{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.2.0\n" ] } ], "source": [ "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "import matplotlib as mpl\n", "print(mpl.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Pyplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " The pyplot API is generally less-flexible than the object-oriented API. Most of the function calls you see here can also be called as methods from an Axes object." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# https://matplotlib.org/3.1.3/tutorials/introductory/pyplot.html#sphx-glr-tutorials-introductory-pyplot-py" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10*np.pi, 100)\n", "y1 = 2 * np.cos(x)\n", "y2 = np.cos(0.5 * x)\n", "y3 = np.sin(x)\n", "\n", "plt.figure(figsize = (15, 7))\n", "plt.plot(x, y1, 'r--', x, y2, 'bs', x, y3, 'g^')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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ej9C+ZfymKDf17dGel//3Sr5es5loNEq3jq2zck2GZLj74w94Zs4XDTcf/vvL2VxXOZgfHZWeNx8me/TRX4BbgR3/Oa2BLaq640y3EthxK145sALAeX2rs/0uROQaEZkmItPWr1+fzNhd9X+TJ++SECB29bl2+3amrFiZkH3sqS1SVRM6xK256N2xDTlxjrtFrp+uZY3b1svbltCzcxu8u50883J8/M8h/Rqtm5Dv93HT8KH403QuHhGhW8dSenRqYwkhQRZs3MA/53xBXThWA40C9eEwD38+hZXbtrkdXlxJSwoiciZQparTdy6Os6k24bVvC1THqmqlqlaWlWVuh+jSjZvilkdVWb5lc0L2MeLo3nETQ1GLXHp1zdyf7Z6cP7Q//t1+Hh4RWuT4OXlAr7jvue+ms+jasZT8XD8F+Tnk+L2MGNybX485mUcuOItDO7Ql3++je+tW3H3mSC4ZnDnLNpp9++Dr+DcfekT46JtlLkS0b8lsPhoGnCUipwN5xPoU/gKUiIjPqQ10AlY7268EOgMrRcQHFAPxz4xZ4JA2bVi9fXujchGhorRRBeqA/PiS4cxdtJoNW2qoqw+Rl+PD6/Xwh1tGJ+yW+eakrLiQJ244nzv+9Q7LqzahQP+uHfj9RaeS64//r1LWqpB/3fN95i9bR9Wmag7p1pb2bWLdZ8N6dGVYj64pPAKTblr4/PjEQ5hdE4NHhBZpOhQ9JbOkishw4KfO6KPxwIs7dTTPVtVHROR64HBV/aHT0Xyuqn53b5/bnEYf7a8v1qzhe8+N36UJye/x0KtNayZccnHCTtrhcISPpi9h3pK1dChrySlD+1BUsO8+j0y3paYOr8dDUX76dAinmw8WLeUv73/Kii1bqShrzc9OOpbKLp3cDuuA1AdChEIRigoT+7e/obaW48Y91qgpuIXfz5QrfkihS+tpuD519m5JoQffDkmdCVysqgERyQOeBgYSqyGMUdX4i646EpkUZixbxcNvf8aStRvpWtaKa0cOYUgvd1cs+3DZMn49cRLraqpBYUTPHvzh1JEU59lJe09UNStrOan29rxF3PrKrgMh8vw+nvjeOc0qMWyvrueeB95iyvSloNClUym333w6vXq0S9g+3l++lB/95/WGv0tBGHvmaIaUd07YPvaX60khWRKVFP47bxm3PPU69aFd/8B/P+ZUTh3g7nh9VWVzXT35ft9+3QmbTSLRKA9NnczfZ85keyBAnzZtuPPEEQwubz4np+bmpP97kpVbtjYqH9ipA89ePsaFiA7MtT97hgVL1u4yiqygRQ7PPXYNLYsSd19QfTjElFUr8YgwuLzTPoejJ9vekoLNfQT84ZX3d0kIAPWhMH985YO4sxKmkohQ2iLfEsJe3PXh+4ydNo1tgdhNZ/M2bOCyl1/iq6oqt0PLSKoaNyEALF7feOhuulr+zQaWLK9qNKw4HI4y8cOvErqvPJ+fE7p257gu3VxPCPuS9UmhLhhi9eb4Q8O21dWzqbo2xRGZ/bGtvp7n586lbrc220A4zENTJ7sUVWYTEdoVxb/XokurkhRHc+DWb6zGG2f0XSAYZl1V40Ee2SLrk0KOz7vXceMFeek5QsDErNq+Pe7vT4H5GzakPqAsceMJx5C/24isPJ+PH5841KWI9l/vnu0IhRrfrJif52fAYdnb9Jj1ScHr8XDO4EPJ3e2mpRyfl1P69yI/x5pt0ll5y5aEIo3/sT0i9M3g+1jcdt7Aw/jVqSfSrqgQAbq0Kub/nXMaJ1R0dzu0Jitumc9F5x1NXu63/+N5uT56ditjyJE9XIzMXenduJUiPznzeNZtqeaTBcvx+7yEIlGO7FHOr//nZLdDM/vQMjeXMYcdzvNf7tqElOv1csPgIS5GlvnOG3gY5w08zO0wDsrlFw6jT0V7XnpjJjV1QU4+vg9njuwft1kpW9joo52s2rSVZVWb6dKmhC5tmk/baLaLRKM8+vlU/j5zBlsDAfqVteXXw4dT2TFxi5kbk0lsSKoxxpgGbk+dbYxpolA4wqwlqxFgQEXHtJ08z2QuSwrGpInpi1ZyyyMTiDq1d5/XwwPXn03/Hs1rCnNVZeay1cxaupoOrYoY0b9ij3NHmfRjzUfGpIG6QIhTbv0btbut4laYn8u7911DTjM5qUaiUW558jWmLFxBMBwm1++jRY6fp2++kI6liVk+1Bw8u6PZmDT3ydxlcedsUlWmzP/GhYgOzDuzFjFl4QrqgiEiUaU2EGJTdR13j5/kdmimiZrH5YcxGS4UibKnWnsozupu6ertmQuoC+5a24mqMnnh3hNbOBJlxterCIYjVHbvRF4zqRllIvvJG5MGhh7ajUicxVgikSiD+7g3m+b+apmfi0ekoV9kh1zfnk81i9dt4MrHX6QuFFuuUlH+ctF3GNrL1qJwgzUfGZMGigvy+PUlI8n1e8nL8ZGf4yPX7+N3l59GYTNa0+G7xw5otKRprt/H/ww9PO72qsr1T01gQ3UtNYEg1YEgNYEQN/7zNWoCwVSEbHZjNQVj0sSowX046pDOfDR7KSIwfEBPWhW1cDus/XJYl/b88vwR3PvSB6gq4UiUUwZUcOMZw+Juv2z9ZjZur2lU7hHh00Vfc8ph8ZdBNcljScGYNNKmuIBzj4t/Vd1cjB58KKcP6sOKDVtoXVRA8V5W8vN6pPFC7A2vWUOGG+ynboxJOL/PS4/2rfeaEAC6tC6hY0kRnjgjr46pcHflw2xlScEY4xoR4ZHLzqZTaUta5PgpyPVT0iKPv11+js1Q7BJrPjLGuKpzaQlv/uRyFqzdQDAUpl95O3xZPEup2ywpGGNcJyL06WDrX6QDS8fGGGMaWFIwxhjTwJKCMcaYBpYUjDHGNLCkYIwxpoElBWOMMQ0sKRhjmqU167byydTFrFm31e1QMordp2CMaVZUlfvHvssb787B7/cSCkU4/aTDuOUHp8RdqMjsH6spGGOalSkzlvHWe18SDEWoqQ0SDEX4zwdfMWXGMrdDywiWFIwxzcp/pyyifre1rOvrQ3w0eZFLEWWWpCUFEckTkaki8oWIfCkiv3XKu4vIFBFZJCLPiUiOU57rPF/svN4tWbEZY5qv0pIC/Lst5OP3eSltVeBSRJklmTWFADBCVQcARwCnicgQ4F7gflXtBWwGrnS2vxLYrKoVwP3OdsYYs4szT+mP379rUvD5PHznlP4uRZRZkpYUNKbaeep3vhQYAbzglI8DznYej3ae47x+klivkTFmN+3KWvLwHy6kckBXSlrmUzmgK4/84Xu0K2vpdmgZoUmjj5wmnj7ETuoLVLVJi6eKiBeYDlQADwNLgC2qGnY2WQmUO4/LgRUAqhoWka1Aa2DDbp95DXANQJcutgiHMdmooltb7v/td90OIyPts6YgImcQO5k/CDwELBaRUU35cFWNqOoRQCdgMNA33mY7drWX13b+zLGqWqmqlWVlNtWuMcYkUlNqCv8LnKiqiwFEpCfwBvBWU3eiqltE5ANgCFAiIj6nttAJWO1sthLoDKwUER9QDGxq6j6MMcYcvKb0KVTtSAiOpUDVvt4kImUiUuI8zgdOBuYB7wPnOZtdCrzqPJ7gPMd5/T1V3dOa3sYYY5JgjzUFETnXefiliLwJPE+sOed84PMmfHYHYJzTr+ABnlfV10XkK+BZEfk9MBN4wtn+CeBpEVlMrIYw5kAOyBhjzIHbW/PRd3Z6vA44wXm8Hmi1rw9W1dnAwDjlS4n1L+xeXk8s4RhjjHHJHpOCql6eykCMMca4z6a5MMYY08CSgolLNUB0+/1E159EdMM5aP07bodkjEmBptyn4N3XNibz6OYfQc2TEFkB4S/RLT8lWvem22EZY5KsKTWFxSLyJxHpl/RoTFrQyBoIfkZs+qod6qH6IbdCMsakSFOSQn9gIfC4iEwWkWtExCYZyWTRzSBxxiDo5tTHYoxJqX0mBVXdrqqPqepQ4FbgTmCNiIwTkYqkR2hSz9cbyNmtMAdyT3EjGmNMCjWpT0FEzhKRl4EHiE170QN4DbBG5gwk4kNa/RWkGKQAyAdfX6ToZ26HZoxJsqbMfbSI2NQUf1LVT3cqf0FEjk9OWMZtkjMQ2n4CobngaYn4rFJoTDbYa1JwRh79Q1Xvive6qt6YlKhMWhDJgZxBbodhjEmhvTYfqWoEODFFsRhjjHFZU5qPPhWRh4DngJodhao6I2lRGWOMcUVTksJQ5/vOTUg7ltU0xhiTQZqSFK50ZjZtICI9khRP2gpFIvg8HmzZaGNMJmtKUngB2L23cTxwZOLDST+rNm/l+qcnsLhqI36vl5tGDuPSYdb5aozJTHtbZKcPcChQvNOCOwAtgbxkB5YOQpEIlz7+Amu3bieqSiAc5oGJn9CuZSGnHd7b7fCMMSbh9lZTOAQ4Eyhh1wV3tgNXJzOodPH1xi1sqa0jutOqoPWhMG98Md+SgjEmI+1tkZ1XgVdF5BhV/SyFMaUNv9e7S0LYIddnE8cakw1Wr9nChk3VdOvSmpZF+W6HkxJN6VNYLCK/BLrtvL2qXpGsoNJFl9Ji+nVsy9yV6whGIgDk+X1cPLTRKqPGmAzz92c+5l8vTMXv86Kq/Omu8zmsX7nbYSVdU2ZJfRUoBt4F3tjpK+OJCH+79BxO738IHUuK6NOhjEcuGc0RXTq6HZoxJomWLKvi3y9OJRgMU1MboLYuyB33vOJ2WCnRlJpCC1X9edIjSVMFuTncc96pbodhjEmhNWu34vXues28eUsNqprQYemfrf2GO6dOpDoY4Jweh3LLEcfh9bi7IGZTksLrInK6qtqMqMaYrNCjWxmRSLThuQh06dQ6oQlh6bZNXDFpPHWRMABPzptGrtfHjQOGJWwfB6IpKenHxBJDvYhsE5HtIrIt2YEZY4xbOnYo4Rc3n05Ojg+fz0P7tsX84c5z9/3G/fDpmq/ZeRhLXSTM61/PT+g+DsQ+awqqWpSKQIwxJp2ceFwfjh/am9q6IIUFuQmfzaA0Lx/PTp8pQJu8goTu40A0ZZEdEZGLReQO53lnERmc/NCMMcZdXq+HosK8pExvM7Jzbw5v3Z4Cn59CXw6F/lx+M/ikhO9nfzWlT+ERIEpsArzfAdXAw8BRSYzLGGMyms/j4V+njOHjNcupDgUZ3K4zZfnu1xSakhSOVtVBIjITQFU3i8juC/gaY4zZT16PhxPK02t+0aZ0NIecFdgUQETKiNUcjDHGZJimJIUHgZeBtiJyN/AxcE9SozLGGOOKpow+ekZEpgMnEesgP1tV5yU9MmOMMSnXlD4FVHU+sF8DaEWkM/AU0J5Yc9NYVX1AREqJLe3ZDVgOfNfppxDgAeB0oBa4zJb8NMaY1Erm/dRh4Ceq2hcYAlwvIv2A24BJqtoLmOQ8BxgF9HK+rgEeTWJsxhhj4khaUlDVNTuu9FV1OzAPKAdGA+OczcYBZzuPRwNPacxkoEREOiQrPmOMMY2lZOYlEekGDASmAO1UdQ3EEgfQ1tmsHFix09tWOmW7f9Y1IjJNRKatX78+mWEbY0zWaVKfwsEQkULgReAmVd22lzsD473QaIUbVR0LjAWorKxsvAKOMU0QjSr/mPQ578xaRLuSQm49dzjlrYvdDiuhNq7ezOIvltOhe1u69Mn8dQBMYiQ1KYiIn1hCeEZVX3KK14lIB1Vd4zQPVTnlK4HOO729E7A6mfGZ7DX2nSn8/d3PqQ+FWbBqPbOXr+X1Oy6nIC8z7suc8/F8fjX6PjxeD5FQhMt/dwHn3HCa22GZZiBpzUfOaKIngHmq+uedXpoAXOo8vpTYIj47yr/vzLU0BNi6o5nJNH/TF61k/H+/YM6y9PiVvv75POpDsSmLo6oEwmHmrazax7uajweuf4L6mgC12+oI1AV5/Bf/IlAXdDss0wwks6YwDLgEmCMis5yyXwJ/BJ4XkSuBb4DzndfeJDYcdTGxIamXJzE2k0J/e3My/5j4OaqxNsKbzz2e7x4/wNWYSgryWLHh2+eRSJTiFnnuBZRgNVtrdy0QIVAXJDc/M2pCJnmSOfroY1UVVe2vqkc4X2+q6kZVPUlVeznfNznbq6per6o9VfVwVZ2WrNhM6gRDYR57awr1wTCBUJj6UJg/v/QRqu52B91+/jdo9wEAAA9zSURBVAgKcv0U5OWQn+Nn1JF96NWxjasxJdKplw0nt0UsAeTk+elzVE+KWrk/2ZpJf0nvaDbZLRSJsvt4gVAkEqs17GU24lAkwsJV68nz++nRvjThUxf37dyOV2+/jNnL19K6ZQsGdMus0c+X3nkepe2KmTZxNl37lnPR7ecmZfpnk3ksKZikKsjLYfAhXZixeBWBUJg8v48TB1Tg8QihUIRH/vI2Uz5ZRNt2xfz0V2fRqXMp1XUBLrn/WdZu3k40qpzYvyd/+P6ohJ/UyooLOWlARUI/M12ICGddO5Kzrh3pdiimmXF3hWiTFe7/wVlcPGIQQ/t15YpTB3PX908FYOxD7zLxzdmsr9rOV3NXcsu14wiFIjz13nRWrN9CbSBEfSjMB3OWMnXhin3sxRiTCFZTMEmX6/dxw1mNFyOf+tliAoHYCCBVqKsLsm7tVqq21jjNTjEisKm6ttH7jTGJZzUF45ryTqV4PN82CUWjSqvSAk4d1Js8f+x6RZyvIys6uROkMVnGkoJxzc23nUHb9sXk5PrIyfFx6x2jKSjI5Zg+XfnjpaczqGc5x/brxribx9C2uNDtcI3JCuL20MCDUVlZqdOm2cjV5iwSibJ5UzVFLfPJzfW7HY4xWUFEpqtqZbzXrE/BuMrr9dCmrKXbYRhjHNZ8ZIwxpoElBWOMMQ2s+cjstwUzlvPkXS8SDkW45OdnccTxfdwOyRiTIFZTMPtl45ot3HbO//LFxwv4cspi7rzoIb5ZmB4znxpjDp4lBbNfFs/+Btnp3gIR+GrqEhcjMsYkkiUFs1869igjEo40PFegc6/27gVkjEkoSwoHYeLH8zjvuscYc+MTTJm13O1wUqJzrw5cf99FFLTMJ68gl4tv/Q6HHp2Zk8oZk43s5rUDNH/JWq6741kCwdjcPXm5Pp75y+W0L8usdX6NMZlnbzevWU3hAC1cWrXLVM5er4elKza6GJExJpO8vWQR9336X2atTe1ADhuSeoB6dW+7y+phkUiUHp1buxiRMSZTTFgwj9vee4e6cJh/fDGD1y64mJ6lqTm/WE3hAPWtaM/PfziSDmUt6dyhFff8bLQ1HRljEuLjFd9QF441TYsIX1StS9m+raZwEE49vh+nHt/P7TCaJByJ8sy705m9dA0nHlHBmcc0j7iNyUan9ezFa4vmo6oIMLhjecr2bUkhSzz40n954aPZ1AfDfPbV14gIZwzp63ZYxpg4RnTvwT/PPo85VesY3rU7nVqmrhXCmo+yxEezl1HvjJSqD4b5cLbdcGZMOjuyQzmXDRhEt5JWKd2vJYUscXj3duT4vADk5fjo36ODyxEZY9KRNR9liV987yREPHz19VpO6N+DC0cMdDskY0wasqSQJVrk5XDX5ae6HYYx+yUcifLEe1OZv2o93z9hEAO7p67DNVtZ85ExJm09/dF0Hp/0Oe/OWcwPxr7E5uo6t0PKeJYUjDFpa1nVZupDsQESqrCxusbliDKfJQVjTNq66LiBFOTmkOv3Mah7OT3a2qwByWZ9CqZZWbGkij/d+hy1NQGu//VoBg7t5XZIJokO6VjGe3dezabqOspLW+4y35hJDqspmGbl9zf+k8VfrmLVsg389rqnCDn3XpjmYfqH87jkqDu4YeS9rFu5qUnvaZGbQ6fWxZYQUiRpSUFEnhSRKhGZu1NZqYhMFJFFzvdWTrmIyIMislhEZovIoGTFZZq37Vtq2TEPYTgUIRSM7P0NJq3cd8M4NqzewtJ5q3j8d6+4HY6JI5k1hX8Ap+1WdhswSVV7AZOc5wCjgF7O1zXAo0mMyzRjV992Bv4cH/4cL2d/fxgtCnPdDsnsh9z8HCA21XyLAvvdpaOkLrIjIt2A11X1MOf5AmC4qq4RkQ7AB6p6iIj8zXn8792329vnu7nIjttmb5nLI0ueQBCuq7iKw4uzZ4K77VtrCQUjlJYVuR2K2U/LvlrFX+98kVZlRVx/zwUUlbRwO6SstLdFdlLd0dxux4neSQxtnfJyYMVO2610yholBRG5hlhtgi5duiQ32jT24OK/URepjz1e9Fceq3zQ5YhSp6jYTiTNVfd+5dw7/ka3wzB7kS4dzfF6kOJWYVR1rKpWqmplWVlZksNKXxGNxH1sjDEHI9VJYZ3TbITzvcopXwl03mm7TsDqFMfWrFzV/fv4xIdPfFzV/ftuh2OMyRCpbj6aAFwK/NH5/upO5TeIyLPA0cDWffUnZLthbYZwTOvBAHgkXSp8xpjmLmlJQUT+DQwH2ojISuBOYsngeRG5EvgGON/Z/E3gdGAxUAtcnqy4UkFV+XTJN2yqqeXkvhXk5/iTsh9LBsaYREtaUlDVC/fw0klxtlXg+mTFkmp//2Q6D703GYBxn85g/A+/ZzfeGGOaBbvUTIK35i6kLhSiLhRi3pr11IXsrltjTPNgSSEJTu3Xi3y/j3y/j0PatyHfb1NMGWOaBztbJcGVx1VySIcyNlbXMvLQXtZ0ZEyWiESjfPj1cnq0apXytZUTxZJCEogIx/Xq5nYYxpgUe3T6VB6eNgWPCFOu+CGFOTluh7Tfsq75qD4Y5idjX2PUrx7npU/muB2OMSaDRKJRIDYCUePff5v2sq6m8PKnc/j4y2UEwxH++Pz7jBhQQUlhvtthGWMywPVHDaF36zb0Km1NUU7znPAv65KC3+vF47TxC+D1WHu/MSYxfB4Poyp6ux3GQcm6pDB66KHMW7GOucvXcvWoIRS1yHM7JGPS3lMLZvD5uhXcXjmC9i1sdtpMlnVJwe/1csf3TnE7DGNcs3BrFT/85Dl6tmzDo0MvwOfZe9fixvpafvv5RKKqtMzJ5e4huy+TYjJJ1nU0G5PtXl8xl1W1W/i0ahnLqzfuc/vinDwqilvjEeGEjj1SEKFxU9bVFIzJdud0HcD7qxdRUVxG96LW+9ze5/HwnzOvJBiNkOu1U0ams9+wMVmme1FrXhv5g/16j4hYQsgS1nxkjDGmgSUFY4wxDSwpGGOMaWBJwRhjTANLCsYYYxpYUjDGGNPAkoIxxpgGlhSMMcY0sKRgMl5NTYDX3phFdXW926EYk/YsKZiM99bbs/nzA28z4fVZbodiTNqz+9ZNxhsxvC+bt9Ryykn93A7FmLRnScFkvNLSQq6+4gS3wzCmWbDmI2OMMQ0sKRhjjGlgScEYY0wDSwrGGGMaWFIwxhjTwJKCMcaYBmmVFETkNBFZICKLReQ2t+MxxphskzZJQUS8wMPAKKAfcKGI2N1GxhiTQmmTFIDBwGJVXaqqQeBZYLTLMRljTFZJp6RQDqzY6flKp2wXInKNiEwTkWnr169PWXDGGJMN0ikpSJwybVSgOlZVK1W1sqysLAVhGWNM9kinpLAS6LzT807AapdiMcaYrJROSeFzoJeIdBeRHGAMMMHlmIwxJqukzSypqhoWkRuAtwEv8KSqfulyWMYYk1XSJikAqOqbwJtux2GMMdkqnZqPjDHGuMySgjHGmAai2mjUZ7MhIuuBrw/w7W2ADQkMp7nI1uOG7D12O+7s0pTj7qqqccf0N+ukcDBEZJqqVrodR6pl63FD9h67HXd2OdjjtuYjY4wxDSwpGGOMaZDNSWGs2wG4JFuPG7L32O24s8tBHXfW9ikYY4xpLJtrCsYYY3ZjScEYY0yDrEwK2bLsp4g8KSJVIjJ3p7JSEZkoIouc763cjDEZRKSziLwvIvNE5EsR+bFTntHHLiJ5IjJVRL5wjvu3Tnl3EZniHPdzzoSTGUdEvCIyU0Red55n/HGLyHIRmSMis0RkmlN2UH/nWZcUsmzZz38Ap+1WdhswSVV7AZOc55kmDPxEVfsCQ4Drnd9xph97ABihqgOAI4DTRGQIcC9wv3Pcm4ErXYwxmX4MzNvpebYc94mqesRO9yYc1N951iUFsmjZT1X9CNi0W/FoYJzzeBxwdkqDSgFVXaOqM5zH24mdKMrJ8GPXmGrnqd/5UmAE8IJTnnHHDSAinYAzgMed50IWHPceHNTfeTYmhSYt+5nB2qnqGoidPIG2LseTVCLSDRgITCELjt1pQpkFVAETgSXAFlUNO5tk6t/7X4BbgajzvDXZcdwKvCMi00XkGqfsoP7O02rq7BRp0rKfpvkTkULgReAmVd0Wu3jMbKoaAY4QkRLgZaBvvM1SG1VyiciZQJWqTheR4TuK42yaUcftGKaqq0WkLTBRROYf7AdmY00h25f9XCciHQCc71Uux5MUIuInlhCeUdWXnOKsOHYAVd0CfECsT6VERHZcAGbi3/sw4CwRWU6sOXgEsZpDph83qrra+V5F7CJgMAf5d56NSSHbl/2cAFzqPL4UeNXFWJLCaU9+Apinqn/e6aWMPnYRKXNqCIhIPnAysf6U94HznM0y7rhV9Req2klVuxH7f35PVS8iw49bRApEpGjHY2AkMJeD/DvPyjuaReR0YlcSO5b9vNvlkJJCRP4NDCc2le464E7gFeB5oAvwDXC+qu7eGd2sicixwH+BOXzbxvxLYv0KGXvsItKfWMeil9gF3/OqepeI9CB2BV0KzAQuVtWAe5Emj9N89FNVPTPTj9s5vpedpz7gX6p6t4i05iD+zrMyKRhjjIkvG5uPjDHG7IElBWOMMQ0sKRhjjGlgScEYY0wDSwrGGGMaWFIwJgFE5OwMnljRZBFLCsYkxtnEZt1tZKe7ao1Je5YUjIlDRC521iaYJSJ/c6ZcR0SqReRuZ82CySLSTkSGAmcBf3K27ykiH4jIPSLyIXC7iCxzpt5ARFo68+D7d9vnd5z5/2eKyLsi0i7lB26yniUFY3YjIn2BC4hNNnYEEAEucl4uACY7axZ8BFytqp8Sm1rgZ8689kucbUtU9QRV/S2xeYjOcMrHAC+qami3XX8MDFHVgcTuxL01OUdozJ5ZtdaYxk4CjgQ+d2ZWzefbScWCwOvO4+nAKXv5nOd2evw4sZP8K8DlwNVxtu8EPOdMYpYDLDvA+I05YJYUjGlMgHGq+os4r4X027lhIuz9f6hmxwNV/UREuonICYBXVefG2f7/gD+r6gRnDp/fHFD0xhwEaz4yprFJwHnOHPU71rztuo/3bAeK9rHNU8C/gb/v4fViYJXz+NI9bGNMUllSMGY3qvoV8CtiK1rNJraCWYd9vO1Z4GdOJ3HPPWzzDNCKWGKI5zfAeBH5L7BhvwM3JgFsllRjUkREzgNGq+olbsdizJ5Yn4IxKSAi/weMAk53OxZj9sZqCsYYYxpYn4IxxpgGlhSMMcY0sKRgjDGmgSUFY4wxDSwpGGOMafD/AW9ZzU5r1+zrAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dat = {'x1': np.arange(50),\n", " 'u1': np.random.randint(0, 50, 50),\n", " 'u2': np.random.randn(50)}\n", "dat['y1'] = dat['x1'] + 10 * dat['u1']\n", "dat['y2'] = np.abs(dat['u2']) * 100\n", "\n", "plt.scatter('x1', 'y1', c = 'u2', s = 'u1',data = dat,)\n", "plt.xlabel('entry a')\n", "plt.ylabel('entry b')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 30, 300)\n", "u = 30*np.random.randn(300)\n", "y = 3 + 5 * x + u\n", "\n", "colorN = np.random.randint(0, 50, 300)\n", "sizeN = 100 * np.random.randn(300)\n", "\n", "plt.figure(figsize = (15, 7))\n", "plt.scatter(x, y, c = colorN, s = sizeN)\n", "plt.title('I am from Matplotlib', size = 20)\n", "plt.xlabel('X-axis', size = 18)\n", "plt.ylabel('Y-axis', size = 18)\n", "plt.savefig('pic1.jpg')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Population of City')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "city = ['Helsinki', 'London', 'NYC', 'Warsaw', 'Chongqing']\n", "popu = [100, 800, 850, 170, 880]\n", "\n", "plt.figure(figsize = (16, 7))\n", "\n", "plt.subplot(1, 3, 1)\n", "plt.bar(city, popu)\n", "\n", "plt.subplot(1, 3, 2)\n", "plt.plot(city, popu)\n", "\n", "plt.subplot(1, 3, 3)\n", "plt.scatter(city, popu, s = 500)\n", "\n", "plt.suptitle('Population of City', fontsize = 20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Line property" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " setp() is the set property function." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x1 = np.arange(0, 10 ,.1)\n", "y1 = np.cos(x1)\n", "y2 = np.sin(x1)\n", "\n", "line1 = plt.plot(x1, y1)\n", "plt.setp(line1, color='r', linewidth=4.0,\n", " alpha = 0.5, animated = True, dash_capstyle = 'projecting',\n", " label = 'I am the first line',linestyle = '--')\n", "\n", "\n", "line2 = plt.plot(x1, y2)\n", "plt.setp(line2, color='b', linewidth=4.0,\n", " marker = '+', markeredgecolor = 'r', markeredgewidth = 3 ,markerfacecolor = 'b', markersize = 10)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " agg_filter: a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array\n", " alpha: float\n", " animated: bool\n", " antialiased or aa: bool\n", " clip_box: `.Bbox`\n", " clip_on: bool\n", " clip_path: [(`~matplotlib.path.Path`, `.Transform`) | `.Patch` | None]\n", " color or c: color\n", " contains: callable\n", " dash_capstyle: {'butt', 'round', 'projecting'}\n", " dash_joinstyle: {'miter', 'round', 'bevel'}\n", " dashes: sequence of floats (on/off ink in points) or (None, None)\n", " drawstyle or ds: {'default', 'steps', 'steps-pre', 'steps-mid', 'steps-post'}, default: 'default'\n", " figure: `.Figure`\n", " fillstyle: {'full', 'left', 'right', 'bottom', 'top', 'none'}\n", " gid: str\n", " in_layout: bool\n", " label: object\n", " linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n", " linewidth or lw: float\n", " marker: marker style\n", " markeredgecolor or mec: color\n", " markeredgewidth or mew: float\n", " markerfacecolor or mfc: color\n", " markerfacecoloralt or mfcalt: color\n", " markersize or ms: float\n", " markevery: None or int or (int, int) or slice or List[int] or float or (float, float)\n", " path_effects: `.AbstractPathEffect`\n", " picker: float or callable[[Artist, Event], Tuple[bool, dict]]\n", " pickradius: float\n", " rasterized: bool or None\n", " sketch_params: (scale: float, length: float, randomness: float)\n", " snap: bool or None\n", " solid_capstyle: {'butt', 'round', 'projecting'}\n", " solid_joinstyle: {'miter', 'round', 'bevel'}\n", " transform: `matplotlib.transforms.Transform`\n", " url: str\n", " visible: bool\n", " xdata: 1D array\n", " ydata: 1D array\n", " zorder: float\n" ] } ], "source": [ " plt.setp(line1) # get all callable properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Working with multiple figures and axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " MATLAB is using the concept of current figure and axes, pyplot borrowed this concept as well." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def f(t):\n", " return np.exp(-t) * np. cos(3 * np.pi * t/2)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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BC9csDLpEERERkS5BIa+biYQ8Jp8xlJfWbmf11rKgy5FO6HB644pKipg4fyIVyQqSfv2Jf5J+kopkBRPnT1SPnoiIiEgrUMjrhi4fM4RY2OPBl9cHXYp0MofbGzdr8SyS6eZndU2mk8xeMrvJ/RrqKSIiInJwzLmWT8BhZucDPwdCwBzn3J377b8ZuA5IAcXAfzrnNmT2pYE3M03fd85deKDnGz16tFu6dGmL6+7OvrmgkL+t2MSS2z5Fr+xo0OVIJ1BUUkTBvQVUJCuabJMdyaZwWiHD84fXbqtMpBn441NJVOcTdYMJ+4OJuiE4HAnvXaq9d6n2VpG094ln5VJ6a2mDx124ZiET508kmU7W6wmMeBEioQgLJi1gwogJrfsDi4iIiHRgZrbMOTe60X0tDXlmFgJWA+cBG4HXgMudc2/XafNJ4BXnXIWZ3QCc7Zy7NLOv3DmXeyjPqZDXcqu27Ob8n/2bWyecwLSzhh/4AOn2pj8+nTnL5zQYbrmXuRx6cDSfGnIlYwdcyNpt5awtLmfjzkr2/plxpEnZZpK2EQgR848nRB4APpUkvDXcfObFnDqkN6cO6UXf3Nhhh0sRERGRrqy5kBduhccfA6x1zq3LPNkjwEVAbchzzj1Xp/0SYHIrPK+0wAlHxBl3TB/mLt7AdR8/mnBII3elefMK5+0LeM4jJ30WUf94Im4wEX8QYfoAULgaVq3bwPB+uYwc3JuJpw3mB4tuoCy9hqRtBkvte1AHYXcEMf8Eov7xZHMi9724jlRmiY8h+dmkQmuIVp1Hyt4mYe/VPz5j71DPuy+4u81/DyIiIiIdXWuEvKOAD+rc3wiMbab9tUDdC3eyzGwpNUM573TO/bWxg8xsKjAVYMiQIS0qWGpcPX4Y189dxtNvb2XCyUcGXY50cOWJcgBi6ZPJT15P1A3Dp4KkvU9VaDlJ20jSe5+Ut4nK724k5Fntse9WH8ec5S+Cv19AM0jZFlLeFhLey1wxaio/OfcrvLW5lNff38nr7+/i8ZU9yHNfJg9wJKj21lLtraQs9ARprxiombxlbuFchTwRERERWifkWSPbGh0DamaTgdHAWXU2D3HObTazY4B/mdmbzrkGMyk45+4D7oOa4ZotL1vO/cgABvXuwYOL1ivkyQHFw0OJVFxKTvoTpGwL26J3UOktbvAXIB6L1wt4ADPGzeDhFQ83OdQTIBKKcNMZN9EjGuL0YfmcPiwfAO/20/Fcfm1vX8w/gXjqYuKpiykPPcvu8HxS3pbaECoiIiLS3bVGyNsIDK5zfxCwef9GZnYu8C3gLOdc9d7tzrnNma/rzOx54FRA0+W1g5BnXDVuGHc88Q4rN5dy0sC8oEuSDqgqmebXL6wjf8/PSfkpdoXnsTv8Z5wlGrSNeBGmFExpsH14/nAWTFpwwMlTGrumLjeaS1liBxWhl6kIvQxAyO9LPPUFctOfITd9LntCL5DOfqIVf2oRERGRzqs1LsR6DRhhZkebWRS4DHisbgMzOxX4NXChc25bne29zSyW+b4vMJ461/JJ27vk9MH0iIS0nII04Jzjybc+5FOzXmD2M6s5c0Qvdub+F6WRRxoNeLCvN64xE0ZMoHBaIVNHTSUei+OZRzwWZ+qoqRROK2xydszJBZOJeJF629LednZG72NT1rXsDv+V7PTHyCv7CV/53XLe3ry7ZT+4iIiISCfXWksoXAD8jJolFB5wzt1hZj8AljrnHjOzZ4CTgQ8zh7zvnLvQzD5GTfjzqQmcP3PO3X+g59Psmq3r2399k0df28ii286hb24s6HKkjRWVFDFr8SzmFc6jPFFObjSXyQWTmTFuRm1P2pqtZdz+97d5ae12TjiiJ9/73EmMG94nkKUMDmZ2zZzQAL7+0b/y2OullFenOPcjA/jaOcdyyuBeh/Rzi4iIiHQWbbqEQhAU8lrX2m3lnPvTF5hx3nF87VMjgi5H2tCBQtpvL5zPyveG8fDi9eTGwsz49HFcMWZIvdlXi0qKmL1kNnML59aGpSkFU7jpjJvaLCwdbLgsrUjy8OL13P/Se5RWJjnzuH58/ZxjKU6+onX2REREpEtRyJMD+tIDr7Lqw928fOs5RLScQpfUbI+YM3LT59I7dTUhl8flY4dwy6ePJz8n2v6FNuFQwmV5dYq5izcw59/r2LEnQSL0FjtDv6fKK2x0qiitsyciIiKdjUKeHNBzq7ZxzUOv8fPLRnLRyKOCLkfaQFOLmUfTJ5CfnErMHUe19w7njixh7iU/DKjK1lWZSPOFh2bx1ntHEnL5VHnvUBp+hCpvWb2wF/EiTB01VUswiIiISKehkCcH5PuOT/zkafaktrHOm65rlrqg+Mw4ZYmy2vuey6F3ciq56U+RYgc7Iw9QEXqBeFac0ltLA6y0dcVnximrriI3fS55qUmEXX+qvEJKIr8i6e1b4jMe61o/t4iIiHRtzYU8jcsTAJ4qepJVlb9mV1lvqquOxOEoS5QxZ/kcCu4tYOGahQd+EOnQ6q4j57k8BlTPJCd9JqXh+WzOup6K8AtgdLn15soT5WBJysML2RSbyo7IPUT8ozmy+i56Ja/BXNa+diIiIiJdgEKeUFRSxMT5E9nJQnwqiKcurN2X9JNUJCuYOH8iRSVavrAzy43mAhBy+RxRfSdhdxTbov/DrsjDOKtq0K6rqPfzWIry8EI2Z11PeehZ8lJfZGDVvWSnx5Mb6Vo/t4iIiHRfCnnCrMWzSKaTOKukPPQ02emPE3L59dok00lmL5kdUIXSGiYXTCaLgQyovpOQ68O26PeoCi2v16apxcw7s8bW2fNtNyXRu/gwegu+ldIvcRsj7BcUFas3T0RERDo/hTxhXuG82sk4ysJ/Bzx6pv6jXpukn2Ru4dwAqpPWcunxX6Nv1Q/xXJytse9QHXqrQZvmFjPvrGaMm0EkFGl0XyK0ig9jN1GWdT+Vlf05/2cv8pOnVlGZSLdzldLdFZUUMf3x6cRnxvFu94jPjDP98ekaQSEiIodFIU/qXYuU8rZQ4S2mZ+qzmMtpsp10Lqu3lnHLHzeRF+tLac7tuPC6evsjXoTsSDYLJi3ocpPsDM8fzoJJC8iOZDfo0Yt4EbKjWcy78ss8f8s5fK5gIPc8V8S5P32Bf67cwt6JqXQCLgfjcF8nC9cspODeAuYsn0NZouywronWa1REROrS7JrSYNbFiH80A6vvYld4HqWRR/a10+yDndJbm0qZcv8rREIev7tuLF5kW7svZt4RHOw6e6+s28F3/vYWq7eW88nj+/HJgu3c8NQkLaQuzVq4ZiET50885NdJs+tXZhxoHcfDfe66NcxaPIt5hfM0s7KISCeiJRSkWY2tn9av+jvE/I+wKetanFVqHbFOatmGnVz94KvEsyL87rqxDOubc+CDhGTa5+FF65n1z3epSFZRGp5PaXgBWLJBWy2kLi0Jak2tX1lXc39/WxoSWxoQRUQkOM2FvHB7FyMdz4xxM3h4xcP13uBLI49wZPVseqYuYHfkT13yWq2ubnHRDq59+DX694wx77qxDOqdHXRJnUYk5HHdJ45hUfFdPL4sRq/UleSkz6Ek8muqQvU/YNo7KZE+AOkaDqdXa+/kVc2p+zpJpn12ViTYuSfJI8uXE0mOIebihFwenovjkY0jjSMJlsSRZP6rezgxey3RkEcs7BHN3H674nd41SPJclU4kjhL4LOLlO0ASzV47v1/1onzJzYaEJN+TeibOH+iPsQQEemE1JMnQOOf5vavvp2ofywlPb/Kgkt+p09zO5Hn393G9XOXMSQ/m99dN5b+8aygS+qU9g5lzkqfQn5yGhE3mApvMTsj95Pytuxrp6HMXcLh9mrVDnl3RtgdQdQdQ9jvj0ceIRfHc3l4xInQi97RweyuSjVZQ5pynFWAC2FE6twO/TPZNDtJ2Q7StgMvvJvvfPKrHBHP4si8LAbkZfGjxbfx0IpfH3YvImiop7SPlrzO9BqVrkzDNeWg7H/NUp53GvHy7zPtk/259TOnB12eHKQn39rC1/6wnBH9ezL32jH0yY0FXVKn5d3u4cj8jXRh4qnPk5e6FCPM7vBfKQ0/irNKPPNIf1czcnZmhzrsMZHyWb21jLc/3M0Nf7mDiDuGqH80Hvt6zB1J0pTi227SVopvZUwfM4X8nBj5ORHyc2JM+dvFlKe21OynDKzx11E8msfWW3ZQnfJJpHwS6ZqvJ9x1EhAGtzcMRgm53oRdX0KuDyHXJ/N9X0LEGzxumnLStp20bSdlO0jZVlLeRpK2iaRtBks2+SGGhnrKwWpJ0GrJ6yzo61UVMKWtKeTJYbv8viWsLS7n39/4JFmRUNDlSEZTbxwj867jR09soWBQHg9dM4a8Ho0vHSAHZ/9JiaBmMfleyavITX+KNDvZGXmYUPZrlN62K6AqpTU0d22cuR5E/WPowQhO6n0+ce9E1mwrI5muef90VFHtrSNh60h6RSS8dSRtM45KsH2P01hYauk1eY29RhsTj8XZOqOELaVVfFhaxZbdlVzzp5vxXB/CtWGwHyF61x7j8EnZNlK2ka+Mm8Qx/XIY3i+X4f1y2J3cyCm/PqVFE8aAToI7k8P9t2pJ0GrJNadBX68aZMDU/6tD11l/Zwp5ctgWF+3g8t8s4fYLT+Kqjw0Luhyh6TeOvPQE8hI3cPyRHn+e9hlyY7rktqWaOwGP+seRn5hKzJ1AXm4p908+n9HD8gOoUlpD3SGXUTecrPQpRP0RRN0xRNzA2na+lXL2iGM5aWCcE4+Mc9LAOD955Rvc//rhBbWWnoi2JCQ2FhDNZRFxRxH2jyLiBhFxg4gxhJ7ecCqT+3oZw6EkFW49CfuAlG0i6W0kaRtre/+ae9691BPY/to7qAX5+m7JsS2tO8iA2Rr/r4IKmEH1nHbmv0VtHvLM7Hzg50AImOOcu3O//THgt8AoYAdwqXNufWbfbcC1QBr4unPuqQM9n0Je+3HOccmvF7NxZyXP//fZxMLqzQtSU28cPVOfIz95PZXeMspzZlN4w9IO/clTZ3HAN2pn9LbzODp0MzvKU1x4ykBunXACA3v1aN9CpdbhvMlv213F8J98liz/VLLSpxIiD4CkbSZh75HY2zvnrcPZLtLfqz+kMsgTuvaa2fMX59/Flt1VFBWXs654D9988qe4VD8ibhBh17+2vSNNyrbWBD7vA8KRHTx59YMc268nedn7Rha0xtIRnfWT95YIYthjq77GnIeRhRHFXM3w4ohlc/EJk/jamJtJpHyqUz7VqTTVSZ9p//gq1Skfc9Ha4cj1uscz38dCUW4c+181T5HZ8/MlvyDhJ7A67R0+kMxMbJTCkSIrEmL2+f9HxPOIhI1IyOOB13/D0+sWknLVte2wJD7VOKpxVk3Yc1w36kvc8x8NP8QIKmAGvSRLkOE0yGVsgtSmIc/MQsBq4DxgI/AacLlz7u06baYDBc65aWZ2GXCxc+5SMzsR+AMwBhgIPAMc55xr9uIWhbz29eLqYr70wKv88OKTuWLskKDL6dYae+OIJyfSO3U1Fd5iiqM/IhIyLXfRig7mjeOsoedx7/NF/PrFdZjBtLOGc/2Zw+kRDXXLE9GgHOybfHUqzdL1O3lxdTEvrC5m1Zaa3qw0O6kMvU6Vt5zK0Ov41vA6tLa6Pu1g13Fsyc/d2HMe7slN3etVzcUIu4FE/MG1vX813x+VOSmv0Tc3WjPcs38urxcv5KVNC6hkPWnbDtbwXKS5nsCgr7Vqic427LHu+465WGYG2Fw8l4NHNp7LIWw9GTvwbM4ecj67q1KUVSUpq0rxTNHLOD+2ry0tm+XZkWJfjNs7XLrma49wDyyT5wxjT3JPg7bgZcJi631gHQ17ZIU9ekRD9IiEyIqEeKt4OSlXgU+iNhQ6qvGtCkdV7bZY2Hjw4nvJjoboEQnTIxpi1uIfsuCd35Fw5TXtqK6fa2mb3ksILmAG2XPa0t9Z0No65I0Dvu+c+0zm/m0AzrmZddo8lWmz2MzCwBagH3Br3bZ12zX3nAp57cs5x+d/uYgd5dU8d8vZREJe0CV1W/sPr8pLXkqv1BT2hJ5ne2R27aQNmu2xdR3sCfjGnRXMXLiKxws/ZGBeFuefWs2Plk2qnY5+r84wBKSzafZN3oPT/vIAACAASURBVEHYDSKPsZxz1Fcp/KCSqqRPJGSMHprPmcf14+Wtv+HRd2eTdIkmn+NgZpo83KDWUof73C2eUbQ5zqNX5Bj+9MWXWLutnKJte1hbXM7abeWUVu57Lp9KkraJlPdhzcQvtbctZGdVUXrbjgY/a9BrA3aJYY8uTIiaZTtCLk7EenPm4AmcO+zz7NyToKQiya6KBM8VvQYuJxPump+pORr2iGeF6ZkVoWdWmFc3v0CaPTirwGcPvlXgU5kJPUkcCZwlMEvx9JQniEU8YuEQsXDN15Pv/QjlyZJM2ySY3+jzNvae1+xr1HlACCNMPNqb1V8tIpH2SaYdqbTPR385EghjLpyZ2TZcEw5dDCOGRwxzUTzL4hsf+zbVSZ/KRJqqVJrKRJq/rVqY6a2s2z4r8/2hzXbt8Gt+T3XCoiOB56U4++jxZEU8sjLhct6bD1Dtl9Vpn/lKsqZH0pJAih6RCE9c+RiRsEc0lFmSJeRx+4vf4Q9vzSXhVwKpmt85fr2Q2RYB81CP9X1HynekfUfK97n5yRnMLfw9Kd/PzEwcqv33rfm3CxOxGJ897vNMH/01Un7Nv3Uy7XP1X66lKpWs0zZE0jZQFVpR7/k76nlVW4e8icD5zrnrMvenAGOdc1+t0+atTJuNmftFwFjg+8AS59y8zPb7gYXOuQWNPM9UYCrAkCFDRm3YsKFFdcuhefadrVz78FJ+MrGASaMHB11Ot1X30/Oc1Nn0Td5Ceehf7Ij8rN6bn2Z7DNYr63bwrb++ztpt1VR5K9kZuY+EV9SgXUceAtLZ7H+SYK4HPfxTyUqfRg//tNohhTk9ypk48iTOPK4fZxzTh5zMtaudfchOSxxOQGzJCZ1zjsjt+Znr/gYT8Qdlhn0eQdgNwNg3rNPhc2Q8myH52QzK78Hg3tk898F8/vX+fKrcJtJW0uiJf1tdawUdZNjj/hxEvZ5ccdL1fP30/0fJngQ79iQoydzuWvwg6XSPmrUY9y7t0UyvWjwrTH5OlN45URZt/CdpKyVtu/HZjW9lpK0MRwW+7cHPfMUqSX+vuv7jHMLEQI2dQAd1TV5L624+YFpNACSLeKQvr1z3OhWJNBWJFJWJNBf9fhKQlQmGsczw1hiei2WOq9nuEWP84E/WhMtkze2D0m0Y0UMOkgfiSFPTG+rj8DF88rLieJ4RMsPzjK3lm/FJ17aBvf8vjX0p0fAsxLBeQ3EO9kaQ90s/qDm3cfvaGh6wN4zv/bo3uLWtstBCSqL31NvWUc+r2noxdGtk2/7Jsak2B3NszUbn7gPug5qevEMpUFrunBP6c9LAOL98vogvnDaIkNfYP520tdxoLmWJMmLpk+iTvJEqbwU7Ir9ocJKTG80NqEIBGHtMH0Yc92eW7lpPz8SVHFE9m/LQ0+yKzMW3fbNwaiH1xh1OL8m8wnmk0znkpseSnR5Hln8KRgSfPVR5KygNP0qV9zrZsUpuv6jhSdnw/OEsmLTggCfvXS3gQc3PfvcFdx/S63DGuBk8vOLh5k+gQxFuOuOmBtvNjOxYmrLESqpZWX+nM0LkE/ZrAl9OaAjjj/0vPiipYHHRDv6yexPOjaQvI2uakyRlxTXLQLAbf28Ysd08snQtl44opnd2lD65UXpnRw954fr9tWQB+YN67lSKH790F9/++A8prUyyuzJJaWWS+Us30SP5WXLIxXO5meGSPWt64cgj5PIwojz3Gjz32qJ6jxkNe4TSJ0JmOY+kbcantHZZD992Z353u3FeORXfLq43Yic+c8JBB579TS6YfFBBa0rBlEb3teR11pJjW1p3s8ebw1FN2PO58tTzOW5Az3q7vew3Dvr3/acbvlV/W+0EUmQC4d5QGIY6a27mRHrxj8ueoDqzFEsy8/Wqv1zL3p4vyyzLQiZs7QtdHh4hrjntRnxX05vmO8dvlv2dmtP6UJ22UHNav29orQGnDz0187uoGVr77oq/17arXbYIH0jXBEZL40hjOL595m2EPI9wyAhlQuYtT9+UCZh7Q2bN986Sme9TNcdbmheveY5wyCMSqrn+csxvRrEnuRtnmWsvSeHTcERHZzyv0nBNOWhPvvUh0+Yt5+eXjeSikUcFXU63NP3x6Ty49HH6Vt6Jb6Vsid1S8wlqHR157Hh3svfN1lw2ealLiacuxJGiPPQMZeG/k/I217TroENAgnKovSTvbd/DP1du4ftP/ZmofwKGR9I+pDK0hApvCdXeqnprzx3o09ggh1x2Ni0Z9ni4vSzVqTQ9/2cIITeAcO3tCEKud00vlYvj0TNzktmQo4q07aoNNTW9U+W1w9hqJuRIEgtHuPPc/yUS9oh4NSeDkbDHg2/M4Zl1T5Jy1bXta3oWMifQLkLYevCJIedw8QmTaicQSaR9Zi+6i2SafQvcuyhGjzqhLReP7GavF3Ok8SnP9KCVZYLa3l62UnxvN3+7Yl5NsM2JkZ8bJScaIu/OvMPumQpylkoIZjKPznqNWHsuyXJIw2Pb8NiWHq9r8pp/8DA1E698CthEzcQrVzjnVtZp8xXg5DoTr3zBOXeJmZ0E/J59E688C4zQxCsdk+87Jvz83/jO8dR/nYmn3rx2t3zTai685wXMz2FLbAYpb0uDNl11SFlnU28hdSDsDyQvdRk56U8AISq9pZSFHyMRKmwwW2N3dVAnRuFs5n/+FVZuDPPPlVtZs60cgJS3jnJvERWhxSRtQ+PjRFCobm2HG4pbchJ8wBM65+GRSzwykKeueJmSPQl2VtQMW/zOMz/Co+YatL29YJ7Lobb3oo2GgkVDHlXp8tpr0FzmeidHJb6V41s5aWq+YhXcd+HPiPeIkJe5fezBU9id3Npg7cX9tcWwx45yDeThfvjS3tertvT4ICcwCSpgtjRoBf1BRJDaYwmFC4CfUbOEwgPOuTvM7AfAUufcY2aWBcwFTgVKgMucc+syx34L+E8gBfyXc27hgZ5PIS84j63YzNf/8Dq/vPI0Ljj5yKDL6VaqU2mm3P8qyzeUUJz1HSrtLU3m0YE1dSLquV70TF1Az9QEQvQm7X3Ajy66gItPPYoe0Yaf4Hen2TmbfKN2IbL8j9IjPY4c/wxCri8hzxgzLJ9PnzSA804cwA8X3dKpP43tjg73JLhNr7VyNcPN4rHebLhxY+3kDMnMpBwn3VMAeOAitdcH7Z3QonYiERKYl2b7N7YQy0xo4XkWaG9D0EGts/aQt7TuIAJmZ1x8vjOvSxg0LYYurSbtO86b/QKxcIgnvv5xzNSb1x6cc8x4dAV/fn0TP79sJB8dUtUp3zC7kwNPlBAm7p/D0OhV7C7Po1d2hMtOH8KXxg2tXWevM7/xHI66J8GeyyUrPZIe/hh6pMcQIhefKqq813FZb7B6xp/pnbNvev7O/mlsd3U4J8FBTpceVFALetjj3hr0vtN+gui9hO63Tt5enfX1rZAnrepPyzYyY/4KfvOl0Zx34oCgy+kWfvHsGn769GpuOvc4bjx3RNDlyEE42JOyFdevoGR3Pg++/B5PrdyCmXH+R4/gMydHuPyxM6hIdc7Qcqg9kGnfkfP9E8nyT6NH+jSibgRGiDS7qQy9SkVoSU3As+omr6vrbqG4O+tQSxHsp6sOe5TuI6iAGVTPaWemkCetKpX2OWfWC/TKjvC3r4xXb14b+9sbm7jxkTf4wqlHMeuSU/T77kQO9aTsg5IK5i7ZwCOvvs/uqhQJbw27Q39jT+glsFSDx++oww8P9uf+sLSSF1cX8+Lq7by0djullUkcPglbQ2VoGVXecqq91Q1mj23uurru+CbfXQUxFC7ooKbXt4jUpZAnre6RV9/n1j+/yUPXnM7Zx/cPupwua9mGEi7/zSuMHNyLudeOIRZuetY16ZgO56RsT3WKYTMvIVr9aSJuMCl2UB5emJlU5H2wfX+3DxR4Dvd6vsM9tvlFySNk+SfRk7GcGP8i67fXTFPdv2eMM4/rx9o9j7Hw/Z+RcCVNPn5HDbbSuQQ1nK2lzy0iUpdCnrS6RMrnk//3PAPiMf50w8fUu9QGNuzYw8W/XERejwh/vuFj9a4/kq7Pu93DOcjyTyWeupAefs3f8DTlJLxVVHvvUOW9TSq0ltT3GgaqoK6NqDeczYWIuEFk+afQI30aMf+jeGThSNKvVylfHvdxzjq+H8cP6ImZ6bo66TQU1ESkI1DIkzYxd/F6vvO3lfzuurGMP7Zv0OV0KaUVSS7+Vc3U33+ZPp6j++YEXZK0s/0neAj5/cnyP0rM/wgx/0SibihQs25WwVH5jBram1FDezN6WG8q0pvbdZazZNpnw449rNlazlULbsOlBhDxhxBxR2UW04WkbaTSW05laDnV3pv0zIo12gOp6+pEREQOjkKetImqZJozf/wcR/fN4Y/Xjwu6nC4jkfK56oFXWbqhhHnXjmXsMX2CLkkCcKAJHjyXQ7b7KGP7X06/yFje+GAXlcmayUiyYpWUpJZS5a2k2nuHhL3X4Lq2w1qvyIUIuyPpwTGcccTFjMg7kzVby3hv+x6S6Zr3EodPyraStA9IehtI2gdUeytJeVvr19/MouTqJRERETkwhTxpM/e/9B7/84+3efT6cYw5Oj/ocjo95xzfWFDI/GUbmTXpFL44alDQJUlADrVHLZn2WfVhGUs3lPD/nryfUHIEYWp62H0qSdlWII3Dr/lqPiEzzhz6cUKe4XlG2DOeXPsEKT+BszTg40hjLkrEDSbiBtb2zDl8hubnctyAXI7t35PjBuQyon9Pxv/2WMqS2w/482lRchERkZZpLuSF27sY6VquGDOEXz2/lrv+tYa5144NupxOpbGJLcb1/h7vrj+Br59zrAJeNzc8fzgLJi044NDFvT1bkZDHyYPyOHlQHtc+80Nc2BHy+2WGd36EsOsLeICH4QEh0s4j7TuqU2nSDnzfQTqfMB44DyOUOSZN0jZRGXqVpL1P0nuftLeJDd+obFD35FMmHdQU81MKprTq70tERET2UciTFukRDXHdJ47hzoWreP39nZw6pHfQJXUKjV13lK4s4N3SE6gKv8QJwww4PtgiJXATRkygcFrhIQ9dzI3mUpYoI+0VU+EVU8GLjbaLx+I8Ou22+ttmXnDQiz03Zsa4GTy84uHmQ14owk1n3HTA5xAREZHD4wVdgHR+U84YSrxHiKmP/IX4zDje7R7xmXGmPz6dopKioMvrcIpKipg4fyIVyYraE+Gofzx9EjdT5a1ka3gWkxZM0u9OgJoevbsvuJvSW0tJfzdN6a2l3H3B3c1emza5YDIRL9Ls4zbVm9aSY/fWu2DSArIj2Q0eJ+JFyI5k1+uBFBERkdankCct9uL7T/OhP4/ikgFUV/XH4ShLlDFn+RwK7i1g4ZqFQZfYocxaPItkel8vR8jvT//qb5O2Eoqjd4AlSaaTzF4yO8AqpTObMW4GkdABgloTvWktOXavvT2QU0dNJR6L45lHPBZn6qipFE4r1OyYIiIibUwTr0iL7J0cojIBR1U9QLVXSHHsh/XaaF2r+upOjW8uhyOqf0zI9WFL7BZS3sZ97TQxhbRAUOvkiYiISPtobuIV9eRJi+ztlXJWQVn4MbL9jxHxh9Zro16p+soT5TXfuDD9E98m4gZSHL2jXsCr107kMLSkN009cSIiIp2