{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Calculator mode\n", "Although CCL can generate basic cosmological quantities (background expansion, linear and non-linear matter power spectra) from a set of cosmological parameters, it is also possible to ingest those from an external code (e.g. `hi_class` if you're interested in modified gravity), and process them into more complex observables (shear power spectra, cluster number counts, halo model power spectra...). This notebook demonstrates how to do that." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pyccl as ccl\n", "import pylab as plt\n", "import matplotlib.cm as cm\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start by loading CLASS, which we'll use to generate background quantities and power spectra." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import classy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's compute a few quantities from CLASS for the following cosmological parameters: $\\Omega_c=0.25$, $\\Omega_b=0.05$, $h=0.67$, $A_s=2.4\\times10^{-9}$, $n_s=0.96$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "Omega_c = 0.25\n", "Omega_b = 0.05\n", "h = 0.67\n", "A_s = 2.4E-9\n", "n_s = 0.96\n", "\n", "\n", "params = {\n", " \"output\": \"mPk\",\n", " \"P_k_max_1/Mpc\": 50.,\n", " \"z_max_pk\": 99,\n", " \"modes\": \"s\",\n", " \"lensing\": \"no\",\n", " \"h\": h,\n", " \"Omega_cdm\": Omega_c,\n", " \"Omega_b\": Omega_b,\n", " \"Omega_k\": 0.,\n", " \"n_s\": n_s,\n", " \"N_ur\": 3.046,\n", " \"T_cmb\": 2.725,\n", " \"A_s\": A_s,\n", " \"non linear\": \"halofit\"\n", "}\n", "model = classy.Class()\n", "model.set(params)\n", "model.compute()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now calculate distances, expansion rate and power spectra" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Background\n", "bg = model.get_background()\n", "a_bg = 1/(1+bg['z'])\n", "msk = a_bg > 0.002\n", "a_bg = a_bg[msk]\n", "# Distances\n", "chi = bg['comov. dist.'][msk]\n", "# Expansion rate\n", "h_over_h0 = bg['H [1/Mpc]'][msk]\n", "h_over_h0 /= h_over_h0[-1]\n", "\n", "# Power spectra\n", "k_arr = np.logspace(-5., np.log10(49.), 200)\n", "nk = len(k_arr)\n", "a_arr = np.linspace(0.1, 1., 100)\n", "# Linear\n", "pkln = np.array([[model.pk_lin(k, 1./a-1)\n", " for k in k_arr]\n", " for a in a_arr])\n", "# non-linear\n", "pknl = np.array([[model.pk(k, 1./a-1)\n", " for k in k_arr]\n", " for a in a_arr])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK! Now let's create a `CosmologyCalculator` object. These objects take, as input, a set of cosmological parameters, as well as arrays containing background quantities (comoving distance and expansion rate), linear, and non-linear power spectra" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "cosmo_cal = ccl.CosmologyCalculator(Omega_c=Omega_c, Omega_b=Omega_b, h=h, A_s=A_s, n_s=n_s,\n", " background={'a': a_bg, 'chi': chi, 'h_over_h0': h_over_h0},\n", " pk_linear={'a': a_arr, 'k': k_arr,\n", " 'delta_matter:delta_matter': pkln},\n", " pk_nonlin={'a': a_arr, 'k': k_arr,\n", " 'delta_matter:delta_matter': pknl})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that, when passing power spectrum information, you define the power spectrum as `delta_matter:delta_matter`. `Cosmology` objects can in fact store an arbitrary number of power spectra between pairs of quantities. Currently the only useful one is the matter overdensity power spectrum, but this will change in the future.\n", "\n", "Let's also create a standard `Cosmology` object for reference." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "cosmo_ref = ccl.Cosmology(Omega_c=Omega_c, Omega_b=Omega_b, h=h, A_s=A_s, n_s=n_s,\n", " transfer_function='boltzmann_class')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's compare some quantities calculated with both objects. We will do distances, $P(k)$s and $C_\\ell$s." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "zs = np.linspace(0., 1.5, 128)\n", "chi1 = ccl.comoving_radial_distance(cosmo_cal, 1./(1+zs))\n", "chi2 = ccl.comoving_radial_distance(cosmo_ref, 1./(1+zs))\n", "\n", "ks = np.geomspace(1E-3, 3., 128)\n", "pkln1 = ccl.linear_matter_power(cosmo_cal, ks, 1./(1+0.2))\n", "pkln2 = ccl.linear_matter_power(cosmo_ref, ks, 1./(1+0.2))\n", "\n", "ks = np.geomspace(1E-3, 3., 128)\n", "pknl1 = ccl.nonlin_matter_power(cosmo_cal, ks, 1./(1+0.2))\n", "pknl2 = ccl.nonlin_matter_power(cosmo_ref, ks, 1./(1+0.2))\n", "\n", "ls = np.unique(np.geomspace(2, 2000, 128).astype(int)).astype(float)\n", "znz = np.linspace(0., 1., 1024)\n", "nnz = np.exp(-0.5*((znz-0.5)/0.05)**2)\n", "t1 = ccl.WeakLensingTracer(cosmo_cal, dndz=(znz, nnz))\n", "t2 = ccl.WeakLensingTracer(cosmo_ref, dndz=(znz, nnz))\n", "cl1 = ccl.angular_cl(cosmo_cal, t1, t1, ls)\n", "cl2 = ccl.angular_cl(cosmo_ref, t2, t2, ls)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(zs, chi1, 'b-', label='Calculator')\n", "plt.plot(zs, chi1, 'y--', label='Standard Cosmology')\n", "plt.legend(loc='lower right')\n", "plt.xlabel(r'$z$', fontsize=15)\n", "plt.ylabel(r'$\\chi(z)$', fontsize=15);\n", "\n", "plt.figure()\n", "plt.plot(ks, pkln1, 'b-', label='Calculator')\n", "plt.plot(ks, pkln2, 'y--', label='Standard Cosmology')\n", "plt.xlabel(r'$k$', fontsize=15)\n", "plt.ylabel(r'$P_{\\rm lin}(k)$', fontsize=15)\n", "plt.legend(loc='lower left')\n", "plt.loglog()\n", "\n", "plt.figure()\n", "plt.plot(ks, pknl1, 'b-', label='Calculator')\n", "plt.plot(ks, pknl2, 'y--', label='Standard Cosmology')\n", "plt.xlabel(r'$k$', fontsize=15)\n", "plt.ylabel(r'$P_{\\rm NL}(k)$', fontsize=15)\n", "plt.legend(loc='lower left')\n", "plt.loglog()\n", "\n", "plt.figure()\n", "plt.plot(ls, cl1, 'b-', label='Calculator')\n", "plt.plot(ls, cl2, 'y--', label='Standard Cosmology')\n", "plt.xlabel(r'$\\ell$', fontsize=15)\n", "plt.ylabel(r'$C_\\ell$', fontsize=15)\n", "plt.legend(loc='lower left')\n", "plt.loglog()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.9.16" } }, "nbformat": 4, "nbformat_minor": 2 }