diff --git a/examples/test_coordinate.ipynb b/examples/test_coordinate.ipynb index 2b7c093b3..6f4058199 100644 --- a/examples/test_coordinate.ipynb +++ b/examples/test_coordinate.ipynb @@ -1,10 +1,33 @@ { "cells": [ + { + "cell_type": "markdown", + "id": "2c4a9006-fb3e-4675-8dca-94c0ae1a88fe", + "metadata": {}, + "source": [ + "****Tests of coordinate system effects on shear profiles****\n", + "\n", + "Author: Tomomi Sunayama, July 15, 2024\n", + "\n", + "Tested and documented by: Camille Avestruz, July 16, 2024\n", + "\n", + "\n", + "This notebook illustrates the impact of having an incorrect coordinate system when calculating shear profiles. The default coordinate system for `CLMM` is the pixel coordinate system. This is consistent with DC2 catalogs. However, if we input a catalog that assumes a sky coordinate system and use the default pixel coordinate system (or vice versa), the signal of shear around a cluster disappears because the signal essentially looks random.\n", + "\n", + "\n", + "We test:\n", + "- CosmoDC2 source galaxies with shears extracted from `TXPipe` for a single galaxy cluster (pixel coordinate system)\n", + "- Example source galaxies for galaxy clusters from a [Summer School](https://github.com/oguri/wlcluster_tutorial) taught by Masamune Oguri (pixel coordinate system)\n", + "- HSC Y3 source galaxies with shears post processed by Tomomi Sunayama (sky coordinate system)" + ] + }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "7e26eafb-4609-4c3a-a36b-4f7849d759db", - "metadata": {}, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "import numpy as np\n", @@ -20,9 +43,11 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "e802529c-995e-4095-9e82-65f6a3a7f051", - "metadata": {}, + "metadata": { + "tags": [] + }, "outputs": [], "source": [ "from clmm import Cosmology\n", @@ -40,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "6ff8236d-3cef-4990-a6b2-a089aa8318ea", "metadata": {}, "outputs": [], @@ -50,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "8a18381a-a8cf-47c0-85bd-b745a565b041", "metadata": {}, "outputs": [], @@ -62,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "00d69ca3-43ef-4533-9fa3-2ec2d0d8bfce", "metadata": {}, "outputs": [], @@ -72,7 +97,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "e79f1e35-2eb1-44c5-b8f4-12b6688a88d6", "metadata": {}, "outputs": [], @@ -87,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "4fe65c42-d695-43fb-b269-5a7513dd05ac", "metadata": {}, "outputs": [], @@ -104,19 +129,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "b15c9144-ab4b-46cc-8f8e-5d2424b4028d", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['ra', 'dec', 'e1', 'e2', 'z', 'id', 'theta', 'et', 'ex']\n", - "['radius_min', 'radius', 'radius_max', 'gt', 'gt_err', 'gx', 'gx_err', 'z', 'z_err', 'n_src', 'W_l', 'gal_id']\n" - ] - } - ], + "outputs": [], "source": [ "# Create a GalaxyCluster.\n", "cluster = clmm.GalaxyCluster(\"Name of cluster\", cluster_ra, cluster_dec, cluster_z, galaxies)\n", @@ -140,21 +156,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "bab06128-681c-4774-b51f-a78f215d0e1c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig = plt.figure(figsize=(6, 4))\n", "ax = fig.add_axes((0, 0, 1, 1))\n", @@ -176,29 +181,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "a7a1350f-ba18-4ab4-8ec9-06d1b55466cc", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['ra', 'dec', 'e1', 'e2', 'z', 'id', 'theta', 'et', 'ex']\n", - "['radius_min', 'radius', 'radius_max', 'gt', 'gt_err', 'gx', 'gx_err', 'z', 'z_err', 'n_src', 'W_l', 'gal_id']\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "cluster2 = clmm.GalaxyCluster(\"Name of cluster\", cluster_ra, cluster_dec, cluster_z, galaxies)\n", "cluster2.compute_tangential_and_cross_components(coordinate_system='pixel')\n", @@ -249,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "493d1ce7-288e-4fe9-8e49-c01702f31614", "metadata": {}, "outputs": [], @@ -265,7 +251,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "4c22f1f2-9ca5-4342-b18c-bb9e4e562040", "metadata": {}, "outputs": [], @@ -285,7 +271,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "5a3a4fd5-0a9b-4dfc-a4f8-4f853174420a", "metadata": {}, "outputs": [], @@ -307,43 +293,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "3cf8feb9-e4e2-4ab4-8fcd-498eb025d945", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['ra', 'dec', 'e1', 'e2', 'z', 'id', 'theta', 'et', 'ex']\n", - "['radius_min', 'radius', 'radius_max', 'gt', 'gt_err', 'gx', 'gx_err', 'z', 'z_err', 'n_src', 'W_l', 'gal_id']\n", - "['ra', 'dec', 'e1', 'e2', 'z', 'id', 'theta', 'et', 'ex']\n", - "['radius_min', 'radius', 'radius_max', 'gt', 'gt_err', 'gx', 'gx_err', 'z', 'z_err', 'n_src', 'W_l', 'gal_id']\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/tomomis/DESC/CLMM/clmm/utils/statistic.py:97: RuntimeWarning: invalid value encountered in sqrt\n", - " err_y = np.sqrt(stat_yerr2 + data_yerr2)\n", - "/home/tomomis/DESC/CLMM/clmm/utils/statistic.py:97: RuntimeWarning: invalid value encountered in sqrt\n", - " err_y = np.sqrt(stat_yerr2 + data_yerr2)\n", - "/home/tomomis/DESC/CLMM/clmm/galaxycluster.py:620: UserWarning: overwriting profile table.