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@rjw57
Created November 10, 2015 18:24
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will be using some third party Python modules in this notebook. Use ``pip`` to install them:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Requirement already satisfied (use --upgrade to upgrade): pyrr in /home/rjw57/.local/lib/python3.4/site-packages\n",
"Requirement already satisfied (use --upgrade to upgrade): multipledispatch in /home/rjw57/.local/lib/python3.4/site-packages (from pyrr)\n",
"Requirement already satisfied (use --upgrade to upgrade): numpy in /usr/lib/python3/dist-packages (from pyrr)\n"
]
},
{
"data": {
"text/plain": [
"0"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pip\n",
"pip.main(['install', 'pyrr'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In addition, we'll be using matplotlib and numpy a lot:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from pyrr import Quaternion, Vector3\n",
"\n",
"# Configure some defaults for matplotlib\n",
"plt.rcParams['figure.figsize'] = (14, 9)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have a test set of measurements stored in a file. Despite the extension, this file is not a comma-separated variable file."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Available sensors:\n",
" - AK8963 Magnetometer\n",
" - BMP280 Barometer\n",
" - GPS\n",
" - MPU6515 Accelerometer\n",
" - MPU6515 Gyroscope\n"
]
}
],
"source": [
"import json\n",
"measurements = []\n",
"#src_file = '../data/motion-test-2.csv'\n",
"src_file = '../data/attitude-only-motion.csv'\n",
"with open(src_file) as f:\n",
" for l in f.readlines()[3:]:\n",
" _, type_, value, time = l.split('|')\n",
" time = int(time)\n",
" value = json.loads(value)\n",
" measurements.append((time, type_, value))\n",
"measurements.sort(key=lambda m: m[0])\n",
" \n",
"print('Available sensors:')\n",
"for t in np.unique(np.sort([t for _, t, _ in measurements])):\n",
" print(' - ' + t)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll stack these measurements into their own 2d arrays."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"min_ts = np.min([t for t, typ, _ in measurements if not typ.endswith('GPS')])\n",
"\n",
"accel_ts = 1e-3 * np.array([t - min_ts for t, type_, v in measurements if type_.endswith('Accelerometer')])\n",
"accel_vs = np.array([v for t, type_, v in measurements if type_.endswith('Accelerometer')])\n",
"\n",
"mag_ts = 1e-3 * np.array([t - min_ts for t, type_, v in measurements if type_.endswith('Magnetometer')])\n",
"mag_vs = np.array([v for t, type_, v in measurements if type_.endswith('Magnetometer')])\n",
"mag_vs /= np.sqrt(np.sum(mag_vs ** 2, axis=1)).reshape((-1, 1)).dot(np.ones((1, mag_vs.shape[1])))\n",
"\n",
"gyro_ts = 1e-3 * np.array([t - min_ts for t, type_, v in measurements if type_.endswith('Gyroscope')])\n",
"gyro_vs = np.array([v for t, type_, v in measurements if type_.endswith('Gyroscope')])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll also create an array of time, type and index into type-specific array triples."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"meas_time_type_idx = \\\n",
" [(t, 'accel', idx) for idx, t in enumerate(accel_ts)] + \\\n",
" [(t, 'mag', idx) for idx, t in enumerate(mag_ts)] + \\\n",
" [(t, 'gyro', idx) for idx, t in enumerate(gyro_ts)]\n",
"meas_time_type_idx.sort(key=lambda m: m[0])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gravity accel.: [ 9.32617200e-03 2.33938600e-01 9.64109800e+00]\n",
"B field direction: [-0.00393051 -0.48042948 -0.87702455]\n",
"Up direction: [ -9.67049950e-04 -2.42575744e-02 -9.99705274e-01]\n"
]
}
],
"source": [
"# Take mean of initial few measurements of g and B as true values.\n",
"# (Equivalent to assuming initial body frame is aligned with reference frame and sensor stays still for a bit.)\n",
"g_accel = np.mean(accel_vs[5:10, :], axis=0)\n",
"up_dir = -g_accel\n",
"up_dir /= np.sqrt(np.sum(up_dir**2))\n",
"B = np.mean(mag_vs[5:10, :], axis=0)\n",
"normB = B / np.sqrt(np.sum(B**2))\n",
"print('Gravity accel.:', g_accel)\n",
"print('B field direction:', normB)\n",
"print('Up direction:', up_dir)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot the measurements versus time for each sensor:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7e23d03358>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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VEVGBzZs3D9dccw1effVVDBo0qN/2yzlHRERERERUMlatWoUTTzwRt9xyC3bZZZd+3TeD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\nWJ0cdshm2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L+fgrfWURWuXZ27UO4ux8xRM3Ho0ENx/3H340+n/Km7TRFutxZPJsVRJp0j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\nAJIIRwAAAAAgiXAEAAAAAJKk/weEWgdF9B8fBwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e244615c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for line, label in zip(plt.plot(accel_ts, accel_vs), 'XYZ'):\n",
" line.set_label(label)\n",
"plt.legend(loc='best')\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Acceleration [m/s/s]')\n",
"plt.title('Measured linear acceleration')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7e23c7fe80>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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REpGMZu3kT5Pxpz/9ic2bN/P+97+fyy+/PDlPagxKlEREJC28UP0CR845ktK8Utp62+gf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9pa0C7aERUeiFG8fjZu9J/5QWQkEB5urp4IiogSoKOYkmEYJvRgocSENhUV1JVeDwMGAPn5hjeR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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e23cf4e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for line, label in zip(plt.plot(mag_ts, mag_vs), 'XYZ'):\n",
" line.set_label(label)\n",
"plt.legend(loc='best')\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Magnetic field direction')\n",
"plt.title('Measured magnetic field direction')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f7e23c67be0>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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g6tZyOScOp0XQ0qWlmpMQQkh3QBFEepp5iXklt3s9DjedmwYATOWmYIQMGCED\nOSvnuU6Q5rbnbsNtz92GEw8+ca6GOadoEXTvvcBb3wpccokSPloEbdsGLFhQ2hhh+/bZ+7Es5R5R\nBKE0L+gVhwOA669XNodpNh5rK3eCyvuSe71eB5AVnKjHHlMf1R13qHPtxz9WAqjasLVD+ac/OXE4\nAFi0yFnQlxBCSPfAxgikp5kXLxVB1WpneoFUrswJEsoJElUK0686WjWBMC2PQpgAoOepf/wjsHo1\nsHw5sGaNE4cbG3NEEONwNdAiyP0hVHKC/u3f1HYhGl/vp9wJ6tLFmSo5Qe98J/DKV6qo5T//M/DS\nl9bWbZGIevwJJygR7hZBfbhcEiGEdD29PWMkfYlVcCZwo/HRkvt6vTYmZaYwGB0siqB6nKBTXnoK\nlg0tw+bp7mxD3Cp63v7YY8B++wF77KFKSrQTlM3OdoIogiqgP0y3s1MtDgeo+xrNc5U7QeWOS5cc\nBAlvJ0i7j+PjwOio50NmEYmouiFAfVxaBC1eTCeIEEK6EYog0nO4F0MtXyz1gjdcMNfD8ZVULoUF\niQXI5DMlNUHVWmQDwHBsGFPZqTka5dyiy1emp1V9xYEHqgJ1LYIAYP581R3ONKsvlkoRVMEJqmZz\nRCLNO0HuONwjjwCnnqpu6/112CGq5AQtWKAuJyZUvVk9RKOOCALoBBFCSLdDEUR6gq2prbjh8RsA\nKLdnND4Kef7sX3GNkIHbT7odI7E6Zy5dxnRuGguSagbmdoJqxfwGIgPFpgpBw13DH4spIbRhgxOH\nA5QIquUE6ZqgLk1mzQ1eTlAuV9sJahS9f22BmCZw003A1Vc7rwl0XJFWqgnSzey2bq1fBEUi6hzU\nDAyoy4UL6QQRQkg3QhFEeoLvPvBdnPCzEwAA2Xy2are0Vy5/JcxCb9bHpMwUFiYXAkBJTVC1OBwA\nDEQHivVEQSNdtg7s6KhafDIed0TQggXOOkHV4nBsjNBATZCmGRGk96kPnmk6Pc4BRxV0eB2hSk6Q\n/piefhoYHq5vX9GoOgc12k1atoxOECGEdCMUQaQn0M6OlBKZfKZqFzi9vk4vksqViiA6Qc48Wie2\ndI3GwIAjgnbbTXWJYxyuBl7iox0iKJ9XeTBtjeRywJYt1cfRASypToZyR0gPe/16tfhpPUQipSIo\nmQRuuQXYfXc6QYQQ0o1QBJGeYkd6B7JWdScoEoogX8hXjLp0MykzhdGYU4ldb01QPzhB+hd5LYKS\nSUcE7bmx2Oj2AAAgAElEQVQnsHmzms8nk/U3RvjZz1RL475hruJwplkqgkxT2Xf6ulYFHVakuslK\nuSOUSqkYG1C/E1QuggDV0l23ziaEENJdcJ0g0hPoZgjTuWnlBFVZFFUIASNkwCyYiIa7Yz2SepnO\nTWMgqooJ8oU8QiIEs2DWjsMF3Al6xSvUhBIA5tld0QcGlKgBgJUr1SKqhqG2VasJcs+73/lO1Wjh\n8cfb+x66hmYbIwBAqIHfzLycIH1QZma6xgnSsVlLWgjD+Y7NzAC77qpaXdfrBJXH4TSVzkdCCCGd\nhSKI9ATZvJo0ZfKZmjVBgHKDTKv3RNCMOYOBiCOCwiIM0zLri8MF1AnKZJRjs/vu6vb8+epyYECJ\nHkCtHbRjh9oWjTYWh+urRgnNtMhOJtVlIyJIO0HaxsvlnOvZrKMKOiyC8gX1+uVO0MyMWhz1kUda\nc4IAdT4yDkcIId0H43CkJ9BOUNpM16wJAoBIONKTzRFSuVSJExQOhZUTVE8cLsBOUMLVCV0XnCeT\nzvIzeg6fSlXu6FxJBJU3Xgg0egGbRhoj6PxhI9E17QRpVWCajiuUzXZNHK6SCEqnnfMsXv33liJa\nBB1wgFrTSkMniBBCuhOKINITlDhBNWqCAMcJ6jVSZgrJiPrlvSALKg7X505QuQjScbh4vNTF0a2M\nK9VgVOoO1+g6oD3LhRcC99yj7LJ8XinIqanaIsjdI7pe26y8Jkg7QbFYVzpB7gWYATUsIdR1fVkL\nHYdbtgxYtap0O50gQgjpPiiCSE9QdILy6Zo1QYBygvQEp5dwx+EKstBYi+wAOkFSzhZBOgJnmqWx\nNy2OKsXhLMvbCXKv7RJoPvtZ4I47VPs8ywIuuURlveoVQYYBfOlLwAc+UPu1tBOUTqvnaSdo3ryu\nFEHlTpBp1h+D02gnqLy8io0RCCGkO6EIIj1BUzVBvRiHM504nISsPw4XUCcol1Nz6HDZ2z/gANXQ\nwC12dGqr0Thch+fhc492gp59Vt2uVwRFIsDllwNXXln7NdxOkF64aWZGHSS3COqSOJxula0xTeCc\nc4Dbbqt/X9oJKhdB4XDH3yYhhBAP2BiB9ATaCcrkM/XXBPViHC7nxOGsglV/HC6gTlC5C6R54gl1\n6Y4q6V/uq8Xh+rIxwrPPAnvv7dzWIkh/eLVEkP5gDaO+bNh9980WQZmM2jYyUtoprgudIH1+LF+u\n/upFO0HlH6VhUAQRQkg3QieI9ATuxgj11ATpFtm9RtNxuIC2yE6nqxemf/nLwM03q+tuEaQdIne9\nj64JKhc9PbicVP3k88A++6hVPzWDg411h9tlF3VpGLVzXZYFvPrVql+5WwRNTKjbPVATlM83tzRS\npTicYXT8bRJCCPGAIoj0BNl8FiOxkfqdoB5ujKDjcAVZKMbhajlBcSNejAwGCd3MrBILFwJvf7u6\n/rrXqZITHYe74w71XC1yvNYJ0tsDiy540guVArNFkGU5hVZenHkm8MIL6oOtVeGv79cHzjSVCEqn\nVTs/LYK0Su2SOJzbCTLN6h9HJXQcrlxAhcMUQYQQ0o1QBJGeIGtlMRIfqb8mqIdbZOs4nIQsxuFq\n1QTFjFjRLQsSleJwXpx7LrBzp+ME6TbFzz2nLvsyDqetsOlpZ9vQkPow9BsPharH3MJh1fLMMGq3\n0tMf7vS0s77QgBL1nk6QVweLOUSLn3IR5LcTFGihTQghPQpFEOl6UrkUsvksRuOj9XeH61EnyB2H\nswpW3XG4WDgWSCeoERGkCYVUhG7DBnX7z39Wl5VEUKDjcFq0uMWGrgnSLlG9KjASqT2b15bH9LRz\n4LQIcjtBWgR1WIHqGJy7MUKzIkjXopU/V68xG2ixTQghPQhFEOlq7lhzBwa/PKicIFccLrBOkCsO\nFxKhhuJwmXzwFrxpRgQBqv5+7VoVj3vmGbWtUhwu0HiJIN0WO9VgDVk9GTG3E6SLufQB9HKCOi2C\nbPHjlxMEzHaCAEbiCCGkG2F3ONLV7EzvBKBqgpYMLkEmn0HOymEwOlj1eb3qBOk43Mde9TGsnLcS\nv3zql4zDtSCC9tkH2L5dbfNygoQIuBOUTqtLd0MDHYfT99VLPcrALYL0gdOqwDBUPdKjj6rcItB5\nEaSdoLLGCM3UBFUTQYzEEUJI90ERRLoaPfmfyk1hv/h+SJtp5KwcEsPVZ8a96ARZBUu9NyOBi99y\nMQDgV//4VbE2qBqMw5UyMgI8/zzwlrcA27apbV4iKBQK+OTUywnSIqidTpC7o4VbBC1fDpx/vvP4\nDosgr5qgZkWQfpteWpFOECGEdB+Mw5GuRke8ts9sL8bhxrPjgXSCxjJjGImPQLiK1LUIrFUTFOQ4\nXLUW2ZUYGVEO0B57AFNTalslERRY1qwBNm1S191O0OBg++Jw7pm+FkFaFUQiwH77lT6+wwpUx+Ek\nHDvQsmYvzlsPtZwgiiBCCOkugjwFIAFAT+wnMhMYiY3g50/+HD/+249ri6Aec4K+/Zdv4x3XvwN7\njOxRsl2LH8bhGmNkRF0uX+7U/3vVBAVaBB16KHDcceq6VxxOfzD1UisOl06XfrjlIsgwgP/zf5z7\nDQN48UXg0ksbG4eP6Bhc+WKprcThvD4mxuEIIaT7CPIUgASAtKnqFsyCidH4KLaktgBAQ07QXWvv\nwqapTe0daIt86e4v4Z4N9+Cw3Q4r2a5jcP0ah0ul1Jy9UbQI2ntvZ67fd07Q5KRz3S14tAiq1e66\nnFrKIJkEfve70ttAqQhKJoHbb1e343Hgpz8Fzj67sXH4iFdjhHy+OSdIO0BsjEAIIb1BkKcAJAC4\nI14j8ZHi9VrxMLcTtPqa1bjw7gvbM0Cf0KJuND5asr3f43BTUyq91Sh6Irrbbn0sgty4RZBeLLUd\njRGeftq5Xu4EaWWx667qMhZrznLxEa+aoGbjcNVEEJ0gQgjpPvplCkB6FPfE3i0QDll6SNXnldcE\nTWYnqzy68yQMNWGcJYJs8VPTCTJiyFk5yIC1Opuebk4Eff7zynBIJktFUDRaWovfNyIolVJi5H3v\nc1aT9dsJAkpjd1oExew1vbQ60CJowQLVLruDaCdo+8x2nHPbOWpbiyKoUhyOThAhhHQX/TIFID1K\nOu/8Wj0SU07Qx171MSwdXFr1eZFQaU1QJNTEwh9zSCKiJoz6PWq0+KlVE+ReUyhINCuCFi8Gjjii\nVAR51QRpzRj0X+lzk2OYTISAH/7QmZE3KoLqcYLc6sGrMQKgDsrBBysx1GkRZNcEPbT5IXz93q+r\nbU2KoHKt54ZxOEII6T4ogkhX43aChmKqOGQ4NlzzeZGwcoKKcRd093Lt2gkqXwRWi59aTpB+btDq\ngqammqsJ0gwMVI/D6YmpGSztqHDNxid2bsJ0wT43IhHl2GSzwHveA7zjHfXtTztB1RSC21orb5Ht\nFlGPPqoOTqdFkO0Eub9fzTZG0CKIjREIIaQ34DpBpKtxiyAtFIaitWfF2gnSjRWmc9PtGaBP5Av5\nkktNsTtcjZogQDVHyOQzRbEYBJp1gjTxuDI8CgUnDiel+hPCWRMmkBPUaLQYTzPSOcyEASklhGGo\neFwsBlx7bf37qyaCvNb7qeQEaUKhjougSusE+e0EMQ5HCCHdB50g0tVoEQM4kbF6naB8IY+UqdZC\nSeUaXBNljskX8liYXIh/2etfSrbXG4cDgtkmu1URFAqpyWkm4wge9wKplqXuD+QEVc/GEwlgZga5\nsC2yDUNZbI32Hi9vcOBGN1lwixq9f8MADjgAOPLI0ueEQo4F16FatkotshmHI4SQ4EMniHQ1Gctx\ngnRUrC4RFIrgE7d9AvstUIszdrs4MAsmbj3xVuw+snvJ9kbicEFqk33llcB99ykR1EocDlBzd9N0\nYk7hsLquk1uRSECdIC1aRkaA1DTMkBJBkUhEiaDR0erPL0crA69uErohgrvOSIsgIYAnnpj9nFDI\nUQbNZtBaxKtFdqsiiHE4QgjpDSiCSFfjFYer1wkCgCsfvhIAul4c5At5GKHZX8dG4nBBapP93e8C\nDzwAvPSlrTlBgNMMTTtBWgQJUXo7cGhLYv58YCYN0+0EZTIqK9gI1bpIaDHjdoL0/oXw3l847Ign\n0+yMCLKdIH0ppYRlCcbhCCGkD2AcjnQ17kl9o04QAPzyqV/O2k83YlqmZwe7ehdLBYIVh9MTyVbj\ncIDTB0DXemjRo28H9ld6bUksXAiRmoEZUo5jUWw0GofTH5KezbsjbF4iSB/ESiIoFCoVQR1AO0C6\nFq8gC21xghiHI4SQ7qOjIkgIcZUQYosQ4rFOjoN0L5l8puiCDEQHAACLBxbXfJ52ggC19k63i4Oa\nTlA9NUEBisPpiaRfIsg01V80WiqCtBMU6AnqyAhCqRlkDZcTBDTuBLlF0F//6sTiPvUp7zhcJfGj\ncdcEdUgE6Ticbi1vSat4XjRKLScokEKbEEJ6mE47QVcDOLLmo0jfkslnkIwkAQBGyMCzZz2LfRbs\nU/N5bldlfmJ+14sDs2CWCDeNFj/9Eoc780zgySedSWirLbIBp0laLlcqgsprhAKHFiZDQwjPzCCr\n43BaYTYqgrRSDIWA9eud17joImDdOnXba+2hSivSdoETpGNw2gmyClbTTpA+Z73eLuNwhBDSfXRU\nBEkp7wYw1skxkO4mbabxxpVvLN7ea/5edT3Pvd7OvPi8OXWCmpnP5Qt5xuEAfOc7wM03O/P0VEot\nJ9MKOg5nmuq6lxMUWBH0k58Ab34zwqk0soaKXbYch3PbGlNT6nLM/mfcq+V1pUVWu8kJstTrtxKH\n03h1Cw+820gIIT1Ip50gQiry6IuP4sHND+ILq7+AyU9NNvTcmBErXh+Jj8yZE2RZym0Ya1Dam5bp\nGYfTwqif4nCjo86v6fF4axNSQB2PmRk1dxeij2qCslngLW8B4nFEZrKOE9RsHC7rWmxVz/S18zM5\nWXrbzYoV3vsrb4zQAQqygLAIl8ThWhVBu+8+e1tgzzFCCOlhur473Oc///ni9dWrV2P16tUdGwuZ\nW370tx8BAPaev3dxjaB6WZBYUHJ7rhySrVudy3nz6n9evpD3jMPpbV4CqZy4Ee9pJ0jX2bsNglis\n8uPrJRJRjpKu1dAiSMqA1wRls+oDjEQQNvOt1wRpEWQYjniZmVGXWgRls8CSJcAee6jb7l7k5bjj\ncB06AFbBQiQcKTpBrcThgMpvN7DnGCGEdIg777wTd955Z0v76CkRRIKNVbBw5cNX4vSXnQ4hBDL5\nDC498tKGBRAAHLP/MXj0Q4/ikO8egpAIzZlDotNBem5YL2bB2wnS2+oRQTEj1tM1QXqSmE47n1+l\n+XMjRKO1RVDgfqWXskQEAUA2XNYdrhURlLIXH56YUJduJ+i1rwV+9jN1u9oBdKvdVEq5S34c8Aaw\npAUjZMzqDtdst+5Kw2dNECGE+Eu5MXLBBRc0vA/G4UjXsHFyIz746w8WJyQT2QmMxEaa2lc4FMbB\nSw4GoATEXDkk6bS6bFQEVaoJ0tvqEkE9HofTpsD0tL8iKBJR+9QiSEeTAl0TlM+rDy8cdkSQdoLc\nq8Q2gjsOV+4A6ctcrn4bJRRy7L+XvQxo4j+wVrEKSgSVd4drNYJZDuNwhBDSfXS6RfZPANwDYF8h\nxAYhxCmdHA/pLDlLzYK1mzGRmcBIvDkR5IUWV+1El0RoMVQvFWuCGojDxcK93RhBz7EzGefz80sE\neTlBga4JymYdp8e2NYo1QZpG7Y5Vq4ClS9XztAjSTpC+zOXq32+50nj00cbG4wMFWUAkFHFEUMHC\n97edDBn211FlHI4QQrqPjsbhpJTv7uTrk+5CT+CzVhZDGMLO9E7MT8xvaZ8/Pf6nOGjRQXjF2lcg\nm8/CiLb3lG/JCfKqCWrACer1FtluEaQ/Pz9+kfeKw+XzpS2yAzdB1VE4oMQJ0rUv7u11c9VVKrJ2\n4IFOHK68IUKjTpCbDhwES5bWBBVkAffO/BDLY58BsJ9vrxNIoU0IIT1O19cEkf5BR7n0RH77zHYs\nTC5saZ8nHHQCAKdpwABa7Ldcg2ZEkF6rxKsNdkNOkBGMOJxbBHktPNko5XG4vlgnyC2C/HKC3PvT\nB0gXwWkRlM02L4K8eku3GR2HK64TZLfMFmF/u9UZRsca4BFCCKkAa4JI16DjcHoivyO9o2URpJkr\ngaBFkNdyKZWo5AIBziKpda0TFMA4nB8iKBr1FkGBrgnKZDydoBIR1KzNFok4B2h6Wl3aB0/mcpD1\nZhjLHydEc+NpAR2H05+L/jdIGP4qlkiEIogQQroNiiDSNegJfCafQUEWMJYeazkOp5krgaDnho3U\nBFXqDAcAooGJYdDicCtXAnvu2fp+IxFgfNxZdLVcBAUyqvTCC8CiRep6eXc4TbMt0Ko4QSKXw6+f\n/y0u/+vlkLrpQSW6QATp7nD6c9HfHxHyN5oXjVIEEUJIt0ERRLoG7dRkrSx2pndiKDZUVwysHuba\nCfJaM7ISlTrDAYBA/RPDoMThJibUvP2++5xOy60QiajFawcH1W13d7hwOKA1QbffDrz+9eq6jsOV\nO0GN1gRp3C2ytQhyWZ/rU5vwH7f8BzZPb66+H79bsDVB+TpB2gmCz3G4SMQ5vwkhhHQHFEGka3A7\nQWvH12KPkT182/dcOUFa/DQigip1hgP60wkaGwOSSWVkDA21vt9IBNi5c7YTFOiaoMlJ1ckNKIod\n0xCljRFaicOVO0Eu69OyT9kZs0ZhnHaCmnGkjj0WuOKKxp9XhiWtku5wRZEYYhyOEEKCDkUQ6Rrc\nNUFrxtZg5byVvu17rlySZkRQtZqgRogbcWSs3hdBO3cqEeQXkYhyl7QT1Bc1QTMzzodoiyARi5c6\nQc2+6WqNEQBY9v8qNQW5FkG6lXcjcbgbbwR+8IP6H1+BgiyUNEZolxPEOBwhhHQfFEGka9CTJrNg\nYs34Guw56kNBiM1cOUHZrJrb+VUTVE9DBE2vO0G5nOPaJBL+7bc8Dqfjb4GuCcrlgGgUUkr8bu3t\nAAARd4mga64BzjqruX17xeHcIsjWMnWLoGYPdqN96D0oLpZqlTtB/uYjGYcjhJDugy2ySdegJ005\nK4eHNj+Et+z1Ft/2HTNicyIQMhlgdNS/miDdHa4eEkYCabPBVVq7iGwWGBlRImjvvf3br2FUbowQ\n2Jog08S///5sHLAqhS/f+lFsBiASCacxwkknNb9vLyfIHYcLqZbuDTtBHUCvEzSdU13udLv6dtQE\n0QkihJDugk4Q6Rr0BH5neiduffZWvHHlG33bdyw8N3E4PZH3qyZoz3n1u2GJSALpfO+LoEzGESx+\noLvDlcfhAl0TlMthLD+Nm5++GTO2vg7Hk6VxuGZxt8iemlJiJpMpipl8CNhlcJfa3zddk9RMHM4n\nrIJdE2Q7QXqdIL9rgqJROkGEENJtUASRrkH/cvz82PNYOrgUu4/s7tu+Y8bcNUZoygmqUBP0ppVv\ngnVefTP0XneCcjlgeFhd91sEZbOVW2QHUgSZJswwMJ4ZR8o+tYzEgD8iqDwONzBQIoIsAew2sltt\nQd5qHM4H0aRrguaiMUI26xhnhBBCOg9FEOkatAh6YfIFLB5Y7Ou+40Z8zpyg0VH/aoKA+uuC5qom\naM0aYNs2f/e5cydw2WXKCQL8FUG6+ZhXi+wg1wTlwsBYegyWNlyMeGl3uGbRcbhIpEQEzYQLAIDT\nXnEGlg4urf19azUO54MI0nE4LX50HE62wQm69FJH5BNCCOk8FEGkK0ibaZx353kAgI1TG30XQdFw\n1On81EaaicNVqwlqhLmKw61cCbztbf7u8+c/B/7yl/Y5QYB3d7gg1wSZIWAsM1bcFI375ARFIuoE\nHxpSrbgHByEzGWzLTwIA5g8uqq8RSbkT1KE4nLs7nBOH878xAiGEkO6CIoh0BQ9tfqh4fePkRiwZ\nWNLwPtLGID531oTnfZFQxJ8JYA2aicNVqwlqhLmMw23Z4u/+dHnI/Pnqsh0iqFIcLhQCCgX/Xq8r\nsONwO9M7AQAfPRJ4YdUe/sXhACWC8nlgcBBCSmTszZFIvL6W9Pqgx2LNjcMvJ8hdE9QmJ4giiBBC\nug+KINIVFKSahZ50yEnYONmEE5TPI2GlcPdPN3ne7f61t500G4fzbZ2gOWqR7bdzotcImos4XL80\nRsi5Ggte9iogPjACs2Di8a2Pt7Zv/YFq287+YLP264UjUURD0fqdIL0/r4Pw/