{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook covers the basics of initializing and using the functionalities of simulator class. Various ways of simulating light curves that include 'power law distribution', 'user-defined responses', 'pre'defined responses' and 'impulse responses' are covered. The notebook also illustrates channel creation and ways to store and retrieve simulator objects." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import some useful libraries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import relevant stingray libraries." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from stingray import Lightcurve, Crossspectrum, sampledata, Powerspectrum\n", "from stingray.simulator import simulator, models\n", "from stingray.fourier import poisson_level" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Creating a Simulator Object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Stingray has a simulator class which can be used to instantiate a simulator object and subsequently, perform simulations. Arguments can be passed in Simulator class to set the properties of simulated light curve. \n", "\n", "In this case, we instantiate a simulator object specifying the number of data points in the output light curve, the expected mean and binning interval." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sim = simulator.Simulator(N=10000, mean=5, rms=0.4, dt=0.125, red_noise=8, poisson=False)\n", "sim_pois = simulator.Simulator(N=10000, mean=5, rms=0.4, dt=0.125, red_noise=8, poisson=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also import some sample data for later use." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "sample = sampledata.sample_data().counts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Light Curve Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are multiple way to simulate a light curve:\n", "\n", "1. Using `power-law` spectrum\n", "2. Using user-defined model\n", "3. Using pre-defined models (`lorenzian` etc)\n", "4. Using `impulse response`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (i) Using power-law spectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By passing a `beta` value as a function argument, the shape of power-law spectrum can be defined. Passing `beta` as 1 gives a flicker-noise distribution." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate(1)\n", "plt.errorbar(lc.time, lc.counts, yerr=lc.counts_err)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When simulating Poisson-distributed light curves, a `smooth_counts` attribute is added to the light curve, containing the original smooth light curve, for debugging purposes." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc_pois = sim_pois.simulate(1)\n", "plt.plot(lc_pois.time, lc_pois.counts)\n", "plt.plot(lc_pois.time, lc_pois.smooth_counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Passing `beta` as 2, gives random-walk distribution." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate(2)\n", "\n", "plt.errorbar(lc.time, lc.counts, yerr=lc.counts_err)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc_pois = sim_pois.simulate(2)\n", "plt.plot(lc_pois.time, lc_pois.counts)\n", "plt.plot(lc_pois.time, lc_pois.smooth_counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These light curves can be used for standard power spectral analysis with other Stingray classes." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pds = Powerspectrum.from_lightcurve(lc_pois, norm=\"leahy\")\n", "pds = pds.rebin_log(0.005)\n", "poisson = poisson_level(meanrate=lc_pois.meanrate, norm=\"leahy\")\n", "plt.loglog(pds.freq, pds.power)\n", "plt.axhline(poisson)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (ii) Using user-defined model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Light curve can also be simulated using a user-defined spectrum." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "w = np.fft.rfftfreq(sim.N, d=sim.dt)[1:]\n", "spectrum = np.power((1/w),2/2)\n", "plt.plot(spectrum)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9eROWrNmCFz5xe1DKk1vTPluPv411N1C/0UCxPFRUeUhz+3RMHYmJmdtvwq4Y8McW8vyv/c3tcioLC5N7PzR+sdGzgpQD/aYTzPf6KGaasIuBojzj9L/n9yJVtd1VG7cJ54XFPm1xtjIEFSHEUyG0av49a1KpSNrAefdPxP6/9ppKAOCjpetdf/PJLZE/vDpHyo+PEC9S5VN1Fnw39rg6EiNNPDex6U37v4+WY/6qjbHkRQf3uy7kleevUnulcOIozvfnrw5OhOCdg3S+3apqF9YPPIhCy0FVL102c+aftpqoCCGeJjIWeKI5JcrHfW+evgHp8qBqAF80bQNjzHd4XSwhrtJU+CRjXHkwKWq/Z/70yY9x3G3vxpKXIOIsdXkgE8cwfsmaLUbpoj5Klccw+Z6+rAmLAxYSFTraUtURcaJW1MRLbZ4rNRUhxLOauFlF4x+Um1O27mjFlCV6T5MwmG6+uqBxE0b87k3c+95C38ocx/J3ozJRpMkEDLnDYtKOTM0pLa0ZrNu8wzdNWMbP905+F8qTHy7FNmnFcKHyZO7K/Ggk6Fa69wh6P57HqMr3V+4ch6P++LZvmkKDjSmFOKnPl9rbqdRUhBBP5xp/cFr+PWtSBMaAq/77Cc68awJWNBUerc10ImmZExnuvXmrfStxHBqESf1VPYYrMvFVf3Nzyvot/h4xv3t5Nobd8Hqsi1UueUSI4RHTS//y6emuSXWgcIHym+dn+p5372ijThMkpFUdf9zmlEJRa+J5PliYV8xURR7mfTKSh1ulURlCPIRXA0/DzSmzVmQ1m6at8bjSqWfC3X+nheXl/pp44ZOKJiJjpbSYBACejDmiotmy++z/lz7iHxTpP07etmu8eqKQFhq1/E0YY5iyZF0szyl0s2zRZOArhkg/T5QbZWmFuOq58ZKEOUV3R9Wz/N7niN+Pdf39wPuLcO79E/HGpytD5LB8qBAh7kzCGQjxnJ94OoUMY8Z79pmiFrzue4uudH6V2dTjxg+TxnKGMOsvE585JTgf5aLtyVl9ZMISnHnXeK0bazkybl4jrn1mhvJckImNfys52ZuzVmrLIGxNTWJiU3dP1eHnfKKELl3rnnPgcxDL1pnNRZQbFSHEw6z0y3mnpLPmlKDVa2FgYNihEOKebAnDWf+JzcI1zbAaz9D+XQt+pgqTXAgBJvFFU350oI84l4ytUy4z7iq6ZE38+5+GxTSEw9Sl67WCKhNQ58W358/r1K4GFz88ObdNmve55t+iaUsznvlouXF6FarJeFVdP31Y34I7jDLRLSJTEUI8H/QnnCYO5ON0pGJ602bFUnm5vvE/CeRb+eOZ2AyXviaVTI01yYcYJnjSYr1Nk0LMgZjCNL8BMURufM8rJUHmFLEd9e/WAUA0r5rz7p+I65/1jgZ+8dQ0/FWzibkpqlGq3P7r0ins1j16/jlhWkTT1uay09grQoiHadQLHa2qNu0OexqHJg6oK5dcgfJ+uv55jmObMl3dfXn6CjSMeRFrpJ1VZCG+ckO4nVd0mESPFM0pYplF9bKIivy9eJkUY9HIQ+8vKuh6E62RD/C0SYXX5GUcxdz43rzVeGSCd+n+qo3BdWrZui24/c15WuFrMvfUypjg8SSmi/YdTa464c/v4PBbxwYnLCIVIcTD7AjDd8/hdvQ47M4cxoB/TfJOCHqtKdkjKZ/Jp2zekjOn3D8uKyzmrHQvoOEjFM4rzo48IvNXbUJTgAeJHzM/36A8LvYfKddEo/o+SQnxHVLnyUcIxVg08uvnowWdenvOKjSMeTHQswcwdzEE8m0qqJnM/sJ8IVbaYLT3g8em4rbX5+Z28pFRCXH5vVoz+Tkvt1JgnFUA3rmaNZu240NNALy4lJ44qQghHsacwqmTNuWNQyCs39qMP7/hjf8s39qtifsI8Tg08YDzW7a73fRMdpk/7rZ38JU7xwWmc+VDyIjuWlFwp3y8RVT3NOWiByfhgXH+2u6Pn/jI9XfJN6sQ0E3+/n1s1pVx1gp1B3n1M9NzIRSCV2x6BZ6f9irHiwnCRBPe7EQB1X179doGbzreX4inoipH/JHfuncivn73hIqJv1IRQjyKjbRG0sTjEOJi3GgReQJO/OuNT/UeD0lq4rz9ypES69Jmn1yewY+aDxFRQROzIV+bj+IX/puNndOoDLHq1yC5OaUshLjiWOPG7Vi9OasB6rTcxycuxWTHTTJoIZf4loWYU3SY3EmM+688bzixmZcNojnPIAM+8NFrGVQHIwqKYlgsosShTuds4m7txI8bo8ZXlu6dn1giXP3MdMUFWeIw9ejei1duOdSsiSYeZz5ESKuJq9MXqxGlIoz0isnBN72R++1nqjAddXIBKY4U/co6bLmYJOdpUprRgsncEwDBnCJeG1ETl/7OMIZ07B708VMRmniU6He1KXewJZNr7wsYhuvw3JkPZwOue29u4avEdBomf/aGbW5NPMwO6lOXrjPPh4H+JWpXJhtaFys6XdCcy2+f/xTX/U/tk50kqtz4CnFHeOVew2QSlPH/9WUd9jPox6XiPfU3ra9JaTRx998pyjssiLcLO6oIszduOVIRQjzMsntOLkpfJv7hokgmw7w2ceQ1HT/i0IqDXmuDtFL1sME9je/tt0hIxqS+NwuZdWni0kvwM8VqQ7kVtpoHPvD+okR2QwpC1UGbuIjmTRX+NnFCfuLdr6yDbMPPTfsc/xZWAJvYkvMjAG/aDnVpjSbu/rtjXU2ujc36YgM+dzboiDrCfXTCYld4jlLtBRuWihDiuVWXISYCuYthXhOPPVsAgE07WrB+qztYU36BkT9dO9QW/Hx9UK7s/7ImfsQQcyEeLh/BaVzb0QmFo/s2cXqLqO7UmmH4fP1WwZwS2+MiowvyxDHJY85cojkvFmvGQMkJeuaPn/gIVz71ifL++jzCea73XIe6Gt+gbZz2dencKOqMv4/HqFvecu4ZUhN3Smrxmi341bP52DVWE48RrlGoVkvq4BObvJIGaQdRZ6K/csc4/PDxj6R7Zf/XaUIcedu0KOiDcmVPyDZx2cWwmAzZuVPut1jeHj97zfG4+csbczHqlrdyq0eDzDc6t7OkUAYuC7FqWX9emAQ0MqeEtIkbmNb4t1WFsWhXm1IqbHI+OtbXKNd/FDLXtFhYtXv8bd79AsqRihDi3A4YJmBUTUhNPOp3V8V+zpkkA1TxeBb7hNPEkxLiJg1XNAWIQ1XdlUnrQeOc8LR8xxhRg1u6Zgv+8OpsV/l+3Wff1bgQq4zq25pombmdfXQBsITfKnPKN/8xAT//zzRPGlOMNHEnjep96mrMzClXfnlP5TuGGbED+tHP503ewHHlSEUIcV7IYYS4LKyCF0DEJzLyFcFfivNnrtq4Dbe8PDuS3T5IAMqaOO/ctPeLutrN4DKV8JB/x5EXE7bsaEEtH63ltNH8+csfn4K/jV2AhQGbHySJqlzCaOLa2CmCvS/nYijcd+KitXhqyjIhvWmO3c/3g3f6Kk+SujRh8ZrNno0n5Hc/ab8+Sl/4Qlx3C507m/bZejSMeRFzQiyOKpSKEOLcLBFKE5cmgIIqf5zygu+zGaSJ8wpzyE1v4u53FuQ0wzAELVnftC2cn3jUcjC5TLuqTmcSSlAVf23mSmyX6pNYljx0cVKxZnRQgOuliXzyq+s7WjK5d9vRkjEyp5gKNh5SwGzzluz/qtFobTqF+as2eTae8FvsI1KIOaWVMaPQBrp3fGlG1vvrrSJGxKwIIc7NKTOWb1AeV1EjCaugehWnJj59eROA4IlNefJGFVwrCLG+Pjphsee4bHcP0sSTnMxxyW3RJq7NS3zPlt/rp09+jGmfrQfgjv/O4UPyoHmNJFF9CyNXTh9zyoUPTsKZd+XNQnyyOQ4/8V8//6ln83Ad/PurOghxFC3OQ5jGDQ8bp59cv82iLOmKpBSbgVeEEOey+lfPuXc9qfURSLUhNfEkCGr/8kSaqQbx9bvH43uPTvHc4zphZp3Xsh2SEFfZxAuJO6G6h0jTlubcphQuX17XxKbmnjFaxf3eiysDYvhUP5ttkri+hYFdWH0P/bnxC9YEPjfKMznNrRmj9Pz7N6uEuOB6K85DmO5IVOg3M4l7r5MnYeI8xUVBQpyIuhLRU0Q0m4hmEdHIuDImPUd5vL4mrb1G9sEOM2MfF4sC7KlyZTMduX+4eF0ucJUu2/zWslai6vhcAZEMvHjueHOeKxznjpYMpi5dr0w/8pY3cejNb2avFY777ZHI/4zTT9d32b1TJmKIAi5kfh2wXVrcuOcNvOfDhGMOswmHv4uhedtIE7k6X9Wlf31jXi6QlxxT/9Yz98vFPZJR3UvVZvhoYN++OxnlWSwmBmamiWuO82JMFdEMV6gm/lcArzDG9gIwFMCswrPkJa2ojL061/uaUzxCPECKJ9Fxzl3pP7T8z5RlOE5wY4qy841qq7Hnpn2e259S1sRrFIHVxQYc1F6XrNmCP70+F5c+MiV37C+KoGCcLTvyAbj0mz+oCauJ+wlqv+/LLztscI98eueCt+c0hspDobCADtXITzxCXfY3p5jfZ92W5sD0YhA52Sb+zYN303pQKe+raDNXPJn1rPnekYMwtF8X/8zA2+7MbOLq40Gx3JMgshAnoi4AjgBwPwAwxnYwxtbHlC8Xqg0dhvbr4ttjykJ8RdO2XJQ3FWE8IUbHuGBm/iozG6IO2a5+xZMf48dPfIR5zn1l33pVAzHxFJHZsiOvtS5fb7YJNYM62NRMZw7Bkz6kMJLTL1u3BY1ObGu/9+JnRKWwVAs9gjTxMPvMhlEG/TtA87L4xj8muNIHmhQV99YLcW9a+R3FUBFNW5v1CoKYR5/8zdDVTc2d+W1VimdSFKKJDwTQCOBBIvqIiO4joo5yIiK6jIgmE9HkxsZoWo1aQ/UvJNkL4+pnpuO21/UaYxhtIylf6yifXW58//vYvWWXV4h7n6KzVatIKSYBTSssY0wIK5w/ftmjU5TpwwpSOf2Zd43Hl//yrvNs/3wB7oa5roB46oWwUJgYVAnWMEvaw8gRv84htKunkDzoUtXuVrrJd/XEpjvtGX8fj2P22hkAcMp+ffTzLT7HxXs++aF6Q3GtJp7rQCtDiNcAOBDAXYyxYQA2AxgjJ2KM3cMYG84YG96rV69omdQUiF85qeKS/Heqz75/IeppkNtZ1JgoUb77pyv8/VHlyiZ77QDZxpHJMLzx6UrjCRkxr6b2P8bC7aITVnbIHdDKDduxdvMObG9p1VzhPCfcYxJl2TohdoeiAKYtU2uGIq0RBInqWZu3t+BL17+CN2aFc5djmt8AsH6LO0SFqvPQtS9Tm/hbs1ehf/f26NqhTq8xi3/4FFOQxi2T89GvBHMKgGUAljHGJjp/P4WsUI8dlaaXPeRjE1cIKz/Xo1AREgM08a7to8VEidJ7X+sT6pbTt2v73G+VJr6wcTP+OXEJLnlksraj29bcilteno3NO7wbBJjmmjGzsK9c81OlmbJkLY7509vKjQp0t9zz2lcC8sV8rw/CZCebKESdpwmKJ65C9e6LVm/G5h2tuPWV2ZGeL+bhyQ+X4u05q3DpI5NdaVUeWWnNhrhNQjC3A5wNv3VNpmOdf5Rt39EFiT81HYq2cwg/qVwokYU4Y+wLAJ8R0Z7OoWMBRAzI7U+UNqLShv3KNYwQD/K1jrzYIMJ7qjRrme4d63K/VR3Q5Y9PwSpn2yndZhBPTFqKu99ZgJP++p6T1XxmTesrg9qcok/v5dZX5mBh42ZMW7becy6qHZtfFlUjb1/r9ZLq1629ImU4MhmGcfPCLwBr9VEH99qls/qaGOcAVLf65dPTceGDH3om+2XvFECtib8/fzUuf2wqAOCp743EM5ePAqAXsh3q0tq8AO76J95DTi9m5b73FiqvFxGvX7VxG8YWYdFPoZtC/AjAY0RUB2AhgIsKz5IXXa8W1pziJyXDVGGVh4dI2MUGhWCyolDsdJQTm5l8mofGLzZ+9sLGTZi8eF1wQgDvzG10mVN0QoN71QBqbYmPylSXR+07N24Lt/2YTIe6tGcHpbd+dhQmLlqDF6atwJOT1XbVIDKM4dz7JwYnlBAnNldu2IYUEXp1rgcA7NROPUpUxQCK2imK18l3kOufWhP31ukpS/L1jIjyMkGnidcHaOJCzmQ54lr8I5y88cW8813QPEGKstu8zV+1CQtuPjmx0RpQoIshY+xjx969P2PsNMaYWYsOiaoAgopEZU5ZvWm71nc7nDnF/+lRhbjfXV+Zkd29fnXA7vUqaoVOR5f3oNdXfYOTb38PVz79idEatwsemASGvMnouv/NUG7GfPY9H/jmiTe+N2etcnnIANGFDg93MGnR2kiLNDopBEZdTQqjh/TCtw7dLVKe2tWmIndKM4QVw4fe/KZrZ6AwRF/4pT8n19ebXvR6JavqtFj/XKc1z2rnjI50E7bMpYm7MXIx1BwXTVlLnY4xaE6mUCpqxaZIUP3STS6e8ff3lcfDtP9Ac0rE6IR+drQH318MAJgrBdbZu0/wgoYgTZyxYI9sOW8MDNuaM865wCw4z3E3UB5nQuTjz9bnIi+qF7tk/3/g/UUY87R7PoDFMAB6fNLS0Ne0r9MvOouqgdWmU6E7pSue/BhvzV6JhycsAQAUGiRTZeowwS/MsFwe4jqCXJqA9iXWRV3N5cqK+PhvCx2qadHq5ql0dY3fl4hyrtEqD5w4qQghHmWSQCfEda5jQR+1m7CBQ5A5JapN3O8tef5kTxATn3XRbq4SKhlmNjwU+Wytv284X2rvhrnyH+TzrMyTcGhB4ya8M7cRN734KT5bu8Ul9FYpnx+M6B1iit9Ed1RXsxRR6InWdVuaXaEpdnZMKJz73luISYqY6LqgaHKsIlP8QriadGoqTVysC+JpXRnxydHcytuv7IPj9u6dO+/ny24y37N683b85vmZHi1b3NUrF0cl4SX4FSHEo5hT6kO6+QVpPcMbuud+B5lTdARpzX454JVRLguT+iHHkYmCnzBSFd31z3r3pJQ18aCO45EJS1xp1m7e4RJCRFkzzb3vLcLo3491fcNDnKX+xcDPpBVVE09RNPOQeIns1XWjwnQB6EeWvEOIc92TiflPzve4eavxxKT8vELKpYn7P4eX4eFDeknL6/P4mQN1Z37/ymw8+P5ivDLjC9fxnCYuXJv0wrGKEOJR2kGQtiwTVMy//dqX8vfWaC6vXXGE9vo/f3MoDh3YXXse8BdqOt9fuYIM262r59ogQcLg3SdUxu8WYh52697BOaZOJ+YlaIT14vQV+ETwix7z9Cc+qeMJVjV+werQ9/Hzk9cp6d0CtuZLERX8PqbCI8ndnuQc6DqMgwZ0w53fGqa85tz7J2pXBes18exzjt4zu/BHLm/35Kvb/LNVmFzXVVFuSpRNJfyvf36wFJsdU1Gcnj8qKkSIe0syRf7TabVhNfGABtNOCLal0yb88mMyrDZZVSg/2qR+iI1UNQnHmN62eO+7WbcqP4ErFh1vPKrUDPIEVXCZiN4qsgeIN23hRvFPljXhjrfmhbrGT7vUveM5h/hPeBJRwfF8TC8PGlnG6fKsK49vH7obTt1/VwDB5shUCJv4VSfthQ+uOhY9OtVLoZDVv2VTkC6/uWiFUgPkf85ZmZ+7SnrD5coV4gE5D2vyCPTOEO6n0/L9Krto3jl/5ABlGv99Dt3/665RdUai9tOuNo0FN5/sOs+gf/+bXsoOwf1K8+mp+V1g/MqAMfdCDpMRlpgteZ5DFtrNMbWWuSvD7crCO6Y9enfSnpMJ6sDSqQjL3SVMrw8aqRUSB8T0FcRHBClUYvML0sRr0ins0qWdk1Y94er7OM2rk8berSpza06BWmCrNEPxUNiKF+SfId6vtkZ3b/0zj927N/buk11occI+u6CzRiPWwSuCR2hL18xTBNSSOx1Vo/Ub8mUyzHiCjqdTpc9q4t60fojvK7+HHDwsrtjfO1qC79O5Xf77cU188M5eIR4lZAS/Lkrjdy/bN7smyPSouo24gMyPbc2teNDZ8ccPsZyCNHHX4hxNmsB3EjVxn7Yf5D5