{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Nonlinear bias using generalized tracers and power spectra\n", "This example showcases how to do nonlinear biasing with the generalized tracers and 2D power spectra implemented in CCL.\n", "\n", "For more on generalized tracers and power spectra, see GeneralizedTracers.ipynb" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pylab as plt\n", "import pyccl as ccl\n", "import pyccl.nl_pt as pt\n", "import pyccl.ccllib as lib\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the perturbation theory functionality lives within `pyccl.nl_pt`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminaries\n", "Let's just begin by setting up a cosmology and some biases" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Cosmology\n", "cosmo = ccl.Cosmology(Omega_c=0.27, Omega_b=0.045, h=0.67, A_s=2.1e-9, n_s=0.96)\n", "\n", "# Biases for number counts \n", "b_1 = 2.0 # constant values for now\n", "b_2 = 1.0\n", "b_s = 1.0\n", "\n", "# Biases for IAs. Will be converted to the input c_IA values below.\n", "a_1 = 1.\n", "a_2 = 0.5\n", "a_d = 0.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PT tracers\n", "Power spectra are Fourier-space correlations between two quantities. In CCL the quantities you want to correlate are defined in terms of so-called `PTTracers`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### IA normalization\n", "But before that, a few notes about the normalization of the IA biases" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Define a redshift range and associated growth factor:\n", "z = np.linspace(0,1,128)\n", "gz = ccl.growth_factor(cosmo, 1./(1+z))\n", "\n", "# Let's convert the a_IA values into the correctly normalized c_IA values:\n", "Om_m = cosmo['Omega_m']\n", "rho_crit = lib.cvar.constants.RHO_CRITICAL\n", "rho_m = lib.cvar.constants.RHO_CRITICAL * cosmo['Omega_m']\n", "Om_m_fid = 0.3 # or could use DES convention and just remove Om_m/Om_m_fid\n", "\n", "c_1_t = -1*a_1*5e-14*rho_crit*cosmo['Omega_m']/gz\n", "c_d_t = -1*a_d*5e-14*rho_crit*cosmo['Omega_m']/gz\n", "c_2_t = a_2*5*5e-14*rho_crit*cosmo['Omega_m']**2/(Om_m_fid*gz**2) # Blazek2019 convention\n", "c_2_t = a_2*5*5e-14*rho_crit*cosmo['Omega_m']/(gz**2) # DES convention\n", "\n", "# Or we just use the built-in function for IA normalization\n", "c_1,c_d,c_2 = pt.translate_IA_norm(cosmo, z=z, a1=a_1, a1delta=a_d, a2=a_2,\n", " Om_m2_for_c2 = False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tracers\n", "OK, now that we have the biases, let's create three `PTTracer`s. One for number counts (galaxy clustering), one for intrinsic alignments and one for matter." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Number counts\n", "ptt_g = pt.PTNumberCountsTracer(b1=b_1, b2=b_2, bs=b_s)\n", "\n", "# Intrinsic alignments\n", "ptt_i = pt.PTIntrinsicAlignmentTracer(c1=(z,c_1), c2=(z,c_2), cdelta=(z,c_d))\n", "ptt_i_nla = pt.PTIntrinsicAlignmentTracer(c1=(z,c_1)) # to compare using the standard WLTracer\n", "\n", "# Matter\n", "ptt_m = pt.PTMatterTracer()\n", "\n", "# Note that we've assumed constant biases for simplicity, but you can also make them z-dependent:\n", "bz = b_1 / gz\n", "ptt_g_b = pt.PTNumberCountsTracer(b1=(z, bz))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Eulerian PT calculator\n", "Another object, `EulerianPTCalculator` takes care of initializing FastPT. You'll need one of these before you can compute P(k)s." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# The `with_NC` and `with_IA` flags will tell FastPT to initialize the right things.\n", "# `log10k_min/max and nk_per_decade will define the sampling in k you should use.\n", "ptc = pt.EulerianPTCalculator(with_NC=True, with_IA=True,\n", " log10k_min=-4, log10k_max=2, nk_per_decade=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to initialize the `ptc` object, i.e. essentially precomputing some of the stuff it needs to get you PT power spectra." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "ptc.update_ingredients(cosmo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PT power spectra\n", "Let's compute some power spectra! We do so by calling `get_biased_pk2d` with whatever tracers you want to cross-correlate. This will return a `Pk2D` object that you can then evaluate at whatever scale and redshift you want." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Galaxies x galaxies.\n", "# If `tracer2` is missing, an auto-correlation for the first tracer is assumed.\n", "pk_gg = ptc.get_biased_pk2d(ptt_g)\n", "\n", "# Galaxies x matter\n", "pk_gm = ptc.get_biased_pk2d(ptt_g, tracer2=ptt_m)\n", "\n", "# Galaxies x IAs\n", "pk_gi = ptc.get_biased_pk2d(ptt_g, tracer2=ptt_i)\n", "\n", "# IAs x IAs\n", "pk_ii = ptc.get_biased_pk2d(ptt_i, tracer2=ptt_i) \n", "pk_ii_bb = ptc.get_biased_pk2d(ptt_i, tracer2=ptt_i, return_ia_bb=True)\n", "pk_ii_nla = ptc.get_biased_pk2d(ptt_i_nla, tracer2=ptt_i_nla)\n", "\n", "# IAs x matter\n", "pk_im = ptc.get_biased_pk2d(ptt_i, tracer2=ptt_m)\n", "\n", "# Matter x matter\n", "pk_mm = ptc.get_biased_pk2d(ptt_m, tracer2=ptt_m)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** FastPT is not yet able to compute IAs x galaxies in a consistent way. What CCL does is to use the full non-linear model for IAs, but use a linear bias for galaxies." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK, let's now plot a few of these!" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's plot everything at z=0\n", "\n", "ks = np.logspace(-3,2,512)\n", "ps = {}\n", "ps['gg'] = pk_gg(ks, 1., cosmo)\n", "ps['gi'] = pk_gi(ks, 1., cosmo)\n", "ps['gm'] = pk_gm(ks, 1., cosmo)\n", "ps['ii'] = pk_ii(ks, 1., cosmo)\n", "ps['im'] = pk_im(ks, 1., cosmo)\n", "ps['mm'] = pk_mm(ks, 1., cosmo)\n", "\n", "plt.figure()\n", "for pn, p in ps.items():\n", " plt.plot(ks, abs(p), label=pn)\n", "plt.loglog()\n", "plt.legend(loc='upper right', ncol=2,\n", " fontsize=13, labelspacing=0.1)\n", "plt.ylim([1E-2, 5E5])\n", "plt.xlabel(r'$k\\,\\,[{\\rm Mpc}^{-1}]$', fontsize=15)\n", "plt.ylabel(r'$P(k)\\,\\,[{\\rm Mpc}^{3}]$', fontsize=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute the B-mode power spectrum for intrinsic alignments:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(ks, pk_ii(ks, 1., cosmo), label='IA, $E$-modes')\n", "plt.plot(ks, pk_ii_bb(ks, 1., cosmo), label='IA, $B$-modes')\n", "plt.loglog()\n", "plt.legend(loc='lower left', fontsize=13)\n", "plt.ylim([1E-5, 5E0])\n", "plt.xlabel(r'$k\\,\\,[{\\rm Mpc}^{-1}]$', fontsize=15)\n", "plt.ylabel(r'$P(k)\\,\\,[{\\rm Mpc}^{3}]$', fontsize=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Angular power spectra\n", "We can now use these P(k)s to compute angular power spectra, passing them to `ccl.angular_cl`.\n", "Let's illustrate this specifically for the usual 3x2pt. We will define three standard tracers (not `PTTracer`s, but the ones used to compute angular power spectra), one for number counts, one for weak lensing shear, and one for intrinsic alignments, which is also a WeakLensingTracer. The first one will be associated with `PTNumberCountsTracer`, the second with `PTMatterTracer`, and the third with `PTIntrinsicAlignmentTracer`." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "z = np.linspace(0, 1.5, 1024)\n", "nz = np.exp(-((z-0.7)/0.1)**2)\n", "\n", "# Number counts\n", "# We give this one a bias of 1, since we've taken care of galaxy bias at the P(k) level.\n", "t_g = ccl.NumberCountsTracer(cosmo, has_rsd=False, dndz=(z, nz), bias=(z, np.ones_like(z)), mag_bias=None)\n", "\n", "# Lensing\n", "t_l = ccl.WeakLensingTracer(cosmo, dndz=(z, nz))\n", "\n", "# Intrinsic alignments\n", "# Note the required settings to isolate the IA term and set the IA bias to 1,\n", "# since we have added the IA bias terms at the P(k) level.\n", "t_i = ccl.WeakLensingTracer(cosmo, dndz=(z, nz), has_shear=False, ia_bias=(z, np.ones_like(z)), use_A_ia=False)\n", "t_i_nla = ccl.WeakLensingTracer(cosmo, dndz=(z, nz), has_shear=False, ia_bias=(z, np.ones_like(z)), use_A_ia=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now compute power spectra. Note how we pass the P(k)s we just calculated as `p_of_k_a`." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "ell = np.unique(np.geomspace(2,1000,100).astype(int)).astype(float)\n", "cls={}\n", "cls['gg'] = ccl.angular_cl(cosmo, t_g, t_g, ell, p_of_k_a=pk_gg)\n", "cls['gG'] = ccl.angular_cl(cosmo, t_g, t_l, ell, p_of_k_a=pk_gm)\n", "cls['GG'] = ccl.angular_cl(cosmo, t_l, t_l, ell, p_of_k_a=pk_mm)\n", "cls['GI'] = ccl.angular_cl(cosmo, t_l, t_i, ell, p_of_k_a=pk_im)\n", "cls['GI,NLA'] = ccl.angular_cl(cosmo, t_l, t_i_nla, ell)\n", "cls['II'] = ccl.angular_cl(cosmo, t_i, t_i, ell, p_of_k_a=pk_ii)\n", "cls['II,NLA'] = ccl.angular_cl(cosmo, t_i_nla, t_i_nla, ell)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot away!" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "for cn, c in cls.items():\n", " if c[0]>0:\n", " plt.plot(ell, c, label=cn)\n", " else:\n", " plt.plot(ell, abs(c), '--', label=cn)\n", "plt.loglog()\n", "plt.legend(loc='lower left', ncol=1, fontsize=13)\n", "plt.xlabel(r'$\\ell$', fontsize=15)\n", "plt.ylabel(r'$C_\\ell$', fontsize=15)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lagrangian PT calculator\n", "Another object, `LagrangianPTCalculator` takes care of initializing velocileptors. You'll need one of these before you can compute P(k)s." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "# `log10k_min/max and nk_per_decade will define the sampling in k you should use.\n", "ptc = pt.LagrangianPTCalculator(log10k_min=-4, log10k_max=2, nk_per_decade=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to initialize the `ptc` object, i.e. essentially precomputing some of the stuff it needs to get you PT power spectra." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "ptc.update_ingredients(cosmo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PT power spectra\n", "Let's compute some power spectra! We do so by calling `get_pt_pk2d` with whatever tracers you want to cross-correlate. This will return a `Pk2D` object that you can then evaluate at whatever scale and redshift you want." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "# Galaxies x galaxies.\n", "# If `tracer2` is missing, an auto-correlation for the first tracer is assumed.\n", "pk_gg = ptc.get_biased_pk2d(ptt_g)\n", "\n", "# Galaxies x matter\n", "pk_gm = ptc.get_biased_pk2d(ptt_g, tracer2=ptt_m)\n", "\n", "# Matter x matter\n", "pk_mm = ptc.get_biased_pk2d(ptt_m, tracer2=ptt_m)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** `LagrangianPTCalculator` does not calculate IA power spectra." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK, let's now plot a few of these!" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's plot everything at z=0\n", "\n", "ks = np.logspace(-3,0,512)\n", "ps = {}\n", "ps['gg'] = pk_gg(ks, 1., cosmo)\n", "ps['gm'] = pk_gm(ks, 1., cosmo)\n", "ps['mm'] = pk_mm(ks, 1., cosmo)\n", "\n", "plt.figure()\n", "for pn, p in ps.items():\n", " plt.plot(ks, abs(p), label=pn)\n", "plt.loglog()\n", "plt.legend(loc='upper right', ncol=2,\n", " fontsize=13, labelspacing=0.1)\n", "# plt.ylim([1E-2, 5E5])\n", "plt.xlabel(r'$k\\,\\,[{\\rm Mpc}^{-1}]$', fontsize=15)\n", "plt.ylabel(r'$P(k)\\,\\,[{\\rm Mpc}^{3}]$', fontsize=15)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Angular power spectra\n", "We can now use these P(k)s to compute angular power spectra, passing them to `ccl.angular_cl`.\n", "Let's illustrate this specifically for the usual 3x2pt. We will define two standard tracers (not `PTTracer`s, but the ones used to compute angular power spectra), one for number counts, one for weak lensing shear. The first one will be associated with `PTNumberCountsTracer`, the second with `PTMatterTracer`." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "z = np.linspace(0, 1.5, 1024)\n", "nz = np.exp(-((z-0.7)/0.1)**2)\n", "\n", "# Number counts\n", "# We give this one a bias of 1, since we've taken care of galaxy bias at the P(k) level.\n", "t_g = ccl.NumberCountsTracer(cosmo, has_rsd=False, dndz=(z, nz), bias=(z, np.ones_like(z)), mag_bias=None)\n", "\n", "# Lensing\n", "t_l = ccl.WeakLensingTracer(cosmo, dndz=(z, nz))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now compute power spectra. Note how we pass the P(k)s we just calculated as `p_of_k_a`." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "ell = np.unique(np.geomspace(2,1000,100).astype(int)).astype(float)\n", "cls={}\n", "cls['gg'] = ccl.angular_cl(cosmo, t_g, t_g, ell, p_of_k_a=pk_gg)\n", "cls['gG'] = ccl.angular_cl(cosmo, t_g, t_l, ell, p_of_k_a=pk_gm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot away!" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "for cn, c in cls.items():\n", " if c[0]>0:\n", " plt.plot(ell, c, label=cn)\n", " else:\n", " plt.plot(ell, abs(c), '--', label=cn)\n", "plt.loglog()\n", "plt.legend(loc='lower left', ncol=1, fontsize=13)\n", "plt.xlabel(r'$\\ell$', fontsize=15)\n", "plt.ylabel(r'$C_\\ell$', fontsize=15)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "ccl-dev", "language": "python", "name": "ccl-dev" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 2 }