POVFXcba4Kk8D8O\nV3zNoAluQgjpUSiCSFcwnhnHUfschV0Gd8F4ZrxxEbR9OwBgIOStPuZCBH3/+yod1ExjBF+coDns\nDue3CNq6VV3q+bDfi6UCldcJCocDODG143BukpEkclYOq76zCpPZyeb37XaCAFgD6mBl7c3CMOpz\ngrQI0o6Q10l10EHAYYc1P9YaWAVVE1TeHa6dTtCEt1ntD4+3KHAJIaSPoAgiXcF0bhpD0SHMT6g8\n1F7z9mpsBztV7CcJ7wUU3b/2tgPLAj74QeD++5Wb8cADwDnn1Pdc0zJ9qQmaSyfIb+dkk23gSaku\n/YwPVYvDhcNqLh44J8g0S5wgQNXFpXKqq9tYeszjSXVSpip/uf42ACjG4RAON1YTpC+9FtLJZIC1\na53ba9c6nel8isMZwpjdGMFnJ8h9Pu/Y4euuHaQEVq1SnUsIIYTUhCKIdAU5K4doOIrhmIrYvHzZ\nyxvbgW29rMg9DXznO7PubndNkI6/pVLAvHnq+i9+Ud9z/XKC9FpIUiuJNuK3E7R5s7pcbBuAIR//\nZdKuUqXucEGNw5keImgiq2wIvThoU5Q5QdN21EvH4RAOI2bEajciKRdBXidVuU23557Apz6lrrco\ngvKF/Kw4XNEJEv6e4O6yJ9u09h/9+YXD1R9HCCEEAEUQ6RK0CHrVrq/Ch1/xYSxILmhsB3ZRyYem\nvgqceeasu9sdh3PXAO26q7pctKi+5/pVExQOhdvueGm8frRvhW3bgOuuA846S932cx6nHaByJ8hd\nExTkOJx2GSPhSDEG19I5omuB7MuUFkHlTlC9jRGqiSAvtGJuQQTlC3lEvqg+l3AoXIzDFWuCfI7D\nueOdbXOC9Ofn95eTEEICCkUQ6QrMgoloOIpDlx6Kbx71zcZ3oCvrK7ggRsjwZ42UCrhF0D77qMtl\ny+p7rl9OEDB3kbgZ79RhS/s78EBnsuhnTVC5E+TVHS6ITpCOw2l3NRqOOiKole/C0qXqsswJKsbh\nIpH6FieuJw7n9X32wYZ010SFRKjoALUrDqcF+MhIG0WQPokD1++dEELaA0UQ6Qq0E9Q0dhwuJr0F\nQLudIHcjhJER4OabHV1WC79qggAgZsTaLoJ0tMdP9ySddtbMfMMbgDe+0b9962VotBgqF0GBdYJs\nEXTaS0/DYbsdViKCWloza/lydWmLoZR96hbjcJFIfU5QPY0RNEcf7VzXk30hgPvua8oRmsg43QkE\nnOfrfyMKaI8TtGIFRRAhhHQLFEGkK8hZudaEgK044nLuusPF48CGW/8OvPhiiRM0NKTuq1cE9ZoT\nVCgoITQ15d8+MxlHrPzxj8Chh/q3bz1Hds+5+6Exgo7Dvecl78GfT/1zSU1QS3G4ww9XKnXhQgCu\nmiB9Ctvd4XZmduJzf/xc5Rq1emqCNDff7Fx3i6Dnn2/qLfzuud85wxDOf4PaESq0yQlasWIOaoIY\nhyOEkLqgCCJdQbudoEjY38YIUiqRs9tRLwHe//4SJygUUiKhbifIp5ogoP0iSEo1x1q0CBgbAx58\n0B8XJZ12RJDfrFhRWpiuW2QHep2gbLYYTztw0YEA7MYItgPSUhxuyRLgD38oLn4zZX+2e+9ykLpi\nGIiFY7jtudvwf+/+v5gxK2Qntfip5mB4CSgfTrh//82/O8NwiSBnnSB/fzDRUcz99mtjF2s6QYQQ\n0hAUQaQrMC2zNRFkK45h2PZE2azW74YBJQJnYmLW4qjxeP1rBeULed/icHEjXjuG1AKWpeau8+er\nZgYvfznw5z+3vl93HM5v9tij9Fh4dYcLXBwunUbGAO48+c6iwI6EIkUnqKU4nMYWQZO2CIoO2g0T\nbCdoa0ot/jSWqdCOW8fgPv1p4MILSx2MXE4dlGoiyIcW2UCZE2TXBPkdh7NNM3z848BvftMms4Yi\niBBCGoIiiHQFfjlBRcomAn7H4fRSJQAAKZHJqMn2u9+tNjUigkzL7Jk4nGmqNU/mzQOefFJt82NZ\nEnccrt0EvjFCoQDkcsgawOF7HF7cXOIE+fGDgHaC7K+tiNsH0HaCNGmzwgK+2gnac0/gXe8q/c4u\nWwZ84hPez3Mr1ibbwR+x5xHF68IlptxxuA/86gP49B8+3dT+ywmF1FCXLFFvbcMGX3ZbCuNwhBDS\nEBRBpCvIWbnWImHl2bM2i6Bp9zIrUiKdVnUs112nNjUSh/PbCWpEBG2e2oyHNz9c9+O1cBgddWI9\nrU7oTFP9qG/4owNrUl4TFCQnKG2msWVYOSxG2CiZ4EfD0eIk35dOiba9oeNwIbcIMhwRVPF81Afc\nMNSf+zu7YwfwyCPez3PXBDXpfrjdn0pO0JUPX4lL77+0of3Ww7x5wMRE7cc1DJ0gQghpCIog0hXo\nFtlNk8kgBVdf5bKJgN+LpZY7QeU1LQ05QYXOOUGfvv3TeNn3X1b3491OkBZBk5PVn1OLdkbhvChf\nJyhITtDW1FYssc/NcmHt/n75EoebPx+A4wSF4/b3r8wJqng+6oMeDqsDUe5gVOrD7las+peG8jxq\nDdzv3y2CJlPq3wjLjsOJBiJ3qVwKm6c213xcIz+QzOK664D99/e+jyKIEEIagiKIdAUtx+GyWYxh\nnnO7bEJVb03Qc88Bzz5b++W84nDuiXzDTpBPjRFi4cZaZE/npms/yIUWQQsWAI8+qra12iVuLqNw\ngCOCTDN4jRHc9Tfl55T7++VHHO6+6FY899I9iusRhRK2CLLXCdJUPB8TjnOESGT25L1cFGnx464J\n0qDUVDEAACAASURBVI9pUFW4nTC3CErNaCcoP+u+WvzXHf+FZRfXXhxM/9sgRBNR0vvvB/7xD+/7\n9EnMOBwhhNQFRRDpClpukZ3JYByjzu0m43AvexmwalXtl/OKwzXtBHWwJqiRX7oBRwTtthuwcSOw\n776ti6BOOUG5nCpr6Wgc7qmngBNO8G13O9M7i9fLz6kSEeRDHO7V178Je79jXbE2yEjaLdAMAwnD\n+TJUPB91y75QaHYcDlAHxn1+6sm9PlihkDqIQMPuh1sEuoVOzixtjBA36j8xX5h6oa7HuX8gWb++\n7t0D3/kOcNllle/XnwGdIEIIqQuKINIV+O4ENSiCPv1p4JJLlHCp50flEieoUPB0gjrWHc6q/1dx\nr1+6V12+Co9v9e7j6xZBgGr564cImksnSM+39XvpaBzulluAG27AeGa84a5+4+OqQ58bdzvq8nNq\nXkJ9P96+79t9icNpobNodBf1egl7MRzDwEh8pPi4iiJICxxdEFbLwdD3u2uC9LYG3Q+3CHQvlmpa\npXG4RkRQxfWQyqjLJb7qqtknpXutJC/K43Ba6RNCCPGEIoh0BX7UBJU4QWWTolrrBH3lK8AFF6hJ\ncT2kUioSBsDTCYrF1BDqmRf5WRMUDUcbmkx7iaDHtz2Ou9ff7fn4chH00pdWLt2ol3rjcPVOMmvh\nFkHaCeqYCLKV86KvLcKpvzq1oae+8Y3AXnuVbtPn+EWvmR2H23/h/njxEy9i5ehKX+JwwzHVEnu3\nhWoQkeSQusMwMBJTImggMoBMPoO142sxmS0rHnN/6K443B/X/FFtM031+Tz3HDA87CgHPbEXoqIT\ndOqpZT9UlGEWTISFyvG5vwOmPSYtgtyOVi0k6hdB+jtTft5t3w5ktk8Dp50GPPNM6Z217FJ7Z+t2\nrlFdAN//frVIFiGEEE8ogkhX0JIT9NRTdcXhakWAGkmGTU8DSxbaMxjLmuUECaHmdeW/+N5/v2qT\n68bPmqBGG0C4fwWvBy2CDjgAeNvbgMMOqz7ZrId64nBWwULoCyGsGWu9H3c0qt5HLqfeS0fjcLbq\nzhfyeGLbEw09df362S5cPpOGFRL41Ju8n7NkcAmi4agvTpAWQbvO3xMAkBy0nViXE7QwuRCZfAZ7\nXronTr7x5NIduD90rUzXrMG/fu+Nals2q06MlSvV/Vo5uFV3BSfo6quBtWsrj920zKLLUxRBUhS7\nw02a2wEAiUgDIqhOkR6NOs1Eyv99WLQIuOB9dlFi+cF1/0LjdcLa/+ad+7v/xPl3ng888ACweTOw\nbl3rdi0hhAQQiiDSFbTUIvuAA4Df/rblmqBGRFAqBSxfoGI+5lQal1wy282Ix2dPch54ANi6tXSb\nnzVBjS4KW+4E6UlgpQmdFkGDg8Cvfw0sXuyPCKrlBGkX4eEX62/nXcLWrcUDHIkoAdQVcTjXSedH\nJFKmppGJG4Co3PQiEo74UhOkhU42rM6VxQt2V3ckk0WBsWhgUTEOt3FyI+5ae5dzbr3hDcBNN6nr\noZCa2K9ciV/81H6B8XGnbigSAW67TV3XJ5y9HhIAzzqYaqUxOStXbN5Q/A4UDJhWHqIQwZOTDwBo\nLA4XDoXrelwsVlkEAcDYc3ZdV3nbRbcIKrdf16wpZiNDEhjPjDvn1ooVwHveU9fYCCGkn6AIIl1B\n006Qnuls3OjUBOmf+l3UI4ISCWfOVYtUCthlnprcpXZkMDMzeyLvVRekO/m6NYafNUGNrofkFkFX\nPnRlMYqUznu3HNbCQTMw0LoIymQAMbwZd629q+JjJrJqYRV34X9D6MWM8nlEIo4T1PHGCK4ToeZx\ne+ihEtHkVQYjJqeQSagDNJX1/vU/Eor4Eoebn1AtsqMJ1RBBzLO/f4Pq9pP/8ST+efk/F0XQjpkd\nWH3NaucYRiLA0UfbA3fe1y562OPjjkVoGMAHPqCuu7Nk+kNwKR79kVYrhzELZrGNd/E7YEVgFvIQ\nlvOPgLvVdy10vK4WtUTQqBgHAPzlD2UiyL2Q1oUXlt63ciVw7LEAlAgSQpT+qvP883WNjRBC+gmK\nINIVmFaTNUGuGfg2LFJXRkaaWicokai/S9n0NLB0XhYmDERswWDP/Yp4dYjTk55MRk0KxQXC15qg\nARM4+9Ufayr+8oGbP4AP/eZDANSim160QwSl08CTe30Iq69ZXfEx45nxksuG0efD5CSi0S5yglyk\nzBofZJmF6Flcn5pGNhFBLBwrLoxajl9xOKtg4bb33oaLjrpYbdBfnmEVk9t/4f5IGImiCNLHTgva\nSuiW2yUZU/dJ5+UEuRShPpbVGpOYlll0goodEmUYecuCKDjCp9Jn6IVfTtBIQX1Ol3+l7HNyfwZj\nY5iFvbOQBEIIlapkn+rpCCEkSFAEka6gaSfI1at6A+xq/YULvWuCavz6XY8IuvpqJwK2eCSLCTEK\nw6xfBGknaHwc2JHeAcDfmqDRcfsF16zB+on1+MTvPlH18VoY6suJjJp4ubuMudHNBDTJpD8iKBSu\nLlBbFkF6sjwxUXSCOt0YIZcDsva6NKKgFtusSplNqcf8uc8BxxyjroemU8gmolg8sLjibvyKw2Xy\nGVUzE7Yn/0KoybYtggAVJ9s8rRYQ1ZHGSufWSQt+ox4XA8aS9n9NbidIo5VDoeDpBNUlggomdksZ\niORL43D5glXiBDXiqvrlBMUtdR4Mo0IcbuFC9Y/Q9u2eOwgXbEHmtsJ8tDq3z2zHLc/c4tv+CCGk\nU1AEka6g2XWCnnvUEUGbsQtCKACjo3XH4aamgH/7N/sxhjPPrPTD6d13q+h9KgUsHs5gQo4gYmUA\nyFlxuERi9kL2emI2M+PUgKTzad+coCF7Uo3xcdyz4R5cfN/FVSdyup22dga0MKs0UdURMo12glr5\noTmTAYxw9QmknyJIO0GdboxwxhnAf31KnaeRQh1OkMae5WtdcNVVTmmNmE4hl4jiR8f+CPeedq/n\n0/2Kw2XymdKamfJfAaBE0CX3XaKGbbsqlVzGH+04Ch/d72SMZIFtcfuAeDlBNps2WPjTHys7QeXf\nPTemZeJ/P/ssrvhVqQiyCo4T9KaVb2qbCLo39nngrH08I41hqTaOoMwJCtnjHBhQJ++uuwInnjjr\n+SFpNzxpkwj60v9+CW+77m2+7Y8QQjoFRRDpCqq2yH7oIeDd7561+bnngBPeNg15yCEAgBeiKwEh\nII3Zq89XEkGPPw78z/+o67mcM1eo1PZZJ2emp4EFg1lMYRAFhBCBWfJjNVBdBKXTzq/MU9kp32qC\nkjP2rGpsrCgYqtXR6Hba5W21K9UE5XJANCKBb30LsCxEo6XLtTRDOu3M7yoxnhlHWITrE0GFAnD4\n4aUWlR5gmRPUyTjc3/8OmBl1DhiFysKziDtLCUcEuUs/QqkZ5JIxvH7F6/GqXV/luRu/4nDpfNoR\nQdddB+yzz6zHPLn9yVnbqi3mu/PAa7BgBhgfUIKiEPNwgmzGdhTw3D8qO0EXXVR57FoErhgvrQnK\nF/KA7QQNRAYaE0ENxOE2JX8LLHjW87wz7LHNcoL0e9SdPbJZ1RmzjJC03xPjcIQQUhWKINIVVIzD\n/f3vwA9+AFx/vbPt1luBa6/F1q3AAFIoDAxjalJiPLJItaUuGHjfu/Ml/+9XigBt3OgaQ86ZN3iV\n1MzMOPPQ6Wlg0MjADMWQDSXwvn9N4zWvKX18LSdIT8SmclP+1QRpETQ+ju0zqs2vvgSgCqRdXafK\nnSBNNSdoKDwDnHVWcbn7VuuC0mkgHK7emm88M44VoyvqE0FbtyrLbt260oEDwNlnF50g3ZWu7XG4\nn/4UOOKIWZvDYSBir0cTlaK2MNEnn63QtXlWdCA3bUJ4ahr5RPVifj/jcEUR9O53eyrZr7/561i1\neNWs5wFKq/7mN6WPTxvAgjSwPa4OyO/viuJvf4OnCBIoIIrZ3eH0sSxfQ0kjpSx+1sPJUadNvB2H\ng6X+HRqINiaC6m03H40CpsyUjNWNUchhp7FothOk36NhOOezx2cekkBBFkqFT8c6fxBCSPdCEUS6\ngootsl/yEuC73y3dduqpwHvfi5mH/4HX4y5Y8QHk8+oH0kgEmJoxsG2ziQnXHKKSEzTumlNns0oE\nhcPeImhgwNFimzYByXAW+XAcGcRx+vsyGBgofbyXCNK3Z2acVeunc9PVa4IasFkGUo4I2jGjom3b\nZ7Yr9ZXPA//0T8AppzjvWTtBluMECYiqImgglC55M62KoEwGCNfhBNUtgrTIcx9EPWl85JHiD+la\nBOnuzG3je98D7rhj1mbDAIz9bwAARKVSNFc9fBWe3fms937KRFCorGwGy5fjNVf9AWayugiKhqMt\nx+Hu2XAPnh97vuZioksHl+LQpYeWbNMi6LnngLe/vbR2J2MAMQtIxZSgkBCq87NHHC4kraKIhGkq\n4ZvJFIVFpd4glrSK7s+hSw+dHYdr0gkSdfbYj8WAPCqLoLA0MR5eWNkJikadc8FDBIWl/X1ukwhq\ndG0xQgjpViiCSFdQV2OETAa4915otfHqzx2BL+I8mPFB5PP2pNIAsoUIDOTx4ovOUyuJIPdSHFoE\nDQ8Xl9wooucQetKyfj2QDGVQiMQwbSUwGpsdH6vlBLnjcBWdoGefLS3CqUFixp7sj41he1o5QDvT\nO4H991fiZ3xcrSmi37OHE7Rq8aqKrkSJCLLfzFw6QWMZj65Y5egso3sW7BKSuoO6pxP09NPOejR+\n4Wregd//Hjse3Yi1a23RPvIcAECYeSxMLsRpvzoNl953qfd+9MS37KRKJADDFgPDWyeQT1bv7hEJ\nRVqOw33j3m8AqG8dnfI1p/R5r8+Z8XHgnHPs+5AEAGRjSvQISDX3107Q008X9xMqd4IOPxy4+uri\nsRyfzuDYnx47azymZTrx01hslghCvjkRpCnI6oIjFgMKlhK94+bWWfcbhRzGjYUYRZngL4/DARWd\noK+d8