{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# matplotlib - 2D and 3D plotting in Python" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# This line configures matplotlib to show figures embedded in the notebook, \n", "# instead of opening a new window for each figure. More about that later. \n", "# If you are using an old version of IPython, try using '%pylab inline' instead.\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$ formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, EPS, and PGF.\n", "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n", "\n", "One of the key features of matplotlib that I would like to emphasize, and that I think makes matplotlib highly suitable for generating figures for scientific publications is that all aspects of the figure can be controlled *programmatically*. This is important for reproducibility and convenient when one needs to regenerate the figure with updated data or change its appearance. \n", "\n", "More information at the Matplotlib web page: http://matplotlib.org/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get started using Matplotlib in a Python program, either include the symbols from the `pylab` module (the easy way):" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or import the `matplotlib.pyplot` module under the name `plt` (the tidy way):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MATLAB-like API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The easiest way to get started with plotting using matplotlib is often to use the MATLAB-like API provided by matplotlib. \n", "\n", "It is designed to be compatible with MATLAB's plotting functions, so it is easy to get started with if you are familiar with MATLAB.\n", "\n", "To use this API from matplotlib, we need to include the symbols in the `pylab` module: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple figure with MATLAB-like plotting API:" ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 5, 10)\n", "y = x ** 2" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 382 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "plt.figure()\n", "plt.plot(x, y, 'k')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('First title')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 257, "width": 380 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig1, axes = plt.subplots(1,2)\n", "types = ['r--', 'g*-']\n", "xs = [[x,y], [y,x]]\n", "for i in range(0,2):\n", " axes[i].plot(xs[0][i], xs[1][i], types[i])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the plotting related functions in MATLAB are covered by the `pylab` module. For example, subplot and color/symbol selection:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 248, "width": 368 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "subplot(1,2,1)\n", "plot(x, y, 'r--')\n", "subplot(1,2,2)\n", "plot(y, x, 'g*-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The good thing about the pylab MATLAB-style API is that it is easy to get started with if you are familiar with MATLAB, and it has a minumum of coding overhead for simple plots. \n", "\n", "However, I'd encourrage not using the MATLAB compatible API for anything but the simplest figures.\n", "\n", "Instead, I recommend learning and using matplotlib's object-oriented plotting API. It is remarkably powerful. For advanced figures with subplots, insets and other components it is very nice to work with. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The matplotlib object-oriented API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main idea with object-oriented programming is to have objects that one can apply functions and actions on, and no object or program states should be global (such as the MATLAB-like API). The real advantage of this approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n", "\n", "To use the object-oriented API we start out very much like in the previous example, but instead of creating a new global figure instance we store a reference to the newly created figure instance in the `fig` variable, and from it we create a new axis instance `axes` using the `add_axes` method in the `Figure` class instance `fig`:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 290, "width": 395 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "\n", "axes.plot(x, y, 'r')\n", "\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although a little bit more code is involved, the advantage is that we now have full control of where the plot axes are placed, and we can easily add more than one axis to the figure:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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XNRw7doz9+/e7VW65p89JRETKjWPHoFcvyJ79btYMpkxx+kaEgND4KUXKicqVK5OcnMy///1vAFJSUjh16hQA7du3JzzcmSScNWtWqdWQffUoW0gTvbJ4jZIcX1afk4iIyAVlZsIf/gDbtjnjKlVgzhyIjXW3rjKkICFSSrIXBBcke8G1tTZnv6pVq9KnTx/AuWTshc7/z8jI4OTJk8WqK/tqUsePHy/W8f54jZIcX1afk4iIyAWNHg2ffOIdT57sXO41hChIiJSSK664gr/+9a988803OWHBWsvXX3/N4MGDAejQoQPVq1fPOeb5558nLi6Offv2kZiYyOzZszlz5kzO89kdtFu1asXq1auLVdfll18OwNSpU0nPvs51MV9j1qxZnDhxotjHz58/v8iXx82tLD4nERGRQs2ZA2PHesfDh4PnS65QoiAhUkoOHjzIc889x9VXX02lSpW45JJLiIyM5JprruGHH36gRo0aTJo0Kc8x8fHxzJ8/n7p167Jt2zbuuOMOqlSpQo0aNYiKiqJZs2YMHTqULVu2YIrZ3Ob+++8HYPr06cTGxlK/fn3i4+NJTk4u8mvcfffdRERE8NVXX1GjRg3q1atHfHw8119/fZGO7927N3FxcWzevJnLLruMOnXqEB8fT3x8fJGOL4vPSUREpEAbN0K/ft5xt255Q0UIUZAQKSVz587liSeeoGPHjtStW5eTJ08SERFBmzZtGD58OOvWraNNmzbnHdehQwc2btzICy+8QGJiIlWrVuX48eNER0fTvn17hg0bxjfffEOnTp2KVVfXrl2ZPXs2nTp1Ijo6mj179rBz506fFi63bNmSzz//nO7duxMbG8v+/fvZuXMnu3fvLtLxNWrUYNGiRdxxxx3UrFmTQ4cOsXPnTnbu3FnkGkr7cxIRETlPaqqzuPqXX5xxo0YwdSoE+RUTC2NKsuBSwBiT0q5du3YpKSlulyIiIiIipSUryzl9ac4cZxwdDStWgOcy7oEqISGBb7/99ltrbYKvx2pGQkRERETkYp591hsiACZNCvgQUVIKEiIiIiIiF/LJJzBqlHc8dCj8/vfu1VNOKEiIiIiIiBRmyxYnNGQvB+jcGf72N1dLKi8UJERERERECnLyJPTuDdl9jy67DD74ADyNUUOdgoSIiIiISH7Wwv33w9q1zjgyEmbNgksvdbeuckRBQkREREQkv5degg8/9I4nToQOHdyrpxxSkBARERERye2LL2DYMO940CC491736imnFCRERERERLLt2AHJyU7fCIDERBg3ztWSyisFCRERERERgNOn4Y474MgRZ1ynDsyYARER7tZVTmnJuZRL8fHxpKam0qhRI7dLESmS7du3ExMTw44dO9wuRUREisNaGDgQvvvOGVes6ISIOnXcrascU5CQcik1NZX09HS3yxApMv15FREJcBMmwLvvesevvOKc1iSFUpCQcil7JiIlJcXlSkSKJiEhwe0SRESkuL780ulWne2++5zZCbkgrZEQERERkdC1Zw8kJUFGhjPu0MGZnTDG3boCgIKEiIiIiISmM2egTx84eNAZ16wJM2dCVJS7dQUIBQkRERERCU2DB8OqVc7jsDCnAV39+u7WFEAUJEREREQk9LzxhnPL9uKL0Lmza+UEIi22FvHR/PnzCQ8Pp169ejRp0oQIXVtaREQksKxcCY8+6h3//vfw2GPu1ROgFCREfPToo4+ydetWANavX0+rVq1crkhERESKbP9+Z13E2bPO+KqrnJkJLa72mU5tEvGBtZY9e/bkjOvVq+diNSIiIuKTc+fgzjth715nHBcHs2dDpUru1hWgFCREfHDs2LGcxmNVqlQhJibG5YpERESkyP70J6dnBECFCjB1Knh6V4nvFCREfLB79+6cx5qNEBERCSDvvguvvuodP/ssdOvmXj1BQEFCxAc6rUlERCQAffstPPSQd5yUBH/5i3v1BAkFCREfKEiIiIgEmMOHoXdv8JyaTOvW8NZbWlztBwoSIj5QkBAREQkgGRmQnAy7djnjmBhncXXVqu7WFSQUJER8oCAhIiISQJ54AhYs8I7/8x9o3ty9eoKMgoSIDxQkREREAsQHHzjdqrONHg233upaOcFIQULEB7mDxGWXXeZiJSIiIlKoH3+E++7zjm+7DZ580r16gpSChIgPNCMhIiJSzh075iyuTktzxs2bw5QpTt8I8St9oiJFlJ6ezuHDhwEICwujVq1aLlckIiIieWRmwh/+AFu3OuMqVZzF1bGx7tYVpBQkRIpo7969OY9r165NWFiYi9WIiIjIeUaPhk8+8Y4nT3Yu9yqlQkFCpIh0WpOIiEg5NmcOjB3rHT/xBPTp4149IUBBQqSIFCRERETKqY0boV8/7/iWW2DMGPfqCREKEiJFpCAhIiJSDqWmQq9e8MsvzrhRI3j/fdApyKVOQUKkiBQkREREypmsLLjnHti0yRlHRzuLq+Pi3K0rRChIiBSRgoSIiEg58+yzztqIbJMmwVVXuVdPiFGQECkiBQkREZFy5JNPYNQo73joUPj9792rJwQpSIgUkYKEiIhIObFlixMarHXGnTvD3/7makmhSEFCpAiysrLy9JFQkBAREXHJyZNO5+rjx51x/frwwQcQHu5uXSFIQUKkCA4fPszZs2cBiI2NpUqVKi5XJCIiEoKshfvvh7VrnXFkJMyaBZde6m5dIUpBQqQIdFqTiIhIOfDSS/Dhh97xxInQvr179YQ4BQmRIlCQEBERcdkXX8CwYd7xww/Dvfe6V48oSIgUhYKEiIiIi3bsgORkp28EQMeO8I9/uFqSKEiIFImChIiIiEtOn4Y77oAjR5xxnTowfTpERLhblyhIiBSFgoSIiIgLrIWBA+G775xxxYowY4YTJsR1ChLCkSNHmDRpEr1796Zp06ZER0cTGxvL9ddfz5tvvklW9jRiPsuXL6dHjx7ExcVRqVIl2rRpw7hx48jMzCzjn6D0KUiIiIi4YMIEePdd73j8eEhMdK8eyUMX3BWmT5/OoEGDqFOnDl26dKFBgwYcOHCAWbNmMWDAAD755BOmT5+OMSbnmLlz59KnTx+ioqLo27cvcXFxfPTRRwwdOpRly5Yxffp0F38i/1OQEBERKWNfful0q852333w0EPu1SPnUZAQmjdvzrx58/if//kfKlTwTlI9++yzXH311cycOZNZs2bRp08fAFJTU3nggQcICwtj8eLFtPdcdm3MmDF07dqVGTNmMG3aNJKTk135eUqDgoSIiEgZ2rMHkpIgI8MZd+jgzE7k+lJT3KdTm4SuXbty22235QkRALVr12bgwIEALF68OGf7jBkzOHToEMnJyTkhAiAqKoqxY8cCMHHixNIvvIykpaVx7NgxAMLDw7lUTW9ERERKz5kz0KcPHDzojGvWhJkzISrK3brkPAoSckEVK1YEnF+gsy1cuBCA7t27n7f/jTfeSKVKlVi+fDlnzpwpmyJLWe7ZiLp1654XuERERMSPBg+GVaucx2FhzhWa6td3tyYpkE5tkkJlZGTwrmeBU+7QsGnTJsA5JSq/8PBwGjVqxLp169i2bRutWrW64HskJCQUuH3Dhg0XPbas6LQmERGRMvLGG84t24svQqdO7tUjF6SvVqVQw4cPZ+3atfTo0YNbbrklZ/uJEycAiI2NLfC47O3Hjx8v/SLLgIKEiIhIGVi5Eh591Dv+wx/gscfcq0cuSjMSUqDx48fz0ksv0bJlS6ZMmeLTsdZagDxXeSpMSkpKgdsLm6lww88//5zzWEFCRESkFOzf76yLOHvWGbdtC//+txZXl3MBNSNhjLnEGDPAGDPbGLPFGHPaGHPCGPOVMeZ+Y0yBP48xJtEY87Ex5qgxJs0Y84Mx5nFjTFhZ/wyBYMKECTz22GO0bt2aRYsWERcXl+f57BmH7JmJ/FJTU/PsF+h27dqV87hhw4YuViIiIhKEzp2DO++EvXudcVwczJoFlSq5W5dcVEAFCeC3wBvANcAqYBwwE7gCmAR8aPJ9DW6M6QksBW4EZgMTgAjgH8C0Mqs8QIwbN45HH32UK664gkWLFlG7du3z9mnRogUAmzdvPu+5jIwMtm/fTnh4OI0bNy71esvCzp07cx4rSIiIiPjZn/7k9IwAqFABpk6FRo3crUmKJNCCxGbgduAya+0frLVPWGvvA1oCPwN9gDuydzbGxOAEj0ygs7X2fmvtn4G2wAogyRgTPM0OSuiFF15g6NChtG3blkWLFhV6mdOuXbsCMH/+/POeW7p0KWlpaSQmJhIZGVmq9ZYVBQkREZFS8u678Oqr3vGzz0K3bu7VIz4JqCBhrV1orf3IWpuVb/t+4J+eYedcTyUBNYFp1trVufZPB0Z6hoNKr+LAMWbMGIYPH05CQgILFiygRo0ahe6blJREjRo1mDZtGqtX53yspKenM3Kk87EOGhQcH6u1Nk+QaNCggYvViIiIBJFvv83bqTopCf7yF/fqEZ8F02Lrc577jFzbunruz//q3DndKQ1INMZEWmuDo+lBMbzzzjuMGjWKsLAwbrjhBsaPH3/ePvHx8fTv3x+AmJgY3njjDZKSkujcuTPJycnExcUxb948Nm3aRFJSEn379i3jn6J0HD9+nJMnTwIQHR19wYAlIiIiRXT4MPTuDenpzrh1a3jrLS2uDjBBESSMMeFAP88wd2ho4bk/72R+a22GMWY7cDnQGNhwkfco+PJCzmlVAW379u0AZGZmMm7cuAL36dSpU06QAOjVqxdLlizhmWeeYebMmaSnp9O0aVNefvllhgwZUqQrNgWC/Kc1BcvPJSIi4pqMDEhOhuyLmcTGwpw5ULWqu3WJz4IiSADP4yy4/tha+2mu7dmXDSr48kLe7dVKq7BAMHr0aEaPHu3zcR07duTjjz/2f0HliNZHiIiI+NkTT8CCBd7xe+9Bs2bu1SPFFvBBwhgzBPgTsBG429fDPff2YjtaawtsbOCZqWjn4/tKgMh96VetjxARESmhDz5wulVnGz0abr3VtXKkZAJqsXV+xphHgFeA9UAXa+3RfLtkzzgU1tAgJt9+InloRkJERMRPfvgB7rvPO77tNnjySffqkRIL2CBhjHkceA1YixMi9hew2ybPffMCjg8HGuEszt5WWnVKYFOQEBER8YNdu+A3v4G0NGfcvDlMmeL0jZCAFZD/9Ywxw3Aayn2PEyIOFrLrQs999wKeuxGoBCwP5Ss2yYWpq7WIiEgJHTkCt9zi7VxdtSrMnu0sspaAFnBBwhjzJM7i6hTgJmvt4QvsPgM4DCQbY9rneo0oYKxnOLG0apXApx4SIiIiJZCW5pzCtHGjM46IgLlzncu9SsALqMXWxph7gP/F6VT9JTCkgMtx7rDWTgaw1qYaYx7ACRSLjTHTgKM43bFbeLZ/UDbVS6BJT0/nwIEDAISFhVGvXj2XKxIREQkg2Zd5XbHCGRvjnM7UpYu7dYnfBFSQwFnTABAGPF7IPkuAydkDa+0cY0wnYATQB4gCtgB/BMZbay96xSYJTblPa6pXrx7h4YH210VERMQl1sLAgfDRR95tr7wCd97pXk3idwH1m5G1djQwuhjHLQN6+LseCW5aHyEiIlJMTz0Fb77pHQ8fDoMHu1ePlIqAWyMhUla0PkJERKQYJk6EMWO843vugWefda8eKTUKEiKF0KVfRUREfDRrFjzyiHf8m9/AG2846yMk6ChIiBRCQUJERMQHS5fC73/vrI8AuPpqmD4dKlZ0ty4pNQoSIoXIvUZCpzaJiIhcwI8/wu23wxlPa67mzeG//4XKld2tS0qVgoRIITQjISIiUgS7dkH37nDihDOuXRvmz4caNdytS0qdgoRIATIzM/n5559zxpqREBERKUD+rtUxMU6IaNTowsdJUFCQECnA/v37ycjIAKBGjRpU1tSsiIhIXgV1rZ4zB666yt26pMwoSIgUQJd+FRERuQB1rRYUJEQKpPURIiIihVDXavFQkBApgIKEiIhIIdS1WjwUJEQKkPvSrwoSIiIiHupaLbkoSIgUQGskRERE8lHXaslHQUKkADq1SUREJJclS9S1Ws6jICGSj7WWHTt25IwVJEREJKT9+CP07Kmu1XIeBQmRfA4cOMCpU6cAiImJ4aQVDzwAACAASURBVJJLLnG5IhEREZeoa7VcgIKESD5bt27Nedy0aVOMzv0UEZFQlL9rddWq8Mkn6lotORQkRPLJHSSaNGniYiUiIiIuKahr9dy50Latu3VJuaIgIZLPli1bch43bdrUxUpERERckJEBffuqa7VclIKESD6akRARkZCV3bX6//7Pu01dq6UQChIi+WhGQkREQpa6VosPFCRE8tGMhIiIhCR1rRYfKUiI5HL8+HGOHDkCQFRUFHXr1nW5IhERkTKgrtVSDAoSIrnkno1o3LgxFSror4iIiAQ5da2WYtJvSSK55O8hISIiEtTUtVpKQEFCJJfcC621PkJERILazp3qWi0loiARJDIyMtwuIShoobWIiISEI0ecEKGu1VICChLl3IMPPkh6evoF99m+fTvXX399GVUU3HTpVxERCXrqWi1+oiBRzk2aNImrr76ajdl/2fOZMWMG7dq145tvvinjyoKTZiRERCSoqWu1+JGCRDk3YsQI1q9fT/v27Xn77bdztp89e5aHH36Yvn37EhYWxuzZs12sMjicPn2aPXv2ABAWFkbDhg1drkhERMSPCupaPW6culZLsSlIlHNjxozh008/pWrVqgwYMIC7776b1atXc/XVV/PPf/6TxMREvv/+e26//Xa3Sw1427Zty3ncsGFDKuqydyIiEkxGjTq/a/WQIe7VIwFPQSIA3HTTTaxZs4abb76Z999/n2uuuYZ169YxcuRIlixZwmWXXeZ2iUFBl34VEZGg9frrMHasd6yu1eIH4W4XIEVTpUoVatasifU0i4mNjeXGG29UwzQ/0qVfRUQkKM2aBY8+6h2ra7X4iX4LDQBr1qyhXbt2TJ06lVtuuYV//vOfnD17lu7duzNixAiysrLcLjEoaEZCRESCTv6u1R06qGu1+I2CRDk3YcIErrvuOrZt28azzz7LJ598woMPPkhKSgpt2rTh+eef54YbbmDXrl1ulxrwNCMhIiJBJX/X6mbN1LVa/EpBopwbPHgwl156KUuWLGHYsGE525s1a8bKlSt5+OGHWbFiBb/61a9crDI4aEZCRESCRkFdqz/9FGrWdLcuCSoKEuVcz549+e6777juuuvOey4iIoJXX32VWbNmuVBZcDl37hw7d+7MGTdu3NjFakREREpAXauljGixdTlXlP4QvXr1IiEhoQyqCV67du0iIyMDgLp16xIdHe1yRSIiIsWgrtVShjQjESTq16/vdgkBTac1iYhIwFPXailjChIiwE8//ZTzWAutRUQk4KhrtbhAQUIEWL9+fc7jVq1auViJiIhIMahrtbhAQUIAmDFjBoMHD+aGG24gJiYGYwx33XXXBY9Zvnw5PXr0IC4ujkqVKtGmTRvGjRtHZmZmGVXtP7mDROvWrV2sRERExEf5u1b366eu1VImtNhaABg7dixr1qyhSpUqXHbZZWzMXqRViLlz59KnTx+ioqLo27cvcXFxfPTRRwwdOpRly5Yxffr0MqrcPzZs2JDzWEFCREQCxsyZ53etnjRJXaulTGhGQgD4xz/+webNm0lNTWXixIkX3Dc1NZUHHniAsLAwFi9ezJtvvsnf//53vv/+e6677jpmzJjBtGnTyqjykjty5AgHDhwAIDo6moYNG7pckYiISBGoa7W4TEFCAOjSpQvNmjXDFOEbjBkzZnDo0CGSk5Np3759zvaoqCjGeqZWLxZGypPcsxEtW7akQgX9tRARkXIuu2v12bPOWF2rxQX6jUl8tnDhQgC6d+9+3nM33ngjlSpVYvny5Zw5c6asSysWrY8QEZGAoq7VUk5ojYT4bNOmTQA0b978vOfCw8Np1KgR69atY9u2bRe9AlJhjfQ2bNhQZldPUpAQEZGAoa7VUo5oRkJ8dsLzDUhsbGyBz2dvP378eJnVVBIKEiIiEhDS0uDWW/N2rZ4zR12rxTWakRC/s55FX0VZb5GSklLg9sJmKkqDgoSIiJR72V2rV650xtldq7t2dbcuCWmakRCfZc84ZM9M5Jeamppnv/LsxIkT7NmzB4CIiAgaN27sckUiIiL5qGu1lFMKEuKzFi1aALB58+bznsvIyGD79u2Eh4cHxC/lua/Y1Lx5c8LDNUknIiLljLpWSzmlICE+6+qZRp0/f/55zy1dupS0tDQSExOJjIws69J8ptOaRESkXFPXainHFCTEZ0lJSdSoUYNp06axevXqnO3p6emMHDkSgEGDBrlVnk/U0VpERMotda2Wck7ncQgAc+bMYc6cOQDs378fgBUrVtC/f38AatSowYsvvghATEwMb7zxBklJSXTu3Jnk5GTi4uKYN28emzZtIikpib59+7ryc/hKMxIiIlIuqWu1BAAFCQHg+++/55133smzbdu2bWzbtg2Ahg0b5gQJgF69erFkyRKeeeYZZs6cSXp6Ok2bNuXll19myJAhRbpiU3mgICEiIuWOulZLgFCQEABGjx7N6NGjfTqmY8eOfPzxx6VTUBk4deoUO3bsACAsLIxmzZq5W5CIiIi6VksA0RoJCVkbsxv6AM2aNSMiIsLFakREJOSpa7UEGAUJCVk6rUlERMoNda2WAKQgISErd5Bo1aqVi5WIiEhIU9dqCVAKEhKyNCMhIiKusxYeekhdqyUgKUhIyFq3bl3OYwUJERFxxahR8NZb3vGwYepaLQFDQUJC0okTJ9i6dSsA4eHhtGzZ0uWKREQk5BTUtfq559yrR8RHChISkr777rucx5dffjlRUVEuViMiIiFHXaslCChISEhavXp1zuOEhAQXKxERkZCjrtUSJBQkJCSlpKTkPG7fvr2LlYiISEhR12oJIgoSEpJyBwnNSIiISJlQ12oJMgoSEnJOnDjBTz/9BDgLrdu0aeNyRSIiEvTUtVqCkIKEhBwttBYRkTKVv2t1xYrqWi1BQUFCQo4WWouISJlR12oJYgEXJIwxScaYV40xXxpjUo0x1hjzXiH7xnueL+w2razrF/dpobWIiJSJwrpW9+3rXk0ifhTudgHFMBK4CjgJ7AaK0klsDTCngO1r/ViXBAgttBYRkTKhrtUS5AIxSAzFCRBbgE7AoiIc8721dnRpFiWBQQutRUSkTKhrtYSAgAsS1tqc4GDU/VF8pIXWIiJS6t59N2/X6u7d1bVaglLABYliqmuMeQi4BDgCrLDW/uByTeICLbQWEZFS9a9/wcCB3rG6VksQC5Ug8WvPLYcxZjFwj7V2V1FewBiTUshTRVmjIeWEFlqLiEipGTcOhg71jtu0cbpWV6niXk0ipSjgrtrkozRgDJAAVPfcstdVdAYWGGPUkz6EaKG1iIiUiueeyxsi2reHRYvUtVqCWlDPSFhrDwKj8m1eaozpBnwFXAMMAF4pwmsV+FunZ6aiXQlLlTKghdZSVNZaDqcdZs8ve9iTuofdqbtzHl9V+yqGXKOrroiIh7XO1ZlyL6xOTISPP4bYWPfqEikDQR0kCmOtzTDGTMIJEjdShCAhgU8LrQXgTMYZ9v6yN0842PPLnjyP9/6yl7OZZws8vkezHgoSIuKwFv78Z3jpJe+2Ll1g3jydziQhISSDhMchz71ObQoRy5Yty3ms9RHBx1rL0dNH84aDAkLC4bTDJXqfPal7/FSxiAS0rCwYPNi5zGu27t1h1iyIjnavLpEyFMpB4lrP/TZXq5Ays3DhwpzHnTt3dq8Q8dm5zHPs/WXvRUNCeka6394zNjKWejH1qFe1nve+aj2axDXx23uISIDKzIQHH8zbbK5XL5g2DSIj3atLpIwFdZAwxlwDfGetPZtve1ecxnYA75V5YVLm0tPTWb58ec64S5cuLlYj+Z06e4qdJ3ay8/hOdp7Yya4Tu/KM9/6ylyyb5Zf3qmAqUKdKnTzhIHdguCzmMupWrUuVCJ2WICIFOHcO7rkHpk71bktOdnpH6BKvEmICLkgYY3oBvTzD2p7764wxkz2PD1tr/5/n8QvA5Z5Lve72bGsDdPU8ftJa6/3tUoLWypUrSU93vq1u3rw59erVc7mi0JG9cPlCQeHo6aN+ea/KFStzWcxlhYaEelXrUatKLcIrBNz/+kSkPDh71gkNs2d7t/Xv7zSbCwtzrSwRtwTiv6ZtgXvybWvsuQHsBLKDxBSgN9AB+A1QETgAfAi8Zq39stSrlXIh92lNXbt2vcCe4quMrAz2pO4pNCjsOrGL0xmnS/w+tSrXumhIiImMUcd7ESkdp09DUpJzNaZsgwbBa69BhWC/mr5IwQIuSFhrRwOji7jvm8CbpVmPBAYFieKz1rL/5H62HtvKlqNb2Hp0K9uPb88JCnt+2VPi044qVqhI/dj6NIxtSMNqDWkQ04CG1RrSMLYhDWIbUD+2PlHhusqWiLjk1Cm4/XbI9W8JQ4c6V2vSlxcSwgIuSIj46uTJk6xatSpnrIXW58vIyuDnEz/nCQtbjjn3W49tJe1cWolev2pE1ZxgkB0OcsbVGlK7Sm0qGH2jJyLlUGoq9OgBua78x4gRMGaMQoSEPAUJCXpfffUVGRkZALRp04aaIdplND0jne3HtucJC9mPdxzfwbmsc8V+7dpVansDQvasQq7H1aKq+fEnEREpI0ePOpd0/eYb77axY50gISIKEhL8Qum0ppNnT7Ll6BbvrMLRLTlhYXfqbiy2WK9bLaoaTao3oWlcU5pUb0Lj6o2Jrxav045EJHgdOgS//jWsWePd9vLLzilNIgIoSEgIWLRoUc7jYAkSx04fY8PhDaw/tJ71h9bnPN51YlexX7N2ldp5wkLTuKY0iXPu46Lj/Fi9iEg5t28f3HQTbNjg3TZxIgwc6F5NIuWQgoQEtWPHjvHtt98CUKFCBW688UaXK/LNoVOHzgsL6w+tZ9/JfT6/VgVTgQaxDQoMC42rN1bfBBERgF27nBCxZYszrlAB3nzTucyriOShICFBbenSpWRlOVcUSkhIIDY21uWKzmetZd/JfWw45A0K6w8794fTDvv0WuEVwnMCQv6wEF8tnoiwiFL6KUREgsDWrU6I2LnTGYeFwXvvOb0jROQ8ChIS1Mrb+ojT507zw4EfSNmXwnf7vmPdoXWsP7SeE2dO+PQ6kWGRtKzRktY1W+e5NanehIph6qwqIuKzjRudELF3rzOuWBE+/BB69brwcSIhTEFCgpa1ls8++yxnXNZBIndoSNmbwup9q1l3cB2ZNrPIr1GpYiVa12xNqxqt8gSGRtUaEVZBXVRFRPzixx/h5pvh4EFnHBXldK/u3t3dukTKOQUJCVpr1qxh48aNAFSqVImOHTuW2nuVNDTERMY4IaFG3hmG+rH11V9BRKQ0paRAt27OpV4BKleGefOgHMxii5R3ChIStKZMmZLzuHfv3lSuXNkvr5uekc6a/WuKHRqaX9KchDoJJNRJoE2tNrSu2Zq6Veti1NhIRKRsLV8Ov/mN03QOICYGPv4YSvGLJ5FgoiAhQSkzM5P3338/Z3zXXXcV+7XOZZ5j9d7VLNy+kIU7FrL85+WkZ6QX6djcoaF93fb8qs6viImMKXYtIiLiJ4sXw623wqlTzrh6dfjsM2jf3tWyRAKJgoQEpYULF7J//34ALr30Um6++eYiH5tls1izf01OcFi6cyknz5686HEKDSIiAeLTT51F1OmeL4Vq1oQvvoA2bdytSyTAKEhIUHrvvfdyHv/ud78jPLzwP+rWWjYc3uAEh+0LWbxjMcfSj13w9ZvGNaVD3Q4KDSIigWbuXLjzTjh71hnXqQMLFkCrVu7WJRKAFCQk6Jw6dYpZs2bljO++++7z9knPSOe/m//LzA0zWbh9IQdOHbjgazaIbcBNjW6ia6OudInvQr2Yen6vW0REStkHH8Bdd0FGhjNu0MAJEU2buluXSIBSkJCgM3fuXE6edE5FatmyJe3atQOcU5a+3Pkl7/3wHtPXT79g74ZalWvRtVHXnFujao20GFpEJJC98w7cdx94mpTSpIkTIho2dLcukQCmICFBJ/dpTXfddRcbDm9gypop/OfH//Bz6s8FHlM9qjpdGnWha3xXujTqQqsarRQcRESCxb/+BQMHesctWzohom5d92oSCQIKEhJUDhw4kKcJ3fu8z8jXRxa4b+Pqjbnryrvo2bInbWu3Vb8GEZFgNG4cDB3qHbdpA59/Dpde6l5NIkFCQUKCytNjnyYz09PPoQGsz1if5/m46Dj6Xt6Xu9rcxXWXXadZBxGRYPbcc/DXv3rH7ds7V2yKi3OvJpEgoiAhQcFay99m/Y2JEyZ6N17j3EWGRXJ7i9u5q81ddG/anYiwCHeKFBGRsmEtjBoFY8d6tyUmOs3mYmPdq0skyOhcDimR3bt3c99991G3bl0iIyOJj4/n8ccf59ixC18+1Z/WHVxH13e6MvyPw8F6NjaCDr/uwKTbJnHg/x3gw99+yO0tbleIEBEJdtbCn/+cN0R06eLMRChEiPiVZiSk2LZu3UpiYiIHDx6kZ8+etGzZkq+//ppXXnmF+fPns2zZMi655JJSe/8sm8XIhSP5+/K/k/FdBuzyPFEBnn/5ef7S8y86dUlEJJRkZcHgwfD6695t3bvDrFkQHe1eXSJBSjMSUmwPP/wwBw8eZPz48cyZM4fnn3+ehQsXMnToUDZt2sSIESNK9f0nfD2B5756joy0DPCur2bIY0MY1muYQoSISCjJzIQHHsgbInr1gjlzFCJESomChBTLtm3b+Oyzz4iPj+eRRx7J89zTTz9N5cqVmTJlCqdOnSqV9z+efpzRS0bDEeBDwPM29erVY+zTYy9wpIiIBJ1z5+Duu+Gtt7zbkpPhww8hMtK9ukSCnIKEFMvChQsB6NatGxUq5P1jVLVqVTp27EhaWhorV64slfcf+X8jOTrrKEwAtnm3v/TSS1StWrVU3lNERMqhs2ehb1+YOtW7rX9/eO89qFjRtbJEQoHWSEixbNq0CYDmzZsX+HyzZs347LPP2Lx5MzfddFOhr5OQkFDg9g0bNtCqVasCn/vfv/8vE0ZNgPS82wcPHsydd95ZhOpFRCQonD4NSUnO1ZiyDRoEr70GFfRdqUhp098yKZYTJ04AEFvIFTCytx8/ftzv7z3zu5l5QsQNN9zAqlWrGD9+vNZFiIiEilOn4NZb84aIoUNhwgSFCJEyohkJKRXWOtdhvdgv9ikpKQVuL2ymAuCt597i+k+vJ510nn3+WYYPGK4AISISSlJToUcPWLbMu23ECBgzBvTvgUiZUZCQYsmecciemcgvNTU1z37+lNAwge+WfcepKqdIuKzwwCEiIkHo6FHnkq7ffOPdNnasEyREpEwpSEixtGjRAoDNmzcX+PxPP/0EFL6GoqRatmxZKq8rIiLl2KFD8Otfw5o13m0vv+yc0iQiZc5vJxEaYy7112tJ+delSxcAPvvsM7KysvI898svv7Bs2TKio6O59tpr3ShPRESCzb590KlT3hAxcaJChIiL/Lka6WdjzAfGmK5+fE0pp5o0aUK3bt3YsWMHEyZMyPPcU089xalTp+jXrx+VK1d2qUIREQkau3bBjTfChg3OuEIFmDwZBg50tSyRUOfPU5s2A78FkowxW4F/AZOttUf8+B5Sjrz++uskJiYyZMgQFixYQKtWrVi1ahWLFi2iefPmPPPMM26XKCIigW7rVrjpJti50xmHhcF//uP0jhARV/ktSFhrrzTGJAIP4gSKvwNjjTGzgH9Za5f6672kfGjSpAmrV69m1KhRzJ8/n48//pg6deowZMgQnnrqKeLi4or92tu3byc9Pf2CV28SKU82bNhAVFSU22WIBJeNG50QsXevM65Y0elW3auXu3WJCODnxdbW2uXAcmPMY0A/nFDxOyDZGLMZ+CfwrrX2mD/fV9xTv3593n77bb+/bkxMzAWf3+CZ3i6saZ0Ep/L83z0qKuqif25FxAc//gg33wwHDzrjqCiYPdu5YpOIlAulctUma+0J4FXgVc8sxQPAncDLwHPGmA+B16y1q0vj/SXw7dix44LPZ89UFNaHQoKT/ruLhIiUFOjWzbnUK0DlyjBvHnTVMkyR8qQsWj8eAY7h9CI2QATObMUqY8wcY0zxz38RERGR4LJ8uRMYskNETAx8+qlChEg5VCpBwhhT0RiTbIxZBKwHHgcOAX8EagBdgU+B24EJhb6QiIiIhI7Fi52ZCE9TU6pXhwULoGNHV8sSkYL59dQmY0xTnHUR/YFLgExgDvC6tXZBrl0XA4uNMTMAnewoIiIS6j791FlEnZ7ujGvWhC++gDZt3K1LRArltyBhjPkC6IJz+tJeYAzwb2vt3gsclgL09lcNIiIiEoDmzoU774SzZ51xnTrOTEQ5vLCCiHj5c0aiK7AIeB2YY63NLMIxH+GEDhEREQlFH34If/gDZGQ44wYNnBDRtKm7dYnIRfkzSLSy1m7y5QBr7VpgrR9rkBChq/aEJv13Fwky774L994LWVnOuEkTJ0Q0bOhuXSJSJH5bbO1riBAREZEQ9q9/wT33eENEy5awdKlChEgAKYvLv4qIiIh4jRsHAwd6x23awJIlULeuezWJiM8UJERERKTsPPccDB3qHbdvD4sWwaWXuleTiBSLgoSIiIiUPmvhySfhr3/1bktMdC7xGqfetCKByK99JERERETOYy38+c/w0kvebV26wLx5UKWKe3WJSIkoSIiIiEjpycqCwYPh9de927p3h1mzIDravbpEpMQUJERERKR0ZGbCgw/CW295t/XqBdOmQWSke3WJiF8oSIiIiIj/nTvnXN516lTvtuRkp3dExYru1SUifqPF1hJQdu/ezX333UfdunWJjIwkPj6exx9/nGPHjrldmpTAkSNHmDRpEr1796Zp06ZER0cTGxvL9ddfz5tvvklW9nXm81m+fDk9evQgLi6OSpUq0aZNG8aNG0dmZmYZ/wQiksfZs9C3b94Q0b8/vPeeQoRIENGMhASMrVu3kpiYyMGDB+nZsyctW7bk66+/5pVXXmH+/PksW7aMSy65xO0ypRimT5/OoEGDqFOnDl26dKFBgwYcOHCAWbNmMWDAAD755BOmT5+OMSbnmLlz59KnTx+ioqLo27cvcXFxfPTRRwwdOpRly5Yxffp0F38ikRB2+jQkJcHHH3u3DRoEr70GFfT9pUhQsdbqVoIbkNKuXTsrpa9bt24WsOPHj8+zfejQoRawDz30kEuVSUktWLDAzps3z2ZmZubZvm/fPlu/fn0L2BkzZuRsP3HihK1Zs6aNiIiw33zzTc7206dP2+uuu84CdurUqWVWv4h4nDxpbdeu1jrXaXJuf/yjtVlZblcmIoVo166dBVJsMX4P1lcDEhC2bdvGZ599Rnx8PI888kie555++mkqV67MlClTOHXqlEsVSkl07dqV2267jQr5vq2sXbs2Az3dbxcvXpyzfcaMGRw6dIjk5GTat2+fsz0qKoqxY8cCMHHixNIvXES8UlPhlltg4ULvthEj4MUXIddsoogEDwUJCQgLPf8wdevW7bxfNqtWrUrHjh1JS0tj5cqVbpQnpaii53zq8HDvmZjZfx66d+9+3v433ngjlSpVYvny5Zw5c6ZsihQJdUePws03w7Jl3m1jxzo3hQiRoKUgIQFh06ZNADRv3rzA55s1awbA5s2by6wmKX0ZGRm8++67QN7QcKE/D+Hh4TRq1IiMjAy2bdtWNoWKhLJDh6BrV/jmG++2l192ZiNEJKhpsbUEhBMnTgAQGxtb4PPZ248fP15mNUnpGz58OGvXrqVHjx7ccsstOdv150GknNi2DW69FTZs8G6bOBE8pySKSHDTjIQEBessfM9zVR8JbOPHj+ell16iZcuWTJkyxadj9edBpAwsWAAdOnhDRIUKMHmyQoRICFGQkICQ/Q1z9jfR+aWmpubZTwLbhAkTeOyxx2jdujWLFi0iLi4uz/P68yDiImvhlVechdVHjzrbIiLg/fedBnQiEjIUJCQgtGjRAih8DcRPP/0EFL6GQgLHuHHjePTRR7niiitYtGgRtWvXPm+fC/15yMjIYPv27YSHh9O4ceNSr1ckpJw5A/ffD48/DtmNH+vUgaVLnQZ0IhJSFCQkIHTp0gWAzz777Lwux7/88gvLli0jOjqaa6+91o3yxE9eeOEFhg4dStu2bVm0aBGXXnppgft17doVgPnz55/33NKlS0lLSyMxMZHIyMhSrVckpOzbB507w9tve7ddfTWsXg3XXONaWSLiHgUJCQhNmjShW7du7NixgwkTJuR57qmnnuLUqVP069ePypUru1ShlNSYMWMYPnw4CQkJLFiwgBo1ahS6b1JSEjVq1GDatGmsXr06Z3t6ejojR44EYNCgQaVes0jI+OYbZz1E7kts9+sHS5ZA3bru1SUirjLZixKleIwxKe3atWuXkpLidilBb+vWrSQmJnLw4EF69uxJq1atWLVqFYsWLaJ58+YsX76cSy65xO0ypRjeeecd+vfvT1hYGIMHDy5wbUN8fDz9+/fPGc+ZM4ekpCSioqJITk4mLi6OefPmsWnTJpKSkvjwww+12FrEH957DwYMcE5rAmdR9YsvOqc36e+YSMBLSEjg22+//dZam+Drsbr8qwSMJk2asHr1akaNGsX8+fP5+OOPqVOnDkOGDOGpp546b0GuBI7t27cDkJmZybhx4wrcp1OnTnmCRK9evViyZAnPPPMMM2fOJD09naZNm/Lyyy8zZMgQhQiRksrMhOHDndCQrVo1+OAD6NbNvbpEpNzQjEQJaUZCRESCzrFj8Lvfwaefere1agVz54KnAaiIBIeSzEhojYSIiIh4bdzoLJ7OHSJuu81ZH6EQISK5KEiIiIiI47//dUKE55LaAIwYAXPmQEyMe3WJSLmkICEiIhLqrIXnn3dmHjwNHYmOdtZDjB3rLLAWEclHi61FRERCWVqa02Ru2jTvtgYNnPUQbdu6V5eIlHsKEiIiIqFq1y7o1Qu++8677YYbYMYMKKQhpIhItoCbqzTG4EyEMQAAHuNJREFUJBljXjXGfGmMSTXGWGPMexc5JtEY87Ex5qgxJs0Y84Mx5nFjTFhZ1S0iIlKufPWV02Qud4h46CH44guFCBEpkkCckRgJXAWcBHYDLS+0szGmJzATSAc+AI4CtwH/ADoCvy3NYkVERMqdN96ARx6Bc+eccXg4vPoqDBzobl0iElACbkYCGAo0B2KAQRfa0RgTA7wBZAKdrbX3W2v/DLQFVgBJxpjkUq5X/n979x5t93jve/z9TVIRIUjQVPeOlp2g2FqXECotRrC763oaqq2IXSIbtRnacZSWuFV2T6iwsWkRxO5Fc6L7NLTqUrfEOSQS4iSlEm1lc1ySIBG5PuePZ66urGWtJDOZa/7m5f0aY46f9TxzLV9jDnOtz/z+nueRJNWGlSvhnHNg1KjWELHddvDww4YISWWruyCRUno0pfRy2rCT9L4CbA/8LKX07Fo/40NyZwPWE0YkSWoIb72VT6S+8cbWsb33hmefhaFDi6tLUt2quyBRpsNK1990MPc48AFwUET0rF5JkiRV2axZeT3E73/fOjZ8ODz1FOy0U2FlSapv9bhGohy7lq4vtZ9IKa2KiPnAHsDOwJx1/aCImN7J1DrXaEiSVKhJk2DEiLzNa4srr4SLLoKI4uqSVPcaPUhsXbq+28l8y/g2VahFkqTqWbMGxoyBK65oHdtyS7jnHjjmmMLKktQ4Gj1IrE/LRzHrXW+RUtq3wx+QOxX7VLIoSZI2yfvv5y7Effe1ju2ySz5kbo89iqtLUkNp9CDR0nHYupP5Pu2eJ0lSfXvlFTj2WHjxxdaxYcPyydV9+xZXl6SG0+iLrf9Qug5qPxERPYBPA6uAedUsSpKkLvHwwzB4cNsQcf75cP/9hghJFdfoQeKR0vWoDuaGAlsAU1NKy6tXklQ9c+fOJSI47LDDOn3OXnvtxcc+9jHeeOONKlYmqaJSgvHj4cgjYeHCPLbZZjBhAlx7bT5wTpIqrNGDxC+Bt4GvRsR+LYMRsTlwZenLm4soTKqG3XbbjUMPPZRHH32Ul176yOZlTJ06ldmzZ3PsscfSv3//AiqUtMmWL4dvfhPOOw9Wr85jn/gEPP44nHpqsbVJamh1FyQi4riImBARE4ALS8NDWsYiYlzLc1NK7wFnAN2B30fETyLih8BMYAg5aPy8uv8FUnWdddZZANx6660fmWsZO/PMM6tak6QKef11+OIX4Y47WscGD86HzB1wQGFlSWoOsWEHRNeOiBgDXLqOp/wppfSpdt9zMHAxOTxsDvwRuB24PqW0ehPrmb7PPvvsM316Z8dMSMVatWoVO+20E8uXL2fBggX07JnPX1y8eDE77rgjO+64Iy+//DLhfvJSfXnmGTj+eFiwoHVsxAi45RbYfPPi6pJUV/bdd19mzJgxo7MdStel7joSKaUxKaVYx+NTHXzPUymlL6WUtk0p9Uop7ZVS+tGmhgipHvTo0YPTTz+dd955h0mTJv11/O6772bZsmWMGjXKECHVm4kT4ZBDWkNEt255LcSECYYISVVTd0FCUvlGjRpFjx49uOWWW/46duutt7LZZptx2mmnFViZpLKsXg3f+Q6cckpeGwGwzTbwwAN5dyY/FJBURW7jIDWBT37ykxx99NFMnjyZOXPmsGjRImbPns1JJ53E9ttvX3R5kjbEokVw8snw29+2ju2+ez5kbuDA4uqS1LQMElKTOOuss5g8eTK33norixYtAlxkLdWNuXPhmGPg5Zdbx44+Ot/i1KdP598nSV3IICE1icMPP5xBgwZx55138uGHHzJo0CAOPfTQosuStD5TpsDXvgbvvdc6dvHFcPnleW2EJBXEdyCpSUQEo0ePZtGiRSxbtsxuhFTrUoKxY3PnoSVE9OoFP/85XHmlIUJS4XwXkprIyJEj6datGz179uRUD6qSatcHH+QuxHe/mwMFwIABMHUqnHhisbVJUom3NklNZNasWaxZs4bhw4fTr1+/osuR1JE//xmOOw6ee6517JBD4Je/hB12KK4uSWrHjoTURH74wx8CcM455xRciaQOPfkk7L9/2xAxejQ89JAhQlLNsSMhNbgXXniBX//610yfPp0HHniAL3/5yxxwwAFFlyWpvR//GM4+G1auzF/36AE33JCDhCTVIIOE1OCmT5/ORRddRJ8+fRg+fDg33XRT0SVJWtvKlfkwuRtvbB3bbjuYNAmGDi2uLklaD4OE1OBGjhzJyJEjiy5DUkfeeisvnv7971vH9t47HzK3006FlSVJG8I1EpIkFWHWrLweYu0QMXw4PPWUIUJSXTBISJJUbZMmwUEHwZ/+lL+OgKuuymdE9O5dbG2StIG8tUmSpGpZswbGjIErrmgd22oruOeefPCcJNURg4QkSdXw/vswYgTcd1/r2C67wH/+J3zmM8XVJUkbySAhSVJXe+UVOPZYePHF1rFhw+BnP4O+fYurS5I2gWskJEnqSg8/DIMHtw0R558P999viJBU1wwSkiR1hZRg/Hg48khYuDCP9ewJEybAtdfmA+ckqY75LiZJUqUtXw7//M9wxx2tY5/4BEyeDJ4sL6lBGCQkSaqk11+HE06Ap59uHRs8OIeIHXcsri5JqjBvbZIkqVKeeSYfMrd2iBgxAh57zBAhqeEYJCRJqoSJE+GQQ2DBgvx1t255LcSECbD55oWWJkldwVubJEnaFKtXw4UXwrhxrWPbbptPqR42rLi6JKmLGSQkSdpYixbBySfDb3/bOrb77vmQub/7u+LqkqQq8NYmSZI2xty5eQemtUPE0Ufn9RGGCElNwCAhSVK5pkzJIeLll1vHLr4Y7rsP+vQpri5JqiKDhCRJGyolGDs2dx7eey+P9eqV10NceWVeYC1JTcI1EpIkbYgPPoBvfhN+9rPWsQED4Fe/gs9+tri6JKkgfnQiSdL6zJgBBx7YNkQMHQrPPmuIkNS0DBKSJHVmxQq45JJ8MvULL7SOjx4Nv/sdbL99cbVJUsG8tUmSpI7MmAEjR7YNEL16wY9+BGeeWVhZklQr7EhIkrS2zroQBx8Ms2YZIiSpxI6EJEktOutC/OAH8K1vQffuhZUmSbXGICFJ0ooVefvWH/wAVq9uHT/4YLjjDhg4sLjaJKlGGSQkSc3NLoQkbRSDhCSpOdmFkKRNYpCQJDUfuxCStMkMEpKk5mEXQpIqxiAhSWoOdiEkqaIMEpKkxmYXQpK6hEFCktS47EJIUpcxSEiSGo9dCEnqcgYJSVJjsQshSVVhkJAkNQa7EJJUVQYJSVL9swshSVVnkJAk1S+7EJJUGIOEJKk+2YWQpEIZJCRJ9cUuhCTVBIOEJKl+2IWQpJphkJAk1T67EJJUcwwSkqTaZhdCkmqSQUKSVJvsQkhSTTNISJJqz3PP5S7E88+3jtmFkKSaYpCQJNWOFSvgqqtyYFi1qnXcLoQk1RyDhCSpNtiFkKS6YpCQJBXLLoQk1SWDhCSpOHYhJKluGSQkSdVnF0KS6p5BQpJUXXYhJKkhGCQkSdVhF0KSGopBQpLU9exCSFLDMUhIkrqOXQhJalgGCUlS17ALIUkNzSAhSaosuxCS1BQMEpKkyrELIUlNwyAhSdp0diEkqekYJCRJm8YuhCQ1JYOEJGnj2IWQpKZmkJAklc8uhCQ1vW5FF1ANEfFqRKROHm8UXZ8k1Y0VK+DSS2Hw4LYh4uCDYdYsOO88Q4QkNYlm6ki8C1zXwfiSahciSXXJLoQkaS3NFCQWp5TGFF2EJNUd10JIkjrQTEFCklQuuxCSpE40U5DoGRHfAAYAS4HngcdTSquLLUuSapBdCEnSejRTkOgP3N1ubH5EnJZSemx93xwR0zuZ2m2TK5OkWjJtGowebRdCkrROTbFrE3AHcDg5TPQG9gJuAT4FPBARexdXmiTViJkz4ctfhoMOckcmSdJ6NUVHIqV0Wbuh2cDoiFgCXACMAY5fz8/Yt6PxUqdinwqUKUnFmDMnb+l6771tx+1CSJLWoVk6Ep3599J1aKFVSFIR5s2DU0+FPfdsGyIi4OtfhxdesAshSepUU3Qk1uHN0rV3oVVIUjUtWABXXAG33dZ2ITXA8cfD5ZfncCFJ0jo0e5AYUrrOK7QKSaqGN9+EsWPhpptg+fK2c0cdlcPFfvsVU5skqe40fJCIiD2A11NKC9uN7wT8W+nLiVUvTJKqZdEiuOYauO46WLq07dzQoXDllXDIIcXUJkmqWw0fJIDhwIUR8SgwH3gf2AX4R2Bz4H5gXHHlSVIXWbIExo+HceNg8eK2c/vvnwPEsGF5TYQkSWVqhiDxKLAr8DnyrUy9gcXAk+RzJe5OKaXiypOkClu2DG6+Ga6+Gt5+u+3cXnvlW5iOOcYAIUnaJA0fJEqHza33wDlJqnsrVsDtt+dOw4IFbecGDsyLqE88Ebo1+4Z9kqRKaPggIUkNb/VqmDgRLrsM5s9vOzdgQD4jYsQI6OFbviSpcvytIkn1as0amDQJLrkE5s5tO9e/P1x8MZxxBvTsWUx9kqSGZpCQpHqTEtx/P3zvezBzZtu5vn3hwgvh7LNhiy2KqU+S1BQMEpJUTx55JAeIadPajm+1FVxwAZx/PvTpU0xtkqSmYpCQpHowbVoOEI880na8Vy8491z4znegX79iapMkNSWDhCTVspkzc4CYMqXt+GabwejR8N3v5vUQkiRVmUFCkmrRnDl5t6V772073r07nHYafP/7eUcmSZIKYpCQpFoyb17exnXixLwrU4sIOPlkGDMmnwkhSVLBDBKSVAteey0fJHfbbbBqVdu544/Ph8ntuWcxtUmS1AGDhCQV6c03YexYuOkmWL687dxRR8EVV8B++xVTmyRJ62CQkKQiLFoE11wD110HS5e2nRs6NHcnDjmkmNokSdoABglJqqYlS2D8eBg3DhYvbju3//45QAwbltdESJJUwwwSklQNy5bBzTfD1VfD22+3ndtrr3wL0zHHGCAkSXXDICFJXWnFCrj99txpWLCg7dzAgXmHppNOgm7diqlPkqSNZJCQpK6wenXewvWyy2D+/LZzAwbkMyJGjIAevg1LkuqTv8EkqZLWrIFJk+CSS2Du3LZz/fvDxRfDGWdAz57F1CdJUoUYJCSpElKCKVPyidMzZ7ad69sXLrwQzj4bttiimPokSaowg4QkbapHHoHvfQ+mTWs7vtVWcMEFcP750KdPMbVJktRFDBKStLGmTcsB4pFH2o736gXnngvf+Q7061dMbZIkdTGDhCSV67nn8i1MU6a0Hd9sMzjzTLjoorweQpKkBmaQkKQNNWdOXkT9y1+2He/eHU47LYeLAQOKqU2SpCozSEjS+sybl7dxnTgx78rUIgJOPhnGjMlnQkiS1EQMEpLUmddeywfJ3XYbrFrVdu744+Hyy2HPPYupTZKkghkkJKm9N9+EsWPhpptg+fK2c0cemcPFfvsVU5skSTXCICFJLRYtgmuugeuug6VL284NHZoDxCGHFFObJEk1xiAhSUuWwPjxMG4cLF7cdm7//XOAGDYsr4mQJEmAQUJSM3v33bz+4eqr4e23287tuWcOEMccY4CQJKkDBglJzWXVKnjoIbjzTrjvPvjww7bzAwfmHZpOOgm6dSumRkmS6oBBQlJzmD07h4d77oHXX//o/IABcOmlMGIE9PCtUZKk9fG3paTG9dZb8NOf5gAxY0bHz/nsZ2HUKPinf4KePatbnyRJdcwgIamxLF8OU6bk8HD//R89/wHg4x+Hr38dTj0V/v7vq1+jJEkNwCAhqf6lBM88A3fdlTsQCxd+9Dk9e8Kxx+bwcMQR3r4kSdIm8jeppPr12mswcWIOEHPmdPycgw7K6x5OPBG23ba69UmS1MAMEpLqywcfwOTJ+dalhx7K3Yj2BgzI4WHEiLwLkyRJqjiDhKTat2YNPPFEDg/33psPkGuvd2/4ylfyrUtf+IJbt0qS1MUMEpJq1yuv5NuW7roLXn31o/MRcNhhOTyccEIOE5IkqSoMEpJqy7vvwi9+kcPDk092/JxBg3J4+MY38m1MkiSp6gwSkoq3ejX87nednzYNeaH0V7+aA8TgwbkbIUmSCmOQkFSc2bNz52HixI5Pm+7eHb70pbxo+uijPTBOkqQaYpCQVF0betr0qafC174GO+xQ3fokSdIGMUhI6norVsCvf+1p05IkNRCDhKSukRI8+2wOD542LUlSw/G3tqTKWrAgr3m4887OT5seMiSHB0+bliSpbhkkJG06T5uWJKnpGCQkbZw1a/I5Dy2nTb///kef42nTkiQ1LIOEpPK0nDZ9990wf/5H5z1tWpKkpmCQkLR+776buw533ulp05IkCTBISOqMp01LkqR1MEhIamtDTpv+h3/I4cHTpiVJaloGCUnlnTZ98sn58DhJktTUDBJSs1qxAqZMyeFhyhRPm5YkSWUxSEjNxNOmJUlShfgXgtToli7N4eGJJ+A//sPTpiVJUkUYJKRGkhLMmwfTprU+nn8+78DUkZbTpk85JW/fKkmStIEMElI9a+k2tISGp5+GN99c9/d42rQkSaoAg4RUL8rtNrSIgM98Jt+69MUv5vUPW25ZlZIlSVLjMkhItWpjug0AW28NBx6Yg8OQIXDAAXlMkiSpggwSUi2oRLeh5bHrrt6uJEmSupxBQirCxnYbttkmdxjsNkiSpIIZJKSuZrdBkiQ1IIOEVGlLl8Izz+QuQ7ndhpa1DQceaLdBkiTVNIOEtCnsNkiSpCZlkJDK0b7bMG0avPXW+r/PboMkSWowBgmpM3YbJEmSOmWQkFpUotswZAgMHmy3QZIkNTyDhJqT3QZJkqRNYpBQc7DbIEmSVFEGCTWeTek27LFH64Jouw2SJEmdMkiotq1cCQsXwjvv5Mfa/7yux8qV6//ZdhskSZI2WtMEiYj4G+By4CigH/A6cB9wWUppUZG1NYWUYMmSDQsBaz/ee68y/367DZIkSRXVFEEiInYBpgI7AL8C5gKDgX8BjoqIg1NK7xRYYn1p3yXY0G7BhnQJKmXbbfNZDXYbJEmSukRTBAngJnKIODeldEPLYERcC5wPXAWMLqi24hTdJdgQETkU9OtX3qNXr+rVKEmS1IQaPkhExM7AEcCrwI3tpi8FRgGnRMQFKaWlVS6vcjrrEqyvY1DNLkGvXuUHgq23