{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Tools - matplotlib**\n", "\n", "*This notebook demonstrates how to use the matplotlib library to plot beautiful graphs.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", "
\n", " \"Open\n", " \n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "# Table of Contents\n", "

1  Plotting your first graph
2  Line style and color
3  Saving a figure
4  Subplots
5  Multiple figures
6  Pyplot's state machine: implicit vs explicit
7  Pylab vs Pyplot vs Matplotlib
8  Drawing text
9  Legends
10  Non linear scales
11  Ticks and tickers
12  Polar projection
13  3D projection
14  Scatter plot
15  Lines
16  Histograms
17  Images
18  Animations
19  Saving animations to video files
20  What next?
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting your first graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we need to import the `matplotlib` library." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can output graphs using various backend graphics libraries, such as Tk, wxPython, etc. When running python using the command line, the graphs are typically shown in a separate window. In a Jupyter notebook, we can simply output the graphs within the notebook itself by running the `%matplotlib inline` magic command." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "# matplotlib.use(\"TKAgg\") # use this instead in your program if you want to use Tk as your graphics backend." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot our first graph! :)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.plot([1, 2, 4, 9, 5, 3])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yep, it's as simple as calling the `plot` function with some data, and then calling the `show` function!\n", "\n", "If the `plot` function is given one array of data, it will use it as the coordinates on the vertical axis, and it will just use each data point's index in the array as the horizontal coordinate.\n", "You can also provide two arrays: one for the horizontal axis `x`, and the second for the vertical axis `y`:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([-3, -2, 5, 0], [1, 6, 4, 3])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The axes automatically match the extent of the data. We would like to give the graph a bit more room, so let's call the `axis` function to change the extent of each axis `[xmin, xmax, ymin, ymax]`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([-3, -2, 5, 0], [1, 6, 4, 3])\n", "plt.axis([-4, 6, 0, 7])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's plot a mathematical function. We use NumPy's `linspace` function to create an array `x` containing 500 floats ranging from -2 to 2, then we create a second array `y` computed as the square of `x` (to learn about NumPy, read the [NumPy tutorial](tools_numpy.ipynb))." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "x = np.linspace(-2, 2, 500)\n", "y = x**2\n", "\n", "plt.plot(x, y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's a bit dry, let's add a title, and x and y labels, and draw a grid." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "plt.title(\"Square function\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y = x**2\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Line style and color" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, matplotlib draws a line between consecutive points." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([0, 100, 100, 0, 0, 100, 50, 0, 100], [0, 0, 100, 100, 0, 100, 130, 100, 0])\n", "plt.axis([-10, 110, -10, 140])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can pass a 3rd argument to change the line's style and color.\n", "For example `\"g--\"` means \"green dashed line\"." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([0, 100, 100, 0, 0, 100, 50, 0, 100], [0, 0, 100, 100, 0, 100, 130, 100, 0], \"g--\")\n", "plt.axis([-10, 110, -10, 140])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can plot multiple lines on one graph very simply: just pass `x1, y1, [style1], x2, y2, [style2], ...`\n", "\n", "For example:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([0, 100, 100, 0, 0], [0, 0, 100, 100, 0], \"r-\", [0, 100, 50, 0, 100], [0, 100, 130, 100, 0], \"g--\")\n", "plt.axis([-10, 110, -10, 140])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or simply call `plot` multiple times before calling `show`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot([0, 100, 100, 0, 0], [0, 0, 100, 100, 0], \"r-\")\n", "plt.plot([0, 100, 50, 0, 100], [0, 100, 130, 100, 0], \"g--\")\n", "plt.axis([-10, 110, -10, 140])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also draw simple points instead of lines. Here's an example with green dashes, red dotted line and blue triangles.\n", "Check out [the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot) for the full list of style & color options." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.4, 1.4, 30)\n", "plt.plot(x, x, 'g--', x, x**2, 'r:', x, x**3, 'b^')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot function returns a list of `Line2D` objects (one for each line). You can set extra attributes on these lines, such as the line width, the dash style or the alpha level. See the full list of attributes in [the documentation](http://matplotlib.org/users/pyplot_tutorial.html#controlling-line-properties)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.4, 1.4, 30)\n", "line1, line2, line3 = plt.plot(x, x, 'g--', x, x**2, 'r:', x, x**3, 'b^')\n", "line1.set_linewidth(3.0)\n", "line1.set_dash_capstyle(\"round\")\n", "line3.set_alpha(0.2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Saving a figure\n", "Saving a figure to disk is as simple as calling [`savefig`](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.savefig) with the name of the file (or a file object). The available image formats depend on the graphics backend you use." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.4, 1.4, 30)\n", "plt.plot(x, x**2)\n", "plt.savefig(\"my_square_function.png\", transparent=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Subplots\n", "A matplotlib figure may contain multiple subplots. These subplots are organized in a grid. To create a subplot, just call the `subplot` function, and specify the number of rows and columns in the figure, and the index of the subplot you want to draw on (starting from 1, then left to right, and top to bottom). Note that pyplot keeps track of the currently active subplot (which you can get a reference to by calling `plt.gca()`), so when you call the `plot` function, it draws on the *active* subplot.\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.4, 1.4, 30)\n", "plt.subplot(2, 2, 1) # 2 rows, 2 columns, 1st subplot = top left\n", "plt.plot(x, x)\n", "plt.subplot(2, 2, 2) # 2 rows, 2 columns, 2nd subplot = top right\n", "plt.plot(x, x**2)\n", "plt.subplot(2, 2, 3) # 2 rows, 2 columns, 3rd subplot = bottow left\n", "plt.plot(x, x**3)\n", "plt.subplot(2, 2, 4) # 2 rows, 2 columns, 4th subplot = bottom right\n", "plt.plot(x, x**4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Note that `subplot(223)` is a shorthand for `subplot(2, 2, 3)`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easy to create subplots that span across multiple grid cells like so:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplot(2, 2, 1) # 2 rows, 2 columns, 1st subplot = top left\n", "plt.plot(x, x)\n", "plt.subplot(2, 2, 2) # 2 rows, 2 columns, 2nd subplot = top right\n", "plt.plot(x, x**2)\n", "plt.subplot(2, 1, 2) # 2 rows, *1* column, 2nd subplot = bottom\n", "plt.plot(x, x**3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you need more complex subplot positionning, you can use `subplot2grid` instead of `subplot`. You specify the number of rows and columns in the grid, then your subplot's position in that grid (top-left = (0,0)), and optionally how many rows and/or columns it spans. For example:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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azHWnZLNidwU7D9WZHY6mUVjRwMc7jnDt9CyiwwNiXbxuPbh0J+9tLuNXc0dy8SRjZsNqXQvYhA5wzbRsosOCWfxlkdmhaBpPfFlEWHBQnxmq+PxX+3ly1T6uOyWbm8/IMTucPiGgE3pslOPWdsnmMkqqm8wOR+vDyutaeGtDKZfnZpDUL9zscDxua0ktf3x/J2eOSOY354/WHaBeEtAJHeCG0wYTJPDkyn3dH6xpHvLU6n1Y7XZuPC3wa6p1LRZufWkDif3C+OflE/QUfi8K+ISeGhvJBRPSeHV9MdWNbWaHo/VBdS0WXlp7kPNOGkRmYpTZ4XiUUop73txCaU0zj1w5kfhovcytNwV8Qge46fQcmi02nv1qv9mhaH3Qi2sPUt9q5abTA792/uK6gyzdepi7zxnB5Cy9jLW39YmEPmxADLNGpfDsmv00tbm/XZWmuarFYuPp1fs4bVgSY9NizQ7Ho8pqmvnz0p2cOjSJBX2gackX9YmEDnDzGUOobrLw2vri7g/WNIO8vbGUivpWbj5jiNmheJRSit+8sw27gj9fPK5PLWngS/pMQs/NTiA3K54nVu7DYrObHY7WB9jsisVfFjEuLZZThiSaHY5HfbD1EJ/tKucXs4eTkRDY/QS+rM8kdIBbZg6htKaZt/XSupoXvL+ljH2Vjdwyc0hAD9uraWrj/iXbGZcWy/Uzss0Op0/rG9PVnM4amcJJ6bH85/O9XDQxjdAA2elb8z02u+Lhz/YycmAMc8d4Z8XPu+++m/fee4+wsDCGDBkC0OkC4yKyH6gHbIBVKZXrznn/smw31U0Wnv3RVEL0a8pUferqiwh3zBpO8dFm3swvMTscLYAt2VxKUUUjP581zGvtybNnz2bbtm1s2bKF4cOHA5zoneRMpdQEd5P5niP1vLr+INdMy2LMoMDu9PUHfSqhA8wckcyEjDj+83kBbVbdlq4Zz2qz8/Cnexmd2p85o723Hv+cOXMICXHcdE+bNg3A44PAH/pwF9HhIdx+9jBPn0pzQZ9L6CLCL2YPp7Smmdfy9IgXzXhvbyxlf1UTd8webtpoj6effhqgtounFfCxiOSLyILenmNNYSWf7yrn1jOH6glEPqJPtaG3O21YEpOz4nl0eQGX5aYTHqL3MtSMYbHZWfj5XsalxTJrVIrh5c+aNYvDhw9/5/sPPPAAF1xwwbHHzpp6V5sBzFBKlYlICvCJiOxSSn3Z2YHOhL8AIDPzmyV/7XbFg0t3khYXyXV9ZLExf9AnE3p7Lf2qJ9fx6vpirp2ebXZIWoB4a0MJxUeb+f11YzwysuXTTz894fPPPvss77//Pp999hnR0dGdHqOUKnN+LheRt4GpQKcJXSm1GFgMkJube2z7ryWby9hWWse/fjBeb+7sQ/pck0u7U4YkMnVwAo8uL6DFYjM7HC0AtFntLPysgPEZcZw5wvjaeXeWLVvGX/7yF5YsWUJUVOdjwUUkWkRi2h8Dc4BtPTmPUoqnVu1jbFp/Lhif5nbcmnH6bEJvr6UfqWvlpXUHzQ5HCwCv5xdTWtPML2YPN2Xc+W233UZ9fT2zZ89mwoQJAJkAIjJIRJY6DxsArBKRzcDXwAdKqWU9OY+I8MKPT+bhKybqGaE+pk82ubSblpPI9JxEHltRyPypmUSG6VtHrXdarTYe+byASZlxnD4syZQYCgoKvvW1iByEY00s85yPi4Dx7p4rNjKU2MhQd4vRDNanEzrAHbOHc/l/v+KFtQe4sQ+shqd5xqvrizlU28LfLh0fsLNC8/PzK0XkgJvFJAGVRsTTh8/f5S7bfT6hTx2cwGnDklj0RSFXTcskKqzPXxKth1osNh5dXsDU7ARmDA3cNVuUUsnuliEiee5OZtLn71q3begi8rSIlItIpx0n4rBQRApEZIuITDI+TM/6+azhVDW28dxX7lY+tL7o5a8PcqSulTtMajvXtHaudIo+A8w9wfPnAsOcHwuAx90Py7smZ8VzxvBkFn1RSG2zxexwND/S2Grl0eWFTMtJYHqAr6io+b5uE7pzwkFXExQALgCeUw5rgTgRSTUqQG+5+5wR1DZbeGxFQfcHa5rTf78sorKhlV/OHWl2KP5isT6/5xgxbDEN6DiHvsT5ve8QkQUikicieRUVFQac2jhj02K5eGI6/1u1n+KjTWaHo/mBw7UtLP6ykPNPSmVSZrzZ4fgF50QlfX4PMSKhd9ZoqDr5HkqpxUqpXKVUbnKy2/0rhrvrnOEEBcFfP9ptdiiaH/j7x7ux2+FXunau+QgjEnoJkNHh63SgzIByvS41NpIbT8vhvc1lbDxYbXY4mg/bXlbLmxtKuG5Gtt6hp4dE5DIR2S4idhHxyogTEZkrIrudgzfu8cY5jzv/CQeXGMWIhL4EuNY52mUaUKuUOmRAuaa46YwhJPUL54EPdqJUpzcaWh+nlGNhqrjIUG49c6jZ4fijbcDFdLF+jNFEJBh4FMcAjtHAfBEZ7Y1zd/AMJx5cYghXhi2+DHwFjBCREhG5QURuFpGbnYcsBYqAAuAJ4Ccei9YL+oWHcOec4eQdqGbZtu+uaqdpy3eXs7qgitvPHqZnS/aCUmqnUsqb7ZpTgQKlVJFSqg14BcdgDq9xYXCJIbqdRaOUmt/N8wq41bCIfMBlk9P53+p9PLRsF2ePGkBYSJ9d8