TNgpysG66MIqjf2Rwgh3Q5FEOkKSiYmAPDII8C555Y8ZtvnLgUOO8z5Vdj+j92MOSIoEgGy\nlgEDeezY4Ty3lggKI48vTHwUBdPC2BhmRdvcjtFuu6nGTMlwFoVYHGkkMByZLYKWy43Y59rzS36Q\nzWTUJMgdh5vOTVeuCdJKrk43KJnKIZ2MFp2g4diw6jq2bh3wzDOzHq+dIHdnskOWHlKfCGrGCXrb\n25SQdaFEUJXnSImhJ5/HcXduxcJ125A569+x4r9XVH68lwjK5YDXvQ7YY48SJ2iPqwWezPzRmSOe\ndRbwlrfU+WZq8OijwFe/Wvpz/5vfjPtf/h848khbtJtK4MZkqLhQ7bKhZd77K3OCtPFgGMBCKMEb\ntgq1RVC49cYI2s2pRwS5XUbAEUFay61ZA3z96wAgkbJ/TMjHne/DzAyc77xeiwhKBEVgqi+U/n5Y\nFqypGQgUMJ7diRufunFWIwazYDrOayLhEkGqJkhqEdRgHE6Ln7H0GJ7ZMfu7ponFgIKpXv9L2SV4\nesfTJfcbBRPbosvUMb3/fmctpQbicIu2lX0hfawJqrcBBCGEdDsUQaQryFrZ4rodAICf/AT42tdK\nHvP4N25VV+xfhXMR5QjloqUiKGMZiMBEOg389a9qslipRfbUFPDhDwP33vACPpi9DAtzm/Dd785O\n37h/zNf134lQFojGkEEcSz5yAvCVr5Q857DNP8MhN34B++7rbEungfnzyxojVKsJ0i/sHkAV4tMZ\n7Fg8CIyPY8UTm7AytAC5cVsN7ma3EHdNiPQE9VVXOkX0h+16WFURlGxFBN1yC/DrX5dsymQ85nJS\nqhf78peBUAj/etV9OOqSm/Gav40j/q3vYt3EumI77yK33gpceqkzGPdnZprFrlpuJwgA1uUecnRK\nKx0eyrn8cuCTn3Qmr/bnvjD6GPZf8p/qfDXVcY9Jo9hCulJTinInSIugcBhYjK3qxAIgwtXry6Lh\naMs1QdM59dnWI4LKGyHo76H+/B9/3L4jkkbOdoPNhLrMIqYOp3aCXD3sw7CUE5RMOp+xEFi6/wi+\nhnOQmlGiZP3E+tLXd//gkkyWOkHSKmmMoIVpPejHXnj3hdj3W/tWfJwSQY67Wy7SDJnD1uiuWIIt\nwI03AjffbA/cPmaHHFJVBIW9TB86QYT4xmk3nYZ/bP9Hp4dBfIAiiHQFOg532WXqB3StQnLxIeCK\nKyCHhrALNtsPVhOAnGFHZ4yBMhGk4nAzMypNBjiLpZbPBSYngYMPBlYtVzGrhDmJt7999npB7rqF\nJUvUZRwZSNsJCj/xd+CKK0qflFDje/ZZR3dkMmquWndNUDURlEqpnblETWI6g22LB4GxMVx+4aM4\n8x4TA0/Yv0prh8RVu5DNZ3H0fkdj95HdkYwkkf5sGi9Z8pKKIsg0gQHhxOH2/ea+2LrvRY3F4cps\nH7VOkDowxUnnZZep2eJnPgMAWL7RFjz2ZDdsAS9MvVC634suAs4+u7ITNDgI5HJFJ2gmpw5qqrDD\nEUGx6vU0DaGPiy5Os8fzypk1uPF/v6EaIxTUY+IyUvwRoFIL6XInaFlhI16H/3VE0KGq9mZwskpv\naLQeh3tmxzN4bMtjAOqbEK9aVNoYodwJKvaviE4hL9R3xkqoL6CEqCiCQijAQF7lAV3iVeTzOBOX\nYyartpW3HjcLJqLC3l8s5tTyFMJ2HE4JlGQk2dBiqfqxz48/X/VxsRiKkTvA1Z3OxiiY2BZZro6p\nW5SnUupHhKOOAh58UG0Lh/Hrp0t/VAh5mT7uf/jq/EFFIy4QuGvtXcXbdIJIv3PVI1fh50/+vNPD\nID5AEUS6gmw+i1g4ho9+VP2YrzGyKRgfOBmFgSHshg1qo/2feC6sRVBpTVDGNIoiSM+Dc1kDU9P5\nWbGrsTG1rJAxpUSQYaYxOjq7RXY2C6xapQSN/YM7EqEs8kYMadjF4clkyXOihjPx0PF8LYJSKecX\n8YIsVHaC9BvwqvLesEG9Adfq8cmdU9i0fLgYoxtGDCNPrFGD15k+l82Vs3I4et+jkTASSEaSiBvx\nqi2UczkgIZw+38/sfAYT8+5oTASVdfpKp4FCqKxBw5Yt6vKUUyDfeiQS/5+98w6zqyzX/m/13ff0\nyWSSkEYJhBYgCiIExQOiiAh4PApHFAQ8iIjdT+xiORYsHD3AEUUUEI6I2EBAglTpLYGQQHqZPruv\nvr4/3rX22ntmkkwETxT3fV25Mrut/a53lf3c7/089xNaSc+yRPDYZsJ+P9iPZwafiTcUOVNsjwQ1\nKEHlMqg5kUI25K6LY8RoG2NjsHUrfPGLu7BjiNyuJ54Qf0cB7MiIKDQbb67xcBxhjQ2geyqPvO8R\nzllyDt984Jt8/d4p/J0nkKCvVD7InzkaRYFuhqC7m+s+sIxnTlu2wyG+1HS4d930LsbMMR46+yFA\nONjvKNvqs0d/ltUXxOlhEfmPSNCWLeELehkLMf8RCWpnTOxuY+5fCJXQGCGZjJWg8AJPYlILSdBE\nUml7NinCayAIGiyyddzAJXDFd6e01C4pQVE63M4+YxjU1aZoPI1QA5uqmsPCEOdghGIRslkxB6Ez\nI7kcJ153YtPnpyRBdaLni21s3dpcM7QTPDXwVDy+Ke5VD256cNrbaqGFVwL+mnrBFv7+0CJBLex2\neL7XRATy+fg1R0ngoeJoaVLUqCY76kqQGZKgmtKsBNUckQ5XrTbEw+MqthfftIJANEl98kmYOROU\nkghQVc+sWw43LsKapoi1FiyI4wndN+vucAATu6UmVPF9Ej4vvBBvJ58Xu+D6Lh1VOOF5tl8TFAXy\nU63eRs+VSiJAdl2SoyU2zUzXC8h7KxLJgWGhEkRFUg1M0PIsZmRmsLm0ue70tVMSRBhUhkG5Juvb\n7as0JSbMk2mCh9hWPXVqbAw++EG44goeczaSMUWAud+wmPy28G13rW1wXYvknGgwE/sEZTLgOGia\niCeNdkGCBu21sRIUBdOHHSZOjM99LiYf08HZZ8PBB4u/G1W8/v6Y2IWwLNEkFcAINBZ1L+Kw/sMA\nuPzRy8VJ+vDDzR+AOnuQw6BbUWAG26C3l7uP25vK/Fk7HOJLTYfbr2c/3rH4HRw681BAGA7ee+/2\n35/UkvRn+8WYJXmSErR1q9jGO95dwgmyAPjJJJ/oPJOv8wlxubuTA466EpRINJsGhIhI0MR0PNuz\nyUghCfG8ppogL3AJHKM+7p2ZHDQiUoJ2FhwJEhSnw00cn+I7uLLGAL2wbl38wuioWEFR1VgRa7xZ\nhpiSBEWIiiDXroXOzl07t6PxTVD/ak6Nw390+CQDjBZaeCXj5Wgz0MLuR4sEtbDbEaXCRWkptRp1\nBmLL4sfeVkTgXMjMqqcXaaYgCK7pNZGgqqOhSy6VSpw6X6uq+MQ3rZER0SR1zRoRn8qFMB2OGrI8\n2dnNNOO4o74YbVlomQYlaEJwH5GFBf1WPZap1YQoYNviJvqBh+B31069ugo0E53tvbZihRjc6aeT\nHC6wcWamrjp0lX3UwSLstVfcFKkht89yLXozvQxXh0lpglTuKgk6Yssw9nBxyvc3IZJbJqScWRZ4\nUkPT1scfFyvdr30tqCoDRhxULtoq/r5gv/dw0asvah7nxPSzcH5WDq0ksKx6Opyui1hQz40zv30+\nw85GfB/uvBOqo+HcRKwVdmnFvMl8otFiMJdrkDzi/VbDMWueuBVHRHTt+FpKa1fB0qUxqZugBCWD\nuF/QAl6ABQtwPGenPadeajpc1aly0t4nIUlSfcp3RoKj2qH2RPukmqCtW+HII+G4E0vYQQYAx0jx\nn70n8HveJK7hKbykZakhHS660BuUopotzpWJJCN4+mn2HIuIj9/ULNUPPAIvrNNSjF1Lh/OnR4IS\nCSCIU1Injk/zbVxJZ5y2+Jr1POHG0t0t9jGc8MHCViYiOdWCiiTBZz8riD1QWxUWYk0g5hMRrFjB\n7HGa0nUnpsNF6u2uzFULLfyjo3W+vzLQIkEt7HbYnt1kilCrgV8UAawfBguuLW44FSVXJ0iZirCX\nraj5ZhJkq7RlRTpcFBu5loZPHJxs3Bh/f18fddKQCgP8HZGgT39aBMyYJoe/LsGRb9gxCXrt0pgE\nmaaIhx0ndKkK76PbrQmaqAQFQRy4NJIggF/8guRIgQ09Yi4LCYn2os34yhLrjb1iZaRhx5a8WGP+\nVTcDwg0Ldk6CEkEzCbrh2gdY9IdvTz3+RkTjnbCqb1nghs0jTdeEJUtE7UNYfCV394g39vTQMy6O\nfaefoCvVxUitwQIwInebNwsXsXIZ0zXZ7wf7MVrYBokEAfCVhy4UKkymyOzcbGpeEc+DY4+F1U+b\n8L73wSWXxNvdFZmrQYlwBxs82nM52LoVOxu7m1kWaIGYCzlUKZNafA598/YviD8iBa9RCfrVr1jm\n3A4IEjSbjTB7Nra/c6v5l5oOV7bLpENTkoib7MxPIlrg6M30TqkEtbWBLZWxvBwAtpGhZ1aZz3+e\nqUlQIoHSmA4XndsNtS9KWLtWdUwhqK1aBaOj7LnsbXzvivAG4HlNzVK9wCPwxc+irui7ZowwTSUo\nkQDk+D0TSZCKgydrlMjGaW+FgvgXKUHRZ2uTFx/STFHXJkmij1I46Rdff454fmd5rAccwB0/bU7x\nm1jDFI3/pdqut9DCPxJ2RSVu4e8XLRLUwm6H5VlNgdvKlVDYJIL/iAQFlviBrUpxR9KMOcR7U9fz\nzKFnivqKsCaoYqm0p0U6XBQ32qZaJ0G+D5s2+JyKaFRpGMSr69MgQV1nncTrNl4NlQqJ9hS9M8LL\naEKtS14XG3jVgeYkEhSlw1XDmFn1AvjlL4WjWCMmkqBbb4UZM5qfGx4WXSfnzAGgkBTjWdErkR2r\n0WNX2ZqYF48x3NcgCPjo3S4dnxEBfxTY7ogE7fPM/3LSjaeLz2/ZwswwBrOdaTRQjFJxJkTMlgV2\nSKyaAsKQBI2lw/ndZx8ANrYr5ByZzmSnaAQbITpgAwPQ0wPlcr3xqGWWqUouga5xzVPfA6OImi7S\nl+3D9Cu4nvhB0/0anHUWwaf+X7xdszlInQq+P2G3bBt//ToAAkWpK0HlfDf3zImnQyUiQSLIbGw+\n+uvHw868jSQokRDHryFNql4T1Ntbr63bEXZ0fKeDil2pE+ZokWE6WVXrP7SeNy5846SaoIGBkARR\nwgxJkJvMoqYqJBJi22Z5ArFIp+vpcEEiyej68DpxXXxVXFRpSTz33Joar1rqi/PnIx8R350Mr9Um\nJUgXSlBIgnbZGCEkCjsjmDslQYGDK+uCBEV47jmxWqMo8X1GltH8ydddlu0sqDQYovRFwvJOTBIk\n36ej1kxwovmKgsCo5qqVHtTCPxNa6Z+vDLRIUAu7HbZnYyhGXSB45BG467fix9mLfuTDaKschCQo\nncbwaqzvOJiKrU1Kh8unm5Ugx1JFytVxH6Zchm33v8iNvJ1f/W8Y5IQRWUraPgmqZ3HdcguceaZw\ncGhri99oNweWXWnx/MLZVr0/qWmKumTHCa16w8WkTMGE978fzj+/eXJKJfHFERlqLJRuJEHpNHz/\n+2x7w+E4iH1an/NJjZbotapsC0JLu4Ydsz0bJVwFnzcK8nqZDRt2HCQf9uSV9b+lSy7hxdDEwrGn\n8YMQkaAJ82RZ4AQmeSOPU2xohhqSoOGI9y5aBMCLOY+sK9OR7ODKx67kyKuOFK9Hx2FIEALK5Xq/\nFqdW4aY1v6EUWBgukBxFSRVpT7RjyEkcBDE0fJM1mxLCefj005u3uwP8x4H3IRl6fEyefJIgsi/W\ndYJsjtLzW6nqBv9yRg+eBMUxDy0iQWEA3Wg53RWlWUbpeJYFbW3c9OjPKDfYaCuSL5zEenomqapT\nQZO1lxSwVpwKGV2kre0KCZqTn1N3aYTmac3nwQxKWK6ocfGMLJJRQddh+XJ46rEJ402nkQLRJ2hb\nIclPLotJkNvVB0BWEmmRxYoVO0s++ijFxXvVa8wm1gS5vguBeNyf69+l1d7ovVHvre1hIgmaG2nB\nLAAAIABJREFUqBxpgY0raTEJ6uyEp5+GeQ0LGdBsCNGATDAFCZpgpd0TCUC33gr33Sf+vvFGGB6m\nYlea9jvtNJOgAHGtj9bEedlSglpooYV/VLRIUAu7HZYrlKDGQCqLCGq8MCCRHPEDW/JFRFxOdgGQ\n7EhimiIW0LSIBKlkEs0kyKqFeeyHX0qx5PPU/SJYfeuy0LErVEeMsEA/kdi+EiTy58LPNFrJTVAM\nujNiA7O6LTZsEJlsltVAgnyHqNwlPVaeuu5neBj22CMOrhvraaLnRkaEM91b3sJTP/w8ju/gnXcu\n/32YTIDE7JrJRrOb+o6F47U8Cz2c3xe/B1/7ryf42td2TIKi4xDBCDmka08jWNyBEmT5NTq1PMoT\nsQsVOaEKDCdCgrVwIQCbcpC2A46ZdwwA9228T4w3asI0OFhXgqIAzbGqlAMLRw4d2YwicrJIzsiR\nVLLYoWqgByYVLzzQ11wjmvOaJk8+Cc8+u/1d859ZgRo44pj09sI3vsFTxwnLakdXeHSTz59/sYVx\nJaA92JuqBtZbDiOli/NNCZWoxnS4LkSNljM+ym1rbiMIrQWf3/QUWwZW8/30J6mQIkWVHgYJunsm\nqapT4aWmw1XsSl01jK7Z6dbXN/brqtXEtQDiMrL8Mr4pjnmgZpCMCoYhMsLUhlRWurrgrW9FwUPF\npSYl6/cLPA9ch4qc4e0niOeGxy06CdW0p59msLePtmJ4Hk+oCfICDwmZoY8NsaB9wV+VDjexOexE\nTCRBE4+FGjhYNBzDWbPgmWdg/nzxODI2SSbB81jQNr/p8xlvck2YL4FHvFDRHWV4fvazoiAL4O1v\nhx//mGVXL+O1P34tlmsRSBJJt3mfIoLU/Y1unh54ukWCWvinhCRNI/uhhb97tEhQC7sd0er1VCSo\nFoiAtBb2Dyl6Ivh6dlgE9amORJ0ERUqQi8oMttG56ck6CTLN+Ia1YaDEc4+EBCIKzKtVLHQSiB/0\nZLKZ0zSRoFwubviZz8cvTIwEQxaVT1iMj4c1IJrgMVE6XCKMhRKjxam7hm7eLNJ4IoIkxwXdTUpQ\naM8drbQXv/1Vntwzi6uLsY2aoX13xO6CQJDPhgLtLsvGdXdMgsxAkDBPbv4BkGrTqJvZgRJk+yZn\nPuaz36nvF0Rm//3r6TuF0DQhIkUlHdJWQFeqi6X9SwHYUtoi9qura7skSE9mcOXQkc0ogCFIUErN\n4CDmUvdN/HDOgoC6cnbkkcJlfHvI6vUTTZDkBx7g+QNm8uF/gdPfUGa582tmsoUhpch+8ilUNEh3\nPU7gis8pE5SgtReupT2c60dX3cXxPz+eLYNrCDo6SDkgV6oUcyOU0lUc7idFle+v+Ckj1ZFppcOt\nGV3DF+/eRfvvEBVncjqcPc34V1OalaDOTvF8WxvU/BK+mYFbbmHb7IVIulCCBgYmkKDBQfjSl5AR\nSpCrNpAg10VyHUpqO+2SON9WvWCRJq59uXukh4Q9tRLkB+JxV6oLRVb+qnS4l0MJsjyNDkIFMJNp\nUoL+9OdmJSinpps+nwom9/HZWtrCk5sfrT/umVgKFF2bW7fywugL3L/xft77qzPxQ+LkWvGKUKNK\ntLm0uUWCWvinwmGH7e4RtPByokWCWtjtiFavLStutZND/ChbYZHvB2f9ig8tvZ+CK37whxAkKN2Z\noFajqU+Qg8axz3yHL95yUOwO16Dq