diff --git a/notebooks/check_IMRPv2_NRT.ipynb b/notebooks/check_IMRPv2_NRT.ipynb new file mode 100644 index 00000000..272836cf --- /dev/null +++ b/notebooks/check_IMRPv2_NRT.ipynb @@ -0,0 +1,476 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + } + ], + "source": [ + "# Useful if on a multiGPU machine to only use on GPU\n", + "# otherwise you can comment this out \n", + "\n", + "import os \n", + "\n", + "dev = '0'\n", + "\n", + "os.environ[\"OMP_NUM_THREADS\"] = str(1)\n", + "os.system(\"OMP_NUM_THREADS=1\")\n", + "os.system(\"CUDA_VISIBLE_DEVICES=\" + dev)\n", + "os.environ[\"CUDA_VISIBLE_DEVICES\"] = dev\n", + "os.system(\"echo $CUDA_VISIBLE_DEVICES\")\n", + "\n", + "os.environ[\"XLA_FLAGS\"] = '--xla_force_host_platform_device_count=1'" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/work/nihargupte/environments/micromamba/envs/dingo-devel-bns/lib/python3.9/site-packages/lalsimulation/lalsimulation.py:8: UserWarning: Wswiglal-redir-stdio:\n", + "\n", + "SWIGLAL standard output/error redirection is enabled in IPython.\n", + "This may lead to performance penalties. To disable locally, use:\n", + "\n", + "with lal.no_swig_redirect_standard_output_error():\n", + " ...\n", + "\n", + "To disable globally, use:\n", + "\n", + "lal.swig_redirect_standard_output_error(False)\n", + "\n", + "Note however that this will likely lead to error messages from\n", + "LAL functions being either misdirected or lost when called from\n", + "Jupyter notebooks.\n", + "\n", + "To suppress this warning, use:\n", + "\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\", \"Wswiglal-redir-stdio\")\n", + "import lal\n", + "\n", + " import lal\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "gpu\n" + ] + } + ], + "source": [ + "import jax\n", + "import numpy as np\n", + "import lalsimulation as LS \n", + "import lal \n", + "import matplotlib.pyplot as plt\n", + "\n", + "from ripplegw.waveforms import IMRPhenomPv2_NRTidal, IMRPhenomD_NRTidalv2\n", + "from ripplegw.waveforms.IMRPhenom_tidal_utils import get_kappa\n", + "\n", + "# check GPU is being used\n", + "from jax.lib import xla_bridge\n", + "\n", + "print(xla_bridge.get_backend().platform)\n", + "\n", + "# enbale 64 bit precision\n", + "# jax.config.update(\"jax_enable_x64\", True)\n", + "\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# comparing the lal IMRPhenomPv2_NRTidal to my jaxxed implementation \n", + "# use LALSimIMRPhenomP.c ln 949\n", + "# XLALSimNRTunedTidesFDTidalPhaseFrequencySeries\n", + "# LALSimNRTunedTides.c ln 364\n", + "# input parameters\n", + "\n", + "fs = np.arange(20.0, 1024.0, 0.125, dtype=np.float32)\n", + "m1 = 40.0\n", + "m2 = 25.0\n", + "lambda1 = 100\n", + "lambda2 = 10\n", + "\n", + "# intermediate variables\n", + "total_mass = m1 + m2\n", + "q = m1 / m2\n", + "m1_SI, m2_SI = m1 * lal.MSUN_SI, m2 * lal.MSUN_SI\n", + "\n", + "# defining output arrays\n", + "phi_array = lal.CreateREAL8Vector(len(fs))\n", + "amp_array = lal.CreateREAL8Vector(len(fs))\n", + "planck_taper_array = lal.CreateREAL8Vector(len(fs))\n", + "frequency_array = lal.CreateREAL8Vector(len(fs))\n", + "frequency_array.data = fs\n", + "nr_tidal_version = LS.NRTidal_V" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Testing kappa2T \n", + "jax_kappa2T = get_kappa([m1, m2, 0, 0, lambda1, lambda2])\n", + "kappa2T = LS.SimNRTunedTidesComputeKappa2T(m1_SI, m2_SI, lambda1, lambda2)\n", + "\n", + "jax_fHz_mrg = IMRPhenomD_NRTidalv2._get_merger_frequency([m1, m2, 0, 0, 0, 0], jax_kappa2T)\n", + "fHz_mrg = LS.SimNRTunedTidesMergerFrequency(total_mass, kappa2T, q)\n", + "\n", + "assert np.allclose(jax_kappa2T, kappa2T)\n", + "assert np.allclose(jax_fHz_mrg, fHz_mrg)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkcAAAHLCAYAAADC2TzJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABqTElEQVR4nO3deVwV9f7H8dc5h31fBVRExF1UXNLwulUmpXWzxcrKpcyy2+ZSadnibdHSullamS1attlqtzKTn2abZu7iguYKiqAogrJzzvz+MM+VRAUEBvT9fDzmAWfme77znoPBp5nvfMdiGIaBiIiIiABgNTuAiIiISG2i4khERETkJCqORERERE6i4khERETkJCqORERERE6i4khERETkJCqORERERE6i4khERETkJCqORERERE6i4kjkAta7d2969+591nZLly7FYrGwdOnSCu9j4sSJWCyWioc7S5bPP/+8yvqUqmOxWJg4caLZMUTOiYojEZPMmTMHi8WCh4cH+/btO2V77969iY2NLbWucePGWCwW5+Lt7U2XLl14//33Adi9e3ep7Wdadu/eXROHKeehBQsWqACS85qL2QFELnSFhYU8//zzTJ8+vVzt4+LiGDt2LAD79+/n7bffZujQoRQWFnLLLbcwd+7cUu1feukl9u7dy8svv1xqfWhoKIsWLaqag5ALyoIFC3jttdfKLJDy8/NxcdGfFqnb9C9YxGRxcXG89dZbPProo9SvX/+s7Rs0aMBtt93mfD1s2DCaNGnCyy+/zIgRI0ptA/jkk0/Iyso6Zb2cP0pKSnA4HLi5uZ2yLTc3F29v7xrL4uHhUWP7EqkuuqwmYrLHHnsMu93O888/X6n3h4aG0rJlS3bs2FHh95Y15mjv3r0MGDAAb29v6tWrx+jRoyksLDzlvb/88gsDBw6kUaNGuLu7ExkZyejRo8nPz6/UcZy4jLh69Wq6deuGp6cn0dHRzJw5s8z2DoeD5557joYNG+Lh4cFll13G9u3bK5UxPT2d22+/nYYNG+Lu7k5ERATXXHPNKZcev//+e3r06IG3tze+vr7079+fTZs2lev4jhw5wujRo2ncuDHu7u40bNiQIUOGkJmZ6Wxz4MABhg8fTlhYGB4eHrRv35733nuvVD8nLp2++OKLTJs2jZiYGNzd3dm8ebNzfNfmzZu55ZZbCAwMpHv37s73fvDBB3Tq1AlPT0+CgoK4+eabSU1NPSXrihUr6NevH4GBgXh7e9OuXTteeeUV4Hgx/tprrwGUukx7QlljjtauXcuVV16Jn58fPj4+XHbZZfz++++l2py4zPzbb78xZswYQkND8fb25tprr+XgwYPl+oxFqorOHImYLDo6miFDhvDWW28xfvz4cp09OllJSQl79+4lMDDwnLPk5+dz2WWXkZKSwgMPPED9+vWZO3cuS5YsOaXtZ599Rl5eHvfccw/BwcH88ccfTJ8+nb179/LZZ59Vav9ZWVn069ePG2+8kUGDBvHpp59yzz334Obmxh133FGq7fPPP4/VauWhhx4iOzubKVOmcOutt7JixYoKZ7z++uvZtGkT999/P40bN+bAgQMkJiaSkpJC48aNAZg7dy5Dhw4lISGBF154gby8PN544w26d+/O2rVrne3KcuzYMXr06MGWLVu444476NixI5mZmfz3v/9l7969hISEkJ+fT+/evdm+fTv33Xcf0dHRfPbZZwwbNowjR47w4IMPlupz9uzZFBQUcNddd+Hu7k5QUJBz28CBA2nWrBmTJk3CMAwAnnvuOZ544gluvPFG7rzzTg4ePMj06dPp2bMna9euJSAgAIDExESuuuoqIiIiePDBBwkPD2fLli18++23PPjgg9x9992kpaWRmJh4yiXcsmzatIkePXrg5+fHI488gqurK2+++Sa9e/fmp59+omvXrqXa33///QQGBvLUU0+xe/dupk2bxn333ce8efPOui+RKmOIiClmz55tAMbKlSuNHTt2GC4uLsYDDzzg3N6rVy+jTZs2pd4TFRVl9O3b1zh48KBx8OBBIykpyRg8eLABGPfee2+Z++nfv78RFRVV5rZevXoZvXr1cr6eNm2aARiffvqpc11ubq7RtGlTAzB+/PFH5/q8vLxT+ps8ebJhsViMPXv2ONc99dRTRnl+1fTq1csAjJdeesm5rrCw0IiLizPq1atnFBUVGYZhGD/++KMBGK1atTIKCwudbV955RUDMJKSkiqUMSsrywCMqVOnnjbb0aNHjYCAAGPEiBGl1qenpxv+/v6nrP+7J5980gCML7/88pRtDofDMIz/ffYffPCBc1tRUZERHx9v+Pj4GDk5OYZhGMauXbsMwPDz8zMOHDhQqq8Tn/WgQYNKrd+9e7dhs9mM5557rtT6pKQkw8XFxbm+pKTEiI6ONqKiooysrKwycxqGYdx7772n/ZkCxlNPPeV8PWDAAMPNzc3YsWOHc11aWprh6+tr9OzZ07nuxH8Pffr0KbWv0aNHGzabzThy5EiZ+xOpDrqsJlILNGnShMGDBzNr1iz2799/xraLFi0iNDSU0NBQ2rZty9y5c7n99tuZOnXqOedYsGABERER3HDDDc51Xl5e3HXXXae09fT0dH6fm5tLZmYm3bp1wzAM1q5dW6n9u7i4cPfddztfu7m5cffdd3PgwAFWr15dqu3tt99eaoxNjx49ANi5c2eFMnp6euLm5sbSpUvJysoqM1diYiJHjhxh0KBBZGZmOhebzUbXrl358ccfz3hcX3zxBe3bt+faa689ZduJS1ILFiwgPDycQYMGObe5urrywAMPcOzYMX766adS77v++usJDQ0tc38jR44s9frLL7/E4XBw4403lsofHh5Os2bNnPnXrl3Lrl27GDVqlPNM0t9zVoTdbmfRokUMGDCAJk2aONdHRERwyy238Ouvv5KTk1PqPXfddVepffXo0QO73c6ePXsqvH+RylJxJFJLPP7445SUlJx17FHXrl1JTExk4cKFvPjiiwQEBJCVlVXmYNyK2rNnD02bNj3lD2GLFi1OaZuSksKwYcMICgrCx8eH0NBQevXqBUB2dnal9l+/fv1TBg83b94c4JTxP40aNSr1+sRlxZMLnPJkdHd354UXXuD7778nLCyMnj17MmXKFNLT0539/PnnnwBceumlzsL0xLJo0SIOHDhwxuPasWPHKdMy/N2ePXto1qwZVmvpX8utWrVybj9ZdHT0afv6+7Y///wTwzBo1qzZKfm3bNnizH9i3NrZspbXwYMHycvLK/PfT6tWrXA4HKeMeSrPz1WkumnMkUgt0aRJE2677TZmzZrF+PHjT9suJCSEPn36AJCQkEDLli256qqreOWVVxgzZkyNZLXb7Vx++eUcPnyYcePG0bJlS7y9vdm3bx/Dhg3D4XBUewabzVbmeuOvMTYVyThq1Ciuvvpq5s+fzw8//MATTzzB5MmTWbJkCR06dHC2nTt3LuHh4afs04xb108+K3a2bQ6HA4vFwvfff1/m5+bj41Pl+SrrbD9XkZqg4kikFnn88cf54IMPeOGFF8r9nv79+9OrVy8mTZrE3XfffU63bUdFRbFx40YMwyh19mjr1q2l2iUlJbFt2zbee+89hgwZ4lyfmJhY6X0DpKWlnXLr+bZt2wDOOOC5LBXNGBMTw9ixYxk7dix//vkncXFxvPTSS3zwwQfExMQAUK9ePWdhWhExMTFs3LjxjG2ioqLYsGEDDoej1Nmj5ORk5/bKiomJwTAMoqOjnWfiTtcOYOPGjWc8zvJeYgsNDcXLy+uUfz9w/LisViuRkZHl6kukJumymkgtEhMTw2233cabb75Z6rLO2YwbN45Dhw7x1ltvndP++/XrR1paWqlHc+Tl5TFr1qxS7U783/3J/zdvGIbzdu/KKikp4c0333S+Lioq4s033yQ0NJROnTpVqK/yZszLy6OgoKDUupiYGHx9fZ1TGCQkJODn58ekSZMoLi4+ZV9nu9X8+uuvZ/369Xz11VenbDuRr1+/fqSnp5e6K6ukpITp06fj4+PjvBxYGddddx02m41///vfp5yBMQyDQ4cOAdCxY0eio6OZNm0aR44cKTMn4Cxe/97m72w2G3379uXrr78udVk0IyODjz76iO7du+Pn51fp4xKpLjpzJFLLTJgwgblz57J161batGlTrvdceeWVxMbG8p///Id7770XV1fXSu17xIgRzJgxgyFDhrB69WoiIiKYO3cuXl5epdq1bNmSmJgYHnroIfbt24efnx9ffPHFOY8LqV+/Pi+88AK7d++mefPmzJs3j3Xr1jFr1qwKH1N5M27bto3LLruMG2+8kdatW+Pi4sJXX31FRkYGN998MwB+fn688cYbDB48mI4dO3LzzTcTGhpKSkoK3333Hf/4xz+YMWPGabM8/PDDfP755wwcOJA77riDTp06cfjwYf773/8yc+ZM2rdvz1133cWbb77JsGHDWL16NY0bN+bzzz/nt99+Y9q0afj6+lb8A/1LTEwMzz77LI8++ii7d+9mwIAB+Pr6smvXLr766ivuuusuHnroIaxWK2+88QZXX301cXFx3H777URERJCcnMymTZv44YcfAJyF6gMPPEBCQgI2m835Wf3ds88+S2JiIt27d+df//oXLi4uvPnmmxQWFjJlypRKH5NItTLhDjkRMUrfyv93Q4cONYAyb+Xv379/mf3NmTPHAIzZs2eXWl+RW/kNwzD27Nlj/POf/zS8vLyMkJAQ48EHHzQWLlx4yq38mzdvNvr06WP4+PgYISEhxogRI4z169efkqEit/K3adPGWLVqlREfH294eHgYUVFRxowZM0q1O3Er/2effVZq/Ylb3E/ed3kyZmZmGvfee6/RsmVLw9vb2/D39ze6du1aajqDk/edkJBg+Pv7Gx4eHkZMTIwxbNgwY9WqVWc9vkOHDhn33Xef0aBBA8PNzc1o2LChMXToUCMzM9PZJiMjw7j99tuNkJAQw83NzWjbtu0pP88Tx1nW1AMnPuuDBw+WmeGLL74wunfvbnh7exve3t5Gy5YtjXvvvdfYunVrqXa//vqrcfnllxu+vr6Gt7e30a5dO2P69OnO7SUlJcb9999vhIaGGhaLpdTPl7/dym8YhrFmzRojISHB8PHxMby8vIxLLrnEWLZsWak2p/vv4cTP++R/eyLVzWIYGuUmIubr3bs3mZmZZx2bIyJS3TTmSEREROQkKo5ERERETqLiSEREROQkGnMkIiIichKdORIRERE5iYojERERkZNoEsgKcjgcpKWl4evrW6mnVIuIiEjNMwyDo0ePUr9+/VMe8Px3Ko4qKC0tTc8CEhERqaNSU1Np2LDhGduoOKqgE1P4p6am6plAIiIidUROTg6RkZHlehSPiqMKOnEpzc/PT8WRiIhIHVOeITEakC0iIiJyEhVHIiIiIifRZTUREZEaZLfbKS4uNjvGecnNze2sd6KVh4ojERGRGmAYBunp6Rw5csTsKOctq9VKdHQ0bm5u59SPiiMREZEacKIwqlevHl5eXporr4qdmIdw//79NGrU6Jw+XxVHIiIi1cxutzsLo+DgYLPjnLdCQ0NJS0ujpKQEV1fXSvejAdkiIiLV7MQYIy8vL5OTnN9OXE6z2+3n1I+KIxERkRqiS2nVq6o+XxVHIiIiIie5YIuj1157jcaNG+Ph4UHXrl35448/zI4kIiIitcAFWRzNmzePMWPG8NRTT7FmzRrat29PQkICBw4cMDuaiIiImOyCLI7+85//MGLECG6//XZat27NzJkz8fLy4t133zU7moiIiJjsgruVv6ioiNWrV/Poo48611mtVvr06cPy5ctPaV9YWEhhYaHzdU5OTrXk2n7gKK9/tZhhWdMBC4bFgoHF+T1YWOvdgxV+fbFgwc9+mJszp2NgwbBYAQv8NRDNsFjZ5t2ZNQFXYLGAl+MYV6W/9ldf1r/aWZzvSfWOZWPw8bYujmIuTZuJBcBi/Wvf1uPNsZLp3YxtoZdzYshb/N63/7dviwULVgwLYLGR4xnJ7nqXYbVYsFottN77KVaLgcVqA4vt+Ffr8a+FnqFkhXXD9lfb0IzfsGHHYrVhsbpgsVmxWl2wWm04PPwoDmqJzWrBYgGPnF3YcGC12Y63sblgtVqx2lywuLhh9Q7BxWbF1WbBBQeuLi5YqmAGVRGRC1GrVq0YO3Ysd955p9lRqs0FVxxlZmZit9sJCwsrtT4sLIzk5ORT2k+ePJl///vf1Z4rO7+ELbvTaOe+6rRtfs8J5ofU9gA0smQwxf2n07bdeMjCFztjAQgli6c9vjtt293ph5mztSUAPuQxwePj07b9xn4x05OiAbDiYIzHrNO2TbR3ZHJxA+frre5TcLeUlNl2mb019xV7Ol+vc7+fAEtumW3XOppybdHT/3uv+33Utxwus22yI5Iril5wvv4/t4doak2j2LBRwl+LxQU7NtIsYdzn+QIuNguuVivj8v9DA0caDosLDosLdqsLxl/f57kE8Gn9h3H9q+jqkfkZQSXpYHXFsLmBizsWF3dwcQdXL1Ib34CbixV3FyvB2RvxsOdhc3PHxc0Dm6sHLm4euLp54Orugat/BG6uNtxsVlxsKuJEpPbIz8/nzz//pH379mdsN2zYMI4cOcL8+fPP2G758uV0796dK664gu++K/13qrx9VIcLrjiqqEcffZQxY8Y4X+fk5BAZGVnl+2kc7MW/runJyvRJgIFhGFgMB4ZhYGCAw0G0X3Oe9Y/FMAxciiNZkTYewzDAMADH8a9/tQ/xacG4gJYYGLiU5PH73n9hGA4AZ79gYDEMPLybc29QDIYBVkchy1Nvw2IYx4MZDuDEPgxKPJszNCgKA8BhZ8XeAf/bbhhYTuQAct1juC64AYYBdofBhrSe2BwlWAw7FhzHvxoOLIaDQy4xdPELwuEwsBsGe7KactCRixUHVsOBBbvz+yOuoTTw8sT+V9vcYh+OUIQVBzbDcfwrx7/a/3bl2IXjc1+4Wuy4UnoejBy7BymH85yvI9x20MKaUubPK8MI4OsDtzpf3+D2PZ2sf5bZNsfw5OZVzZ2v33edzEW2pDLb2g0LMYUfOl+/4TqNS6xrKbK4UYQrJbhSbHGl5K/l8eCXsLl64OFqo2/uNzQp2orh4vHX4gmuHlhcPcHVi7TG1+Hm4YmHi43AghS8S47g6uGNq4cXbh7euHv64O7phYenD1abrcx8InJh27hxI4ZhEBsbWyX9vfPOO9x///288847pKWlUb9+/Srp91xdcMVRSEgINpuNjIyMUuszMjIIDw8/pb27uzvu7u7VnivYx52rL44FKvIPrl01tX3tjFuvLfXqvTO2HVDq1VenbdcWuLrUmp9P27Yh8FupNWUXGgBtgB0OgxKHgxK7QUnecg4V5WMvKaakuIiS4kIcJcWUlBRhd1j5IqAZxXaDErtBfvrzrCvIxmEvwmEvxigpxvjra5HFlcfDW/3V1sHhtBtYnp+GxV50fHEc/2p1FFFouNC7cShFJQ6KShzkZTdgV9FRXIwiXIxiXDm+uBnFpxRzHhTiYSnGg5MeUmn8tQB/pBzF4PgZtutcf6eLbcXpP4s10eRy/OzcCy6zuMll6Wnbdi95nRyXEDzdbAznay6xL6PI5kWxzYsSF28crl7YXX3AzZutUbfg4hOCt7uN0II9BJRk4ublh7uXHx7efnj4BODt64+L67k960jkfGIYBvnF5zZRYWV5utoqPB/QunXrGDNmDL/99hsOh4NGjRoxYcIERo0aVekcx44dY968eaxatYr09HTmzJnDY489Vun+qtIFVxy5ubnRqVMnFi9ezIABA4Djz2NZvHgx9913n7nhpFrYrBZsVhvuLoB7Babtb9b/jJt7lHo1/oxtu53h1d9ttzsosh8vpIqPxpGWd5SS4gJKio4v9uIC7EWF2IsLeKNeZwpLHBQWO/BMu5Xfcy7GKM6H4gKsJXlYSgqw2guw2QvoEtmAvBIoKLZjyQliX3EYbkYR7hThYRTidtIlz5wSV3JKSsgpKMHXJZVmLtvhNL/Hx/7ZjjRCAJjg8gEjXBaU2S7PcOcOt6lkeUXj5+nCpfbfuKhwBXY3PwwPfywe/li9AnHxDsDVOxBrg074+gfi5+GKr4cLVqsmz5PzR36xndZP/mDKvjc/nYCXW/n//O/YsYNevXrx8MMPExwcjMPh4KKLLmL06NH07t2buLi4SuX49NNPadmyJS1atOC2225j1KhRPProo7VioswLrjgCGDNmDEOHDqVz58506dKFadOmkZuby+233252NBFc/hpr5OUGeDU4Y9vSV/2HnrHt7FKvup+y3V5SQkF+LoX5x/jeNYD8YoOCYjv2jBDWH7mF4vyjOAqO4ig8hlF4FIpysRbn0jOkGVnFbuQV2fE4XI9d+VF4OPLwoABvI99ZdHlZCtlz1ML+o0cBuNxlLZ1dEk+bN6HwebYajQAY6fItI1y+46jVn1wXfwrdAil2D8LhGYzFO5gj0VfhFVSfIG83gt1KCPR2x8PL54yfh4iUz8iRI7nuuut4/PHH6dq1KzfddBOjRo1i8uTJ/PLLL5Uujt555x1uu+02AK644gqys7P56aef6N27d9WFr6QLsji66aabOHjwIE8++STp6enExcWxcOHCUwZpi1xIbC4uePv64+3rX3pDg65A19O+r+sZXgEUFRaQd/QIuTlZzHKpR06RQU5+MW5pRfx+sDlG/hGshdnYinJwLT6Ke8lRPOxHcfUJwrPARn6xnRCyCCabYEc2FHF8Ofa/fVyxIYjkvwqpf9nm84jrpxw1PMmyBXHUJZh891BKvOqBbzhHmg7AL7Qh9Xw9qOfjgq+Hm+5elBrn6Wpj89MJpu27vNLT01myZAnLli3DbreTlJTE5MmTsVqt2Gw257PMKmrr1q388ccffPXV8eEWLi4u3HTTTbzzzjsqjsx033336TKaSA1wc/fAzT2cgJBwSp0Ha3stfx/BdrJv//paWGIn+1AHdhwYRf6RDApzDlByNBNH7iGs+YdwKThMVHg0FHhxOLeIkILjVZOvJR9fxz4o2ne8mDoKZMAVm8JKFVL3u8znkDWIbNd65HnWx+7bAGtgIzxDo/COiSciNBRPNw1Ql6plsVgqdGnLLL///jsOh4O4uDi2bt1Kfn4+cXFx7N69m6ysLLp1O/MwgdN55513KCkpKTUA2zAM3N3dmTFjBv7+/md4d/Wr/T8ZEbmgubvYqBdWn3php7+L5c2Tvjccl5KTk8WRA6nkHEyl4HAaJdn74Wg6rvkHaOgVQ1GuGwdzCqlnP4KnpYiGRjoNi9KhaANkA3uP93XF98+TbDQi2NuNWz2Xc4mxgkKfhliCovEKb05QZCvCImM02FzOW0VFRQAUFBSwdu1aoqKiCAoKYsqUKcTGxtK2bdsK91lSUsL777/PSy+9RN++fUttGzBgAB9//DEjR46skvyVpeJIRM4rFqsVv4Bg/AKCoXncKdvfPun7/Nxu7MtIIftAKnkH91B8eA/WnH145O7DvyiDbNdQKIJDuUWEFG6gg8uvkAtkAFuO91Fs2Ei1hjE9YhJe4c2JCvaipXsWkQFuRDRuic1Fv2al7oqPj8fFxYWnn36aY8eO0aRJE2bMmMH06dP5+efT31UMkJ2dzbp160qtCw4OZvXq1WRlZTF8+PBTzhBdf/31vPPOO87i6HR9VMeUOifTf7UicsHy9PalQZM2NGjSpsztywyDnPwS9h3J5+gOV1bs64SRtQf3o3sILNhLuH0/HpZiIo00Fu4sJmfnbgD+7TKbeJdECg1Xdrs0JMs7huKgZrhHxBLapC0RjVvj4upag0cqUjmRkZG8++67jBs3jv379+Pi4kJeXh4LFy6kU6dOZ3zv0qVL6dChQ6l1w4cPJyMjgz59+pR56ez6669nypQpbNiw4Yx9vP3226e8typZDOPEbH9SHjk5Ofj7+5OdnY2fn5/ZcUTERA67nYP7d3MwZStJLrHsPpTLnsw8rk6dwmWFi/GwFJf5vq7FswgMjaB5mC+Xem0nJtCFhq0uJjA0ooaPQGpKQUEBu3btIjo6Gg8PD7PjVEpQUBBz5szhn//8p9lRTutMn3NF/n7rzJGISCVZbTbCGsYQ1jDmb9O3zsNeUsK+lK0c3LmBgn2bsB3eSuCxHXiU5JBh9yEj/SjJ6Ue51nU6bW3rYQmkE8J+r+YUBLfBIzKOiFYXE9agie6mE9Pt3buXrKysKpsZu7ZTcSQiUg1sLi5lXrJz2B38kl3AnweOsmX/UWzrotibc4CGxn7CySQ8LxPylkEq5P7mTrzrXNo1CqZjVCDx/odp3qwlnt6+Jh2VXKiSkpLw9vYmOjra7Cg1QsWRiEgNstqsRAZ5ERnkxaUtw+CSuQAcPXKI1C1/kLNrNbaMJIKPJrOvxI/0YyWkb85g0eYMFruNxdWSwXaXaA4FtsfWqAsN4/oQ3qiZyUcl57srr7ySY8eOnb3heULFkYhILeAbEEzr+Csh/krnuvpFJXyelsOalCw27k7Hd2chLjhoat9B08wdkPklrIF9ljC2hCSQEz+Oi5sEUz/A08QjEan7VByJiNRSHm4udG4cROfGQdAzBoydpO/dwb6kXyje8ztBh9bQpHg7Dcjg5/2pPPrpegCaBLnznMf7uDbpTtOL/0lAyKkP1RaR01NxJCJSV1gshEc2JTyyKXD8WZDHcrLYsXox+YdstM8IYOO+bHyyNhPv/jUc/hr7ykfY6tqCw/V7EhzXn5j2PbDZNOO3yJmoOBIRqcN8/AJpf8kNtAfuAI4WFLNpYyi/r7qVsAO/Ee3YTYuSZEhJhpRZZP3Xj/n1RxPc9WYuaRGKr4fmWxL5OxVHIiLnEV8PVy7ufBF0vgiAjL072LPiv7jsXEKzYysJtOTw7S5YvXMtbjYrt0Qeol9oJk17DCSoXoOz9C5yYVBxJCJyHjs+D9NoYDTFRYVsXr2ELlmRZG3OZGdmLs32fkmX9MXYN0xkk3ssR6OvpOklgwkJb2R2dBHTqDgSEblAuLq50zr+SloDj1xpsP3AMfYlrufPXXtoZt9Om6Ik2JqEPXkqSR4dKGh1PS37DsfXS3e/yYVFxZGIyAXIYrHQLMyXZrc9BjxG2u6tpCz7lICd39GyZAttC9eQuiaVzqua0Kd1OAPiGtC7eQiuLhrMLec/FUciIkL9xi2o3/gJ4An27dxMyk/v8Ue6g8Jsg+827GfRhlS+83iCQxG9iOwzkoYxZT+sV+R8oOJIRERKadCkNQ2avMDFhsGl+3KYv24fOWu+pLljD+x/H+a+z0b3OAra3Ubby27F3cPL7MgiVUpPMxQRkTJZLBbaNvTniataM2n8w6yJn8EGj4twGBZiC9fReeVD5D3fnOWz7icjbY/ZcaWGtGrVirfffvuMbYYNG8aAAQNqJlA10JkjERE5K1c3dzomDIaEwezfs5Xd/zeLmNQvqcdh4tPe5+rXWtE4Np47/tGYDo0CzY4r1SQ/P58///yT9u3bn7HdK6+8gmEYNZSq6qk4EhGRComIakHE8JewlzzP2iXz2Ld+MUmHokhan8Y369P4d3AisW3aEtd3KDYX/Zk5n2zcuBHDMIiNjT1jO39//xpKVD10WU1ERCrF5uJKh763cdXDs/nuge7c0Kkh4baj3HzsAzr9MYa059qy8stXKC4qMDtq7VWUe/qluKACbfPL17aS1q1bx6WXXkr37t1xOBw0atSIadOmnbb93y+rLVy4kO7duxMQEEBwcDBXXXUVO3bsAODgwYOEh4czadIkZ/tly5bh5ubG4sWLK535XKikFxGRc9amvj8vDmxPZu9w1vx3GK1SPybSSCNyw5Okb3iVPa1G0P7q+/Dw8jE7au0yqf7ptzXrC7d+9r/XU5tCcV7ZbaO6w+3f/e/1tLaQd+jUdhOzKxxxx44d9OrVi4cffpjg4GAcDgcXXXQRo0ePpnfv3sTFxZ21j9zcXMaMGUO7du04duwYTz75JNdeey3r1q0jNDSUd999lwEDBtC3b19atGjB4MGDue+++7jssssqnLcq6MyRiIhUmZDQMOKHv4jr2E383nQ0mQQQTiZdt0zm2JQ2LPjvpxSW2M2OKRUwcuRIrrvuOh5//HFSUlL4xz/+wSOPPIKfnx+//PJLufq4/vrrue6662jatClxcXG8++67JCUlsXnzZgD69evHiBEjuPXWWxk5ciTe3t5Mnjy5Og/rjHTmSEREqpy3bwAX3zaRgvyHWfHfGURteQtfI4cnl5Xw3OafGNWnGdd1bIjNajE7qrkeSzv9NsvfJtx8ePsZ2v7tXMeopMpnOkl6ejpLlixh2bJl2O12kpKSmDx5MlarFZvNhpubW7n6+fPPP3nyySdZsWIFmZmZOBwOAFJSUpzjl1588UViY2P57LPPWL16Ne7u7lVyDJWh4khERKqNh6c3XW8aR3HRgyxe+iO2Va7sO5LPw59vwGXReKI6JdDh8tuwWC/QCxlu3ua3PYPff/8dh8NBXFwcW7duJT8/n7i4OHbv3k1WVhbdunUrVz9XX301UVFRvPXWW9SvXx+Hw0FsbCxFRUXONjt27CAtLQ2Hw8Hu3btp27ZtlRxDZag4EhGRaufq5sEVfa+k9yV23l++m99//IZri76F5d+ydeVrWPq9QPOOvc2OKX9zongpKChg7dq1REVFERQUxJQpU4iNjS1XAXPo0CG2bt3KW2+9RY8ePQD49ddfT9nPbbfdxk033USLFi248847SUpKol69elV/UOWg4khERGqMh6uNu3rGcHO7wSz/fA/tUz+kRUky/PcaVv50BdE3TSGkfpTZMeUv8fHxuLi48PTTT3Ps2DGaNGnCjBkzmD59Oj///HO5+ggMDCQ4OJhZs2YRERFBSkoK48ePL9VmwoQJZGdn8+qrr+Lj48OCBQu44447+Pbbb6vjsM7qAj2PKSIiZvILCCb+zpfJvXslK/0TALgoeyGeb3Zh+fuPU5B/mruypEZFRkby7rvv8vHHHzNr1ix++eUXPvjgAxYuXEinTp3K1YfVauWTTz5h9erVxMbGMnr0aKZOnercvnTpUqZNm8bcuXPx8/PDarUyd+5cfvnlF954443qOrQzshh1eQpLE+Tk5ODv7092djZ+fn5mxxEROS9sXbUEy8JxNC/ZRqojlOE+M5h4XWe6NQ0xO1qVKCgoYNeuXURHR+Ph4WF2nEoJCgpizpw5/POf/zxr20GDBmGz2fjggw9qINn/nOlzrsjfb505EhER07XofClNH/2dlR0m8x/XEWw7bOeWt1fw8KdrOXLogNnxLnh79+4lKyvrrDNjl5SUsHnzZpYvX06bNm1qKF3VU3EkIiK1gtVm46Jr/sW/Hx7D4IujsFjAZf1cjOmdWPXfNzD+uv1bal5SUhLe3t5ER0efsd3GjRvp3Lkzbdq0YeTIkTWUrurpsloF6bKaiEjNWL37MG5zr6KtfRMAGzwuInzwW9RrcOY/0LXR+XBZrS7QZTURETmvdWocRMtxS/i98b0UGq60K1iJx1v/YPW3b5kdTc5zKo5ERKTWcnXz4OJhk0gftIg/XZrhRy6dVj3EqpcGcCQz3ex4cp5ScSQiIrVeVMuONH7kN5Y3uosSw0qHnKWMeeMLft520Oxoch5ScSQiInWCq5s78XdMZdeAr3nd406W5DZm6Ow/mPpDMiX2ujFYW8N8q1dVfb4qjkREpE5p1qEnIx56gVu6NsIw4Pulv7Dhhb5k7N1hdrTTcnV1BSAvT5NbVqcTjzux2WxnaXlmenyIiIjUOR6uNiZd25b4JsFEfPkMHYu2kPV2L9b3epn2lww0O94pbDYbAQEBHDhwfM4mLy8vLBaLyanOLw6Hg4MHD+Ll5YWLy7mVNyqORESkzrq6fX32er/N9o+H0NS+g8Cf7mT57lV0HTIJ6zmePahq4eHhAM4CSaqe1WqlUaNG51x4ap6jCtI8RyIitU9Bfi7r3/4XXQ/NB2CNdw+aj/wAH98AU3OVxW63U1xcbHaM85KbmxtWa9kjhiry91vFUQWpOBIRqb3++GIacRuexs1iZ5c1CtehX9EwKsbsWFILaBJIERG5IHW5fhQ7r/qUTAI4VOLONbOT+W17ptmxpI5RcSQiIueVlhf1wTHiJ6aHPsmhAhj67h98vnqv2bGkDlFxJCIi5516DRrz5sh+XN2+PiUOg/SvHmP5u4/o4bVSLrpbTUREzkserjZeuSmOzi47GLrpa0iBP15NpcO/5uDq5m52PKnFdOZIRETOW1arhaEDb2BF68exGxa6HFnAlv9cSd6xbLOjSS2m4khERM57XW98mKSeM8kz3GlXsJqUV64gO0sDtaVsdaY4eu655+jWrRteXl4EBASU2SYlJYX+/fvj5eVFvXr1ePjhhykpKSnVZunSpXTs2BF3d3eaNm3KnDlzqj+8iIiYLu6ym0m5+mNy8KZl8WYyZ1zOoQP7zI4ltVCdKY6KiooYOHAg99xzT5nb7XY7/fv3p6ioiGXLlvHee+8xZ84cnnzySWebXbt20b9/fy655BLWrVvHqFGjuPPOO/nhhx9q6jBERMRELTtfxsHrv+QQ/sTYdzLj3dnsz843O5bUMnVuEsg5c+YwatQojhw5Umr9999/z1VXXUVaWhphYWEAzJw5k3HjxnHw4EHc3NwYN24c3333HRs3bnS+7+abb+bIkSMsXLiwXPvXJJAiInVf6p/rmTvvE2Yd606DAE8+uetiIoO8zI4l1eiCnARy+fLltG3b1lkYASQkJJCTk8OmTZucbfr06VPqfQkJCSxfvvy0/RYWFpKTk1NqERGRui2yWXuG3vck0SHe7DuSz92zFpGe8qfZsaSWOG+Ko/T09FKFEeB8nZ6efsY2OTk55OeXfVp18uTJ+Pv7O5fIyMhqSC8iIjXtxBmjuOASXsp7Avvs/mTs3WF2LKkFTC2Oxo8fj8ViOeOSnJxsZkQeffRRsrOznUtqaqqpeUREpOqE+Xnw5qBY/GyFNDAyKH6nPwfTdpsdS0xm6iSQY8eOZdiwYWds06RJk3L1FR4ezh9//FFqXUZGhnPbia8n1p3cxs/PD09PzzL7dXd3x91dk4WJiJyvwhrGkH77d6TN7kdDYz+pb11J5t0/EBLeyOxoYhJTi6PQ0FBCQ0OrpK/4+Hiee+45Dhw4QL169QBITEzEz8+P1q1bO9ssWLCg1PsSExOJj4+vkgwiIlI3hTdqRtrQb0mf059II40db/0Tt/sX4xcQbHY0MUGdGXOUkpLCunXrSElJwW63s27dOtatW8exY8cA6Nu3L61bt2bw4MGsX7+eH374gccff5x7773XeeZn5MiR7Ny5k0ceeYTk5GRef/11Pv30U0aPHm3moYmISC1Qv3EL7EO+JpMAYuy7SH39Ggryc82OJSaoM7fyDxs2jPfee++U9T/++CO9e/cGYM+ePdxzzz0sXboUb29vhg4dyvPPP4+Ly/9OkC1dupTRo0ezefNmGjZsyBNPPHHWS3sn0638IiLnt+3rfyPsy+s5iifTG73KM8P642KrM+cS5DQq8ve7zhRHtYWKIxGR89/G5T/wr+8OkFISxE2dI3n++rZYLBazY8k5uCDnORIREakqsfEJPHbz5VgtMG9VKm9995vZkaQGqTgSEREpwxWx4Tx3bVv+aV3GkJUDWPnfmWZHkhqi4khEROQ0BnVpxKCoHDwsxbRfPYEtK/QszguBiiMREZEz6HrnNNZ498DNUkL493eyb+cmsyNJNVNxJCIicgZWm41W//qYP12aEUgOJR/cSPbhg2bHkmqk4khEROQsPL19CbzjCzIIJsqxlz2zbsZeUmJ2LKkmKo5ERETKIaR+FMeu+4B8w412BatI/OQVsyNJNVFxJCIiUk4x7bqxqfOzvFoygH9tbM4Pm9LNjiTVQMWRiIhIBXS++m6yuj6CAytjP13P9gPHzI4kVUzFkYiISAU91q8VXaKDKC7MY/nbozmafdjsSFKFVByJiIhUkKvNymu3dORNz9cZXPQp294ejuFwmB1LqoiKIxERkUoI9XUnvN84SgwrnY4uYeVXGqB9vlBxJCIiUkktL+rDypj7AGi7YRK7t6wyOZFUBRVHIiIi56DrrRPZ4NEZT0sRfDaM/NyjZkeSc6TiSERE5BxYbTYa3P4emQTQ2JFK0tsjzY4k50jFkYiIyDkKDmtI+mWv4jAstDy8hMW/rzE7kpwDFUciIiJVILbHNfzQ9AkSCl9g7KJMDuQUmB1JKknFkYiISBW5bNBoghtEcySvmHFfbMAwDLMjSSWoOBIREakibi5W/nNjHG4uVow/E1k+/w2zI0kluJgdQERE5HzSPMyXVzpnceW6KeStc2df+140aNLG7FhSATpzJCIiUsUSrr6JTW5t8bIUkvPxndhLSsyOJBWg4khERKSKWW02Am95h1zDg1bFm1n56WSzI0kFqDgSERGpBvUbt2Bj7CMAtNs6nbTdW01OJOWl4khERKSaXHTdKDb/dXkt85N79HDaOkLFkYiISDWx2mz4DnyNQsOVdgWr+TXxS7MjSTmoOBIREalGkc3a83vzsdxdNJr7V/iReazQ7EhyFiqOREREqlm3m8eRGnYZR/KK+fc3m82OI2eh4khERKSaudqsvHB9O6wW+HV9Mqv/+MXsSHIGKo5ERERqQNuG/kxom8OP7mMJXXg3RYV69lptpeJIRESkhtzQry8lFlcaOfaxet5zZseR01BxJCIiUkP8A4LZ1WEcAO13vEl66naTE0lZVByJiIjUoM5Xj2SLaxu8LIXsmzfG7DhSBhVHIiIiNchiteJ+zcuUGFY6HfuJpJ/nmx1J/kbFkYiISA1rEtuVVfWuB8Bv6QSKizT3UW2i4khERMQErW59gYME8GtRCz5bobFHtYmKIxERERP4BwTzf5d9z4SS4by4NI3s/GKzI8lfVByJiIiYZGC3ljSt58Ph3CJe/1Fnj2oLFUciIiImcbFZeaxfS5pa9nLR7/exb2ey2ZEEFUciIiKmuqRFPf7j9yl9rKvY/+V4s+MIKo5ERERMZbFY8Ln6ORyGhc7HfmTLH/9ndqQLnoojERERkzWJvZhVQf0AsCQ+geFwmJzowqbiSEREpBZofMNzFBiutCzezIafvjA7zgVNxZGIiEgtUK9BNOsibgTA+9fJOOx2kxNduFQciYiI1BItrn+CY4YnTe07WLtortlxLlguZgcQERGR4wJDI/ipyUh+3naQXzfV57u+DlxsOo9R0/SJi4iI1CKdbn6crzwGsDWzmC/X7DM7zgVJxZGIiEgt4uPuwr96xwDwauIWCgsLTE504akTxdHu3bsZPnw40dHReHp6EhMTw1NPPUVRUVGpdhs2bKBHjx54eHgQGRnJlClTTunrs88+o2XLlnh4eNC2bVsWLFhQU4chIiJSLrddHMW1PpuZXTCKdfNfMTvOBadOFEfJyck4HA7efPNNNm3axMsvv8zMmTN57LHHnG1ycnLo27cvUVFRrF69mqlTpzJx4kRmzZrlbLNs2TIGDRrE8OHDWbt2LQMGDGDAgAFs3LjRjMMSEREpk4erjZub2Wlm3UfUllkU6exRjbIYhmGYHaIypk6dyhtvvMHOnTsBeOONN5gwYQLp6em4ubkBMH78eObPn09y8vFn1dx0003k5uby7bffOvu5+OKLiYuLY+bMmeXab05ODv7+/mRnZ+Pn51fFRyUiInJcQX4uR19oQyhZ/BH7FF1uGGN2pDqtIn+/68SZo7JkZ2cTFBTkfL18+XJ69uzpLIwAEhIS2Lp1K1lZWc42ffr0KdVPQkICy5cvP+1+CgsLycnJKbWIiIhUNw9Pb3Y0Hw5Aw01vUFxUaHKiC8c5FUeFheb8oLZv38706dO5++67nevS09MJCwsr1e7E6/T09DO2ObG9LJMnT8bf39+5REZGVtVhiIiInFH7a0ZxCH/qGwdY+92ss79BqkSFiqPvv/+eoUOH0qRJE1xdXfHy8sLPz49evXrx3HPPkZaWVqGdjx8/HovFcsblxCWxE/bt28cVV1zBwIEDGTFiRIX2VxmPPvoo2dnZziU1NbXa9ykiIgLg6e3LnzHDAIjY8DolxUVnfoNUiXJNAvnVV18xbtw4jh49Sr9+/Rg3bhz169fH09OTw4cPs3HjRv7v//6PZ555hmHDhvHMM88QGhp61n7Hjh3LsGHDztimSZMmzu/T0tK45JJL6NatW6mB1gDh4eFkZGSUWnfidXh4+BnbnNheFnd3d9zd3c96LCIiItWh7YAxZL30LpFGGssTPyG+3xCzI533ylUcTZkyhZdffpkrr7wSq/XUk0033nj8WTD79u1j+vTpfPDBB4wePfqs/YaGhpariDrR9yWXXEKnTp2YPXv2KTni4+OZMGECxcXFuLq6ApCYmEiLFi0IDAx0tlm8eDGjRo1yvi8xMZH4+PhyZRAREalp3r4BLGv5CB9uOErq5kgSrzCwWi1mxzqv1Ym71fbt20fv3r2Jiorivffew2azObedOOuTnZ1NixYt6Nu3L+PGjWPjxo3ccccdvPzyy9x1113A8Vv5e/XqxfPPP0///v355JNPmDRpEmvWrCE2NrZcWXS3moiI1LSjBcV0e34JRwtKmDW4E33bnP6Kh5StRu9Ws9vtrFu3znlHWHVITExk+/btLF68mIYNGxIREeFcTvD392fRokXs2rWLTp06MXbsWJ588klnYQTQrVs3PvroI2bNmkX79u35/PPPmT9/frkLIxERETP4erhy28VRAMz5abPJac5/FT5zNGrUKNq2bcvw4cOx2+306tWLZcuW4eXlxbfffkvv3r2rKWrtoDNHIiJihgM5BXw49X5ut35Hev/3aNnlcrMj1SnVeubo888/p3379gB888037Nq1i+TkZEaPHs2ECRMql1hERETOqJ6fB/8IySXAkkv+0pfNjnNeq3BxlJmZ6Rzns2DBAgYOHEjz5s254447SEpKqvKAIiIiclxYwkMAtM9dRsq2deaGOY9VuDgKCwtj8+bN2O12Fi5cyOWXHz+tl5eXV2qgtIiIiFStqJYdWecVj9VikL7wRbPjnLcqXBzdfvvt3HjjjcTGxmKxWJyP41ixYgUtW7as8oAiIiLyP+69RgHQ/tBCDqanmBvmPFXh4mjixIm8/fbb3HXXXfz222/OCRJtNhvjx4+v8oAiIiLyPy0v6ss2lxa4W4rZ/s1LZsc5L9WJeY5qE92tJiIiZluzcA4df3+QLHzxHL8dDw8PsyPVehX5+12uGbL/bvHixSxevJgDBw7gcDhKbXv33Xcr06WIiIiUU7vLbuG9lT/zXl48Izce5MbOeih6VarwZbV///vf9O3bl8WLF5OZmUlWVlapRURERKqXi6sb+T0nsNOoz5zfdqOLQFWrwmeOZs6cyZw5cxg8eHB15BEREZFyuPmiSKb93zY2789h5a5DdGkSYnak80aFzxwVFRXRrVu36sgiIiIi5RTg5cZdrUqY4foqli9HmB3nvFLh4ujOO+/ko48+qo4sIiIiUgHXtq/HVbbf6XB0Kemp282Oc96o8GW1goICZs2axf/93//Rrl07XF1dS23/z3/+U2XhRERE5PSi23Rl09ftaFO0gV3fv0r4Xa+aHem8UOHiaMOGDcTFxQGwcePGUtssFkuVhBIREZHyKep8Fyy7j5ZpX5KfOwlPbx+zI9V5mueogjTPkYiI1Cb2kmIOPNuKCA6ysv0zXHTtA2ZHqpUq8ve7wmOOREREpPawubiyO/omAPw2fWBymvNDpSaBXLVqFZ9++ikpKSkUFRWV2vbll19WSTAREREpn6YJd1P8xhu0KNnKzo2/0yT2YrMj1WkVPnP0ySef0K1bN7Zs2cJXX31FcXExmzZtYsmSJfj7+1dHRhERETmD0PBGLA26gWeKb+XjZMfZ3yBnVOHiaNKkSbz88st88803uLm58corr5CcnMyNN95Io0aNqiOjiIiInIVnv0m8Y+/PJ0lHySsqMTtOnVbh4mjHjh30798fADc3N3Jzc7FYLIwePZpZs2ZVeUARERE5u24xwUQFe3G0sIRv1qeZHadOq3BxFBgYyNGjRwFo0KCB83b+I0eOkJeXV7XpREREpFysVgu3dQrjOuvP+C9+xOw4dVqFB2T37NmTxMRE2rZty8CBA3nwwQdZsmQJiYmJXHbZZdWRUURERMrhujZ++P70Fm4FdrZvWEbTdnrcV2VUuDiaMWMGBQUFAEyYMAFXV1eWLVvG9ddfz+OPP17lAUVERKR8gsMastq3B52OLSXzpzdVHFVShYujoKAg5/dWq5Xx48dXaSARERGpPI+L74D/W0ps5g/kH8vB00cTFldUucYc5eTklPr+TIuIiIiYp1X8VeyzhOFjyWfTkg/NjlMnlas4CgwM5MCBAwAEBAQQGBh4ynJivYiIiJjHarOREnkNAB6bPjE5Td1UrstqS5YscV5O+/HHH6s1kIiIiJybqEvvhDmzaF2wnv17thIR1cLsSHVKuYqjXr16lfm9iIiI1D71G7cgya0D2flF7Fm/g1tVHFVIuYqjDRs2lLvDdu3aVTqMiIiIVI3tfWcz+vPNNEr2ZNBVBlarxexIdUa5iqO4uDgsFguGYWCxnPnDtdvtVRJMREREKi+hXSQ+32wj5XAeK3cfpmuTYLMj1RnlGpC9a9cudu7cya5du/jiiy+Ijo7m9ddfZ+3ataxdu5bXX3+dmJgYvvjii+rOKyIiIuXg5eZC/7YRhJJF0tLPzY5Tp5TrzFFUVJTz+4EDB/Lqq6/Sr18/57p27doRGRnJE088wYABA6o8pIiIiFTc4Jg8JiXdR+EeN3KP3oS3b4DZkeqECj9bLSkpiejo6FPWR0dHs3nz5ioJJSIiIueuTfsu7LeG42UpZPPiD8yOU2dUuDhq1aoVkydPpqioyLmuqKiIyZMn06pVqyoNJyIiIpVnsVpJbfTXnEdbNPSlvCr8+JCZM2dy9dVX07BhQ+edaRs2bMBisfDNN99UeUARERGpvEa9hsD7M2ldsJbM9BRCwhuZHanWq3Bx1KVLF3bu3MmHH35IcnIyADfddBO33HIL3t7eVR5QREREKq9BkzYku7SkZUky23+cS8igCWZHqvUqXBwBeHt7c9ddd1V1FhEREakGR2Kuga3JBO2YD6g4OptKFUcAmzdvJiUlpdTYI4B//vOf5xxKREREqk7TSwZjT55CVPEuUlJ206hRY7Mj1WoVLo527tzJtddeS1JSknNiSMA5OaQmgRQREaldQsIjeTH0Gd7fG8bwbcU8qGFHZ1Thu9UefPBBoqOjOXDgAF5eXmzatImff/6Zzp07s3Tp0mqIKCIiIucqOv5acvDm6/X7nCc2pGwVLo6WL1/O008/TUhICFarFavVSvfu3Zk8eTIPPPBAdWQUERGRc9S3TRjuLlZ2HsxlY2qW2XFqtQoXR3a7HV9fXwBCQkJIS0sDjs+ivXXr1qpNJyIiIlXC18OVB6J2M9/tcY5995jZcWq1Co85io2NZf369URHR9O1a1emTJmCm5sbs2bNokmTJtWRUURERKpAtyhf4vbt5EDGERx2O1abzexItVKFzxw9/vjjOBwOAJ5++ml27dpFjx49WLBgAa+++mqVBxQREZGq0brndeTgRT0Os3VVotlxaq0KnzlKSEhwft+0aVOSk5M5fPgwgYGBzjvWREREpPZx9/Big38PLsr+gexVn0PXK8yOVCtV6MxRcXExLi4ubNy4sdT6oKAgFUYiIiJ1gGvbawFocnAxDk2/U6YKFUeurq40atRIcxmJiIjUUa26X8NRw/P4pbXVS8yOUytVeMzRhAkTeOyxxzh8+HB15BEREZFq5O7hRbJ/dwCyV31mcpraqcLF0YwZM/j555+pX78+LVq0oGPHjqWW6vLPf/6TRo0a4eHhQUREBIMHD3ZOI3DChg0b6NGjBx4eHkRGRjJlypRT+vnss89o2bIlHh4etG3blgULFlRbZhERkdrI1m4g39sv4vPDMTgcmhDy7yo8IHvAgAHVEOPsLrnkEh577DEiIiLYt28fDz30EDfccAPLli0DICcnh759+9KnTx9mzpxJUlISd9xxBwEBAc6H5C5btoxBgwYxefJkrrrqKj766CMGDBjAmjVriI2NNeW4REREalrrXjcw5JcAjh0rYVDqETpFBZodqVaxGHV0DvH//ve/DBgwgMLCQlxdXXnjjTeYMGEC6enpuLm5ATB+/Hjmz59PcnIyADfddBO5ubl8++23zn4uvvhi4uLimDlzZrn2m5OTg7+/P9nZ2fj5+VX9gYmIiNSABz9Zy9fr0hjePZonrmptdpxqV5G/3+W6rFbb6qfDhw/z4Ycf0q1bN1xdXYHjjzXp2bOnszCC49MObN26laysLGebPn36lOorISGB5cuXn3ZfhYWF5OTklFpERETqun5tI4i27Mdv7SwcdofZcWqVchVHbdq04ZNPPqGoqOiM7f7880/uuecenn/++SoJ93fjxo3D29ub4OBgUlJS+Prrr53b0tPTCQsLK9X+xOv09PQztjmxvSyTJ0/G39/fuURGRlbV4YiIiJimVxM/vnN7jAfts/lz3U9mx6lVylUcTZ8+nRdffJHw8HBuuukmpk6dyocffsgXX3zB22+/zZgxY+jSpQtxcXH4+flxzz33lGvn48ePx2KxnHE5cUkM4OGHH2bt2rUsWrQIm83GkCFDqv2s1qOPPkp2drZzSU1Nrdb9iYiI1AQPTy+2+HUD4PBK3bV2snINyL7ssstYtWoVv/76K/PmzePDDz9kz5495OfnExISQocOHRgyZAi33norgYHlH9Q1duxYhg0bdsY2Jz+vLSQkhJCQEJo3b06rVq2IjIzk999/Jz4+nvDwcDIyMkq998Tr8PBw59ey2pzYXhZ3d3fc3d3LfUwiIiJ1Rqtr4I8ficxYguFwYLFW+Cb281KF7lbr3r073bt3r7Kdh4aGEhoaWqn3nni+W2FhIQDx8fFMmDCB4uJi5zikxMREWrRo4SzY4uPjWbx4MaNGjXL2k5iYSHx8/DkchYiISN3UovsAilY8REP2s2fbWqJadjI7Uq1QJ0rEFStWMGPGDNatW8eePXtYsmQJgwYNIiYmxlnY3HLLLbi5uTF8+HA2bdrEvHnzeOWVVxgzZoyznwcffJCFCxfy0ksvkZyczMSJE1m1ahX33XefWYcmIiJiGh+/QLZ4dgAgbcUXJqepPepEceTl5cWXX37JZZddRosWLRg+fDjt2rXjp59+cl7y8vf3Z9GiRezatYtOnToxduxYnnzySeccRwDdunXjo48+YtasWbRv357PP/+c+fPna44jERG5YBXEHH/4bFDq/5mcpPaos/McmUXzHImIyPnkYNpuQme155jhQd59SdQLrWd2pGpR5fMciYiIyPkptH5jHvN/gU6FM0ncmW92nFpBxZGIiMgFrkFcHwpxI3FzxtkbXwAqVRzt2LGDxx9/nEGDBnHgwAEAvv/+ezZt2lSl4URERKT6JbQ5PkHysu2HOFZQbHIa81W4OPrpp59o27YtK1as4Msvv+TYsWMArF+/nqeeeqrKA4qIiEj1ign1YazfEr6zjWXrjx+YHcd0FS6Oxo8fz7PPPktiYmKp55hdeuml/P7771UaTkRERKqfxWKhS1Aezaz7MLZ8e/Y3nOcqXBwlJSVx7bXXnrK+Xr16ZGZmVkkoERERqVn+HQYA0DxnOcVFheaGMVmFi6OAgAD2799/yvq1a9fSoEGDKgklIiIiNatZp8s4jB9+5PLnqkSz45iqwsXRzTffzLhx40hPT8diseBwOPjtt9946KGHGDJkSHVkFBERkWpmc3Fhh//xp07kbFhgchpzVbg4mjRpEi1btiQyMpJjx47RunVrevbsSbdu3Xj88cerI6OIiIjUAEvzBADCD/xschJzVXqG7NTUVJKSkjh27BgdOnSgWbNmVZ2tVtIM2SIicr7KPnwQ71ea42JxsP/2P4iIamF2pCpTkb/fLpXdSWRkJJGRkdjtdpKSksjKyiIwMLCy3YmIiIjJ/INCWe7RjdRcG27bDzDgPCqOKqLCl9VGjRrFO++8A4DdbqdXr1507NiRyMhIli5dWtX5REREpAatjX+FR0ru5r+pHmZHMU2Fi6PPP/+c9u3bA/DNN9+wc+dOkpOTGT16NBMmTKjygCIiIlJzLmlx/MGzy3ZkUlBsNzmNOSpcHGVmZhIeHg7AggULuPHGG2nevDl33HEHSUlJVR5QREREak7LcF/q+7nRrGQ769etMjuOKSpcHIWFhbF582bsdjsLFy7k8ssvByAvLw+bzVblAUVERKTmWCwWpvh9xjfuj8OKN82OY4oKF0e33347N954I7GxsVgsFvr06QPAihUraNmyZZUHFBERkZrl06I3AA0P/YrhcJgbxgQVvltt4sSJxMbGkpqaysCBA3F3dwfAZrMxfvz4Kg8oIiIiNavZxf0o+tWFBmSw588NRLWIMztSjarUrfw33HDDKeuGDh16zmFERETEfN6+ASR5tKNt4RrSVv5XxVF55Obm8tNPP5GSkkJRUVGpbQ888ECVBBMRERHz5EZdCtvW4Ju6BHjS7Dg1qsLF0dq1a+nXrx95eXnk5uYSFBREZmYmXl5e1KtXT8WRiIjIeSC841Ww7UWaFWykIO8YHl4+ZkeqMRUekD169GiuvvpqsrKy8PT05Pfff2fPnj106tSJF198sToyioiISA2Lat6eDIJxtxTz56pFZsepURUujtatW8fYsWOxWq3YbDYKCwuJjIxkypQpPPbYY9WRUURERGqYxWplYeQobip8gu9ympodp0ZVuDhydXXFaj3+tnr16pGSkgKAv78/qampVZtORERETBPY+QZWGK1Yuv2I2VFqVIXHHHXo0IGVK1fSrFkzevXqxZNPPklmZiZz584lNja2OjKKiIiICbo3DcFigeT0oxw4WkA93wvjeWsVPnM0adIkIiIiAHjuuecIDAzknnvu4eDBg8yaNavKA4qIiIg5grzduDE0hYkuc9jx6+dmx6kxFT5z1LlzZ+f39erVY+HChVUaSERERGqPAT5biM9ZxMpk4MrbzI5TIyp85khEREQuHL5tjj9DNTr7jwvmUSIVLo4yMjIYPHgw9evXx8XFBZvNVmoRERGR80ezTpeRZ7gTwhF2bV5pdpwaUeHLasOGDSMlJYUnnniCiIgILBZLdeQSERGRWsDdw4sNnu1oV7CSjHXf0yS2q9mRql2Fi6Nff/2VX375hbi4uGqIIyIiIrVNXqNesG0l3nt/NjtKjajwZbXIyEgMw6iOLCIiIlILRXToB0Dz/A0U5B0zOU31q3BxNG3aNMaPH8/u3burIY6IiIjUNo1adOAAQWTiz5YtG82OU+3KdVktMDCw1Nii3NxcYmJi8PLywtXVtVTbw4cPV21CERERMZXFamVas9l8lHSM+w8F0sHsQNWsXMXRtGnTqjmGiIiI1Gbtmzfho6Qklu04xFizw1SzchVHQ4cOre4cIiIiUot1iwkBICn1MLn5hXh7upucqPqUe8yRw+HghRde4B//+AcXXXQR48ePJz8/vzqziYiISC0RGeTFS95zWek6gh2/f2N2nGpV7uLoueee47HHHsPHx4cGDRrwyiuvcO+991ZnNhEREalFIn0t+FvyyN32o9lRqlW5i6P333+f119/nR9++IH58+fzzTff8OGHH+K4QKYSFxERudBZonsCEHJwhclJqle5i6OUlBT69evnfN2nTx8sFgtpaWnVEkxERERql0adEwBoUryd7COHTE5TfcpdHJWUlODh4VFqnaurK8XFxVUeSkRERGqfsAZNSLXUx2Yx2Llqkdlxqk25Hx9iGAbDhg3D3f1/o9MLCgoYOXIk3t7eznVffvll1SYUERGRWiMt6CIiD31N4bYfoc8gs+NUi3IXR2Xdzn/bbbdVaRgRERGp3Vya9IRDXxOa+YfZUapNuYuj2bNnV2cOERERqQOiOl/BHytmsaykDUOOFRLkc/7Nd1Tu4khEREQkJKwhtwROZVvGMZrvOky/thFmR6pyFX7wrIiIiFzYTsyWvXzH+XnHmoojERERqZAu0UH4cYzCP5eaHaVa6LKaiIiIVEiXcCvr3O/GmmuQfWgg/sFhZkeqUnXuzFFhYSFxcXFYLBbWrVtXatuGDRvo0aMHHh4eREZGMmXKlFPe/9lnn9GyZUs8PDxo27YtCxYsqKHkIiIi54eQ0DBSrQ0A2LV2iclpql6dK44eeeQR6tevf8r6nJwc+vbtS1RUFKtXr2bq1KlMnDiRWbNmOdssW7aMQYMGMXz4cNauXcuAAQMYMGAAGzdurMlDEBERqfPSAzoAULD9F5OTVL06VRx9//33LFq0iBdffPGUbR9++CFFRUW8++67tGnThptvvpkHHniA//znP842r7zyCldccQUPP/wwrVq14plnnqFjx47MmDGjJg9DRESkzrNGdQMgMHOVyUmqXp0pjjIyMhgxYgRz587Fy8vrlO3Lly+nZ8+euLm5OdclJCSwdetWsrKynG369OlT6n0JCQksX778tPstLCwkJyen1CIiInKhaxB3GXD8OWt5x7JNTlO16kRxdOLRJSNHjqRz585ltklPTycsrPSAsBOv09PTz9jmxPayTJ48GX9/f+cSGRl5LociIiJyXoho1IwMgnG12Nm1dqnZcaqUqcXR+PHjsVgsZ1ySk5OZPn06R48e5dFHH63xjI8++ijZ2dnOJTU1tcYziIiI1DYWq5VU3+PjjnK2nV/jjky9lX/s2LEMGzbsjG2aNGnCkiVLWL58eamH3gJ07tyZW2+9lffee4/w8HAyMjJKbT/xOjw83Pm1rDYntpfF3d39lP2KiIgIZLW8mXHLoskv6k682WGqkKnFUWhoKKGhoWdt9+qrr/Lss886X6elpZGQkMC8efPo2rUrAPHx8UyYMIHi4mJcXV0BSExMpEWLFgQGBjrbLF68mFGjRjn7SkxMJD7+fPqRioiI1Iyozlcw7xcvPNKsFJU4cHOpE6N1zqpOHEWjRo2IjY11Ls2bNwcgJiaGhg0bAnDLLbfg5ubG8OHD2bRpE/PmzeOVV15hzJgxzn4efPBBFi5cyEsvvURycjITJ05k1apV3HfffaYcl4iISF3WNNSHQC9XCoodbEw7fwZl14niqDz8/f1ZtGgRu3btolOnTowdO5Ynn3ySu+66y9mmW7dufPTRR8yaNYv27dvz+eefM3/+fGJjY01MLiIiUjdZrRaubFDAUNsPZKz8yuw4VcZiGIZhdoi6JCcnB39/f7Kzs/Hz8zM7joiIiKlWfDCRrttfZp1nPHHjFpod57Qq8vf7vDlzJCIiIjUvsPUlAETnb8Bht5ucpmqoOBIREZFKa9I2njzDHX9ySdm6xuw4VULFkYiIiFSai6sbO91bAXBg8/kx35GKIxERETknR0OPTwZp2fuHyUmqhoojEREROSdeMcfnCwzL2WBykqqh4khERETOSVS73gBE2NPJOpxpbpgqoOJIREREzklASBj3ez1P+8K3WHug7t+xpuJIREREzplHdDfy8GD1niyzo5wzFUciIiJyzjpGHX+O6Zo9R8wNUgVMffCsiIiInB8613fjCZe5tN23h5Lin3BxdTM7UqXpzJGIiIics5iIUAa6/EQXy2Z2b15pdpxzouJIREREzpnVZmO3R2sADiXX7ckgVRyJiIhIlcir1xEA2z6dORIRERHBu2k3AOofTTI5yblRcSQiIiJVonH7XjgMC/WNDDLTU8yOU2kqjkRERKRK+PoHsccWBUDK+p9MTlN5Ko5ERESkyhwMaEeGEcC+9Ayzo1SaiiMRERGpMildn6Jr4Wt8UPAPs6NUmoojERERqTLtGocBFpL2ZWN3GGbHqRQVRyIiIlJlYkJ98HazkVdUwvb0I2bHqRQVRyIiIlJlbFYLz/h9xUr3e8hZ/p7ZcSpFxZGIiIhUqQhfV0ItORj7VpsdpVJUHImIiEiVco+6CIDg7I0mJ6kcFUciIiJSpRrEdgcgqmQ3BXlHTU5TcSqOREREpErVqx/NQQJxsTjYvXG52XEqTMWRiIiIVCmL1cper1YAHNm+wuQ0FafiSERERKpcYb0OALjsX2tykopTcSQiIiJVzqvpP1jhaMmqggZmR6kwF7MDiIiIyPknqlNf2n8LFMFNuUUEeruZHancdOZIREREqpy/pytNQr0BWL/3iLlhKkjFkYiIiFSLuIYB+JLHzj+TzY5SISqOREREpFpcZ/2Z9e4j6LTpWbOjVIiKIxEREakW9ZrEYrUYROZvwXA4zI5TbiqOREREpFpEtelKkWEjiBzSU/80O065qTgSERGRauHu4U2KS2MA0rf8bm6YClBxJCIiItXmsN/xmbILU9eYnKT8VByJiIhItTEi2gPgdWijyUnKT8WRiIiIVJuAmIsAaFiwrc4MylZxJCIiItUmqnUXPrX35uXi60jPzjU7Trno8SEiIiJSbTw8vXk3eCzJ6UfpkZZLRKCv2ZHOSmeOREREpFrFNvAHYOO+bJOTlI+KIxEREalW7SK8aG3ZjbFjidlRykWX1URERKRadXHfwxD3x8jMCADuMTvOWenMkYiIiFSrqNZdsRsWQjjCwbQ9Zsc5KxVHIiIiUq08vX1JtUUCsG/LcpPTnJ2KIxEREal2B31bApC/Z7XJSc5OxZGIiIhUO3vY8ZmyPTKTTE5ydnWmOGrcuDEWi6XU8vzzz5dqs2HDBnr06IGHhweRkZFMmTLllH4+++wzWrZsiYeHB23btmXBggU1dQgiIiIXLP+YzgDUz9tmcpKzqzPFEcDTTz/N/v37ncv999/v3JaTk0Pfvn2Jiopi9erVTJ06lYkTJzJr1ixnm2XLljFo0CCGDx/O2rVrGTBgAAMGDGDjxrrzvBcREZG6qFGrrjgMC2EcIjNjr9lxzqhO3crv6+tLeHh4mds+/PBDioqKePfdd3Fzc6NNmzasW7eO//znP9x1110AvPLKK1xxxRU8/PDDADzzzDMkJiYyY8YMZs6cWWPHISIicqHx9gtkmsfdrDnqz/BMg15hZic6vTp15uj5558nODiYDh06MHXqVEpKSpzbli9fTs+ePXFzc3OuS0hIYOvWrWRlZTnb9OnTp1SfCQkJLF9++pHzhYWF5OTklFpERESk4nZH38zPjvZsSC8wO8oZ1Zni6IEHHuCTTz7hxx9/5O6772bSpEk88sgjzu3p6emEhZUuQ0+8Tk9PP2ObE9vLMnnyZPz9/Z1LZGRkVR2SiIjIBaV1fT8AtqTX7hMNphZH48ePP2WQ9d+X5ORkAMaMGUPv3r1p164dI0eO5KWXXmL69OkUFhZWa8ZHH32U7Oxs55Kamlqt+xMRETlfxYa60s/6O213v2d2lDMydczR2LFjGTZs2BnbNGnSpMz1Xbt2paSkhN27d9OiRQvCw8PJyMgo1ebE6xPjlE7X5nTjmADc3d1xd3c/26GIiIjIWbQMduF1t1ehGI7lTMTHL8jsSGUytTgKDQ0lNDS0Uu9dt24dVquVevXqARAfH8+ECRMoLi7G1dUVgMTERFq0aEFgYKCzzeLFixk1apSzn8TEROLj48/tQEREROSsgurV5wBB1OMwe5NX0bJLX7MjlalOjDlavnw506ZNY/369ezcuZMPP/yQ0aNHc9tttzkLn1tuuQU3NzeGDx/Opk2bmDdvHq+88gpjxoxx9vPggw+ycOFCXnrpJZKTk5k4cSKrVq3ivvvuM+vQRERELij7PZsCkL1rjclJTq9OFEfu7u588skn9OrVizZt2vDcc88xevToUnMY+fv7s2jRInbt2kWnTp0YO3YsTz75pPM2foBu3brx0UcfMWvWLNq3b8/nn3/O/PnziY2NNeOwRERELjh5ga0AsGTU3jkGLYZhGGaHqEtycnLw9/cnOzsbPz8/s+OIiIjUKau+e4fOK8ewzaU5zR9fWWP7rcjf7zpx5khERETOD/WadQIgsng39pPmK6xNVByJiIhIjWnQJJY8wx1PSxF7d9TOS2sqjkRERKTG2FxcmBzwFD0LX2ZDfojZccqk4khERERqlL1xT1KMMDanHzM7SplUHImIiEiNahXx12NE9tfOx4iYOgmkiIiIXHjaBhn8y/Y1TVMPA5+bHecUKo5ERESkRjUL9yfOdR444NCBfQTXa2B2pFJ0WU1ERERqlLdfIPssx59rmpZcc3MdlZeKIxEREalxGd7NATiWss7cIGVQcSQiIiI1rii4NQAuBzaZnORUKo5ERESkxnlGxgEQfGyruUHKoOJIREREalx4884ARNr3UliQZ3Ka0lQciYiISI2r1zCGbLwB2Ltzi8lpSlNxJCIiIjXOYrXyWMh0WhfOJqkw3Ow4pag4EhEREVMENGhOMS5szThqdpRSVByJiIiIKVqG+wKwNb12FUeaIVtERERMEetXwBSXN6mfkgssNjuOk4ojERERMUWTiGA6uPwEDjh65BC+AcFmRwJ0WU1ERERM4h8USgbHC6J929aYnOZ/VByJiIiIaTI8mgCQs2e9yUn+R8WRiIiImCYv4Pgz1oyMzSYn+R8VRyIiImIaW3gbAHxztpmc5H9UHImIiIhpAqPbAxBRtBvD4TA5zXEqjkRERMQ0DZvFUWzYyHZ4kXko0+w4gG7lFxERERN5ePlwhe/HJGeWMPeIhdBQsxPpzJGIiIiYLDo8BKg9M2WrOBIRERFTtahljxHRZTUREREx1UXuqcxzexrXbV7Aj2bHUXEkIiIi5moUFkykNZm8InccdjtWm83UPLqsJiIiIqaq36QNhYYrXpZC0nYnmx1HxZGIiIiYy+biyl6XSAAO7FhrchoVRyIiIlILHPZpCkDhviSTk6g4EhERkVrAHtwSALfD5j9GRMWRiIiImM6jwfFnrAXm7jQ5iYojERERqQXqNYljvxHErpJgSkrspmbRrfwiIiJiuvCoFrRxvEF+sZ0lWfk0CfUxLYvOHImIiIjprFYLTesdL4i2ZRwzN4upexcRERH5S7Ow48XR9vQsU3OoOBIREZFa4UpjGSvc/0X8+sdMzaHiSERERGoFn8btmVx8C29yvak5NCBbREREaoWmrTvTydGAFuF+puZQcSQiIiK1QqivO4PjG5sdQ5fVRERERE6m4khERETkJCqORERERE6i4khERETkJCqORERERE5Sp4qj7777jq5du+Lp6UlgYCADBgwotT0lJYX+/fvj5eVFvXr1ePjhhykpKSnVZunSpXTs2BF3d3eaNm3KnDlzau4AREREpNarM7fyf/HFF4wYMYJJkyZx6aWXUlJSwsaNG53b7XY7/fv3Jzw8nGXLlrF//36GDBmCq6srkyZNAmDXrl3079+fkSNH8uGHH7J48WLuvPNOIiIiSEhIMOvQREREpBaxGIZhmB3ibEpKSmjcuDH//ve/GT58eJltvv/+e6666irS0tIICwsDYObMmYwbN46DBw/i5ubGuHHj+O6770oVVTfffDNHjhxh4cKF5cqSk5ODv78/2dnZ+PmZO0mViIiIlE9F/n7Xictqa9asYd++fVitVjp06EBERARXXnllqSJn+fLltG3b1lkYASQkJJCTk8OmTZucbfr06VOq74SEBJYvX37afRcWFpKTk1NqERERkfNXnSiOdu7cCcDEiRN5/PHH+fbbbwkMDKR3794cPnwYgPT09FKFEeB8nZ6efsY2OTk55Ofnl7nvyZMn4+/v71wiIyOr9NhERESkdjG1OBo/fjwWi+WMS3JyMg6HA4AJEyZw/fXX06lTJ2bPno3FYuGzzz6r1oyPPvoo2dnZziU1NbVa9yciIiLmMnVA9tixYxk2bNgZ2zRp0oT9+/cD0Lp1a+d6d3d3mjRpQkpKCgDh4eH88ccfpd6bkZHh3Hbi64l1J7fx8/PD09OzzP27u7vj7u5e/oMSERGROs3U4ig0NJTQ0NCztuvUqRPu7u5s3bqV7t27A1BcXMzu3buJiooCID4+nueee44DBw5Qr149ABITE/Hz83MWVfHx8SxYsKBU34mJicTHx1flYYmIiEgdVidu5ffz82PkyJE89dRTREZGEhUVxdSpUwEYOHAgAH379qV169YMHjyYKVOmkJ6ezuOPP869997rPPMzcuRIZsyYwSOPPMIdd9zBkiVL+PTTT/nuu+/KneXEzX0amC0iIlJ3nPi7Xa6b9I06oqioyBg7dqxRr149w9fX1+jTp4+xcePGUm12795tXHnllYanp6cREhJijB071iguLi7V5scffzTi4uIMNzc3o0mTJsbs2bMrlCM1NdUAtGjRokWLFi11cElNTT3r3/o6Mc9RbeJwOEhLS8PX1xeLxVLl/V900UWsXLmyyvutbrUhd01lqI79VEWf59pHZd5fkffk5OQQGRlJamqq5girpNrw31ll1Ibc+v1Q+T4q+97a9vvBMAyOHj1K/fr1sVrPfD9anbisVptYrVYaNmxYbf3bbLY6+YejNuSuqQzVsZ+q6PNc+6jM+yvzHj8/P9P/rdRVteG/s8qoDbn1+6HyfVT2vbXx94O/v3+52tWJeY4uJPfee6/ZESqlNuSuqQzVsZ+q6PNc+6jM+2vDz/1CUlc/79qQW78fKt9HZd9bG37ulaXLaiJSI/ToHRE5ndr2+0FnjkSkRri7u/PUU09p3jAROUVt+/2gM0ciIiIiJ9GZIxEREZGTqDgSEREROYmKIxEREZGTqDgSEREROYmKIxEREZGTqDgSEdOlpqbSu3dvWrduTbt27fjss8/MjiQitcCRI0fo3LkzcXFxxMbG8tZbb9XIfnUrv4iYbv/+/WRkZBAXF0d6ejqdOnVi27ZteHt7mx1NRExkt9spLCzEy8uL3NxcYmNjWbVqFcHBwdW6Xz1bTURMFxERQUREBADh4eGEhIRw+PBhFUciFzibzYaXlxcAhYWFGIZBTZzT0WU1ETlnP//8M1dffTX169fHYrEwf/78U9q89tprNG7cGA8PD7p27coff/xRZl+rV6/GbrcTGRlZzalFpLpVxe+GI0eO0L59exo2bMjDDz9MSEhItedWcSQi5yw3N5f27dvz2muvlbl93rx5jBkzhqeeeoo1a9bQvn17EhISOHDgQKl2hw8fZsiQIcyaNasmYotINauK3w0BAQGsX7+eXbt28dFHH5GRkVHtuTXmSESqlMVi4auvvmLAgAHOdV27duWiiy5ixowZADgcDiIjI7n//vsZP348cPyU+eWXX86IESMYPHiwGdFFpBpV9nfDyf71r39x6aWXcsMNN1RrVp05EpFqVVRUxOrVq+nTp49zndVqpU+fPixfvhwAwzAYNmwYl156qQojkQtEeX43ZGRkcPToUQCys7P5+eefadGiRbVnU3EkItUqMzMTu91OWFhYqfVhYWGkp6cD8NtvvzFv3jzmz59PXFwccXFxJCUlmRFXRGpIeX437Nmzhx49etC+fXt69OjB/fffT9u2bas9m+5WExHTde/eHYfDYXYMEallunTpwrp162p8vzpzJCLVKiQkBJvNdsogyoyMDMLDw01KJSJmq82/G1QciUi1cnNzo1OnTixevNi5zuFwsHjxYuLj401MJiJmqs2/G3RZTUTO2bFjx9i+fbvz9a5du1i3bh1BQUE0atSIMWPGMHToUDp37kyXLl2YNm0aubm53H777SamFpHqVld/N+hWfhE5Z0uXLuWSSy45Zf3QoUOZM2cOADNmzGDq1Kmkp6cTFxfHq6++SteuXWs4qYjUpLr6u0HFkYiIiMhJNOZIRERE5CQqjkREREROouJIRERE5CQqjkREREROouJIRERE5CQqjkREREROouJIRERE5CQqjkREREROouJIRERE5CQqjkRETFBUVETTpk1ZtmxZlfa7cOFC4uLicDgcVdqvyIVExZGInLNhw4ZhsVhOWU5+4KSUNnPmTKKjo+nWrZtzncViYf78+ae0HTZsGAMGDChXv1dccQWurq58+OGHVZRU5MKj4khEqsQVV1zB/v37Sy3R0dGntCsqKjIhXe1iGAYzZsxg+PDh1dL/sGHDePXVV6ulb5ELgYojEakS7u7uhIeHl1psNhu9e/fmvvvuY9SoUYSEhJCQkADAxo0bufLKK/Hx8SEsLIzBgweTmZnp7C83N5chQ4bg4+NDREQEL730Er1792bUqFHONmWdaQkICHA+7RsgNTWVG2+8kYCAAIKCgrjmmmvYvXu3c/uJszIvvvgiERERBAcHc++991JcXOxsU1hYyLhx44iMjMTd3Z2mTZvyzjvvYBgGTZs25cUXXyyVYd26dWc8c7Z69Wp27NhB//79K/gpw+7du8s8S9e7d29nm6uvvppVq1axY8eOCvcvIiqORKQGvPfee7i5ufHbb78xc+ZMjhw5wqWXXkqHDh1YtWoVCxcuJCMjgxtvvNH5nocffpiffvqJr7/+mkWLFrF06VLWrFlTof0WFxeTkJCAr68vv/zyC7/99hs+Pj5cccUVpc5g/fjjj+zYsYMff/yR9957jzlz5pQqsIYMGcLHH3/Mq6++ypYtW3jzzTfx8fHBYrFwxx13MHv27FL7nT17Nj179qRp06Zl5vrll19o3rw5vr6+FToegMjIyFJn59auXUtwcDA9e/Z0tmnUqBFhYWH88ssvFe5fRABDROQcDR061LDZbIa3t7dzueGGGwzDMIxevXoZHTp0KNX+mWeeMfr27VtqXWpqqgEYW7duNY4ePWq4ubkZn376qXP7oUOHDE9PT+PBBx90rgOMr776qlQ//v7+xuzZsw3DMIy5c+caLVq0MBwOh3N7YWGh4enpafzwww/O7FFRUUZJSYmzzcCBA42bbrrJMAzD2Lp1qwEYiYmJZR77vn37DJvNZqxYscIwDMMoKioyQkJCjDlz5pz283rwwQeNSy+99JT1gOHh4VHqc/T29jZcXFyMa6655pT2+fn5RteuXY2rrrrKsNvtpbZ16NDBmDhx4mkziMjpuZhbmonI+eKSSy7hjTfecL729vZ2ft+pU6dSbdevX8+PP/6Ij4/PKf3s2LGD/Px8ioqK6Nq1q3N9UFAQLVq0qFCm9evXs3379lPO0BQUFJS65NSmTRtsNpvzdUREBElJScDxS2Q2m41evXqVuY/69evTv39/3n33Xbp06cI333xDYWEhAwcOPG2u/Px8PDw8ytz28ssv06dPn1Lrxo0bh91uP6XtHXfcwdGjR0lMTMRqLX0hwNPTk7y8vNNmEJHTU3EkIlXC29v7tJeRTi6UAI4dO8bVV1/NCy+8cErbiIiIct/lZrFYMAyj1LqTxwodO3aMTp06lXnnVmhoqPN7V1fXU/o9cSu8p6fnWXPceeedDB48mJdffpnZs2dz00034eXlddr2ISEhzuLr78LDw0/5HH19fTly5Eipdc8++yw//PADf/zxR5mX5w4fPlzqGEWk/FQciUiN69ixI1988QWNGzfGxeXUX0MxMTG4urqyYsUKGjVqBEBWVhbbtm0rdQYnNDSU/fv3O1//+eefpc6WdOzYkXnz5lGvXj38/PwqlbVt27Y4HA5++umnU87onNCvXz+8vb154403WLhwIT///PMZ++zQoQNvvPEGhmFgsVgqnOmLL77g6aef5vvvvycmJuaU7SfOjHXo0KHCfYuIBmSLiAnuvfdeDh8+zKBBg1i5ciU7duzghx9+4Pbbb8dut+Pj48Pw4cN5+OGHWbJkCRs3bmTYsGGnXDq69NJLmTFjBmvXrmXVqlWMHDmy1FmgW2+9lZCQEK655hp++eUXdu3axdKlS3nggQfYu3dvubI2btyYoUOHcscddzB//nxnH59++qmzjc1mY9iwYTz66KM0a9aM+Pj4M/Z5ySWXcOzYMTZt2lSBT+24jRs3MmTIEMaNG0ebNm1IT08nPT2dw4cPO9v8/vvvuLu7nzWHiJRNxZGI1Lj69evz22+/Ybfb6du3L23btmXUqFEEBAQ4C6CpU6fSo0cPrr76avr06UP37t1PGbv00ksvERkZSY8ePbjlllt46KGHSl3O8vLy4ueff6ZRo0Zcd911tGrViuHDh1NQUFChM0lvvPEGN9xwA//6179o2bIlI0aMIDc3t1Sb4cOHU1RUxO23337W/oKDg7n22msrNVHjqlWryMvL49lnnyUiIsK5XHfddc42H3/8MbfeeusZL+2JyOlZjL9fsBcRqaV69+5NXFwc06ZNMzvKKX755Rcuu+wyUlNTCQsLO2v7DRs2cPnll7Njx44yB6ZXVmZmJi1atGDVqlVlTsIpImenM0ciIuegsLCQvXv3MnHiRAYOHFiuwgigXbt2vPDCC+zatatK8+zevZvXX39dhZHIOdCAbBGRc/Dxxx8zfPhw4uLieP/99yv03mHDhlV5ns6dO9O5c+cq71fkQqLLaiIiIiIn0WU1ERERkZOoOBIRERE5iYojERERkZOoOBIRERE5iYojERERkZOoOBIRERE5iYojERERkZOoOBIRERE5yf8DsrrMOZEGxWkAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# generating the frequency series\n", + "LS.SimNRTunedTidesFDTidalPhaseFrequencySeries(phi_array, amp_array, planck_taper_array, fs, m1_SI, m2_SI, lambda1, lambda2, nr_tidal_version)\n", + "\n", + "# generating the frequency series from my implementation\n", + "jax_phi_array, jax_planck_taper_array = IMRPhenomPv2_NRTidal.get_nr_tuned_tidal_phase_taper(fs, m1, m2, lambda1, lambda2)\n", + "\n", + "# plotting the phase as a function of the frequency\n", + "plt.title(\"NRTidal phase correction\")\n", + "plt.xlabel(\"Frequency (Hz)\")\n", + "plt.ylabel(\"Phase (radians)\")\n", + "plt.xscale(\"log\")\n", + "plt.plot(fs, phi_array.data, label=r\"$\\phi$ LAL\")\n", + "plt.plot(fs, jax_phi_array, label=r\"$\\phi$ jax\", linestyle='--')\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "plt.title(\"Planck Taper\")\n", + "plt.xlabel(\"Frequency (Hz)\")\n", + "plt.xscale(\"log\")\n", + "plt.plot(fs, planck_taper_array.data, label=r\"taper LAL\")\n", + "plt.plot(fs, jax_planck_taper_array, label=\"taper jax\", linestyle='--')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1.9551410012274015,\n", + " 5.766388625024347e+31,\n", + " 4.971024676745127e+31,\n", + " -0.12887890368373683,\n", + " 0.12830861468564897,\n", + " -0.08322936730942848,\n", + " -0.06303814510757753,\n", + " -0.17058447959491577,\n", + " -0.08322936730942848,\n", + " 20.0,\n", + " 3.085677581491367e+24,\n", + " 2.0,\n", + " ,\n", + " 80,\n", + " ]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from bilby.gw.utils import (\n", + " lalsim_SimInspiralWaveformParamsInsertTidalLambda1,\n", + " lalsim_SimInspiralWaveformParamsInsertTidalLambda2,\n", + ")\n", + "from bilby.gw.conversion import bilby_to_lalsimulation_spins\n", + "\n", + "# Testing a particular set of parameters \n", + "p = {\n", + " \"mass_1\": 29.0,\n", + " \"mass_2\": 25.0,\n", + " \"theta_jn\": 2.0,\n", + " \"s1x\": -0.12887890368373683,\n", + " \"s1y\": 0.12830861468564897,\n", + " \"s1z\": -0.08322936730942848,\n", + " \"s2x\": -0.06303814510757753,\n", + " \"s2y\": -0.17058447959491577,\n", + " \"s2z\": -0.08322936730942848, \n", + " \"phase\": 1.9551410012274015,\n", + " \"f_ref\": 20.,\n", + " \"luminosity_distance\": 100.,\n", + " \"geocent_time\": 0.0,\n", + " \"ra\": 0.,\n", + " \"dec\": 0.,\n", + " \"lambda_1\": 100.0,\n", + " \"lambda_2\": 1000.0\n", + "}\n", + "\n", + "lal_parameter_tuple = (\n", + " p[\"phase\"],\n", + " p[\"mass_1\"] * lal.MSUN_SI, \n", + " p[\"mass_2\"] * lal.MSUN_SI, \n", + " p[\"s1x\"], \n", + " p[\"s1y\"],\n", + " p[\"s1z\"],\n", + " p[\"s2x\"],\n", + " p[\"s2y\"],\n", + " p[\"s2z\"],\n", + " p[\"f_ref\"], \n", + " p[\"luminosity_distance\"] * 1e6 * lal.PC_SI,\n", + " p[\"theta_jn\"]\n", + ")\n", + "lal_parameter_tuple = tuple(float(p) for p in lal_parameter_tuple)\n", + "\n", + "# inserting tidal parameters\n", + "lal_params = lal.CreateDict()\n", + "# lalsim_SimInspiralWaveformParamsInsertTidalLambda1(lal_params, p.get(\"lambda_1\", 0))\n", + "# lalsim_SimInspiralWaveformParamsInsertTidalLambda2(lal_params, p.get(\"lambda_2\", 0))\n", + "\n", + "# create lal object for frequency array\n", + "fs = np.linspace(20.0, 512.0, 1969, dtype=np.float32)\n", + "frequency_array = lal.CreateREAL8Vector(len(fs))\n", + "frequency_array.data = fs\n", + "\n", + "lal_parameters = [\n", + " *lal_parameter_tuple,\n", + " lal_params,\n", + " 80, # IMRPhenomPv2_NRTidal\n", + " frequency_array\n", + "]\n", + "\n", + "\n", + "test_array = np.array(\n", + " [\n", + " p[\"mass_1\"], \n", + " p[\"mass_2\"],\n", + " p[\"s1x\"], \n", + " p[\"s1y\"],\n", + " p[\"s1z\"],\n", + " p[\"s2x\"],\n", + " p[\"s2y\"],\n", + " p[\"s2z\"],\n", + " p[\"luminosity_distance\"], \n", + " p[\"geocent_time\"], \n", + " p[\"phase\"],\n", + " p[\"theta_jn\"], \n", + " p[\"lambda_1\"], \n", + " p[\"lambda_2\"]\n", + " ],\n", + " dtype=np.float32 \n", + ")\n", + "\n", + "lal_parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "test_array = np.array([ 2.9000000e+01, 2.5000000e+01, -1.2887891e-01,\n", + " 1.2830861e-01, -8.3229370e-02, -6.3038148e-02,\n", + " -1.7058448e-01, -8.3229370e-02, 1.0000000e+02,\n", + " 0.0000000e+00, 2.0000000e+00, 2.0000000e+00,\n", + " 1.0000000e+02, 1.0000000e+03])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/work/nihargupte/src/ripple/src/ripplegw/waveforms/IMRPhenomD_NRTidalv2.py:44: RuntimeWarning: divide by zero encountered in scalar divide\n", + " 1.0 - 1.0 / (jnp.exp((yp - y) / (x - y) + (yp - y) / (x - yp)) + 1.0),\n", + "/work/nihargupte/src/ripple/src/ripplegw/waveforms/IMRPhenomD_NRTidalv2.py:68: RuntimeWarning: divide by zero encountered in scalar divide\n", + " jnp.exp((yp - y) / (x - y) + (yp - y) / (x - yp))\n", + "/work/nihargupte/src/ripple/src/ripplegw/waveforms/IMRPhenomD_NRTidalv2.py:70: RuntimeWarning: divide by zero encountered in scalar divide\n", + " (-1.0 + a) / (x - y)\n", + "/work/nihargupte/src/ripple/src/ripplegw/waveforms/IMRPhenomD_NRTidalv2.py:72: RuntimeWarning: divide by zero encountered in scalar divide\n", + " + (-y + yp) / ((x - y) ** 2)\n", + "/work/nihargupte/src/ripple/src/ripplegw/waveforms/IMRPhenomD_NRTidalv2.py:75: RuntimeWarning: divide by zero encountered in scalar divide\n", + " / ((jnp.exp((yp - y) / (x - y) + (yp - y) / (x - yp)) + 1.0) ** 2),\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/work/nihargupte/environments/micromamba/envs/dingo-devel-bns/lib/python3.9/site-packages/jax/_src/array.py:394: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return np.asarray(self._value, dtype=dtype, **kwds)\n", + "/work/nihargupte/environments/micromamba/envs/dingo-devel-bns/lib/python3.9/site-packages/matplotlib/cbook/__init__.py:1345: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return np.asarray(x, float)\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# generating jax version waveforms\n", + "f_ref = p[\"f_ref\"]\n", + "hp, hc = IMRPhenomPv2_NRTidal.gen_IMRPhenomPv2_NRTidal(fs, test_array, f_ref)\n", + "\n", + "# generating reference waveforms \n", + "# lal will flip the lambdas if m_1 > m_2 and do it *in place* so we need to reset it each time \n", + "# lal_params = lal.CreateDict()\n", + "# lalsim_SimInspiralWaveformParamsInsertTidalLambda1(lal_params, p.get(\"lambda_1\", 0))\n", + "# lalsim_SimInspiralWaveformParamsInsertTidalLambda2(lal_params, p.get(\"lambda_2\", 0))\n", + "# lal_parameters[-3] = lal_params\n", + "ref_hp, ref_hc = LS.SimInspiralChooseFDWaveformSequence(*lal_parameters)\n", + "\n", + "plt.xscale(\"log\")\n", + "plt.xlabel(\"Frequency (Hz)\")\n", + "plt.ylabel(\"Angle of h+ \")\n", + "plt.plot(fs, np.unwrap(np.angle(hp)), linewidth=2, label=\"hp jax nrtidal\")\n", + "plt.plot(fs, np.unwrap(np.angle(ref_hp.data.data)), linewidth=2, linestyle='-.', label=\"hp ref pv2_nrtidal\")\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "plt.plot(fs, np.unwrap(np.angle(ref_hp.data.data)) - np.unwrap(np.angle(hp)), linewidth=0.5, linestyle='-.', label=\"angle residual\")\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "plt.xscale(\"log\")\n", + "plt.xlabel(\"Frequency (Hz)\")\n", + "plt.ylabel(\"Real part of h+\")\n", + "plt.plot(fs, hp, linewidth=1.0, label=\"hp jax\")\n", + "plt.plot(fs, ref_hp.data.data, linewidth=1.0, linestyle='-.', label=\"hp lal\")\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "plt.xscale(\"log\")\n", + "plt.plot(fs, np.abs(hp), linewidth=0.5, label=\"hp jax\")\n", + "plt.plot(fs, np.abs(ref_hp.data.data), linewidth=0.5, linestyle='-.', label=\"hp lal\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.9.19" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/src/ripplegw/waveforms/IMRPhenomPv2_NRTidal.py b/src/ripplegw/waveforms/IMRPhenomPv2_NRTidal.py new file mode 100644 index 00000000..b4df9191 --- /dev/null +++ b/src/ripplegw/waveforms/IMRPhenomPv2_NRTidal.py @@ -0,0 +1,410 @@ +import jax +import jax.numpy as jnp +from ripplegw import Mc_eta_to_ms + +from ..constants import gt, MSUN +import numpy as np +from .IMRPhenomD import Phase as PhDPhase +from .IMRPhenomD import Amp as PhDAmp +from .IMRPhenomD_utils import get_coeffs +from .IMRPhenomD_NRTidalv2 import get_planck_taper, _get_merger_frequency +from .IMRPhenom_tidal_utils import get_kappa +from .IMRPhenomPv2 import PhenomPCoreTwistUp + +from ..typing import Array +from .IMRPhenomPv2_utils import * +from .IMRPhenomD_utils import * + +def get_tidal_phase(fHz, Xa, Xb, total_mass, kappa): + """ + Computes the tidal phase from the NRTidalv1 model. + + Parameters + ---------- + fHz : jnp.array[float64] + Array of frequencies in Hz. + Xa : jnp.array[float64] + Mass/total_mass of first object + Xb : jnp.array[float64] + Mass/total_mass of second object + total_mass : jnp.array[float64] + Total mass of binary system + kappa : jnp.array[float64] + Tidal coupling constant + + Returns + ------- + tidal_phase : jnp.array[float64] + Tidal phase from NRTidalv1 model + """ + # Constants + c_Newt = 2.4375 + n_1 = -17.428 + n_3over2 = 31.867 + n_2 = -26.414 + n_5over2 = 62.362 + d_1 = n_1 - 2.496 + d_3over2 = 36.089 + + # Dimensionless angular GW frequency + M_omega = jnp.pi * fHz * (total_mass * gt) + + # Calculating powers of the frequency term + PN_x = jnp.power(M_omega, 2.0 / 3.0) + PN_x_3over2 = jnp.power(PN_x, 3.0 / 2.0) + PN_x_5over2 = jnp.power(PN_x, 5.0 / 2.0) + + # Tidal phase calculation + tidal_phase = -kappa * c_Newt / (Xa * Xb) * PN_x_5over2 + + # Numerator and denominator for ratio + num = ( + 1.0 + + (n_1 * PN_x) + + (n_3over2 * PN_x_3over2) + + (n_2 * PN_x * PN_x) + + (n_5over2 * PN_x_5over2) + ) + den = 1.0 + (d_1 * PN_x) + (d_3over2 * PN_x_3over2) + + # Ratio + ratio = num / den + + # Final tidal phase calculation + tidal_phase *= ratio + + return tidal_phase + + +def get_nr_tuned_tidal_phase_taper(fHz, m1, m2, lambda1, lambda2): + """ + Computes the NRTidalv1 model's tidal phase taper for a binary system with tuned parameters. + + Parameters + ---------- + fHz : jnp.array[float64] + Array of frequencies in Hertz at which to compute the tidal phase taper. + m1 : jnp.array[float64] + Mass of the first object in solar masses. + m2 : jnp.array[float64] + Mass of the second object in solar masses. + lambda1 : jnp.array[float64] + Tidal deformability parameter for the first object. Represents the tidal coupling strength. + lambda2 : jnp.array[float64] + Tidal deformability parameter for the second object. Represents the tidal coupling strength. + + Returns + ------- + tidal_phase_taper : jnp.array[float64] + Array of tidal phase taper values computed using the NRTidalv1 model. + """ + + total_mass = m1 + m2 + q = m1 / m2 + + # Xa and Xb are the masses normalized for total_mass = 1 + Xa = m1 / total_mass + Xb = m2 / total_mass + + + kappa = get_kappa([m1, m2, 0, 0, lambda1, lambda2]) + fHz_mrg = _get_merger_frequency([m1, m2, 0, 0, 0, 0], kappa) + + phi_tidal = get_tidal_phase(fHz, Xa, Xb, total_mass, kappa) + planck_taper = get_planck_taper(fHz, fHz_mrg) + + return phi_tidal, planck_taper + + +def PhenomPOneFrequency( + fs, m1, m2, chi1, chi2, chip, phic, M, dist_mpc, coeffs, transition_freqs +): + """ + m1, m2: in solar masses + phic: Orbital phase at the peak of the underlying non precessing model (rad) + M: Total mass (Solar masses) + """ + # These