{ "cells": [ { "cell_type": "markdown", "id": "e0881798", "metadata": {}, "source": [ "# Computing third-order shear statistics on a shape catalog\n", "\n", "In this notebooks we compute the third-order shear correlation functions on a realistic shape catalog and transform them to the third-order aperture statistics." ] }, { "cell_type": "code", "execution_count": 1, "id": "951cab7c", "metadata": {}, "outputs": [], "source": [ "from astropy.table import Table\n", "from itertools import combinations_with_replacement\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "import orpheus" ] }, { "cell_type": "markdown", "id": "8d304229", "metadata": {}, "source": [ "## Obtaining a realistic mock shape catalog\n", "\n", "We will run this notebook using a mocks shape catalog from the [SLICS](https://slics.roe.ac.uk/) ensemble. First, let us download this catalog and read in its contents.\n", "\n", "**Note:** If you want to run the notebook yourself, you need to update the `savepath_SLICS` variable." ] }, { "cell_type": "code", "execution_count": 2, "id": "0642850c", "metadata": {}, "outputs": [], "source": [ "catname = \"GalCatalog_LOS1.fits\"\n", "path_to_SLICS = \"http://cuillin.roe.ac.uk/~jharno/SLICS/MockProducts/KiDS450/\" + catname\n", "savepath_SLICS = \"/vol/euclidraid4/data/lporth/HigherOrderLensing/Mocks/SLICS_KiDS450/\"" ] }, { "cell_type": "code", "execution_count": 3, "id": "26fc3d91", "metadata": {}, "outputs": [], "source": [ "#!wget {path_to_SLICS} -P {savepath_SLICS}" ] }, { "cell_type": "code", "execution_count": 4, "id": "77411b0d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['x_arcmin', 'y_arcmin', 'z_spectroscopic', 'z_photometric', 'shear1', 'shear2', 'eps_obs1', 'eps_obs2']\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: UnitsWarning: 'UNKNOWN' did not parse as fits unit: At col 0, Unit 'UNKNOWN' not supported by the FITS standard. If this is meant to be a custom unit, define it with 'u.def_unit'. To have it recognized inside a file reader or other code, enable it with 'u.add_enabled_units'. For details, see https://docs.astropy.org/en/latest/units/combining_and_defining.html [astropy.units.core]\n", "WARNING: UnitsWarning: 'UNKNOWN' did not parse as fits unit: At col 0, Unit 'UNKNOWN' not supported by the FITS standard. If this is meant to be a custom unit, define it with 'u.def_unit'. To have it recognized inside a file reader or other code, enable it with 'u.add_enabled_units'. For details, see https://docs.astropy.org/en/latest/units/combining_and_defining.html [astropy.units.core]\n" ] } ], "source": [ "slicscat = Table.read(savepath_SLICS + catname)\n", "print(slicscat.keys())" ] }, { "cell_type": "markdown", "id": "77a01781", "metadata": {}, "source": [ "## Initialize the catalog instance\n", "\n", "As we are dealing with an ellipticity catalog, we need to use the `SpinTracerCatalog` class and set the value of `spin` to two." ] }, { "cell_type": "code", "execution_count": 5, "id": "d5d9b6be", "metadata": {}, "outputs": [], "source": [ "shapecat = orpheus.SpinTracerCatalog(spin=2,\n", " pos1=slicscat[\"x_arcmin\"],\n", " pos2=slicscat[\"y_arcmin\"],\n", " tracer_1=slicscat[\"shear1\"],\n", " tracer_2=slicscat[\"shear2\"])" ] }, { "cell_type": "code", "execution_count": 6, "id": "093664bb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of galaxies:3070801 --> effective nbar: 8.530/arcmin^2 on 100.00 deg^2\n" ] } ], "source": [ "print(\"Number of galaxies:%i --> effective nbar: %.3f/arcmin^2 on %.2f deg^2\"%(\n", " shapecat.ngal, shapecat.ngal/(shapecat.len1*shapecat.len2), shapecat.len1*shapecat.len2/3600.))" ] }, { "cell_type": "markdown", "id": "372be668", "metadata": {}, "source": [ "## Computation of the shear 3pcf\n", "\n", "For computing the natural components of the third-order shear correlation functions we need to invoke the `GGGCorrelation` class. In principle, it is only required to define a binning for the 3pcf (given my the range of the bins and the number of bins).\n", "\n", "**Notes**\n", "\n", "* Instead of the number of bins you can also specify the logarithmic bin-width `binsize`. However, the final value of `binsize` might differ slightly from the provided one as we fix the values for the binning range and then choose the largest possible value of `binsize` that is smaller or equal to the input value for `binsize`.