3Hb3GItmhUFTpOJUq4zSgREG3I3pcLNnwy9+0UCCajXYbz/x\n99y5YjX129/eLgnKaBbFYmyzretxOlykpBgjoSKVzTZvY9MmQYIiwhOpKKY5iQQFATz8kEq56vCm\nUwrk9DyE8UoU45DJiJVk28byLLQgvgWUNIUg2DEJcjwRYFUTzYGWWivh+i73b7xfPPHb3042FAgH\nsfyOKZQgr0Y2dALkVa+Cp2JF6LE5Gg/f9mM45BDGe3KUdUiGQew1J18DiNQcr1oh6OoS6XAhCaqF\naWO+ZWHJPo6CMKN471FsnnEFOSOHISdxwzRIzTNjR0IbcdBNE9NkUqPdRmTV8GTRdRHRb9rEcEbh\n0iPgxsUwqlvMZAvjikt/Yk8qOmRs6sYYUU1QeVwoQT3pHtp8oQaYo8IApFYax+9oI+0A5TJDi66n\nrAPSHVRJceHtF/DwlofRFZ0ggIcemnqskR3755Z/bvs7tAOU7fJflQ4XfbfluBSLsXAHYspK7hhe\ntQ1OPBGFLGhl9FAQUWggI5IEioIUiJogR5tMgp5LH8Ls9cIwZMuARYr4XNza0xVvy/fjFV1PWGRL\n4c+iIin4gT/t3P+IMO2MDOyMBKmBg+VrbGAOft9Mcc0++ijsuScAV1zVQII8j7wUq4eeKpPyJpMg\n23eRzfggzTSbU+aCwcFwA17dpOXxVcsp61AwICiX4ZvfBN9vIkED5QGKVnFa+91CC68EPDLzrN09\nhBZeRrRIUAu7HfLTKzjzT2OYpnCAXfm0R5YSv+VNfJVPAXB/aX8K+x7OmC1I0DAikMl0CSUoMkaI\nlKAIti1ihcZ4/K77CyzZKyQQTz8NN99cJ0HJBiUoIkGbNok+KE0kKJkUUsHixXDggXDccdslQSnF\noloVRkyJhBhjoxJUMEAdDld9G0lQrSYUoLlzY8LT6BA2Pi4CwuFhfnZTitNPh098VGP1Cy4PPFZA\nD3J4ngjwikVEk6OlS+s7Z7kWaoMSVNJFoK/JIl1qquBPtad2k5KtKvesv4fXXPUa8cSJJ8If/1h/\nPQggGBc1Gk892kyCRsddvMAjE6UATfjeiltFWrwYDjmEK2+6mLIO3Xc/DPfcw16de3HNX/pp/+4V\nWOUCo2lZnAxhTVC0Sh3YFlXcOB0OcPUR8kYeQ0niSOIE0X2zrj5aFnXlbGKT3YnolMTxCySprlgN\npoGyqGsqGRK9DDKu+LSnM0IJssVYqiqoIcN6z2ni/Uk1SVvYS8YaHRbpZ7Ua1tw5zCmAXypSUXVK\nBqTtVVQabJEN1WDdOsElp8LO0uV2hrJdJquL83RXSZAqq/zu9hL5GaNNSlA+D0PVbXiFGQQBKH6a\nQKvUsz8br2kAZLnuDucoSTLEzoOSY/OX9jdy6MjTAAyMNJOgFeneeDtN7nAiHS5ShiRJQkKq18Ds\nDHUlaFrpcB6vW/Mwe5XeN6k+Swtsap7O+/khow+9IOr9yuV6TZyeikmQ5Hq0yXGTZldVSPqTf9YD\nINXwNV2lmFQWdVj3eNhvq8EtLlNxGE1CRYO2jUPwsY/B2rVN94WBygDrxtcBOzeEaKGFVwTm3r27\nR9DCy4gWCWphtyN7x5+56MaNWCWbRAIW7a8ym02cwTVczZmAWNzv64OKLQIAPyHIUEevhmmKIMww\npiZB+XyzErTqBYvZHeGP/QUXwMknQ7XKGO1N6XCNn7HtKUhQIwxjsotY+Fi2TdJpIdgkErES5AUe\nCRc25IE//EF8Rm8IULdsEU2Mcrk4Ha6xV8z69UIlGhnhqRdSIkPPV7FcB4wipeE8/85/8tFjsoIE\nPfooXH65kNuqVSyvmQQV7T58XwR/ERGaCM0SwabsNweGqlWtEw7LCle2x8bYUNhAbfWzvPH4gOt/\nOEZNTqETrxhXKuDpo7Qn2snbIWEbb+5dUrEr9R5GGT1DRYfsfY/AUUcBcPofNjPnuz8RhDIdspUJ\n6XCBbVOTPHrb+jm4U6h4N10P3SWfpJrCa1CCLCkRHz7DAMfZPgl6/HHwfS6ofE08DoJ6A8tNegB3\nfYFL52xgXBdB57ji05nNUNZFwbnmQ00DOSRBgxva4Ms1JEki54vz+NHnl7N3195IlkVl0QL2HgbK\nZcqaTEkHSbuFSj42lGisr5tKxNiuHfs0cNOzN9X7esFfoQQpGisyl8EnOqnVxKIHiP9LThHZzuG6\noHiCBEWXw42cxvjBx8QbkuW6O5ytNtcESZ7LmtwSZhU2A2A6Fnv3Vygh1KuVUibeTqO8F0j1dLj6\n10jytOuCIoVkZ4qIpgGySyaRQPKN7SpBIAlVMrrX7LWX2EWpWQnKKfG9yFVlEu7kWgUJMJz4ZNDc\neL+f7YaRZ0LZsFRCQmKvYVg0KgsSpEN6IFykKRSalKA/vvBHrnzsymntdwst/KPDcYDwvtyyyH5l\nYLeSIEmSjpck6TlJklZLkvSJ3TmWFv7v8fvVv+fap6/FiX48n3uOnBYzD71DrDa3t4t6585O0IKw\nT0yviEp7ewUnaSRBToNFrGVNJkGDIxbd6XBlOIpuKxVG6ZhEgiJeEwQwe/xpEfVNRYJ0fXJhRFT5\nbVnkcqKUIZEATQ3oGF2D53tkA40/zSNsPEQzkdq8WTQ3zGZjJagxv2/t2npaXpWUiOd8FddzIVGg\nMprnV5zGd46QBQnK58UkJRLw4IPo99zPQevi7yuMHlaPCSemxAUPP0z/1+ag2SPctgBuf3V3066q\nTpVtYcPZhx8Oi9BfeIHinnuQ3Gtfkn+8mXWPjTCqz0DT4oB9yxbonD1KZ6qTVE0Eg+v27W/adtWp\n1gvxM7ogEOJBHMwqpoWjQEEPA70GEpTW0iEJcpE0jUJlBN2Fk5+DGWuHMJQkLjVkPNTAoRYqMKYZ\nH9fGUq1Nm+CEExBEdMkSvvX54+IXg6DeK2irb0KlBwqzcVRha17UXLpyGRTzVaR/+00W5uZSU2N1\nyvcBV5CwnKdS1qCjBrNzs1Etm9LsXnorQKVCVYOyDr0VsVofBe9JNbnD/j3aVM00p4lTbjgFiIuC\n6+6L0xQBGhu51mr13p1kMlCySqh+FtsGxcvgKzEJuoSLeehrf4o31JAOZysT0uF8D0vPotRCZqZY\ntM16mAd4FbUDX82mxsvU8+JgJpAnkaBdqQuqGyPspCZIkgDZRVdVcb1OURMUnYNOmPoI1HOFfblB\nCfI8csSOgqXAIjHFcKUADKc5aPPa2wBY0yURRE1+w5TVVZfBV24cq5Og3GCh/no0X2cccAZ3rr2T\nR7c+yqEzD22RoBZe8RBrkeI3pmUJ/8rAbiNBkiQpwGXA8cC+wL9JkrRod42nhb89tm2Dj340fnza\njafxrpvehTcqer3s868H8smBi+qv5zvFj32UMpNOQ1oXN56ukAR1d9OkBKnqZCUocrE++p4axubX\ng2rSmQiVoChPbu1aNjK77g6XTMKaNfCNb8TjPeeyA+DSS8UDbUIgqWmTI8FaLbS9aiZBPese4od3\n7Mn8u59ifrKf17z3c8IC67/+q5mtDQyInkCZzOR0uHJZ9IrZd1+xG6TES15YeJ4Ypzqa552npUCv\n1F2WAfG5U05h4Snvaxqujj2JBNWcGqsGViItXcqsFzbSkRznvSfBEwszzZ91KqzaKMjP+Dah5Pz2\nhktYPCReP9x4nE5GGEwZ6Itu4Kc/Fc+vXAmz9xmgO9UNxRLnnwB/Ovt1TduuOM1KkBPdtcK0s/p0\nqzCuhgFlWxsEAU6tQkeyAxybKg5oGkfMOIy9x8X5k/FkEoqoCTKwcGQDK1SkLIs6CWpUgh58UAh3\nwRZhu1xbfgers2FKku/jVcSxKlpVcNIMD4Mli2i/lHDobc/gSjNID85ndrKXmjaBBEW756o83wmz\ninBwIcUea8co5gwUH2pDW6lZCxgsHcieIyJQfcee4njOys3aIQlqTIdbMbhi8ht2gImNMqPTcbok\nqJGAVatwkDDQQ5KgZJfQESRI9tJ4SpwONzGltTEdzpYnkiAfS8ugmGFQrloMdHwb5QgF794HKMov\nxttpqHGRZQkft5kEScq0lSDPFwRqOmSgt89lyUGCBEWKa6TaqYGD6WnxusrHPw6f/3z8PZESlEiI\ndLggNsKw1NixsRFKENfR1Z/TxefmLTqC7ItCNQtKpXr6X/+Yy1gCbF0hNxzOb4MS1G8fw/+c+D/c\n9e67eGTLIxz+o8N3ut8ttPCPjFIJsaIA/PiJH+/ewbTwsmB3KkFLgTVBEKwLgsABrgdO2o3jaeFv\ngJIV2z7fcAN861tw3nnw7Iah+krK4Kbn6+85fvTn9b+j9LMoZSaTgc1pURycbxOnbjYrbkzTSYfz\nrAS6YoBq0aaHEVWUZrZpExuZTUKKlaAvfUl4HjRh27bJKhBsXwkKSdAB8jPIjzxEMgnZkXUAHPmj\n2zE8OHT+kcJ94d3vblaCoqaf2exkZ7UXXxTb7hK1UVVSsVSvOLDn7wlG5/H6ZToSsHlbw9hOPVUM\nb87MpuEaWPXNRyToq/d+lRO+ItSm/iIk3SplnXqT1/ruu1X851fTVoNiWGQ9fwxunw+XnjqL/dVn\nOYcr2ZZuR/Pgy1+vcc2T1/CXZzcz2LuMU56VkEolRpMwZo43bbvqVOtuZCktxQsdEMydC4VCU75X\nTYOSGkaA6TRkMgTlEh3JDiTHoSI5SJrOF4/8DL86+OsAZGqeUE6kGgmEKUI0B+WqyyZzsFkJevhh\nKkXxHTffeTUABw7AQFYEhr7r8OsnbxCftypgpykUoCKJFLly0mZGRwZLSQvHMsehpoq0uP/5n5gE\nXXstjK4PeL4TZhdhj9AQZKQvT1mHzGiZctLiOecQDtkqlKBT553DOxa/g7SerpOgqVzbGtWYxT/c\ngeXdFDhxrxM5ae/4Nv1SlKBqVWR4RYewZJXQg0gJSuPJ5TrP7e+fTIJkAjRcHCURkyDbJpAkHD2N\nYsZKUMqBmXvpZDIQ5DbF22lQggQJemlKkK7oO60JAkikXLJpFXyNUsUlCKgfM9UXamQqFc7rEUfA\n52ITC18SjHyjO0LP+iG+dO719evRVkB3J+dAKn6YDvelL/HMMaGpS3hSOz1ddK0fxJs9i6dX38dI\ndaT+udGkWFzIjYaLRoWCIEnrj2T1Te+ic8NZLJu7jIwFRmthvIVXOAQJEveLPdr22L2DaeFlweSG\nAv936Ac2NjzeBGynlHdq/PykE+h/ZiWKDyo+ShCg+D4uEkgOvmxgaxKK76N5Hrpj4qgGPgEpFywF\nHElBA+RAIvA8ZN8hbZsMtLWh+i66p6D5Yrt+4NBVthjIZ6jqGm0VE1vRkDyL8VQq/FHxSTsurqLi\nBzJdlQrlhIqvQG+xypieoJhM4MgSWhDgSAFZ1yHpBniKDLKC47mosoosSQSBiYeMKxl4coDquiiB\njBT4VNWARCCjBi41XQEPXFkjE/hUfJmOSpGalsLwfSxdRZE9XFUjaTtUdQVPVbAlA6wqGdtmNGWg\nuBKzCmWGMxaKnEUyDHw7QLdtTF0ma1rUFAlPBkk2QNYwFQfPBzmQyTouFVXCcEH2SqhumRmlJL7s\nMid5KB865OusvkHhzOxdvP3wt/Pzp3/O4ObnKbSnyI9VSXllmDGD87ddXOcaUcpMOg3XJ97Df3Ma\nqzo+DwiV6Pbb4Y474j6jjelwnuXS2atSq4mATQkMERQx2dJ5CzM5KBDF1MlkqCpN7EVYLk9Ngran\nBPX0gGXxvTVvpGfFJq5YFpAsDXJL37mcsPFHOFo3TcvdpimiQkkSJKi3V2xjIKyTiZbeV6wQfUPC\nFJkqkRKhgezA/tfBT/5EPg+pwRQDo1U8TxeKxo03QlsbxtZB3vnt13Dth+8jyGTQy3YTCbJci6JV\nZI+Qk8wbk0jaNhUNxlJx3YEnQcIr85+f/D7Hz4UX3itI0LxxeKwP1vQn+WDlJgDWtM3lTRvv5zPa\nkSx882P85tXwmTXwnifu5cklMykaJUp2icseuoy719/N9adcj+VaJFUx552pTpbPA+knawU5jFyt\nEMFaKUqHi0hQqRQqQduoBAGSqoHr0r5RSFSpqkMilcSTBQmy5GR9iu/Y+Gvk1TfzkQNEH5UuhmDp\nUp49430w4/389A/f42Tg4K3wUL8JW8CR4QvL4NUXfZPy2NXgCBJUDEQ0X05Z9HWmWamk+QxfglKA\npUqofsD7GoS5n/8c3jhYYksfHL0e5smdPLx/J2W3ipdKMHfcZLBjgDXyXA4cgF9nlrJXdgnXnXId\nEJ+3U5GTl9LfIqEmXhIJavzuStUnmWxwJ7RLGGSxLJDdDI5cri+AzJo12WwwgiPppKPr2bYJZAVX\nT6GaNkk1Sf8+Fum/QFH1uOLRK0jly/GHG5QgRZbwcJHl5pqg6eb++4GPoRj1OrQdwfXDdDhP5ctf\ncVg8Bm99q3hNDWxqrkYqNTWJjdLhlg88xBnhc2VdGB84MmjO5PFqPuge8OlP85D7CIvvWiHMXFau\nJOjtoWtbkdFDZ5NbvQnJjUnfaBJqRZ8Zo+H8hulwf7lxLV8u38qzNzzAcT87jNJXxXf/5Pd7k3Qk\nhtt1OioOBTlJp1mhq2wxlNFprzqs7+omCCwSlo8sKeiux2A2TUe1Rs40sVDYlsuSc8aQ5Aye5yJL\nASYK4GHJKh2+Rtoep61UpaRpbG3PUVUVOqoSCbeAhspoKoVedVH9CnknYDiXBzVg3MjQa5rYtoOf\n1FAcH9318GwJP21AzcNVfbrcMqVEkmImix/ajvuBhCy59BVKjOYkPCmFp4JhlVADGbki4Ug+gaLh\n+Aqu6qHbAapso3iQslwqySQ1xUINUiSRkfwiSctmSyZL3tXJ2FWqsoKkJAgUCcsvk0TD8S0C2cAK\nPDxZLAEgS3SaFq4sMZpO0FmtYmkqruTTM15hQ087sueSNi00z0V3HRRFoqJk0D0JU5WwFZmEZZNx\nKtR0HcODgq6Bkcd1htF8GcOTqGouduCiyZ0YlJDwAAnHFbV+kgQBMpIs41LDDySkQMP1A1QNgkDC\nx8f3JRRZRg98ZCmBoXjYqoLv+eB7ZKs1OsplRtNpUqbLaDpDJZGgrVampsjImowxYlLIpNAISLsu\nvidRkTQ03abN8xnN59B8H9cKsD2JuYVRnMClnFKoJcEPDHxJJpA0FL9G1lcwlSKVZBu+naTTLKEE\nAVbgU5NUqmmd9koJ2dO5WXqBRUMwmH6Kq1d8gnd//+vTuj+08PeJ3UmCpmW58/mGNIBly5axbNmy\neAOHvZ372u5F1hVsT8ZDxpNkVNulZpokNRfNT+GqBkgeKDqqPY7iSRRdHc1wkQ0Zx0uCYoGWxihb\nGOVN+Kle/ESOqlzFl2WSlonkm8iegiNlMeQSxbYcicAmIE2iWKJmO2SlBJ4q4SjgyAG2rOHh41dr\nKEEbaoeMUayiyRauGqBaKWxNx3QLeL5ETdJIJlRqloPjBWRLzzOWHiTnLCWXUDFUgxE5QHcCcoHC\niA5ByUEKPNLpLL5XZdgBqeRRmZGg37EoJxJkzCpF28FzLSq6g17pQpIHyPkpMu1ZSopKV01CTvjc\nZ5d43tlCRpmPX7Fp9yW0zgyBrxJ4DkqiDVsugwOOW8GrlGlXEliyj+Y6+G1JZCOPrQXI6kxuq32c\no9fDyc8/xqWPimL23PhBXLL4+5xzyDnkf3I82TedDD8LVaCDDuIHt57PseEqcCMJqlQlymSZ+bp9\n4PpYJQoCwSV8H2qNp7Vpks9nqNVEoJZQE6Caoq9NaBBATw8MDlIl1VQT1EiAVMIoz7K2rwTtIB2u\nxxKrz4mESB0ryG1UcwlyI+VY8pJlQaYsSzw3OAgHHyxS4rZtg9tuayZB8+bVxxKRoGxapZTZhuK0\n4a07hrY2SGtp1K4Kg4Nt9T6vdHYiFwpUOsUk+7k2jPJkJch0TWaFItTirRkctYynBJSVOFCyFUh7\nYiV+3yFYPSD2NenC3IWH8LP0EAo+53MZQ84LXDAO83mM69/5Ef7nVz9g9A1HwhO3c0BqPmcf9XZ+\nb5W4c+2d3Pzczaw5Zg0BQT14PnTmoZifDoPM/n544gmKnRlyI2UCCYpRXll7u5AOK2U6ZnQgOw5V\nAuTwOKU3DlDUIWl6JNQkrjJOtm0lttmgBNkVEgr4pokkweE8AMBg4Up4lUvv+r0pqY8yq+RxXWj1\nXPI6eWrrW7jqHTaVe4skpDyFAhQSoRKkQ2eHghR47M3zsBqSC2eTXrdv06mTTEKy1M7gId30PThG\noSazxZCoOBWspIYyZrKtewsjfg8AlfKCpoB5R+lwjdhZT6GJaDRFgF0nQQPlkMy7OqP5u3jbHR/k\n+cUiJa9sl+mShBKkenlsqUCP2D0WLmzOFI3gITctemBZBJJMoGpIQUCbkmaf/YdI3QuPFVfxH789\nl65sw1qb59WVHlWRcSUXhTj3cVfT4abrvOf6LpqihosWNuvXNyhBgUO1UQmKds21GDfH8aSwZq3h\nNlfSRe+fmjY1CcrY4v0pSaIQpYyedRYceSTWb74DwLbeDL0roLvBALKig6VJ6AMiZXl02zre+Kfl\nLC1v5pYoceN08d9FR7fx2uzByMWtdPrgtGu0GQYVLQt+Gdmq4ZkmRjqJ7Gk4WQPPk+gYH0HRDEZT\nXXiBi5GRmeH7bECls+aTkNupqTADBVtNElBjq+fjSl0MSeBKEoajs0dgQrrASN+BZLZuoy2QKCYc\nTKOTuWOj1NpzDBopZtZKlLQsiqThpgwsXaaoSiR9B6lsoiYgYVq8mJ4LlXFSto0u+Ui+jI+NbXsE\nhoJjdCH5HglfRtfbGcei3KmTTyrg1ZBdmXY/AMdmPJFEVZKYuoLsmuQciaocMOR5tFUUOmzozaYw\nfY+qnabQ3Y5ilvAsGxUdU05QTEgYSprAtYWhjW+ho2HjEiDR6UnU+mYgex6SX2N87jxmbR2j1pPH\nyqYpSQa2pKONrSdIJ5FNG11XSXg+BRKM5drQR4poqkPWqjFEDdVYjKXCqOVjuC8QaFl0cpjKHDxF\nRwoUfMmiRoDkK0j4OL6LFhioCviSjSL7OI4B+OiygqyAaXpsG3NxlRF8I0vKk9EVQNUYTqUYKwxT\nzLdTSqdJV0ukq2VG/C6kRJaKLVHrlOnL21R9GJMkEoFL2QvI1wqs0TvRRk30jIyaVtADl/FhDcmU\nGZq7F66fQFJKyLgEtk1FcRio1hjzUqT9gK6emWyTNAgUFAsSrk1GlxieIzPqbWXGutX8Jn8AiUqe\nvZYundb13sLfBsuXL2f58uUvaRu7kwRtBmY3PJ6NUIOa0EiCJuL0i8+E0D2shb9fnF/XsyT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xYr6KedBpd+P8yZN9oxsMiLLBmRDqfpfOyEL4u8umOOEd7aIcyo8/rcuWS3Pc9Z/IgZt1yJ1C0I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\n/9+Djou1YmNHAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e23c39ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for line, label in zip(plt.plot(gyro_ts, gyro_vs), 'XYZ'):\n",
" line.set_label(label)\n",
"plt.legend(loc='best')\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Angular velocity [rad/s]')\n",
"plt.title('Meassured angular velocity')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Attitude in spacecraft is usually represented as a rotation mapping a fixed reference or world frame to the spacecraft body frame. Define $q_k \\in \\mathbb{Q}$ to be the unit quaternion representing the rotation from the reference frame to the body frame at timestep $k$. Further let $\\omega_k$ be the angular velocity vector of the spacecraft at timestep $k$.\n",
"We use the notation $\\dot{x}$ to denote the differential of $x$ with respect to time and $q^*$ to represent the conjugate of quaternion $q$. Hence we will use $\\ddot{p}_k$ to represent the linear acceleration felt of the spacecraft. For attitude estimation, it is assumed that this is simply the acceleration due to gravity.\n",
"\n",
"We will be sensing orientation by integrating gyros with some bias. Let $b_k$ represent the gyro bias at timestep $k$ such that the gyro measurement $\\omega^{(g)}_k$ is related to the true angular velocity by\n",
"$$\n",
"\\omega^{(g)}_k = \\omega_k + b_k + \\nu^{(g)}_k\n",
"$$\n",
"where $\\nu^{(g)}_k$ is the gyro noise at time $k$ whose components are assumed to be i.i.d. samples from some zero-mean Gaussian process. The gyro bias, $b_k$, is assumed to be a Gaussian random walk. (I.e., $\\dot{b}_k$ are drawn from some stationary zero-mean Gaussian process.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is an issue with using the attitude as represented by a quaternion directly in a Kalman filter. The interdependence of the four components of $q_k$ is highly non-linear and, relatedly, the four components are a redundant parameterisation. We wish to use a quaternion representation, however, because it does not suffer from singularities of representation. To this end we'll be keeping track of the *error* in attitude, $\\Delta q_k$ from frame to frame. I.e., $q_{k+1} \\leftarrow \\Delta q_k \\, q_k$. Further we will represent $\\Delta q_k$ with some three-parameter vector representation. As long as the error remains far from the representation's singular points, we'll be fine.\n",
"\n",
"We will be using the *Modified Rodrigues Parameters* representation. (NASA has an [informative paper](http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19960035754.pdf) on this representation.) Letting $\\left<q\\right>_s$ and $\\left<q\\right>_v \\equiv \\left<q\\right>_i \\mathbf{i} + \\left<q\\right>_j \\mathbf{j} + \\left<q\\right>_k \\mathbf{k}$ be the scalar (real) and vector (imaginary) components of the quaternion $q$, we have the MRP representation of $q$ defined to be\n",
"$$\n",
"\\mbox{mrp}(q) \\triangleq \\frac{1}{1 + \\left<q\\right>_s} \\left< q \\right>_v \\equiv \\bar{n} \\tan \\left( \\frac{\\theta}{4} \\right)\n",
"$$\n",
"where $\\bar{n}$ is the unit vector pointing along the axis of rotation and $\\theta$ is the angle of rotation. In particular, note that $\\mbox{mrp}(1) = \\vec{0}$ and that the differential of the function w.r.t. the quaternion components is relatively easy to find via the chain rule:\n",
"$$\n",
"\\frac{\\partial}{\\partial \\left< q \\right>_{\\{i,j,k\\}}} \\mbox{mrp}(q) =\n",
" \\frac{1}{1 + \\left< q \\right>_s} \\left\\{\\mathbf{i},\\mathbf{j},\\mathbf{k}\\right\\},\n",
"\\quad\n",
"\\frac{\\partial}{\\partial \\left< q \\right>_s} \\mbox{mrp}(q) =\n",
" - \\frac{1}{\\left(1 + \\left< q \\right>_s\\right)^2} \\left< q \\right>_v.\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mrp(1): [ 0. 0. 0.]\n",
"q: [-0.72905988 0.24301996 0.48603992 -0.41614684]\n",
"mrp(q): [-1.24870417 0.41623472 0.83246945]\n",
"mrp^{-1}(mrp(q)): [-0.72905988 0.24301996 0.48603992 -0.41614684]\n",
"error in inverse: [ 0.00000000e+00 -5.55111512e-17 -1.11022302e-16 0.00000000e+00]\n",
"Jacobian of mrp(q):\n",
"[[ 1.71275941 0. 0. 2.13872981]\n",
" [ 0. 1.71275941 0. -0.71290994]\n",
" [ 0. 0. 1.71275941 -1.42581988]]\n"
]
}
],
"source": [
"def q2mrp(q):\n",
" \"\"\"Convert Quaternion, q, to the MRP vector representation.\"\"\"\n",
" return np.asarray(q[:3]) / (1. + q[3])\n",
"\n",
"print('mrp(1):', q2mrp(Quaternion())) # should be (0, 0, 0)\n",
"q = Quaternion.from_axis_rotation([-3.,1.,2.], 4)\n",
"print('q:', q)\n",
"v = q2mrp(q)\n",
"print('mrp(q):', v)\n",
"\n",
"def mrp2q(v):\n",
" \"\"\"Convert MRP representation, v, to Quaternion.\"\"\"\n",
" v = np.asarray(v)\n",
" mag_v = np.sqrt(np.sum(v**2))\n",
" if mag_v < 1e-10:\n",
" return Quaternion()\n",
" n = v / mag_v\n",
" return Quaternion.from_axis_rotation(n, 4. * np.arctan(mag_v))\n",
"\n",
"q_prime = mrp2q(v)\n",
"print('mrp^{-1}(mrp(q)):', q_prime)\n",
"print('error in inverse:', np.array(q_prime) - np.array(q)) # should be close to(0, 0, 0)\n",
"\n",
"def mrp_jacobian(q):\n",
" \"\"\"Return the 3x4 Jacobian of the mrp() function. Assumes that quaternion is\n",
" in i, j, k, scalar order.\n",
" \n",
" \"\"\"\n",
" s1 = 1. / (1. + q[3])\n",
" s2 = -1. / ((1. + q[3])**2)\n",
" v = np.asarray(q[:3]).reshape((-1, 1))\n",
" return np.hstack((s1 * np.eye(3), s2 * v))\n",
"\n",
"print('Jacobian of mrp(q):')\n",
"print(mrp_jacobian(q))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the *state*, $x_k$, of the spacecraft at timestep $k$ to be the following stacked vector representation:\n",
"$$\n",
"x_k \\triangleq [\n",
" \\mbox{mrp}(\\Delta q_k), \\omega_k, \\dot{\\omega}_k, b_k,\n",
"].\n",
"$$\n",
"In addition we additionally *record* $q_k$ although it is entirely determined by $x_{\\{1,\\cdots,k-1\\}}$."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Slices which extract individual values from the state vector\n",
"attitude_err_slice = slice(0, 3)\n",
"ang_vel_slice = slice(3, 6)\n",
"ang_acc_slice = slice(6, 9)\n",
"gyro_bias_slice = slice(9, 12)\n",
"\n",
"# Overall length of the state vector which is updated by Kalman filter.\n",
