{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook is part of the SelfiSys project and is licensed under the GNU General Public License v3.0 or later (GPL-3.0-or-later). See the accompanying LICENSE file or visit [GNU GPL](https://www.gnu.org/licenses/gpl-3.0.en.html) for details.\n",
"\n",
"Tristan Hoellinger
\n",
"Institut d'Astrophysique de Paris\n",
"tristan.hoellinger@iap.fr\n",
"\n",
"# Compute the radial selection functions\n",
"\n",
"Define custom log-normal radial selection functions."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set up the environment and parameters"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from selfisys.global_parameters import *\n",
"\n",
"wd = Path(OUTPUT_PATH) / \"expl_notebooks/selection/\""
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"from pathlib import Path\n",
"\n",
"from scipy.integrate import simpson\n",
"from scipy.interpolate import UnivariateSpline\n",
"from astropy.cosmology import Planck18 as cosmo\n",
"from classy import Class\n",
"\n",
"from selfisys.utils.tools import cosmo_vector_to_class_dict\n",
"from selfisys.utils.plot_examples import *\n",
"from selfisys.utils.plot_utils import *\n",
"from selfisys.selection_functions import LognormalSelection\n",
"\n",
"Path(wd).mkdir(parents=True, exist_ok=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"L = 3.6\n",
"Lcorner = L * np.sqrt(3)\n",
"\n",
"LogNorm = LognormalSelection()\n",
"one_lognormal = LogNorm.one_lognormal\n",
"\n",
"def multiple_lognormal(x, ss, ll, rr):\n",
" return LogNorm.multiple_lognormal(x, None, ss, ll, rr)\n",
"\n",
"xx = np.linspace(1e-5, Lcorner, 1000)\n",
"zz = np.linspace(0, 3.1, 1200) # Redshift range"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Central parameters for the three populations"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"means_com = np.array([0.6410, 1.9210, 2.9185]) # Arbitrary values for our mock populations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Redshift vs comoving distance"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_comoving_distance_redshift(zz, cosmo, means_com, L, Lcorner, wd)\n",
"spline = redshift_distance_conversion(zz, cosmo, means_com, L, Lcorner, xx, wd)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear bias model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### For tiny $z$ (local, very late Universe)\n",
"\n",
"We rely on [\\[howlett2015clustering\\]](https://doi.org/10.48550/arXiv.1409.3238):\n",
"\n",
"> We measure Redshift-Space Distortions (RSD) in the two-point correlation function of a\n",
"sample of 63,163 spectroscopically identified galaxies with z < 0.2, an epoch where there\n",
"are currently only limited measurements, from the Sloan Digital Sky Survey (SDSS) Data\n",
"Release 7 Main Galaxy Sample. Our sample, which we denote MGS, covers 6,813 deg2 with\n",
"an effective redshift zeff = 0.15 and is described in our companion paper (Paper I), which\n",
"concentrates on BAO measurements.\n",
"\n",
"Fitting their data with a $\\chi^2$ distribution, they measure \n",
"$$\n",
"f\\sigma_8(z=0.15)=0.43^{+0.15}_{-0.14}\n",
"$$\n",
"and\n",
"$$\n",
"b\\sigma_8(z=0.15)=1.20\\pm 0.15\n",
"$$\n",
"\n",
"Further assuming $f=\\Omega_m^{0.55}$, we obtain:\n",
"$$\n",
"\\sigma_8(z=0.15)=0.43^{+0.15}_{-0.14}\\times\\Omega_m^{-0.55}=0.43^{+0.15}_{-0.14}\\times 0.31^{-0.55}\n",
"$$\n",
"$$\n",
"\\sigma_8(z=0.15)\\simeq 0.82 \\implies b(z=0.15)\\simeq 1.47\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### For LRG bins\n",
"\n",
"We rely on [\\[gil2015power\\]](https://doi.org/10.48550/arXiv.1407.5668):\n",
"\n",
"> We analyse the anisotropic clustering of the Baryon Oscillation Spectroscopic Survey (BOSS) CMASS Data Release 11 sample, which consists of 690,827 galaxies in the redshift range 0.43 < z < 0.70 and has a sky coverage of 8498 deg2 corresponding to an effective volume of ∼ 6 Gpc3. We fit the Fourier space statistics, the power spectrum and bispectrum monopoles to measure the linear and quadratic bias parameters, b1 and b2, for a non-linear non-local bias model, the growth of structure parameter f and the amplitude of dark matter density fluctuations parametrised by σ8.\n",