\n", - " warnings.warn(f\"overwriting {table_name} table.\")\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "cluster = clmm.GalaxyCluster(\"Name of cluster\", ra_cl, dec_cl, zl, galaxies)\n", "\n", @@ -417,7 +370,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "d98e194a-5d49-4a03-9ecf-8b8e244222c2", "metadata": {}, "outputs": [], @@ -427,7 +380,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "f4b75a91-bdf7-48ce-83e6-38910b1c6ab6", "metadata": {}, "outputs": [], @@ -437,7 +390,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "3b6c7291-1c2d-4658-b5ac-e9d0cb8dea95", "metadata": {}, "outputs": [], @@ -447,7 +400,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "6bb6d126-c1ce-496c-827e-fd5211763737", "metadata": {}, "outputs": [], @@ -461,35 +414,17 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "69f17557-2516-412d-8cdc-eb3dddaa9db4", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "FITS_rec([(210.82153548, -1.50709995, 1.3758055 , 0.08092293, 0.10835767, 3.90404153, 0.40599512, -0.25950627, 0.00161883, 0.00240663, 0.51526076),\n", - " (210.82056121, -1.50160523, 1.88367689, 0.32586864, -0.48157749, 4.3604162 , 0.40619245, -0.23469312, 0.00020266, 0.00030905, 0.53453451),\n", - " (210.82007918, -1.50101615, 1.50016546, -0.79242778, 0.51766521, 5.15488992, 0.42237528, -0.2440048 , -0.00142779, -0.0021891 , 0.78542656),\n", - " ...,\n", - " (216.26079337, 1.00315502, 0.96254927, 0.31060243, 0.3478314 , 6.60712636, 0.38664818, -0.092641 , -0.00031831, 0.00021643, 0.62135643),\n", - " (216.25910859, 1.00395592, 1.1813668 , -0.26740584, 0.51656026, 4.80835742, 0.44251237, -0.21937594, -0.00162366, 0.00109805, 0.87557292),\n", - " (216.25940093, 1.0079921 , 0.99761593, -0.2840299 , 0.08879771, 7.09330649, 0.37434303, -0.07929059, -0.00029026, 0.00019429, 0.65537405)],\n", - " dtype=(numpy.record, [('RA', '>f8'), ('Dec', '>f8'), ('photoz', '>f8'), ('e1', '>f8'), ('e2', '>f8'), ('weight', '>f8'), ('rms_e', '>f8'), ('bias_m', '>f8'), ('bias_c1', '>f8'), ('bias_c2', '>f8'), ('resolution', '>f8')]))" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "bg" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "fd5bc3d8-8cca-4811-ae1b-417247638c72", "metadata": {}, "outputs": [], @@ -501,7 +436,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "id": "b5f5f9fc-6894-449a-b8bb-bc52050f8871", "metadata": {}, "outputs": [], @@ -511,7 +446,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "d70b3a90-fafd-451e-82e1-1376fb440e84", "metadata": {}, "outputs": [], @@ -521,26 +456,10 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "e6ef0fed-b730-49f5-8a2c-18a8e79c5783", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([0.052344 , 0.05232376, 0.05232771, ..., 0.05231502, 0.05229537,\n", - " 0.0523324 ]),\n", - " array([-5.10269837e+14, 3.74729642e+14, 7.93988192e+14, ...,\n", - " -1.85411312e+15, -1.04588999e+15, 3.57887320e+14]),\n", - " array([-8.04914013e+13, 2.12751947e+15, -3.49523009e+15, ...,\n", - " 2.15420568e+14, -2.00476291e+15, -1.12910097e+15]))" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "cluster.compute_tangential_and_cross_components(\n", " shape_component1=\"e1\",\n", @@ -557,63 +476,20 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "743af48d-5284-4d50-9021-8ac29fb73dfa", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "GalaxyCluster: redmapper (ra=213.60024185108855, dec=-0.3776437738556696) at z=0.13786591589450836
> with columns: ra, dec, e1, e2, z, w_ls, sigma_c, theta, DS_t, DS_x
> 942595 source galaxies
\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "
radece1e2zw_lssigma_cthetaDS_tDS_x
float64float64float64float64float64float64float64float64float64float64
210.8215354813783-1.507099952861890.0809229314327240.108357667922973631.37580549716949463.90404152825045663819717759154588.00.052343996166526664-510269837472835.9-80491401304217.47
210.82056121413385-1.5016052298719280.3258686363697052-0.481577485799789431.88367688655853274.360416201804573715185997774635.50.052323758939702376374729641659883.752127519469704164.8
210.8200791752013-1.5010161459837505-0.79242777824401860.51766520738601681.50016546249389655.1548899168198793786756084614114.00.05232770871949701793988192157035.8-3495230088192310.0
210.82082842507086-1.499351539271592-0.21478858590126038-0.27781799435615540.89988982677459725.3976816418131184048244596644628.00.0523047180405910861406736556172689.5205050975125410.06
210.81366421204987-1.486697530468446-0.11857343465089798-0.45026871562004091.45029330253601074.6735797593947743799208116450610.50.052338687886906021503454867834197.0932166062918862.9
210.82153080389844-1.4913227048019966-0.22311601042747498-0.196154564619064331.34749770164489754.4733692358638283828189601580814.00.052241114184120211136284397081030.2-47672123899465.78
210.8268651999897-1.501174811980460.314684301614761350.77561128139495851.42318069934844975.3640982663276033806392172028079.50.05221897235809234-2915819118185433.5-1284022397943112.5
..............................