bevKkRer2Snkul6OqHqDSW8722J3126lXqlZ8Zpyy6nL6Jm8hJ30WxZGfUBF+oWE7/c5EREREpAnqyZM2U7e3ybdydof/Qo7/cbLTH2uyXXc3uWAy+elryEmfxc7wg40GPE0xLyIiIiKHq0Uhz8zyzexpM1uT+dpg/nwzG2lmi81spZkVmtmldfY9ZGbvmdkbmdvIltQj7S83mlvvfml4PtW2mvzE1wi5Pk22686Gx/6TnskvUBb6B7vDf2q0jaaYFxEREZHD1dKevFuBZ51zI4BnM/f3VwF8yTl3EnA+8DMz61Vn/38750Zmbm+0sB5pZw2mW7cU26P/hxGhT+JmcKZeqTqefGsLdz+7lYIhUJU9t8EshppiXkRERERaqqUh7yLg4cz3DwOf37+Bc261c25N5vvNwDagXwufVzqIxqZbT3mb2Rn5NT38U4inPq9eqYxlG3Zy4yOvc8qgXvzxuvMpvGGFJrYQERERkVbXoolXzGyXc65Xnfs7nXMNhmzW2T+GmjB4knPON7OHgHFANZmeQOdcdRPHTgWmAgwZMmTUhg0bDrtuaV2NTrfuoH/yW2SlT+dbF0WYOu6CYIsM2Lricr74q0Xk9Yjwpxs+Rp/cWNAliYiIiEgn1qKJV8zsGTN7q5HbRYdYxJHAXOAa55yf2XwbcAJwOpAPfLOp451z9znnRjvnRvfrp47AjqTR6daz4lw0Zg99c7P446JsKhPpoMsMzPbyaq5+8DXMjIeuGaOAJyIiIiJtqqU9ee8CZzvnPsyEuOedc8c30i4OPA/MdM7Nb+KxzgZucc599kDPqyUUOo+X127nyjmvcOXYIdxx8clBl9PuKhIpLr9vCe9uLeMPXz6DU4c02dEtIiIiInLQ2nIJhceAqzLfXwX8rZEnjwJ/AX67f8DLBEPMzKi5nu+tFtYjHcz4Y/sy9cxj+N0r7/P021uDLqddpdI+X/v967y5qZS7Lj9NAU9ERERE2kVLQ96dwHlmtgY4L3MfMxttZnMybS4BzgSubmSphN+Z2ZvAm0Bf4H9bWI90QDM+fRwnHhnnm38qZNvuqqDLaRfOOb772EqeXbWN2y/6KOedOCDokkRERESkm2jRcM2gaLhm57N2WxmfveslTh+Wz8PXjMHzLOiS2tQ9z63lJ0+9yw1nD+eb558QdDkiIiIi0sW05XBNkYNybP+efPs/TuTfa7bz0KL1QZfTKopKipj++HTiM+N4t3vEZ8aZ/vh07v33cn7y1LtcNHIg//3pBpeoioiIiIi0qXDQBUj3ceXYITz/7jbuXLiKccP78JEj40GXdNgaWzaiLFHGb197lT5Vn+H4I8P8eGJBl++xFBEREZGORz150m7MjB99sYB4jwg3PvI6VcnOuaxCUUkRE+dPpCJZsW9dQCDiDyO/6pskbSOLyq9m4+71wRUpIiIiIt2WQp60qz65MWZdcgqrt5Zz58JVQZdzWGYtnkUynay3LeT3pX/19/GpYFv0+yT8UmYvmR1QhSIiIiLSnSnkSbs767h+/Of4o3lo0XqeW7Ut6HIO2bzCefV68DzXk/6J7+PRg22x75P2tpP0k8wtnBtglSIiIiLSXSnkSSC+cf7xnHBET/57wQq2l1cHXc4hKU+U134f8YdyRPVPibijKI7+kKS3vtF2IiIiIiLtRSFPApEVCfHzy05ld1WKbywopDMt5ZEbzQUgOz2eI6r/D3NRtkRvoyq0otF2IiIiIiLtSSFPAnP8ET35fxNO4F+rtvHZOT9usBRBUUlR0CU26sqTJ5Ofupp+idtIeOvZknUTiVD96wsjXoQpBVMCqlBEREREujOFPAlU/37vkAi9zltFI6iq6o3DUZYoY87yORTcW8DCNQuDLrGe0sokJZsvoWdyImWhp9gavY20lTRoFwlFuOmMmwKoUERERES6O4U8CUxRSRGTFkxia2QWPpX0Tfw3uJqlG5N+kopkBRPnT+wwPXprt5Xx+XteZtn6Ci7/mFGVfT+RUP118CJehOxINgsmLWB4/vCAKhURERGR7kwhTwKzdykC33axI/ozou5oeqeuqtcmmU52iKUI/rlyC5+/ZxFlVUl+/+UzmHnhBRTeUMjUUVOJx+J45hGPxZk6aiqF0wqZMGJC0CWLiIiISDdlnWnCi71Gjx7tli5dGnQZ0kLxmXHKEmW193snphFPf5ay0FPsivwW30pr2sXilN5aGkiNvu/4xb/W8LNn1lAwKI97J49iYK8egdQiIiIiIrKXmS1zzo1ubF+4vYsR2Wv/JQZ2RubgrJp46iJy0uPZFfkdZaHHA1uKoKwqyc2PruDpt7fyxdMGccfFHyUrEgqkFhERERGRg6WQJ4HJjebW68nDUuyKPEh56Gnyk1PJT15PbuozVGe33aLiRSVFzFo8i3mF8yhPlJMbzWVywWQuOf5r/O9j23hv+x6+97kTufpjwzCzAz+giIiIiEjAdE2eBGZywWQiXqTB9pS3kW3R77ItegcePei55zt85ffL2byrslWff+GahRTcW8Cc5XMoS5TVzuw599XlfGnOm3xYWs7ca8dwzfijFfBEREREpNNoUcgzs3wze9rM1mS+9m6iXdrM3sjcHquz/WgzeyVz/B/NLNqSeqRzmTFuBpFQw5AHgEFlaDE7c2/mqvF9eebtrXxq1gvc/a81VCXTLX7uopIiJs6fSEWygqSfrNnoIJ6cRH71t0jZFt6PfIUBvYO5FlBERERE5HC1tCfvVuBZ59wI4NnM/cZUOudGZm4X1tn+I2B25vidwLUtrEc6keH5w1kwaQHZkewGPXq1SxFc8gdu/9xYnrn5LM46rh//98/VfHr2izz7ztbatkUlRUx/fPohLaa+d2bPvcxl0zdxK71TV1ERepEtsW9Q7TZ3iJk9RUREREQORYtm1zSzd4GznXMfmtmRwPPOueMbaVfunMvdb5sBxcARzrmUmY0Dvu+c+8yBnleza3YtRSVFzF4ym7mFc2uvi5tSMIWbzripwVpzL63Zzvf/vpK128r55PH9OPvk7Uz/5ySS6eS+HjlqQmIkFGHBpAUNljOoSKQY9KMzSCUGEvWPJeofS8QNAmBX+CF2h/8CmdGZQc7sKSIiIiLSlOZm12xpyNvlnOtV5/5O51yDIZtmlgLeAFLAnc65v5pZX2CJc+7YTJvBwELn3EcP9LwKed1bMu3z8KL1/PTpd9mTqGZ3+K+Uhv+Is6oGbbPDvfn9516gpCyXNzeV8ubGUoqKy/EzL/s0O6n21pLw1lIZeo2Et7re8Z55pL/b8uGhIiIiIiKtqUVLKJjZM8ARjez61iHUMMQ5t9nMjgH+ZWZvArsbaddk4jSzqcBUgCFDhhzCU0tXEwl5XPeJY1i8/S7+vswjLzWJnNQ57Io8SMq2EnUjMj10w4m4Qdz4+/cB6NczxslH5THh5CO5Y/H1lPpvkmZHba9dY3KjuU3vFBERERHpgA4Y8pxz5za1z8y2mtmRdYZrbmviMTZnvq4zs+eBU4E/Ab3MLOycSwGDgM3N1HEfcB/U9OQdqG7p+uavup+ySBlR7wnyk9fTN3lL7b4UJSS8tVSEXiYc28zKGxcyIJ5Vu39t4iPMWf4yab/px494EaYUTGnLH0FEREREpNW1dJ28x4CrgDszX/+2f4PMjJsVzrnqzBDN8cCPnXPOzJ4DJgKPNHW8SFP2LpKeCK1iizeDHv5YIE3CW0vaSmrbec6rF/CgZmbPh1c8XO86vv1FQhFuOuOmNqldRERERKSttHR2zTuB88xsDXBe5j5mNtrM5mTafARYamYrgOeouSbv7cy+bwI3m9laoA9wfwvrkW6k3lBK86kMLaYy9Gq9gNegXcZBzew5aUGDiV9ERERERDq6FvXkOed2AJ9qZPtS4LrM94uAk5s4fh0wpiU1SPc1uWAyc5bPab43rpkhlxNGTKBwWuFBz+wpIiIiItIZtGh2zaBodk2BmqUXCu4toCJZ0WSb7Eg2hdMKFdhEREREpEtpbnbNlg7XFAmMhlyKiIiIiDSkkCed2t4hl1NHTSUei+OZRzwWZ+qoqRROK2ywELqIiIiISFen4ZoiIiIiIiKdjIZrioiIiIiIdBMKeSIiIiIiIl2IQp6IiIiIiEgXopAnIiIiIiLShSjkiYiIiIiIdCGdcnZNMysGNgRdx0HqC2wPugjp0vQak7am15i0B73OpK3pNSZtrb1fY0Odc/0a29EpQ15nYmZLm5raVKQ16DUmbU2vMWkPep1JW9NrTNpaR3qNabimiIiIiIhIF6KQJyIiIiIi0oUo5LW9+4IuQLo8vcakrek1Ju1BrzNpa3qNSVvrMK8xXZMnIiIiIiLShagnT0REREREpAtRyBMREREREelCFPLaiJmdb2bvmtlaM7s16Hqk6zGzB8xsm5m9FXQt0jWZ2WAze87M3jGzlWZ2Y9A1SddiZllm9qqZrci8xm4PuibpmswsZGavm9k/gq5FuiYzW29mb5rZG2a2NPB6dE1e6zOzELAaOA/YCLwGXO6cezvQwqRLMbMzgXLgt865jwZdj3Q9ZnYkcKRzbrmZ9QSWAZ/X3zJpLWZmQI5zrtzMIsBLwI3OuSUBlyZdjJndDIwG4s65zwZdj3Q9ZrYeGO2ca8/F0Jv0/9u71xhHr/u+478/Off7/bJz2V3dLdmyFU/lpAaKoHAC2zGs3lI4QIKkcCAUiNAEfZE6yIumeeX2RZoACdqoidGkCaIYcdyojRHHqWMEQRNFK1eWLMmSVqvdndmZ2bnfrxyevviTGe4s+XB2ZzjP8OH3AzzikDzknNVySf6ec87/MJJXGU9LuhpCuBZC2JP0gqRnYu4TEiaE8FeSluLuB5IrhDATQvh27ud1SW9JGom3V0iS4DZyV+tzB2efcarMbFTSj0j6rbj7ApwVQl5ljEiaLLg+Jb4YAahiZnZJ0lOSXoq3J0ia3DS6VyXNSfpGCIHXGE7br0r6eUnZuDuCRAuS/tzMXjGzZ+PuDCGvMqzIbZyZBFCVzKxN0lck/VwIYS3u/iBZQggHIYSPSBqV9LSZMf0cp8bMPiNpLoTwStx9QeJ9PITwfZI+JelncstqYkPIq4wpSWMF10clTcfUFwC4b7l1Ul+R9PshhD+Ouz9IrhDCiqRvSfpkzF1Bsnxc0mdz66VekPSPzez34u0SkiiEMJ27nJP0VfnyrdgQ8irjZUkPm9llM2uQ9DlJL8bcJwC4J7miGL8t6a0Qwq/E3R8kj5n1m1lX7udmSZ+Q9L14e4UkCSH8QghhNIRwSf597JshhB+PuVtIGDNrzRUok5m1SvphSbFWPyfkVUAI6+q9BwAAIABJREFUISPpOUlflxcq+HII4Y14e4WkMbM/kPQ3kh41sykz+3zcfULifFzST8jPfL+aOz4dd6eQKMOS/tLMXpOfIP1GCIES9wCqzaCkvzaz70j6O0l/GkL4szg7xBYKAAAAAJAgjOQBAAAAQIIQ8gAAAAAgQQh5AAAAAJAghDwAAAAASBBCHgAAAAAkCCEPAAAAABKEkAcAAAAACULIAwAAAIAEIeQBAAAAQIIQ8gAAAAAgQQh5AAAAAJAghDwAAAAASBBCHgAAAAAkCCEPAAAAABKEkAcAAAAACULIAwAAAIAEIeQBAAAAQIIQ8gAAAAAgQeri7sD96OvrC5cuXYq7GwAAAAAQi1deeWUhhNBf7L6qDHmXLl3SlStX4u4GAAAAAMTCzG6Uuo/pmgAAAACQIIQ8AAAAAEgQQh4AAAAAJEhF1+SZ2ZckfUbSXAjhg0XuN0m/JunTkrYk/VQI4duV7FPFhCB95x2pLi3Vp6W6Oqk+d9zxc9ovU+RrAAAAAKev0oVX/rukX5f0uyXu/5Skh3PHxyT9l9xl9clmpdX147dPp4oEwVwA7OmUOtoq11cAAAAAiVXRkBdC+CszuxTR5BlJvxtCCJL+1sy6zGw4hDBTyX5VxH7m3tofZKWDPWl37+776uqiQ97krLSwcvfoYKmRQ0YNAQAAgJoR9xYKI5ImC65P5W67K+SZ2bOSnpWk8fHxM+ncPbnXkBelvsxfy9a2tLZx/OdLp4qEvzqpsV4aHz5ZXwEAAACcK3GHPCtyWyjWMITwvKTnJWliYqJom1idZsirK/PXsn9wb8+XHzXUkVHDpsbyIS+bZSQQAAAAqCJxh7wpSWMF10clTcfUl5Npb5WefETKZDyE7WdyP2eO/HzgP0epT0fff1qBstzvyWal//uq1Nzkf76O3NHcJFmxfA4AAAAgbnGHvBclPWdmL8gLrqxW5Xo8yadAdnccr20IUqZUEDzwEbYopxXyyo0Ybm77KODGlh8z8357Ou1hrzD41defTp8AAAAAnEilt1D4A0k/KKnPzKYk/XtJ9ZIUQvivkr4m3z7hqnwLhX9Vyf6cG2aHa+PuxxMPSnv7d44alho5zERM7Sz3+9c2i99+cCAtr/mR19R4Z/Bra2GaJwAAABCDSlfX/LEy9wdJP1PJPiRSa7Mfx1E4ang0CLY0RT92vUTIK2Zn14+5Jb9u5kEvP9LX2+UjgAAAAAAqKu7pmqi0k4waFtve4bhC8JC4vindkvQDHybkAQAAAGeAkIfSPvyoB731TZ+6uZYLbdnsvT1PU4PUELFmLwRpZsGnerY1U9QFAAAAOAFCHqI1NvjR1+3XQ/CCLOsFoW9zO/o5ojZ2l6StHendG/5zKiW1txQUdWnz3w8AAADgWAh5uDf5tXZtLdJwv9+WOTicmrm26Ru1F1YAbW+Nfs7CAi/ZrLS64UdeQ31BUZc2D4FM/QQAAACKIuTh5OrSvn1EfguJEHyaZ36KZ7mtJdY3ou/f25cWVvzIa23OBb82v2xh7z4AAABAIuShEsx8S4WmRmmgp3z7Uls1RNnc9mNmwa/Xpb2C56UL5fcZBAAAABKMjcwQrxCk/m6pp8OD2v3KHEi3F9mbDwAAADWPkTzEy0y6eMF/DkHa3s2t7dvwy41tv/04utqjq3gCAAAANYCQh/PDzNfWtTRJg71+20FW2tjydXv5ap47JfbvKzc1dGtHunVb6u+ROttYwwcAAIBEIuThfEunPJB1FmzDsLefC3wbh8Vdslmpryv6ueYWpel5PxrqfZpof7dX7CTwAQAAICEIeag+DfUe6PKhLpv1Eb76Mhuuzy8fXt/bl27N+dFY76N7/d2+TQOBDwAAAFWMkIfql0pJne3RbTa3fbpmMbv70tRtP5oaDgNfWwuBDwAAAFWHkIfaUDiKF2VnT5qc9aO5MTels8f35SPwAQAAoAoQ8lAbxoa8oMvckrS8dryKndu70s1ZP5qbpIGCwAcAAACcU4Q81Ia6tFfsHOyVMhlpYcUD38r6MQPfjnRjxo8nHipf5AUAAACICSEPtaeuThrq82M/Iy0s+3TO5bXyj02lpO4y6/8AAACAGBHyUNvq66Thfj/29g8D38p68fa9nVI6Xfr5QpB296Smxsr0FwAAACiDkAfkNdRLFwb82Nv3sDe/JK1uHLbp745+jrUN6dW3fSuG/Bq+xobK9hsAAAAoQMgDimmol0YG/Njd88C3uCL1dEY/Ll/Fc33Tj/emfLP1gW6pr5vABwAAgIoj5AHlNDZIo4N+RDm64Xre2oYfVyelzjZpoMcDX0PE5u0AAADAfSLkAadldcOneZZrs7ohvXtT6mrPbbzeJdUT+AAAAHA6CHnAaclmfQ+9ze3jtV9Z9+PdGz4NdGRA6u5g03UAAACcCCEPOC09nX5sbnvBlvllaWvneI9dWvWjuVEaGfT9/OoiqngCAAAAJRDygNPW2iy1jkgXL+QCX65K5/Zu+cdu70pXb0oKHvYAAACAe0TIAyrFTGpr8ePSBWkjP8K3JO3slX5cOiUN9p1dPwEAAJAohDzgLJhJ7S1+XB6R1rcOp3TuHgl8Q31M1QQAAMB9I+QBZ81M6mj144FRaXFVunXbi7BIvhl7lM1taXbBC7U0NVa+vwAAAKgqhDwgTmZSX5cfm9se9Fqaoh8zPSdNz0tTt6XeLml0QOpspyonAAAAJBHygPOjtdmPKJmMNLt4eH1xxY/WZh/ZG+iR0kz1BAAAqGWEPKCazCz4fnxHbW5L79yQrk1Jw/0+5bOp4ez7BwAAgNilKv0LzOyTZva2mV01sy8Uuf+nzGzezF7NHT9d6T4BVSkEX4sXJXMgTc5KL70mvfGeT/8M4Wz6BwAAgHOhoiN5ZpaW9BuSfkjSlKSXzezFEMKbR5r+YQjhuUr2Bah6ZtJHHvXRvOk5aXc/uv3Csh9tLYdTOVMVP68DAACAmFV6uubTkq6GEK5Jkpm9IOkZSUdDHoDjqK+Xxoel0UFfizc1J61tRD9mY0t6+3rBVM5+qZGpnAAAAElV6dP6I5ImC65P5W476p+b2Wtm9kdmNlbsiczsWTO7YmZX5ufnK9FXoHqkUlJ/j/TUY9L3fUAa7C1fXXM/I92ckV563dfvAQAAIJEqHfKKfes8ukDof0m6FEJ4UtJfSPqdYk8UQng+hDARQpjo7+8/5W4CVay9VXrssvT9T0qXLkgN9dHtQ5DSTNsEAABIqkp/05uSVDgyNyppurBBCGExhLCbu/rfJH20wn0CkqmhXrp4QfrYh6QPXPbwV8pImQ3XAQAAULUqHfJelvSwmV02swZJn5P0YmEDMxsuuPpZSW9VuE9AsqVS0kCvT+N86jEvuFI4lbO3S2pqjH6Ond3o+wEAAHBuVbTwSgghY2bPSfq6pLSkL4UQ3jCzX5Z0JYTwoqR/Y2aflZSRtCTppyrZJ6CmdLT58cCeNDMvTc9Lo2VG8fb3pZe/m6vKOSj1dVGVEwAAoIpYqMI9tCYmJsKVK1fi7gZQfbJZH9WLKtJyc0Z6/9bh9YZ6r8g53F9+vR8AAADOhJm9EkKYKHZfpbdQAHCelBuRy2Z9D75Ce/vS9WnpxoxP/RwZlNpbKtdHAAAAnAghD8ChxZXSm6yHIN1e9KOjzad99nWX37oBAAAAZ4qQB+BQKi21NUsb29Ht1jakNzd8U/X8VM563k4AAADOA76VATjU2yn1dEirG9KtOWlhObr97p6v37s5I10YkEYHWbcHAAAQM0IegDuZSV3tfuzsekXOmXkpc1D6MQdZaXLWg+FwnzQ25KN8AAAAOHPURQdQWlOj9MCo9P1PSo9clFqbo9tnsx70XnrdR/kAAABw5hjJA1BeOu3r7ob6pJV1D3KLK6Xbd3cwkgcAABATQh6A4zPzANfdIW3vSrdu+1TO7JH9NseH4+kfAAAAmK4J4D41N0oPjUsfe9ILruT34Otqlzrboh8btb4PAAAAJ8JIHoCTaaiXHhzz0bup2z7KFyUE6dtvSU0N0sVhqbP9bPoJAABQIwh5AE5HfZ10eaR8u/llaXvHj+U1H/W7eMFHANlYHQAA4MQIeQDOTgi+p16h1Q3ptXek9lYf2evpJOwBAACcACEPwNlZXJE2t4vft74pffeqb9NwcVjq6ybsAQAA3AdCHoCzY+Z77+3slm6zuS29eU1qafJ1fgM9hD0AAIB7QMgDcHZ6u3w65tyST9vc2inddmtH+t770vVpaXxIGuw9rOAJAACAkgh5AM6WmQe2gR5pYUW6OS1tlJjCKfmo3zs3pBsz0tiQb8ieJuwBAACUQsgDEA8zqb9b6uuSllY9xK1vlm6/uyddvSndmPawNzLAyB4AAEARhDwA8TI7nMa5su5hb3W9dPv9jHR70TdgBwAAwF0IeQDOBzPfSL27w0PejRnfR6+Y8WGKsQAAAJRAyANw/nS2S0+2+/TNGzO+9UJec6NP8wQAAEBRLGgBcH61t0offEj66ONSf4/fdpxRvKnb0ds0AAAAJBgjeQDOv7YW6fEHpK0LUlNDdNvVDem9SenalFfxHB+SmpvOpp8AAADnACEPQPVoOUZYuznjlyFIswt+DPT4CGBrc2X7BwAAcA4Q8gAkx/qmb8dw1NySH33d0sVhHxkEAABIKEIegOSYuh19/8KyHz2dHvY62s6mXwAAoLqEIK1teDG4KkTIA5AcD4179c1bc1LmoHS7pVU/utqlixf8EgAAIATfj/fmjLS9K/2DDx5vucg5Q8gDkBz1ddKlEWl0SJqe85G9/Uzp9ivr0srbUmfbYdhj/z0AAGpPNutLO27M3Fmh++aM9Njl+Pp1nwh5AJKnLu2FVkYGpJkFaXJW2tsv3X51Q3rtHZ++eXHYN2Qn7AEAkHzZ7OHI3c7e3fffXvTvFFU2mkfIA5Bc6bQ0Oihd6Pcqmzdnpd0ib+B5axvS6+9KvV2+Px8AAEimcuGuUBWO5hHyACRfKiVdGJCG+nwqRn6efSkdrWfXNwAAcLbmlnw/3agTv3ndHdJwX+X7dMoIeQBqRyrlQW+wV5rPzbvf2rmzTV3aAyEAAEimg4PyAa+7w9frd1ZnJe5UpX+BmX3SzN42s6tm9oUi9zea2R/m7n/JzC5Vuk8AapyZNNArTTwhfeCBOzdJHx30oAcAAJJpsFdqbCh+X0+H9NRj0pOPVG3Akyoc8swsLek3JH1K0uOSfszMHj/S7POSlkMID0n6z5L+YyX7BAB/z0wa6JE++rj0+IP+Zj5SZhRvZ1f69lvS/LKXWQYAANUllfJiKoV6Oj3cfeiRROyjW+npmk9LuhpCuCZJZvaCpGckvVnQ5hlJv5T7+Y8k/bqZWQh8ewJwRsyk/m4/ypmcldY3pTff8xHAi8NSXzfVOAEAOA8ODqSZeam7886ZOkcN9foa/bYW/yxvT9Z6/EqHvBFJkwXXpyR9rFSbEELGzFYl9UpaKGxkZs9KelaSxsfHK9VfAChtd8+3ZMjb3JbevOZllS9e8JBI2AMA4OwdHEjT834ydj8j9W/6LJ1SUilp4nGpLpklSir9pyr2befoCN1x2iiE8Lyk5yVpYmKCUT4AZ29ytvgUza0d6a1r0o0mn/4x0EPYAwDgLBwNd3nzy34yNmo0L6EBT6p84ZUpSWMF10clTZdqY2Z1kjolLVW4XwBwb0KQNraj22ztSN97X3r5Dd97h1nnAABURubAp1u+9Lpvh1AY8PJuzJx9v86JSoe8lyU9bGaXzaxB0uckvXikzYuSfjL387+Q9E3W4wE4d8ykDz8ifejh8vvobefD3nd9E3be0gAAOB2ZAw9vL70mvX+reLjLW1g+3l54CVTRMcrcGrvnJH1dUlrSl0IIb5jZL0u6EkJ4UdJvS/ofZnZVPoL3uUr2CQDum5lX3+rukFbWpevT0tpG6fbbu9Lb1/3D6GJuGmeq4jvXAACQPJmMdGtOmrrtQa+cgR5fQlFqq4SEs2ocNJuYmAhXrlyJuxsAal0IHvZuTEurEWEvr6nBP3AGewl7AAAcRyYjTc1Jt+4h3F0clloi1uIlhJm9EkKYKHZfclcbAkClmfmoXn5k78a0X5aysye9c8NH+B4YPbt+AgBQbfYzHuym5ry4SjmDvX4itaWp8n2rAoQ8ADgNXe1S16PSam4aZ6mwZyZd6D/bvgEAUE2W16Q33jt+uLs4LDUT7goR8gDgNHW2Sx9+1Kdv3pj2D6pCg71SU2M8fQMAoBq0tajIjmqHzHIjd0OEuxIIeQBQCZ1t0pOPeGGWG9PSUi7sjQ9HP+4g65dp1uwBAGpUfZ10YcD3vitkJg31SmPDUjMnTKMQ8gCgkjrapA89Iq1tSuub5T+Ubt326mFjQ9Jwn5ROn00/AQA4T8YG/fMwm82Fuz4fuWM2zLEQ8gDgLHS0lt9f7+DAS0PvZ6T3Jn2T17EhX8NH2AMAJMHevo/QpdPSpQul29XXS6ODXl1zjHB3rwh5AHBeTM/fuanrfka6NuUfhoQ9AEA129uXbs5KM/M+OpdK+edaQ33px1weObv+JQwhDwDOg4ODu9ce5BWGvdFBX6dQR9gDAFSB3T3//JqZl7IFxVSyWZ+9wpZCFUHIA4Dz4CDr2zDML5dus5+R3r+VC3tD0ghhDwBwTm3vSJO3pdkFKZSolHlrztfe1UeM5uG+EPIA4DxoqJcef1Da3Pa1eHNLpdtmDqTrt6SpWWlk0MNePW/nAIBzYH3TT0ZGnbQstLYp9XZVtk81iG8FAHCetDZLH3jAN3a9cYywd2PaP0yH+3wqJwvTAQBnLQTfF3ZyVlpZL98+vx5vbCh6TR7uGyEPAM6jlnzYu+Aje7cXS7fNZn3Ky605aaDHq5WxOSwAoNJC8BG7yVlpY6t8+1TKZ5+MDhLuKoyQBwDnWUuT9NhlH9m7OSPNRoQ9yUf+xobOpm8AgNp0kJVuL/iau53d8u3T6dzIHevvzgohDwCqQXOT9OhlabxgZK/YQvaeTqmt5ez7BwCoHfsZ6epk6YIqeQ31PnJ3oV+qI3acJf5vA0A1aW6UHr3k0zhv3faS1AfZw/sZxQMAVFpTgy8PKLWUoLnRP48Ge32KJs4cIQ8AqlFTg/TgmDQ+7EFv6rYXXelsi37c7UVpe1ca6WfKDADg/o0N3R3y2lul8SGvlmkWT78giZAHANWtvs6D3uigtLsf/aEagnR92tdPTM5KQ7mKnM1U5AQAFFhd98+UgZ7SbVqbpd5OaXFV6umQxob9RCPh7lwg5AFAEqRS5cPawvLhAvlsVpqe86O/x8/ItrOWDwBqVgge2CZnfO+6+joPcel06cdcHpUujbAW/Bwi5AFALQjBR++KmV/yo7vDw15XO2diAaBWZLNemXlyVtraObx9P+MVnUcGSj+2tbny/cN9IeQBQC3Y3pU2tqPbLK/50dbiYa+/m7AHAEmVOThc0723X7zN1KxXxuSzoOoQ8gCgFrQ0SU9/qHhFzqM2tqS3rknvN0ijQ9JQb/R0HQBA9djb98+C6XkPelF29nyqf3/E2jycS4Q8AKgV+YqcF4f9w33qtk/HKWVnT7p604u1jPT7lB0qcgJAddre8c3LZxfK728n+VTMsVylTFQdQh4A1Jq6goqctxd9Hcb2bun2mYx0Y8a/HAz1+od+ExU5AaAqrG/6+/z88vHad7b7NgjdHUzTrGKEPACoVamUNNzvWyksrkg3Z/3LQCnZrI8A9nYR8gDgPAvB11hPzkor68d7TF+Xn8TrKLPfKqoCIQ8Aap2Z1Nft4W11w78ULK0Wb9va7Gd3AQDn1+a29Pq75duZSYO5GRotTZXvF84MIQ8A4Mx8+4Sudv+CMDnrZbUL126MDTF9BwDOu7YWfy8vNYqXTnvVzJEBqbHhbPuGM0HIAwDcrbVZeuyydHnEC7TMzPtavv7u6Mctr0lb2z4FlIqcABCfsaG7Q15DvQe7C/3+no7E4m8XAFBaY0FFzq1dX8cX5ca0T/m8PuMVOS8M+JcKAMDp2dmT9vai1891d/iI3saW1NzooW+wt/z7OBKBkAcAKK+uTuoo85GxuuGHdHdFztEh/5IBALh/hVPpmxuliSdKT6E3kx4Y9b3w+rqYal9jCHkAgNMxNXv3bfmKnNPzPtVzbEhqbz37vgFANVtd93C3WFAUa2vHKyP3RUyjp1BWzapYyDOzHkl/KOmSpOuS/mUI4a4NOszsQNLruas3QwifrVSfAAAVsrsnLaxEt5lf9qOr3cMeezABQGkHBz5iN7NQenubyVmvjMx7KY6o5EjeFyT9nxDCF83sC7nr/65Iu+0Qwkcq2A8AQKU1Nvi0oWIVOY9aWfejtdkX/w/0UAAAACR/71zf9GA3vyQdZKPbr236NPmu9rPpH6pGJT9Vn5H0g7mff0fSt1Q85AEAkqBYRc6oLyib29K7N6X3Jn260XCf1NnOGWkAtWc/I91elGYX/L3xOOrqvFJma3Nl+4aqVMmQNxhCmJGkEMKMmQ2UaNdkZlckZSR9MYTwP4s1MrNnJT0rSePj45XoLwDgNBRW5Jyel27NSXv7pdtng4/+zS1JTY3Sg6PRa0wAIAlC8FkNsws+lT1qBkShxgZpbJCtahDpRCHPzP5C0lCRu37xHp5mPIQwbWYPSPqmmb0eQnjvaKMQwvOSnpekiYmJY/4rAADEpq5OGh+WRgf9DPXkbWl7J/oxO8fYpgEAqt3Sqs9k2Nk9/mPaWvz9tL+b90mUdaKQF0L4RKn7zOy2mQ3nRvGGJc2VeI7p3OU1M/uWpKck3RXyAABVKpWShvv9rPPiiq/bWytRRKCxgWpwAJKvof54AS+dkgZ6fTo7lYlxDyo5XfNFST8p6Yu5yz852sDMuiVthRB2zaxP0scl/acK9gkAEBczn4bZ1+2b884