{ "cells": [ { "cell_type": "markdown", "id": "a3461285-3f18-4ba7-9619-4ead5fa207c5", "metadata": {}, "source": [ "# Intialize" ] }, { "cell_type": "code", "execution_count": 1, "id": "cbdcfd5d-0b33-4f25-b751-e760f4127b03", "metadata": {}, "outputs": [], "source": [ "import classy_sz" ] }, { "cell_type": "code", "execution_count": 3, "id": "2c4d4199-c6fb-4634-9520-cacfce177bd8", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from classy_sz import Class\n", "import os\n", "import time\n", "from scipy.integrate import simpson\n", "import numpy as np\n", "\n", "font = {'size' : 16, 'family':'STIXGeneral'}\n", "axislabelfontsize='large'\n", "matplotlib.rc('font', **font)\n", "plt.rcParams.update({\n", " \"text.usetex\": True,\n", " \"font.family\": \"sans-serif\",\n", " \"font.sans-serif\": [\"Helvetica\"]})\n", "\n", "\n", "def l_to_dl(lp):\n", " if type(lp) == list:\n", " lp = np.asarray(lp)\n", " return lp*(lp+1.)/2./np.pi" ] }, { "cell_type": "code", "execution_count": 54, "id": "2aab7f5d-2006-496e-ad82-a4e58c102028", "metadata": {}, "outputs": [], "source": [ "import os \n", "path_to_class_sz = os.environ['PATH_TO_CLASS_SZ_DATA']\n", "\n", "path_to_class_sz_files = path_to_class_sz+\"/class_sz/class-sz/class_sz_auxiliary_files/includes/\"" ] }, { "cell_type": "markdown", "id": "96a3eaad-941e-45c3-8383-ff6e0445fd99", "metadata": {}, "source": [ "## set cosmological parameters" ] }, { "cell_type": "markdown", "id": "3414e44c-186b-4f6b-892f-4317983a74f5", "metadata": {}, "source": [ "Let us first set the cosmological parameters\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "a1460216-c5cc-4696-b1d3-52f0a18e68f8", "metadata": {}, "outputs": [], "source": [ "cosmo_params = {\n", "'omega_b': 0.022,\n", "'omega_cdm': 0.122,\n", "'H0': 67.5, \n", "'tau_reio': 0.0561,\n", "'ln10^{10}A_s': 3.047,\n", "'n_s': 0.965,\n", "}" ] }, { "cell_type": "markdown", "id": "2324c5a0-1579-4f69-9354-7f16a9f39fb8", "metadata": {}, "source": [ "## deal with dndz\n", "\n", "- put the relevant file in `path_to_class_sz_files`" ] }, { "cell_type": "code", "execution_count": 6, "id": "93cacbcb-477e-4031-9ee6-559bf69577a2", "metadata": {}, "outputs": [], "source": [ "zs = np.loadtxt(path_to_class_sz_files+'z_zsplit2.txt')\n", "nzs = np.loadtxt(path_to_class_sz_files+'nz_zsplit2bin0.txt')\n" ] }, { "cell_type": "markdown", "id": "b1f9953a-248e-4315-81a9-f1d02c07d285", "metadata": {}, "source": [ "- check normalization" ] }, { "cell_type": "code", "execution_count": 10, "id": "bdb72ac9-c823-492f-9135-8d9e4cf2b511", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1355882.8763808226\n" ] } ], "source": [ "if np.trapezoid(nzs,zs) != 1:\n", " print(np.trapezoid(nzs,zs))\n", " # normalize if not normalized\n", " nzs_norm = nzs/np.trapezoid(nzs,zs)\n", "else: \n", " nzs_norm\n" ] }, { "cell_type": "markdown", "id": "1d2ca35c-276c-4206-b026-f7d4f77a73fc", "metadata": {}, "source": [ "- save in relevant format" ] }, { "cell_type": "code", "execution_count": 11, "id": "3c94a515-fc42-4f73-a530-8546e630ad99", "metadata": {}, "outputs": [], "source": [ "np.savetxt(path_to_class_sz_files+'/dndz_quaia.txt',np.c_[zs,nzs_norm])" ] }, { "cell_type": "markdown", "id": "92754452-3965-4dbd-a363-782e58c48a97", "metadata": {}, "source": [ "## quaia bias redshift dependence\n", "\n", "Inferred b(z) for quaia from