{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The SimIM Interface for Halo Catalogs\n", "\n", "One of **SimIM**'s features is a uniform format for cosmological simulations. Once simulations are written into this format the ``simim.siminterface.SimHandler`` class can interface with any simulation in a homogeneous manner.\n", "\n", "This tutorial demonstrates some basic features of the SimHandlers and SnapHandlers **SimIM** uses. Many of these concepts can also be applied to interacting with light cones built in **SimIM**.\n", "\n", "In this example and throughout the **SimIM** documentation we use TNG100-3-Dark simulation. This is a simulation box with 100 Mpc sides, a dark matter particle mass of $4\\times10^8$ $M_\\odot$, and no Baryonic physics. We use this simulation because the total data volume is relatively small (~3 GB compared to ~1 TB for the full physics, full resolution TNG300-1 simulation). For most scientific applications it is advisable to utilize a higher resolution simulation. However the smaller, low-resolution TNG100-3 can be downloaded, formatted, and loaded much more quickly, making it useful for demonstration and testing purposes." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import textwrap\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rcParams\n", "pltsty = {\n", " 'font.size' : 18,\n", "\n", " # Axis appearance\n", " 'xtick.direction' : 'in',\n", " 'ytick.direction' : 'in',\n", " 'xtick.top' : True,\n", " 'ytick.right' : True,\n", "\n", " # Legends\n", " 'legend.frameon' : False,\n", "\n", " # Lines\n", " 'lines.dashed_pattern' : [5,3],\n", "}\n", "rcParams.update(pltsty)\n", "\n", "# We've downloaded and formatted the TNG100-3-Dark simulation\n", "# in a previous tutorial. Now we can simply initialize a \n", "# SimHandler and hit the ground running\n", "import simim.siminterface as sim\n", "tng100 = sim.SimHandler('TNG100-3-Dark')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation and Snapshot Metadata\n", "\n", "A variety of metadata is stored in the SimHandler instance:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "box_edge: 75.0\n", "cosmo_h: 0.6774\n", "cosmo_name: Planck2015\n", "cosmo_omega_baryon: 0.0486\n", "cosmo_omega_lambda: 0.6911\n", "cosmo_omega_matter: 0.3089\n", "groupcat_number_files: 4\n", "name: TNG100-3-Dark\n", "number_snaps: 100\n", "snapshots: [( 0, 2.0046492e+01, 1.7087862e+01, 2.0046492e+01, 0.17781216, 0.22342461, 7250.3267 , 7434.8086 , 7250.3267 , 7434.8086 )\n", " ( 1, 1.4989173e+01, 1.3289812e+01, 1.7087862e+01, 0.22342461, 0.3186268 , 6933.908 , 7250.3267 , 6933.908 , 7250.3267 )\n", " ( 2, 1.1980213e+01, 1.1452663e+01, 1.3289812e+01, 0.3186268 , 0.39193386, 6731.1284 , 6933.908 , 6731.1284 , 6933.908 )\n", " ( 3, 1.0975643e+01, 1.0460055e+01, 1.1452663e+01, 0.39193386, 0.44409138, 6601.795 , 6731.1284 , 6601.795 , 6731.1284 )\n", " ( 4, 9.9965906e+00, 9.6818905e+00, 1.0460055e+01, 0.44409138, 0.49361545, 6488.039 , 6601.795 , 6488.039 , 6601.795 )\n", " ( 5, 9.3887711e+00, 9.1909819e+00, 9.6818905e+00, 0.49361545, 0.5297872 , 6409.671 , 6488.039 , 6409.671 , 6488.039 )\n", " ( 6, 9.0023403e+00, 8.7160978e+00, 9.1909819e+00, 0.5297872 , 0.56917566, 6328.2827 , 6409.671 , 6328.2827 , 6409.671 )\n", " ( 7, 8.4494762e+00, 8.2243586e+00, 8.7160978e+00, 0.56917566, 0.61536866, 6237.477 , 6328.2827 , 6237.477 , 6328.2827 )\n", " ( 8, 8.0121727e+00, 7.7974753e+00, 8.2243586e+00, 0.61536866, 0.66076237, 6152.563 , 6237.477 , 6152.563 , 6237.477 )\n", " ( 9, 7.5951071e+00, 7.4109192e+00, 7.7974753e+00, 0.66076237, 0.70688754, 6070.171 , 6152.563 , 6070.171 , 6152.563 )\n", " (10, 7.2362761e+00, 7.1187997e+00, 7.4109192e+00, 0.70688754, 0.74541545, 6004.053 , 6070.171 , 6004.053 , 6070.171 )\n", " (11, 7.0054169e+00, 6.7378883e+00, 7.1187997e+00, 0.74541545, 0.8011656 , 5912.296 , 6004.053 , 5912.296 , 6004.053 )\n", " (12, 6.4915977e+00, 6.2412467e+00, 6.7378883e+00, 0.8011656 , 0.8850064 , 5781.999 , 5912.296 , 5781.999 , 5912.296 )\n", " (13, 6.0107574e+00, 5.9274750e+00, 6.2412467e+00, 0.8850064 , 0.94579893, 5692.5874 , 5781.999 , 5692.5874 , 5781.999 )\n", " (14, 5.8466139e+00, 5.6835189e+00, 5.9274750e+00, 0.94579893, 0.9980251 , 5618.7886 , 5692.5874 , 5618.7886 , 5692.5874 )\n", " (15, 5.5297656e+00, 5.3742218e+00, 5.6835189e+00, 0.9980251 , 1.0714717 , 5519.2417 , 5618.7886 , 5519.2417 , 5618.7886 )\n", " (16, 5.2275810e+00, 5.1090288e+00, 5.3742218e+00, 1.0714717 , 1.1418936 , 5427.986 , 5519.2417 , 5427.986 , 5519.2417 )\n", " (17, 4.9959335e+00, 4.8243771e+00, 5.1090288e+00, 1.1418936 , 1.2264551 , 5323.2437 , 5427.986 , 5323.2437 , 5427.986 )\n", " (18, 4.6645179e+00, 4.5431485e+00, 4.8243771e+00, 1.2264551 , 1.3207208 , 5212.022 , 5323.2437 , 5212.022 , 5323.2437 )\n", " (19, 4.4280338e+00, 4.2987480e+00, 4.5431485e+00, 1.3207208 , 1.4128404 , 5108.349 , 5212.022 , 5108.349 , 5212.022 )\n", " (20, 4.1768351e+00, 4.0906568e+00, 4.2987480e+00, 1.4128404 , 1.5000024 , 