{ "cells": [ { "cell_type": "markdown", "id": "bfc1d14f-c14f-4ba6-bea8-c1487dfed993", "metadata": {}, "source": [ "# Quick start on mock simulations using `meer21cm`\n", "\n", "In this notebook, we give a brief overview of using `meer21cm` to generate mock simulations of HI temperature field and galaxy sample, and show how to use the field and galaxy sample for power spectrum estimation.\n", "\n", "`meer21cm` has two key features:\n", "1. The package is easy to interact. A lot of the functionalities are wrapped under the hood.\n", "2. A smart cache system is used, so that computationally heavy functions are only run once. However, if the relevant parameters are updated, the cache is automatically cleared so that it can be updated." ] }, { "cell_type": "code", "execution_count": 1, "id": "d6f19c61-8f01-40ba-96c9-fc80d7328ac3", "metadata": {}, "outputs": [], "source": [ "from meer21cm import MockSimulation\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from meer21cm.plot import plot_map\n", "import time\n", "from meer21cm.power import get_shot_noise_galaxy\n", "from meer21cm.grid import shot_noise_correction_from_gridding" ] }, { "cell_type": "markdown", "id": "ba72cefc-668b-4d10-8eac-11baf0267db1", "metadata": {}, "source": [ "## Generation of mock signal maps:" ] }, { "cell_type": "markdown", "id": "76fa8a94-f855-465d-b457-e7395737fba5", "metadata": {}, "source": [ "In order to generate a mock signal and use it for power spectrum estimation, three steps must be performed:\n", "\n", "1. Based on the survey area and redshift range of choice, generate a regular grid box with **relatively fine** resolution. Use the parameters to generate either a density field or a discrete source catalogue in the box.\n", "2. Project the generated tracer onto the sky in (RA,Dec,z). For density field, it is averaged onto the map-level pixels. Noise, foregrounds, beam and other effects can be then added.\n", "3. Use the map or the source catalogue, and grid the data into a regular grid box with **relatively coarse** reolustion. Perform power spectrum estimation.\n", "\n", "Note that, each of the step has many nuances and examples to discuss these steps in details are being prepared. For now, let us just go through the whole thing without exhausting all the details." ] }, { "cell_type": "markdown", "id": "c9031fb6-f2a8-494b-8380-c4dc30e0160c", "metadata": {}, "source": [ "We can construct a mock simulation by simply:" ] }, { "cell_type": "code", "execution_count": 32, "id": "019de44c-d56e-43c4-952c-d02bd1a85fa3", "metadata": {}, "outputs": [], "source": [ "# fixing seed for reproducable results\n", "mock = MockSimulation(\n", " seed=12345,\n", " # use pre-defined survey dimensions\n", " survey=\"meerklass_2021\",\n", " band=\"L\",\n", ")" ] }, { "cell_type": "markdown", "id": "f24feb28-de1f-4330-921c-2e923648f801", "metadata": {}, "source": [ "The mock object contains all sorts of configurations and settings for the simulations, and the default corresponds to the MeerKLASS L-band deep-field. For example, the frequency range and resolution are:" ] }, { "cell_type": "code", "execution_count": 33, "id": "96794848-d4c3-4ac7-9bd3-e4276b363b07", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(971150390.625), np.float64(1023605468.75), np.float64(208984.375))" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# in Hz\n", "mock.nu.min(),mock.nu.max(),np.diff(mock.nu).mean()" ] }, { "cell_type": "markdown", "id": "6ca1c3df-ef74-4032-97ab-7899b8ce60c2", "metadata": {}, "source": [ "You can always update attributes of `mock` on the fly. For example, now I want to limit my survey area:" ] }, { "cell_type": "code", "execution_count": 34, "id": "53118692-810f-4258-ada3-a934565d4438", "metadata": {}, "outputs": [], "source": [ "raminMK,ramaxMK = 334,357\n", "decminMK,decmaxMK = -35,-26.5\n", "ra_range = (raminMK,ramaxMK)\n", "dec_range = (decminMK,decmaxMK)" ] }, { "cell_type": "code", "execution_count": 35, "id": "832293ac-5ed4-4f9a-bd37-636a63196ee1", "metadata": {}, "outputs": [], "source": [ "mock.ra_range = ra_range\n", "mock.dec_range = dec_range\n", "mock.trim_map_to_range()" ] }, { "cell_type": "code", "execution_count": 36, "id": "195adb9e-5528-4bb8-a1b3-6b6182140d6f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)" ] }, { "cell_type": "markdown", "id": "f191b764-6bd0-416a-b7ea-86eef06e60bb", "metadata": {}, "source": [ "Here, `W_HI` is the binary window where 1 suggests that the pixels are sampled. `wproj` is an `astropy` WCS object for storing the survey area." ] }, { "cell_type": "markdown", "id": "f8b76073-9d00-4681-b7d5-2f9935348558", "metadata": {}, "source": [ "Now we can simply generate a mock signal map of HI overdensity:" ] }, { "cell_type": "code", "execution_count": 37, "id": "a1962387-e403-40d2-9a87-05e45089f5c2", "metadata": {}, "outputs": [], "source": [ "# this is to tell mock to use **relatively fine** grid\n", "mock.downres_factor_radial = 1/2.0\n", "mock.downres_factor_transverse = 1/2.0\n", "mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)" ] }, { "cell_type": "code", "execution_count": 38, "id": "56ecccf0-04ee-43e1-b2ac-26e466167ca5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)" ] }, { "cell_type": "markdown", "id": "03717498-e9fc-4bba-859c-817bed5bb7a4", "metadata": {}, "source": [ "Note that, here I have already asked `mock` to do three different things under the hood:\n", "\n", "- Calculate box dimensions for the density simulation\n", "- Simulate a lognormal realization of the tracer density\n", "- Project the tracer density field onto the map\n", "\n", "While this is all done behine the scenes, you can also asked for it to be done separately:" ] }, { "cell_type": "code", "execution_count": 39, "id": "b68d37fa-e6ff-4a34-a50f-6d7751d0a80e", "metadata": {}, "outputs": [ { "ename": "KeyboardInterrupt", "evalue": "", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[39], line 6\u001b[0m\n\u001b[1;32m 4\u001b[0m mock\u001b[38;5;241m.\u001b[39mget_mock_tracer_field(\u001b[38;5;241m1\u001b[39m)\n\u001b[1;32m 5\u001b[0m \u001b[38;5;66;03m# then grid\u001b[39;00m\n\u001b[0;32m----> 6\u001b[0m mock\u001b[38;5;241m.\u001b[39mdata \u001b[38;5;241m=\u001b[39m \u001b[43mmock\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgrid_field_to_sky_map\u001b[49m\u001b[43m(\u001b[49m\u001b[43mmock\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mmock_tracer_field_1\u001b[49m\u001b[43m)\u001b[49m[\u001b[38;5;241m0\u001b[39m]\n", "File \u001b[0;32m~/Desktop/work/meer21cm/src/meer21cm/power.py:3274\u001b[0m, in \u001b[0;36mPowerSpectrum.grid_field_to_sky_map\u001b[0;34m(self, field, average, mask, wproj, num_pix_x, num_pix_y)\u001b[0m\n\u001b[1;32m 3272\u001b[0m pos_xyz \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray(np\u001b[38;5;241m.\u001b[39mmeshgrid(\u001b[38;5;241m*\u001b[39m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mx_vec, indexing\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mij\u001b[39m\u001b[38;5;124m\"\u001b[39m))\u001b[38;5;241m.\u001b[39mreshape((\u001b[38;5;241m3\u001b[39m, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m))\u001b[38;5;241m.\u001b[39mT\n\u001b[1;32m 3273\u001b[0m pos_ra, pos_dec, pos_z, _ \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mra_dec_z_for_coord_in_box(pos_xyz)\n\u001b[0;32m-> 3274\u001b[0m pos_indx_1, pos_indx_2 \u001b[38;5;241m=\u001b[39m \u001b[43mradec_to_indx\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpos_ra\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mpos_dec\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mwproj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mto_int\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[1;32m 3275\u001b[0m pos_indx_z \u001b[38;5;241m=\u001b[39m redshift_to_freq(pos_z) \u001b[38;5;241m-\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnu\u001b[38;5;241m.\u001b[39mmin()\n\u001b[1;32m 3276\u001b[0m pos_indx_array \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray([pos_indx_1, pos_indx_2, pos_indx_z])\u001b[38;5;241m.\u001b[39mT\n", "File \u001b[0;32m~/Desktop/work/meer21cm/src/meer21cm/util.py:808\u001b[0m, in \u001b[0;36mradec_to_indx\u001b[0;34m(ra_arr, dec_arr, wproj, to_int, ang_unit)\u001b[0m\n\u001b[1;32m 806\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21mradec_to_indx\u001b[39m(ra_arr, dec_arr, wproj, to_int\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m, ang_unit\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mdeg\u001b[39m\u001b[38;5;124m\"\u001b[39m):\n\u001b[1;32m 807\u001b[0m coor \u001b[38;5;241m=\u001b[39m SkyCoord(ra_arr, dec_arr, unit\u001b[38;5;241m=\u001b[39mang_unit)\n\u001b[0;32m--> 808\u001b[0m indx_1, indx_2 \u001b[38;5;241m=\u001b[39m \u001b[43mwproj\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mworld_to_pixel\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcoor\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 809\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m to_int:\n\u001b[1;32m 810\u001b[0m indx_1 \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mround(indx_1)\u001b[38;5;241m.\u001b[39mastype(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mint\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcsapi/high_level_api.py:321\u001b[0m, in \u001b[0;36mHighLevelWCSMixin.world_to_pixel\u001b[0;34m(self, *world_objects)\u001b[0m\n\u001b[1;32m 316\u001b[0m world_values \u001b[38;5;241m=\u001b[39m high_level_objects_to_values(\n\u001b[1;32m 317\u001b[0m \u001b[38;5;241m*\u001b[39mworld_objects, low_level_wcs\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlow_level_wcs\n\u001b[1;32m 318\u001b[0m )\n\u001b[1;32m 320\u001b[0m \u001b[38;5;66;03m# Finally we convert to pixel coordinates\u001b[39;00m\n\u001b[0;32m--> 321\u001b[0m pixel_values \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlow_level_wcs\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mworld_to_pixel_values\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mworld_values\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 323\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m pixel_values\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcsapi/fitswcs.py:344\u001b[0m, in \u001b[0;36mFITSWCSAPIMixin.world_to_pixel_values\u001b[0;34m(self, *world_arrays)\u001b[0m\n\u001b[1;32m 341\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21;01mastropy\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mwcs\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mwcs\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mimport\u001b[39;00m NoConvergence\n\u001b[1;32m 343\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m--> 344\u001b[0m pixel \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mall_world2pix\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mworld_arrays\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 345\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m NoConvergence \u001b[38;5;28;01mas\u001b[39;00m e:\n\u001b[1;32m 346\u001b[0m warnings\u001b[38;5;241m.\u001b[39mwarn(\u001b[38;5;28mstr\u001b[39m(e))\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:2110\u001b[0m, in \u001b[0;36mWCS.all_world2pix\u001b[0;34m(self, tolerance, maxiter, adaptive, detect_divergence, quiet, *args, **kwargs)\u001b[0m\n\u001b[1;32m 2107\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mwcs \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 2108\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mNo basic WCS settings were created.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m-> 2110\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_array_converter\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2111\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;28;43;01mlambda\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_all_world2pix\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2112\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2113\u001b[0m \u001b[43m \u001b[49m\u001b[43mtolerance\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtolerance\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2114\u001b[0m \u001b[43m \u001b[49m\u001b[43mmaxiter\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmaxiter\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2115\u001b[0m \u001b[43m \u001b[49m\u001b[43madaptive\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43madaptive\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2116\u001b[0m \u001b[43m \u001b[49m\u001b[43mdetect_divergence\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdetect_divergence\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2117\u001b[0m \u001b[43m \u001b[49m\u001b[43mquiet\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mquiet\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2118\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2119\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43minput\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2120\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2121\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2122\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:1546\u001b[0m, in \u001b[0;36mWCS._array_converter\u001b[0;34m(self, func, sky, ra_dec_order, *args)\u001b[0m\n\u001b[1;32m 1540\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m \u001b[38;5;167;01mException\u001b[39;00m:\n\u001b[1;32m 1541\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(\n\u001b[1;32m 1542\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mWhen providing more than two arguments, they must be \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 1543\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124ma 1-D array for each axis, followed by an origin.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 1544\u001b[0m )\n\u001b[0;32m-> 1546\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m_return_list_of_arrays\u001b[49m\u001b[43m(\u001b[49m\u001b[43maxes\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morigin\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1548\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(\n\u001b[1;32m 1549\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mWCS projection has \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnaxis\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m dimensions, so expected 2 (an Nx\u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnaxis\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m array \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 1550\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mand the origin argument) or \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnaxis\u001b[38;5;250m \u001b[39m\u001b[38;5;241m+\u001b[39m\u001b[38;5;250m \u001b[39m\u001b[38;5;241m1\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m arguments (the position in each \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 1551\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mdimension, and the origin argument). Instead, \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mlen\u001b[39m(args)\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m arguments were \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 1552\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mgiven.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 1553\u001b[0m )\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:1496\u001b[0m, in \u001b[0;36mWCS._array_converter.._return_list_of_arrays\u001b[0;34m(axes, origin)\u001b[0m\n\u001b[1;32m 1494\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m ra_dec_order \u001b[38;5;129;01mand\u001b[39;00m sky \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minput\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[1;32m 1495\u001b[0m xy \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_denormalize_sky(xy)\n\u001b[0;32m-> 1496\u001b[0m output \u001b[38;5;241m=\u001b[39m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mxy\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morigin\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1497\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m ra_dec_order \u001b[38;5;129;01mand\u001b[39;00m sky \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124moutput\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[1;32m 1498\u001b[0m output \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_normalize_sky(output)\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:2111\u001b[0m, in \u001b[0;36mWCS.all_world2pix..\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 2107\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mwcs \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 2108\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mNo basic WCS settings were created.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 2110\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_array_converter(\n\u001b[0;32m-> 2111\u001b[0m \u001b[38;5;28;01mlambda\u001b[39;00m \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs: \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_all_world2pix\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2112\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2113\u001b[0m \u001b[43m \u001b[49m\u001b[43mtolerance\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mtolerance\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2114\u001b[0m \u001b[43m \u001b[49m\u001b[43mmaxiter\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mmaxiter\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2115\u001b[0m \u001b[43m \u001b[49m\u001b[43madaptive\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43madaptive\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2116\u001b[0m \u001b[43m \u001b[49m\u001b[43mdetect_divergence\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdetect_divergence\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2117\u001b[0m \u001b[43m \u001b[49m\u001b[43mquiet\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mquiet\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2118\u001b[0m \u001b[43m \u001b[49m\u001b[43m)\u001b[49m,\n\u001b[1;32m 2119\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minput\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m 2120\u001b[0m \u001b[38;5;241m*\u001b[39margs,\n\u001b[1;32m 2121\u001b[0m \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs,\n\u001b[1;32m 2122\u001b[0m )\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:1902\u001b[0m, in \u001b[0;36mWCS._all_world2pix\u001b[0;34m(self, world, origin, tolerance, maxiter, adaptive, detect_divergence, quiet)\u001b[0m\n\u001b[1;32m 1692\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;21m_all_world2pix\u001b[39m(\n\u001b[1;32m 1693\u001b[0m \u001b[38;5;28mself\u001b[39m, world, origin, tolerance, maxiter, adaptive, detect_divergence, quiet\n\u001b[1;32m 1694\u001b[0m ):\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 1900\u001b[0m \n\u001b[1;32m 1901\u001b[0m \u001b[38;5;66;03m# initial approximation (linear WCS based only)\u001b[39;00m\n\u001b[0;32m-> 1902\u001b[0m pix0 \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mwcs_world2pix\u001b[49m\u001b[43m(\u001b[49m\u001b[43mworld\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morigin\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1904\u001b[0m \u001b[38;5;66;03m# Check that an iterative solution is required at all\u001b[39;00m\n\u001b[1;32m 1905\u001b[0m \u001b[38;5;66;03m# (when any of the non-CD-matrix-based corrections are\u001b[39;00m\n\u001b[1;32m 1906\u001b[0m \u001b[38;5;66;03m# present). If not required return the initial\u001b[39;00m\n\u001b[1;32m 1907\u001b[0m \u001b[38;5;66;03m# approximation (pix0).