Alonso et al ." ] }, { "cell_type": "code", "execution_count": 12, "id": "6be1f244-da1b-4645-b35e-d365e21fbe2a", "metadata": {}, "outputs": [], "source": [ "@np.vectorize\n", "def bquaia(z,bl):\n", " return bl*(0.278*((1 + z)**2 - 6.565) + 2.393)" ] }, { "cell_type": "markdown", "id": "f5208887-73f5-487e-8591-11e32a0fdeb3", "metadata": {}, "source": [ "## compute power spectra" ] }, { "cell_type": "code", "execution_count": 13, "id": "98da44ce-015e-4437-bb0d-d6242d48d91d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "class_sz = Class()\n", "\n", "class_sz.set(cosmo_params)\n", "\n", "\n", "\n", "common_params = {\n", "\n", "# here gal_gal_1h and gal_gal_2h correspond to the HOD calculation\n", "# while gal_gal_hf is the linear bias calculation\n", "# dndlnm ensures we can access the halo-function after computation\n", "'output': 'gal_gal_1h,gal_gal_2h,gal_gal_hf,dndlnm', \n", "\n", "'galaxy_sample' : 'custom', # custom made galaxy sample\n", "'full_path_to_dndz_gal':path_to_class_sz_files+'/dndz_quaia.txt', # redshift distribution of custom made galaxy sample\n", "\n", "# pick redshift range\n", "'z_min' : 0.005,\n", "'z_max' : 3.0,\n", " \n", "'has_b_custom1': 1, # do you want a cutom function for b(z)? yes: 1, no: 0\n", "'array_b_custom1_n_z': 200, # precision parameters for z sampling of b(z) \n", "'non_linear' : 'hmcode', # non-linear model for matter P(k), e.g., 'hmcode' or 'halofit'\n", "'effective_galaxy_bias': 2.,\n", "# for the custom bias function we want: \n", "# b(z) = bquaia(z,bl) as defined above and bl is effective_galaxy_bias\n", "# We code this in path_to_classy_szfast/classy_szfast/custom_bias/custom_bias.py\n", " \n", " \n", "# pick mass range (relevant for HOD prediction)\n", "'M_min' : 1e11, \n", "'M_max' : 1e15,\n", " \n", "\n", " \n", "# Other parameters relevant for HOD predictions\n", "'mass_function' : 'T08M200c', # halo mass function, e.g., Tinker et al 2008 defined at M200c\n", "'concentration_parameter' : 'B13', # halo concentration parameter \n", "\n", "# main HOD parameters controlling Nc, Ns\n", "'sigma_log10M_HOD': 0.68,\n", "'alpha_s_HOD': 1.30,\n", "'M1_prime_HOD': 10**12.7, # msun/h\n", "'M_min_HOD': 10**11.8, # msun/h\n", "'M0_HOD' :0,\n", " \n", "# these are not important (maybe for fine-tuning HOD)\n", "'x_out_truncated_nfw_profile_satellite_galaxies': 1.,\n", "'f_cen_HOD' : 1., \n", "\n", "'hm_consistency' : 0,\n", "\n", "\n", " \n", "}\n", "\n", "# if you need other cosmological parameters\n", "# do: \n", "cosmo_params.update(\n", "{\n", "'omega_cdm':0.11,\n", "\n", "'cosmo_model': 1,\n", " \n", "'skip_background_and_thermo': 0,\n", "'N_ncdm': 1,\n", "'N_ur': 2.0308,\n", "'m_ncdm': 0.06, \n", "'deg_ncdm': 1,\n", "'skip_input': 0,\n", "}\n", ")\n", "\n", "class_sz.set(common_params)\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "851715dd-8f1c-4fa4-b810-ed62ccde431d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/boris/venvdir/class_sz_312_brew/lib/python3.12/site-packages/mcfit/mcfit.py:130: UserWarning: use backend='jax' if desired\n", " warnings.warn(\"use backend='jax' if desired\")\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.34 s, sys: 113 ms, total: 3.45 s\n", "Wall time: 812 ms\n" ] } ], "source": [ "%%time\n", "class_sz.compute_class_szfast()" ] }, { "cell_type": "code", "execution_count": 15, "id": "574b9b00-5486-44d3-b432-027774cb9da7", "metadata": {}, "outputs": [], "source": [ "## check why returns 0?