u+Ahf5uCwzVBf9Jq8bNandfZ1S3VMUwJQpdpapPYWaX2r+P0dbR7s+ruZkon7UsmQ90VJXzazz0u6KelHJcnMJiT96xDCT0v6gKTfNLOspJR8Td6bFewTAOA8aGuRHhr3jXoXVjzwLa/5xulRllalt6/7NKeBHg+FHa0UawFwfmSz/r7W0xFdOXioX1q/cXi9vk4a7PX3NYqp4IQsHHeR5zkyMTERrly5Enc3AACnaW/fpzBFef1dD3qFWpr8S9Fgb/nHA0ClbG771ge3F6VMRnr4om8TU0rmQPrb7xyO2vV2sdYO98TMXgkhTBS7j42JAADnQ7mAtrt3d8CTpK0d6dqU9P4tqafTvyz1dDK6B6DyDg6kuWVpdv7utcYz89Ehry4tfexJH8EDThmvKgBAdZhdjL4/BC/ssrjigXEwV6yguels+gegNoTga+lm532NcKn9QDe2vF17S+nnIuChQnhlAQCqQ2+nj+bNLfnZ8yh7+17Fc3JW6mzz6p59XRQwAHD/9jPS3KJPyTzuhuWz81L7xcr2CyiCkAcAqA5tLdIjF32z9IUVnwq1ulH+casbfqTTh8Va2luYzgmgvBCk1XUPdveyYXkqV014oKey/QNKIOQBAKpLOu1TMQd7fXP1fKGDvf3oxx0ceDCcmZc++riHRgAoZnfP31dmF6Tte9iwvLXZZw4M9DAVE7Hi1QcAqF7NTb4Nw+URL8oyuyAtrkafbW9tpjw5gNL296WXXj/+qF065aFuuN9PHjFLAOcAIQ8AUP3MvPx4b5eP6OXPwG/t3N223IbrAGpbfb3U1e57d0bpaPVgx4blOIcIeQCAZGmol8aGpNFBL2k+u+DFWrJZD3eDZTZcn81N/8wXa2HfKqD2DPcVD3l1dYeVe5kRgHOMkAcASCYzr6zZ2SY9OCbNL0m7++XXyczk9rtaWfd9rAZ7ffSPNXxA9dvc9hM5TY3SyEDpdr1d/l6xn/Hr3R3+PsCJH1QJQh4AIPnq0j4yV87m9p0bGmcOpFtzfrS1+Nn7gR4/mw+gOuzv+1rdmQVpLVeRt6nRNyovNXU7lfLZAAdZD3fNjWfXX+AU8CkFAEDe7ELp+za2pHdvSu9NHpZG72pnLQ5w3oQgrW96MaalVd+Q/KidXd8aoauj9POMD1euj0CFEfIAAMhbO8a+e9nga/zmlg6nhHZ3SD2dvkaHoi7A2dvbz4W6NWl51Ufhy5lZiA55QBUj5AEAkPeRxw43Pl5Y9kAXJQRfu7eyLr1/y9fw9HR66BvoIfABlRKCn5TJB7uNIqN15Syu+nTMNGvskDyEPAAA8sz8zH5Xh5TJ+GjdzMLxv0DuZ7wy5/KahzwApyubld563/+NHRxjtK6Y1mZfZzfYS8BDYhHyAAAopq5OujDgx8bW4dYKx5kG1t0RPYoXAqN8wP1IpaSt7XsPeM1NUk9uhL29lX9/SDxCHgAA5bS1SA+NSw+MSosrPs1rec3XARXTU2adz9ySdH3a23V3egGXOgq4ANrZ89G1qK1OejqlrZ3o50mlpO723PTpTqpjouYQ8gAAOK5USurv8SME33Jhec3XBa1u+G2Sj+RFWV7z6n7T836YSR2t/mW0p8NDJSMNqAXZrP/byVfC3NrxEypRe9j1dEpTt+++vaXJ7+vp9IJI7GeHGkbIAwDgfph5GGtrkcaGfPrYyoZPJauvL/24EPzL7NHbVjf8uJ4r4NLdcVi1syHi+YBqs7NbUAlzzYNeoaXV6JCXD3AmXz/bkzs50sRoHZBHyAMA4DSk01Jvpx9RNre9QEuU/czhNg2SF4rIBz5GKFBtslmvQJvf3qDcVMuVdX9Mqdd5KiU99ZiP3PFvASiKkAcAwFm6n1Lvm9t+TN32L7Vd7R76+roYvcD5tL3joW5p9TC0HVc+FPZEnDBpazl5H4EEI+QBAHCWhvqk3i5pZe1wutru3vEfn80erl8KwaeKAufB+qZXoF1albZ37/952loO17cCuC+EPAAAzlp93Z0FXLZ27izgctxRj3IFXoCztLEl3Zq798fVpQ+nI7MGFTgVhDwAAOJk5mvuWpul0cE7qw0FymPrAAAISUlEQVQur/k0zWIa6v0xUV57584v0I0Np99/1I5y+ztGTa88qr0lV0220yvLUk0WOFWEPAAAzpNU6rCypuRTOZcLpnZmckVbym24vrfv7SVpftkvW5oO9+VraZKaGihcgbtlDnxN3dZO7nLXL7NZaeKJ0q+7xgY/8VDsxES+YmxPp18yWgdUFCEPAIDzrLHB1/EN9flIyvqWVyjsaIt+3Mra3bdt5b643yrYY6yp0TeKbm6UmpsOLwmAyRaCr5u7I8zt+G17+6Uft73rJwhK6e44DHntrYfbG7QzWgecJUIeAADVIr9pekdr+bZLRUJeMTu7fiwXuS8fAB+7zMhLNdvPSAvLhyFua8f/zu+nuMnSanTIG+rzQNfd4aN3AGLBvz4AAJJobePkz5EPgHXp6HbTcz7iyAhgPKL2lJM85L1z43R+19Kqrx0tJb++FECsCHkAACTRxBNewGU5twH1RokCLuWUC22ZA+ndm0cewxTQUxeCtLNXfHplNiv9w4+Ufmxzo48Cn8a2BNu75QuwAIgdIQ8AgCS6o4DL6GEhlpX1w5Cwnyn/PM0RU/Mkf56jjjMFlABY3H7mSIgrCHNRIW0/U3p6pJn/fy/2d1VKU6PUkvu7aWk6vGyoJ+ABVYCQBwBALWiolwZ7/cjLHHh42MlVUNwpqKSYD4DNjdHPe6+bXkcFwCcelPq67+35qtnmtrS4cmeYyxzc33Nt7UidEcV4WpruDnn1dQUhrvEwzDU3EriBKkfIAwCgVtWlfb+y9pa778sHwHSZL/v3MjpUTrniLu/f8vCZMilIuf+4cOSHwutHB8D6e6TeiD3dZhc8fB35FXc/V5HnLhxtS6WkDz1c+vdsbvuf6TRslwl5/d1Sa9OdI3MURgESq2L/us3sRyX9kqQPSHo6hHClRLtPSvo1SWlJvxVC+GKl+gQAAI4pHwDLaWuRhnpz5fjLlN8vp9zU0Pmlex85LKa1OTrkbW5LCysn/z3lAnJUlcp7Ve7/e+EILoDEq+QpnO9K+meSfrNUAzNLS/oNST8kaUrSy2b2YgjhzQr2CwAAnJbeLj/yDg4O91+747JMAKyrix5ZymZPJ+CdpXJ1TspNhT2qLn33Grn8msZygRJATalYyAshvCVJFr0492lJV0MI13JtX5D0jCRCHgAA1Sid9tG9thJTQHdKBMDGhujn3d07vT6eRpXJ05BOS4310m5B+DU7DG5/H+Zy6+Xq6ih6AuBY4p6MPSJpsuD6lKSPFWtoZs9KelaSxsfHK98zAABwuuoiAmA2G/3YrSobxZNUfihP0uiQX+bDXFMjQQ7AiZ0o5JnZX0gaKnLXL4YQ/uQ4T1HktqLviCGE5yU9L0kTExPn5BQcAAA4FeWqOba3SI8/cGTU6+//c/f1O75h2J3X21ujf9dgr9TRWvq5yj2/5EHtOFktamNxALhPJwp5IYRPnPD3T0kaK7g+Kmn6hM8JAACSpqHeq2KehVKjjQBQJeJepfuypIfN7LKZNUj6nKQXY+4TAAAAAFStioU8M/unZjYl6Qck/amZfT13+wUz+5okhRAykp6T9HVJb0n6cgjhjUr1CQAAAACSrpLVNb8q6atFbp+W9OmC61+T9LVK9QMAAAAAaknc0zUBAAAAAKfIwnnZK+YemNm8pBtx96OIPkkLcXcCNYfXHeLCaw9x4HWHuPDaQxyiXncXQwj9xe6oypB3XpnZlRDCRNz9QG3hdYe48NpDHHjdIS689hCH+33dMV0TAAAAABKEkAcAAAAACULIO13Px90B1CRed4gLrz3Egdcd4sJrD3G4r9cda/IAAAAAIEEYyQMAAACABCHkAQAAAECCEPJOgZl90szeNrOrZvaFuPuD2mBmXzKzOTP7btx9Qe0wszEz+0sze8vM3jCzn427T6gNZtZkZn9nZt/Jvfb+Q9x9Qu0ws7SZ/T8z+99x9wW1w8yum9nrZvaqmV25p8eyJu9kzCwt6R1JPyRpStLLkn4shPBmrB1D4pnZP5K0Iel3QwgfjLs/qA1mNixpOITwbTNrl/SKpH/Cex4qzcxMUmsIYcPM6iX9taSfDSH8bcxdQw0ws38raUJSRwjhM3H3B7XBzK5LmgghlNoMvSRG8k7uaUlXQwjXQgh7kl6Q9EzMfUINCCH8laSluPuB2hJCmAkhfDv387qktySNxNsr1ILgNnJX63MHZ6pRcWY2KulHJP1W3H0BjouQd3IjkiYLrk+JLzwAaoCZXZL0lKSX4u0JakVuytyrkuYkfSOEwGsPZ+FXJf28pGzcHUHNCZL+3MxeMbNn7+WBhLyTsyK3cWYRQKKZWZukr0j6uRDCWtz9QW0IIRyEED4iaVTS02bGVHVUlJl9RtJcCOGVuPuCmvTxEML3SfqUpJ/JLdU5FkLeyU1JGiu4PippOqa+AEDF5dZDfUXS74cQ/jju/qD2hBBWJH1L0idj7gqS7+OSPptbG/WCpH9sZr8Xb5dQK0II07nLOUlflS8TOxZC3sm9LOlhM7tsZg2SPifpxZj7BAAVkSt+8duS3goh/Erc/UHtMLN+M+vK/dws6ROSvhdvr5B0IYRfCCGMhhAuyb/jfTOE8OMxdws1wMxacwXOZGatkn5Y0rErqhPyTiiEkJH0nKSvywsQfDmE8Ea8vUItMLM/kPQ3kh41sykz+3zcfUJN+Likn5CfzX41d3w67k6hJgxL+ksze01+gvUbIQTK2QNIqkFJf21m35H0d5L+NITwZ8d9MFsoAAAAAECCMJIHAAAAAAlCyAMAAACABCHkAQAAAECCEPIAAAAAIEEIeQAAAACQIIQ8AAAAAEgQQh4AAAAAJMj/BzfzpqJeeux1AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t1 = np.arange(0, 5, 0.1)\n", "t2 = np.arange(0, 5, 0.3)\n", "\n", "plt.figure(figsize = (15, 7)) # it is optional, since figure(1) will be created by default\n", "plt.subplot(2,1,1)\n", "plt.plot(t1, f(t1))\n", "plt.scatter(t1, f(t1), s = 100, c = 'g')\n", "\n", "\n", "plt.subplot(2,1,2)\n", "plt.plot(t2, np.cos(t2), linestyle = '--', linewidth = 5, c = 'pink')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'I am title')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1)\n", "plt.subplot(2,1,1)\n", "plt.plot([1, 3, 9, 27])\n", "plt.subplot(2,1,2)\n", "plt.plot(x, y)\n", "\n", "plt.figure(2, figsize = (10, 3))\n", "plt.plot([3, 17, 29, 45, 91])\n", "\n", "plt.figure(3)\n", "plt.subplot(2,3,1)\n", "plt.subplot(2,3,2)\n", "plt.subplot(2,3,3)\n", "plt.title('I am title')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "plt.close() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Working with text" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Height Distribution of $\\\\mu = 170, \\\\sigma = 3$')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mu, sigma = 170, 3\n", "x = 170 + sigma * np.random.randn(1000)\n", "\n", "plt.figure(figsize = (15, 7))\n", "h, bins, patches = plt.hist(x, 50, density=1, facecolor='purple', alpha=0.75) # bins is the location of bins, h is the height\n", "plt.grid(True)\n", "plt.xlabel('Height', fontsize = 15)\n", "plt.ylabel('Percentage', fontsize = 15)\n", "plt.text(162, 0.13, r'$\\mu = 170$', fontsize = 15)\n", "plt.text(162, 0.145, r'$\\sigma = 3$', fontsize = 15)\n", "plt.axis([155, 185, 0, 0.17])\n", "plt.title(r'Height Distribution of $\\mu = 170, \\sigma = 3$', fontsize = 18)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(h) # n is the height of the bar" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Rectangle(xy=(161.036, 0), width=0.38128, height=0.00262275, angle=0)\n", "Rectangle(xy=(161.418, 0), width=0.38128, height=0.00786824, angle=0)\n", "Rectangle(xy=(161.799, 0), width=0.38128, height=0.010491, angle=0)\n", "Rectangle(xy=(162.18, 0), width=0.38128, height=0.00524549, angle=0)\n", "Rectangle(xy=(162.562, 0), width=0.38128, height=0.00786824, angle=0)\n", "Rectangle(xy=(162.943, 0), width=0.38128, height=0.010491, angle=0)\n", "Rectangle(xy=(163.324, 0), width=0.38128, height=0.00786824, angle=0)\n", "Rectangle(xy=(163.705, 0), width=0.38128, height=0.0262275, angle=0)\n", "Rectangle(xy=(164.087, 0), width=0.38128, height=0.0183592, angle=0)\n", "Rectangle(xy=(164.468, 0), width=0.38128, height=0.020982, angle=0)\n", "Rectangle(xy=(164.849, 0), width=0.38128, height=0.0340957, angle=0)\n", "Rectangle(xy=(165.23, 0), width=0.38128, height=0.0340957, angle=0)\n", "Rectangle(xy=(165.612, 0), width=0.38128, height=0.0445867, angle=0)\n", "Rectangle(xy=(165.993, 0), width=0.38128, height=0.0603232, angle=0)\n", "Rectangle(xy=(166.374, 0), width=0.38128, height=0.0524549, angle=0)\n", "Rectangle(xy=(166.756, 0), width=0.38128, height=0.0839279, angle=0)\n", "Rectangle(xy=(167.137, 0), width=0.38128, height=0.0944189, angle=0)\n", "Rectangle(xy=(167.518, 0), width=0.38128, height=0.0865506, angle=0)\n", "Rectangle(xy=(167.899, 0), width=0.38128, height=0.0970416, angle=0)\n", "Rectangle(xy=(168.281, 0), width=0.38128, height=0.110155, angle=0)\n", "Rectangle(xy=(168.662, 0), width=0.38128, height=0.107533, angle=0)\n", "Rectangle(xy=(169.043, 0), width=0.38128, height=0.144251, angle=0)\n", "Rectangle(xy=(169.425, 0), width=0.38128, height=0.139006, angle=0)\n", "Rectangle(xy=(169.806, 0), width=0.38128, height=0.128515, angle=0)\n", "Rectangle(xy=(170.187, 0), width=0.38128, height=0.10491, angle=0)\n", "Rectangle(xy=(170.568, 0), width=0.38128, height=0.13376, angle=0)\n", "Rectangle(xy=(170.95, 0), width=0.38128, height=0.118024, angle=0)\n", "Rectangle(xy=(171.331, 0), width=0.38128, height=0.120646, angle=0)\n", "Rectangle(xy=(171.712, 0), width=0.38128, height=0.118024, angle=0)\n", "Rectangle(xy=(172.093, 0), width=0.38128, height=0.125892, angle=0)\n", "Rectangle(xy=(172.475, 0), width=0.38128, height=0.0734369, angle=0)\n", "Rectangle(xy=(172.856, 0), width=0.38128, height=0.0760596, angle=0)\n", "Rectangle(xy=(173.237, 0), width=0.38128, height=0.0655687, angle=0)\n", "Rectangle(xy=(173.619, 0), width=0.38128, height=0.0917961, angle=0)\n", "Rectangle(xy=(174, 0), width=0.38128, height=0.0550777, angle=0)\n", "Rectangle(xy=(174.381, 0), width=0.38128, height=0.0445867, angle=0)\n", "Rectangle(xy=(174.762, 0), width=0.38128, height=0.031473, angle=0)\n", "Rectangle(xy=(175.144, 0), width=0.38128, height=0.031473, angle=0)\n", "Rectangle(xy=(175.525, 0), width=0.38128, height=0.0262275, angle=0)\n", "Rectangle(xy=(175.906, 0), width=0.38128, height=0.010491, angle=0)\n", "Rectangle(xy=(176.288, 0), width=0.38128, height=0.0236047, angle=0)\n", "Rectangle(xy=(176.669, 0), width=0.38128, height=0.010491, angle=0)\n", "Rectangle(xy=(177.05, 0), width=0.38128, height=0.0157365, angle=0)\n", "Rectangle(xy=(177.431, 0), width=0.38128, height=0.00262275, angle=0)\n", "Rectangle(xy=(177.813, 0), width=0.38128, height=0.00262275, angle=0)\n", "Rectangle(xy=(178.194, 0), width=0.38128, height=0, angle=0)\n", "Rectangle(xy=(178.575, 0), width=0.38128, height=0, angle=0)\n", "Rectangle(xy=(178.957, 0), width=0.38128, height=0, angle=0)\n", "Rectangle(xy=(179.338, 0), width=0.38128, height=0, angle=0)\n", "Rectangle(xy=(179.719, 0), width=0.38128, height=0.00524549, angle=0)\n" ] } ], "source": [ "for i in patches:\n", " print(i)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Working with Annotation" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplot(1,1,1)\n", "\n", "t = np.arange(0.0, 5.0, 0.01)\n", "s = np.cos(2*np.pi*t)\n", "line, = plt.plot(t, s, linewidth = 2)\n", "\n", "plt.annotate('local max', xy=(2, 1), xytext=(3, 1.5),\n", " arrowprops=dict(facecolor='red', shrink=0.05, edgecolor = 'red',headwidth = 40,\n", " width = 8),\n", " )\n", "\n", "plt.ylim(-2, 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Log and Other Nonlinear Axes" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# subplots_adjust\n", "# left = 0.125 # the left side of the subplots of the figure\n", "# right = 0.9 # the right side of the subplots of the figure\n", "# bottom = 0.1 # the bottom of the subplots of the figure\n", "# top = 0.9 # the top of the subplots of the figure\n", "# wspace = 0.2 # the amount of width reserved for space between subplots,\n", "# # expressed as a fraction of the average axis width\n", "# hspace = 0.2 # the amount of height reserved for space between subplots,\n", "# # expressed as a fraction of the average axis height\n", "\n", "from matplotlib.ticker import NullFormatter\n", "\n", "y = np.random.normal(loc = 0, scale = 1, size = 1000)\n", "\n", "y = y[(y > 0) & (y < 1)]\n", "y.sort()\n", "x = np.arange(len(y))\n", "\n", "plt.figure(figsize = (15, 10))\n", "plt.subplot(2, 2, 1)\n", "plt.plot(x, y)\n", "plt.title('linear')\n", "plt.grid(True)\n", "\n", "plt.subplot(2, 2, 2)\n", "plt.plot(x, y)\n", "plt.title('Log')\n", "plt.yscale('log')\n", "plt.grid(True)\n", "\n", "plt.gca().yaxis.set_minor_formatter(NullFormatter())\n", "\n", "plt.subplot(2, 2, 3)\n", "plt.plot(x, y)\n", "plt.title('Logit')\n", "plt.yscale('logit')\n", "plt.grid(True)\n", "\n", "plt.gca().yaxis.set_minor_formatter(NullFormatter())\n", "\n", "# symmetric log\n", "plt.subplot(2, 2, 4)\n", "plt.plot(x, y - y.mean())\n", "plt.yscale('symlog', linthreshy=0.01)\n", "plt.title('Symlog')\n", "plt.grid(True)\n", "\n", "plt.subplots_adjust(top=0.90, bottom=0.08, left=0.10, right=0.95, hspace=0.25,\n", " wspace=0.35)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Sample plots in Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this here on, we will be mostly using OOP approach for plotting." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t = np.arange(0, 3, 0.1)\n", "s = np.cos(2 * t)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(t, s)\n", "ax.set(xlabel = 'time', ylabel = 'voltage', title ='Cool Electricity Plot')\n", "ax.grid()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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3EAVjg/jUnsxLSGAF4Ewl+PRz/LXxvXXdbf6AVFH9XUB9ba3IufeQxwVgZgx2/QcYfysJh7I3ALTje/EC4jMFNUDn6Ta6261WApIdiGOycAQkffw6ydfqTchMm0p5A7QTg+TcMsYfhU+vO1AcTllcXABmTK71b2X5kYpB6QEgMSYKhmK9AKIm036GxijP63Q/AEBbM9AGTUtvBaAG8CBVxp4f1XkB0AnNjXovYK5XQYYs6zEJ+prpa2dJkqQnbMgXxQVgAkruf1/rb5dzhl9qKaVPXkbuaa9B9quNWozSegGyna53RBm6FgQEIXgwAJw3xSt5wEd5HfoaybH0OWgR0KKgvRsYkbDXvut662vcWr9AgXABmCnJgB+g1Vq3YuFM62+NJgoBpQadywXEz3xVuy7BZLttUw+7nf5bPLftruJyHjKeQHsBVgAq2uUUKjkH5f5nPR113azQyfXSy8W6LtDoNS4AE9N3f+XiVy0I9obPtZibYDAbaouA9TCAXat9pryAbRjks9kCD1DZKMTu4+g8Vj+EO02PDJQBQ/bDIfp8E+GpduMLzsK5nIUpKaOuixVKbfRaPPX/Q8kL61o+ZVwAjsyQrr9S7C/lbMtXCgOSobqVakWVV6CTghrdG7Ctg8FVu9Z7s1XxufEiCOlgmnhe4vorL0LqJ16G5Az0DmLYoryAs6o5Jz2JSGQToLqe5lrq67w2XABmSq5ltn3iUs6KgJ63xq+9AEkKbqhtwIASgLDNeWjaq4IBxRAA5q+O7QH8OMxU292+zrl5AahNFCahQPAAdFIwET8Yo1fX0e6rS3DXhAvAhAy972zST9bZxFxfy28F4KxqjEa7y0DatVdXu3f9y/bnwSPYbE0YQe3Y2noCMYm33bn/D9S7EYPn6hkDGwdYwxYBEE9An5dOEiZCqARB6mXFNa4X72PAf9CpJwZdAGZA101kDUjPW8MrhQJnVSoKelm7zGSOY3sDzrkx3ly9dZcg0PYEACM24gHQLgm4DQOFtsYLKAnAxpxX1uitt5IT0yH/Dydu6CVcAI7IkJsol5izrZZ2Y0ltU8wBaMPXbnSVhgHWNdYjA7f1zjgf2KpeBXlNtxEgOQ9d5wrICtR5HZ4izHw1KF638I+tq235tbjZ66BDBH1t7XLr/6xn+dRxATgRbGYbSIVCryu6wEoMrOusRUQjxrglNR5g27TgGusBWE8gnouqpwjKOaUvCq31hpQXEGv8NrFpE4Cx9Td1Seq1NAvvwQVg5vQNVpG/SUtnlq3B52JnvZ2GlQDIyzlEBPTQW50YjK/W4kxsTakHITkF/Rpw8TqA9J18+lhazKrMfCsxCiMI6lxzhq97Rob03JwqLgATMeTesTcgmXVaBFrrjBjkjES7zbnsue4NqCh9MWis1zniXWRb/ugB5IYAU5NLiAZdqbcF13nPQQuIbKfr3+rlCNtJrsOGVrncSt//x5JwAZiYUneUvdn0si2n+/LtMN9cUlD3nYvx5HoEhLreJenkg52tcCGIgO32y44HUPWWY+k8gDxCXFfpq730ucrfPiGwIQAhvV52n7nru3RcAGZGq1Wyv2fcVjJTNilol5WR5HIBSTKQmuSc3n9i1Oe7R4E1+qUh0q0o51DRLodAaOoheQb9cJAOB2yCtEvktPHrkKB4/TICZa937v/h1HEBOBKH3DC6K6trv7bLy7aYOYOx3Wh6cI1QM5p3BgbDlQ/2xceAN+HFHmHoMG+CO7/JDwgC0haZSHUH1k1XYMkLANreSM4rkPMpZf5zsf+acAE4EaxX0Ir9zQ1dMv7SQBkdP4tBCRU1Lbl8ahtBBPS4nSgEYUU0YnQ/IKSFaMs7IZBnEXLblsTNikHyF2YeZRGwrb9lKa0/MJIAENGdAP4Ou3bhn5j5lWPsd+0MudFarqna1t7kyV9kDEMZkG0J61DuPLzFp2aA6+atPzU3bwO6Ev6ehTcEXVG/1Rs14k/XVaa6STjm3hNgr03L6MNFaH3k1Mzn+v5Lrf+C7L3FwQJARBsArwXw2wDuB/BJInonM3/h0H0741IKEbI5A1VWuvPEqM+D4QOZF4BsQhy/aYxcvuRb63AA+e69ilR3oBkUlHtfgJ6355Jbbw1fCwmwnthfGMMDeAqArzDzVwGAiN4C4JkAXABmCKm/XV2INpTQRqg/FKqTi+LGn1Fw40O33pl4AWrahix/Xam6qYeNKvUVYflQCFQ99HkgY+A6j5H77SKu/xIZQwAeA+Bravl+AL9oCxHRNQDXAOCmR944wmGdi8DmbxfR+DkNGxhp3L2hnSFvOExVeCtwnb4qPPm+nyQR7fHQjDjc1ojfKbDJQFtHPa/XDTH+oa7/EoVhDAHIXZbW/xUzXwdwHQBuuXrzkPtv9Qz55JS9kF0X1sbS8qHM+FvJEFQYANUVKB8K1Ym11ngDDiP+5KUiyjOoq12yr3W8IB4UxIOwq2cpkZjrzrNdlX3Gv8bWHxhHAO4HcJtavhXAN0bYr6PIfthS/4bU+PV7/lt/ObNMphzC8Xoy+TqvUMol6B4Gye6fVeb4KhTQrwuX7kfJNfQhdZA65URAl5X1ML+tofUHxhGATwJ4PBE9DsDXATwXwO+PsN9FccgHJPXYeihD1Xdp/M0aN9pGn7y+m0w/P1TM3+EVaGPURXQOwQ7IyYmCvGyEw1eI5YMhxLtko4QbUjepVg5r+Ll5YR/jXzIHCwAznxPRCwG8D7uQ7Q3MfO/BNVspYnhyQ1ob1Ibf1Xonj/KG2Lxl/CYxJx8DjX8zx9Zv7dGiYiH1l5Sxx/EIISewqZr6bCh4AiEZqLsYdRjQJwBAudUH9jf+pbb+wEjjAJj5PQDeM8a+1ob2DPSTbx2Nb6tc8skt29IrF77m9rTVrX8wNHnjj3anoY+DtpeRw4qAtMYb2o0jsh4BU+jHVyIg24cXCScDj0p0xfNu/Ck+EnAiugzclklaebuOVSIPbeNPDD58rPO8bmJ1CiIQP/sVHgqKx+e0Pnp8f05QkhAkc046PLDDczm8dFTcfl2PeHx13fqSghpr+KVyfftZGi4AM6crd5CIgBgh8sYvLb2MtNsy4oc5CEhaXYnFa0pdaPvtwG3dHC8JLVBIGCJNzIkIybgC8WzspiEn2IgfmucS+tBdfCXjX2PLL7gAnAhJfA8T91Oa1GNj9LmWWn6nMImVsfkIiHT9CVpctrzzJuw+S56AFYbWyESZOPUAEKqnFWCTEYoSXa3+Suy8iAvAERnSExDje1VWt3wy2cSYLGtjFOPfGpffvsoLUCJCafyv3XQbYoixx7f51KnnYcUghxYYOZ48fKRzCBU17n8UlaEKgPx1L/1XrKX1B1wAZkFJGOT+pkKZxAMwnkAuybeVl3hWu1AgSfCFbcUdj3G6FiLt5qv9y9h9meoQGlgvoKvXAGhafzln8QKk9Rfjj6KhTmCffIAbfoMLwISYe7hcLhihDQPkDT2x/155Atu6MahtKEyEJLsudQB2Lb+8iUc/Wqu706wHoHMBEg4k85mwIxGCgV6BrKNQYTZl4nIPXUXWaPyAC8BsiS4uqZYPqQCIZ8BIQwFgd0PXddN9RmH4rQyyeUASfqG8DO1ltJ+oS+pVEIAoBMbwkzf8AO28QIcIEDf1iQOBwkUQo9ehQnLtZD8DrvVajR9wATg6RXdfrdf9/EAjBqyWZZJwXvrw5W/NwfiVBxD3hZ2rDwBcAbxtxu7LsUsegNRVP66rvYDEEzAJQgkN9MM9pXBAiCMgpS5KCXXLnyQXe/ap9712XAAmpi8M0MJQ9AJCuRptIdBxfwwFgFa3nyTe4ttzkXbZ6frE45mW/jwkAXNikB0nwM0+94WUCMTlgftyw29wAZgp0hLrlrfkBejBMfGVXdJ5LvOynfIyWL2BV0KAilP3v+StxEQgMl6AygPoRGGN9L3/SUjAw4VAX5Pk+sCNe19cACZgSBhQ3Db8o0cG6mX90EzMqKvk3ya0/PJXBt5EAQgbx5dpFuogYQCQyQVo46+D669Fw4QPNaf7tug62JBAcgAXcCIcuADMglIYoMcE6M543SOgewLaOwBQNWP7k5F+aPr8ddwvLb8dBZjUtxAG2MSfTgpGL4BTMbAeTdx/jyhYXAQuhgvAzOjyDnSPABjJEFkdCsg8gDQUAMB1M4pO9/nbz2npHECrLkh7A/SYADYCYHsC7LDhJC+QCQP6woLEI4CLwL64AEyENfQ+L0A5AGkmXLX+FZpegXQniM/Zi1hU210OQD+JlzP+Pg/AikDOE9BiYEVATidOZn2JkrG7COyHC8AMKY36s6GAvAAEKv63IpAYQxACcf31uP+hxm/rqZN5OQHIDQ1uCYFp/btGCw7BRWA4LgAT0uUFFN8TYERAbnSdC9AioPUitv5qnfYwdOZfC4DVATH4uI+62Zd27fsm/RSjbf2RWd4HF4FhuABMzEVDASkbPQPkRSAaewgX9KO+9qMZFdQ4goLxJ8dmJSyc9gpYj8AKQ2L4el9qnT53fb2AYcbtItCPC8CM6QsFCMojKIiAJAOtJ0Cs4v6wnzoUsg8Bleom+xMDtYadWy6V0fvTHsahuAh04wIwA/YNBbhVCC0RkJ9I7cMavizrLj9CswyURSAxWNN66y4+mbfegTX+nNFrcUHm96G4CJRxAZgpfaFAnwggeAES20u3IZqfozBQ4a/sN5cDALpFINvKo9v4bTjQdW32xUUgjwvATOgaBWh/K4mAjIojIHmrjngEMm3DdlXB+IFhOQA5piznjFzqmxOIPuMfo/XXuAi0cQGYEUNDASAvAvEGV96ANX49qfeAxmft9XP3Q3MAsmwNN2v02N/4k+MW6jEUF4EUF4CZs68ItDZk5eqjPbX2y+oNuh2Won+yLbWO57sMP/6O1JCt8Y+VEBRcBBpcAGZGKfM/WASgC4dt1R0v+9ICYOe3Pa2/ra8+dDKSzxi+lLNdfV0tf9czAYcIg4vADheAGXKICOiuwbgNp4Zv92cFQAoMGQmo6yfrknlj+HE+U34f4x8DFwEXgNlyEREA1JuErDcQ1mkhSLoHM8W7RKBknLnhvCXD19vua/w+TmAcXABmzL4iAJS9AbsTCQ2k50AMKvlgBnUbWmKkBW8gWc6syyX7+ozbcwLjUfUXKUNEzyGie4moJqLbx6qU05C72W2La8vo4bc6Bo/98mG9HbLLelvejfHvmjq3LRxLewF9xq/Ldl2PMRiY8lgcBwkAgHsAPBvAR0aoi1OgTwRKZawQSLmk601N9gGdlpAgNfTsAz1ojF6Lj66zbNt1nlO0yGsUgYNCAGa+DwDIX8R26ZTCASANCYB8WACkbxpOegUKYw/0sTvr1lFe/1bs27fxf+k4R1CFtYUDR8sBENE1ANcA4KZH3niswy6K0mhBa7SlcloIkps8Y4D7dgN27K5o+Lntc0WPYfiaNYlArwAQ0QcBPCrz013M/I6hB2Lm6wCuA8AtV29ey/UdnS4RAPq9AaBtkFXO2Af+D+WKdRl83G5GrX6OtYhArwAw8x3HqIgznC7jznkDpbJCThD2ufmHGLytT7Juj7LHZA0i4N2AJ8xQb0DKCn3u/T4GPYSSIXcdZmrjF5YuAod2Az6LiO4H8MsA3k1E7xunWs5Qct2A8TeUY+qu7casV87VL9VLbzcnlpziPrQX4G4Ad49UF+cA+sICYUiGf99OnSEG21dkbkZvWaon4CHAwiiFBfF3NV981n+kO33IbuZu+JolioALwAIZkvgD8jfzRd3dixjGKRm/sDQRcAFYMPsk/uI2l1OVZv8LsJ4liYALwEq4iBhcxrGXwlJEwAVghViDHFsQlmjwOZYgAi4ATtFg93khyFo5dRFwAXCKuIEP45RF4NDHgR3HwekOFnIBcJyROEURcAFwnBE5NRFwAXCckTklEXABcJxL4FREwAXAcS6JUxABFwDHuUTmLgIuAI5zycxZBFwAHOcIzFUEXAAc50jMUQRcABzniMxNBFwAHOfIzEkEXAAcZwLmIgIuAI4zEXMQARcAx5mQqUXABcBxJmZKEXABcJwZMJUIuAA4zkyYQgRcABxnRhxbBFwAHGdmHFMEDv046KuJ6ItE9HkiupuIHj5WxRxnzRxLBA71AD4A4AnM/EQAXwbw0sXlpLAAAAUCSURBVMOr5DgOcBwROEgAmPn9zHweFj8G4NbDq+Q4jnDZIjBmDuD5AN474v4cx8HlikDvh0GI6IMAHpX56S5mfkcocxeAcwBv6tjPNQDXAOCmR954oco6zlq5rI+P9AoAM9/R9TsRPQ/A0wE8lbn8LRlmvg7gOgDccvXmU/2QiuNMhngCYxrPQZ8GI6I7AbwEwK8z8w/HqZLjOF2M6Q0cmgP4BwAPA/ABIvosEb1uhDo5jtNDLi9AahrKQR4AM//MIds7jnNxxkgO+khAx1kxLgCOs2JcABxnxbgAOM6KcQFwnBXjAuA4K8YFwHFWjAuA46wYFwDHWTEuAI6zYlwAHGfFuAA4zopxAXCcFeMC4DgrxgXAcVaMC4DjrBgXAMdZMS4AjrNiXAAcZ8W4ADjOinEBcJwV4wLgOCvGBcBxVowLgOOsGBcAx1kxLgCOs2JcABxnxbgAOM6KOUgAiOhviOjz4cvA7yeiW8aqmOM4l8+hHsCrmfmJzPzzAN4F4K9GqJPjOEfiIAFg5u+pxYcC4MOq4zjOMSHmw2yWiF4B4I8AfBfAbzLztwvlrgG4FhafAOCegw48Lo8A8D9TV0Ixt/oA86uT16ebq8z8sL5CvQJARB8E8KjMT3cx8ztUuZcCuIGZX9Z7UKJPMfPtfeWOhdenn7nVyevTzdD6nPUVYOY7Bh7zXwC8G0CvADiOMw8O7QV4vFp8BoAvHlYdx3GOSa8H0MMriegqgBrAfwL4k4HbXT/wuGPj9elnbnXy+nQzqD4HJwEdxzldfCSg46wYFwDHWTGTCcDchhET0auJ6IuhTncT0cMnrs9ziOheIqqJaLLuJSK6k4i+RERfIaK/mKoeqj5vIKJvEdEsxpEQ0W1E9CEiui/8f71o4vrcQESfIKLPhfq8vHMDZp5kAvCTav7PALxuqrqEOvwOgLMw/yoAr5q4Pj8L4CqADwO4faI6bAD8B4CfBvAgAJ8D8HMTX5dfA/BkAPdMWQ9Vn0cDeHKYfxiAL095jQAQgBvD/BUAHwfwS6Xyk3kAPLNhxMz8fmY+D4sfA3DrxPW5j5m/NGUdADwFwFeY+avM/GMAbwHwzCkrxMwfAfB/U9ZBw8zfZObPhPnvA7gPwGMmrA8z8w/C4pUwFW1r0hwAEb2CiL4G4A8wrweJng/gvVNXYgY8BsDX1PL9mPDmnjtE9FgAT8Ku1Z2yHhsi+iyAbwH4ADMX63OpAkBEHySiezLTMwGAme9i5tsAvAnACy+zLkPqE8rcBeA81Gny+kwMZdZ5v3EGIroRwNsAvNh4t0eHmbe8e0L3VgBPIaInlMoeOhCoryKzGkbcVx8ieh6ApwN4Kocgasr6zID7Adymlm8F8I2J6jJbiOgKdsb/JmZ++9T1EZj5O0T0YQB3ovDw3ZS9ALMaRkxEdwJ4CYBnMPMPp6zLjPgkgMcT0eOI6EEAngvgnRPXaVYQEQF4PYD7mPk1M6jPzdKDRUQPAXAHOmxrspGARPQ27LLccRgxM399ksrs6vMVAA8G8L9h1ceYeejQ5suoz7MA/D2AmwF8B8Bnmfl3J6jH0wD8LXY9Am9g5lccuw6mPm8G8BvYPX773wBexsyvn7A+vwrgXwH8O3b3MgD8JTO/Z6L6PBHAG7H7/6oAvJWZ/7pYfioBcBxnenwkoOOsGBcAx1kxLgCOs2JcABxnxbgAOM6KcQFwnBXjAuA4K+b/Addm04fQCnCwAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.arange(-5, 5, 0.1)\n", "y = np.arange(-5, 5, 0.1)\n", "X, Y = np.meshgrid(x, y)\n", "Z1 = np.exp(-X**2 - Y**2)\n", "Z2 = np.exp(-(X - 1)**2 - (Y - 1)**2)\n", "Z =(Z1 - Z2) * 2\n", "\n", "fig, ax = plt.subplots()\n", "\n", "# interpolation options:\n", "#'none', 'nearest', 'bilinear', 'bicubic', 'spline16', 'spline36', \n", "#'hanning', 'hamming', 'hermite', 'kaiser', 'quadric', 'catrom', \n", "#'gaussian', 'bessel', 'mitchell', 'sinc', 'lanczos'.\n", "\n", "im = ax.imshow(Z, interpolation = 'gaussian', cmap ='summer', origin = 'lower', extent =[-3, 3, -3, 3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A Big Example With OOP" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "findfont: Font family ['Fixedsys'] not found. Falling back to DejaVu Sans.\n", "findfont: Font family ['Blackadder'] not found. Falling back to DejaVu Sans.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "################### Set Font First #############################\n", "import matplotlib.font_manager as font_manager\n", "fontGotham = font_manager.FontProperties(family='Gotham',\n", " weight='bold',\n", " style='normal', size=16)\n", "# the family name can be checked in the property of the font file in 'Control Panel' in Windows OS\n", "fontStayWildy = font_manager.FontProperties(family='Stay Wildy Personal Use Only',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontWildOne = font_manager.FontProperties(family='Wild Ones',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontRavie = font_manager.FontProperties(family='RAVIE',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontSimp = font_manager.FontProperties(family='Simplicity',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontForte = font_manager.FontProperties(family='Forte',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontFixe = font_manager.FontProperties(family='Fixedsys',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontAlgerian = font_manager.FontProperties(family='Algerian',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "fontBlackAdd = font_manager.FontProperties(family='Blackadder',\n", " weight='bold',\n", " style='normal', size=16)\n", "#################################################################\n", "\n", "x = np.arange(1, 30, 0.2)\n", "u = np.random.randn(len(x))\n", "u1 = np.random.randn(len(x))\n", "y = 3 + 6 * x + 20 * u\n", "y1 = 2 + 4 * x + 10 * u1\n", "v = np.random.rand(len(x))\n", "\n", "#################################################################\n", "fig, ax = plt.subplots(nrows = 3, ncols = 3, figsize = (18, 13))\n", "plt.subplots_adjust(hspace = 0.5)\n", "#################################################################\n", "\n", "# the size is proportional to v's absolute value\n", "# and the annotation text color is random from the uniform distribution \n", "\n", "ax[0, 0].scatter(x, y, c = v, s = 50 * np.abs(u), alpha = 0.8, edgecolor = None)\n", "\n", "# We can choose the location of title by using (x = , y = )\n", "ax[0, 0].set_title('Colorful Scatter Plot', fontproperties = fontStayWildy, \n", " fontsize = 30, x = 0.3, y = 1.05)\n", "\n", "ax[0, 0].annotate('I am a point', xy = (x[10], y[10]), xytext = (5, 150), color = (v[9], v[10], v[11]), fontsize = 15,\n", " arrowprops=dict(facecolor='pink', shrink=0.1, edgecolor = 'pink' ,headwidth = 10, width = 1))\n", "ax[0, 0].set_xlabel('X-Axis', fontsize = 15)\n", "ax[0, 0].set_ylabel('Y-Axis', fontsize = 15)\n", "\n", "# In order not to let the label overlap the X-axis, reset the location, it is the relative pct location to the X-axis\n", "ax[0, 0].xaxis.set_label_coords(0.5, -0.1)\n", "\n", "\n", "#################################################################\n", "\n", "ax[0, 1].grid(True,color='pink', linestyle='-', linewidth=2)\n", "sns.scatterplot(x, y, ax = ax[0, 1])\n", "sns.scatterplot(x, y1, ax = ax[0, 1])\n", "ax[0, 1].set_title('Seaborn Scatter Plot', fontproperties = fontWildOne, \n", " fontsize = 30, x = 0.5, y = 1.05)\n", "\n", "#################################################################\n", "\n", "ax_list = ['top','right','bottom','left']\n", "\n", "ax[0, 2].hist(u, bins = 12, color = (0.8, .3, .3, 0.5))\n", "ax[0, 2].set_xlim([-5, 5])\n", "ax[0, 2].set_ylim([0, 40])\n", "\n", "# use loop to deepen the color of axis and thicken the linewidth of axis\n", "i_thick = 1\n", "i_color = .19\n", "for i in ax_list:\n", " ax[0, 2].spines[i].set_color((.1, 0.1, 1 - i_color))\n", " ax[0, 2].spines[i].set_linewidth(i_thick)\n", " i_thick += 2\n", " i_color += 0.15\n", "\n", "\n", "ax[0, 2].tick_params(axis = 'x', color = 'red', labelsize = 20) # change tick color and labelsize\n", "ax[0, 2].tick_params(axis = 'y', colors = 'red', length = 20,\n", " direction = 'in') # change both tick and tick label color, and add tick length\n", "ax[0, 2].set_title('Happy Histogram', fontproperties = fontRavie, \n", " fontsize = 30, x = 0.5, y = 1.05)\n", "ax[0, 2].title.set_color([0.8, .3, .3, 0.5])\n", "\n", "#################################################################\n", "\n", "sns.distplot(u, ax = ax[1, 0], bins = 15,\n", " rug = True, vertical = True,\n", " color = 'r')\n", "ax[1, 0].set_title('Seaborn KDE', fontproperties = fontSimp, \n", " fontsize = 30, x = 0.5, y = 1.05)\n", "\n", "#################################################################\n", "\n", "from statsmodels.distributions.empirical_distribution import ECDF\n", "\n", "# Return the Empirical CDF of an array as a step function.