hu7dq1ejJEmSNkjDBwngsNL1wZTSmrUnUkrvR8RT5KBxIPBwtYvbaNOnw+jRdgkkSZJUiGYIEruWri91Mv8yOUgMYh1BIiKmdzK128aXtglSgmef3fSfszFdgm22cZGyJElSk2uGINGywvbdTuZbxrepQi2Vs912bb+OgL592/7B3/5ruwSSJEmqkGYIEusTpWta15NSSvt2+M25U7FPpYtarx13zAet2SWQJElSAZohSLR0HDrb+7NPu+fVh802y+chSJIkSQVoho+w/1C6DupkfmDp2tkaCkmSJEntNEOQeLR0PSIi2vz3RsRWwMHAMuDpahcmSZIk1auGDxIppVeAB4FPAWe3m74M6A3cVddnSEiSJElV1gxrJADOAqYC10fE4cAc4ADgUPItTRcXWJskSZJUdxq+IwF/7UrsB0wgB4gLgF2A64EhKaV3iqtOkiRJqj/N0pEgpfQX4LSi65AkSZIaQVN0JCRJkiRVlkFCkiRJUtkMEpIkSZLKZpCQJEmSVDaDhCRJkqSyGSQkSZIklc0gIUmSJKlsBglJkiRJZTNISJIkSSqbQUKSJElS2QwSkiRJksoWKaWia6hrEfFOr169+u6+++5FlyJJkiSVZc6cOSxbtmxhSqlfud9rkNhEETEf6AO8WsC/frfSdW4B/24Vx9e9Ofm6Nx9f8+bk696cinzdPwW8l1L6dLnfaJCoYxExHSCltG/Rtah6fN2bk6978/E1b06+7s2pXl9310hIkiRJKptBQpIkSVLZDBKSJEmSymaQkCRJklQ2g4QkSZKksrlrkyRJkqSy2ZGQJEmSVDaDhCRJkqSyGSQkSZIklc0gIUmSJKlsBglJkiRJZTNISJIkSSqbQUKSJElS2QwSdSgi/iYibo+I/4qI5RHxakRcFxHbFl2bukZEfCUiboiIJyLivYhIETGx6LrUdSKiX0ScHhGTI+KPEbEsIt6NiCcj4psR4ft3g4qIf42IhyPiL6XXfWFEPBcRl0ZEv6LrU3VExCml9/oUEacXXY8qr/T3W+rk8UbR9W0ID6SrMxGxCzAV2AH4FTAXGAwcCvwBODil9E5xFaorRMRMYG9gCfAasBtwT0rpG4UWpi4TEaOBm4HXgUeBPwMfB04AtgYmAcOTb+INJyJWADOA/wu8CfQGDgT2A/4LODCl9JfiKlRXi4i/BV4AugNbAmeklH5SbFWqtIh4FdgGuK6D6SUppXHVrah8PYouQGW7iRwizk0p3dAyGBHXAucDVwGjC6pNXed8coD4I/AF8h+WamwvAccAU1JKa1oGI+Ii4P8A/40cKiYVU566UJ+U0oftByPiKuAi4LvAWVWvSlUREQHcAbwD/E/g28VWpC62OKU0pugiNpat8ToSETsDRwCvAje2m74UWAqcEhG9q1yaulhK6dGU0st++tw8UkqPpJT+19ohojT+BvDvpS+/WPXC1OU6ChElvyhdB1arFhXiXOAw4DTy73WpZhkk6sthpeuDHfxx8T7wFLAFuQUuqXGtLF1XFVqFqu3o0vX5QqtQl4mI3YGxwPiU0uNF16Oq6BkR34iIiyLiXyLi0IjoXnRRG8pbm+rLrqXrS53Mv0zuWAwCHq5KRZKqKiJ6ACNKX/6myFrUtSLi2+T747cmr4/4PDlEjC2yLnWN0v/bd5PXQ11UcDmqnv7k131t8yPitJTSY0UUVA6DRH3ZunR9t5P5lvFtqlCLpGKMBfYE7k8p/bboYtSlvk1eYN/iN8DIlNJbBdWjrnUJ8Dng8ymlZUUXo6q4A3gCeBF4H9gZOAcYBTwQEUNSSrMKrG+9vLWpsUTp6n30UgOKiHOBC8i7tZ1ScDnqYiml/imlIH9ieQL5j4znImKfYitTpUXEYHIX4pqU0rSi61F1pJQuK62H+38ppQ9SSrNTSqOBa4FewJhiK1w/g0R9aek4bN3JfJ92z5PUICLibGA8eUvQQ1NKCwsuSVVS+iNjMvnW1X7AXQWXpApa65aml4DvF1yOakPLhhpDC61iAxgk6ssfStdBncy37OTR2RoKSXUoIs4D/g2YTQ4RdXFQkSorpfQncpDcIyK2K7oeVcyW5N/ruwMfrn0oGXlHRoAfl8Y6Om9AjefN0rXmd+F0jUR9aTk74IiI6NZub/mtgIOBZcDTRRQnqfIi4r+T10XMBIallN4uuCQVa8fSdXWhVaiSlgO3dTK3D3ndxJPkDxO97ak5DCld5xVaxQYwSNSRlNIrEfEgub19NnDDWtOXkZPrLSkl952WGkBEfB+4HJgOHOHtTI0vInYjH1D1RrvxbsAV5ANJp6aUFhVRnyqvtLD69I7mImIMOUjc6cnWjSUi9gBeb/++HhE7kTvQABOrXliZDBL15yxgKnB9RBwOzAEOAA4l39J0cYG1qYtExHHAcaUv+5euQyJiQumf304pefppA4mIU8khYjV5V49z84G3bbyaUppQ5dLUtY4C/kdEPA68Qj7d+OPkE+13Bt4AziiuPEkVMhy4MCIeBeaTd23aBfhHYHPgfmBcceVtGINEnSl1JfYj/4FxFPAl4HXgeuAyP7FsWJ8FTm03tnPpAfAn8laRahyfLl27A+d18pzHgAlVqUbV8hBwK/lW1b3J23kvJX9QdDdwve/zUkN4lHw+2OfItzL1BhaTb2O7G7g7pVTzu3BGHdQoSZIkqca4a5MkSZKkshkkJEmSJJXNICFJkiSpbAYJSZIkSWUzSEiSJEkqm0FCkiRJUtkMEpIkSZLKZpCQJEmSVDaDhCRJkqSyGSQkSZIklc0gIUmSJKlsBglJkiRJZTNISJIkSSqbQUKSJElS2QwSkiRJkspmkJAk1ZSIuC8iUkR8q4O5K0pzPymiNklSq0gpFV2DJEl/FRF9geeAjwNDUkrPlcYPBx4E5gL7p5Q+KK5KSZJBQpJUcyLiIOAxYD6wD7AFMAvYmhwiXiywPEkS3tokSapBKaWpwPeBgcAtwESgP3CuIUKSaoMdCUlSTYqIAB4AjiwN/TSl9LUCS5IkrcWOhCSpJqX8SdfktYauK6oWSdJH2ZGQJNWkiBgIzABWktdGvAgMTil9WGhhkiTAjoQkqQZFRE/g50Bv4KvA1cBe2JWQpJphkJAk1aJxwOeAH6aUHgQuBZ4CzoyIEwutTJIEeGuTJKnGRMRx5LUR/xv4fEppVWn8b4GZQA/gcymlecVVKUkySEiSakZEDCCHhW7ksDC/3fyxwH3AM+SQsaL6VUqSwCAhSZIkaSO4RkKSJElS2QwSkiRJkspmkJAkSZJUNoOEJEmSpLIZJCRJkiSVzSAhSZIkqWwGCUmSJEllM0hIkiRJKptBQpIkSVLZDBKSJEmSymaQkCRJklQ2g4QkSZKkshkkJEmSJJXNICFJkiSpbAYJSZIkSWUzSEiSJEkqm0FCkiRJUtn+P6mq0dLgqF4ZAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "image/png": { "height": 290, "width": 393 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n", "axes2 = fig.add_axes([0.2, 0.5, 0.2, 0.3]) # inset axes\n", "\n", "# main figure\n", "axes1.plot(x, y, 'r')\n", "axes1.set_xlabel('x')\n", "axes1.set_ylabel('y')\n", "axes1.set_title('title')\n", "\n", "# insert\n", "axes2.plot(y, x, 'g')\n", "axes2.plot(x,y, 'k')\n", "axes2.set_xlabel('y')\n", "axes2.set_ylabel('x')\n", "axes2.set_title('insert title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we don't care about being explicit about where our plot axes are placed in the figure canvas, then we can use one of the many axis layout managers in matplotlib. My favorite is `subplots`, which can be used like this:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 384 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots()\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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OkSTVlNI1e889oXv3dFnmkwW/JLWnF1+El1+O427doG/ftHkkSeVNmwa33ZbPK3STxoJfktpT6U7RbrvBooumyyJJat5998FXX8Xxt78NW2yRNs98suCXpPYyYwbccks+r9CdIkmqGaWbNP37Q4fKLJ0rM7UkVaL774exY+N4ueVg223T5pEklTd2LIwcmc8HDEiXZQFZ8EtSeyndKerXDzp2TJdFktS8W2+FmTPj+Ic/hNVWS5tnAVjwS1J7+OoruPfefO7tPJJUbEOG5OMKX7Mt+CWpPdx+O0yfHscbbghrr502jySpvP/8B55/Po67doW99kqbZwFZ8EtSe/DsfUmqHKVr9q67Qs+e6bK0Agt+SWprb74JTz8dx507wz77pM0jSSpv5kwYOjSfV8EmjQW/JLW10p2inXaCJZZIl0WS1LwHH4QxY+J42WVh++3T5mkFFvyS1JZmzYKbb87nFXysmyTVhNJNmv32g06d0mVpJRb8ktSWHnkEPv44jpdYAn72s7R5JEnlffMN3H13Pq+C23nAgl+S2lbpsW777gtduqTLIklq3p//DNOmxfH3vw/rrps2Tyux4JektjJhAgwfns+rZKdIkqpWlZ6oZsEvSW1l+HCYPDmOv/td2GCDtHkkSeW98w78859x3KlTfFe2SljwS1JbabxTFEK6LJKk5pXegvmzn8FSS6XL0sos+CWpLYweDY8+GscdOsSTHiRJxTR7dsOCv8pOVLPgl6S2UHoU5/bbw3LLpcsiSWre44/DBx/E8eKLx54pVcSCX5JaW5Y13Cmqog9+SVJVKl2z99kHunZNl6UNWPBLUmt78sn44S+ARReFXXdNm0eSVN6kSfE4znpVuElTUQV/CGGJEMJBIYQRIYR3QghTQgjjQghPhBAODCE0+fcJIfwwhDAyhPBVCGFyCOHlEMIxIYSO7f13kFQDSj+su9de0K1buiwJuWZLqggjRsDEiXG85pqw0UZp87SBSusV3Be4Gvgv8AjwIbAMsDtwA/DTEELfLMuy+ieEEH4ODAemArcDXwE7A78DflT3OyWpdUyZArffns+rcKeoBVyzJRVfDZyoVmkF/1vALsB9WZbNrr8YQjgN+DewB/GFZHjd9UWB64FZwFZZlj1bd/0M4GFgzxDC3lmWDWvXv4Wk6vWXv8C4cXG8yirwox+lzZOWa7akYvvoI/jHP+I4BOjXL22eNlJRt/RkWfZwlmX3lr5w1F0fA1xTN92q5Ed7AksBw+pfOOoePxUYVDc9vO0SS6o5pTtFAwZU5U7RvHLNllR4Q4fGgxYAtt0WVlghbZ42UlEF/1zMqPs+s+TaNnXf72/i8Y8Dk4EfhhCq66PYktL473/hgQfyeZWd49zKXLMlpZVlc97OU6Uq7ZaeJoUQOgH1r6ylLxRr1H1/q/FzsiybGUJ4H/gusArw+lz+jOfK/GjNlqWVVLVuvTU2bwHYYgtYeeW0eQrKNVtSITzzDLz5Zhz36AG77ZY2Txuqlh3+84F1gJFZlpVsr7FY3fdxZZ5Xf71nWwWTVCNqaKeoFbhmS0qvdM3u2xe6d0+XpY1V/A5/COEo4HjgDaB/S59e9z1r9lFAlmV9yvz5zwEbtPDPlVRtXnwRXnkljrt1gz33TJunoFyzJRXCtGlw2235vMo3aSp6hz+EcCTwe+A1YOssy75q9JD63aDFaNqijR4nSfOndKdo991jwy014JotqTD++lf4+us47t0bNt88aZy2VrEFfwjhGOAK4D/EF44xTTys7sYsVm/i+Z2AlYkfGHuvrXJKqgGTJzdsy17lO0XzwzVbUqFcd10+HjAAOlRsSTxPKvJvF0I4mdiE5UXiC8fnZR76cN33nzTxsy2AhYF/ZVk2rfVTSqoZw4blO0UrrwzbbNP842uMa7akQnnrLfj73+O4Qwc44IC0edpBxRX8dQ1YzgeeA7bNsuyLZh5+J/AFsHcIYcOS37EQcHbd9Oq2yiqpBmQZXHFFPj/8cOjYMV2egnHNllQ4V12Vj3faKd7SU+Uq6kO7IYSBwG+JXRhHAUeFOZvajM6ybDBAlmXjQwgHE19EHg0hDCO2ad+FePzbncTW7ZI0f556Cl54IY4XWgh++cu0eQrENVtS4UycCH/6Uz7/1a/SZWlHFVXwE+/fBOgIHFPmMY8Bg+snWZbdHULYEjid2MZ9IeAd4DjgD1mWzfW0B0kq68or8/E++8ASS6TLUjyu2ZKK5ZZbYPz4OF599dhdtwZUVMGfZdmZwJnz8bx/Aj9r7TySatxnn8Edd+TzGtkpmleu2ZIKpfEtmEceWfUf1q1XG39LSWoLN9wAM2bE8SabwAYe7y5JhTVqFPznP3HcvXtNnahmwS9J82PmTLjmmnzu7r4kFVvp7n7//rBYuZYf1ceCX5Lmx1/+Ah9/HMdLLWVnXUkqsk8+gREj8vmRR6bLkoAFvyTNj9KdokMOga5d02WRJDXvuuviO7MAW24J66yTNk87s+CXpJZ67TV45JE47tABDj00bR5JUnnTpzfsrFtju/tgwS9JLVd6FOeuu8KKK6bLIklq3l13wZgxcbzccnHdrjEW/JLUEuPHw5Ah+bwGd4okqaKUbtIceih07pwuSyIW/JLUEkOGxE6NAGutBVtvnTaPJKm8l16CJ56I486d42euapAFvyTNqyxruFN05JEQQro8kqTmla7Ze+wByy6bLktCFvySNK8efhjeeCOOF1kEBgxIm0eSVN7XX8PQofm8hvulWPBL0rwq3SkaMCAW/ZKkYho8GKZMieP114cf/jBpnJQs+CVpXnz4IdxzTz73w7qSVFyzZzfcpPnVr2r6FkwLfkmaF9deG19AALbZJn5gV5JUTH//O7z7bhz37An77ps2T2IW/JI0N9OmwfXX5/Mavg9UkipCaTf0X/4SFl44XZYCsOCXpLn5859h7Ng4XnFF2HnntHkkSeW99x6MHJnPDz88XZaCsOCXpLkp3Sk67DDo1CldFklS866+Oh6jDPDTn8J3vpM2TwFY8EtSc559Fp5+Oo67dIGDDkqbR5JU3uTJcOON+dwDFgALfklqXukpD3vtBUsvnS6LJKl5w4bF8/cBVlkFfvKTtHkKwoJfksr58ku47bZ87k6RJBVXljW8BfPww6Fjx3R5CsSCX5LKufHGeEIPQJ8+sPHGafNIksp76il44YU4XmiheDqPAAt+SWrarFnxg1/1jjyyppu2SFLhle7u77sv9OqVLkvBWPBLUlNGjoTRo+O4Vy/Ye++kcSRJzfjss3iEcj1vwWzAgl+SmlL6Yd2DDoJu3dJlkSQ17/rrYcaMON50U9hgg7R5CsaCX5Iae+steOCBOA4hnr0vSSqmmTPhmmvyud3Q52DBL0mNld67v9NOsPLK6bJIkpp3zz3wySdxvPTSsMceafMUkAW/JJWaNAn+9Kd87n2gklRspbdgHnIIdO2aLktBWfBLUqlbboFx4+J4tdVg++3T5pEklffqq/DII3HcsSMcemjaPAVlwS9J9Ro3bTniCOjgMilJhXXVVfl4111hhRXSZSkwX8kkqd4TT8Arr8TxwgvD/vsnjSNJasb48TBkSD73FsyyLPglqV7p7n6/ftCzZ7oskqTmDRkCEyfG8dprw1ZbJY1TZBb8kgTw6adw11353J0iSSquLGv4YV27oTfLgl+SAK67Lp7lDLD55rDeemnzSJLKe/hheOONOF5kEejfP22egrPgl6Tp0+Haa/O5TVskqdhKb8EcODAW/SrLgl+SRoyAMWPi+Fvfgt12S5tHklTehx/CX/6Sz70Fc64s+CWp9D7QQw+Fzp3TZZEkNe+aa2D27DjedltYc820eSqABb+k2vbyyzBqVBx36hS7NEqSimnqVLj++nzuLZjzxIJfUm0r3d3fY494S48kqZj+/Gf44os4XnFF2GmntHkqhAW/pNr1zTcwdGg+9z5QSSq20k2aww+P78xqriz4JdWuwYNh8uQ4Xm892GyzpHEkSc149ll4+uk47tIFDjoobZ4KYsEvqTbNnm3TFkmqJKVr9i9+AUstlS5LhbHgl1SbHnwQ3nknjhdbDPbbL20eSVJ5X3wBt92Wz70Fs0Us+CXVptKmLQccAN27p8siSWreH/8I06bF8YYbwg9+kDZPhbHgl1R73n8f7rsvnx9xRLoskqTmzZoFV12Vz70Fs8Us+CXVnquvhiyL4x//GFZbLW0eSVJ5I0fCBx/E8RJLxPv31SIW/JJqy5QpcOON+dymLZJUbKW3YB54IHTrli5LhbLgl1Rbhg2Dr76K49694ac/TRpHktSMt96Cv/89jkOIZ++rxSz4JdWOLGu4U3TEEdCxY7o8kqTmld67v9NOcaNGLWbBL6l2PP00PP98HC+0EPzyl2nzSJLKmzgxNkis5y2Y882CX1LtKG3ass8+8cNfkqRiuuUWGDcujldbDbbbLm2eCmbBL6k2fP453HFHPrdpiyQVV5bN2Q29g2Xr/PJ/OUm14YYbYPr0ON5kE+jTJ20eSVJ5o0bBK6/E8cILw8CBafNUOAt+SdVv5sx49n49d/clqdhKd/f79YOePdNlqQIW/JKq3733wscfx/FSS0HfvmnzSJLK+/RTuOuufO4mzQKz4JdU/UqP4jz4YOjaNV0WSVLzrrsuvjMLsPnmsN56afNUAQt+SdXt9dfh4YfjuEMHOOywtHkkSeVNnw7XXpvPPYqzVVjwS6pupfeB/vznsOKK6bJIkpo3YgSMGRPH3/oW7LZb2jxVwoJfUvUaPx5uuimfu1MkScVWegvmoYdC587pslQRC35J1evmm2OnRoC11oKtt06bR5JU3ksvwRNPxHGnTnDIIWnzVBELfknVqammLSGkyyNJal7pmr3HHvGWHrUKC35J1emRR+IHdgF69ID+/dPmkSSV9/XXMHRoPvcozlZlwS+pOpXuFA0cCIsumi6LJKl5gwfDlClxvN56sNlmSeNUGwt+SdXno4/g7rvz+RFHpMsiSWre7NnegtnGLPglVZ9rr40vIADbbANrr502jySpvL//Hd59N44XWwz22y9tnipkwS+pukybFrs01vM+UEkqttKjOA84ALp3T5elSlVcwR9C2DOEcHkIYVQIYXwIIQshDC3z2N51Py/3Nay980tqY3feCWPHxvEKK8Auu6TNU+NcsyU16733YOTIfO4tmG2iU+oA82EQsD4wEfgYWHMenvMScHcT1//TirkkFUHpTtFhh8WznJWSa7ak8q6+Oh6jDPDjH8Nqq6XNU6Uq8ZXwWOKLxjvAlsAj8/CcF7MsO7MtQ0kqgOeeg6eeiuMuXeDgg9PmEbhmSypn8mS48cZ8bjf0NlNxBX+WZf97sQh+gltSqUsvzcd9+8LSS6fLIsA1W1Izbropnr8P0Ls3/PSnSeNUs4or+OfTciGEQ4ElgC+BJ7MsezlxJkmt6e23YVjJLd5HH50uixaUa7ZU7WbMgPPPz+dHHQUdO6bLU+VqpeDfvu7rf0IIjwIDsyz7cF5+QQjhuTI/mpf7USW1tfPPz4/i/PGPYaON0ubRgnDNlqrd0KHwYd3/nZdcEg45JG2eKldxp/S00GTgLKAPsHjdV/09pFsB/wghePaTVOk++ACGDMnngwaly6IF4Zot1YJZs+Dcc/P5ccd5FGcbq+od/izLPgd+0+jy4yGEHYAngI2Bg4Dfz8Pv6tPU9bpdpA0WMKqkBXHhhTBzZhxvuaUt2SuUa7ZUI+64A955J4579rRfSjuo9h3+JmVZNhO4oW66RcoskhbQp582POXB3f2q45otVZHZs+Gcc/L5UUfBooumy1MjarLgr1PXmQffQ5Iq2SWXxO66ABtvDNtumzaP2oprtlQN7rkHXn01jnv0iAW/2lwtF/yb1H1/L2kKSfNv7Fi45pp8PmgQePRjtXLNlipdlsHZZ+fzI46AJZZIl6eGVHXBH0LYOITQpYnr2xCbwQA02eJdUgW47LLYuAVg/fVhxx3T5tECcc2Wqtz998Pzz8fxQgvFD+uqXVTch3ZDCLsCu9ZNl637vmkIYXDd+Issy06oG18AfLfuOLeP666tB2xTNz4jy7J/tW1iSW3i66/h8svzubv7heSaLQmIu/tnnZXPDzkEllkmXZ4aU3EFP5ua2bEAACAASURBVPA9YGCja6vUfQF8ANS/eNwM7AZsBPwU6Ax8BtwBXJFl2ag2TyupbVxxBUyYEMdrrQW77542j8pxzZYEjz4KTz4Zx507w4knJo1Tayqu4M+y7EzgzHl87I3AjXN9oKTKMmFCvJ2n3mmnQYeqvkOxYrlmSwIa3rt/wAGwwgrpstQgXyElVZ5rroGvvorjVVaBvfdOm0eSVN6//gUPPxzHHTvCySenzVODLPglVZYpU+Dii/P5qadCp4p7s1KSakfpufv77Rc3atSuLPglVZYbboDPP4/jFVaAAQPS5pEklff88zByZByHEDdp1O4s+CVVjmnT4MIL8/nJJ0OXOU5xlCQVRenuft++sOaa6bLUMAt+SZVjyBD4uO60xmWWgQMPTJtHklTeq6/CXXfl89NPT5elxlnwS6oMM2fCeefl8xNOgG7d0uWRJDXv3HPz8S67wHrrpctS4yz4JVWG226D99+P41694LDD0uaRJJX39tswbFg+d3c/KQt+ScU3a1bDnaJjj4UePdLlkSQ17/zzYfbsON5hB/jBD9LmqXEW/JKKb/hweOONOF50UfjVr9LmkSSVN3p0/MxVvUGDkkVRZMEvqdhmz27YofHXv4aePdPlkSQ178IL4+euALbYAjbfPG0eWfBLKri//hVeeSWOu3eHY45Jm0eSVN6nn8KNN+bzM85Il0X/Y8EvqbiyrOHu/uGHw5JLpssjSWrexRfD9OlxvPHGsO22afMIsOCXVGQPPgjPPBPHXbvC8cenzSNJKm/sWLjmmnw+aFDsrqvkLPglFVfp7v7BB8Oyy6bLIklq3u9+B1OmxPH668OOO6bNo/+x4JdUTI8/DqNGxXHnznDiiWnzSJLK+/pruOKKfO7ufqFY8EsqptLd/YEDYaWV0mWRJDXv8sthwoQ4Xmst2H33tHnUgAW/pOJ5+ul4/z5Ahw5wyilp80iSypswAS67LJ+fdlpcu1UY/tOQVDznnJOP990XVl01XRZJUvOuvjre0gOwyiqw995p82gOFvySiuXFF+Hee+M4BDj11LR5JEnlTZ4Ml1ySz089FTp1SpdHTbLgl1Qs556bj/fYA9ZeO10WSVLzbrgBPv88jldYAQYMSJtHTbLgl1Qcr78Od96Zz08/PV0WSVLzpk2DCy/M5yefDF26pMujsiz4JRXHeefF7roAO+0E3/te2jySpPJuugk++SSOl1kGDjwwbR6VZcEvqRjefRduvTWfu7svScU1Y0bcpKl3wgnQrVu6PGqWBb+kYrjgApg1K4632w422SRtHklSebfdBqNHx3GvXnDYYUnjqHkW/JLS++gjGDw4nw8alCyKJGkuZs1qeMDCscdCjx7p8miuLPglpXfRRfHtYYDNNoMttkibR5JU3vDh8OabcbzoovCrX6XNo7lqtYI/hLB0a/0uSTVkzBi4/vp8PmhQPH9fberz+mP0JKklZs+Gs8/O57/+NfTsmS6P5klr7vB/FEK4PYSwTSv+TknV7tJLYerUON5wQ9hhh7R5asSKK67Ie++9B7BI6iySKshf/wqvvBLHCy8MxxyTNo/mSWsW/G8BfYEHQwhvhRCODyEs0Yq/X1K1+fJLuOqqfO7ufrtZffXV+eabbwBWc82WNE+yrOHu/uGHw5JLpsujedZqBX+WZesCmwE3A8sDFwEfhxBuCSF4Q66kOf3+9zBpUhyvuy7svHPaPDXklVdeYfXVVwf4EtdsSfPiwQfhmWfiuGtXOP74tHk0z1r1Q7tZlv0ry7L9geWAo4F3gH2AR0IIr4cQjg4hLN6af6akCjVuHPzhD/n89NOhg+cItKce8VSND3DNljQvSnf3DzoIvvWtdFnUIm3y6ppl2bgsyy4v2fUfAqwEXAp8EkIYHELYsC3+bEkV4sorY9EPsPrqsOeeafPUMNdsSXP1+OMwalQcd+oEJ52UNo9apD22074EvgamAgHoAgwAng4h3B1C6NUOGSQVyaRJ8cO69U47DTp2TJdHpVyzJc2pdHd/4EBYaaV0WdRibVLwhxA6hxD2DiE8ArwGHAOMBY4DlgS2AR4AdgGubIsMkgrsmmviB3YBeveGffdNGqfWuWZLatbTT8f79yHeennKKWnzqMU6teYvCyF8BzgE2B9YApgF3A1clWXZP0oe+ijwaAjhTuAnrZlBUsFNmQIXX5zPTz0VOndOl6eGTY3HoS4PfIJrtqRySnf3990XvvOddFk0X1qt4A8hPARsTXwL+FPgLOC6LMs+beZpzwG7tVYGSRXgj3+MzbYAll8+vjWsdrfddtvx2muvASxDLPhdsyXN6YUX4tn7EI9NPvXUtHk0X1pzh38b4BHgKuDuLMtmzcNz7iX+x4GkWjB9OlxwQT4/6aR4tJva3cMPP8wiiyzChAkT3gNWd82W1KRzz83He+wBa6+dLovmW2vew79WlmXbZlk2fB5fOMiy7D9Zlt3UihkkFdnNN8NHH8Xx0kvHY92UxOuvv85qq60G8I1rtqQmvfYaDB+ez08/PV0WLZDWbLz1Zmv9LklVaOZMOO+8fH788bEtu5JYY401UkeQVHTnnRe76wLstBN873tp82i+2eVGUvu4/XZ49904Xnzx2JJdklRM774Lt96az93dr2gW/JLa3uzZcM45+fyYY2CRRdLlkSQ17/zz49oNsN12sMkmafNogVjwS2p7I0bA66/H8SKLwK9/nTaPJKm8Dz+Em0o+rjNoULosahUW/JLaVpY1PMP5V7+Kt/RIkorpootgxow43mwz2GKLtHm0wCz4JbWtkSPhxRfjuFs3OPbYtHkkSeWNGQPXX5/PBw2K5++rolnwS2o7WQZnnZXPDzsMlloqXR5JUvMuuQSmTYvjDTeEHXZIm0etwoJfUtt5+GF4+uk47tIFTjghbR5JUnlffAFXX53P3d2vGhb8ktpO6b37Bx4Iyy2XLoskqXm//z1MmhTH664LO++cNo9ajQW/pLbxxBPw6KNx3KkTnHRS0jiSpGZ88w384Q/5/PTToYNlYrXwn6SktlF67n7//tC7d7IokqS5uPJKGD8+jldfHfbcM20etSoLfkmt79ln4f7747hDBzjllLR5JEnlTZwIv/tdPj/tNOjYMV0etToLfkmtr3R3/xe/iLtFkqRiuvZa+PLLOO7dG/bdN2kctT4Lfkmt64UX4O678/lpp6XLIklq3sSJsdFWvVNOgc6d0+VRm7Dgl9R6sqxhY63ddoN11kmXR5LUvPPPh88+i+Pll4f9908aR23Dgl9S6xkxAh57LI47dYJzz02bR5JU3gcfwMUX5/Ozz4auXdPlUZux4JfUOqZObdhY68gjYc010+WRJDXvpJPyrrp9+sCAAWnzqM1Y8EtqHZddBu+/H8e9esFvfpM2jySpvFGj4I478vlll3nufhXzn6ykBTdmTMOTeX7721j0S5KKZ/ZsOOaYfP6LX8Bmm6XLozZnwS9pwZ1+ejzpAWDtteHQQ9PmkSSVd9NN8PzzcbzQQnDBBWnzqM1Z8EtaMM8/D3/6Uz7/3e/iB3YlScUzYULD45JPOAG+/e10edQuLPglzb8si28LZ1mc77QT7LBD2kySpPLOOy/ehgmw3HJw8slp86hdWPBLmn933hk/+AVxV7/0eDdJUrG8/z5cemk+P+886NEjXR61Gwt+SfNn6lQ48cR8/utfwxprpMsjSWpe6TGcP/gB9OuXNo/ajQW/pPlz6aWxaQvAEkt4DKckFdljj8V3Zet5DGdN8Z+0pJb7738bdtE96yzo2TNdHklSebNmwbHH5vN99oFNN02XR+2u4gr+EMKeIYTLQwijQgjjQwhZCGHoXJ7zwxDCyBDCVyGEySGEl0MIx4QQOrZXbqmqnHYaTJoUx+usAwcfnDaPCss1WyqAwYPhhRfiuFs3j+GsQZV4dt4gYH1gIvAxsGZzDw4h/BwYDkwFbge+AnYGfgf8COjblmGlqvPcc/HFo57HcKp5rtlSSuPHx14p9U48EVZcMV0eJVFxO/zAscDqwKLA4c09MISwKHA9MAvYKsuyA7MsOxH4HvAksGcIYe82zitVjyyDo4/O57vsAtttly6PKoFrtpTSuefCZ5/F8fLLxw/uquZUXMGfZdkjWZa9nWX1B383a09gKWBYlmXPlvyOqcRdJ5jLC5CkEnfcAf/8Zxx37uwxnJor12wpoXffje/C1rvgAujePV0eJVNxBX8LbVP3/f4mfvY4MBn4YQiha/tFkirUlCkNd4aOOgpWWy1dHlUj12ypNZ10EkyfHscbbxw/rKuaVO033tYfCv5W4x9kWTYzhPA+8F1gFeD15n5RCOG5Mj9q9n5UqWpccgl8+GEcL7UUnHFG2jyqRq7ZUmt59FG466587jGcNa3a/8kvVvd9XJmf11/3PEGpOZ9+Gjsy1jvrLFhssfKPl+aPa7bUGmbNgmOOyef77QebbJIuj5Kr9h3+uQl13+d6b2mWZX2a/AVxF2mD1gwlFc6pp8LkyXG83npw0EFp86hWuWZL8+KPf4SXXorjhReG889Pm0fJVfsOf/1uULmtyEUbPU5SY//+NwwZks8vuww6ehy62oRrtrSgxo1reAznySfDCiuky6NCqPaC/82676s3/kEIoROwMjATeK89Q0kVI8savi28666w9dbp8qjauWZLC+qcc2Ds2DhecUU44YS0eVQI1V7wP1z3/SdN/GwLYGHgX1mWTWu/SFIFGTYMnnwyjj2GU23PNVtaEO+8E9+FrXfBBfGWHtW8ai/47wS+APYOIWxYfzGEsBBwdt306hTBpMKbPDm+FVzvmGNg1VXT5VEtcM2WFsSJJ8KMGXG86aawt33qFFXch3ZDCLsCu9ZNl637vmkIYXDd+Issy04AyLJsfAjhYOKLyKMhhGHENu27EI9/u5PYul1SYxdfDB99FMdLLw2DBjX/eKkJrtlSO3n4Ybj77nx+2WUQQvnHq6ZUXMFPbLE+sNG1Veq+AD4A/nfDWpZld4cQtgROB/YAFgLeAY4D/jCP3R+l2vLxx/Gt4Hpnnw2LLlr+8VJ5rtlSW5s5s+Hnrfr3hx/8IF0eFU7FFfxZlp0JnNnC5/wT+Flb5JGqUukxnOuvD7/8Zdo8qliu2VI7uPFGeOWVOF544YZ9UySq/x5+SS311FMwdGg+9xhOSSqub75peMvlqafC8suny6NCsuCXlGt8DOfuu8NWWyWLI0mai7PPhi++iOOVVoLjj0+bR4VkwS8pd+ut8PTTcdylC1x0Udo8kqTy3n4b/vCHfH7hhdCtW7o8KiwLfknRpEkNj+E89lhYZZXyj5ckpXXCCfkxnD/6Eey1V9o8KiwLfknRRRfBJ5/E8TLLNGzNLkkqlocegr/8JZ97DKeaYcEvKZ63f+GF+fzcc2GRRdLlkSSV1/gYzv33hw03LPtwyYJfEpxyCkyZEsff/z4MbHxsuiSpMK6/Hl59NY67d4dzzkmbR4VnwS/VuiefjB/WrecxnJJUXF9/DWeckc9POw2WWy5dHlUEC36pls2e3fBt4T33hC22SJdHktS8s86CL7+M429/Ox6wIM2FBb9Uy265Bf797zju2tVjOCWpyN58Ey6/PJ9fdJHHcGqeWPBLtWrixHjvfr3jj4fevZPFkSTNxfHHxw/sAmy+eXxXVpoHFvxSrbrwQvj00zhedtmGxb8kqVgeeADuuy+OQ/AYTrWIBb9Uiz74oOHtO+ed5zGcklRUM2fCccfl8wMOgA02SJdHFceCX6pFp5wCU6fGcZ8+MGBA2jySpPKuvRZeey2Oe/TwGE61mAW/VGv++U8YNiyfX3YZdHApkKRC+uor+M1v8vnpp8fbMKUW8FVeqiWNj+H8xS9gs83S5ZEkNe+3v41FP8DKKzdcw6V5ZMEv1ZKbb4Znn43jhRaCCy5Im0eSVN4bb8CVV+bziy6Ka7fUQhb8Uq2YOBFOPTWfn3BCbNoiSSqm447Lj+HcckvYffe0eVSxLPilWnH++fDf/8bxt74FJ5+cNo8kqby//S1+QTx+83e/8xhOzTcLfqkWjB4NF1+cz88/P570IEkqnhkzGh7DeeCB8P3vp8ujimfBL9WCk0+GadPieKONoF+/tHkkSeVdc028fx9ij5Szz06bRxXPgl+qdqNGwR135HOP4ZSk4vryS/i//8vngwbBMsuky6Oq4Ku+VM0aH8O5zz7wwx+myyNJat6ZZ8LXX8fxKqvA0UcnjaPqYMEvVbObboLnn4/jbt3ivfuSpGJ67TW4+up8fvHF0LVrujyqGhb8UrWaMAFOOy2fn3girLRSujySpPKyLH5Qd9asON96a9h117SZVDUs+KVqdd55MGZMHC+/PJx0Uto8kqTy/vY3eOCBOO7QwWM41aos+KVq9OKLcx7D2b17ujySpPLGj4cjj8znBx0E66+fLo+qjgW/VG2mTo3Hbs6YEeebbgr77ps2kySpvKOOiv1SAHr2hLPOShpH1ceCX6o2p54Kr74axwsvDIMHewynJBXVnXfGAxbqXXMNLL10ujyqSlYBUjV58MF4zn69Sy+F1VdPl0eSVN6nn8Khh+bzfv3gF79Il0dVy4JfqhZffQX775/Pd9oJDjkkWRxJUjNmz4YDDohrN8RT1K64Im0mVS0LfqkaZBkcfnjcLQJYaim44QZPeJCkorrySvj73+M4BBgyBBZbLG0mVS0Lfqka3HIL3HFHPr/hBluxS1JRvfZaw6OSTzgBttwyXR5VPQt+qdJ98MGcx7ntsku6PJKk8qZPj/fqT50a5+uv76k8anMW/FIlmzULBg6MZzgDrLpqbNYiSSqmM8+EF16I465dYejQ+F1qQxb8UiW75BJ47LE47tgxvnD06JE2kySpaaNGxUaI9c47D9ZZJ10e1QwLfqlSvfgiDBqUz08/HTbZJF0eSVJ548dD//7xkAWAbbeFo49Om0k1w4JfqkSNu+lutFHD4l+SVCxHHRU/cwWxm65NEdWO/DdNqkSNu+kOHQqdO6fNJElq2vDhc3bTXWGFdHlUcyz4pUrz0EMNu+leconddCWpqD79tGETxP32s5uu2p0Fv1RJGnfT3XHHhm3ZJUnF0bib7oor2k1XSVjwS5WivpvuJ5/E+VJLwY032k1XkoqqqW66PXumzaSaZMEvVQq76UpS5Wiqm+5WWyWLo9pmwS9VArvpSlLlsJuuCsaCXyo6u+lKUmWxm64KxoJfKrpLL8276XboADffbDddSSqqJ56ACy7I53bTVQFY8EtF9tJLsYNuvUGDYNNN0+WRJJVX30139uw4t5uuCsKCXyqqqVPjec1205WkynDUUTB6dBzbTVcF4r+FUlHZTVeSKkfjbrpXX203XRWGBb9URHbTlaTK0VQ33b33TpdHasSCXyoau+lKUuXIMvjlL+2mq0Kz4JeKJMvgiCPybrpLLhkbbNlNV5KK6cor4YEH4thuuiooC36pSG69FW6/PZ/fcAMsu2y6PJKk8l5/HU48MZ8ff7zddFVIFvxSUXzwQdzdr3fQQfDzn6fLI0kqb/r0eK9+fTfd9daDs89Om0kqw4JfKgK76UpSZSntptuli910VWgW/FIR2E1XkipHU9101103XR5pLiz4pdQad9M9/XS76UpSUTXuprvNNnDMMWkzSXNhwS+l1FQ33TPOSJtJklTe0Uc37KZ7001201Xh+W+olNJpp9lNV5IqxfDhMHhwPrebriqEBb+UykMPNfxgrt10Jam4GnfT3Xdfu+mqYljwSynYTVeSKkdT3XSvvDJtJqkFLPil9mY3XUmqLI276d50k910VVEs+KX2ZjddSaocTXXT3XrrdHmk+WDBL7WnDz+EI4/M53bTlaTimj4d+vWzm64qXk0U/CGE0SGErMzXmNT5VCNmzYIBA2DcuDi3m67UJNdsFcb/+3/w/PNxbDddVbBOqQO0o3HAZU1cn9jeQVSj7KYrtYRrttJ64gk4//x8bjddVbBaKvi/ybLszNQhVKPspiu1lGu20rGbrqpMTdzSIyVlN11JqiyNu+kOHmw3XVW0Wtrh7xpC6AesBEwCXgYez7JsVtpYqnql3XS7dYu38thNV5ob12ylcdddDbvpXnVVPHdfqmC1VPAvC9zc6Nr7IYQDsix7bG5PDiE8V+ZHay5wMlWvxt10L70U1lgjXR6pcrhmq/011U13n33S5ZFaSa28P/UnYFviC0h3YF3gWqA38LcQwvrpoqlqvfoq7LVXPrebrjSvXLPV/saPj+v0l1/Gud10VUVqYoc/y7L/1+jSf4DDQggTgeOBM4Hd5vI7+jR1vW4XaYNWiKlq8vHH8JOfwNdfx/kyy9hNV5pHrtlqd9Omwe67w4svxnnHjnbTVVWplR3+cq6p+75F0hSqLl9/HYv9jz+O8x49YORIu+lKC841W61v9mwYOBD+8Y/82nXX2U1XVaXWC/7P6753T5pC1WPKFNhll/xDup07w4gRsIEbilIrcM1W68oyOO44uP32/NrZZ8Mvf5kuk9QGar3grz8I/b2kKVQdZs2KH/B64on82k03wXbbpcskVRfXbLWuiy+G3/8+nx95ZDxZTaoyVV/whxC+G0Lo1cT1bwNX1E2Htm8qVZ0siy8Ud9+dX7v0Uk93kFrINVvt5uab4aST8vkee8Ti389aqQrVwod2+wKnhBAeAd4HJgCrAjsCCwEjgYvTxVNVOOssuPbafH7CCXDssenySJXLNVtt7/77G962s+WWMHRo/LCuVIVqoeB/BFgD+D7x7eDuwDfAE8Qznm/OsixLF08V77rr4P/+L5/36wcXXJAuj1TZXLPVtp55BvbcE2bOjPN1143vzi60UNpcUhuq+oK/rkHLXJu0SPPlnnvg8MPz+Q47wI032oJdmk+u2WpTb78NP/sZTJoU5yutBH/7m8dvqupZlUjz65//hL33jke6AfTpA3feCV26pM0lSZrTmDHw4x/DF1/Eea9e8MADsPzyaXNJ7cCCX5ofr74KO+8MU6fG+aqrxrP2F1kkbS5J0pzGj487+++/H+fdusFf/wprrpk2l9ROLPillmrcRXfppeMu0dJLp80lSZpTfRfdF16I844d4Y47YNNNm3+eVEUs+KWWaKqL7t/+Fnf4JUnFMns27L//nF10d9opWSQpBQt+aV411UX3rrvsoitJRZRlcPzxMGxYfs0uuqpRFvzSvGiqi+7gwbD99skiSZKacfHFcNll+dwuuqphFvzS3DTVRfeSS+J/AEiSiscuulIDFvzS3DTVRfe449LlkSSV17iL7hZb2EVXNc+CX2rO9dc37KK733520ZWkomqqi+4999hFVzXPgl8q55574LDD8vkOO8Af/2gXXUkqorffhh13tIuu1AQrF6kpdtGVpMpR30V37Ng479Ur3tpjF10JsOCX5tRUF9377rOLriQVUbkuumutlTaXVCAW/FKpcl10l1kmbS5J0pymT7eLrjQPLPilek110R050i66klRETXXRvfZau+hKTbDgl2DOLrqdOsUuun36pM0lSZpTfRfd227Lr511Fhx4YLpMUoFZ8Et20ZWkynLJJQ276B5xBJx+ero8UsFZ8Ku2leuiu99+6TJJksq7+WY48cR8vsce8Ic/2EVXaoYFv2pb4y66xx9vF11JKqoHHrCLrjQfLPhVu5rqonvhhenySJLKe/bZuJtf30V3nXXsoivNIwt+1abGXXS3394uupJUVG+/Hc/aL+2ie//9dtGV5pHVjWpP4y66G2wAw4fbRVeSisguutICs+BXbXnttTm76I4caRddSSoiu+hKrcKCX7Xj44/jLpFddCWp+Jrqonv77XbRleaDBb9qQ+Muut2720VXkoqqXBfdnXdOFkmqZBb8qn6TJ8PPf24XXUmqBHbRlVpdp9QBpDb13nvxLeGXXsqvDR4MO+yQLJIkqYyJE2Nhf8cd+TW76EoLzIJf1evvf4+n8dTfsw9w0UV20ZWkInrnHdhtN/jPf/Jru+9uF12pFXhLj6pPlsF558V79uuL/S5d4v2fJ5yQNpskaU4jR8JGGzUs9g8/PN7WYxddaYG5w6/qMmECHHBAPFe/3nLLxfkmm6TLJUma0+zZcM45set5lsVrXbvC1VfHtVxSq7DgV/V46634dvBrr+XXNt883gu67LLpckmS5jRuHAwcGDuf11txxbhBs9FG6XJJVchbelQd7r03vkCUFvu//nU80s1iX5KK5fXXYeONGxb7W20Fzz5rsS+1AQt+VbbZs+NbwbvsEjsyAiy0ENx0U/ygV+fOafNJkhoaMQJ+8AN488382rHHwoMPxoaIklqdt/Socn3zDfTvH9us11tppfhissEG6XJJkuY0axb85jdw7rn5tW7d4IYbYN990+WSaoAFvyrTq6/G+/Xffju/tu22MGwYLLlkulySpDl99VU8Evn++/NrK68cN2jWXz9dLqlGeEuPKs+dd8Z7P0uL/RNPjC8kFvuSVCwvvxzvyy8t9nfYId6vb7EvtQsLflWOWbPglFOgb1+YNCleW3jhuKt/4YXQyTesJKlQhg2DTTeNXc/rnXpqPHe/V690uaQaY4WkyvDll7DPPvFDXfVWXTW+HbzuuulySZLmNHMmnHwyXHppfq1Hj3igwu67p8sl1SgLfhXfCy/EF4jRo/NrP/sZDB0Kiy+eLJYkqQljx8IvfgGPPJJfW331uEGz9trpckk1zFt6VGxDh8IPf9iw2D/jjHjuvsW+JBXLc89Bnz4Ni/1ddoF//9tiX0rIgl/FNGMGHHNMPHZz6tR4bZFF4g7Rb38LHfxXV5IKZfBg+NGP4KOP4jyEuF6PGAGLLZY0mlTrvKVHxfPZZ7DXXvD44/m1NdeMLxprrpkulyRpTtOnx8ZZV12VX1tsMbjlFthxx3S5JP2PBb+K5d//jvfrf/JJfm233eLO0aKLJoslSWrCf/8bT0775z/za9/9btygWW21dLkkNeB9ESqOG26AzTfPi/0QdABb3QAADx5JREFU4Jxz4rn7FvuSVCz/+le8X7+02O/bF556ymJfKhgLfqU3bRoceigcfHB8axigZ0+47z447TTv15ekIskyuOYa2GqruMMPcZ2+8EK4/fZ4/KakQvGWHqX1ySew555xR6jeuuvGt4NXXTVdLknSnKZOhSOPhD/+Mb/Wq1dssLX99ulySWqWBb/SeeKJWOx/9ll+be+946093bunyyVJmtNHH8Eee8Azz+TXvv99uOsu6N07WSxJc+e9Emp/WQZXXAFbb50X+x06wCWXwK23WuxLUtE8+mi8X7+02O/fP96/b7EvFZ47/GpfU6bAYYfBkCH5tSWXjPd9brNNulySpDllGfz+93DCCTBrVrzWqRNcein86lfxcAVJhWfBr/bzwQfxyM3nn8+v9ekT3w5eaaV0uSRJc5o8OR6mcOut+bWll4Y//xm22CJdLkkt5i09antjxsDJJ8M66zQs9vffH0aNstiXpCKZMiXedrnWWg2L/Y03huees9iXKpA7/Go7778PF10UT3OYNi2/3qlTfIv48MN9O1iSimLcuNgt97LL4PPPG/7s4IPh8suha9c02SQtEAt+tb7XXoPzz487Q/X3fNZbe2249lrYbLM02SRJDY0dG4v8K66A8eMb/myppeC88+DAA9Nkk9QqLPjVep55Jr4wjBgx58/+f3v3H+t1dd9x/PkGqgXlx0rVteKCRYGbaFOs2qo1GZKBJalrtFuXGba4sa3RirXUDmacs0ulNTqV2trWMp2OrEuzVLPUdTTO6Ip2WV2dW3cBcaC0SuOoOqWoqGd/nO/dvd977xe4eu/38/mc7/OR3Hzge+69vM3X+z4vzufwOaedlg/ROu88D9KSpDrYtQuuvx5uuy1v4xnquOPgiity0J82rZr6JI0bA7/empTggQfg2mvhe98bOb54cQ76S5a4fUeS6mDbNvjiF+Guu2D//vax+fNhzRq48EI47LBq6pM07gz8enNSgu98Jwf9hx8eOf6Rj8DatXDGGd2vTZI00qOP5ruw3/pW7uFDve99eXHm/PNh8uRq6pM0YQz8GpvXX8+Txbp18Nhj7WOTJuWTctesgZNPrqY+SVK7zZvz4sy9944cO/vsHPSXLfMurFQwA78OzSuv5MOyrrsOtm9vHzvssPyIzSuugBNOqKQ8SdIQKcGmTTnoP/jgyPEPfzjfhT377O7XJqnrDPw6sL174etfz/+w6+mn28emTcun5n7603DssdXUJ0ka9MYb+cEJ117bfu4J5BX8j30sB/1Fi6qpT1IlDPwa3XPP5Ue03Xwz7NnTPjZrFqxaBZdeCu98ZzX1SZIG7d8PGzfmRyJv3do+NmUKrFiRD0BcsKCa+iRVysCvdrt3w4035sNXXnqpfeyYY2D16ryqP316NfVJkgbt2wcbNuRDDp96qn1s6lRYuRI+8xlPNJd6nIFf2c6decLYsKH9VFyAuXPhs5+Fiy6Ct7+9iuokSUO98ALcemteoBl+Ku6MGfDJT8Jll8HRR1dTn6RaMfD3uv7+fAt448bRT8VduxY+/nF429uqqU+SNOjZZ/NWy1tuyaF/qKOOgssvh4svhpkzq6lPUi0Z+HvVD384eCru8Ocxn3oqXHmlp+JKUl3s2gU33JAfouCpuJLGyMDfC1LKe/P7+2HLFrjnnvy4tuE8FVeS6uH553O/7u/Pj9XcuNFTcSW9aT0T+CNiDvA54FxgNvAMcDdwTUrpuSprGzevvQY7duQJYiDcD1yH3/odylNxJdVMT/TslOCnPx3s1UP79u7dnb/OU3EljVFPBP6ImAc8BBwN3ANsAU4HLgPOjYizUkp7DvAt6mXvXti2beQE8fjj8Oqrh/Y9Jk3Ke/PXrIH3vndi65WkMSiuZ+/fD088MTLYb9kCL7546N/HU3ElvUk9EfiBr5AnjlUppS8NvBgRfwFcDnwe+ERFtXX27LOjr/w8+eTYv9f06dDXN/hxwQWeiiuprprZs196qf3O6kDv3r4934Edi8MPz1t2Fi7MPXvZMjjzzImpW1Lxig/8EfEeYCmwE/jysOGrgT8EVkTE6pTS3i6Xl09FfPLJkRPEli0jD7w6FO9+9+AE0dc3+Ot3vcsVIUm1V/uenRL87GejB/uf/GTs32/WrPZePfDr4493u46kcVN84AfOaV03pZTeGDqQUnoxIjaTJ5cPAvd1paJ16+Cxx/IEsXUrvPzy2L5+8mSYN2/kBLFwoY9ik9R09evZ3/xmftDBQLh//vmxf485c0YuxPT15efkuxgjaYL1QuAfOEd8W4fxx8mTx3wOMHlExCMdhhaOuaI778wTx8FMmzYY5IdOFCeckG/3SlJ56tez77sPbr/94J83ZUruz8OD/YIFnk4uqVK9EPgHlrw7PaZm4PVZXagl6+trD/xHHTX6ys+cOT4HX1KvqWfPHurII0ffOjlvnocUSqqlXgj8BzNwLzUd6JNSSu8f9YvzKtIpY/oTV66E5csHJ4rZs8f05ZLUw7rfs5cuhfXrB4P9sce6DUdSo/RC4B9YDeq0uX3GsM+beMuXd+2PkqSGqV/PPumk/CFJDdUL+0W2tq7zO4yf2Lp22i8qSeoee7YkjbNeCPz3t65LI6LtvzcipgNnAfuAH3S7MEnSCPZsSRpnxQf+lNITwCZgLnDJsOFrgCOAOyt5nrMkqY09W5LGXy/s4Qe4mHxM+/qIWAL0Ax8AFpNvC19ZYW2SpHb2bEkaR8Wv8MP/rxidCtxBnjRWA/OA9cAZKaU3caStJGki2LMlaXz1ygo/KaVdwEVV1yFJOjh7tiSNn55Y4ZckSZJ6lYFfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSqYgV+SJEkqWKSUqq6h0SJiz9SpU9/R19dXdSmSNCb9/f3s27fv5yml2VXX0i32bElN1erZvwDuTildOJavNfC/RRGxA5gB7Bzjly5sXbeMa0GaaL5vzeV7N9Jc4H9TSsdXXUi32LN7ku9dM/m+jTS3df2ugb8hIuIRgJTS+6uuRYfO9625fO/0Vvj/T3P53jWT79v4cg+/JEmSVDADvyRJklQwA78kSZJUMAO/JEmSVDADvyRJklQwn9IjSZIkFcwVfkmSJKlgBn5JkiSpYAZ+SZIkqWAGfkmSJKlgBn5JkiSpYAZ+SZIkqWAGfkmSJKlgBv4ui4g5EfGXEfF0RLwSETsj4qaI+KWqa9PoImJ2RKyMiG9HxPaI2BcRL0TE9yPi9yPCn6MGiYgVEZFaHyurrkf1Zs9uHnt2WezZ48ODt7ooIuYBDwFHA/cAW4DTgcXAVuCslNKe6irUaCLiE8CtwDPA/cBTwDHA+cBM4O+A30j+MNVeRBwH/AcwGTgS+IOU0jeqrUp1Zc9uJnt2OezZ48e/5XbXV8gTx6qU0kdTSmtSSucANwILgM9XWp062QacB8xJKV2YUlqbUvo9YCGwC7iAPJGoxiIigNuBPcBXKy5HzWDPbiZ7dgHs2ePLwN8lEfEeYCmwE/jysOGrgb3Aiog4osul6SBSSv+UUvr7lNIbw17fzWAT+tWuF6axWgWcA1xE/nmTOrJnN5c9uxj27HFk4O+ec1rXTaM0oReBzcA04IPdLkxvyf7W9bVKq9ABRUQf8AXg5pTSg1XXo0awZ5fJnt0A9uzxZ+DvngWt67YO44+3rvO7UIvGQURMAX6n9dvvVlmLOmu9T3eR9/H+ScXlqDns2YWxZzeDPXtiTKm6gB4ys3V9ocP4wOuzulCLxscXgJOAe1NK/1h1MeroT4FFwIdSSvuqLkaNYc8ujz27GezZE8AV/vqI1tWnBjRARKwCVpOf2rGi4nLUQUScTl4huiGl9HDV9ago9uwGsWc3gz174hj4u2dgNWhmh/EZwz5PNRURlwA3A/8FLE4p/bzikjSKIbeFtwFXVVyOmseeXQh7djPYsyeWgb97traunfZ7nti6dtovqhqIiE8BtwD/SZ44dldckjo7kvzz1ge8POTglkR+ygrAba3XbqqsStWVPbsA9uxGsWdPIPfwd8/9revSiJg09KkPETEdOAvYB/ygiuJ0cBHxx+Q9oI8Cv5ZS+p+KS9KBvQJs6DB2CnmP6PfJwc5bxxrOnt1w9uzGsWdPIAN/l6SUnoiITeTnOl8CfGnI8DXAEcDXUko+a7aGIuIq4HPAI8BSbwnXX+sfe416DHtE/Bl58vgrT23UaOzZzWbPbh579sQy8HfXxeRj2tdHxBKgH/gA+Zj2bcCVFdamDiLid8kTx+vAPwOr8gGAbXamlO7ocmmSJpY9u4Hs2dJIBv4uaq0YnUpuROcCy4FngPXANa5A1Nbxretk4FMdPucB4I6uVCOpK+zZjWXPloaJlHyimCRJklQqn9IjSZIkFczAL0mSJBXMwC9JkiQVzMAvSZIkFczAL0mSJBXMwC9JkiQVzMAvSZIkFczAL0mSJBXMwC9JkiQVzMAvSZIkFczAL0mSJBXMwC9JkiQVzMAvSZIkFczAL0mSJBXMwC9JkiQVzMAv1UxE3B0RKSIuHWXsz1tj36iiNklSO3u2miBSSlXXIGmIiHgH8CPgGOCMlNKPWq8vATYBW4DTUkq/qK5KSRLYs9UMBn6phiLiTOABYAdwCjAN+HdgJnni+HGF5UmShrBnq+7c0iPVUErpIeAq4ETga8BfA78MrHLikKR6sWer7lzhl2oqIgL4B2BZ66W/SSn9doUlSZI6sGerzlzhl2oq5b+Nf3vISzdVVYsk6cDs2aozV/ilmoqIE4F/A/aT94H+GDg9pfRypYVJkkawZ6vOXOGXaigiDgf+FjgC+C1gHXAyrhhJUu3Ys1V3Bn6pnq4HFgHXpZQ2AVcDm4E/iojfrLQySdJw9mzVmlt6pJqJiI+S94H+C/ChlNJrrdePAx4FpgCLUkr/XV2VkiSwZ6sZDPxSjUTEr5AniEnkCWLHsPFfB+4G/pU8sbza/SolSWDPVnMY+CVJkqSCuYdfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSqYgV+SJEkqmIFfkiRJKpiBX5IkSSrY/wG5tJBybEXLAgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 382 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 279, "width": 424 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')\n", " \n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exercises\n", "---\n", "#### Ex 11.1: import Matplotlib and create our first plot.\n", "- Type the \"import matplotlib.pyplot as plt\" in the Python prompt.\n", " - Plot the line $y=x$ defined by \"np.linspace(-2,2,50)\".\n", " - Display the plot using \"plt.show()\".\n", " - Add the cubic function $x^3$ to your previous plot\n", " " ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "# Ex. 11.1 answers\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure size, aspect ratio and DPI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib allows the aspect ratio, DPI and figure size to be specified when the `Figure` object is created, using the `figsize` and `dpi` keyword arguments. `figsize` is a tuple of the width and height of the figure in inches, and `dpi` is the dots-per-inch (pixel per inch). To create an 800x400 pixel, 100 dots-per-inch figure, we can do: " ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,4), dpi=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same arguments can also be passed to layout managers, such as the `subplots` function:" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 382 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots()\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saving figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save a figure to a file we can use the `savefig` method in the `Figure` class:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"./figures/filename.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can also optionally specify the DPI and choose between different output formats:" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"./figures/filename.pdf\", dpi=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### What formats are available and which ones should be used for best quality?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF. For scientific papers, I recommend using PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). In some cases, PGF can also be good alternative." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Legends, labels and titles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have covered the basics of how to create a figure canvas and add axes instances to the canvas, let's look at how decorate a figure with titles, axis labels, and legends." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure titles**\n", "\n", "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "ax.set_title(\"title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Axis labels**\n", "\n", "Similarly, with the methods `set_xlabel` and `set_ylabel`, we can set the labels of the X and Y axes:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Legends**\n", "\n", "Legends for curves in a figure can be added in two ways. One method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the previously defined curves:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method described above follows the MATLAB API. It is somewhat prone to errors and unflexible if curves are added to or removed from the figure (resulting in a wrongly labelled curve).\n", "\n", "A better method is to use the `label=\"label text\"` keyword argument when plots or other objects are added to the figure, and then using the `legend` method without arguments to add the legend to the figure: " ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'ax' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"curve1\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"curve2\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlegend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mNameError\u001b[0m: name 'ax' is not defined" ] } ], "source": [ "ax.plot(x, x**2, label=\"curve1\")\n", "ax.plot(x, x**3, label=\"curve2\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n", "\n", "The `legend` function takes an optional keyword argument `loc` that can be used to specify where in the figure the legend is to be drawn. The allowed values of `loc` are numerical codes for the various places the legend can be drawn. See http://matplotlib.org/users/legend_guide.html#legend-location for details. Some of the most common `loc` values are:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.legend(loc=0) # let matplotlib decide the optimal location\n", "ax.legend(loc=1) # upper right corner\n", "ax.legend(loc=2) # upper left corner\n", "ax.legend(loc=3) # lower left corner\n", "ax.legend(loc=4) # lower right corner\n", "# .. many more options are available" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following figure shows how to use the figure title, axis labels and legends described above:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 388 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=\"y = x**2\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.legend(); # upper left corner\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formatting text: LaTeX, fontsize, font family" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above is functional, but it does not (yet) satisfy the criteria for a figure used in a publication. First and foremost, we need to have LaTeX formatted text, and second, we need to be able to adjust the font size to appear right in a publication.\n", "\n", "Matplotlib has great support for LaTeX. All we need to do is to use dollar signs encapsulate LaTeX in any text (legend, title, label, etc.). For example, `\"$y=x^3$\"`.\n", "\n", "But here we can run into a slightly subtle problem with LaTeX code and Python text strings. In LaTeX, we frequently use the backslash in commands, for example `\\alpha` to produce the symbol $\\alpha$. But the backslash already has a meaning in Python strings (the escape code character). To avoid Python messing up our latex code, we need to use \"raw\" text strings. Raw text strings are prepended with an '`r`', like `r\"\\alpha\"` or `r'\\alpha'` instead of `\"\\alpha\"` or `'\\alpha'`:" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 284, "width": 396 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the global font size and font family, which applies to all text elements in a figure (tick labels, axis labels and titles, legends, etc.):" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 299, "width": 411 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');\n", "plt.savefig('graph1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A good choice of global fonts are the STIX fonts: " ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'STIXGeneral', 'mathtext.fontset': 'stix'})" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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Tb4ecrmGnkpCoWERk98x/Ap6aBDic9VvY78ywE0nIVCwismsaNsLfvw9z/gB7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\nIulRkKvjNkRClrbFYmaFwJ3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, alternatively, we can request that matplotlib uses LaTeX to render the text elements in the figure:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "matplotlib.rcParams.update({'font.size': 18, 'text.usetex': True})" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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JZKzxUad1snQtbLjN62oSQl1eGSgQCLB+/frp5Uw2bdqk2egiifbIdjj4LLz5TsjJ87qa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\nuR1omuraco+FgC5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# restore\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans', 'text.usetex': False})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting colors, linewidths, linetypes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Colors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With matplotlib, we can define the colors of lines and other graphical elements in a number of ways. First of all, we can use the MATLAB-like syntax where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# MATLAB style line color and style \n", "ax.plot(x, x**2, 'b.-') # blue line with dots\n", "ax.plot(x, x**3, 'g--') # green dashed line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also define colors by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4sWo1L1W9S12ggWuSL+ffej3MFNsIywZFnarxs2i5i9++30Bjq2bKcBMUNWaQ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\nLyohLpJSaqvWuuh8j7ug3xy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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x+1, color=\"red\", alpha=0.5) # half-transparant red\n", "ax.plot(x, x+2, color=\"#1155dd\") # RGB hex code for a bluish color\n", "ax.plot(x, x+3, color=\"#15cc55\") # RGB hex code for a greenish color" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Line and marker styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To change the line width, we can use the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 358, "width": 715 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n", "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n", "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n", "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n", "\n", "# possible linestype options ‘-‘, ‘--’, ‘-.’, ‘:’, ‘steps’\n", "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n", "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n", "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n", "\n", "# custom dash\n", "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n", "\n", "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='--', marker='+')\n", "ax.plot(x, x+10, color=\"green\", lw=2, ls='--', marker='o')\n", "ax.plot(x, x+11, color=\"green\", lw=2, ls='--', marker='s')\n", "ax.plot(x, x+12, color=\"green\", lw=2, ls='--', marker='1')\n", "\n", "# marker size and color\n", "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", " markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exercises\n", "---\n", "#### Ex 11.2: Format our plot.\n", "- Start with your previous plot with the two lines.\n", " - Add a title and labels to the plot.\n", " - Change the line color to red and black and line size to 2.\n", " - Change the markers to squares.\n", " - Insert a legend.\n", " - Change the figure size to a 5x5.\n", " - Save the figure as a pdf file.\n", " " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Ex 11.2 answers\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Control over axis appearance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The appearance of the axes is an important aspect of a figure that we often need to modify to make a publication quality graphics. We need to be able to control where the ticks and labels are placed, modify the font size and possibly the labels used on the axes. In this section we will look at controling those properties in a matplotlib figure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot range" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we might want to configure is the ranges of the axes. We can do this using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatrically getting \"tightly fitted\" axes ranges:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 263, "width": 718 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"default axes ranges\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis('tight')\n", "axes[1].set_title(\"tight axes\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 5])\n", "axes[2].set_title(\"custom axes range\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Logarithmic scale" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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xhk2BNhXjyeHCRCtuUwKzNyVoolWELgOkVCCLnwOVqkHLvk5HolRgOL4Ppt8L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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", " \n", "axes[0].plot(x, x**2, x, np.exp(x))\n", "axes[0].set_title(\"Normal