kY7jtVm58GluxicFM2VJ3c5Yc9vOGuveUCpUup8s+PxkM4GbpxsUiwepTNVJ0KCg/j1vFEcqGri+bV6spH2jVfWF1NQ3sA9544MlDf624GdRhcqIp+KyLZOPrxaM24Pp5PvBWR7qp7n3oWZI1I4bVgSCz/byyWT0oiL0juy9HX1LRb+9ckepg5OYM7oAWaH4zYRSQfOAx4AfmFk2UqpWUaW56aAGbjRHTGr4y83N1fl5eWZcm5X7TxUx7yFK7lhxmDuO9/bfSiar/nbR7t4dHkhS26bwUnpcWaH0y0RyT/RuiEi8gbwZyAGuKu7JpekpCSVnZ1tbJBaj+Xn51d2ta6OrqGfwKjU/lw+OYNnv9rPNdOzyErsfAcYLfCV1TTz5Mp9XDhhkF8k8+6IyPlAuVIqX0RmnuC4b21B5+uVsL7gRCteBkQjoCfdOWc4IUFB/HnpLrND0Uz0l2W7UMDdgTOJaAbwfRHZj2PUx1ki8sLxB/n6ZEDt23RC70ZK/whuO2soy7YfZvmucrPD0UywuqCSdzeVcdPpOaTFRZodjiGUUvcqpdKVUtnAFcDnSqmrTQ5Lc5NO6C648bQchqb04zfvbqO5Te8/2pe0WGzc9842shKj9CQizefphO6CsJAgHrhwLCXVzSz8fK/Z4WhetOiLQvZVNvKnC8cG7O72SqkVPR2DvutwHVtKajwVkoZjVNXqgkpqm1xf0lsndBednJPIZZPTeeLLInYfrjc7HM0LiioaeGx5Id8fP4jThun2445+9+52/vS+4cPXtQ52H67nqifXsakHb5w6offAvfNGERMRwv+9vRW7PSDnJWhOSinue2cb4aFB3Hf+KLPD8Tkp/SMor28xO4yAVl7fCkBKTLjLP6MTeg8kRIdx77xR5B2o5vX84u5/QPNb724qY01hFb+cO5KUmAizw/E5KTHhxxKO5hnldY43TJ3QPeiyyelMHZzAnz/cRVWD/ocORLVNFv70wQ4mZMRx1dRMs8PxSckx4TS12WhotZodSsAqr28lJEiI78EsdZ3Qe0hEeODCsTS2WnlgqW5DDEQPLdtFdZOFBy4aS1CQ3vS5M+21xvZapGa88vpWkvqF9+h/UCf0Xhg2IIYFp+fw1oZS1hRWmh2OZqD8A0d5+euDXH9KNmMGxZodjs9qb4aq0M0uHlNe30pKf9ebW0An9F677cxhZCREct8722i16rHpgcBis/N/b28jNTaCO2YPNzscn9aeaHQ7uueU17X0qP0cdELvtciwYP54wViKKhp5bHmh2eFoBnhiZRG7Dtdz//fHEB2ulzk6kWNNLjqhe0xlQyvJPeyQ1wndDTNHpHDRxDQeWV7ApmI9ycKfbS+r5V+f7OHcsQM5Z8xAs8PxebGRoYSFBOmhix5itdmpamzTNXRvu//7YxgQE84dr26iqU33+PujFouNO17dRHxUGA9eNM7scPyCiJDcL5yKOl1D94TKhjaUQrehe1tsZCh/v3w8+6saeVCPevFLf/toN3uONPDXS08iPlpvZOKqZD0W3WPa73yS++mE7nWnDEnix6cO5oW1B1m+W6/I6E9WF1Ty1Kp9XDs9i5kjUswOx6+kxITrUS4eUu6880npr9vQTXHnnBGMGBDDL9/YwtHGNrPD0VxQ22zhrtc3k5MUzb3n6un9PZXSP1y3oXtIb6b9g07ohokIDeZfP5hAbZOFX7+1FbO29tNc99t3t1FR38q/fjCByLDAXEnRk1JiIqhustBmtZsdSsBpf6NM0k0u5hk9qD93zhnOsu2HeXNDqdnhaCewZHMZ724q42dnD2N8hv9vKWeG9tpjhV4Cw3AV9a0kRIcRFtKzFO3S0SIyV0R2i0iBiNzTyfMzRaRWRDY5P37boygCyI9Py2Hq4ATuX7Kd4qNNZoejdeJwbQv3vb2ViZlx/GTmELPD8VvHJhfp6f+GK69v7XFzC7iQ0EUkGHgUOBcYDcwXkdGdHLpSKTXB+fGHHkcSIIKDhH9ePh6AO1/bjE0vs+tT7HbFXa9vxmJT/OvyCYQE65vU3kru5+iw0yNdjFde30qyJxI6MBUoUEoVKaXacGwoe0GPz9SHpMdH8fvvj+Hr/Ud5+DO9w5EvWfRlIasKKvnN+aPJToo2Oxy/1l5D1yNdjFdR1+KxhJ4GdFz8u8T5veNNF5HNIvKhiIzpcSQB5uJJaVw6OZ2Fn+3lkx1HzA5HA1bsLudvH+3me+MHMX9qhtnh+L3E6DBEdA3daEopKhpae7UOvysJvbO1G49vR9gAZCmlxgP/Ad7ptCCRBSKSJyJ5FRUVPYvUz4gIf7pwLCelx3LHq5soKG8wO6Q+7UBVIz97eSMjBsTwl0vGIaKXxXVXSHAQidHhVOihi4aqbrJgsSnPtKHjqJF3rM6kA2UdD1BK1SmlGpyPlwKhIpJ0fEFKqcVKqVylVG5ycuDv0RgRGsyiqycTHhLETc/nUd/i+mavmnGa2qzc9Hw+IsLia3KJCtMLbxklJSb82CQYzRjtQxZ7Ou0fXEvo64FhIjJYRMKAK4AlHQ8QkYHirPKIyFRnuVU9jiYADYqL5JErJ7G/qok7X9us9yL1MqUUv3xjC3uO1POf+RPJTIwyO6SA4phcpBO6kY7NEvVEk4tSygrcBnwE7AReU0ptF5GbReRm52GXAttEZDOwELhC6Zk1x0wfksj/zRvFxzuO8OjyArPD6VOeWFnE+1sOcfc5Izl9eODfFXqbY29R3eRipIpezhIFcOne09mMsvS47y3q8PgR4JEen70PuX5GNltLa/nnp3sYmxbLmSP1uiGetmpvJQ99uIt54wZy8xk5ZocTkJJjwqlsaMNuV3q7PoO03/F4apSLZgAR4cGLxjFqYH9+9spG9lc2mh1SQCs+2sRPX97A0JR+/O3S8boT1ENSYiKw2RVHm/T6RUYpr28hOiy4V5us6ITuRZFhwfz3mskEBwkLns+jTneSekRjq5WbX8jHalf895pcvftQJ0QkQkS+dg413i4iv+9NOd9sFq3b0Y3i2Eu05+3noBO612UkRPHolZPYV9nIj5/Jo8Wi9yM1UqvVxoLn89h1uJ6FV0xksJ481JVW4CznUOMJwFwRmdbTQr7ZW1S3oxuloq53s0RBJ3RTzBiaxD8vn8D6A0f5yYsbsNj0anVGsNrs3P7yJlYXVPHXS07S/RQnoBzaJ0eEOj96PJChfSSGHulinPL6nm8O3U4ndJN8b/wg/nThWD7fVc5dr+vhjO5SSnHvW1tZtv0wvz1/NJdMTjc7JJ8nIsEisgkoBz5RSq3raRntNUk9/d84joW5etfkohsXTXTVyVnUNFn420e7iY0M5fffH6M773pBKcWDS3fyen4JPzt7GD86dbDZIfkFpZQNmCAiccDbIjJWKbWt4zEisgBYAJCZmfmdMiJCg+kfEaITukEaW600tdl6NakIdA3ddD+ZOYQFp+fw3D1LwFQAACAASURBVFcH+NeneiGv3nhsRSFPrNzHD6dnccesYWaH43eUUjXACmBuJ891O7s7WY9FN8yxIYs93Niina6hm0xEuPfckdQ2WVj42V5iI0O5QdcwXfbC2gP87aPdXDhhEL/7nr7DcZWIJAMWpVSNiEQCs4C/9KaslJgIPcrFIO1ry/e2hq4Tug8QER68eBx1LRb++P4O+keEcFmuXg2wO0s2l/Gbd7dx9sgU/nbZeD2xpWdSgWed+x0E4ZgB/n5vChoYG8H6/UcNDa6vOuxM6AN6OWxRJ3QfERwk/PuKCdQ/k8cv39xCY6uV62bomnpXXlp3kPve2cqU7AQevWoSoXqjih5RSm0BJhpR1qC4CA7XtmCzK4L1m6pbSmuaAUiLi+zVz+tXgQ8JDwnmyR/mMmvUAO5/bwd/WbZLbzZ9HKUU//pkD79+eyunD0/mmeunEBGqN3g2U1pcFFa74ojeis5tpdXNxEWF9noynE7oPiYiNJjHr5rElSdn8viKQu58fbMep+5ktdn59dtbefizvVw6OZ0nrtVL4fqCtHhHbbK9dqn1XmlNc69r56CbXHxSSHAQD1w4loH9I/jnJ3uoamjjsasm9ekp7M1tNn768kY+3XmE284cyp1zhusOUB/RnoBKq5uZkm1uLP6utLrZrdnNuobuo0SEn509jIcuHsfKvRXMf2ItlQ19cyRBdWMbVz25ls92HeEPF4zhrnNG6GTuQ44ldF1Dd4tSylFDj+99DV0ndB93xdRMFl+Ty54j9Vz6+BoOVPWtVRpLqpu4dNEatpXV8diVk7h2erbZIWnHiQwLJjE6jJJqndDdUdNkoanN5laTi07ofmDW6AG8+ONp1DRbOP8/q3hvc1n3PxQAlm07xHkLV1Fe38rzP5rKueNSzQ5J60JafKSuobup/fql6xp64JucFc+SW09lSHI/fvryRu56fTMNrVazw/KIpjYr9761lZtf2EBmQhTv3jqDk3MSzQ5LO4G0uEhKq5vMDsOvtd/hpMX1fptEndD9SGZiFK/fPJ2fnjWUNzeUcN7ClWwqrjE7LENtK63l/P+s4pX1B7npjBzevOUUcpL7mR2W1o20OEcNXQ+z7b1jY9B1Db3vCA0O4s45I3jlxmlYrHYufXwNj60owObnqzXa7YonVxZx0WOraWy18sINJ3PvuaMIC9H/ov4gLT6SFoudo41656LeKq1uJjI0mPio0F6XoV8tfurknEQ+vP10zhkzkL8u281VT66l+Kh/3vKW1TTzw/99zZ8+2MmZI1JYdvvpzBiaZHZYWg/okS7uK61pIi0+0q0RXH13YHMAiI0K5ZErJ3JGfjL3L9nO2f/4gqunZXHbWUNJiA4zO7xu1TS18diKQp5Zs58ggQcuGsuVUzP1kEQ/dGxyUXUzJ6XHmRyNf3J3UhHohO73RITLczM4fVgy//50D8+s2cdrecXcfEYOPzp1sE/OpGyx2Pjf6v08tqKAhlYrF09M547Zw0iP731nkGaudGdHnq6h954Rb4a+92rXemVgbAQPXXISPz5tMH9dtpu/f7yHZ786wO1nD+MHUzJ8YvEqq83OG/kl/PvTvRyua+HskSncPXcEIwf2Nzs0zU39I0PoFx6ix6L3UmOrleomi66ha982NCWGxdfmkn/gKA99uIv73tnGkyuLuOrkLL4/YVCvl+V0R3l9C+9tPsRL6w5QWNHIxMw4Hr5igh6KGEBEhLS4SJ3Qe8mIMejgYkIXkbnAw0Aw8KRS6qHjnhfn8/OAJuA6pdQGtyLT3DI5K4HXbprOZzvL+c/yAh5YupMHP9zJjCFJXDgxjbljB9LPg2vDNLZa+XjHYd7eWMaqvRXYFYxLi2XR1ZM5Z8wA3U4egPTkot4rrXZv2dx23b6inQvgPwrMBkqA9SKyRCm1o8Nh5wLDnB8nA487P2smEhFmjR7ArNEDKKpo4J1NZbyzsZS7Xt/Mfe9sZfbogZw3LpWT0mNJjY1wK8kqpThS18qWkhqWbj3ER9uP0GxxTGP+ycyhXDhxEENTYgz87TRfkxYXSZ7e6KJXSgwYgw6u1dCnAgVKqSIAEXkFuADomNAvAJ5TjlkFa0UkTkRSlVKH3IpOM0xOcj9+MXs4d8waxoaDNbyzsZT3t5QdW0agf0QII1P7M2pgDCNT+zNyYIxjCBXfTfIKxaGaFnYdrmPnoXp2Ha5j1+F6aposAMRGhnLRpDQumpjG5Mx4vZNQH5EWH0ldi5X6FgsxEb0fS90XlVY3ExIkpMS41yTqSkJPA4o7fF3Cd2vfnR2TBuiE7mNEhMlZ8UzOiuc3549mS0kNOw/Xs+uQIym/kV9CY5vN5fKiwoIZMTCGc8emMio1hpED+zM+I5bwEL3pRF/TcSz6yIE6ofdEaU0zqXERbu/45EpC7+wMx09LdOUYRGQBsAAgMzPThVNrnhQWEkRudgK52QnHvme3O5bw3HGo7tgO5J1J7hfGqNT+ZMRH6Rq4Bnx7LLoeudQzpdVNbrefg2sJvQTouGNxOnD8cn+uHINSajGwGCA3N9e/56oHqKAgISMhiowEPSZc65l0PVu010prmjl1aLLb5bgyOHk9MExEBotIGHAFsOS4Y5YA14rDNKBWt59rWt+S1C+csJCgYyM2NNe0We2U17e6PWQRXKihK6WsInIb8BGOYYtPK6W2i8jNzucXAUtxDFkswDFs8Xq3I9M0za8EBTnHousaeo8cqm1GKfdHuICL49CVUktxJO2O31vU4bECbnU7Gk3T/JpjXXSd0Hui/XqlG9CGbv58cE3TAoaeLdpzRo1BBxOn/ufn51eKyAHnl0lApVmxHEfH0jVfikfH0rmOsWR1dZCIZADPAQMBO7BYKfWwuyfPSoqisqFVj0XvgX2VjYQECYO8NMrFI5RSx7p0RSRPKZVrViwd6Vi65kvx6Fg614NYrMCdSqkNIhID5IvIJ8fNAO+xIc7dpfZVNupldF1UVNFAVmKUIQvo6SYXTeuDlFKH2tdbUkrVAztxTAZ0y5DkaAAKKxrcLarPKKxoNGybRZ3QNa2PE5FsYCKwzt2yMhOiCQ4Siioa3S2qT7Da7ByoaiTH+UboLl9J6IvNDqADHUvXfCkeHUvnehSLiPQD3gR+rpSq6+T5BSKSJyJ5FRUV3ZYXFhJEZkKUrqG7qLi6GYtNHWuqcpdPJHTnDFKfoGPpmi/Fo2PpXE9iEZFQHMn8RaXUW12Vp5TKVUrlJie7NpMxJyla19BdVOR84xsSYDV0TdO8yLmHwVPATqXUP40se0hKP4oqG7HZ9eoe3Wm/k8lJ8uMauohcJiLbRcQuIl32yIvIfhHZKiKbRCTP5FjmishuESkQkXs8FEuCiHwiInudn+O7OM5j16W739O5vMNC5/NbRGSSkefvYSwzRaTWeR02ichvPRjL0yJSLiLbunjem9elu1hcuS4zgGuAszocN8+I+HKSommz2inTM0a7VVTRSEJ0GPEGbepuVg19G3Ax8KULx56plJrgwWFh3cbSYZOPc4HRwHwRGe2BWO4BPlNKDQM+c37dFcOvi4u/Z8fNTBbg2MzEcD245iud12GCUuoPnojF6Rlg7gme98p1cTEW6Oa6KKVWKaVEKXVSh+OWdlZQTw1JcdQ2dTt694oqGg1rbgGTErpSaqdSarcZ5z6ei7Ec2+RDKdUGtG/yYbQLgGedj58FLvTAOU7Eld/z2GYmSqm1QJyIpJoUi9copb4ETrQdj7euiyuxmConqX3oom5H705hRYNhzS3g+23oCvhYRPKda6mbpasNPIw2oH2VSufnlC6O89R1ceX39Na1cPU800Vks4h8KCJjPBCHq7x1XVxl2nVJiA4jNjL0WIef1rmapjaqGtsMG7IIHpwpKiKf4phWfLz/U0q962IxM5RSZSKSAnwiIructRNvx+LSBh7uxtKDYgy5Lp2F18n3erWZiZdi2QBkKaUanO2/7+Bo8jCDt66LK0y9LiLCkORo3eTSjfY7GKOGLIIHE7pSapYBZZQ5P5eLyNs4bsN7nLgMiMWlDTzcjUVEjohzL1bn7Xp5F2UYcl06YdhmJt6IpeO4aaXUUhF5TESSlFJmrKvirevSLV+4LjnJ/fhyT/fj1vuy9jsYI2vo4lj51vuSkpJUdna2KefWtL4gPz+/EjgPeANHjd2tF3tubq7Ky3NtUNXjKwr5y7JdbL1/jl6kqwsPfbiLp1YVseMPc3u0jouI5Hc1GMLQGrqI7AfqARtg7eqkInLR5MmTcfWfQ9M0h5qmNqLCQggL6T4BiEg0sBC4wt1k3lPttc6iikbGZ+hFujpTVNFAZoIxi3K180SnaLfD6ZRSb3vgvJoW0Cw2Owuez+f6Z77Gxfy8Qyk1TSm1xtOxHa+9XbioUrejd6WostHQ9nPw/VEumqY5/XXZLr7ed5TLJmfgmOjpuzIToggOEgrL9dDFznyzKJdvJ3RfGWaoaQFl6dZDPLFyH9dOz+LCiWaOhnRN+yJduobeufZFuYzsEAXjR7mccDidM8kvAMjMzDT41JoWmArKG7j79c1MzIzjvvM8MUHZM4YkR+saehcKy9sX5fLhGnrH4XRA+3C6js/3eOU2TevLGlut3PxCPhGhwTx21SSXOkN9RU5yP/ZVNWK12c0OxecUGrzKYjvD/jtEJNq5lVV77/ocHOukaJrWC0opfvXmFooqGvjP/Imkxrq/56Q3jRwYQ5vVTlGlrqUfb8ehOgb2jyAuyphFudoZ+XY/AFglIpuBr4EPlFLLDCxf0/qU/63ez/tbDnHXOSM4ZWiS2eH02Li0WAC2lNSaHInv2VpSy7j0WMPLNSyhOxdRGu/8GKOUesCosjWtr8nbf5QHl+5k9ugB3HLGELPD6ZWc5H5EhQWzrVQn9I7qWywUVTYee8Mzkv80yGlaH1FR38pPXtxAenwk/7h8vM8PUexKcJAwZlB/tuqE/i3byxwrM+iErmkBrrKhlWueWkddi4XHr55Mfz+fNj82LZYdZXV696IO2u9YxuqErmmB63BtC5f/9ysOVDXxxLW5jErtb3ZIbhuXFkuzxaZXXuxga2ktqbERJMeEG162Tuia5gOKjzZx2X/XUF7XynM3TOW0YYExrFd3jH7X1pJaj9TOQSd0TTNdYUUDly36irpmKy/++GSmZCeYHZJhdMfot3myQxQ8uB66pmnd23mojmueWgfAKwumBUQzS0e6Y/TbPNkhCrqGrmmm2VxcwxWL1xISFMSrN00PuGTeTneMfsOTHaKgE7qmmeKTHUe46sl19I8M4fWbpxu+pocv0R2j3/BkhyjohK5pXtXQauVXb2zhxufyyEyI4rWbppOREGV2WB7V3rywVXeMsrXUcx2ioBO6pnlN3v6jnPvwl7yeX8xPZg7hnVtn+N36LL3R3jHa19vR61ssFFV4rkMUdKeopnlcm9XOvz/dw6IvCkmPd9TKc00eySIiTwPnA+VKqbGePJfuGHXwdIco6Bq6pnnUniP1XPjoah5bUcjluRksvf0005O50zPAXG+dTHeMer5DFHQNXdM8oqS6icdXFPJ6XgkxESE8cW0us0cPMDusY5RSX4pItrfONyEjjv+t3s+OsjqPrDLoD/IPVJMWF+mxDlHQCV3TDHWwqonHVhTwRn4JInBZbga/mD2cpH6eexH7g+lDEgFYXVjZJxO6za5YU1jFOWM8+6auE7qmGaCoooFHlxfyzqZSgoOEq07O5KYzhjAozr87PY3aNjIlJoIRA2JYXVDJzX66HLA7tpfVUttsYYaH17XXCV3TeqnFYuOLPRUs2VTGh9sOERYSxHWnZHPT6Tmk9I8wOzxDKKUWA4sBcnNz3WoAnzE0iRfXHaDFYiMiNNiQ+PzFqoJKAE4ZohO6pvmMFouNL/dU8MHWQ3y64wiNbTbio0K58bQcbjw9p883rZzIqcMSeXr1PvIPVHu8puprVhdUMnJgjEfbz0EndE07IaUUpTXNbDhYw/Jd5Xyy4wgNrVbio0L5/oRBzBuXyvScREKC/WvAmIi8DMwEkkSkBPidUuopT55z6uBEQoKEVQWVfSqht1hsrN9fzbXTsjx+LsMSuojMBR4GgoEnlVIPGVW2pnlLi8XG1tJaNhyoZsPBajYerKG8vhWA2MhQzhuXynknpTJ9SCKhfpbEO1JKzff2OfuFhzApM57VzuaHviJvfzVtVjszhnn+TcyQhC4iwcCjwGygBFgvIkuUUjuMKF/TjNRisVFS3cSBKsfHwaNNHKhq5MDRJg5WNWF1jpXOSozilCGJTMqKZ2JGPCNTY/w6ifuCGUOT+Pdne6hpajN8x3tftbKggtBgYaoX5h8YVUOfChQopYoAROQV4AJAJ3St15RSKAVWu8Jis2O1Kdpsdqz2bx63WGw0t9lobLPR3Galqc3m/LBS3WThaEMbVY1tVDe1cbSxjaqGVuparN86T7/wEDITohgxIIZzxw5kYkY8EzLjdHu4B5w6LJF/fQpfFVZx7rhUs8PxitUFlUzMjCc63PMt3EadIQ0o7vB1CXCyQWX7PavNztGmNqobLVQ1tnK0sY2aJgtNxyWgpjYbTa02Wqy2b5KXzY7VrmizOj7b7Aq7cn7Y+eaxAqUAHEmwfTiCUgpvzs1TJzjZt2JxxqicP6BwjNVVyvE72ZzJ3B0hQUJ8dBiJ0WEkRIcxZlB/EqPDSOwXTkZCJFmJ0WQlRJEQHea3GzH7m5PS4+gXHsLKgso+kdCPNraxvayOO2YN98r5jEronb0avvNyNGpMq6/peAu/v6qJg+2370ebqGpoo7bZcsKfjwgNIioshMjQYKLCgokIDSY0WAgNdnw/NFgICQ5yfA4KIkggSAQRIUgca2WIcCwpCTi+dv5ZHI+9p7vk2P60IN+KLThICAqSY79f+0dwEIQGBxESHETYsWvhuB7hIY5rFhUWTGRYMFFhIUQ7H/cLD9GJ2seEBgcxLSehz7Sjf1VYhVJ4rRPYqIReAmR0+DodKDv+ICPHtJqlzWpn56G6Yx1mm4prKK5u+lZtMiY8hMxExy188tBwEo7VEsOJjw4lMTqc+KhQosIdSTw4SCcdre+YMTSJT3eWc6CqkazEaLPD8aiVeyvoFx7CeC/NjjUqoa8HhonIYKAUuAK40qCyTdVmtbO6oJI1hZVsOFjD1tJa2qx2AFJjI5iYGcfFk9LITowmMzFK38JrWjdmjRrA79/bwXuby7jtrGFmh+MxrVYbH247zNmjUrw2rNWQhK6UsorIbcBHOIYtPq2U2m5E2WZos9pZXVjJB1sO8fH2w9S1WAkLCeKktFh+OD2LiZnxTMyM6xNrWWua