"# (I.e. state without attitude quaternion.)\n",
"STATE_DIM = 12"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The zero-noise kinematics of most of the state components may be written directly:\n",
"$$\n",
"\\frac{\\partial}{\\partial t} \\omega_k = \\dot{\\omega}_k, \\quad\n",
"\\frac{\\partial}{\\partial t} \\dot{\\omega}_k = 0, \\quad\n",
"\\frac{\\partial}{\\partial t} b_k = 0.\n",
"$$\n",
"\n",
"The derivative of the attitude quaternion, $q_k$, is related to the angular velocity, $\\omega_k$, by the non-obvious but standard result\n",
"$$\n",
"\\frac{\\partial}{\\partial t} q_k = \\frac{1}{2} \\Omega_k \\, q_k\n",
"$$\n",
"where $\\Omega_k = \\omega^{(x)}_k \\mathbf{i} + \\omega^{(y)}_k \\mathbf{j} + \\omega^{(z)}_k \\mathbf{k}$ is a pure-imaginary quaternion and $\\omega^{(x,y,z)}_k$ are the components of $\\omega_k$ along the corresponding axes of the reference frame."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def state_differential(state):\n",
" d = np.zeros_like(state)\n",
" \n",
" # attitude\n",
" d[attitude_err_slice] = 0.\n",
" d[ang_vel_slice] = state[ang_acc_slice]\n",
" d[ang_acc_slice] = 0.\n",
" \n",
" # gyro bias\n",
" d[gyro_bias_slice] = 0.\n",
" \n",
" return d"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the *a priori* prediction function, $f(x_k)$, as a simple forward integration of $x_k$:\n",
"$$\n",
"\\hat{x}_{k|k-1} = f(x_{k-1|k-1}) \\triangleq x_{k-1|k-1} + \\Delta t \\, \\frac{\\partial}{\\partial t} x_{k-1|k-1}\n",
"$$\n",
"We also define the *a priori* and *a posteriori* attitude quaternion estimates:\n",
"$$\n",
"\\hat{q}_{k|k-1} = \\left(1 + \\Delta t \\frac{1}{2} \\hat{\\Omega}_{k-1|k-1}\\right) \\hat{q}_{k-1|k-1}, \\quad\n",
"\\hat{q}_{k|k} = \\hat{\\Delta q}_{k|k} \\hat{q}_{k|k-1}\n",
"$$\n",
"where $\\Delta t$ is the length of each timestep and $\\hat{x}_{k|k-1}$ is our *a priori* estimate of the state at timestep $k$ given the ste at timestep $k-1$."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def predict_forward(delta_t, state):\n",
" diff = state_differential(state)\n",
" new_state = state + delta_t * diff\n",
" new_state[attitude_err_slice] = 0.\n",
" new_state[ang_acc_slice] = 0.\n",
"\n",
" return new_state\n",
"\n",
"def predict_attitude(delta_t, prior_state, prior_attitude):\n",
" omega = prior_state[ang_vel_slice] \n",
" omega_mag = np.sqrt(np.sum(omega**2))\n",
" if omega_mag > 1e-8:\n",
" q_omega = Quaternion.from_axis_rotation(omega / omega_mag, omega_mag * delta_t)\n",
" prior_attitude = q_omega * prior_attitude\n",
" return prior_attitude\n",
"\n",
"def update_attitude(post_state, predicted_attiude):\n",
" return mrp2q(post_state[attitude_err_slice]) * predicted_attiude"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Jacobian of the forward prediction step, $F_k$, may be written down directly:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def predict_forward_jacobian(delta_t, state):\n",
" J = np.eye(STATE_DIM)\n",
" J[ang_vel_slice, ang_acc_slice] += delta_t * np.eye(3)\n",
" return J"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below we'll start writing down the individual measurement functions and their Jacobians. To aid with that, we define a helper function for applying quaternions to vectors:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def apply_q(q, v):\n",
" \"\"\"Wrapper arround quaternion multiplication which handles zero-length vectors.\"\"\"\n",
" v = np.asarray(v)\n",
" if np.sum(v**2) < 1e-10:\n",
" return v\n",
" return Quaternion(q) * Vector3(v)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now write down the measurement functions and their associated Jacobians. If the measurement function is $h(x)$ then we will write down the Jacobian, $H_k$ where the $i, j$-th element of $H_k$ is defined to be\n",
"$$\n",
"H^{(i,j)}_k \\triangleq \\left.\\frac{\\partial \\left< h(x_k) \\right>_i}\n",
" {\\partial \\left< x_k \\right>_j}\\right|_{\\Delta x = 0}\n",
"$$\n",
"where $\\left< h(x_k) \\right>_i$ is the $i$-th component of the measurement and $\\left< x_k \\right>_j$ is the $j$-th component of the state vector."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The accelerometer measurement function is\n",
"$$\n",
"h_a(x_k) = q_k \\, g \\, q_k^*\n",
"$$\n",
"where $g$ is the vector acceleration due to gravity."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def h_accel(state, q_k):\n",
" q = mrp2q(state[attitude_err_slice]) * q_k\n",
" return apply_q(q, g_accel)\n",
"\n",
"def h_accel_jacobian(state, q_k):\n",
" J = np.zeros((3, STATE_DIM))\n",
" epsilon = 1e-5\n",
" h0 = h_accel(state, q_k)\n",
" for j in range(STATE_DIM):\n",
" ds = np.zeros(STATE_DIM)\n",
" ds[j] = 1\n",
" J[:, j] = (h_accel(state + epsilon * ds, q_k) - h0) / epsilon\n",
" return J"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The gyroscope measurement function is\n",
"$$\n",
"h_g(x_k) = q_k \\, \\omega_k \\, q_k^* + b_k.\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def h_gyro(state, q_k):\n",
" q = mrp2q(state[attitude_err_slice]) * q_k\n",
" return apply_q(q, state[ang_vel_slice]) + state[gyro_bias_slice]\n",
"\n",
"def h_gyro_jacobian(state, q_k):\n",
" J = np.zeros((3, STATE_DIM))\n",
" epsilon = 1e-5\n",
" h0 = h_gyro(state, q_k)\n",
" for j in range(STATE_DIM):\n",
" ds = np.zeros(STATE_DIM)\n",
" ds[j] = 1\n",
" J[:, j] = (h_gyro(state + epsilon * ds, q_k) - h0) / epsilon\n",
" return J"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The magnetometer measurement function is\n",
"$$\n",
"h_B(x_k) = \\frac{1}{|B|} q_k \\, B \\, q_k^*\n",
"$$\n",
"where $B$ is the local magnetic field vector.\n",
"\n",
"In general, $g$ and $B$ are a function of $p_k$. For the sake of this example we assume that they are fixed and known."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def h_mag(state, q_k):\n",
" q = mrp2q(state[attitude_err_slice]) * q_k\n",
" return apply_q(q, normB)\n",
"\n",
"def h_mag_jacobian(state, q_k):\n",
" J = np.zeros((3, STATE_DIM))\n",
" epsilon = 1e-5\n",
" h0 = h_mag(state, q_k)\n",
" for j in range(STATE_DIM):\n",
" ds = np.zeros(STATE_DIM)\n",
" ds[j] = 1\n",
" J[:, j] = (h_mag(state + epsilon * ds, q_k) - h0) / epsilon\n",
" return J"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"INITIAL_ATTITUDE = Quaternion()\n",
"INITIAL_STATE = np.array([\n",
" 0, 0, 0, # attitude\n",
" 0, 0, 0, # ang vel\n",
" 0, 0, 0, # ang accel\n",
" 0, 0, 0, # gyro bias\n",
"])\n",
"INITIAL_COV_DIAG = np.array([\n",
" 0.25*np.pi, 0.25*np.pi, 0.25*np.pi, # attitude error\n",
" 2, 2, 2, # angular velocity\n",
" 5, 5, 5, # angular acceleration\n",
" 0, 0, 0, # gyro bias\n",
"])**2\n",
"PROCESS_NOISE_COV_DIAG = (1e-2 * np.ones(STATE_DIM))**2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Letting $F_k$ and $H_k$ represent the Jacobians of $f(x_k)$ and $h(x_k)$ defined above, the EKF predict step is\n",
"$$ \\hat{x}_{k|k-1} = f(\\hat{x}_{k-1|k-1}; \\hat{q}_{k-1|k-1}) $$\n",
"$$ P_{k|k-1} = F_{k-1} P_{k-1|k-1} F^T_{k-1} + Q_{k-1} $$\n",
"where $P_{k|k-1}$ is the *a priori* predicted estimation error covariance at timestep $k$, $P_{k-1|k-1}$ is the *a posteriori* estimation error covariance at timestep $k-1$ and $Q_{k-1}$ is the process noise covariance for timestep $k-1$.\n",
"\n",
"A sensor measurement, $z_k$, with associated measurement function, $h(x_k)$, is incorporated into the filter by way of the update step. First compute the innovation and innnovation covariance:\n",
"$$ y_k = z_k - h(\\hat{x}_{k|k-1}; \\hat{q}_{k|k-1}) $$\n",
"$$ S_k = H_k P_{k|k-1} H^T_k + R_k $$\n",
"where $R_k$ is the sensor's measurement covariance. Next we compute the Kalman gain:\n",
"$$ K_k = P_{k|k-1} H^T_k S^{-1}_k. $$\n",
"This gain is used to compute the *a posteriori* state estimate mean and covariance:\n",
"$$ P_{k|k} = P_{k|k-1} - K_k H_kP_{k|k-1} $$\n",
"$$ \\hat{x}_{k|k} = \\hat{x}_{k|k-1} + K_k y_k. $$\n",
"\n",