\n", "ecdf = ECDF(u) \n", "ax[1, 1].plot(ecdf.x, ecdf.y, linewidth = 3, color = 'r')\n", "ax[1, 1].set_title('Statsmodel and \\n Seaborn Emperical CDF', fontproperties = fontForte, fontsize = 30)\n", "\n", "kwargs = {'cumulative': True}\n", "sns.distplot(u, ax = ax[1, 1], hist_kws=kwargs)\n", "\n", "sns.distplot(u, ax = ax[1, 1])\n", "\n", "#################################################################\n", "\n", "# We use scipy's stats module\n", "\n", "ax[1, 2].plot(sp.stats.cumfreq(u, 10)[0]/len(u), linewidth = 3) # normalise the frequency count\n", "ax[1, 2].set_title('Scipy CumFreq \\n and CumHist Plot', fontproperties = fontGotham, \n", " fontsize = 20, x = 0.5, y = 1.05)\n", "ax[1, 2].title.set_color([0.6, .3, .8, 0.8])\n", "\n", "ax[1, 2].hist(u, density = True, cumulative = True, histtype = 'step', linewidth = 3)\n", "ax[1, 2].set_facecolor([0.3, 0.3, 0.3])\n", "ax[1, 2].grid(True, linestyle='--', linewidth = 2, color = 'white')\n", "#################################################################\n", "\n", "A = np.zeros((5, 10))\n", "for i in range(0, 5):\n", " A[i] = np.random.normal(loc = i, scale = 1, size = (10))\n", "\n", "col_mean = np.mean(A, axis = 1)\n", "col_mean = col_mean[:,np.newaxis]\n", "\n", "A = np.concatenate((A,col_mean),axis=1)\n", "\n", "df = pd.DataFrame(A)\n", "df.rename(columns = {10: 'mean'}, inplace = True)\n", "\n", "std = np.zeros((5, 1))\n", "for i in range(0,df.shape[0]):\n", " std[i] = np.std(df.iloc[i,0:9])\n", "std = pd.DataFrame(std)\n", "df['std'] = std\n", "\n", "ax[2, 0].errorbar(list(df.index), df['mean'], yerr = df['std'], fmt = 'o', capsize = 5, capthick = 2)\n", "ax[2, 0].set_title('I am Crazy Error Bars', fontproperties = fontFixe, \n", " fontsize = 20, x = 0.5, y = 1.05)\n", "ax[2, 0].yaxis.grid(True, linestyle='--', linewidth = 2, color = 'red')\n", "#################################################################\n", "\n", "# we use the data generated above\n", "# any data outside of 1.5*IQR will be shown indiviually as points \n", "ax[2, 1].boxplot(df, notch = True, sym = '+')\n", "ax[2, 1].set_title('Noteched Boxplot', fontproperties = fontAlgerian, \n", " fontsize = 30, x = 0.5, y = 1.05)\n", "\n", "ax21_twin = ax[2, 1].twinx() # instantiate a second axes that shares the same x-axis\n", "\n", "sns.boxplot(df, ax = ax21_twin, color = 'r', boxprops=dict(alpha=.3))\n", "\n", "\n", "#################################################################\n", "\n", "dat = np.random.rand(10, 4)\n", "df = pd.DataFrame(dat, columns = ['a', 'b', 'c', 'd'])\n", "\n", "wid = 0.25\n", "x_indices = np.arange(len(df['a']))\n", "\n", "ax[2, 2].bar(x_indices - 2 * wid, df['a'], width = wid, label = 'a')\n", "ax[2, 2].bar(x_indices - 1 * wid, df['b'], width = wid, label = 'b')\n", "ax[2, 2].bar(x_indices, df['c'], width = wid, label = 'c')\n", "ax[2, 2].bar(x_indices + wid, df['d'], width = wid, label = 'd')\n", "ax[2, 2].legend()\n", "\n", "ax[2, 2].set_title('Colorful Bars', fontproperties = fontBlackAdd, fontsize = 30, x = 0.5, y = 1.05)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scatter Plot and Axes Limit" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " // select the cell after this one\n", " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n", " IPython.notebook.select(index + 1);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib notebook\n", "################### Set Font First #############################\n", "import matplotlib.font_manager as font_manager\n", "\n", "fontGotham = font_manager.FontProperties(family='Gotham',\n", " weight='bold',\n", " style='normal', size=16)\n", "# the family name can be checked in the property of the font file in 'Control Panel' in Windows OS\n", "fontFixe = font_manager.FontProperties(family='Fixedsys',\n", " weight='bold',\n", " style='normal', size=16)\n", "\n", "\n", "############################################################################\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "############################################################################\n", "\n", "fig = plt.figure(figsize = (10,4))\n", "fig.set_facecolor([0.1, 0.1, 0.1])\n", "\n", "ax121 = fig.add_subplot(1,2,1, projection='3d')\n", "\n", "t = np.arange(0, 10*np.pi, np.pi/50)\n", "xt = np.sin(t)\n", "yt = np.cos(t)\n", "\n", "ax121.plot(xt, yt, t)\n", "ax121.set_title('I Am a Spiral', fontproperties = fontFixe, \n", " fontsize = 15, x = 0.5, y = 1.10, color ='w')\n", "ax121.set_facecolor([0.1, 0.1, 0.1])\n", "ax121.grid(True, linestyle='--', linewidth = 10, color = 'red')\n", "\n", "ax121.w_xaxis.set_pane_color([0.1, 0.1, 0.1])\n", "ax121.w_yaxis.set_pane_color([0.1, 0.1, 0.1])\n", "ax121.w_zaxis.set_pane_color([0.1, 0.1, 0.1])\n", "\n", "ax121.tick_params(axis='x', colors='w') # only affects\n", "ax121.tick_params(axis='y', colors='w') # tick labels\n", "ax121.tick_params(axis='z', colors='w') # not tick marks\n", "\n", "#############################################################################\n", "\n", "ax122 = fig.add_subplot(1,2,2, projection='3d')\n", "\n", "t = np.linspace(0, 4*np.pi, 100)\n", "xt = 10 * np.sin(t) + np.random.randn(100)\n", "yt = 10 * np.cos(t) + np.random.randn(100)\n", "\n", "ax122.scatter(xt, yt, t, color = 'red', alpha = 0.5)\n", "ax122.set_title('I Am a Disturbed Scattered Spiral', fontproperties = fontGotham, \n", " fontsize = 15, x = 0.5, y = 1.09, color = 'w')\n", "\n", "ax122.w_xaxis.line.set_color('red')\n", "ax122.w_yaxis.line.set_color('red')\n", "ax122.w_zaxis.line.set_color('red')\n", "\n", "ax122.tick_params(axis='x', colors='blue') # only affects\n", "ax122.tick_params(axis='y', colors='blue') # tick labels\n", "ax122.tick_params(axis='z', colors='blue') # not tick marks\n", "\n", "ax122.xaxis._axinfo['tick']['color']='red'\n", "ax122.yaxis._axinfo['tick']['color']='red'\n", "ax122.zaxis._axinfo['tick']['color']='red'\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mesh Plot" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " // select the cell after this one\n", " var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n", " IPython.notebook.select(index + 1);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-1.0, 1.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig = plt.figure(figsize = (10,4))\n", "# fig.set_facecolor([0.1, 0.1, 0.1])\n", "\n", "ax121 = fig.add_subplot(1,2,1, projection='3d')\n", "#ax121 = fig.gca(projection='3d')\n", "\n", "x = np.arange(-3, 3, 0.25)\n", "y = np.arange(-3, 3, 0.25)\n", "\n", "X = np.meshgrid(x, y)[0]\n", "Y = np.meshgrid(x, y)[1]\n", "\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)\n", "\n", "# Plot the surface.\n", "surf = ax121.plot_surface(X, Y, Z, cmap = 'summer')\n", "\n", "# Customize the z axis.\n", "ax121.set_zlim(-1.01, 1.01)\n", "ax121.zaxis.set_major_locator(LinearLocator(5))\n", "ax121.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", "\n", "# Add a color bar which maps values to colors.\n", "fig.colorbar(surf, shrink = 0.5, aspect = 8)\n", "\n", "plt.show()\n", "\n", "#########################################################################\n", "\n", "ax122 = fig.add_subplot(1,2,2, projection='3d')\n", "#ax122.set_aspect('equal')\n", "\n", "u = np.linspace(0, 2 * np.pi, 100)\n", "v = np.linspace(0, np.pi, 100)\n", "\n", "x = 1 * np.outer(np.cos(u), np.sin(v))\n", "y = 1 * np.outer(np.sin(u), np.sin(v))\n", "z = 1 * np.outer(np.ones(np.size(u)), np.cos(v))\n", "\n", "ax122.plot_surface(x, y, z, rstride=4, cstride=4, color='r', linewidth=1.2, alpha = .9) \n", "ax122.set_title('What a fucking Trash!! \\n Matplotlib 3D is total trash.', \n", " fontsize = 12, x = 0.5, y = 1, color = 'k')\n", "\n", "ax122.set_xlim3d(-1, 1)\n", "ax122.set_ylim3d(-1, 1)\n", "ax122.set_zlim3d(-1, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Triangle Mesh" ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 202, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig = plt.figure(figsize = (10,10))\n", "# fig.set_facecolor([0.1, 0.1, 0.1])\n", "\n", "ax121 = fig.add_subplot(2,2,1, projection='3d')\n", "#ax121 = fig.gca(projection='3d')\n", "\n", "x = np.arange(-3, 3, 0.25)\n", "y = np.arange(-3, 3, 0.25)\n", "\n", "X = np.meshgrid(x, y)[0]\n", "Y = np.meshgrid(x, y)[1]\n", "\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)\n", "\n", "# Plot the surface.\n", "ax121.contour(X, Y, Z, cmap = 'summer')\n", "ax121.set_title('Ordinary Contour')\n", "\n", "###################################################################################\n", "\n", "ax122 = fig.add_subplot(2,2,2, projection='3d')\n", "ax122.set_title('Filled Contour')\n", "\n", "ax122.contourf(X, Y, Z)\n", "\n", "######################################################################################\n", "\n", "ax123 = fig.add_subplot(2,2,3, projection='3d')\n", "cset = ax123.contour(X, Y, Z, cmap = 'summer', extend3d = True)\n", "ax123.clabel(cset, fontsize=9, inline=1)\n", "\n", "####################################################################################\n", "\n", "ax124 = fig.add_subplot(2,2,4, projection='3d')\n", "X, Y, Z = axes3d.get_test_data(0.05)\n", "ax124.plot_surface(X, Y, Z, rstride=8, cstride=8, alpha=0.3)\n", "cset = ax124.contour(X, Y, Z, zdir='z', offset=-100, cmap=cm.coolwarm) # zdir means z direction projection, offset means move along the z direction\n", "cset = ax124.contour(X, Y, Z, zdir='x', offset=-40, cmap=cm.coolwarm)\n", "cset = ax124.contour(X, Y, Z, zdir='y', offset=40, cmap=cm.coolwarm)\n", "\n", "ax124.set_xlabel('X')\n", "ax124.set_xlim(-40, 40)\n", "ax124.set_ylabel('Y')\n", "ax124.set_ylim(-40, 40)\n", "ax124.set_zlabel('Z')\n", "ax124.set_zlim(-100, 100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Projection" ] }, { "cell_type": "code", "execution_count": 203, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "Text(1, 0.5, 'Cross Here!')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "t = np.arange(0, 3, 0.1)\n", "s = np.cos(2 * t)\n", "\n", "fig, ax = plt.subplots(figsize = (9, 5))\n", "ax.plot(t, s)\n", "ax.axvspan(xmin = .5, xmax = 1.5, facecolor = 'r', alpha = .3)\n", "ax.axhspan(ymin = -.5, ymax = 0, facecolor = 'y', alpha = .3)\n", "ax.annotate('Cross Here!', xy = (1.5, 0), xytext = (1, .5), weight = 'bold', color = 'r', \n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3', color = 'b'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Path" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "verts = [\n", " (0., 0.), # left, bottom\n", " (0., 1.5), # left, top\n", " (1., .5), # right, top\n", " (.5, 0.), # right, bottom\n", " (0., 0.), # ignored\n", "]\n", "\n", "codes = [\n", " mpl.path.Path.MOVETO,\n", " mpl.path.Path.LINETO,\n", " mpl.path.Path.LINETO,\n", " mpl.path.Path.LINETO,\n", " mpl.path.Path.CLOSEPOLY,\n", "]\n", "\n", "path = mpl.path.Path(verts, codes)\n", "\n", "fig, ax = plt.subplots(figsize = (12, 7))\n", "patch = mpl.patches.PathPatch(path, facecolor='orange', lw=2, alpha = .5)\n", "ax.add_patch(patch)\n", "ax.set_xlim(-2, 2)\n", "ax.set_ylim(-2, 2)\n", "ax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## One Candlestick" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(0.0, -0.5), (0.0, 0.5), (0.1, 0.5), (0.1, -0.5), (0.0, -0.5)]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "verts" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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AADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBk4TpqnpVVd1QVR9bYXtV1W9U1XVV9ZGqevAU/QIAwGaaamb61UkuWGX7Y5OcN//ak+Q3J+oXAAA2zSRhuruvSHLjKk0uTvLannl/krtW1T2n6BsAADZLdfc0O6q6b5K3dff3LLPtbUle1N1/NH/+niTP6e6rlmm7J7PZ62zfvn3nvn37Jhnf7d2RI0eybdu2zR7GKUM9p6We01mrlgcOHEiS7Ny580QN6aTm2JyWek5HLae1e/fuA919/sh7z5h6MCuoZV5bNsV3994ke5Nkx44dvWvXrttwWLcfCwsLUcvpqOe01HM6a9Vy9+7dSZKpJlJOdY7NaanndNRy6zhRV/M4lOTcRc/PSXL9CeobAABuEycqTO9P8qPzq3o8LMlN3f25E9Q3AADcJiZZ5lFVr0uyK8nZVXUoyS8muUOSdPcrklyW5MIk1yX5SpIfm6JfAADYTJOE6e5+6hrbO8lPTNEXAABsFe6ACAAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADJokTFfVBVV1sKquq6rnLrP9GVX1+aq6ev71zCn6BQCAzXTGRndQVacneXmS709yKMmVVbW/uz++pOkbuvuSjfYHAABbxYbDdJKHJLmuuz+VJFX1+iQXJ1kapgG4DXV3jh49msOHD6/ZdrU227ZtS1VNOTSAU1Z198Z2UPWkJBd09zPnz5+W5KGLZ6Gr6hlJ/mOSzyf5ZJJ/292fXWF/e5LsSZLt27fv3Ldv34bGx8yRI0eybdu2zR7GKUM9p6We0zh69Gi+/PnP586HDg3v4xtJTn/Qg3LaaU6pSRybU1PP6ajltHbv3n2gu88fee8UM9PLTV8sTehvTfK67v56VT0ryWuSfN9yO+vuvUn2JsmOHTt6165dEwyRhYWFqOV01HNa6jmNw4cP58q9e/N9l146vo8kufnmnHXWWZON62Tm2JyWek5HLbeOKaYeDiU5d9Hzc5Jcv7hBd3+xu78+f/pbSXZO0C8AAGyqKcL0lUnOq6r7VdUdkzwlyf7FDarqnoueXpTk2gn6BQCATbXhZR7dfUtVXZLkXUlOT/Kq7r6mql6Y5Kru3p/kp6rqoiS3JLkxyTM22i8AAGy2KdZMp7svS3LZktdesOjx85I8b4q+AABgq3C6NgAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAZNEqar6oKqOlhV11XVc5fZfqeqesN8+weq6r5T9AsAAJtpw2G6qk5P8vIkj03ygCRPraoHLGn240m+1N3fmeSlSX51o/0CAMBmm2Jm+iFJruvuT3X33yV5fZKLl7S5OMlr5o/fmOSRVVUT9A0AAJtmijB97ySfXfT80Py1Zdt09y1JbkryTyboGwAANs0ZE+xjuRnmHmgza1i1J8meJNm+fXsWFhY2NDhmjhw5opYTUs9pqec0jh49mi+fc04WXvKS8X0kyZVX5rTTnJ+eODanpp7TUcutY4owfSjJuYuen5Pk+hXaHKqqM5L84yQ3Lrez7t6bZG+S7Nixo3ft2jXBEFlYWIhaTkc9p6We0zh8+HCu3Ls3uy69dHwfSXLzzTnrrLMmG9fJzLE5LfWcjlpuHVNMPVyZ5Lyqul9V3THJU5LsX9Jmf5Knzx8/Kcl7u3vZmWkAADhZbHhmurtvqapLkrwryelJXtXd11TVC5Nc1d37k/xOkv9SVddlNiP9lI32CwAAm22KZR7p7suSXLbktRcsevy1JE+eoi8AANgqnGECAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAM2lCYrqpvrarLq+rP5t/vtkK7b1TV1fOv/RvpEwAAtoqNzkw/N8l7uvu8JO+ZP1/OV7v7gfOvizbYJwAAbAlnbPD9FyfZNX/8miQLSZ6zwX0CMOgbSQ5v4P2Hk5w10VgAbg+qu8ffXPW33X3XRc+/1N23WupRVbckuTrJLUle1N2/v8o+9yTZkyTbt2/fuW/fvuHx8U1HjhzJtm3bNnsYpwz1nJZ6Tufw4cO5853vvOL2D33oQ0mSBz3oQSu2Oe00p9Mc49iclnpORy2ntXv37gPdff7Ie9cM01X17iT3WGbT85O8Zp1h+l7dfX1VfUeS9yZ5ZHf/+VqD27FjRx88eHCtZqzDwsJCdu3atdnDOGWo57TUczpr1bKqkiQbmUi5PXFsTks9p6OW06qq4TC95jKP7n7UKh3/TVXds7s/V1X3THLDCvu4fv79U1W1kORBSdYM0wAAsJVt9G95+5M8ff746UnesrRBVd2tqu40f3x2kkck+fgG+wUAgE230TD9oiTfX1V/luT7589TVedX1W/P23xXkquq6sNJ3pfZmmlhGgCAk96GrubR3V9M8shlXr8qyTPnj/8kyT/dSD8AALAVOWUbAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYtKEwXVVPrqprqupoVZ2/SrsLqupgVV1XVc/dSJ8AALBVbHRm+mNJnpDkipUaVNXpSV6e5LFJHpDkqVX1gA32CwAAm+6Mjby5u69NkqpardlDklzX3Z+at319kouTfHwjfQMAwGar7t74TqoWklza3Vcts+1JSS7o7mfOnz8tyUO7+5IV9rUnyZ4k2b59+859+/ZteHwkR44cybZt2zZ7GKcM9ZyWek5nrVoeOHAgSbJz584TNaSTmmNzWuo5HbWc1u7duw9094pLllez5sx0Vb07yT2W2fT87n7LOvpYbtp6xQTf3XuT7E2SHTt29K5du9bRBWtZWFiIWk5HPaelntNZq5a7d+9OkkwxkXJ74NiclnpORy23jjXDdHc/aoN9HEpy7qLn5yS5foP7BACATXciLo13ZZLzqup+VXXHJE9Jsv8E9AsAALepjV4a7/FVdSjJw5O8vareNX/9XlV1WZJ09y1JLknyriTXJtnX3ddsbNgAALD5Nno1jzcnefMyr1+f5MJFzy9LctlG+gIAgK3GHRABAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwaENhuqqeXFXXVNXRqjp/lXafrqqPVtXVVXXVRvoEAICt4owNvv9jSZ6Q5JXraLu7u7+wwf4AAGDL2FCY7u5rk6SqphkNAACcRKq7N76TqoUkl3b3sks4quovknwpSSd5ZXfvXWVfe5LsSZLt27fv3Ldv34bHR3LkyJFs27Zts4dxylDPaanndNaq5YEDB5IkO3fuPFFDOqk5NqelntNRy2nt3r37QHevuGR5NWuG6ap6d5J7LLPp+d39lnmbhawepu/V3ddX1bcluTzJT3b3FWsNbseOHX3w4MG1mrEOCwsL2bVr12YP45ShntNSz+mo5bTUc1rqOR21nFZVDYfpNZd5dPejRna8ZB/Xz7/fUFVvTvKQJGuGaQAA2Mpu80vjVdWdq+qsY4+TPDqzExcBAOCkttFL4z2+qg4leXiSt1fVu+av36uqLps3u3uSP6qqDyf50yRv7+53bqRfAADYCjZ6NY83J3nzMq9fn+TC+eNPJfnnG+kHAAC2IndABACAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABgnTAAAwSJgGAIBBwjQAAAwSpgEAYJAwDQAAg4RpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAMEqYBAGCQMA0AAIOEaQAAGCRMAwDAIGEaAAAGCdMAADBImAYAgEHCNAAADBKmAQBgkDANAACDhGkAABgkTAMAwCBhGgAABm0oTFfV/1lVn6iqj1TVm6vqriu0u6CqDlbVdVX13I30CQAAW8VGZ6YvT/I93f3PknwyyfOWNqiq05O8PMljkzwgyVOr6gEb7BcAADbdhsJ0d/9Bd98yf/r+JOcs0+whSa7r7k91998leX2SizfSLwAAbAVnTLivf5nkDcu8fu8kn130/FCSh660k6rak2TP/OnXq+pjk43w9u3sJF/Y7EGcQtRzWuo5HbWclnpOSz2no5bT2jH6xjXDdFW9O8k9ltn0/O5+y7zN85PckuR3l9vFMq/1Sv11994ke+f7vaq7z19rjKxNLaelntNSz+mo5bTUc1rqOR21nFZVXTX63jXDdHc/ao3On57kcUke2d3LheRDSc5d9PycJNcfzyABAGAr2ujVPC5I8pwkF3X3V1ZodmWS86rqflV1xyRPSbJ/I/0CAMBWsNGrebwsyVlJLq+qq6vqFUlSVfeqqsuSZH6C4iVJ3pXk2iT7uvuade5/7wbHxzep5bTUc1rqOR21nJZ6Tks9p6OW0xquZy2/MgMAAFiLOyACAMAgYRoAAAZtqTDt9uTTqaonV9U1VXW0qla8dE5VfbqqPjpf8z58WZhT3XHU07G5DlX1rVV1eVX92fz73VZo9435sXl1VTlxeZG1jrWqulNVvWG+/QNVdd8TP8qTxzrq+Yyq+vyi4/GZmzHOk0FVvaqqbljpPhE18xvzWn+kqh58osd4MllHPXdV1U2Ljs0XnOgxniyq6tyqel9VXTv/f/pPL9PmuI/PLRWm4/bkU/pYkickuWIdbXd39wNdr3JVa9bTsXlcnpvkPd19XpL3zJ8v56vzY/OB3X3RiRve1rbOY+3Hk3ypu78zyUuT/OqJHeXJ4zj+7b5h0fH42yd0kCeXVye5YJXtj01y3vxrT5LfPAFjOpm9OqvXM0n+cNGx+cITMKaT1S1Jfra7vyvJw5L8xDL/1o/7+NxSYdrtyafT3dd298HNHsepYp31dGyu38VJXjN//JokP7iJYzkZredYW1zjNyZ5ZFUtdxMt/NudVHdfkeTGVZpcnOS1PfP+JHetqnuemNGdfNZRT9apuz/X3R+cPz6c2YklxEEAAAM5SURBVFXm7r2k2XEfn1sqTC/xL5O8Y5nXl7s9+dJCsH6d5A+q6sD8Vu6Mc2yu3927+3PJ7D9uSb5thXZnVtVVVfX+qhK4v2k9x9o/tJlPUtyU5J+ckNGdfNb7b/eJ8z/7vrGqzl1mO+vjv5XTe3hVfbiq3lFV373ZgzkZzJe+PSjJB5ZsOu7jc807IE6tTvDtyU9l66nlOjyiu6+vqm/L7Hrhn5j/Fny7M0E9HZuLrFbP49jNfebH53ckeW9VfbS7/3yaEZ7U1nOsOR7Xbz21emuS13X316vqWZnN+n/fbT6yU5Njc1ofTPLt3X2kqi5M8vuZLVFgBVW1LcmbkvxMd9+8dPMyb1n1+DzhYdrtyaezVi3XuY/r599vqKo3Z/bnzttlmJ6gno7NRVarZ1X9TVXds7s/N//z2Q0r7OPY8fmpqlrIbBZBmF7fsXaszaGqOiPJP44/Fa9kzXp29xcXPf2tWIO+Ef5bOaHFYbC7L6uq/7uqzu7uL2zmuLaqqrpDZkH6d7v795ZpctzH55Za5lFuT35CVdWdq+qsY4+TPDqzE+0Y49hcv/1Jnj5//PQkt5r5r6q7VdWd5o/PTvKIJB8/YSPc2tZzrC2u8ZOSvHeFCQrWUc8layYvymytJWP2J/nR+VUTHpbkpmPLvjh+VXWPY+dDVNVDMst2X1z9XbdP8zr9TpJru/vXVmh23MfnCZ+ZXsPLktwps+UGSfL+7n5WVd0ryW9394XdfUtVHbs9+elJXnUctye/3aiqxyf5z0m2J3l7VV3d3Y9ZXMskd0/y5nmtz0jyX7v7nZs26C1sPfV0bB6XFyXZV1U/nuQvkzw5SWp22cFndfczk3xXkldW1dHM/ufwou4WpjNbA73csVZVL0xyVXfvz+x/GP+lqq7LbEb6KZs34q1tnfX8qaq6KLMliDcmecamDXiLq6rXJdmV5OyqOpTkF5PcIUm6+xVJLktyYZLrknwlyY9tzkhPDuuo55OSPLuqbkny1SRP8Yvzih6R5GlJPlpVV89f+/kk90nGj0+3EwcAgEFbapkHAACcTIRpAAAYJEwDAMAgYRoAAAYJ0wAAMEiYBgCAQcI0AAAM+v8B8elNTWfhG44AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "verts = [\n", " (0., -.5), # left, bottom\n", " (0., .5), # left, top\n", " (.1, .5), # right, top\n", " (.1, -.5), # right, bottom\n", " (0., -.5), # ignored\n", "]\n", "\n", "codes = [\n", " mpl.path.Path.MOVETO,\n", " mpl.path.Path.LINETO,\n", " mpl.path.Path.LINETO,\n", " mpl.path.Path.LINETO,\n", " mpl.path.Path.CLOSEPOLY,\n", "]\n", "\n", "path = mpl.path.Path(verts, codes)\n", "\n", "fig, ax = plt.subplots(figsize = (12, 7))\n", "\n", "\n", "patch = mpl.patches.PathPatch(path, facecolor='red', lw=.1)\n", "ax.add_patch(patch)\n", "ax.plot([.05, .05], [-1.5, 1.2], zorder = 0, lw = 2, color ='k')\n", "ax.set_title('One Candlestick Chart', size = 15)\n", "\n", "ax.set_xlim(-2, 2)\n", "ax.set_ylim(-2, 2)\n", "ax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Arrows and Quivers" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize = (12, 12))\n", "ax.arrow(0, 0, 2, 2, color = 'red', width = .08, \n", " length_includes_head = True,\n", " head_width = .3, # default: 3*width\n", " head_length = .6,\n", " overhang = .4)\n", "\n", "ax.axis([-5, 5, -5, 5])\n", "ax.grid()" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "image/png": 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7du30/vvvWzLDMDRjxgz17t3bgWYIZ4xiAAAQNA4fPqykpCR98sknliwqKkqzZ89Wenq6A80Q7hjFAAAgKBw4cECJiYn67LPPLFl0dLRee+01de/e3YFmiASMYgAA4Lh9+/YpPj5eX331lSUrV66c5s+fry5dujjQDJGCUQwAABy1Z88eud1ubdq0yZKVL19eCxcuVEpKigPNEEkYxQAAwDE7d+6Uy+XSli1bLFnFihW1ePFiJSUlOdAMkYZRDAAAHLF9+3a5XC5t3brVklWuXFnLli2Ty+VyoBkiEaMYAAAE3A8//CCXy6UdO3ZYstjYWGVmZurmm292oBkiFaMYAAAE1ObNm+V2u7Vr1y5LVq1aNWVlZemGG25woBkiGaMYAAAEzMaNG+V2u7V3715LVqNGDa1atUrXXHONA80Q6RjFAAAgIL788kvFx8dr//79lqxWrVpas2aNrrrqKgeaAVKU0wUAAED427Bhg+Li4mwHcZ06deTxeBjEcBSjGAAAlKmPP/5Ybrdbhw4dsmT169eXx+NRy5YtHWgG/H+MYgAAUGbee+89xcfH68iRI5asQYMG8nq9+vOf/+xAM+C3GMUAAKBMeL1eJSUlKS8vz5JddNFFys3NVdOmTR1oBlgxigEAgN+tWbNGbdu21YkTJyxZkyZNlJubq4svvtiBZoA9RjEAAPCrlStXKiUlRfn5+ZasWbNm8nq9atSokQPNgDNjFAMAAL9ZunSpOnfurNOnT1uyFi1ayOv16sILL3SgGfD7GMUAAMAvFi5cqNTUVBUUFFiyK664Qh6PR/Xq1XOgGfDHGMUAAKDU5s2bp+7du6uoqMiStWrVSuvWrVPt2rUdaAacHUYxAAAoldmzZys9PV3FxcWW7LrrrtPatWtVq1YtB5oBZ49RDAAASmzGjBnq1auXfD6fJbvpppu0atUq1ahRw4FmwLlhFAMAgBJ58cUX1a9fP5mmacnatGmjrKwsVatWzYFmwLljFAMAgHP2r3/9S/fdd59tlpCQoBUrVig2NjbArYCSYxQDAIBzMn78eA0ZMsQ2a9eunZYuXarKlSsHuBVQOoxiAABw1v75z39q5MiRtlmnTp20aNEiVaxYMcCtgNJjFAMAgD9kmqZGjRqlMWPG2Oa33367FixYoAoVKgS4GeAfMU4XAAAAwc00TT388MN69tlnbfM77rhDs2fPVkwMswKhi59eAABwRqZpasiQIZo0aZJtfvfdd2vGjBmKjo4OcDPAvxjFAADAls/n03333aeXXnrJNu/fv7+mTp2qqCjOxkTo46cYAABYFBcXq1+/fmccxPfff79eeuklBjHCBj/JAADgN4qKinT33Xdr5syZtvnQoUP1/PPPyzCMADcDyg6jGAAA/KqwsFDp6emaO3eubf7II48oIyODQYywwznFAABAklRQUKC0tDS9/fbbtvnjjz+uMWPGMIgRlhjFAABAp06dUteuXbV8+XLb/Mknn9Sjjz4a4FZA4DCKAQCIcPn5+ercubNWrVplm2dkZGjYsGEBbgUEFqMYAIAIduLECXXs2FHr1q2zzZ9//nk98MADAW4FBB6jGACACJWXl6f27dvrnXfesc2nTZum/v37B7gV4AxGMQAAEejo0aNq27atPvjgA0tmGIZeeeUV9erVy4FmgDMYxQAARJhDhw4pKSlJ69evt2RRUVGaM2eO7rzzTgeaAc5hFAMAEEEOHDighIQEff7555YsOjpar7/+urp16+ZAM8BZjGIAACLEzz//rPj4eH399deWrFy5cnrzzTfVuXNnB5oBzmMUAwAQAXbv3i23261vv/3WklWoUEELFy5U+/btHWgGBAdGMQAAYe6nn36Sy+XS999/b8kqVqyoJUuWKDEx0YFmQPBgFAMAEMa2bdsml8ulH3/80ZJVrlxZy5cvV1xcnAPNgODCKAYAIEz98MMPiouL008//WTJYmNjlZmZqZtvvtmBZkDwYRQDABCGNm/eLJfLpd27d1uy6tWrKysrS9dff70DzYDgxCgGACDMfPPNN3K73fr5558t2XnnnafVq1fr6quvdqAZELyinC4AAAD854svvlCbNm1sB/H555+vnJwcBjFgg1EMAECY+PTTTxUXF6cDBw5Ysrp16yonJ0dXXnmlA82A4McoBgAgDHz00Udyu906fPiwJatfv748Ho9atmzpQDMgNDCKAQAIce+++64SEhJ09OhRS9awYUPl5uaqefPmDjQDQgejGACAEObxeJScnKy8vDxL1rhxY+Xm5upPf/qTA82A0MIoBgAgRK1evVrt2rXTiRMnLFmTJk2Um5urxo0bB74YEIIYxQAAhKDMzEx16NBB+fn5luzSSy9Vbm6uGjZs6EAzIDQxigEACDFLlixR586ddfr0aUt22WWXyev16oILLnCgGRC6GMUAAISQBQsW6Pbbb1dhYaElu/LKK5WTk6O6des60AwIbYxiAABCxOuvv660tDQVFRVZsquvvlrr1q1T7dq1HWgGhD5GMQAAIeDVV19Venq6fD6fJbv++uu1Zs0a1axZ04FmQHhgFAMAEOSmT5+uXr16yTRNS/bXv/5Vq1atUo0aNRxoBoQPRjEAAEFsypQpuueee2yzuLg4ZWVlqWrVqgFuBYQfRjEAAEFqwoQJuv/++22zxMRELV++XFWqVAlwKyA8MYoBAAhC48aN07Bhw2yz9u3ba8mSJapcuXKAWwHhi1EMAEAQMU1TTzzxhB599FHbvHPnzlq0aJEqVqwY4GZAeItxugAAAPgP0zQ1atQoPfXUU7Z5t27dNHfuXJUrVy7AzYDwxygGACAImKaphx56SM8995xtnp6erlmzZikmhoduoCzwmwUAgMNM09SDDz6oF154wTbv1auXXn75ZUVHRwe4GRA5GMUAADjI5/Pp3nvv1fTp023ze+65Ry+++KKiongZEFCW+A0DAMAhxcXF6tOnzxkH8QMPPKCpU6cyiIEA4LcMAAAHFBUV6a677tKrr75qmw8fPlyTJk2SYRiBLQZEKEYxAAABVlhYqDvuuEOvvfaabf7YY4/pmWeeYRADAcQ5xQAABNDp06eVlpamxYsX2+ZPPPGExowZE+BWABjFAAAEyKlTp5SamqrMzEzbfNy4cRo5cmSAWwGQGMUAAATEyZMn1blzZ61evdo2nzBhgoYMGRLgVgD+D6MYAIAyduLECXXo0EE5OTm2+eTJk3XfffcFuBWA/8YoBgCgDB07dkzt27fXu+++a8kMw9C0adPUr18/B5oB+G+MYgAAysiRI0eUnJysjz76yJIZhqFZs2bprrvucqAZgP/FKAYAoAwcOnRIiYmJ+vTTTy1ZdHS05syZozvuuMOBZgDsMIoBAPCz/fv3KyEhQV988YUli4mJ0bx583T77bc70AzAmTCKAQDwo7179yo+Pl7ffPONJStXrpwWLFigTp06OdAMwO9hFAMA4Ce7du2S2+3W5s2bLVmFChW0aNEitWvXzoFmAP4IoxgAAD/YsWOHXC6XfvjhB0tWqVIlLVmyRAkJCQ40A3A2GMUAAJTSjz/+KJfLpW3btlmyKlWqaPny5WrTpk3AewE4e4xiAABK4fvvv5fL5dJPP/1kyapWraqVK1fqpptucqAZgHPBKAYAoIS+/fZbuVwu7dmzx5JVr15d2dnZuu666xxoBuBcMYoBACiBr7/+Wm63W/v27bNkNWvW1OrVq9WqVSsHmgEoiSinCwAAEGo+//xztWnTxnYQn3/++Vq3bh2DGAgxjGIAAM7B+vXr5XK5dPDgQUtWt25deTweXXnllQ40A1AajGIAAM7Shx9+KLfbrcOHD1uyCy64QF6vV5dddpkDzQCUFqMYAICz8M477yghIUHHjh2zZI0aNVJubq4uvfRSB5oB8AdGMQAAf2DdunVKTk7W8ePHLdnFF18sr9erJk2aONAMgL8wigEA+B2rVq1S+/btdfLkSUvWtGlTeb1eNW7cOPDFAPgVoxgAgDNYsWKFOnTooFOnTlmy5s2by+v1qmHDhg40A+BvjGIAAGy8/fbbuu2221RQUGDJWrZsKY/Ho/r16zvQDEBZYBQDAPA/3nzzTXXt2lWFhYWW7KqrrlJOTo7q1q3rQDMAZYVRDADAf5k7d6569Oih4uJiS9a6dWutXbtW559/vgPNAJQlRjEAAL84ePCgevbsKZ/PZ8luuOEGrVmzRjVr1nSgGYCyVqpRbBhGDcMw3jIM41vDMDYZhnGDv4oBABBI06ZN07Zt22SapiW75ZZblJ2drerVqzvQDEAglPaZ4kmSskzTbC7pSkmbSl8JAIDAeuGFFzRgwADbzOVyKTMzU1WrVg1wKwCBVOJRbBhGNUm3SHpFkkzTLDBN84i/igEAEAgZGRkaNGiQbZaUlKTly5erSpUqAW4FINBK80zxJZL2S5plGMZnhmHMMAyDew0AQMh48skn9dBDD9lmKSkpWrx4sSpVqhTgVgCcYNidO3VWNzSM1pI+lHSTaZofGYYxSdIx0zRH/8/1+kvqL0l169a9ev78+aWsHFqOHz+u2NhYp2ugDHGMIwPHOfzs3r1be/bs+c1lDRo00M6dO1WjRg1dcsklMgzDoXYoS/w+h7+4uLhPTdNsfS63Kc0orifpQ9M0G//y55sljTRNs/2ZbtO6dWtz/fr1Jfp+ocrj8ahNmzZO10AZ4hhHBo5z+DBNU48++qiefvppS5aRkaH169drzpw5KleunAPtEAj8Poc/wzDOeRSX+PQJ0zT3SvrJMIxLf7nILWljSb8eAABlzTRNDRs2zHYQS1KtWrX073//m0EMRKCYUt7+AUmvGYZRXtJWSb1KXwkAAP/z+XwaNGiQpkyZYpv37t1bjRs3VkxMaR8aAYSiUr0lm2man5um2do0zStM0+xsmuZhfxUDAMBffD6fBgwYcMZBfO+99+rll18OcCsAwYRPtAMAhLXi4mL17t37jKP3wQcf1JQpUxQVxUMiEMm4BwAAhK2ioiL17NlTs2fPts1HjBihiRMn8i4TABjFAIDwVFhYqB49euj111+3zUeNGqWnn36aQQxAUulfaAcAQNA5ffq0unXrpqVLl9rm//jHPzR69GjbDEBkYhQDAMLKqVOn1KVLF61cudI2Hz9+vEaMGBHgVgCCHaMYABA2Tp48qU6dOmnNmjW2+cSJEzV48OAAtwIQChjFAICwcPz4cXXo0EEej8c2nzJligYOHBjYUgBCBqMYABDyjh07pnbt2um9996zZIZhaPr06erbt68DzQCECkYxACCkHTlyRElJSfr4448tWVRUlGbNmqWePXs60AxAKGEUAwBC1sGDB5WYmKgNGzZYsujoaM2dO1dpaWkONAMQahjFAICQtG/fPiUkJOjLL7+0ZDExMZo/f75SU1MdaAYgFDGKAQAhZ8+ePYqPj9fGjRstWfny5fXWW2+pQ4cODjQDEKoYxQCAkLJr1y65XC599913lqxChQpavHixkpOTHWgGIJQxigEAIWP79u1yuVzaunWrJatUqZKWLVsmt9vtQDMAoY5RDAAICVu3bpXL5dL27dstWZUqVbRixQrdeuutDjQDEA4YxQCAoLdlyxa5XC7t3LnTklWrVk0rV67UjTfe6EAzAOGCUQwACGqbNm2Sy+XS3r17LVmNGjWUnZ2ta6+91oFmAMIJoxgAELS++uorud1u7d+/35LVrFlTq1evVqtWrRxoBiDcRDldAAAAO5999pni4uJsB3Ht2rXl8XgYxAD8hlEMAAg6n3zyiVwulw4ePGjJ6tWrJ4/Ho8svv9yBZgDCFaMYABBU3n//fcXHx+vIkSOW7MILL5TX61WLFi0caAYgnDGKAQBBIzc3V4mJiTp27Jgla9Sokbxer5o1a+ZAMwDhjlEMAAgKa9euVXJysk6cOGHJLrnkEuXm5qpJkyYONAMQCRjFAADHZWdnKyUlRfn5+ZasWbNm8nq9uuiiixxoBiBSMIoBAI5atmyZOnbsqFOnTlmyFi1ayOPxqEGDBg40AxBJGMUAAMcsWrRIXbp0UUFBgSW7/PLLlZOTo/r16zvQDECkYRQDABwxf/58devWTUVFRZbsL3/5i3JyclSnTh0HmgGIRIxiAEDA/fvf/9add96p4uJiS3qw6SMAACAASURBVHbttddq7dq1qlWrlgPNAEQqRjEAIKBmzpypu+66Sz6fz5LdeOONWr16tc477zwHmgGIZIxiAEDATJ06VX369JFpmpbslltuUXZ2tqpVq+ZAMwCRjlEMAAiISZMmaeDAgbaZ2+1WZmamYmNjA9wKAP6DUQwAKHPPPvusBg8ebJslJydr2bJlqlKlSoBbAcD/xygGAJSpsWPHasSIEbZZx44dtXjxYlWqVCnArQDgtxjFAIAyYZqmxowZo9GjR9vmqampWrBggSpUqBDgZgBgFeN0AQBA+DFNUyNHjtQzzzxjm/fo0UNz5sxRTAwPQwCCA/dGAAC/Mk1TQ4YM0aRJk2zznj17aubMmYqOjg5wMwA4M06fAAD4jc/n03333XfGQdy3b1/NmjWLQQwg6DCKAQB+4fP5dM8992jq1Km2+cCBAzVt2jRFRfHQAyD4cM8EACi14uJi9erVSzNmzLDNhwwZosmTJzOIAQQt7p0AAKVSWFio9PR0zZkzxzZ/+OGH9dxzz8kwjAA3A4CzxygGAJRYQUGB0tLSNH/+fNt8zJgxGjduHIMYQNDj3ScAACVy+vRpde3aVcuWLbPNx44dq8ceeyzArQCgZBjFAIBzlp+fry5duigrK8s2f/bZZzV8+PAAtwKAkmMUAwDOyYkTJ9SpUyetXbvWNp80aZIGDRoU4FYAUDqMYgDAWcvLy1NKSopyc3Nt86lTp2rAgAEBbgUApccoBgCclaNHj6pt27b64IMPLJlhGJoxY4Z69+7tQDMAKD1GMQDgDx0+fFhJSUn65JNPLFlUVJRmz56t9PR0B5oBgH8wigEAv+vAgQNKTEzUZ599Zsmio6P12muvqXv37g40AwD/YRQDAM5o3759io+P11dffWXJypUrpzfeeEO33XabA80AwL8YxQAAW3v27JHb7damTZssWfny5bVw4UKlpKQ40AwA/I9RDACw2Llzp1wul7Zs2WLJKlasqMWLFyspKcmBZgBQNhjFAIDf2L59u1wul7Zu3WrJKleurGXLlsnlcjnQDADKDqMYAPCrH374QS6XSzt27LBksbGxyszM1M033+xAMwAoW4xiAIAkafPmzXK73dq1a5clq1atmrKysnTDDTc40AwAyh6jGACgjRs3yu12a+/evZasRo0aWrVqla655hoHmgFAYDCKASDCffnll4qPj9f+/fstWa1atbRmzRpdddVVDjQDgMCJcroAAMA5GzZsUFxcnO0grlOnjjweD4MYQERgFANAhPr444/ldrt16NAhS1a/fn15vV61bNnSgWYAEHiMYgCIQO+9957i4+N15MgRS9agQQN5vV41b97cgWYA4AxGMQBEGK/Xq6SkJOXl5Vmyiy66SLm5uWratKkDzQDAOYxiAIgga9asUdu2bXXixAlL1qRJE+Xm5uriiy92oBkAOItRDAARYuXKlUpJSVF+fr4lu/TSS+X1etWoUSMHmgGA8xjFABABli5dqs6dO+v06dOWrEWLFvJ4PLrwwgsdaAYAwYFRDABh7q233lJqaqoKCgos2RVXXCGPx6N69eo50AwAggejGADC2Lx585SWlqaioiJL1qpVK61bt061a9d2oBkABBdGMQCEqdmzZys9PV3FxcWW7LrrrtPatWtVq1YtB5oBQPBhFANAGJoxY4Z69eoln89nyW666SatWrVKNWrUcKAZAAQnRjEAhJkpU6aoX79+Mk3TkrVp00ZZWVmqVq2aA80AIHgxigEgjEycOFH333+/bZaQkKAVK1YoNjY2wK0AIPgxigEgTIwfP15Dhw61zdq1a6elS5eqcuXKAW4FAKGBUQwAYeCf//ynRo4caZt16tRJixYtUsWKFQPcCgBCB6MYAEKYaZoaNWqUxowZY5t37dpVCxYsUIUKFQLcDABCS4zTBQAAJWOapkaMGKGMjAzb/I477tDs2bMVE8NdPQD8Ee4pASAEmaapwYMH6/nnn7fN7777bs2YMUPR0dEBbgYAoYnTJwAgxPh8Pg0cOPCMg7h///565ZVXGMQAcA4YxQAQQoqLi9WvXz+99NJLtvn999+vl156SVFR3L0DwLngXhMAQkRRUZHuvvtuzZw50zYfOnSonn/+eRmGEeBmABD6GMUAEAIKCwuVnp6uuXPn2uaPPPKIMjIyGMQAUEK80A4AglxBQYHS0tL09ttv2+aPP/64xowZwyAGgFJgFANAEDt16pS6du2q5cuX2+ZPPfWUHnnkkQC3AoDwwygGgCCVn5+vzp07a9WqVbZ5RkaGhg0bFuBWABCeGMUAEIROnDihDh06KCcnxzZ//vnn9cADDwS4FQCEL0YxAASZvLw8tW/fXu+8845tPm3aNPXv3z/ArQAgvDGKASCIHD16VG3bttUHH3xgyQzD0CuvvKJevXo50AwAwhujGACCxKFDh5SUlKT169dbsqioKM2ZM0d33nmnA80AIPwxigEgCBw4cEAJCQn6/PPPLVl0dLTmzZunrl27OtAMACIDoxgAHPbzzz/L7Xbrm2++sWTlypXTm2++qc6dOzvQDAAiB6MYABy0e/duud1uffvtt5asQoUKWrhwodq3b+9AMwCILIxiAHDITz/9JJfLpe+//96SVaxYUUuWLFFiYqIDzQAg8jCKAcAB27Ztk8vl0o8//mjJKleurOXLlysuLs6BZgAQmRjFABBg33//vVwul3766SdLFhsbq8zMTN18880ONAOAyMUoBoAA2rx5s1wul3bv3m3JqlevrqysLF1//fUONAOAyMYoBoAA+eabb+R2u/Xzzz9bsvPOO0+rV6/W1Vdf7UAzAECU0wUAIBJ88cUXatOmje0gPv/885WTk8MgBgAHMYoBoIx9+umniouL04EDByxZ3bp15fF4dOWVVzrQDADwfxjFAFCGPvzwQ7ndbh0+fNiS1a9fXx6PR5dddpkDzQAA/41RDABl5N1331ViYqKOHj1qyRo2bKjc3Fw1b97cgWYAgP/FKAaAMuDxeJScnKy8vDxL1rhxY+Xm5upPf/qTA80AAHYYxQDgZ6tXr1a7du104sQJS9akSRPl5uaqcePGgS8GADgjRjEA+FFmZqY6dOig/Px8S3bppZcqNzdXDRs2dKAZAOD3MIoBwE+WLFmizp076/Tp05bssssuk9fr1QUXXOBAMwDAH2EUA4AfLFiwQLfffrsKCwst2ZVXXqmcnBzVrVvXgWYAgLPBKAaAUnr99deVlpamoqIiS9a6dWutW7dOtWvXdqAZAOBsMYoBoBReffVVpaeny+fzWbLrr79ea9asUc2aNR1oBgA4F4xiACih6dOnq1evXjJN05L99a9/1apVq1S9enUHmgEAzhWjGABKYPLkybrnnntss7i4OGVlZalq1aoBbgUAKClGMQCcowkTJuiBBx6wzRITE7V8+XJVqVIlwK0AAKXBKAaAczBu3DgNGzbMNmvfvr2WLFmiypUrB7gVAKC0GMUAcJaeeOIJPfroo7bZbbfdpkWLFqlixYoBbgUA8AdGMQD8AdM0tWvXLj3++OO2ebdu3fTGG2+ofPnygS0GAPCbUo9iwzCiDcP4zDCM5f4oBADBxDRNPfTQQ9q7d69tnp6ertdee03lypULcDMAgD/545niByVt8sPXAYCgYpqmHnzwQT333HO2ea9evfTqq68qJiYmwM0AAP5WqlFsGEYDSe0lzfBPHQAIDj6fTwMGDNALL7xgm99zzz2aMWOGoqOjA9wMAFAWDLs3nT/rGxvGW5LGSaoqabhpmik21+kvqb8k1a1b9+r58+eX+PuFouPHjys2NtbpGihDHOPwtG3bNh08ePDXPzdo0EA7d+6UJNWpU0cNGzZ0qhrKEL/PkYHjHP7i4uI+NU2z9bncpsR/52cYRoqkfaZpfmoYRpszXc80zemSpktS69atzTZtznjVsOTxeBRp/82RhmMcXoqKinTXXXfp9ddf/83lGRkZGj58uIYPH66hQ4fKMAyHGqIs8fscGTjOsFOa0yduktTRMIxtkuZLchmGMdcvrQDAAYWFhbrjjjssg/j/PPbYY3rmmWcYxAAQhko8ik3TfMQ0zQamaTaWlCZpnWma6X5rBgABdPr0aXXr1k0LFiywzS+44AKNHTuWQQwAYYqXTAOIeKdOnVJqaqoyMzNt83Hjxql+/foBbgUACCS/fHiHaZoeuxfZAUCwO3nypDp27HjGQTxhwgSNHDkywK0AAIHGM8UAItbx48fVoUMHeTwe23zy5Mm67777AlsKAOAIRjGAiHTs2DG1b99e7777riUzDEPTpk1Tv379HGgGAHACoxhAxDly5IiSk5P10UcfWTLDMDRr1izdddddDjQDADiFUQwgohw6dEiJiYn69NNPLVl0dLTmzJmjO+64w4FmAAAnMYoBRIz9+/crISFBX3zxhSWLiYnRvHnzdPvttzvQDADgNEYxgIiwd+9excfH65tvvrFk5cqV04IFC9SpUycHmgEAggGjGEDY27Vrl9xutzZv3mzJKlSooLfffltt27Z1oBkAIFgwigGEtR07dsjlcumHH36wZJUqVdLSpUsVHx/vQDMAQDBhFAMIWz/++KNcLpe2bdtmyapUqaLly5erTZs2Ae8FAAg+jGIAYen7779XXFycdu7cacmqVq2qlStX6qabbnKgGQAgGDGKAYSdb7/9Vi6XS3v27LFk1atXV3Z2tq677joHmgEAghWjGEBY+frrr+V2u7Vv3z5LVrNmTa1evVqtWrVyoBkAIJgxigGEjc8//1zx8fE6ePCgJTv//PO1du1aXXHFFQ40AwAEuyinCwCAP6xfv14ul8t2ENetW1cej4dBDAA4I0YxgJD3wQcfyO126/Dhw5bsggsukNfr1WWXXeZAMwBAqGAUAwhp77zzjhITE3Xs2DFL1qhRI+Xm5urSSy91oBkAIJQwigGErHXr1ik5OVnHjx+3ZBdffLG8Xq+aNGniQDMAQKhhFAMISdnZ2Wrfvr1OnjxpyZo2bSqv16vGjRsHvhgAICQxigGEnOXLl6tjx446deqUJWvevLm8Xq8aNmzoQDMAQKhiFAMIKW+//ba6dOmigoICS9ayZUt5PB7Vr1/fgWYAgFDGKAYQMt5880117dpVhYWFluyqq65STk6O6tat60AzAECoYxQDCAlz585Vjx49VFxcbMmuueYarVu3Tueff74DzQAA4YBRDCDozZw5Uz179pTP57NkN9xwg1avXq3zzjvPgWYAgHDBKAYQ1KZNm6Y+ffrINE1Ldssttyg7O1vVq1d3oBkAIJwwigEErRdeeEEDBgywzVwulzIzM1W1atUAtwIAhCNGMYCglJGRoUGDBtlmSUlJWr58uapUqRLgVgCAcMUoBhB0nnzyST300EO2WUpKihYvXqxKlSoFuBUAIJwxigEEDdM09fe//12jRo2yzbt06aKFCxeqYsWKAW4GAAh3MU4XAADpP4P40Ucf1dNPP22bp6Wlac6cOSpXrlyAmwEAIgGjGIDjTNPUsGHDNHHiRNv8b3/7m2bNmqXo6OgANwMARApOnwDgKJ/PpwceeOCMg7hPnz4MYgBAmeOZYgCO8fl8uueeezRjxgzb/N5779XkyZMVFcX/vwMAyhaPNAAcUVxcrN69e59xED/44IOaMmUKgxgAEBA82gAIuKKiIvXs2VOzZ8+2zUeMGKGJEyfKMIwANwMARCpGMYCAKiwsVI8ePfT666/b5qNHj9bTTz/NIAYABBTnFAMImNOnT6tbt25aunSpbf6Pf/xDo0ePDnArAAAYxQACJD8/X6mpqVq5cqVtPn78eI0YMSLArQAA+A9GMYAyd/LkSXXq1Elr1qyxzSdOnKjBgwcHuBUAAP8foxhAmTp+/Lg6dOggj8djm7/44ou69957A1sKAID/wSgGUGaOHTumdu3a6b333rNkhmHo5ZdfVp8+fRxoBgDAbzGKAZSJw4cPKzk5WR9//LEli4qK0qxZs9SzZ08HmgEAYMUoBuB3Bw8eVGJiojZs2GDJoqOjNXfuXKWlpTnQDAAAe4xiAH61b98+JSQk6Msvv7RkMTExmj9/vlJTUx1oBgDAmTGKAfjNnj17FB8fr40bN1qy8uXL66233lKHDh0caAYAwO9jFAPwi127dsnlcum7776zZBUqVNDixYuVnJzsQDMAAP4YoxhAqW3fvl0ul0tbt261ZJUqVdKyZcvkdrsdaAYAwNlhFAMola1bt8rlcmn79u2WrEqVKlqxYoVuvfVWB5oBAHD2GMUASmzLli1yuVzauXOnJatWrZpWrlypG2+80YFmAACcG0YxgBLZtGmTXC6X9u7da8lq1Kih7OxsXXvttQ40AwDg3DGKAZyzr776Sm63W/v377dkNWvW1OrVq9WqVSsHmgEAUDJRThcAEFo+++wzxcXF2Q7i2rVry+PxMIgBACGHUQzgrH3yySdyuVw6ePCgJatXr548Ho8uv/xyB5oBAFA6jGIAZ+X9999XfHy8jhw5YskuvPBCeb1etWjRwoFmAACUHqMYwB/Kzc1VYmKijh07ZskaNWqk3NxcNWvWzIFmAAD4B6MYwO9au3atkpOTdeLECUt2ySWXKDc3V5dccokDzQAA8B9GMYAzysrKUkpKivLz8y1Zs2bN5PV6ddFFFznQDAAA/2IUA7C1bNkyderUSadOnbJkLVq0kMfjUYMGDRxoBgCA/zGKAVgsWrRIXbp0UUFBgSW7/PLLlZOTo/r16zvQDACAssEoBvAb8+fPV7du3VRUVGTJ/vKXvygnJ0d16tRxoBkAAGWHUQzgV3PmzNGdd96p4uJiS3bttddq7dq1qlWrlgPNAAAoW4xiAJKkV155RXfffbd8Pp8lu/HGG7V69Wqdd955DjQDAKDsMYoBaOrUqerbt69M07Rkt956q7Kzs1WtWjUHmgEAEBiMYiDCTZo0SQMHDrTN4uPjlZmZqdjY2AC3AgAgsBjFQAR75plnNHjwYNssOTlZS5cuVeXKlQPcCgCAwGMUAxFq7Nixevjhh22zjh07avHixapUqVKAWwEA4AxGMRBhTNPUmDFjNHr0aNs8NTVVCxYsUIUKFQLcDAAA58Q4XQBA4JimqZEjR+qZZ56xzXv06KE5c+YoJoa7BgBAZOGRD4gQpmlqyJAhmjRpkm3es2dPzZw5U9HR0QFuBgCA8zh9AogAPp9P99133xkHcd++fTVr1iwGMQAgYjGKgTDn8/nUv39/TZ061TYfOHCgpk2bpqgo7g4AAJGLR0EgjBUXF6tXr1565ZVXbPMhQ4Zo8uTJDGIAQMTjkRAIU4WFhUpPT9ecOXNs84cffljPPfecDMMIcDMAAIIPoxgIQwUFBUpLS9P8+fNt8zFjxmjcuHEMYgAAfsG7TwBh5vTp0+ratauWLVtmm48dO1aPPfZYgFsBABDcGMVAGMnPz1eXLl2UlZVlmz/77LMaPnx4gFsBABD8GMVAmDhx4oQ6deqktWvX2uaTJk3SoEGDAtwKAIDQwCgGwkBeXp5SUlKUm5trm0+dOlUDBgwIcCsAAEIHoxgIcUePHlXbtm31wQcfWDLDMDRjxgz17t3bgWYAAIQORjEQwg4fPqykpCR98sknliwqKkqzZ89Wenq6A80AAAgtjGIgRB04cECJiYn67LPPLFl0dLRee+01de/e3YFmAACEHkYxEIL27dun+Ph4ffXVV5asXLlyeuONN3Tbbbc50AwAgNDEKAZCzJ49e+R2u7Vp0yZLVr58eS1cuFApKSkONAMAIHQxioEQsnPnTrlcLm3ZssWSVaxYUYsXL1ZSUpIDzQAACG2MYiBEbNu2TS6XSz/++KMlq1y5spYtWyaXy+VAMwAAQh+jGAgBP/zwg1wul3bs2GHJYmNjlZmZqZtvvtmBZgAAhAdGMRDkNm/eLLfbrV27dlmyatWqKSsrSzfccIMDzQAACB+MYiCIbdy4US6XSz///LMlq1GjhlatWqVrrrnGgWYAAISXKKcLALD35Zdfqk2bNraDuFatWsrJyWEQAwDgJ4xiIAht2LBBcXFx2r9/vyWrU6eOPB6PrrrqKgeaAQAQnhjFQJD5+OOP5Xa7dejQIUtWv359eb1etWzZ0oFmAACEL0YxEETee+89xcfH68iRI5asQYMG8nq9at68uQPNAAAIb4xiIEh4PB4lJSUpLy/Pkl100UXKzc1V06ZNHWgGAED4YxQDQWDNmjVq166dTpw4YcmaNGmi3NxcXXzxxQ40AwAgMjCKAYetXLlSKSkpys/Pt2SXXnqpvF6vGjVq5EAzAAAiB6MYcNDSpUvVuXNnnT592pK1aNFCHo9HF154oQPNAACILIxiwCFvvfWWUlNTVVBQYMmuuOIKeTwe1atXz4FmAABEHkYx4IB58+YpLS1NRUVFlqxVq1Zat26dateu7UAzAAAiE6MYCLDZs2crPT1dxcXFluy6667T2rVrVatWLQeaAQAQuRjFQADNmDFDvXr1ks/ns2R//etftWrVKtWoUcOBZgAARDZGMRAgU6ZMUb9+/WSapiVr06aNVq5cqWrVqjnQDAAAMIqBAJg4caLuv/9+2ywhIUErVqxQbGxsgFsBAID/wygGytj48eM1dOhQ26xdu3ZaunSpKleuHOBWAADgvzGKgTL0z3/+UyNHjrTNOnXqpEWLFqlixYoBbgUAAP4XoxgoA6ZpatSoURozZoxt3rVrVy1YsEAVKlQIcDMAAGAnxukCQLgxTVMjRoxQRkaGbX7HHXdo9uzZionh1w8AgGDBozLgR6ZpavDgwXr++edt87vvvlszZsxQdHR0gJsBAIDfw+kTgJ/4fD4NHDjwjIO4f//+euWVVxjEAAAEIUYx4AfFxcXq16+fXnrpJdv8/vvv10svvaSoKH7lAAAIRjxCA35w9913a+bMmbbZ0KFD9fzzz8swjAC3AgAAZ4tRDJRCYWGhtm7dqrlz59rmjzzyiDIyMhjEAAAEuRKPYsMwGhqGkWMYxibDML4xDONBfxYDgl1BQYG6d++uw4cP2+aPP/64nnzySQYxAAAhoDTPFBdJGmaa5p8lXS/pPsMwWvinFhDcTp06pdTUVL399tu2+VNPPaW///3vDGIAAEJEid+SzTTNPZL2/PLveYZhbJJ0oaSNfuoGBKX8/Hx17txZq1atss2fe+65M36sczgwTVPFxcW8zzIAIKwYpmmW/osYRmNJuZJamqZ57H+y/pL6S1LdunWvnj9/fqm/Xyg5fvy4YmNjna4BP/H5fPr++++Vl5f362UNGjTQzp07JUmNGjVS7dq1napXZkzTVF5eno4ePaqioiI1btw44p4F53c5MnCcIwPHOfzFxcV9appm63O5TalHsWEYsZK8kp40TXPR7123devW5vr160v1/UKNx+NRmzZtnK4BP8jLy1P79u31zjvv/ObyjIwMDR8+XNOmTVP//v0daud/O3bs0IoVK5SZmam1a9cqPz9fjRs31kcffaQ6deo4XS/g+F2ODBznyMBxDn+GYZzzKC7V338ahlFO0kJJr/3RIAZC2dGjR5WcnKwPP/zQNp85c6Z69eoV4Fb+VVRUpA8++EArVqzQihUr9PXXX/8mr1atmlasWBGRgxgAEP5KPIqN//zd6SuSNpmmOcF/lYDgcujQISUlJcnubzmioqJ08cUXq0uXLg40K70DBw4oKytLK1asUHZ29hnfSSM6OloLFixQixa8lhYAEJ5K80zxTZL+JukrwzA+/+WyR03TzCx9LSA4HDhwQAkJCfr8888tWXR0tObNm6eaNWs60KxkTNPU559//uuzwR999JHO5hSqF154QYmJiQFoCACAM0rz7hPvSoqsV9ogovz8889yu9365ptvLFm5cuX05ptvqnPnzvJ4PIEvdw6OHz+uNWvW/Hp+8O7du8/p9g8++KDuvffeMmoHAEBw4D2VABu7d++W2+3Wt99+a8n+X3v3H99zvf9//P7cRkOopJX8SsR3ISThCJvZhXbmyM81P/M25uJXRDm66JRy6uxCHBFmk+N0opISh5zZWKTyI/mxd4XoBykSye8fe37/oD6ds/d7zPb+sb1u13+y9/P5er3u5/JK5+6xl72uu+46vfXWW4qLiwtAsquze/fu30pwdna2zp07d03niYuL05QpU4o4HQAAwYdSDPyPb7/9VtHR0dqzZ0+etfDwcC1dujSoHyV4++231bdvX504caJQ52nYsKEWLlyo0NDQIkoGAEDwKswb7YAS56uvvlKbNm08FuKyZctqxYoVQV2IJemhhx7Srl271KdPn2s+R0REhJYtW6by5csXYTIAAIIXpRi4bM+ePWrdurX27duXZ+3666/XqlWrFBUVFYBkBXfbbbdpwYIF+uCDD9SkSZMCHRseHq53331X1atX91E6AACCD6UYkPT555+rTZs2+vbbb/OsVaxYURkZGWrVqlUAkhVO/fr1dd999xXomH/+859q1qyZjxIBABCceKYYjpeTk6N27drphx9+yLN24403KiMjQ/fee28AkhXOypUrNXjwYI9F35u//vWv6tatmw9TAQAQnJgUw9G2bdumtm3beizEN998s9asWVPsCvGPP/6oPn366MEHHyxQIe7Xr5/GjRvnw2QAAAQvJsVwrC1btqh9+/Ye3+IWERGhzMxM3X333QFIdm2stXrzzTc1bNgwHT58uEDHtm7dWqmpqbr0okoAAJyHSTEc6aOPPlK7du08FuIqVaooOzu7WBXi7777Tg899JB69uzptRCHh4crMTExz+e1a9fWkiVLVLp0aV/HBAAgaFGK4Tjr169X+/bt9fPPP+dZq1atmrKzs1W3bt0AJCs4a63S09MVGRmppUuXet3XunVrbd++Xc8888x/fX7DDTdo+fLlqlSpkq+jAgAQ1Hh8Ao6ydu1axcXF6dSpU3nWatasqTVr1qhmzZr+D3YN9u7dq6SkJGVlZXndU758eaWkpGjQMNGmoQAAG+5JREFUoEEKCQnRmTNnflsLCwvTkiVLis0fAAAA8CUmxXCMjIwMPfjggx4Lce3atfX+++8Xi0J88eJFTZs2TQ0aNMi3EMfFxSknJ0fJyckKCbn0Wz08PFyVK1eWJM2ePbvY/NxlAAB8jUkxHGHFihXq0qWLzp49m2etbt26ysrKUpUqVQKQrGBycnLkcrn08ccfe91TqVIlTZ8+XQ8//LDHvzhXrVo19e/fXy6Xy5dRAQAoVijFKPHeeecd9ejRQ+fPn8+zdvfddyszM1MREREBSHb1zp07pxdeeEHPPfecx/8dv0pISND06dN/mwZ7Mnz4cPXt29cXMQEAKLYoxSjR3nzzTSUmJurChQt51u655x5lZGTkWyCDwaZNm+RyubRjxw6ve6pUqaJZs2apU6dOVzxf//79izAdAAAlA88Uo8R67bXXlJCQ4LEQN23aVFlZWUFdiE+dOqWxY8eqefPm+RbipKQkud3uqyrEAADAMybFKJHmz5+vAQMGyFqbZ6158+Z67733VLFixQAkuzpr165VUlKS9uzZ43VPrVq1NHfuXEVHR/sxGQAAJROTYpQ4qampeuSRRzwW4latWuk///lP0Bbin3/+WcnJyYqKivJaiENCQjR69Gjt2LGDQgwAQBFhUowSZcaMGRo+fLjHtaioKC1btkzlypXzc6qrs3z5ciUnJ+vAgQNe99x9991KT0/X/fff78dkAACUfEyKUWK8+OKLXgtxbGysli9fHpSF+PDhw0pMTFR8fLzXQlyqVCk9/fTT+uSTTyjEAAD4AJNilAjPP/+8xo8f73EtLi5OixcvVnh4uJ9T5c9aq0WLFmnEiBH68ccfve5r1qyZ0tPTVb9+fT+mAwDAWZgUo1iz1uqZZ57xWogfeughLVmyJOgK8f79+9WpUyclJiZ6LcRlypTRlClTtGHDBgoxAAA+xqQYxZa1Vk8++aSef/55j+s9evTQq6++qlKlSvk5mXe5ublKS0vT2LFjdfz4ca/7oqKiNHfuXN15551+TAcAgHNRilEsWWs1duxYTZkyxeN679699corrygsLHj+Fd+zZ4+SkpK0du1ar3sqVKigyZMna+DAgR5f0QwAAHyDxydQ7FhrNXLkSK+F+JFHHtH8+fODphBfuHBBkydPVoMGDfItxPHx8XK73UpKSqIQAwDgZ8HRGoCrlJubqyFDhig1NdXjenJysmbOnKmQkOD4896OHTvkcrm0adMmr3sqV66sl156ST169KAMAwAQIMHRHICrcPHiRblcLq+FeMSIEXr55ZeDohCfPXtWf/nLX9SkSZN8C3GvXr3kdrvVs2dPCjEAAAHEpBjFwoULF9SvXz+99tprHtfHjBmjlJSUoCiWH3/8sVwul3JycrzuqVq1qmbPnq24uDg/JgMAAN4EfqQGXMH58+eVmJjotRA/+eSTQVGIT548qdGjR6tFixb5FuLk5GTl5ORQiAEACCJMihHUzp49q4SEBL3zzjse1ydOnKgJEyb4OVVemZmZSkpK0r59+7zuqV27ttLS0tSmTRs/JgMAAFeDSTGC1pkzZ9SlSxevhfiFF14IeCE+duyYvv76a8XExHgtxCEhIRo7dqy2bdtGIQYAIEhRihGUTp06pU6dOmnFihUe11988UU98cQTfk7135YuXarIyMh8X9HcoEEDffzxx0pJSVHZsmX9mA4AABQEpRhB58SJE4qLi1NGRobH9RkzZmjUqFF+TvV/Dh06pISEBHXu3FkHDx70uKd06dJ69tlntXnzZjVt2tTPCQEAQEHxTDGCyvHjxxUXF6f169fnWTPGaM6cOUpKSgpAsksvDfnXv/6lkSNH6qeffvK6r3nz5kpPT1dkZKQf0wEAgMJgUoygcezYMcXGxnosxCEhIXrllVcCVoi/+eYbxcXFqU+fPl4LcdmyZTVt2jStX7+eQgwAQDHDpBhB4aefflJsbKy2bNmSZy00NFQLFixQYmKi33Pl5uZqzpw5evzxx3XixAmv+9q1a6fU1FTVqlXLj+kAAEBRoRQj4A4fPqyYmBht3749z1pYWJgWLlyobt26+T3Xrl27NHDgQK1bt87rnooVK6pmzZrKyMgI+M9JBgAA147HJxBQ33//vdq2beuxEJcqVUqLFy/2eyG+cOGCUlJSdM899+RbiDt37iy3261KlSpRiAEAKOaYFCNgDhw4oHbt2umLL77Is3bdddfp7bffVseOHf2aadu2bRowYIA++eQTr3tuueUWzZgxQ926dZMxRrt27fJjQgAA4AtMihEQ33zzjdq0aeOxEJcpU0bLly/3ayE+e/asJkyYoKZNm+ZbiPv27Su3263u3bszHQYAoARhUgy/27dvn6Kjo/XVV1/lWStXrpz+/e9/+/XNbxs2bJDL5dLnn3/udU+1atU0Z84cv0+uAQCAfzAphl/t3r1brVu39liIy5cvr1WrVvmtEJ84cUIjR45Uq1at8i3EQ4cOVU5ODoUYAIASjEkx/Obzzz9XdHS0x7fAVaxYUatWrdL999/vlywZGRkaNGiQx3L+qzp16ig9PV0PPPCAXzIBAIDAYVIMv9i5c6fatGnjsRDfdNNNysrK8kshPnr0qAYMGKDY2FivhTg0NFTjxo3Ttm3bKMQAADgEk2L43KeffqqYmBgdOXIkz9rNN9+szMxMNWzY0Oc5lixZoqFDh+r777/3uqdRo0ZKT09XkyZNfJ4HAAAEDybF8KnNmzcrOjraYyGOiIjQ2rVrfV6Iv//+e3Xr1k1du3b1WohLly6tSZMmaePGjRRiAAAciEkxfObDDz9Uhw4ddPz48TxrVapUUVZWlurWreuz61trtWDBAo0aNUpHjx71uq9ly5ZKT09XvXr1fJYFAAAENybF8Il169YpNjbWYyGuXr263n//fZ8W4q+//lodO3ZU//79vRbicuXKafr06Vq3bh2FGAAAh2NSjCKXlZWl+Ph4nTp1Ks/aHXfcoTVr1qhGjRo+uXZubq5efvlljRs3TidPnvS6r3379kpNTVXNmjV9kgMAABQvlGIUqVWrVqlz5846c+ZMnrU6deooKytLVatW9cm1v/jiC7lcLn3wwQde99x4442aOnWq+vbtyxvpAADAb3h8AkVm+fLl6tSpk8dCXK9ePWVnZ/ukEJ8/f17PP/+87rnnnnwLcdeuXeV2u9WvXz8KMQAA+C9MilEk3n77bfXs2VPnz5/Ps1a/fn2tXr1aERERRX7drVu3asCAAfr000+97omIiNDMmTPVtWvXIr8+AAAoGZgUo9DeeOMNde/e3WMhbtSokdasWVPkhfjMmTP685//rPvuuy/fQty/f3+53W4KMQAAyBeTYhTKq6++qn79+ik3NzfP2n333adVq1bpxhtvLNJrrl+/Xi6XS7t27fK6p0aNGkpNTVVsbGyRXhsAAJRMTIpxzebNm6e+fft6LMQtWrRQRkZGkRbiX375RcOGDdMDDzzgtRAbYzR8+HDt3LmTQgwAAK4ak2Jckzlz5ig5OdnjWuvWrbV8+XKVL1++yK733nvvafDgwfrmm2+87qlXr57S0tL0hz/8ociuCwAAnIFJMQrspZde8lqIo6OjtWLFiiIrxEeOHFG/fv3UsWNHr4U4NDRUTz75pLZu3UohBgAA14RJMQpk8uTJGjt2rMe1Dh06aMmSJSpTpkyhr2Ot1VtvvaWhQ4fq0KFDXvc1btxY8+bNU6NGjQp9TQAA4FxMinHVJk2a5LUQx8fH65133imSQnzw4EF17dpV3bt391qIr7vuOr3wwgvauHEjhRgAABQak2JckbVWTz/9tCZOnOhxvUuXLlq4cKFKly5d6OvMnz9fo0eP1rFjx7zua9WqldLS0lS3bt1CXQ8AAOBXTIqRL2utxo8f77UQJyQkaNGiRYUuxPv27VNsbKwGDBjgtRBff/31mjlzprKzsynEAACgSDEphlfWWj322GOaOnWqx/U+ffrolVdeUWho6DVf4+LFi5oxY4bGjx+vU6dOed3XoUMHzZkzR9WrV7/mawEAAHhDKYZHubm5GjFihGbOnOlx3eVyac6cOYUqxG63WwMHDtSHH37odc9NN92kadOmqXfv3jLGXPO1AAAA8sPjE8gjNzdXgwcP9lqIhwwZotTU1GsuxOfPn9dzzz2nxo0b51uIe/ToIbfbrT59+lCIAQCATzEpxn+5ePGiXC6X/vGPf3hcHzlypKZOnXrNJXXLli0aMGCAtm/f7nXPrbfeqlmzZqlz587XdA0AAICCYlKM31y4cEF9+vTxWogff/zxay7Ep0+f1hNPPKFmzZrlW4hdLpfcbjeFGAAA+BWTYki69EhDYmKiFi9e7HF9woQJeuaZZ66pEGdnZyspKUm7d+/2uqdmzZqaO3euYmJiCnx+AACAwmJSDJ09e1bdunXzWognTpyoiRMnFrgQHz9+XEOGDFHbtm29FmJjjB599FHt3LmTQgwAAAKGSbHDnT59Wl27dtXKlSs9rv/tb3/T448/XuDzrlixQoMHD9b+/fu97omMjFRaWppatGhR4PMDAAAUJSbFDnbq1Cl16tTJayGeOnVqgQvxjz/+qN69eysuLs5rIQ4LC9OECRP0ySefUIgBAEBQYFLsUCdOnFB8fLzWrl3rcf3ll1/WkCFDrvp81lq98cYbGj58uA4fPux137333qt58+apYcOGBY0MAADgM0yKHej48ePq0KGDx0JsjFFaWlqBCvGBAwfUuXNnJSQkeC3E4eHhSklJ0UcffUQhBgAAQYdJscMcPXpUHTp00MaNG/OshYSEaP78+erTp89Vnctaq7S0NI0ZM0bHjx/3uq9169ZKS0tTnTp1rjk3AACAL1GKHeTIkSNq3769tm7dmmctNDRUr776qhISEq7qXF9++aWSkpK0Zs0ar3vKly+vlJQUDRo0SCEhfFMCAAAEL5qKQxw6dEhRUVEeC3FYWJhef/31qyrEFy9e1IsvvqgGDRrkW4jj4uKUk5Oj5ORkCjEAAAh6TIod4ODBg4qJiZHb7c6zVrp0aS1evFjx8fFXPM/OnTvlcrk8Pnrxq0qVKmn69Ol6+OGHr/lV0AAAAP7GCK+EO3DggNq2beuxEIeHh2vp0qVXLMTnzp3TM888oyZNmuRbiBMSEvTZZ58pMTGRQgwAAIoVJsUl2Ndff63o6Gjt3bs3z1qZMmW0bNkytWvXLt9zbNy4US6XSzt37vS6p0qVKpo1a5Y6depU6MwAAACBwKS4hNq7d6/atGnjsRCXK1dOK1euzLcQnzp1SmPGjFGLFi3yLcRJSUlyu90UYgAAUKwxKS6Bdu/erejoaI9vlKtQoYJWrlypli1bej1+zZo1GjhwoMdC/atatWpp7ty5io6OLpLMAAAAgcSkuIT57LPP1Lp1a4+F+IYbbtDq1au9FuKff/5ZgwcP9vrIhXTpZxk/9thj2rFjB4UYAACUGEyKS5AdO3aoXbt2Ht8qd9NNN2n16tVq3Lixx2OXLVum5ORkfffdd17PX79+faWnp6tZs2ZFlhkAACAYMCkuIbZu3aqoqCiPhbhy5cpau3atx0J8+PBhJSYmqlOnTl4LcalSpfT0009ry5YtFGIAAFAiMSkuATZt2qTY2FgdO3Ysz9qtt96qzMxMRUZG/tfn1lotXLhQI0aM0JEjR7yeu1mzZkpPT1f9+vWLPDcAAECwYFJczG3YsEExMTEeC/Htt9+u7OzsPIX422+/VXx8vHr16uW1EJcpU0ZTpkzRhg0bKMQAAKDEY1JcjL3//vt68MEHdfLkyTxrNWrUUFZWlmrVqvXbZ7m5uZo7d67Gjh2rX375xet5o6KiNHfuXN15550+yQ0AABBsKMXFVGZmpuLj43X69Ok8a7Vq1VJWVpZq1Kjx22e7d+9WUlKSsrOzvZ6zQoUKmjx5sgYOHMgb6QAAgKPw+EQx9N577+mPf/yjx0J81113KTs7+7dCfOHCBU2ePFkNGzbMtxDHx8fL7XYrKSmJQgwAAByHSXExs2zZMnXr1k3nzp3LsxYZGanVq1frtttukyRt375dLpdLmzdv9nq+ypUr66WXXlKPHj0owwAAwLGYFBcjS5YsUZcuXTwW4gYNGmjNmjW67bbbdPbsWT311FO699578y3EvXr1ktvtVs+ePSnEAADA0ZgUFxOLFi1S7969dfHixTxrjRs3VkZGhipVqqSPPvpILpdLbrfb67mqVq2q2bNnKy4uzpeRAQAAig0mxcXAggUL1KtXL4+FuFmzZsrMzFR4eLhGjRqlli1b5luIk5OTlZOTQyEGAAD4HSbFQS49PV1JSUmy1uZZa9mypVauXKlNmzYpKSlJ+/bt83qe2rVrKy0tTW3atPFlXAAAgGKJSXEQmzVrlgYOHOixELdp00avv/66Ro8erZiYGK+FOCQkRGPHjtW2bdsoxAAAAF4wKQ5Sf//73/Xoo496XIuJidHAgQPVrFkzHTx40Os5GjRooHnz5qlp06a+igkAAFAiMCkOQikpKV4LcXR0tCpUqKCEhASvhbh06dJ69tlntXnzZgoxAADAVWBSHGSeffZZPfXUUx7XGjdurK1bt+ro0aNej2/evLnS09MVGRnpq4gAAAAlDpPiIGGt1YQJE7wW4oiIiHwLcdmyZTVt2jStX7+eQgwAAFBATIqDgLVW48aNU0pKisf1sLAw/fDDD16Pb9eunVJTU1WrVi1fRQQAACjRmBQHmLVWo0aN8lqIJenChQseP69YsaLS09OVkZFBIQYAACgEJsUBlJubq2HDhmnWrFkFPrZz586aOXOmqlSp4oNkAAAAzkIpDpDc3FwNGjRI6enpBTrulltu0YwZM9StWzcZY3yUDgAAwFl4fCIALl68qEceeaTAhbhv375yu93q3r07hRgAAKAIMSn2s/Pnz6tv375atGjRVR9TrVo1zZkzRx07dvRhMgAAAOdiUuxH586dU0JCQoEK8dChQ5WTk0MhBgAA8CEmxX5y9uxZde/eXcuWLbuq/XfddZfS0tL0wAMP+DgZAAAAmBT7wenTp9W5c+erKsShoaEaN26ctm3bRiEGAADwEybFPpabm6v4+HhlZmZecW+jRo2Unp6uJk2a+CEZAAAAfsWk2Id++eUX7dq164qFuHTp0po0aZI2btxIIQYAAAiAQpViY0wHY8wXxpg9xphxRRWqJDh27JgaN26skydP5ruvZcuW2rZtm8aPH69SpUr5KR0AAAB+75pLsTEmVNJMSR0lRUp62BgTWVTBijNrrZo0aaIvv/zS655y5cpp+vTpWrdunerVq+fHdAAAAPhfhZkUN5O0x1q711p7TtIiSX8qmljFmzFGkyZN8roeGxurnTt3avjw4QoJ4QkWAACAQDPW2ms70JhukjpYawde/rqPpPuttcP+Z98gSYMkKSIi4t6C/Ize4u7AgQMKCwvT/v37JUkhISGqXr26KlWqFOBkKEonTpzQ9ddfH+gY8DHuszNwn52B+1zyRUVFbbHWNi3IMYX56ROe3jOcp2Fba1MlpUpS06ZNbdu2bQtxyeJn9uzZGjNmjFq2bKm33npLt956a6AjoYitXbtWTvv32om4z87AfXYG7jM8Kcz37vdLqva7r6tK+q5wcUqe2rVrKz09XR988AGFGAAAIEgVphRvklTHGHOHMaa0pARJ7xZNrJIjLCxMAwYMCHQMAAAA5OOaH5+w1l4wxgyTtEpSqKR51tqcIksGAAAA+Emh3mhnrV0haUURZQEAAAACgp8HBgAAAMejFAMAAMDxKMUAAABwPEoxAAAAHI9SDAAAAMejFAMAAMDxKMUAAABwPEoxAAAAHI9SDAAAAMejFAMAAMDxKMUAAABwPEoxAAAAHI9SDAAAAMejFAMAAMDxKMUAAABwPEoxAAAAHI9SDAAAAMejFAMAAMDxKMUAAABwPEoxAAAAHI9SDAAAAMejFAMAAMDxKMUAAABwPEo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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "soa = np.array([[0, 0, 3, 2], [0, 0, 9, 9]])\n", "X, Y, U, V = zip(*soa)\n", "fig, ax = plt.subplots(figsize = (12, 12))\n", "ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', scale=1) \n", "# always use angles = 'xy', scale_units='xy', scale=1, they are a package\n", "# which means to plot vectors in the x-y plane, with u and v having the same units\n", "ax.set_xlim([-1, 10])\n", "ax.set_ylim([-1, 10])\n", "#plt.draw()\n", "ax.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('