\n", "\n", "* If no further parameters are passed, the default setup chooses the some accelerations of the discrete multipole estimator renders fairly accurate results for the 3pcf itself and percent-level accuracy for the third-order aperture statistics. In case you want a different setup than the default results you can change the parameters of the parent `BinnedNPCF` class." ] }, { "cell_type": "code", "execution_count": 7, "id": "1b29ddae", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "orpheus.GGGCorrelation.__init__" ] }, { "cell_type": "code", "execution_count": 8, "id": "0956fb66", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "orpheus.BinnedNPCF.__init__" ] }, { "cell_type": "code", "execution_count": 9, "id": "2e454f55", "metadata": {}, "outputs": [], "source": [ "min_sep = 0.5\n", "max_sep = 150.\n", "binsize = 0.1\n", "nthreads=48" ] }, { "cell_type": "code", "execution_count": 10, "id": "23afcb06", "metadata": {}, "outputs": [], "source": [ "threepcf = orpheus.GGGCorrelation(n_cfs=4,\n", " min_sep=min_sep, max_sep=max_sep,binsize=binsize,\n", " nthreads=nthreads, verbosity=2)" ] }, { "cell_type": "code", "execution_count": 11, "id": "e32debc5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ".........|.........|.........|.........|.........|.........|.........|.........|.........|.........|\n", "CPU times: user 2h 1min 45s, sys: 7 s, total: 2h 1min 52s\n", "Wall time: 2min 36s\n" ] } ], "source": [ "%%time\n", "threepcf.process(shapecat)" ] }, { "cell_type": "markdown", "id": "7313793d", "metadata": {}, "source": [ "Once processed, the instance of `GGGCorrelation` contains the multipole components of the third-order shear correlators $\\Upsilon_{\\mu,n}$, as well as their nonrmalizations $\\mathcal{N}_n$ in their multipole basis. If required, we can use the `multiples2npcf` method to transform the to the real-space basis, in which they become the more well-known natural components $\\Gamma_{\\mu}$ of the shear 3PCF (Schneider 2003)." ] }, { "cell_type": "code", "execution_count": 12, "id": "14363ae6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 939 ms, sys: 6.03 ms, total: 945 ms\n", "Wall time: 27.7 ms\n" ] } ], "source": [ "%%time\n", "threepcf.multipoles2npcf()" ] }, { "cell_type": "markdown", "id": "ca947507", "metadata": {}, "source": [ "Unless otherwise specified, the projection of the shear is not altered - hence it is given in the projection favoured by the multipole estimator, which in `orpheus` is dubbed the `X`-projection. To transform it the the `centroid` projection we can use the `projectnpcf` methods.
\n", "The current projection can always be accessed by the `projection` attribute." ] }, { "cell_type": "code", "execution_count": 13, "id": "2a7308c2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Current 3PCF projection: Centroid\n", "Current 3PCF projection: Centroid\n", "CPU times: user 0 ns, sys: 247 µs, total: 247 µs\n", "Wall time: 247 µs\n" ] } ], "source": [ "%%time\n", "print(\"Current 3PCF projection: %s\"%threepcf.projection)\n", "threepcf.projectnpcf(\"Centroid\")\n", "print(\"Current 3PCF projection: %s\"%threepcf.projection)" ] }, { "cell_type": "markdown", "id": "0de80e3b", "metadata": {}, "source": [ "## Computation of the aperture mass\n", "\n", "The integral transormation between the shear 3PCF and the third-order aperture statistics can be done by calling the `GGGCorrelation.computeMap3` method. We can trigger the evauluation of the unequal scale statistics by setting `do_multiscale=True`, otherwise the equal-scale statistics are computed.\n", "\n", "**Notes**\n", "\n", "* In case you are only interested in obtaining the third-order aperture statistics, you can also directly call this method right after processing the shape catalog.\n", "\n", "* One should only trust the third-order aperture statistics for radii $R\\in[\\alpha\\,\\theta_{\\rm min}, \\beta\\,\\theta_{\\rm max}]$, where $\\alpha\\approx 5$ and $\\beta \\approx 0.125$. In the plot below this range is indicated by the dashed vertical lines.\n", "\n", "* Furthermore, the binning should be sufficiently fine, i.e. the value of the `GGGCorrelation.binsize` attribute should be less than `0.1` for an accuracy of about one per cent." ] }, { "cell_type": "code", "execution_count": 14, "id": "0f4511bd", "metadata": {}, "outputs": [], "source": [ "mapradii = np.geomspace(1,30,20)\n", "mapradii_multi = np.geomspace(1,32,6)" ] }, { "cell_type": "code", "execution_count": 15, "id": "b0ed8b38", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.72 s, sys: 144 ms, total: 4.87 s\n", "Wall time: 4.99 s\n" ] } ], "source": [ "%%time\n", "map3 = threepcf.computeMap3(mapradii)" ] }, { "cell_type": "code", "execution_count": 20, "id": "27893a69", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 20.6 s, sys: 37 ms, total: 20.7 s\n", "Wall time: 20.7 s\n" ] } ], "source": [ "%%time\n", "_map3_multi = threepcf.computeMap3(mapradii_multi,do_multiscale=True)\n", "map3_multi = orpheus.symmetrize_map3_multiscale(_map3_multi) # Symmetrize the output (Map3 is symmetric in the three aperture radii)" ] }, { "cell_type": "code", "execution_count": 22, "id": "aa4c9dc8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scaleB = 10 # Rescale the B-modes for better visualization\n", "scaleP = 10 # Rescale the parity-violating-modes for better visualization\n", "plt.semilogx(mapradii,mapradii*map3[0,0].real, label=r\"$\\left\\langle \\mathcal{M}_{\\rm ap}^3\\right\\rangle$\")\n", "plt.semilogx(mapradii,mapradii*scaleP*np.mean(map3[[1,2,3],0].real,axis=0), label=r\"$ %i \\times \\ \\left\\langle \\mathcal{M}_{\\times} \\mathcal{M}_{\\rm ap}^2\\right\\rangle$\"%scaleP)\n", "plt.semilogx(mapradii,mapradii*scaleB*np.mean(map3[[4,5,6],0].real,axis=0), label=r\"$ %i \\times \\ \\left\\langle \\mathcal{M}_{\\times}^2 \\mathcal{M}_{\\rm ap}\\right\\rangle$\"%scaleB)\n", "plt.semilogx(mapradii,mapradii*scaleP*map3[7,0].real, label=r\"$ %i \\times \\ \\left\\langle \\mathcal{M}_{\\times}^3 \\right\\rangle$\"%scaleP)\n", "plt.axvline(x=5*threepcf.min_sep, color=\"grey\",alpha=0.5,ls=\"--\")\n", "plt.axvline(x=0.125*threepcf.max_sep, color=\"grey\",alpha=0.5,ls=\"--\")\n", "plt.axhline(y=0,color=\"black\",ls=\"--\")\n", "plt.xlabel(r\"Aperture radius $\\theta$ [arcmin]\")\n", "plt.ylabel(r\"$\\theta \\ \\times \\ $ Third-order aperture statistics\")\n", "plt.ylim(-.1*np.max(mapradii*map3[0,0].real),1.1*np.max(mapradii*map3[0,0].real))\n", "plt.legend(loc='upper right')\n", "plt.show()\n", "\n", "\n", "scaleB = 5 # Rescale the B-modes for better visualization\n", "scaleP = 5 # Rescale the parity-violating-modes for better visualization\n", "norm = np.array([np.prod(mapradii_multi[list(c)]) for c in combinations_with_replacement(range(len(mapradii_multi)), 3)])**(1./3.) # Our normalization, (theta1*theta2*theta3)^(1/3)\n", "plt.plot(np.arange(len(norm)),norm*map3_multi[0,0].real, label=r\"$\\left\\langle \\mathcal{M}_{\\rm ap}^3\\right\\rangle$\")\n", "plt.plot(np.arange(len(norm)),norm*scaleP*np.mean(map3_multi[[1,2,3],0].real,axis=0), label=r\"$ %i \\times \\ \\left\\langle \\mathcal{M}_{\\times} \\mathcal{M}_{\\rm ap}^2\\right\\rangle$\"%scaleP)\n", "plt.plot(np.arange(len(norm)),norm*scaleB*np.mean(map3_multi[[4,5,6],0].real,axis=0), label=r\"$ %i \\times \\ \\left\\langle \\mathcal{M}_{\\times}^2 \\mathcal{M}_{\\rm ap}\\right\\rangle$\"%scaleB)\n", "plt.plot(np.arange(len(norm)),norm*scaleP*map3_multi[7,0].real, label=r\"$ %i \\times \\ \\left\\langle \\mathcal{M}_{\\times}^3 \\right\\rangle$\"%scaleP)\n", "plt.axvline(x=20, color=\"grey\",alpha=0.5,ls=\"--\")\n", "plt.axvline(x=54, color=\"grey\",alpha=0.5,ls=\"--\")\n", "plt.axhline(y=0,color=\"black\",ls=\"--\")\n", "plt.xlabel(r\"Aperture radius configuration\")\n", "plt.ylabel(r\"$(\\theta_1 \\theta_2 \\theta_3)^{1/3} \\ \\times \\ $ Third-order aperture statistics\")\n", "plt.ylim(-.1*np.max(norm*map3_multi[0,0].real),1.1*np.max(norm*map3_multi[0,0].real))\n", "plt.legend(loc='upper right')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "506ccc07", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "orpheus_devel", "language": "python", "name": "orpheus_devel" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 5 }