5014.342 , 5108.349 , 5014.342 , 5108.349 )\n", " (21, 4.0079451e+00, 3.8526685e+00, 4.0906568e+00, 1.5000024 , 1.6111543 , 4899.6235 , 5014.342 , 4899.6235 , 5014.342 )\n", " (22, 3.7087743e+00, 3.5966349e+00, 3.8526685e+00, 1.6111543 , 1.7468175 , 4766.5815 , 4899.6235 , 4766.5815 , 4899.6235 )\n", " (23, 3.4908614e+00, 3.3839178e+00, 3.5966349e+00, 1.7468175 , 1.8745713 , 4647.4937 , 4766.5815 , 4647.4937 , 4766.5815 )\n", " (24, 3.2830331e+00, 3.1399896e+00, 3.3839178e+00, 1.8745713 , 2.041211 , 4500.088 , 4647.4937 , 4500.088 , 4647.4937 )\n", " (25, 3.0081310e+00, 2.9509807e+00, 3.1399896e+00, 2.041211 , 2.1879046 , 4376.889 , 4500.088 , 4376.889 , 4500.088 )\n", " (26, 2.8957851e+00, 2.8123467e+00, 2.9509807e+00, 2.1879046 , 2.3069239 , 4280.962 , 4376.889 , 4280.962 , 4376.889 )\n", " (27, 2.7331426e+00, 2.6531942e+00, 2.8123467e+00, 2.3069239 , 2.4572814 , 4164.438 , 4280.962 , 4164.438 , 4280.962 )\n", " (28, 2.5772903e+00, 2.5092282e+00, 2.6531942e+00, 2.4572814 , 2.6077237 , 4052.5771 , 4164.438 , 4052.5771 , 4164.438 )\n", " (29, 2.4442258e+00, 2.3787005e+00, 2.5092282e+00, 2.6077237 , 2.7576826 , 3945.3455 , 4052.5771 , 3945.3455 , 4052.5771 )\n", " (30, 2.3161108e+00, 2.2609375e+00, 2.3787005e+00, 2.7576826 , 2.905529 , 3843.4312 , 3945.3455 , 3843.4312 , 3945.3455 )\n", " (31, 2.2079256e+00, 2.1545560e+00, 2.2609375e+00, 2.905529 , 3.050601 , 3746.8022 , 3843.4312 , 3746.8022 , 3843.4312 )\n", " (32, 2.1032696e+00, 2.0516453e+00, 2.1545560e+00, 3.050601 , 3.202571 , 3648.8809 , 3746.8022 , 3648.8809 , 3746.8022 )\n", " (33, 2.0020282e+00, 1.9520924e+00, 2.0516453e+00, 3.202571 , 3.361715 , 3549.682 , 3648.8809 , 3549.682 , 3648.8809 )\n", " (34, 1.9040896e+00, 1.8627039e+00, 1.9520924e+00, 3.361715 , 3.5159051 , 3456.5928 , 3549.682 , 3456.5928 , 3549.682 )\n", " (35, 1.8226893e+00, 1.7824667e+00, 1.8627039e+00, 3.5159051 , 3.6643636 , 3369.5762 , 3456.5928 , 3369.5762 , 3456.5928 )\n", " (36, 1.7435706e+00, 1.7044784e+00, 1.7824667e+00, 3.6643636 , 3.8186705 , 3281.6665 , 3369.5762 , 3281.6665 , 3369.5762 )\n", " (37, 1.6666696e+00, 1.6350199e+00, 1.7044784e+00, 3.8186705 , 3.9651728 , 3200.444 , 3281.6665 , 3200.444 , 3281.6665 )\n", " (38, 1.6042346e+00, 1.5671337e+00, 1.6350199e+00, 3.9651728 , 4.1173496 , 3118.2454 , 3200.444 , 3118.2454 , 3200.444 )\n", " (39, 1.5312390e+00, 1.5132287e+00, 1.5671337e+00, 4.1173496 , 4.2450213 , 3050.895 , 3118.2454 , 3050.895 , 3118.2454 )\n", " (40, 1.4955121e+00, 1.4540279e+00, 1.5132287e+00, 4.2450213 , 4.3927426 , 2974.7043 , 3050.895 , 2974.7043 , 3050.895 )\n", " (41, 1.4140983e+00, 1.3854544e+00, 1.4540279e+00, 4.3927426 , 4.574445 , 2883.402 , 2974.7043 , 2883.402 , 2974.7043 )\n", " (42, 1.3575766e+00, 1.3296057e+00, 1.3854544e+00, 4.574445 , 4.7315087 , 2806.5056 , 2883.402 , 2806.5056 , 2883.402 )\n", " (43, 1.3023784e+00, 1.2750646e+00, 1.3296057e+00, 4.7315087 , 4.8933887 , 2729.1067 , 2806.5056 , 2729.1067 , 2806.5056 )\n", " (44, 1.2484726e+00, 1.2271405e+00, 1.2750646e+00, 4.8933887 , 5.04305 , 2659.1409 , 2729.1067 , 2659.1409 , 2729.1067 )\n", " (45, 1.2062581e+00, 1.1800886e+00, 1.2271405e+00, 5.04305 , 5.1972003 , 2588.5964 , 2659.1409 , 2588.5964 , 2659.1409 )\n", " (46, 1.1546028e+00, 1.1341639e+00, 1.1800886e+00, 5.1972003 , 5.3549986 , 2517.906 , 2588.5964 , 2517.906 , 2588.5964 )\n", " (47, 1.1141505e+00, 1.0940968e+00, 1.1341639e+00, 5.3549986 , 5.4989595 , 2454.6987 , 2517.906 , 2454.6987 , 2517.906 )\n", " (48, 1.0744579e+00, 1.0547818e+00, 1.0940968e+00, 5.4989595 , 5.6462502 , 2391.2437 , 2454.6987 , 2391.2437 , 2454.6987 )\n", " (49, 1.0355104e+00, 1.0162051e+00, 1.0547818e+00, 5.6462502 , 5.7969084 , 2327.5562 , 2391.2437 , 2327.5562 , 2391.2437 )\n", " (50, 9.9729425e-01, 9.7361338e-01, 1.0162051e+00, 5.7969084 , 5.9707108 , 2255.5513 , 2327.5562 , 2255.5513 , 2327.5562 )\n", " (51, 9.5053136e-01, 9.3666106e-01, 9.7361338e-01, 5.9707108 , 6.1282086 , 2191.6008 , 2255.5513 , 2191.6008 , 2255.5513 )\n", " (52, 9.2300081e-01, 9.0476638e-01, 9.3666106e-01, 6.1282086 , 6.2694335 , 2135.2666 , 2191.6008 , 2135.2666 , 2191.6008 )\n", " (53, 8.8689691e-01, 8.6900622e-01, 9.0476638e-01, 6.2694335 , 6.433894 , 2070.82 , 2135.2666 , 2070.82 , 2135.2666 )\n", " (54, 8.5147089e-01, 8.3391738e-01, 8.6900622e-01, 6.433894 , 6.601875 , 2006.23 , 2070.82 , 2006.23 , 2070.82 )\n", " (55, 8.1671000e-01, 8.0379409e-01, 8.3391738e-01, 6.601875 , 6.7515683 , 1949.6843 , 2006.23 , 1949.6843 , 2006.23 )\n", " (56, 7.9106826e-01, 7.7408981e-01, 8.0379409e-01, 6.7515683 , 6.9043756 , 1892.9116 , 1949.6843 , 1892.9116 , 1949.6843 )\n", " (57, 7.5744140e-01, 7.4494815e-01, 7.7408981e-01, 6.9043756 , 7.0595274 , 1836.2161 , 1892.9116 , 1836.2161 , 1892.9116 )\n", " (58, 7.3263615e-01, 7.1621406e-01, 7.4494815e-01, 7.0595274 , 7.2178154 , 1779.3257 , 1836.2161 , 1779.3257 , 1836.2161 )\n", " (59, 7.0010638e-01, 6.8802208e-01, 7.1621406e-01, 7.2178154 , 7.378461 , 1722.5376 , 1779.3257 , 1722.5376 , 1779.3257 )\n", " (60, 6.7611039e-01, 6.6022646e-01, 6.8802208e-01, 7.378461 , 7.5422544 , 1665.5889 , 1722.5376 , 1665.5889 , 1722.5376 )\n", " (61, 6.4464182e-01, 6.3295317e-01, 6.6022646e-01, 7.5422544 , 7.708411 , 1608.7687 , 1665.5889 , 1608.7687 , 1665.5889 )\n", " (62, 6.2142873e-01, 6.0990566e-01, 6.3295317e-01, 7.708411 , 7.8531947 , 1560.0133 , 1608.7687 , 1560.0133 , 1608.7687 )\n", " (63, 5.9854329e-01, 5.8718342e-01, 6.0990566e-01, 7.8531947 , 8.000003 , 1511.2742 , 1560.0133 , 1511.2742 , 1560.0133 )\n", " (64, 5.7598084e-01, 5.6105018e-01, 5.8718342e-01, 8.000003 , 8.174028 , 1454.3821 , 1511.2742 , 1454.3821 , 1511.2742 )\n", " (65, 5.4639220e-01, 5.3540426e-01, 5.6105018e-01, 8.174028 , 8.350409 , 1397.6691 , 1454.3821 , 1397.6691 , 1454.3821 )\n", " (66, 5.2456582e-01, 5.1373357e-01, 5.3540426e-01, 8.350409 , 8.503937 , 1349.0573 , 1397.6691 , 1349.0573 , 1397.6691 )\n", " (67, 5.0304753e-01, 4.9236873e-01, 5.1373357e-01, 8.503937 , 8.65947 , 1300.5061 , 1349.0573 , 1300.5061 , 1349.0573 )\n", " (68, 4.8183295e-01, 4.7130546e-01, 4.9236873e-01, 8.65947 , 8.816997 , 1252.026 , 1300.5061 , 1252.026 , 1300.5061 )\n", " (69, 4.6091780e-01, 4.5053947e-01, 4.7130546e-01, 8.816997 , 8.976511 , 1203.6277 , 1252.026 , 1203.6277 , 1252.026 )\n", " (70, 4.4029784e-01, 4.3006656e-01, 4.5053947e-01, 8.976511 , 9.138 , 1155.3215 , 1203.6277 , 1155.3215 , 1203.6277 )\n", " (71, 4.1996893e-01, 4.0988263e-01, 4.3006656e-01, 9.138 , 9.301452 , 1107.1182 , 1155.3215 , 1107.1182 , 1155.3215 )\n", " (72, 3.9992696e-01, 3.8998356e-01, 4.0988263e-01, 9.301452 , 9.466854 , 1059.0281 , 1107.1182 , 1059.0281 , 1107.1182 )\n", " (73, 3.8016787e-01, 3.7036535e-01, 3.8998356e-01, 9.466854 , 9.634192 , 1011.0619 , 1059.0281 , 1011.0619 , 1059.0281 )\n", " (74, 3.6068764e-01, 3.5424355e-01, 3.7036535e-01, 9.634192 , 9.774977 , 971.22943 , 1011.0619 , 971.22943 , 1011.0619 )\n", " (75, 3.4785384e-01, 3.3828175e-01, 3.5424355e-01, 9.774977 , 9.917349 , 931.4219 , 971.22943 , 931.4219 , 971.22943 )\n", " (76, 3.2882974e-01, 3.1939328e-01, 3.3828175e-01, 9.917349 , 10.08977 , 883.837 , 931.4219 , 883.837 , 931.4219 )\n", " (77, 3.1007412e-01, 3.0387032e-01, 3.1939328e-01, 10.08977 , 10.234756 , 844.3411 , 883.837 , 844.3411 , 883.837 )\n", " (78, 2.9771769e-01, 2.8543562e-01, 3.0387032e-01, 10.234756 , 10.410904 , 796.97845 , 844.3411 , 796.97845 , 844.3411 )\n", " (79, 2.7335334e-01, 2.6732391e-01, 2.8543562e-01, 10.410904 , 10.588276 , 749.9597 , 796.97845 , 749.9597 , 796.97845 )\n", " (80, 2.6134327e-01, 2.5238788e-01, 2.6732391e-01, 10.588276 , 10.737853 , 710.822 , 749.9597 , 710.822 , 749.9597 )\n", " (81, 2.4354018e-01, 2.3471172e-01, 2.5238788e-01, 10.737853 , 10.9188385 , 664.0792 , 710.822 , 664.0792 , 710.822 )\n", " (82, 2.2598839e-01, 2.2018380e-01, 2.3471172e-01, 10.9188385 , 11.070893 , 625.3165 , 664.0792 , 625.3165 , 664.0792 )\n", " (83, 2.1442504e-01, 2.0580406e-01, 2.2018380e-01, 11.070893 , 11.224408 , 586.64233 , 625.3165 , 586.64233 , 625.3165 )\n", " (84, 1.9728418e-01, 1.8878537e-01, 2.0580406e-01, 11.224408 , 11.410067 , 540.4763 , 586.64233 , 540.4763 , 586.64233 )\n", " (85, 1.8038526e-01, 1.7479715e-01, 1.8878537e-01, 11.410067 , 11.565969 , 502.21097 , 540.4763 , 502.21097 , 540.4763 )\n", " (86, 1.6925204e-01, 1.6095297e-01, 1.7479715e-01, 11.565969 , 11.723276 , 464.05576 , 502.21097 , 464.05576 , 502.21097 )\n", " (87, 1.5274876e-01, 1.4729182e-01, 1.6095297e-01, 11.723276 , 11.881506 , 426.12854 , 464.05576 , 426.12854 , 464.05576 )\n", " (88, 1.4187621e-01, 1.3377218e-01, 1.4729182e-01, 11.881506 , 12.041101 , 388.32434 , 426.12854 , 388.32434 , 426.12854 )\n", " (89, 1.2575933e-01, 1.1777012e-01, 1.3377218e-01, 12.041101 , 12.233959 , 343.23273 , 388.32434 , 343.23273 , 388.32434 )\n", " (90, 1.0986994e-01, 1.0461648e-01, 1.1777012e-01, 12.233959 , 12.39578 , 305.8876 , 343.23273 , 305.8876 , 343.23273 )\n", " (91, 9.9401802e-02, 9.1600336e-02, 1.0461648e-01, 12.39578 , 12.558904 , 268.68506 , 305.8876 , 268.68506 , 305.8876 )\n", " (92, 8.3884433e-02, 7.8754269e-02, 9.1600336e-02, 12.558904 , 12.722881 , 231.72787 , 268.68506 , 231.72787 , 268.68506 )\n", " (93, 7.3661387e-02, 6.6043235e-02, 7.8754269e-02, 12.722881 , 12.888123 , 194.92479 , 231.72787 , 194.92479 , 231.72787 )\n", " (94, 5.8507323e-02, 5.3497560e-02, 6.6043235e-02, 12.888123 , 13.05419 , 158.37294 , 194.92479 , 158.37294 , 194.92479 )\n", " (95, 4.8523631e-02, 4.1084476e-02, 5.3497560e-02, 13.05419 , 13.221478 , 121.98607 , 158.37294 , 121.98607 , 158.37294 )\n", " (96, 3.3724371e-02, 2.8832177e-02, 4.1084476e-02, 13.221478 , 13.389566 , 85.855835, 121.98607 , 85.855835, 121.98607 )\n", " (97, 2.3974428e-02, 1.6710050e-02, 2.8832177e-02, 13.389566 , 13.558832 , 49.900814, 85.855835, 49.900814, 85.855835)\n", " (98, 9.5216669e-03, 4.7442745e-03, 1.6710050e-02, 13.558832 , 13.728869 , 14.207323, 49.900814, 14.207323, 49.900814)\n", " (99, 2.2204460e-16, 0.0000000e+00, 4.7442745e-03, 