rUsb3vLuw4A7Zj8oQ4ooa30NRicR0YSeUgj6GeD/dbL6uYd58+n6oTafwjeH98foVR+DwIT2Vaf2Xomf/l90X5WtULlsmoxI/7ac5kzEuT55s/ILVrmXSAA+AJZQdBWuL4umg94hj42nAzM//3BH50RR/J5ViobMBB5VmKg5zilB4ckhikaBvq+ocTVvX9pYMfvN88EJuseyCOmO3n7g6reqdxKQum7jP43RFw4+v3+qOBaO610PjF2Pm59E8fUyoECHu/vvCUQ246qS9fdOFDcoeJEzESqGbCNI9kTdkIsKQ3p21+fOruzwaoSp+eBDBmyP7az/NrWb7DgL5jnTDthZc+vBkxXl32qDsiw06KMRAXMNWEyHu8gJxsqVSNnQjwqBJXYronSIiftI9rn1Zmy7J1YQyulcScxAkxHVeJiKqeQqxjouP8GtD+s+UPfH7V+a4juq0+iRNKoUuuy8KcuM4f+QAtK9La/w7s4UV1pwSpPXUGAhxHcoAXsqU6kxMWbIuZzqQha2JtlaTSuGFHx2uXFoNOO5sPjdqac0Y++qL6WZ+3uQ6x5i8n2HIlbIBwqaQDXJF/LRWjsuc4tQHVfZ0HY+JOaXQdm9atsXcC1on5MQ2HuTNoZuUFFEpLoN65SNlm9rEdeYU3WS27l5JhqatEE3cXQAmE4thtYsgjVYUTtohsuZDqdKr0uoqwJl3jc+n8Qjx4IZamybs27cLTtm/j/J8/+4dfBsOY+YNXUwn75/IwFzvnUqFc7/yWxkJRF9hKBOkie/dZydcMnpg7m/eoFVFpDen+Bfo1uZWTFyo3g8zbsK64wLxh1oV601rgFlM7Kx17VYVCXHwzp1x7SnZEXzGoCMAgCWagHCifBHri3akkWBHWZFCXFfnTNzX5MPNrRk0bWnGVf8NDunK0drENelNFyuZCORImnjAyGH4gG6x7HYOSBNUrRnsLmg/jRu3u97bRNsUT6vcI0XisonvCLjPD48e7NrflW9CcNZB/T1payN4MgHZsvJb+WiC6XeLw5xy1kH9jNKZCLmgEZX4ncOYU4B8HRrxuzfxvhMzx6+cnp/2ufK4KLhd2xtqcmQSXygqlSHEpVxyzUEuGFGA6D6iLNzPunsChv72NUwWoqQFobWJa76TySo1ALjr7QV4beYXvmkWrZa8T0w0cZ/nt69N+7oYAtmGYtJZpFPkXhINoHuH/AT03JWb3D6+zEzQtGaym1a0ZBja1eqrbFyTR82tGd+NPeSGOqhXJyy+5RQcNKCbJ23Uic04MB2YxCHEg/zeObqvLY7QguqEOHoLcjGUEevfqwFtzQ+xo3HZ8JP1JlRSGULcUBMXk+kEqnx42mfrA58/1AlAz9F5Seh6W9WoQJW/mZ9v0G5Vxrn5JXeA/qiaeM9O9bl8ZDIscLWoyQSqaiGS5yohTYYxo/wPuvolXP7YVLS0ZtCuNq1d7fjbF+IJZ9/cmgkV74J/X9U31SoTRTBEm240bSrEH7zoYOEv9zWm6zJ09UhsI0ft6b8D2ABnVTCgl5naNioc5ms3okw6ipq4X+hdVZq4qUghrrPhiemixCA3JbQmHjHWigkmlUP1/Fd/OhqvX3FE1qQRcJ8z/j7eaJKNnHuJyI1W9kIIyv/jE5cAAF6Z+QVaMgw1KTKeZI3KjpaM0laviowH5IWgurOOpx6a7NouY9oPmQpx0Ywo5990sl+riQu/v3ZAX98QFd0E9+IwNnHA/Y24SewRJ+pjGESTjjji0eUnrjUMKipDiEu51AW3MqmLcdimwg4/1RUqHkFkFgDL+/weneoxpHfnnIeI332Wr99q1FmkyFtZ5atc7mEseHXeqzNX5n63tGZjryStw65o2qbstPbaJRvArI+zApDD64OuXrx35dH47pG7u46FfYt9+4YX4pMWeSMWqjCtzyN271HwPXRSXK6iQZs65G6n807RjoDyvzu1i+6c1yJIbrHD11XnJOOnVIYQl7p9LsTlCRATN54drRm8PSfklknSBwirWZvaxMOy93WvGAWc98svUfb1gjQFI5s4EW4/Z5jvdaLwahU6j84GDSqriZeuyv7fCXvgX5eNcEW0BPLKg+4z9+/eAZ2kPR/DauJJ+nKbuuOmU4SvDt0VVxy3h+ecafZ0yoA8YjE1P+iEo+6VRBmh2lZPhUrRECe/TbTsJFfeV6QQ5zbendrJDcOsJl344IcF5Ue/gEOd3tQmHpatza1Yu3lHYDq/oS4RgTHmqohXnrinJ91WxQbJMqkUYVAvaem5bE4h5CYnsyOA7PmGHh0RREsmU5Bp6uuGHhQqduveAcMHdFNqo7mgXz4fVbaBh5XJSfoZh+kgbj9nGH5y3BDFbjhm99BtkOCNzmmWH5Ode3Q0btyOhjEvBqZrzmQwfoF7r9MWjU1cR9Uvuxc/1OnD+uZ+P/ydQ1zpirVoQTcpFcZPPIjtLa24f9wiV2VRYbLAxW/SKUXZEa6o0aj8dIPc7gC1mUtlTnntp0cCyDZU3gBMJvq4TTwqpkN0Fe/84ih01uxPaRah0l0SXTvU+U7gvf3zo1x/J7pHY4R7y69s2sm0aFxm5KtNhZ7OHGcygTr7CzNvpuZWlttqjdOi0cT1E5tGj4pERQjxXp3r0b97dvfwboLLWn9hlhrQV6QDFTG2o8Bv36V9tjHLi2d01TjsphZ7XvsyzrtvEm544VM88aH/JrtBCyMA/8Uc5ARaEu+jcrcM6kwA4EfHDPEck9sSgdCxPjuMzWQYvnVvdiNgEznS2po1p0RVSlNE+MNZ+xunv/yoQbnffpqmSX52ap/vADrWpXHmgf1wxoH6kUFDz44uN0exDnXrUIuxkpAvhDjm3U1NMjpffrntmk4Eaned16SXXVxNyK5Ydh8TI2aa3KbqvVMA4KJRAwH4F4ZOW7lgVAN6djKLuuYHv3vndjWYfcOJ+MUJbrNDoX7inO0tmdwONhu3qbeT47xi4OvqF1s9xW3iQrmqbIUmGv8Foxo8x2Q3N6L8d2puzeTCCZhoci0hAnGpIMovzDGha8DGDRwx7z85dgie/v4oT5pvCX7UFx8+EOkUBWubwmnxGbt0aY+BPYPNT6bEoeWbdqy6kAZyFkxDKAzaWV0OuqIVn7PDcENzlQnIvUqTKX+LWCGOfEWTC+M3X83vuKOrSIVWUv5Ero2lidCuNu25b6F+4knhH3MkGy1P1Hx+cpxXo/7Dq3M8x0xQjZ55OYrbhZl8opYMc0xD0QqvJk3o0akeb//8KOwqeZioCBt+FwCuOH4PzaKfFEY69nRT+7HYAca1+U4vad9NIJq93bPQzrCNbdcITrlMTDVxvpGEjMkEqrjhiB8tmYznfV2rRg2yWtYTm0SUJqKPiOiFODKkg9cR+eOK2p9+F45ojf7Hxwx2/c3vwiusR4jrNHFV7BRDQfTiJ94d4cPit+w++wruic2OdTWx2WDlupsiUt7b5Bs1t3JNPHyLaF+bxjeGZ5fFN/TsiDd/dlTgNeZC3CwP3KoVpTqqzBXP/uAwXH3yXqHuIwaByt07wreWNWVTc4pOE5cvv/VMc7OXCl0nID5nqyTEzxDm20RaWhle+9Q94g27g325a+I/AaDegTVG9nI2GVZpOZyg2L9hOVbYHRvIVwBeYU3NJIVMxsWxlDzIxTCT8e7+HddAwbPYh9Tfw0SQLF+31RWzJAyzbjjR5TkTFEwLMK83xhEenVI17cDFolNpukP7d8VlRwzyHA/KwxOXjnAdizKxuV9f96bfhfb5coc5eOdOuO0bQyPfT2eOEZ+zYavb40pXDmPnrMIbs9xuyas3bc/9NpHP785tTMxDpSAhTkT9AJwC4L54sqPn4IbuGPfLo30ng/RBrwo0pzhlzxsf36pN/uj6iU1vMSdpTjntgF1xg7Cxsy5gF+AEoQJzDQ/TKe/Ky7ggqL+Tida7eM0WTFi4BnF1MTeetq/veVPhZi7sw6UXv0EhW6SJTFi4BiMHud0ko4xU7/jWgXjysnxnUGgbU5VJ2Hydc8hu+O4Ru/umEe+4VIpQqCvj65+d6XtP10bLmjT3vrcI97630Pc