000)\n",
    "\n",
    "fac = (2.726e6)**2*np.asarray(cl_kSZ_kSZ_g['ell'])*(np.asarray(cl_kSZ_kSZ_g['ell'])+1.)/2./np.pi\n",
    "\n",
    "ax.plot(cl_kSZ_kSZ_g['ell'],fac*np.asarray(cl_kSZ_kSZ_g['hf']),label = r'$\\mathrm{effective\\,\\,approach}$',c='k',ls='-',lw=1)\n",
    "\n",
    "\n",
    "ax.legend(loc=2,ncol = 1,frameon=False,fontsize=14)\n",
    "ax.set_xlabel(r\"$\\ell$\",size=title_size)\n",
    "ax.set_ylabel(r\"$\\ell(\\ell+1)C_\\ell^{\\mathrm{kSZ^2g}}/2\\pi\\quad [\\mathrm{\\mu K^2}]$\",size=title_size)\n",
    "fig.tight_layout()\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}