\u001b[39;00m\n\u001b[1;32m 1908\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mhas_distortion:\n\u001b[1;32m 1909\u001b[0m \u001b[38;5;66;03m# No non-WCS corrections detected so\u001b[39;00m\n\u001b[1;32m 1910\u001b[0m \u001b[38;5;66;03m# simply return initial approximation:\u001b[39;00m\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:2451\u001b[0m, in \u001b[0;36mWCS.wcs_world2pix\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 2449\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mwcs \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 2450\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mNo basic WCS settings were created.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m-> 2451\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_array_converter\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2452\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;28;43;01mlambda\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mxy\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mo\u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mwcs\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43ms2p\u001b[49m\u001b[43m(\u001b[49m\u001b[43mxy\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mo\u001b[49m\u001b[43m)\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mpixcrd\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43minput\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\n\u001b[1;32m 2453\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:1532\u001b[0m, in \u001b[0;36mWCS._array_converter\u001b[0;34m(self, func, sky, ra_dec_order, *args)\u001b[0m\n\u001b[1;32m 1530\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m xy\u001b[38;5;241m.\u001b[39mshape \u001b[38;5;241m==\u001b[39m () \u001b[38;5;129;01mor\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(xy\u001b[38;5;241m.\u001b[39mshape) \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[1;32m 1531\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _return_list_of_arrays([xy], origin)\n\u001b[0;32m-> 1532\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m_return_single_array\u001b[49m\u001b[43m(\u001b[49m\u001b[43mxy\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morigin\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1534\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28mlen\u001b[39m(args) \u001b[38;5;241m==\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mnaxis \u001b[38;5;241m+\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[1;32m 1535\u001b[0m axes \u001b[38;5;241m=\u001b[39m args[:\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:1515\u001b[0m, in \u001b[0;36mWCS._array_converter.._return_single_array\u001b[0;34m(xy, origin)\u001b[0m\n\u001b[1;32m 1513\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m ra_dec_order \u001b[38;5;129;01mand\u001b[39;00m sky \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minput\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[1;32m 1514\u001b[0m xy \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_denormalize_sky(xy)\n\u001b[0;32m-> 1515\u001b[0m result \u001b[38;5;241m=\u001b[39m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\u001b[43mxy\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43morigin\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1516\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m ra_dec_order \u001b[38;5;129;01mand\u001b[39;00m sky \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124moutput\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[1;32m 1517\u001b[0m result \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_normalize_sky(result)\n", "File \u001b[0;32m~/miniconda3/envs/meer21cm/lib/python3.10/site-packages/astropy/wcs/wcs.py:2452\u001b[0m, in \u001b[0;36mWCS.wcs_world2pix..\u001b[0;34m(xy, o)\u001b[0m\n\u001b[1;32m 2449\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mwcs \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 2450\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mNo basic WCS settings were created.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 2451\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_array_converter(\n\u001b[0;32m-> 2452\u001b[0m \u001b[38;5;28;01mlambda\u001b[39;00m xy, o: \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mwcs\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43ms2p\u001b[49m\u001b[43m(\u001b[49m\u001b[43mxy\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mo\u001b[49m\u001b[43m)\u001b[49m[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mpixcrd\u001b[39m\u001b[38;5;124m\"\u001b[39m], \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minput\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs\n\u001b[1;32m 2453\u001b[0m )\n", "\u001b[0;31mKeyboardInterrupt\u001b[0m: " ] } ], "source": [ "# calculate box dimensions\n", "mock.get_enclosing_box()\n", "# generate tracer field\n", "mock.get_mock_tracer_field(1)\n", "# then grid\n", "mock.data = mock.grid_field_to_sky_map(mock.mock_tracer_field_1)[0]" ] }, { "cell_type": "markdown", "id": "e3e74928-3fb4-4824-9d8e-df611c0ef461", "metadata": {}, "source": [ "Note that here, I choose the first tracer `mock.mock_tracer_field_1` to grid onto the sky. When it is invoked, `mock.mock_tracer_field_1` automatically gets calculated under the hood. When you want to use it again, it is already cached:" ] }, { "cell_type": "code", "execution_count": null, "id": "1ae766f1-c801-405b-98e9-b56db6e65b7f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0075490474700927734\n" ] } ], "source": [ "s_t = time.time()\n", "mock.mock_tracer_field_1\n", "print(time.time()-s_t)" ] }, { "cell_type": "markdown", "id": "148f45ca-5588-4747-8a64-1428df9e6382", "metadata": {}, "source": [ "But if you modify related quantities, for example the underlying cosmology, it will be updated automatically:" ] }, { "cell_type": "code", "execution_count": null, "id": "5d1b0190-4f7c-49cf-9623-68fc7f4b904d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cosmology was: w0waCDM(name=\"new\", H0=67.66 km / (Mpc s), Om0=0.30966, Ode0=0.6888523996875395, Tcmb0=2.7255 K, Neff=3.046, m_nu=[0. 0. 0.06] eV, Ob0=0.04897, w0=-1.0, wa=0.0)\n", "Cosmology now: w0waCDM(name=\"new\", H0=72.0 km / (Mpc s), Om0=0.257, Ode0=0.7429192958579401, Tcmb0=2.7255 K, Neff=3.046, m_nu=[0. 0. 0.] eV, Ob0=0.0436, w0=-1.0, wa=0.0)\n", "1.202225685119629\n" ] } ], "source": [ "print('Cosmology was:', mock.cosmo)\n", "mock.cosmo = 'WMAP1'\n", "print('Cosmology now:', mock.cosmo)\n", "s_t = time.time()\n", "mock.mock_tracer_field_1\n", "print(time.time()-s_t)" ] }, { "cell_type": "markdown", "id": "523f1362-4d52-4b39-9bd2-9e59bfea4be1", "metadata": {}, "source": [ "Note that here the original 'new' cosmology corresponds to Planck18. Note that, `meer21cm` assumes w0waCDM, and the input parameter set for the cosmology is:" ] }, { "cell_type": "code", "execution_count": null, "id": "97264442-9802-4478-8c7d-bf7fdf5940de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'tau': 0.0561, 'Neff': 3.046, 'omega_cold': 0.30966, 'As': np.float64(2.105209331337507e-09), 'omega_baryon': 0.04897, 'ns': 0.9665, 'h': np.float64(0.6766), 'neutrino_mass': np.float64(0.06), 'w0': -1.0, 'wa': 0.0}\n" ] } ], "source": [ "from meer21cm.cosmology import fiducial_dict\n", "print(fiducial_dict)" ] }, { "cell_type": "markdown", "id": "efea7037-81db-4d0e-b65c-a816494a163c", "metadata": {}, "source": [ "You can also manually set any of the above parameters and pass it back:" ] }, { "cell_type": "code", "execution_count": null, "id": "10bdb579-2b89-496d-a2ec-bc413e26da5f", "metadata": {}, "outputs": [], "source": [ "cosmology = fiducial_dict.copy()\n", "cosmology['h'] = 0.7\n", "cosmology['omega_cold'] = 0.25\n", "cosmology['omega_baryon'] = 0.02\n", "cosmology['neutrino_mass'] = 0.01\n", "cosmology['w0']=-0.95\n", "cosmology['wa']=-0.05\n", "mock.cosmo = cosmology" ] }, { "cell_type": "code", "execution_count": null, "id": "47e15280-ec54-42a7-8c81-b81c0b8d11a4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.685748815536499\n" ] } ], "source": [ "s_t = time.time()\n", "mock.mock_tracer_field_1\n", "print(time.time()-s_t)" ] }, { "cell_type": "code", "execution_count": null, "id": "ebcde810-6d48-4cd4-9804-aa59652f638a", "metadata": {}, "outputs": [], "source": [ "mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)" ] }, { "cell_type": "code", "execution_count": null, "id": "319504ca-0026-4cab-a527-af9e2d499e90", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)" ] }, { "cell_type": "markdown", "id": "d383a5ef-3fad-49ab-9ddd-3dbc72bc05f5", "metadata": {}, "source": [ "Note the small difference in colour bar, you can see indeed it has been updated. If you change irrelevant quantity, for example the bias for tracer 2, it does not clear the cache:" ] }, { "cell_type": "code", "execution_count": null, "id": "e287193e-f266-4f2a-b9ed-525f9dbfdb2d", "metadata": {}, "outputs": [], "source": [ "# change tracer 2\n", "mock.tracer_bias_2 = 1.0\n", "# still use tracer 1\n", "mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)" ] }, { "cell_type": "code", "execution_count": null, "id": "93a949e1-d764-438e-be3f-cd06791b455b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)" ] }, { "cell_type": "markdown", "id": "fe544116-a203-4537-9ff8-ea5f02b2bc55", "metadata": {}, "source": [ "The overdensity by default does not have unit. However, you can specify a number, or even a function as the mean amplitude `mock.mean_amp_1`. Currently, HI temperature is supported:" ] }, { "cell_type": "code", "execution_count": null, "id": "3ca133db-0b6a-4e85-ba23-e863b522af19", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.00010919695114461744\n" ] } ], "source": [ "mock.omegahi = 5.4e-4\n", "# in Kelvin\n", "print(mock.average_hi_temp) \n", "# you can simply tell mock to use this as the amplitude\n", "mock.mean_amp_1 = 'average_hi_temp'" ] }, { "cell_type": "markdown", "id": "b819edb0-8bc7-46ac-b34d-77ae77179767", "metadata": {}, "source": [ "Again, the stored overdensity will be multiplied by the amplitude automatically. Just regrid it onto the sky:" ] }, { "cell_type": "code", "execution_count": null, "id": "b1ed3563-29d8-46d5-a08d-58b9e4745bb6", "metadata": {}, "outputs": [], "source": [ "mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)" ] }, { "cell_type": "code", "execution_count": null, "id": "e082e44a-5fe2-42c1-8a89-06afb2660aa5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)" ] }, { "cell_type": "markdown", "id": "c52322cd-a5bb-4569-9eef-a6f94b870e58", "metadata": {}, "source": [ "Now your map is in Kelvin unit.