+USlUE/8LgCsBJLwVaJZ+3Tr4nvf30y68EfCPxTVrz0fX2eSLaQAH8PXh/XHeyIbc334jAUJ2hl+c2IzTnS3DWC5OC5Bt7Oo9U82eOWpQD8QVZWjUIP0KRCCaTdwE0+RMGh0lRRTvlE71Na5RcaFVRvV+pu/M6+tZB/XDD44ZjHMO2U05yQ74r5yMuo7MVMHeu89OwYkiEFmIE9GpAFYxxnwjNhHRZUQ0mYgmNzY2Rn2cEbwx/fDowdJxb1qTiRO5EvGPlYuVYTixmVbaxJNDFtp+NvHsYh+3v212FWc8gpIxt596VhP3pjMVAqcdoLZbRiHITinuV+lHeCFuOrHpvka1ETNQuAstr8dH7OEfeEpG7OwLrS2qMjEt19k3nIjZN5yIgwZ0w07tavG7M/bThi3W+ZWPHtIz8twZA7BpewuWr/evLx3qktmDpxBN/DAAXyWixQD+BeAYIvqnnIgxdg9jbDhjbHivXuEqSVj4RzhscE/Pce6bzBl09UuB95Pb+NUnZwPK81gksrCMy8WwUGSh7WdO4QJbtCGmiXDSvuoNJMLC4LbJiy6GImGWfsdlWgzyMFu3eQf+ddkI/OWbB/imI8NWJAuJQA9D6fy1p+zjHHefePTiQ80yoIGXfdhqKgreQr+J6tGmQrU2nUI7wyX0Olv56CE9I49AGWP47qOTcdgtb/mmS0oORBbijLGrGGP9GGMNAM4G8BZj7NzYchYB/s09q8lShPsvONh7QQD77LoTvvyl3vi9s0DkO4cPxOJbTtF7pwC45PCBnvuEiW4XB7LQ9pvYVEUxTBHhzz6Cq1+39sZ5YUyOd6KOQigea+ihN5vVpKPtAq8iKF5LhjGM2L0HTtN4LXBMhQ0PkRBV49Nd1rG+Bq9fcUSkewL5+lHI0v6gDTtETH3ck5B5uhF4SmPmM4EBeH9+8C5MSa26rRg/cRP4R5DbeIqys93HhljoAWR7+H+cN1xry5I/OhHhmlO8GzgXcyNawCu0/ZbdE2WFlVi5UynSborw+hVH4KWfjDbOC5Oer5+3EH/7dzpxsWvX9njhR4drz5sulTb9vNOXNwGAUdAyGcaYr1dL947RF7OlfDTxvXbJbuwdtHNP+7o0/v3dkUbP66DwDFKVdRIx13WaeHZDk6iauFm6pOLfxGKkYYy9DeDtOO5VCLqJCf7dTHaKH7xzp9wqwiCUy+kVHyrpic0eHeuwX78ueHtOds5BDnjl55aXouxiH9Fn1q/t9OvWIdA9L2uiyf5mzL3sX+/BEyzogeyQtEv7Wqzb4r+SlTNk507YuE0fvMsvxKvppgphGyfvMMNcFrTPaRwCQq67/7psBA7o3xUTFq7B0XsGK0BitetYl8bmHerOKh8wTKwn3rKeGmK3LVN0NvF0igpYUJW/p194iqT2FWhTmrhOWPKClb+f6nv++RsHYPiAbrjmZK9GLRN2kYdI3HL9rm8flPsta95+Q11Cdh/BhY2bc8d4I7v1zP286Q3y7Y5PwTw28aBr/ARSOkUYc5L5ApfX/+9IfHD1scbpRUw1rLDfUmcOumDkAO2oLcPgOxseR32S2w8BaFebNhLggPQNfRpHXvPPp1FpyMsCJgqjoPNOSRF58vzXsw8wuqd4S91iJv6MJGhTQlxnZ+YFKzcelX2MCHjq+6NwaYC/KX+eGA5Xv8tIspo4Q3Y429kR1nxik+8G4xe9T1VkvLL13sm7NN2kHopJGNwTOtpVtaaaeJpw4r59cNoB6uXWcZKUi6HOTFNfm8aUa4/DpGu8nU4mwJxSyFYZOf91SRqErbeunbV80uV3Qsofa1ZosOeNGBDq+SaEMacM2bmz0T3FO/rFY7E2cQN4GcnD4Gbnw8kyVqURhW2Qn/z6yzl7pEnkNE6SFhauid93wcH493dH+m766+faFXVRjhwprsZnWy+OOHggEO47fzi+Mdxrh+ULpwrZlcWUqwyXtIetMzoNnzGGrh3qsHNnb+fJ4D/yU3nIjB7SE7soOmKRbh1q84vZPHM8vpd6cH13n3RcmInloIpuuHuMQb449RqbSYq8IxHzfUPzv7c3+5hTrBA3R25UeXOKmSYeFRN7bxLwEQB/G+4C2atzPQ7x2asQgNL+77dnpInAEpNkGJP8xNXXiwKECDhun9646LCBnnS8IZjEBn/mcm80wTCIi5T8MP28fLONSD74jPmHw1Uce/TiQ3MhnHW8/fOjc79VE/VB1KQIhw3OLppytS+fV+TCUkzv2UwEybSbU/bvg7MP7u/xiVeZU/zWV4iISqOfJp7U5thtSojzDSPkHrxZJ8Rj0MTF++oqvcpWn8ROkdxlziQuiB+8rqnqnEmuZU3cFXbAOXXT6e4l7+J9+fUqzYU37HYGMVSG7dbNILeFY+oumvOe0pz3k+0M/gqGrt4G9RddhHC7suJp0hbm33wyHrsku/xeNFVce6p+TonPkfDk547YDbsp3EqT2IqvY30Nbjlzf09o6qw5RX5+eE3czyaelIND8mPSInLuiAE455DdPD3owJ7ZXl5WvCcv9m4kG6Wz/ONZQ/Gn1+fmNovw3LMINnEAePzSERg3f7XxwgcdOaGkEuKaV/nK0LyNWn5dMRQu5Y5JDVS4RrciFsg3rHpni7fRQ3qiviblClD0zOWjQvktF4ucuU8jWf3kbYYx4Xrved13CaPzm8YC0iGObM86qD927doe590/yfscKbO6vS5VK53jQhao6RR5jvmZIUXE76Gy7YvPSII2pYkTkXIIxE0KsnuRyvUsyiKc4/bpjZd/MjrUR4qzU+a3GtizY6yTQWEWKak0aUDlnZL9/ekKd3RGt3dK9n8TTTxFhO8f5Y7kt0fvzhjS22xSqpikcmaE7N9yWfrVn+w14Sc2w5huvOYU40sBuN3rUgSMGtQTP5LCOQPe99Rp/Em65srPTKcU5hRTTVzoKv1C1FohHgNeP3FvmiKvy8nx+hVHhF6MxElq9WcY05KYVGwMnzdtwxbBX5ifkeNMuMrdZ2KVD7H5aKNV4XsXtrGceWA/HNxQHNMLoHcx9BfiTLsiWXcMMNPEeZpC675oxiPKxo3/2QneTbdNbe9JTv5v2u5W4NLk3WnJ2CZuqolbF8PCkc0p6sZQHCkuP2VI784u+2Qh94qLqI1aLsIJC9Z4zskRBFWmKNXiCC7o1m3JLmEfN3+1J03YT/inbwzFf75X2CSoCbxuyTKc22dH7K6PqpjJMO2K5Oy91dfpFPGrT94LX/6SO15+oX7MpnMQpjGHknQImLtyo+vvHa0ZjxZt6p0i4ivE7WKf8IzYvbsrXKbc037RtM1zjem2UEkQd0yNQonrvimFTfzsg3dzpTlREXBLpblwwb5B2HtU1myTWlRRKHKuuHlv1KCe+OTXJ+BInyiCrRn/zlprTtGkv+yIQfjHecPd9yhSuflMh7gQv//lR4Xb/CIIPqfCWbpmCxat3uw6Zjqx6nIx9JnYtC6GEfjXZSNdm9bK8vl3L8/2XBPnNkp9u+rdu9T+2bE9OhaiNmr5qva16dymw1ygy1qOMrKhz7FLR+cXY8k+xoUWY79u7Y06ML9dplTwe3JlgisMNSnCTu38R2GiOUWFtu6EqM+y9SAuDyqvJ5LZfcXO/4Qv7RJLXnL3lgqzlTFs2eE2sRj7ibts4nohXm84URqW8pvCj8AhA7tj0iKvp4mMiYBWLTqIyvM/OhxrN29XnlNVD7/Kfcawvnj+k881Eyelt4n7UZtO4eyD++POsfNz9/RObnmvU2lCXJvhPtzH7rVz7Jr4098fhV4GPuKPX3ootvks7pDhueK57dM1uxBnz12CJ2Gz3imOOUWhX4sd7i9P3CsXuCqUd0qxTInk/7eKuBUc+V0zGeaJx0NEuOqkvZTKnutal01cX+JJjXTahBC/9cz9MU+ycakwMZWodgOPSveOdaGiy/mN3kStZM/enTFHeN+kNPgwt3XPS7qvrK9JeXzP5TTq3X68zxGF/0fXHY+O9TX4YKE7DGihbYXIzC20viYdas9P+Z1HDeqJp78/CsP6dw28NqjuitkVvXVkveW6U/fxXMsX2piGiA2LnAceoC2dIrRm/MMJcOLuYOTPO2JQDxw2uCeuema6K47QifvuEijEmTNKYqw05tg2IcQH9uxoVAFNRpZxCvGw+PXU2dlz57dUA/kkX9xErY7yW9SkydfjRD7Of6k18fyxbk4HKWvihWo8SSzEEhGza2qSCTKn6N5Z1tpVuwNdNKoBQ/t1KSicrR+HSquGLxk9EB3q0ujUrgb/eMds38m4hbjchoYP6I66mhTe+tlRaBjzYqjn3vHW/Ng2KolCm7aJywSZU0bs7r9E3ZRbztgP/7pshG+asEaRVCq/ebFcAVVLluOEB9LyI0hwNjkdzUdL12uu9x4L0sQ5cTegpEY2utg+JrQK3ilhyEjWHlUHlUoRhjd0T8wbZEjvzlh8yym5AG07tavFTafvh47OdmUmrxV33kx99E1GZG/NXqU9VwwLVZvQxE0JEuIPXXRILM85+5DdAtOEDb6VTmU1mvEL1ig2fSivvlh+DcaAKUuzsaHnaMxeqldXaeKqxhbnZHQ2L8m6+0QZcWdYNIHgnS/Qp41D2+3SvhZNW9Wx3mUlJMxnSxHwx68PxcCe/pulmyK/qVguZx3UL+cC61del44eiHvfW+T7nBSR7+bMcVBlQtz/fDF34Am70ChNhHvOH47l67bi6memu69LKN+xbZYMFmqhg9/iE/VGHBEzpiHpOYYoxZoxtB3LcK8gbn/2u0Uc9f+N/ztSL8SdF4/ynFSKAncXCoP8CcSO+49fH5p/rqZynbp/H4we0stAiAPh93EKR3mpcAnj5/4DJL8Dj4g4pOYxGvw0wFSK0Km+RunJkJT/Ke/0UikKOVcgz/xH62hU5aF61yP32BnfNYj/bvzchGzihVQvUZsL0wnccc6B+M1Xv4TBjsnN793iqEe9Otdj8M5q8x6vT1FGjqXy/RefO1SYgE6nyDC2fvL5riohrtrEWCTpQFUi919wMM4bMQDTrj8BU687HoB/Ixc7GFlDTqrz4c8hZDWsCVcdY3SdKjtBeTSt7Drf8asMdmIyJvFqEF4Vjzoo6tW5HheMasgpDb7mFMOVlFHhHZHsf23ymNjruGF5ikUyrH9XPH7JoQCy8XmM6mwRREpVCfELDxuIBTefXOpsAMhWghtO2xddOtTmIu4FbUumI4GInQAETZyy+1r26WK+y737Psy3gxw9pKfSa0JFMUxeyZlTwtuCc9dSPEI1yAMqSfgKVa6Jh5ngjV+Gmz1brG8pIowa3BNPXjYC3ztyUOhdrpKiqoQ4UPyd58MQ5J3CkatfUu/EJ8XCDmXl1Iz5C4ifn7Cn8WRiUqYjkaQmNrkGahriVCSuHPmu+hTKtq4mFbvfODdHeMwpBuWd1GrHIMS6wIvn0N17ZM0pBtfztnP8Pr0DUkanqiY2yx3/zWX116UTUsVzGmOBEoSB+Y4WZG8bv8cVI75HUk/46gG7Yu7KjfjRsUNCXbdb9w745Ul7KUMnm8Jyoyp9GlEZmHvjSZGfpeOBCw/G4tWbI3mnhFlUZYLps8Xy8lQ9Q9fI9648OtH1J1WniZczfo3UT5NNKna+iR1VhZzVDMv7K8vRC4G8K+ENX/sSgNKPlpKaRKuvSeOaU/YJjJMic9e5B0Y2ZXkpnTmlS/ta1+Qgx+SpcsCqYiHWRc8epIbdff/uHQreqMWPyCVDRP2JaCwRfUpEM4noJ3FmrBp5ZcYK7TmXOUXSIuIQevv23clzjAuOwwf3DHUvuXIzlp/U+rFCC+Wa+B7ORg6ltniVWxDEODs138nzIhd8mKmBUplT/Dp0k3oSl5uuH4WYU1oA/IwxNpWIOgOYQkSvM8Y+jSlvReOG0/ZFp/rkekpTfCc2fbxTCtEcT92/D174ZIVSCxvYsyPeH3MM+vjsmH5IQ3dMUmxzJ8IYy01qqQSFvPlx/27eBR379t0JM5Zv8BxPgnIT4vL3jSIW8r730SbPk8RogjDmj2JahuJj5XZXLtUkcvfGGFvBGJvq/N4IYBaAvnFlLEn+/M2hrr+H9uuC04fFt5AgKqaTTrtLy+wLWbF54agGz/1F+nZt72urP/uQ/p5j3ih1+VVrKiHChce+fbvgb986EDdKoUuBbFjhiVcfq81HnBTDtzcMuaBhMdzLd/K82K9dyoAjhojKjXdTmfKoJ7GMUYioAcAwABMV5y4joslENLmxsTGOxxVM1w7uQD/ls4mAmZYkx2c+eT/vhgqm8KhraSJcOKoh8iy637CRCAGaeL4anrJ/H3So8w4QO9XXoLfPiCBOyqY6OHj25oxwD35NlCBaSVNunaaIe79Y9zkjc0rM+VFRsHcKEXUC8DSAnzLGPONdxtg9AO4BgOHDh5dF1yvvtF5ujVaFqBGIQm7eTScVpIkP7JV1Izt3xACcNiz8QEpVdqpJfK6J++3WUy6UT6eeheeHrzj22/uxTxf/jq6cBGYphYGprdplTkF4c0oxSrsgIU5EtcgK8McYY/+NJ0vJM2pQD7SvTWNrczaqQbk0WlNzikihwa927twOi285paB7BEGU30OzncLLoBi+32Eor9zk6yf3ajlwt67KdG/83xG5zTJkct6iAS938n674KtDd42SzdB0bpcVP906RttbthhQgZp4MUY3kYU4ZXN3P4BZjLHb4stS8qRShDd/diRG3fJW9u8yEeJ+lJmyGgoC4a9nD8NL01dgSG9v7JdSuxTKlFt14PnZrUcHPPfDw7DXLl5PIgAYvHPwDkFB7/b3bx8UNnuRuXDUQLSrTeNbBlE/4ybKKMAbLbM8KkohatxhAM4DcAwRfez8K4817QaIq+bKpdH6ZaPcBJ2MWL13SFtU7dKlHXp2qsf5IxuU15ZfKN3yKmvx2+/fr2ukFZ+ccjKn1NWkcP7IBl/zUDnh3Xwk+JqyNqcwxsahXLqiCIiCo8zlI4DiBucKg0oofOuQ/rj9rfm5v+89f7gnjUi5d1ClJo6RIrcBJxVnJyme+t7IshHyHu8Ug2uKoQ+UR+mUgLq0qImXvxApZpjcQrni+D3wwo8OB5BdpBG05LjcbOLlRpzFU06auAnDG7rjAIM9SMOyc4hl8NwbzGsTDy7LYsiWqhXiYjjMSrCJl3sexQpORLkJTBPbYyV0oqUkzlGYLeosN5++Xy7MQxD56JMRvFOsJp4c7hCTJcyIgN/OQ2VrTtFki/t+F2PZcVsnzg68PGtR8enRqR7naeZoZHjT8251F1yaZx6Y/CLCqo1i6A4xWR5V20/glYlZMMeAHh2wi8/iG+77HWU/SYubWM0p5VHVKwouH/xcDFV7i/7hrP2LIsTLTDSUhnKp2N061mnPlUtHw3nnF0fjye+O1J7nmnjcmxhXI9bcVGJymrh0WPgs0351gueyzu1qijKCrlpNXKRcBOQDFxyMI/4wttTZiIQsqrkm7ifDbz9nGD793D+o1feOHIR1m3cUmLvKJg7vHduVRievics28aDvUhy5YoU4ykcT79tNHzO60hRaObSBiq8O3TVwdeCYk/YyfuZxe++MKUvWGaevFOJV5sqkslcQOpt4kNwollyxQhzlo4n7NdZKM0uUIh7KfRccXPRnFoNyqZ/VCi9+uQX6fZd9++6EgwZ0Sy5TAlaIo3w0cT/bZ4XJcLuAJ0ZiEeIVVn/KCTmKJEf3Wfp3b48XfjQ64VzlsRObqAxNp9w1cdleyFfEtk9wW6pqwfaHpYVyQlx2MVSnL3ZTtZo4KsNKWK4iXDd6SKcI156yN47co1eRc9T2qAQloxrwfgX1d7FCvARUwtC/EhfNXDJ691JnIRT3XzAcs1YUZwu4MMTiplb+Vbxs4W3Ps1GyVKYXjmrAQ+MXFylXeaw5BeXlhzv1uuNx7Sl7e46XUx5VVF4X4+XYvXvjh8d4N3JuE7SFD1QiMrmtBd3H5RES36qw2AqX1cRRXpp49451yoBQtWUaUDynpZQ4HxYzylwXKDo3nubdz1Umk91QySO05aLkQeqK3V9aIY7ymzhSLVXfu496I4BSw/e9LNf8WSx+nDtiQGCaYc5OSvL+sx6hXqIe0gpxlN/EkTwL/smvT8htzVVujNi9B57