0TISopiancBbG0u59cyhAVv5Wb6rgtpmCxdNTPPaOQ3rdlVKLQWWGlWet1ltdlYXVvHBljI+2n6E2mYLMREhzBk9kPNPSuWUoYmEh/St6cqa5ikXT0rjnre2sqWklvEZcWaH4xFvbywhOSacU704iarPzxRts9p5e2MJjy4v5ODRJvqFhzBn9ADOOymVU4cl6SSuaR5w7rhUfrtkO29tKAnIhF7d2Mbnu8r54fRsr84i7rMJvdVq4/W8Eh5fUUhpTTPj0mJ57KpJnDUypc8tHKRp3hYbGcrsUQN4b8sh7jt/dMBN2Hp/6yEsNsVFk7zX3AJ9MKG3WGy8ur6Yx1cUcriuhYmZcfzporHMHJ4csG15muaLLp6UxgdbD/HF7gpm+dDmH0Z4e0MJIwfGMDq1v1fP26cS+gdbDvH797ZTXt/K1OwE/n7ZeGYMTdSJXNNMcPrwZBKjw3hrY0lAJfR9lY1sOFjDveeO9Hpu6RMJvbbZwv1LtvP2xlJOSo9l4fyJTMtJNDssTevTQoOD+N74Qbz09UFqmyzERoWaHZIh3t5YighcMMG7zS3QBzaJXlNQybn//pIlm8v4+axhvHnLKTqZa5qPuHRyOm1WOy+sO2B2KIZoarPy0rqDnDYsmYGx3t/kJGATeovFxh/f38GVT64jIjSYt245hZ/PGh5wnS+a5s/GpsVy9sgU/vtFYbdLZPiDZ9ccoLKhldvPHmrK+QMyu20vq+X7j6ziqVX7uHZ6Fh/87LSAHBqlaYHgF3OGU9di5cmVRWaH4pa6FguLvijkzBHJTM7y/FK5nQm4hL5s22EuenQNNU0Wnrl+Cn+4YCyRYXoYoqb5qjGDYjnvpFSeXrWPqoZWs8PptSdX7qO22cKdc0aYFkNAJfR3N5Vy60sbGJPWn2U/P52ZI1LMDknTNBfcMWs4zRYbi74oNDuUXjna2MZTK4uYN24gY9O8sxBXZwImob/y9UF+/uompmTH8/wNJ5MQ3Td2Q9G0QDA0pR8XT0rnua8OcKi22exweuzxFQU0W2z8YrZ31j3vSkAk9KdX7eOet7ZyxvBknrl+Kv28sDOIpmnGuv1sx8qLv3h1M1ab3eRoXLe2qIqnV+/nkknpDE2JMTUWv0/ojy4v4A/v7+CcMQP47zWT9bR9TfNTGQlRPHDROL4qquIfn+wxOxyXlNe1cNtLG8lKjOK33xttdjj+O7FIKcU/Pt7DI8sLuHDCIP5+2XivLoKjaZrxLp2cTv6Bah5fUcjEjDjmjBlodkhdstjs3PrSBhpbrbx048nERJg/McpvM+CfP9zFI8sLmD81g39cPkEnc00LEL/73mjGpcVy5+ubKSivNzucTimleOCDnazfX81Dl4xj+ABzm1ra+WUWfC2vmMVfFnHt9CwevGic3sJN0wJIRGgwj101ibDgIC5+bA1f7qkwO6RvabHY+Pmrm3hmzX6un5FtyhT/rvhdQt9WWstv3tnGjKGJ/O57Y/TCWprWSyIyV0R2i0iBiNxjdjwdZSRE8c6tMxgUF8l1//uaJ1cWoZT52xCX1TRz2aKvWLK5jLvPGcFvzze/3bwjv0roNU1t3PJiPgnRYSy8YqKumWtaL4lIMPAocC4wGpgvIj6VnTISonjzllOYM3ogf/pgJ1c+sY5VeytNSey1TRYWfraXeQtXsq+ykSeuyfXJ7fMM6RQVkfuBG4H2e6NfO7ekM4zdrrjj1U0crm3htZumk9gv3MjiNa2vmQoUKKWKAETkFeACYIepUR0nOjyEx66axHNf7eexFYVc/dQ6xqfHclluBtNyEhiS3M9jSbWh1cqGA9Ws2F3Bq+sP0thm4+yRKdw7b6TpwxO7YuQol38ppf5uYHnf8p/PC1i+u4I/XjCGiZnxnjqNpvUVaUBxh69LgJNNiuWEgoKE62YMZv7Jmby1oZTFXxZx3zvbAEiMDmNUan8G9I9gQP9wEqLDCA8JIjwkmNAQQRDa83174m+v4duVwm6HVqudVquNpjYbFfWtHK5toaSmiZ2H6rHZFSFBwnknpXLLzCGMHOjdDSt6yi+GLa7YXc6/P9vDRRPTuHpaltnhaFog6Kxa+522DBFZACwAyMzM9HRMJxQeEsz8qZlcMSWDA1VNrNtXxbp9R9lX2chXhZWU17ditbvXHBMTEcLA/hEMjI3gljOGcHJOApMy44n2k8mKRkZ5m4hcC+QBdyqlqo0otPhoEz9/dRMjBsTw4EXjfK7NStP8VAmQ0eHrdKDs+IOUUouBxQC5ubnm90riqGlnJ0WTnRTND6Z88yZjtysa26zOGredNqsdpRQKOL7ZPUgc5QSJ440iIjSIiNBgv5+Y6HJCF5FPgc5G+f8f8DjwRxzv8H8E/gH8qJMyevRu32Kx8ZMXN2CzKR6/erJeNVHTjLMeGCYig4FS4ArgSnNDck9QkBATEYpvtm57h8sJXSk1y5XjROQJ4P0uyujRu/3v39vO1tJaFl8zmcFJ0a6GqmlaN5RSVhG5DfgICAaeVkptNzkszU1GjXJJVUodcn55EbDN3TKVUoxO7c/Pzhrq09N/Nc1fOUeiGToaTTOXUW3ofxWRCTiaXPYDN7lboIhwzfRsd4vRNE3rMwxJ6Eqpa4woR9M0Tes9MWs6rYhUAO1bfScBlaYE8l06lq75Ujw6ls51jCVLKZVsVMHHvWZ7y+xrFQjn7/LvalpC/1YQInlKqVyz4wAdy4n4Ujw6ls75UiydMTu+QD+/X63lommapnVNJ3RN07QA4SsJfbHZAXSgY+maL8WjY+mcL8XSGbPjC+jz+0QbuqZpmuY+X6mha5qmaW4yJaGLyGUisl1E7CLSZY+viOwXka0isklE8kyOxeO7u4hIgoh8IiJ7nZ87XSfYk9elu99THBY6n98iIpOMPH8PY5kpIrXO67BJRH7rwVieFpFyEel0FrSXr0t3sXjtuvSGq685g89p6u5M3f3NDKOU8voHMAoYAawAck9w3H4gyexYcKx1UQjkAGHAZmC0B2L5K3CP8/E9wF+8eV1c+T2BecCHOJZfnQas89DfxZVYZgLve/L/o8O5TgcmAdu6eN4r18XFWLx2XXoZv0uvf2/+L5n9/2PUhyk1dKXUTqXUbjPOfTwXYzm2u4tSqg1o393FaBcAzzofPwtc6IFznIgrv+cFwHPKYS0QJyKpJsXiNUqpL4GjJzjEW9fFlVh8mgmvf9P/l7z1N/P1NnQFfCwi+c6ld83S2e4untjqe4ByLnLm/JzSxXGeui6u/J7euhaunme6iGwWkQ9FZIwH4nCVt66Lq3zluvgCX/vbeIzHtuE40frpSql3XSxmhlKqTERSgE9EZJfznc7bsbi0u4u7sfSgGEOuS2fhdfK9439Pw66FAbFswDENukFE5gHvAMM8EIsrvHVdXGH6dTHo9W9YOJ18LyCH93ksoSsX10/vpowy5+dyEXkbx61TjxOXAbG4tLuLu7GIyJH2pYidt+vlXZRhyHXphCu/p2HXwt1YlFJ1HR4vFZHHRCRJKWXGWh3eui7d8oXrYsTr30A+87fxNJ9tchGRaBGJaX8MzMGAddZ76djuLiIShmN3lyUeOM8S4IfOxz8EvlOT8fB1ceX3XAJc6xzVMQ2oVd+shW+kbmMRkYEijj0JRWQqjv/n+ayJxgAAANZJREFUKg/E4gpvXZdu+dh18QXeev2az5s9vR16fC/C8a7ZChwBPnJ+fxCw1Pk4B0dv9GZgO45bNVNicX49D9iDo7fcU7EkAp8Be52fE7x9XTr7PYGbgZudjwV41Pn8Vjw4SsGFWG5zXoPNwFrgFA/G8jJwCLA4/19uMPG6dBeL165LL+Pv9DXn4XN6/PXb07+ZJ86jZ4pqmqYFCJ9tctE0TdN6Rid0TdO0AKETuqZpWoDQCV3TNC1A6ISuaZoWIHRC1zRNCxA6oWuapgUIndA1TdMCxP8D18q/Lo7FTQIAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.subplot2grid((3,3), (0, 0), rowspan=2, colspan=2)\n", "plt.plot(x, x**2)\n", "plt.subplot2grid((3,3), (0, 2))\n", "plt.plot(x, x**3)\n", "plt.subplot2grid((3,3), (1, 2), rowspan=2)\n", "plt.plot(x, x**4)\n", "plt.subplot2grid((3,3), (2, 0), colspan=2)\n", "plt.plot(x, x**5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you need even more flexibility in subplot positioning, check out the [GridSpec documentation](http://matplotlib.org/users/gridspec.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Multiple figures\n", "It is also possible to draw multiple figures. Each figure may contain one or more subplots. By default, matplotlib creates `figure(1)` automatically. When you switch figure, pyplot keeps track of the currently active figure (which you can get a reference to by calling `plt.gcf()`), and the active subplot of that figure becomes the current subplot." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.4, 1.4, 30)\n", "\n", "plt.figure(1)\n", "plt.subplot(211)\n", "plt.plot(x, x**2)\n", "plt.title(\"Square and Cube\")\n", "plt.subplot(212)\n", "plt.plot(x, x**3)\n", "\n", "plt.figure(2, figsize=(10, 5))\n", "plt.subplot(121)\n", "plt.plot(x, x**4)\n", "plt.title(\"y = x**4\")\n", "plt.subplot(122)\n", "plt.plot(x, x**5)\n", "plt.title(\"y = x**5\")\n", "\n", "plt.figure(1) # back to figure 1, current subplot is 212 (bottom)\n", "plt.plot(x, -x**3, \"r:\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Pyplot's state machine: implicit *vs* explicit\n", "So far we have used Pyplot's state machine which keeps track of the currently active subplot. Every time you call the `plot` function, pyplot just draws on the currently active subplot. It also does some more magic, such as automatically creating a figure and a subplot when you call `plot`, if they don't exist yet. This magic is convenient in an interactive environment (such as Jupyter).\n", "\n", "But when you are writing a program, *explicit is better than implicit*. Explicit code is usually easier to debug and maintain, and if you don't believe me just read the 2nd rule in the Zen of Python:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The Zen of Python, by Tim Peters\n", "\n", "Beautiful is better than ugly.\n", "Explicit is better than implicit.\n", "Simple is better than complex.\n", "Complex is better than complicated.\n", "Flat is better than nested.\n", "Sparse is better than dense.\n", "Readability counts.\n", "Special cases aren't special enough to break the rules.\n", "Although practicality beats purity.\n", "Errors should never pass silently.\n", "Unless explicitly silenced.\n", "In the face of ambiguity, refuse the temptation to guess.\n", "There should be one-- and preferably only one --obvious way to do it.\n", "Although that way may not be obvious at first unless you're Dutch.\n", "Now is better than never.\n", "Although never is often better than *right* now.\n", "If the implementation is hard to explain, it's a bad idea.\n", "If the implementation is easy to explain, it may be a good idea.\n", "Namespaces are one honking great idea -- let's do more of those!\n" ] } ], "source": [ "import this" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fortunately, Pyplot allows you to ignore the state machine entirely, so you can write beautifully explicit code. Simply call the `subplots` function and use the figure object and the list of axes objects that are returned. No more magic! For example:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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F3RhzwBizyf6+EsgG4l0dzB1dOz6JnmFB/POb3VZHUUqdpAWr9lLT0MhdU/paHcXpOtSHLiIpNC1Ht66VzaeLSJaIfC4iQ9r4/XNEJENEMkpKSjoc1mqhQQHcdmYfVu4+zKZ9R62Oo5TqoKPH6nh9dR4XDoulb6+uVsdxOocLuoiEA+8B9xpjKlps3gQkG2NGAM8AH7a2D2PMfGNMujEmPTraM9fsvH58Mt1DA3lGr9KV8jgvf7+XY3WN3D21n9VRXMKhgi4igTQV80XGmPdbbjfGVBhjquzvlwKBIhLl1KRuIiw4gFsn9WH5zhKyCsqsjqOUclB5dT2vfp/H9GEx9O/tfVfn4NgoFwEWAtnGmCfbaBNjb4eIjLXv12vH9904IYVuoYE8861epSvlKV7+fi+VtQ3cNcU7r84BAhxoMxG4HtgiIpn27x4EkgCMMS8Cs4DbRaQBOA7MNl78BE54cAC3TEzl71/tYuv+cobGR1odSSl1AuXH63n5+72cN6Q3g2IjrI7jMu0WdGPMKuCEM74bY54FnnVWKE9w48QUXlqZy9Pf7Gb+DelWx1FKncBrq/OorGnw2r7zH+mToicpIiSQm89I5cvth9he1PIesVLKXVTW1LNw1V6mDerNkDjv/te0FvRT8IuJqXQNDtC+dKXc2Otr8ik/Xs89Xn51DlrQT0lkl0B+MTGFz7ceZMdBvUpXyt1U1Tbw0spcpg7sxbAE7746By3op+zmM1IJDw7gmW90jhel3M0ba/Ipq673+r7zH2lBP0XdQoO4aUIKn205oH3pSrmRypp6/vXdHiYPiGZEYjer43QKLehOcNukPkSEBPDkVzutjqKUsnt5VR5l1fXcf84Aq6N0Gi3oThAZGsgvz0rj6+xineNFKTdQVl3HgpW5nD8kxif6zn+kBd1JbpqQQlR4EE8s06t0paz2r+9yqapr4Ffn9rc6SqfSgu4kYcEBzJvcl9V7jvB9zmGr4yjls4ora3j1+zxmjojz2jlb2qIF3YmuGZdEXGQIf1u2U9ceVcoiL6zYQ12jjXun+dbVOWhBd6qQQH/untqPzIIyvs4utjqOUj6nqOw4i9bu44oxCV63GpEjtKA72eVjEkjpGcrfv9yJzaZX6Up1pme+bXoe5C4fGXfekhZ0Jwv09+O+c/qz42Aln245YHUcpXxG/pFjLMko4JpxScR362J1HEtoQXeBi4fHMTCmK//4ahcNjTar4yjlE574cheB/n7Mm5xmdRTLaEF3AT8/4f5zB7D38DHe21RodRylvN6WwnI+ySri1kmp9IoIsTqOZbSgu8i0Qb0YkdiNf369m5r6RqvjKOXV/vrFDrqHBjLnzD5WR7GUI0vQJYrIchHJFpFtInJPK21ERJ4WkRwR2Swio10T13OICP9z/gCKymt4bXWe1XGU8lord5ewKucwd03pR9eQQKvjWMqRK/QG4H5jzCBgPHCHiAxu0eYCoJ/9NQd4wakpPdSEtCjOHhDNc8tzKKuuszqOUl7HZjP85fMdJHTvwrXjk6yOY7l2C7ox5oAxZpP9fSWQDcS3aDYTeN00WQt0E5FYp6f1QA9cMIiq2gaeW67T6yrlbJ9sLmJbUQW/PncAwQH+VsexXIf60EUkBRgFrGuxKR4oaPa5kJ8XfURkjohkiEhGSUlJx5J6qAExXZk1JoHXVudTUFptdRylvEZtQyN/W7aTwbERzBgRZ3Uct+BwQReRcOA94F5jTMuJv1tbRPpnT9UYY+YbY9KNMenR0dEdS+rB7junP35+8PcvdeIupZzlrXX7KDx6nAcuGIif3wnXsfcZDhV0EQmkqZgvMsa830qTQiCx2ecEoOjU43mH2Mgu3HJGKh9mFrF1f7nVcZTyeOXH63nm2xwmpPVkUr8oq+O4DUdGuQiwEMg2xjzZRrOPgRvso13GA+XGGH1MsplfnpVGj7AgHluarRN3KXWKnl+ew9HqOh6cPoimEqXAsSv0icD1wBQRybS/povIXBGZa2+zFMgFcoCXgHmuieu5IkICuXtK0/S6K3b5xv0DpVxh35FqXvk+j1mjExga7zuLVzgioL0GxphVtN5H3ryNAe5wVihvdc24ZF5Zncdjn2UzqW8UAf76XJdSHfWXL7Lx9xN+fZ7vLC3nKK0onSgowI8Hpw9id3EVb63fZ3UcpTzOhrxSlm45yNyz0ujtw4/4t0ULeic7d3BvJqT15MmvdlFeXW91HKU8hs1m+OOn24mJCOG2M1OtjuOWtKB3MhHh4YsGU3G8nqe+2WV1HKU8xsdZRWQVlvOb8wcQGtRub7FP0oJugUGxEcwem8Qba/LJKa6yOo5Sbu94XSN//WIHw+IjuWTkz55ZVHZa0C3yq3P60yXQn8eWZlsdRSm3N/+7XA6U1/B/LxykDxGdgBZ0i0SFB3PX1L58u6OY/+gwRqXaVHi0mudX5HDhsFjG9elpdRy3pgXdQjdNSCWlZyh/+HQ79bqykVKtemxpNiLw4IWDrI7i9rSgWygowI+HLhxMTnEVr6/JtzqOUm7n+5zDLN1ykDsm9/XZdUI7Qgu6xaYN6sVZ/aN56qtdFFfWWB1HKbdR32jjdx9vI6lHKLf5+EpEjtKCbjER4XczhlDbYOMvS3dYHUcpt/H6mnx2F1fx8EWDCQnUuc4doQXdDaRGhTHnzD68/8N+1u8ttTqOUpYrqazlqa92cVb/aKYN6mV1HI+hBd1N3HF2Ux/hIx9tpUFvkCof9/gXO6hpaOSRiwfrbIodoAXdTXQJ8ufhiwax42Alb6zVG6TKd23ML2XJxkJunphKWnS41XE8ihZ0N3LekBgm9YviyS93UVJZa3UcpTpdfaONhz7YSlxkCHdP7Wd1HI+jBd2NiAiPzhhCTUMjf9YnSJUPeuX7vew4WMnvZgwhLFjna+koLehupk90+E83SFfnHLY6jlKdZn/Zcf7x1W6mDerNuUNirI7jkRxZgu5lESkWka1tbJ8sIuXNVjN6xPkxfctdU/qR3DOUhz7cSk19o9VxlOoUv/t4W9OvMwZbnMRzOXKF/ipwfjttVhpjRtpfvz/1WL4tJNCfP10yjL2Hj/H88hyr4yjlcl9uO8hX2w9x77R+JHQPtTqOx2q3oBtjvgN0cHQnO6NfFJeOiueF/+xh96FKq+Mo5TLHahv43cfbGBjTlZvP0IUrToWz+tBPF5EsEflcRIa01UhE5