216.258300789683831.00083901591482530.08721566945314407-0.077599465847015381.52912282943725595.6373500704966023779944379486277.00.0522577992906234249872408193113.38438443726245903.6
216.259396419538350.9999853403805982-0.0273848474025726320.15972436964511870.94707649946212776.6407764738465194013311315504297.50.05226792179897288-460298853702158.06-459472651999120.3
216.262446184246220.99957660752332010.33249565958976746-0.57735550403594970.67695617675781256.918130835734684297717617748963.50.0523119108368251051199927517079551.22599815400529228.0
216.261724550090241.00380255258493770.25982549786567690.05825660750269891.04454123973846445.7630211134768333952866289854072.00.05233464968185971-779349759293608.6707450351035666.4
216.26079337106581.00315501993978850.310602426528930660.34783139824867250.96254926919937136.6071263615206764002742492387339.00.05231502118572001-1854113121978478.0215420568328459.12
216.25910858548511.0039559245191503-0.267405837774276730.51656025648117071.18136680126190194.8083574187340373887400523874391.00.05229536600182836-1045889994050995.4-2004762906288631.2
216.259400933969631.0079921001857866-0.284029901027679440.088797710835933690.99761593341827397.09330648762837253980224001222801.50.05233239633184208357887319685217.75-1129100971813180.0
" - ], - "text/plain": [ - "GalaxyCluster redmapper: (ra=213.60024185108855, dec=-0.3776437738556696) at z=0.13786591589450836\n", - "> with columns: ra, dec, e1, e2, z, w_ls, sigma_c, theta, DS_t, DS_x\n", - "> 942595 source galaxies" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "cluster" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "79c5afb9-927e-4d90-bfb0-2d556cd27a7c", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['radius_min', 'radius', 'radius_max', 'DS_t', 'DS_t_err', 'DS_x', 'DS_x_err', 'z', 'z_err', 'n_src', 'W_l']\n" - ] - } - ], + "outputs": [], "source": [ "seps = convert_units(cluster.galcat[\"theta\"], \"radians\", \"Mpc\", cluster.z, cosmo)\n", "\n", @@ -635,30 +511,10 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "id": "f4b3f0b1-c22f-406c-b6b7-b44a76394eed", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "\n", "fig = plt.figure(figsize=(6, 6))\n", @@ -692,7 +548,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": null, "id": "276c6b03-5612-45e1-b202-1464b8331550", "metadata": {}, "outputs": [], @@ -707,7 +563,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": null, "id": "878ea70c-99f9-45b7-aef7-b1e14ee4ad86", "metadata": {}, "outputs": [], @@ -718,7 +574,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": null, "id": "51dfa7d4-d8d0-4dab-ba6a-463c9da9d5c9", "metadata": {}, "outputs": [], @@ -728,7 +584,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": null, "id": "da723c9a-f702-463b-b1e3-5bcf404d0fe4", "metadata": {}, "outputs": [], @@ -747,18 +603,10 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": null, "id": "d1262e48-b5f0-4f31-8507-84af6bdeed80", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1\n" - ] - } - ], + "outputs": [], "source": [ "#TS: This is a simplified way to measure lensing signals (without worrying about resposivity, multiplicative and additive biases)\n", "d2r = np.pi/180.\n", @@ -839,7 +687,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": null, "id": "7caca756-3e93-4e8b-8502-fe1a001ba5c0", "metadata": {}, "outputs": [], @@ -855,21 +703,10 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "id": "366b3a5e-52e4-453d-ba93-e3c0a8cf22f5", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "#Figure for the lensing signal\n", "plt.figure(figsize=(6,6))\n", @@ -914,9 +751,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "desc-stack-weekly-latest", "language": "python", - "name": "python3" + "name": "desc-stack-weekly-latest" }, "language_info": { "codemirror_mode": { @@ -928,7 +765,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.0" + "version": "3.11.7" } }, "nbformat": 4,