"\n",
"They measure $b_{z_{\\textrm{eff}}}^{1.40}\\sigma_8(z_{\\textrm{eff}})=1.672\\pm 0.060$ and $\\sigma_8(z_{\\textrm{eff}})=0.597$, $z_{\\textrm{eff}}=0.57$, so we get $b_{z_{\\textrm{eff}}}^{1.40}=2.80\\pm 0.10$."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.0864048990680044"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"2.80**(1/1.40)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Assuming $b(z)D(z)$ to be constant in the redshift range of interest, we obtain $b(z) \\simeq \\dfrac{b_{z_{eff}}\\times D(z_{\\text{eff}})}{D(z)} \\simeq \\dfrac{2.086\\times D(z_{\\text{eff}})}{D(z)}$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Compute the linear growth factor with CLASS\n",
"cosmo_dict = cosmo_vector_to_class_dict(planck_mean)\n",
"Cosmology = Class()\n",
"Cosmology.set(cosmo_dict)\n",
"Cosmology.compute()\n",
"Dz = Cosmology.get_background()[\"gr.fac. D\"]\n",
"redshifts = Cosmology.get_background()[\"z\"]\n",
"Cosmology.struct_cleanup()\n",
"Cosmology.empty()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.loglog(redshifts, Dz)\n",
"plt.xlabel(r\"$z$\")\n",
"plt.ylabel(\"normalised growth factor\")\n",
"plt.grid(which=\"both\", axis=\"both\", linestyle=\"-\", linewidth=0.3, color=\"gray\", alpha=0.5)\n",
"plt.title(r\"Growth factor using \\textsc{CLASS}\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.15 0.4925 0.8182]\n"
]
}
],
"source": [
"z_means = np.round(spline(means_com), 4)\n",
"print(z_means)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"growth_factor_z_eff = 0.7433515577264593\n",
"b_zeff = 2.07\n",
"numerator b(z): 1.5387377244937708\n",
"b(0.4925)=1.99\n",
"b(0.8182)=2.32\n"
]
}
],
"source": [
"np.random.seed(1100)\n",
"z_eff = 0.57\n",
"z_eff_index = np.argmin(np.abs(redshifts - z_eff))\n",
"growth_factor_z_eff = Dz[z_eff_index]\n",
"print(\"growth_factor_z_eff =\", growth_factor_z_eff)\n",
"b_zeff = np.round(2.80 ** (1 / 1.40) + 0.02 * np.random.uniform(-1, 1), 2)\n",
"print(\"b_zeff =\", b_zeff)\n",
"print(\"numerator b(z): {}\".format(b_zeff * growth_factor_z_eff))\n",
"for z_mean in z_means[1:]:\n",
" bias = b_zeff * growth_factor_z_eff / Dz[np.argmin(np.abs(redshifts - z_mean))]\n",
" bias += 0.02 * np.random.uniform(-1, 1)\n",
" print(\n",
" \"b({})={:.2f}\".format(\n",
" z_mean,\n",
" bias,\n",
" )\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"b(z) \\simeq \\frac{2.086\\times D(z_{\\text{eff}})}{D(z)} \\simeq \\frac{1.54}{D(z)}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Toy model: lognormal distributions with respect to comoving distance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Utilities"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def integrate(x, res, res_mis=None):\n",
" \"\"\"\n",
" Compute the numerical integral of given data arrays using Simpson's\n",
" rule.\n",
"\n",
" Parameters\n",
" ----------\n",
" x : array-like\n",
" The x-axis values for integration.\n",
" res : list of array-like\n",
" A list of y-axis values to integrate over the x-axis.\n",
" res_mis : list of array-like, optional\n",
" A list of y-axis values to integrate over the x-axis, for the\n",
" misspecified model. Default is None.\n",
"\n",
" Returns\n",
" -------\n",
" tuple\n",
" - intes: list of float\n",
" The integrated values for res.\n",
" - intes_mis: list of float or None\n",
" The integrated values for res_mis if provided,\n",
" None otherwise.\n",
" \"\"\"\n",
"\n",
" intes = []\n",
" for i, y in enumerate(res):\n",
" integral = simpson(y, x=x)\n",
" intes.append(integral)\n",
" print(f\"Integral of R_{i+1}(r): {integral:.4f}\")\n",
" total_res = np.sum(intes)\n",
" print(f\"Total: {total_res:.4f}\")\n",
"\n",
" if res_mis is not None:\n",
" intes_mis = []\n",
" for i, y_mis in enumerate(res_mis):\n",
" integral_mis = simpson(y_mis, x=x)\n",
" intes_mis.append(integral_mis)\n",
" print(f\"Integral of R_{i+1}(r): {integral_mis:.4f}\")\n",
" total_mis = np.sum(intes_mis)\n",