are the parametrs that go into the waveform generator + # Note that JAX does not give index errors, so if you pass in the + # the wrong array it will behave strangely + norm = 2.0 * jnp.sqrt(5.0 / (64.0 * jnp.pi)) + theta_ripple = jnp.array([m1, m2, chi1, chi2]) + # coeffs = get_coeffs(theta_ripple) + # transition_freqs = phP_get_transition_frequencies( + # theta_ripple, coeffs[5], coeffs[6], chip + # ) + + phase = PhDPhase(fs, theta_ripple, coeffs, transition_freqs) + Dphi = lambda f: -PhDPhase(f, theta_ripple, coeffs, transition_freqs) + + phase -= phic + Amp = PhDAmp(fs, theta_ripple, coeffs, transition_freqs, D=dist_mpc) / norm + + # phase -= 2. * phic; # line 1316 ??? + hPhenom = Amp * (jnp.exp(-1j * phase)) + return hPhenom, Dphi + + +def PhenomPOneFrequencyWithTides( + fs, + m1, + m2, + chi1, + chi2, + chip, + lambda1, + lambda2, + phic, + M, + dist_mpc, + coeffs, + transition_freqs, +): + """ + Computes the gravitational waveform frequency domain representation for the PhenomP model, incorporating tidal effects. + + Parameters + ---------- + fs : jnp.array[float64] + Array of frequencies in Hertz at which to evaluate the waveform. + + m1 : float + Mass of the first object in solar masses. + + m2 : float + Mass of the second object in solar masses. + + chi1 : float + Dimensionless spin parameter of the first object. Defines the spin orientation and magnitude. + + chi2 : float + Dimensionless spin parameter of the second object. Defines the spin orientation and magnitude. + + chip : float + Effective spin parameter, which combines the individual spins and their orientations relative to the orbital angular momentum. + + lambda1 : float + Tidal deformability parameter for the first object. Represents the strength of the tidal interactions. + + lambda2 : float + Tidal deformability parameter for the second object. Represents the strength of the tidal interactions. + + phic : float + Coalescence phase of the binary system, which shifts the phase of the waveform. + + M : float + Total mass of the binary system in solar masses. + + dist_mpc : float + Distance to the binary system in megaparsecs. + + coeffs : jnp.array[float64] + Coefficients used in the model to account for various waveform parameters and tidal effects. + + transition_freqs : jnp.array[float64] + Array of transition frequencies that characterize the changes in the waveform model due to different physical effects. + + Returns + ------- + hPhenom : jnp.array[float64] + Gravitational waveform strain in the frequency domain, including tidal effects. + + dPhi : function + Way to evaluate phase (including tides) at a particular point. We + will take the derivative of this function later + """ + + # These are the parametrs that go into the waveform generator + # Note that JAX does not give index errors, so if you pass in the + # the wrong array it will behave strangely + norm = 2.0 * jnp.sqrt(5.0 / (64.0 * jnp.pi)) + theta_ripple = jnp.array([m1, m2, chi1, chi2]) + + # getting amplitude and phase terms + ampTidal = 0.0 # unused + phaseTidal, planckTaper = get_nr_tuned_tidal_phase_taper( + fs, m1, m2, lambda1, lambda2 + ) + + phase = PhDPhase(fs, theta_ripple, coeffs, transition_freqs) + Dphi = lambda f: -PhDPhase(f, theta_ripple, coeffs, transition_freqs) - get_nr_tuned_tidal_phase_taper(f, m1, m2, lambda1, lambda2)[0] + phase -= phic + + Amp = PhDAmp(fs, theta_ripple, coeffs, transition_freqs, D=dist_mpc) / norm + hPhenom = Amp * jnp.exp(-1j * (phase + phaseTidal)) * planckTaper + + return hPhenom, Dphi + + +def gen_IMRPhenomPv2_NRTidal( + fs: Array, + theta: Array, + f_ref: float, +): + """ + Thetas are waveform parameters. + m1 must be larger than m2. + """ + ( + m1, + m2, + s1x, + s1y, + s1z, + s2x, + s2y, + s2z, + dist_mpc, + tc, + phiRef, + incl, + lambda1, + lambda2, + ) = theta + + # flip m1 m2. For some reason LAL uses this convention for PhenomPv2 + m1, m2 = m2, m1 + lambda1, lambda2 = lambda2, lambda1 + s1x, s2x = s2x, s1x + s1y, s2y = s2y, s1y + s1z, s2z = s2z, s1z + # from now on, m1 < m2 + + ( + chi1_l, + chi2_l, + chip, + thetaJN, + alpha0, + phi_aligned, + zeta_polariz, + ) = convert_spins(m1, m2, f_ref, phiRef, incl, s1x, s1y, s1z, s2x, s2y, s2z) + phic = 2 * phi_aligned + q = m2 / m1 # q>=1 + M = m1 + m2 + chi_eff = (m1 * chi1_l + m2 * chi2_l) / M + chil = (1.0 + q) / q * chi_eff + eta = m1 * m2 / (M * M) + m_sec = M * gt + piM = jnp.pi * m_sec + + omega_ref = piM * f_ref + logomega_ref = jnp.log(omega_ref) + omega_ref_cbrt = (piM * f_ref) ** (1 / 3) # == v0 + omega_ref_cbrt2 = omega_ref_cbrt * omega_ref_cbrt + + angcoeffs = ComputeNNLOanglecoeffs(q, chil, chip) + + alphaNNLOoffset = ( + angcoeffs["alphacoeff1"] / omega_ref + + angcoeffs["alphacoeff2"] / omega_ref_cbrt2 + + angcoeffs["alphacoeff3"] / omega_ref_cbrt + + angcoeffs["alphacoeff4"] * logomega_ref + + angcoeffs["alphacoeff5"] * omega_ref_cbrt + ) + + epsilonNNLOoffset = ( + angcoeffs["epsiloncoeff1"] / omega_ref + + angcoeffs["epsiloncoeff2"] / omega_ref_cbrt2 + + angcoeffs["epsiloncoeff3"] / omega_ref_cbrt + + angcoeffs["epsiloncoeff4"] * logomega_ref + + angcoeffs["epsiloncoeff5"] * omega_ref_cbrt + ) + + Y2m2 = SpinWeightedY(thetaJN, 0, -2, 2, -2) + Y2m1 = SpinWeightedY(thetaJN, 0, -2, 2, -1) + Y20 = SpinWeightedY(thetaJN, 0, -2, 2, -0) + Y21 = SpinWeightedY(thetaJN, 0, -2, 2, 1) + Y22 = SpinWeightedY(thetaJN, 0, -2, 2, 2) + Y2 = [Y2m2, Y2m1, Y20, Y21, Y22] + + # Shift phase so that peak amplitude matches t = 0 + + # theta_intrinsic = jnp.array([m2, m1, chi2_l, chi1_l, lambda1, lambda2]) + theta_intrinsic = jnp.array([m2, m1, chi2_l, chi1_l]) + coeffs = get_coeffs(theta_intrinsic) + transition_freqs = phP_get_transition_frequencies( + theta_intrinsic, coeffs[5], coeffs[6], chip + ) + + + hPhenomDs, phi_IIb = PhenomPOneFrequencyWithTides( + fs, + m2, + m1, + chi2_l, + chi1_l, + chip, + lambda2, + lambda1, + phic, + M, + dist_mpc, + coeffs, + transition_freqs, + ) + + hp, hc = PhenomPCoreTwistUp( + fs, + hPhenomDs, + # phase, + # Amp, + eta, + chi1_l, + chi2_l, + chip, + M, + angcoeffs, + Y2, + alphaNNLOoffset - alpha0, + epsilonNNLOoffset, + ) + + # for BNS the final frequency is not the same as BBHs + kappa = get_kappa([m1, m2, 0., 0., lambda1, lambda2]) + f_merger = _get_merger_frequency([m2, m1, 0, 0, 0, 0], kappa) + f_final = f_merger + + t0 = jax.grad(phi_IIb)(f_final) / (2 * jnp.pi) + phase_corr = jnp.cos(2 * jnp.pi * fs * (t0)) - 1j * jnp.sin(2 * jnp.pi * fs * (t0)) + M_s = (m1 + m2) * gt + phase_corr_tc = jnp.exp(-1j * fs * M_s * tc) + hp *= phase_corr * phase_corr_tc + hc *= phase_corr * phase_corr_tc + + # final touches to hp and hc, stolen from Scott + c2z = jnp.cos(2 * zeta_polariz) + s2z = jnp.sin(2 * zeta_polariz) + final_hp = c2z * hp + s2z * hc + final_hc = c2z * hc - s2z * hp + return final_hp, final_hc + + +def gen_IMRPhenomPv2_NRTidal_hphc(f: Array, params: Array, f_ref: float): + """ + wrapper around gen_Pph but the first two parameters are Mc and eta + instead of m1 and m2 + """ + Mc = params[0] + eta = params[1] + m1, m2 = Mc_eta_to_ms(jnp.array([Mc, eta])) + m1m2params = jnp.array( + [ + m1, + m2, + params[2], + params[3], + params[4], + params[5], + params[6], + params[7], + params[8], + params[9], + params[10], + params[11], + params[12], + params[13] + ] + ) + hp, hc = gen_IMRPhenomPv2_NRTidal(f, m1m2params, f_ref) + return hp, hc