"Multiple measurements at the same timestep may be handled by repeated updates after the prediction step.\n",
"\n",
"It is worth noting the curious property of $P_{k|k}$ in that it does not depend on the data. (Assuming that each sensor's measurement covariance is data-independent.) It follows that the state estimate covariance is entirely pre-determined."
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.4/dist-packages/ipykernel/__main__.py:59: DeprecationWarning: Implicitly casting between incompatible kinds. In a future numpy release, this will raise an error. Use casting=\"unsafe\" if this is intentional.\n"
]
}
],
"source": [
"prior_state_mean, prior_state_cov_diag = INITIAL_STATE, INITIAL_COV_DIAG\n",
"post_state_mean, post_state_cov_diag = INITIAL_STATE, INITIAL_COV_DIAG\n",
"prior_attitude, post_attidude = INITIAL_ATTITUDE, INITIAL_ATTITUDE\n",
"\n",
"init_t = meas_time_type_idx[0][0]\n",
"a_priori_t, a_posteriori_t = init_t, init_t\n",
"\n",
"estimates = []\n",
"for meas_time, meas_type, meas_idx in meas_time_type_idx:\n",
" assert meas_time >= a_priori_t and meas_time >= a_posteriori_t\n",
" \n",
" if meas_time > a_priori_t: \n",
" # Record a posteriori estimate\n",
" estimates.append((\n",
" a_posteriori_t, post_state_mean, post_state_cov_diag, post_attidude\n",
" ))\n",
"\n",
" # Update a priori measurement\n",
" delta_t = meas_time - a_priori_t\n",
" \n",
" prior_state_mean = predict_forward(delta_t, post_state_mean) \n",
" J = predict_forward_jacobian(delta_t, post_state_mean)\n",
" \n",
" prior_state_cov_diag = np.diag(\n",
" J.dot(np.diag(post_state_cov_diag)).dot(J.T) + delta_t * PROCESS_NOISE_COV_DIAG\n",
" )\n",
" prior_attitude = predict_attitude(delta_t, post_state_mean, post_attidude)\n",
" \n",
" post_state_cov_diag = np.copy(prior_state_cov_diag)\n",
" post_state_mean = np.copy(prior_state_mean)\n",
"\n",
" a_priori_t = meas_time\n",
" \n",
" if meas_time == a_priori_t:\n",
" if meas_type == 'accel':\n",
" h, h_jacobian = h_accel, h_accel_jacobian\n",
" z = accel_vs[meas_idx, :]\n",
" R = np.eye(3) * 5e-1**2\n",
" elif meas_type == 'mag':\n",
" h, h_jacobian = h_mag, h_mag_jacobian\n",
" z = mag_vs[meas_idx, :]\n",
" R = np.eye(3) * 5e-2**2\n",
" elif meas_type == 'gyro':\n",
" h, h_jacobian = h_gyro, h_gyro_jacobian\n",
" z = gyro_vs[meas_idx, :]\n",
" R = np.eye(3) * 5e-2**2\n",
" else:\n",
" print('Unknown measurement type:', meas_type)\n",
" continue\n",
" \n",
" predicted_meas = h(prior_state_mean, prior_attitude)\n",
" H = h_jacobian(prior_state_mean, prior_attitude)\n",
"\n",
" y = z - predicted_meas\n",
" S = H.dot(np.diag(prior_state_cov_diag)).dot(H.T) + R\n",
" K = np.diag(prior_state_cov_diag).dot(H.T).dot(np.linalg.inv(S))\n",
" \n",
" post_state_cov_diag -= np.diag(K.dot(H).dot(np.diag(prior_state_cov_diag)))\n",
" post_state_mean += K.dot(y.reshape((-1, 1))).reshape((-1,))\n",
" post_attidude = update_attitude(post_state_mean, prior_attitude)\n",
"\n",
" a_posteriori_t = meas_time"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"e_ts = np.array([v for v, _, _, _ in estimates])\n",
"e_means = np.array([v for _, v, _, _ in estimates])\n",
"e_variances = np.array([v for _, _, v, _ in estimates])\n",
"e_attitudes = [v for _, _, _, v in estimates]"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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FBQWJG+gwGQEAIF54G2rlb88IS6NHBwAST3wEOv1ORsC4aADA8GhtrlegM7JHh7oIABJL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\neqiIPispAp2YCh6wbuNna0mrc3DGjWd07cE0zQpY5I3b8+rrrcBNHP5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NAAAg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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e20831048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(e_ts, np.sqrt(e_variances))\n",
"plt.semilogy()"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7e207120b8>,\n",
" <matplotlib.lines.Line2D at 0x7f7e205dd048>,\n",
" <matplotlib.lines.Line2D at 0x7f7e205e0668>]"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+ApgNOyQSkEgQZwCA/rHNJCv9VKdebuvYrPWmxzXZ1vO2wryw41mcFjQSaRUn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\nRqPRaDQajUYzIfn/SrR445Rj9ZsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e20712fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(mag_ts, mag_vs, alpha=0.5)\n",
"plt.plot(e_ts, [h_mag(s, q) for s, q in zip(e_means, e_attitudes)])"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7e20549048>,\n",
" <matplotlib.lines.Line2D at 0x7f7e204d1cf8>,\n",
" <matplotlib.lines.Line2D at 0x7f7e204cdd68>]"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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coBml5AyOEOIXAK4CMEsIcQzAlwDcAeAhIcQnABwGcNOYG3r5ZWDbNtlH4gMf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\n0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k2VgXQNnTwPTrrB6dNf4dw5QVQi4XyDO7Bb7Dd4ajGB/pHkIammQ8O2bIEf/1j83ZcV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\n79bhM4f1xP4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eNbPbqzEGzJ+Z7TWzXxQ65T1d7fFgemb2P83siJm9UHJft5n9xMxeMbOH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\nAGgYBBwAAAAADYOAAwAAAKBh/H87ClwLRF/Z6gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e20549080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(accel_ts, accel_vs, alpha=0.5)\n",
"plt.plot(e_ts, [h_accel(s, q) for s, q in zip(e_means, e_attitudes)])"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7e204ef630>,\n",
" <matplotlib.lines.Line2D at 0x7f7e2040db00>,\n",
" <matplotlib.lines.Line2D at 0x7f7e20408b70>]"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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kJT/DNTIzbayPGZxaMBHRcGCQob5Qr8iM5IHBm74MZ1y9d8UW/FV4YXcBZsxAz/Eis13O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\nDw0IcGLZaF09AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e204ef710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(gyro_ts, gyro_vs, alpha=0.5)\n",
"plt.plot(e_ts, [h_gyro(s, q) for s, q in zip(e_means, e_attitudes)])"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7e205a0208>,\n",
" <matplotlib.lines.Line2D at 0x7f7e202d8400>,\n",
" <matplotlib.lines.Line2D at 0x7f7e202d86d8>]"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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G28rIAIKD/atTIeh+2E0BNy1C+Y5+TqdPN989flK9TnkIRSessi9LRERFjoEQEVGAEgFq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\nGI4QAgAAhiOEAACA4fw/ESUQFmx6++0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e2067eba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(e_ts, e_means[:, attitude_err_slice])"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7e20439320>,\n",
" <matplotlib.lines.Line2D at 0x7f7e20439668>,\n",
" <matplotlib.lines.Line2D at 0x7f7e20439940>]"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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MBlN8apw35I3f7w/7s3aNIyKi0mEQIiIimmZBNRifGjfgGwAgN1FNv5+IiKYOgxAREdE0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\nhyAEAAAAoOsQhAAAAAB0nf8f/mXbLQ9vO94AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e202b1320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(e_ts, e_means[:, gyro_bias_slice])"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f7e203db5f8>,\n",
" <matplotlib.lines.Line2D at 0x7f7e203db940>,\n",
" <matplotlib.lines.Line2D at 0x7f7e203dbc18>]"
]
},
"execution_count": 101,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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UavsbVNWhJLckOZLkiiTXV9Xlq8OfTPLd3f1Xk3whyU0L5wMAAHBKS0PomiS3rT7fluR1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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f7e20456780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(e_ts, e_means[:, ang_acc_slice])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.4.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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