" print(f\"Total: {total_mis:.4f}\")\n",
" else:\n",
" intes_mis = None\n",
"\n",
" return intes, intes_mis"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Means (comoving distance) of the 3 populations = [0.641 1.921 2.9185]\n",
"Means (redshift) of the 3 populations = [0.15 0.4925 0.8182]\n"
]
}
],
"source": [
"print(\"Means (comoving distance) of the 3 populations = \", means_com)\n",
"print(\"Means (redshift) of the 3 populations = \", z_means)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Standard deviations for the three populations"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Standard deviations for the 3 populations: [0.115 0.14925 0.18182]\n"
]
}
],
"source": [
"cste = 0.1\n",
"std1 = cste * (1+z_means[0])\n",
"std2 = cste * (1+z_means[1])\n",
"std3 = cste * (1+z_means[2])\n",
"stds = np.array([std1, std2, std3])\n",
"print(\"Standard deviations for the 3 populations:\", stds)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Corresponding lognormal distribution parameters"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Modes (z) of the 3 populations: [0.142202 0.486072 0.811843]\n"
]
}
],
"source": [
"mus = np.log(means_com**2 / np.sqrt(means_com**2 + stds**2))\n",
"sig2s = np.log(1 + stds**2 / means_com**2)\n",
"modes = np.exp(mus - sig2s)\n",
"d_np = (cosmo.comoving_distance(zz) / 1e3).value\n",
"z_modes = np.array([zz[np.argmin(np.abs(d_np - mode))] for mode in modes])\n",
"print(\"Modes (z) of the 3 populations:\", np.round(z_modes, 6))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.11422018 0.14860717 0.18118432]\n"
]
}
],
"source": [
"print(cste * (1 + z_modes))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lognormal distributions"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"params: [array([0.115 , 0.14925, 0.18182]), array([0.641 , 1.921 , 2.9185]), [1, 1, 1]]\n",
"[20:43:31|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(selfisys.utils.plot_utils)\u001b[00m Plotting selection functions...\n"
]
},
{
"data": {
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4/O9NHo9HkvTo0SM5nTyPAWg+hUJBDx8+tO18//bf/tuK+37hF37B1lnQ2jY3d5b7tMP969q1a/pLf+kvlQ1z5vP5trgN0Ji6urr0d/7O39Fv/MZv7Nj3t//23676ffN73/te2e0nTpxomsfB5uam8vnHvwdfXV2VJKVSqXqOhH0gh9Q6MhnrogrUX9sEmi9evCiHw6FoNKpYLKZUKlVqaN4a+nrvvff0qU99qn6DtgHDMDQxMbFtWzgcVjAYrNNEANA8Ns2vaiynS00TZm5UnW7r229jrUCgGQDaVKFQ0NrSoukad5/Xpmlah9tn3gCaXczs+PkdAOoiX5DrQeU3ZkrS2pEOqUWer9aOdKggyeyr6b6bJ9AMAADQBr75zW+W3f43/sbfqOp53nrrLX3jG9/Q9evXdf36dV27dk0+n0/9/f06ceKEPvWpT+nll1+u+u/0r127psXFRV27dk2ZTEbXrl2TYRi6fv26MpmMrl+/rj//5/+8/tk/+2emx/jt3/5tvffee3r33XdLwdSTJ0/qxIkTOnHihD7zmc/o05/+dFVn3zpn8etIp9OluYtf18rKyp6Ob3XbLC4+/reyP/zDP6zml2Wbb37zm/r617+ud999V9evX5dhGNvucy+99JI+/elP1zRH8tu//dv6u3/371Zspq0lwzBK95Xi9/XJ+08mk9GNGzdqPku9Hv+VHkNbH/+nT5/Wv/pX/8r0GF//+tf11ltvlT7PMAydPHlSXq+3dF/6zGc+05RNw//T//Q/aWBgQL/927+ta9eu6VOf+pR++Zd/Wb/4i79Y9XOl0+my20+cOFH1cwEAGk/bBJqL73Q5d+6c+vv79corr0gi9FUPExMT2/4iHggE2rqdWZKeffZZvfjii/Ueo6Vwe6JVpTLv633NVdzvOdjdVPf/pQer+s70H5Td98lPflJ9hzw2TyQtza/qu/+y/ExFp07+mJ455bNnIABAQ1ldXtJ/2jC/YsJPBs7oVAO/Hi/eu6t3Kuz75Cc/Ke+RSj2ftdPv2NS1/5CouD+/saGfOPUj6hkYtHEqANhp7fqi7m98x3TN8Rf9OvXicZsmkjYWsrrze+Wf2T/5yU+qc8CsT9ra3e+8q/UblYMPfYsu/eiLZ/d1DgCwy8bGhn7wgx9s23bgwAF1drbNr8sAtBCHw6GDBw/acq5UKqX33nuv7L5/+A//4b7nSKVSunjxouLxeGlbIBDQ6OhoKfiXSqWUTqf1zW9+U7/xG78hn8+ncDisCxcu7CscmE6nNTQ0tKu1nZ2dZb/WZDKpaDSqZDK5bf6BgQEtLCwolUrp2rVrkqR//I//cdVml54u7/C036enuW38fn/V7o/lrpxQi/v65OSkLl68WAownzlzRi+++KKGhoY0NzenmZkZffOb3yyF+f1+vyYmJhQOh/d97nQ6XbpPF2cw895776mnp+epzjE+Pq5oNGq6ZmJiQpOTk7s6Xq2eb+r5+Jd2/xhaXFwsexsUC/2mpqYkScFgsDS7YRhKp9NKJpN677339Lu/+7v6W3/rbykYDCoWi8nv9+9rdrv92q/9mn7t136t5uf5D//hP5Td/gu/8Au2ve7t18bGRunKMMWZT506xc8dTa6Zchgo7/79+/UeAbvQNs+UxXfw9PX1KRQK6dVXX9WXv/zlbWsCgQDtzDWWSqVKf5GTHv+l/8qVK3WcCACaS251w3S/y9M2L+014+lxWa7JrpgH2QAArWvp/j3LNX2Hj9gwSWvpP2od/DPu3CbQDKDu1ubMW/olyX3KvHW+2bh/dMA00Ly5kNXG/Ko6B+1/QyoAAADscfHixbLbY7HYvsKETwYBdxNSTKfTikajmpqa0uTkpCYnJxWNRjU+Pr7nOfbKMAyNjIwolUrJ7/crGo0qHA6XnT2ZTGpiYkKpVEqGYWhyclJTU1Olz4F90um0RkdHlU6nFQwGFYlEFAqFyq7deh9Np9OKRCKKRqOanp5WIBDY8wy7DYq3smZ//EuPH9djY2OSHj8fvvLKK2VnNwxDU1NTpSuZJ5NJDQ0NKRaL8fgvo1JDc7G4EgDQ2tom9fTkuwej0ah+9md/VtPT00qn0woEAnrttdfqOGF7KP5lriiRSDTM5TTu3bunw4cP13sMADCVy26a7ne5uczvfnV1O9XZ1aGN9cqXkV5dydk4EQCgkSw9sA409x7i54qn5T16zHKNce+OnvvET9owDQBUtjZnmO53Drj33YjcaNwf79fylQ9M12R/YKiHQDMAPJWNXE7G3dv1HgOoC9/R4+p0WRdLoDEkk8ltzalFwWBwX0G8eDyu8+fPl5ppw+Hwrq7q6/f7FYvFFI1GS2HiiYkJxWIxJRKJp248HRgYUCwWk2EYmp+fVzqdLvv1PmlrkHF6erpiILYoGAxqdnZW8Xi89HmGYSgSiSgWi+nKlSt7+r158TYzDEPvvPOOksmkZdvvbhVvm1odvx6SyWSpPTeRSCgYDJqu9/l8isVimpiY0PDwcKlxd3h4eFcNyJVMT09X3LewsKBIJLJtWzEw/zR281g4d+6choaGSvf/eDxeMUxaTY3y+Je2P4bm5uZ0+fLlXd3Hp6amSmH4S5cumT5+fT6fxsfHS83TRZFIRAMDA5bPH+2k0vNvIBBomGwRAKC22ibQ7Pf7d/zFa2RkRCMjI3WaqP2MjY1t+x7s9S+UANDOaGi2h7unSyuZtYr7V5dpaAaAdrX8wPxyVJ2ubnl6+2yapnV0dbt1sH9ADzMLFdcs3rtj40QAsFNhPa+1D5ZN17h/xGfPMDZyPdcrR7dThbXKb7Bd+0FGPf+Vdds+AOAjxt3b+t9/5X+s9xhAXfy1r/xvOvT8C/UeA7tgGMaOwirpcTg3kUjs+bjFIGDRXlpKfT6fZmdnNTExocnJyVLB2ezs7FM15xZbYbfa2rxsNn8wGNT09PRThexCoZBmZ2c1MjJSCk2mUikNDw9rdnb2qQN75WYfGxtTMpl8quOUU+62kaTh4eGKt00jS6VSGh0dld/vf+rb2u/369q1azp58mTp+1a835mFkyuxCrA+GWj2+Xw1Cb0GAoFtj5doNKrJyclSk3AtNNLjX9r5GIrFYhobGzN9Y0M8HlckEnnqUHswGNT4+LgmJydL28bGxjQ3N0d25ocqBdsvXLhg8yQAgHrpqPcAdin+ZXRpaam+g7SpycnJbX/hm52dtXy3IwBgp1zWItDsJtBcDe6eLtP92RUCzQDQrqwamnsPHZbD4bBpmtbiPWLe0rx4l0AzgPrKfbgkbVS+koskdfu9Nk1jH4fToe4hn+ma7NyiCvmCPQMBAADAFsUW2iebSvcbZp6cnNwWZpyent5X03M0Gt32+cPDw/sO8/p8voohxWQyWQoz7/VqxIFAQFeuXNm2rXh777cd1+fz7Slg+zT22kpcb8Wyu71+33w+347vWzwer2n4tx7Gx8drduxmePxL0qVLlyruS6fTGhsbUzgc3tNjodznNOtjqtoMwyj7/atVoB8A0JjaJtA8PDwsSZqZmanzJO0nmUxu+0v8Xt4VBwB4zDrQ7LRpktbm6TW/3OHqSs6mSQAAjWbJoqG579BhmyZpPb4jR033GzQ0A6iz7Nyi5ZpWDDRLkvuUz3R/Ibuh3A3z9moAAAA0j3g8XjZcOz4+vu9m5q2/Nx4fH69KSC0Wi20r0xodHd13g/CZM2d2bCs2/AYCgX3dDtLjUPOTTaTFoOR++Xy+mra9lrttGt3k5KQMw1AsFtvXbRMIBHYEficnJ5uysdpMLfIczfT49/l8FUPvY2Nj8vv9FZuEd+PJr3tqamrPx2olFy9eLLvdLGAOAGg9bRNojkQiKhQK/EXAZlt/6Cpe9oMwMwDsXW618iV+JanLQ0NzNXgsGppXlwk0A0C7WrpPoLlWvEfNG5qX7t21aRIAKG8tbR5o7jzkkbOv26Zp7NX9Iz7LNWs/MGo+BwAAAGqrGGQeGxvb1szs9/s1Ozu7rxbRVCq1rZnV7/dXtZX0yVbiJ7+Gp1UuzFgMeFerATkcDu+4qnEqlapK4+9eGogb4di1MjExIZ/Pt6824KILFy7s2FYpiNmsBgYGqnq8Znv8S+Vvg2QyqVQqte/ngNHR0bLHbmeGYWhycnLH9mAwSDszALSZtgk0BwIBnT59WtPT03r//ffrPU5bMAxDo6OjMgyjdPkVwswAsD+5VfOG5m4CzVVh3dC8btMkAIBGszxvFWg+YtMkrcd7xDzQ/NDIaH0ta9M0ALBdYX1TuQ+WTNd0D7VmO7P0w7C2zzysnb2asWkaAAAA7JdhGEqn00omk5qcnNTo6KgcDofGxsa2NZsWW0jn5ub2/XveJ5uHqxlmlLQjrJpOp3X+/PmqnkN63Cpbzfbjci2vk5OTbR9urKbibXnmzBlNTEwoHo/v63g+n29HED0ej+87QNvKmvHxXy64PzExoWAwuO/nw3It5/ttfW92ld7IsZ8mbABAc2qbQLP0+J1yhUKhKpdpgbWRkRGl02mamQGginJZ80Czy02guRo8vVYNzQSaAaAdrefW9GjRMF3Td5hA8155jxy1XLNISzOAOll7f1naLJiu6fb77BmmDhwOh2VLc+79ZeVz5lcVAgAAQPWk02k5HI49/dff36+hoSGNjo5qYmJiW3jW5/MpFAopkUhobm6uKo22ExMTpXbjreeoticDcfF4fN/h1SdtbZmtBr/fX/a2qEZLMx4rtukWA/xjY2MaGhra1zHLZU4uX768r2O2qlZ5/KdSqao1qJd7U8TW26jdpFIpTU1N7dieSCSq+gYSAEBzaKtAcygU0sjIiGZnZ/XFL36x3uO0tNHRUaVSqVKYmb9kAEB15LLmvxzucjttmqS1eXqsGppzKhTMwwwAgNaz/OCB5ZreQ4dtmKQ1eY+aNzRL0uK9OzZMAgA7raUNyzXd/tZtaJYk96l+8wX5gnLvm7dYAwAAoLp8Pt+e//P7/QoEAgoGgwqHw6Um5kwmo+np6R0NtHtlGIYmJye3batGSLocv9+/Y+6LFy9W7fjF263aLly4sGNbKpWipblKygVF0+n0voKp5Rp25+bm9ny8VtVKj3+pfDv3Xo/zpHZu+C73BoFoNFq11yEAQHNpuxrHeDyuQCBQuizBb/7mb9Z5otYTiUSUTCYJMwNAlW1u5LW5njdd0+1pu5f2mnD3mDc05zcKWs9uysXtDQBtZenBPcs1fYdoaN6rHt+AnF1d2lyvfCWExbsEmgHUx9q1RdP9nUc8cvaavzGy2Vk1NEvSWnrROvgMAACAqslkMvUewVK5QOG5c+dqdr7R0dFtQeBiMLgawbiBgYF9H6OcQCAgv9+/I3hLoK86FhYWym5PpVJ7PiYNu7vTSo9/STV9PFa6n7a6ycnJHY+dcDis8fHxOk0EAKi3tkvheL1eJRIJDQ8PKxaLaWFhQf/8n//zeo/VMiYnJzU1NUWYGQBqIJfdsFzjcrfdS3tNeHYRRHi0nCPQDABtZum+eaDZ4ehQz8CgTdO0HkdHh7yHj2rh1o2KawwamgHUQWEjr9yHy6Zruv0+e4apI+fBLnUdO6D1O48qrllLmwe/AQAf8R09rr/2lf+t3mMAdeE7erzeI8BGT7azSo8DvLVSLnA4MTGh2dnZmp2zGiKRyI7G4GQyqXQ6ze/c98nv95cNL+/ndi3XsEugeadWe/yPjo5W5TjltGNDc7mm9K0FlQCA9tSWKRy/36/Z2VmNjo7q8uXLSqVSmp6e1ic/+cl6j9bUpqamNDExQZgZAGokt7ppuabL47Rhktbn6TVvaJak7Mq6RAknALSV5fn7pvsPDgzI2dmWP2ZXjffoMdNAMw3NAOohd2NZ2iiYruk+6bVpmvrq9vtMA825D5eVz22qw8XPpgBgpdPl0qHnX6j3GABQU/F4fMe2WoYZKx0/lUrJMIyyIdRGUan5NR6P01S6T5FIpOx9MRKJ1GGa9tGKj38yMNX1ZEDc7/frypUrdZoGANAoOuo9QL0U34UXDAZ19epVBQIBffGLX9TS0lK9R2tKyWRSkUhk32Hmcu/AAgA8RkOzfXbT0Ly6nLNhEgBAI7FqaO47xDtd9st75Jjp/sV7d22aBAA+snbd+t8Lu0/22TBJ/XX7LYLb+YJyu7i9AAAA0B4SicSObWfOnKn5ecv9rjqZTNb8vPtRKehZ7jbE0wkGg5qeni7dLwKBgBKJRNXDte3YsGumFR//BJqrZ2xsbFureSAQ0OzsbEO/8QQAYI+2DTQvLS1penq69GJYKBQUi8V08uRJffWrXyXY/BRSqZRGR0er0sycTCY1NTVVxekAoHXkVq0Dzd0eAs3V4HI71eF0mK5ZXVm3aRoAQKNYfmDe0Nx36LBNk7Qu31GLQPPdOyoUzFtSAaDactcWTfc7B9xy9nXbNE19uXbRRL2WNr+9AAAA0D7KhQjtCKuV+331m2++WfPz7le5gG2jB7GbRSgU0tzcnAqFgmZnZys2YqN6WvHxPzAwUJXjtLvJycltDd6BQEBXrlwhzAwAkCS1Zerp0qVL+vznP1/62OF4HFgqFArKZDIaHx/X+Pi4/H6/QqGQRkdH9dJLL9Vr3IaWTqc1MjJSlTCzpKocAwBaVS67abmmy91cl/V1dnXomVM+SdLy8uM3E/X29pX21YvD4ZCnp0sPFyu3MNPQDADtZ+mBVUNzcwSaO10uPfeJn5QkLS8tS5J6+3pL++rJqqF5Yz2nh0ZGPf388gCAPQr5gtbeNy8+6D5R33ZmR1dHKWj85M9Vjir/XOU82KWuYwe0fudRxTVraaOq5wQAAEBzSqfT29o3i4aGhmp+7nKhuGYIBp85c0apVGrH9nQ6ze/Q0VRa9fFP4Hb/ksnktqu2F5uZAQAoartA8xe+8AVNTU2VbXTaGmyWpLm5OU1OTmpyclLS4xfSYDCo0dFRnTlzRn197XEpyUoMw9Do6Kik6gWRZ2ZmbLnMCAA0I8uGZofU1d1cgeaD3m794i8/bhz41re+JUl68cXqXuJrr9y9LotAMw3NANBO8vlNLc/Pm67pPXTEpmn256CvX+f+769J2vr6+2I9RyrxWjQ0S49bmgk0A7DL+p2HKli8ubR7F63FteTsdelI5E9Jkq7/8Hl96MU/VbPzdft9poHm3I0V5dc21dFkP58CAACgusqFGSV7Gk7LncMwjJqfd78qhSUJNNdHOp1WKpVSOp3W3NycFhYWZBhG6U9UxuMf5aTT6VLGSCLMDAAor60CzV/+8pcVi8UkfRRe3qpQKMjhcGzbtzX4PDs7q1QqVQo4+/3+UsA5GAy2XcB5ZGRECwsLVW1VTqVSOnfuXFWOBQCtZj1rHmh2uTvLvr5hbw70dskstra6QkMzALSTh0ZG+U3z1+K+w83R0NzIvEeOWq5ZvH9Xz/7YJ2yYBgCk3HXzdmZJctW5odlu3X6vVn7/VuUF+YJy7y/J/fF++4YCAABAw6lngLBSMNgwjIZuWB0cHCy7nTCmPZLJpBKJhJLJZNmmbL/fr0AgIL/fL5/PV8qNYCce/3iSYRgaHh4ufRwMBpVIJOo4EQCgUbVNoHlxcVETExM7WpiLngwyb91eVCgUtn3e3Nyc0um0pqamJH3U4Hz27NmWDziPjY0pnU5XPcwsPb4dAQA7rVk0NLs8tF9Vk7vHZbo/S0MzALSVpfv3Ldf0DRJo3i+X26MDXp8eLRoV1yzevWPfQADa3tr1RdP9HT1d6jzksWmaxuDaRSP1WnqRQDMAAECbW1hYKLu9noHCdDrd0L+LNmtoRm0kk0lFo1Elk8lt230+n1555ZVSuV257w2B5sp4/GOrYpi5GHQnzAwAMNM2geaLFy9KehxK9vl8OnPmjPx+f+lyIDMzMzveJfZkwLlSq3NRscG5qFUbnCORiJLJpK5cuVLVS9sU27O5XA4AlJezuMyxy902L+u28PR2me5fXSHQDADtZPnBPcs1fYeP2DBJ6/MePmoeaL5HoBmAPQqFgtaumTc0d5/oa7sr5TgPdqnr2EGt33lYcc1a2rBvIAAAADSkubm5eo+wQ6WQZaMYGBgou31+3ux6ktiLyclJxWKxHWHxUCikCxcuEHzdJx7/2GpkZKT0WAuFQpqenq7zRACARtY2yadUKiWHw6FwOKzf+q3fKrtmcXFRMzMzSiQSSqVSO96FV60G59HRUb300kvV+LJsNzk5qampKY2Pj2thYWHHbbQbW4PjCwsLpdspHo9LItAMAJWsWzU0E2iuKo9FQ/Pqcs6mSQAAjWDpgXlDs/tgj1yeAzZN09q8R4/p9tXvV9xv0NAMwCabmTXlLf7e7zph3Vbcirr9XtNAc+7GivJrm+ro5kpCAAAA7WpwcLDs9idLxvCRSoHLoaEhmydpXclkUpFIZEeQORwOa2JigqxClfD4R9HY2FipGJIwMwBgN9om+TQzMyNJFcPMkuT1ejUyMqKRkZHStnfffVfJZFKJRMIy4LzbBufipUcCgYA++9nP6vz5803R3hyPxzUxMSHpcbC5FpdQ4QcEAKjMsqHZ0zYv67awbGheXlehUGi7NjYAaFdWgebeQ4dtmqT1eY8cM91PQzMAu+Q+MG9nlqTuk+0baF75/VuVF+QLyr2/JPfH++0bCgAAAA3F5/PV7dyVQpON/rvoSnNXam7G05mYmNiRcfD5fJqenlYwGKzTVK2Jxz+kx4+5YrEhYWYAwG511HsAO+3lL02nT5/Wq6++qrffflv5fF6zs7OKRqMKBoOlRuYnm5m3cjgcpf8kbVufSqU0Pj4uv9+v69ev7+Mrq71kMqmxsbGan4dLtwBAZWtWDc0emq+qydNr3tC8uZHX+pp5yBwA0DqWH9wz3d93+IhNk7Q+79GjpvtXFua1keNKCQBqL/fBsul+h6tDXccO2jRNY3HtIsi9ll60YRIAAAA0qkrhwUotxNVU6RyNHgyen58vu50g5v6NjY3tCDP7/X5du3atZcPM6XS61IxrNx7/2FqSSJgZAPA02ibQPDw8XJXLVzwZcE4kEhofH1cgELAMOG8NNzscjtK6hYUFff7zn9/3bLVkR5hZ4ocxADCznrUINLtpaK4mT495Q7P0uKUZANAeLBuaB2lorhafRUOzJC3ev2vDJADa3ZpFQ7PruV45nO15xRbnwS7LMPda2rBnGAAAADSkSuHBubm5mp+7Ui6gnq2xu5FOp8tub/S5G10kEim1xBb5fD7Nzs629G07MTGh4eHhupybx39723r193A4TJgZAPBU2ibQPDo6qkKhoC996UtVPe7IyIhee+01zczMPHWD89bm5kQiUdW5qq0aYfDdOHv2rC3nAYBmlMuatwG73DQ0V5NVQ7Mkra7QDgkA7WLpPg3NdvEe3UWg+d4dGyYB0M4K65tav/XQdI3rY702TdOYuv3mLc25GyvKc1UbAACAtlXpyrx2/N65XDC4Ga4UXK5N1+fzUQq2D/F4XFNTUzu2X7lyhYBrDfH4b19br/4eDocVi8Wqdmy7cksAgPpqm0Dz+Pi4vF6votGovvrVr9bsPE82OO8m4OxwOBr+h5AnZ6/Vf6FQqN5fKgA0rLVVi4ZmT/M1NG+sb+rm9zO6+f2Mlm5vaOn2RunjjfX6/uLbvYuG5iwNzQDQFtYePVJu9ZHpmr5DzdPQvJHL6cM//o4+/OPvyPjwuowPr5c+3sjV/806PQOD6nCa/71m8S6BZgC1lbu5IuV3FhRs5fpYn03TmCus55WdM5SdM+S6n5fr/kcfF9bzNTtv95B5oFn5gnLvm7dcAwAAoLUFg8Ed2yq1EFdTuXOcO3eu5ufdr3Jzl7sN662ZQoXnz5/fsS0UChFwtQGP//aTTqc1Ojoqqfph5rGxMfX391fteACAxtV8yad9uHLlis6cOaPx8XElEglFo1F98pOfrOk5T58+XQo5S9K7776rZDKpRCKhmZmZ0l/2q/lCDgBoTetZi0Czu/le1h8t5vS7v/Hutm3f/3ePP/6rf/+n1XfIU4+xJEndBzrV0eFQ3iTE8Gi5/qEvAEDtrSw8sFzTO3jIhkmq46GR0eX/x/arF/3hD//83D/6mrxHjto/1BYdHU55jxxR5vatimtoaAZQa7kPli3XNEpD8+ZyTg8uPX4mL74aPfiPjz8+Nn5WnQPumpy3+6RXckgyyX2vpQ25P84vHAEAANrV2NiYksnktm0zMzM1PWelwGQjBoO3evJ2KmrEIObCwkK9R9iVqampsuHrCxcu2D+MHl9VPJ1Oa25uri7ntxuP//ZiGIaGh4clVT/MLD1usOeNCADQHtqmoVl6fBmJq1ev6sSJE3r77bcVCAT04osv6q233rJthq0NzgsLC8pkMsrn83rppZdsmwEA0Jxyq+aNxS6P06ZJ2oPD4ZC717ylObtCQzMAtIPlB/ct1/QONk9DczPwHjlmut+4e9emSQC0q9wH5s3CzgG3nD0um6ZpTB0HutR17KDpmrVrNDQDAAC0s3IhQsMwatrSWi4Y7PP5Gj4Il0gkym5vxCCmHS271VAuUOn3+6tyX9hLS3WzBMGrhcd/+yiGmQ3DqEmYWXr8vOP3+6t+XABA42mrQLP0+C+oc3NzevXVV+X1ejUzM6NQKCSn06nPfvazeuONN7S0ZN8/tHu9FpdmBABA0uZ6Xpsb5pcKbsaG5kbnsQgorNLQDABtYWnevKHZ4ejQQR/tk9VkFWimoRlALRUKBa1ZNDR3N0g7c711+83/bTN3Y1mFdfOfZQEAANC6/H5/2VBjKpWq2TlnZ2d3bKtXI+/TmJqa2rEtFArJ5/Pt6XgDAwP7nKiyWn7/qqncnKFQqCrHboZw8l5C19XE4799jIyMKJ1O1zTMLElnz56t+rEBAI2n7QLNRdFoVAsLC7p8+bI+9alPqVAo6PLly4pEIurv79epU6f0pS99SdevX6/3qAAAKJfdsFzj8hBorjaPRUPzKg3NANAWli0CzQcHBtTh5EoJ1eQ9ahVovqtCoWDTNADazeZiTvkl8zcvuj7WZ9M0jc11wqKsYbOg3E3zcDgAAABaWzQa3bGtFoG3osuXL2/72OfzaXx8vCrHrlWINZlMlg2flrvtdqtcELpaAddKbdKNpFILcLUCkXa3VO+1EXqvgfhqaaXHP8obGxtTKpVSKBSq2fe22LxNQzMAtIe2DTQXhUIhzc7OKpPJ6PXXX9dLL72kQqGgubk5RaNRTUxM1HtEAAB2F2imobnqPD0WgeZlAs0A0A6W5++b7u8dPGTTJO3De+So6f717KpWl+27uhKA9pL7wPr5xUVDsySp+4R1sHvtOs/XAAAA7SwQCOxoaa0U4N2veDy+47jVbGc1DKMmc5cLfYbD4X2F92rV0GwYRilc2MgqBY6rFfCdnp6uynEqeXLOvYTp0+l0TZu6d6OVHv/YKRKJKB6PKxQK1fQxUWzeDgQCNTsHAKBxtH2gucjr9SocDiuRSCifzyuRSOi1117Ta6+9Vu/RAABQbnXTco3LQzNktbl7Xab7V5fNW9sAAK3BqqG5d/CwTZO0D+8R84ZmSVq8e8eGSQC0o9wH5o3Cjq4OdR0/aNM0jc3Z65Jz0G26Jvc+gWYAAIB2V6618+LFi1U/z5PH9Pv9VW9nfbIBdr/i8fiOgLDP59tXO7MkDQ0N7dhWjYbp4tdf7+bfeisX6q5mg/eZM2e2fbyXALBhGA0RAG2lxz8+Mjk5qampqZqHmaWPnndoaAaA9kCguYKRkRG9+uqrOnnyZL1HAQCAhuY6sWxoXiHQDADtYMUy0ExDc7X5jloHmo17BJoB1IZVQ3PXsz1yOPln1aLuF8xbmnPvL6lQKNg0DQAAQHupRctpLfj9/h2Bt6mpqarOn0qllEqltm1LJBJVO37RxMREVecud8Xo6enpfQeGn2zFlSq3Fj+NaDSqUCjU8MHCSvNV4zaIx+NKp9MKhULbtlvdLwzD2PX3tVwQ+cn7t5ni2rNnz+76c2qllR7/eCwej2tiYkLBYLDmYeZi83ajP+cAAKqH5BMAAE0gt7qLQLOHl/Vq81g0NGeX122aBABQL4VCwbKhuY9Ac9V1Hzgod0+vsiuVW1JpaAZQC4WNvHI3V0zXuD5mHuBtN64X+vQoda/i/vyjDW3cX1XXkQM2TgUAAIBGEwqFFA6HNTU1JelxuHNkZESzs7P7PnbxWFvFYrGaBOAMw9DY2FhVwpKRSGRHwDYajZYNIz+tSoHY/Rx7cnJS6XRaiURCY2Nj2/ZVs524Gvx+v3w+347Q7PT0tMLh8L6OPTExofHxcZ09e1bxeHzbvnQ6bRqmfjIEXUkkEtHk5OS2bclkcteNy8UG6d2er9aa8fFv9xtGGu0xVEkymdTY2Jh8Pp8ikUjZtvK9Kt7m6XRa8/PzSqfTpccYgWYAaB8knwAAaAK57KbpfodD6nTREFZtnl7zhuaN9bzW1zbV1e20aSIAgN3WHj7U+lrWdE0Pgeaa8B45Zh5opqEZQA3kbq1Im+Ztwt0f67VpmubQfcI64J17f4lAMwAAwB6ZNcqm0+ldBxwbQSwWUzqdLgXgUqmUJiYmFI1G93XckZGRbeHDaDS679BqOX6/X5FIRBMTE/uee2pqqhTuLAqFQhofH9/vmCVbA6TS48bavR4/nU6XgrzlgoWGYTxVA7HVucod/2mPHY1GFYlEtm1LJpOmoWMrkUhECwsLikajZeesdOzi2tHR0V2dx+/3KxAIbGsdjsViu/7+FQO9e/06q9Fk/aRme/yXCxjv576zVbmwdDM07qfT6dJ9uPjmDrs002sdAGB/SD4BANAErBqaXZ5OORwOm6ZpH54e84ZmSVpdztkwCQCgXpbn71uu6SXQXBPeo8dM99PQDKAWch9UfiNFEQ3N23UePiCH27w3Y+36kk3TAAAAtB6zsN/FixdtnKQ6EonEtrDh5OTknkNxhmFodHR0z6HPvRgfH1c4HNbk5OSOQPJuxePxHUHbaDSq6enpaoy47ZhbQ8DJZHLbbbVbhmFoeHhYgUCg5vfHYuC4GscOh8NlQ5B7vb8Vv+fF75Pf79/ReB2Lxcp+bnH7K6+8suvzXbp0advHW9tqzUxNTSmdTu85KFzpe/BkY/ReNMvjf2pqqmzAeGJiYt/HNjtONW7jWik+D9TL0NBQ3c4NALAXDc0AADSBXNYi0Gzxy2PsjVVDsyStLq+r75DHhmkAAPWwPP/Ack3v4GEbJmk/viNHTfcbNDQDqIHcB+bBW6evW84+6zc+thNHh0PdL/Qq+/1MxTW59wk0AwAAmDEMo9RaWmwFnZubswygxuNxDQ0NKRQKlcJeAwMDkh63WVajSbQWYrGYhoaGSqG+eDyu4eFhTU9P73rmZDKpsbGxUujQ5/Npenp6R8C0Forh1EgkokQi8VRB5EgksiMIPT09rVAoVNUZpce3yaVLl7YFRkdGRnTt2rVdtx2nUimNjY1pYGBAV65cMV07OTmpdDqtc+fOye/3y+fzaWBgoOK5iuHchYUFGYahd955p2Jgd3JyUqlUSoFAYNt93ep2u3LlioaHh7cFdFOplEZHRzU9Pb3r26H4fUskEtvuY8X78tavKZlMbluTTCY1OTmp8fHxp2qZDgQCO1q2z58/b/rYTqfTikQiCgQCu7pPPc33YGJiQolEQqOjo6Xv7V6eZxrt8R+Px7c976ZSqdLzcbm1w8PDCgaD2+6HwWDQ9H6+2+f14m1cvJ8Xn89r8fzwNIph5nq2SJ85c6Zu5wYA2Iv0EwAATSC3umm63+Vx2jRJe9lVQ/MKDc0A0MqsGpo7nJ066PXZM0ybsWpoXp5/oM2NdTk7rd+ABAC7ZdXQ7PpYr02TNBfXiT7TQPPGg1VtruTk3MXPWAAAAO1oZmZmzy2l6XS6bKvn04QD62F8fFyhUEiRSKQU8BsaGlIwGFQ0Gi3brCs9DgfGYrFtgcNwOLyjjbjWYrGYhoeHFYlESuHMrc2zT5qamlI0Gt0WrA2FQrp06VJN5w6FQkokEqXwp2EYOnnypKLRqOm86XRasVhMk5OTCgaDuw7/xuPxHYHYTCZT9nPPnz//VAHJZDK5I2g6Nzdnej/3+Xyam5vbESRPJpPq7+9XNBo1bfSdmpoqBW9nZ2d33C/9fr+i0ei2xt3R0VGFQiGdPXu2FBC2areupBieL85eDJZeunRpR8g1Ho/r/Pnz8vl8luHzov1+D8bHx/f0dTXS4/9pn3tTqdSOQHK5+4b0+HH0tMcvdz+v9Biyy8zMTNnWbjs18usZAKC66hZoPnv2rCYnJ/XpT3+6XiO0vK9//euKxWL6vd/7vXqPAgDYJxqa66P7QKccHQ4V8oWKa1aX122cCABgt+X5edP9PQODcnR02DRNe/EeMQ80q1DQ0v176j/+rD0DAWh5m0tr2jTWTNe4PtZn0zTNpfsF69sl9/6yPD8xaMM0AAAAzWtrYK3YzLlbxQZQSXVt0Xwafr9fiURCyWRS0Wi0FOQbHh4u7S+G2NLp9LZAnc/n0yuvvKKJiYm6Bd3C4XApgBmJRBSJRBQMBuX3+zU0NKS5uTml02nNzMxs+56EQiFduHChYmiz2oLBoK5du6aJiQlNTU3JMIwd8/p8Pg0ODmpubk4zMzNKpVLy+XyKxWKmwef9Kt7nn+b+XryvP839PBaLaWJiQtFodFuweWJiQhcvXizdDsXbIJ1OK5lMyufz6cKFCwqHwxUDpePj4woEAhodHS1t2xrsDofDpWDyXhTD88VAvGEYpZBssZG4eB8LBAK6cuXKU4Vf9/o92O/zTCM9/mt9P7Trft6qfD5fXQPdAAB71S39FAgEFAwGFY/H9Yu/+Iv1GqNlXbp0SZ///OdN300IAGgeVoHmLgLNNeHocMjd06XVpcotzDQ0A0Brs2po7h08ZNMk7cdn0dAsSYt37xBoBlA1a++btzNLNDRX0vVcr9ThkEzeDLr2/hKBZgAAgAqCwaAKhcp/l2p1wWCwFMyMx+N68803ZRjGtlDpwMBAKXQ6NjZWWl9vfr9fsVisFJR95513NDMzo8uXL8swDPn9fp05c0Z+v7/U3FsPxXByMTi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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Integral of R_1(r): 0.2778\n",
"Integral of R_2(r): 0.2778\n",
"Integral of R_3(r): 0.2778\n",
"Total: 0.8333\n"
]
}
],
"source": [
"max1 = np.max(one_lognormal(xx, std1, means_com[0]))\n",
"max2 = np.max(one_lognormal(xx, std2, means_com[1]))\n",
"max3 = np.max(one_lognormal(xx, std3, means_com[2]))\n",
"rescale = np.max([max1, max2, max3])\n",
"\n",
"params = [stds, means_com, [1, 1, 1]]\n",
"# Alternatively, one can rescale the selection functions using:\n",
"# params = [stds, means_com, [1/rescale, 1/rescale, 1/rescale]]\n",
"print(\"params:\", params)\n",
"res = multiple_lognormal(xx, params[0], params[1], params[2])\n",
"plot_selection_functions(xx, res, None, params, L, np.sqrt(3) * L)\n",
"intes, _ = integrate(xx / L, res)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Actual selection functions\n",
"\n",
"To account for lightcone effects in the data model, we use three snapshots of the final overdensity fields, each corresponding to a central redshift associated with a specific selection function. For consistency, the selection functions are defined as lognormal distributions with respect to redshift, $z$, rather than comoving distance, $r$.\n",
"\n",
"We construct the mock selection functions as follows:\n",
"1.\tDefine three rescaled lognormal distributions in redshift space, each characterised by a given mean (in $z$) and variance (in $z$).\n",
"2.\tDefine three misspecified lognormal distributions by ensuring that the sum of their integrals matches that of the well-specified functions.\n",
"3.\tConvert these lognormal distributions to functions of comoving distance."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"d_np = cosmo.comoving_distance(zz).value / 1e3\n",
"z_corner = zz[np.argmin(np.abs(d_np - Lcorner))]\n",
"z_L = zz[np.argmin(np.abs(d_np - L))]"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"zs = np.linspace(0.0001, z_corner, 1000)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Means (in redshift) of the 3 populations = [0.15 0.4925 0.8182]\n",
"standard deviations for the 3 populations = [0.115 0.14925 0.18182]\n",
"Modes (in redshift) of the 3 populations = [0.075 0.4317 0.7611]\n"
]
}
],
"source": [
"cste_z = 0.1\n",
"std1_z = cste_z * (1 + z_means[0])\n",
"std2_z = cste_z * (1 + z_means[1])\n",
"std3_z = cste_z * (1 + z_means[2])\n",
"stds_z = np.array([std1_z, std2_z, std3_z])\n",
"print(\"Means (in redshift) of the 3 populations = \", z_means)\n",
"print(\"standard deviations for the 3 populations = \", stds_z)\n",
"\n",
"mus_z = np.log(z_means**2 / np.sqrt(z_means**2 + stds_z**2))\n",
"sig2s_z = np.log(1 + stds_z**2 / z_means**2)\n",
"modes_z = np.exp(mus_z - sig2s_z)\n",
"print(\"Modes (in redshift) of the 3 populations = \", np.round(modes_z, 4))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lognormals in redshift"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[20:43:32|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(selfisys.utils.plot_utils)\u001b[00m Plotting selection functions...\n"
]
},
{
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"max1 = np.max(one_lognormal(zs, std1_z, z_means[0]))\n",
"max2 = np.max(one_lognormal(zs, std2_z, z_means[1]))\n",
"max3 = np.max(one_lognormal(zs, std3_z, z_means[2]))\n",
"rescale = np.max([max1, max2, max3])\n",
"\n",
"params = [stds_z, z_means, [1 / rescale, 1 / rescale, 1 / rescale]]\n",
"res = multiple_lognormal(zs, params[0], params[1], params[2])\n",
"plot_selection_functions(zs, res, None, params, z_L, z_corner, axis=\"redshift\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Selection functions, defined as functions of redshifts"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Integral of R_1(r): 0.9231\n",
"Integral of R_2(r): 0.9231\n",
"Integral of R_3(r): 0.9231\n",
"Total: 2.7693\n",
"> Well-specified parameters: [array([0.115 , 0.14925, 0.18182]), array([0.15 , 0.4925, 0.8182]), [np.float64(1.0), np.float64(1.0), np.float64(1.0)]]\n",
"> Mis-specified parameters: [array([0.115 , 0.14925, 0.18182]), array([0.15 , 0.4925, 0.8182]), [np.float64(0.9), np.float64(1.199999810418996), np.float64(0.9)]]\n",
"[20:43:32|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(selfisys.utils.plot_utils)\u001b[00m Plotting selection functions...\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Integral of R_1(r): 0.9231\n",
"Integral of R_2(r): 0.9231\n",
"Integral of R_3(r): 0.9231\n",
"Total: 2.7693\n",
"Integral of R_1(r): 0.8308\n",
"Integral of R_2(r): 1.1077\n",
"Integral of R_3(r): 0.8308\n",
"Total: 2.7693\n"
]
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Parameters for Model A\n",
"params = [stds_z, z_means, [1.0 / max1, 1.0 / max1, 1.0 / max1]]\n",
"res = multiple_lognormal(zs, params[0], params[1], params[2])\n",
"\n",
"# Integrate and print the results\n",
"intes, _ = integrate(zs / z_L, res)\n",
"\n",
"# Define population transfer fractions\n",
"diff_pop1 = 0.1 # Fraction of population 1 to transfer to population 2\n",
"diff_pop3 = 0.1 # Fraction of population 3 to transfer to population 2\n",
"\n",
"# Compute total loss from populations 1 and 3 and adjust population 2\n",
"tot_lost = diff_pop1 * intes[0] + diff_pop3 * intes[2] # Total loss\n",
"diff_pop2 = tot_lost / intes[1] # Compensation for population 2\n",
"\n",
"# Parameters for Model B\n",
"params_mis = [\n",
" stds_z,\n",
" z_means,\n",
" [\n",
" (1 - diff_pop1) / max1, # Adjusted amplitude for population 1\n",
" (1 + diff_pop2) / max1, # Adjusted amplitude for population 2\n",
" (1 - diff_pop3) / max1, # Adjusted amplitude for population 3\n",
" ],\n",
"]\n",
"res_mis = multiple_lognormal(zs, params_mis[0], params_mis[1], params_mis[2])\n",
"print(\"> Well-specified parameters:\", params)\n",
"print(\"> Mis-specified parameters:\", params_mis)\n",
"\n",
"plot_selection_functions(\n",
" zs,\n",
" res,\n",
" res_mis,\n",
" params,\n",
" z_L,\n",
" z_corner,\n",
" axis=\"redshift\",\n",
")\n",
"\n",
"# Integrate and print the results for comparison\n",
"intes, intes_mis = integrate(zs / z_L, res, res_mis)\n",
"\n",
"# Map back to comoving distance\n",
"xx_of_zs = cosmo.comoving_distance(zs) / 1e3\n",
"\n",
"plot_selection_functions_def_in_z(\n",
" xx_of_zs=xx_of_zs,\n",
" res=res,\n",
" res_mis=res_mis,\n",
" z_means=z_means,\n",
" cosmo=cosmo,\n",
" L=L,\n",
" stds_z=stds_z,\n",
" wd=wd,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that these distributions are not lognormal with respect to comoving distance."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lognormal distributions in $z$ (automated)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[20:43:33|\u001b[1;36mINFO \u001b[00m]|\u001b[38;5;147m(selfisys.utils.plot_utils)\u001b[00m Plotting selection functions...\n"
]
},
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cste_z = 0.1\n",
"stds_z = np.array([cste_z * (1 + z) for z in z_means])\n",
"params = [stds_z, z_means, [1, 1, 1]]\n",
"\n",
"zz, res = LogNorm.lognormals_z_to_x(xx, None, params, spline)\n",
"\n",
"plot_selection_functions(\n",
" xx,\n",
" res,\n",
" None,\n",
" params,\n",
" L,\n",
" np.sqrt(3) * L,\n",
" zz=zz,\n",
" zcorner=z_corner,\n",
")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "simbel",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.13.0"
}
},
"nbformat": 4,
"nbformat_minor": 4
}