13.728869 , 13.797113 , 0. , 14.207323, 0. , 14.207323)]\n" ] } ], "source": [ "for key, value in tng100.metadata.items():\n", " print(f\"{key}: {value}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Additionally, we can review the fields in the halo catalogs:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The halo catalog fields for this simulation are: cm_x, cm_y, cm_z,\n", " mass, mass_maxr, pos_x, pos_y, pos_z, r_hm, r_vmax, spin_x,\n", " spin_y, spin_z, v_x, v_y, v_z, vdisp, vmax\n" ] } ], "source": [ "fields = [f for f in tng100.extract_snap_keys()]\n", "print(textwrap.fill(f\"The halo catalog fields for this simulation are: \" + ', '.join(fields),subsequent_indent=' '))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation Snapshots and ``SnapHanlder``\n", "Each simulation is composed of a series of snapshots which contain the halo catalog frozen at a given point in time (or equivalently at a given redshift). Because the simulations are large, by default the SimHandler doesn't load the data for the snapshots - this is done to reduce memory usage since many applications don't require using data from all snapshots. To interact with data from an individual snapshot, we need to retrieve it.\n", "\n", "First let's determine the snapshot associated with our redshift of interest. We'll search for the snapshot closest to z=1.0:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The snapshot closest to redshift 1.0 has index 50\n" ] } ], "source": [ "z = 1.0\n", "snap = tng100.z_to_snap(z)\n", "print(textwrap.fill(f\"The snapshot closest to redshift {z :.1f} has index {snap}\",subsequent_indent=' '))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can load this snapshot into memory. Each snapshot comes with its own SnapHandler object which is used to store both metadata and the halo catalog for that snapshot." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "tng100_z1 = tng100.get_snap(snap)\n", "\n", "### Equivalently we could have used\n", "# tng100_z1 = tng100.get_snap_from_z(z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SnapHandlers still don't automatically load all of the data for a snapshot, again trying to save RAM because we're working with large files. Instead they have a list of properties associated with the halo catalog, which they will load as needed.\n", "\n", "We can see the properties associated with a snapshot:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The halo catalog fields for this snapshot are: cm_x, cm_y, cm_z, mass,\n", " mass_maxr, pos_x, pos_y, pos_z, r_hm, r_vmax, spin_x, spin_y,\n", " spin_z, v_x, v_y, v_z, vdisp, vmax\n" ] } ], "source": [ "fields = [f for f in tng100_z1.extract_keys()]\n", "print(textwrap.fill(\"The halo catalog fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also specifically see what properties are loaded into memory, what properties are saved to the disk, and what additonal properties have been added since loading the snapshot, but aren't saved to the disk:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The loaded fields for this snapshot are:\n", "The saved fields for this snapshot are: cm_x, cm_y, cm_z, mass,\n", " mass_maxr, pos_x, pos_y, pos_z, r_hm, r_vmax, spin_x, spin_y,\n", " spin_z, v_x, v_y, v_z, vdisp, vmax\n", "The new fields for this snapshot are:\n" ] } ], "source": [ "fields = [f for f in tng100_z1.extract_keys(set='loaded')]\n", "print(textwrap.fill(\"The loaded fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='saved')]\n", "print(textwrap.fill(\"The saved fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='generated')]\n", "print(textwrap.fill(\"The new fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can load fields into memory explicity:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "tng100_z1.load_property('pos_x','pos_y','pos_z')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now printing the loaded fields will list pos_x, pos_y, and pos_z. These are still on the disk and therefore still appear in the saved fields list as well:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The loaded fields for this snapshot are: pos_x, pos_y, pos_z\n", "The saved fields for this snapshot are: cm_x, cm_y, cm_z, mass,\n", " mass_maxr, pos_x, pos_y, pos_z, r_hm, r_vmax, spin_x, spin_y,\n", " spin_z, v_x, v_y, v_z, vdisp, vmax\n", "The new fields for this snapshot are:\n" ] } ], "source": [ "fields = [f for f in tng100_z1.extract_keys(set='loaded')]\n", "print(textwrap.fill(\"The loaded fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='saved')]\n", "print(textwrap.fill(\"The saved fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='generated')]\n", "print(textwrap.fill(\"The new fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also make simple plots of these properties. For instance, we can plot the x and y positions\n", "of all halos:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tng100_z1.plot('pos_x','pos_y',\n", " axkws={'xlabel':'x-position [Mpc/h]','ylabel':'y-position [Mpc/h]','aspect':'equal'},\n", " plotkws={'marker':',','color':'k'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plots all halos x- and y-positions. Because the box is thick in the z-direction as well, it can result in a very dense looking plot. We can fix this by restricting the set of halos we use:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tng100_z1.set_property_range('pos_z',0,10) # Restrict catalog to only halos with pos_z<10 Mpc/h\n", "tng100_z1.plot('pos_x','pos_y',\n", " axkws={'xlabel':'x-position [Mpc/h]','ylabel':'y-position [Mpc/h]','aspect':'equal'},\n", " plotkws={'marker':',','color':'k'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To undo this restriction, simpy call ``set_property_range`` with no arguments. Note that by default ``set_property_range`` will overwrite the last set of restrictions set, so calling ``set_property_range('pos_x',0,10)`` followed by ``set_property_range('pos_y',0,10)`` would result in the halo catalog being restricted only along the y-direction and not the x direction:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tng100_z1.set_property_range('pos_x',0,10) # Restrict catalog to only halos with pos_x<10 Mpc/h\n", "tng100_z1.plot('pos_x','pos_y',\n", " axkws={'xlabel':'x-position [Mpc/h]','ylabel':'y-position [Mpc/h]','aspect':'equal','xlim':[0,75],'ylim':[0,75]},\n", " plotkws={'marker':',','color':'k'})\n", "\n", "tng100_z1.set_property_range('pos_y',0,10) # Restrict catalog to only halos with pos_y<10 Mpc/h\n", "tng100_z1.plot('pos_x','pos_y',\n", " axkws={'xlabel':'x-position [Mpc/h]','ylabel':'y-position [Mpc/h]','aspect':'equal','xlim':[0,75],'ylim':[0,75]},\n", " plotkws={'marker':',','color':'k'})\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To apply multiple cuts, set the ``reset`` parameter to ``False``:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tng100_z1.set_property_range('pos_x',0,10) # Restrict catalog to only halos with pos_x<10 Mpc/h\n", "tng100_z1.set_property_range('pos_y',0,10,reset=False) # Restrict catalog to only halos with pos_y<10 Mpc/h\n", "tng100_z1.plot('pos_x','pos_y',\n", " axkws={'xlabel':'x-position [Mpc/h]','ylabel':'y-position [Mpc/h]','aspect':'equal','xlim':[0,75],'ylim':[0,75]},\n", " plotkws={'marker':',','color':'k'})" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Undo these cuts.\n", "tng100_z1.set_property_range()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also make histograms. Here we'll plot the distribution of halo masses in our catalog. We can see that below a mass of about $10^{10}$ $M_\\odot$ the low mass resolution of the TNG100-3 simulation results in a sharp fall off of the number of halos." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tng100_z1.hist('mass',\n", " axkws={'xlabel':'Halo Mass [M$_\\odot$/h]','xscale':'log','yscale':'log'}, \n", " plotkws={'bins':np.logspace(9,15,61)})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that we never loaded the 'mass' property. The SnapHandler will load (and then unload) the property automatically when it is needed to execute a method call." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Direct Access to Halo/Galaxy Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``.plot`` and ``.hist`` methods are meant primarily for exploratory data visualization, and not detailed analysis. It's always possible to extract the underlying data and make more sophisticated plots. The following code is an equivalent way to make the halo mass histogram shown above:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.set(xlabel='Halo Mass [M$_\\odot$/h]',xscale='log',yscale='log')\n", "\n", "masses = tng100_z1.return_property('mass')\n", "ax.hist(masses, bins=np.logspace(9,15,61))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Any property associated with a ``SnapHanlder`` instance can be retrieved using the ``.return_property`` method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding Properties to Simulations\n", "\n", "Because TNG100-3-Dark is a dark matter only simulation, it doesn't include important properties needed for modeling galaxy observations, such as star formation rates. We will need to add these ourselves. (Note: we could also use a different simulation which includes a model for star formation, such as the full-hydrodynamics versions of TNG)\n", "\n", "**SimIM** handles adding new properties to snapshots (and other objects) using the ``galprops`` module. The key element of this module is the ``Prop`` class, which contains some function for generating a field in the halo catalog, given some existing halo catalog fields, along with basic instructions for how to execute the function.\n", "\n", "The ``galprops`` module has a number of pre-defined properties, and we will work with a few of those first before seeing how to construct new ones.