ohIhohklJToDIPteejCQYQFB/DgB1uw2YzVcZRyiae+3kVReQ1/unQogbrO7ilxxtnbBCQbY0YAzwAfttXQGDPfGJNujEmPjo52wqG9W1R4MA9eMIgNeUd5N6PA6jhKOV1WQRkLV+3l6rFJjEnuYXUcj3fKBd0YU2GMqbK/XwoEikjUKSdTAFyRnsC41B48tjRbx6Yrr1LXYON/3ttMr64h/Hb6QKvjeIVTLugiEiP2Z3NFZKx9n0dOdb+qiYjw2GXDqKm38chHrQ40UsojvbBiDzsOVvLHS4YSERJodRyv4MiwxbeBNcAAESkUkVtEZK6IzLU3mQVsFZEs4GlgtjFGO3ydKC06nHum9ePzrQf5bPMBq+Modcp2Hark2eW7mTEijmmDe1sdx2u0+yiWMebqdrY/CzzrtESqVb88sw9fbD3IIx9tZXyfHvQMD7Y6klInpdFm+M2/N9M1JJD/vVjHnDuT3lL2EAH+fvztiuFU1NTzu0+2Wx1HqZP26uo8MgvK+N+LB+uFiZNpQfcgA2MiuGtKPz7JKmLZtoNWx1Gqw/KPHOOJZTuZOrAXM0bEWR3H62hB9zC3T05jcGwED32wlbLqOqvjKOWwRpvh/nezCPAX/njpUJ3n3AW0oHuYQHvXS1l1Hb/XrhflQRaszCUj/yiPzhhCbKQu+OwKWtA90JC4SOad3Zf3f9jPF1t11ItyfzsPVvL3L3dx3pDeXDoq3uo4XksLuoe6a0pfhsVH8tv3t1BcUWN1HKXaVNdg41fvZtI1JIDHLh2mXS0upAXdQwX6+/GPq0ZSXdfIb97bjA79V+7q2W93s62ogscuG6ajWlxMC7oH69srnAenD2LFzhIWrdtndRylfiaroIznVuzhstHxnKeLVricFnQPd8PpyZzZP5o/fZZNbkmV1XGU+kl1XQP3vZNJr67B/O/FbU7CqpxIC7qHExH+Nms4QQF+3PduFvWNNqsjKQU0rUC098gx/n7lCCK76FwtnUELuhfoHRHCY5cOI6ugjGe+2W11HKX4dHMR72YUMm9yGhPSdPLVzqIF3UtcODyWWWMSeGZ5Dqv36OLSyjoFpdX89v0tjEzsxr3T+lsdx6doQfcij84YQmpUGPcuzuRIlc6drjpfQ6ONe9/JxBh4evYoXYGok+nZ9iJhwQE8e/Voyo7Xc/+SLF22TnW6p7/NYWP+Uf506VCSeupiz51NC7qXGRwXwcMXNg1lXLAq1+o4yoesyz3Cs9/u5vLRCcwcqU+DWsGRBS5eFpFiEWl1uRxp8rSI5IjIZhEZ7fyYqiOuG5/M+UNiePyLnWQWlFkdR/mA4soa7nz7B1J6hvHoTB2iaBVHrtBfBc4/wfYLgH721xzghVOPpU6FiPDXy4fTOyKEu97eRHl1vdWRlBdraLRx99s/UFlTz/PXjSY8uN11c5SLtFvQjTHfAaUnaDITeN00WQt0E5FYZwVUJycyNJBnrhnFwfIafvVupvanK5d58qtdrM0t5U+XDGNgTITVcXyaM/rQ44GCZp8L7d8pi41O6s7DFw3mmx3FPLc8x+o4ygt9k32I51fs4eqxiVw+JsHqOD7PGQW9tanTWr0cFJE5IpIhIhklJSVOOLRqz/Xjk7l0VDxPfr2LFTuLrY6jvEhBaTX3vZPJkLgIfbTfTTijoBcCic0+JwBFrTU0xsw3xqQbY9Kjo6OdcGjVHhHhsUuHMaB3V+5ZnElBabXVkZQXqKlvZN6iTRjghWvHEBLob3UkhXMK+sfADfbRLuOBcmOMrrrgRroE+fPidWOwGcPtizZSU99odSTlwYwx/Pb9LWzZX86TV47U8eZuxJFhi28Da4ABIlIoIreIyFwRmWtvshTIBXKAl4B5LkurTlpKVBj/uHIkW/dX8NAHW3X+dHXSFqzcywc/7Of+c/pzzuDeVsdRzbQ7vsgYc3U72w1wh9MSKZeZNrg3d0/tx9Pf7GZATDhzzkyzOpLyMP/ZVcKfP89m+rAY7pzS1+o4qgV9UtTH3Du1HxcMjeHPn+/gm+xDVsdRHiS3pIo739rEgJgInrhihC4l54a0oPsYPz/h71eOYEhcBHe//QM7D1ZaHUl5gIqaem57PYNAfz/mXz+G0CB9eMgdaUH3QaFBAbx0QzphwQHc8toGnZlRnVB9o4073/qB/CPVPH/taBJ76E1Qd6UF3UfFRnZh/g3plFTWcvubm6ht0JEv6ueMMTz84Va+21XCHy8Zyvg+Pa2OpE5AC7oPG5nYjcdnDWd9Xim/+fdmnR5A/czzK/aweEMBd5ydxuyxSVbHUe3QjjAfN3NkPIVHj/O3ZTuJiQjht9MHWR1JuYmPMvfzt2U7mTkyjl+fO8DqOMoBWtAV8yancbC8hn99l0vviBBuPiPV6kjKYutyj/B/lmxmXGoPHp81XEe0eAgt6AoR4XczhnCoooY/fLad3hEhXDhcJ8z0VbsOVTLnjY0k9ujC/OvTCQ7Qx/o9hfahKwD8/YSnrx7F6KTu3PdOJmtzj1gdSVlg35FqrluwjuAAP179xVgiQwOtjqQ6QAu6+klIoD8LbkgnsUcXbnstgy2F5VZHUp2ouKKG6xauo67Rxpu3jtPhiR5IC7r6L93Dgnj9lnFEdAnk+pfX6YNHPqKsuo7rF67nSFUtr/5iLP17d7U6kjoJWtDVz8R368Jbt40jyN+PaxesY+/hY1ZHUi5UVdvAja9sYO+RY7x0YzojE7tZHUmdJC3oqlXJPcN467ZxGGO49qW1FB7VedS9UXVdA7e+toGt+8t57prRTEiLsjqSOgVa0FWb+vbqyhu3jKOqtoFrXlrHwfIaqyMpJ6qua+AXr2xg/d5SnrxyhE6F6wW0oKsTGhwXweu3jKP0WB1XzV/D/rLjVkdSTnCstoGbXt7AhrxSnpo9ipkjdRlgb6AFXbVrZGI3XnPdcMUAAA1gSURBVL9lLKXH6rjyxTXkH9E+dU9WVdvATa+sZ+O+o/xz9ihmjIizOpJyEocKuoicLyI7RSRHRB5oZftkESkXkUz76xHnR1VWGp3UnbdvG091XQNX/msNOcVVVkdSJ6Gypp6bXl7Ppn1lPD17FBdrMfcqjixB5w88B1wADAauFpHBrTRdaYwZaX/93sk5lRsYGh/J4jmn02gzzJ6/hh0HK6yOpDqgpLKW2fPXkllQxjNXj9Kngb2QI1foY4EcY0yuMaYOWAzMdG0s5a4GxHRl8ZzT8fcTZs9fy8b8o1ZHUg4oKK3mihdXs6ekipduTGf6MC3m3siRgh4PFDT7XGj/rqXTRSRLRD4XkSGt7UhE5ohIhohklJSUnERc5Q769gpnyS8n0K1LINe8tJYvtx20OpI6gewDFVz2wmqOVtez6NbxnD2gl9WRlIs4UtBbm2at5cTZm4BkY8wI4Bngw9Z2ZIyZb4xJN8akR0dHdyypcitJPUN57/YJDIyNYO6bG3ljbb7VkVQrNuSVcuW/1uAvwpK5pzMmubvVkZQLOVLQC4HEZp8TgKLmDYwxFcaYKvv7pUCgiOgTCl6uZ3gwb982jrMH9OLhD7fy+Bc7MEYXyXAXH2Xu59oF64juGsx78ybo4/w+wJGCvgHoJyKpIhIEzAY+bt5ARGLEPmGyiIy171en6/MBoUEB/Ov6MVw9NpHnV+zhnsWZ1NTrcnZWstkMTyzbyT2LMxmV2I1/z51AfLcuVsdSnaDd+dCNMQ0iciewDPAHXjbGbBORufbtLwKzgNtFpAE4Dsw2eqnmMwL8/Xjs0mEkdA/liS93knu4in9dn65FxALVdQ386p0svth2kNmnJfL7mUMJCtDHTXyFWFV309PTTUZGhiXHVq7z9fZD3PtOJiGBfjx/7RjGpvawOpLPKCo7zpw3MtheVMGD0wdxyxmputKQFxKRjcaY9Na26Y9u5VTTBvfmwzsmEhHSNALmzbX52q/eCVbsLObCp1eSd7iahTeexq2T+mgx90Fa0JXT9e0Vzgd3TOSMflH83w+3ct87mVTW1Fsdyys1NNp4YtlObnplA70jQvj4zomcPVCHJfoqLejKJSK7BLLwxtO4b1p/Ps4q4qJnVrG5sMzqWF7lxxWGnl2ew1XpiXx4x0T6RIdbHUtZSAu6chl/P+Geaf1YPOd06htsXP7Cal76LhebTbtgTtVX2w8x/emVZBWU8/crRvDXWcMJCdTFnH2dFnTlcmNTe7D0nkmcPaAXf1qazY2vrNdpeE9SRU09v16SxW2vZxDdNYSP7pzI5WMSrI6l3ISOclGdxhjDm+v28eel2QjwwAUDuXZcMn5+evPOESt3l/Cbf2+muLKWeZPTuGtKPx2S6INONMql3XHoSjmLiHD9+GQm94/mt+9v4eGPtvHJ5gP89fLhpEaFWR3PbR09Vsfjy3bw9voC0qLDeO/2Cbrup2qVXqErSxhjWJJRyB8+205dg415k/sy58w+dAnSfuAf2WyGxRsKeHzZDiprGrh5Ygr3nztA+8p93Imu0LWgK0sdqqjh0U+2sXTLQeIiQ3hg+iAuHh7r82OoswrKeOSjrWQVljM2tQd/mDmUATE6F4vSgq48wNrcIzz6yXayD1SQntydRy4ezPAE3+tWyDt8jKe+3sVHWUVEhQfz0PRBzBwZ5/M/4NT/pwVdeYRGm+HdjAKeWLaTI8fqOGdwb+6Z2o+h8ZFWR3O5orLjPPPtbt7NKCTQX7hpQirzzk4jIiTQ6mjKzehNUeUR/P2Eq8cmceHwWF5ZlcfCVblctP0Q0wb14p6p/RmW4H2FvaC0moWr9vLW+n0YY7h+fDLzzk6jV9cQq6MpD6RX6MptVdTU8+r3eSxctZfy4/Wc0TeK609PZurAXgT4e+5wPWMMG/OPsnDVXpZtO4ifCJeNjufuqf1I6B5qdTzl5rTLRXm0ypp63libzxtr8jlQXkNcZAjXjk/mqtMSiQoPtjqew47VNrB0ywHeXLePrIIyIrsEcu24JG44PYWYSL0iV47Rgq68QkOjja+zi3lzbT6rcg4T6C+c1T+amSPjmTaot1sOeWxotLE2t5SPMvfz2ZYDVNc10ic6jF9MTOXy0fGEBmmvp+oY7UNXXiHA34/zh8Zw/tAYcoqreDejgI8zi/g6u5jQIH8m9Yti6qDeTBnYy9Ir98qaetbsOcLX2Yf4avshjlbXExbkz8XD47giPYExyd111IpyCYeu0EXkfOCfNK1YtMAY85cW28W+fTpQDdxkjNl0on3qFbpyhkabYf3eUj7dXMQ32cUcrKgBYGBMV8b36cm41B6MTOpGTESIy4ro0WN1ZBaUsWnfUdbmHmHTvjIabYbw4ACmDerFBcNiOat/tD4QpJzilLpcRMQf2AWcQ9OC0RuAq40x25u1mQ7cRVNBHwf80xgz7kT71YKunM0Yw7aiClbsLGZtbikZ+aXU1NsA6BkWxJD4SNKiw0iNCiOlZxgxkSFEhQfTrUvgCeeTMcZwrK6RkspaisqOs7/sOLklx9h9qJJdxZUUlDZNNObvJwyJi2BSvygm9YtmdFJ3nWtFOd2pdrmMBXKMMbn2nS0GZgLbm7WZCbxuX0d0rYh0E5FYY8yBU8yulMNEhKHxkQyNj+TOKVDXYGNrUTlb9ze9thVVkJFXSnXdfy9iHeAnhAUHEBrkT5dAf5CmK/9Gm6G6rpGK4/U0tJjyN9Bf6BMVzoiEbsw+LYnRSd0ZkRipfeLKUo787YsHCpp9LqTpKry9NvHAfxV0EZkDzAFISkrqaFalOiQowI/RSd0ZndT9p++MMZRU1pJ3pJpDFTWUVNZyuKqWY7UNHK9v/KnY+/sJ/iKEBvsTERJIZJdAeoYHE9+tCwnduxATGUKgBw+dVN7JkYLe2r9FW/bTONIGY8x8YD40dbk4cGylnEpE6BURQq8IHSaovI8jlxiFQGKzzwlA0Um0UUop5UKOFPQNQD8RSRWRIGA28HGLNh8DN0iT8UC59p8rpVTnarfLxRjTICJ3AstoGrb4sjFmm4jMtW9/EVhK0wiXHJqGLf7CdZGVUkq1xqFb8saYpTQV7ebfvdjsvQHucG40pZRSHaG36ZVSyktoQVdKKS+hBV0ppbyEFnSllPISlk2fKyIlQP5J/vYo4LAT4ziLu+YC982muTpGc3WMN+ZKNsZEt7bBsoJ+KkQko63JaazkrrnAfbNpro7RXB3ja7m0y0UppbyEFnSllPISnlrQ51sdoA3umgvcN5vm6hjN1TE+lcsj+9CVUkr9nKdeoSullGpBC7pSSnkJjyjoIvI3EdkhIptF5AMR6dZGu/NFZKeI5IjIA52Q6woR2SYiNhFpcwiSiOSJyBYRyRQRly+k2oFcnX2+eojIVyKy2/5r9zbadcr5au/Pb58O+mn79s0iMtpVWTqYa7KIlNvPT6aIPNJJuV4WkWIR2drGdqvOV3u5rDpfiSKyXESy7f8/3tNKG+eeM2OM27+Ac4EA+/u/An9tpY0/sAfoAwQBWcBgF+caBAwAVgDpJ2iXB0R14vlqN5dF5+tx4AH7+wda++/YWefLkT8/TVNCf07TilzjgXWd8N/OkVyTgU876+9Ts+OeCYwGtraxvdPPl4O5rDpfscBo+/uuwC5X/x3ziCt0Y8yXxpgG+8e1NK2I1NJPi1kbY+qAHxezdmWubGPMTlce42Q4mKvTz5d9/6/Z378GXOLi452II3/+nxY/N8asBbqJSKwb5LKEMeY7oPQETaw4X47ksoQx5oAxZpP9fSWQTdNay8059Zx5REFv4WaafqK11NZC1e7AAF+KyEb7QtnuwIrz1dvYV7Ky/9qrjXadcb4c+fNbcY4cPebpIpIlIp+LyBAXZ3KUO/8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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-2, 2, 200)\n", "fig1, (ax_top, ax_bottom) = plt.subplots(2, 1, sharex=True)\n", "fig1.set_size_inches(10,5)\n", "line1, line2 = ax_top.plot(x, np.sin(3*x**2), \"r-\", x, np.cos(5*x**2), \"b-\")\n", "line3, = ax_bottom.plot(x, np.sin(3*x), \"r-\")\n", "ax_top.grid(True)\n", "\n", "fig2, ax = plt.subplots(1, 1)\n", "ax.plot(x, x**2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For consistency, we will continue to use pyplot's state machine in the rest of this tutorial, but we recommend using the object-oriented interface in your programs.\n", "\n", "# Pylab *vs* Pyplot *vs* Matplotlib\n", "\n", "There is some confusion around the relationship between pylab, pyplot and matplotlib. It's simple: matplotlib is the full library, it contains everything including pylab and pyplot.\n", "\n", "Pyplot provides a number of tools to plot graphs, including the state-machine interface to the underlying object-oriented plotting library.\n", "\n", "Pylab is a convenience module that imports matplotlib.pyplot and NumPy in a single name space. You will find many examples using pylab, but it is no longer recommended (because *explicit* imports are better than *implicit* ones)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Drawing text\n", "You can call `text` to add text at any location in the graph. Just specify the horizontal and vertical coordinates and the text, and optionally some extra attributes. Any text in matplotlib may contain TeX equation expressions, see [the documentation](http://matplotlib.org/users/mathtext.html) for more details." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.5, 1.5, 30)\n", "px = 0.8\n", "py = px**2\n", "\n", "plt.plot(x, x**2, \"b-\", px, py, \"ro\")\n", "\n", "plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='blue', horizontalalignment=\"center\")\n", "plt.text(px - 0.08, py, \"Beautiful point\", ha=\"right\", weight=\"heavy\")\n", "plt.text(px, py, \"x = %0.2f\\ny = %0.2f\"%(px, py), rotation=50, color='gray')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Note: `ha` is an alias for `horizontalalignment`\n", "\n", "For more text properties, visit [the documentation](http://matplotlib.org/users/text_props.html#text-properties).\n", "\n", "It is quite frequent to annotate elements of a graph, such as the beautiful point above. The `annotate` function makes this easy: just indicate the location of the point of interest, and the position of the text, plus optionally some extra attributes for the text and the arrow." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x, x**2, px, py, \"ro\")\n", "plt.annotate(\"Beautiful point\", xy=(px, py), xytext=(px-1.3,py+0.5),\n", " color=\"green\", weight=\"heavy\", fontsize=14,\n", " arrowprops={\"facecolor\": \"lightgreen\"})\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also add a bounding box around your text by using the `bbox` attribute:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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+PB5/fARPPNGTOXM+M0pCd3Bw1FlW3LlIy8rJqAT+uZbAu/3qY2OjfsO0VVe5AITWrEyD6pVYfOCK2c1oDvrfqPre0CXRuHEz5s37lapVvVm58lfGjHmcJk0CCAqqwqhRg9i8WbfBb9myRdjY2PDee7PuJ3OAmjUDmTDhRaPEBRAQUEvveO+TJk0BYMeOLXqfN3r0BJ1kDvDTT9+TlZXFxx/PLpDMATp16kqvXv3ZvHkDycnJRoi+ZCZOfLFAMgcYPfoZAI4fP3J/2YkTxzhy5ACNGjXlpZem6uynShXPUn/pL136E0IIPvjgy/vJHMDLqyqvvfY2AEuW/KjzPD+/mrz22lsFlj366GP4+voXOIfSyP9LJU9xJ1AvKz8fiMTFwZYhLXzVDgUoByV0IQRj2wXw+h+nOBhxl3bB5jULkL43qr43dEkNGjSUvn0HsXfvTg4d2sfp0/9w6NA+/vprLX/9tZZhw0Yzd+5ihBAkJydz+XI4NWr46W1I69AhpyrCGFJSUpg/fzZ//bWG8PCL3LuXXOALNyZGf71yixat9C4/evQgAPv37+b48aM662/fvoVGoyEi4iJNmxrvl0ZxNG0aqrMsb8q1hIT/Gv3Cwg4B0LXrYwW+VI0l73WuVq0GISF1ddZ36tQVgNOn/9FZ16hRU71VYTVq+N1/DUrL0VH3y8ocE/qt5HQ2nLrByNY1cXWyVzscoBwkdIB+Tarz8abzLDoQaSEJ3ThVLnns7e3p2rUHXbv2AHK6M65fv4oXX3yK3377hT59BtGnz8D79dH/TeBbkLH6YWdlZTFgQFeOHz9CvXoNGTToSTw9vbCzy/lQzJr1HpmZ+j/AhcUQH38XgDlzPnvosVNS7pUi8tLRd/VvXulYq9XcX5aYmHOxWbVqOqNnGEXe6+zjo3+4JW/vagXiyK+wK5jt7OyMNoCWpZTQlx+OIkujMLpt4VWYZa1cJHQne1uGm2kXRlOX0PWxtbVl0KChnD17mi+++IC9e3fQp8/A+z1hbt3SP/70rVs39S7PK0VmZ2cX+PkO+pPCxo3rOH78CMOHj2Hu3MUF1t28GfPQXwGFTcuXF3tkZCKVKlUq9Pmllf9cH6TvXEsiL2kW9iultPL+V7Gx+l/P2NiYAtuVNUuoQ8/fVbGWl3E6MRiD1deh5zHXLoymrEMviqtrTm+CvKoOV1dXatUKJibmOleu6M60vm/fLr37cXPL6WZ2/bru2DknToTpLLtyJRyAfv0e11mX1wWvuEJD2wBw6NDeEj3fUHld6vSd6z//6J5rSeSdy44dWwwq9eZVgWg0miK2zOHq6kpgYBAxMdeJiLiks37v3p0ANG6syrQGetsHzK2Ebk5dFfMrNwm9mpszPRvmdGFMzdQtXanFlCX0VauWs3PnVr1JITb2Jr/88gMAbdv+dwHNiBHj0Gq1zJw5tcDzrl69woIF3+g9Tl69dt7+8uzevZ1Vq5brbO/nFwDofkFERl7mvfd0GwEN8fTTz2Nvb8+MGS8THq7bTTMzM5ODB0uf7Js2DcXGxoZVq5YV6EoXHx/HzJlvlHr/OcdoQatW7Th9+gSzZ3+qsz4u7m6BgkBe99ToaMOHjB458ikUReHdd18v8EVw9+4dPv/8fwD83/89VdJTKBV9BRpzS+jm1FUxv3JR5ZJnXLsA/joVw5p/rjOytXnUe5myDj0s7DDz58/G29uH1q07ULNmIJCTnLdu/Yu0tDR69x7AgAFD7j9n8uRX2bhxLRs2rKJLl+Z07foYSUmJrFmzgnbtOukd+2XEiHHMmfMZX331MWfOnKROnfpERFxk27ZN9OkziA0bVhXYvmfPftSqFcx3333J2bOnady4GdHR1/j77z/p3r1PsRJTnpCQusyZ8xMvvPAU7do14NFHexIUFEJ2dhbR0dc4eHAvnp5eHD58vtj7zs/HpxpPPDGSFSuW0LlzU7p370NychLbtm2kbdtOnDql25BYEvPn/0q/fl343/+ms2HDKtq374KiKFy+fImdO//m8OHz9/uad+78KOvW/c7o0YPp3r03Tk7O+PnV5MknRxW6/+eff41t2zaxceM6OnZsQvfuvUlLS2Xdut+5ffsWL774Bm3adDDKuRSXvgKNOVW5nMjtqjjTTLoq5leuEnqL3C6MPx+IZEQr/0LrY8uSKUvokye/SlBQbXbv3sbZs6fYsWMLGRnpeHhUoX37LgwZMoIhQ0YU+D84OjqyevU2Pv10JmvXrmD+/Nn4+wfw6qtv0bfvIL0J3curKhs27Obdd1/n4ME9HDiwm6ZNQ1m9eitXr17RSeguLi6sXbuD99+fxv79uzh0aC81a9bitdfe5rnnXmHNmhUlOt+hQ/+Phg2bMHfuF+zdu5OdO/+mQgUXfHyq07//EAYN0u3XXhJff/0DXl7erFq1nIUL5+Lr68+ECS/ywguvs3at7lWWJVGzZiC7dh3nm29msXHjWn788VscHZ3w9w9g8uRX8fT8b3yiUaOeJirqKqtX/8Y338wiOzub9u07PzShOzg4sHr1Vr777kv++GMZP/wwBzs7Oxo0aMJHH33N448PN8p5lIS593LJ66r4uJl0VcxPqNU3OzQ0VAkLM06dY3H8HhbF63+cYtnTrc2ix8uQIUNYtapgwvvpp5UMHPiEShEV7tq1SJo2DdTbmClJxhIZeZnmzQt2mw0ICODKlSsqRfSfW8nptP9kByNb12Rm/waqxCCEOKYoim4fWMpRHXqefk2q4+HiwKIDkWqHAuj/KWnqXi6SZM7MuQ7dHLsq5lfuErqTvS0jWvmz7VwsUXHqjw9RFv3QJcmS6OvlYg516JnZWn49fJUudcyrq2J+5S6hQ04XRhsh+OVgpNqh6O1q9mBfbkkqT/S9//X1+y9rm87EcDs5g7HtAtQOpVDlMnP4uDnRs6EPK45G8XL3ELMchdEc+fsHEBdnfuPhSNZG/c4K+izan9NVsZOZdVXMr1yW0CGnC2NSejZr/jHN1XiSJFmPE1EJnIhKYEzbmmbXVTG/cpvQW9SsTMMalVi8P9IsR2GUJMl8/HwgkoqOdmbZVTG/cpvQc0ZhDOTSrXsciLirdjiSJJmpW8np/HnqBkNa+JrNqIqFKbcJHaBv42pUcXFg0f5ItUORJMlMLTt8jSyNwhgzbgzNU64Tes4ojP5sP28eXRglSTIvOaMqXqNLHS8CVZ4A2hDlOqGDeXVhlKzbV199zKOPtsTfvxK1a3sxfHg/zp49o3ZY0kNYQlfF/Mp9Qvdxc6JXQx9+OxpFSob6fV0l67Vv3y6eeuo5Nm8+wLp1O7Czs2Pw4G7Ex5vvjPblmaIoLNofSS0z76qYX7lP6ADj2geSnJ7NiqO6Y1xLkrGsWrWFkSPHUb9+Q+rXb8T33y/hzp3bHD68X+3QJD2ORsZzIiqBse0DzLqrYn4yoZPThbFlQGUW7rtClsY402hJUlHu3UtGq9XenzRDMi/zdkfg4eLAEy381A7FYDKh53q2cxDXE9LYcPKG2qFI5cSbb75Eo0ZNadmyrdqhSA+4cDOZHedvMaZtAM4OupNimyuZ0HM9UqcqId4Vmb/7srzQSDK5GTNe4fDhffz886r7U8hJ5mP+7gic7W3NdlTFwsiEnsvGRjCxUxAXYpPZeeGW2uFID/j22y/w8BB8++0XetdfunQBHx9H+vTppHe9KQwe3AMPD8GGDasLLFcUhcmTx+LhIXjvvWk6z5s+/WVWr17O2rU7CAioVVbhSga6npDG+pM3GNbKj8ouDmqHUywyoefTv2l1qrs5MW/X5TI7Zt4s8vkZOtlveZI3HVpY2CG966dOfQGNRsOsWd+WWUzvv/8ZNjY2fPjhWwVes7fffo3ly39m9OhnePfdTwo8Z9q0l1i1ahlr1+4gJKRumcVqSTQa3d5mZfkr5se9OZ//pzta3petHGYwH3tbG8Z3rMX//jzLsavxtKhp+sYqfZNZZGaax2D+5qRJk+Y4Oztz7NhhnXVr1/7Orl1bmTDhRRo0aFzoPr7//msSExMMPmajRk3p02dgoesbNmzCk0+OYvnyn1mxYgkjRozlyy8/4rvvvmTgwKF8+eW8Atu//vpkVqxYwq+/rsXdvTKxsTcBcHGpSMWK5jm+thpMOS1jUeJTMvntSBT9m1SnhrtzmRzTmGRCf8Cwln58s/0S83dHsGC03lmejMrcJ8Q1F/b29jRr1pIDB/YQE3ODatWqA5CSksJbb72Cl1dVpk9//6H7mDfva6Kirhp8zOHDxzw0oQNMn/4Ba9as4NNPZ5KSco8PPphB166PMW/eEp1fXwsXfgfAwIGPFlj+xhvvMm3aTIPjsnYZGerN4rXk0FXSsjRM7BxU9MZmSCb0B7g42jGmbU3m7Awn/NY9gquatuQkS+iGa926PQcO7CEs7BD9+g0G4LPP3ufGjWi+/XYRlSq5PfT5J09GGj2mGjV8efbZKXz99SdMnfoCrVq145dfVuPgoFv3KseSN4y+Erq+WYyMLS1Tw+IDkXStW5U6Pq4mP54pyDp0Pca0C8DRzoYFeyJMfix9b1RzmT/R3LRu3R7gfrXLxYvn+f77r2jZsi3Dh49RLa4qVf67ivCbbxZSoUIF1WKxBvoKNGVRQv/9WBRxKZk8a6Glc5AldL2qVHRkaKgfy49c45XudfBxM13pQJbQDdeqVTuEEPcbRqdOfR6NRsNnn81FiKKv5DN2HTrAqlXLeeed1/D29iE29ibz58/miy++N/gYki41Jk7P1mhZsOcyzf3daRlguRd6yYReiGc61mLp4Wv8tP8K03vXM9lxZB264dzdKxMSUo8TJ8L4449l7N69naeemkTjxs0Mer6x69C3bt3Ic8+NoW7dBqxbt4M+fTqxZMmPTJz4kuzBUgr6CjSmrnL563QM0fFpvN23vkGFA3NVZJWLEOInIcQtIYTeYeGEEF2EEIlCiBO5t3eMH2bZ8/OoQJ9G1Vh2+BqJaVkmO44soRdPmzYdSE1N5ZVXJlKliiczZnxg8HNPnowkLk4x+DZ37uJC93Xo0D7Gjh1C9eq+rFr1N56eXkyf/j+ys7N5/33dvueS4cq6l4uiKMzbfZkgLxe61/M22XHKgiF16IuBnkVss1dRlKa5t4d3NbAgEzvX4l5GNr8eMrxUV1yyDr148urR7927x9tvf0zlyh5lHsOZMycZNqwvlSq5sXr1Vnx8qgEwYMAQmjULZePGdRw8uLfM47IWZd3LZc+lO5yLSWJipyCLGYSrMEUmdEVR9gDlcnzPBtXd6BTixaL9kaRnmeZiH1lCL56aNQMBaN68JaNGjS/z41++HM6QIY8hhOCPP7YQGFiwAe3ttz8G4J13Xi/z2KxFWfdymbcrAu9KjgxoVt1kxygrxurl0lYIcVIIsUkI0aCwjYQQE4QQYUKIsNu3bxvp0Kb1bOda3LmXwarj0SbZv76ELkvohZszJ+fqzFmzDGsINbZatYI5f/4mV67E672IqUuXbsTFKWzdqv+KVqloZdnL5WRUAgcv32V8h0Ac7Sx/TB1jJPTjQE1FUZoAc4C1hW2oKMoCRVFCFUUJ9fKyjAHj29aqQhNfN37YcxmN1vj9iPUndNkoqs8ffyxj8+YNPPXUJJo3b6l2OJKJlGUvl3m7I3B1smN4K3+T7L+slTqhK4qSpCjKvdz7GwF7IYRnqSMzE0IInu0cROTdVDafuWn0/csS+sNFR1/j668/4aWXnuH558dRt24DZs6cpXZYkgmVVQn98u17bP73JqPa1MTVyd7o+1dDqRO6EMJH5P72FUK0yt3n3dLu15z0aOBDoKcL83ZHGH1oXX0XoaSmphj1GJZs27bNvP/+m6xf/we9eg1g1aq/5YU7Vi4lRff97+xs/HFVfth7GXtbG8a1DzT6vtVSZD90IcRyoAvgKYSIBt4F7AEURZkHDAEmCSGygTRgmGJlA4rb2ggmdKrFm6tPcyDiLu2DjfcDxN3dXWdZQkK80fZv6caOncDYsRPUDkMqQ4mJuu//ypWNe7HPraR0Vh27zpBQX7xcy2acmLJQZEJXFGV4Eeu/BcpuzFKVDGpWgy+3XmTe7gijJnQPD91udwkJ5bJTkSQB6J00W9/npDR+2h9JtlbLBAscIvdh5FguBnKyt/22jYcAACAASURBVOWp9oHsvXSHM9cTjbZf/QldltCl8kvf+9+YCT0pPYulh67Sq2E1AjxdjLZfcyATejGMbONPRUc7vt9lvEG79P2U1FdCkaTyQt/735hVLr8eukpyRjYTO1tX6RxkQi+WSk72jG0XwF+nYzh/M8ko+9T3Rk1MTECr1Rpl/5JkafTVoRurhH4vI5sFey7TOcSLxr667VeWTib0Ynq6YyCujnbM3nbJKPtzcHDQma1Gq9WSnGycLwxJsjSmrEP/+UAkCalZvNw9xCj7MzcyoReTewUHnuoQyKYzN/n3hnHq0vW9WWW1i1RemSqhJ6VnsWDPZR6tW5WmftZXOgeZ0EvkqQ6BuDrZ8bWRSun6ql1kw6hUHmk0GpKSdAtK+rr3FteifZEkpmUxpZt1ls5BJvQScXO255mOtdh6NpbT0aUvpcsSuiTl0DcBiZubG7a2pRtnJTEtix/3XaZ7fW8a+T58qkJLJhN6CY1rH4Cbsz1fb7tY6n3JhC5JOUxV3bJw3xWS07OZ0q12qfdlzmRCLyFXJ3smdKrF9vO3OBFl+LRm+ugbqOz69ahS7VOSLJG+972nZ+ku5EtIzeSnfVfo1dCHBtWtt3QOMqGXyph2AVSuYM9XW0tXSg8ODtZZFhFR+pK/JFkafe/72rVLV6r+Ye9l7mVk85KVl85BJvRSqehox8TOQey+eJtjV0teRRISottIIxO6VB6Fh+u+7/V9PgwVl5LJov2R9Glcjbo+lUoTmkWQCb2URretSRUXB77aWvIeL/resOHhF0oTliRZJH3v+9Ik9Pl7IkjL0jDlUesvnYNM6KVWwcGOSV2C2Bd+hyNXSlZKDwwM1GnFj429SVKSvLhIKl/0/TItaUK/cy+DXw5cpX+T6tT2di1taBZBJnQjGNm6Jp4VHUtcl+7g4EBgoO6YzCdPHittaJJkMeLj44iMvKyzvKR16PN3R5CRreHFclI6BwOGz5WK5uxgy3Ndgnj/z7MciLhDu6Dit8o3a9aM8PDwAstGjx7Myy+/SWBgMLVqBePnF4Crq6sqc2lKkjEpikJaWhrXr0dx5Uo4V65EsHTpTzpjGNWqVYtKlYpf930rKZ1fDl5lYNMaBHlVLPoJVkImdCMZ0dqf+Xsi+HrrJdrWqlLspNu7d29+//33AssSExOYOXNqgWW2tra4ubnj5uaOu3tlKlVyv//4wZu7e2UqVnTFwcERR0dHHB2dcHR0vP8476+dnXwbSA+n1WrJyMggMzOD9PR0MjMz7j/OyMggIyOdlJQUEhMTSEyMz/2re0tKSiAhIWd9ZmZmkcft06dPieL9fncE2VqFF8pR6RxkQjcaJ3tbJj8SzDvr/i3RrEa9evVCCFHkFHcajYa4uLvExRlvlj9bW1udRO/k5KST+B0ddZfl39be3h5bW1tsbGywsbHF1rbg7cFlhm5na2uLEDYGbifM5heMVqtFo9Hcv2m1WrRaTYFlOct1lymK1ijbZWdn602++R/rS9IPLsvOzlblf9i3b99iPyc2KZ2lh68xuFkNAq1svPOiyIRuRE+29OP7XRF8ufUi7YKKV0r39vbmueeeY+7cuSaMUD+NRkNqaiqpqallfmxJKkyHDh3o2rVrsZ/33c5wtFqFF7qWr9I5yEZRo3K0yymlH7saz55Ld4r9/M8//5yJEyfKKhCp3OvXrx/Lly8v9mfhRkIay49EMaSFL/5Vyt9k4kKt+ZxDQ0OVsLAwVY5tSpnZWh75fBeero6sfa5diX7+R0dHc+zYMcLDwwvcYmNjSUtLM0HUklT27O3t8fLyIigoiODgYIKDgwkKCqJx48bUq1evRPucseY0K8Oi2PFqF/w8rDOhCyGOKYoSqm+dLAoamYOdDS90DWba6tPsunCbR+pWLfY+fH198fX11bsuIyODhIQEvbf4+HidZcnJybn1pgVv6enp9++r9aUuWZacdpT/bk5OTgUeV6hQgcqVK+Pu7q5z07fc2dnZqO0d0fGprAyLYmion9Um86LIhG4Cj7fwZe6ucL7cepEudbyM+qZ1dHTE29sbb29vo+xPURSys7N1knxhyb+wZenp6WRnZ+s0Aj7YYKfbgFf0NsXZzpy+nIQQOo3ADzbi6rsZezt9ybewZYUtd3BwMJvG5sLM3RmOQDD5Ed2xkcoLmdBNwN7Whhe61uaNP06x8fRN+jSupnZIhRJCYG9vj729vc5UeJJkKSJu32NlWDQjW/tT3d1Z7XBUIxtFTeTx5r7U8Xbl083nycjWqB2OJFm1jzeex9netlxdFaqPTOgmYmsjmN6nHtfiUlly8Kra4UiS1ToYcZdt52KZ1CUIz4qOaoejKpnQTahziBedQrz4Zvsl4lOKvipOkqTi0WoVPtx4lupuTozvoDseUnkjE7qJzehdj3sZ2czZEV70xpIkFcvaE9c5cz2J13vWwcm+dPOOWgOZ0E2sjo8rQ0P9WHIoksg7KWqHI0lWIy1Tw2dbLtCohhsDmtRQOxyzIBN6GXilRwj2tjZ8sum82qFIktX4af8VYhLTmdGnHjY25t2lsqzIhF4Gqro68WznIDb/e5OjkSWfqk6SpBy3kzP4bmc43et706ZWFbXDMRsyoZeRpzsG4l3JkQ/+OodWaz4Xv0iSJfpq20UysrW82auu2qGYFZnQy0gFBzte61GHk1EJbDh1Q+1wJMliXYpN5rcj1/i/NjWpVY4mrzCETOhlaHBzX+pXq8SszRdIz5IXG0lSSXy08Rwujnbl/iIifWRCL0O2NoIZfepxPSGNxQci1Q5HkizOvkt32HnhNs8/EoyHi4Pa4ZgdmdDLWPtgT7rWrcrcHeHcvZehdjiSZDE0WoUP/jqLb2VnxrQLUDscs1RkQhdC/CSEuCWEOFPIeiGE+EYIES6EOCWEaG78MK3L9N51Sc3SMHv7JbVDkSSLsep4NOdvJvNGz7ryIqJCGFJCXwz0fMj6XkDt3NsE4PvSh2Xdgqu6MryVH0sPXyPi9j21w5Eks5eamc3nWy7Q1M+dfmY8eqnaikzoiqLsAR7WeXoA8IuS4xDgLoSQ//EiTOkWgrO9LR9vlBcbSVJRfthzhVvJGbzdt57Zj8uuJmPUodcAovI9js5dpkMIMUEIESaECLt9+7YRDm25PCs6MqlLENvOxXIw4q7a4UiS2bqVlM78PRH0buRDi5oeaodj1oyR0PV9Xeq9ckZRlAWKooQqihLq5eVlhENbtvEdAqnu5sSHG8/Ki40kqRBfbr1IlkbL1J7yIqKiGCOhRwN++R77AvLKGQM42dvyes86nLmexJp/rqsdjiSZnfM3k1gZFsXotgHUrOKidjhmzxgJfT0wOre3SxsgUVGUGCPst1wY0KQGTXzd+HjTeRLTstQOR5LMhlar8PbaM1RytueFruV3ntDiMKTb4nLgIFBHCBEthBgvhHhWCPFs7iYbgctAOPAD8JzJorVCNjaCDwY2Ii4lg8+3XFA7HEkyG38ci+ZoZDzTe9XDvYK8iMgQRU4SrSjK8CLWK8Bko0VUDjXydWN02wB+PhjJ4y18aernrnZIkqSqu/cy+GjTOVoFePBEqK/a4VgMeaWomXi1RwhVXR2Zvvo02Rqt2uFIkqo+3nSee+nZfDiooeymWAwyoZsJVyd73u3XgLMxSXKcF6lcO3T5Ln8ci2ZCp1rU9nZVOxyLIhO6GenV0IdH6njx5daL3EhIUzscSSpzGdkaZqw5jZ+HMy90laMpFpdM6GZECMH7AxqiVRTe2/Cv2uFIUpn7Yc9lIm6n8P6Ahjg7yPFaiksmdDPj51GBFx+tzZZ/Y9l2NlbtcCSpzFy9m8KcHeH0aVSNR+pUVTsciyQTuhl6ukMtaletyLvr/yU1M1vtcCTJ5BRF4a21Z7C3teGdfvXVDsdiyYRuhhzsbPhocCOuJ6TJIXalcuHPUzHsvXSH13qE4F3JSe1wLJZM6GaqZYAHT4b6sXDvFc7fTFI7HEkymcS0LN7/8yyNargxqm2A2uFYNJnQzdi0XnWp5GzP9NWn5eBdktX64u8LORcSDWqErY3sc14aMqGbscouDkzvXY/j1xJYERZV9BMkycKciEpgyaGrjG4bQCNfN7XDsXgyoZu5x5vXoHWgB59sOs8dOQepZCT//ANjxij8+KN6MWRrtMxYc5qqro682iNEvUCsiEzoZk4IwYeDGpKamc1Hf51TOxzJSnz4Ifzyi+CZZ1Atqf988Cr/3kji3X4NcHWyVycIKyMTugUIrurKxE5BrP7nOgfC76gdjmRl1EjqMYlpfPn3BbrU8aJXQ5+yPbgVK3K0Rck8PN81mA2nbvDW2jNsfKmjnPW8EJmZcO2a2lGYv3u5c5M3apPB6UOOPPNMzuOnnzb9sRVFYeb6f9EoCv8bIAffMiaZ0C2Ek70tHwxsyKiFR/h8ywXe6isvvtDnyhWoK2cqM9hjw1Jp3imDn2dVKrOkvu7EDbb8G8vUnnXx86hg2oOVMzKhW5COtb0Y1aYmP+67Qte6VWkX7Kl2SGbL1k7Bq7pG7TDMnmMFhf5PpQCUSVK/npDG2+vO0KJmZSZ0qmWag5RjMqFbmOm967E//A6v/n6SzVM64eYsG5P08fbVMGfzbbXDsBhlkdS1WoXXVp5Eq1X4amhT2efcBGSjqIVxdrDlqyebcis5g3fXnVE7HMmK9H8qhTFv5FyVbIqG0p/2X+Hg5bu8268B/lVkVYspyIRugZr4ufNi19qsPXGDDSdvqB2OZEVMldTP30xi1uYLdK/vLaeUMyGZ0C3U5EeCaOrnzow1p7mZmK52OGbvifq+vDqwG68M6MZrg3tw/vhRox/j8LZNRIVfvP94+TezOHlgDwBnww7zUt8uvDqwGxnphU9e8s6oxwk/fbLUsWz57Rd2rf39odtcOXeGY7u36yw3dlLPyNYw5bcTVHK24+PBjWSvFhOSCd1C2dna8NWTTcnSKLz2+0k51ksRHJyc+GLtNr5ct42RL09n6ZcfG/0YR7ZtITpfQh/+4hs0adcJgL0bVjNg3LN8sXYbjk7ORj/2gx4bNpouA5946DZXzv3LcT0JHYyb1L/cepHzN5P59PHGeFZ0LPmOpCLJRlELFujpwtt96zN9zWl+PhjJuPaBaodkEdJSknFx+2/ckLULv+PApg1kZWbSultPhr34OgCfTB7H3ZgbZGZm0GfU0/R48v8AGNk8mKXHwwE4uPlPwnZto/vQkYTt/JuzRw/yx7yvef2bH/n9u68J7dKNlOREDmzewIl9uzh1cC/dnhjJ+p/mMX3+LwD88P50gho2oevgJwuN+dmurWjfuz9nDh8AYMrnc6lWM5Bb16P5bsYrJMbdxc2jCpM/+hKv6r6smPM5ThVcGDB+Eu+MepzaTZpx5vABUpKSeO7DL6jduBkr5nxGZno6548fYfCEF2jfe0CBYxqjofTQ5bss2HOZ4a38ebSed/GeLBWbTOgWbngrP7adi+WTTefpEOwpJ9UtRGZ6Oq8O7EZmRgYJt28xc3FOdcSJfbuIibzCp79vRFEUPpk0ln+PHqJByzZM/vBLXN0rk5GextQnetO2R29cK3vo3X/d5i0JfaQHoV260bZn3wLruj0xknPHjt5fl5eUi8u5oiuf/r6RXWt/Z9FH7zJ9/i/8+L/pdB4whEcGDWX7quUs/PBtps1dpPNcTbaGT3/fyLHd21k59wtmLlrJky+8TsSZkzzzzkeFHrP/UylkZ8PSL3OSur09jBljWLxJ6Vm8uvIkNT0q8FafeiU6Z6l4ZJWLhRNC8MnjjXBxtGPKihNkZmvVDsks5VW5zNm0l7d+WMo3015EURRO7t/Nyf27eW1Qd14f3IPrV8KJuXoZgI1LFvLKgG68+WQ/7sbcIObqFVXPoUOfgff/XjhxDICLJ47Rse8gADr3H8L5Y0f0PrdNj14ABDVozO3r0QYfMysTzh9zAKBKFYWmTQ140tKlEBCAawVHVnw8jEWOl3BxlGXHsiD/y1agqqsTHw9uxMQlx/h620Xe6CkvlXyYOs1CSY6PIynuLooCgye8QI9howpsc+bwAU4d3MvHv63H0bkC74x6nMyMvNEu/2vUy8ws/giYtna2aJX/vnizDNxH/sbEwtoVC2twtLPPqbu2sbVBk23YtIZZmfDZC5U5ttuJKlUUtm8XNGlSxJOWLoUJEyA1FQH4Jt2GN1+GKi4wcqRBx5VKTpbQrcRjDXwYGurLvN0RHI2MUzscsxZ9+RJajYaK7pVp2qEzO1b/RlpKTn3x3dgYEu/eIfVeEi6V3HB0rkD05UtcPHn8/vPdPb2IjriEVqvl8NZN95c7u7iQlnKvyON7VfclOvwiWZkZpCQncfrgPoPi3r9xXc7fTesJadoCyPly2pe7fM+G1dRt0cqwfwLg7FKR9NzzflCJkjnAjBmQmlpwWWpqznLJ5GQJ3Yq8068BBy/f5ZWVJ9j4Ykc5JGk+eXXoAIoCL3wyG1tbW5p26EL05XCmD+sHgFMFF176bA7NOj7C378t4eX+j1IjMIiQJs3v7+v/XpnOR8+OxtOnOn6165Cem8A69BnA92+/zsZfF/La7B8KjcWzWg3a9erHK/0fpVrNWgTWb2jQOWRnZjJtaB+0Wi0vf/EdAONnfMDcGa+wbuH39xtFDdWwdTvW/PAtrw7sVqBRtMTJHFCuXUPvbwQ5YlqZEIqiTne30NBQJSwsTJVjW7OwyDiGzj/IkBa+zBpi4KfQily4kDM4V/WAbKu69P/Zrq2YtWoTlSpXMelxSpPMAe75+FIx9rruipo1ITLSaHGWZ0KIY4qihOpbJ6tcrExogAeTugSxMiyazWduqh2OZEFKm8zDb93j3bYjyHBwKriiQoWcGTUkk5NVLlbopUdD2HPxDq//fpIQ74rU8qqodkhlLjsLYq5az5jx7y46RkoSpCQZd7/unlqcXZTSl8wzsnn212PcbdaN9D71cfxgZk41i79/TjKXDaJlQla5WKmouFT6f7sPz4qOrJncnorlpNtYXpWLZJjXvo4ntGt6qZK5Vqswaekxtp6N5dfxreWwzib2sCqX8vEpL4f8PCrw7YjmjFp4mNd/P8l3I5uXizE07O0hKEjtKMxfTExO55OsrNKVzAG+3x3Bln9jeatPPZnMVSYTuhVrH+zJm73q8eHGc3y/O4LnugSrHZLJ1aoF4eFqR2H+hgyBVatyLutPuG1b4mS+68ItPv/7Av2bVGd8Bzn0hNpko6iVe7pjIP2aVOezLRfYdeGW2uFIZqY0yfzq3RReXP4PdX0q8enjjcvFL0BzJxO6lRNC8Onjjajj7cqLy//h6l39F5JI5YtDztX8JU7mKRnZTPjlGDY2ggWjWuDsYD0N0JbMoIQuhOgphLgghAgXQkzTs76LECJRCHEi9/aO8UOVSqqCgx0LRoUihGDikmOkZhp26bdkvRYvhuXLKVEyVxSFN1ad4tKtZOYMbyYnejYjRSZ0IYQtMBfoBdQHhgsh9E05v1dRlKa5t/eNHKdUSv5VKjBneDMuxibzxh+nUKt3k2QeHBxg2DCKncwBFuy5zF+nYnijZ1061vYyfnBSiRlSQm8FhCuKcllRlEzgN2BAEc+RzFCnEC9ee6wOf56K4Ye9l9UOR7JAey/d5tPN5+nTqBoTO9VSOxzpAYYk9BpAVL7H0bnLHtRWCHFSCLFJCNFA346EEBOEEGFCiLDbt63nsmxLMqlzEL0b+fDJpvPsu3RH7XAkCxIVl8oLy/+hdlVXZg2RjaDmyJCEru9Ve/D3+nGgpqIoTYA5wFp9O1IUZYGiKKGKooR6ecmfamoQQvDZkCYEV63IC8uPExWXWvSTpHIvLVPDhCXH0GoV5o9qIcc3N1OGJPRowC/fY1+gwFTziqIkKYpyL/f+RsBeCCGvMDBTLo52zB8VSrZWYeKSY6RlatQOSTJjiqIwbfUpzt9MYvbwZgR4uqgdklQIQxL6UaC2ECJQCOEADAPW599ACOEjcn9/CSFa5e73rrGDlYwn0NOF2cOacu5mEm+ulo2kUuEW7rvCuhM3eK1HHR6pU1XtcKSHKDKhK4qSDTwPbAHOASsVRflXCPGsEOLZ3M2GAGeEECeBb4BhiswQZq9rXW9e6RbC2hM3+OLvi0U/QSp3/joVw4cbz/FYA2+e6yLHVDB3BlWE5VajbHxg2bx8978FvjVuaFJZeL5rMNcT0vh2ZzjuFex5uqPsuSDl2HPxNlNW/EML/8p8/WQz2QhqAWTLRjknhODDQY1ITs/mg7/OUcnZnqGhfkU/UbJqx67GM3HJMYKrurJwbEt5JaiFkAldwtZG8OWTTUhKz2LaqlNUcrKnZ0MftcOSVHIuJolxi47gXcmRX55qhZuznMrQUsixXCQAHO1smT+qBU393Hlx+T/sD5d91Mujq3dTGP3TESo42LFkfGu8XB3VDkkqBpnQpfsqONixaGwranm58MwvYfxzLV7tkKQyFJuUzv8tPEyWRsuS8a3kGC0WSCZ0qQC3Cvb88lQrPCs6Mm7xUS7GJqsdklQGElIzGbXwMHH3Mlk8rhW1vV3VDkkqAZnQJR1VKznx6/jWONjaMGrhYXk1qZVLychm7KKjRN5J5YfRoTT1c1c7JKmEZEKX9PKvUoEl41uTnqVl1MLD3EpOVzskyQQysjU8++sxTkUnMGdEMzmFnIWTCV0qVB0fVxaNa0lsUgajFx4hMS1L7ZAkI9JoFab8doK9l+7w6eONeayB7Nlk6WRClx6quX9lFoxuQcTtezy1+KicHMNKKIrC9NWn2XTmJm/1qccT8toDqyATulSkjrW9mD2sGf9ci2fcoqMkpcuSuiXL1miZvuYMK8KieKFrsLw62IrIhC4ZpHejanz1ZFOOX4tn6LyDxCbJOnVLlJ6lYdLS4yw/co3nugTxSvcQtUOSjEgmdMlgA5rW4KexLYmKS2XwdwcIv3VP7ZCkYkhIzWTkj4fZdi6W9/o34I2edeX4LFZGJnSpWDrW9mLFxLZkZGsYMu8Ax67Ki48swfWENIbMO8jp6ETmjmjOmHYBaockmYBM6FKxNazhxupJ7XF3tmfkj4fYdjZW7ZCkhzh/M4nB3+0nNimdX8a3onejamqHJJmITOhSifhXqcAfk9pRx9uVCUvC+O3INbVDkvQ4dPkuT8w7CMDvz7alTa0qKkckmZJM6FKJeVZ0ZNkzbegU4sW01aeZve2SnPnIjGw8HcPohUfwruTE6ufaU9enktohSSYmE7pUKi6OdvwwOpTHm/vy1baLzFh7Bo1WJnW1/XwgksnLjtPI140/nm1LDXdntUOSyoAcD10qNXtbGz5/ojE+bo7M3RnB7eQM5gxvhpO9nBShrCmKwmdbLvDdrgi61/eWr0M5I0voklEIIXj9sbq8178B287FMvLHw9xMlH3Vy1JqZjavrjzJd7siGN7Kn+9HNpfJvJyRCV0yqjHtApg7ojlnbyTRa/Ye/v73ptohlQtnrifSd84+1py4zivdQ/hoUEPsbOXHu7yRr7hkdL0bVePPFztQo7IzE5YcY8aa06RlatQOyypptQo/7LnMoO/2k5qhYenTrXnx0drygqFyStahSyYR5FWR1ZPa88XfF5i/5zKHr8TxzbBm1K8ue1oYy62kdF79/SR7L92hR31vPn28MZVdHNQOS1KRLKFLJuNgZ8ObveuxZHwrktKyGDh3Pwv3XUEre8GU2vZzsfScvZejkXF8NKgR80e1kMlckgldMr2Otb3Y9FJHOoV48r8/zzJu8VFuJ2eoHZZFSs/S8M66M4z/OQyfSk78+UIHRrT2l1UsEiATulRGqlR05IfRofxvYEMOXb5Lr9l72Hn+ltphWZTzN5Po/+0+fjl4lac7BLJmcjuCq8q5P6X/yIQulRkhBKPa1GTDCx3uT0I9c/2/pGfJBtOHURSFnw9E0v/b/cSlZPHzU614q299HO1kl0SpINkoKpW5EG9X1k5uzyebzrP4QCTbz8fyWo869GtcHRsbWXWQ36HLd/lk03lORCXQtW5VZg1pjGdFR7XDksyUUGvsjdDQUCUsLEyVY0vmY3/4HT786xxnY5KoX60SU3vVpVNtz3JfJ3wuJolZm8+z88Jtqrk58Ur3EIa08C33/xcJhBDHFEUJ1btOJnRJbVqtwoZTN/j87wtExaXRLqgKU3vWpYmfu9qhlbmouFS+2nqRNSeu4+pox+RHghnTLkBe8SndJxO6ZBEys7UsO3yVb3aEE5eSSZ9G1XjtsToEerqoHZrJxaVk8u2OcH49dBUhYFz7QCZ1DsKtgr3aoUlmRiZ0yaIkp2fxw94r/Lj3MpnZWoa18uPFR2tT1dVJ7dCMLjUzm5/2XWH+7sukZGbzRAs/pnSvTTU3OTqipJ9M6JJFup2cwZwdl1h2+Br2tjY81SGAYS398fOooHZopRafksnaE9f5blfO6JTd63vzxmN1qO0tuyFKDycTumTRIu+k8PnfF/jzVAwALQMqM6BpDfo0qmZRV0emZ2nYdi6Wtf/cYNeFW2RrFUJrVmZar7qEBnioHZ5kIWRCl6xCdHwq60/eYM3x61y6dQ97W0GXOlUZ1KwGXetWNcuGQ41W4fDlu6z55zqbztzkXkY23pUcGdi0BgOa1qBeNVfZc0UqFpnQJauiKApnY5JY+8911p24wa3kDFwd7ejVyIeBzWrQJrCKqv3ZFUXhXEwya09cZ/2JG9xMSqeiox29GvowqFkNWteqgq3sby+VUKkTuhCiJzAbsAV+VBTlkwfWi9z1vYFUYKyiKMcftk+Z0CVj0GgVDkbklIA3n4khJVNDNTcnOgR7UrdaJer5uFK3WiU8TFg1cy8jmws3kzl/M4nzMckcuRLHhdhk7GwEXep4MbBZDbrV8zbLXxCS5SlVQhdC2AIXge5ANHAUGK4oytl82/QGXiAnobcGZiuK0vph+5UJXTK2tMycOup1J27wz7V47qZk3l9X1dUxX4J3pa5PRn05tgAABU5JREFUJYK8KuJgZ/joF1qtwtW4VM7HJHHuZjLnY5I4fzOZa3Gp97ep6GhHg+qV6Nu4Gn0aVzfpF4lUPj0soRty6X8rIFxRlMu5O/sNGACczbfNAOAXJefb4ZAQwl0IUU1RlJhSxi5JBnN2sKVfk+r0a1IdyOklk1dqPpf7d1HEXTI1WgDsbAR+HhWwM6D6Q6so3EhIJy133BkbAQGeLjSq4cYTLXypW60SdX1c8a3sLOvEJdUYktBrAFH5HkeTUwovapsaQIGELoSYAEwA8Pf3L26sklQsXq6OeLl60bG21/1lWRotV+6kcC5f6drQdqROIV7U86lE3Wqu1K7qirODrEKRzIshCV1fcePBT4Ah26AoygJgAeRUuRhwbEkyKntbG0K8XQnxdmWA2sFIkpEZUoEYDfjle+wL3CjBNpIkSZIJGZLQjwK1hRCBQggHYBiw/oFt1gOjRY42QKKsP5ckSSpbRVa5KIqSLYR4HthCTrfFnxRF+VcI8Wzu+nnARnJ6uIST021xnOlCliRJkvQxaIILRVE2kpO08y+bl+++Akw2bmiSJElSccgp6CRJkqyETOiSJElWQiZ0SZIkKyETuiRJkpVQbbRFIcRt4GoJn+4J3DFiOGqS52KerOVcrOU8QJ5LnpqKonjpW6FaQi8NIURYYYPTWBp5LubJWs7FWs4D5LkYQla5SJIkWQmZ0CVJkqyEpSb0BWoHYETyXMyTtZyLtZwHyHMpkkXWoUuSJEm6LLWELkmSJD1AJnRJkiQrYREJXQjxhBDiXyGEVghRaFcfIUSkEOK0EOKEEMIsJywtxrn0FEJcEEKECyGmlWWMhhJCeAghtgohLuX+rVzIdmb5uhT1P84dDvqb3PWnhBDN1YjTEAacSxchRGLua3BCCPGOGnEWRQjxkxDilhDiTCHrLek1KepcjP+aKIpi9jegHlAH2AWEPmS7SMBT7XhLey7kDFMcAdQCHICTQH21Y9cT5yxgWu79acCnlvK6GPI/JmdI6E3kzMjVBjisdtylOJcuwJ9qx2rAuXQCmgNnCllvEa+Jgedi9NfEIkroiqKcUxTlgtpxGIOB53J/Ym5FUTKBvIm5zc0A4Ofc+z8DA1WMpbgM+R/fn/xcUZRDgLsQolpZB2oAS3m/FElRlD1A3EM2sZTXxJBzMTqLSOjFoAB/CyGO5U5IbakKm3Tb3HgruTNT5f6tWsh25vi6GPI/tpTXwdA42wohTgohNgkhGpRNaEZnKa+JoYz6mhg0wUVZEEJsA3z0rJqhKMo6A3fTXlGUG0KIqsBWIcT53G/JMmWEczFo0u2y8LBzKcZuzOJ1eYDRJj83A4bEeZycMUDuCSF6A2uB2iaPzPgs5TUxhNFfE7NJ6IqidDPCPm7k/r0lhFhDzk/RMk8cRjgXs5l0+2HnIoSIFUJUUxQlJvdn761C9mEWr8sDrGny8yLjVBQlKd/9jUKI74QQnoqiWNpgV5bymhTJFK+J1VS5CCFchBCuefeBHoDe1mULYMjE3OZgPTAm9/4YQOfXhxm/LtY0+XmR5yKE8BFCiNz7rcj57N8t80hLz1JekyKZ5DVRuyXYwNbiQeR8M2cAscCW3OXVgY2592uR07p/EviXnOoN1WMvybnkPu4NXCSn94K5nksVYDtwKfevhyW9Lvr+x8CzwLO59wUwN3f9aR7Sw0rtmwHn8nzu//8kcAhop3bMhZzHciAGyMr9nIy34NekqHMx+msiL/2XJEmyElZT5SJJklTeyYQuSZJkJWRClyRJshIyoUuSJFkJmdAlSZKshEzokiRJVkImdEmSJCvx/3On45+W/GzUAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x, x**2, px, py, \"ro\")\n", "\n", "bbox_props = dict(boxstyle=\"rarrow,pad=0.3\", ec=\"b\", lw=2, fc=\"lightblue\")\n", "plt.text(px-0.2, py, \"Beautiful point\", bbox=bbox_props, ha=\"right\")\n", "\n", "bbox_props = dict(boxstyle=\"round4,pad=1,rounding_size=0.2\", ec=\"black\", fc=\"#EEEEFF\", lw=5)\n", "plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black', ha=\"center\", bbox=bbox_props)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just for fun, if you want an [xkcd](http://xkcd.com)-style plot, just draw within a `with plt.xkcd()` section:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.xkcd():\n", " plt.plot(x, x**2, px, py, \"ro\")\n", "\n", " bbox_props = dict(boxstyle=\"rarrow,pad=0.3\", ec=\"b\", lw=2, fc=\"lightblue\")\n", " plt.text(px-0.2, py, \"Beautiful point\", bbox=bbox_props, ha=\"right\")\n", "\n", " bbox_props = dict(boxstyle=\"round4,pad=1,rounding_size=0.2\", ec=\"black\", fc=\"#EEEEFF\", lw=5)\n", " plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black', ha=\"center\", bbox=bbox_props)\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Legends\n", "The simplest way to add a legend is to set a label on all lines, then just call the `legend` function." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-1.4, 1.4, 50)\n", "plt.plot(x, x**2, \"r--\", label=\"Square function\")\n", "plt.plot(x, x**3, \"g-\", label=\"Cube function\")\n", "plt.legend(loc=\"best\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Non linear scales\n", "Matplotlib supports non linear scales, such as logarithmic or logit scales." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0.1, 15, 500)\n", "y = x**3/np.exp(2*x)\n", "\n", "plt.figure(1)\n", "plt.plot(x, y)\n", "plt.yscale('linear')\n", "plt.title('linear')\n", "plt.grid(True)\n", "\n", "plt.figure(2)\n", "plt.plot(x, y)\n", "plt.yscale('log')\n", "plt.title('log')\n", "plt.grid(True)\n", "\n", "plt.figure(3)\n", "plt.plot(x, y)\n", "plt.yscale('logit')\n", "plt.title('logit')\n", "plt.grid(True)\n", "\n", "plt.figure(4)\n", "plt.plot(x, y - y.mean())\n", "plt.yscale('symlog', linthreshy=0.05)\n", "plt.title('symlog')\n", "plt.grid(True)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Ticks and tickers\n", "The axes have little marks called \"ticks\". To be precise, \"ticks\" are the *locations* of the marks (eg. (-1, 0, 1)), \"tick lines\" are the small lines drawn at those locations, \"tick labels\" are the labels drawn next to the tick lines, and \"tickers\" are objects that are capable of deciding where to place ticks. The default tickers typically do a pretty good job at placing ~5 to 8 ticks at a reasonable distance from one another.\n", "\n", "But sometimes you need more control (eg. there are too many tick labels on the logit graph above). Fortunately, matplotlib gives you full control over ticks. You can even activate minor ticks.\n", "\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-2, 2, 100)\n", "\n", "plt.figure(1, figsize=(15,10))\n", "plt.subplot(131)\n", "plt.plot(x, x**3)\n", "plt.grid(True)\n", "plt.title(\"Default ticks\")\n", "\n", "ax = plt.subplot(132)\n", "plt.plot(x, x**3)\n", "ax.xaxis.set_ticks(np.arange(-2, 2, 1))\n", "plt.grid(True)\n", "plt.title(\"Manual ticks on the x-axis\")\n", "\n", "ax = plt.subplot(133)\n", "plt.plot(x, x**3)\n", "plt.minorticks_on()\n", "ax.tick_params(axis='x', which='minor', bottom=False)\n", "ax.xaxis.set_ticks([-2, 0, 1, 2])\n", "ax.yaxis.set_ticks(np.arange(-5, 5, 1))\n", "ax.yaxis.set_ticklabels([\"min\", -4, -3, -2, -1, 0, 1, 2, 3, \"max\"])\n", "plt.title(\"Manual ticks and tick labels\\n(plus minor ticks) on the y-axis\")\n", "\n", "\n", "plt.grid(True)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Polar projection\n", "Drawing a polar graph is as easy as setting the `projection` attribute to `\"polar\"` when creating the subplot." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "radius = 1\n", "theta = np.linspace(0, 2*np.pi*radius, 1000)\n", "\n", "plt.subplot(111, projection='polar')\n", "plt.plot(theta, np.sin(5*theta), \"g-\")\n", "plt.plot(theta, 0.5*np.cos(20*theta), \"b-\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D projection\n", "\n", "Plotting 3D graphs is quite straightforward. You need to import `Axes3D`, which registers the `\"3d\"` projection. Then create a subplot setting the `projection` to `\"3d\"`. This returns an `Axes3DSubplot` object, which you can use to call `plot_surface`, giving x, y, and z coordinates, plus optional attributes." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "x = np.linspace(-5, 5, 50)\n", "y = np.linspace(-5, 5, 50)\n", "X, Y = np.meshgrid(x, y)\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)\n", "\n", "figure = plt.figure(1, figsize = (12, 4))\n", "subplot3d = plt.subplot(111, projection='3d')\n", "surface = subplot3d.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0.1)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another way to display this same data is *via* a contour plot." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.contourf(X, Y, Z, cmap=matplotlib.cm.coolwarm)\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Scatter plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To draw a scatter plot, simply provide the x and y coordinates of the points." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy.random import rand\n", "x, y = rand(2, 100)\n", "plt.scatter(x, y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may also optionally provide the scale of each point." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x, y, scale = rand(3, 100)\n", "scale = 500 * scale ** 5\n", "plt.scatter(x, y, s=scale)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And as usual there are a number of other attributes you can set, such as the fill and edge colors and the alpha level." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for color in ['red', 'green', 'blue']:\n", " n = 100\n", " x, y = rand(2, n)\n", " scale = 500.0 * rand(n) ** 5\n", " plt.scatter(x, y, s=scale, c=color, alpha=0.3, edgecolors='blue')\n", "\n", "plt.grid(True)\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lines\n", "You can draw lines simply using the `plot` function, as we have done so far. However, it is often convenient to create a utility function that plots a (seemingly) infinite line across the graph, given a slope and an intercept. You can also use the `hlines` and `vlines` functions that plot horizontal and vertical line segments.\n", "For example:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "def plot_line(axis, slope, intercept, **kargs):\n", " xmin, xmax = axis.get_xlim()\n", " plt.plot([xmin, xmax], [xmin*slope+intercept, xmax*slope+intercept], **kargs)\n", "\n", "x = randn(1000)\n", "y = 0.5*x + 5 + randn(1000)*2\n", "plt.axis([-2.5, 2.5, -5, 15])\n", "plt.scatter(x, y, alpha=0.2)\n", "plt.plot(1, 0, \"ro\")\n", "plt.vlines(1, -5, 0, color=\"red\")\n", "plt.hlines(0, -2.5, 1, color=\"red\")\n", "plot_line(axis=plt.gca(), slope=0.5, intercept=5, color=\"magenta\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Histograms" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = [1, 1.1, 1.8, 2, 2.1, 3.2, 3, 3, 3, 3]\n", "plt.subplot(211)\n", "plt.hist(data, bins = 10, rwidth=0.8)\n", "\n", "plt.subplot(212)\n", "plt.hist(data, bins = [1, 1.5, 2, 2.5, 3], rwidth=0.95)\n", "plt.xlabel(\"Value\")\n", "plt.ylabel(\"Frequency\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data1 = np.random.randn(400)\n", "data2 = np.random.randn(500) + 3\n", "data3 = np.random.randn(450) + 6\n", "data4a = np.random.randn(200) + 9\n", "data4b = np.random.randn(100) + 10\n", "\n", "plt.hist(data1, bins=5, color='g', alpha=0.75, label='bar hist') # default histtype='bar'\n", "plt.hist(data2, color='b', alpha=0.65, histtype='stepfilled', label='stepfilled hist')\n", "plt.hist(data3, color='r', histtype='step', label='step hist')\n", "plt.hist((data4a, data4b), color=('r','m'), alpha=0.55, histtype='barstacked', label=('barstacked a', 'barstacked b'))\n", "\n", "plt.xlabel(\"Value\")\n", "plt.ylabel(\"Frequency\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Images\n", "Reading, generating and plotting images in matplotlib is quite straightforward.\n", "\n", "To read an image, just import the `matplotlib.image` module, and call its `imread` function, passing it the file name (or file object). This returns the image data, as a NumPy array. Let's try this with the `my_square_function.png` image we saved earlier." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(288, 432, 4) float32\n" ] } ], "source": [ "import matplotlib.image as mpimg\n", "\n", "img = mpimg.imread('my_square_function.png')\n", "print(img.shape, img.dtype)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have loaded a 288x432 image. Each pixel is represented by a 4-element array: red, green, blue, and alpha levels, stored as 32-bit floats between 0 and 1. Now all we need to do is to call `imshow`:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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zyf/S3n77bUaOHAmUrXqTlJRESkqK5VQX99B1kRw9pfOXKO+VsmQnPx/YyXYMt+eVR9y1SUtL4+2332bZsmUALF++nJCQEOLj4+nRowdDhw49b//yIRRXLF12MX06taFvRGvOlZTSUP+MVF6m4Oj3fL5+Ly//NMF2FLfnU7/9UVFRNGrUiM2bN9O2bVuKiopo0aJsNY1mzZpx6lTVqzZcuXRZXcyaMJCkV5ZSXKLTvirvsf/4aa5/cTG39K52Tjp1Aa8s3AMHDmTr1q2EhYUxY8YMZsyYAcChQ4d4+OGHSUhIIDExkf379zNkyBDi4+MZNWoUI0ZcOO24+2nQQMg9WMRnmToFjPIe09O2U1pq+PUNXW1H8QheOVRS09JlR44cqdJWfnWJJ4kOacn/fZ3DmIQQHTJRXmFmeh4/SQwnvE1T21E8gv7We6Avfj2E1k0bcv2Li21HUeqK5R85xe19w3QyqUughdsDiQi/GdaN/CPf246i1BV7PW07E6+Psh3Do2jh9lDXdQvi6o6tOFOsky8qz7Xn0Cn+lZFPcGAT21E8ihZuDyUifPrQIK79y2Jd3kx5pF0Hi7j+pcXcrTfbXDIt3B5MRPju+GlS0/fYjqLUJfu/b3Jo6Cc8eF2k7SgeRwu3h+vfuQ2vL96hR93K43z2bQF3D4zQZckugxZuDzfrlwPp2r45Q/78DafOFtuOo1SdbD9wgglDu/Bkck/bUTySFm4v8Niwbhw8eZZ/rtptO4pSdfLqohwmDNUhksulhdsL9I1owzVd2zFjic7Xrdzflu+OM3fjPto0C7AdxWNp4fYSH9zXn7iwQE6c1tkDlfvK2nuMEa/+V29tv0JauL3IYzd1470Vu2zHUKpG/7sohxaN/blvSGfbUTyaFm4vEh/eipSlOzmuR93KTX2VvZ8HrokksElD21E8mlcW7nXr1lW7dNnIkSMxxrBq1Sr69+9PSUkJXbp0YefOncTHx5OdnW0hbf0aENmWwdO+4XDRWdtRlDrP2t1HeCKpG4/cqMMkV8orC3ebNm2qbb/77rsREQYMGMDRo0dJT08nKiqKyMhIxo0bx5w5c1yctP79dnh3Tp0r4X8XbbMdRakKxhien5vNL3SIpF54ZeGuSXh4eMXjsLAwCgoKKtrKn3u6rle1YFzfcD5crXdTKvcxd+M+vt1zlKYBXjmTtMv5VC/m5eVVPM7Pzyc0NLSirfy5N5g6NpaQVk1YtfMQAyLb2o6jfNybS3cydd5mPrivn+0oXsOnjrjff//9ijHuwMBA+vbtS05ODrm5uaSmpjJ69GjbEevNfUM68/zcbEpLje0oysf97ZscrusexDVdg2xH8RpeecQ9cOBADh48SFhYGE8//TQADz74IJGRkURFRdG0aVPeeecd/P39ee211xg+fDjjx48nOjracvL607ihH5sKjvNZZgG39A6zHUf5sJNnivXW9np20cItIv8AfgQcMMbEONqmAA8AhY7dnjTGzHNsmwzcB5QAjxhjvnRC7lrVtHTZ66+/XqUtOTmZ5ORkZ0eyIjY0kL9+uZXk2GAaN/SzHUf5oJ2FJ/lp3450u6qF7ShepS5DJe8C1a2i+4oxJsHxVV60ewHjgGjHa6aLiFYMS/7z6yHEhAbS508LbUdRPmj1zkPc8NISXZLMCS5auI0xS4HDdfx5Y4BUY8wZY0wusB3QMxIWTR7ZgzPFpbZjKB9TWmqYOm8zHVrqlK3OcCUnJ38lIhtE5B8i0trRFgrkVdon39GmLIkMas5d/TuSs/+E7SjKh3y+fi8b8o/x2+HdbUfxSpdbuN8AugAJwD7gJUe7VLNvtZc1iMgEEckQkYzCwsLqdlH15I9jYhj2ylKW5Ry0HUX5gOmLt/ObWZl89EB/bu2jJ8ad4bIKtzFmvzGmxBhTCrzJD8Mh+UB4pV3DgL01/IwUY0yiMSYxKEgvE3K20FZNmDpvMyV6eaBysulpO7ipZ3sGdWlnO4rXuqzCLSLBlZ6OBTY5Hn8OjBORRiLSGegKpF9ZRFUffj+yB5v3HeeTdfm2oygv9/25EiaN1Mv/nKkulwPOBK4D2olIPvAH4DoRSaBsGGQX8EsAY0yWiHwMZAPFwERjjC6G6AZGx4cQEtiY22as5PbE8Iu/QKnLcN+7a0h/8kbaNm9kO4pXu2jhNsbcUU3z27XsPxWYeiWhlHMkRrRhZEwHDhw/TXs926/q2YrtB/l6ywEt2i7gU7e8K5g0sgfT5m+xHUN5mXMlpfzxP9mEtmpiO4pP0MLtYzq1bca6PUe4/sXFnD6no1iqfsRO+ZKObZuyfNINtqP4BC3cPuhPY2LIPVjEjCU7bEdRXsAYQwMRpoz2nrl+3J0Wbh80tFsQP44PYXqaFm515b7M+o7HbuqmwyQu5JWFu3v37kRFRfHCCy+c156QkEBCQgIxMTH4+ZVNoRIREUFsbCyJiYk2olrztzuu5pkf9eSzbz1/8Qhlz3P/yeahD9fxwNBI21F8itcV7pKSEubPn092djYzZ848b1tmZiaZmZlMmzaNa6+9tqI9LS2NjIwMV0e17s7+nXh+bjbHTuniwurSbSo4xrsrcrmzX0fbUXyO1xXu9PR0IiMjCQgIYNy4cdXuM3PmTO64o7qrHH2LXwPhcNFZ/vylXmWiLt1TszfSplkAvxvew3YUn+N1hTs//4c7A8PCqs6TMGvWLE6cOMEDDzwAwIoVK2jXrh3x8fEsXbq0yv6JiYkkJiZy8KB3zvOxYcpw0rYcYMSrVf/tStXkwPHTtGjckDVP3URg04a24/gcryvclYt15SJeLjU19byj7ZCQEADGjh1LenrVu/MzMjLIyMigXTvvnHeheSN//vDjaLZ8p7MHqrp77ots/nRzDCLVzSunnM3rCnffvn3Jzc3l7NmzpKamnrft2LFjLFmyhDFjxgBQVFTEiRNlBeurr74iJibG5XndwfDoq7ipZ3sKjn5vO4ryAEu2FfLFhn10btfMdhSf5XVrTvr7+9O5c2cA1q9ff962wMBADh/+YU2IZs1++OCtWLHCNQHdkIjw1vi+REyaS8rP+5AU3cF2JOWmXvxyK6+lbeejB/rbjuLTvO6IW12+Hh1aMOXzLIrOFNuOotzU35fu4JarQ3XKVsu0cKsKU8fGsPfYaV5ZuM12FOWGjDE0DfDnyVE6ZattWrhVhT6d2rBxShILsr7jpB51q0p2FJ6k57MLyHx2GO109j/rtHCr87Ro3JBXfprA819k246i3MS5klIem5VJ44Z+ehWJm9DCraroG9GG1DV5LMzebzuKcgN/+zqHDfnHmDY21nYU5aCFW1Xrq8eGMvGjddz/3hrbUZRFRWeK+WRdARumJDEyNvjiL1AuoYVbVavbVS34/YgeLNp8wHYUZdHzczfz8u3xtGysd0e6Ey3cqkb3DopgcFRbdh0ssh1FWfD15v3MTN9D/8i2tqOoC2jhVjVq0EB48SfxPP5xJsUlpbbjKBc6ePIMv/9kAz2DW9qOoqqhhVvVKjiwCWGtm9LjmQVsyD9qO45ykcTnF/HgtV2Y/+g1tqOoamjhVhf1pzExtGveiMdmZdqOolxg96EiBka25ReDO9uOomqghVtdVGDThrx0ezw7CnWs29uVlBoe/3g9L90eT4MGes22u/LKwl3T0mWBgYEVy5c999xzACxYsIDu3btX2Vedb3BUO7b8aQT9pi7iSNFZ23GUE2wqOEb3p+cTHNiYEF0/0q15XeGubemya665pmL5smeffZaSkhImTpzI/PnzmTlzJtnZerdgbRo39OPIqbM89nEmJaXGdhxVzyZ+tI52zRvx/M2+Ob2xJ/G6wl2Xpcsq7xsVFUVkZCTjxo1jzpw5LkrpuaaMjmbx1kJeXaQTUXmTklLD3qPf8/pdvWnVNMB2HHURXle4a1u6rHxhhXnz5tG1a1fy8/MJDw+v2Hfv3r1Vfp63L112qe7q34mtz4/gvzkHiX52ge04qh4s2LSPLk/OI2dqMn06tbYdR9WB1xXu2pYua968OQDJycmcO3eOsLAw8vLyKvYtX8asMm9fuuxyNPL3Y8bP+tAkwJ/jp3WFeE+Ws/8E//PxehLCW9mOoi6B1xXu2pYuM6ZsXDY9PZ3S0lL69u1LTk4Oubm5pKamMnr0aBuRPVKHwMZMv6s3j8/KpFTHuz3WhA/W0iTAnxk/62M7iroEFy3cIhIuImkisllEskTkUUd7GxFZKCI5ju+tK71msohsF5GtIjLcmf+AC5UvXRYQEFBl6bLyKSn79evHnj178Pf3Z+fOnXTu3Jn169cTHR3tyqger1/nNgQ2CSDyyXk6k6AHenXRNu4dHEHG0zfRIbCx7TjqEtTliLsY+B9jTE9gADBRRHoBk4CvjTFdga8dz3FsGwdEAyOA6SLi54zwyr6pY2OIDQ3kcb05x6MszN7Pq4ty+PmATrajqMtw0cJtjNlnjFnneHwC2AyEAmOA9xy7vQfc7Hg8Bkg1xpwxxuQC24F+9R1cuYfGDf2Y8fM+NPRvwAkd7/YIOwpP8visTOLCAnVhBA91SWPcIhIBXA2sBq4yxuyDsuIOtHfsFgrkVXpZvqNNeanQVk1Y98wwYqd8xWvf5NiOo2pRWmpIemUpKXcn8vmvhtiOoy5TnQu3iDQHPgF+Y4w5Xtuu1bRVOXslIhNEJENEMgoLC+saQ7mxmxNCeGnhNtK26hze7mr64u08mdyTgV10qlZPVqfCLSINKSvaHxpjPnU07xeRYMf2YKD8tzUfCK/08jCgygXSxpgUY0yiMSYxKCjocvMrNzLtljh6dmjJIx99azuKqsZ/1u/lpYXb+MXgCNtR1BWqy1UlArwNbDbGvFxp0+fAeMfj8cCcSu3jRKSRiHQGugLp9RdZuasmAX7Me/Qa5vxqMINf+IZ9x763HUkBGbsO0+OZ+fx96Q7W/yFJx7W9QF2OuAcDPwduEJFMx1cy8AIwTERygGGO5xhjsoCPgWxgATDRGFPilPTKLUUGNef49+f42VurOawTUll377trCAlswrv39tMlyLxEXa4qWWaMEWNMnDEmwfE1zxhzyBhzozGmq+P74UqvmWqM6WKM6W6Mme/cf4JyR2+NTyT/yPfc847+sWVT7sEimjfy54P7+9OueSPbcVQ98bcdQHmn/pFt2fr8SOZkFvDA+xm8cVdv/P287kZdt3Wk6Cy3/30l+46dZtMfXXoPnHIB/U1STjUmIZSF2fv5/Scb9dZ4F7rn3TXsPnyKt8Yn2o6inEALt3K6x4d145N1+fxprs537gqnz5WwqeAY0+/szQBdod0raeFWTvfIjV3Z+f+SOf59Me+t2GU7jtcqLTU88a/19HhmATv+XzI39brKdiTlJF5ZuGtauiwuLo64uDgGDRpUMQFVREQEsbGxJCbqn5TO1KCB8OdbY/nD51l8tHqP7The6Q+fZ/Hvtfk8dlM321GUk3ld4a5t6bIlS5awYcMGnnnmGSZMmFDRnpaWRkZGhquj+hx/vwZc1z2IJ2dv5H8X6a3x9en0uRI+WLWbXw6N5JEbo2zHUU7mdYV79uzZFUuXPfHEE+dta926bObZrKwsYmNjgbKpXpOSkkhJSXF5Vl/07r39yJ2WzNmSEh54P4PT5/QS/yvx3bHTDH9lKbFTvmTXC6OYnNxTb7DxAV53OWD5Ygk1SUtL4+2332bZsmUALF++nJCQEOLj4+nRowdDhw49b//yIRRduqz+iAi/Hd6DzpPnctdbq3l7fKKuc3iZbpm+nOOni3n3Xp2A05d43RF3bUuXbdiwgfvvv585c+bQtm3Z2fby5crGjh1LenrVm0V06TLnef3O3mzMP8ZtM1bajuKRMnYd5myJIXXCAAZH6efTl3hd4a5t6bJbbrmFDz74gG7dyk7eFBUVceLECQC++uorYmJiXJ7XlyXHBvP+ff3Yf/w0W76rbcJJdaGvsr7jrrdWM/vhQcSEBtqOo1zM64ZKypcuA6osXbZ9+/bznjdr1qzi8YoVK5wfTlUxILItG6cM56aXl7Dn0Cle+WkCo+KCbcdyW8YYOk+ex/Xdg/j22WE0DfC6X2FVB153xK08078fHEhcWCC/mrnuoucpfNXZ4lImf7qRn/QJI+XuRC3aPkwLt3ILrUmLE8cAAA45SURBVJoG8M/7+zOs51U8+M+1HNFZBc+zo/AkY6cvJ3VNHn+5LY6GOu+LT9P/spXbaNzQj5S7E9lUcIxbZ6wg92AR254f6dNF6uips0z6ZCMnzpzjH/f05aqWuhq70iNu5YZiQgP54tdDGNc3nNveWMGug0W2I1mxcschRrz6X77esp8PftFfi7aqoIVbuaWmAf5MuyWOXYdOkfx//+VfGXk+NfZ9rqSUO99aRdMAPz59aDANGuhNNeoHOlSi3Nr6PyRRUmr4+9IddH1qPjMnDKBvRBvbsZzm32vz+cOcTfg1EHKnjbIdR7kpPeJWbs+vgfDwdVH8+6FB/PTvK3nms00cOHHadqx6t23/CZ7413qiQwNZ8JuhF3+B8ll6xK08RkJ4K34+oBMfrt7DJ+vyWf3kjbTwgjUU9x79nlcWbuOTdflMHtmD+6+JxE+HRlQttHArj/LHMTH8cUzZHa53vrmKFTsOEda6CUt/e71HjQOfPlfCO8t38cbi7Qzr1YHHhnXlrz+Jtx1LeQgdKlEe68P7+/P+L8pWLh/1t2Us3nrAI05gpqbv4bq/LubPC7bQN6INL90eT1jrprZjKQ+ihVt5LBFhaLcgvvj1EE6eOcc976zhzjdXu23xLi4pZf7GfUz6dCPBrRoza8IA3r6nr+1YygPpUInyeA0aCP/93Q0AnDxTzB1vrmLVzsMA/GlMNKPiQmjTzPXTxu45dIrPMgv47NsC8o98z4092zMmIZRdL+jVIurKeOURd01Llz3yyCNERUURFxfHunXrAFiwYAHdu3evsq/yTM0b+ZM6YSDLJ93A70f04Jk5WfSbuoj731vjskUbjhSd5YNVuxn61zReXriNoBaNWPP0Tbzxsz6MiOngkgzKu3ndEXf50mVhYWH07duXSZMmVWzLyckhJyeH1atX89BDD7FixQomTpzIwoULGTt2LKNHj6ZXr14W06v6EtqqCQ9d14Xrugfx2bcFfJZZQOLzixge3YH+kW0YHR9C44Z+9fZ+x0+fY+t3J/j7kp0s3nqA4lLD70f0YHRCCKGtmtTb+ygFXli4Z8+ezW233QZQZemyp556ChFhwIABNG/enNmzZ3P99dcTGRnJE088wfTp03nttddsxFZO0jO4JT2DWzI5uScAJaWGPYdPMX3xDrbsO86W706w5/ApAFo08ufGnu1pUMvSX+dKDbkHT7KpoGz+cL8GwqjYYHoEt6Bnh5a8eXcfXTpMOZ3XFe5LOTF14b7V/cLp0mXexa+B0LldMx4f9sNK6Gt3H2HLd8fZsu8Ei7cdqPX1DUTo2KYpL/0knh7BLYhq35xG/vV35K5UXXhd4a5t6bK8vLzztoWFhVW05efnVyxjVln56u/lBVx5nz6dWtOnU2vbMZSqM687OTlw4EC6detGly5dKC0tZcaMGcyYMQOAZcuW0aVLF2JjY/nwww8ZOHAgjz76KN26daO0tJTJkydbTq+UUhd30SNuEQkH3gc6AKVAijHmf0VkCvAAUOjY9UljzDzHayYD9wElwCPGmC+dkL1G27Ztq7b99ddfr9KWnJxMcnKysyMppVS9qctQSTHwP8aYdSLSAlgrIgsd214xxrxYeWcR6QWMA6KBEGCRiHQzxrjmWiyllPJyFx0qMcbsM8asczw+AWwGQmt5yRgg1RhzxhiTC2wH+tVHWKWUUpc4xi0iEcDVwGpH069EZIOI/ENEys/uhAJ5lV6WTzWFXkQmiEiGiGQUFhZeuFkppVQN6ly4RaQ58AnwG2PMceANoAuQAOwDXirftZqXV7lGzxiTYoxJNMYkBgUFXXJwpZTyVXW6HFBEGlJWtD80xnwKYIzZX2n7m8AXjqf5QHill4cBe+slrUW7d+8+75rudu3aWU7k+TyhHz0hI3hGTk/IWNnu3bttR6hRXa4qEeBtYLMx5uVK7cHGmH2Op2OBTY7HnwMficjLlJ2c7Aqk12tqCyoP5yQmJlZc360unyf0oydkBM/I6QkZPUVdjrgHAz8HNopIpqPtSeAOEUmgbBhkF/BLAGNMloh8DGRTdkXKRL2iRCml6s9FC7cxZhnVj1vPq+U1U4GpV5DLrU2YMMF2BK/gCf3oCRnBM3J6QkZPIe4w6XxiYqLRP6GUUuoHIrLWGFPtXBted8u7s/zrX/+iQYMG1Y7RRUREEBsbS0JCgoVk54uOjq4xpzvMPX748GGGDRtG165dOXLkSJXtERERJCQkWJsbpqa53I0xVeZyt6WmjIGBgSQkJFj/HP7iF7+gffv2xMTEVNlWeU5828pzXmjx4sUVffncc89ZSFYHxhjrX3369DHuLjs721x77bVmzZo1VbZ16tTJFBYWWkhV1ZYtW6rNWVxcbCIjI82OHTtMXFycycrKspLvt7/9rZk2bZoxxpjf/e53VbZ36tTJxYl+UFxcbHbs2GHOnDlTpY/mzp1rSktLzcqVK02/fv3cJmNlo0aNspTqfEuWLDFr16410dHRVbaNGDGioh9tK895obS0NLfoSyDD1FAz9Yi7jnr27FnjNhEhKSmJPn36uDBR9bp3715te3Vzj9uQkpJSsbhFSkpKle0iQp8+fard5myzZ88mMjKSgICAKn00ffr08+Zyt+XCjJWtXLmS+Ph4Ro4caSldmaFDh9KmTZtqt1WeE9/28GhtOVeuXMnIkSPJyspycaq68bppXevDhX/iTZ06lTFjxtS4//LlywkJCeHAgQMsXbqUoUOHOjsiN910E9999915bbXlNHWYe7y+VZfxYpYvX46/vz/Dhg2jR48eLunLcrX10YXbbKktx+7du2nevDnz5tV43YBbcdcFJ3r37s3u3btZunQpN998Mzk5ObYjVaGFuxqbNm26+E6VlM/j3b59e95//32XFJtFixZd0v51mXu8vlWXsXv37uzbt4/g4OBqxxfLc40dO5b09HSXFu4L53Kv3Ee1zfPuSrXlKP9LIDk52W1vdqk8J74rPoOXo2XLlkBZPz788MPu2Zc1jaG48ssTxrg//fRTExAQYNq3b2+SkpJMQUGBGTlypDHGmLi4OBMXF2d69eplOaUxoaGhFTmNMeflnDt3runatat5/vnnreU7ePCgueGGG0xUVJQ5dOhQRUZjTMX4e69evaxl7Nq1q4mMjKx4/zfeeMMYY0xpaamJjIw0MTEx1Z7ncKXKGd94442KjL169TJxcXGmf//+VvONGzfOdOjQwfj7+5vQ0NDzMj788MMV/Whbec7Q0FDz1ltvVWT829/+Znr16mX69+9vli9fbi0ftYxx6+WASinlhvRyQKWU8iJauJVSysNo4VZKKQ+jhVsppTyMFm6llPIwWriVUsrDaOFWSikPo4VbKaU8jBZupZTyMFq4lVLKw2jhVkopD6OFWymlPIwWbqWU8jBauJVSysNo4VZKKQ/jFvNxi0ghUAQctJ3lAu1wv0yguS6VO+Zyx0yguS6VM3N1MsYEVbfBLQo3gIhk1DRpuC3umAk016Vyx1zumAk016WylUuHSpRSysNo4VZKKQ/jToU7xXaAarhjJtBcl8odc7ljJtBcl8pKLrcZ41ZKKVU37nTErZRSqg6sF24RGSEiW0Vku4hMspxll4hsFJFMEclwtLURkYUikuP43toFOf4hIgdEZFOlthpziMhkR/9tFZHhLs41RUQKHH2WKSLJrswlIuEikiYim0UkS0QedbRb7a9aclnrLxFpLCLpIrLekemPjnbbfVVTLqufrUrv5Sci34rIF47n1n8XMcZY+wL8gB1AJBAArAd6WcyzC2h3QdtfgEmOx5OAP7sgx1CgN7DpYjmAXo5+awR0dvSnnwtzTQGeqGZfl+QCgoHejsctgG2O97baX7XkstZfgADNHY8bAquBAW7QVzXlsvrZqvR+jwMfAV84nlv/XbR9xN0P2G6M2WmMOQukAmMsZ7rQGOA9x+P3gJud/YbGmKXA4TrmGAOkGmPOGGNyge2U9aurctXEJbmMMfuMMescj08Am4FQLPdXLblq4vRcpsxJx9OGji+D/b6qKVdNXPaZF5EwYBTw1gXvb/V30XbhDgXyKj3Pp/YPt7MZ4CsRWSsiExxtVxlj9kHZLyPQ3lK2mnK4Qx/+SkQ2OIZSyv9sdHkuEYkArqbsiM1t+uuCXGCxvxx/9mcCB4CFxhi36KsacoH9z9arwO+A0kpt1vvLduGWatpsXuYy2BjTGxgJTBSRoRaz1JXtPnwD6AIkAPuAlxztLs0lIs2BT4DfGGOO17ZrNW2uzGW1v4wxJcaYBCAM6CciMbXs7rK+qiGX1b4SkR8BB4wxa+v6kmranNJftgt3PhBe6XkYsNdSFowxex3fDwCzKfszZ7+IBAM4vh+wFK+mHFb70Biz3/FLVwq8yQ9/Grosl4g0pKw4fmiM+dTRbL2/qsvlDv3lyHEUWAyMwA36qrpcbtBXg4HRIrKLsmHcG0Tkn7hBf9ku3GuAriLSWUQCgHHA5zaCiEgzEWlR/hhIAjY58ox37DYemGMjXy05PgfGiUgjEekMdAXSXRWq/APsMJayPnNZLhER4G1gszHm5UqbrPZXTbls9peIBIlIK8fjJsBNwBbs91W1uWx/towxk40xYcaYCMpq0zfGmJ/hDr+LzjoTW9cvIJmyM+47gKcs5oik7IzweiCrPAvQFvgayHF8b+OCLDMp+9PwHGX/i99XWw7gKUf/bQVGujjXB8BGYANlH9xgV+YChlD25+gGINPxlWy7v2rJZa2/gDjgW8d7bwKevdhn3EV9VVMuq5+tCzJexw9XlVj/XdQ7J5VSysPYHipRSil1ibRwK6WUh9HCrZRSHkYLt1JKeRgt3Eop5WG0cCullIfRwq2UUh5GC7dSSnmY/w/GLTCh9JrjwQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(img)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tadaaa! You may want to hide the axes when you are displaying an image:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(img)\n", "plt.axis('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's just as easy to generate your own image:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0 1 2 ... 97 98 99]\n", " [ 100 101 102 ... 197 198 199]\n", " [ 200 201 202 ... 297 298 299]\n", " ...\n", " [9700 9701 9702 ... 9797 9798 9799]\n", " [9800 9801 9802 ... 9897 9898 9899]\n", " [9900 9901 9902 ... 9997 9998 9999]]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "img = np.arange(100*100).reshape(100, 100)\n", "print(img)\n", "plt.imshow(img)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we did not provide RGB levels, the `imshow` function automatically maps values to a color gradient. By default, the color gradient goes from blue (for low values) to red (for high values), but you can select another color map. For example:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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a9tgi4jIGHf2hzHysevhMRCxUzy8AZ5tq3yq3AJ+IiBeAbwIfiYhv0M62wuDzP52Zx6v7jzLo/G1s70eB5zPzXGb+BngM+DDtbOtE6ursTwC7I+K6iNjMYMHjaE3bHktEBPA14ERmfmXVU0eBA9XvBxjM5RuVmYczc2dm7mIQy+9n5l20sK0AmfkL4MWIeG/10D7gGdrZ3lPAzRFxRbVP7GOwmNjGtk6mxoWPW4GfAf8J/F3TixVrtO8PGUwt/gN4qvq5FXgXg4WwZ6vbrU239S3t3svFBbrWthX4PWC5iu+/AVe3tb3A3wM/BX4C/AuDf1DYyrZO8uPpslJPeAad1BN2dqkn7OxST9jZpZ6ws0s9YWeXesLOLvXE/wPhlKzkD3rFUAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(img, cmap=\"hot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also generate an RGB image directly:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "img = np.empty((20,30,3))\n", "img[:, :10] = [0, 0, 0.6]\n", "img[:, 10:20] = [1, 1, 1]\n", "img[:, 20:] = [0.6, 0, 0]\n", "plt.imshow(img)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the `img` array is just quite small (20x30), when the `imshow` function displays it, it grows the image to the figure's size. Imagine stretching the original image, leaving blanks between the original pixels. How does imshow fill the blanks? Well, by default, it just colors each blank pixel using the color of the nearest non-blank pixel. This technique can lead to pixelated images. If you prefer, you can use a different interpolation method, such as [bilinear interpolation](https://en.wikipedia.org/wiki/Bilinear_interpolation) to fill the blank pixels. This leads to blurry edges, which many be nicer in some cases:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(img, interpolation=\"bilinear\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Animations\n", "Although matplotlib is mostly used to generate images, it is also capable of displaying animations. First, you need to import `matplotlib.animation`." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "import matplotlib.animation as animation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following example, we start by creating data points, then we create an empty plot, we define the update function that will be called at every iteration of the animation, and finally we add an animation to the plot by creating a `FuncAnimation` instance.\n", "\n", "The `FuncAnimation` constructor takes a figure, an update function and optional arguments. We specify that we want a 50-frame long animation, with 100ms between each frame. At each iteration, `FuncAnimation` calls our update function and passes it the frame number `num` (from 0 to 49 in our case) followed by the extra arguments that we specified with `fargs`.\n", "\n", "Our update function simply sets the line data to be the first `num` data points (so the data gets drawn gradually), and just for fun we also add a small random number to each data point so that the line appears to wiggle." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(-1, 1, 100)\n", "y = np.sin(x**2*25)\n", "data = np.array([x, y])\n", "\n", "fig = plt.figure()\n", "line, = plt.plot([], [], \"r-\") # start with an empty plot\n", "plt.axis([-1.1, 1.1, -1.1, 1.1])\n", "plt.plot([-0.5, 0.5], [0, 0], \"b-\", [0, 0], [-0.5, 0.5], \"b-\", 0, 0, \"ro\")\n", "plt.grid(True)\n", "plt.title(\"Marvelous animation\")\n", "\n", "# this function will be called at every iteration\n", "def update_line(num, data, line):\n", " line.set_data(data[..., :num] + np.random.rand(2, num) / 25) # we only plot the first `num` data points.\n", " return line,\n", "\n", "line_ani = animation.FuncAnimation(fig, update_line, frames=50, fargs=(data, line), interval=100)\n", "plt.close() # call close() to avoid displaying the static plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's display the animation. One option is to convert it to HTML5 code (using a `