\n", "# class_sz.get_current_derived_parameters(['m_ncdm_tot'])" ] }, { "cell_type": "code", "execution_count": 16, "id": "a2294d4c-3417-48aa-a4b3-ab246c22c17e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.0441685911057843" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "class_sz.Neff()" ] }, { "cell_type": "markdown", "id": "f5302387-bd6e-4fbc-bb3c-a30cc5a67974", "metadata": {}, "source": [ "## collect the output" ] }, { "cell_type": "code", "execution_count": 17, "id": "bbf7fd0d-1f01-485e-ad95-67342cebb6c5", "metadata": {}, "outputs": [], "source": [ "# factor for converting to cl\n", "\n", "\n", "# linear bias calculations\n", "l, cl_gg_linear_bias = np.asarray(class_sz.cl_gg()['ell']),np.asarray(class_sz.cl_gg()['hf'])\n", "cl_gg_linear_bias /= l_to_dl(l)\n", "\n", "\n", "# hod calculation\n", "l, cl_gg_hod_1h, cl_gg_hod_2h = np.asarray(class_sz.cl_gg()['ell']),np.asarray(class_sz.cl_gg()['1h']),np.asarray(class_sz.cl_gg()['2h'])\n", "cl_gg_hod_tot = cl_gg_hod_1h + cl_gg_hod_2h\n", "cl_gg_hod_tot /= l_to_dl(l)\n", "cl_gg_hod_1h /= l_to_dl(l)\n", "cl_gg_hod_2h /= l_to_dl(l)" ] }, { "cell_type": "markdown", "id": "b6cd7511-6bd9-4f90-b012-ae873926fb8a", "metadata": {}, "source": [ "## plot" ] }, { "cell_type": "code", "execution_count": 18, "id": "9dd8e72d-293a-429a-ad3f-361be0326754", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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=(5,5))\n", "\n", "\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", "ax.set_ylabel(r\"$C_\\ell$ \",size=title_size)\n", "ax.set_xlabel(r\"$\\ell$\",size=title_size)\n", "ax.set_xscale('log')\n", "ax.set_yscale('log')\n", "\n", "plt.loglog(l, cl_gg_hod_tot,ls='-', label='Total HOD spectrum',c='blue')\n", "plt.loglog(l, cl_gg_hod_1h,ls='--', label='1-halo term',c='blue')\n", "plt.loglog(l, cl_gg_hod_2h,ls='-.', label='2-halo term',c='blue')\n", "\n", "\n", "plt.loglog(l, cl_gg_linear_bias, label='Total linear-bias spectrum',c='r')\n", "\n", "\n", "\n", "# plt.ylim(1e-2,1e4)\n", "\n", "ax.legend(fontsize=11,ncol=1,frameon=False)\n", "\n", "\n", "\n", "\n", "ax.legend(fontsize=13,ncol=1,frameon=False)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "9b3bbe26-1269-4d8d-988a-0ff04cb65a5d", "metadata": {}, "source": [ "## plot HOD quantities\n", "\n", "In the code the HOD is coded in these functions:\n", "\n", "```\n", "def get_N_satellites(self,double z,double M_halo,double Nc_mean,double M_min,double alpha_s,double M1_prime):\n", " Ns = HOD_mean_number_of_satellite_galaxies(z,M_halo,Nc_mean,M_min,alpha_s,M1_prime,&self.tsz,&self.ba)\n", " return Ns\n", "\n", "def get_N_centrals(self,double z,double M_halo,double M_min,double sigma_log10M,double fc):\n", " Nc = HOD_mean_number_of_central_galaxies(z,M_halo,M_min,sigma_log10M,fc,&self.tsz,&self.ba)\n", " return Nc\n", "```" ] }, { "cell_type": "code", "execution_count": 19, "id": "3977f930-55be-42e8-85cf-46a5f1fd91a0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ngbar = 0.0119082187262307\n" ] } ], "source": [ "zx = 1.