\n", "\n", "Let's start by assigning star formation rates to each halo. To do this we will use the prescription of Behroozi et al. 2013, which is built into the ``galprops`` module:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# Load the Behroozi et al. halo mass to SFR prescription\n", "from simim.galprops import prop_behroozi_sfr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding this property to the halo catalog of our snapshot is very simple:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "tng100_z1.make_property(prop_behroozi_sfr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "'sfr' will now appear in the list of properties associated with the snapshot. \n", "Note that it has been added to the list of loaded fields and the list of newly generated\n", "fields for the snapshot, but not to the list of fields saved to the disk. If we \n", "want to, we can save our new property using the command ``SnapHandler.write_property('sfr')``.\n", "However, doing so would write the property for only a single snapshot, rather than\n", "the whole simulation, which is not generally desirable. We will revisit writing \n", "properties to whole simulations in a moment." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The loaded fields for this snapshot are: pos_x, pos_y, pos_z, sfr\n", "The saved fields for this snapshot are: cm_x, cm_y, cm_z, mass,\n", " mass_maxr, pos_x, pos_y, pos_z, r_hm, r_vmax, spin_x, spin_y,\n", " spin_z, v_x, v_y, v_z, vdisp, vmax\n", "The new fields for this snapshot are: sfr\n" ] } ], "source": [ "fields = [f for f in tng100_z1.extract_keys(set='loaded')]\n", "print(textwrap.fill(\"The loaded fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='saved')]\n", "print(textwrap.fill(\"The saved fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='generated')]\n", "print(textwrap.fill(\"The new fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also add line luminosities. We can often model the luminosity of a given spectral line to a halo using a prescription of the form $$\\log L_\\mathrm{line} = a\\log\\mathrm{SFR}+b+\\epsilon(\\sigma)$$ where $a$ and $b$ are an emperically determined coeficients of a power law fit and $\\epsilon$ is a random scatter drawn from an (assumed) normal distribution of width $\\sigma$.\n", "\n", "Fits for the correlation between SFR and the 158µm [CII] line have been presented multiple places in the literature. For example DeLooze et al. 2014, provides fits for multiple far infrared lines and multiple galaxy populations. This prescription is also built in to ``galprops``, and we can add it to our halos as follows:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "from simim.galprops import prop_delooze_cii\n", "tng100_z1.make_property(prop_delooze_cii,rename='LCII')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, prop_delooze_cii uses the fit for the whole galaxy sample presented in DeLooze et al. However, we can also use the fits from subsamples, for example the fit for only starburst galaxies. To do this, we need to specify a few parameters when calling the ``make_property`` method. The ``other_kws`` parameter is a dictionary of keyword arguments that are passed directly to the function call that generates the property - in this case, ``set='starbursts'`` will be passed to the function underlying ``prop_delooze_cii``. Because we already assigned the property 'LCII' (the default property name for ``prop_delooze_cii``), we will also specify a new property name using the ``rename`` parameter to avoid overwriting the previous result." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "tng100_z1.make_property(prop_delooze_cii,other_kws={'set':'starbursts'},rename='LCII_sb')" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The loaded fields for this snapshot are: pos_x, pos_y, pos_z, sfr,\n", " LCII, LCII_sb\n", "The saved fields for this snapshot are: cm_x, cm_y, cm_z, mass,\n", " mass_maxr, pos_x, pos_y, pos_z, r_hm, r_vmax, spin_x, spin_y,\n", " spin_z, v_x, v_y, v_z, vdisp, vmax\n", "The new fields for this snapshot are: sfr, LCII, LCII_sb\n" ] } ], "source": [ "fields = [f for f in tng100_z1.extract_keys(set='loaded')]\n", "print(textwrap.fill(\"The loaded fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='saved')]\n", "print(textwrap.fill(\"The saved fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))\n", "\n", "fields = [f for f in tng100_z1.extract_keys(set='generated')]\n", "print(textwrap.fill(\"The new fields for this snapshot are: \"+', '.join([f for f in fields]),subsequent_indent=' '))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compare the luminosities generated by the two prescriptions:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tng100_z1.plot('LCII','LCII_sb',\n", " axkws={'xlabel':'L$_\\mathregular{CII}$ [L$_\\odot$] - Prescription 1',\n", " 'ylabel':'L$_\\mathregular{CII}$ [L$_\\odot$] - Prescription 2',\n", " 'xscale':'log','yscale':'log'},\n", " plotkws={'marker':',','color':'k'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that there is quite a bit of scatter between the two prescriptions. Both prescriptions add a random scatter to the luminosity of every halo, but as it stands we have not done anything to make sure that the same halos are scattered in the same way (i.e. fixed the seed for our random number generator). Let's fix this." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/keenan/Dropbox/4_research/2.1_simim_release/simim/_handlers.py:269: UserWarning: Property LCII already exists, overwriting\n", " warnings.warn(\"Property {} already exists, overwriting\".format(name))\n", "/Users/keenan/Dropbox/4_research/2.1_simim_release/simim/_handlers.py:269: UserWarning: Property LCII_sb already exists, overwriting\n", " warnings.warn(\"Property {} already exists, overwriting\".format(name))\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.default_rng(85712)\n", "tng100_z1.make_property(prop_delooze_cii,rename='LCII',other_kws={'rng':rng},overwrite=True)\n", "rng = np.random.default_rng(85712) # Reseed the RNG to get the same numbers for the second application\n", "tng100_z1.make_property(prop_delooze_cii,other_kws={'rng':rng,'set':'starbursts'},rename='LCII_sb',overwrite=True)\n", "\n", "tng100_z1.plot('LCII','LCII_sb',\n", " axkws={'xlabel':'L$_\\mathregular{CII}$ [L$_\\odot$] - Prescription 1',\n", " 'ylabel':'L$_\\mathregular{CII}$ [L$_\\odot$] - Prescription 2',\n", " 'xscale':'log','yscale':'log'},\n", " plotkws={'marker':',','color':'k'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This clearly reduces the scatter between the two prescriptions. Some dispersion remains, because the amplitude of the random scatter added by the two prescriptions differs, but this should be a better starting point for making an apples-to-apples comparisons between results found using the different models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's implement our own ``Prop`` instance for a different [CII] prescription. (Note: the prescription described here is already built into **SimIM** as ``simim.galprops.prop_schaerer_cii``, we recreate it here for illustrative purposes)\n", "\n", "We'll use SFR-[CII] the scaling relation fit by Schaerer et al. 2020 using the z~4-6 galaxies from the ALPINE survey. We begin by defining a function to assign a CII luminosity from a given SFR using the Schaerer fit plus a lognormal scatter of 0.3 dex:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "def lcii_schaerer(sfr,scatter_dex=0.3,rng=np.random.default_rng()):\n", "\n", " # Determine mean luminosity from Schaerer fit:\n", " a = 1.17\n", " b = 6.61\n", " lcii = 10**(a*np.log10(np.array(sfr))+b)\n", "\n", " # Add a lognormal scatter\n", " lcii = lcii / 10**(scatter_dex**2 * np.log(10)/2) # Adjustment required to preserve linear mean\n", " lcii = lcii * 10**(scatter_dex*rng.normal(loc=0,scale=1,size=lcii.shape))\n", "\n", " return lcii" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can wrap this function in a ``Prop`` class that supplies some additional information needed by the SnapHandler to evaluate it. In particular, we will give a default property name, a list of snapshot properties to be passed in the function call (in this case just 'sfr'), the units of the resulting property ($L_\\odot$), the dependence of the property on the Hubble parameter, and whether the arguments fed to the function call (SFRs) are expected to have units with little h (they are not) and the values returned by the function call have units with little h (again they do not). All of this little h accounting is because most simulations work with at least some properties in little h units, and keeping these can be useful for translating between different cosmologies. But in most cases similar to correlating SFRs and line luminosities we do not need the little h units, by default the ``prop`` class will assume no h dependence and that all arguments and returns are in units where the h dependence has already been evaluated." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "from simim.galprops.galprops import Prop\n", "\n", "prop_schaerer_cii = Prop(prop_name='LCII',\n", " prop_function=lcii_schaerer,\n", " kwargs=['sfr'],\n", " units='Lsun',\n", " h_dependence=-2,\n", " give_args_in_h_units=False,\n", " function_return_in_h_units=False)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From here we can use the new ``Prop`` instance in exactly the same manner as we did previously:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.default_rng(85712) # Reseed the RNG again\n", "tng100_z1.make_property(prop_schaerer_cii,other_kws={'rng':rng},rename='LCII_z5')\n", "\n", "tng100_z1.plot('LCII','LCII_z5',\n", " axkws={'xlabel':'L$_\\mathregular{CII}$ [L$_\\odot$] - Prescription 1',\n", " 'ylabel':'L$_\\mathregular{CII}$ [L$_\\odot$] - Prescription 3',\n", " 'xscale':'log','yscale':'log'},\n", " plotkws={'marker':',','color':'k'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interacting with a Simulation Across All Snapshots\n", "\n", "Now that we've seen the basics of how adding properties to snapshots works, we can go about adding properties to the entire simulation. This is valuable for assessing the evolution of properties with time, and is also necessary if we want to add new properties to the simulations that can be inherited by light cones (survey volumes) we generate.\n", "\n", "The SimHandler has methods for handling this - essentially just wrappers that iterate over each snapshot. We will add SFRs, and our three $L_\\mathrm{CII}$ prescriptions to the whole simulation. In the following, we will use our SimHandler instance instead of the SnapHandler instance for only z=1. Otherwise the method calls are quite similar to those used earlier, but the additional argument ``write=True`` will save the new properties we generate to the disk, making them useable again in the future." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1mAssigning props for Snapshot 99. \u001b[0m\r" ] } ], "source": [ "rng1 = np.random.default_rng(58290)\n", "tng100.make_property(prop_behroozi_sfr,other_kws={'rng':rng1},write=True,overwrite=True)\n", "\n", "rng2 = np.random.default_rng(85712)\n", "tng100.make_property(prop_delooze_cii,other_kws={'rng':rng2},rename='LCII',write=True,overwrite=True)\n", "rng2 = np.random.default_rng(85712)\n", "tng100.make_property(prop_delooze_cii,other_kws={'set':'starbursts','rng':rng2},rename='LCII_sb',write=True,overwrite=True)\n", "rng2 = np.random.default_rng(85712)\n", "tng100.make_property(prop_schaerer_cii,other_kws={'rng':rng2},rename='LCII_z5',write=True,overwrite=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we've constructed our properties, let's use assess their evolution over cosmic history. We'll start with the cosmic star formation rate density:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1mCollecting sources from Snapshot 99. \u001b[0m\n" ] } ], "source": [ "# Function to compute the SFRD\n", "def sfrdensity(sfr,box_edge,h):\n", " return np.sum(sfr)/(box_edge/h)**3\n", "\n", "# 'box_edge', and 'h' are two special keywords that Handler objects recognize\n", "# corresponding to the side length of the box and little h\n", "sfrdensity_val, redshift = tng100.snap_stat(stat_function=sfrdensity,\n", " kwargs=['sfr','box_edge','h'])" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We'll compare this result to the fit from Madau & Dickinson 2014\n", "redshift_madau = np.linspace(0,10,1000)\n", "sfrdensity_madau = 0.015 * (1+redshift_madau)**2.7 / (1+((1+redshift_madau)/2.9)**5.6)\n", "\n", "# Plot the stuff\n", "fig,ax = plt.subplots()\n", "ax.set(xlabel='Redshift',ylabel=r'SFRD [M$_\\odot$ yr$^{-1}$ Mpc$^{-3}$]',yscale='log',xlim=[0,5],ylim=[.01,.2])\n", "ax.plot(redshift,sfrdensity_val,color='C0',label='Simulated')\n", "ax.plot(redshift_madau,sfrdensity_madau,color='k',ls='-',lw=4,label='MD14')\n", "ax.legend(fontsize='small')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that our model's SFRD deviates considerably from the fit to data from Madau and Dickinson 2014. These deviations are primarily at z>3 where uncertainties in the SFRD were large when Madau and Dickinson 2014 and Behroozi et al. 2012 were published. More recent data and models are better converged." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also implement more sophisticated statistical calculations, such as luminosity functions:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1mCollecting sources from Snapshot 23. \u001b[0m\r" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1mCollecting sources from Snapshot 99. \u001b[0m\n" ] } ], "source": [ "# Function to compute the CII luminosity function\n", "bin_edges = np.logspace(4,11,46)\n", "bin_centers = np.sqrt(bin_edges[1:]*bin_edges[:-1])\n", "def cii_lf(LCII,box_edge,h):\n", " vol = (box_edge/h)**3\n", " lf_val, _ = np.histogram(LCII, bin_edges)\n", " lf_val = lf_val / vol / np.diff(np.log10(bin_edges))\n", " return lf_val\n", "\n", "# 'box_edge', and 'h' are two special keywords that Handler objects recognize\n", "# corresponding to the side length of the box and little h\n", "lf_vals, redshift = tng100.snap_stat(stat_function=cii_lf,kwargs=['LCII','box_edge','h'])" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the redshift evolution of the CII luminosity function for our model\n", "\n", "from matplotlib import colormaps\n", "\n", "fig,ax = plt.subplots()\n", "ax.set(\n", " xlabel='L$_\\mathregular{CII}$ [L$_\\odot$]',\n", " ylabel='$\\Phi_\\mathregular{CII}$ [Mpc$^{-3}$ dex$^{-1}$]',\n", " xscale='log',\n", " yscale='log',\n", " xlim=(1e6,1e11)\n", ")\n", "\n", "cmap = colormaps['Spectral']\n", "for i,lf_val in enumerate(lf_vals):\n", " ax.plot(bin_centers,lf_val,color=cmap(i/len(lf_vals)))\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "simim", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 2 }