+/kgM618cn1hLNDJ2xBSZ3Xt1wqzfnoj2dW5PK1lslGpEb4U4yk+IyyY1lQBPEbDPruWh/R40oHups2AJILdRdbkNOysEWYCrKFXMfyvEUX4V28QnfMHNFbMTnqUMuOqkvfGL/0zLmb8shSN7DeVWdloXw+JTZjLcKHxruXurWMqLk/frg5P361PqbLQpPBObKT6xWVwpbl0MUX4CsdxXZ1osFtXEZonyUZrHlgd81tlisVjCUi66X1WbUx69+FCs3ri91NnwcMGoBixbtwVPTPqs1FmxlJB0itBqt0YqW7gM58K8VJtQV7UQ71Rfg0715VcEnepr8Lsz9rdCvMp578qjsXpT+SkZliw6M2yxraEFmVOI6EQimkNE84loTFyZslgswK5d22P/fl1LnQ2LBlmGd+tYi64danH9V/Ypaj4iq6FElAbwNwDHA1gG4EMieo4x9mlcmat2Lh09EH266Hf7sVgspUOe2KyvSePj6717bSZNIbaEQwDMZ4wtBAAi+heArwGwQjwmrjmluD26xWIxp0zmNQsyp/QFIBptlznHXBDRZUQ0mYgmNzY2FvA4i8ViKR/yE5qlJXEXQ8bYPYyx4Yyx4b162Q0CLBZL26Bc1pcUIsSXA+gv/N3POWaxWCxtnjKR4QUJ8Q8BDCGigURUB+BsAM/Fky2LxWIpb8olcF7kiU3GWAsR/RDAqwDSAB5gjM2MLWcWi8VSxpSHCC9wsQ9j7CUAL8WUF4vFYqkYchObJdbIqzp2isVisUSlXMwpVohbLBZLBWOFuMVisRRAqeMvlV/0J4vFYqkA2tWmMeakvXDc3r2DEyeIFeIWi8USke8dOajUWbDmFIvFYqlkrBC3WCyWCsYKcYvFYqlgrBC3WCyWCsYKcYvFYqlgrBC3WCyWCsYKcYvFYqlgrBC3WCyWCoYYY8V7GFEjgCURL+8JYHWM2akE7DtXB/adq4NC3nkAY0y5NVpRhXghENFkxtjwUuejmNh3rg7sO1cHSb2zNadYLBZLBWOFuMVisVQwlSTE7yl1BkqAfefqwL5zdZDIO1eMTdxisVgsXipJE7dYLBaLhBXiFovFUsFUhBAnohOJaA4RzSeiMaXOT1SIqD8RjSWiT4loJhH9xDnenYheJ6J5zv/dnONERLc77/0JER0o3OsCJ/08IrqgVO9kChGliegjInrB+XsgEU103u1JIqpzjtc7f893zjcI97jKOT6HiL5colcxgoi6EtFTRDSbiGYR0ci2/p2J6AqnXs8goieIqF1b+85E9AARrSKiGcKx2L4rER1ERNOda24nMtiNmTFW1v8ApAEsALA7gDoA0wDsU+p8RXyXPgAOdH53BjAXwD4Afg9gjHN8DIBbnd8nA3gZAAEYAWCic7w7gIXO/92c391K/X4B7/5/AB4H8ILz978BnO38vhvA953flwO42/l9NoAnnd/7ON++HsBAp06kS/1ePu/7MIBLnN91ALq25e8MoC+ARQDaC9/3wrb2nQEcAeBAADOEY7F9VwCTnLTkXHtSYJ5KXSgGhTYSwKvC31cBuKrU+Yrp3Z4FcDyAOQD6OMf6AJjj/P4HgHOE9HOc8+cA+Idw3JWu3P4B6AfgTQDHAHjBqaCrAdTI3xjAqwBGOr9rnHQkf3cxXbn9A9DFEWgkHW+z39kR4p85gqnG+c5fbovfGUCDJMRj+a7OudnCcVc63b9KMKfwysFZ5hyraJzh4zAAEwH0ZoytcE59AYDvvKp790ork78AuBJAxvm7B4D1jLEW528x/7l3c843Oekr6Z0HAmgE8KBjQrqPiDqiDX9nxthyAH8EsBTACmS/2xS07e/Mieu79nV+y8d9qQQh3uYgok4AngbwU8bYBvEcy3bBbcbvk4hOBbCKMTal1HkpIjXIDrnvYowNA7AZ2WF2jjb4nbsB+BqyHdiuADoCOLGkmSoBpfiulSDElwPoL/zdzzlWkRBRLbIC/DHG2H+dwyuJqI9zvg+AVc5x3btXUpkcBuCrRLQYwL+QNan8FUBXIqpx0oj5z72bc74LgDWorHdeBmAZY2yi8/dTyAr1tvydjwOwiDHWyBhrBvBfZL99W/7OnLi+63Lnt3zcl0oQ4h8CGOLMctchOwnyXInzFAlnpvl+ALMYY7cJp54DwGeoL0DWVs6Pn+/Mco8A0OQM214FcAIRdXM0oBOcY2UHY+wqxlg/xlgDst/uLcbYtwGMBXCWk0x+Z14WZznpmXP8bMerYSCAIchOApUdjLEvAHxGRHs6h44F8Cna8HdG1owygog6OPWcv3Ob/c4CsXxX59wGIhrhlOH5wr30lHqSwHAi4WRkPTkWALim1Pkp4D0OR3ao9QmAj51/JyNrC3wTwDwAbwDo7qQnAH9z3ns6gOHCvb4DYL7z76JSv5vh+x+FvHfK7sg2zvkA/gOg3jnezvl7vnN+d+H6a5yymAODWfsSv+sBACY73/p/yHohtOnvDOA3AGYDmAHgUWQ9TNrUdwbwBLI2/2ZkR1wXx/ldAQx3ym8BgDshTY6r/tll9xaLxVLBVII5xWKxWCwarBC3WCyWCsYKcYvFYqlgrBC3WCyWCsYKcYvFYqlgrBC3WCyWCsYKcYvFYqlg/h8Nt2E/3DB5MwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate(spectrum)\n", "plt.plot(lc.counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (iii) Using pre-defined models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of the pre-defined spectrum models can also be used to simulate a light curve. In this case, model name and model parameters (as list iterable) need to be passed as function arguments.\n", "\n", "To read more about the models and what the different parameters mean, see `models` notebook." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate('generalized_lorentzian', [1.5, .2, 1.2, 1.4])\n", "plt.plot(lc.counts[1:400])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.simulate('smoothbknpo', [.6, 0.9, .2, 4])\n", "plt.plot(lc.counts[1:400])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (iv) Using impulse response" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before simulating a light curve through this approach, an appropriate impulse response needs to be constructed. There\n", "are two helper functions available for that purpose. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`simple_ir()` allows to define an impulse response of constant height. It takes in starting time, width and intensity as arguments, all of whom are set by default." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "s_ir = sim.simple_ir(10, 5, 0.1)\n", "plt.plot(s_ir)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "A more realistic impulse response mimicking black hole dynamics can be created using `relativistic_ir()`. Its arguments are: primary peak time, secondary peak time, end time, primary peak value, secondary peak value, rise slope and decay slope. These paramaters are set to appropriate values by default." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r_ir = sim.relativistic_ir()\n", "r_ir = sim.relativistic_ir(t1=3, t2=4, t3=10, p1=1, p2=1.4, rise=0.6, decay=0.1)\n", "plt.plot(r_ir)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Now, that the impulse response is ready, `simulate()` method can be called to produce a light curve." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "lc_new = sim.simulate(sample, r_ir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since, the new light curve is produced by the convolution of original light curve and impulse response, its length is truncated by default for ease of analysis. This can be changed, however, by supplying an additional parameter `full`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "lc_new = sim.simulate(sample, r_ir, 'full')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, some times, we do not need to include lag delay portion in the output light curve. This can be done by changing the final function parameter to `filtered`." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "lc_new = sim.simulate(sample, r_ir, 'filtered')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To learn more about what the lags look like in practice, head to the `lag analysis` notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Channel Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we demonstrate simulator's functionality to simulate light curves independently for each channel. This is useful, for example, when dealing with energy dependent impulse responses where you can create a new channel for each energy range and simulate.\n", "\n", "In practical situations, different channels may have different impulse responses and hence, would react differently to incoming light curves. To account for this, there is an option to simulate light curves and add them to corresponding energy channels." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.simulate_channel('3.5-4.5', 2)\n", "sim.count_channels()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above command assigns a `light curve` of random-walk distribution to energy channel of range 3.5-4.5. Notice, that `simulate_channel()` has the same parameters as `simulate()` with the exception of first parameter that describes the energy range of channel.\n", "\n", "To get a `light curve` belonging to a specific channel, `get_channel()` is used." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lc = sim.get_channel('3.5-4.5')\n", "plt.plot(lc.counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A specific energy channel can also be deleted." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.delete_channel('3.5-4.5')\n", "sim.count_channels()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, if there are multiple channels that need to be added or deleted, this can be done by a single command." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "sim.simulate_channel('3.5-4.5', 1)\n", "sim.simulate_channel('4.5-5.5', 'smoothbknpo', [.6, 0.9, .2, 4])" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.count_channels()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "sim.get_channels(['3.5-4.5', '4.5-5.5'])\n", "sim.delete_channels(['3.5-4.5', '4.5-5.5'])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.count_channels()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Reading/Writing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulator object can be saved or retrieved at any time using `pickle`." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "sim.write('data.pickle')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.read('data.pickle')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 1 }