\n", "ngbar = class_sz.get_ng_bar_at_z(zx)\n", "print(f'ngbar = {ngbar}')" ] }, { "cell_type": "code", "execution_count": 20, "id": "b468ee22-46de-451e-b4f2-faa77fc3756c", "metadata": {}, "outputs": [], "source": [ "marr = np.geomspace(common_params['M_min'],common_params['M_max'],500)\n", "\n", "M_min = common_params['M_min_HOD']\n", "sigma_log10M = common_params['sigma_log10M_HOD']\n", "fc = common_params['f_cen_HOD']\n", "\n", "\n", "get_nc = np.vectorize(class_sz.get_N_centrals)\n", "nc = get_nc(zx,marr,M_min,sigma_log10M,fc).squeeze()\n", "\n", "\n", "get_ns = np.vectorize(class_sz.get_N_satellites)\n", "\n", "alpha_s = common_params['alpha_s_HOD']\n", "m1p = common_params['M1_prime_HOD']\n", "ns = get_ns(zx,marr,nc,M_min,alpha_s,m1p)" ] }, { "cell_type": "code", "execution_count": 21, "id": "8bee7d2d-6511-4a65-b4f7-d9cc32a5af8c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Nc,Ns')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(marr,nc)\n", "plt.plot(marr,ns)\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('mass')\n", "plt.ylabel('Nc,Ns')" ] }, { "cell_type": "markdown", "id": "4d265653-5aeb-4f5f-9ca3-d3e81759093a", "metadata": {}, "source": [ "## Halo bias (Tinker 2010)" ] }, { "cell_type": "code", "execution_count": 25, "id": "b88095c8-2cee-494b-8cff-578094434237", "metadata": {}, "outputs": [], "source": [ "# \"Tinker bias\", i.e., halo bias\n", "# here we pick z = zx defined ealier\n", "bh = class_sz.get_first_order_bias_at_z_and_m(zx,marr)[0]" ] }, { "cell_type": "code", "execution_count": 26, "id": "d759677e-64ab-47fb-b2a7-aa1438efcab4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(500,)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bh.shape" ] }, { "cell_type": "code", "execution_count": 27, "id": "de434b57-4488-4136-88d4-a8d6215ab557", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'b(m,z)')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(marr,bh)\n", "plt.yscale('log')\n", "plt.xlabel('mass msun/h')\n", "plt.ylabel('b(m,z)')" ] }, { "cell_type": "markdown", "id": "2bba55b5-447a-4360-b6a0-c6f8f8875f1c", "metadata": {}, "source": [ "## get halo mass function" ] }, { "cell_type": "code", "execution_count": 28, "id": "219ee56b-5cba-42fc-b436-0d66b3e80980", "metadata": {}, "outputs": [], "source": [ "dndlnm = class_sz.get_dndlnm(zx, marr) # halo mass function\n", "dndm = dndlnm/marr" ] }, { "attachments": { "acf739d5-1fc6-4f63-b6d8-57d99e0eb082.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "7e8b4624-09ad-4ac6-a07f-4cf6fbc74d5c", "metadata": {}, "source": [ "## compute formula if needed\n", "\n", "![Screenshot 2024-06-04 at 17.22.29.png](attachment:acf739d5-1fc6-4f63-b6d8-57d99e0eb082.png)\n" ] }, { "cell_type": "code", "execution_count": 38, "id": "d7e40330-8979-40fb-a915-c97bb70ab9e9", "metadata": {}, "outputs": [], "source": [ "# assume Nc = 1\n", "# need to fin Mmin such that beff(z) = RHS\n", "@np.vectorize\n", "def beff(mmin):\n", " integrand = (dndm*bh)[0]\n", " integrand[marr" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "plt.plot(mmin,bs)\n", "ax.axhline(bquaia(zx,bl),label=f'measured quia bias at z = {zx} and bl = {bl}',c='r')\n", "plt.xscale('log')\n", "plt.xlabel(r'$M_\\mathrm{min} [M_\\mathrm{sun}/h]$')\n", "plt.ylabel(f'Quaia bias estmate at z = {zx}')\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "53eb7c88-3526-4819-8fc5-482e6730f516", "metadata": {}, "source": [ "# Quaia Six bins" ] }, { "cell_type": "code", "execution_count": 48, "id": "69079e62-362d-4146-a96c-7d16b1737e7f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "71481.04066872306\n", "473301.79462171864\n", "668156.2756827383\n", "580528.2260208138\n", "280667.9358349544\n", "140526.58722148684\n" ] } ], "source": [ "for i in range(6):\n", " zs = np.loadtxt(path_to_class_sz_files+'zs_zsplit6.txt')\n", " nzs = np.loadtxt(path_to_class_sz_files+f'nzs_zsplit6bin{i}.txt')\n", "\n", " if np.trapezoid(nzs,zs) != 1:\n", " print(np.trapezoid(nzs,zs))\n", " # normalize if not normalized\n", " nzs_norm = nzs/np.trapezoid(nzs,zs)\n", " else: \n", " nzs_norm\n", "\n", " np.savetxt(path_to_class_sz_files+f'/dndz_quaia_{i}.txt',np.c_[zs,nzs_norm])" ] }, { "cell_type": "code", "execution_count": 49, "id": "48316f10-1d49-4746-9132-018b6758ba28", "metadata": {}, "outputs": [], "source": [ "import classy_szfast\n", "import classy_sz" ] }, { "cell_type": "code", "execution_count": 51, "id": "cf8fb267-f0f6-4d49-9641-168298abdbee", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from classy_sz import Class\n", "import os\n", "import time\n", "from scipy.integrate import simpson\n", "import numpy as np\n", "\n", "font = {'size' : 16, 'family':'STIXGeneral'}\n", "axislabelfontsize='large'\n", "matplotlib.rc('font', **font)\n", "plt.rcParams.update({\n", " \"text.usetex\": True,\n", " \"font.family\": \"sans-serif\",\n", " \"font.sans-serif\": [\"Helvetica\"]})\n", "\n", "\n", "def l_to_dl(lp):\n", " if type(lp) == list:\n", " lp = np.asarray(lp)\n", " return lp*(lp+1.)/2./np.pi" ] }, { "cell_type": "code", "execution_count": 55, "id": "a8b3866f-f96e-429a-864b-7cb1f2e2fe68", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The history saving thread hit an unexpected error (OperationalError('unable to open database file')).History will not be written to the database.\n" ] } ], "source": [ "# path_to_class_sz = \"/your/path/class_sz/class-sz/\"\n", "# path_to_class_sz_files = path_to_class_sz+\"class_sz_auxiliary_files/excludes/galaxies/\"" ] }, { "cell_type": "code", "execution_count": 56, "id": "15702263-f2ce-46fd-ac2e-2d6fff66d4f2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'/Users/boris/class_sz_data_directory/class_sz/class-sz/class_sz_auxiliary_files/includes/dndz_quaia_'" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "path_to_class_sz_files+f'dndz_quaia_'" ] }, { "cell_type": "code", "execution_count": 57, "id": "747c3cf1-e714-4972-8651-f95027ff6241", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# for z dependence \n", "# set 'has_tracer_bias_zdependence = 1'\n", "# this is hard coded in perturbations.c \n", "\n", "cosmo_params = {\n", "'omega_b': 0.022,\n", "'omega_cdm': 0.122,\n", "'H0': 67.5, \n", "'tau_reio': 0.0561,\n", "'ln10^{10}A_s': 3.047,\n", "'n_s': 0.965,\n", "}\n", "\n", "class_sz = Class()\n", "\n", "class_sz.set(cosmo_params)\n", "\n", "\n", "\n", "\n", "class_sz.set({\n", "'output' : 'galn_galn_hf,galn_lens_hf',\n", "'galaxy_samples_list_num' : 6, # the number of galaxy samples\n", "'galaxy_samples_list' : '0,1,2,3,4,5', # the id string of each sample, can be any integer\n", "'full_path_and_prefix_to_dndz_ngal': path_to_class_sz_files+f'dndz_quaia_',\n", "})\n", "\n", "class_sz.set({# class_sz parameters:\n", " \n", "'z_min' : 0.,\n", "'z_max' : 4.635,\n", "\n", "'effective_galaxy_bias_ngal_0' : 1.,\n", "'effective_galaxy_bias_ngal_1' : 1.,\n", "'effective_galaxy_bias_ngal_2' : 