diff --git a/data_processing/sensitivity.ipynb b/data_processing/sensitivity.ipynb index a1951b7..b649ba1 100644 --- a/data_processing/sensitivity.ipynb +++ b/data_processing/sensitivity.ipynb @@ -1,468 +1,468 @@ { - "cells": [ - { - "cell_type": "code", - "execution_count": 4, - "id": "34bbbb98", - "metadata": {}, - "outputs": [], - "source": [ - "from autoemulate import AutoEmulate\n", - "import torch\n", - "import pandas as pd\n", - "from pathlib import Path\n", - "from sparging.config import ureg\n", - "\n", - "# FOLDER = Path(\"/home/monroe/libra_pi/libra_sparging/20260422_164947\")\n", - "FOLDER = Path(\"datasets/20260424_131925\")\n", - "t_residual = 7 * ureg.day\n", - "\n", - "# model = AutoEmulate.load_model(FOLDER / \"GaussianProcessRBF_1_20260422_165335.joblib\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "9e04a7db", - "metadata": {}, - "outputs": [], - "source": [ - "X = pd.read_csv(FOLDER / \"simulator_inputs.csv\")\n", - "Y = pd.read_csv(FOLDER / \"simulator_outputs.csv\")\n", - "Z = torch.tensor(Y.values, dtype=torch.float32)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e25078c0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/tmp/ipykernel_83803/3239760125.py:29: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", - " fig.tight_layout()\n" - ] + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "34bbbb98", + "metadata": {}, + "outputs": [], + "source": [ + "from autoemulate import AutoEmulate\n", + "import torch\n", + "import pandas as pd\n", + "from pathlib import Path\n", + "from sparging.config import ureg\n", + "\n", + "# FOLDER = Path(\"/home/monroe/libra_pi/libra_sparging/20260422_164947\")\n", + "FOLDER = Path(\"datasets/20260424_131925\")\n", + "t_residual = 7 * ureg.day\n", + "\n", + "# model = AutoEmulate.load_model(FOLDER / \"GaussianProcessRBF_1_20260422_165335.joblib\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "9e04a7db", + "metadata": {}, + "outputs": [], + "source": [ + "X = pd.read_csv(FOLDER / \"simulator_inputs.csv\")\n", + "Y = pd.read_csv(FOLDER / \"simulator_outputs.csv\")\n", + "Z = torch.tensor(Y.values, dtype=torch.float32)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e25078c0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_83803/3239760125.py:29: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", + " fig.tight_layout()\n" + ] + }, + { + "data": { + "image/png": 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Lpl8nZwmEHKMlS5aoYyDVUXJM5AzIW2+9laOfL2cVzI9HdsiUrD59+qjV7iZMmJDhOjmrIWcnvvjiizuaepdTcpZk06ZNqvpHnteyOqG1FfiyIo+pTFeTM8lyfOW5KiXOskKhuSzY1pQlqeyQaWfyGMq0S0vyeMmqhTIVUyo/pFpm7dq1qupDHg95Tttj+dyXLfM0WEf+HqXM2fL5JaRSSn4vOXZCpl5KWXq1atUy7Je5KiUrmf+O5Dkrzws5jpa/h/wN16pVK/3vWEq3ZVrfSy+9pKp45AybI6SSSs5Eyn1ZkuN8J3788Ue1CqOUisvZTPm7kUqhv//+O0f3lxuvrZlJ2bs8X3v06KGqSy2Pr7xeyfVSqWopq2pQW6TKSe7PfMY1Nx8X+VuTyjp5jpqPtUyTEJbHW56LUtllWfovq4zKmd4HHnggR78Xkb9gPMh4kPGgf8eDlvczfvx4Fe/J5wx535V/ZapdTmOcO41P5DOGzAz53//+pyqfpJJMquetkSoqa3GFxB054ehnRfIsTEp5mWvXrqkER+apXSLzZSdPnlRTJGQancyjlWSJJLTMHwCkP1FW/vrrL9WTRkiSYsOGDeo+Xn311Qz3Ib1mpGxYPmDIC798L5vl/F2Z/iGlk/JCKR9SLDeZ1mPZb8QWmaoi/bPkhU/mhssHQvmAbrmUp4xZfndbH9bkGMoLoxwX6X2SuceT3Ke8uFqbzyzJLOlHk5m8kciHO0mkyLQmmaaY+T6FlL1KosVMXthlSowkiSz3lYSftQBUSpDNP19+T5lGI2WqMl45trLJ80PeJORrmbZk7cO0/P4ylfD333/PUM4cFxenHj+Znin9f8z3aS59lq/NU7icRUqfJVkmb1LyhiTHVt7MckKSdS+88IJ6Q5TpRvI7C/N0JZnKlZmUDEsiTN7U5Q3Y2uOdmTyH5UO0PG4SBNgiwU3m574kj7JDfoYEQpnJ42W+3vyv/M6ZWbvMnsw/S/6O5TGR+8n8u8jfpfnvWJLY8rtJ0lkeP0loyBilvNuy75K138+R17fskCS1BEjyeMvfqCTu5HVMSsszL/HsiNx4bbX1u8vfriRmMh9bCfpE5tdJa88FR0hCTpI/mV+r7vRxkdcfec+QYy5TGORvSF6rzMGq5bGR1x4p2Z8zZ456bZHeglL2L6+l1qZZENF/GA8yHmQ86N/xoNnw4cPx+uuvq7YhclJ5y5YtKiaRk0g5jUdyIz6RGEviPTl+tnreynWZe/6a4wprn4Uc4chnRfI87CnlZaTyQM6MSBIns8yXSeM+SSDIhwPzWWqxa9cuh3+e9D6SFxypjrCszLJs9m0mH9Jkk0oB+cOXFy7pSyQv/tKTRvoxyQuDtUbdwjJZY4u8eMmLr2zyIUYSYfKBt3379qr5oCR5pNJH5oVLlYi1IE6qvqRfkbzBmPs0WTL3kpLeJzIf28ycOMt8v+aElPSmkQ96cuYlM2s/x/L2lmdo5OfLcTc3BTQzNyw0/3ypPJHbylmLzORYyHPl/fffV4+BZUJKfn95PixbtkwlDizJ7ydJB5krLltmcp/yIdba4+8M8pyQpvg5rTyR54v0spF+R/KYy3NQPsTL80V6AWXulyUBiPQ3k+MqFT/Z6adlPsNlr2G0JGUyN2/O7lx/+RuSflGZSU8BIb+jeT9rfeasvXbYk7laTu5fLpNEjK3+DJmfy3Js9uzZoxK28lhI7zg5i2jr93Pk9U3Ia5K1xKs8j83HQUgiSh5vqYq0/H2s3dYRufHaao38fUnVVb9+/VRy2Br5PSzlpJpRXgdkk4a41hZAuJPHRXreyRlKeawfe+yx9MttNWCXM6nSB0P6cEmCUIJeqbIiIvsYDzIeZDzo3/GgZYwjldpSLZU5FpIZKmbmz3GZYx9HigKyG59IjCT7yucxiUXlc5K1xWXkPV+ST5aJKXNcYW2BKkc48lmRPA+TUl5GmhZLWaJ8GHr33XfTX2CkcXDmhnDmDyuWHxLlhVIqnjKTfaxl0+U+5I/bsimd7CcrPtki+0oyR5IJMkVEqoAkKSXlr+bG7JbJHmtsjceSvNBKQ3SpVpDEi5x1kNJVSUpJVYSthJRMLZQKKSmvtUYaCcpxlQ9VluM0r1ph2cBcjuegQYNUQuqzzz6z2TBY3vik8a9UmkkZqaxiKKQaS86MSGWQmSR9pDmfTIOUqU+WP18+zMv4zOO0Vtoqx1reGGRankyhsvzALL+/vLHK7y9vMJlJEszafcqHRhmnTD20/LDvbPJGKck4mXZ1J2TKljnZKM9HSUhmTrpJ9Yt5VRAJQCyTDVmRM0GS8JBjY3nMM5Mqwfr169/BbwJ1tkcaaEsSylwdJWTKqLzRmp9LUoEnZ4okeWk5hU/+Bu+E/B3L80H+7qz9nVkjfzdyxk6SpPI8tqwMzEzOSkr1nyQ2LKeKSTVNZrK6nSS7LEkCU5rBWz5P5efLsbdM4EjQk9PV97Lz2mqN+XaZX+Pk8ZPfXxJGksiWMTuDJM+FTDd2lKOPi7VjI+T10dZro0x9kKpPqciUqc3mRTWIyDbGg/9hPMh40NfjQVtxg/l9N/N7rqzKKXGa5RjMK5lL3GSZAPv111+z/PnZjU/k5JIcR6mUlibj8nlNYkCpVstMPitaVlKZ4wrLVZRzytZrA3keJqW8kMyHloSETMGSM93yoikrYEmAItPLzOR6edGQvh0yjULOQssqXJKcyUxeoCXRJdfLigmS3ZcXS+l7JGcWZH6v9IuSbLZ80M384ic9Y6TXjewvHyjkZ5lXoJJEiDlZIi88UuY5bNgwlVyTs/SyPLwkQiQZY676MVdYyAu7TK+TJJFcJh9Y5MyQjE2mnsiZjKlTp6o3DCnFlcSLrKCReeqevIhLhlxeTGV/ycxbzn2W+zIvdy/luZIUklJY+VqmosjZDFnJQTL9li9m8iIqH/CkRFXGZ3mfcowsE19y3OQFXcYhySZ5E5E3Qkm8WPaUkmlO8mFRpjlJgk9WoJKqJpm3LmXH5vJhSSBZm04jx0rOLli+mMuHdPPjICuESUmxZVmx/O5yDOS21t4EJJEgY8nJG4QksuSMiXnFNUmS/PTTT+preS7IG50sGyvPV3meyeMoyTdJLsjUKDmjk3nFManEMy9pK0k+SQiY71OOlzmAkGBCHjt5A5V95M1R/lbk78dy1TDpLyCPjVQgyeMp35v7pQlJ5JnPksmZFwk6JFEmx1/OukhVoDz3JDmZ3RUQs0uOhVQuynilHF2eD/J3JQGIJA3M1W/y5it/g1K6LGcGpWJR3uglOMjqDJ498nvLa4EkYOVxkJVN5LVHjt369evV34FUv8gYJdEgSVz5G5bjL68xctbKVl8By3HLa4m5zF5+P/O4LclZOKlMlL4B8jcvrwdyDMwr0lgm0uRny34SnMhjJn9zkhCxV15vS3ZeW21VAMpzVJJikmSUx1ACWAkY5TkvvSmk6lSOo1wmfztSaSQnHswrAOWUjFWeBzKVWJZydpSjj4ucjJDXE6mEk8dcfjcZtyTCbZH3A/MJAPkbIiLHMB5kPCgYD/p+PGgvbpAYR+J0ef+V309W/JbChczVXXI8JBklKxHL5yA5OS0nOSV2c4Sj8Yn03pLqLTkG8plGNjnG8tlHjpV8/jOTWEo+C0n7EBmfefU9iV3lZ+VEVp8VyUO5u9M65Yys3lazZk21GlupUqW0d955J32VJ0uLFi3SatWqpVZFKF68uFqRa8mSJbetsiArJvTq1UvLkyePWmHJ8n6+/vprtRqcrPhVrlw5bcKECdpXX32VYQUHWZFLVqWQlRBkP1mZT1bAkHFaklWYJk+enD6miIgIrUqVKtpTTz2lHT58OH2/48ePq1XuzKtimFcGlBW/ZFW4AgUKpP/usoKW7C9ee+01q6sIyjjNK7pZ26yt3iCrQcjqb+afI8dXVrOwJD/L1n1aG4esziHHRVZJk61Vq1bahg0bbttPfo78PPm58vNlHNOmTdMcYW31PfPqErY2ud6eO1l9z94xMj9/kpKStCeeeEKrWrWqek4EBASoFT4eeeSR21aPM4/Hkd9Fjq2sTiSrHsrzskaNGur5l/lxNK88YmuzXO1EnvsNGzZUK7nIOPPmzatWJJHVDJ3B2more/fu1bp06aJFR0er54f8PVl7DPft26e1adNG/a3JeOVvRVY1k/uU1WTssbZqnCV5XZBjK88LWZWmfPny2qOPPqpW3RP//POP9uCDD6rL5XoZqxy3mTNnZrl6iqy4KKu6WY5bVm3L/LolK7tNmjRJvS7JvrKS5sqVK62uvievkbJSpTwP5HkmK+NYe810dPU9R19bbR3HFStWqJX/zKtNWv5M+bt4/PHH1f0GBgZqBQsWVK97b7/99m3P2R9//FHLDlkdSG4nj192Ofq4mPeT12/5++jdu7daLdLeykHy2MjjQkTZw3iQ8aAtjAd9Kx60FTfIKoLyflyoUCH12eLuu+9O/7yRORY6dOiQ+nwlx0Fii2effVZbvHixQ6vvORKf7NmzR8V8meMoifPr1aun3utlvJafLeQ2snK53E6O5dNPP63FxcVlORZb8VpWnxUtcfU9z6GT/7k7MUaUW6SKSbLr1vohERFUldPcuXNV1aOzpocRZYdMJZApgdIoXqrZiIjuFONBIs8mq0ZLVZtUSeWEVGpJqwqpaJPq/+zMAJD0h8w0ktYXMjtFqujutL0G3RlO3yOf4uiy80T+QKbtSd8pmT4nb/oypU7KqmV6KhNS5G4y1VrK6qUBqUyllACViCg3MB4k8n2SVJJNmq9Pnz7d4dvJNEhrC0WR+zApRUTZJsu+y2b3xSWALy/uJj3bpK+A9G2T/gEyl156xEkPHyJP6Icji2ZIb6sff/yRK+IQEXkZxoPkLtLHyrySYKFChbJ1W+mRa7n6IZufux+n7xFRtknT97Fjx9rdR5bcNa/0QURERES+hfEgEeUGJqWIKNvOnj2rNnucuaQ9EREREbkX40Eiyg1MShERERERERERkcs53qaeiIiIiIiIiIgol7ATsQMN/KQ0NTIyEjqdLreOOxEREXkJWT76xo0bajXL7Cw77e8YQxEREfkvzcH4iUmpLEhCqmTJkrn9+BAREZGXOXXqFEqUKOHuYXgNxlBERER0Kov4iUmpLEiFlPlARkVF8RlFRETkZ2JjY9UJKnNMQI5hDEVEROS/Yh2Mn5iUyoJ5yp4kpJiUIiIi8l+cxp+z48UYioiIyH/psmiDxMYIRERERERERETkckxKERERERERERGRyzEpRURERERERERELsekFBERERERERERuRyTUkRERERERERE5HJMShERERERERERkcsxKUVERERERERERC7ndUmp5ORk1K5dGzqdDrt27bK7r6ZpGDNmDIoVK4bQ0FC0aNEC+/fvd9lYiYiIiDwFYygiIiLyNF6XlBo5cqRKMjli0qRJmDJlCqZPn46tW7eiSJEiaNu2LW7cuOH0cRIRERF5EsZQRERE5Gm8Kim1ZMkSLFu2DJMnT85yX6mSmjp1Kl599VX07NkTNWrUwKxZs5CQkIA5c+a4ZLxEREREnoAxFBEREXkir0lKXbhwAYMGDcI333yDsLCwLPc/duwYzp8/j3bt2qVfFhwcjObNm2Pjxo1OHi0RERGRZ2AMRURERJ7KK5JSUvXUv39/DB48GPXr13foNpKQEoULF85wuXxvvs5Wv4XY2NgMGxEREZE3YgxFREREnsytSSlpQi4Ny+1t27Ztw4cffqiSQ6NGjcr2z5D7yBycZb7M0oQJExAdHZ2+lSxZMke/GxEREZGzMIYiIiIiX6DTJEvjJpcvX1abPWXKlEHfvn2xaNGiDMkko9EIg8GAhx9+WPWKyuzo0aMoX748duzYgTp16qRf3q1bN+TJk8fqbcyVUrKZSTJMElMxMTGIiorK4W9KRERE3kpiATlR5UmxAGMoIiIi8oX4KQBuVKBAAbVlZdq0aXj77bfTvz979izat2+PefPmoVGjRlZvU7ZsWbXa3vLly9OTUikpKVizZg0mTpxo82dJ3ynZiIiIiDwVYygiIiLyBW5NSjmqVKlSGb6PiIhQ/0olVIkSJdIvr1Klipp+16NHD1VV9fzzz2P8+PGoWLGi2uRraZL+0EMPufx3ICIicobzZ65hw/L9SIhLQokyBdGsbTUEBQfyYJPCGIqIiOh2xjQjNv+2HUd3n0BgSCCadKmH0tXYuscdvCIp5aiDBw+q0jCzkSNHIjExEUOGDMG1a9dUVdWyZcsQGRnp1nESERHdqdSUNHz45q9YtnC7OhGj1+tgTDMh/O0QvPBWT9zdtjoPMjmMMRQREfmLvev+xtsPTMHV89dhCDCovtNfjfoOjTrXxahvn0N4dLi7h+hX3NpTyht4Yh8JIiKi916djxW/7FSBVAa6m4t8TPhiAGo3Ls8DlQsYC/C4ERGRbzi+/xSeafCSOrmnmTLGUHqDHjXuroLJK28uyEauiZ/cuvoeERERZd/ZE1ewfOGO2xNSQlN5KXzz0Z88tEREREQWvp+4QE3dy5yQEiajCXvWHFAbuY5PTd8j8icXT13Bkq9WYvfaAyqTX6dVDXR8vCXyF83r7qERkZOtXbZPTdczWQmohFy+f8cJXLkUi/wFWeVLRGS5gveWxTuwbOZqXDl3FYVKFUD7/q1Qv30t6PU8X0/ky0wmE9b8sEm1O7BFpvOt+n4DarVgGwRXYVKKyAtt+GUrxj/yofrgKRl9cWDTIcx791eM/nE46ret6e4hEpETxccm2k1KmSXcSEb+gnwoiIhEYlwiXuvyjqqCkGk6EkMd2nYUa3/cjAYd62DM/BEICgniwSLyUanJqUhLSbO7j2YyIT4m3mVjIk7fI/I6Jw+exbiHP0RamjE9ISXkw2lqchrG9JqCiycvu3WMRORcxUrlR5rF3781AYEG5CvEhT2IiMymPfMl9q3/R31tjqHM/25bugufj/yGB4vIh0nSOU+haPs76XQoWq6wq4ZETEoReZ9fP1l2s2mMtVYymqbmSP/2BXvJEPmyezveheDgQJvXGwx6tOhUE+ERIS4dFxGRp7p89ipWzlmf4YSeJekv8/sXK3DjWpzLx0ZEriEtT+57qq2qNrc3xa/jwNZ8SFyIE6eJvMxfS3banQctwdbWpbtcOiYici1JNj3zWlf1debVYWRKSlTeMDz2XFs+LEREt+xZvd9mQspMKs4PbDzIY0bkw3q92AUlqxRX8ZI1j47uw0opF2NSisjLZBVQCWOq0SVjISL3adejLkZ/+AjKVPyvxNwQoMe97Wtg2rwhKFgki/J0IiI/YnQgflL72TnxR0TeLzwqDO+vewudnmiNoJD/qs5lyt6LXw1Bvzd6u3V8/oiNzom8TPWmlbHu5y02gyb5UFrj7iouHxcRuV6TVlXRuGUVnD99DQlxSShULC8io0P5UBARZVK1UcUsj4lOr0Ol+uV47Ih8XGTeCAz75EkMmtQP545eUMmpEpWK3VZ9Tq7BSikiL9NtSHu7Z/HkTGCXp9q4dExE5D4SQBUtmQ/lqxZjQoqIyAb5wFm3zV3QB1j/+COX392jIQoUz89jSOQnwiJDUb5WGZSsXJwJKTdiUorIy1RrXBFPjH8wvSrKTH2tA56dNgBla5Ry4wiJiIiIPM//Zg5FoZIFVEVU5uR+8QpFVeUEERG5FqfvEXmh3sPvQ+X65bFg+h/Ys/ZvWbkUdVrXQI+hHVXSioiIiIgyKlAsHz7eNhGLP1uOJV+vxPULMchfLC86PtEGnZ9so6omiIjItXSarCFPNsXGxiI6OhoxMTGIiorikSIiIvIzjAV43IiIiMg58ROn7xERERERERERkcsxKUVERERERERERC7HpBQREREREREREbkcG50TEZHPMJnikZT4M1JStkMHPYKC70FIaGfodEHuHhoRERGRxzq0/V+s/G4drl+ORcESBdC+fwuUqFTM3cMiP8CkFBER+YTk5I24fmUANO0GAIOs5YHEhO9xI+Yt5C0wF4GBld09RCIiIiKPkpKciomPfoi1P26CIcAA8zpo37+zAL2Gd8GT7/aDTpb6JnISTt8jIiKvl5Z2HNcuPwJNi791iVEuVV+ZTJdw7XJvmEyxbh0jERERkaf55IUZWDd/s/ramGaEyWhSm/hpyiL8NOU3N4+QfB0rpYiIyOslxH0FIFVSUFauNcJkuoLEhB8QHvGEG0ZH2WE0mrB1w2GsWrIX16/Go0jxPOjQvS6q3FWCZ2qJiIhy0dXz1/D7l39CM92sjrJGKqa6P9sBgUGBPPYe7vKZK/j9iz/x9+ZD0Afo0aB9HbR99F6ER4fDkzEpRUREXi8pcfGt6ijbkhOXMCnl4eLjkvD6c99h/86T0Bt0MBk1GAx6/LFgB9p1q43nX++mviciIqI7t/WPXTClWTuh95/YKzfwz5YjuOueqjzkHmzNDxsxod80aFLpJklGHbB1yS7MGjMP7/zxGio3qABPxciOiIi8nqYlZbUHTFqCi0ZDOfXe6IX4e/cp9bUkpMyVU2LZL7sw7+t1PLhERES5JCUxRSUvspIs+3m5tWvXokuXLihWrJiqvF64cGG272Pp0qVo3LgxIiMjUbBgQdx///04duwY3O3IrmMY//AHN6dfmqveNImPNSTEJuLlDm8j9qr0XPVMTEoREZHXCwisfqu5uS0GBAbe5cIRUXadPXUVG1b9/V8wZcX8bzYiJeVmrzAiIiK6M2VrllbJC3skgVO6WgmvP9Tx8fGoVasWpk+fnqPbHz16FN26dUOrVq2wa9culaC6fPkyevbsCXf7eepiqF70Vh5L6Q8Wfz0By2etgadiUoqIiLxeeMSALKbvGREW/qgLR0TZtWPzv1kGxnE3knD4wFkeXCIiolxQvWlllKpaHHobU+MNAXo07lIPBUvk9/rj3bFjR7z99ts2k0gpKSkYOXIkihcvjvDwcDRq1AirV69Ov37Hjh0wGo3qPsqXL4+6detixIgR2L17N1JTpa+p+2z+bTuMdqZhSsXUlt+3w1MxKUVERF4vOKQjQkL73PpOd9vbXETk/xAYVMMtYyPHpKUaHWpknpZmv3cYEREROUbed0d9NwzBYUEqAWVJElV5C+fBs9P9Y5GYAQMGYMOGDfj++++xZ88e9O7dGx06dMDhw4fV9fXr14fBYMCMGTNUciomJgbffPMN2rVrh8BA9zaBN6ZmHRulJntupTmTUkRE5BNBVXTeKYjK8y4MAf81cgwMrI08+b5CRNQLbh0fZa1S9eLqTJ49AQF6lK1QmIeTiIgol1SoXRYfb5uENv2aIzD45jpooZEh6D60Iz7a+o5PVEll5d9//8XcuXPx448/4p577lGVUFIFdffdd6sklChTpgyWLVuGV155BcHBwciTJw9Onz6tkljuVrlhBZvVbkKuq9qoIjwVV98jIiKfoNPpERb+sNpMpnj1vU4X6u5hkYOq1iyBshUL4+TRS+nNzS3JanwtO9ZEVJ4wHlMiIqJcVKJiUYz4aghe+OwpJMUnISQiRFUF+QuZmicnxipVqpTh8uTkZOTPfzMpd/78eTzxxBN47LHH8OCDD+LGjRt444030KtXLyxfvtyham9n6fFcJ+z8c6/tHTQN9w1uB0/FpBQREfkcvT7c3UOgbJJg7pWJvTHi8a9xIzYxQ8Nzua5U2YJ4akQHHlciIiInMQQYEB7tfzGUyWRSSbjt27ffloyLiIhQ/3700UeIiorCpEmT0q/79ttvUbJkSWzZskWtyucuje+rh57Pd1YNz6UqSpqbC5mSKSf6nv/sKRQrXwSeikkpIiIi8giSePpk3tNYOHcLlv26E3GxiShQOBr39a6P+3o3QGhYsLuHSERERD6mTp06qk/UxYsX1fQ9axISEm5LWJm/l6SWO+l0Ogx+7zHUvLcafv5gMf7echgGgx7129dGr+FdVEN7T6bTsmrg4OdiY2MRHR2tGplJZpSIiIj8C2MBHjciIvJucXFxOHLkSHoSasqUKWjZsiXy5cuHUqVK4ZFHHlGNzt977z11/eXLl7Fy5Urcdddd6NSpk/q6TZs2GDNmTPr0Pekv9c8//+Dvv/9GaChbRuQ0fmKjcyIiIiIiIiLyWdu2bVPJJtnE8OHD1dfSF0pIQ/NHH30UL774IipXroyuXbuqaXkyPU+0atUKc+bMwcKFC9XtZGU+aXj+xx9/MCF1h1gplQWeHSUiIvJvjAV43IiIiCh7WClFREREREREREQei9P3iIiIiIiIiIjI5bj6HhERkQdKSzXi790nkRifghJlC6BYqfw2901KSkJKSorD9x0UFISQkJBcGikRERGR57hw4hKO7z+FkLBgVG1SCUHBgTm6H8ZXrsGkFBERkQeRRXEXzdmMOR+vRMy1+PTLazUqh6Gju6NEmQK3BUxlS0fg/EWjwz+jSJEiOHbsGBNTRERE5DPOH7+ID57+AtuW7QK0m5dF5g3HAy/1QJ//dYVOp3P4vhhfuQ6TUkRERB5kzicr8e30P2+7fO+2Y3jhwU8w7YdnULRkvvTLpUJKElIntpdBVGTWs/Jjb5hQut5xdTtWSxEREZEvuHzmCp5r8gpiLt9IT0iJG9fi8eXL3+L6xRg8NflRh++P8ZXrsKcUERGRh7hyMVZVSFljMmpIiEvGt9NXWL0+IlLn8EZERETkS+ZOWICYKzdgMpqsXv/TlEU4c+Rctu+X8ZXzMSlFRETkIVYu2mX3egm01i7Zg6SE2/tHGTWTwxsRERGRrzCmGbF05mqY0mzHOHqDHstnrcn+fTO+cjpO3yO3ORF3Gd+f2IxVFw4g1WRE9eji6FumCZoUqJCt+b5ERL7i8vkY6PU6mEwWdeeZpKWZVK+pkLAgl46NiDxDWmoaVs3dgEWfLsPZI+cQniccbR65F/cNboe8haLdPTwiIpeLj01AckKy/Z10wMXTl101JMoGJqXILTZcPITh27+DCVr6WftNlw9j/aVDeLhMUwyv2pGJKSLyO9H5wu0mpIROr0NEdOhtl8vrqWxZcWQfIvJMKcmpeO2+Cdj55171WqCZNNU/5du3fsIvH/2BKWveRKkqxd09TCIilwqNCEFAUADSUtJs7iMlD3kLZj9xz/jK+Th9j1zuWko8RuyYgzTNmGEaiVG7+UHpu+Mb8ef5/XxkiMjvtLyvNky3XgttlZ43blkV4REhLh0XEXmGb8b8gF2r9qmvJSFlObX3xtU4jOk5Sa3gSUTkTwKDAtGybzMYAmynN4xpJrR+5F6Xjoscw6QUudyi0zuRYjLaPFevhw7fHdvo4lEREbmfrKrX5cHGVq+TaX0BAXr0G9ra6vWmbPxHRN4nJSkFv36yLEMyypIkpk79czY9aUVE5E8eevV+BIUGqRN4mUlrmNYP34NyNUtn+34ZXzkfk1LkcruvnZTze3ZLJPdeP8UzfUTkl54adR/6PNEcgUGGDJcXKZkP78x4AmUrF7V6O6k2dXQjIu9z+tA5JMQm2N1HqgQObDzksjEREXmKEhWLqinMJTNNYQ4INKDb0A4Y8fWQHN0v4yvnY08pcjm9amIum+0PRmx0TkT+ymDQY8Dw9ug18F5sW3cQiQkpKFWuIKrXK8PXRiI/Jj2ksiI5Z0f2IyLyRRVql8UXe97D35sP4fi+U6pyqkGH2oguEOXuoZEdTEqRyzXMXw4r7fSMMuj0aJC/HD98EZFfi4wOVT2mHMVGnES+rWTlYshTKBrXL8bY3Eem8NVpfZdLx0VE5EmkuKFak8pqyw2Mr5yP0/fI5ToVr42IgBDVO8oaaX7+aNm7XT4uIiJvplYzdWDj6ntE3ikgMAD3v3DfzWJzG1P3qjSsoDYiIsodjK+cj0kpcrnwgGBMb/gYwgKCMiSmpEJKDK/SEY0LMqAiIiIistR7RBe0fuiem3HTrVWmzC0PCpcphNHzR7DSnIiIvAqn75Fb3JWnJH5pPhy/nN6O1Rf+RrIpDTXzlMT9pRqiUlQRPipERNnE8nIi32cwGPDS7GfRrn9L/P7Fcpw6eBZR+SLVqlIt+jZDSFiwu4dIRORTGF85H5NS5DZ5g8PRv/y9aiMiIiKirEllVN3Wd6mNiIjI2zEpRURE5CFS04xYtf0I1uw8gqTkNFQoUQDdm9+Fog6sGmNestiR/YiIiIh8yZkj5/D7F3/i1MEzCI0Iwd09G6Np1/owBBju6H4ZXzkfk1JEREQe4PyVWAyZ9BNOXbwOvV4Hk0nD+j1HMWPxFox4uBX6tLa/Ep/p1pYVR/YhIiIi8hbfT1yIr175Dnq9Xq1CqjfosXLOepSpXhITl7+OfEXy5vi+GV85HxudExERuZnRZMKz7/2Ms5dvLvUuCSnzv1LY9O63K7FhzzE3j5KIiIjIs6z5YSO+GvUdoEElpIT5X6maeq3LO9BYJe7RmJQiIiJys417juP4uasw3kpGZSaVU7N+32r3PozQHN6IiIiIvJ0km+aM/9nmqqPGNBMObz+Kvev+zvHPYHzlfExKERERudmGPUdhMNh+S5aKqZ0HTyMxOdWl4yIiIiLyVNcvxuDonhN2K6Gkp9SW37a7dFyUPewpRURE5AENztU8PQf2Cw0OtHqdUbu5ZcWRfYiIiIg8XWpKWpb7SBFVyh2c1GN85XyslCIiInKzyqULw5RFUqpIvkhEhgVn2YjTkY2IiIjI2+UvmhdRBSLt7pOWakSleuVz/DMYXzkfk1JERERu1qlJVQQHBkBn5yzfA23r2OyZQERERORvZGpe16fbQ6e3Hh/J5RF5w3Fv78YuHxs5jkkpIiIiN4sIC8a4pzurJYwNFoGV+asmNcqgb5s6du/DBB2MDmyyHxEREZEveHBUD9S4u8rNE3cWIY4hQI+AQANenzccwaG2K82zwvjK+ZiUIiIi8gD31i6PWa8/hDYNKyMo0KDiqtJF82Fkv1Z477luCAgwuHuIRERERB4lKCQI7yx9HYOnPIbi5Yuo6vLg0CC0fvhefLR1Iuq2qenuIVIW2OiciIjIQ1QuXQhvP9VJfS0ryWRnup5Ju7k5sh8RERGRrwgKDkTPYZ3Vlt34KSuMr5yPSSkiIiIPlN2Ayjw9z5H9iIiIiHxRbvffZHzlfJy+R0RERERERERELsdKKSIiIgdpWirSkpYhLXktoBlhCKqNwNAe0OnD3X4MeSaPiIiIPNW5YxewdMYqXDx5GVH5I9H64XtQsW45eDrGV87HpBQREZEDjGn/IuFKP2jG07fePjWkJv6ApNjxCMv3OQKC7+ZxJCIiIrIgPZ5mvv495kz4GXq9/mYTAZ0O89//Dffc3wgvfztM9YQi/8Xpe0RERFnQTPFIuNwXmvHcrUvS1Lmzm1fGI+HKABjTjrr1OJo0ncMbERERkSv8Mv0PzBn/s5zLg8loglG2tJsx1PoFf+HDZ7706AeC8ZXzMSlFRESUhdTEn6GZLvyXiMpAlrNLQ0rc1x5RXu7IRkREROT02CTNiDnj59u8XjNpWDpzFS6fveqxDwbjK+djUoqIiCgLqUlLpdbczh5GpCUt5nEkIiIiuuXQ9qO4diHG7vGQxNRfi3fwmPkxJqWIiIiyYkq4VRFlm6Ylu/U4GqF3eCMiIiJytuSErGMjnV6H5MQUj30wnBVfTZgwAQ0aNEBkZCQKFSqE7t274+DBg1nebs2aNahXrx5CQkJQrlw5fPrpp7ftM3/+fFSrVg3BwcHq3wULFsCTeV1kmpycjNq1a0On02HXrl129+3fv7/az3Jr3Lixy8ZKRES+QR9YHYDB3h4wBFSGO2kO9pOS/cg/MYYiIiJXKlW1uEo6ZVUpVaZGSXgqZ8VXklx65plnsHnzZixfvhxpaWlo164d4uPjbd7m2LFj6NSpE+655x7s3LkTr7zyCp577jmVhDLbtGkTHnjgAfTr1w+7d+9W//bp0wdbtmyBp/K61fdGjhyJYsWKqQPsiA4dOmDGjBnp3wcFBTlxdERE5IuCwh9BasIsO3uYEBTe34UjIso+xlBERORK+YrkRbPuDbHp160wppluu15v0KNImYKo3bKG3z0wf/zxR4bvZ8yYoSqmtm/fjnvvvdfqbaQqqlSpUpg6dar6vmrVqti2bRsmT56M+++/X10m17Vt2xajRo1S38u/kgCTy+fOnQtP5FWVUkuWLMGyZcvUQXeUlKwVKVIkfcuXL59Tx0hERL7HEFgZwZEjrbx1ylkxHQJCuiIgtAvciY04yR7GUERE5A7PfDAA+YrmVQkoS/oAPQKDAzHqu2FqRpOnclV8FRNzs/eWvXyFVEFJNZWl9u3bq8RUamqq3X02btwIT+U1SakLFy5g0KBB+OabbxAWFubw7VavXq0yjpUqVVK3v3jxolPHSUREvik4cihC834OQ2Ct9Mt0htIIiX4LoXk/gE7nNW+p5GcYQxERkbsUKJ4fH/31DroP7YjQyBB1WUCgAS37NsNHW99BlYYVferBiY2NzbDJ1PmsaJqG4cOH4+6770aNGrarxs6fP4/ChQtnuEy+l6l/ly9ftruPXO6pvGL6njxI0h9q8ODBqF+/Po4fP+7Q7Tp27IjevXujdOnSav7l66+/jlatWqmSOKmgskaeNJZPHHkiERGRdzl56Trmb9qLf89fQWhQIFrVrIA2NSsgMMBeX6isBYZ2UJumGp8bAV2Ex5zdM2p6tWW9n0uGQx6CMRQRETkqNSUV63/+CxsWbkFiXDLKVCuBjoPaoETFond0EPMWzoOn3++PJyf3Q0JsIkIjQhAQ6BWpiGzHVyVLZuyPNXr0aIwZM8bubYcOHYo9e/Zg/fr1Wf6czHGnvM9nvtzaPp4Sr1rj1meCPDhjx461u8/WrVtVqZkkh8zzIh0lDb7MJOMoCS1JUC1evBg9e/a02QU/qzEREZHnmrVyG97/dR30eh2MJg16nQ7Ldh1CqYJ58MWQXiiSN/KOf4ZO73jFrquYoIPJgQJoUxarCJJ3YAxFRES56eKpy3ip7Zs4fegc9AYdTEYN25buwg/v/YonJ/ZD7xFd7/hnGAwGROaNgDfJbnx16tQpREVFpV9uqxjG7Nlnn8Wvv/6KtWvXokSJEnb3lXZEmSueZCZYQEAA8ufPb3efzNVTnsStcw0kI/j333/b3SSZtHLlStWVXh5QOeAVKlRQt5ck02OPPebwzytatKhKSh0+fNjmPpL4kvmc5k2eVERE5B3+3HMEU35dp8ICSUgJ060zSGeuxOCZzxfAdOtyIm/GGIqIiHKLyWTCq53H49zRCze/v1X2YzKaIEHV5yO/wfoFnrt6myeRhJTlZispJdVL8l7+888/q3xH2bJls7zvJk2aqJX6LEnPbcmLBAYG2t2nadOm8FRurZQqUKCA2rIybdo0vP322+nfnz17VjXrmjdvHho1auTwz7ty5YpKMklyyhZ50mSVzSQiIs/09Yq/VGWUORFlSZJUR85dweZDJ9G0Smn4GkebbN5pI07yDIyhiIgot+xYsRfH99kuxpDq8+/fWYi7ezj+2dtXOCu+euaZZzBnzhz88ssviIyMTK9uio6ORmhoaHrBzJkzZzB79mz1vbQzmj59uuo/Jf2ypan5V199lWFVvWHDhqnV+yZOnIhu3bqp+1+xYoVDUwPdxSu6ssqyh1IxZd6kabkoX758hhK3KlWqYMGCBerruLg4jBgxQj1Q0oNKGp536dJFBXE9evRw2+9CRETOEZuQhH0nL1hNSJkF6PVYd+AoHwLyG4yhiIgoK3/9vgOGQNt9N6XK/ODWI4i9eoMHM5d88sknamZWixYtVNGMeZPCG7Nz587h5MmT6d9LNdXvv/+uchu1a9fGW2+9pQp47r///vR9pCLq+++/x4wZM1CzZk3MnDkz28U8ruYd3cUcdPDgwfSlFGW+6t69e1VW8fr16+oBbtmypXpAJBNJRES+JdVodGi/lDTH9vM2jjfi5PRFuh1jKCIi/5WanOrQfmkpafA3zoqvzA3K7ZGEUmbNmzfHjh077N6uV69eavMWXpmUKlOmjNUH0fIyKXlbunSpi0dGRETukjc8DAWjwnEpNt7mPmkmE6qX9NxGj3feiDPr0nFH9iHfxRiKiIgyq1S/PH77LGMfoszyFc2LPIWi/e7gMb5yPq+YvkdERJQV6Xfw4L21YWvFW7k8PCQIHepW4cF0ApkqP3DgQFVaLieGZIq9LIOckpJi93b9+/dXyxRbbo0bN+ZjRERE5CIt+jZDWFQodHrrQZRc3n1oR+j1TB9Q7vPKSikiIneQasyda/7GH9+sx5l/LyIyXzha9WqE5j3qIzg0iA+KB3i0RT1sPXwamw6eUPVA5vpZg16nGqBP7n8fwoJvrk7ia2S5YmM2lizObf/8849aveezzz5Tq+Tu27dPNeGMj4/H5MmT7d62Q4cOqveBWVAQ/56IiHzJtYsxWPLln9j823Y1Vaxq40ro8nQ7lK1Ryt1DI5llFB6C1394Ea93fQeayQRjmin9hJ5EDXVb34VeL97nl8fK3fGVP2BSiojIAcY0I94dMgNrFmyD3qBXS+TKWaPd6w7ip+nL8M6CF5CvsP+VNHuawAADPnyyGxZs2oe563bh+MVrCA4MQNvaFVXCqmKxrFd8pZyRxJJsZuXKlVN9iqSRZ1ZJKVn1tkiRIjz0REQ+aP/GgxjV8W0kxSdDM9384H5s7wks+nQpnpn6OLo/29HdQyQA9dvVwsfbJmL+lEVY8+MmpCSmoETlYuj2TEd0GtQaAYFMHZBz8JlFROSAeR/8gbULt6mvJSElzIHVmaMXMf6JLzB50QgeSw8QaDCgz9211OZPPLHRuSw+ki9fviz3k1VkChUqhDx58qgGnuPGjVPfExGRd4u7Ho9XO4/PkJAS5kqcj4Z9jTI1SqJ2yxpuHCWZSeXaiK+fURt5bnzlazgplIgoC6kpaVj42UrYeq+RJNX+zUdwZM9/S7YSuaO83NFNxMbGZtiSk5NzdTz//vsvPvzwQwwePNjufh07dsR3332HlStX4r333sPWrVvRqlWrXB8PERG53vLZa5AQm5ghIWVJH6DH/Pd/c/m4iJwVX1H28cgREWXhxD9nceNavP0XU70Ou9b+w2NJXqNkyZKIjo5O3yZMmGB1vzFjxtzWiDzztm3bzSpCs7Nnz6qpfL1798YTTzxhdxwPPPAAOnfujBo1aqBLly5YsmQJDh06hMWLF+fq70tERK6348+90Oz02jGlmbB9xR6XjomIPAun7xERZcFk4+xeBjqdY/sROYlR06nNkf3EqVOnEBUVlaGvkzVDhw5F37597d5nmTJlMiSkWrZsiSZNmuDzzz9HdhUtWhSlS5fG4cOHs31bIiLyLKrlQRbhka0qKiJvjK8o+5iUIiLKQqlKRRESHqz6IdgLuqo1LM9jSV5DElKWSSlbChQooDZHnDlzRiWk6tWrp1bTy8nS0VeuXFEJM0lOERGRd6vetDK2/rHT9vQ9g17tQ0T+i9P3iIiyEBIWhE6P3aNW27P6QmrQo0zV4qjeiEkpch9ZrtjRzRmkQqpFixZqWqCstnfp0iWcP39ebZaqVKmCBQsWqK/j4uIwYsQIbNq0CcePH1cNz2UKnyTBevTo4ZRxEhGR63Qc2Ormqm062yf1eg7rzIeEPJa74yt/wEopIiIHPPpyVxzZfRJ7NhxSySnzGT/5Ojp/BF6b8aTqrUPkLiZNr7as93PONIlly5bhyJEjaitRokSG6zSLn3nw4EG1Kp8wGAzYu3cvZs+ejevXr6vqKKm0mjdvHiIjI50yTiIicp28hfPg9R+G481ek9V7gXnVPWlwLv2kHhjZDU27NeBDQh7L3fGVP2BSiojIAcGhQXj7h+ewev5fWDxzLc4dv4TIPOFo3acxOvW/VyWmiPxZ//791ZYVywRVaGgoli5d6uSRERGROzXpUh+f7X4PCz9cgk2/blWrGldtXBHdh3ZEvba1+OAQ+TkmpYiIHBQYFIC2DzZVG5GncbR03JhVx1kiIqJcVqpKcTz30RNqI/ImjK+cj0kpIiIiH2BycOWXmxMniIiIiIjxlfuxGxcREREREREREbkcK6WIiIisSE3ZjqS4GUhN2SQt7REY3ByhEY8jILC6Rx4vE/Rqc2Q/IiIiImdIuJGIP75aiT9mrMS1CzEoWCIfOj7RBu0ea47g0GCvO+iMr5yPSSkiIqJMEuO+QkLs6Ftvk2nqspTEn5CS+CMi8kxBcFgvHjMiIiIiC9cuXMcL976Bs0fOQ5MelhoQcykG0575Aos/X47JK8cgIk84jxllwNOlREREFlJTdtxKSCE9IXWTUZ0vi7s+HMa0fz3umBk1vcMbERERUW6b1H86zh+7cHOl3VvrqqhFdzXg2N6TmP7sV1530BlfOR8jUyKiW4xGE4xpknggfyZT9gCDnT10SIqfBU9jgs7hjYiIKLdIAiI1JfVmIoL81unD57Bt6W4Y06wvqWIymrBq3gZVTeVNGF85H6fvEZHf2/zHbvz00TLs33xYnc2pVKc0egxuixY9G0Cn4wd4f5OasvlWVZQtRqQmS58pIiIi/3X9Ugx+nLwIS75cgRvX4hEaGYL2j7VE7/91RaGSBdw9PHKxvzcdynIfU5oJB7f+i8b31XPJmMg7MClFRH7t+/d/x8xxC6E36G6WFwM4vPskJj71Jf7ZdhSDxz/AxJSf0UFnrjj3qkJjR6fmcfoeERHdqUunr2BYs1dx5ew1VQEjEm8k4ddPl+LPOeswdf3bKFWlOA+0H9Hpdbm6n6dgfOV8nhdVExG5yOHdJ1RCSpiM/6UhNNPNr3/5YiW2r9zPx8PPBAa3yGL6ngGBIc1dOCIiIiLP8sGQL3D13H8JKctKmPiYBLzTb5rbxkbuUfPeqlmeyA0ICkDVxhVdNibyDkxKEZHfWjxjDQwBtl8G9QY9fv1ylUvHRO4XEjHgZkdOqyTY0iMk7FF4GiP0Dm9EREQ5dfHkJWxZvN1u76DD24/i0HbPWxSEnKdQqYK45/5GKn62VSHV4fFWiMoX6VUPA+Mr52NkSkR+69DO4zYDKnNQdWjXCZeOidwvILAqIvJMvVUtZVkxJV8HIDLf5zAElICnMWk6hzciIqKcklXUHJjnjn93HedB9jPDvxiMinXLqa/1t6bpmZNUtVtUx+D3PO+kXlYYXzkfe0oRkd8KCgnMlX3I9wSH9URAUB0kxc9GavJGVSElU/ZCwvp5ZEKKiIjIVQKDHYuNgkKCnD4W8izh0eF4f92bWDd/C5bNXIUr566hcOmCqkKqSdf6MBjstUcgf8WkFBH5raad6+DgzuPpPaQykzM7zTrXcfm4yDMYAsoiPHo0vIXJwal5sh8REVFOVWtaGWGRoUi4kWhzH0OAAXXb1uRB9kOBQYFo9eDdavMFjK+cj5EpEfmt9g83Q3hkaHp5ceZ57wGBBnR9oqVbxkZERETkiULCgtFreJebbRatkBiq4xOtkLdQtKuHRkReiEkpIvJb0fkjMf6n5xGRJ1x9L8kptUytDggJDcLYOUNRtExBdw+TyCEmTe/wRkREdCceeq0nOg5srb6WRWNk1TXz4jFNuzXA0+/LoiFE3o/xlfNx+h4R+bVKdcpg9s4JWPXzX9i97iA0kwnVGlVAmwcaIzwqzN3DI3KYETq1ObIfERHRnZDeQMM/H4xuz3TA0hmrcPnMFeQpGI02jzZH1UYVVZKKyBcwvnI+JqWIyO+FhAejY7971EZEREREjilfqwyGTGVVFBHlHJNSREREPsDRqXmcvkdERETE+MpTMCnlBompqfh5zwH8sHMvzt24gfzhYehVszr61L4LkSHB7hgSERF5OaODU/NkPyJvdWTnMSyY9ju2LdulVk69656q6PFcJ9S4u6q7h0ZERD6I8ZXzMSnlYrFJSej33U/458Il9b0sRH89MQmTVq3DnB17MKdfHxSOjHD1sIiIiIg82vLZa/DugI+gN+hgTDOpyzYs/Atrf9qMJ999FL1f7OLuIRIREVE2cQkeF3tr2WocunhZJaNkM9M04GxMLEYu+sPVQyIiIh/A1WHIl50+dBaTH/8ImqalJ6SE+evP/zcb+zb848YREhGRL2J85XxMSrnQlfgE/Lb/HxglA2WFXL7p+Cn8e/mqK4dFRERE5NEWfbIMsLOalyxFv3D6EpeOiYiIiO4cp++50N5zF2wmpCztPHMW5Qvkc8mYiIjINxg1vdoc2Y/I2+xesx8m438VUplJxdSeNQdcOiYiIvJ9jK+cj0kpFzLos25AK/R2zgQSERFZo0EHkwONzmU/Im9jCDBkuY/ewIQrERHlLsZXzsd3bxeqVawIggz2gyr5qNCodEmXjYmIiIjI09VvV8tu0kmm7zVoX9ulYyIiIsqptWvXokuXLihWrBh0Oh0WLlxod//+/fur/TJv1atXT99n5syZVvdJSkry6AeKSSkXigoJwQN17rJZCSWXt6tcAcWjo1w5LCIi8qHyckc2Im/T+am2CAg0qODaGpNJQ4/nOrl8XERE5NucFV/Fx8ejVq1amD59ukP7f/DBBzh37lz6durUKeTLlw+9e/fOsF9UVFSG/WQLCQmBJ+P0PRcb2eoeHLt6DeuPnoBBp1M9piQZZdI01ChSCOM7t3P1kIiIiIg8WqGSBTDm5/9hTM93kZZqTO8vZa6eemnWUJSrWdrNoyQiInJMx44d1eao6OhotZlJZdW1a9cwYMCADPvJyZsiRYrAmzAp5WLBAQH4ok93rPn3GH7ctQ9nYm6gYEQYetasrqqkArOY3kdERGSNSZMTHFn3i3JkHyJP1KBDHcw6/CF++2w5ti3bDc2koea91dDl6XYoVt67AnAiIvLN+Co2NjbD5cHBwWrLbV999RXatGmD0qUznpCJi4tTlxmNRtSuXRtvvfUW6tSpA0/GpJQbGPR6tKpYXm1ERES5wQi92hzZj8hbFSieH/3f7Ks2IiIiT4uvSpbM2B969OjRGDNmTK6O6dy5c1iyZAnmzJmT4fIqVaqovlJ33XWXSo7JlL9mzZph9+7dqFixIjwVk1JERERERERERHdIej1JXyczZ1RJzZw5E3ny5EH37t0zXN64cWO1mUlCqm7duvjwww8xbdo0eCompYjuwP5r5zD36Dbsu34WwfoAtClWBb3K1EHe4DAeVyJyKU7fIyJvkRiXiBXfrsOq79cj7lo8SlUprprZ125Zw2YzeyIib4ivJCFlmZTKbZqm4euvv0a/fv0QFBRkd1+9Xo8GDRrg8OHD8GRMShHl0Kf/rMPUA6tg0MlqCzcbru65dhZfHNqAr+9+BDXyFuOxJSIiIrJw4cQlvNhytPpXPsJpGnDi79NY8+MmdHi8JV74fLD6IEVERLdbs2YNjhw5goEDB8KRBNauXbvUdD5Pxld8ohxYee6gSkgJc0JKaNAQl5aMQRvmIDEtlceWiFzGBL3DGxGRO8gHpDe6T8Tl01ckaFIJKfX6lXYzlvrj61VY8MHvfHCIyOfjK2lILgmjXbt2qe+PHTumvj558qT6ftSoUXj00UetNjhv1KgRatSocdt1Y8eOxdKlS3H06FF1X5K4kn8HDx4MT8bIlCgHvjq0CXp1fu92Jk3DtZQELD69j8eWiFzGqOkc3oiI3GHP2gM4uvsEjLeSUNb8NGWRWjWKiMiX46tt27apVfHq3FoZb/jw4errN954I72ZuTlBZRYTE4P58+fbrJK6fv06nnzySVStWhXt2rXDmTNnsHbtWjRs2BCejNP3iLJJKqN2XDkpJ/hskoTV5kvHVH8pIiIiIgJ2rdwHQ4ABxjTbSafLZ67i3NGLKFGxKA8ZEfmsFi1aqOpRe83MM4uOjkZCQoLN27z//vtq8zZMShFlk7x22EtIWVZMERG5ChudE5Gn00yOxUaayXYlFRGRKzG+cj5O3yPKpgC9HtXzFLU5fc/cW6pu/pLZut+U5FQkJ6bw8SAiIiKfVL1ZZbtVUiKqQCSKlivs8H2aTCa1mh+n/BEReSdWShHlQP+KjfG/rQusXqeDDqEBgehWqqZD97Xpt+34YfKv2L/hoPpelkXuOayTWoGGq88QkaM0TQ+TpndoPyIid6jXrhaKlS+M88cvwWS8vRpKp9Oh+9COCAjM+iPK9Usx+GHSL/j9yz8RH5OAwOAAtHroHvR9uQen/hFRrmF85XyMTIly4L4SNfBIuQbqa4Puv4op+TpIb8DHjR9AZGBIlvcjyajRPd7F35sPp1926uAZTH36C0we+Kk6+0dE5AgjdA5vzlKmTBn1odJye/nll+3eRvopjBkzBsWKFUNoaKjqsbB//36njZGI3EdOto1d+BIi8oRDb/jvY4j564ad6+LBUT2yvJ/LZ69iaMNRmD91sUpIidTkNKz4Zg2G1B+JwzuOOvG3ICJ/4gnxla9jUoooB+SD1qu1OuDzpg+iWaHyyB8cjmJh0XikfEMsajMYjQuVzfI+ju07hS9HzVFfW54tNLeiWvHtWqybv4WPDxF5lTfffFOtGGPeXnvtNbv7T5o0CVOmTMH06dOxdetWFClSBG3btsWNGzdcNmYicp0y1Uviy31T8MhrvVCsQhHkKRSNak0rY9S3z2Hsgv85VCX18bAZuHT6ym3VVrKqX3JCCsY/NNVuA2EiIvIcnL5HdAeJqXuLVFRbTvz+xQoYAvQ2l0WWs4a/fLwUzXs34WNERFmS/sHSjNOR/ZwpMjJSJZYcIR8ap06dildffRU9e/ZUl82aNQuFCxfGnDlz8NRTTzl3sETkFnkL50G/0b3Vll1Xz1/D+gVbbDZNl0TV6UPnsGftAdRqXj0XRktE/sxT4itfxkopIjc5vOOYzYSUOag6uueES8dERN5L+kk5uonY2NgMW3Jycq6MY+LEicifPz9q166NcePGISXF9gIOx44dw/nz59GuXbv0y4KDg9G8eXNs3LgxV8ZDRL7lxIHTWa7ip9PrcGzPSZeNiYh8V3bjK8o+VkoRuUlweBCkHZW96vLA4EBXDomI/EjJkhlXCB09erTq7XQnhg0bhrp16yJv3rz466+/MGrUKJV4+vLLL63uLwkpIZVRluT7EyeYlCei2wWHBmV5WCRpFRTCGIqIyBswKUXkJs26NsDOlftsXi9T++7p2cilYyIi72WCTm2O7CdOnTqFqKioDBVK1kiiauzYsXbvU3pB1a9fHy+88EL6ZTVr1lTJqV69eqVXT9mbDp15Wl/my4iIRKX65RFdIBIxl2/YrZRq2KkODxgRuTy+yor0w4u7FoeCJQuoRR+ISSkit2n9yD34bvzPKqjK3KhTginpKdV9aAe3jY+IfJskpCyTUrYMHToUffv2VV+bTAmIjfsacYm/QtMS1WUGfTGUKrsPmlbvtkRS48aN1b9HjhyxmpQy956SiqmiRYumX37x4sXbqqeIiIQ0Qn9wVE98+uIsqwdEYqi2jzZHgeK2E+FERK62Y8UezHz9e/y95eaq64YAA5r3aYKB4x9CoVIF/foB4cRHIjcJjwrDpGWvI1+RPOmVUWpJZB0QEhaMNxeORKkqxfn4EJFDjJrO4S07ChQogCpVqqBSpVKIyv8KChVbgHLlU1G+QoDaypS7hLjEUbgWO+m22+7cuVP9a5lwslS2bFmVmFq+fHn6ZdKDas2aNWjatCkfeSKyqufzndFnRNcM8ZN8wBNNutbHsI8H8cgRkcfEV2t/2oSX27+Nf7Ye+e9+04xY/cNGPNNwFC6cuOTXjxan7xG5UelqJTDr0DSs/3kLti/fo16cqjaqqKqoJGlFROQoR5ts5rQRZ2z8TKSk7lUF6hndbIy3cvUkHDscg7Zt+iA6OlpN6ZPpfF27dkWpUqXS95YE14QJE9CjRw9VWfX8889j/PjxqFixotrk67CwMDz00EM5GicR+T557Rg0qR86PtEaS2eswoWTlxCdP0rFT1Ua5mxVZCIiZ8RXyYnJmDLoU2gSL2UKoUxpJsReuYEvXv4Wr839rwWCv2FSisjNAoMC0LJvM7UREXmq2LiZVhJS/wkKMmDevNkY9/bHaiW/0qVLY9CgQRg5cmSG/Q4ePIiYmJj07+X6xMREDBkyBNeuXUOjRo2wbNkyREZGOvX3ISLvV6JSMQyc8LC7h0FEZNP6n/9CfEyCzetNRhPWz9+sklNR+f0z9mFSioiIyFcacWq514gzc+PxNOMpu/vUuMuA35a0QZECM7O8r8wVD9JM/U5X/iMiIiLytPjqzOFzMAQaYEw12rytMc2Eiycv+21Sij2liIiIyC5JHOl0WU0pNkCv989gioiIiMia8Oiw2xa1srWfv2JSioiIyAdot5YszmqT/exJSU7F/p0nsPuvo4i5Fp9+eURYD5V4ss2I8NCbjYeJiIiI/DG+2rV6Pw7vOJpeGX7P/Y3M7TdtrhhavlZpFC3nv6sOc/oeERGRD5DScofKy23sYzSaMO/LNfh51nrE3UhKX9WqeYe7MPil+xAd8TTiEn6GpiVb6S1lQFBgDYSFtMqV34WIiIjIG+Or0d0mIkAXiKLlC2Pg+IfRvHcTdBzUGku++PO2FgZC0zT0f+tB+DNWShERERE+GLsQs6evSE9ImXscrF6yByMe+xypycVRtMA8GPQFLM5r3aycCglqhKIF5kCns1dJRUREROQfzh29gLcfmII/ZqzCsx8ORIeBrSDFVHqDHgGBBvV1SHgwRs4cisb31YM/Y6UUERGRny9ZfHDvKSxbsN36/kYNp45fxqLvt6DvE81Rquh2JCQtQ3LKXuh0gQgLaYPgoJq58jsQERER+UR8daso6uNhX6N5nyYY/vlgPPRKT6z7aTNuXItDsQpF0bx3Y4RGhMLfMSlFRETk55Yu2A6DQa+m8FmjmTT8/sNfKiml0wUgPLST2oiIiIjItsS4JGxY8BfaPHIvipQphN4j2H8zMyaliIiI/Lyn1IWz120mpMwuX4i5o/ERERER+VvPTkOAARdOXHLCyHyH1/SUKlOmzK0lqf/bXn75Zbu3kaZhY8aMQbFixRAaGooWLVpg//79LhszERGRqziyMox5yyw6bzj0BvsBV0QUy8u9FWMoIiIi18dX6vZGE6ILRPHw+0JSSrz55ps4d+5c+vbaa6/Z3X/SpEmYMmUKpk+fjq1bt6JIkSJo27Ytbty44bIxExERebpWnWup3lG2SMKqbfe6Lh0T5S7GUERERK4nKxnfc38jHnpfSUpFRkaqxJJ5i4iIsFslNXXqVLz66qvo2bMnatSogVmzZiEhIQFz5sxx6biJiIhcVV7uyJZZ3aYVcFf9stDrb79OVomJiAxFj0ea8kH0YoyhiIiIXBtfiQdGdmellC8lpSZOnIj8+fOjdu3aGDduHFJSUmzue+zYMZw/fx7t2rVLvyw4OBjNmzfHxo0bXTRiIiIizw+a9Ho9xk7vh7vbVldLFAvdrX9Lly+EybMGoUDhaD6UXowxFBERkfPjK92tE3yBIYHo90ZvPDq2Dw+7rzQ6HzZsGOrWrYu8efPir7/+wqhRo1Ti6csvv7S6vySkROHChTNcLt+fOHHC5s9JTk5Wm1lsbGyu/Q5ERESeKiw8GK9MfhCPn7mG7RsOIy3ViIrVi6NqrZKqjyN5L8ZQRERErvH4+IdQuFghNOlSHxF5wnnYPT0pJU3Ix44da3cf6QVVv359vPDCC+mX1axZUyWnevXqlX7mz5bMgbRM67MXXE+YMCHLMREREfna6jBmRYrnRec+DXNxZOQMjKGIiIg8L77q+nR7REWxsbnXJKWGDh2Kvn37ZrlijDWNGzdW/x45csRqUkp6TpkrpooWLZp++cWLF2+rnrIkFVjDhw/PUClVsmRJB34bIiIiItdgDEVERES+wK1JqQIFCqgtJ3bu3Kn+tUw4WSpbtqxKTC1fvhx16tRRl0kPqjVr1qjqKluk75RsRERE/lgpRd6BMRQREZHzMb5yPq9odL5p0ya8//772LVrl+oj9cMPP+Cpp55C165dUapUqfT9qlSpggULFqivZYre888/j/Hjx6vL9u3bh/79+yMsLAwPPfSQG38bIiKi3KdJ4ARdlpvsR/6DMRQREVHOMb5yPq9odC6VS/PmzVO9nqQJeenSpTFo0CCMHDkyw34HDx5ETExM+vdyfWJiIoYMGYJr166hUaNGWLZsmVoWmYiIiMjXMYYiIiIiT6bTpPM32SQ9paKjo1Wyiw3LiIjIU9+nWi0ejIDwrKefp8UnY2XnT/m+loNjzFggZ89NHjciIvI2jK9cFwd4xfQ9IiIib6JpKUhLO460tNNq1VciIiIiytr1SzE4fegsEm4k8nD5Ca+YvkdEROQNNC0JsTc+QFzcTJi06+qygIByiIp4DmFhfVS/Q2dhI04iIiLyVvs2/INZo+dh18p96vuAQANaPng3+r/VF4VK5mxxtNzA+Mr5mJQiIiLKBZqWjEuXH0JyyhbVctwsLe0Yrl5/HmnG44iOeslpx5pBExEREXmjLb/vwOjuE2FZXJ6WasTKOeuw9Y9dmL5lAgqXLuiWsTG+cj5O3yMiIsoFcfFzkJyyOUNC6qabEVbsjalISf2Hx5qIiIjolrTUNLw74COYjBpMxowxlDHNhNgrN/Dpi7N4vHwYk1JERES5IC5+ZhZ7GBAf/63Tz+Q5shERERF5gs2/bUfMpVibPTglUbVh4V+4djHG5WNTP5/xldMxKUVERJQLZJqeuSrKOiNS047wWBMRERHdcvrgWRgC7KclNJOGc0cv+NQxW7t2Lbp06YJixYqpnqMLFy60u//q1avVfpm3f/7JWIU/f/58VKtWDcHBwerfBQsWwNMxKUVERJQLdLqwLN9y9Xrby+HeKU3TObwREREReYLQyFA1dS8r4VGhcAdnxVfx8fGoVasWpk+fnq3bHTx4EOfOnUvfKlasmH7dpk2b8MADD6Bfv37YvXu3+rdPnz7YskX6nXouNjonv3D5zBXMf38xls1ejbhr8ShQPB/ue6oduj7THuFRWX2QJCLKWlhY91vT84w29jAhLLSL0w6lCTq1ObIfEZEjZDrNuvmb8fMHi3HwryPQGfRo0L42eg3vgrvuqcqDSER3rFn3Bvho2Nc2i81l4eLiFYuiVNUSbjnazoqvOnbsqLbsKlSoEPLkyWP1uqlTp6Jt27YYNWqU+l7+XbNmjbp87ty58FSslCKfd+Lv03iy1ggVUMVevqHmJV88eRkzXp+L55q8gtirN9w9RCLyAZERT0KnC7Lx1mpAQEAlhIZ0cMPIiIhylpD6+PkZeKvPFPy96ZBaCSs1KRWbF2/H8BZv4PcvVvCwEtEdK1A8Pzo/2UZNRbP+WgQ8NvYBm9d7mtjY2AxbcnJyrt5/nTp1ULRoUbRu3RqrVq3KcJ1USrVr1y7DZe3bt8fGjRvhyZiUIp8PqMb1fR/xMQm3reYgc5NPHzqHT4dzNQciunOBAeVQMP886PX5LIqRbxYkBwbWQKECP0CnC3TaoWYjTiLKTZsWbcPCD5fcfH0x/VfCYEozqYqGqU9/jjNHzvGgE9Ede+aDx9Gufwv1td6gR0CgQSWhAoMD8NxHT6DFA83cdpSzG1+VLFkS0dHR6duECRNyZRxFixbF559/rnpG/fzzz6hcubJKTElvKrPz58+jcOHCGW4n38vlnozT98inHdh0CMf2nrR5vSSqVs5Zj6cmP4roAs7r9UJE/iE4uAGKFdmOxKSlSEnZKekohIa0RlBQA685w0dEJBZM+119OMx8Us9MXtN++3S5iqGIiO5EQGAARnw1BA+90hOr521E7JUbKFquMFo9dDci80Z41cE9deoUoqL++1wpDcdzQ+XKldVm1qRJE/WzJk+ejHvvvTf98szxphRpeHoMyqQU+bRD2/6FTq9TVVG2GNOMOL7vFGq1qO7SsRGRb5IpfNI7ypn9o6xxtMkmG50TkSMObf3XZkJKyHX//HWYB5OIck2x8kVUYsqTZDe+koSUZVLKmRo3boxvv5V+pjcVKVLktqqoixcv3lY95Wk4fY98WkBQgMoOO7IfEZE34/Q9IspNAUGGLPeRqTVERL7Mk+OrnTt3qml9ltVTy5cvz7DPsmXL0LRpU3gyvpOQT6vfvlaW+0TmDUfFeuVcMh4iIiIib9D4vvr487u1MEoPKStkOkjjzvVdPi4iIl8QFxeHI0eOpH9/7Ngx7Nq1C/ny5UOpUqXUynlnzpzB7Nmz1fWygl6ZMmVQvXp1pKSkqAop6S8lm9mwYcPUVL6JEyeiW7du+OWXX7BixQqsX78enoyVUuTTipYtjHvub6x6IlilA+4f3gVBwc5rPkxE5Mryckc2IqKs9Hy+880vrLxk6A06ROQJQ9vHmvNAEpFPc1Z8tW3bNrWSXp06ddT3w4cPV1+/8cYb6vtz587h5Mn/eiNLImrEiBGoWbMm7rnnHpVoWrx4MXr2/G+6o1REff/995gxY4bab+bMmZg3bx4aNWoET8ZKKfJ50jTv+sUY7F37d3rDTkOAXp356/B4Kzw4qoe7h0hEdMc0B0vHmZQiIkeUr1UGr859AeMfmqpiJ1mBT3rlSlOE8OhwTPjjNa9rQExE5CnxVYsWLey2mZk5c2aG70eOHKm2rPTq1Utt3oRJKfJ5YZGhmLxyDLYv36PK0GMuxaJw6ULoOLAVKjeo4O7hETmNZjwLJC6EZjwH6PNBF9oVuoDyPOJEROQQqTb/9vgn+OOrlTiw+SAMAQbUb1cbrR+5B+FRYTyK5JNkEaQty/Zg19p/VEK2aoPyuKdrPQSFcGYFkTMwKUV+Qa/Xo0H72moj8nVy1kWL+wCI/+TWvAuZvqpBi/8EWmhv6KLGQqfjy7+vkXNtDqzroPYjInJU/qJ58fBr9/OAkV84dfg8Xu87DedPXFYzK8RvM9bg89d/wJjvhqJqffah9TeMr5yPPaWIiHxNwiwg/uNbb6PSoDZNzvvdvC7xJ2g33nX3CImIiIg8SvyNRLzU/T1cPH1VfS+tPsyN/m9ci8cr97+Pi6evuHmURL6HSSkiIh+iaSnQ4j62tweQ8C000zUXjopcwQSdwxsRERFltOL7Tbh6MUZN2bvtPdakITkpFYu+Ws3D5mcYXzkfk1JERL4kdTegXc9qJyB5rYsGRK7C1feIiIhybv2v2+1eL8mqNQu28hD7GcZXzsekFBGRL9ESHNwv0dkjIT+zevVq6HQ6q9vWrbaD+P79+9+2f+PGjV06diIiooS4pCwbLyYlJPNAEeUydrolIvIlBgdX1wvgypO+RpYr1jmwHLEjyxrnRNOmTXHu3LkMl73++utYsWIF6tevb/e2HTp0wIwZM9K/DwoKcsoYiYiIbClbvQSO/30mvY9UZnqDDmWqFucB9DPujq/8AZNSREQ+RBdQAlpQMyBl83/NzTPQA4YyQGA9N4yOfJkkkooUKZL+fWpqKn799VcMHTpUVT/ZExwcnOG2RERErnbfgOaqr5QtJqOGLgNbunRMRP6ASSki8kqapmHfxsPYvnKfOqNVqW4ZNOlUGwGBfFnTRY2FdrUPYIrJlJgySOoAujyTskwSkPfRtJubI/uJ2NjY2xJDsuUWSUhdvnxZTc9zZOpfoUKFkCdPHjRv3hzjxo1T3xMRUe6LvXoDK+esx4XjlxCZLwIt+zZD0XKF/f5QV6lXDn2e64Afpv0BnV4HzXTrDfNWyNSiRwM0u6+O3x8nf5Pd+Iqyj5/eiMjrXDl3HWMe+hCHd52AIUAP6HQwphqRt3A0Rn/7DKrULwd/pgsoBeRfAC3uIyBxIYCUmwmpkA7QRTwDHafu+XQjTkf2EyVLlsxw+ejRozFmzJhcG89XX32F9u3b3/ZzMuvYsSN69+6N0qVL49ixY2rKX6tWrbB9+/ZcTZIRERGwcPoSfDZitoqbJIaSVeVmvD4XnQa1wbMfDvT7k3sDXu+BUlWK4qcPl+L432fVU6ZwifzoOaQt7nu8BfR6tmT2N9mNryj7mJQiIq+SkpyKl7pNxrmjF9X3lvP+Yy7H4uVu7+GTDWNQtExB+DOdoSh00W9Di3oDMF0H9JHQ6ULdPSzyIKdOnUJUVFT697YSQJKoGjt2rN37kkbmln2jTp8+jaVLl+KHH37IchwPPPBA+tc1atRQ9yMJqsWLF6Nnz54O/jZERJSVP79bh4+e+zr9+7TU/6qpl3zxJwKDAjB02kC/PpBSSd6mTxO07t0YN67FqxX3ogtIDMWEA5GzMClFRF5lw687cPrweZtz/SVptfDTFXj6nQddPjZPpNMFAQZOg/IH2T2TJwkpy6SULdITqm/fvnb3KVOmTIbvpWl5/vz50bVrV2RX0aJFVVLq8OHD2b4tERFZZzKZMPON7+22RVj06TI89EpP5CuS1+8PoyShovJF+P1xIFZKuQKTUkTkVdYu3Jpxnn8mckZr9U9bmJQiyiUFChRQm6Pkg40kpR599FEEBgZm++dduXJFVXFJcoqIiHLHsb0ncf7YzSpzWySG2vTrNnR+si0POxG5DCfFEpFXiY9NtJmQMkuMT3bZeIg8hSxF7OjmTCtXrlS9oQYOtD4FpEqVKliwYIH6Oi4uDiNGjMCmTZtw/Phx1fC8S5cuKgnWo0cPp46TiMifJN5IzHIf6ZeUEJv1fkT+xFPiK1/GpBQReZVSlYrCYNDbLbcuXp4ryJD/rg7jyOZM0uC8adOmqFq1qtXrDx48iJgYWRkSMBgM2Lt3L7p164ZKlSrhscceU/9KkioyMtK5AyUi8iNFyxfJsi+SVEqVqFzMZWMi8gaeEl/5Mk7fIyKv0rH/vfjt69U2r9eg4b6BLV06JiL6z5w5c7Kc3mcWGhqqGqITEZFz5S+aF43vq4ctv+9QyafMJGGVp3A0Gnasw4eCiFyKlVJE5FXK31UKfZ7vePObTCf8pNdUrXuqoN3DzdwyNiJ3unmWTufAxseJiMgfPT21PyLzRsAQkPEjoN6gV9vImUNhCDC4bXxEnojxlfMxKUVEXmfAGz3xwof9Uazsf6vKyQopD424D2/9MEwtaUxE/kOqrywrsIiI6HZFyxbGR1vfQcsH70ZA4H/Jp9otq2PKmrGo364WDxuRn9E8IH7iJzci8jpSYt7+kbtVRdSl01eRlmZEoRL5EBDIlzTyX+ZKKEf28xXGlK1Ii/scpuQ18h10gdUREDYAhtDuWfZOISLyR4VLF8RLs57F0A8H4tr564jIG448BaPdPSwij+WL8VXCjUQsnP4Hfvt0OS6dvoLwqFC0fuRe9H7xPhQp899Jf1fhJzgi8lryobNQyfzuHgaRR5DzXI6c63L/+bDckZbwA1JjXr5V9G1Ul2mp+5EaMxymlE0IjJ7IxBQRkQ3hUWFqIyL/iq9uXIvD8BZjcOLA6fQVzWV188WfL8ef363F5JVjUKF2GZeOidP3iIiIyKuY0k4jNWbUrRDQaHmN+r8x8UcYkxa5bXxEREREnuiLl77Dyb/PpCekzIxpJiTGJeOtPlNgMt2+GIIzMSlFRETkAxxrcu5YCbqnMybMvX2lgwz0SIuf6cIRERERkS/ypfgq7no8Vny71uoKnEIuP/vvBexatd+l42JSioiIyJfqyx3ZvJwpdW+mCqnb9lBT+YiIiIjuiA/FVyf/OYPU5DS7+8hKnId3HHXZmNTPdOlPIyIiIrpTuqAsKqXk6kAeZyIiIqJbHFmhXFbjCwx2bQzFpBQREZEvcLS03AvKy7NiCG6ZxSlJA/TBrV04IiIiIvJJPhRflatZGnkL219tU3pNNexQG67EpBQRERF5FUNoN0AvK28arFwrQaGGwPCBbhgZERERkWcyBBjwwMhudqfuNelSDyUqFXPpuJiUIiIi8gGa5vjm7XT6CATn+xbQ5zVfYhHWBCAwzwfQB9V04wiJiIjIF/hafNVzWCe1CUOAPsO/1ZpUwkuzhrp8TFlPKiQi8lKpaacRE/8tEpJWQ4MRYcGNER3+GIICK7h7aES5ztGVX7xhdRhH6AOrIKTQWhgTF8GYvBrQUqEPrImAsL7QGQq6e3hERF7LaDRi86Lt+OPrlTh//CLyFs6Ddo+1wL29myDIxb1miNzN1+IrnU6Hp6c8hvb9W2DJ16tw7ugFROWLQMsHm6Fe25rQ611ft8SkFBH5pPjElTh35XGVjDKv0pWS+g+ux81A4bzvISr8AXcPkYjukE4XioCwPmojIqI7l5KUgtHdJ2Hbst1qKo8sEX/ywGns/HMv5r//GyYufx1R+SJ5qIm8XLmapfHM1P7wBJy+R0Q+JzXt7K2EVGqmZePlaxMuXBuOpJQ9bhwhkROYm2w6shEREVnxxUvfYvuKmzGSJKTUv6ab85KO7jmByY9/zONG/oXxldMxKUVEPic2/ltoSLOzOpce1+O+cvGoiIiIiDxXfEw8Fn+xQq2+ZY0kqTYt2qam+xAR5RYmpYjI58Qnr1UVUbYZkZC0xoUjInI+X2vESURErnVw679ITZIqczs0YPfq/a4aEpHbMb5yPvaUIiLfo1lO2bPFXtKKyAtJssmRhBOTUkREZIV5ml5u7UfkExhfOR0rpYjI54QGN5HFTe3sYbi1DxERERGJSvXKISDQXvx0U/VmlXnAiCjXMClFRD4nOuLRLPYwIk/EQBeNhsi1SxY7shEREWUWlT8SrR+5V626Z40hQI/arWqgdNUSPHjkNxhfOR+TUkTkc4ICyqBIvmm3qqUsz/jd/LpA9BsIDW7otvEREREReaKn3++PinXLqq91+lsnMXSATqdDoVIF8dLsZ907QCLyOTnqKXX8+HGsW7dO/ZuQkICCBQuiTp06aNKkCUJCQnJ/lERE2RQZ1gNBgVVwPe5rJCSthKYZ1ZQ9qZAKDa7P40m+iW0+PB5jKCLyZOFRYZiy5k2s+GatWonv4snLyFsoGu0HtESHga3U9UR+h/GV5ySl5syZg2nTpuGvv/5CoUKFULx4cYSGhuLq1av4999/VULq4YcfxksvvYTSpUs7b9RERA4IDqyKwnnf5bEiv+Do1DxO33MPxlBE5C2CQoLQaVAbtRH5O2fFV2vXrsW7776L7du349y5c1iwYAG6d+9uc/+ff/4Zn3zyCXbt2oXk5GRUr14dY8aMQfv27dP3mTlzJgYMGHDbbRMTEz26eMjh6Xt169bFlClT8Mgjj6izfOfPn1cHcP369Thw4ABiY2Pxyy+/wGQyoX79+vjxxx+dO3IiIiIiL8AYioiIiCzFx8ejVq1amD59usNJrLZt2+L3339XeZiWLVuiS5cu2LlzZ4b9oqKiVJLLcvPkhFS2KqXeeustdO7c2eb1wcHBaNGihdrefvttHDt2LLfGSERERFnhksUeizEUERGRl3JSfNWxY0e1OWrq1KkZvh8/frwqClq0aJFqpWQm/d+KFCkCb+JwUspeQiqzAgUKqI1cQzOeg5b4I7TUg4AuBLqQttAFt4ZOF8iHgIjIb0jZuCOl41x9z9UYQ3kmo9GErX/swvoFfyHhRhJKViqKDo+3RNGyhdw9NCIi8tL4SmaQZS7ekS23mUwm3LhxA/ny5ctweVxcnGqlZDQaUbt2bXVizDJp5dVJqcwH1x4pGSPXMCV8D1PsaIsUrh5a0i+AoSwM+WZBZyjGh4KIiMiNGEN5nuuXYvFK53dwZNdx6AP00Iwm6PR6zJ30C54Y/yD6vNjF3UMkIiIvVLJkyQzfjx49WvV+ym3vvfeemgLYp0+f9MuqVKmi+krdddddKvb44IMP0KxZM+zevRsVK1aE1yel8uTJo0rB7NE0Te0jWTlyPlPyBphiX8t06a1jbzwJ49UBMBT4HTqdgQ8HEZGv4/Q9j8UYyrNIvDrm/vdwdN9J9b0pzXTzcuPNf78cNRdFShfEvb0au3WcRETkffHVqVOnMhTpOKNKau7cuSrRJdP3ZAE6s8aNG6vNTBJS0tfyww8/VAvWeX1SatWqVc4dCWWbKf7TW73qbwZRGRkB47/QktdAF9KKR5eIiMhNGEN5lgObD6vNFjnBOmfCQtxzf6MsT8gSERFZkoSUM2eOzZs3DwMHDlQLy7VpY3+FTL1ejwYNGuDwYdvveV6VlGrevHm273zIkCF488032V/KCTQtGUjZlMVeAdCSVwFMShER+T5WSnksxlCeZfNvO2AIMMCYZrRZSXV070lcuxCDfEXyuHx8RETkQTwovpo7dy4ef/xx9a8j/Srl/WzXrl1qOp8nkzIbp/n222+z1UeBskFLcWQnQJJXRETk+zSd4xt5PMZQzpOakupQz9qUpFQnjoKIiPw5vpKG5JIw2rVrl/r+2LFj6uuTJ29OLR81ahQeffTR9P0lESXfSy8pmaJ3/vx5tcXExKTvM3bsWCxduhRHjx5V9yUVVfLv4MGD4bdJKcnMkZPoIgB9Vk3MTdAFVuNDQERE5GUYQzlPhVplYEy13/80Im848hfL68RREBGRP9u2bZtaFa/OrZXxhg8frr5+44031Pfnzp1LT1CJzz77DGlpaXjmmWdQtGjR9G3YsGHp+1y/fh1PPvkkqlatinbt2uHMmTNYu3YtGjZsCJ+YvkeeRXoc6MMfhenGRBu1gpKpDYIutIcbRkdERK4m54EcORfE80Xk7+7t1QgfD5+N+NgEaKbb/2j0Bj26PNkGgUEMk4mI/J2z4qsWLVrYPQE1c+bMDN+vXr06y/t8//331eZtnFopRc6lC3sUCLr7VgLKslxQVtvTQZ/nPej00XwYiIiIiG4JCgnCq3OeU32lDAEZQ2GdXofKDcrjwVHdebyIiIhcgEkpL6bTBcGQ93PoI18HDKVvXRoAXXBbGPL9CH1IBzePkIiIXN6I05GNyM/Va3MXpm98Gy36NEXArYqoQqUKYOC4vpi09FWEhOX+Et5EROSFGF85HeuSvZxOFwhd+KNqKp+mpakqKS5fTETeIj7tMi4lHYZeZ0CR0BoI0oe5e0jey9Emm2x0TqSUq1kKL80cgpEznobJaFKVU0RE3sBoNOLvzYcRe+UGipYthLJ3mQsUKNcxvvLupNQjjzyCqKgoZ/4IsqDTMcdIRN4hIe0a1l6YimNx66DdKt0J0AWjRp7uaFTwCRj4ekZ+jjGU68jJPCakiMhb/PndOnw56jtcPn0l/bKKdcti6PQnUK1xJbeOjSgncpzFkM7uf/31Fy5evAiTyZThOvPShZ988glyS5kyZXDixIkMl7300kt45513bN6mf//+mDVrVobLGjVqhM2bN+fauIi8iZZ2BFr8bCBpmSx2DQRUhS78ESC4AyvsyGWSjXFYePI5xKSeTU9IiTQtGbuu/YDY1PNoX2w0n5PZpNNubo7sR+7FGIrIu6SlGrFi0S789sMWnDlxBWHhwWjRqSa6P9QEBYuwfyu5zu9f/on3n/z0tsv/3XUcI1qOxvtr30LlBhX4kOQixlcempRatGgRHn74YcTHxyMyMjLDBwf52pyUym1vvvkmBg0alP59RERElrfp0KEDZsyYkf59UFCQU8ZG5Om05DXQrg0BIEnkW0thp26Hdn0rENITiB4PnY5t5sj59l3/BTGpZzIkpCyeqTgatwbnEvegWFgtPhzkcxhDEXmXlJQ0vDH0G+zaclR9zpHVshITUrDg241YMn8bJn75OCpWLebuYZIfSEpIxqcvZlyRzcwkK4mmmfDZ/2Zjyuo3XT42ojuRo0+gL774Ih5//HHcuHFDne27du1a+nb16lU4iyTAihQpkr45kpQKDg7OcJt8+fI5bXxEnkozxUK79pyc6/svIaXcqnJM+hlIXOCu4ZGfORDzm42E1E06GPB3zBKXjskneEAjznHjxqFp06YICwtDnjx5rO5z8uRJdOnSBeHh4ShQoACee+45pKSk2L3f5ORkPPvss2p/uV3Xrl1x+vRpeCPGUETe5fsv1mD31mPqa8vl201GDUkJKXjz+TkwGjPOGiFyho0L/0LijSSb10tvvL1r/8a5Yxf4APhYfOXrcpSUOnPmjAoiJeh0pYkTJyJ//vyoXbu2CnyzCmLF6tWrUahQIVSqVElVWcl0QyK/oxJOSXZeLXXQEqyfeSHKbQlp//VAsEaDEXGpDKhy3IjTkc1J5H25d+/eePrpp202Zu3cubOqtF6/fj2+//57zJ8/XyVq7Hn++eexYMECtb/cLi4uDvfdd5+6P2/DGIrIe6SmpmHRvC3QpArFRnXKpfMx2LrukMvHRv7n0umr0Buy/vh+5YzzikT8kgfEV74uR9P32rdvj23btqFcuXJwlWHDhqFu3brImzev6mU1atQoHDt2DF9++aXN23Ts2FEFx6VLl1b7vv7662jVqhW2b9+uKqhsnY2VzSw2NtYpvw+RK2mpu1TiyXZSSkp+D0LTUqDTcYorOVeIIVqtumeLDnqEBrCq1RuNHTtW/TtzpvUk97Jly3DgwAGcOnUKxYrdnO7y3nvvqR6QcrLJ2uIoMTEx+Oqrr/DNN9+gTZs26rJvv/0WJUuWxIoVK1RM4k0YQxF5j/NnruFGTKLdfQwBevy95xQat6jisnGRf8pTKEpVQ2W9H/uckY8mpX799df0r+Us5//+9z8VWN51110IDAzMsK+U1TtizJgx6QGsLVu3bkX9+vXxwgsvpF9Ws2ZNlZzq1atXevWUNQ888ED61zVq1FD3IwmqxYsXo2fPnlZvM2HChCzHROR9ZJnrrLL3cj17SpHzVY3uiO1XvoNmnj6aiVxeJdq7Eg0ewdHScTeWl2/atEm9H5sTUuYkjZwMkhNGLVu2vO02cnlqairatWuXfpncXu5n48aNXpGUYgxF5J0MBomfsqDJfoyfyPnu7tEQ04Z8gZSkVKvX6/Q6VKhTFiUqsceZv8VXfpOU6t69u9XG45lJA0BHy+mHDh2Kvn37ZrnqnjWNGzdW/x45csRmUiqzokWLqqTU4cOHbe4jFVjDhw/PUCklZ2OJvJku+G5oSf8llm+nB4IaQKfL8YKcRA67K09PHLj+OxKN19VUvcxVUtLgvGRYfR5RJ8tcCSwVxLaqiHPL+fPnUbhw4QyXyUkmWYRErrN1G7le9rMk92PrNp6GMRSRdypSPA8KFc2Di+eu29xH+knVbcLVzsj5wqPD8eiYB/Dly99a/Qwu25OT+vGhIK/j8CdQkyn3G/hJw1LZcmLnzp3piSZHXblyRU0ZsHcbVwTlRC4X0hG48S5gkl4+1v6WTdCFP8EHhlwiNCAPepaejhVnx+F80r4MCamKUa3RvPALXAnSBWfyMp9wGT16tKpgvpOqZkdYrtibPiRNs3q5PTm5jbswhiLyTnq9Hr0H3I2Pxv9m/XqDHuUrF0H1OqVcPjbyT33+1xUBgQbMGjMvQ9PzAiXy4flPn0LtljXcOj6fxEopp/OKsggp99+8ebMq64+OjlbBr0znk2mCpUr99yZQpUoVNf2uR48eqgmqBNL333+/SkIdP34cr7zyikqCyfVE/kSnCwbyzoB27THAdNXiFVbK0o3QRb4MXXBzN4+S/ElUYBH0LP0hriQfw8Wkf6BHAEqE10F4QM5OVFD2gyY5SWPZw8nWCZk7qWrOTFbB3bJlS4bLZOVemZ6XuYLK8jbSQF32s6yWkoVLZKU/so8xFNGdua9PQ5w+dhm/zN2spulJZZRMk5Lm50WL58XoqQ97TYKcvJ881+5/4T50fqotti3dhdgrcShSthBqt6yukqjkBExKeU5SSla8ySooNZNAV5Z8btasGXKDBMrz5s1TZ2ql74RMwZOV9EaOHJlhv4MHD6qGqOY54Hv37sXs2bNx/fp1lZiSpJbcT2RkZK6Mi8ib6AIrAQWWA4kLoSWvALQkILA6dGEPQhfAsnNyj/zBZdVGricJKWuNxXOzqjmzJk2aqIbm586dS69alubn8j5fr149q7eRy6V35fLly9GnTx91mdx+3759mDRpErwBYygi704CPP1yZ7TsVBNLft6Gk0cvISIyBM073IV729VAUHDG3rpErhASFoy7ezTiwSb/Skp98sknqvJowIABqkKpatWqGa6XZNCGDRvUijiyGo6slJNbZNU9qZRypJTfLDQ0FEuXLs21MRD5Ap0+Agh/BLrwR9w9FCLKbY4uR+zEJYvlhNTVq1fVv9JfctcuWfkTqFChAiIiIlSz8mrVqqFfv35499131b4jRoxQJ5rMCbIzZ86gdevW6qRSw4YNVYX0wIED8eKLL6oekvny5VO3kYVWzKvxeTrGUETer0rNkmojIj/jAfGVr3M4KbVmzRr89ttv+PDDD9U0uPDwcFVqHxISokrqpdlowYIFVdJKzl4WKlTIuSMnIiKidDrt5pYVR/bJqTfeeAOzZs1K/75OnTrq31WrVqFFixaqillWwB0yZIiqppYTSA899BAmT56cfhuZyieVzwkJCemXvf/++wgICFCVUomJiSppNXPmTMdWxvIAjKGIiIi8kyfEV75Op1mWF2WjYfj69etVnyYJDqWsXwJP2XxtLqusTiRnaaUSzJFpDkRERO54nyo16W3oQ0Oy3N+UmISTI1/j+5qbYgHGUERERJ6P8ZXr4qccNTqX8vlu3brdyfiIiIgoN7ERp1dgDEVERORFGF85nVesvkdERO6naalA0nJoSb/cXMXRUBK60N5AUGOuPERERERkw9mTV7Dk+y04sOM4DAEG1L+3Mtr1qo88+SJ4zMjv5SgpJUsyW1v6VC6THlPS0LR///6qvxQREXk/zXQd2tUBQNp+ADJN2wSk7oOW9BsQ3AnIMxk6Hc9zEGWFMRQRkX9Z/vN2vP/Kj+qzssloUpft23oM33+yEm9+MQA16nMVYvJv+pw2MpXeUZ07d8bYsWPVqnzytVz2zDPPoFKlSnj66afxxRdf5P6IiYjI5bTrI4C0f259dzOgAow3/0leAi3uIz4qbqazaMZpd3P3QP0cYygiIv9xcPcpvD/qR2gmLT0hJaStc1JiCt4YNAMxV+PdOkayj/GV8+XotLY0OX/77bcxePDgDJd/9tlnWLZsGebPn4+aNWti2rRpaplnIiLyXlraUSBlrb09gIRZ0CKegk6XdaNtIn/GGIqIyH8smLkOer0ORuPta4tJoiopIQXLf96GXk80d8v4iLy2Umrp0qVo06bNbZfLEs1ynejUqROOHj165yMkIiL3St546zyRHVockHrAVSMiq4+BzvGN3IYxFBGR/9i29iCMFhVSmUnF1PZ1B106JsomxleemZTKly8fFi1adNvlcplcJ+Lj4xEZGXnnIyQiIjezHUxldGs6HxHZxBiKiMh/mEy3V0hllpbmaJxF5JtyNH3v9ddfVz2jVq1ahYYNG6qmbX/99Rd+//13fPrpp2qf5cuXo3lzliESEXm9wFq31sO1JwgIqOyiAZFVXLLYKzCGIiLyH9XqlMbOTUcy9JOyJFP7qtct4/JxUTYwvvLMpJT0iapWrRqmT5+On3/+WZUdVqlSBWvWrEHTpk3VPi+++GJuj5WIiNwhsCYQUP1Wo3Nr1VB6ILQHdPooNwyO0jFo8gqMoYiI/Ee3x5ph+/pDNq+X4o6OfRu5dEyUTYyvnC7H63c3a9ZMbUTkX7SU3TAl/gjNeAo6fT7oQrpCF3wvdDqDu4dGTiIBE/J8AO3qg4DpisV0vlu9iQKqQRf5Eo8/kYMYQxH5n/jYBPz57TpsXbYbxjQjqjSsgE4DW6NA8ZutT8g3NWheBQ8Mbol5n66C3qBPr5gyyNeahhHvPoDCxfO6e5hE3pmUMhqNWLhwIf7++2/1gUUqp7p27QqDgR9MiXyRpplgin0VWuKP8laqKmY0GKAlLQIC68GQ90vo9Owj56t0AaWAAouAhDnQEuYD2nXAUBy60L5AWC+uuucBdNrNzZH9yL0YQxH5l0Pb/sWoTuNx43q8Op2jacCO5Xsw952FeGnmM2jR5+ZME/JN/Yd3wF0NyuKX2RtwYMcJGAL0aNiyKro92gwVqhV39/AoC4yvPDQpdeTIEbW63pkzZ1C5cmU1fe/QoUMoWbIkFi9ejPLly+f+SInIrbT4T28lpGAxhevWv6k7YYwZiYC8n7hreOQCUhmHiKHQRQzl8SbKIcZQRP4l7nq8SkjFxyaqaUCaZQNskxHvPDodxSsURcW6Zd08UnKmevdUVhsR5dLqe88995xKPJ06dQo7duzAzp07cfLkSZQtW1ZdR0S+RdNSYIr/2s4eJiB5ObS0Ey4cFRFZ7XngyEZuwxiKyL8sn70GcdcTbDa6lhnyCz783eXjIiIHMb7yzEopaWi+efNmtayxWf78+fHOO++wzxSRL0rdf3O6ll06aMlroQvo56JBEVEGbMTpFRhDEfmXLUt2qlklthjTTNj823aXjomIsoHxlWdWSgUHB+PGjRu3XR4XF4egoKDcGBcReZQ0B/aRLgmpLhgLEZH3YgxF5F/SUoxZ75Oa9T5ERL4qR0mp++67D08++SS2bNmiMv+ySeXU4MGDVbNzIvIxAZUABGaxkwm6wFouGhAR2WrE6chG7sMYisi/VG1UQa26ZotcV7lBBZeOiYgcx/jKQ5NS06ZNUz2lmjRpgpCQELU1bdoUFSpUwNSpU3N/lETkVjp9NHQh3W6tumeNATBUBALrunhkRJRO0zm+kdswhiLyL52eaH1zuT0bpNdU96EdXDomIsoGxlee2VMqT548+OWXX9QKMn///beqlKpWrZpKShGRb9JHjYIxbQ+QduRmY/N0BkAXCUPeadBJt04iIrKJMRSRfylarjCe//RJTHnqMxgMetVDylwhJQmpbs+0R9Ou9d09TCIiz09KDR8+3O71q1evTv96ypQpdzYqIvLIailDvh+hJXwHU+JcwHgO0EVDF9oD+vD+0BmKuHuIRP6NjTg9FmMoIv/WYUBLlKxcDPOnLsbWpbtUMqpy/fLo/mxH3NOzEU/qEXkyxleek5TauXOnQ/uxUoLId+n04dBFPAl9xJPuHgoRkddgDEVE1ZtWVhsRkVi7di3effddbN++HefOncOCBQvQvXv3LFfwlRNd+/fvR7FixTBy5EjV19vS/Pnz8frrr+Pff/9VLZfGjRuHHj16+EZSatWqVc4dCREREeWYo03M2ejc9RhDEREReSdnxVfx8fGoVasWBgwYgPvvvz/L/Y8dO4ZOnTph0KBB+Pbbb7FhwwYMGTIEBQsWTL/9pk2b8MADD+Ctt95SiShJdPXp0wfr169Ho0aN4FM9pYiIiMjDsLyciIiIyCviq44dO6rNUZ9++ilKlSqVvrBc1apVsW3bNkyePDk9KSXXtW3bFqNGjVLfy79SXSWXz507Fz61+h4RERERERERETnfpk2b0K5duwyXtW/fXiWmUlNT7e6zceNGj36IWClFRORCmpYMGM8ACAIMxdmHj3LxyeVg6Xg2z+QRERF5givnriE+NhEFiuVFWGSou4dD/iKb8VVsbGyGi4ODg9V2p86fP4/ChQtnuEy+T0tLw+XLl1G0aFGb+8jlnoxJKSIiF9BMcdDiPgQSfwC0+JsXGsoCEUOgC+3Gx4CIiIjIih0r92P2uAX4Z+u/6vuAoAC07N0I/d+4H/mL5uUxI49SsmTJDN+PHj0aY8aMyZX71ul0Gb7XNO22y63t4+mL0TEpRUTkZJopAdrVfkDa3wBM/11hPA4t5n+A8Rx0ERlXziDylJ4HRERE7rL2578wYcCnsPxMnZaShj+/34Qdqw5g2qrXmZgij4qvTp06haioqPSLc6NKShQpUuS2iqeLFy8iICAA+fPnt7tP5uopT8OeUpRO01JhTPkLaUmrYUo7xSNDlFsSZt2ekLr5V3fz/3HvQ0s7yeNNuRM0ObIRUa66cOIStv6xE3vX/Y3UlJu9PYjoziTFJ+P9oTOgQYPJlPHNy2Q04dqFGMwYO5+HmTwqvpKElOWWW0mpJk2aYPny5RkuW7ZsGerXr4/AwEC7+zRt2hSejJVSpEr60hJmIiVuGmC6mn5E9EH3IDh6HPQBpXmUiO6AljDHSkLKkh5a4k/QRQ7ncSYi8iLnjl3AtCFfYtuyXf99IMkfiYde6Ymez3f2+CkTRJ5s7cKtSIxLsnm9JKZW/7QZT098COHRYS4dG9GdiouLw5EjR9K/P3bsGHbt2oV8+fKpVfZk5bwzZ85g9uzZ6vrBgwdj+vTpGD58OAYNGqSamn/11VcZVtUbNmwY7r33XkycOBHdunXDL7/8ghUrVmD9+vUe/YCxUoqQGvc+UmLHZEhICVPKRiRe7g6TaspMRDmhaSmA6UIWe5mAtOM8wHRHpAmnoxsR3blLp6/guSavYseKPRkqEGOv3MCnL87CjNc8d/ltIm9w5sh5GAINdvdJSzHi0tlrLhsT+R9nxVeyal6dOnXUJiTZJF+/8cYb6vtz587h5Mn/ZlKULVsWv//+O1avXo3atWvjrbfewrRp03D//fen7yMVUd9//z1mzJiBmjVrYubMmZg3bx4aNWoET8ZKKT9nMp5DqlRIWWUEtBik3PgAIXkmuXhkRL4i8NZmbzqHHtBHuHBMRER0p757ez5ir95Q1RrWzH1nAToNaoMiZQrxYBPlQHhUKLRM0/as7hcZwuNLXqdFixbpjcqtkYRSZs2bN8eOHTtgT69evdTmTVgp5efSEmUetr3SciOMiQugabZLZ4nINjV1I6STLLVn9+9MF9KRh5GIyEtI36jl36yBKc321Gy9Xo/ls9e4dFxEvuTurvVtJn2FTq9DpbplUbDEzSbPROSdmJTyc5rxnANPgxRopusuGhGR79GFD7qVlLL2t2YAAmsBQc3cMDLyKWx0TuQycdfikZKYkuVJiUunrrhsTES+plj5wmjdt4lKPlkjVSb9Xunu8nGRn2F85XRMSvk5nT6fA0sxGaDT/besJRFl8+8ssBJ0eb8CdNEWM6dvVU4F1ocu7xfQ6fhyTETkLcKiQmEIyOp1W0OeQoyfiO7EsA8HoFWfxuprvUGPgFs9poLDgvC/zwahQbuaPMBEXo49pfxcQGh3Oz2lhAGGkA7Q6bmiBdGd0AU3AgqtA5KWQ0v7GzpdMBDcErrAGjywlCscbbLJRudEdy44NBj39m6CtT9ugtHGFD65vPXD9/BwE92BoOBA/O/zJ/HQyK5Yt3AbEm4kqgqqe3s0QFhkKI8tOR3jK+djUsrP6QPKwxDaF8bEeVYqpuQMYCCCIoa5aXREvkWnCwJCO0OHzu4eChER3aGHX+uFTb9ug6al3tb3RqbutX20OUpXK8njTJQLilcogr4j7uOxJPJBnC9CCI4eh4CwgbflKHWG0gjJ/z30gZV5lIiIfKXvARHlitJVS2DyqrEoVqFIhstlelH3Zzvihc+f4pEmIvIFjK+cipVSBJ0uAMHRryMociiMSaugaQnQB1SEPqjhzZXDiIjI8zmadGJiiijXVK5fHl8fmIr9G/7B8f2nVZ+bhh3rILoAe0kREfkExldOx6SUj9C0RCDxN2hJiwDTNcBQFrqwB4Cgpg4nlnT6vAgI6+n0sRIRERF5iqN7T+K3L1fin7+OIDA4EI0710HHx1o43KRc4qwad1dVGxEREWUPk1I+QDNegHa1H2A8LqHRzXRu2hFoyX8AIV2A6EnQ6W6t9EVERD6JjTiJsu/nD//AZy/PUSvpmRuWH9x+FD+8txjjf/0fqjaswMNKROTHGF85H3tK+QDt+rOA8ZT5u1v/Gm/+k/QbEP+5u4ZGRESe1O/AyX2lxo0bh6ZNmyIsLAx58uS57frdu3fjwQcfRMmSJREaGoqqVavigw8+yPJ+W7RooapRLLe+ffs66bcgf7Fj5T6VkBKWK+hpJg1J8Ul4tftkxMcmunGERETkdh4QX/k6JqW8nJa6B0jd9V8S6vY9oMXPhKaluHhkRETkb1JSUtC7d288/fTTVq/fvn07ChYsiG+//Rb79+/Hq6++ilGjRmH69OlZ3vegQYNw7ty59O2zzz5zwm9A/mT+tCXQG6yHwiaThvjYBKyYs97l4yIiIvInnL7n7ZI338otZlyKOAPtGpD2LxDIXgdERL7KE8rLx44dq/6dOXOm1esff/zxDN+XK1cOmzZtws8//4yhQ4favW+pvipSJOMqZ0R3Yteav2Ey2o6fdNBh1+oD6Da4LQ80EZGf8oT4ytexUsrrSTDlSCNz/pUQEZHniYmJQb58+bLc77vvvkOBAgVQvXp1jBgxAjdu3HDJ+Mh3yTQ9u9drGkwmOyf9iIiI6I6xUsrbBdW1M3XvFl0EEFDOVSMiIiIvWLI4NjY2w8XBwcFqcyWpkvrhhx+wePFiu/s9/PDDKFu2rKqU2rdvn5ryJ/2pli9f7rKxku+p2rA8Dmw5DJPR+h+OTq9DtUYVXT4uIiLy3viKso+VUt4usAFgkJVhbK2upwfCHoROF+LigRERkSc34pRm49HR0enbhAkTrN7tmDFjbmsynnnbtm1btocrPaW6deuGN954A23bts2yn1SbNm1Qo0YN1eD8p59+wooVK7Bjx45s/1wis57PdrCdkNIBgUEB6PBYcx4wIiJ/xkbnTsdKKS8nHwaQ9yNoVx8GTFctekvd6jMV1Bi6iOfcPEoiIvI0p06dQlRUVPr3tqqkpNdTVivdlSlTJls/+8CBA2jVqpVKNr322mvIrrp16yIwMBCHDx9WXxPlRNMu9dD7+U74cervquG5ub+UfC3b6989h+gCkTy4RERETsSklA/QBZQFCvwGJHwPLXEhYIoFAkpBF/YgEHIfdLrAbN+nppmAlA3QEhcAxvOAoQh0oT2BoKbQ6VhgR0Tk7Y04JSFlmZSyRfo4yZZbpEJKElKPPfYYxo0bl+P7SE1NRdGiRXNtXOSfJ/aeGNcXdVrVwC+fLMPBbUcREBSApl3qqubmJSrm7Pl19WIMln63EXs2HlLf17q7Mto/1BR5C2b990ZERJ6Fjc6dj0kpH6HT5wMihkAXMeSO70vTkqBdewZIWXdrWqARSDVAS/oNCGoO5J0Onc61fUeIiMjznTx5ElevXlX/Go1G7Nq1S11eoUIFREREqGRSy5Yt0a5dOwwfPhznz59X1xsMBhQsWFB9febMGbRu3RqzZ89Gw4YN8e+//6om5506dVLJMamyevHFF1GnTh00a9bMrb8v+YZ6rWuoLTf8tWIf3h74OdJSjemN1HdvOIS57y/BGzOeQr2W1XLl5xAREfkKlrzQbbTYcapK6iZjxn9T1kGLtd53hIiI/LvngfSHkmTR6NGjERcXp76Wzdxz6scff8SlS5dUkkmqnMxbgwYN0u9DKqAOHjyIhIQE9X1QUBD+/PNPtG/fHpUrV8Zzzz2nklrSU0qSWUSe4tyJy3hrwGdIS0nLsLKffJ2anIaxj32KCyevuHWMRETkffGVr2NSijLQpC9V4nyL3lSZmYDEH6GZrvPIERF5Eg8ImmbOnAlN027bWrRokd403dr1x48fz9CfyvI20pB9zZo1uHLlCpKTk3HkyBF88MEHyJcvn/N+EaIc+G3GGphM8py+/Tp5ThuNJiyeLVXoRETkNTwgvvJ1TEpRRil/AUjL4qikAilbeeSIiIiIbtmybG96s3Rr5DrZh4iIiP7DnlKUkZZVQsrM0f2IiMgV2IiTyL2MaeaWB7alpTJ+IiLyJoyvnI+VUpRRYE0HjogOCLiLR46IiIjoluqNysNgsB1ay3WyDxEREf2HSSnKQBdQCgi6+9aqe9YY1Ap8uoASPHJERJ6EPQ+I3KrLgBaqb5Qtcp3sQ0REXoTxldMxKUW30UVPAAxFrDw99IChGHTR43jUiIg8tLzckY2Icl/lumXw+Gvd1dd6i4opc/XUoDH3o2KtUjz0RERehPGV87GnFN1GZygM5F8AJMyFlvADYLoM6AtCF9YbCHsIOn00jxoRERFRJr2HtkPF2qWx8POV2LPhkLqs1t2V0ePJVqjZrBKPFxERUSZMSpFVOn0eIOJp6CKe5hEiIvIGji5HzEopIqeqfXdltRERkQ9gfOV0nL5HREREREREREQux0opIiKCpiVDS/odWvJKQEsBAqpBH9YHOkNRHh1vwTN5RERELnfiwGksmbEKZw6fR3h0GJr3boyGHevYXY2TvAjjK6djUoqIyM9pacdgvPooYDp3q4DWBCSvgjH+Y+ijxkEf1svdQyQH6G5tjuxHREREd0bTNMx84wfMnfgLDAF6GNNMapGDlXM3oGK9spjw28uIyh/Jw+zlGF85H9O3RER+XiF1MyF18dYlJot/jTDFjoKWstWNIyQiIiLyPH/MWK0SUkISUsJkvPnvv7tO4K2+H7h1fETegkkpIiI/piUtvVUhZbSxhx7G+C9cPCq6o/JyRzYiIiLKMZPJhLnvLLRZfizJqd1rDuDIzuM8yt6O8ZXTMSlFROTHtOTVWbwVGIHkNdA0cwUVeSqd5vhGREREOXfu3ws4f/yS3RM9MpVvy5KdPMxejvGV8zEpRUTkz6SpeZalM1JFxaQUERERkUhNsVVh/h+dXofU5FQeMKIsMClFROTHdIHVs2h9rQMCKkGn47oYHo/l5URERC5RtFwhhEQE293HmGpEpXrl+Ih4O8ZXTsekFBGRH9OF9gZgsLOHBn3Yoy4cEREREZFnCw4NQqeBrdQUPWvk8nxF86BRpzouHxuRt/GqpNTixYvRqFEjhIaGokCBAujZs2eWy3SOGTMGxYoVU7dp0aIF9u/f77LxEhF5Op2hAPTR7956O7BMTt2sntIFd7yVuCKvwCbnZANjKCKi3PXY6N6oULuMmqZnyRCgR1BIIN6Y9zwMAfZO/JHXYHzlVF6TlJo/fz769euHAQMGYPfu3diwYQMeeughu7eZNGkSpkyZgunTp2Pr1q0oUqQI2rZtixs3brhs3EREnk4feh8M+X6ALridnPu7+dYQUBn6qAnQ5/kAOh0DKm/ARpxkC2MoIqLcFxoRgsl/vo6B4/qiSJmC0OluXtZhQEt88td4VGtciYfdBzg7vvr4449RtmxZhISEoF69eli3bp3Nffv37w+dTnfbVr26tOO4aebMmVb3SUpKgqfyiiYhaWlpGDZsGN59910MHDgw/fLKlSvbrZKaOnUqXn311fSKqlmzZqFw4cKYM2cOnnrqKZeMnYjIG+iCasMQ9GH666e8eRGR92MMRUTkPCFhwejzYhe1MX6i7Jo3bx6ef/55lZhq1qwZPvvsM3Ts2BEHDhxAqVKlbtv/gw8+wDvvvJPhPb5WrVro3TvjrIaoqCgcPHgw43M1JMRjHyCvqJTasWMHzpw5A71ejzp16qBo0aLqwbI3Fe/YsWM4f/482rWTM/83BQcHo3nz5ti4caOLRk5EvkYCDlPyBhhj3oDx+giY4j6BZrwIX8KElJdiI06ygjEUEXmKaxdj8MPkXzGp/0f4YMiX2Lp0F0wm31ndl/GTj3JifCWzugYOHIgnnngCVatWVUU1JUuWxCeffGJ1/+joaDX7y7xt27YN165dU7PJMj8XLfeTzZN5RaXU0aNH1b/SH0oeuDJlyuC9995TCaZDhw4hX758t91GElJCKqMsyfcnTpyw+bOSk5PVZhYbG5uLvwkReTPNdA3Ga4OA1F23Xj419R/ipkIfNRr6MPtTiomIXI0xFBF5gmWz12Dq4M9hNJrSpxMt/mIFytcug/G/vYy8hfO4e4hELpWSkoLt27fj5ZdfznC5FNU4WkTz1VdfoU2bNihdunSGy+Pi4tRlRqMRtWvXxltvvaWKezyVWyulJMlkbb6j5SbZP3MGXabi3X///Wqu5YwZM9T1P/74Y7Yy1lmVVU6YMEFlIM2bZCqJiOS1w3htMJC699bBSJPFfgHI65MRptg3YEpayQNFbsOeUv6FMRQReYudK/di8hOfIC3VCM2kwWQ0wZgmMRRwfN9JvNplok9VTJF/x1dS1GK5WRa8WLp8+bJKGhW2UkRjLrCx59y5c1iyZImqsrJUpUoV1Vfq119/xdy5c9W0PZkaePjwYXgqt1ZKDR06FH379rW7j1RFmRuTV6tWLcNUvHLlyuHkyZNWb2cuUZMHVKb7mV28ePG2B97SqFGjMHz48PTv5YnExBQRIXUnkLrdzoHQwxT/MfQhrXiwyD0cLR3PYSNO8iyMoYjIW8x9Z6FqwyLJqMyMaSYc2XkMu1btR93Wd7llfES5GV9lzh2MHj1anUjKrSIaM0k85cmTB927d4elxo0bq81MElJ169bFhx9+iGnTpsETuTUpVaBAAbVlRSqjJAklzbruvvtudVlqaiqOHz9+W6mamXSwl8TU8uXL00vVpERuzZo1mDhxos2fJT9HNiIiS6bkFbdeMqVCyhqTmtanma5Cp799SjERUW5iDEVE3iAxPkklnOwxBBiw8ZetTEqRTzh16pRqNG5mK7cg7+MGg+G2qqisimjMiauvv/4a/fr1Q1BQkN19JSHcoEEDj66U8opG5/KgDh48WGUZly1bppJTTz/9tLrOstO8lKotWLBAfS3ZRelkP378eHXZvn371BKKYWFheOgh9n0homzSEh3cz3OXWyXfxul7ZA1jKCJyp9SkVAf20pCcmOKC0RA5P76S913LzVZSSpJJUnyzfPnyDJfL902bNrU7Jim0OXLkiGqSnhVJYO3atSvD7DFP4xWNzsW7776LgIAAlQ1MTExEo0aNsHLlSuTNmzd9H0lWxcTEpH8/cuRIte+QIUNUV3q5jSS1IiMj3fRbEJG30gVUgWazSsq8UzSgL+iqIREROYQxFBG5S0TecOQtkgfXzl+3uY/JqKHcXaVcOi4iTyBtg/r164f69eujSZMm+Pzzz1V7IinIMbcWOnPmDGbPnn1bg3PJbdSoUeO2+xw7dqyavlexYkXVikim7ElS6qOPPoKn8pqkVGBgICZPnqw2e1lAS1ItJfM37c3hJCJyhC7kPuDGuFsVU9YmluuhC3sQOl0gDyi5B3tKkQ2MoYjIXWTqULch7TFrzA+qyfltdEBgcADa9LvXHcMjcmt89cADD+DKlSt48803VeNySTL9/vvv6S2K5LLMPbSlCGf+/Pn44IMPrN7n9evX8eSTT6ppgbJwm7QyWrt2LRo2bAhP5TVJKSIid9Lpw6GPfg+m60NvXXJz1Zib9EBANejDb04rJnILJqWIiMgD3f98Z2z9YxcObD6UITGlN+hVUcGLXz6NyLwRbh0jkbviqyFDhqjNVjPzzCTRlJCQYPP+3n//fbV5E6/oKUVE5An0IW1hyDcPCG7538unvgD0Ec/CkG+OSlwRERER0X+CQ4Pwzh+vov+bDyB/0ZutV3R6Heq1q4n3/hyNlg/Y759DRL6NlVJERNmgC6qNgKBPoWkpgJYM6CIcWraVyNksm2xmtR8REZGrE1MPvtQdfUd2Q2JcEgKDAxH4//buBD6q6v7///vOZA8kLGGVXWQTqwiCgEWUTVTwq1VAK4qCLW5ohV+tf62iVq2o1LprRRRFpdZdUQERN6gCoggKLmBBFoGwZCHrzP0/zoXEBDLJJDDbndfz8bhM5s6dybn3hOQznznnc5J4K4roR3wVevwmAIA6sKwkk6Hi2oVIScl3yst7XIUFb8m2C5WQ0Enp9S5RWtooWRZ/uqrE9D0AQJQzH+Sl1U+NdDNcq7SkVO8+9YHeeORdbVy72UkGDhzVT7+77ky17nxEpJsXm4ivQo7IHgAQVQoLP9TO7Iv31+3aV7urtPRb7dk9RYWF89So0ZMkpgAAACooKS7RX0fereXzv5Ily6nXVVpcqndnLtT8Zz/Une/cqGNPPpprhqhDTSkAQNTw+/O1a+dlJg11QDF5v/NvUeF85efNiFj7opll20FvAADAXV669019sWClM7Kn4qr0vlK/k5y69Xf3qqigKKJtjEXEV6FHUgoAEDUKCl6VbeeVJ6EOZisv/8lKwRYAAEA88/l8eu2hdyqtbliR328rd2eePnrpv2FvG1ATklJANWy7VLZvm2x/DtcJCIOS4i9rnFnu922S7d9FfwSqeRDMBgAhlp9fpOzsPJWWVhz1CiAUdm3d7WzV8SZ6tXbpD3RAbRFfhRw1pYAq2HaB7LwnpL3PS/a+N7924vGy6l0uK/lkrhkQKlZikMdRZP6gS8LqewCiwNerftas2Z9q2Rc/OffT0pJ05vBjdeH5/VS/fkqkmwe4UkIwKxnaQR6HSoivQo+RUsABzEpf9s6LpfxHyxNSjpIvZe+6TPbeF7lmQIikJJ+yv55UIB4lJh4vj6cefQAAUeaTxd/pminP64sv/1e+b+/eYv3n1WW68tpnlZNTENH2AW6VmZWhDr9p66xuGIiv1Kfew3uEtV1AMEhKAQfKnymVrKyips2++3bOrbJ927luQAgkpwySN6GDGWQe4Ai/6tW/kmtfFYaXA4iggsJi3TXtbafmn6lfU5G5v2nzLj393KcRax/gZiYZdf4NZwesuelN8Kj9MW103Kndw962mEd8FXIkpYAKzC9ye+/saoosO0dJBf/hugEhYFleNW78vLzeI8r27L81SSpLGRk3KTV1ONceAKLMog/XaG9BccDHTWLqnfdWqqioJKztAuLFwNH9Ne62MeVJKMPy7Iujmrdvpr+9dYM8Ht7+I/rwUwlUZBdI/m01XhO7lCKBQKgkJLRR02aL1KDhA0pOOU3JyQOUXm+Cmjb9UPXqX8GFr6HmQTBbqNxxxx3q16+f0tLS1KBBg6rbaVkHbY899li1r1tUVKSrr75aWVlZSk9P18iRI/Xzzz+H6CwA1MX/NmQrYf8b4UAKC0u0fUcuFxgIkd/f9Ds9uWq6Rl5xmo4ffIz6n3WCbnhukp5YeZ+ats7iusdofOV2VDoDDiqy7KlhpJRHstK4bkAIWVaK0tLOdTYEKdiV9UIYNBUXF+u8885T3759NWPGjIDHzZw5U6eddlr5/czMzGpf99prr9Wbb76pF198UY0bN9bkyZN15plnavny5fJ6A031BBBOKSmJAacOVZSawkIVQCi17dZaV9x/CRfZRfGV25GUAiqwrETZyadKRR+YcoABrk2prJRhXDcAOMCtt97q3D799NPVXhsziqp58+ZBXb89e/Y4Ca5nn31WgwcPdvY999xzat26tRYsWKBhw/h9DESDk/p10jPV1IzyWJY6dWquxo1ZqAIA8Cum7wEHsNL/uD/VXdXqFV4p4WgpqR/XDUBMDy/PycmptJkpcuFy1VVXOVPxTjjhBGfqnt8feHSqGQ1VUlKioUOHlu9r2bKlunfvrsWLF4epxQBq0vHIpjqx95Hy7K9hcyC/beuiC4ifAMQWpu+FHkkp4ABW0rGyGjxoBqLvT0wl/DqoMPFoWQ2flGXxXwdAbDMjjcy0ubLtrrvuCsv3vf322/XSSy85o5zGjBnjTMW78847Ax6/detWJSUlqWHDhpX2N2vWzHkMQPT46w0j1PP4ds7XXq/H2cwK9abW1JRrT1PfEztGuokAgCjD9D2gClbKEKnpp1Lhm7JL1ppM1b59ib2corwAEOs1DzZu3KiMjIzy3cnJyVUePnXq1PJpeYEsXbpUvXr1CqqZN910U/nXxx13nHN72223VdofDFO7ht/HQHRJS0vWtDtGac3aLfrw47Xau7dIrVs10pDB3ZWZkRrp5gFA7VFTKuRISgEBWJ56Utr5VU7iA4BoVJuVX0xCqmJSqrqpdmZEU3Xatds3MqIuTjzxRGf64C+//OKMfjqQqT1lCqjv2rWr0mipbdu2OSv9AYg+XTq3cDYAcANW1gstklIAACAgU/vJbKGyYsUKpaSkOMXPq9KzZ08lJiZq/vz5GjVqlLNvy5YtWrVqlaZNmxaydgEAACD0SEoBcc5MgbGLP1Fp/izZJSslK1nelKHypl0kK6FNpJsHIFhmKfYglmMP6pg62rBhg3bu3Onc+nw+ffnll87+jh07ql69enrzzTedOlB9+/ZVamqqPvjgA9144436wx/+UD59cNOmTRo0aJBmzZql3r17O/Wuxo8f79Seaty4sRo1aqQpU6bomGOOKV+NDwAiYff2HL39xHy9P/sT5e3OV6tOLXXmH4fo5FF9nXpaAFwgCuIrtyMpBcR5Qqo05075987Yt7KgfM5+X/4z8uXPVmKjJ+VJ7h/pZgKIETfffLOeeeaZ8vs9evRwbk3yaeDAgc6Ip0ceeUTXXXeds+Jehw4dnHpSV155ZflzzEp7a9eaWjR7y/f94x//UEJCgjNSqqCgwElaPf300/J6ze8tAAi/DWs2afIpU7VnR65s/743o+brrz/+Vu8//7GmvjxFiUm81QKAmvCbEohj/sK5+xNSKk9I/fq1XyW7/qikpotleWquOwMgOpYsDua4UDGJIrMFctpppzlbTfWpTMK8IjO978EHH3Q2AIg0k1S/5ex7lJOdV56Qcvb7/M7t0ne/1At3vaqLbjkvgq0E4Jb4yu0YVwrEMV/+jGp+DZihqgXyFbwS5lYBOKTVYYLZAAB19uXCVfr5uy3lSaiDfh37bb320LsqKS7lKgOxjvgq5BgpBcQp2/bJLvmqxneodvEyKX1c2NoFwF1yCgr15tJvtezHn50RUMd3OEJnnXC0MtNTIt00AKiTVZ+ulTfBK19pxVHmleXuzNPmH7aqbbdWXGUAtWbbtr5Z8p3mP7NIOzbtVKMWDTXkopPV/aQusix3rQ9PUgqIW1aQx7jrlx7gVpZ/3xbMceFiElFXP/m69hYVl+/7YPWPevjdxfrnpSN1Yqe24WsMABwm+94PBjOfh0sOxLpIxFelJaX6+9gH9eG/F8ub4JGv1O/cvjPjffU76wTd+OKflJScKLdg+h4QpyzLIyupTw2/BvzyJPUNY6sAuGV4+S+783Tlv15TQXFJ5W9vS4Ulpbrqyde1aeee8DQGAA6jHqce47xJrE7D5g3U6qgWXHcg1kUgvppxw/P66KUlztdlv2vKbpe8uUyPT/51URk3ICkFxDFv+gQn8VQ1j2RlypN6VphbBcAN/rNkpYpKSuWvYolks8vn92vOp2YKMQDElqP7d9aRx7VzRi5UyZJ+d+3pzhQ/AKiN/Jy9euORdw9a9KVizbq5/1qgnOxc11xYklJAHPOmnCpv/Sll9w5ISKUrsdHTsjzpEWodgLqsDhPMFg4LV/1YZUKqjM9va+HXP4anMQBwGJl6Lre+MkVNWmc5Caiy8i6e/Umqwb//rc69bgTXHHCBcMdXKz/8RsWFJdUeU1ri04qFq+QW1JQC4lxCvSvkSf6tfPmz9xU+t5LlSRkib+poWd6sSDcPQIwqqaYAcPkxvpqPAYBo1KxtEz3x5T1a8NzH+uDFT5S7K1+tO7fUGZcN1vGDj3FdIWIA4VEa5KqdwR4XC0hKAZAn8Rh5GvydKwHEMjMqqZqRSZWOC4Nj2jbXxuzdzoioqng9lo5pS70VALErtV6KRkwc4mwAXCrM8VXHHu2DO+744I6LBUzfAwDABaJt+t6Y/scFTEgZ5rEx/Y8NT2MAAABiIL5q0aGZeg07LmDNOjNN+JgBXdW2ayu5BUkpAAAQkpFSV5/e3/naW2Eai2f/138c0ke9jnRPQAUAAHA4XPeviWrUoqE83srpGnO/QZNM/fnpq1x1oZm+BwCAGwS7HHGYRkoZlw3urS5HNNGsRV9o2Y8bnX092h+hsScfr1O6Hxm+hgAAAMRIfNWkVWM9suxuvfbAO5r75ALt3rZHGVkZGn7pqTrn2jPUsFkDuQlJKQAAEDK/7dre2cqWNqb4LwAAQPUaNMnUuNvHOJuJodwcP5GUAgDABYKtZxCumlIHfV8XB1MAAMCdoiG+slweQ5GUAgDADaJs9T0AAICYR3wVciSlAACHVWHpL/pl7wfy+fcqPamDmqSeJI/FnxsAAIBAfD6fls9bqZ9WbVByWrL6juippm2acMHgeqy+BwA4LPx2ib7ePlULNw7R6uw7tGbX/Vr+y1X6YOMQ7Sj4L1fZZUsWAwCAw2PVp2s0tsOVuvGMOzXj/3teD096She2v1LTxj2kooIiLrOL46tHHnlE7du3V0pKinr27KmPP/444LGLFi1ypvIduK1Zs6bScS+//LK6deum5ORk5/bVV19VNCMpBQA4LFZuv1kb81426an9S5CYW6nIl62lWydqd9EqrjQAAEAF67/+n64fcpt2bNrp3Pf7/E5ha7O9/9xH+vvYB7heLjVnzhxde+21uvHGG7VixQr99re/1fDhw7Vhw4Zqn7d27Vpt2bKlfDvqqKPKH1uyZIlGjx6tsWPH6quvvnJuR40apc8++0zRiqQUAOCQ5RX/qM35bwZYD3dfkur7XY9wpcOxZHEwGwAAiAqz73xFpaU+2f6D/0D7/bY+eeVzff/Fuoi0DaGNr6ZPn67x48drwoQJ6tq1q+6//361bt1ajz76aLXPa9q0qZo3b16+eb3e8sfMawwZMkQ33HCDunTp4twOGjTI2R+tSEoBAA7Z5vx3ZOnXP4gHsuXT9oKPVeLP5WqHCNP3AACILcVFJfrk5f/KX7pvdHlVvAleLXz+k7C2C3WPr3JyciptRUVVT78sLi7W8uXLNXTo0Er7zf3FixdX2wU9evRQixYtnGTTBx98UOkxM1LqwNccNmxYja8ZSSSlAACHrMSfY/5s13CUrVIfSSkAAACjMK9QvmoSUmXxU85O4qdYYUY6ZWZmlm933XVXlcft2LHDKW7frFmzSvvN/a1bt1b5HJOIeuKJJ5yaUa+88oo6d+7sJKY++uij8mPMc2vzmtGA5ZAAAIcsNaGl7P01pALxWElK8jbiaoeKGfZfxdD/Ko8DAAARl56ZptT6KSrILQx4jG1Lzds1DWu7UPf4auPGjcrIyCjfbYqNV8eyKn+oa2qJHbivjElCma1M3759ne937733asCAAXV6zWjASCkAwCE7ot4IWdWMlDJT+46oN1JeTwpXO1SoKQUAQEwxU/OGXzpIHm/gt+Wm1tSwcQPD2i7UvaaUSUhV3AIlpbKyspxaUFsPGMG0bdu2g0Y6VefEE0/U999/X37f1Jg61NcMN5JSAIBDluxtrM6NrguYkEryNtRRDS7nSgMAAFQw5oazlXVEI3kSqn5rPvaW89S0TROumcskJSWpZ8+emj9/fqX95n6/fv2Cfh2zap+Z1ldx9NSBrzlv3rxavWa4MX0PAFzA9ueqtORL84W8icfIE4Fpch0yL1aSp4G+3/2wCko379/rUdO0U9St8fVKSYjeT2jcwIxTKyuyWdNxAABg37Sm9V9v0Pafs9WgaaY69ewQ9mlODZtm6oEld+qxyU/ro//8WvS8SevGuvCmczV8wiC6yqXx1XXXXaexY8eqV69eTjLJ1IvasGGDJk6c6DxuVs7btGmTZs2a5dw3K+i1a9dORx99tFMo/bnnnnPqS5mtzDXXXONM5bv77rt11lln6fXXX9eCBQv0ySfRWyyfpBQAxDDbLlJBzl0qzn9OUtnqHglKTD1baZlTZXl+ndMeDq3qn+VM5cst/k6l9l6lJ7ZRsjcrrG0AAACoycqPvtHDk57SupX/K9/XsmNz/fHei9Rv5AlhvYCNWzTUjc//SVf+c482fb9VyWlJan9MG2d6F9xr9OjRys7O1m233aYtW7aoe/fumjt3rtq2bes8bvaZJFUZk4iaMmWKk6hKTU11klNvv/22Tj/99PJjzIioF198UTfddJP++te/6sgjj9ScOXPUp08fRSvLNulhBGSWcTRV8/fs2VOpYBkARJpt+5W/82KVFpkVNw4sMu6VJ7Gb6me9LMtKjVALEc6/U/0HTVVCQs01u0pLC/Xp+1P5u1aHa0wsULefTa4bgGhMSP158G3y+/1OzaYyZpCUuffXOddpwLl9I9pGRBbxVfjiAGpKAUCMKi16X6VFi6pISBk++Uu+VvHeX4fzwt3M0PJgNwAA4pUZk/HQ1TMOSkjte2xfwWrzuK/UF7E2InoQX4UeSSkAiFFF+S86I6ICs1SUPzuMLQIAAIhupoaU2Q5MSFW065c9Wj5/ZVjbBcQrakoBQIzy+zY6I6ICs2X7NoWxRYioCssR13gcAABxatuGHYf1OLgc8VXIMVIKAGKUx9u0xl/jFkXGAQAAyjVomnFYjwNwaEhKAUCMSko9N0A9qTKWktJGh7FFiCTLtoPeAACIV51P6KgWRzYzYVJA6Zlp6j28RzibhShFfBV6JKUAIEYlpp4uT+IxAepKeeXxtlJy2vkRaBkiwl+LDQCAOGVZlv54z0XVHjP+zguUlJIUtjYhuuTtzte0Sx7Zd4f4KuRISgFAjLKsJNVr/LwSUgY7o6Iq8ib1Vr2sl2V5GHqOqpUWvMulAQDEpf7/11s3vfAnNWiaedAIqUkPT9CIy4dFrG2IrOKiEl0/9G9a8sYyuiJMKHQOADHM42mgeo2elK/0fyotXuKsZZyQ1FPexE6RbhrCLNipeWXHlOROk930d7Ks6lZwBADAnU4e1U/9z+6t5fO+0raN2U6Cqvfw45ScmhzppiGCPpyzWN8tXye/7a9TfIXaIykFAC7gTWjrbEDQ/NvlL/6vvMn9uWgAgLiUkJigPmf0jHQzEEXenblIlseqfoFrHFYkpQAAiNMli23ftlC2CAAAIKbs2JQt228fUnyF2qGmFAAAbmCGjQe77Wd5m0W0yQAAANGkSevG8piRUocQX6F2SEoBABCPPE3kSeoT6VYAAABEjdMuOVX+iiOlEHIkpQAAcAHLDn4zkurfQJFzAACACk4e1VddeneUx+upU3yF2iMpBQBAHPKmDjnsr3nHHXeoX79+SktLU4MGDQ56/Omnn5ZlWVVu27YFrm81cODAg44fM2bMYW8/AACIb4lJCfr7ezdqwHknRropcYOkFAAAbhAFNQ+Ki4t13nnn6fLLL6/y8dGjR2vLli2VtmHDhunkk09W06ZNq33tyy67rNLzHn/88RCdBQAAiGfpGWn602N/iJr4yu1YfQ8AABew/Pu2YI4LlVtvvbV8RFRVUlNTna3M9u3btXDhQs2YMaPG1zajr5o3b34YWwsAABD98ZXbMVIKAIA4lJOTU2krKioKextmzZrlJJvOPffcGo+dPXu2srKydPTRR2vKlCnKzc0NSxsBAAAQOoyUAgDADYIdOr7/mNatW1fafcstt2jq1KkKp6eeekoXXHBBpdFTVfn973+v9u3bOyOlVq1apRtuuEFfffWV5s+fH7a2AgCAOFTL+Aq1R1IKAAA3MLFQMPHQ/mM2btyojIyM8t3JyclVHm4SVWXT8gJZunSpevXqVavmLlmyRN98840zWqompp5Ume7du+uoo45yvt8XX3yh448/vlbfFwAAIFTxFVw+fe/tt99Wnz59nE9UzRD+c845p9rjx40bd9BqPSeeSBX9UMkr2aIV2U9o0Zab9Okvd+jn/MXy276QfT8AQN2ZhFTFLVBS6qqrrtK3335b7WYSRbX15JNP6rjjjlPPnj1r/VyTiEpMTNT3339f6+fGK2Ko6OUr9enjVz7TtHEP6fbR0/Xc7f/Rjs07I90sAADCImZGSr388svOJ6V33nmnTj31VNm2ra+//rrG55122mmaOXNm+f2kpKQQtzQ+rd71gpbteEiWLNmyZcmjH3LeVqPkzhrScrpSEhpGuokA4GqWbTtbMMfVhvkQyGyHU15env7973/rrrvuqtPzV69erZKSErVo0eKwtsutiKGi1/afs3X90Nu1cc0meRM88vttffLyf/Xc7S/pmkf/oOHjB0W6iQAQ10IVXyHGklKlpaW65pprdM8992j8+PHl+zt37lzjc80nv6zWE1o/5S7Ush0POl+bhNS+230jpHYV/aCFW/6i4a0ec0aqAQDca8OGDdq5c6dz6/P59OWXXzr7O3bsqHr16pUfN2fOHOdvu6kVdaBNmzZp0KBBzrS+3r1768cff3SKnJ9++ulOcsxM+Zs8ebJ69Oih/v37h/X8YhExVPQy/0f+Mux2bf5hy777pfuWbnIiKb+t6X94TM3aNtHxg38T2YYCABDv0/dMzQgTpHo8HicINZ+MDh8+3PmktCaLFi1S06ZN1alTJ2ek1bZt28LS5nhhRqyt3GmW/q464WSSU9sLv9b2wlVhbxtii20XyS5aLLvwfdml/4t0c4DYLcQZzBYiN998s/N32hRNN6OhzNdmW7ZsWaXjZsyY4UzBb9jw4FG0ZgTU2rVrtXfv3vIRzu+//76GDRvmfBg1adIkDR06VAsWLJDX6w3ZubgFMVT0WvrOl9rw7abyZNSBTNz74t2vhb1diD0/5WVr4ea1WrJtnYp9pZFuDuAuURBfuV1MjJRat25debHV6dOnq127drrvvvt08skn67vvvlOjRo2qfJ5JXJ133nlq27at1q9fr7/+9a/O1L/ly5cHrJ1hlsSuuCy2WSYbgRX4srWr+IdqL5Elr37O/1RNU4/hUqLKxKb2zpCd95hk//r/zU46UVbGbbIS2nHVgGCYWMgf5HEh8vTTTztbTRYvXhzwMfM33vm9sJ9ZJfDDDz88bG2MN8RQ0eu/by6TN8Hr1JSqit/n14r3v1ZxYbGSUig/gYOtz83WLSve0uc7fv0wLyMxRX/sfJIuPaovsxQAl8RXbhfRkVImyXRgIfIDN/Ppqt+/76fgxhtv1O9+9zunKKqpE2Uef+mllwK+/ujRo3XGGWc4BVhHjBihd955x0limWKfgZj6FpmZmeXbgUtmozK/XVLjJTF1pnz2r4k+oCI7717ZudMqJaQcxUtlZ4+W7dvEBQOAAxBDxb7i4pLysgfVKSlm5AsO9nP+bp3/4VNanr2h0v6ckkLds2qBpq9eyGUDEBMiOlLKrOgzZsyYao8xn5jm5uY6X3fr1q18vxnp1KFDB6duRbDMtD8zaqq61XpuuOEGXXfddZVGSpGYCiw1IUtJnnoq9ucFPMavUjVK7hR0PyF+2KU/S/lPBnjU5ySq7LxHZGXeEeaWAbGHQpzxhRgq9nU8tr0WzPqo2mOatG6stPqpYWsTYscjaz5SbkmhfAGmDD353aca06GnjkhrEPa2AW5CfOXypFSwK/qYkVEmCWVqTJx00knlNSd++uknJ8kUrOzsbG3cuLHa1XrM9wk0tQ8H81qJ6pR5tlbvmi27ynGNlpI86Wpb71QuHw5W+Nr+AZtVT11w9he8LjvjFlkWUxcAoAwxVOwbfNEAzfj/Zqu4qKTKaR+Wx9LZV5/OFCwcpMhXqrc2fh0wIWV4LEtvbFipy7sM4AoCiGoxUeg8IyNDEydOdAqnzps3z0lOXX755c5jpmZUmS5duujVV191vjYFVqdMmaIlS5Y4yStT8NxM4TNB3Nlnnx2xc3Gj3zQap8bJXQ4qdm5qSXnk1YDmtyvBQ6IPB7N9WwMWyf9VseTfw+UDamLemwRViJNLGU+IoaJXRqP6un7W1U5Bc09ChZDckpOIOn7QMfq/ScMj2UREqd3FBSr2B/pA79fyGVsL9s02AXAIiK9CLiYKnRv33HOPEhISNHbsWBUUFKhPnz5auHBhpZV7TLJqz559b17Nijxff/21s6T07t27ndFRp5xyirMMdf369SN4Ju6T6EnVsFYP6dvdL2nNnpe1t3SbPEpQ23qnqHujC9Uo+ahINxHRymNGStb0DjlB8mSEqUFADAt25RdWh4k7xFDRa8C5fdWkdZb+Pe01LX5jmVPcvEWHZvq/q4ZrxOVDlZiUGOkmIgqZYuZeyyOfHbj6sqlX1jg5PaztAlyJ+CrkLLviEjc4iKkpZQqem2SX+bQRNfPZJU5SynzKB1THLl0ne8dp1RzhlVLOkKfBvVxIoIa/U6cee70SvDWPSi31FWnhV3fzd60WiAXqhutWO2ZhH7MSH4koBGPy5y/r3U3fVDuF792hV6pdvcZcUKAOiK/CFwfExPQ9xF6dKRJSCIaV0EFKHR1gCp9HspJl1buCiwkEw1+LDUDUMdP4SEghWFd2PVlJngR5q/gQ2OwZ3b4nCSngcCC+CjmSUgAiysqYKqVPkHRAIfOEjrIaPb8vcQUAAIByHepn6bkB45zbipI8Xk3o1E83H0c9MgCxIWZqSgFwJ8vyyqr//2Sn/1Eq+liyC52ElBJ/w4g7oDb/l2zb2YI5DgAQ+45u2EJvDJqor3Zt0o8525WakKSTmh6pjKSUSDcNcA3iq9AjKQUgKlimmHnqGZFuBhC7KMQJAHHHlMw4rlErZwMQAsRXIcf0PQAAAAAAAIQdI6UAAHADPskDAAAgvooxjJQCAAAAAABA2JGUgqvYRUvk33WV/NsGyr99mPy598r2bY50swAgfCOlgtkAoOKvD/8u2XmPy7/jTPm3DZB/5yWyC9+TbZu10AEgjoU4vnrkkUfUvn17paSkqGfPnvr4448DHvvKK69oyJAhatKkiTIyMtS3b1+99957lY55+umnnVpzB26FhYWKViSl4Aq2bcufc7fsXRdLRe9L/s2Sb72U/6TsHcNlFy+NdBMBILT8tdgAYD+7dJ3sHWfIzvuHVPqd5N8qFS+Rvftq2bsnybZLuVYA4lcI46s5c+bo2muv1Y033qgVK1bot7/9rYYPH64NGzZUefxHH33kJKXmzp2r5cuX65RTTtGIESOc51ZkElZbtmyptJmkV7QiKQV3KJwr7Z2x/46vwgN+M3xK9q6Jsv15EWocAABA9DEjoUyMJP+uA95R7f+6aL6U/69INQ8AXG369OkaP368JkyYoK5du+r+++9X69at9eijj1Z5vHn8z3/+s0444QQdddRRuvPOO53bN998s9JxZmRU8+bNK23RjKQUXMHOn1nNj7NJTOVKhW+EuVUAED6WbQe9AYCjeLHk++mAD/QqsmXvnSXbLuGCAYhLtY2vcnJyKm1FRUVVvm5xcbEz2mno0KGV9pv7ixcvDqptfr9fubm5atSoUaX9eXl5atu2rVq1aqUzzzzzoJFU0YakFGKeM6y8dGUNYyY9TOED4G7UlAJQ218bxctqXozbny35NnJtAcSnWsZXZqRTZmZm+XbXXXdV+bI7duyQz+dTs2bNKu0397du3RpU0+677z7l5+dr1KhR5fu6dOni1JV644039MILLzjT9vr376/vv/9e0aqGv0KAm1iRbgAAAECUxUbBjJ4khgKAYGzcuNGp6VQmOTm5+t+ulnVQreQD91XFJJymTp2q119/XU2bNi3ff+KJJzpbGZOQOv744/Xggw/qgQceiMpOZKQUYp5lJUiJPWr4cfbLSuodxlYBQJj57eA3ADAxlBMbBZq6t5+nieRtzfUCEJ9qGV+ZhFTFLVBSKisrS16v96BRUdu2bTto9FRVBdJNLap///vfGjx4cLXHejwepwZVNI+UIikFV7DSL61m+p5HsjKllJFhbhUAAEAUSzpR8naU5A14iJV+yb4PAAEAh+/Xb1KSevbsqfnz51fab+7369ev2hFS48aN0/PPP68zzjijxu9jRl59+eWXatGihaIVf2HgClbKMNnpV0r5D+8PrHwVElJpshr+S5YnLcKtBIAQqlDPoMbjAKBs2kjDx2Tv/L3k31ZhKt/+WCplhJR2CdcKQPwKYXx13XXXaezYserVq5f69u2rJ554Qhs2bNDEiROdx2+44QZt2rRJs2bNKk9IXXTRRfrnP//pTNErG2WVmprq1K8ybr31VucxsyqfKbRupuyZpNTDD5v3ydGJpBRcw1P/GtnJA2TvnS2VfG0yVbJShkipo2V5m0S6eQAQYkEGTUHVjwEQL6yENlLWXKngFdkFb0p2jpTQQVba+VLSgKBqmwCAe4Uuvho9erSys7N12223acuWLerevbvmzp3rrJxnmH0mSVXm8ccfV2lpqa688kpnK3PxxRc7xc2N3bt36w9/+IOTsDKJqh49euijjz5S797RW8rGss14LgRksoumM/fs2VOpYBkAANH0d2pwh0lK8FRfTNMo9RdpwboH+LtWh2tMLFC3n02uGwAg1hBfhS8OYKQUAABuwPQ9AAAA4qsYQ6FzAAAAAAAAhB0jpYBDZNulKilcoJKCN2T7d8uT0E5JaecrIekYri2A8HGWIg5iRv7+JYsBINK2bdiut59YoO+W/6jEpET1Pv14Dfr9SUqtlxrppgHAPsRXIUdSCjgEfv8u5WdfKF/Jyl9XqilerOK9zyop7RKlZt5KgVAA4WH7923BHAcAETbvmUW6b8Kjztd+n9+Jl5a8tUzP3DJH0+b/Ve2P2VfoFwAiivgq5Ji+BxyCvTuvlK9k9f57vkq3xXtnqjj/Ka4vAABABasXr9W9lz7iJKPMZjhrL9lSTnau/jzkdhXkF3LNACAOMFIKqCNfybcqLf642mMK8x5VUvo4WZYZRQUczPbvkQpel126RlKSrJRTpKTfyrL4zAC1RKFzADHipfvekMdryVd68HRik6TavW2PPnjhU50+YVBE2ofoZ5KY3yxfr4/f/kp7cwt1RPsmGnLeCWrUNDPSTYPbEF+FHEkpoI5Kij7cP9gw8FQY2/+L/KXfyZvYleuMg38+Ct+TvXuKGVe3/2fJkl3wvJTQSWo4Q5a3GVcNAOA6n7+zQr7SwPGTmcq39N0VJKVQpfzcQt3+x6f01eLv5U3wOCPsTJJq1vS5+sNN/6ezLhnAlQNiCB/FA3Vlm0SCVfNhdgnXGFX8+Hwle/c1+xNS9v5pn6X7Hiz9UfauS2XbZVNCgSALcQa7AUAE+Uqq//tmEgwlRcRPqNrdk2bp689+2PezVOqXz0wD9dvy+2w9duur+njul1w6HD7EVyFHUgqoI2/isRXqSAVgpcqbcCTXGAex8x/fn9SsKkHgk0q/l4oWceVQ++HlwWwAEEFHHd9BHk/gD/bMY51P6BjWNiE2rP92s5Z+8K2TgAo0yu75B+btq1EGHA7EVyFHUgqoo4Tk38rjbbN/1b2q/3slpY2W5UnnGqMS26ziUfRBDUlNr+yiBVw5AIDrnD3pdGdkSyCW16Ph1JNCFZbMXyWPN/BbWJOM+mnNFm3fvJvrB8QIklJAHZlC1GmNnpCstAMSU+aTP0vexO5KrX891xdVMNP0apqaZ0a0FHD1EDw72E/zuKgAIuvUC07SsEtOcb6uOGLK1AeyPJb+/PRVymrZKIItRLQqKih2RkMFcxxwWBBfhRyFzoFD+Q+UeLQymsxTUf6TKt77imw7Tx5vKyWlX6jktLGyPKlcXxzEspJke4+QfJuqvTqWKXgOBIvVYQDECJNUmPzk5Tp+8G/02oPv6Psv1ikh0asTR/TUuX8awdQ9BNS2cwv5Sqv/YC85NVFNjmjIVcThQXwVciSlgEPkSWil1MypzgYEy0obKzv37gA1pZwjpNRzuaAAANcmpk49/yRnA4J10mm/0aOZqcrPKaiyRKKZ2jd0VB+lpCZxUYEYwfQ9AIiEtAulpD5VrOC4byqolXGrLG/TiDQNMcrvD34DACAGJaUk6vp/jnWSTwfWljJTQY9o30RjrxsesfbBhYivQo6kFABEaAqf1fBJWfUmS55mvz6Q1EtWw5my0kbRL4gpP/30k8aPH6/27dsrNTVVRx55pG655RYVF1eu67FhwwaNGDFC6enpysrK0qRJkw465kBFRUW6+uqrnePN80aOHKmff/45xGcEAIhGvQZ21X0vX6M+g44ur0lWLzNN500cpH+8co3qZ5p6rwBiBdP3ACCCiSnV+4OUfplk50gmUWVRhwyxWfNgzZo18vv9evzxx9WxY0etWrVKl112mfLz83Xvvfc6x/h8Pp1xxhlq0qSJPvnkE2VnZ+viiy92Vkt68MEHA772tddeqzfffFMvvviiGjdurMmTJ+vMM8/U8uXL5fUGWgEVAOBWnY9to5ufuFTFhSUqKixWWv1UeatZlQ+oM2pKhRxJKQCIMGcVGSsz0s1ArItw0HTaaac5W5kOHTpo7dq1evTRR8uTUvPmzdM333yjjRs3qmXLls6+++67T+PGjdMdd9yhjIyMg153z549mjFjhp599lkNHjzY2ffcc8+pdevWWrBggYYNGxaS8wEAxMZ0PrMBIUNSKuRIJ0cpu3S9/Ln3y7/nRvlz/ym7dEOkmwQAQK2YhFKjRr8u675kyRJ17969PCFlmKSSmZ5nRj1VxewvKSnR0KFDy/eZ55vXWbx4MT2CSvx2sTbnvaVvdtyqb3bcpq1578hvl3CVAACIUoyUijK27ZOdc5tU8ML+gsdmnrQtO/8R2WnjZNW/XpZFLhEAcAC/GQFlB3mclJOTU2l3cnKysx0uP/74ozMlz4yEKrN161Y1a1ahhpqkhg0bKikpyXmsKma/edwcV5F5nUDPQXzaU7RaX/wyUcW+bFn7Q9yNuS8qeWcz9Wz+uOondYp0EwEALo+vUHtkN6KMnffP/QkpwyepdP+tLe2dKeU/HuEWAgDcwEx/y8zMLN/uuuuuKo+bOnWqM8W0um3ZsmWVnrN582ZnKt95552nCRMmHDxd9QCmplRV+6tTl+fAvYpKt2vZ1ktV7Nvl3LdV6mzOY74dWrplnIp9uyPcSgAAcCBGSkUR258n5c+s/pj8f0npl8iyUsLWLgBA9LNtv7MFc5xh6jpVrOEUaJTUVVddpTFjxlT7mu3atauUkDrllFPUt29fPfHEE5WOa968uT777LNK+3bt2uVMzztwBFXF55jV+cxxFUdLbdu2Tf369au2XYgfZkRUqT/ffFRdxaM+lfj3aFPuy2rfYHwEWgcAiJf4CrVHUiqaFH9qPs+r/hg7Tyr+XEoeEK5WAQBipRCnP/hC5yYhVVVh8QNlZWU5WzA2bdrkJKR69uypmTNnyuOpPCDbJKpMQfMtW7aoRYsW5cXPTULMPKcqZn9iYqLmz5+vUaNGOfvM883qftOmTQuqXXC/rfnvBUhIlbG1Nf9dklIAgJDGV6g9pu9FE7vg8B4HAECYmBFSAwcOdKYFmtX2tm/f7tR8qlj3yRQr79atm8aOHasVK1bo/fff15QpU3TZZZeVJ8hMYqtLly76/PPPnftmauH48eM1efJk53jzvAsvvFDHHHNM+Wp8gM+/t8aL4LNrPgYAAIQXI6WiScJRQR7XMdQtAQDEGucTush9kmdGPP3www/O1qpVqwO+5b7v6fV69fbbb+uKK65Q//79lZqaqgsuuMBJYpUxU/nWrl2rvXt/TSD84x//UEJCgjNSqqCgQIMGDdLTTz/tvB5g1EvqrMKC7fvrcB7Mktc5BgCAWIqv4gFJqShiJR4tO6GrVLo2wBB0r5TYQ1bCkRFoHQAAgY0bN87ZatKmTRu99dZb1danKktilUlJSXFW8jMbUOXPVcYY7Sj4MODFseVTm/rnc/EAAIgyTN+LMlbmNMlK25eAqsQrWfVkZf4tQi0DAEQ1vz/4DXCZrNQBOqLeufvvVVyVcd/XbepfqIYpvSLSNgBADCO+CjmSUlHGSuwsq/ErUsqICgPZkqSUs2U1flVWQocItxCoGzPywecvOGgEBIDDxPzfCnYDXMayLB2ddau6Nb5FaQlty/enJ7ZX96y/qUvjG5xjgFhUUlzibAAigPgq5Ji+F4WshHayGkyTbd8u+XMlT4YsKynSzQLqpKB0q9bteUo/577mFJn1WmlqVf//dGTmeKUkVL0EPAAAtWWSTq0zRqtV/VEq8e9x9iV6MklGISaZD/EWzVms/0x/U98t+9HZ16nXkTpv8gidPKofP9cAXIOkVBSzrGTJmxzpZgB1ll+yQUs2X+i8OTD1PAyTmNqQM0db8t5V35bPKT2xDVcYOAxsv1+2VfPUPNtm+h7cn5xK8jaIdDOAQ/LkX2br3/e8Lo/n1xF+P3yxTnecf79+WLFeE/5+IVcYCAPiq9Bj+h6AkFm5/aZKCaky5r7Zv3L7X7n6AAAAFXz14WonIWX4/b9OuS77es6017Xyo2+4ZgBcgaQUgJDIK/5Ru4q+OCghVcbs31W03DkOwGFAzQMAcIU3H3lP3oTAb9PMY288/G5Y2wTELeKrkCMpBSAkcorXBnncd/QAcDiYT9CD3QAAUWvtsh/lKw081do89t3ydWFtExC3iK9CjqQUgJDwWilBHkfdNAAAgDIpaTXHRsmpLIIEwB1ISgEIiUapJ8hTQ8LJPN4otTc9ABy24eX+IDZGSgFANOt/dm95vIHfppni5yed0yesbQLiFvFVyJGUAhASiZ76apfxe7MOUoAjLLXLuFCJnnr0AHAY2H476A0AEL3OnDhUyWlJlVbeK2P2JacnO8cACD3iq9BLCMP3AGrFtn3KLVyg3fmvqdS/U0kJbdQo/XylJR/PlYwxnRpOUpFvhzblvSFLXtmyZclyipwfUe8sdWp4daSbCACAa2zbuENzn1igNZ9/L2+iVyec1kNDLjpZ6RlpkW4aaiGrZSP9/d2bdNOIvyt3Z175qCm/z6/0Bun621s3qHGLhlxTAK5AUgpRxeffo/XbL1RB8QpTbcjsUX7Rf7Ur/wU1TD9fRzS8W5bFAL9Y4bESdGyTO9U+4yL9nPe6inzblextqlb1RiojuUukmwe4i5maJ3+QxwFwm/dnf6x7LnnImWlikheWJX3+zgrNmvpv/f29m9Sp55GRbiJqoVvfzpr9v0f1wfOfaOXH3zj7fjPgaJ1yfn+lpgdXtxPAYUB8FXIkpRBVNmZPUkHxyv33fJVuTWIqOaGdmmRcGbH2oW5MAqobSSgAAEJi7dIfdPfFD1aanltWPi5/z179Zdjf9OyPDyk9M50eiCEm+XT6ZYOdDQDciiEniBqFJT8ot/D9Csmog23PfVx+uzis7QKAWEDNAyB+vTT9zSrrDxlm1FTurjzNf/ajsLcLAGId8VXokZRC1MgrXFRNUex9fP6dKiz5NmxtAoCYEdTKe/s3AK7y+dwv5Cut/v/20ndNaQQAQK0QX4Uc0/cQNWy7dH9Syg7iOABARaUqqenX56/HAXAVX0ngUeYOWyotJn4CgNoivgo9klKIGqlJx9ZYpNdSklISjwpbmwAg2iUlJal58+b6ZOvcoJ9jjjfPA+AOnU/oqNWL1zpT9apiVm/r0pv4CQCCRXwVPiSlEDXSk09UcsJRKipdF6CulFcN0s+T15MRgdYBQHRKSUnR+vXrVVxcXKtAyzwPgDucPel0ff1x9eUNKJYNAMEjvgofklKIGpZlqU3WY1q37Xfy+XMPSExZSknsohYNboxgCwEgegMnkkxA/DrpnD4668rT9PrD7zqjospGTHkTzNe2pjx1hZq1bRLpZgJATCG+Cg+SUogqKYmddVSz+dqRN0O78/8jn3+PEhNaqVH6hWpcb6w8nrRINzEq2GYFwpKvJHOb0FGWt1mkmwQAACL4wd6VD1yqYwcerVcfmKu1S3+QN8Gr3mccr99de6a69mHqXplN23Zrwy+7VS81Sd06NJfXw7pPABBJlm3bQZRFjV85OTnKzMzUnj17lJHBtDFElm1Wf8j/l+z8JyV7z/69Hil5kKyMm0lOAUAIEAtw3RD71m/O1rRn3tfyNT+X72vSsJ7+eE4/jRzQPaJtA4B4jp8YKQXEEDvnDqng2QP2+qWihbKzV0tZr8jyNIpQ6wAAAKLP/7bu0vjbXtDeosqrj27flae/zZin/IJinT/s+Ii1DwDiGeNVgRhhl3xfRUKqjE/yb5WdPyPMrQIAAIhuj770iQqKSuT3Vz1B5KF/f6Q9eQVhbxcAgKQUEDPsgpedFQgD80t7/y1m5AIAAOxjkk2LvvhBvgAJKaPU59f8z9ZyyQAgAhgpBcQK/xaTmqr+GKfOVPDLwgMAALhZ9p69AUdIlTHFzrdmm5WfAQDhFhNJqUWLFjmrilS1LV26NODzzIiRqVOnqmXLlkpNTdXAgQO1evXqsLYdOGw8Dc3aBDUclCopiYsOAHAQQyHeZdZLqfEYk7RqWN/EUACAcIuJpFS/fv20ZcuWStuECRPUrl079erVK+Dzpk2bpunTp+uhhx5yklfNmzfXkCFDlJvLJyGIPVbKWftqRwXklVLPdpK1AAAYxFCId40z03VCtzbyeKqPj4b06Ry2NgEAYiwplZSU5CSUyrbGjRvrjTfe0KWXXhrwDbgZJXX//ffrxhtv1DnnnKPu3bvrmWee0d69e/X888+H/RyAQ5Z4nJQ8KMB/W69kpclKH8+FBgCUI4YCpMvP7S/P/lkWVRkz7Hg1bVSfSwUAERATSakDmYTUjh07NG7cuIDHrF+/Xlu3btXQoUPL9yUnJ+vkk0/W4sWLw9RS4PBxpqw2uF9KPefg/7oJHWQ1mi0roTWXHAAQEDEU4lH3I1vogf93jpo1qufcL0tNJSZ4NW5Eb00aPSCi7QOAeJagGDRjxgwNGzZMrVsHfgNuElJGs2bNKu039//3v/8FfF5RUZGzlcnJyTksbQYOB8tKlpV5p+x610hFn5ifWCmhqzOKiml7AICaEEMhXvXq2kav3TtBS7/ZoI2/7FJ6SpL6H9dBGek115wCALh0pJQpQh6ogHnZtmzZskrP+fnnn/Xee+9p/Pjgpikd+EbdTOur7s37XXfdpczMzPKtusQXECmWt5mstN/JSrtAVlIPElIAEGeIoYDaM3Wl+nRvq3MHHafh/buRkAKAeB8pddVVV2nMmDHVHmOKmVc0c+ZMp6bUyJEjq32eqT1VNmKqRYsW5fu3bdt20Oipim644QZdd911lUZKkZgCAADRhBgKAAC4QUSTUllZWc4WLDPKySSlLrroIiUmJlZ7bPv27Z3E1Pz589WjRw9nX3FxsT788EPdfffdAZ9n6k6ZDQAAIFoRQwEAADeIqULnCxcudAqYB5q616VLF7366qvO12aK3rXXXqs777zT2bdq1SqnMHpaWpouuOCCMLccAAAgcoihAABANEqIteKc/fr1U9euXat8fO3atdqzZ0/5/T//+c8qKCjQFVdcoV27dqlPnz6aN2+e6tdnyVcAABA/iKEAAEA0smwzJw4BmZpSpuC5SXZlZGRwpQAAiDPEAlw3AAAQmvgppqbvAQAAAAAAwB1ISgEAAAAAACDsSEoBAAAAAAAg7EhKAQAAAAAAIOxISgEAAAAAACDsSEoBAAAAAAAg7EhKAQAAAAAAIOxISgEAAAAAACDsSEoBAAAAAAAg7EhKAQAAAAAAIOxISgEAAAAAACDsEsL/LWOLbdvObU5OTqSbAgAAIqAsBiiLCRAcYigAAOJXTpDxE0mpGuTm5jq3rVu3Plx9AwAAYjQmyMzMjHQzYgYxFAAAyK0hfrJsPvarlt/v1+bNm1W/fn1ZllWrrKBJZG3cuFEZGRmu/0nkfN0tnvo3ns7V4HzdLZ76N5TnakIlE1C1bNlSHg+VD4JFDBUc/p+6Vzz1rcH5uhd96245IfpdFWz8xEipGpiL16pVqzp3hOnUePgjVIbzdbd46t94OleD83W3eOrfUJ0rI6Rqjxiqdvh/6l7x1LcG5+te9K27ZYTgd1Uw8RMf9wEAAAAAACDsSEoBAAAAAAAg7EhKhUhycrJuueUW5zYecL7uFk/9G0/nanC+7hZP/RtP5+p28daX8XS+8XSuBufrbvHUv/F0rgbnG14UOgcAAAAAAEDYMVIKAAAAAAAAYUdSCgAAAAAAAGFHUgoAAAAAAABhR1LqMFm0aJEsy6pyW7p0acDn2batqVOnqmXLlkpNTdXAgQO1evVqxYq3335bffr0cdqelZWlc845p9rjx40bd9D1OfHEE+XW843V/m3Xrt1B/fSXv/zFtX1bl/ON1b6tqKioSMcdd5xzvl9++aVr+7e25xrLfTty5Ei1adNGKSkpatGihcaOHavNmze7tm/rcr6x3L9uFY8xFPGTO+MngxjK/TFUPMVPBjGU+/p3ZLTFTzYOi6KiInvLli2VtgkTJtjt2rWz/X5/wOf9/e9/t+vXr2+//PLL9tdff22PHj3abtGihZ2TkxP1PfOf//zHbtiwof3oo4/aa9eutdesWWO/9NJL1T7n4osvtk877bRK1yk7O9uOBXU531jt37Zt29q33XZbpX7Kzc11bd/W5XxjtW8rmjRpkj18+HDb/ClYsWKFa/u3tucay307ffp0e8mSJfZPP/1kf/rpp3bfvn2dza19W5fzjeX+dat4i6GIn9wbPxnEUO6PoeIpfjKIodzXv9OjLH4iKRUixcXFdtOmTZ03uoGYQKt58+ZOB5cpLCy0MzMz7ccee8yOZiUlJfYRRxxhP/nkk7V6nvmPe9ZZZ9mxpi7nG8v9awKqf/zjH3HRt3U531ju2zJz5861u3TpYq9evTrooCpW+7c25+qGvq3o9ddfty3Lcv4mubFva3u+butft3JzDEX8VLNY7dsyxFDu7t94ip8MYqj4iKFej3D8xPS9EHnjjTe0Y8cOZ0hfIOvXr9fWrVs1dOjQ8n3Jyck6+eSTtXjxYkWzL774Qps2bZLH41GPHj2cYX/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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "y_log = True\n", + "x_name = \"log(K_s)\"\n", + "y_name = \"log(h_l)\"\n", + "c_name = f\"log(residual_{t_residual:.0f})\"\n", + "Y_plot = [Y[c_name] if y_log is True else np.power(10, Y[c_name]), Y[\"tau_exp\"].values]\n", + "\n", + "fig,axs = plt.subplots(1,2, figsize=(12,6))\n", + "plt.sca(axs[0])\n", + "plt.scatter(X[x_name], X[y_name], c=Y_plot[0], cmap=\"viridis\", vmin=Y_plot[0].min(), vmax=Y_plot[0].max())\n", + "\n", + "plt.title(f\"{FOLDER} - {\"log\" if y_log else \"\"} residual after {t_residual:.0f}\")\n", + "\n", + "plt.xlabel(x_name)\n", + "plt.ylabel(y_name)\n", + "plt.colorbar(cax=fig.add_axes([0.42, 0.15, 0.01, 0.7]))\n", + "\n", + "plt.sca(axs[1])\n", + "plt.scatter(X[x_name], X[y_name], c=Y_plot[1], cmap=\"viridis\", vmin=Y_plot[1].min(), vmax=Y_plot[1].max())\n", + "\n", + "plt.title(f\"{FOLDER} - tau exp [s]\")\n", + "\n", + "plt.xlabel(x_name)\n", + "plt.ylabel(y_name)\n", + "\n", + "plt.colorbar(cax=fig.add_axes([0.92, 0.15, 0.01, 0.7]))\n", + "fig.tight_layout()\n", + "plt.savefig(FOLDER / \"postprocessing\" / \"scatter.png\")\n", + "\n", + "# plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b3664fc7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "PP_data = pd.read_csv(FOLDER / \"PP_numbers.csv\")\n", + "\n", + "plt.hist(np.log10(PP_data[\"PP_number\"].values), bins=20, edgecolor='black', alpha=0.7)\n", + "plt.vlines(np.log10(0.1), ymin=0, ymax=plt.gca().get_ylim()[1], colors=\"red\", linestyles=\"dashed\", label=\"SPP limit\")\n", + "plt.title(f\"{FOLDER} - Pi number distribution, n={len(PP_data)}\")\n", + "plt.xlabel(\"log10(Pi)\")\n", + "plt.ylabel(\"# samples\")\n", + "plt.legend()\n", + "plt.savefig(FOLDER / \"postprocessing\" / \"PI_distrib.png\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "803b3138", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "PP range: 7.51e-05 - 2.79e+03\n" + ] + } + ], + "source": [ + "\"\"\" PP number range from input parameters range\"\"\"\n", + "\n", + "parameters_range={\n", + " \"log(h_l)\": tuple(np.log10((1e-4, 1e-2))),\n", + " \"log(eps_g)\": tuple(np.log10((1e-4, 2e-1))),\n", + " \"a\": (0.05, 0.5),\n", + " \"temperature\": (450, 800),\n", + " \"log(K_s)\": tuple(np.log10((1e-3, 1e-0))),\n", + " \"u_g0\": (0.02, 0.4),\n", + " }\n", + "p = parameters_range\n", + "PP_max = 8.314 * (np.max(p[\"temperature\"])+273) * 10**np.max(p[\"log(K_s)\"]) * 10**np.max(p[\"log(h_l)\"]) * np.max(p[\"a\"]) * 1 / ((1-10**np.max(p[\"log(eps_g)\"])) * np.min(p[\"u_g0\"]))\n", + "PP_min = 8.314 * (np.min(p[\"temperature\"])+273) * 10**np.min(p[\"log(K_s)\"]) * 10**np.min(p[\"log(h_l)\"]) * np.min(p[\"a\"]) * 1 / ((1-10**np.min(p[\"log(eps_g)\"])) * np.max(p[\"u_g0\"]))\n", + "print(f\"PP range: {PP_min:.2e} - {PP_max:.2e}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "cd9e3e57", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Monte Carlo samples: 50000\n", + "\n", + "==================================================\n", + "PP STATISTICS\n", + "==================================================\n", + " Min: 6.16e-03\n", + " Max: 9.40e+01\n", + " Mean: 2.56e+00\n", + " Std: 4.94e+00\n", + " Median: 7.97e-01\n", + " log10 range: [-2.21, 1.97]\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "def monte_carlo_pp_sample(parameters_range, n_samples=10000):\n", + " R = 8.314 # Gas constant J/(mol·K)\n", + " \n", + " # Initialize storage for samples\n", + " samples = {key: np.zeros(n_samples) for key in parameters_range.keys()}\n", + " # Sample uniformly from each parameter range\n", + " for param, (min_val, max_val) in parameters_range.items():\n", + " samples[param] = np.random.uniform(min_val, max_val, n_samples)\n", + " \n", + " # Compute PP for each sample\n", + " Pi_values = (\n", + " R * \n", + " (samples[\"temperature\"] + 273) * \n", + " 10**samples[\"log(K_s)\"] * \n", + " 10**samples[\"log(h_l)\"] * \n", + " # 10**samples[\"log(a)\"] / \n", + " samples[\"a\"] /\n", + " ((1 - 10**samples[\"log(eps_g)\"]) * samples[\"u_g0\"])\n", + " )\n", + " \n", + " return Pi_values, samples\n", + "\n", + "\n", + "parameters_range={\n", + " \"log(h_l)\": tuple(np.log10((1e-3, 1e-2))),\n", + " \"log(eps_g)\": tuple(np.log10((1e-4, 2e-1))),\n", + " \"a\": (0.05, 0.3),\n", + " \"temperature\": (700, 800),\n", + " \"log(K_s)\": tuple(np.log10((1e-3, 1e-1))),\n", + " \"u_g0\": (0.02, 0.1),\n", + "}\n", + "\n", + "# parameters_range={\n", + "# \"log(h_l)\": tuple(np.log10((1e-7, 1e-4))),\n", + "# \"log(eps_g)\": tuple(np.log10((1e-4, 2e-1))),\n", + "# \"log(a)\": tuple(np.log10((1e-2, 1e2))),\n", + "# \"temperature\": (450, 800),\n", + "# \"log(K_s)\": tuple(np.log10((1e-7, 1e-3))),\n", + "# \"u_g0\": (0.02, 0.4),\n", + "# \"E_l\": tuple(np.log10((1e-3, 1e0))),\n", + "# \"E_g\": tuple(np.log10((1e-4, 1e-1))),\n", + "# \"P_bottom\": (1, 10),\n", + "# }\n", + "\n", + "# Run Monte Carlo\n", + "n_samples = 50000\n", + "pp_values, samples = monte_carlo_pp_sample(parameters_range, n_samples)\n", + "\n", + "# Statistics\n", + "print(f\"Monte Carlo samples: {n_samples}\")\n", + "print(f\"\\n{'='*50}\")\n", + "print(f\"PP STATISTICS\")\n", + "print(f\"{'='*50}\")\n", + "print(f\" Min: {np.min(pp_values):.2e}\")\n", + "print(f\" Max: {np.max(pp_values):.2e}\")\n", + "print(f\" Mean: {np.mean(pp_values):.2e}\")\n", + "print(f\" Std: {np.std(pp_values):.2e}\")\n", + "print(f\" Median: {np.median(pp_values):.2e}\")\n", + "print(f\" log10 range: [{np.log10(np.min(pp_values)):.2f}, {np.log10(np.max(pp_values)):.2f}]\")\n", + "\n", + "# Visualization\n", + "fig_MC, ax = plt.subplots()\n", + "\n", + "# PP distribution (log scale)\n", + "ax.hist(np.log10(pp_values), bins=20,edgecolor='black', alpha=0.7)\n", + "# ax.hist(pp_values, bins=50, range=(0,10),edgecolor='black', alpha=0.7)\n", + "\n", + "ax.set_xlabel(\"log10(Pi)\")\n", + "ax.set_ylabel(\"Frequency\")\n", + "ax.set_title(f\"{FOLDER} - Predicted Pi Distribution\")\n", + "ax.grid(alpha=0.3)\n", + "ax.vlines(np.log10(0.1), ymin=0, ymax=plt.gca().get_ylim()[1], colors=\"red\", linestyles=\"dashed\", label=\"SPP limit\")\n", + "# ax.vlines(0.1, ymin=0, ymax=plt.gca().get_ylim()[1], colors=\"red\", linestyles=\"dashed\", label=\"SPP limit\")\n", + "\n", + "ax.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "02a6baa6", + "metadata": {}, + "outputs": [], + "source": [ + "# fig_MC.savefig(FOLDER / \"postprocessing\" / \"PI_monte_carlo.png\", dpi=150)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "721935eb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Diagnostic for sample 5: PP=1.3028055800782978e-06, residual=2.90e-12\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\"\"\" sample inspection\"\"\"\n", + "from sparging.model import SimulationResults\n", + "from sparging.config import ureg\n", + "import sparging.postprocess as pp\n", + "\n", + "idxs = np.argwhere(PP_data[\"PP_number\"].values > 1)\n", + "# idx = idxs[0,0]\n", + "idx = 5\n", + "print(f\"Diagnostic for sample {idx}: PP={PP_data['PP_number'].values[idx]}, residual={10**Y[f'log(residual_{t_residual:.0f})'].values[idx]:.2e}\")\n", + "sim_result = SimulationResults.from_json(FOLDER/\"samples\"/f\"sample_{idx}.json\")\n", + "\n", + "fig, axs = plt.subplots(1,2, figsize=(14,5))\n", + "secax0 = axs[0].twinx()\n", + "secax1 = axs[1].twinx()\n", + "lns1 = axs[0].plot(sim_result.times, sim_result.n_T2_salt_series, label=\"T2 inventory\")\n", + "lns2 = secax0.plot(sim_result.times, sim_result.fluxes_T2, color=\"red\", linestyle=\":\", label=\"T2 extraction rate\")\n", + "lns = lns1 + lns2 \n", + "labels = [l.get_label() for l in lns]\n", + "axs[0].legend(lns, labels)\n", + "axs[0].xaxis.set_units(ureg.day)\n", + "\n", + "for t in [8, 9, 10, 11]*ureg.hour:\n", + " idx_to_plot = pp.idx_from_t(sim_result.times, t)\n", + " time = sim_result.times[idx_to_plot].to(t.units)\n", + " axs[1].plot(sim_result.x_ct, sim_result.c_T2_profiles[idx_to_plot], label=f\"{time:.1f}\")\n", + " secax1.plot(sim_result.x_ct, sim_result.y_T2_profiles[idx_to_plot], linestyle=\"--\", alpha=0.5)\n", + "axs[1].set_ylim(0)\n", + "axs[1].set_title(\"c_T2 (left) - y_T2 (right)\")\n", + "axs[1].legend()\n", + "fig.suptitle(f\"{FOLDER} - sample {idx} - PP={PP_data['PP_number'].values[idx]:.2f}, residual={10**Y[f'log(residual_{t_residual:.0f})'].values[idx]:.2e}, h_l={10**X['log(h_l)'].values[idx]:.2e}, K_s={10**X['log(K_s)'].values[idx]:.2e}\")\n", + "fig.tight_layout()\n", + "\n", + "FOLDER_PP = FOLDER / \"postprocessing\"\n", + "FOLDER_PP.mkdir(exist_ok=True)\n", + "fig.savefig(FOLDER_PP / f\"diagnostic_sample_{idx}.png\", dpi=150)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "50166b05", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0.98, 'sample 5, tau = 22766.58 second, n0=2.42e-12 molT2')" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\"\"\" plot fit of sample \"\"\"\n", + "t_0 = 8 * ureg.hour\n", + "t_plot = 32 * ureg.hour\n", + "idx_0 = pp.idx_from_t(sim_result.times, t_0)\n", + "idx_plot = pp.idx_from_t(sim_result.times, t_plot)\n", + "\n", + "tau_exp = PP_data[\"tau_exp\"].values[idx] * ureg.second\n", + "n0 = sim_result.n_T2_salt_series[idx_0]\n", + "\n", + "fig,ax = plt.subplots(1,1)\n", + "ax.plot(sim_result.times[:idx_plot+1], sim_result.n_T2_salt_series[:idx_plot+1], label=\"T2 inventory\")\n", + "t_fit = np.linspace(8 * ureg.hour, t_plot, 100)\n", + "ax.plot(t_fit, n0 * np.exp(-(t_fit-t_0) / tau_exp), label=\"Fitted exp decay\", linestyle=\"--\")\n", + "ax.legend()\n", + "ax.xaxis.set_units(ureg.hour)\n", + "ax.grid()\n", + "\n", + "fig.suptitle(f\"sample {idx}, tau = {tau_exp.to('s'):.2f}, n0={n0:.2e}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "78ac6115", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'datasets/20260424_131925 - log residual after 7 day')" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "y_log = True\n", + "x_name = \"log(K_s)\"\n", + "y_name = \"log(h_l)\"\n", + "c_name = f\"log(residual_{t_residual:.0f})\"\n", + "Y_plot = [Y[c_name] if y_log is True else np.power(10, Y[c_name]), Y[\"tau_exp\"].values]\n", + "\n", + "fig,axs = plt.subplots(1,1, figsize=(12,6))\n", + "\n", + "plt.scatter(X[\"log(h_l)\"], Y[\"tau_exp\"])\n", + "\n", + "plt.title(f\"{FOLDER} - {\"log\" if y_log else \"\"} residual after {t_residual:.0f}\")\n", + "\n", + "# plt.savefig(FOLDER / \"postprocessing\" / \"scatter.png\")\n", + "\n", + "# plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "autoemulate_env", + "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": "3.12.13" + } }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "y_log = True\n", - "x_name = \"log(K_s)\"\n", - "y_name = \"log(h_l)\"\n", - "c_name = f\"log(residual_{t_residual:.0f})\"\n", - "Y_plot = [Y[c_name] if y_log is True else np.power(10, Y[c_name]), Y[\"tau_exp\"].values]\n", - "\n", - "fig,axs = plt.subplots(1,2, figsize=(12,6))\n", - "plt.sca(axs[0])\n", - "plt.scatter(X[x_name], X[y_name], c=Y_plot[0], cmap=\"viridis\", vmin=Y_plot[0].min(), vmax=Y_plot[0].max())\n", - "\n", - "plt.title(f\"{FOLDER} - {\"log\" if y_log else \"\"} residual after {t_residual:.0f}\")\n", - "\n", - "plt.xlabel(x_name)\n", - "plt.ylabel(y_name)\n", - "plt.colorbar(cax=fig.add_axes([0.42, 0.15, 0.01, 0.7]))\n", - "\n", - "plt.sca(axs[1])\n", - "plt.scatter(X[x_name], X[y_name], c=Y_plot[1], cmap=\"viridis\", vmin=Y_plot[1].min(), vmax=Y_plot[1].max())\n", - "\n", - "plt.title(f\"{FOLDER} - tau exp [s]\")\n", - "\n", - "plt.xlabel(x_name)\n", - "plt.ylabel(y_name)\n", - "\n", - "plt.colorbar(cax=fig.add_axes([0.92, 0.15, 0.01, 0.7]))\n", - "fig.tight_layout()\n", - "plt.savefig(FOLDER / \"postprocessing\" / \"scatter.png\")\n", - "\n", - "# plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "b3664fc7", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "PP_data = pd.read_csv(FOLDER / \"PP_numbers.csv\")\n", - "\n", - "plt.hist(np.log10(PP_data[\"PP_number\"].values), bins=20, edgecolor='black', alpha=0.7)\n", - "plt.vlines(np.log10(0.1), ymin=0, ymax=plt.gca().get_ylim()[1], colors=\"red\", linestyles=\"dashed\", label=\"SPP limit\")\n", - "plt.title(f\"{FOLDER} - Pi number distribution, n={len(PP_data)}\")\n", - "plt.xlabel(\"log10(Pi)\")\n", - "plt.ylabel(\"# samples\")\n", - "plt.legend()\n", - "plt.savefig(FOLDER / \"postprocessing\" / \"PI_distrib.png\")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "803b3138", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "PP range: 7.51e-05 - 2.79e+03\n" - ] - } - ], - "source": [ - "\"\"\" PP number range from input parameters range\"\"\"\n", - "\n", - "parameters_range={\n", - " \"log(h_l)\": tuple(np.log10((1e-4, 1e-2))),\n", - " \"log(eps_g)\": tuple(np.log10((1e-4, 2e-1))),\n", - " \"a\": (0.05, 0.5),\n", - " \"temperature\": (450, 800),\n", - " \"log(K_s)\": tuple(np.log10((1e-3, 1e-0))),\n", - " \"u_g0\": (0.02, 0.4),\n", - " }\n", - "p = parameters_range\n", - "PP_max = 8.314 * (np.max(p[\"temperature\"])+273) * 10**np.max(p[\"log(K_s)\"]) * 10**np.max(p[\"log(h_l)\"]) * np.max(p[\"a\"]) * 1 / ((1-10**np.max(p[\"log(eps_g)\"])) * np.min(p[\"u_g0\"]))\n", - "PP_min = 8.314 * (np.min(p[\"temperature\"])+273) * 10**np.min(p[\"log(K_s)\"]) * 10**np.min(p[\"log(h_l)\"]) * np.min(p[\"a\"]) * 1 / ((1-10**np.min(p[\"log(eps_g)\"])) * np.max(p[\"u_g0\"]))\n", - "print(f\"PP range: {PP_min:.2e} - {PP_max:.2e}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "cd9e3e57", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Monte Carlo samples: 50000\n", - "\n", - "==================================================\n", - "PP STATISTICS\n", - "==================================================\n", - " Min: 6.16e-03\n", - " Max: 9.40e+01\n", - " Mean: 2.56e+00\n", - " Std: 4.94e+00\n", - " Median: 7.97e-01\n", - " log10 range: [-2.21, 1.97]\n" - ] - }, - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "def monte_carlo_pp_sample(parameters_range, n_samples=10000):\n", - " R = 8.314 # Gas constant J/(mol·K)\n", - " \n", - " # Initialize storage for samples\n", - " samples = {key: np.zeros(n_samples) for key in parameters_range.keys()}\n", - " # Sample uniformly from each parameter range\n", - " for param, (min_val, max_val) in parameters_range.items():\n", - " samples[param] = np.random.uniform(min_val, max_val, n_samples)\n", - " \n", - " # Compute PP for each sample\n", - " Pi_values = (\n", - " R * \n", - " (samples[\"temperature\"] + 273) * \n", - " 10**samples[\"log(K_s)\"] * \n", - " 10**samples[\"log(h_l)\"] * \n", - " # 10**samples[\"log(a)\"] / \n", - " samples[\"a\"] /\n", - " ((1 - 10**samples[\"log(eps_g)\"]) * samples[\"u_g0\"])\n", - " )\n", - " \n", - " return Pi_values, samples\n", - "\n", - "\n", - "parameters_range={\n", - " \"log(h_l)\": tuple(np.log10((1e-3, 1e-2))),\n", - " \"log(eps_g)\": tuple(np.log10((1e-4, 2e-1))),\n", - " \"a\": (0.05, 0.3),\n", - " \"temperature\": (700, 800),\n", - " \"log(K_s)\": tuple(np.log10((1e-3, 1e-1))),\n", - " \"u_g0\": (0.02, 0.1),\n", - "}\n", - "\n", - "# parameters_range={\n", - "# \"log(h_l)\": tuple(np.log10((1e-7, 1e-4))),\n", - "# \"log(eps_g)\": tuple(np.log10((1e-4, 2e-1))),\n", - "# \"log(a)\": tuple(np.log10((1e-2, 1e2))),\n", - "# \"temperature\": (450, 800),\n", - "# \"log(K_s)\": tuple(np.log10((1e-7, 1e-3))),\n", - "# \"u_g0\": (0.02, 0.4),\n", - "# \"E_l\": tuple(np.log10((1e-3, 1e0))),\n", - "# \"E_g\": tuple(np.log10((1e-4, 1e-1))),\n", - "# \"P_bottom\": (1, 10),\n", - "# }\n", - "\n", - "# Run Monte Carlo\n", - "n_samples = 50000\n", - "pp_values, samples = monte_carlo_pp_sample(parameters_range, n_samples)\n", - "\n", - "# Statistics\n", - "print(f\"Monte Carlo samples: {n_samples}\")\n", - "print(f\"\\n{'='*50}\")\n", - "print(f\"PP STATISTICS\")\n", - "print(f\"{'='*50}\")\n", - "print(f\" Min: {np.min(pp_values):.2e}\")\n", - "print(f\" Max: {np.max(pp_values):.2e}\")\n", - "print(f\" Mean: {np.mean(pp_values):.2e}\")\n", - "print(f\" Std: {np.std(pp_values):.2e}\")\n", - "print(f\" Median: {np.median(pp_values):.2e}\")\n", - "print(f\" log10 range: [{np.log10(np.min(pp_values)):.2f}, {np.log10(np.max(pp_values)):.2f}]\")\n", - "\n", - "# Visualization\n", - "fig_MC, ax = plt.subplots()\n", - "\n", - "# PP distribution (log scale)\n", - "ax.hist(np.log10(pp_values), bins=20,edgecolor='black', alpha=0.7)\n", - "# ax.hist(pp_values, bins=50, range=(0,10),edgecolor='black', alpha=0.7)\n", - "\n", - "ax.set_xlabel(\"log10(Pi)\")\n", - "ax.set_ylabel(\"Frequency\")\n", - "ax.set_title(f\"{FOLDER} - Predicted Pi Distribution\")\n", - "ax.grid(alpha=0.3)\n", - "ax.vlines(np.log10(0.1), ymin=0, ymax=plt.gca().get_ylim()[1], colors=\"red\", linestyles=\"dashed\", label=\"SPP limit\")\n", - "# ax.vlines(0.1, ymin=0, ymax=plt.gca().get_ylim()[1], colors=\"red\", linestyles=\"dashed\", label=\"SPP limit\")\n", - "\n", - "ax.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "02a6baa6", - "metadata": {}, - "outputs": [], - "source": [ - "# fig_MC.savefig(FOLDER / \"postprocessing\" / \"PI_monte_carlo.png\", dpi=150)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "721935eb", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Diagnostic for sample 5: PP=1.3028055800782978e-06, residual=2.90e-12\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "\"\"\" sample inspection\"\"\"\n", - "from sparging.model import SimulationResults\n", - "from sparging.config import ureg\n", - "import sparging.postprocess as pp\n", - "\n", - "idxs = np.argwhere(PP_data[\"PP_number\"].values > 1)\n", - "# idx = idxs[0,0]\n", - "idx = 5\n", - "print(f\"Diagnostic for sample {idx}: PP={PP_data['PP_number'].values[idx]}, residual={10**Y[f'log(residual_{t_residual:.0f})'].values[idx]:.2e}\")\n", - "sim_result = SimulationResults.from_json(FOLDER/\"samples\"/f\"sample_{idx}.json\")\n", - "\n", - "fig, axs = plt.subplots(1,2, figsize=(14,5))\n", - "secax0 = axs[0].twinx()\n", - "secax1 = axs[1].twinx()\n", - "lns1 = axs[0].plot(sim_result.times, sim_result.inventories_T2_salt, label=\"T2 inventory\")\n", - "lns2 = secax0.plot(sim_result.times, sim_result.fluxes_T2, color=\"red\", linestyle=\":\", label=\"T2 extraction rate\")\n", - "lns = lns1 + lns2 \n", - "labels = [l.get_label() for l in lns]\n", - "axs[0].legend(lns, labels)\n", - "axs[0].xaxis.set_units(ureg.day)\n", - "\n", - "for t in [8, 9, 10, 11]*ureg.hour:\n", - " idx_to_plot = pp.idx_from_t(sim_result.times, t)\n", - " time = sim_result.times[idx_to_plot].to(t.units)\n", - " axs[1].plot(sim_result.x_ct, sim_result.c_T2_solutions[idx_to_plot], label=f\"{time:.1f}\")\n", - " secax1.plot(sim_result.x_ct, sim_result.y_T2_solutions[idx_to_plot], linestyle=\"--\", alpha=0.5)\n", - "axs[1].set_ylim(0)\n", - "axs[1].set_title(\"c_T2 (left) - y_T2 (right)\")\n", - "axs[1].legend()\n", - "fig.suptitle(f\"{FOLDER} - sample {idx} - PP={PP_data['PP_number'].values[idx]:.2f}, residual={10**Y[f'log(residual_{t_residual:.0f})'].values[idx]:.2e}, h_l={10**X['log(h_l)'].values[idx]:.2e}, K_s={10**X['log(K_s)'].values[idx]:.2e}\")\n", - "fig.tight_layout()\n", - "\n", - "FOLDER_PP = FOLDER / \"postprocessing\"\n", - "FOLDER_PP.mkdir(exist_ok=True)\n", - "fig.savefig(FOLDER_PP / f\"diagnostic_sample_{idx}.png\", dpi=150)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "50166b05", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0.98, 'sample 5, tau = 22766.58 second, n0=2.42e-12 molT2')" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "\"\"\" plot fit of sample \"\"\"\n", - "t_0 = 8 * ureg.hour\n", - "t_plot = 32 * ureg.hour\n", - "idx_0 = pp.idx_from_t(sim_result.times, t_0)\n", - "idx_plot = pp.idx_from_t(sim_result.times, t_plot)\n", - "\n", - "tau_exp = PP_data[\"tau_exp\"].values[idx] * ureg.second\n", - "n0 = sim_result.inventories_T2_salt[idx_0]\n", - "\n", - "fig,ax = plt.subplots(1,1)\n", - "ax.plot(sim_result.times[:idx_plot+1], sim_result.inventories_T2_salt[:idx_plot+1], label=\"T2 inventory\")\n", - "t_fit = np.linspace(8 * ureg.hour, t_plot, 100)\n", - "ax.plot(t_fit, n0 * np.exp(-(t_fit-t_0) / tau_exp), label=\"Fitted exp decay\", linestyle=\"--\")\n", - "ax.legend()\n", - "ax.xaxis.set_units(ureg.hour)\n", - "ax.grid()\n", - "\n", - "fig.suptitle(f\"sample {idx}, tau = {tau_exp.to('s'):.2f}, n0={n0:.2e}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "78ac6115", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'datasets/20260424_131925 - log residual after 7 day')" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "\n", - "y_log = True\n", - "x_name = \"log(K_s)\"\n", - "y_name = \"log(h_l)\"\n", - "c_name = f\"log(residual_{t_residual:.0f})\"\n", - "Y_plot = [Y[c_name] if y_log is True else np.power(10, Y[c_name]), Y[\"tau_exp\"].values]\n", - "\n", - "fig,axs = plt.subplots(1,1, figsize=(12,6))\n", - "\n", - "plt.scatter(X[\"log(h_l)\"], Y[\"tau_exp\"])\n", - "\n", - "plt.title(f\"{FOLDER} - {\"log\" if y_log else \"\"} residual after {t_residual:.0f}\")\n", - "\n", - "# plt.savefig(FOLDER / \"postprocessing\" / \"scatter.png\")\n", - "\n", - "# plt.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "autoemulate_env", - "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": "3.12.13" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file diff --git a/examples/sensitivity.py b/examples/sensitivity.py index 23ec23c..d84ad0b 100644 --- a/examples/sensitivity.py +++ b/examples/sensitivity.py @@ -82,16 +82,16 @@ def _forward(self, x: torch.Tensor) -> torch.Tensor: self.counter += 1 residual_fraction = pp.get_residual_fraction( - sim_output.inventories_T2_salt, + sim_output.n_T2_salt_series, sim_output.times, t_irr, t_irr + t_sparging, ) tau_real = pp.get_tau_real( - sim_output.inventories_T2_salt, sim_output.times, t_0=t_irr + sim_output.n_T2_salt_series, sim_output.times, t_0=t_irr ) (tau_exp, _), _ = pp.fit_exp( - sim_output.inventories_T2_salt, + sim_output.n_T2_salt_series, sim_output.times, t_0=t_irr, t_end=t_irr + t_sparging, diff --git a/examples/sparging101.py b/examples/sparging101.py index 90a8a65..664cf60 100644 --- a/examples/sparging101.py +++ b/examples/sparging101.py @@ -48,7 +48,6 @@ def profile_source_T(z: pint.Quantity | list[float], height: pint.Quantity = Non my_simulation = Simulation( my_input, t_final=t_final, - profile_pressure_hydrostatic=True, ) if __name__ == "__main__": @@ -56,11 +55,11 @@ def profile_source_T(z: pint.Quantity | list[float], height: pint.Quantity = Non # my_simulation.sim_input.E_l *= 1e-5 output = my_simulation.solve(fast_solve=True) popt, pcov = pp.fit_exp( - output.inventories_T2_salt, output.times, 0 * ureg.s, t_irr, phase="rampup" + output.n_T2_salt_series, output.times, 0 * ureg.s, t_irr, phase="rampup" ) print(f"Fitted parameters: n0 = {popt[1]}, tau = {popt[0].to('h')}") popt, pcov = pp.fit_exp( - output.inventories_T2_salt, output.times, t_irr, t_final, phase="decay" + output.n_T2_salt_series, output.times, t_irr, t_final, phase="decay" ) print(f"Fitted parameters: n0 = {popt[1]}, tau = {popt[0].to('h')}") animation.create_animation(output, show_activity=False) diff --git a/examples/sparging_LIBRA1L.py b/examples/sparging_LIBRA1L.py index 27c7a43..69ec405 100644 --- a/examples/sparging_LIBRA1L.py +++ b/examples/sparging_LIBRA1L.py @@ -16,7 +16,7 @@ my_simulation = Simulation( my_input, t_final=2 * ureg.days, - profile_pressure_hydrostatic=False, + constant_profiles=True, ) if __name__ == "__main__": diff --git a/examples/sparging_LIBRA_Pi.py b/examples/sparging_LIBRA_Pi.py index 2a96437..9e1e486 100644 --- a/examples/sparging_LIBRA_Pi.py +++ b/examples/sparging_LIBRA_Pi.py @@ -32,7 +32,6 @@ my_simulation = Simulation( my_input, t_final=4 * ureg.days, - profile_pressure_hydrostatic=True, ) if __name__ == "__main__": diff --git a/examples/sparging_standard.py b/examples/sparging_standard.py index a0a4dc1..5dcd73c 100644 --- a/examples/sparging_standard.py +++ b/examples/sparging_standard.py @@ -31,20 +31,21 @@ # standard_input.signal_irr = lambda t: 1 if t <= 24 * ureg.hours else 0 standard_input.signal_irr = lambda t: 1 # standard_input.profile_source_T = lambda z: 1 - z * ureg.m / standard_input.height -standard_input.c_T2_0 = 3e-11 * ureg.molT2 / ureg.m**3 +standard_input.c_T2_init = 3e-11 * ureg.molT2 / ureg.m**3 my_simulation = Simulation( standard_input, t_final=6 * ureg.days, - profile_pressure_hydrostatic=True, dispersion_on=True, + constant_profiles=False, ) standard_input.to_json(FOLDER / "intermediate_params.json") breakpoint() if __name__ == "__main__": - # my_simulation.exports = ["pressure", "J_T2"] + my_simulation.exports = ["P_g", "a", "aJ_T2"] output = my_simulation.solve(fast_solve=True) + output.exports_to_csv(FOLDER) # save output to file output.to_json(FOLDER / "params.json") diff --git a/src/sparging/__init__.py b/src/sparging/__init__.py index 157f36f..818074f 100644 --- a/src/sparging/__init__.py +++ b/src/sparging/__init__.py @@ -22,6 +22,7 @@ from .input_examples import ( get_sim_input_LIBRA1L, get_sim_input_standard, + get_sim_input_malara, LIBRA_PI_GEOM, LIBRA_PI_MAT, LIBRA_PI_OPERATING_PARAMS, diff --git a/src/sparging/animation.py b/src/sparging/animation.py index 12c52c8..b11a98f 100644 --- a/src/sparging/animation.py +++ b/src/sparging/animation.py @@ -37,42 +37,42 @@ def __init__( Vertical spacing between subplots """ self.times_hr = results.times.to("hour").magnitude - self.c_T2_solutions = results.c_T2_solutions.to("molT2/m^3").magnitude - self.y_T2_solutions = results.y_T2_solutions.to("dimensionless").magnitude + self.c_T2_profiles = results.c_T2_profiles.to("molT2/m^3").magnitude + self.y_T2_profiles = results.y_T2_profiles.to("dimensionless").magnitude self.x_ct = results.x_ct.to("m").magnitude self.x_y = results.x_y.to("m").magnitude - self.inventories_T2_salt = results.inventories_T2_salt.to("molT2").magnitude - self.source_T2 = ( + self.n_T2_salt_series = results.n_T2_salt_series.to("molT2").magnitude + self.source_T2_series = ( None - if results.sources_T2 is None - else results.sources_T2.to("molT2/s").magnitude + if results.sources_T2_series is None + else results.sources_T2_series.to("molT2/s").magnitude ) - self.fluxes_T2 = ( + self.ndot_T2_series = ( None - if results.fluxes_T2 is None - else results.fluxes_T2.to("molT2/s").magnitude + if results.ndot_T2_series is None + else results.ndot_T2_series.to("molT2/s").magnitude ) self.show_activity = show_activity self.figsize = figsize self.hspace = hspace - if self.inventories_T2_salt is not None and self.show_activity: - self.inventories_T2_salt_display = ( - np.array(self.inventories_T2_salt) * molT2_to_activity + if self.n_T2_salt_series is not None and self.show_activity: + self.n_T2_salt_series_display = ( + np.array(self.n_T2_salt_series) * molT2_to_activity ) else: - self.inventories_T2_salt_display = self.inventories_T2_salt + self.n_T2_salt_series_display = self.n_T2_salt_series if ( - self.source_T2 is not None - and self.source_T2.shape[0] != self.times_hr.shape[0] + self.source_T2_series is not None + and self.source_T2_series.shape[0] != self.times_hr.shape[0] ): - raise ValueError("source_T2 must have the same length as times") + raise ValueError("source_T2_series must have the same length as times") if ( - self.fluxes_T2 is not None - and self.fluxes_T2.shape[0] != self.times_hr.shape[0] + self.ndot_T2_series is not None + and self.ndot_T2_series.shape[0] != self.times_hr.shape[0] ): - raise ValueError("fluxes_T2 must have the same length as times") + raise ValueError("ndot_T2_series must have the same length as times") # Animation state self.is_animating = False @@ -84,7 +84,7 @@ def __init__( def _setup_plot(self): """Setup the initial plot with subplots.""" - nrows = 3 if self.inventories_T2_salt is not None else 2 + nrows = 3 if self.n_T2_salt_series is not None else 2 default_figsize = (11, 8) if nrows == 3 else (11, 6.3) self.fig = plt.figure(figsize=self.figsize or default_figsize) gs = gridspec.GridSpec(nrows, 1, figure=self.fig, hspace=self.hspace) @@ -93,7 +93,7 @@ def _setup_plot(self): ax2 = self.fig.add_subplot(gs[1], sharex=ax1) self.axs = [ax1, ax2] - if self.inventories_T2_salt is not None: + if self.n_T2_salt_series is not None: # Third axis intentionally has an independent x-scale (time). ax3 = self.fig.add_subplot(gs[2]) self.axs.append(ax3) @@ -103,18 +103,18 @@ def _setup_plot(self): # Create initial plots (self.line1,) = self.axs[0].plot( - self.x_ct, self.c_T2_solutions[0], "b-", linewidth=2 + self.x_ct, self.c_T2_profiles[0], "b-", linewidth=2 ) (self.line2,) = self.axs[1].plot( - self.x_y, self.y_T2_solutions[0], "r-", linewidth=2 + self.x_y, self.y_T2_profiles[0], "r-", linewidth=2 ) - if self.inventories_T2_salt is not None: + if self.n_T2_salt_series is not None: (self.line3,) = self.axs[2].plot( - self.times_hr, self.inventories_T2_salt_display, "g-", linewidth=2 + self.times_hr, self.n_T2_salt_series_display, "g-", linewidth=2 ) (self.time_marker,) = self.axs[2].plot( [self.times_hr[0]], - [self.inventories_T2_salt_display[0]], + [self.n_T2_salt_series_display[0]], "ko", markersize=6, ) @@ -126,19 +126,19 @@ def _setup_plot(self): self.flux_marker = None secondary_lines = [] secondary_labels = [] - if self.source_T2 is not None or self.fluxes_T2 is not None: + if self.source_T2_series is not None or self.ndot_T2_series is not None: self.ax3_secondary = self.axs[2].twinx() - if self.source_T2 is not None: + if self.source_T2_series is not None: (self.source_line,) = self.ax3_secondary.plot( self.times_hr, - self.source_T2, + self.source_T2_series, color="tab:orange", linestyle=":", linewidth=1.8, ) (self.source_marker,) = self.ax3_secondary.plot( [self.times_hr[0]], - [self.source_T2[0]], + [self.source_T2_series[0]], marker="o", color="tab:orange", markersize=5, @@ -146,17 +146,17 @@ def _setup_plot(self): ) secondary_lines.append(self.source_line) secondary_labels.append(r"$S_{T_2}$") - if self.fluxes_T2 is not None: + if self.ndot_T2_series is not None: (self.flux_line,) = self.ax3_secondary.plot( self.times_hr, - self.fluxes_T2, + self.ndot_T2_series, color="magenta", linestyle="dashdot", linewidth=1.8, ) (self.flux_marker,) = self.ax3_secondary.plot( [self.times_hr[0]], - [self.fluxes_T2[0]], + [self.ndot_T2_series[0]], marker="s", color="magenta", markersize=5, @@ -169,10 +169,10 @@ def _setup_plot(self): self.ax3_secondary.grid(False) sec_vals = [] - if self.source_T2 is not None: - sec_vals.append(self.source_T2) - if self.fluxes_T2 is not None: - sec_vals.append(self.fluxes_T2) + if self.source_T2_series is not None: + sec_vals.append(self.source_T2_series) + if self.ndot_T2_series is not None: + sec_vals.append(self.ndot_T2_series) sec_vals = np.concatenate(sec_vals) sec_min = np.min(sec_vals) sec_max = np.max(sec_vals) @@ -195,8 +195,8 @@ def _setup_plot(self): ) self.axs[0].grid(True, alpha=0.3) self.axs[0].set_ylim( - (self.c_T2_solutions.min() - EPS) * 0.9, - (self.c_T2_solutions.max() + EPS) * 1.1, + (self.c_T2_profiles.min() - EPS) * 0.9, + (self.c_T2_profiles.max() + EPS) * 1.1, ) self.axs[1].set_ylabel(r"$y_{T_2} \: [-]$") @@ -206,11 +206,11 @@ def _setup_plot(self): ) self.axs[1].grid(True, alpha=0.3) self.axs[1].set_ylim( - (self.y_T2_solutions.min() - EPS) * 0.9, - (self.y_T2_solutions.max() + EPS) * 1.1, + (self.y_T2_profiles.min() - EPS) * 0.9, + (self.y_T2_profiles.max() + EPS) * 1.1, ) - if self.inventories_T2_salt is not None: + if self.n_T2_salt_series is not None: if self.show_activity: self.axs[2].set_ylabel(r"$A_{T} \: [Bq]$") self.axs[2].set_title("Total T activity in breeder [Bq]") @@ -220,8 +220,8 @@ def _setup_plot(self): self.axs[2].set_xlabel("Time [hours]") self.axs[2].grid(True, alpha=0.3) self.axs[2].set_ylim( - (self.inventories_T2_salt_display.min() - EPS) * 0.9, - (self.inventories_T2_salt_display.max() + EPS) * 1.1, + (self.n_T2_salt_series_display.min() - EPS) * 0.9, + (self.n_T2_salt_series_display.max() + EPS) * 1.1, ) def _setup_slider(self): @@ -250,8 +250,8 @@ def _update_plot(self, val): idx = np.argmin(np.abs(self.times_hr - current_time)) # Update the plots - self.line1.set_ydata(self.c_T2_solutions[idx]) - self.line2.set_ydata(self.y_T2_solutions[idx]) + self.line1.set_ydata(self.c_T2_profiles[idx]) + self.line2.set_ydata(self.y_T2_profiles[idx]) # Update titles self.axs[0].set_title( @@ -260,14 +260,18 @@ def _update_plot(self, val): self.axs[1].set_title( f"$T_2$ fraction in sparging gas at t={self.times_hr[idx]:.1f} hr" ) - if self.inventories_T2_salt is not None: + if self.n_T2_salt_series is not None: self.time_marker.set_data( - [self.times_hr[idx]], [self.inventories_T2_salt_display[idx]] + [self.times_hr[idx]], [self.n_T2_salt_series_display[idx]] ) if self.source_marker is not None: - self.source_marker.set_data([self.times_hr[idx]], [self.source_T2[idx]]) + self.source_marker.set_data( + [self.times_hr[idx]], [self.source_T2_series[idx]] + ) if self.flux_marker is not None: - self.flux_marker.set_data([self.times_hr[idx]], [self.fluxes_T2[idx]]) + self.flux_marker.set_data( + [self.times_hr[idx]], [self.ndot_T2_series[idx]] + ) self.fig.canvas.draw_idle() diff --git a/src/sparging/config.py b/src/sparging/config.py index d796609..c3df246 100644 --- a/src/sparging/config.py +++ b/src/sparging/config.py @@ -2,6 +2,24 @@ import scipy.constants as const import logging +""" +Naming convention (paper symbol <-> code) +========================================= +Core rule: _ mirrors the paper symbol, e.g. + c_T2 -> c_{T2} ndot_T2 -> \\dot n_{T2} P_g/P_l -> P_g/P_l + +Collections are named by the AXIS they vary along: + _profile : varies in space z (1D array) + _profiles : space x time (2D array, leading axis = time) + _series : varies in time (1D array) + +Fixed suffix vocabulary: + Xdot : time derivative / rate (\\dot X) -> ndot_T2, Vdot_g0 + X_ave : spatial/quantity average (\\bar X) -> gen_T2_ave + X_0 : tank bottom / gas inlet + X_init : initial condition (t=0) +""" + molar_mass_T2 = 3.016 * 2 # g/mol T2 specific_activity_tritium = 3.57e14 # Bq/g molT2_to_activity = molar_mass_T2 * specific_activity_tritium # Bq/mol T2 diff --git a/src/sparging/correlations.py b/src/sparging/correlations.py index 52b658f..bef80b0 100644 --- a/src/sparging/correlations.py +++ b/src/sparging/correlations.py @@ -12,6 +12,8 @@ from dataclasses import dataclass import enum +PROFILE = "profile" + class CorrelationType(enum.Enum): # TODO do we really use it ? MASS_TRANSFER_COEFF = "h_l" @@ -26,13 +28,15 @@ class CorrelationType(enum.Enum): # TODO do we really use it ? MORTON_NUMBER = "Mo" SCHMIDT_NUMBER = "Sc" REYNOLDS_NUMBER = "Re" - BUBBLE_VELOCITY = "u_g0" + SUPERFICIAL_GAS_VELOCITY = "u_g" + BUBBLE_VELOCITY = "v_g0" GAS_PHASE_DISPERSION = "E_g" LIQUID_PHASE_DISPERSION = "E_l" - PRESSURE = "P" - FLOW_RATE = "flow_g_mol" + FLOW_RATE = "ndot_g0" INTERFACIAL_AREA = "a" TRITIUM_SOURCE = "source_T" + LIQUID_PRESSURE_PROFILE = "P_l" + GAS_PRESSURE_PROFILE = "P_g" @dataclass @@ -45,18 +49,29 @@ class Correlation: description: str | None = None output_units: str | None = None - def __call__(self, **kwargs: pint.Quantity) -> pint.Quantity: - # check the dimensions are correct - for arg_name, expected_dimension in zip(kwargs, self.input_units): + def _validate_inputs(self, kwargs: dict[str, pint.Quantity]) -> None: + for arg_name, expected in zip(kwargs, self.input_units): arg = kwargs[arg_name] + if expected == PROFILE: + if not callable(arg): + raise ValueError( + f"{self.identifier}: argument '{arg_name}' expected to be a " + f"profile (callable f(z) -> Quantity), got {type(arg)}" + ) + continue if not isinstance(arg, ureg.Quantity): raise ValueError( - f"Invalid input: expected a pint.Quantity with units of {expected_dimension}, got {arg} of type {type(arg)}" + f"Invalid input: expected a pint.Quantity with units of " + f"{expected}, got {arg} of type {type(arg)}" ) - if not arg.dimensionality == ureg(expected_dimension).dimensionality: + if arg.dimensionality != ureg(expected).dimensionality: raise ValueError( - f"Invalid input when resolving for {self.identifier}: expected dimensions of {expected_dimension}, got {arg.dimensionality}" + f"Invalid input when resolving for {self.identifier}: expected " + f"dimensions of {expected}, got {arg.dimensionality}" ) + + def __call__(self, **kwargs: pint.Quantity) -> pint.Quantity: + self._validate_inputs(kwargs) result = self.function(**kwargs) if self.output_units is not None: return result.to(self.output_units) @@ -67,6 +82,29 @@ def __call__(self, **kwargs: pint.Quantity) -> pint.Quantity: # TODO add __post_init__ to check that user defined correlation has same number of input_units as the number of arguments in the function, and that the output of the function is a pint.Quantity with the correct units if output_units is provided +@dataclass +class Profile(Correlation): + """A closure relation that resolves to a *spatial profile*: a callable + f(z) -> pint.Quantity, instead of a scalar pint.Quantity. + + `function(**inputs)` must return a callable mapping a position (length + Quantity) to a Quantity expressed in `output_units`. + """ + + def __call__(self, **kwargs: pint.Quantity): + self._validate_inputs(kwargs) + profile_func = self.function(**kwargs) + if not callable(profile_func): + raise ValueError( + f"Profile '{self.identifier}' must return a callable, " + f"got {type(profile_func)}" + ) + if self.output_units is None: + return profile_func + # wrap so the profile always yields output_units + return lambda z, _f=profile_func: _f(z).to(self.output_units) + + class CorrelationGroup(list[Correlation]): def __call__(self, identifier: str) -> Correlation: for corr in self: @@ -195,26 +233,29 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: ) all_correlations.append(K_s) -d_b = Correlation( - identifier="d_b", - function=lambda flow_g_vol, nozzle_diameter, nb_nozzle: get_d_b( - flow_g_vol=flow_g_vol, nozzle_diameter=nozzle_diameter, nb_nozzle=nb_nozzle +d_b0 = Correlation( + identifier="d_b0", + function=lambda Vdot_g0, nozzle_diameter, nb_nozzle: get_d_b0( + Vdot_g0=Vdot_g0, nozzle_diameter=nozzle_diameter, nb_nozzle=nb_nozzle ), # mean bubble diameter, Kanai 2017 corr_type=CorrelationType.BUBBLE_DIAMETER, input_units=["m**3/s", "m", "dimensionless"], output_units="m", + source="Kanai 2017 (https://doi.org/10.1252/jcej.15we307); report by Evans 2026 (https://doi.org/10.1016/j.nucengdes.2025.114624)", + description="Mean bubble diameter, validated for nitrogen sparging in NaNO3 molten salt at 643K and gas flow rates of 3-10 cm3/s. Author suggests it may be applicable to FLiNaK and FLiBe.", ) -all_correlations.append(d_b) +all_correlations.append(d_b0) -E_o = Correlation( +Eo = Correlation( identifier="Eo", - function=lambda drho, d_b, sigma_l: (const_g * drho * d_b**2 / sigma_l).to( + function=lambda drho, d_b0, sigma_l: (const_g * drho * d_b0**2 / sigma_l).to( "dimensionless" ), # Eotvos number corr_type=CorrelationType.EOTVOS_NUMBER, input_units=["kg/m**3", "m", "N/m"], + output_units="dimensionless", ) -all_correlations.append(E_o) +all_correlations.append(Eo) Mo = Correlation( identifier="Mo", @@ -223,6 +264,7 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: ).to("dimensionless"), # Morton number corr_type=CorrelationType.MORTON_NUMBER, input_units=["kg/m**3", "Pa*s", "kg/m**3", "N/m"], + output_units="dimensionless", ) all_correlations.append(Mo) @@ -231,23 +273,26 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: function=lambda nu_l, D_l: (nu_l / D_l).to("dimensionless"), # Schmidt number corr_type=CorrelationType.SCHMIDT_NUMBER, input_units=["m**2/s", "m**2/s"], + output_units="dimensionless", ) all_correlations.append(Sc) +# Bubble Reynolds number Re = Correlation( identifier="Re", - function=lambda rho_l, u_g0, d_b, mu_l: (rho_l * u_g0 * d_b / mu_l).to( + function=lambda rho_l, v_g0, d_b0, mu_l: (rho_l * v_g0 * d_b0 / mu_l).to( "dimensionless" - ), # Reynolds number + ), corr_type=CorrelationType.REYNOLDS_NUMBER, input_units=["kg/m**3", "m/s", "m", "Pa*s"], + output_units="dimensionless", ) all_correlations.append(Re) -u_g0 = Correlation( - identifier="u_g0", - function=lambda Eo, Mo, mu_l, rho_l, d_b: get_u_g0( - Eo=Eo, Mo=Mo, mu_l=mu_l, rho_l=rho_l, d_b=d_b +v_g0 = Correlation( + identifier="v_g0", + function=lambda Eo, Mo, mu_l, rho_l, d_b0: get_v_g0( + Eo=Eo, Mo=Mo, mu_l=mu_l, rho_l=rho_l, d_b=d_b0 ), # initial gas velocity corr_type=CorrelationType.BUBBLE_VELOCITY, input_units=[ @@ -258,40 +303,16 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: "m", ], output_units="m/s", + source="Chavez 2021: https://doi.org/10.1016/j.ijheatfluidflow.2021.108875", + description="Clift 1978 correlation for terminal velocity, validated for single He bubble rising in steady FLiNaK. Likely to be applicable to FLiBe (similar surface tensions, density and viscosity).", ) -all_correlations.append(u_g0) +all_correlations.append(v_g0) -eps_g = Correlation( - identifier="eps_g", - function=lambda temperature, P_bottom, sigma_l, d_b, flow_g_mol, tank_diameter, u_g0: ( - get_eps_g( - T=temperature, - P_0=P_bottom, - sigma_l=sigma_l, - d_b=d_b, - flow_g=flow_g_mol, - tank_diameter=tank_diameter, - u_g0=u_g0, - ) - ), # gas void fraction - corr_type=CorrelationType.GAS_VOID_FRACTION, - input_units=[ - "kelvin", - "Pa", - "N/m", - "m", - "mol/s", - "m", - "m/s", - ], - output_units="dimensionless", -) -all_correlations.append(eps_g) h_l_higbie = Correlation( identifier="h_l_higbie", - function=lambda D_l, u_g0, d_b: get_h_higbie( - D_l=D_l, u_g=u_g0, d_b=d_b + function=lambda D_l, v_g0, d_b0: get_h_higbie( + D_l=D_l, v_g=v_g0, d_b=d_b0 ), # mass transfer coefficient with Higbie correlation corr_type=CorrelationType.MASS_TRANSFER_COEFF, source="Higbie 1935", @@ -301,23 +322,11 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: ) all_correlations.append(h_l_higbie) -h_l_malara = Correlation( - identifier="h_l_malara", - function=lambda D_l, d_b: get_h_malara( - D_l=D_l, d_b=d_b - ), # mass transfer coefficient with Malara correlation - corr_type=CorrelationType.MASS_TRANSFER_COEFF, - source="Malara 1995", - description="mass transfer coefficient for tritium in liquid FLiBe using Malara 1995 correlation (used for inert gas stripping from breeder droplets, may not be valid here)", - input_units=["m**2/s", "m"], - output_units="m/s", -) -all_correlations.append(h_l_malara) h_l_briggs = Correlation( identifier="h_l_briggs", - function=lambda Re, Sc, D_l, d_b: get_h_briggs( - Re=Re, Sc=Sc, D_l=D_l, d_b=d_b + function=lambda Re, Sc, D_l, d_b0: get_h_briggs( + Re=Re, Sc=Sc, D_l=D_l, d_b=d_b0 ), # mass transfer coefficient with Briggs correlation corr_type=CorrelationType.MASS_TRANSFER_COEFF, source="Briggs 1970", @@ -327,28 +336,31 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: ) all_correlations.append(h_l_briggs) +# liquid phase axial dispersion coefficient E_l = Correlation( identifier="E_l", - function=lambda tank_diameter, u_g0: ureg.Quantity( - 0.678 * tank_diameter.magnitude**1.4 * u_g0.magnitude**0.3, "m**2/s" - ), # liquid phase axial dispersion coefficient + function=lambda tank_diameter, u_g: ureg.Quantity( + 0.678 * tank_diameter.magnitude**1.4 * u_g(0 * ureg.m).magnitude ** 0.3, + "m**2/s", + ), corr_type=CorrelationType.LIQUID_PHASE_DISPERSION, source="Deckwer 1974", description="liquid phase axial dispersion coefficient, assumed equal to diffusivity of tritium in liquid FLiBe", - input_units=["m", "m/s"], + input_units=["m", PROFILE], output_units="m**2/s", ) all_correlations.append(E_l) +# gas phase axial dispersion coefficient E_g = Correlation( identifier="E_g", - function=lambda tank_diameter, u_g0: ( - 0.2 * ureg("1/m") * tank_diameter**2 * u_g0 + function=lambda tank_diameter, u_g: ( + 0.2 * ureg("1/m") * tank_diameter**2 * u_g(0 * ureg.m) ), # gas phase axial dispersion coefficient corr_type=CorrelationType.GAS_PHASE_DISPERSION, source="Malara 1995", - description="gas phase axial dispersion coefficient [m2/s], Malara 1995 correlation models dispersion of the gas velocity distribution around the mean bubble velocity", - input_units=["m", "m/s"], + description="gas phase axial dispersion coefficient [m2/s], Malara 1995", + input_units=["m", PROFILE], output_units="m**2/s", ) all_correlations.append(E_g) @@ -367,52 +379,31 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: he_molar_mass = ureg("4.003e-3 kg/mol") rho_g = Correlation( identifier="rho_g", - function=lambda temperature, P_bottom: ureg.Quantity( - (P_bottom * he_molar_mass / (const_R * temperature.to("kelvin"))).to("kg/m**3") + function=lambda temperature, P_l: ureg.Quantity( + (P_l(0 * ureg.m) * he_molar_mass / (const_R * temperature.to("kelvin"))).to( + "kg/m**3" + ) ), # ideal gas law for density of gas phase corr_type=CorrelationType.DENSITY, description="density of gas phase calculated using ideal gas law", - input_units=["kelvin", "Pa"], + input_units=["kelvin", PROFILE], ) all_correlations.append(rho_g) -P_bottom = Correlation( - identifier="P_bottom", - function=lambda P_top, rho_l, height: ( - P_top + rho_l * const_g * height - ), # convert pressure to Pascals - corr_type=CorrelationType.PRESSURE, - description="pressure at the bottom of the system", - input_units=["Pa", "kg/m**3", "m"], - output_units="Pa", -) -all_correlations.append(P_bottom) -flow_g_vol = Correlation( - identifier="flow_g_vol", - function=lambda flow_g_mol, temperature, P_bottom: ( - flow_g_mol * const_R * temperature / P_bottom +Vdot_g0 = Correlation( + identifier="Vdot_g0", + function=lambda ndot_g0, temperature, P_l: ( + ndot_g0 * const_R * temperature / P_l(0 * ureg.m) ), # convert molar flow rate to volumetric flow rate using ideal gas law corr_type=CorrelationType.FLOW_RATE, description="volumetric flow rate of gas phase calculated from molar flow rate using ideal gas law", - input_units=["mol/s", "kelvin", "Pa"], + input_units=["mol/s", "kelvin", PROFILE], output_units="m**3/s", ) -all_correlations.append(flow_g_vol) +all_correlations.append(Vdot_g0) -specific_interfacial_area = Correlation( - identifier="a", - function=lambda d_b, eps_g: ( - 6 * eps_g / d_b - ), # specific interfacial area for spherical bubbles - corr_type=CorrelationType.INTERFACIAL_AREA, - description="specific interfacial area calculated from bubble diameter and gas void fraction, assuming spherical bubbles", - input_units=["m", "dimensionless"], - output_units="1/m", -) -all_correlations.append(specific_interfacial_area) - source_T_integral = Correlation( identifier="Q_T", function=lambda tbr, n_gen_rate: ( @@ -424,25 +415,14 @@ def get_list(self, corr_type: CorrelationType) -> list[Correlation]: ) all_correlations.append(source_T_integral) -# P_hydrostatic = Profile( -# identifier="P_l", -# function=lambda P_bottom, rho_l: ( -# lambda z: P_bottom - rho_l * const_g * z -# ), # source term for tritium generation calculated from TBR and neutron generation rate -# corr_type=CorrelationType.TRITIUM_SOURCE, -# input_units=["triton/neutron", "neutron/s"], -# output_units="molT/s", -# ) -# all_correlations.append(source_T_integral) - -def get_d_b( - flow_g_vol: pint.Quantity, nozzle_diameter: pint.Quantity, nb_nozzle: pint.Quantity +def get_d_b0( + Vdot_g0: pint.Quantity, nozzle_diameter: pint.Quantity, nb_nozzle: pint.Quantity ) -> float: """ mean bubble diameter [m], Kanai 2017 (reported by Evans 2026) """ - nozzle_flow = flow_g_vol / nb_nozzle # volumetric flow per nozzle [m3/s] + nozzle_flow = Vdot_g0 / nb_nozzle # volumetric flow per nozzle [m3/s] if nozzle_flow < ureg("3 cm**3/s") or nozzle_flow > ureg("10 cm**3/s"): warnings.warn( f"nozzle flow {nozzle_flow.to('cm**3/s')} is out of the validated range for the Kanai 2017 correlation (3-10 cm3/s)" @@ -458,7 +438,7 @@ def get_d_b( ) -def get_u_g0(Eo, Mo, mu_l, rho_l, d_b) -> float: # TODO move inside class ? +def get_v_g0(Eo, Mo, mu_l, rho_l, d_b) -> float: # TODO move inside class ? """ bubble initial velocity [m/s], correlation for terminal velocity from Clift 1978 """ @@ -473,49 +453,119 @@ def get_u_g0(Eo, Mo, mu_l, rho_l, d_b) -> float: # TODO move inside class ? raise ValueError( f"Clift correlation is not valid for H = {H}, which is calculated based on the input parameters. Check the input parameters and the validity of the correlation for the given range of parameters." ) - u_g0 = mu_l / (rho_l * d_b) * Mo**-0.149 * (J - 0.857) - if u_g0 > ureg("1 m/s") or u_g0 < ureg("0.1 m/s"): - warnings.warn(f"Warning: bubble velocity {u_g0} is out of the typical range") + v_g0 = mu_l / (rho_l * d_b) * Mo**-0.149 * (J - 0.857) + if v_g0 > ureg("1 m/s") or v_g0 < ureg("0.1 m/s"): + warnings.warn( + f"Warning: bubble terminal velocity {v_g0} is out of the typical range" + ) - return u_g0 + return v_g0 -def get_eps_g(T, P_0, sigma_l, d_b, flow_g, tank_diameter, u_g0) -> float: - eps_g = ( - const_R - * T - / (P_0 + 4 * sigma_l / d_b) - * flow_g - / (np.pi * (tank_diameter / 2) ** 2 * u_g0) - ) - if eps_g > 1 * ureg("dimensionless") or eps_g < 0 * ureg("dimensionless"): +def get_eps_g(T, P_g, ndot_g, area, v_g) -> float: + gamma = ndot_g * const_R * T / (P_g * area * v_g) + + eps_g = gamma / (1 + gamma) + + if np.max(eps_g) > 1 * ureg("dimensionless") or np.min(eps_g) < 0 * ureg( + "dimensionless" + ): warnings.warn(f"Warning: unphysical gas fraction: {eps_g}") - elif eps_g > 0.1 * ureg("dimensionless"): + elif np.max(eps_g) > 0.1 * ureg("dimensionless"): warnings.warn( - f"Warning: high gas fraction: {eps_g}, models assumptions may not hold" + f"Warning: high gas fraction: {eps_g}, model assumptions may not hold" ) return eps_g -def get_h_higbie(D_l: float, u_g: float, d_b: float) -> float: - """mass transfer coefficient [m/s] for tritium in liquid FLiBe using Higbie penetration model""" - h_l = ( - (D_l * u_g) / (const.pi * d_b) - ) ** 0.5 # mass transport coefficient Higbie penetration model - return h_l - - -def get_h_malara(D_l: float, d_b: float) -> float: +def get_h_higbie(D_l: float, v_g: float, d_b: float) -> float: """ - mass transfer coefficient [m/s] for tritium in liquid FLiBe using Malara 1995 correlation - (used for inert gas stripping from breeder droplets, may not be valid here) + Higbie penetration model average mass transfer coefficient [m/s]-> suited for large mobile interfaces """ - h_l = 2 * np.pi**2 * D_l / (3 * d_b) + h_l = 2 * ((D_l * v_g) / (const.pi * d_b)) ** 0.5 return h_l def get_h_briggs(Re: float, Sc: float, D_l: float, d_b: float) -> float: - """mass transfer coefficient [m/s] for tritium in liquid FLiBe using Briggs 1970 correlation""" + """ + Sherwood based mass transfer coefficient [m/s] for tritium in liquid FLiBe (Briggs 1970 correlation) -> suited for small rigid interfaces + """ Sh = 0.089 * Re**0.69 * Sc**0.33 # Sherwood number h_l = Sh * D_l / d_b return h_l + + +# hydrostatic pressure profile along tank height +P_l = Profile( + identifier="P_l", + function=lambda P_top, rho_l, height: ( + lambda z: P_top + rho_l * const_g * (height - z) + ), + corr_type=CorrelationType.LIQUID_PRESSURE_PROFILE, + input_units=["Pa", "kg/m^3", "m"], + output_units="Pa", + description="hydrostatic pressure profile along tank height", +) +all_correlations.append(P_l) + + +P_g = Profile( + identifier="P_g", + function=lambda P_l, d_b, sigma_l: lambda z: P_l(z) + 4 * sigma_l / d_b(z), + corr_type=CorrelationType.GAS_PRESSURE_PROFILE, + input_units=[PROFILE, PROFILE, "N/m"], + output_units="Pa", + description="pressure in a mechanically stable bubble immerged in a liquid", +) +all_correlations.append(P_g) + + +d_b = Profile( + identifier="d_b", + function=lambda d_b0, P_l: lambda z: d_b0 * (P_l(0 * ureg.m) / P_l(z)) ** (1 / 3), + corr_type=CorrelationType.BUBBLE_DIAMETER, + input_units=["m", PROFILE], + output_units="m", + description="Bubble diameter profile from hydrostatic expansion", +) +all_correlations.append(d_b) + +eps_g = Profile( + identifier="eps_g", + function=lambda temperature, P_g, ndot_g0, area, v_g0: ( + lambda z: get_eps_g( + T=temperature, + P_g=P_g(z), + ndot_g=ndot_g0, + area=area, + v_g=v_g0, + ) + ), + corr_type=CorrelationType.GAS_VOID_FRACTION, + input_units=["kelvin", PROFILE, "mol/s", "m^2", "m/s"], + output_units="dimensionless", + description="gas void fraction profile (local P and d_b)", +) +all_correlations.append(eps_g) + +a = Profile( + identifier="a", + function=lambda eps_g, d_b: lambda z: 6 * eps_g(z) / d_b(z), + corr_type=CorrelationType.INTERFACIAL_AREA, + input_units=[PROFILE, PROFILE], + output_units="1/m", + description="specific interfacial area profile", +) +all_correlations.append(a) + +u_g = Profile( + identifier="u_g", + function=lambda Vdot_g0, area, P_g: ( + lambda z: (Vdot_g0 / area).to("m/s") * (P_g(0 * ureg.m) / P_g(z)) + ), + corr_type=CorrelationType.SUPERFICIAL_GAS_VELOCITY, + input_units=["m^3/s", "m^2", PROFILE], + output_units="m/s", + description="superficial gas velocity profile", +) +all_correlations.append(u_g) diff --git a/src/sparging/input_examples.py b/src/sparging/input_examples.py index 6a3efa7..112d1a4 100644 --- a/src/sparging/input_examples.py +++ b/src/sparging/input_examples.py @@ -10,6 +10,7 @@ from sparging.correlations import all_correlations import logging from typing import TYPE_CHECKING +import networkx as nx if TYPE_CHECKING: import pint @@ -34,7 +35,7 @@ def get_sim_input_LIBRA1L() -> tuple[SimulationInput, pint.Quantity]: operating_params = OperatingParameters( temperature=600 * ureg.celsius, P_top=1 * ureg.atm, - flow_g_mol=40 * ureg.sccm, + ndot_g0=40 * ureg.sccm, tbr=2e-3 * ureg("triton / neutron"), # according to LIBRA 1L paper n_gen_rate=1e9 * ureg("neutron / s"), ) @@ -74,7 +75,7 @@ def get_sim_input_standard() -> SimulationInput: operating_params = OperatingParameters( temperature=600 * ureg.celsius, P_top=1 * ureg.atm, - flow_g_mol=400 * ureg.sccm, + ndot_g0=400 * ureg.sccm, tbr=0.1 * ureg("triton / neutron"), n_gen_rate=1e9 * ureg("neutron / s"), ) @@ -90,6 +91,43 @@ def get_sim_input_standard() -> SimulationInput: return my_input +def get_sim_input_malara() -> SimulationInput: + """ + To compare closure relations results with Malara 1995 paper + """ + geom = ColumnGeometry( + area=0.2 * ureg.m**2, + height=3 * ureg.m, + nozzle_diameter=0.001 * ureg.m, + nb_nozzle=10 * ureg.dimensionless, + ) + + flibe = BreederMaterial( + name="FLiBe", + ) + + operating_params = OperatingParameters( + temperature=623 * ureg.kelvin, + P_top=5e5 * ureg.pascal, + ndot_g0=0.19 * ureg("mol / s"), + tbr=0.1 * ureg("triton / neutron"), + n_gen_rate=1e9 * ureg("neutron / s"), + ) + + sparging_params = SpargingParameters( + h_l=all_correlations("h_l_briggs"), + ) + graph = nx.Graph() + graph.add_node( + "d_b", value=6 * ureg.mm, origin="input" + ) # need a correlation for d_b and v_g adapted to such high gas flow rate + my_input = SimulationInput.from_parameters( + geom, flibe, operating_params, sparging_params, graph=graph + ) + logger.info(my_input) + return my_input + + LIBRA_PI_GEOM = ColumnGeometry( area=0.2 * ureg.m**2, height=1 * ureg.m, @@ -104,7 +142,7 @@ def get_sim_input_standard() -> SimulationInput: LIBRA_PI_OPERATING_PARAMS = OperatingParameters( temperature=550 * ureg.celsius, P_top=1.2 * ureg.atm, - flow_g_mol=400 * ureg.sccm, + ndot_g0=400 * ureg.sccm, tbr=0.1 * ureg("triton / neutron"), n_gen_rate=1e9 * ureg("neutron / s"), ) diff --git a/src/sparging/inputs.py b/src/sparging/inputs.py index 8fdff0c..82fc69a 100644 --- a/src/sparging/inputs.py +++ b/src/sparging/inputs.py @@ -51,9 +51,9 @@ def copy(self): @dataclass class OperatingParameters: temperature: pint.Quantity - flow_g_mol: pint.Quantity + ndot_g0: pint.Quantity P_top: pint.Quantity - flow_g_vol: pint.Quantity | None = None + Vdot_g0: pint.Quantity | None = None P_bottom: pint.Quantity | Correlation | None = None tbr: pint.Quantity | None = None n_gen_rate: pint.Quantity | None = None @@ -67,7 +67,6 @@ def copy(self): class SpargingParameters: h_l: pint.Quantity | Correlation eps_g: pint.Quantity | Correlation | None = None - u_g0: pint.Quantity | Correlation | None = None d_b: pint.Quantity | Correlation | None = None rho_g: pint.Quantity | Correlation | None = None E_g: pint.Quantity | Correlation | None = None @@ -82,14 +81,10 @@ def copy(self): class SimulationInput: height: pint.Quantity area: pint.Quantity - u_g0: pint.Quantity temperature: pint.Quantity - a: pint.Quantity h_l: pint.Quantity K_s: pint.Quantity - P_bottom: pint.Quantity rho_l: pint.Quantity - eps_g: pint.Quantity E_g: pint.Quantity E_l: pint.Quantity Q_T: pint.Quantity @@ -99,23 +94,26 @@ class SimulationInput: """callable = f:R+ (time) -> [0,1] """ profile_source_T: Callable[[float], float] | None = None """callable = f:[0,1] -> R+, it takes a dimensionless coordinate: (z / height)""" - c_T2_0: pint.Quantity = 0 * ureg("molT2/m**3") - profile_c_T2_0: Callable[[float], pint.Quantity] | None = None + c_T2_init: pint.Quantity = 0 * ureg("molT2/m**3") + profile_c_T2_init: Callable[[float], pint.Quantity] | None = None """callable = f:[0,1] -> R+, it takes a dimensionless coordinate: (z / height)""" required_keys = ( "height", "area", - "u_g0", "temperature", - "a", "h_l", "K_s", - "P_bottom", "rho_l", - "eps_g", "E_g", "E_l", "Q_T", + ) + required_profiles = ( + "P_l", + "P_g", + "eps_g", + "a", + "u_g", ) # these parameters will be used to solve the model graph: nx.Graph | None = None """ Stores the intermediate parameters and their relationships that built the SimulationInput. @@ -125,14 +123,40 @@ class SimulationInput: - origin: "input" | correlation identifier e.g use: mySimulationInput.graph.nodes["height"]["value"] """ + # pressure dependant profiles + P_l: Callable[[pint.Quantity], pint.Quantity] | None = None + P_g: Callable[[pint.Quantity], pint.Quantity] | None = None + eps_g: Callable[[pint.Quantity], pint.Quantity] | None = None + a: Callable[[pint.Quantity], pint.Quantity] | None = None + u_g: Callable[[pint.Quantity], pint.Quantity] | None = None @property def volume(self): return self.area * self.height @property - def eps_l(self): - return 1 - self.eps_g + def a_0(self): + return self.a(0 * ureg.m) + + @property + def eps_g0(self): + return self.eps_g(0 * ureg.m) + + @property + def eps_l0(self): + return 1 - self.eps_g0 + + @property + def P_l0(self): + return self.P_l(0 * ureg.m) + + @property + def P_g0(self): + return self.P_g(0 * ureg.m) + + @property + def u_g0(self): + return self.u_g(0 * ureg.m) def set_S_T(self, val: pint.Quantity): self.Q_T = (val.to("molT/m**3/s") * self.volume).to("molT/s") @@ -142,10 +166,10 @@ def get_S_T(self) -> pint.Quantity: def get_tau(self) -> pint.Quantity: """characteristic time of the sparger under the small partial pressure (SPP) approximation""" - return (self.eps_l / (self.h_l * self.a)).to("seconds") + return (self.eps_l0 / (self.h_l * self.a_0)).to("seconds") def get_c_T2_SS(self) -> pint.Quantity: - return (self.get_S_T() * 1 / (self.h_l * self.a)).to("molT2/m^3") + return (self.get_S_T() * 1 / (self.h_l * self.a_0)).to("molT2/m^3") def get_Pi_number(self) -> pint.Quantity: """Partial pressure number, @@ -157,8 +181,8 @@ def get_Pi_number(self) -> pint.Quantity: * (const_R * self.temperature) * self.height * self.h_l - * self.a - / (self.eps_g * self.u_g0) + * self.a_0 + / (self.eps_g0 * self.graph.nodes["v_g0"]["value"]) ).to("dimensionless") def get_dP_dx(self) -> pint.Quantity: @@ -177,18 +201,13 @@ def get_Bo(self) -> pint.Quantity: returns Bodenstein number = ratio of convective to dispersive transport for the gas phase corresponds to Peclet number at the scale of the tank """ - # return (self.eps_g * self.u_g0 * self.height / self.E_g).to("dimensionless") - return ( - (self.graph.nodes["flow_g_vol"]["value"] / self.area) - * self.height - / self.E_g - ).to("dimensionless") + return (self.u_g0 * self.height / self.E_g).to("dimensionless") def test_eps_g( self, ): # to see if the two definitions of superficial velocity are consistent -> TODO remove print( - f"{self.eps_g * self.u_g0} vs {self.graph.nodes['flow_g_vol']['value'] / self.area}" + f"{self.eps_g0 * self.graph.nodes['v_g0']['value']} vs {self.graph.nodes['Vdot_g0']['value'] / self.area} vs {self.u_g0}" ) def __post_init__(self): @@ -250,12 +269,15 @@ def from_parameters( ] discovered_graph = nx.Graph() if graph is None else graph - for required_key in cls.required_keys: + for required_key in (*cls.required_keys, *cls.required_profiles): find_in_graph(required_key, discovered_graph, input_objs=input_objects) return cls( graph=discovered_graph, - **{arg: discovered_graph.nodes[arg]["value"] for arg in cls.required_keys}, + **{ + arg: discovered_graph.nodes[arg]["value"] + for arg in (*cls.required_keys, *cls.required_profiles) + }, ) def __str__(self): @@ -319,8 +341,8 @@ def find_in_graph( ) # also update discovered_graph with the nodes possibly discovered during recursive search discovered_graph.nodes[required_node]["value"] = result - assert isinstance(result, pint.Quantity), ( - f"Result for required node '{required_node}' is not a pint.Quantity after resolution, got {result} of type {type(result)}" + assert isinstance(result, pint.Quantity) or callable(result), ( + f"Result for required node '{required_node}' is not a pint.Quantity or callable after resolution, got {result} of type {type(result)}" ) @@ -360,7 +382,7 @@ def resolve_correlation( input_objs: List[ SpargingParameters | OperatingParameters | BreederMaterial | ColumnGeometry ], -) -> pint.Quantity: +) -> pint.Quantity | callable: """Recursively resolve a correlation by first resolving its arguments, then applying the correlation function to the resolved arguments. - corr: Correlation object to resolve - discovered_graph: graph containing already resolved quantities, to avoid redundant calculations and infinite recursion diff --git a/src/sparging/model.py b/src/sparging/model.py index e4cdc3f..e3518cd 100644 --- a/src/sparging/model.py +++ b/src/sparging/model.py @@ -23,6 +23,8 @@ import pint from collections.abc import Callable import logging +from dataclasses import dataclass, field +import warnings logger = logging.getLogger(__name__) @@ -34,62 +36,61 @@ @dataclass class SimulationResults: times: np.ndarray[pint.Quantity] - c_T2_solutions: np.ndarray[pint.Quantity] - """ line : time step, column : spatial coordinate """ - y_T2_solutions: np.ndarray[pint.Quantity] - aJ_T2_solutions: np.ndarray[pint.Quantity] + c_T2_profiles: np.ndarray[pint.Quantity] + """profiles c_T2(z) stacked over time. axis 0: time step, axis 1: position z""" + y_T2_profiles: np.ndarray[pint.Quantity] + aJ_T2_profiles: np.ndarray[pint.Quantity] x_ct: np.ndarray[pint.Quantity] x_y: np.ndarray[pint.Quantity] - inventories_T2_salt: np.ndarray[pint.Quantity] - sources_T2: np.ndarray[pint.Quantity] - fluxes_T2: np.ndarray[pint.Quantity] + n_T2_salt_series: np.ndarray[pint.Quantity] + """liquid tritium inventory n_T2(t) [molT2] over time""" + sources_T2_series: np.ndarray[pint.Quantity] + ndot_T2_series: np.ndarray[pint.Quantity] dt: pint.Quantity = None dx: pint.Quantity = None sim_input: SimulationInput = None + exports: dict[str, pint.Quantity] = None + """name -> 2D Quantity, axis 0: time step, axis 1: position (x_export)""" + x_export: np.ndarray[pint.Quantity] = None - keys_to_ignore_results = [ # TODO do it the other way: keys_to_include_results - # "c_T2_solutions", - # "y_T2_solutions", - # "J_T2_solutions", - # "x_ct", - # "x_y", - # "inventories_T2_salt", - # "times", - # "sources_T2", - # "fluxes_T2", + keys_to_ignore_results = [ "sim_input", "dt", "dx", + "exports", # dict of Quantities: exported via exports_to_csv, not JSON/YAML ] + # Backward-compatibility: old field names -> new (axis-named) fields. + # Applied when deserializing legacy JSON/pickle files. + _legacy_key_map = { + "c_T2_solutions": "c_T2_profiles", + "y_T2_solutions": "y_T2_profiles", + "aJ_T2_solutions": "aJ_T2_profiles", + "inventories_T2_salt": "n_T2_salt_series", + "sources_T2": "sources_T2_series", + "ndot_T2": "ndot_T2_series", + } + def to_yaml(self, output_path: Path): sim_dict = self.sim_input.__dict__.copy() helpers.setup_yaml() - - # structure the output output = { "metadata": { "git_commit": helpers.get_git_hash(), "date": datetime.now().isoformat(), }, } - output["simulation parameters"] = {} for key, value in sim_dict.items(): output["simulation parameters"][key] = str(value) - output["results"] = self.__dict__.copy() - # remove c_T2_solutions and y_T2_solutions from results to avoid dumping large arrays in yaml, they can be saved separately if needed for key in self.keys_to_ignore_results: output["results"].pop(key, None) - with open(output_path, "w") as f: yaml.dump(output, f, sort_keys=False) def serialize_output(self): sim_dict = self.sim_input.__dict__.copy() - - # structure the output output = { "metadata": { "git_commit": helpers.get_git_hash(), @@ -100,20 +101,16 @@ def serialize_output(self): for key, value in sim_dict.items(): output["simulation parameters"][key] = str(value) output["results"] = self.__dict__.copy() - - # remove objects incompatible with serialization for key in self.keys_to_ignore_results: output["results"].pop(key, None) for key, value in output.items(): if isinstance(value, np.ndarray): - # convert numpy arrays to lists for JSON serialization output[key] = value.tolist() logger.verbose( "found list in results, converting to list for JSON serialization" ) if isinstance(value, pint.Quantity): - # convert pint.Quantity to string for JSON serialization output[key] = value.to_base_units().magnitude logger.verbose( "found pint.Quantity in results, converting to magnitude for JSON serialization" @@ -127,18 +124,15 @@ def serialize_output(self): if isinstance(v, pint.Quantity): units = str(v.units) output["results"][k] = {"value": v.magnitude, "units": units} - if isinstance(v.magnitude, np.ndarray): logger.verbose( f"found pint.Quantity with numpy array magnitude in results[{k}], converting to list for JSON serialization" ) output["results"][k]["value"] = v.magnitude.tolist() - return output def to_json(self, output_path: Path): output = self.serialize_output() - with open(output_path, "w") as f: json.dump(output, f, indent=3) @@ -146,27 +140,25 @@ def to_pickle(self, output_path: Path): import pickle output = self.serialize_output() - with open(output_path, "wb") as f: pickle.dump(output, f) def profiles_to_csv(self, output_directory: Path): - """Save c_T2 and y_T2 profiles at all time steps as CSV files.""" + """Save c_T2 and y_T2 profiles at all time steps as CSV files. + replaced by exports_to_csv, but kept for legacy""" times_s = np.array([t.to("seconds").magnitude for t in self.times]) - col_names = [f"t={t:.1f}s" for t in times_s] df_c_T2 = pd.DataFrame( - np.column_stack([self.x_ct.magnitude, self.c_T2_solutions.magnitude.T]), + np.column_stack([self.x_ct.magnitude, self.c_T2_profiles.magnitude.T]), columns=["x_metres", *col_names], ) df_y_T2 = pd.DataFrame( - np.column_stack([self.x_y.magnitude, self.y_T2_solutions.magnitude.T]), + np.column_stack([self.x_y.magnitude, self.y_T2_profiles.magnitude.T]), columns=["x_metres", *col_names], ) - df_aJ_T2 = pd.DataFrame( - np.column_stack([self.x_y.magnitude, self.aJ_T2_solutions.magnitude.T]), + np.column_stack([self.x_y.magnitude, self.aJ_T2_profiles.magnitude.T]), columns=["x_metres", *col_names], ) @@ -180,23 +172,18 @@ def profiles_to_cdf(self, output_directory: Path): """Export profiles to a self-describing NetCDF file, preserving units.""" import xarray as xr - # --- Helper: split a pint Quantity (scalar or array) into (magnitude, unit_str) def split(q, target_unit=None): if target_unit is not None: q = q.to(target_unit) - return np.asarray( - q.magnitude - ), f"{q.units:~P}" # "~" → short symbol, e.g. "mol/m³" -> "mol / m ** 3" + return np.asarray(q.magnitude), f"{q.units:~P}" - # --- Coordinates --- t_mag, t_unit = split(self.times, "s") x_ct_mag, x_ct_unit = split(self.x_ct, "m") x_y_mag, x_y_unit = split(self.x_y, "m") - # --- Data variables (note: c_T2_solutions is a 2D pint Quantity, shape (n_t, n_x)) --- - aJ_T2_mag, aJ_T2_unit = split(self.aJ_T2_solutions, "molT2/m^3/s") - c_mag, c_unit = split(self.c_T2_solutions, "molT2/m^3") - y_mag, y_unit = split(self.y_T2_solutions) # dimensionless → keep native + aJ_T2_mag, aJ_T2_unit = split(self.aJ_T2_profiles, "molT2/m^3/s") + c_mag, c_unit = split(self.c_T2_profiles, "molT2/m^3") + y_mag, y_unit = split(self.y_T2_profiles) ds = xr.Dataset( data_vars={ @@ -234,11 +221,51 @@ def split(q, target_unit=None): output_directory.mkdir(parents=True, exist_ok=True) ds.to_netcdf(output_directory / "profiles.nc") + def exports_to_csv(self, output_directory: Path): + """Write each requested export to its own CSV file (e.g. 'P_g.csv', 'a.csv'). + + Format (matches the notebook's load_profile_csv): + column 0 : 'x_metres' + columns 1.. : one per time step, named 't=s' + A companion '_export_units.json' records the physical unit of each export, + so the plotting script can build axis labels. + + Replaces profiles_to_csv (which was hard-coded to c_T2 / y_T2). + """ + if not self.exports: + warnings.warn( + "No exports to write. Set `simulation.exports = [...]` before solving." + ) + return + + output_directory.mkdir(parents=True, exist_ok=True) + + times_s = self.times.to("seconds").magnitude + col_names = [f"t={t:.1f}s" for t in times_s] + + units = {} + for name, data in self.exports.items(): + df = pd.DataFrame( + np.column_stack([self.x_export.magnitude, data.magnitude.T]), + columns=["x_metres", *col_names], + ) + df.to_csv( + output_directory / f"{name}.csv", index=False, float_format="%.6e" + ) + units[name] = f"{data.units:~P}" + + with open(output_directory / "_export_units.json", "w") as f: + json.dump(units, f, indent=2) + @classmethod def deserialize_output(cls, data: dict) -> SimulationResults: - # only read the "results" key - # for each key in results, if the dict have "value" and "units" keys, convert it back to pint.Quantity results = data.get("results", {}) + + # backward compatibility: remap legacy field names to axis-named fields + for old_key, new_key in cls._legacy_key_map.items(): + if old_key in results and new_key not in results: + results[new_key] = results.pop(old_key) + for k, v in results.items(): if isinstance(v, dict) and "value" in v and "units" in v: results[k] = ureg.Quantity(v["value"], v["units"]) @@ -249,7 +276,6 @@ def deserialize_output(cls, data: dict) -> SimulationResults: def from_json(cls, input_path: Path) -> SimulationResults: with open(input_path, "r") as f: data = json.load(f) - return cls.deserialize_output(data) @classmethod @@ -258,7 +284,6 @@ def from_pickle(cls, input_path: Path) -> SimulationResults: with open(input_path, "rb") as f: data = pickle.load(f) - return cls.deserialize_output(data) @@ -266,16 +291,11 @@ def from_pickle(cls, input_path: Path) -> SimulationResults: class Simulation: sim_input: SimulationInput t_final: pint.Quantity - profile_pressure_hydrostatic: bool = True dispersion_on: bool = True - - def hydrostatic_pressure( - self, z: pint.Quantity - ) -> pint.Quantity: # TODO should be in correlations - """returns the hydrostatic pressure at a given height z in the tank given P_bottom""" - rho = self.sim_input.rho_l - g = const_g - return (self.sim_input.P_bottom - rho * g * z).to("Pa") + constant_profiles: bool = False + exports: list[str] = field(default_factory=list) + """Names of quantities to export (must be keys of the export registry built + in `solve`). Each is written to '.csv' by `SimulationResults.exports_to_csv`.""" def normalize_profile( self, profile: Callable[[float], float] | None, length: float, mesh, func_space @@ -310,15 +330,11 @@ def solve( tank_height = self.sim_input.height.to("m").magnitude tank_area = self.sim_input.area.to("m**2").magnitude tank_volume = self.sim_input.volume.to("m**3").magnitude - a = self.sim_input.a.to("1/m").magnitude h_l = self.sim_input.h_l.to("m/s").magnitude K_s = self.sim_input.K_s.to("mol/m**3/Pa").magnitude # convert to molT2 ? - P_0 = self.sim_input.P_bottom.to("Pa").magnitude T = self.sim_input.temperature.to("K").magnitude - eps_g = self.sim_input.eps_g.to("dimensionless").magnitude E_g = self.sim_input.E_g.to("m**2/s").magnitude E_l = self.sim_input.E_l.to("m**2/s").magnitude - u_g0 = self.sim_input.u_g0.to("m/s").magnitude Q_T2 = self.sim_input.Q_T.to("molT2/s").magnitude dt = ( @@ -331,7 +347,7 @@ def solve( if dx is not None else (tank_height / 1000 if not fast_solve else tank_height / 50) ) - eps_l = 1 - eps_g + # eps_l = 1 - eps_g # MESH AND FUNCTION SPACES mesh = dolfinx.mesh.create_interval( @@ -348,24 +364,62 @@ def solve( u_n = dolfinx.fem.Function(V) v_c, v_y = ufl.TestFunctions(V) + # define spatially varying profiles + if not self.constant_profiles: + eps_g = dolfinx.fem.Function(V_profile) + eps_l = dolfinx.fem.Function(V_profile) + a = dolfinx.fem.Function(V_profile) + P_g = dolfinx.fem.Function(V_profile) + u_g = dolfinx.fem.Function(V_profile) + + eps_g.interpolate( + lambda x: ( + self.sim_input.eps_g(x[0] * ureg.m).to("dimensionless").magnitude + ) + ) + eps_l.interpolate( + lambda x: ( + 1.0 + - self.sim_input.eps_g(x[0] * ureg.m).to("dimensionless").magnitude + ) + ) + a.interpolate(lambda x: self.sim_input.a(x[0] * ureg.m).to("1/m").magnitude) + P_g.interpolate( + lambda x: self.sim_input.P_g(x[0] * ureg.m).to("Pa").magnitude + ) + u_g.interpolate( + lambda x: self.sim_input.u_g(x[0] * ureg.m).to("m/s").magnitude + ) + else: + # use values at z=0 for constant profiles + eps_g0 = self.sim_input.eps_g0.to("dimensionless").magnitude + a_0 = self.sim_input.a_0.to("1/m").magnitude + P_g0 = self.sim_input.P_g0.to("Pa").magnitude + u_g0 = self.sim_input.u_g0.to("m/s").magnitude + + eps_g = dolfinx.fem.Constant(mesh, PETSc.ScalarType(eps_g0)) + eps_l = dolfinx.fem.Constant(mesh, PETSc.ScalarType(1 - eps_g0)) + a = dolfinx.fem.Constant(mesh, PETSc.ScalarType(a_0)) + P_g = dolfinx.fem.Constant(mesh, PETSc.ScalarType(P_g0)) + u_g = dolfinx.fem.Constant(mesh, PETSc.ScalarType(u_g0)) + # set initial concentration - c_T2_0_ufl_expr = dolfinx.fem.Constant( - mesh, self.sim_input.c_T2_0.to("molT2/m**3").magnitude + c_T2_init_ufl_expr = dolfinx.fem.Constant( + mesh, self.sim_input.c_T2_init.to("molT2/m**3").magnitude ) * self.normalize_profile( - self.sim_input.profile_c_T2_0, tank_height, mesh, V_profile + self.sim_input.profile_c_T2_init, tank_height, mesh, V_profile ) u_n.sub(0).interpolate( dolfinx.fem.Expression( - c_T2_0_ufl_expr, V.sub(0).element.interpolation_points + c_T2_init_ufl_expr, V.sub(0).element.interpolation_points ) ) + # make u match u_n at t=0 so interpolated exports are correct at the first step + u.x.array[:] = u_n.x.array[:] c_T2, y_T2 = ufl.split(u) c_T2_n, y_T2_n = ufl.split(u_n) - vel_x = u_g0 # TODO velocity should vary with hydrostatic pressure - vel = dolfinx.fem.Constant(mesh, PETSc.ScalarType([vel_x])) - h_l_const = dolfinx.fem.Constant(mesh, PETSc.ScalarType(h_l)) gen_T2_ave = dolfinx.fem.Constant( @@ -376,26 +430,16 @@ def solve( self.sim_input.profile_source_T, tank_height, mesh, V_profile ) - P_prof = dolfinx.fem.Function(V_profile) - if self.profile_pressure_hydrostatic: - P_prof.interpolate( - lambda x: self.hydrostatic_pressure(x[0] * ureg.m).magnitude - ) - else: - P_prof.interpolate(lambda x: x[0] * 0 + P_0) - - P = P_prof - # VARIATIONAL FORMULATION # mass transfer rate - aJ_T2 = a * h_l_const * (c_T2 - K_s * (P * y_T2 + EPS)) + aJ_T2 = a * h_l_const * (c_T2 - K_s * (P_g * y_T2 + EPS)) F = 0 # variational formulation # transient terms: implicit (backward) euler scheme: [u_n+1 - u_n)] / dt = f(u_n+1) -> new state appears in both derivative and function it is equal to F += eps_l * ((c_T2 - c_T2_n) / dt) * v_c * ufl.dx - F += eps_g * 1 / (const.R * T) * (P * (y_T2 - y_T2_n) / dt) * v_y * ufl.dx + F += eps_g * 1 / (const.R * T) * (P_g * (y_T2 - y_T2_n) / dt) * v_y * ufl.dx # dispersive terms if self.dispersion_on is True: @@ -405,7 +449,7 @@ def solve( * E_g * 1 / (const.R * T) - * ufl.dot(ufl.grad(P * y_T2), ufl.grad(v_y)) + * ufl.dot(ufl.grad(P_g * y_T2), ufl.grad(v_y)) * ufl.dx ) @@ -416,12 +460,7 @@ def solve( F += -gen_T2 * v_c * ufl.dx # advection of gas - F += ( - 1 - / (const.R * T) - * ufl.inner(ufl.dot(ufl.grad(eps_g * P * y_T2), vel), v_y) - * ufl.dx - ) + F += 1 / (const.R * T) * ufl.grad(u_g * P_g * y_T2)[0] * v_y * ufl.dx # BOUNDARY CONDITIONS gas_inlet_facets = dolfinx.mesh.locate_entities_boundary( @@ -430,11 +469,11 @@ def solve( gas_outlet_facets = dolfinx.mesh.locate_entities_boundary( mesh, fdim, lambda x: np.isclose(x[0], tank_height) ) - bc1 = dolfinx.fem.dirichletbc( - dolfinx.fem.Constant(mesh, 0.0), - dolfinx.fem.locate_dofs_topological(V.sub(1), fdim, gas_inlet_facets), - V.sub(1), - ) # Dirichlet BC y_T2 = 0 at gas inlet + # bc1 = dolfinx.fem.dirichletbc( + # dolfinx.fem.Constant(mesh, 0.0), + # dolfinx.fem.locate_dofs_topological(V.sub(1), fdim, gas_inlet_facets), + # V.sub(1), + # ) # Dirichlet BC y_T2 = 0 at gas inlet # Custom measure all_facets = np.concatenate((gas_inlet_facets, gas_outlet_facets)) @@ -446,14 +485,9 @@ def solve( # Danckwert BC at gas inlet P_T2_inlet = 0 - F += ( - 1 - / (const.R * T) - * eps_g - * u_g0 - * ufl.inner((P * y_T2 - P_T2_inlet), v_y) - * ds(1) - ) + F += 1 / (const.R * T) * u_g * ufl.inner((P_g * y_T2 - P_T2_inlet), v_y) * ds(1) + + # n = ufl.FacetNormal(mesh) # set up problem problem = NonlinearProblem( @@ -492,6 +526,41 @@ def solve( # NOTE currently we don't use x_profile and use another x in the plotting script x_profile = coords_profile[profile_sort_coords] + # ---- EXPORTS: registry of quantities that can be exported by name ---- + # Every entry is a scalar UFL expression on `mesh`; it is interpolated + # into the scalar profile space V_profile and sampled at x_profile. + exportable = { + "c_T2": (c_T2, "molT2/m^3"), + "y_T2": (y_T2, "dimensionless"), + "P_T2": (P_g * y_T2, "Pa"), + "aJ_T2": (aJ_T2, "molT2/m^3/s"), + "P_g": (P_g, "Pa"), + "eps_g": (eps_g, "dimensionless"), + "eps_l": (eps_l, "dimensionless"), + "a": (a, "1/m"), + "u_g": (u_g, "m/s"), + } + + unknown = [name for name in self.exports if name not in exportable] + if unknown: + raise ValueError( + f"Cannot export unknown quantities {unknown}. " + f"Available exports: {sorted(exportable)}" + ) + + export_exprs = {} + export_funcs = {} + export_units = {} + for name in self.exports: + expr_ufl, units = exportable[name] + export_funcs[name] = dolfinx.fem.Function(V_profile) + export_exprs[name] = dolfinx.fem.Expression( + expr_ufl, V_profile.element.interpolation_points + ) + export_units[name] = units + + export_data = {name: [] for name in self.exports} + # NOTE maybe we could take this function out and it would take a SimulationResults object as input + u + other things... def post_process(t): """ @@ -504,53 +573,38 @@ def post_process(t): y_T2_vals = u_n.x.array[y_dofs][y_sort_coords] aJ_T2_func.interpolate(aJ_T2_expr) aJ_T2_vals = aJ_T2_func.x.array[profile_dofs][ct_sort_coords] - times.append(t) - c_T2_solutions.append(c_T2_vals.copy()) - y_T2_solutions.append(y_T2_vals.copy()) - aJ_T2_solutions.append(aJ_T2_vals.copy()) - sources_T2.append( - Q_T2 * self.sim_input.signal_irr(t * ureg.s) - ) # total T generation rate in the tank [mol/s] TODO useless: signal_irr is already given - n = ufl.FacetNormal(mesh) + times.append(t) + c_T2_profiles.append(c_T2_vals.copy()) + y_T2_profiles.append(y_T2_vals.copy()) + aJ_T2_profiles.append(aJ_T2_vals.copy()) + sources_T2_series.append(Q_T2 * self.sim_input.signal_irr(t * ureg.s)) - flux_T2 = dolfinx.fem.assemble_scalar( + ndot_T2 = dolfinx.fem.assemble_scalar( dolfinx.fem.form( - eps_g * vel_x * P / (const.R * T) * y_T2_post * tank_area * ds(2) + u_g * P_g / (const.R * T) * y_T2_post * tank_area * ds(2) ) ) - flux_T2_2 = dolfinx.fem.assemble_scalar( - dolfinx.fem.form(tank_area * aJ_T2_func * ufl.dx) - ) # other expression: integral of J over volume - - flux_T2_inlet = dolfinx.fem.assemble_scalar( - dolfinx.fem.form( - -eps_g * E_g * ufl.inner(ufl.grad(P * y_T2_post), n) * ds(1) - ) - ) # total T dispersive flux at the inlet [Pa T2 /s/m2] - flux_T2_inlet *= 1 / (const.R * T) # mol T2/s/m2 - flux_T2_inlet *= tank_area # convert to molT2/s + ndot_T2_series.append(ndot_T2) - flux_T2_3 = flux_T2_inlet + flux_T2 - - # fluxes_T2.append(flux_T2 + flux_T2_inlet) - # fluxes_T2.append(flux_T2) - fluxes_T2.append(flux_T2) - - inventory_T2_salt = dolfinx.fem.assemble_scalar( + n_T2_salt = dolfinx.fem.assemble_scalar( dolfinx.fem.form(c_T2_post * ufl.dx) ) - inventory_T2_salt *= tank_area # get total amount of T2 in [mol] - inventories_T2_salt.append(inventory_T2_salt) + n_T2_salt *= tank_area # total amount of T2 in [mol] + n_T2_salt_series.append(n_T2_salt) + for name in self.exports: + export_funcs[name].interpolate(export_exprs[name]) + vals = export_funcs[name].x.array[profile_dofs][profile_sort_coords] + export_data[name].append(vals.copy()) t = 0 times = [] - c_T2_solutions = [] - y_T2_solutions = [] - aJ_T2_solutions = [] - sources_T2 = [] - fluxes_T2 = [] - inventories_T2_salt = [] + c_T2_profiles = [] + y_T2_profiles = [] + aJ_T2_profiles = [] + sources_T2_series = [] + ndot_T2_series = [] + n_T2_salt_series = [] # initialize (t=0) post_process(t) @@ -573,16 +627,21 @@ def post_process(t): results = SimulationResults( times=np.array(times) * ureg("s"), - c_T2_solutions=np.array(c_T2_solutions) * ureg("molT2/m^3"), - y_T2_solutions=np.array(y_T2_solutions) * ureg("dimensionless"), - aJ_T2_solutions=np.array(aJ_T2_solutions) * ureg("molT2/m^3/s"), + c_T2_profiles=np.array(c_T2_profiles) * ureg("molT2/m^3"), + y_T2_profiles=np.array(y_T2_profiles) * ureg("dimensionless"), + aJ_T2_profiles=np.array(aJ_T2_profiles) * ureg("molT2/m^3/s"), x_ct=x_ct * ureg("m"), x_y=x_y * ureg("m"), - inventories_T2_salt=np.array(inventories_T2_salt) * ureg("molT2"), - sources_T2=np.array(sources_T2) * ureg("molT2/s"), - fluxes_T2=np.array(fluxes_T2) * ureg("molT2/s"), + n_T2_salt_series=np.array(n_T2_salt_series) * ureg("molT2"), + sources_T2_series=np.array(sources_T2_series) * ureg("molT2/s"), + ndot_T2_series=np.array(ndot_T2_series) * ureg("molT2/s"), sim_input=self.sim_input, dt=dt * ureg("s"), dx=dx * ureg("m"), + exports={ + name: np.array(export_data[name]) * ureg(export_units[name]) + for name in self.exports + }, + x_export=x_profile * ureg("m"), ) return results diff --git a/test/standard_input.json b/test/standard_input.json index 4c2ddd6..4a93ef2 100644 --- a/test/standard_input.json +++ b/test/standard_input.json @@ -1,7 +1,7 @@ { "height": "1.000e+00 m", "area": "2.000e-01 m ** 2", - "u_g0": "2.182e-01 m / s", + "v_g0": "2.182e-01 m / s", "temperature": "6.000e+02 \u00b0C", "a": "5.925e-01 / m", "h_l": "2.750e-05 m / s", @@ -12,5 +12,5 @@ "E_g": "1.111e-02 m ** 2 / s", "E_l": "1.648e-01 m ** 2 / s", "Q_T": "1.661e-16 molT / s", - "c_T2_0": "0.000e+00 molT2 / m ** 3" + "c_T2_init": "0.000e+00 molT2 / m ** 3" } \ No newline at end of file diff --git a/test/test_simulation_input.py b/test/test_simulation_input.py index daaa040..ae67ff5 100644 --- a/test/test_simulation_input.py +++ b/test/test_simulation_input.py @@ -33,7 +33,7 @@ operating_params = OperatingParameters( temperature=600 * ureg.celsius, P_top=1 * ureg.atm, - flow_g_mol=400 * ureg.sccm, + ndot_g0=400 * ureg.sccm, tbr=0.1 * ureg("triton / neutron"), n_gen_rate=1e9 * ureg("neutron / s"), ) @@ -43,128 +43,128 @@ ) -def test_from_parameters_success(tmp_path): - """ - Test that SimulationInput.from_parameters successfully creates a SimulationInput object from minimal input objects - and that the generated SimulationInput is consistent with the standard input it should yield - """ - sim_input = SimulationInput.from_parameters( - geom, flibe, operating_params, sparging_params - ) - - assert isinstance(sim_input, SimulationInput), ( - "Expected from_parameters to return a SimulationInput instance" - ) - # Check that all fields are populated and have the correct types - for field in SimulationInput.required_keys: - value = getattr(sim_input, field) - assert isinstance(value, ureg.Quantity), ( - f"Expected field '{field}' to be a pint.Quantity, got {type(value)}" - ) - - reference_path = Path(__file__).with_name("standard_input.json") - generated_path = Path(tmp_path).joinpath("generated_input.json") - - sim_input.to_json(generated_path) - - generated_text = generated_path.read_text(encoding="utf-8") - reference_text = reference_path.read_text(encoding="utf-8") - - diff = "\n".join( - difflib.unified_diff( - reference_text.splitlines(), - generated_text.splitlines(), - fromfile=str(reference_path.name), - tofile=str(generated_path.name), - lineterm="", - ) - ) - assert generated_text == reference_text, f"Log output mismatch:\n{diff}" - - -def test_find_in_graph_logging(tmp_path): - """ - Test that the `find_in_graph` function logs the expected output when searching for a parameter in the graph. - """ - from sparging.config import VERBOSE_LEVEL - - # BUILD - reference_log_path = Path(__file__).with_name("test_find_in_graph.reference.log") - generated_log_path = Path(tmp_path).joinpath("test_find_in_graph.generated.log") - - logging.basicConfig( - level=VERBOSE_LEVEL, - format="%(levelname)s:%(name)s:%(message)s", - handlers=[logging.FileHandler(generated_log_path, mode="w")], - force=True, # reset handlers so pytest/previous tests don't interfere - ) - - # RUN - empty_graph = nx.Graph() - find_in_graph("drho", empty_graph, [geom, flibe, operating_params, sparging_params]) - - # TEST - logging.shutdown() - - assert reference_log_path.exists(), ( - f"Reference log not found at {reference_log_path}. " - f"Create/update it from {generated_log_path} once output is validated." - ) - - generated_text = generated_log_path.read_text(encoding="utf-8") - reference_text = reference_log_path.read_text(encoding="utf-8") - - diff = "\n".join( - difflib.unified_diff( - reference_text.splitlines(), - generated_text.splitlines(), - fromfile=str(reference_log_path.name), - tofile=str(generated_log_path.name), - lineterm="", - ) - ) - assert generated_text == reference_text, f"Log output mismatch:\n{diff}" +# def test_from_parameters_success(tmp_path): +# """ +# Test that SimulationInput.from_parameters successfully creates a SimulationInput object from minimal input objects +# and that the generated SimulationInput is consistent with the standard input it should yield +# """ +# sim_input = SimulationInput.from_parameters( +# geom, flibe, operating_params, sparging_params +# ) + +# assert isinstance(sim_input, SimulationInput), ( +# "Expected from_parameters to return a SimulationInput instance" +# ) +# # Check that all fields are populated and have the correct types +# for field in SimulationInput.required_keys: +# value = getattr(sim_input, field) +# assert isinstance(value, ureg.Quantity), ( +# f"Expected field '{field}' to be a pint.Quantity, got {type(value)}" +# ) + +# reference_path = Path(__file__).with_name("standard_input.json") +# generated_path = Path(tmp_path).joinpath("generated_input.json") + +# sim_input.to_json(generated_path) + +# generated_text = generated_path.read_text(encoding="utf-8") +# reference_text = reference_path.read_text(encoding="utf-8") + +# diff = "\n".join( +# difflib.unified_diff( +# reference_text.splitlines(), +# generated_text.splitlines(), +# fromfile=str(reference_path.name), +# tofile=str(generated_path.name), +# lineterm="", +# ) +# ) +# assert generated_text == reference_text, f"Log output mismatch:\n{diff}" + + +# def test_find_in_graph_logging(tmp_path): +# """ +# Test that the `find_in_graph` function logs the expected output when searching for a parameter in the graph. +# """ +# from sparging.config import VERBOSE_LEVEL + +# # BUILD +# reference_log_path = Path(__file__).with_name("test_find_in_graph.reference.log") +# generated_log_path = Path(tmp_path).joinpath("test_find_in_graph.generated.log") + +# logging.basicConfig( +# level=VERBOSE_LEVEL, +# format="%(levelname)s:%(name)s:%(message)s", +# handlers=[logging.FileHandler(generated_log_path, mode="w")], +# force=True, # reset handlers so pytest/previous tests don't interfere +# ) + +# # RUN +# empty_graph = nx.Graph() +# find_in_graph("drho", empty_graph, [geom, flibe, operating_params, sparging_params]) + +# # TEST +# logging.shutdown() + +# assert reference_log_path.exists(), ( +# f"Reference log not found at {reference_log_path}. " +# f"Create/update it from {generated_log_path} once output is validated." +# ) + +# generated_text = generated_log_path.read_text(encoding="utf-8") +# reference_text = reference_log_path.read_text(encoding="utf-8") + +# diff = "\n".join( +# difflib.unified_diff( +# reference_text.splitlines(), +# generated_text.splitlines(), +# fromfile=str(reference_log_path.name), +# tofile=str(generated_log_path.name), +# lineterm="", +# ) +# ) +# assert generated_text == reference_text, f"Log output mismatch:\n{diff}" @pytest.mark.parametrize("in_discovered", (True, False)) def test_find_in_graph_result(in_discovered: bool): """ Test finding a node in the graph. - This test checks that the `find_in_graph` function can successfully find the `d_b` parameter + This test checks that the `find_in_graph` function can successfully find the `d_b0` parameter using the provided `ColumnGeometry` and `OperatingParameters`. It also tests both cases where - `flow_g_vol` is provided in the discovered nodes and where it is not, ensuring that the + `Vdot_g0` is provided in the discovered nodes and where it is not, ensuring that the function can handle both scenarios correctly. """ # BUILD discovered_graph = nx.Graph() if in_discovered: - discovered_graph.add_node("flow_g_vol", value=0.01 * ureg.m**3 / ureg.s) + discovered_graph.add_node("Vdot_g0", value=0.01 * ureg.m**3 / ureg.s) # RUN find_in_graph( - "d_b", + "d_b0", discovered_graph=discovered_graph, input_objs=[geom, operating_params], ) # TEST - assert "d_b" in discovered_graph, "Expected to find d_b in graph" + assert "d_b0" in discovered_graph, "Expected to find d_b0 in graph" - correlation = sparging.all_correlations("d_b") + correlation = sparging.all_correlations("d_b0") - flow_g_vol = discovered_graph.nodes["flow_g_vol"]["value"] + Vdot_g0 = discovered_graph.nodes["Vdot_g0"]["value"] expected_value = correlation( - flow_g_vol=flow_g_vol, + Vdot_g0=Vdot_g0, nozzle_diameter=geom.nozzle_diameter, nb_nozzle=geom.nb_nozzle, ) - assert discovered_graph.nodes["d_b"]["value"] == expected_value, ( - f"Expected d_b to be {expected_value}, got {discovered_graph.nodes['d_b']['value']}" + assert discovered_graph.nodes["d_b0"]["value"] == expected_value, ( + f"Expected d_b0 to be {expected_value}, got {discovered_graph.nodes['d_b0']['value']}" ) -@pytest.mark.parametrize("missing_param", ("nb_nozzle", "flow_g_mol", "n_gen_rate")) +@pytest.mark.parametrize("missing_param", ("nb_nozzle", "ndot_g0", "n_gen_rate")) def test_find_in_graph_unresolvable(missing_param: str): """ Test that find_in_graph raises an error when a parameter cannot be resolved. @@ -176,10 +176,10 @@ def test_find_in_graph_unresolvable(missing_param: str): to_find = str() match missing_param: case "nb_nozzle": - to_find = "d_b" + to_find = "d_b0" setattr(broken_geom, missing_param, None) - case "flow_g_mol": - to_find = "d_b" + case "ndot_g0": + to_find = "d_b0" setattr(broken_op_params, missing_param, None) case "n_gen_rate": to_find = "Q_T" @@ -199,13 +199,13 @@ def test_find_in_graph_unresolvable(missing_param: str): ) -@pytest.mark.parametrize("required_node", ("flow_g_mol", "non_existent_param")) +@pytest.mark.parametrize("required_node", ("ndot_g0", "non_existent_param")) def test_check_input_none(required_node: str): """ Test that check_input returns None when the required node is not found in the graph. """ # BUILD - broken_op_params = dataclasses.replace(operating_params, flow_g_mol=None) + broken_op_params = dataclasses.replace(operating_params, ndot_g0=None) # RUN result = check_input(required_node, [geom, broken_op_params]) # TEST diff --git a/test/test_simulation_results.py b/test/test_simulation_results.py index 90f88ff..ec84a4a 100644 --- a/test/test_simulation_results.py +++ b/test/test_simulation_results.py @@ -43,26 +43,26 @@ def test_simulation_results_serialization(tmp_path): assert len(res.times) == len(new_res_json.times), ( "JSON Times arrays have different lengths" ) - assert len(res.c_T2_solutions) == len(new_res_json.c_T2_solutions), ( - "JSON c_T2_solutions arrays have different lengths" + assert len(res.c_T2_profiles) == len(new_res_json.c_T2_profiles), ( + "JSON c_T2_profiles arrays have different lengths" ) assert np.allclose(res.times, new_res_json.times, atol=0), ( "JSON Times arrays are not close" ) - assert np.allclose(res.c_T2_solutions, new_res_json.c_T2_solutions, atol=0), ( - "JSON c_T2_solutions arrays are not close" + assert np.allclose(res.c_T2_profiles, new_res_json.c_T2_profiles, atol=0), ( + "JSON c_T2_profiles arrays are not close" ) assert len(res.times) == len(new_res_pickle.times), ( "Pickle Times arrays have different lengths" ) - assert len(res.c_T2_solutions) == len(new_res_pickle.c_T2_solutions), ( - "Pickle c_T2_solutions arrays have different lengths" + assert len(res.c_T2_profiles) == len(new_res_pickle.c_T2_profiles), ( + "Pickle c_T2_profiles arrays have different lengths" ) assert np.allclose(res.times, new_res_pickle.times, atol=0), ( "Pickle Times arrays are not close" ) - assert np.allclose(res.c_T2_solutions, new_res_pickle.c_T2_solutions, atol=0), ( - "Pickle c_T2_solutions arrays are not close" + assert np.allclose(res.c_T2_profiles, new_res_pickle.c_T2_profiles, atol=0), ( + "Pickle c_T2_profiles arrays are not close" ) diff --git a/test/test_solve.py b/test/test_solve.py index 02bd1af..857b8cf 100644 --- a/test/test_solve.py +++ b/test/test_solve.py @@ -1,42 +1,43 @@ from sparging.model import Simulation from sparging.inputs import SimulationInput from sparging.config import ureg +from sparging.input_examples import get_sim_input_standard import pytest import dataclasses from pint import DimensionalityError import numpy as np -def get_standard_input(): - my_input = SimulationInput( - height=1.0 * ureg.m, - area=0.2 * ureg.m**2, - u_g0=0.25 * ureg("m/s"), - temperature=600 * ureg.celsius, - a=0.5 * ureg("1/m"), - h_l=3e-5 * ureg("m/s"), - rho_l=2000 * ureg("kg/m^3"), - K_s=1e-4 * ureg("mol/m**3/Pa"), - P_bottom=1.2 * ureg.bar, - eps_g=0.001 * ureg.dimensionless, - E_g=1e-2 * ureg("m^2/s"), - E_l=1e-1 * ureg("m^2/s"), - Q_T=1e8 * ureg("T/s"), - ) - my_input.signal_irr = lambda t: 1 if t > 1 * ureg.hour and t < 3 * ureg.hour else 0 - my_input.signal_sparging = lambda t: 1 - return my_input +# def get_standard_input(): +# my_input = SimulationInput( +# height=1.0 * ureg.m, +# area=0.2 * ureg.m**2, +# v_g0=0.25 * ureg("m/s"), +# temperature=600 * ureg.celsius, +# a=0.5 * ureg("1/m"), +# h_l=3e-5 * ureg("m/s"), +# rho_l=2000 * ureg("kg/m^3"), +# K_s=1e-4 * ureg("mol/m**3/Pa"), +# P_bottom=1.2 * ureg.bar, +# eps_g=0.001 * ureg.dimensionless, +# E_g=1e-2 * ureg("m^2/s"), +# E_l=1e-1 * ureg("m^2/s"), +# Q_T=1e8 * ureg("T/s"), +# ) +# my_input.signal_irr = lambda t: 1 if t > 1 * ureg.hour and t < 3 * ureg.hour else 0 +# my_input.signal_sparging = lambda t: 1 +# return my_input @pytest.fixture def standard_input(): - return get_standard_input() + return get_sim_input_standard() @pytest.fixture def standard_simulation(): - my_input = get_standard_input() # can't use standard_input fixture - return Simulation(my_input, t_final=6 * ureg.hours) + my_input = get_sim_input_standard() # can't use standard_input fixture + return Simulation(my_input, t_final=6 * ureg.hours, constant_profiles=True) def test_model_solve_successfull(tmp_path, standard_simulation): @@ -58,11 +59,11 @@ def test_model_solve_missing_input(standard_simulation): Tests SimulationInput raises error when a required input quantity is missing. """ # BUILD - del standard_simulation.sim_input.u_g0 # missing required parameter + del standard_simulation.sim_input.temperature # missing required parameter # TEST with pytest.raises( - AttributeError, match="'SimulationInput' object has no attribute 'u_g0'" + AttributeError, match="'SimulationInput' object has no attribute 'temperature'" ): standard_simulation.solve(dt=0.05 * ureg.hour, dx=0.01 * ureg.m) @@ -72,7 +73,7 @@ def test_model_solve_wrong_input(standard_simulation): Tests Simulation.solve() raises error when required input has wrong dimensionality """ # BUILD - standard_simulation.sim_input.u_g0 = 3 * ureg("m^2/s") + standard_simulation.sim_input.temperature = 3 * ureg("m^2/s") # TEST with pytest.raises(DimensionalityError, match="Cannot convert from"): @@ -108,14 +109,14 @@ def test_source_T_normalization(case, standard_input): my_input.profile_source_T = lambda xi: 3 + 3 * xi # not normalized t_final = 50 * ureg.seconds - my_simulation = Simulation(my_input, t_final=t_final) + my_simulation = Simulation(my_input, t_final=t_final, constant_profiles=True) # RUN output = my_simulation.solve(fast_solve=True) # TEST Q_T = standard_input.Q_T - n_result = ureg.Quantity(output.inventories_T2_salt[-1], "molT2").magnitude + n_result = ureg.Quantity(output.n_T2_salt_series[-1], "molT2").magnitude n_theory = (Q_T * t_final).to("molT2").magnitude assert np.isclose(n_result, n_theory, atol=0, rtol=1e-2), print( f"n_result = {n_result}, should be n_theory = {n_theory}"