{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Stage IV Galaxy Survey\n", "\n", "This example simulates a galaxy catalogue from a Stage IV Space Satellite Galaxy Survey such as *Euclid* and *Roman* combining the [galaxies](../1-basic/density.ipynb) and [lensing](../1-basic/lensing.ipynb) examples with galaxy ellipticities and galaxy shears, as well as using some auxiliary functions.\n", "\n", "The focus in this example is mock catalogue generation using auxiliary functions built for simulating Stage IV galaxy surveys." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup\n", "\n", "The setup is essentially the same as in the [cosmic shear](cosmic_shear.ipynb) example.\n", "\n", "In addition, we also show how to use auxiliary functions to generate tomographic redshift distributions and visibility masks." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import healpy as hp\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# use the CAMB cosmology that generated the matter power spectra\n", "import camb\n", "from cosmology.compat.camb import Cosmology\n", "\n", "# almost all GLASS functionality is available from the `glass` namespace\n", "import glass\n", "import glass.ext.camb\n", "\n", "# creating a numpy random number generator for sampling\n", "rng = np.random.default_rng(seed=42)\n", "\n", "# cosmology for the simulation\n", "h = 0.7\n", "Oc = 0.25\n", "Ob = 0.05\n", "\n", "# basic parameters of the simulation\n", "nside = lmax = 256\n", "\n", "# set up CAMB parameters for matter angular power spectrum\n", "pars = camb.set_params(\n", " H0=100 * h,\n", " omch2=Oc * h**2,\n", " ombh2=Ob * h**2,\n", " NonLinear=camb.model.NonLinear_both,\n", ")\n", "results = camb.get_background(pars)\n", "\n", "# get the cosmology from CAMB\n", "cosmo = Cosmology(results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up the matter sector." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# shells of 200 Mpc in comoving distance spacing\n", "zb = glass.distance_grid(cosmo, 0.0, 3.0, dx=200.0)\n", "\n", "# linear window functions for shells\n", "shells = glass.linear_windows(zb)\n", "\n", "# compute the angular matter power spectra of the shells with CAMB\n", "cls = glass.ext.camb.matter_cls(pars, lmax, shells)\n", "\n", "# apply discretisation to the full set of spectra:\n", "# - HEALPix pixel window function (`nside=nside`)\n", "# - maximum angular mode number (`lmax=lmax`)\n", "# - number of correlated shells (`ncorr=3`)\n", "cls = glass.discretized_cls(cls, nside=nside, lmax=lmax, ncorr=3)\n", "\n", "# set up lognormal fields for simulation\n", "fields = glass.lognormal_fields(shells)\n", "\n", "# compute Gaussian spectra for lognormal fields from discretised spectra\n", "gls = glass.solve_gaussian_spectra(fields, cls)\n", "\n", "# generator for lognormal matter fields\n", "matter = glass.generate(fields, gls, nside, ncorr=3, rng=rng)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up the lensing sector." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# this will compute the convergence field iteratively\n", "convergence = glass.MultiPlaneConvergence(cosmo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set up the galaxies sector." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# galaxy density (using 1/100 of the expected galaxy number density for Stage-IV)\n", "n_arcmin2 = 0.3\n", "\n", "# true redshift distribution following a Smail distribution\n", "z = np.arange(0.0, 3.0, 0.01)\n", "dndz = glass.smail_nz(z, z_mode=0.9, alpha=2.0, beta=1.5)\n", "dndz *= n_arcmin2\n", "\n", "# distribute dN/dz over the radial window functions\n", "ngal = glass.partition(z, dndz, shells)\n", "\n", "# compute tomographic redshift bin edges with equal density\n", "nbins = 10\n", "zbins = glass.equal_dens_zbins(z, dndz, nbins=nbins)\n", "\n", "# photometric redshift error\n", "sigma_z0 = 0.03\n", "\n", "# constant bias parameter for all shells\n", "bias = 1.2\n", "\n", "# ellipticity standard deviation as expected for a Stage-IV survey\n", "sigma_e = 0.27" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a visibility map typical of a space telescope survey, seeing both hemispheres, and low visibility in the galactic and ecliptic bands." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis = glass.vmap_galactic_ecliptic(nside)\n", "\n", "# checking the mask:\n", "hp.mollview(vis, title=\"Stage IV Space Survey-like Mask\", unit=\"Visibility\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "\n", "Simulate the galaxies with shears.\n", "In each iteration, get the quantities of interest to build our mock catalogue." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of galaxies sampled: 22,275,837\n" ] } ], "source": [ "# we will store the catalogue as a structured numpy array, initially empty\n", "catalogue = np.empty(\n", " 0,\n", " dtype=[\n", " (\"RA\", float),\n", " (\"DEC\", float),\n", " (\"Z_TRUE\", float),\n", " (\"PHZ\", float),\n", " (\"ZBIN\", int),\n", " (\"G1\", float),\n", " (\"G2\", float),\n", " ],\n", ")\n", "\n", "# simulate the matter fields in the main loop, and build up the catalogue\n", "for i, delta_i in enumerate(matter):\n", " # compute the lensing maps for this shell\n", " convergence.add_window(delta_i, shells[i])\n", " kappa_i = convergence.kappa\n", " gamm1_i, gamm2_i = glass.shear_from_convergence(kappa_i)\n", "\n", " # generate galaxy positions from the matter density contrast\n", " for gal_lon, gal_lat, gal_count in glass.positions_from_delta(\n", " ngal[i],\n", " delta_i,\n", " bias,\n", " vis,\n", " rng=rng,\n", " ):\n", " # generate random redshifts over the given shell\n", " gal_z = glass.redshifts(gal_count, shells[i], rng=rng)\n", "\n", " # generator photometric redshifts using a Gaussian model\n", " gal_phz = glass.gaussian_phz(gal_z, sigma_z0, rng=rng)\n", "\n", " # attach tomographic bin IDs to galaxies, based on photometric redshifts\n", " gal_zbin = np.digitize(gal_phz, np.unique(zbins)) - 1\n", "\n", " # generate galaxy ellipticities from the chosen distribution\n", " gal_eps = glass.ellipticity_intnorm(gal_count, sigma_e, rng=rng)\n", "\n", " # apply the shear fields to the ellipticities\n", " gal_she = glass.galaxy_shear(\n", " gal_lon,\n", " gal_lat,\n", " gal_eps,\n", " kappa_i,\n", " gamm1_i,\n", " gamm2_i,\n", " )\n", "\n", " # make a mini-catalogue for the new rows\n", " rows = np.empty(gal_count, dtype=catalogue.dtype)\n", " rows[\"RA\"] = gal_lon\n", " rows[\"DEC\"] = gal_lat\n", " rows[\"Z_TRUE\"] = gal_z\n", " rows[\"PHZ\"] = gal_phz\n", " rows[\"ZBIN\"] = gal_zbin\n", " rows[\"G1\"] = gal_she.real\n", " rows[\"G2\"] = gal_she.imag\n", "\n", " # add the new rows to the catalogue\n", " catalogue = np.append(catalogue, rows)\n", "\n", "print(f\"Total number of galaxies sampled: {len(catalogue):,}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Catalogue checks\n", "\n", "Here we can perform some simple checks at the catalogue level to see how our simulation performed." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# split dndz using the same Gaussian error model assumed in the sampling\n", "tomo_nz = glass.tomo_nz_gausserr(z, dndz, sigma_z0, zbins)\n", "\n", "# redshift distribution of tomographic bins & input distributions\n", "plt.figure()\n", "plt.title(\"redshifts in catalogue\")\n", "plt.ylabel(\"dN/dz - normalised\")\n", "plt.xlabel(\"z\")\n", "for i in range(nbins):\n", " in_bin = catalogue[\"ZBIN\"] == i\n", " plt.hist(\n", " catalogue[\"Z_TRUE\"][in_bin],\n", " histtype=\"stepfilled\",\n", " edgecolor=\"none\",\n", " alpha=0.5,\n", " bins=50,\n", " density=1,\n", " label=f\"cat. bin {i}\",\n", " )\n", "for i in range(nbins):\n", " plt.plot(z, (tomo_nz[i] / n_arcmin2) * nbins, alpha=0.5, label=f\"inp. bin {i}\")\n", "plt.plot(z, dndz / n_arcmin2 * nbins, ls=\"--\", c=\"k\")\n", "plt.legend(ncol=2)\n", "plt.show()" ] } ], "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 4 }