1.,\n", "'effective_galaxy_bias_ngal_3' : 1.,\n", "'effective_galaxy_bias_ngal_4' : 1.,\n", "'effective_galaxy_bias_ngal_5' : 1.,\n", " \n", " \n", "'dlogell' : 0.1,\n", "'ell_max' : 5000.0,\n", "'ell_min' : 2.0,\n", "'redshift_epsrel' : 1e-4,\n", "'ndim_redshifts': 30,\n", "'ngal_ngal_auto_only' : 1,\n", "\n", "# 'has_tracer_bias_zdependence': 1, \n", "'non_linear' : 'hmcode',\n", "'cosmo_model' : 1,\n", "\n", " })" ] }, { "cell_type": "code", "execution_count": 58, "id": "95406aad-d95a-466a-b402-6e1e67e4aca3", "metadata": {}, "outputs": [], "source": [ "# class_sz.pars" ] }, { "cell_type": "code", "execution_count": 59, "id": "ddc59bfb-a0e3-4e3e-beec-2bd51a6043e7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 373 ms, sys: 61 ms, total: 434 ms\n", "Wall time: 318 ms\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/boris/venvdir/class_sz_312_brew/lib/python3.12/site-packages/mcfit/mcfit.py:130: UserWarning: use backend='jax' if desired\n", " warnings.warn(\"use backend='jax' if desired\")\n" ] } ], "source": [ "%%time\n", "class_sz.compute_class_szfast()\n", "# class_sz.compute()\n", "\n", "\n", "cl_galn_galn = class_sz.cl_galn_galn()\n", "cl_galn_lens = class_sz.cl_galn_lens()" ] }, { "cell_type": "code", "execution_count": 67, "id": "ec2ec659-4b2e-4adf-bed9-18eea7861f43", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "fig, axes = plt.subplots(figsize=(10, 7), sharex=True, \n", " sharey=True, \n", " ncols=3, \n", " nrows=2,\n", " )\n", "plt.subplots_adjust(left=0.1,\n", " bottom=0.1,\n", " right=0.9,\n", " top=0.9,\n", " wspace=0.4,\n", " hspace=0.4)\n", "\n", "ik = 0\n", "for i in range(2):\n", " for j in range(3):\n", " \n", " # axes[i, j].plot(x, np.sin((i+j) *x))\n", " axes[i, j].set_title(ik,size=15)\n", " axes[i, j].set_xlabel(r\"$\\ell$\",fontsize=18)\n", " axes[i, j].set_ylabel(r\"$C_l^{gg}$\",fontsize=18)\n", "\n", " axes[i, j].grid()\n", " #\n", " cl = cl_galn_galn[f'{ik}x{ik}']\n", " fac = np.asarray(cl['ell'])*(np.asarray(cl['ell'])+1.)/2./np.pi\n", " axes[i, j].loglog(cl['ell'],np.asarray(cl['hf'])/fac,'r-',label=r'hf')\n", " axes[i, j].legend(loc=1,fontsize=12)\n", " ik+=1" ] }, { "cell_type": "code", "execution_count": 71, "id": "914cd828-5262-47f6-96d2-bf54238c39d7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_dim = len(cl_galn_lens.keys())\n", "fig, axes = plt.subplots(figsize=(10, 7), \n", " sharex=True, \n", " sharey=True, \n", " ncols=3, \n", " nrows=2,\n", " )\n", "plt.subplots_adjust(\n", " hspace=0.4)\n", "\n", "ik = 0\n", "for i in range(2):\n", " for j in range(3):\n", " kk = list(cl_galn_lens.keys())[ik]\n", " ik+=1\n", " # axes[i, j].plot(x, np.sin((i+j) *x))\n", " axes[i,j].set_title(kk,size=9)\n", " axes[i,j].set_xlabel(r\"$\\ell$\",fontsize=18)\n", " axes[i,j].set_ylabel(r\"$C_l^{gk} \\,\\,\\, [\\mathrm{units}]$\",fontsize=18)\n", "\n", " axes[i,j].grid()\n", "\n", " cl = cl_galn_lens[kk]\n", " fac = np.asarray(cl['ell'])*(np.asarray(cl['ell'])+1.)/2./np.pi\n", " axes[i,j].loglog(cl['ell'],np.asarray(cl['hf'])/fac,'r-',label=r'hf')\n", "\n", "\n", " axes[i,j].legend(loc=1,fontsize=12)" ] } ], "metadata": { "kernelspec": { "display_name": "Python (venv_class_sz)", "language": "python", "name": "venv_class_sz312" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.8" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }