{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Meet PyMKS\n", "\n", "In this short introduction, we will demonstrate the functionality in PyMKS. We will quantify microstructures using 2-point statistics, predict effective properties using homogenization and predict local properties using localization. If you would like more technical details about any of these methods please see the [theory section](THEORY.html)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pymks\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quantify Microstructures using 2-Point Statistics\n", "\n", "Lets make two dual-phase microstructures with different morphologies." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.datasets import make_microstructure\n", "import numpy as np\n", "\n", "X_1 = make_microstructure(n_samples=1, grain_size=(25, 25))\n", "X_2 = make_microstructure(n_samples=1, grain_size=(95, 15))\n", "\n", "X = np.concatenate((X_1, X_2))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Throughout PyMKS `X` is used to represent microstructures. Now that we have made the two microstructures, lets take a look at them." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_microstructures\n", "\n", "draw_microstructures(X)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the 2-point statistics for these two periodic microstructures using the `correlate` function from `pymks.stats`. This function computes all of the autocorrelations and cross-correlation(s) for a microstructure. Before we compute the 2-point statistics, we will discretize them using the `PrimitiveBasis` function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks import PrimitiveBasis\n", "from pymks.stats import correlate\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2, domain=[0, 1])\n", "X_corr = correlate(X, p_basis, periodic_axes=[0, 1])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the two autocorrelations and the cross-correlation for these two microstructures." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(101, 101, 3)\n" ] }, { "data": { "image/png": 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VxSOoJ6v/U1nGqS+NQzqn9KJpXprpBa/MX57dHznR7Abyudl2zMsB7UoqlWTO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\n5UlsznJhDlxvyRXYOo/gfkzHBq7MvC3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lxnqZ1HXP82xLTynJyjODL4idRREnIsfDl/yS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\nNYRoKb9nI2YVnu5VOycyysdB46pW4+vl0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YbVzyzO64RLeF+unGopmDZGV/pZK28M8sxV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\nFi5ciEWLFqGtrQ1NTU1G2169euHo0aOx+y5aJOgSlVop8z00mBVXuqLMx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ZF2nXp/lmHy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\nCIIg1Bz/H8t3C8IOs5FXAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_correlations\n", "\n", "print X_corr[0].shape\n", "\n", "draw_correlations(X_corr[0])\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wpn3Kg8laMaFpqaTJgD1LSFKTARoNUL7cZtJkIB31YNPk8PjwtRGaDMS67KLJ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\nyLLKS44mV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h0bNmzAWWedZYzoukXffis7D3xhyFiVWmewZPaOYSiAJJ+UKZfX05ilhRjp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\nAWNHJ5esbihMySiSDAaLp9qMRMIlUdiLlksiF7TwW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_correlations(X_corr[1])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2-Point statistics provide an object way to compare microstructures, and have been shown as an effective input to machine learning methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predict Homogenized Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section of the intro, we are going to predict the effective stiffness for two-phase microstructures using the `MKSHomogenizationModel`, but we could have chosen any other effective material property. \n", "\n", "First we need to make some microstructures and their effective stress values to fit our model. Let's create 200 random instances 3 different types of microstructures, totaling to 600 microstructures." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.datasets import make_elastic_stress_random\n", "\n", "\n", "grain_size = [(47, 6), (4, 49), (14, 14)]\n", "n_samples = [200, 200, 200]\n", "\n", "X_train, y_train = make_elastic_stress_random(n_samples=n_samples, size=(51, 51),\n", " grain_size=grain_size, seed=0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once again, `X_train` is our microstructures. Throughout PyMKS `y` is used as either the property, or the field we would like to predict. In this case `y_train` is the effective stress values for `X_train`. Let's look at one of each of the three different types of microstructures." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_microstructures(X_train[::200])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `MKSHomogenizationModel` uses 2-point statistics, so we need to provide a discretization method for the microstructures by providing a basis function. We will also specify which correlations we want." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks import MKSHomogenizationModel\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2, domain=[0, 1])\n", "homogenize_model = MKSHomogenizationModel(basis=p_basis, periodic_axes=[0, 1],\n", " correlations=[(0, 0), (1, 1), (0, 1)])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's fit our model with the data we created." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "homogenize_model.fit(X_train, y_train)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's make some new data to see how good our model is." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n_samples = [10, 10, 10]\n", "X_test, y_test = make_elastic_stress_random(n_samples=n_samples, size=(51, 51),\n", " grain_size=grain_size, seed=100)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will try and predict the effective stress of our `X_test` microstructures." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = homogenize_model.predict(X_test)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `MKSHomogenizationModel` generates low dimensional representations of microstructures and regression methods to predict effective properties. Take a look at the low-dimensional representations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dvHnT7P/acvPmTXbu3ElUVJTgFrPn3m3Nkm5lv4kzChGRFkBjzKCay6ysU6dO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\ng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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_components_scatter\n", "\n", "\n", "draw_components_scatter([homogenize_model.reduced_fit_data[:,:2],\n", " homogenize_model.reduced_predict_data[:,:2]], \n", " ['Training Data', 'Test Data'])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's look at a goodness of fit plot for our `MKSHomogenizationModel`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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JYfr06RiNRlJTUxtUZ8Ktw5W439Yxj+O5Z/CZdLv7MOOJt2P69kSddo6VNvcy\ntWLeeRX/MrW65ZL50MQtF6VSiVJZexFcrRiTyST12584cYKHH35YWiU3OzvbrU+/sV2LvtOm6o89\nceIE0dHReHh4YLfbAVCr1bRs2ZKsrCy6d+9Oq1at2LhxI5s3byYmJkb6Qr8WLs7f/PbbbyQmJpKb\nmyvljgDy8/Ov+P/49OnTfP/992RnZ1NZWen2WkG4ksysTCbNeJTK8e2cAcVTUWueRROgr/MM+xtx\nc6/G1qxzLh9//DH79+9n6tSpgHPLWo1GAzi/GI3Ga7tc9bXoO22q/tiKigr279/P/v37a5xz1Wl8\nfDwWi4WkpCQSEhLQarX07t2bYcOGNWpZTCYTVVVV6HQ6wBkcPv30U7p27cqQIUPw9vbGZrOxePHi\nGnvXX6ygoID333+fiIgIJkyYgF6vR6FQsHTp0iu+VhAyszKZuuBp8nzM+LgCitlW60x7rUN0sdZH\nsw4ujzzyCJMnT+bll18mPj5eCih6vZ7KykrpS/FCKSkppKSkSL+PGzdO+hKrjUKhuOS5a9F32lT9\nsRqNhnbt2jFo0KAarQa1Wg04W4sDBgxgwIABFBcXs3//fr7//nv8/f3p1q1bo5Xl+PHjANKQ4sOH\nD+Pn58eUKVOka/Ly8up0r9TUVBwOBw8//LD0/9JisVBVVdVo5W1MCoXisp/HpuDp6dnsynQtpWek\ns/CDd8g1FnFo/0GMAXLsJVVSQNEOjKD0q0P4TLxdGmZsWJnCp3OW3FL1BLBq1Srp59jYWGJjY+v8\n2mYbXKxWK0qlEg8PDymIREZGcuTIEXr27ElGRgatWrWq8braKuBy25Ze7sMi9Z1+8B6OAufIrgff\naNjIrmtxz7qIjIzk2LFjhIaGXjaguvj5+TFkyBD27NlDbm4uUB2IrVbrVZfDYDDw7bffEhoaSocO\nHQBnMLi4TK480IUUCkWN1ojFYkEul7t13x04cOCqy3et2Wy2Zrel8M2+zfGFM+zVVgVppWcxDGmB\nXKVEefttyDYcRTsogtL/HcZnQhyqiAAcFitFS5KQ+3jhUWHjswXvcfttt9/U9XQxnU7HuHHjrvr1\nTRpcbDYbr7/+OhkZGSxYsICJEyeyY8cOpk+fzrJlyzh37hxWq5WRI0cCMHDgQBYtWkRCQgKDBg2q\n05dkQ12LvtOm6I8dOHAgBw8eZMmSJfTu3RsfHx/Kyso4efIkUVFRxMXF8eWXX+Lr60tYWBheXl4c\nO3aM0tLGcSCDAAAgAElEQVRSaXRXSEgI4NyC+Pbbb0elUl12gqbNZiM9PR2AqqoqaRKlw+Hgj3/8\no3RdVFQUu3fvZsOGDURHR3Pq1CkOHjxY434hISGkpKTQsWNHPD09CQkJITIykk2bNvHVV19x9913\nk52dzY4dO1CpVI1Ye8KNKmlvEo+8NgNziAq5Qo690oJuVCe3ZL1uVCcMiSeRqz2oSEgDucw5eOSh\nrsi9PemT6keP7j2a+EluPDJHfWfG3YDOnTt3yXM3019tJpOJv/3tb0ycOLHWbqySkhI2bdrEsWPH\nqKqqQq/XEx4ezuDBgwkKCmLPnj3s27eP3NxcbDYbQUFB9OvXTxr6C84Re7t27aK0tJSgoKBLznOp\nbfmXwMBAYmJi6NOnD1qt1u36xMREdu7cSVVVFeHh4YwePZqFCxcyfvx4evRw/sNOT09n7dq15OTk\nYLFYpHkue/fu5YcffqC8vJzWrVtz//338+GHH9KjR49mtz95c/y8NccyNVRmViavLnmTH1P3IQ/W\noIoNwZSSiyW3goDHav7bKNt4FE2vthi2n3Zb6dhnW8EVR4fdrK52NKiLCC434T8soflqjp+35lim\nhrh4PTC7yUrpimTwkCPXeqIbEV0jWW9IPIluRDSW82WYVh6la7e7pE3AbsXAAg0PLs025yIIgnA1\nalsPzGfKHVQkpGEtqaRsfSr60TFS4CnfcBTtgHDsJitViWf47PX3RDdYIxDBRRCEm0ZmVia7kvdS\nfsaONafCmT8BFP4aHA4HvhNup3z9UQyJJ1EX24ltEc6JYgXm79JROzz5dM4Sbr/t9qZ+jJuCCC6C\nINzwMrMyeeXdf7An8whekzrh42qVbDyGJj4M484MbCVV2CvMyNRKtIMj6JPqV2NS5M3WRdiUxE6U\ngiDc0Fw5lh3FqXj94aKRYCOjnbtGjuqER4g3xp3pYHfc0jtEXi8iuAiCcENz5ViQy2pdtsXhcDiP\ny2XYcg308Yu5ZUeAXU+iW0wQhBuSa3LkluRdWLM9cVxi2RaZTObc197uoH9sdz5auLgJS33rEC0X\nQRBuOJlZmUya/yQ7YopRT49DOzgCu9FC2fpUZyABKefidWdLyjccJciqZfaTzzdxyW8douUiCMIN\n569zX6ByeEv34cbjbqN8/VEqEtKQF5jwtnuiVYAy4Sx9w29jzl9fFF1h19EtH1wcDsctsxidQqG4\n5nvg3Ciaqi5ugTnLjcbV7ZWZf45zWdlYPEFmtqGocpBbWUSQyn2zQLlKiazUzL139WPG3Ft38mNz\nccsHl4qKiqYuwnUjhllWE3XRvLlGgOW3k2E4k45HCx3IZWCXYSs1IXd4YDlfhkeoXnqN3WRFr1TX\nec8V4doSORdBEJoV1+ZdZw35lG84hsLXC+9hkehHdsJ7WCRytQeKQA1lay/Kr2w4yu3hMU1cesHl\nlm+5CILQfLhaLJXj2+GjUlK2PtUZUC7IrWjiw/BbfogQlQd57+/nbAstMi8lwXI9c/76YhM/geAi\ngosgCE3KlVs5lZtB6pFUfP/ao3o48UVzV2wFBnptPsOHw+KkzfYe/zmN0qjbeP3FeSLP0oyIbjFB\nEJpMZlYmE+f+mR0xxeQM80cR6e8WTKQ5Kr8L+imDD7u0k7YJ13oo+KBvJCVpqde97MLlieAiCEKT\nyMzK5IEnHqRqeOvqbi+F3C2YqHuGUb7hqHQs0GSTAouL1kOBPsCTt5ctvX6FF65IdIsJgnBdXbjI\nZKXdSMDvgcVWYCCs3Iz/hwcoaqGloH975DoV9iorRR/uwyPMl+zThRhi2rgFGIPFRqFKgayypKke\nSaiFCC6CIFxTrmBy6FQqdqWcyvIKTBpQaFU48i3YTVYc5SZ6bDwhdXkZLDYe+V8K24PVeA8Kp3zD\nUXxGx5BdYeKxX8/wYdf20nWPHUwnd2h7OuX6NvWjChcQwUUQhGsmMyuTSbOfIMdQiMLfC+QO0Gtw\nnC9DMzQSmaeS8g1HaYesRi7l496RDDhxlvRdmch91c51w7xVHJApGfLjCXyDvShUKcgd2h7/Q5XM\nmCVWOW5ORHARBOGquUZ65VeW1Lot8NvLlpJrKUGu9pCGFLvmpBh3ZOAz7ja0A8Lx//Iw2piauRS/\nnAryxsZQue8s5V8d5u7QTrwxd550b1llCZ1yfZkxS8zIb25EcBEE4aq45qQU3aGh6sA57DY7W574\nmQWP/o3tybvJryzhaOpRbOZK/B6+y32flVGdKPpgLwAyhwODzYHBYquRSylu4Y1lawZ9wm5jzlz3\ntcHETPzmTQQXQRCuytvLllJ0hwbjrkx0I6ORq5RYzpcx87PX0U+63bnW153R8OmBWvdZkXt5UHkg\nm76H85l9Z3sW7D3NS907SLmUR386RnD07Xws5q/ckERwEQThquRXljh3efw9sABUHTgnBRZwBhFl\noKbWfVaUId4EbTnFh0OdEyL/FNeaRb9mYLE72FlQyfNvL6V79x5N8mxCw4ngIgjCVQlS+2K32ZGr\nlFgLjRh+PI21wIC6wowh8SQOhwOZTIZXl5aUrkjGZ8od1TmXjcfQ9u9A8KkSqSssTK/m7907ADDv\nvEoElhucCC6CIFyV/nf0Yt33Gyk4U4zMU4EySIvDaqf0f4dRttYjV8jxurMlxp0ZWHLKqUhIA7kM\nmUyGtn8H5N6e5FmsteZaZDq/JnwyoTFcMbjMnz+/3jeVyWTMmTPnqgokCELzl7Q3iZkfvoZnxwB0\nozpJLZLSFcl4D4/EI1QvtVA0vdtiOlmIrciIz6Tq1kvpV4eouqcdj+88yQe9I6Rcy6vHK3jwjaea\n+hGFBrpicMnLy6txzGQySXthaDQaAIxGI+DcJ8PLy6sxyygIQjPzl9deRN5CW2PFYp8pd2BIPInH\nCL1zVNjIaAyJJ1G28EYVF0rhol3Ifbywl5lQe6kZrIpl4isv8a+Na3EUFCPT+fHgG0/RWiTwb3hX\nDC5Llixx+z03N5f58+dz7733MmbMGHx9nbNiS0pKWLduHfv37xetFkG4iWVmZVJYWYrsvJKKH04g\nk8lQ9wxDGaBBrlK67bYpVymx2+w4Kky0Ol2Mv9qL4kAduSOj6ZfbWhpOLPIrN59651w+//xzIiMj\nmTZtmttxX19fpk2bRklJCZ999hkvvPBCY5VREIRm5M8vPotM64nvg12qu7j+dxi52gNNn7bIZDLp\nWrvJiiWtgGF6DR91bI02xtn19ae1J5j4iuj6upnVe1XklJQUYmIuvdtbTEwMqali+WtBuJlkZmXy\nyPNP0nlId1JzT+H7YBfsFWbKvz1GxQ8nUPh64bDbqfg+DY9wP2wFBvxW/0bE0n3EmeCj7hFuS7u8\n3zuCPRvXNvFTCddSvVsuMpmM7OzsS54/e/ZsgwokCELz4FraJS3jFGnpJ3HoPEBpxyPMD3uFGcP2\n09IcF1frxfveSMrWHGEIHnzcJxJtjIL5e07Vuky+o6C4iZ5MuB7q3XKJi4vjhx9+4KeffnLrW3U4\nHPz4448kJiYSFxfXqIUUBOH6ci3t8mOLbNJKz+Lz527ox8SCSoFcIce4M91t8qRcpcRnQhxVB84R\nZrQ5A8vvAcVDLsNgsbndXww3vvnVu+Xy0EMPcerUKZYuXcqXX35JixYtAMjJyaGkpITAwEAeeuih\nRi+oIAjXVtLeJGb+ay4GuZnKnFJsoV7Y1puROaB0zW/YCo14hOrwurMl5d+l1bqki91mJ8RD6dZS\nmdIptMbSLmK48c2v3sElICCAN998k3Xr1vHLL79w8uRJAEJCQrjnnnsYPXo0Wq220QsqCELjcnV7\nnS3OJePkaYqoRBmiRRUbgnlbBY7z5eChQNnOD7lCjveADlRsOYVhRzoKvarWJV0sZ4optcjdJkaG\n6dVMjWnJw/vyiO7QTgw3vkXIHBf2bd2kzp0719RFaBZ0Op00P+lWd6vXhavbK7+djMp92XgPiZBW\nNracLgKFDIWPGp8JcW5LtmjiwzDuyADAbjTjM/F26XzJfw9iyy5n5ZJlbFv8BrOjvC9qqSxu9gHl\nVv9cXKhly5YNer1Y/kUQbkFvL1tKfjsZFYmn8PlDZ7eVje0mKyWf/0p7hYLgb45R4CEn/5620oRI\nmVqJfmQnLOfLKPn0AMhl2KssIINFc/5B9+49aNVyMf/64D0xMfIWdlXBpaCggFWrVnH48GFKS0t5\n6aWX6Ny5M2VlZaxYsYIhQ4YQERHR2GUVBKEBLtzY68gvByk3V6LwV9dY2dhRbmKoTMGHndtWbyW8\n7jhJY6KcC1Uq5NhNViq+S8NabEThpwaznXdmvsboUaMAaN0mjGde+2dTPq7QxOodXPLy8njppZcw\nm81ERkZSXFw9nFCv13P69Gm2bdtWp+BSXFzMwoULyc7OZvny5cjl1YPX1qxZQ3JyMjKZjPHjx9O5\nc2d+/PFH1q1bh5+fHxEREUyePLm+xReEW5KrG6x0QCD2CjPGNBkBE3tStjZFWtnYJTDxFB/eHe42\nL+XDuzrQP+EkxUUGFMFaij/+BTwV+D/eHWWAhrDtBimwCAJcRXD56quvkMlkvPXWW3h6evLoo4+6\nne/SpQsHDhyo0710Oh1z587lzTffrHHunnvuYezYsRiNRv7xj3/QuXNnAEaNGsWAAQPqW2xBuKW9\nvWwppQMCkauUGBJPSrkSW0EFDiuUrU+VViwOzzeijat9y2EHNuzFVSiDtGgHhqMMcO7V0sa3RRM9\nmdBc1Tu4HDlyhGHDhhEYGFhr4isoKIjCwsK6vblSiVJZexGCgoKkay5s0WzatImff/6ZsWPHSgFH\nEIRqF+9rP2HoGHb8tg95l06Ac06a1FLxUKAMVKO+uxUhe7IJNFkpKauqdRl8s5eWQXF3sCfzCF6j\nq1dC9tlWwIxZLzXFowrNWL2DS2VlJX5+l578ZLVasdvtDSrUhVavXs2gQYMA6NatG/369aOsrIwF\nCxawcOFCt3WMBOFWd2H3l1yl5JipmG8XPoOtwoTP+TKqDpzDVmCkbH0qmt7tcFRa0Y5qR6/NZ/iw\nSzu0HgqOtQniL9uPsbh/dHXO5dczBMd14cM3l1wUvPyYMeslsQ2xUMNVzXPJysq65Pm0tDRpYmVD\n7du3j4qKCuLj44Hq5f31ej2hoaGUlpZKqzK7pKSkkJKSIv0+btw4dDpdo5TnRufp6Snq4nc3a10s\nXvGRFFjg95nzk2+n+LNfqEhIc9tPpXzDURTB3oTsyZYCC0C0v5YX7mrHvdtT0YfqyVeA0duX9bNe\nQafTERsTyydvLrlcMW5YN+vn4mqtWrVK+jk2NpbY2Ng6v7bewaVbt24kJiYyYMCAGi2YpKQkkpKS\nGDduXH1vW0NGRgabN29m1qxZ0rHKykrUajVms5mcnBz0en2N19VWAWLcupMYw1/tZq2Lc2X5NWbO\nW7JKsZdU4fdMb7egoxvVicLFewhs6Vtj7a9ofy1qq53fKh10i7yd2U8+T4B/wE1ZZxe6WT8XV0On\n0zXou7zeweX+++/n119/5aWXXqJTJ2cf7vr16/nqq684efIk7dq1Y8SIEXW6l81m4/XXXycjI4MF\nCxYwceJEduzYwfTp01mxYoXU/aXRaHj++efZtGkTycnJOBwOxowZ45aLEYRb3dmsTGyHjxNxrIqc\n/AoyfDzBYsPhAIWfptblWuQaD87lltWaYykKVBPQIojZTz4vur2EeruqGfpGo5GVK1eyc+dOKioq\nAGeXVZ8+fZgwYYLUfdVciBn6TuKvsmo3S11IS7jkZ9Pm1GkW9/w9b1JkYMbONOxqJXlVVrLb+aD7\nv9gay7VUJKRhL6liYJlVWmzSYLHx2C+nSRoThUynok+qn7Sp183uZvlcNIaGztBv8PIvZWVlOBwO\n9Hp9s02ui+DiJP7hVLsZ6iIzK5Mpr/4Fw5AWBH6bxtbwlmg9FGSWVfL+4bNuC0U+8uNRflA48Hus\nW/US+V8koxsdg2FnOo4yE+2VCgIdMnLyyimZcjuKQOcagZG7bXzxxvtN/LTXx83wuWgs1335lzVr\n1tCtWzfCwpzN5IvzHllZWezdu5exY8c2qGCCINR04Uit08dPUNHDD0viSTrmlKONdnZrrTh6Xgos\n4Jyj8nG/TvTZlkL6f/biEeaDTCHHVmZC7u2JLacc/djbKA7QUAyUbTyK/vfAYjdZCVKLpfGF+qt3\n0mL16tVkZmZe8nxWVharV69uUKEEQagpaW8SI56fyo6YYtJ6Kagc1pLKvWfRDo6guIVO2jPF7qDW\nzblCW+jxbO/nDCzFlXgPjaB8w1H0Y29DGeDsyrabrM4b/P6zz7YCZkx/4vo+qHBTaPSMuNlsRqFQ\nXPlCQRDqLDMrkz/OexqPsVFS3qTqwDlppn3+PW157GA6BosNuYxaN+cqVClALsNythSHDEy/5WEt\nNCD39gScwUT7Qw59/GKI3G2jT6ofn836t0jmC1elTt1iRqMRo9Eo/V5eXk5BQUGN6yoqKti5cycB\nAQGNV0JBEHjl3X9gUtrRXpCQv3CmvSJQS9LIjgz8KQN1aQVHtx/l/f6dqhP0B9PJHdoe9mcjU8pR\n+Kqxni3DV6WjW7KGMlulc0LkbDEhUmgcdQoumzZtYs2aNdLvn332GZ999tklrxcLSgpC48nMymTn\nwb3YLGa3DbpkMpnb74pALQUjIjEknuRMVCB9v02lRYiOQpWC3KHtMe7KxFpcCXYHtpNFDLi7N3P+\n+iKxMbEiiS00ujoFF9ekRIfDwddff83dd99N27Zt3a6RyWR4eXnRsWNHoqKiGr+kgnALci3n4jGk\nHeafzlC+4Si6Uc51vbzubEnpV4fcNuwq33AU7YBw5N6eZAaqyXJYseUbYH05mK3I/TXohkfR4bCD\nj2/SWfZC81Cn4BITE0NMTAzg3Mtl8ODBdOzY8ZoWTBBuRa7RYFklOWQcP02xoRSHlwJ7ihXfybcj\n83SuauxwOMDuwIGDoiVJeLTzxV5uxppvgJ3pzm2JB4VT8cNJfP4QhzJAQ9Env6AbHoXc25M2vmIE\nmHBt1Xso8hNPiJEjgnAtuO+5IqMiz47v9B5u2wxr+3dANyJaek3RJ7/gMzHOueHXhGhKVx7GcqoI\nj3a+VB04h8xLKS2L7xHijdzbU6xiLFwX9R4tlpCQwKuvvnrJ86+99hqJiYkNKpQg3ErWb9hAzOBu\n9Js2qnrPlR9Pox8T674W2MhoKvdUTwOwm6wofL3wCNVjPltC8Uf7sWSWoBvVCZ/7O6MdHIFC64nd\nZMWy5jgxnq3ECDDhuql3y+Wnn36iQ4cOlzwfGhrK9u3bGTx4cIMKJgi3gvUbNvDcZ6/j/YcozAkn\npGBiLzPVuhaY3ebczuLClozdZAUbyNUeKMP0qCICqgNKUBhhqX7MeHO5CCjCdVXv4HL+/Hn69et3\nyfNt2rRh586dDSmTINyULt7Ea8b0J3jhrTnIWntT8cNJ5N6e0ugvu9F9ZBg4A4rldBGFH+zFo4UO\nbf8OyL09Kf0i2TlfRadCFajB8Nkh4jt2YbYIKEITqndwsdlsWCyWS543m82XPS8It6KkvUk89u+/\n4TE2yrmH/c69fP+n7dj8VCjUHqjvaU/5Dyco33AUTe+24KFwGxlmN1kpW5eCMlSHJasMU2k+lvNl\nOCqtqHuFIdd7oe3fQcqvaFO1IrAITareOZfQ0FAOHz58yfOHDx8mJCSkQYUShJtJZlYmj7w2Qwos\nhu2n8YwMwFxZhffwSCznyyn7JhW5Sknrs+VEfXmECD8N6jtCMSSepGzjUSoS0rCeq8BhsSPzkKMI\n0qL01+LRwR9T8nkpsICz+yy/sqSJn1q41dU7uMTHx3Po0CH+97//YbVapeNWq5VVq1Zx6NAhevfu\n3aiFFIQb2dvLlmIOUSFXKanck4kqNgjDz+nIVAoqtpwCuQylv5qBBSZ+7h9DwrA4tnVsTfzOs2h6\ntEE/shP60THIdZ54DwoHGciUCjR92mIvqUI3qpMUWMC12KTvZUokCNdevbvF7rvvPpKTk/nmm29I\nTEyUlmU+d+4cFRUVREdHM3LkyEYvqCA0Z7XlU8LahJGZlcnuoweQ6+VYzpdhOVuKOaMYh8mKw2JH\n4a9B6aWmHTI+7h3ptpLxh13aMfCnDIoeiMFusqIM0mL4+QyKAA0+f7iNkk8PEKjzR/VLGYYhGqn7\nTAw1FpqDegcXpVLJSy+9xKZNm9i5cyfp6emAs7ts9OjRDB8+HKWy3rcVhBvWhfNT5Colx0zFHH7j\nWV5/6Hn+/vmblGqdKw37/fcQsa19yZc5OG0yYyuuwlZoxOEAf7sMbUzNlYwDLXYKTFZKVySDh7Oj\nQe7lgVylJMDHj9X//BjggsDmx4xZYn0woek1eLOwG4HYLMxJbIRUrTHr4plX/saOmOIaI7vUK9Op\nHN8Ow5aT3JNWzCcXLCT5yI7jJD0QjUdLH+wmK/ole9kxILbGVsN9t6dyRu5A7uuFR4AWdc8wjLsz\n8B7SsdF2iBSfi2qiLqpd983CBEFwl19ZglylxFpopHJPJjaDGXtJJWXIYa2BVqeK+WTEHe6bd/WJ\nYuCebIoe8EGuUlI8oTOPfH3cbavhh7cfJSvAC9/7omvstyK6voTm7orBJTU1FUBaW8z1+5W4rheE\nm12Q2peU89lUbDmFzEOOw2TDd9qdWLJKMSSeJETjWevmXYEWO0W//+7R0odtwV70/ekoQQ4oCtSQ\nHqDCYbO77bdStfoofcJuY85fXxRdX0KzdsXgMn/+fAC++OILlEql9PuVrFy5smElE4QbxIzpT7D5\n4bHIfBS0yTUSGuRN3ldHOG0y4/vHOyn5Ng2DxVajy6vAo3qwpt1kReal5IzNRv69Hancl41c7YG6\na0vkX6YRGRXlzKf8a4UIKsIN4YrB5c9//jOAtLuk63dBEKpZTWYGWzV8eE8nCivNfJZyjmNGO6e+\nTiX37lAe25nOh13aueVcch+IxgOkCZK2AiMOhx3LqWJ0I6KlCZHxd7RrlNyKIFxPIqF/CxHJymoN\nrYsLl8Y/fiKNwPxSdt53B4WVZt4/fJaXundw2wVyd+9WhBzOxyejhDyThQwF4Kl0dqNVWUEmA6UM\nha8an/Fx0rBi7Q85rJi9+Jq2VsTnopqoi2oioS8I11nS3iQeeW2Gc2KkQo5Hn5aEfGeksNLM33ac\n4KMhsTXnqxw+R8GISE5+egD/Gb3wN1kp/SIZe7kJZWsf5F5KfMs9iAhqTdqXachUSrq2jWb2NQ4s\ngnCt1DmhX18ioS/cDC6eHNn/jl688NkbeD8Uh/r31kXxJ79w3uFg6aEsovy1tSbvA0w2Tn2ZjEMh\no/D9vXiE6vA1q+jdt3+NiZeCcDOoc0K/vkRCX7jRXTw58kjqSZIXbOQOvRd57+wmM1CDvbQKFDLk\nVVZmDwpn0a8ZtSbvz50pRH1/JylRrx8dg/W/qSKXIty06pzQv9D333/P+fPn6d27N61btwbg7Nmz\n7Nq1i9DQUIYNG9b4JRWE6+ztZUulwGI+UUCvrel8/Pt8FSmXMuE2jLuzaGm0ovVQMKVTKAv2nnbP\nufx6hgyVHM+0QmzFlehGRDvzKQ7Ppn5EQbhmrhhcLt675bvvvqOsrIx33nkHf39/t3MPPPAAL7/8\nMpWVlY1aSEG43jKzMtnx237kXZxbCgd8f4KP+3aqmUvZk03ByGhyPtiPwWIjTK/mT3GtWfRrBha7\ng63lRo4FeKFs7YOtpArdiGjk3p4YVv7GkplvNeUjCsI1dVXbHA8ePLhGYAEICAhg0KBBJCQkNErh\nBKEpZGZlMuXVv1ChtztnxANBNsclJ0LKVUrOhmh57GC6FGCe7tqWYxVVHA/VYjOYifNqS4DJC8We\nXNQr0/ls5lv06N6jKR5PEK6Leo8WKywsxNPz0s15lUpFQUFBgwolCE3BlbzfffQApVorytY+FC7e\ng0wOWoP1khMh7SYrcq0nu/uE0ndNKi0CvcnJryBdZofCSnp0iOPLpcua8MkE4fqrd8slODiYHTt2\nYDaba5wzm838/PPPBAcHN0rhBOF6cSXvd8QU45gUibpba4w/nUGh88SjjS+Zvioe+/UMBosNQMq5\n5PZsRfnGY3jd2RLj7iyK/hDLfoWddLUCRYg3LVuEsnDW1Q2KEYQbWb0nUW7ZsoWPPvqI1q1bM3To\nULf9XDZv3szZs2d59NFHGTRo0DUp8NUQkyidxASxahfWRWZWJpNmPErF4GCqDpzDZjDjqLLiM6F6\nMmP5hqOo7wilxeE8AowWcoqMpCvBbjAj81DgsDmQyWWAA4fJRuxtnenYqv0NMbxYfC6qibqodt0n\nUQ4aNAiTycT//vc/PvnkE7dznp6ePPjgg80qsAjC5WRmZTJp9hNkl+TisasK3choDIkn0Y6JwVFu\nwv/bNAItdvIVMjIOnqdo3G3SYpN8sBevO1tCpQ3diGiKPv0FTDb639Wdj99c0pSPJQhN7qpm6N93\n333079+f5ORk8vLyAAgJCSEuLg6tVtuoBRSEayUzK5MxD0+iVG3GYbbjFROEz9J9RDiguCyVVmVm\n/tsjono9sJ1p7CswoAjUOheaVMrRDexI2caj2E1WHJVWWrYIZc5fX2zqRxOEJnfVy79oNBp69erV\nmGURhGsuMyuTV5e8yYETRyguKMJRZaGjXwAas5E2Cad5f0CMFExeTTpFYaUZrYfauQdL70gG/pRB\nwYhISr86hH5MrLS/SvmXh+nRIY6Fs+Y3+24wQbge6p3Qd8nLy2Pr1q2sXbtWar1YrVYKCgqwWq2N\nVkBBaCyZWZlMnPtnfr3LjGJaLD6T4him07C9c1uGtPDl/QHu81hm9whnxdHz0uu1Hgp8z5VRkZCG\nvbwKubcnpV8kc5dXe7YsWsmXS5eJwCIIv7uqlsuKFSvYtGkTdrsdgMjISIKDgzGbzTz77LNMmDCB\n++67r1ELKggNkbQ3iel/fwrNn++UtiMO2ZPNx/dEo/VQYHdQ6zwW+wXDXQwWG8UtvJ1dYED5hqPI\nNEOvgCoAACAASURBVB4EBQeLoCIIF6l3cElMTGTjxo3ce++9dO3alQULFkjnNBoNd911FwcOHKhT\ncCkuLmbhwoVkZ2ezfPly5PLqhtSaNWtITk5GJpMxfvx4OnfuTFVVFYsWLcJgMDBo0CD69u1b3+IL\nt4ikvUnM/NdcyuxVVBWWY9XKUbTwwl5hxpB4EofDQXhOBdpoZ0CRy6h1Hov998GUBouNR346xpkA\nFdqB4Rh3Z+LzQGfKNh4lv7KkSZ5REJqzeneL/fDDD9x9991MmzaN9u3b1zjftm3bOg/91el0zJ07\nl44dO9Y4d8899/Daa68xa9YsVq9eDTiHQcfHxzN//ny2bt2KzWarb/GFW0DS3iSm/es5Kse3QzWt\nM5pJsThMViyZJRi2nUI7OAL9yE4UBWukeSuuNcHc5rHsP8WawjKGbj5C/98y2Df5NvR/uA3DjnS0\n/TpI+ZYgtW9TPq4gNEv1brmcO3eOwYMHX/K8Xq+v8zhxpVKJUll7EYKCgqRrXC2aEydO8PDDDyOT\nyWjXrh3Z2dmEhYnuCMHdzH/NRTu+M/YKM6Wrj2ArMCLXq7DLZWh6t5W6xQr6t+exDWl82LU9YXo1\nU2Na8odNh7B5KMiz28nAjkMp56zdCoUVyFYdRuHjhfewKOTenpRvOEqwXM+M6U808RMLQvNT7+Di\n6emJyWS65Pn8/Hw0Gk2DCnWh1atXS/NmjEajdG+1Wo3RaGy09xFuHga5GSrMlH17FIXGE58/d5cm\nQ5atT8V7YATKAA2KQC1JoyLp+8Vh51wWmYPscF9sRguOoiq++udH/G/zOmm/lQlDx/DJN19waPMx\nHCYrfcNvY85fXxT5FkGoRb2DS0REBPv27WPkyJE1zrmWf4mKimqUwu3bt4+Kigri4+MBZ07HaDSi\n1+uprKysNYilpKSQkpIi/T5u3Dh0Ol2jlOdG5+npeUvUhbLCTuFXh/Bo44P3sEippSJXKdGPjsGQ\neBLdCOdqxzKdijMyBxmBKpR+GjDbkCnlBPkGMnjQYAYPcm+lX/z7zeBW+VzUhagLd6tWrZJ+jo2N\nJTY2ts6vrXdwGTlyJAsWLGDx4sX0798fgJKSEpKTk1m9ejVFRUU8/fTT9b1tDRkZGWzevJlZs2ZJ\nxyIjIzly5Ag9e/YkIyODVq1a1XhdbRUglnNwulmWtrhwd0i1VYFMIccosxCk9uW2Nv/f3p1HR1ml\n+x7/1pSkkqrKAMEkQDGITEFGIREEGbzeFhqHFoI2tjSn6T4uDupp2qHpvkyN0NxrNw6NHAeUQdtG\ngh5adB0UkgAxzEJsIIxCUiEhQCBjJan5/hHzVooUmmCSSlLPZy3Wosbsd6+X/Njv3u+z+3LNVQla\nNahVSrDUUYdqcbtqVzm6bU7KNv0LVOCpduIoL0HTxYDHaufVxa90iL5qjI5yXjQH6Qsvo9FISkrK\nLX++ybXFoHZifd26dQ3uZ9Fqtfz6179usAfMzbhcLlasWMGFCxfo1asXjz/+OJmZmcyePZvly5dT\nWlqKwWAgPDyc559/nurqap/VYvfee2+jfo7UFqvVEf7h1N8d0l1px5r+LcYHByiXvcrePwohGjSR\nYQA+IxeoDZTrb+xDbQoDpxt1VBj23BJ03SLRRIahUqm4nc58/lbw7KTaEc6L5iJ94fVja4vdUrhA\n7Whl3759FBQUABAXF8fo0aP97vMSaBIutTrCP5w5z/8HmSU5oFbhLCwn6pfe+1ac16qo+ioXx6UK\ncLnxuD3o4ow+4VO68Sjh95gJG3CbUpASD0Sm3AnUhs/YnOig2n64I5wXzUX6wqtVC1c6HA7Onj1L\ndHQ08fHxPPDAAz/qhwvRFJZ8C/ssxzBMrw2Lsn/m+ASLNeM8xqn9vZP3W09gzy2h5N3DoFbhsbvQ\nJ3WjYtspbCevog7REjHxdqxf5QK1wRKZXsz8BX8M4FEK0TE06T4XtVrNsmXLOHr0aEu1R4ibWrVu\nDWHTB+CutFPx2SlclyqUnSKr91mUYIHvJu8fTiS0b2d0XU3g9hA5fRD2k1dRd4lAHaJVthzuUhZC\n370uxuZEs37BK7L6S4hm0KSRi0ajISpKbhgTgZFfWoQjv4aqrDwiHxuM01JK5JqDxN9m5FJxJaUV\nNqg3v6IO1YJahaOwHDweKj49Sfi4nji+LcHj8SgjlfWr3pFAEaKZNfkO/eTkZPbt26fUFROipV3M\nt7B8/n+gO/INMaknMPyv2/FU2Bjz1UX2TBjIZ0N6smfcAJI/PYOr2Kp8ru4Oem1MOJ3+426ifjkC\n24mrhI1IIPKaSkYqQrSgJk/oX7x4kddffx2DwcDkyZOJj48nNDS0wfs6d+7cbI38sWRCv1Z7nKy8\nmG/h/QVPs7CfQSmF/5ujuZwLVZM+0NygFtjEsxcpmT5Imax3ltvwVNjQ9YpGrVETNiKBmOwqUl96\nm04xnQJ4ZG1HezwvWor0hVer70T5u9/9Tvl7/ZsVb/TRR8GzlFO0DEu+hT/M+xWb7uriUwr/7WE9\neSLztN8qxtFFlXz73mHcpTW47U5ifj0KgKqvcjGVqxld1JX5C+bSs0dP+SUiRAtqcrg8+uijqFSq\nlmiLCGJ1m3gdPv0vqiushBrDsZZXMCom3G+IVNpdfqsYl8QZUFXZUceEobI60XYKx21z0jUkhvWL\n5RKYEK2lSeFSXl7OsGHDMBqNxMXFtVSbRJCx5Ft4YtnTlN9louoSGGfW3ruiKiyjbF02S+3folOr\neGJAPGaTHqvDxRV3bQn8uv1Y6rYhzu0cCmoVpskDqdhyHHOGle5Rccxf8EcJFiFaUaPCxe12s3bt\nWtLT06mbounbty/PP/88JpOpRRsoOr5V69ZgvT+Omh3nlOXErmIro7+4wNtThijhsfzAeZ4cmMCy\nUwVcijNQPqk3k/YV0Mnm4lJhGfmxerSGUCLuNqM2hBCnj+HjVesDfXhCBKVGrRbbvn07aWlpREVF\nkZSUhNls5syZM7z99tst3T7RwVnyLew9+TXqUC0ej0e5TyV2dx5vD+vpM9fyx6TezMk4yf+UVWFK\nuRNdQiTXHx3I2Z/fSfnTyWii9Mq9K9aPjvOX55YG8tCECGqNGrns2bOHrl27snz5cvR6PQBvvvkm\nu3fvxmq1EhER0aKNFB3HjUUnT17LpSzCicHmRKVS4bY5UYdq6exw+51rMUTpUYdr/BakdFwso+Tt\nQ8TqjLzx4l9JTkpuzUMTQtTTqHApLCxk2rRpSrAAPPDAA2RkZHDp0iX69OnTYg0U7Vv9MAn36DhZ\ndIHK0dHUfF2I3VJK9K/uIrzSTsW2U4SPMVOx7RTGqf0p1qn9TthfrrKDLlQJoTpum5Mwl5bt72yR\nuRUh2oBGhYvNZiM6OtrnubrHNTU1zd8q0SHUr2BcW+/LTtk/inF9dLF2wj5Ui/q7PxETelO9z4LH\n5eba63spCdcxp6CCteP6ee9vOfQt3YaMIAEVBz/8hsifD1HqiFk/Os76l16XYBGijWj0arEblx/L\ncmTxQ1atW6MEC9Reuop8fAgl7x7G+PAAKj49WVt8UqNGf7cZ40/747Y5qdx+BtNDAzlYbGXS7jw6\n2VwUXa3E2S2BDxb8CXN3M/sP7Oe5vyzGqrIT4QnhjefkMpgQbUmjw+XIkSOUlpYqj+u2Ot63bx+5\nubkN3v/Tn/70x7dOtGtXq0v9zo2oY/RUZVmUcvlum1O5LFb5pXeXSE3nCK4/OpDrgOrDM2xZtkYZ\nmSQnJfNV6hetfUhCiEZqdLhkZWWRlZXV4PmdO3f6fb+Eiwj36HDb7MrS4tjdeXS2ubCcv05Yz2i6\n/PcpinVqrt7bA+PU/pS8exht5wjUhhCf73HbnIwdMEIueQnRjjQqXBYvXtzS7RAdwI2T91+fPEbJ\n4VK0txmYVGxj7T19uVZtZ025nYWDenrnUradZf/UO1DrdYSP7UHZB9lEPjFUGdXIHitCtD+3vBNl\neyKFK2u1ZFE+S76Fny+cy1WttXZjrhonzutVRP9yBJ0/O0Pa7QlE6DSsOHCeZ4f38Ftw8lyxFXW4\njpD+nbFlX0ITZ6RLWQgftkBJfClQ6CV94SV94dXqhSuFqFN/pHLu+GlKol0Yf+LdUrji05O4K+0+\n96y4Pdy04CS4MNw/gKosC8YHBxCTXcX6VVIPTIj2qMn7uQgB3mXGmQNLODNaw1VXhbJXPdRO3IeP\nMRP992/QXbXyp33fYimvRq2qHanUV3f/ik4Tgn57IYNMPRhf1FX2WhGiHZORi7glf3r9/1Jgvw5f\nlqBSqVCF+N41r9QGGzdAmVtZtv9bHro9lmX7v2Vh8u0+BSdLfjYQgzmKpJxoXl20MoBHJoRoDhIu\nosks+Rb2WY5hmO69BHb9rQM+d837qw22MPl2Hvn8X1y9LZwd6SeIT4isXS32WCIhnWtLCF2tLr3p\nzxVCtB8SLqJRLuZb2PLWajwVJXydm4tustn35sjpd1K68ShRTw6rrQ1mc/mdWxk+dCg71FUUxF6n\n7Cd9UYdqqXuX2+YkVh+NEKL9kzkX8YMOHNjPK0/9nOdCC1gSb2PTXV0Y/cUFn/3qdfEmPPbau+tL\n1n3NpauVfudW9J3jWb/gFcZGD6Qm9WTtPvfgXXI8e26rHpsQomVIuIjvZcm3sPQPz/Baco8GWw3H\n7s5T3ue2OfG43LjKbRh+cgf5MWH85sgFJWCsDhdP781l2r/Pw9zdzNqX3+B//vIBY3Oi6bvXxdic\naJnAF6IDkctiwq+6ZcaZxw/Sx2X3e4nLfLEcPs7h8t1dqcqyoO1iQKXTULXXgqvCxnaHi3G7cojV\naqhwqlm84nW61QsPc3ezTN4L0UHJyEU0UH+ZsfoXAygxR/q9xDXUqCft9gSSPzmNfmg86ogQ0KqJ\nfHQQpkcGog/VEz1kCPFj7uPN9VtIksKSQgQNGbkIwPeGyLxzF6ie0RN3pR3rjnOUud3MyTzD2rF9\nfbYcfmpwNyJ0Gtbe05eJ2RfJC1Gjzq1A9eEZRvboz8I3P5LLXEIEKQkX0WDflbKrdiIq7Vgzzit7\n2u8vLGPsh8foo9My1KjnqcHdMJtqN4+ru8O+KiGeD9dtkEARQshlMeG774rzWhWuogqqvspVggVA\nlxBJ+dPJfKvy8OzwHkqwQO0lMpXWxIf1SuILIYKbhItQ9l1xXquqHa08OABncZXfvVgu3hbBb47m\n+qwCW3SilL+8JSMWIYSXXBYLQvXnV2L1UeidGtw2J9X7LMpoRRMV5nefenVECHvHxjP2g3+RoA1h\n4LAk/u3lP/usAhNCCAmXIHPj/MopWwn21FM4Ttbg0KGEScT43lRsO6WEjdvmpOyDbNwOF+5qBzZ9\nGBve3SKjFSGEXxIuQcbfvvYh0/vj2HEOrcutjFa0ncKJmNCbyu1ncBSUo+tqwvjwQNSGEMo+yGbj\nstclWIQQNyVzLkHmZvvaezwewu/pWbsHy3clWdSGEDwON4b770ClUVP+zxxK1h5mVMJAkuWeFSHE\n95CRS5CJ1UdxylbSYC5FpVLVjlYm3k7lfx3G08uEWqMmYkJvtJ3C0XWPpPS9r0mIi2flgqUBPAIh\nRHsQ0HApKSlh5cqVFBQUsHHjRtRq70AqIyODjz/+mP79+zNv3jwAdu3axdatW4mOjqZPnz7MnDkz\nUE1v026csH/sfz/Mpi+2ct1RQUgNaP6Zi+uhnt4dI7edImJCb6B2tDJ2eDLnrUXK5TO3zUlN6kkm\nJCax6JkX5XKYEOIHBTRcjEYjixcv5uWXX27w2siRIxk4cCCpqak+zz/44INMnDixtZrY7uw/sJ85\nL83Hflsoao2asBEJfL7yWcLu7k7YsNtwXCqndF8BvFaAKlSLx+EmauYQtJ3ClcrEixa8AlAvoKKZ\n/5cPJFSEEI0W0HDRarVotf6bYDAYqK6ubvD8559/zp49e5g2bRqDBg1q6Sa2K5Z8C7955feEzroT\nff1RyQN9Kf/vHFQ6LTXZl+j0n2OUEYn6nxcYctZE9QVXbYgs+KMSIlJUUghxq9rVnMuoUaMYP348\n5eXlLF++nJUrV6JSqQLdrDZj1bo16Kb181