\n", "\n", "## Generate of mock galaxy catalogues\n", "\n", "We may also want to generate some mock galaxies for cross-correlation. It is again done almost automatically:" ] }, { "cell_type": "code", "execution_count": 22, "id": "f09c506f-cd8e-4c09-a78f-483db3e169fc", "metadata": {}, "outputs": [], "source": [ "# base the galaxy catalogue on tracer 2\n", "mock.discrete_base_field = 2\n", "# specify galaxy bias\n", "mock.tracer_bias_2 = 1.0\n", "# specify how many galaxies you want\n", "mock.num_discrete_source = 100000\n", "mock.propagate_mock_tracer_to_gal_cat()" ] }, { "cell_type": "markdown", "id": "d72544a0-8683-4dca-a457-ad87fa31942f", "metadata": {}, "source": [ "Once again, many things are done under the hood. \n", "\n", "First, a discrete sample of tracers are generated in the box. " ] }, { "cell_type": "code", "execution_count": 23, "id": "dbfcccd0-74b8-4e2f-abde-3df4f81696fa", "metadata": {}, "outputs": [], "source": [ "mock.get_mock_tracer_position_in_box(mock.discrete_base_field)" ] }, { "cell_type": "markdown", "id": "c502b369-5bae-43c3-bfb8-39567acbbcb4", "metadata": {}, "source": [ "Then, it is rotated back to (RA,Dec,z) coordinates. \n", "\n", "Note that the number of source positions generated will be larger than `mock.num_discrete_source`. This is because the box will be larger than the survey lightcone to ensure the lightcone will be fully covered." ] }, { "cell_type": "code", "execution_count": 24, "id": "5e207051-255c-481c-8b5c-0258169595f0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.W_HI,mock.wproj,W=mock.W_HI)\n", "ax = plt.gca()\n", "plt.scatter(\n", " mock.ra_mock_tracer,\n", " mock.dec_mock_tracer,\n", " transform=ax.get_transform('world'),s=1,label='mock tracers',alpha=0.2\n", ")" ] }, { "cell_type": "markdown", "id": "53b8ba5b-0efe-460f-b181-d63da2903f4f", "metadata": {}, "source": [ "And finally, excess sources will be excluded and the rest stored as the galaxy catalogue:" ] }, { "cell_type": "code", "execution_count": 25, "id": "1a81ac58-0f7c-4336-ab0f-abc26d3d9660", "metadata": {}, "outputs": [], "source": [ "mock.propagate_mock_tracer_to_gal_cat()\n" ] }, { "cell_type": "code", "execution_count": 26, "id": "33165ddd-9b62-475c-a2f3-d313f7e49534", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)\n", "ax = plt.gca()\n", "plt.scatter(\n", " mock.ra_gal,\n", " mock.dec_gal,\n", " transform=ax.get_transform('world'),s=1,label='mock gals'\n", ")" ] }, { "cell_type": "markdown", "id": "8a2d5447-42e6-484f-a822-77d240ef0f1a", "metadata": {}, "source": [ "You can then use the signal map and the galaxy catalogue for power spectrum estimation, and compare it with model power spectrum." ] }, { "cell_type": "code", "execution_count": 27, "id": "07f4d1f3-5aa0-4469-9e40-83e2da55c178", "metadata": {}, "outputs": [], "source": [ "# internal parameter for compensating gridding effects\n", "# will have more description in another tutorial\n", "mock.compensate= True\n", "# this is to tell mock to use **relatively coarse** resolution\n", "mock.downres_factor_radial = 4.0\n", "mock.downres_factor_transverse = 1.2\n", "mock.grid_scheme = 'cic'\n", "# this is used for shot noise calculation later\n", "himap_rg,_,_ = mock.grid_data_to_field()\n", "# project the galaxy number density to a regular grid\n", "galcount_rg,_,_ = mock.grid_gal_to_field()" ] }, { "cell_type": "markdown", "id": "5ca8a145-e177-47fc-acd4-db6853d5bf76", "metadata": {}, "source": [ "By default, sky map is stored as field 1 and galaxy catalogue is stored as field 2. You can retrieve both the field-level power spectrum and the model power very easily:" ] }, { "cell_type": "code", "execution_count": 28, "id": "19022765-a449-419b-8709-1b1a1bb6f47e", "metadata": {}, "outputs": [], "source": [ "# 1d k-bins in Mpc-1\n", "k1dedges = np.linspace(0.05, 0.5, 10)\n", "# pass it to mock\n", "mock.k1dbins = k1dedges\n", "# get data\n", "mock.field_1 = himap_rg\n", "mock.field_2 = galcount_rg\n", "mock.weights_grid_1 = mock.counts_in_box.astype('float')\n", "mock.weights_grid_2 = None\n", "mock.weights_field_1 = None\n", "mock.weights_field_2 = ((mock.counts_in_box) > 0.0).astype('float')\n", "pdata_1d_gg,keff,nmodes = mock.get_1d_power(\n", " 'auto_power_3d_2',\n", ")\n", "pdata_1d_hi,keff_hi,nmodes_hi = mock.get_1d_power(\n", " 'auto_power_3d_1',\n", ")\n", "pdata_1d_c,keff_c,nmodes_c = mock.get_1d_power(\n", " 'cross_power_3d',\n", ")\n", "shot_noise_g = get_shot_noise_galaxy(galcount_rg,mock.box_len, mock.weights_field_2)\n", "shot_noise_3d = shot_noise_correction_from_gridding(\n", " mock.box_ndim,\n", " mock.grid_scheme,\n", ") * shot_noise_g\n", "psn_1d,_,_ = mock.get_1d_power(shot_noise_3d)\n", "# get model\n", "pmod_1d_gg,_,_ = mock.get_1d_power(\n", " 'auto_power_tracer_2_model'\n", ")\n", "pmod_1d_hi,_,_ = mock.get_1d_power(\n", " 'auto_power_tracer_1_model'\n", ")\n", "pmod_1d_cross,_,_ = mock.get_1d_power(\n", " 'cross_power_tracer_model'\n", ")\n", "\n", "# a naive error bar\n", "perror_1d_gg = (pdata_1d_gg)/np.sqrt(nmodes)\n", "perror_1d_hi = (pdata_1d_hi)/np.sqrt(nmodes_hi)\n", "perror_1d_cross = np.sqrt(pdata_1d_c**2 + pdata_1d_gg*pdata_1d_hi)/np.sqrt(nmodes_c)\n", "\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "56cf862d-e5ee-415a-9b78-4ba3b9c8fb95", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,pdata_1d_gg-psn_1d,yerr=perror_1d_gg)\n", "\n", "plt.plot(keff,pmod_1d_gg)\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_g(k)\\,[Mpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "code", "execution_count": 30, "id": "c6409a0e-1f01-4e8e-8f67-5990ccce4907", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff_hi,pdata_1d_hi,yerr=perror_1d_hi)\n", "\n", "plt.plot(keff_hi,pmod_1d_hi)\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_{HI}(k)\\,[K^2Mpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "code", "execution_count": 31, "id": "98d34ae8-74f8-471a-940d-28e128a2f252", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff_c,pdata_1d_c,yerr=perror_1d_cross)\n", "\n", "plt.plot(keff,pmod_1d_cross)\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_{cross}(k)\\,[KMpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "markdown", "id": "eb06f586-7b5e-4f99-9216-c71578654d03", "metadata": {}, "source": [ "Note that, the model power spectrum is automatically set to include all the effects from potentially beam convolution, weights convolution, sampling effects etc. The weighting and impacts on the power spectrum can be found in [the dedicated cookbook](https://meer21cm.readthedocs.io/en/latest/cookbook/obs_effect_model.html)" ] }, { "cell_type": "markdown", "id": "9fc64dbf-6e50-4000-973a-7d415526930e", "metadata": {}, "source": [ "Internally, `mock` uses a fixed seed number to generate the random fields. If not specified, it will use a random integer from 0 to 2^32:" ] }, { "cell_type": "code", "execution_count": 40, "id": "1176e206-9b25-4956-b118-ad9413ace175", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2268282742" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mock_temp = MockSimulation()\n", "mock_temp.seed" ] }, { "cell_type": "markdown", "id": "0997e4c6-addc-433a-9c6e-93370c9a14fb", "metadata": {}, "source": [ "Therefore, you can easily run independent realizations of the signal map for various purposes. Let us run a bunch of signal-only realizations to see if our power spectrum estimation matches the input, and also to calculate the signal covariance:" ] }, { "cell_type": "code", "execution_count": 54, "id": "cc2f1b0f-c74b-465c-b69a-12be631bbd51", "metadata": {}, "outputs": [], "source": [ "def run_one_realization(seed=None):\n", " mock = MockSimulation(\n", " survey=\"meerklass_2021\",band=\"L\",\n", " ra_range=ra_range,dec_range=dec_range,mean_amp_1='average_hi_temp',\n", " tracer_bias_2=1.0,tracer_bias_1=1.0,\n", " downres_factor_radial=0.5,downres_factor_transverse=0.5,\n", " k1dbins = k1dedges,num_discrete_source=100000,compensate=True,\n", " seed=seed,kmax=5.0,grid_scheme='cic',\n", " )\n", " mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)\n", " mock.propagate_mock_tracer_to_gal_cat()\n", " mock.downres_factor_radial=4.0\n", " mock.downres_factor_transverse=1.2\n", " himap_rg,_,_ = mock.grid_data_to_field()\n", " galcount_rg,_,_ = mock.grid_gal_to_field()\n", " mock.sampling_resol = np.array([\n", " mock.pix_resol_in_mpc,\n", " mock.pix_resol_in_mpc,\n", " mock.los_resol_in_mpc,\n", " ])\n", " mock.compensate = True\n", " mock.include_sky_sampling = [True, False]\n", " mock.field_1 = himap_rg\n", " mock.field_2 = galcount_rg\n", " mock.weights_grid_1 = (mock.counts_in_box).astype('float')\n", " mock.weights_grid_2 = None\n", " mock.weights_field_1 = None\n", " mock.weights_field_2 = ((mock.counts_in_box) > 0.0).astype('float')\n", " shot_noise_g = get_shot_noise_galaxy(galcount_rg,mock.box_len, mock.weights_field_2)\n", " shot_noise_3d = shot_noise_correction_from_gridding(\n", " mock.box_ndim,\n", " mock.grid_scheme,\n", " ) * shot_noise_g\n", " # get model\n", " pmod_1d_gg,_,_ = mock.get_1d_power(\n", " 'auto_power_tracer_2_model'\n", " )\n", " pmod_1d_hi,_,_ = mock.get_1d_power(\n", " 'auto_power_tracer_1_model'\n", " )\n", " pmod_1d_cross,_,_ = mock.get_1d_power(\n", " 'cross_power_tracer_model'\n", " )\n", " # get data\n", " pdata_1d_gg,keff,nmodes = mock.get_1d_power(\n", " 'auto_power_3d_2',\n", " )\n", " pdata_1d_hi,keff_hi,nmodes_hi = mock.get_1d_power(\n", " 'auto_power_3d_1',\n", " )\n", " pdata_1d_c,keff_c,nmodes_c = mock.get_1d_power(\n", " 'cross_power_3d',\n", " )\n", " psn_1d,_,_ = mock.get_1d_power(shot_noise_3d)\n", " return [[pmod_1d_gg,pmod_1d_hi,pmod_1d_cross,pdata_1d_gg-psn_1d,pdata_1d_hi,pdata_1d_c],]" ] }, { "cell_type": "code", "execution_count": 55, "id": "41615c54-561d-452b-93c1-582ccb7f4ca6", "metadata": {}, "outputs": [], "source": [ "power_arr = []\n", "s_t = time.time()\n", "for i in range(10):\n", " power_arr += run_one_realization(i)\n", "t_used = time.time()-s_t" ] }, { "cell_type": "code", "execution_count": 56, "id": "d7665ce5-8004-479f-944b-e3d10f3b4f80", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time used in seconds: 92.46432900428772\n" ] } ], "source": [ "print('Time used in seconds: ',time.time()-s_t)" ] }, { "cell_type": "code", "execution_count": 57, "id": "a1a93047-8957-4e96-b00f-f0796f3d9f9e", "metadata": {}, "outputs": [], "source": [ "power_arr = np.array(power_arr)" ] }, { "cell_type": "code", "execution_count": 58, "id": "fed6e0d6-3d98-4cbb-85e5-1c91820f35b5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 0\n", "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,power_arr.mean(0)[i+3],yerr=power_arr.std(0)[i+3])\n", "\n", "plt.plot(keff,power_arr.mean(0)[i])\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_g(k)\\,[Mpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "code", "execution_count": 59, "id": "4b3e5cc0-55f1-4067-b525-39296c54931a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zTG+Cw/HnvptYdOwuIvRGaGBAa80+9NOuQWpNMFCsU+QySC6plS6ViIiSAEOYFWAIs2x3XrzD+O3/YOeVp3LbVR2Or9Vr0UmzA44OjkD5fkDpr7kMEhGRlWEIswIMYdbhxO2X+GnrP7j0MEBuZ9QG4AfVIjRQH4MqZYbI/mKFWnEZJCIiK8EQZgUYwqyHwWDEhvMP8euO63gSGCr3FbG7hx9V81BMfQNImx+oMSpyGSQiIrJoDGFWgCHM+oSE6zHn8G3MOHgLweF6ua++3Wn8oFoMb/VzIHuVyGWQ0hVQulQiIkoghjArwBBmvZ4FhmLSbj+sPO0P8RtorzKgk2Y7emnWIaUqFCjUOvI0pVtGpUslIqLPxBBmBRjCrN/VR4H4eds/OHLzhdz20IbhWyyVV1Nq7ewjJ+6LCfxcBomIyGIwhFkBhjDbIH4FD1x/Ljvv33r+Tu7LYf8KQ4xzUEV9HioXT6DSIKB4J0Bjp3S5RET0CQxhVoAhzLZE6A1YcfI+Ju+5gVfvwuW+8g63MNQ4C3nV/oCHD1B9JJC3AZdBIiIyYwxhFozLFtm2wNAITNt/E/OP3EW43gAVjPjC4Tj6YzG8VG8A71KRyyB5l1S6VCIiigFDmBXgSJht838VjF92XMOWi4/ltrNGj56aTeiq2ggnVTiQt2HkyJinD4LDdfAdvlMed3V0LTjbaxWunojIdgXG8/1bnaxVEVG8eXs4Y2qboljbsyyKZE6FYL0Gv4U3QVXjDKzTV4Dh6mZgWklg20Ag+KXS5RIR0WdiCCMyc8WyuGNdz7L4s3URZEzlhMfhTvguoicaqX7HCV0O4ORfcJpRTI6SOSByLhkREZk/no40YzwdSf8VGqHH/KN35Zyxt2E6ua+W83UM0v2FbOonuGfwQtqOC+GYvazSpRIR2axAzgmzfAxhFJsXb8MwZY8flp/0h95ghJ3aiKaq/RisXQ43dQhUFb4HKg1kSwsiIgUwhFkBhjD6lBtPg2Sz1/3Xn8vtFAjG73bTUE1zDshYDGg6W07cJyKi5MOJ+UQ2IGdaV8zvVBJz2heT22/hjC4RAzDY0BPBDy4DM8sDZxaIjrBKl0pERP/BEEZkBcrmSP3B9vLwCqhrmIxzYemBzX2BFV8C7yKXRiIiIvPAEEZkZeZ1LI70bo64G5EKzSNGY7KuBXTXtgPTywA3ditdHhER/YshjMjKlM7uiR19K6JhoQzQG1X4XdcEzY3jcSdIDSxtDmz9HggPVrpMIiKbxxBGZIXcnO3wR+si+L1VYbg6anE+PBPq6iZgma4qjCdnA7MqA48vKF0mEZFNYwgjsmKNCmfEzn4VUSa7J0IMGgzRdUU34xC8eP4YmF0NODIZMOiVLpOIyCaxRYUZ4gLeZGoGgxHzjt7Brzuuy0XBPbWh+EU1FdU1Z4Es5YEmM4FU3kqXSURkFdgnzAqwTxiZ2rUngei34jyuPQmS263tDuJH9QK4ODoC9X4DCrZQukQiIovHPmFE9JE86VJiY+9y6F4xO1QqYHlEJdQzTMK5kNTAuq7Ami5AyBulyyQisgkMYUQ2xkGrwZC6ebG0aylkkK0s3P9tZdEcEZfWAzPKAXePKF0mEZHVYwgjslFlfVJje7+KaFQ4qpVFUzQ3/Iw7b3TAgvrA7hGALlzpMomIrBZDGJENc3Oyw++tish2FikdtbgQ4Y26ul+xVFcFxiNTgDlVgefXlS6TiMgqMYQRkWzsuqNfRZT1Ea0stBiq64quhsF4/vge8FdFQPQW4zU8REQmxRBGRFKGVE5Y0qUUfqyXF/ZaNfZGFEBt3WTsDvMFtn0f2W0/6KnSZRIRWQ2GMCKKplar0LVCdmzuXR550rnipd4J3SK+x2Bdd7y7cRiYUQa4tlXpMomIrAJDGBF9JHc6V9nK4quoVha6yqin/w1n37oDK9oAm/oAYW+VLpOIyKIxhBFRrK0sBtfNi2VdS0e2stB5oEXEKEyKaI6IM0uBvyoAD04rXSYRkcViCCOiOJXx8ZStLBr/28riD31TNNePxe0XwcDcmsCBXwC9TukyiYgsDkMYEcWrlcWUVkXwZ1QrC11m1NP9iiURlWHc/zMwvw7w6o7SZRIRWZQErx25aNEikxXRvn17kz2XNeHakWSOHgeE4PvVF3D05ku5XVV7Eb9opiONgwGo8ytQuA3kRDIiIhuV5At4q9VqqEz0D61erzfJ81gbhjAyVwaDEfP/votfdlxDuM4AD00Ixquno6bmDJC3IdDgd8DZQ+kyiYisN4QVLlwYjRo1SnCRGzZswMWLFxnCYsEQRubu+pMg9F1xDteeBMntlpoDGK5dCJeUHkDj6YBPVaVLJCIy2/dvbWJeRISwESNGJPjxd+/elSGMPjRt2jR5YzglS2llMWmXH2Ydvo2V+so4jgKYFPAHii1uApT+Gqg2ArBzVLpUIiLrmZgvkp2zs3OiXtzJyYkjPDHo1asXrl69ilOnTildClG8W1ks71YaGVM54Z7eEy3CR0a2sjj2FzC7CvDkstJlEhGZnQSfjqSkx9ORZGkCQyMwYuMVrD/3UG4X0tzDJM0f8LF7GTkiJkbG1Lwom4isW3zfv/mvIRGZTEpHO0xuWRhT2xSRbS0u6LOgXsQvWBxWEcadQ4HFjYCAyIBGRGTrGMKIyOTqF8yAnf0qonyO1Ag1ajFM1xlddD/g2e0LwIyywJX1SpdIRKQ4hjAiShLp3ByxqHNJDK/vC3utGvv0hVA74jfseucDrO4IrO8BhAYqXSYRkWWEsE2bNqFly5Zo2rQpdu3aJfetX78eefLkgb29PXLlyoV58+YlVa1EZGHUahU6l8+GLX3Kwzd9SrwyOKN7RH/8ENEdb8+vB2aWA+4dU7pMIiLzDmErV65E48aN8ejRIxgMBhnE5syZg1atWqFixYqYMmUKSpQogW7dumH79u1JWzURWZRcaV2xvldZ9KjkI5vpi1YWdXUTcOaVA7CgLrB3DKCPULpMIiLzvDqyWLFiKFeuHP7444/oUNauXTv0798f48aNiz5OhLCbN29i//79SVe1jeDVkWSNTtx+ie9WXcDDNyFQw4hemg34RrsOdhkLAk3nAKlzKF0iEZF5XR15/fp1ORIWpW7dutDpdKhdu/YHx4ljRI8rIqKYlMruie39KqBpkYwwQIU/9U3QTPcTbj14AvxVATg9D2DnHCKyAfEOYXZ2dggNDY3ejmrU6urq+sFxjo6OePfunSlrJCIrbGUxqWVhTGtTVLayuChbWYzH4pCyMG7+FljeGnj7XOkyiYjMI4TlyJED58+fj97WaDR4/PgxChUq9MFx165dg7e3t2mrJCKrVK9getnKokJO0crCTray6CRaWVz/G5hRBvDbqXSJRETKh7A+ffrAxcXlg31p06aVYex9a9euRZ06dUxXIRFZfSuLhZ1KYkSDyFYWB/SFUCviN+wIzAIs+wLY8h0QHqx0mUREJsdli8wYJ+aTrfF7GoR+K87j6uPI/mEtNAcwQrsIKVJ7A81mAxmKKF0iEdEncdkiIrLIVhYbepWLbmWxWrSyiPgVZ8T0sDnVgcO/AQa90mUSEZmEyULY27dvcfHiRbx48SLWY8R94hhO3Cei2IhTkoPq5MGKbqWRMZUT7htSo0X4CEwMa4KIPWOBBfWB1/eULpOIyHxC2KRJk1CkSBHcunUr1mPEfeKY33//3VQvS0TW3sqiqGhlocZUfRM0jRiDm3fvAjPLAxdWspUFEVk0k80JE93yxTlQ0U8sLmJpo1SpUuHkyZOmeFmrxjlhRJG2XXqMIesv4U1wBBxVERiiWYJ2mt1QFWgG1PsNcHJXukQiIuXmhN2+fVuuIfkpefPmxZ07d0z1skRkA+oW+LCVxXBdJ3SM+AHPLu0FZpQD7hxSukQios9mshAWEhICJyenTx4njhHzx4iIPkfalJGtLEY28IWDVo2DBtHKYgJ2vE4PLGwI7BoG6MKULpOIKPlDmGjQeurUqU8eJ47JkCGDqV6WiGyIWq1Cx3LZsKVPeeTLkBKvDS7oEfEdBkR0w9ujs4DZ1YBn/yhdJhFR8oawWrVq4e7du5g8eXKsx4gJ+eJU5H/Xm6QPTZs2Db6+vnKeHRF9LGdaV6z/uhy+rvz/VhZ1In7F6cdhwF+VgOMzAYNB6TKJiJJnYv6DBw9QoEABORlNdMzv3r07fHx8oq+KnDVrFrZv3y7Xmrxw4QKyZMliipe1apyYT/RpJ++8wrcrz+PhmxCoYUBPzSb01a6FfY7KQOPpgGs6pUskIhsTGM/3b5N2zD98+DCaNWsm+4GpxJ+n7xEvkzp1aqxevRqVKlUy1UtaNYYwovgJCo3AyE1XsfbsA7mdX30XU7RTkcMlFGj4B5C3gdIlEpENCVQihAmvX7/G7NmzsXfvXvj7+0fPF6tevTq6du0Kd3deSh5fDGFEn2f7pccY/G8rCwfZymIp2mt2QVW0HVB7POCQQukSicgGBCoVwsh0GMKIPt/TwFAMWHMRh/zEWkdAJfUFTLD7C14e7kDT2YA351oSkQ2sHSlGxcSNOY+IkreVRQmMapjv/60swidgx4vUwLxawIHxgF6ndJlERKYPYZs2bULNmjWRIkUKOQdM3MRkfLFv48aNpn45IqKPiDmpHcpmxdZv/m1lYRStLL7F9+FdEbR/SmQYexn7EmtERMnBZKcjxdN06dIFCxcujB75EssTCW/evIl8MZUK7dq1w/z58z+auE8f4+lIosQL1xkwZY8fZh68BYMRyKR6gcl201DC4QFQ5xegSFvxj5PSZRKRFUn205GiB9iCBQuQPn16zJgxQwavV69eyZsoYubMmfK+xYsXcwFvIko29lo1BtbOg5VflUEmdyc8MKZGy/Bh+DW4PsI39gVWtgXevVS6TCKyQSYbCRPNRe/fv49Lly4hW7ZsMR4jGrWKXmKZM2fG1atXTfGyVo0jYUSmb2UxavNVrDnzbysL1V1MsZuKHCkNQONpQI7qSpdIRFYg2UfCRMCqVq1arAFMEPeJY7iANxEpwdXRDhNbFMLMtkXh7myHy8asqBc+DgveFIRxcTNg+w8IfheErIO2yltwOCfwE1HSMVkIS5MmDezt7T95nJ2dnZysT0SklNr502Nnv4qolCsNwmCHkbqOaB8xCE+Pr4Dj/GrwVd1VukQisgEmC2FNmjTBvn37ZEuK2Ij5YeKYxo0bm+pliYgSxCulIxZ0KoHRjSJbWRw2FIxsZfHUDRvsh6GNZq/SJRKRlTPZnLCgoCBUrVoVOp0Ov/32m/z8ffv378f3338PtVotg5hoW0Fx45wwouRx89lb9Ft5DpcfBsrtpupDGGW3EI5lu8GuxihAnaQtFYnIyiR7x3wRusLCwnDs2DHZfsLDwyN6kW4xYf/ly8irj0qXLg0HB4cPi1Cp5DJH9CGGMKLkbWXx+14/zDgQ2coil8ofc+0mwLtgJaDxDED74b9bRERmE8LECFdCiRCm1+tNUYZVYQgjSn5HbjxH27kn5eeeCMAc+4koki0d0Gop4MS1b4nIdO/fWpgIr3gkImtQNMv/g9ZLuKFV+DBMuj0D9ebWAr5cDbhHjvATESWWyUJY1KlHIiJrUTlXGhzwe45eEX1x98kKfD27OlRtVwEZiihdGhFZAc42JSKKxZ9tiqBzucjehxN0rTAwoDHC5zUA/HYqXRoRWQGGMCKiWGjUKgxv4IsxjfJBrQJW6yujffA3eLOsC3B6ntLlEZGFS/DE/OzZsyf8RVUq3Lp1K8GPtxWcmE9kPg5cf4bey87ibZge2VWPMM9uArJWbANUHc4WFkSUvFdHiqshRZhKyMN5NWT8MIQRmZdrTwLRZcEpPHwTilQIwiz7SShZsADQeDpbWBBR8oewokWLom3btmjUqBGcnJzi/fi0adMm5GVtCkMYkfl5FhSKbgtP48KDANgjAr/YzUKT7Cqg1RK2sCCi5Alhq1atwtKlS7Fjxw7ZJT9FihRo2rSpDGSicasIaJQ4DGFE5ikkXI/vVp3H9stP5PY3mnX4Nt0lqNqyhQURIfmatYr1IFesWIElS5bg+PHjMnylT58erVu3xpdffonChQsn5ultGkMYkfkyGIyYsOu67LAvNFQfxa/uG+D45VK2sCCycYHJ3TE/qmGrCGPLli3D9evXZSDLmzcv2rVrhzZt2sDb29tUL2UTGMKIzN+qU/4Ysv4idAagmOo6ZjnPhGfLqUCumkqXRkS2FMLed+rUKXm6cuXKlXj27BnSpEmDJ08ih+4pfhjCiCzD37deoMfiMwgM1cFb9Qzz7X9Djgb9geKdlC6NiMz4/TvJrqsWHfRFG4sMGTLIKygNBkNSvRQRkaLK+qTGuq/LIYuHE/yNXmgSNhxHN84G9owS5y2VLo+IzJRJQ1hwcLA8HVmnTh1kypQJ3377rTxF2a1bN6xbt86UL0VEZFZyeKXA+l7lUTyLO4Lggg4RP2DFgbPA+u6ALkzp8ojIDCX6dKQY4dq5c6cMX5s2bZJBzN7eHvXq1ZNXStatW1duU/xNmzZN3kQvNT8/P56OJLIgYTo9flhzERvOP5LbX2k24wcff6hbs4UFka0ITOo5YSdOnIie8/X8+XM5Cb9ixYoyeDVv3ly+OCUO54QRWSbxz+ofe29i8h4/uV1LfRJT0u2GU/sVQKrMSpdHRNbSrLVAgQKyFYW4+jFjxoyJqZn+gyGMyLJtPP8QA1afR7geKKi6hTnui+DVdg6Qga17iKxZsoUwjUbz2Y8VjwsL4xyJT2EII7J8p+++QveFJ/EqRI8MeIE5ztPg23oskLOG0qURkSVfHSnym+iW/7m3iIiIxLwsEZHFKJ7VA+t7V0B2Tyc8Qmq0CB6I/Yt/Bk7PV7o0IlKYOjET8hNzIyKyFVk8XbC+VwWUze6Bd3BCl/DvsHDDNmDvaPHXrNLlEZFCkqxPGBER/Z+bsx0WdimFlsUzwQA1Rug6YuS+59Ct/YotLIhsFEMYEVEysdOoMb5ZQQyqk0duL9DXRrezmfF2YSsg5I3S5RFRMmMIIyJKRuLCpB6VfDDjy6Jw1AD7DUXQ/GYNPJrVAnhzX+nyiMhcQ9ilS5fQo0cP1KpVC7169cLVq1c/Oub8+fNyuSIiIopdnQLpsbJHOaRxVuOaMQsaPe6AizM6AY/OK10aEZlbCDt69ChKlCiBI0eOwN3dHTt27EDhwoUxZsyYD44TrSfu3buXFLUSEVmVQt6psOGbysiTxhHP4Y4vAnphx6yhwI3dSpdGROYUwoYMGYKmTZvK0bAVK1bgxo0bmDBhAsaNG4fWrVuz7xcRUQJkTOWE1b0qonIOd4TCAT1De+CvhQthPL1A6dKIyFxC2IULF9C5c2c5n0E+UK1G3759sX//fhw4cABVq1bFixcvkrJWIiKr5OpohzmdSqN9KW8YocY4XWsMWX8JEbvHsIUFkRWLdwhzdnbG27dvP9pfqlQpHDt2DG/evEHp0qXxzz//mLpGIiKrp9WoMbpJQYyo7ws1jFiur4qO++0RsLoXoAtXujwiUjKEFS1aFBs3bozxvqxZs+Lvv/9G5syZ0bVrV1PWR0RkUzqVz4bZHUrAWWvEUUN+ND1XGPfndWALCyJbDmHt27eHn58fXr9+HeP9Yo2knTt3omPHjjKMERFRwlTLmxZrvq6I9C7ALWNGNLndAGdmdAXe+CtdGhGZUIIX8KakxwW8iWzb08BQdJlzCJefRcAe4ZjguhKNOg8G0hdSujQiUnIB74cPHyb0oRg0aFCCH0tEZCvSpnTEqt5VUTNXSoTDHn2D2uGPmdNg9GMLCyJrkOAQVqVKFTx58uSzHyeavIrWFkRE9GnO9lrM7Fge3ctmlNuTwhqh/8J9CDu5UOnSiEipEHbz5k0ZxJ4+fRqv48VZzw4dOmDGjBlIkSJFQl+WiMjmqNUqDGlYGD83ygsNDFinL49265/j1Y5xbGFBZIshrEWLFrh+/brsD/bs2bM4j9XpdPL4xYsXy277u3dzKJ2I6HO1KZMdCzqXgqtWj5PGvGhy0Au3lvVnCwsiWwthy5YtQ7NmzWRfsGrVqsXaqDU0NBQNGjTAunXr4OXlJZu7lixZMjE1ExHZrAq5vLCuTxVkctHjnjEdml4qhWN/9WYLCyJbCmEajUYuX9SkSRNcuXJFBrGXL19+cIxo7ioW+xatKzJlyoRDhw6hYMGCpqibiMhm5Uzrig3f1kIRLxUCkALt/eth9Z8DgYAHSpdGRMkRwqKC2MqVK9GoUSO5pmSNGjWi+4i9evVKnqo8fPgwfHx85MdcuXIl5uWIiOhfqVM4YHmfWqifywkR0GLAq0aY8PtvMDy6oHRpRJQcIUzQarVYvXo1GjZsiPPnz8sgdvXqVVSqVAmnT59Gvnz5ZADLkiVLYl+KiIje42inwR8dq+Cbsl5ye1pwdfSZvgGh1zjvlsimmrVGRETIOWJbtmyRi3sbDAa51JE4Fenp6WmKl7A5bNZKRPG19rgfBm24hghoUFh1E7MbeCBN2XZKl0VkkwKTulnrf9nZ2WHt2rWoV6+eDGDly5eXk/AZwIiIkl6z0rmwpEsppNKE47wxBxpv0uP6xt/YwoLIGkfCxHywBL+oSiXbVlDcOBJGRJ/rzvO36DxjJ+4EO8IVwZia6wIqtR8OaO2VLo3IZgQm9UiYyG4JvYmRMiIiMr1saVJg/fcNUCpNBILgjM5+JbFk6jAgNEDp0ojIVCFMBKnE3IiIKGmkcrbH4r4N0SynGnpo8OOTihjz20ToX/srXRoRJcWcMCIiMh/2WjUmdq6NAWUiT4XMDSqNryYvw7t755UujYj+xRBGRGSlxPzbXo0qYGqjzLCHDnvC8+OLv47hyQW2sCCy6BAmmrEGBwcn6sXF48XzEBFR0qlfpgBWdCkKT00Irhgyo9HyJ7i8d5nSZRHZvASHsDRp0qBPnz6JevFevXrJ9SSJiChpFc3pjQ19ayCnUyCewgMtdjtg94o/2cKCSEGJvjoysUzUK5aIiD7B28sNawc2QwWPQITAEd3PZ8WcGRNgjAiT9weH65B10FZ5E58TUdLSJubBR44cQefOnRP1eCIiSj4pnewxr39LjJi7DstuO+Gn+/lw97ffMbJPd8AuhdLlEdmURIWwmzdvyltiJ44SEVHysdOoMbZbM2RfvxNjT0ZgyZt8uD9hESZ2q690aUQ2JcEhTCxJRERElkn8Ady1aW1k9jqOvlse4VCoD9pO3wcf6HELmZQuj8gmJDiEVapUybSVEBFRsqtZvjRWp76OLovPwk+fHh4IQEGVOMNRS+nSiKwe+4QREdm4/HlyY8M3VeHr8Byv4Iabxkw4dmSP0mURWT2GsCSyYMECOdz/39uBAweULo2I6CPp06bFwm+bwFd1F8FwRI9dYdi6a6fSZRFZtURNzKf4XQGq0Wiit319fRWth4goNi7OLvAzZkJx1XWcNuZG733heBOyDV82qqt0aURWiSEsiZUqVQpaLb/NRGQZdNDinNEHbTxvYNnLnBh6zIg3YdvwdYs6vJqdyMR4OpKIiD6ghxZDe3XHN+muyO0JZ434afE2GAxsrk1k1iEsPDwcFy5cwJ49e7BmzRr5UWyL/UnhzJkzGD9+PJo2bYpMmTJFz736lJCQEAwfPhy5cuWCo6MjMmTIIBvPPnz40KT1ZcyYUY6EFSxYUH4/iIgsgUprj+/6fIfh3hfk9tyrwPdztiBCb1C6NCKroTKaYN2g58+fy4noW7duxcmTJxEWFrkExvscHBxQsmRJ1K9fHx06dJBrT5pC48aNsXHjxo/2x/VlhYaGokqVKjh+/DjSp0+PChUq4O7du7J2UZfYnz179kTVtXPnThkQxelIEfjmzp2LDRs2yFujRo3i9RyBgYFwc3NDQEAAUqZMmah6iIgSRK/D+jlj8f2dItBDg+qZDJj6VV042v1/risRJez9O1EhTHTLHzZsGNavXx890pU6dWrkzp0bHh4e8oVFAa9fv8a1a9fw8uVLeYy9vb0cuRo9ejRy5MiBxPjll1/w7t07lChRQt6yZs0qQ2BcX9aPP/6IsWPHokyZMti1axdSpIhcqmPSpEno37+/7IH2/lWMb968wZMnT+Ksw9nZGZkzZ47zGBH2xPfpxIkT8fraGMKIyCwY9Ng7fyS+vlEUYbBHSS8D5nxdGykd7ZSujMg2Q1jv3r0xe/Zs6PV6OarUpk0bVK5cGdmyZYv1Mbdv35ad9pctW4aDBw/Kqwa7d++OP//8E6YiTi3GFcJECPLy8pLfmLNnz6JIkSIf3F+oUCFcvHgRp0+fRrFixeS+mTNnomfPnnG+7n+DW0wmTpyIoUOHxjhSGBOGMCIyGwY9Ti4ehi7/FEYQXJDX3YCFX9eAl6uj0pURmZ34vn8neE7YvHnzZDC5f/8+du/ejU6dOsUZwARxiq9Lly7Yu3cv7t27hx49esjnSU5Hjx6V3xQfH5+PApjQvHlz+XHz5s3R+0SdItTFdWP/LyKyamoNSrYbg5UFziA13uCf12q0+H03/F8FK10ZkcVKcAgTo1pTpkyRE9oTOmH9999/x61bt5CcxEUCQtGiRWO8P2q/GA0zJRHUxGnbmIIfEZFFUGvg23oc1ha5AG/VM9x7q0azP/fi+pMgpSsjskgJbmCVLl06kxRgqueJLzFyJ4grKWMStV+M1CWGGFETFyKIqyLF6cc5c+bg2LFj2LRpU6yPEce9f6pSDGcSEZkVtRpZWozHWu0PaH86FNdCMqPFtIOY37UsimXxULo6IttsUfE5p+NGjRoFpbx9+zZ6In1MXFxc5MegoMT9ZSdaX4jgJS5AaN26NV69eoUtW7bIq0NjM27cOHkOOerm7e2dqBqIiJKEWg2vJr9gZanbKKa6jsAIFb6c9Tf2X3+mdGVEthnCRNsFMdH9U8TVlOKqSGv3888/w8/PD8HBwfIm5qLVrRv30h+DBw+W89Wibv7+/slWLxHRZ1Gr4dboVywp8xiV1ecRqleh24KT2HjetL0WiayZSZu1ipBx48aNWO8XVwaK1hBilEgpUe0oRDCKiWh3Ibi6uiK5iV5q4iqK929ERGZLpYJTg18xu2wgGqmPQmdUod+Kc1h07K7SlRHZVggTDVPFHKaaNWvG2HV+0KBB8nRbnjx5ZJsKpUT18nrw4EGM90ftz5IlS7LWRURkkVQq2NUbj8nlDeig2QkjVBi+8Qqm7PGLs18jEZkwhIkeYcuXL5chRgSxqMaswoABA/Drr7/C19dXBrDknoz/3z5gQmynTqP2iwn1REQUDyoV1HXGYWQFV3yrXS13TdlzAyM3XeF6k0TJdTpSzAsTDVxFd/w6derISfDfffcdfvvtN+TPnx/79u1D2rRpoaRy5crJSe+iNcb58+c/uj9qfccGDRooUB0RkYUS6/bW+gl9K3pjtHY+VDBg4bF7+HbVea43SZRcC3h37NgREyZMkB3nxfJFopeYCGCiQavoVK80sWSS6PYv9OrVK3oOWNSyRaI/mOh+H9Utn4iI4kmlAmqMRvtK+TDFbhq00GHj+Ufotug0QsL1SldHZJ0LeMe2PqO4QlCc/tuzZw88PT2T4mXkouFjxoyJ3haLcIsvSSyc/f4VmfXq1ftgAW9x+lSs4Ri1gLfoCya2TbWAd2JMmzZN3sSSUOIKSy5bREQWRbyt7BuDAwd2o0fEtwiFA4plcce8DiXg5sz1Jsn6BSb12pFVq1b95DGiLYOYB+bu7v7hi6pUcmTMFBYsWCCXTIrL/Pnz5Qjd+0JCQuSFAmIdS9EKQiw4Xrt2bRnoYmvkmty4diQRWSzx1rL/Z5w5sB6dwgciEC7IndYVi7uUhFdKrjdJ1i3JQ5hanfAzmSKEiVEeihtDGBFZvP3jcG3/UrQPH4RncIe3hxOWdCmFLJ6RjbGJbPn9O8HLFt25cyehDyUiIltRZTDyqNRYu28k2kYMxr1X6dBsxjEs6lwSvhn4xyXZtiSbE0aJx5EwIrIahybg+d4/5IjYP8ascHXUYm6HEiiZjetNku2+f5v86kgiIqKPVByANNX7YYX9Tyip+gdBoTq0m3sCe/95qnRlRIpJcAi7cuWKSQow1fMQEZGZq9AfbjV+wCL78aiuPoMwnQHdF5/BurMxr2BCZO0SHMJER/nWrVvLvloJce7cOXzxxRfRHeyJiMgGlO8Hx1ojMMNuCpqqD0NvMOK7VRcw7wjnGZPtSfDE/BEjRmDixIlYtWoVChQoIAOZaHJapEgRuRD1f4neXCJ4HThwQLaFuHr1KlxcXOTzEBGRDSnbB3YqNSbuGIpUuiDM09fF6C1X8To4HN/VyCWvoCeyBYmamP/s2TOMHTsWixYtkpPPxC+OVquFt7e37A3m6uqKoKAgvHr1SvbiEm0pxMuJyWqit9fgwYNlc1T6EJu1EpFNOD4Dxu2DMF3fCBN0LeWuL0tlxuhG+aFRM4iR5UryPmH/bXwqRsS2bNmCI0eO4OnTjydaikW7RWd60blenIZ0dGSzvk/h1ZFEZPVOzAK2D8BSXVX8qOsCI1SoVzA9Jn9RGPZaXjtGlilZQ9h/PX/+XI6SiRcXRYg1Izni9fkYwojIJpycDWz7Hlv1pdBP1wcRRjUq5EyNmW2LwcUhwbNmiGwzhJFpMIQRkc04PQ/Y8i0O6/PjK/0PCDZoUNg7FeZ3LAF3F3ulqyP6LOwTRkRElqN4Z6DB76iguYyl2pFIpY3Aef83+OKvY3gSEKp0dURJgiGMiIjMQ7GOQMOpKKK+jdXqIUhnH4obz96i2Yy/cfv5W6WrIzK5JDsdWbFixc86/tChQ0lRhkXj6UgisknnlgIbe+GB0RPtVeNwO9QFni72WNi5JPJndFO6OiLlF/D+FB8fn6R6aiIismZFvgRUamTa0BOrjP3R0eUXXH7nhlazjmN2++Io4+OpdIVEJsGJ+WaMI2FEZNMurAQ29ECQwQHdHH7F8UBP2bZiausiqJkvndLVEcWKE/MtmGjU6uvrixIlSihdChGRcgq1BJrMgqs6DAvCvkNN9ycI1xnQY8kZrDrtr3R1ROY7EjZ69OjPOn748OFJUYZF40gYERGAy2uBtd2gMxgx2PVnrH6RWe4eWjcvulXMrnR1RObXJ0wsXfRfjx49kk1b7ezsPixCpcL9+/eTogyLxhBGRPSvK+uBNV1gNOgx3n0U/nqSU+7uWdkHA2vl5nqTZFYUD2H/pdPpYG9vj9OnT6No0aLJ8ZIWjyGMiOg9VzcCazoDBh1meg7G+IcF5O5WJbwxtkkBrjdJZsPs5oTxrxQiIkoU30ZAiwWAWoseL8dhfJbTELlrxSl/9Fp6FmE6vTwsOFyHrIO2ypv4nMhccWI+ERFZjrwNgC8WAWo7tHo6CdOzHoW9RoUdV56g84JTeBvG0EWWgyGMiIgsS556QMvFgMYetR9Pw4Jse+Fir8HRmy/RZvZxvH4XrnSFROYZwnhakoiIEi13HaDlUhnEyj6Yg+VZt8LD2Q4XHwSg7dyTSldHFC9J1jE/tmWLunTpghQpUny0n8sWERHRZ8lVE2i1HFjRBgXvL8KqLOFo/+QL3HnxTunKiOIlWZct4lJGRERkUjmrA62XASu+RI57K7Amazja2rXH7RfB8u6Dfs9RJ396paskihGXLTJjbFFBRBRPt/YDy1sBulA8z1IfJa+3gvHfGTd9q+WUNzVbWJC19Qnbtm0bNmzYAH9/fzg4OKBgwYLo1KkTsmXLlpinJYYwIqLPc/sAsEwEsRDs1hXFV7pvYYBG3lU5dxpMaVkYqZztla6SbEBgcoSwL7/8EitWrJCfRz2NmHgvwpjY37Bhw4Q+NWx97Uhx0+v18PPzYwgjIoqvO4dgXNYSqohgHNbnx8M68zBy+22ERhiQyd0JM9sWQ/6MbkpXSVYuMKlD2Ny5c9GtWzdotVq0a9cORYoUQVBQELZs2YJjx47JF713754sghKGI2FERJ8v9MZB6Je0gIsqDAav/LhWYyF6rPfH/VfBcNCq8VPj/GhR/OOl9YgspmP+woULoVarsX37dhnIevfujcGDB+Po0aPo0KGDDGTr1q1L6NMTEREliCFLObQKH4bnRjeon12G7+aG2NzSE9XyeCFMZ8CANRcxZP2l6A77REpJcAi7dOkSSpcujWrVqn1035AhQ+TpSXEMERFRcrtkzI4m4aNg8MwJBD6E27J6mF3hHfrXyAXRrnLZifv4YuYxPHwTonSpZMPUiRlqi63lRNR+cQwREVFycrbX4u74ejgyrhPUXXYBmcsCYYFQL22OPqnPYEGnkkjlbIcLDwLQ4M8jOHLjhdIlk41KcAgTI10ajSbmJ1VHPq3BYEh4ZURERInl7AG0Ww/kbwYYIoD1X6HS4wXY3Lsc8mdMiVfvwtF+3glMP3Az+gIzouTCtSOJiMi62TkCTecA5fpFbu//Cd5HBmFNtxL4ongmGIzArzuu46vFZxAYGqF0tWRDEnx1pBjtSug6kOJxOh1Xuv8UXh1JRGRiJ2cD2wcCRgPgUw34YiFWXHiN4RuvIFxvQLbULrKNRe50rkpXShYsya+OFER+S8iNpymJiEgRJbsBrZYBds7Arb3A/DpolccOq3uUQcZUTnLdycbTjmLj+YdKV0o2IMEhTASpxNyIiIgUkbsO0HEL4JIGeHIJmFMdhRweY3Of8qiQMzVCIvTou+I8Rm2+ggg9368o6XBOGBER2Z6MxYCuewDZwuIBMLcWPJ4ek1dO9q6SQx4y/+hdtJ51HM8CQ5WulqwUQxgREdkm96yAbGFRBggLAJY0g+bSKnxfKzdmty8OVwctTt97jXp/HsHJO6+UrpasEEMYERHZeAuLDUC+Jv+2sOgOHJqAGnm9sKlPeeRJ54rnQWFoPfs45h65wzYWZFIMYWZILN7t6+uLEiVKKF0KEZFttLBoNg8o+03k9r6fgM3fIJu7PdZ9XRaNC2eA3mDEmC1X0Wf5ObwL49X9pHCLCkp6bFFBRKRgC4sc1YEWC2C0T4FFx+7JEKYzGJHTKwVmtisGnzQplK6WbLlFBRERkdW1sGi5FNA6ATf3APPrQhX0BB3KZsXKr0ojbUoH3Hj2Fo2mHsWOy4+VrpYsHEMYERHR+/LUBTpuBZxTA08uAnNrAM/+QbEsHrKNRalsHngbpkOPJWcxfvs16NjGghKIIYyIiOi/MkW1sMgBBPjLFha4cwhero5Y2rUUulfMLg+befAW2s09iRdvw5SumCwQQxgREVFMPLIBXXYD3qUjW1gsbgpcXAWtRo0hdfNi+pdF4WKvwbHbL9HgzyM4d/+10hWThWEIIyIiiquFRfuNgG/jyBYW67oBhyaKdftQt0B6bOxdDj5pXPA4IBRf/HUMS47fYxsLijeGMCIiok+1sGg+HyjTO3J73xhgSz9Ar0MOL1ds7F0edQukQ4TeiB83XEb/1RcQEq5XumqyAAxhREREn6JWA7XGAnV+Fd2dgDMLgBWtgbC3SOGgxbQ2RTG0bl5o1CqsO/sQTWf8jfsvg5WumswcQxgREVF8lfoKaPVvC4sbu4AFdYGgJ1CpVOhWMTuWdCmF1Cns8c/jQNT/8zD2X3umdMVkxhjCiIiIPkeeekDHLZEtLB5fAOaIFhbX5F1lfDyxpU8FFM2cCoGhOnRacAqTdvvJjvtE/8UQRkRE9LkyFQe67gY8fICA+8C8msDdI/KudG6OWNG9DDqUySK3/9h7A50XnMKb4PDohweH65B10FZ5E5+TbWIIIyIiSgiP7P+2sCgFhIoWFk2Ai6vlXfZaNUY1yo/JLQvB0U6Ng37PUf/PI7j8MEDpqsmMMIQREREllItnZAuLvA0BfTiwritweJJsYSE0KZIJ678uhyyeznjwOgTNZvyNVaf9la6azARDGBERUWLYOQEtFv6/hcXeUcCWb2ULCyFv+pTY1Ls8quf1QpjOgIFrLmLEpivK1kxmgSGMiIjIVC0sav/ybwuL+dEtLAQ3JzvMalcc39fMBZUKWH36gdIVkxlgCDND06ZNg6+vL0qUKKF0KURE9DlK9wBaLga0jv+2sKgHBD2Vd6nVKvSumhMLO5WUoSzKzAO3EBrB5q62SGXk+gpmKzAwEG5ubggICEDKlCmVLoeIiOLL/xSwvCUQ/BJwywy0XQOkyR19941nQagx6VD0dmYPZwyv74tqeb1kzzGyjfdvjoQRERGZmneJyCsnxRWUooXF3BrA3aPRd2dM5RT9uZerA+6/CkbXRadlK4s7L94pVDQlN4YwIiKipODpA3TZA2Qq+W8Li8bApTUfHbb1m/LoWdkHdhoV9l9/jlqTD+HXHdfYP8wGMIQRERElZQuLDpuAvA0iW1is7QIcmRzdwkIe4qDFD7XzYGe/iqiUKw3C9QZMP3AL1X47iM0XHoGzhqwXQxgREVFytLAo/XXk9p6RsNs5ABp8OBk/e5oUWNCpBGa3Lw5vDyc8DghFn+Xn0Hr2cVx/EqRM7ZSkODHfjHFiPhGRlTk2Hdg5BIARyFUbaD4PsHf56DBxteSsQ7cxbf9N2VtMo1ahfZks6Fc91wdXVpJlv38zhJkxhjAiIit0dROwrhugC42cuF9/MpC9coyH+r8Kxtit/2DHlSdyO3UKewysnQfNi2aSLS/IPDGEWQGGMCIiK+V/EljVHgh6HLldsFVks1eX1DEefvjGc4zcdAW3nkdeOVnYOxVGN8qHgplSJWfVFE8MYVaAIYyIyIqFBgL7fgJOzoo8PenkDtQYDRRuG9mB/z/CdQYs/Psupuzxw7twvey836qENwbUygMPF3tFvgSKGUOYFWAIIyKyAQ/OAFv6Ak8uRW5nLht5itIrT4yHPwsMxbjt17D+3EO5LeaI9a+ZC21KZoZWw+vtzAFDmBVgCCMishFise8TM4H9Y4GIYEBtB5TvB1ToH3l1ZQxO3X2FERuv4OrjwOiFwkc1zIeS2TySuXj6L4YwK8AQRkRkY97cB7YNBPy2R26Lifv1JgE+VWI8XG8wYtnJ+5i48zoCQiLkvsaFM2Bw3bxIm9IxOSun9zCEWQGGMCIiGyTelq9tiQxjQY8i9xX4Aqj1M5AiTYwPefUuHBN2XseKU/flw13sNfimWk50KpcN9lqeokxuDGFWgCGMiMjGJ+6L05Mn/oqcuO+YKnLifpF2MU7cFy49CMDwTZdx7v4buZ09jQtGNsiHirliDm+UNBjCrABDGBER4eEZYHM/4MnFyO3MZYD6U2KduG8wGLH27AP8suMaXrwNl/tq5UuLH+v5wtvDOTkrt1mBDGGWjyGMiIiiJ+6f/AvYJybuv4ucuF+uL1Dx+1gn7geGRuD3PTew4O+7cu6Yg1YtFwrvUckHjnaaZP8SbEkgQ5jlYwgjIqIPvPEHtg34/8R992xAfTFxv2qsD/F7GiSvojx2+6XczuTuhGH1fVHTNy1UotkYgOBwHXyH75SfXx1dC8722uT4amDr79+crUdERGQpUnkDrZcDLZcArhmA13eAxU2AtV2Bt89ifEiutK5Y1q0UprYpgvRujnjwOgRfLT6DDvNP4dbzt8n+JdD/MYQRERFZEjF6lbcB0PskUKonoFIDl1YDU4sDZxaISWExPESF+gUzYG//SuhVxQf2GjUO+T1H7SmHMG77P3gXplPkS7F1PB1pxng6koiIPunhWWBLP+Dxhcht79JAAzFxP2+sD7n74h1Gb7mKfdciR8+8XB3wLChMfs7TkYnH05EWbNq0afD19UWJEiWULoWIiMxdxqJA131ArXGAnQvgfxyYWR7YMwqICInxIVlTu2BexxKY26E4sng6Rwcw4eqjyA78lPQ4EmbGOBJGRESfPXF/+0Dg+rbIbfesQL3fgBzVY31IaIQe0w/cxB97b0af7WxeNBMG1MoNL3bdTxCOhBEREdnsxP2l/07cvwssaQas6QIEPY3xIaJdhWhbEUUMzaw+8wBVJh7AtP03ZUijpMEQRkREZG3y1v9w4v7lNcC0EsDp+TFO3H/f8m6lUNg7Fd6F6+VSSNUnHcS2S4/BE2emxxBGRERkjRxcgTrjga57gfSFgNCAyAn882sDT6/G+rBC3qmwrmdZTGlZGOlSRra0+HrpWbScdRyXHwYk65dg7RjCiIiIbGHifu3xgH0KwP8E8FcFYM9IIDw4xoeo1So0LpIR+76vhL7VcsLRTo2Td16hwdQjGLjmAp4FhSb7l2GNODHfjHFiPhERmVTAA2D7D8C1LZHbqbIA9SYBOWOfuC88ehMi16LceP6R3Hax16BX1RzoXC4bl0CKAZctsgIMYURElCT+2RJ5FWXgw8jt/M0iW1y4po3zYWfuvZb9xS74v5Hb3h5OGFInL2rnTxe9BBKBIcwaMIQREVGSCQsC9v8MnJgJGA2AgxtQfThQrBOgjn10y2AwYsP5h3Jk7GlgZH+xUtk85HqU+TO6JeMXYL4YwqwAQxgRESW5R+eAzX3/33FfTOKvOxHwLhnnw8Si3zMP3sZfB28hTGeQ/cVaFvdG/5q5kcbVAbYskCHM8jGEERFRstDrgNNzgX1jgbB/r4As3BaoPhJIkSbOhz4U88W2X8OmC5HzxVI4aNGrSg50Lp8VDlrbnC8WyBBm+RjCiIgoWb19FnnV5PmlkdviFGXVoUDxLoAm7vUkz9x7hVGbr+Lig8gQl9nDGUPq5kGtfLY3XyyQIczyMYQREZEi/E8C277//ynKtPmBuhOALGXjfJiYL7b+XOR8saj1KEtnj5wvli+D7cwXC2QIs3wMYUREpBiDHjizANg7GgiNvBoSBb4Aao4BXNPF+dB3YWK+2C3MOnQ7er5YqxLe+K6GbcwXC2QIs3wMYUREpLh3L4F9o4EzC8XKkoC9K1B5EFDqK0BjF+dDH7wOxvjt17Dl4uPo+WK9q+ZAp3IfzhcTk/x9h++Un18dXQvO9nGf+jR3XMCbiIiIEs/FE2jwO9BtL5CxGBAeBOwaCswoB9w+GOdDM7k7Y2qboljTowwKZHTD2zCdDGU1Jh3CjstPbH49SoYwIiIi+jQRwLrsARr+CTh7Ai+uA4saAqs7AgH/Nn2NRfGsHtjYqxwmtigEL1cH3H8VjB5LzqDN7BO4+igQtoqnI80YT0cSEZFZCnkd2ej11JzIRq92zkDFAUCZXoDW4ZPzxWYcuIVZh28jXGeAWgU0K5YJq08/sLnTkQxhZowhjIiIzNrji8C2AYD/8chtzxxAnV+AHHGvRSn4vwrG+B3XsPXf+WJRroyqCReHuOeamTvOCSMiIqKklb4g0HkH0OQvwMULeHkTWNIMWPEl8PpenA/19nDGtDZFsbpHGeTL8P+g8sPaS3Kivi1gCCMiIqKEE/0nCrUC+pwGSvcCVBrg2hZgWkng4K9ARGicDy+R1QMru5eO3hZXUjad/jfuvngHa8cQRkRERInn6AbU/hnoeRTIWgHQhQL7xwLTSwHXd8T5ULWYGPYvzxT2uPYkCA2mHsGeq09hzRjCiIiIyHS88gIdNgPN5gKu6YHXd4HlLYFlLYFXtz/58LU9yqBYFncEherQddFpTNx5HXqDdU5fZwgjIiIi05+iLNAc6H0aKNcXUNsBfjuAaaUjFwkPD471oV4pHbG8W2l0LJtVbk/dfxMd55/Eq3fhsDYMYURERJQ0HFIANUYDPf8GslcB9GHAoV+BaaWAfzYDsTRosNeqMbJhPvzeqjCc7DQ4fOMFGvx5BBcf/Lt8kpVgiwozxhYVRERkNUTcEMFr5xAgwD9yn09VoM6vQOqcsT7s2pNA9Fh8BndfBsNeo8boRvnQqmRmmDO2qCAiIiLzOkXp2xDodTKysavGHri1D5heBtg9Agh7G+PD8qRLiU19yqOGb1qE6w0YtO4SflhzEaERelg6joSZMY6EERGR1Xp5C9gxCLixK3LbNQNQfxKQu06MhxsMRsw4eAu/7boOMU9frEU5/cuist+YueFIGBEREZkvTx/gy9VA6xVAqixA0CNgeStg/ziRuGJsY9GrSg4s6lwKHi72uPQwQLaxOOj3HJaKIcwMTZs2Db6+vihRooTSpRARESWt3HUiT1GW6hG5fXA8sLItEBrzwt7lc6bG5j7lUSiTG94ER8grJ//Ye0OOlFkano40YzwdSURENuX8MmBzv8irKFPnBlovjxwxi0GYTo9Rm69i2Yn7crtaHi9MalkYbk7KrzvJ05FERERkWQq3ATptj5wf9uI6MKsKcGNPjIc6aDX4uUkB/Nq8oGxpsffaMzScegRXH8U8gmaOGMKIiIjIfGQqBnQ/AHiXAsICgKXNgSOTY+0p9kVxb6zrWRaZ3J1w72Uwms44inVnH8ASMIQRERGReXFNG7n0UdEOosEYsGcksLZLrJ3282d0w5Y+5VEpVxqERhjw3aoLGLbhMsJ1H0/wNycMYURERGR+tA5Awz+AepMAtRa4vBaYVxN4fS/Gw1M522N+xxLoWy2nbEm2+Pg9tJx1DI8DQmCuGMKIiIjIfJXoEjkq5pIGeHIJmF0FuHM4xkNFG4tva+TCvA4lkNJRi3P336D+H0fw960XMEcMYURERGTespSNnCeWvjAQ/BJY1Ag48Ves88Sq5PHClj4VkDd9Srx8F462c07gr4O3YG4NIRjCiIiIyPy5ZQI67wAKtgSMemD7QGBjLyAiNMbDM3s6ywn7zYpmkh32x22/hp5LziIoNALB4TpkHbRV3sTnSmEIIyIiIstg5wQ0+QuoORZQqYHzS4EFdYHARzEe7mSvwcQWBTG2SX7YaVTYceUJGk07ipvPYl6nMrkxhBEREZHlUKmAsr2BtusAx1TAwzPArMrA/ROxHK7Cl6WyYNVXZZDezRG3n79Dy1nHYQ4YwoiIiMjy+FSJnCfm5Qu8fQosqAecWRjr4UUyu8s2FmV9PBESro/eH6FXro0FQxgRERFZJo9sQJfdQN6GgCEC2PwNsLU/oAuP8XDPFA5Y1LkkulbIFr1vws7rUApDGBEREVkuhxTAF4uAqj+Kk4/AqTmRV0++fR7j4VqNGt/VyBW93bnc/wNZcmMIIyIiIsufJ1ZxQOSC3/auwP2/I+eJPTr3yYemc3OEUhjCiIiIyDrkrgN02wd45gACHwDzagMXV8FcMYQRERGR9UiTC+i6F8hZE9CFAuu6ATuHAnrl+oHFRmU0t/axFC0wMBBubm4ICAhAypQplS6HiIjIchj0wP6xwOHfIrezVwGazwOcPczm/ZsjYURERGR91Bqg2nCgxQLAzhm4vT9y3cmnV2EuGMKIiIjIeuVrAnTZBaTKDLy+C8ypDlzdBHPAEEZERETWLV0BoPtBIFtFIOIdsKodsG8sYFCuUavAEEZERETWz9kDaLseKP115PahX4EVbYDQQMVKYggjIiIi26DRArXHAY1nAhoHwG87sHe0YuVoFXtlIiIiIiUUbh3ZymLPKKDaMCiFIYyIiIhsT8ZiQAdlJ+jzdCQRERGRAhjCiIiIiBTAEEZERESkAIYwIiIiIgUwhBEREREpgCGMiIiISAEMYUREREQKYAgjIiIiUgBDGBEREZECGMKIiIiIFMAQRkRERKQAhjAiIiIiBTCEERERESlAq8SLUvwYjUb5MTAwUOlSiIiIKJ6i3rej3sdjwxBmxoKCguRHb29vpUshIiKiBLyPu7m5xXq/yvipmEaKMRgMePToEVxdXaFSqUzynCVKlMCpU6dM8lzm+Lrirw8RWv39/ZEyZcokfz0iU1Pqd5Tihz+fT7P271GJeHx9IlqJAJYhQwao1bHP/OJImBkTP7hMmTKZ9Dk1Go0i4SS5X1e8FkMYWSKlfkcpfvjz+TRr/x5p4vn1xTUCFoUT821Mr169bOp1iSwNf1fMG38+n2bt36NeJvz6eDqSrIo4HSn++ggICLDqv8SIiMjycSSMrIqDgwNGjBghPxIREZkzjoQRERERKYAjYUREREQKYAgjIqJYnT59Gu3bt0eOHDlkq5wff/xR6ZLoX/zZWP73iCGMiIhidfToURw/fhzly5eP1yX3lHz4s7H87xFDGJEF/vVElFz69OkDPz8/LFiwAKlSpVK6HHoPfzaW/z1iCCOywL+eiJJLXN2+SVn82Vj+98i8qyNSiLn/9UQJExwcjA0bNqBLly7InTs3HB0d4eLigkKFCmH06NF4+/atYrWdOXMG48ePR9OmTeVKGWIENr7LlYWEhGD48OHIlSuX/JrEUimdO3fGw4cPYUkmTZokv/6cOXPKP35Eq5ksWbLIUelLly4pVpc5/2xevnwJLy8v3Lt3D9OnT4dSzPl7ZNZEiwoiil2WLFmMQ4cOVboMMoHZs2eLljzyljdvXmOLFi2MtWrVMrq6usp9efLkMT59+lSR2ho1ahRd2/u3TwkJCTGWLl1aHps+fXrjF198YSxZsqTcTpMmjfHWrVsW87vg6elpdHR0lPU3adJE3nLlyiW/Fjs7O+PmzZuNSjDnn02HDh2MKpVKPqe7u7tRKeb8PTLnf8u5diQpSvz1tHv3bpw8eVLeov7y+VT7OvGX07hx47BixQrcv38fHh4eqF27NsaMGYOMGTMmU/Vkaezs7NC9e3f069cPefPmjd7/+PFj1KtXD+fOnZP3LVu2LNlrK1OmDAoWLCgXBxa3rFmzIiws7JOP++mnn+Spc/H4Xbt2IUWKFNGjSv3795cjCgcOHIg+/s2bN3jy5Emcz+ns7IzMmTMjuW3cuBHFihWToyHvEyM8YqmYrl274sGDB9Bqk/ety1x/Nnv37sXChQvl/9OzZs2Cksz1e2T2lE6BZNsS8tdTcv7lZK5/PZHp/f333/L/IQcHB2NYWNgnjz9y5Ihx9erVcR4TGBhoHDlypFGn0312PaKOT/0uiDrd3NzkcWfPnv3o/oIFC8r7Tp8+Hb1vxowZMf7OvX+rVKmS2f0u+Pj4yNouXLjwyWNt4WcTHBwsvye+vr5GPz+/zx4Js4XvkSX8W84QRooaP368cdiwYcZNmzYZHz9+HK9fXPFLJI4pU6aMMSgoKHr/b7/9FuMv4OvXr43//PNPnLd79+7F+nrm+ItLpvfu3bvof8QfPXoU57Hh4eHGzJkzG7VarXH9+vUxHvP27Vtj+fLl5fPNmjXrs+uJz+/Cvn375DHizTgmo0ePlvePGDHCaApK/i6IU8XiaxG/r3GxlZ/NDz/8IE9DHjp0yHjnzp3PCmG28j2yhH/LGcLIrHzqFze5/3Iy119cMr1Lly5Fzz0KDQ2N18hZihQpjPb29sYtW7Z8cJ8YpahcubJ8vpYtWybZSMLkyZPlMWJuW0xEXeJ+MbfKFJT6XVi0aJEMHDlz5ozX99LafzZiNFAEqM6dO8vtzw1htvA9spR/y3l1JFlc64iAgAD4+PigSJEiH93fvHlz+XHz5s3R+3r06CHnmMV1e3/OAdmm33//XX4UcwvjswC8mMOydetWOT+pWbNm2Llzp9wv5sE0atRI/j/VpEkTLFmyBBqNJklqFvMhBXE1Wkyi9osr5xLq+fPnWLNmjbyJq0uvXbsmP9++fTuSyoQJE9CxY0e0aNEC+fPnl1dHpk+fHsuXL4/X99KafzYGg0HOjRNXbQ8cOFD+LLZt2ybvCw8Pj/fPxpq/R0r///tZlE6BRJ/z11Ny/+Vkrn89kWlt3bpVjrSIUbDz589/1mP37Nkjr+gTN/E8devWlf8P1qtXT572Saj4jCR069ZNHhPb/583btyQ94sRpITav39/jKPH4vciqVSrVu2j1zp48OBnP481/mymTJkiHzd//nyT/Gys8Xuk9P+/n4MjYWRRkuMvJ4v464lMRvxs27ZtK0dExQiM6Bn2OapVq4Z169bJEQpxhaUYlahZsybWrl0rr8a0dJUrV45x9Pju3btJ9pp79uyRr/H69WscOnRI9g2rVKkSxo4da9M/G/Hvn1i9Q3wvxEhh1M/mzp078n5xhuBzfzbW9j0yh/9/PwdDGFmUqGaa4hLkmIjGm0JQUFCiXufKlSvyVIi4iUAm/kESn/fs2TNRz0vmRbREEacfxZv9d999h759+yboecSblji9E2XAgAHxOqWZWFGX84s/FGLy7t07+dHV1RWWSJxyq1ChggwGonXFsGHDcOrUKZv92Yg2HeKU48yZM2FK1vQ9sjQMYUQW+NcTJd6rV6/km48YNe3UqRMmTpyYoOcRIwhiztLBgwdln6SoOTafGxYSIqoXkuidFZOo/aLrvCUTIzItW7aUv4Pvz/e0tZ/Nli1b5B+gYp6r+Dcq6taqVavoPyqi9n2ql5a1fo8sDUMYWRT+5USmGlGtU6cOrl69KpdZmT17dryXWHmfCAViCSTR3LVcuXLywpGlS5fK/w9r1aolm78mpahTp2fPno3x/qj94s3V0qVOnVp+FCPTtvyzEc1KRWB6/3bixAl5X2hoaPQ+8bmtfo8sitKT0ojMfWI+WRfRfqJq1ary/xOxZFF8GrPGxGAwGLt37y6fRzQLDggIiL5v8eLFRrVaLZfhuXjxYoKe/3ObXZ47dy5eLVsslVieR3wtEyZM+OSxtvaziWpREVu/rZjY2vfIXDGEkVn51C9ucjf3I+si+h2JgC7+H6lQoYJs0JpQvXv3ls9TtGhR2RD4v+bOnSuvuPTy8jJevXo1Sd7E3m9eXLZsWdlg81PNi82V6OC+fft2o16v/2C/uELvjz/+kKHAycnJeP/+/U8+l639bBISwmzte2SuGMLIYpu12upfTpRwUZf3R42WitGVmG7Pnz+P83kiIiKMtWvXNhYqVMj48uXLWI8TjYJFcNi7d+8naxOjuKVKlYq+RS3K/P6+/zbVjFrGS9z3/jJeUdtJsYxXUhEtF0TNqVOnliOUbdq0MdasWVN+TWK/aKGwcuXKTz6PLf5sPjeE2eL3yFwxhJFZ+Zxli2z1LydKODFC+qnVE8RNvKl9iugq/uLFi08eF5+Rm/dDSFw3cUxstYjlv8SbsOiAni5dOmPHjh2N/v7+Rktx+/Zt45AhQ4zlypWTb8aiZ5uLi4sxX758xj59+sieUfFlaz+bhIyE2dr3yFypxH+UnpdGtkt0bB4zZkz09smTJ+Vk0VKlSkXvE5eli/41UcSEU3H1j5iMKrpoi0vYxRVuYjtNmjQ4fvw4smfPnuxfCxER0efQftbRRCYmrnSKurLnfe/v++/VUI6Ojti/fz/GjRsnr+rZsGEDPDw8ZPNCEehia+RKRERkTjgSRkRERKQA9gkjIiIiUgBDGBEREZECGMKIiIiIFMAQRkRERKQAhjAiIiIiBTCEERERESmAIYyIiIhIAQxhRERERApgCCMiIiJSAEMYERERkQIYwoiIiIgUwBBGRGSDTp8+jfbt2yNHjhxQqVT48ccflS6JyOYwhBER2aCjR4/i+PHjKF++PNzc3JQuh8gmaZUugIiIkl+fPn3Qt29f+XnWrFmVLofIJnEkjIjIBqnV/OefSGn8LSQii3b37l05p6ly5cqf/dgDBw7Ix75/e/HixQfHvH/fsWPHYn2uVatWRR9nbSNLqVKl+uD7sGDBAqVLIrIKPB1JRDbPx8dHzo0SHB0dYz1u6dKlKFOmTIz3LVmyBNaqTZs2CA4Oxvnz53HhwgWlyyGyGgxhRGTzRACLa3RHo9HA19cXK1euxJQpU6DVfvhP58uXL7Fjxw4ULVoUZ8+ehRLevHmDJ0+exHmMs7MzMmfO/NnPPX36dPlx5MiRDGFEJsTTkURE8fDll1/KU5U7d+786D4RziIiItC2bVsoZcWKFcibN2+cN9GSgojMB0MYEVktMedLtF9wdXXFvn37En1KTsyHium0o9iXIkUKNGrU6JPz1gIDA+VVid7e3vLUpwhHkydPhsFgiPGx/v7++Oabb5ArVy44OTnBw8MDxYsXx6hRo+RzRenRoweMRmOcN/H9ICLzwRBGRFZp48aNqFOnDuzt7WUAq1q1aqKeT4SmihUrYtOmTXj79m30/tu3b8sJ+02aNJGn++ISFhYm61i0aBFKliyJGjVq4N69e/juu+/QuXPnj44/fPgwChYsiD///FOOtDVo0ADlypVDQECAPDUoXpuILBfnhBGR1RHzu7p27YoMGTJg165dyJMnj0meV5xuPHjwINatWxd9ak9M1o+671NEc1QRqm7cuIHUqVPLfbdu3ZLhbuHChWjcuLG8Ca9evUKzZs3kXK8JEybIoPZ+WwkR/MTXl1DPnz+XX4sgJt1fu3YNa9asgYuLiwyvRJT0OBJGRFZl0qRJclRJLMdz5MgRkwUwoXnz5nBwcIgOXoL4PH369KhWrVq8nmPixInRASzqysxhw4bJz6dOnRq9f86cOTIo1a5dG99///1Hfb3EVZpeXl4J/lquXLmCFi1ayJt4nbVr18rPe/bsmeDnJKLPwxBGRFZj6NCh6N+/P4oUKSJP5SXkSsBP9cuqV68e9u7dK69EPHXqFK5fv45WrVrJKyg/RcznEqcg/6t169by499//x09N2zPnj3y41dffYWkIOanxTRvTMxfI6LkwdORRGQ1ayGK02vp0qXD/v37kTJlyiR5HXHaUZyOFFcj3rlzJ3pffGTJkiXG/eLiARHwxKnH169fw9PTU07IjxopIyLrxJEwIrIKoo+XmG8lRqhGjBiRZK9Tt25dGZjE5HrRmkJc3Sj6gxERfS6GMCKyCu7u7vIUXv78+WVDVXFaMimIOWFi7tS5c+fw9OnTz+oNdv/+/Rj3i1YTYhRMtKAQAS/qasyoiftEZJ0YwojIaqRJk0bO18qXL5+coD9w4MAkeZ127drJU4Zigr1o4hpforO+qO+/xKnNqMn2UXPLqlevLj/OmjXLZHUTkXlhCCMiqyKuGBRBR5wmFK0dBg8ebPLXqFChguyeL64qjG2eV2zElY4ijEUR88pGjx4tP+/Vq1f0ftFiQ4S87du3y5E9MWn+v+0unj17luivhYiUwxBGRFYnbdq0skFr7ty5MX78ePz4448wB6VLl5atJkT7DNEDrGHDhvL06cOHD+VpzaZNm35wJeXq1atlt/9vv/1WTtBv2bKlfEzOnDnlqNmjR48U/XqIKHEYwojIKkVdJSmW+xk7dmySTtb/nPlkIhyKJZDESJZYh1LM/RK9w2JaQFy0kRALZkctSbRhwwZ5Fai4mlKMnvHKSSLLxhYVRGTRsmbN+tGpuiiiiaro45UYsT13bMHvU8eLADVt2jR5i49s2bJhxowZ8a6BiCwHQxgR2TzRWb9jx47RXevFYtz0f19//bVc2uj8+fNKl0JkVRjCiMjmiTYQUa0gxKlBhrAPLVu2TC4aTkSmxRBGRDYraukeipvoYUZEpqcy8l8gIiIiomTHqyOJiIiIFMAQRkRERKQAhjAiIiIiBTCEERERESmAIYyIiIhIAQxhRERERApgCCMiIiJSAEMYERERkQIYwoiIiIgUwBBGREREpACGMCIiIiIFMIQRERERKYAhjIiIiAjJ73+5O+4eW7uhaQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 1\n", "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,power_arr.mean(0)[i+3],yerr=power_arr.std(0)[i+3])\n", "\n", "plt.plot(keff,power_arr.mean(0)[i])\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_{HI}(k)\\,[K^2Mpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "code", "execution_count": 60, "id": "49d2ea46-5e7a-48a2-b4fd-db006ab4aae6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 2\n", "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,power_arr.mean(0)[i+3],yerr=power_arr.std(0)[i+3])\n", "\n", "plt.plot(keff,power_arr.mean(0)[i])\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_{cross}(k)\\,[KMpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "markdown", "id": "add8f49c-0b3d-4ab5-9c97-460b26b929d7", "metadata": {}, "source": [ "You can also visualise the correlation matrices of the signals (illustration only, covariance needs much more than just 10 realizations to converge)" ] }, { "cell_type": "code", "execution_count": 61, "id": "01353178-4e3b-46b2-a658-7daf41fed7c1", "metadata": {}, "outputs": [], "source": [ "power_cov = power_arr-power_arr.mean(0)[None]\n", "power_cov = (power_cov[:,:,:,None]*power_cov[:,:,None,:]).mean(0)" ] }, { "cell_type": "code", "execution_count": 62, "id": "9858e796-1d3c-40f8-b39a-b3c85e111cc0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,axes= plt.subplots(1,3)\n", "titlearr = ['galaxy','HI','cross']\n", "for i in range(3):\n", " cov_arr = power_cov[i+3]\n", " cov_diag = np.sqrt((np.diagonal(cov_arr)))\n", " cov_arr /= cov_diag[:,None] * cov_diag[None,:]\n", " axes[i].imshow(cov_arr,vmin=0,vmax=1,cmap='bwr')\n", " axes[i].set_title(titlearr[i])" ] }, { "cell_type": "markdown", "id": "5eb5aed6-f29c-497c-8ff1-bc05c1757a36", "metadata": {}, "source": [ "Note that, the pixel resolution in the default setting is:" ] }, { "cell_type": "code", "execution_count": 63, "id": "635389a8-027a-4eba-9f4f-194fec8a88bf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(8.832036679403524), np.float64(0.3))" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mock.pix_resol_in_mpc, mock.pix_resol # in Mpc and in deg" ] }, { "cell_type": "markdown", "id": "35c282f2-8b12-4849-9aa6-62a27be1b18f", "metadata": {}, "source": [ "Which corresponds to the scale of:" ] }, { "cell_type": "code", "execution_count": 64, "id": "410ce8fb-4e8d-4fa6-bbb7-e42d49a0fdc8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(0.3557042127005707)" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.pi/mock.pix_resol_in_mpc" ] }, { "cell_type": "markdown", "id": "8e45cced-d236-42ff-a4ee-0ec9bc5dade8", "metadata": {}, "source": [ "Scales close to the map resolution will inevitably be harder to measure. Note that in reality, MeerKAT has a ~1 deg beam. We can add in the beam effects quite easily (see separate tutorials on beam (TODO) for more details):" ] }, { "cell_type": "code", "execution_count": 65, "id": "b3dacf89-d6ef-457c-b74a-74e359126e30", "metadata": {}, "outputs": [], "source": [ "from meer21cm.telescope import dish_beam_sigma" ] }, { "cell_type": "code", "execution_count": 66, "id": "249ca2a2-d8c3-4ab0-82d5-17de4cd357c3", "metadata": {}, "outputs": [], "source": [ "D_dish = 13.5 #in m\n", "mock.sigma_beam_ch = dish_beam_sigma(D_dish,mock.nu)" ] }, { "cell_type": "markdown", "id": "115944ef-f997-4bd2-8be7-1dc4d6297bb6", "metadata": {}, "source": [ "The default beam is a simple Gaussian:" ] }, { "cell_type": "code", "execution_count": 67, "id": "f52976c5-adc2-4529-8446-7e3747920a04", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.beam_image,mock.wproj)" ] }, { "cell_type": "markdown", "id": "7333fad9-ab1b-44b3-9215-a05e9cd43c5d", "metadata": {}, "source": [ "You can convolve this beam with the mock signal map:" ] }, { "cell_type": "code", "execution_count": 68, "id": "3532a972-6bfc-4764-a2ef-0d1b5797300e", "metadata": {}, "outputs": [], "source": [ "mock.convolve_data(mock.beam_image)" ] }, { "cell_type": "code", "execution_count": 69, "id": "b21fc79d-db24-42a7-8ff6-ba034e2bc46f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(mock.data,mock.wproj,W=mock.W_HI)\n" ] }, { "cell_type": "markdown", "id": "c7d4848a-a1ca-423a-9891-4bb9638254a9", "metadata": {}, "source": [ "Then redo the gridding and power spectrum estimation. The model power spectrum will also be automatically updated to include the beam attenuation effects. Let's redo the realizations to see the differences:" ] }, { "cell_type": "code", "execution_count": 70, "id": "a13636dd-da53-4004-abaf-110e7f810122", "metadata": {}, "outputs": [], "source": [ "def run_one_realization_beam(seed=None):\n", " mock = MockSimulation(\n", " survey=\"meerklass_2021\",band=\"L\",\n", " ra_range=ra_range,dec_range=dec_range,mean_amp_1='average_hi_temp',\n", " tracer_bias_2=1.0,tracer_bias_1=1.0,\n", " downres_factor_radial=0.5,downres_factor_transverse=0.5,\n", " k1dbins = k1dedges,num_discrete_source=100000,compensate=True,\n", " seed=seed,kmax=5.0,grid_scheme='cic',\n", " )\n", " mock.sigma_beam_ch = dish_beam_sigma(D_dish,mock.nu)\n", " mock.data = mock.propagate_mock_field_to_data(mock.mock_tracer_field_1)\n", " mock.propagate_mock_tracer_to_gal_cat()\n", " mock.downres_factor_radial=4.0\n", " mock.downres_factor_transverse=1.2\n", " himap_rg,_,_ = mock.grid_data_to_field()\n", " galcount_rg,_,_ = mock.grid_gal_to_field()\n", " mock.sampling_resol = np.array([\n", " mock.pix_resol_in_mpc,\n", " mock.pix_resol_in_mpc,\n", " mock.los_resol_in_mpc,\n", " ])\n", " mock.compensate = True\n", " mock.include_sky_sampling = [True, False]\n", " mock.field_1 = himap_rg\n", " mock.field_2 = galcount_rg\n", " mock.weights_grid_1 = (mock.counts_in_box).astype('float')\n", " mock.weights_grid_2 = None\n", " mock.weights_field_1 = None\n", " mock.weights_field_2 = ((mock.counts_in_box) > 0.0).astype('float')\n", " shot_noise_g = get_shot_noise_galaxy(galcount_rg,mock.box_len, mock.weights_field_2)\n", " shot_noise_3d = shot_noise_correction_from_gridding(\n", " mock.box_ndim,\n", " mock.grid_scheme,\n", " ) * shot_noise_g\n", " # get model\n", " pmod_1d_gg,_,_ = mock.get_1d_power(\n", " 'auto_power_tracer_2_model'\n", " )\n", " pmod_1d_hi,_,_ = mock.get_1d_power(\n", " 'auto_power_tracer_1_model'\n", " )\n", " pmod_1d_cross,_,_ = mock.get_1d_power(\n", " 'cross_power_tracer_model'\n", " )\n", " # get data\n", " pdata_1d_gg,keff,nmodes = mock.get_1d_power(\n", " 'auto_power_3d_2',\n", " )\n", " pdata_1d_hi,keff_hi,nmodes_hi = mock.get_1d_power(\n", " 'auto_power_3d_1',\n", " )\n", " pdata_1d_c,keff_c,nmodes_c = mock.get_1d_power(\n", " 'cross_power_3d',\n", " )\n", " psn_1d,_,_ = mock.get_1d_power(shot_noise_3d)\n", " return [[pmod_1d_gg,pmod_1d_hi,pmod_1d_cross,pdata_1d_gg-psn_1d,pdata_1d_hi,pdata_1d_c],]" ] }, { "cell_type": "code", "execution_count": 71, "id": "8617ba8b-f330-47a4-b2e3-206b4c4f8639", "metadata": {}, "outputs": [], "source": [ "%%capture\n", "power_arr_beam = []\n", "s_t = time.time()\n", "for i in range(10,20):\n", " power_arr_beam += run_one_realization_beam(i)\n", "t_used = time.time()-s_t" ] }, { "cell_type": "code", "execution_count": 72, "id": "d47026c9-aaa1-4cbe-ae46-432c277d594b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time used in seconds: 95.62058305740356\n" ] } ], "source": [ "print('Time used in seconds: ',time.time()-s_t)" ] }, { "cell_type": "code", "execution_count": 73, "id": "502da0fc-e770-4db5-bd2d-bb84005f28f5", "metadata": {}, "outputs": [], "source": [ "power_arr_beam = np.array(power_arr_beam)" ] }, { "cell_type": "markdown", "id": "cd9ec80f-0cae-41f8-98f5-3cf8360c4d2e", "metadata": {}, "source": [ "Galaxy is not affected by beam:" ] }, { "cell_type": "code", "execution_count": 74, "id": "5bf1cdf9-16f2-4d73-ba4a-53a068955786", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '$\\\\rm k\\\\,[Mpc^{-1}]$')" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 0\n", "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,power_arr_beam.mean(0)[i+3],yerr=power_arr_beam.std(0)[i+3])\n", "\n", "plt.plot(keff,power_arr_beam.mean(0)[i])\n", "plt.plot(keff,power_arr.mean(0)[i],color='black',ls='--',alpha=0.5)\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_g(k)\\,[Mpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')" ] }, { "cell_type": "markdown", "id": "06837079-a402-4872-b244-735223f8e198", "metadata": {}, "source": [ "HI is:" ] }, { "cell_type": "code", "execution_count": 75, "id": "35c31efb-8a90-436b-a8b5-913d8093c16a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 1\n", "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,power_arr_beam.mean(0)[i+3],yerr=power_arr_beam.std(0)[i+3],label='With Beam')\n", "plt.errorbar(keff,power_arr.mean(0)[i+3],yerr=power_arr.std(0)[i+3],label='Without Beam',\n", " color='black',ls='--',alpha=0.5)\n", "\n", "plt.plot(keff,power_arr_beam.mean(0)[i])\n", "plt.plot(keff,power_arr.mean(0)[i],color='black',ls='--',alpha=0.5)\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_{HI}(k)\\,[K^2Mpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 76, "id": "f5473e3c-7264-4976-a22a-3459272fa92c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "i = 2\n", "plt.rcParams.update({'font.size':15})\n", "plt.errorbar(keff,power_arr_beam.mean(0)[i+3],yerr=power_arr_beam.std(0)[i+3],label='With Beam')\n", "plt.errorbar(keff,power_arr.mean(0)[i+3],yerr=power_arr.std(0)[i+3],label='Without Beam',\n", " color='black',ls='--',alpha=0.5)\n", "\n", "plt.plot(keff,power_arr_beam.mean(0)[i])\n", "plt.plot(keff,power_arr.mean(0)[i],color='black',ls='--',alpha=0.5)\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.ylabel(r'$\\rm P_{cross}(k)\\,[KMpc^3]$')\n", "plt.xlabel(r'$\\rm k\\,[Mpc^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "a1d1c8e8", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "meer21cm", "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": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 5 }