scale\")\n", "\n", "axes[1].plot(x, x**2, x, np.exp(x))\n", "axes[1].set_yscale(\"log\")\n", "axes[1].set_title(\"Logarithmic scale (y)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Placement of ticks and custom tick labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 264, "width": 630 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "ax.plot(x, x**2, x, x**3, lw=2)\n", "\n", "ax.set_xticks([1, 2, 3, 4, 5])\n", "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", "\n", "yticks = [0, 50, 100, 150]\n", "ax.set_yticks(yticks)\n", "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Scientific notation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With large numbers on axes, it is often better use scientific notation:" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 278, "width": 384 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_title(\"scientific notation\")\n", "\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "from matplotlib import ticker\n", "formatter = ticker.ScalarFormatter(useMathText=True)\n", "formatter.set_scientific(True) \n", "formatter.set_powerlimits((-1,1)) \n", "ax.yaxis.set_major_formatter(formatter) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis number and axis label spacing" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 301, "width": 414 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# distance between x and y axis and the numbers on the axes\n", "matplotlib.rcParams['xtick.major.pad'] = 5\n", "matplotlib.rcParams['ytick.major.pad'] = 5\n", "\n", "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"label and axis spacing\")\n", "\n", "# padding between axis label and axis numbers\n", "ax.xaxis.labelpad = 5\n", "ax.yaxis.labelpad = 5\n", "\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# restore defaults\n", "matplotlib.rcParams['xtick.major.pad'] = 3\n", "matplotlib.rcParams['ytick.major.pad'] = 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Axis position adjustments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 313, "width": 402 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"title\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "\n", "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 202, "width": 615 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n", "\n", "# default grid appearance\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# custom grid appearance\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis spines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the properties of axis spines:" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 155, "width": 400 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,2))\n", "\n", "ax.spines['bottom'].set_color('blue')\n", "ax.spines['top'].set_color('blue')\n", "\n", "ax.spines['left'].set_color('red')\n", "ax.spines['left'].set_linewidth(2)\n", "\n", "# turn off axis spine to the right\n", "ax.spines['right'].set_color(\"none\")\n", "ax.yaxis.tick_left() # only ticks on the left side" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Twin axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 257, "width": 472 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", " \n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axes where x and y is zero" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 231, "width": 349 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n", "\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n", "\n", "xx = np.linspace(-0.75, 1., 100)\n", "ax.plot(xx, xx**3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exercises\n", "---\n", "#### Ex 11.3: Subplots\n", "\n", "*1.*\n", "- Import pyplot as \"plt\" (as before).\n", "- Run the line: fig, ax1 = plt.subplots()\n", "- You can now create your first plot using \"ax1\" instead of \"plt\".\n", " - Our data set is:\n", " Time (decade): 0, 1, 2, 3, 4, 5, 6\n", " CO2 concentration (ppm): 250, 265, 272, 260, 300, 320, 389\n", "\n", "- Create a line graph of CO2 versus time.Do not view the plot yet.\n", "- Set the y-axis label to \"[CO2]\" using the \"ax1.set_ylabel\" method.\n", "- Get a second axis object using: ax2 = ax1.twinx()\n", "- Plot the following temperature values to this second axis:\n", " Temp (°c): 14.1, 15.5, 16.3, 18.1, 17.3, 19.1, 20.2\n", "- Set the second y-axis label to \"Temp (degC)\" using the \"ax2.set_ylabel\" method.\n", "- Display the plot using \"plt.show()\".\n", "\n", "\n", "*2.* Let's draw three graphs side by side on a single page.\n", "- Use the \"subplot\" function to select the first of three plots (side-by-side).\n", "- Plot a line of values: range(0, 10, 1).\n", "- Select the second plot with \"subplot\".\n", "- Plot a line of values: range(10, 0, -1).\n", "- Select the third plot with \"subplot\". f. Plot a line of values: [4] * 10\n", "- Display the plot using \"plt.show()\".\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other 2D plot styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "n = np.array([0,1,2,3,4,5])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 209, "width": 717 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n", "axes[0].set_title(\"scatter\")\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "axes[1].set_title(\"step\")\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "axes[2].set_title(\"bar\")\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", "axes[3].set_title(\"fill_between\");\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 224, "width": 233 } }, "output_type": "display_data" } ], "source": [ "# polar plot using add_axes and polar projection\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n", "t = np.linspace(0, 2 * np.pi, 100)\n", "ax.plot(t, t, color='blue', lw=3);" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 724 } }, "output_type": "display_data" } ], "source": [ "# A histogram\n", "n = np.random.randn(100000)\n", "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n", "\n", "axes[0].hist(n)\n", "axes[0].set_title(\"Default histogram\")\n", "axes[0].set_xlim((min(n), max(n)))\n", "\n", "axes[1].hist(n, cumulative=True, bins=50)\n", "axes[1].set_title(\"Cumulative detailed histogram\")\n", "axes[1].set_xlim((min(n), max(n)));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Text annotation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "\n", "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures with multiple subplots and insets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### subplots" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "image/png": { "height": 262, "width": 407 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = plt.subplot2grid((3,3), (2,0))\n", "ax5 = plt.subplot2grid((3,3), (2,1))\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### gridspec" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "import matplotlib.gridspec as gridspec" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 262, "width": 407 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", "for g in gs:\n", " ax = fig.add_subplot(g)\n", " \n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### add_axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Manually adding axes with `add_axes` is useful for adding insets to figures:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 275, "width": 407 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "fig.tight_layout()\n", "\n", "# inset\n", "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n", "\n", "inset_ax.plot(xx, xx**2, xx, xx**3)\n", "inset_ax.set_title('zoom near origin')\n", "\n", "# set axis range\n", "inset_ax.set_xlim(-.2, .2)\n", "inset_ax.set_ylim(-.005, .01)\n", "\n", "# set axis tick locations\n", "inset_ax.set_yticks([0, 0.005, 0.01])\n", "inset_ax.set_xticks([-0.1,0,.1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Colormap and contour figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "alpha = 0.7\n", "phi_ext = 2 * np.pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "phi_m = np.linspace(0, 2*np.pi, 100)\n", "phi_p = np.linspace(0, 2*np.pi, 100)\n", "X,Y = np.meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### pcolor" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 252, "width": 355 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", "cb = fig.colorbar(p, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### imshow" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 252, "width": 305 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "im = ax.imshow(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "\n", "cb = fig.colorbar(im, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### contour" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 252, "width": 380 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "cnt = ax.contour(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface plots" ] }, { "cell_type": "code", "execution_count": 43, "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" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=matplotlib.cm.coolwarm)\n", "\n", "ax.set_xlim3d(-np.pi, 2*np.pi);\n", "ax.set_ylim3d(0, 3*np.pi);\n", "ax.set_zlim3d(-np.pi, 2*np.pi);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Change the view angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can change the perspective of a 3D plot using the `view_init` method, which takes two arguments: `elevation` and `azimuth` angle (in degrees):" ] }, { "cell_type": "code", "execution_count": 54, "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 = $('