kJZpzaH+uOc2i7mrCmnSPqlyN8Xnc/1AtDjpG1EiRC\niGbUrsIlPDwcAJPJRHx8PGVlZURFRfm858SJE5w4cUJ5nJKSgtFobNV2Bsp1R4XflWBulxu1Ro3r\nhn3u614vcVQGTR/VCQkJCbpjvhnpCy/pC1+bN29W/p6YmEhiYmKjP9umw8Xj8eDxeJTH1dXV6PV6\n7HY7RUVFmEymBp/x1wEVFRUt3ta2IEZnxO1nJZizoBzTIwNxfLfM+MbXo3XRQdNHdYxGY9Ad881I\nX3hJX3gZjUZSUlJu+fMqT/3f3q3M5XKxYsUKLly4QK9evXj88cfJzMxk9uzZHDlyhK1bt3L58mX6\n9evH/Pnz2bJlC9nZ2Xg8HqZOnUpycuPutSgsLGzhIwkMf6vCfvvmn7BP6e69q37Tv9CP6kr1wQI8\neFChIvKxwcrrkenFQbkDpPwS8ZK+8JK+8EpISPhRnw9ouLSWjhYulnwLy954mayzR3FF6wi/pydq\nQwiOzae4lnUObfdI1JGheCrtqCNC0JmjlPfoPytgQFwvqlQOYvVRzJ89N+iCBeSXSH3SF17SF14/\nNlza9GUx0VD92mCh/e+g6qtcyrfmoIkKI/SuWMKqq4iaNVwZmUR8WUTfyG5Un3aRYIrl6WV/DMow\nEUK0LgmXdqauNpj7hs286i6B1d+DRR2qxXp/nLIaTP5XJoRoLRIu7Ygl30JW9gEqL6pwFpY3WFYc\n+dhgrDvOofupd6GDOlTL1erSQDVZCBGkJFzaibrLYe6f98UUqqXsnzk3XXZcn9vmJFYf3ZpNFUII\nqYrcXjQola9RK9WL67htTkIu25Tn61aDzZ89t9XbK4QIbhIu7UBZWRl7jx32Gano7zZTse1UgyBZ\n+39WMTYnmr57XYzNiQ7KZcZCiMCTy2JtXFpaGi+88AJX3RXE2m5XAkbbKZzwMWb0H+XSo08vn7pg\nsteKECLQJFzaqLKyMpYsWeJTfqHkvcNE/9tdyuqwmOwq1q96R0YmQog2R8KlDdq5cycvvvgiRUVF\nynOdO3dm/mPPcjQnx1sGf4HcsyKEaJskXNqQ0tJSlixZ0mAPm4ceeoiXXnqJmJgYZgWobUII0RQS\nLm3EzUYrf/7zn5k8eXIAWyaEEE0n4RJgZWVlLF68WBmtaLpEoDaFkmCK5c0VrzL4zsEBbqEQQjSd\nhEsA1a0EqxuthA6JUybsbTYn//lfS2UpsRCiXZL7XAKgrKyM3/72tzz55JNKsGi6RCjBArV325dN\n7MyqdWsC2VQhhLglMnJpZTeOVqB2biV+ZF+u+SnnInXBhBDtkYRLC6vb0OtSRTGFZ/I4fzjH5/W6\nlWB/Wv3/yPSzi6TUBRNCtEdyWawF1RWbzBxYwvlxoVT9ojehQ+KA2tHKO++8w5o1a4iJiWH+7LlE\nphdLXTAhRIcgO1H+CBfzLWx5azWeihJUxmim/fs8utWbfJ+78HccGFLZYDQSuuEsn23YQkxMjM/3\n3bhtcXPvEin7uXhJX3hJX3hJX3jJTpQBcjHfwvsLnmZhPwMRBg1WRwHLFjzNL/78N7p1N5OWlsbO\n/buJHJXk8zl1qJZeg/o2CBYAc3czry5a2VqHIIQQLUbC5RZteWt1bbDoNABE6DQs7GdgxepXuGSH\nzZs3o+kSgdHmlHkUIUTQkTmXW+SpKFGCpU6ETkN2ZoZSbNJ1xUr5hqMyjyKECDoSLrdIZYzG6nD5\nPGd1uLhYWqk8fuihh/h4xVrZX0UIEXTkstgtunvqz3hq0bO8eU8fInQarA4Xc3ad5Nuy6gY1wV6V\nEi5CiCAj4XKLNnyWyt6f3cGkfQV0drgp1qm5nDKQHp9F+V0JJoQQwUTC5RYoK8GeSeL6o5Fc/+55\nHdBrkEGCRQgR9GTOpQnq1wSrKS5XJurr1K4EiwpQ64QQou2QcGmktLQ0Jk6cKCvBhBCiESRcGmnH\njh0+xSZlJZgQQtyclH9ppMrKSiZNmkRNTU273R1SSlt4SV94SV94SV94SfmXVmIwGHj33XdJSEiQ\nCXshhPgBEi5NMGjQoEA3QQgh2gWZcxFCCNHsJFyEEEI0OwkXIYQQzU7CRQghRLOTcBFCCNHsJFyE\nEEI0u4AuRS4pKWHlypUUFBSwceNG1Gpv1mVkZPDxxx/Tv39/5s2bB0BNTQ2vvfYaVquV++67j3Hj\nxgWq6UIIIb5HQEcuRqORxYsXc8cddzR4beTIkSxcuNDnuZ07dzJmzBiWLl1KWloaLperweeEEEIE\nXkDDRavVEh4e7vc1g8HgM5IBOHv2LIMHD0alUtGzZ08KCgpao5lCCCGaqF3NuVRVVSlhpNfrqaqq\nCnCLhBBC+NOuyr+Eh4dTVVWFyWSiurra76jnxIkTnDhxQnmckpLyowuwdSRGozHQTWgzpC+8pC+8\npC+86rYYAUhMTCQxMbHRn23TIxePx0P9os19+/bl2LFjuN1u8vLy6Nq1a4PPJCYmkpKSovyp3znB\nTvrCS/rCS/rCS/rCa/PmzT6/S5sSLBDgcHG5XCxbtoy8vDyWL1/OuXPnWLduHQBHjhxh9erVHD9+\nnFWrVgEwceJEMjMzWbx4MRMmTECj0QSy+UIIIW4ioJfFNBpNgxVhffr0AWD48OEMHz7c5zW9Xs/v\nf//7VmufEEKIW9OmL4s1h6YO5Toy6Qsv6Qsv6Qsv6QuvH9sXQbETpRBCiNbV4UcuQgghWp+EixBC\niGbXru5z8Ufqk3k1tS927drF1q1biY6Opk+fPsycOTNQTW9239cXW7ZsITs7G5VKxYwZMxg0aFDQ\nnhf++iJYz4utW7eSnZ2N3W7n4YcfZtSoUUF7XtTvi0ceeYSRI0c2/bzwtHMOh8NjtVo9S5Ys8bhc\nLp/XKioqPEVFRZ6//e1vynPbtm3zZGZmetxut2fRokUep9PZ2k1uMU3ti4yMDE9aWlprN7NVfF9f\nXLlyxePxeDxWq9WzaNEij8cTvOeFv74I1vOi7nFNTY3nD3/4g8fjCd7zwl9fNPW8aPeXxaQ+mVdT\n+wLg888/Z8mSJRw/frylm9eqvq8vYmNjlffU9Umwnhf++gKC87yoO36bzYbZbAaC97zw1xfQtPOi\n3V8WayqpT+Y1atQoxo8fT3l5OcuXL2flypWoVKpAN6vVpKamct999wFyXtTvi2A+L9auXcuhQ4d4\n8skngeA+L27si6aeF+1+5NJUdfXJgJvWJwsWdcduMpmIj4+nrKwswC1qPQcPHqSyspIxY8YAwX1e\n+OsLCM7zYs6cObz66qt88skngG+gBNt5cWNfNPW86PDh4rmF+mQd1Y19UV1dDYDdbqeoqAiTyRSo\nprWqvLw8vvjiC371q18pzwXreeGvL4L1vHA6nQDodDrlF2mwnhf++qKp50W7v4nS5XKxYsUKLly4\nQK9evXj88cfJzMxk9uzZHDlyhK1bt3L58mX69evH/Pnzqa6u9ln9ce+99wb6EJpNU/uibqWQx+Nh\n6tSpJCcnB/oQms339cXy5cspLS3FYDAQHh7O888/H7Tnhb++CNbz4p133qGwsBCn08nUqVMZNWpU\n0J4X9fviwQcfZOTIkU0+L9p9uAghhGh7OvxlMSGEEK1PwkUIIUSzk3ARQgjR7CRchBBCNDsJFyGE\nEM1OwkUIIUSzk3ARooPavHkzM2bMoLi4ONBNEUFIwkWIm7BarcycOZMZM2aQmZl5y99TVVVFamoq\nOTk5zdi6HxYs9cBE2yThIsRNZGZm4nK56NKlCxkZGbf8PVarlS1btrR6uAgRSBIuQtxERkYGiYmJ\nTJkyhZycHK5cuXJL3yNFMEQwCrqS+0I0xvnz58nNzWXevHkMHTqUjRs3kpGRwYwZMxq89/jx42zb\nto1z585RU1NDTEwMiYmJPPHEE1gsFpYuXQrUlrVPTU0FavdRWb16NTk5OSxdupS5c+c2qFv1xhtv\nsGfPHj766CPluXPnzvHll19y+vRprl+/jlqtxmw2K7WwhGgrJFyE8CM9PZ2wsDCSkpIICQlh+PDh\n7N69u0G47Nixg7Vr19KpUyfuv/9+YmNjKS4u5uuvv+batWt069aNWbNmsWHDBkaNGkVSUhIAYWFh\nP9gGf3MmBw8epLCwkNGjRxMbG0tFRQW7d+/mr3/9K88884xSNl+IQJNwEeIGDoeDrKwskpOTCQkJ\nAWD8+PEcOnSI7Oxshg4dCsD169dZv3493bp146WXXkKv1yvfkZKSovx95MiRbNiwgR49enDPPff8\nqLZNmzZNaVOdBx54gBdeeIFPPvlEwkW0GTLnIsQNDhw4QFVVlc9lqmHDhmEymXwm9vfu3YvT6WT6\n9Ok+wdKS6geL3W6nsrKSmpoaBg0axMWLF6mpqWmVdgjxQ2TkIsQN0tPTMZlMxMTEUFRUpDw/ePBg\n9u/fT2VlJQaDQXmtZ8+erda28vJy/vGPf3D48GHKy8sbvG61Wht1yU2IlibhIkQ9V65c4cSJEwA8\n++yzft+zZ88eJk+e3OJtcblcDZ5btmwZhYWFTJkyhd69exMeHo5arSY9PZ2srCxZmSbaDAkXIeqp\nu+z11FNP+d0vfdOmTWRkZDB58mQSEhIAyM3NJS4u7qbf+X03MxoMBgAqKysbvHb58mWfx3l5eVgs\nFqZPn860adN8Xtu5c+dNf4YQgSDhIsR3PB4Pu3fvxmw2M2HCBL/vyc/PJzU1lfPnz5OcnMzf//53\nUlNTGTJkyE3nXeouU/kLkC5duqBWqzl27BhTpkxRnj99+jRnz571ea9aXTtF6na7fZ63WCwcOnSo\n8QcqRCuQcBHiO9988w3Xrl1j0qRJN31PUlISqamppKenM2fOHGbNmsV7773Hc889x7hx44iNjeXa\ntWscPnyYuXPn0qNHDwwGA3FxcWRlZdGlSxeioqIIDQ1lxIgRhIWFMX78eNLT03nttddITEzkOV+w\nywAAARJJREFU0qVL7Nq1ix49epCXl6f87K5du9KtWzc+/fRTbDYbCQkJFBYWsnPnTsxmM+fPn2+N\nbhKiUSRchPhOeno6KpXqe29G7N69O/Hx8ezdu5dZs2Zx//33ExcXx7Zt29i+fTsOh4Po6GjuvPNO\nOnXqpHzumWeeYcOGDWzatAmbzUZsbCwjRowAYNasWUDtPSyHDx+md+/evPjii+zcuROLxaJ8h1qt\nZsGCBbz//vvs2bOHmpoazGYz8+bNIzc3V8JFtCkqj8wACiGEaGZyn4sQQohmJ+EihBCi2Um4CCGE\naHYSLkIIIZqdhIsQQohmJ+EihBCi2Um4CCGEaHYSLkIIIZqdhIsQQohmJ+EihBCi2f1/j0XicvsG\nUdwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_goodness_of_fit\n", "\n", "\n", "fit_data = np.array([y_train, homogenize_model.predict(X_train)])\n", "pred_data = np.array([y_test, y_pred])\n", "\n", "draw_goodness_of_fit(fit_data, pred_data, ['Training Data', 'Test Data'])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good.\n", "\n", "The `MKSHomogenizationModel` can be used to predict effective properties and processing-structure evolutions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Predict Local Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section of the intro, we are going to predict the local strain field in a microstructure using `MKSLocalizationModel`, but we could have predicted another local property.\n", "\n", "First we need some data, so let's make some." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks.datasets import make_elastic_FE_strain_delta\n", "\n", "\n", "X_delta, y_delta = make_elastic_FE_strain_delta()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once again, `X_delta` is our microstructures and `y_delta` is our local strain fields. We need to discretize the microstructure again, so we will also use the same basis function." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pymks import MKSLocalizationModel\n", "\n", "\n", "p_basis = PrimitiveBasis(n_states=2)\n", "localize_model = MKSLocalizationModel(basis=p_basis)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the data to fit our `MKSLocalizationModel`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "localize_model.fit(X_delta, y_delta)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have fit our model, we will create a random microstructure and compute its local strain field, using finite element analysis. We will then try and reproduce the same strain field with our model." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from pymks.datasets import make_elastic_FE_strain_random\n", "\n", "\n", "X_test, y_test = make_elastic_FE_strain_random()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the microstructure and its local strain field." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xxx+3e23fvn1at26dAoGA/vCHP6iiokK1tbVRx8JnCAEAgCt0xucQnvyoGUma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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_microstructure_strain\n", "\n", "\n", "draw_microstructure_strain(X_test[0], y_test[0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's pass that same microstructure to our `MKSLocalizationModel` and compare the predicted and computed local strain field." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ONQAQMfUBcU5H1nqvFq4pf/izb8U1VJ3lfw84B3mK4n87eCL+/ps5NuPWXMwVH8vViHUZ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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_strains_compare\n", "\n", "y_pred = localize_model.predict(X_test)\n", "draw_strains_compare(y_test[0], y_pred[0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not bad.\n", "\n", "The `MKSLocalizationModel` can be used to predict local properties and local processing-structure evolutions." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }