{ "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's 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": [ "Now let's plot our first graph! :)" ] }, { "cell_type": "code", "execution_count": 2, "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", "\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!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**:\n", "\n", "> Matplotlib can output graphs using various backend graphics libraries, such as Tk, wxPython, etc. When running Python using the command line, you may want to specify which backend to use right after importing matplotlib and before plotting anything. For example, to use the Tk backend, run `matplotlib.use(\"TKAgg\")`.\n", "> However, in a Jupyter notebook, things are easier: importing `import matplotlib.pyplot` automatically registers Jupyter itself as a backend, so the graphs show up directly within the notebook. It used to require running `%matplotlib inline`, so you'll still see it in some notebooks, but it's not needed anymore." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 3, "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": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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eeqXO9gtRaMepd/AK54bGdKhGJAEW6mx/+FSks/3TJ/r4ys9e58tPzHa2n5kPb1Zne4V2vGYO1bQ2lntbiEgKysvOpH1T5PQlzHa2nxmJz3S2r452tt+bxp3tFdpxCobC5GRmsK222OtSRFLe/M72oYuXI00guvr51esX+OGczvYz94ff3lRJSV7qH/JRaMepIxSmpa5EnbJFPNBQUcCHKhr50K2NV3W2P9jVx/cPn+a70c72uxoiTSD2NqVuZ/u4Q9vMMoHDwBnn3APJK2n1mZya5pXTg3zo1gavSxFJewt1tu/oHuBQVx+HTvTzv355gv/5i9nO9u3RrYXbalKjs/1SRtoPAZ1ASZJqWbWOnRvmysQUrbokSmTVycnK4LaNldy2sZLPAsOjEzx7cvaQz3/7p0hn+4rCHO5oqvR9Z/u4QtvM6oH3AP8V+GxSK1qFZg7VtDZoEVJktSvOy+YdLWt4R8tsZ/tDXX0c6urnYNeFt3S2b28OcM+2at/clxLvSPurwB8BabkKF+wOU1GYQ0NF+q1Ui/jdmpI8fuvmeu7bXsPRs8P86KVe/v75brovXqb7uW4eea6bP7iriS+8e6vXpcZl0dA2sweA8865F8zsbdd5bj+wH6CxsTFR9a0KwVCY3Q1lab8/VMQPnHOcGxqjs3eII9EfnT1DvNF/CecizxTnZbFnQwUttSW01JbErqL1g3hG2vuAB83sfiAPKDGz7znnPjb3IefcAeAAQFtbm0t4pR4ZGp2g68II/3JXndeliMg8E1PTnLgwwpGeoVhId/YOc/HSeOyZhop8WmpLeHB3HS3RBcz68nzfDsIWDW3n3B8DfwwQHWl/fn5gp7KXQ4M4h05Cinhs8PJENJSHYv89fm6E8alpILIgubWmmHduW0NLXSSct9YWp9zebe3TXkQwNADoZj+RlTI97QgNXI6Ec88QR3qH6ewd4kz4SuyZQFEO22pL+ET7+tgUx4ZAIVlpcE/JkkLbOfdL4JdJqWSVCobCNFUVUpqfWv9ai6wGoxNTHDs7PDuC7hni6NlhRsYmAcgw2FhVxC3ryvnY7euiI+hiqovzPK7cOxppX4dzjmAozF2bq70uRcT3zg+P0tk7HB09R0L65IURpqMrYEW5WWyrLea3bl4bm3vevKaY/Bx/bMVbKQrt6zg9cIW+kXF1XhdZgsmpad7ouxTbuRFZJBymb2Qs9szasny21ZZw//YaWupKaKktpb48PyVOLCabQvs6OmKHaso8rUNktRoaneBodM75SM8QnWeHOHZ2mLHJ6OJgZgab1hTxti1VsdFzS22JurffAIX2dQS7w+RmZbClJi3PFInEOOc4PXDlqp0bR3qHCF2cXRysKMyhpbaE37ljXSSc60poqipSE4MEU2hfRzA0wM76Uv2lk7QyOjFF1/mR2NzzTEgPj0YWB81gQ2UhO+vL+PCtjZHdG3UlVBfn+nbvs58otK9hfHKaV3uG+N071nldikjS9I1ETg52zpl77rowwlR0dbAgJ5OtNcU8uKtudu9zTTEFOYoOr+iVv4ajZ4cYn5xmty6JkhQwNe14o+/S1dMbPUOcH55dHKwtzWNbbQnvbFkTm95YV1GgxcFVRqF9DR3R9mLaOSJ+MzI2ybGzswdTjvQOcezsEKMTkcXBrAyjubqI9k2B2MGUbbUllBfmeFy5xEOhfQ3BUJiq4lzqStN3E7+sbs45egdH5927McSp/suxZ0rzs2mpLeGje2YPpjRXF6VkR5d0odC+Bt3sJ6vJ+OQ0x88Pxw6nzIT04JWJ2DPrKwvYVlvC+2+uj01v1Jbm6e9wilFoLyB8eZw3+i7x2231XpciaWjg0vhV14oe6RnixIURJqYii4N52RlsqSnh/h21tNQW01JXwpaaEopy9eWcDvSnvICZTjW62U+SaXra8ebFy2+Z3ugdHI09U12cS0tdCXdvrY7NPW8IFJKpxcG0pdBeQDAUxgx21pd5XYqkiMvjkxw9O+fkYG/kYqTL41MAZGYYzVVF3LahIra1blttCYGiXI8rl9VGob2Aju4wm6uL9e2mLNmCXVN6h3ij7+quKdtqS/hgW0PsYEpzdZFvehSKt5RK8zjneOl0mHe1+Kf9kHhjpmvK3IMpR3qHFu6asis1uqaI9xTa85zqv0z48gSt2p8tcwxembhqauNImnZNEe8ptOeZ6VSjQzXpaXo6cjHSkd7ByMGUaEira4qsFgrteYLdYQpzMtlUrZv9Ut1M15S5Ozc6e9U1RVY3hfY8HaEwO+pLtaUqxcztmjIT0ot1TdlSU6zFQVl1FNpzjE5M0dk7xO+1b/S6FFmmJXVNmTmcoq4p4iMK7Tle6xliYsrpUI1PxNs15e4tVbFj3dtq1DVF/E2hPcfMSUjtHFldlto1ZWb3hrqmSCpaNLTNLA94CsiNPv+oc+4/JrswLwRDYepK81hTooUmr8TVNSWgrimSvuIZaY8Bb3fOjZhZNnDQzH7inHsmybWtuGBoQFv9VlD/yNhVF/Jfq2vKe3fXxRrCblHXFElzi/7td845YCT6Znb0h0tmUV7oGxkjdPEKH79d7cUSLd6uKS3Rrikz0xvqmiLyVnENWcwsE3gBaAa+4Zx7NqlVeSA406lG7cUS7levn+eT3zkMRLqmbFpTrK4pIssUV2g756aA3WZWBjxmZtudc6/OfcbM9gP7ARobGxNdZ9IFQ2EyM4wda0u9LiXltDaU86Xf3kVLbeRipJwsLQ6KLNeSvnqcc2Hgl8B9C/zaAedcm3OuraqqKjHVraBgKMzWmmLyc3SYItHKC3P4wC31tNSVKLBFbtCiX0FmVhUdYWNm+cA7gKNJrmtFTU87Xoq2FxMRWc3imR6pBb4bndfOAL7vnPtRcstaWScujDA8NqnQFpFVL57dIy8DrStQi2c6dKhGRHxCE4xE5rOL87LYGCjyuhQRketSaBPZ7re7oUx7gkVk1Uv70L4yPsWxc8OazxYRX0j70H7lzCBT07rZT0T8Ie1Du6M72l5MoS0iPpD2oR0MhWmoyKeyKNfrUkREFqXQDoVp1X0jIuITaR3a54ZG6R0c1dSIiPhGWod2x8zNfjpUIyI+kd6hHRogO9NoqS3xuhQRkbikdWgHu8O01JaQl62b/UTEH9I2tKemHa+cGaS1UYuQIuIfaRvar58b5vL4lBYhRcRX0ja0g9Gb/RTaIuIn6Rva3WHKC7JZV1ngdSkiInFL29DuCA2wq6EMM93sJyL+kZahPTw6wfHzI5oaERHfScvQfuX0IM6hnSMi4jtpGdoz7cV215d5WoeIyFKlZWgHQ2E2BgopLcj2uhQRkSVJu9B2ztERbS8mIuI3aRfaZ8JX6BsZ0yVRIuJLaRfaM4dqdIe2iPjRoqFtZg1m9qSZdZrZa2b20EoUlizB7jC5WRlsrS32uhQRkSXLiuOZSeBzzrkXzawYeMHMnnDOHUlybUkRDIXZvraU7My0+yZDRFLAosnlnOt1zr0Y/fkw0AmsTXZhyTAxNc0rZwa1CCkivrWk4aaZrQdagWcX+LX9ZnbYzA5fuHAhQeUl1tHeYcYmpxXaIuJbcYe2mRUBPwA+45wbmv/rzrkDzrk251xbVVVVImtMmGBoANDNfiLiX3GFtpllEwnsh51zP0xuScnTEQoTKMqlvjzf61JERJYlnt0jBnwL6HTOfTn5JSVPMBQ5VKOb/UTEr+IZae8DPg683cyC0R/3J7muhBu8PMHJC5do1aEaEfGxRbf8OecOAr4fmgZPhwHNZ4uIv6XNZuVgdxgz2Flf6nUpIiLLlj6hHRpgU3URxXm62U9E/CstQts5F1uEFBHxs7QI7e6Llxm4PMFuXRIlIj6XFqE9c7OfRtoi4ndpEdod3WHyszPZvKbI61JERG5IeoR2KMyO+lKydLOfiPhcyqfY2OQUnT1DOlQjIikh5UP7SM8Q41PTtGo+W0RSQMqH9uwipHaOiIj/pXxod3SHqSnJo6Y0z+tSRERuWMqHtg7ViEgqSenQ7h8Zo/viZS1CikjKSOnQfkk3+4lIiknp0A52h8nMMHboZj8RSREpHdodoTCb1xRTkLPoteEiIr6QsqE9Pa2b/UQk9aRsaJ/su8Tw6KQWIUUkpaRsaM8cqtFJSBFJJSkc2gMU52bRVKWb/UQkdaRwaIfZ2VBKRobvexKLiMSkZGhfGZ+is3dYi5AiknIWDW0z+xszO29mr65EQYnwas8gU9NOl0SJSMqJZ6T9HeC+JNeRUMHuMKCTkCKSehYNbefcU8DFFaglYYKhMPXl+VQV53pdiohIQiXsqKCZ7Qf2AzQ2Nibqwy7Le3bW0r4p4GkNIiLJkLDQds4dAA4AtLW1uUR93OW4f0etl59eRCRpUnL3iIhIqlJoi4j4SDxb/h4BfgNsMbPTZvZ7yS9LREQWsuictnPuIytRiIiILE7TIyIiPqLQFhHxEYW2iIiPKLRFRHxEoS0i4iMKbRERH1Foi4j4iEJbRMRHFNoiIj6i0BYR8RGFtoiIjyi0RUR8RKEtIuIjCm0RER9RaIuI+IhCW0TERxTaIiI+otAWEfERhbaIiI8otEVEfEShLSLiIwptEREfiSu0zew+MztmZl1m9oVkFyUiIgtbNLTNLBP4BvBuoAX4iJm1JLswERF5q3hG2nuALufcSefcOPB3wHuTW5aIiCwkK45n1gKhOW+fBm6b/5CZ7Qf2R98cM7NXb7y8lBAA+rwuYhXQ6zBLr8UsvRaztsTzUDyhbQu8z73lHc4dAA4AmNlh51xbPAWkOr0WEXodZum1mKXXYpaZHY7nuXimR04DDXPergd6llOUiIjcmHhC+3lgk5ltMLMc4MPAPya3LBERWcii0yPOuUkz+xTwz0Am8DfOudcW+W0HElFcitBrEaHXYZZei1l6LWbF9VqYc2+ZnhYRkVVKJyJFRHxEoS0i4iNJDW0z+7yZOTMLJPPzrGZm9j/M7KiZvWxmj5lZmdc1rTRdgxBhZg1m9qSZdZrZa2b2kNc1ec3MMs2sw8x+5HUtXjKzMjN7NJoVnWZ2x7WeTVpom1kD8E6gO1mfwyeeALY753YCrwN/7HE9K0rXIFxlEvicc24bcDvwh2n8Wsx4COj0uohV4GvA4865rcAurvOaJHOk/RXgj1jgIE46cc791Dk3GX3zGSL73NOJrkGIcs71OudejP58mMgX5lpvq/KOmdUD7wG+6XUtXjKzEuBO4FsAzrlx51z4Ws8nJbTN7EHgjHPupWR8fB/7JPATr4tYYQtdg5C2QTXDzNYDrcCzHpfipa8SGdhNe1yH1zYCF4BvR6eKvmlmhdd6OJ5j7Asys58BNQv80p8CfwLcu9yP7TfXey2cc/8QfeZPiXx7/PBK1rYKxHUNQjoxsyLgB8BnnHNDXtfjBTN7ADjvnHvBzN7mcTleywJuBj7tnHvWzL4GfAH4s2s9vCzOuXcs9H4z2wFsAF4yM4hMB7xoZnucc2eX+/lWs2u9FjPM7HeBB4B7XPptjNc1CHOYWTaRwH7YOfdDr+vx0D7gQTO7H8gDSszse865j3lclxdOA6edczPfdT1KJLQXlPTDNWZ2CmhzzqXlTV5mdh/wZeAu59wFr+tZaWaWRWQB9h7gDJFrET4ax6nalGORUcx3gYvOuc94XM6qER1pf94594DHpXjGzH4N/L5z7piZ/Seg0Dn3HxZ6dtkjbYnb14Fc4Inodx7POOf+wNuSVs4yr0FIVfuAjwOvmFkw+r4/cc79k3clySrxaeDh6P1OJ4FPXOtBHWMXEfERnYgUEfERhbaIiI8otEVEfEShLSLiIwptEREfUWiLiPiIQltExEf+P4lOxRlI0zFyAAAAAElFTkSuQmCC\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": 5, "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", "\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": 6, "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": 7, "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],\n", " [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 the 3rd argument to change the line's style and color.\n", "For example `\"g--\"` means \"green dashed line\"." ] }, { "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],\n", " [0, 0, 100, 100, 0, 100, 130, 100, 0],\n", " \"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": 9, "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-\",\n", " [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": 10, "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](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.plot.html#matplotlib.pyplot.plot) for the full list of style & color options." ] }, { "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": [ "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 properties on these lines, such as the line width, the dash style or the alpha level. See the full list of properties in [the documentation](https://matplotlib.org/stable/tutorials/introductory/pyplot.html#controlling-line-properties)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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h6QLV2qtCwR7qhg1zc713daPq2LvXvVYXSakFR88fZemepbRq2IoJvScAMGf9nDKhPrzzcBfmydPo1LRT+SfLyXEhHhPjauinT8Ply9Co0VWHZWe7jyeumTq9rg86qgr1Yw8nX37pau3TpsGvfx3s0kiEOpxzmPk75uNN9/LpgU+xuIxYOH0hE3tP5Lcbf8t//PU/6Nysc0nNvGPTShZ437vXrTz285/Dww/X/E1EKPVjj0QNGsDLL0OfPm77zBlYuxbuuks9aMQvWeeyeHfHu3jTvaz5Yk1JmJfnsYGPld9mfq1Ll2DXLrjxRlch+frX4YYbrloUQ23mNUPBHk6io+H++0u3X33Vtb/v3Am9ewevXBKWDp07xLvpRWF+cE25x0SZKEYkjuDxQY8zsXcVF25/4AE3snr/fqhfH155BYCsTNcRJi5OTSs1RcEezv7t32DAgNJQf/VVSEmBW28Nbrkk5P3wkx/ywscvlLsvykRxR5c7SE1KZWrSVNrFtfPtpHl58Kc/uabCpk3hmWdcj6769a86pLiHi3q61BwFezirV881w4DrOvaTn7jZJBXscoUD2QdYsW8Fic0TGdVtFACvrH3lqmOiTBQju4zEk+xhStIU2jZuW/ULbdvmuurm5rqFpIsn6rpCcY8X9U+vWQr2SFGvHmzf7hbXBti927Vpzp0L/fsHtWhS+zKzM0lLT8Ob7mVd1jrADRL626N/Y1inYTx989P8ZsNv6N26twvzPlNo07hN1S/005+6avjzz7u/Hteuve60GOqfXnsU7JGkUaPSrmPHjrmHV+3bu+2DB92fx5poLGLtP7Mfb7oXb7qXDYfL9jqz2JIRoM/e9izP3vZs9S507Bi0K2qe2bbN1dCtdQ/whw697pepf3rtUbBHqltvhc2bS3vLPPWUG+S0b597CCsRYd+ZfXi3uzD//Mjn5R4TExXDqG6jmDVkFjd1usm/C77+Osyc6RaOSUhw0wDExPjU00X902uPgj2SXdkF8nvfc/8Zi0P9+9+HSZNg4MDglE38NmvJLOasn1PuvpioGEZ3G40n2cOkPpNo2bBl9S6SlwdpadCvH/TtC6NHu55YcXFFF3IRkpVVeU8XtQjWHg1QqosOH4bkZDese/ZsN/HYxYtuRScJSbtP7eaTA5+Q1DqJ4QnDySvIo95/XL36VmxULKO7F4V570m0aOjH/ELF87hkZ0Pnzu5h6M9/Xu6heXmwejU0buwe8dxxh9rMa4oGKMn1xce7Nvfi2vuSJfC1r8Fnn6laFUJ2ndxV8gB087HNgAvv7d/aTo+WPfi3Yf/GO+nv0L99fzzJHib2nkjzBs39v/Cjj8KBA259gObNYd26CsdJqKdL6FGw11VX1s67d3f/mfv2ddtvvQVffAHf/rba42vZzpM7S9rMtx7fWma/xRJlojDG8PJdL/PyXS/7f9H0dPee/+AHbg6ioUPdfETFD0STkq77perpEpoU7OIGNb1yRb/mjz+GTZvcABNwPR9699b/1Bqy48SOkt4s245vK/eY+tH1GdNjDE8Ne4ruLbv7f9FTp1wPqoYNYeNGN1XF/fe76Soef7zksMoeiqqnS2hSsEtZc+eW9ofPzXWNphMnwu9+5z5XUKCafADkF+bzwIIHmLdtXrn7G8Q0YGyPsaQmpzK+13ia1m8amAvv3euesbz6qpuQKzXVLXTRvHmZQyt7KKqeLqFJwS7lK+4PHx0Nb75Z2h/+2DHXZPPaazB5ctCKF26stWw7vo1/HPoHg+IHMbDDQI6eP1om1BvENODunnfjSfYwruc4mtQPwAPtwkKYMMENHHrxRTch13e/CzffXHTRBu7fNXwZ/q9HMqFJwS4Vi46+euHtixfddq9ebnvtWtdb4uc/VxXtGtZath7fWtJmvuvULgCa1GvCvtn7iG8Sz0M3PsTK/Su5qeNNLsx7jSOuXpz/F//d79xzkhdfdO3m7duXNoQb49rTK6GHouFLwS5V06ULvPFG6fahQ27gU3ForFjh/tR/7LE62VxjrWXzsc14t3tJ25FGxqmMMsfkF+YTbaKJMlG8MfmNwFx4xw7X5/Bb33Lb69fD1q1uvIIxbmBREV8GE+mhaHhTsIt/pk2DqVNLB0PNmwfLlsGMGW77z392Ncb77gteGWuYtZZNRzeVPADdc3pPucc1jm3M+F7j+fYt3/avjzm47oherwvyRo1g6VJ4+mk36KxjR/jVr66bwL4MJtJD0fCmAUoSWNa6J2lti2YHLB6tsny52/7lL10Pm7Fjg1XCgLqQd4Epb09h2d5l5e5vHNuYCb0n4En2MKbHGBrFNir3uEqdPOm6JE6c6P5qWrLENYl9+qmbPuLMGfIu5pNxpk2lNXFfBhNt2gRHj5b9fPv2alcPJg1QkuAwpjTUwaXImTPudWGh61Y3aVJpsD/xhNu+887aL2sVWWvZcHgDm45u4rbE2+jTug/pJ9LLhHpcvTgm9CoN84axDat+sfPn3fdq5EgYMcLNaz57tht/8I1vwFe+4qrV8fHu+BYtyDrre028snZzhXd4C0iwG2PGAK8A0cBvrbU/CcR5JQIYAy2L5imJioLMTLd2K7i+cvPnuxr8nXe68Bo40E0FO22am+rg5MnSHjlBYK1l/eH1JW3mmdmZALRt3JaDTx2kX9t+TOo9iY1HNjIicQSpyanc1f0u38K8sNCla7Nmrp1j3Dg3v/5TT7nFKX76U/JiGpLRagS9enYl9sABN/EWuGQuDnV868GidvO6w+9gN8ZEA3OA0cAhYL0xZpG1Nt3fc0sEio520weD6zd95IgLNXDBPmAAtG7ttrdscYs1zJ8PU6a4duW33nJLrnXq5L4uKuqqyc58XU+zouOstazNWktaehpp6WkcOJ0Fp3pCq0Ou6gLkFeQRExVDlInivenvXXXOmKtPVlq+d991Ye7xuGN7TaDXza2JfetN932Ji3Pzs4Ar1OnTZB1tQPp6iIszJCYmXPd+fKmJq9287ghEjX0osMdauw/AGDMPmAQo2KVCpeEaTWw0Lqy93tIDOnSAX/6SvAFDydgOvXZtIfZ734MxY9yx77/vFhNZt86Nnt2yhax5/yC99/3ExTUiscEx1+8+Obk0zYpc+wCx0Bay9tBavOle0tLTOHjuYOnB5xLgRDLUO0+zdueY3Gcyz976LFFHj7lmpuRkd86/fEL62kLivjPSBeX06XD8OKxa5c4zZw5cvgwej7v+6NnEDbGUZGpa2tXfn+gGPi0j52tNXIOJ6o5ABHtH4Ir/BRwC/Jz0WeqCSntndOgAs2eXLn48dAKJOTmlg2m6dHHD3zt1AiBv9Wdk/HgB8YtSychoRPzWd4h9+l/c8PmWLd2D2x/+kLw9B8jIiCN+0xIyfrCC+p9+j8lp47lh4Vru3Q6/eMidfuY6uHtnDNNHDmTEgAHc+2k/7vtgHvV2v+EOeOQR173ziy9cuL75d+K3rSNj8kgXqiNHuupzMa8XmjYtbTZ56E4yLkB8XsXD9StrD/e1Jq5287ojEMFuyvlcma42xpgZwAyAhITr/0kp4a2qTSG+1kZLjrsjjtjin9r+/a9Kq6xJ36Kw44M0aN+InFNweMhEEtPiS1eN6tsXe++9vLd9O2syzjC+8BQFJpolGzexNmstfQ0UFv00t2jQgmGd+9DhREvmTXmHDu1jOZHzCUc6x5bWsGfOBI/HXTsLCmfOokGHmNIQvmLOFQBatXLHZlYe2FVpD1dNXK4ViGA/BHS+YrsTcPjag6y1c4G54Lo7BuC6EoJ86SNdfFxVaqOVHVcShJ3jIKooCM8lEj8xkeioQtYc+BRv3iLSui7myKu7ocE5FrbszLzX0sg9dYHbO41iRbPd8NgoliZ7+ErXr0BhLKtXQ5ui3wstJt1OxrnbS2vYRWt7XnXtGGgR4/8DzKq0h6smLtcKRLCvB3oaY7oCWcB04GsBOK+EkKqMVgxUm3BVaq3XBqGJKuCfh7fxxz+lseL06xw5f8TtOJMANgqi8gFLTAzUi2rEm6OWlwnMzIO+hWtVQtjXY1ULF3/4HezW2nxjzCzgI1yfgd9Za7f7XTIJKVUZrRioNuGqBGZ2NhQUFrBi2zY+y/yUzw6tIfviaYg7Ch2OlB54qTlN6jdjeIe7ua/ffSXBWV5g+hquVQlhX49VLVz8EZB+7NbaJcCSQJxLQk+g+0jXRGC26nqQr/9tDOknijpjdbp6f9vGbZnaZyqeFA8jEkcQE1X5j76v4VqVEFZgS23QyFOpVKD7SPsbmPmF+aza/1cyszMZ13Mc7eLasWzvstJQL9KucTumJk3Fk+zCPDqq7k1KJnWTgr0OC+QsfzXdJpxfmM/q/atJS09j/s75nLxwEoCRXUay6qFVjO81niHxQzh54WTJfOa3JtyqMJc6ScFehwVylr+aaGLIK8hjdeZqvNu9LNi5gFMXT5U5xhb1rG0X1451/2dd4AshEoYU7HWUrz1Yart3Rl5BHiv3r8S73ct7u97j9MXT5R4X3ySeaUnTeOH2FwJfCJEwp2Cvo0Jxlr8dJ3Yw5s9j+OLsF+Xu79ikI6nJqXiSPdzc+WaiTFTtFU4kjCjY66BQmOUvtyCXFftWcPzL40zpM4VmDZoxf8f8MqHeqWknUpNS8aR4GNZpmMJcxAcK9ghU2UPRYM3ydzn/Msv3Lceb7mXhzoWcvXwWgGV7l/HWtLeY3nc687bP41L+JSb2mognxcPQjkMV5iJVpGCPQJU9FK3NdvNL+ZdYtncZ3nQvi3Yt4tzlc2WOKbSFAHRv2Z2tM7cGtgAidZCCPcL48lC0ptvNL+VfYumepaSlp7Fo1yJycnPKPa5L8y7cm3Ivz494vmYLJFLHKNgjjK8PRWvKuqx1jHtrXEk/82t1a9ENT7KH1ORUBnUYhDHlTQ4qIv5QsEeQ2n4oeiHvAsv2LiPncg6eFA8NYhrwx81/LBPq3Vt0x5PswZPiYUD7AQpzkRqmYI8gtfFQ9ELeBZbsXoI33cvijMV8mefWL914ZCO/GPMLHu7/MEv3LiU2KpYpfabgSfFwY7sbFeYitUjBHiZ8Gf5fUw9Fv8z9sjTMdy/mQt6FMscUjwAdFD+I3U/urv7FRMRvCvYw4cvw/0A+FD2fe57FGYvxpntZsnsJF/Mvlntc71a9+Vq/r/HMrc8E7uIi4hcFexjwdfh/oCzbu4zUd1Kv25slqXVSSZt5SpsUNbOIhBgFexioyZ4uOZdzWLpnKfmF+dyTcg/RUdG8tvG1MqGe0ialJMyT2yQH5uIiUiMU7CGuJnq6nLt8jkW7FpGWnsbSPUu5XHAZgIPnDvKd4d/hm4O+yYbDG2havynTkqbhSfaQ1CYpQHckIjVNwR7iAtXTJftSNu/veh9vupeP9n5EbkFumWMKCgsA+Gq3r7J/9v5AFF9EgkDBHuL86emSfSmbhTsX4k33smzvMvIK88o97sZ2N/LgjQ8y+6bZ/hdYRIJOwR7iqtvT5e1tb/PQew+VNLNca0D7ASUjQHu26ln9AopIyFGwB5kv/dMrc/riaZbuWUrDmIZM7jMZYwxz1s8pE+oDOwwsCfMeLXsEoPQiEooU7EHmS//08py6cIr3dr6HN93Lyv0ryS/MB+DNyW/y4I0P8sSQJzhw9gBtG7ctCfNuLbrV0F2ISChRsAdRVfunn7xwkgU7FuBN97Jq/yoKbEGZY4ofgN7b917u7XtvTRVdREKYgj2IfOmffuLLEyzY6cJ89f7V5YY5wE0db+LRAY/ycP+Ha77gIhLSFOxB4kv/9Dnr5jB76ezrhvnNnW7Gk+xhWvI0Epol1FLJRSTUKdiD5Nr+6WdzT7E8458crhfNQ7ePBOCVta+UCfVbOt/iwjxpGp2bda7tYotIGFCwB0l2tuvNsuizz/j0wKdsO74VsLD1KO07/oy7etzFv9z0L/x0zU9JbJZYUjPv1LRTsIsuIiHOr2A3xniAF4EkYKi1dkMgChXJDucc5t30d0nbkcanBz510902w/0rUrwG6Kyhs5g1dFZwCioiYcvfGvs2YCrwagDKErGyzmXx7o538aZ7WfPFmpK5y69kMNyWeBszB89kbM+xQSiliEQKv4LdWrsD0LStFXjx4xd56ZOXyt0XZaIYkTiC1KRUpiZNpUOTDrVcOhGJRGpjD6CDZw+yav8qOjXuSvvcEfTqBf/19/+66pgoE8UdXe4oCfN2ce2CVFoRiVSVBrsxZgXQvpxdz1lrF/p6IWPMDGAGQEJC5HTNO5B9gLT0NLzpXtZmrXWfzO7CT5JWMD2uO08Ne4rf/vO3JYtTTEmaQtvGbYNbaBGJaJUGu7V2VCAuZK2dC8wFGDx4cNlG5jCSmZ1ZEubrstZdvbMgBk72oHXbPDIy4Pk7XuKlkeU3xYiI1AQ1xfho/5n9eNO9eNO9bDhcfuefaBPNLS2mMyphFv079+HEicCudiQi4gt/uztOAf4baAMsNsZsstbeFZCShZAnFj/Brzf8utx9MVExjOo2Ck+yh7u7TWLL2lY0K+q6GIjVjkREqsrfXjELgAUBKktI2HN6D58e+JSUtikM7TiUC3kXyoR6bFQso7uPJjUplUl9JtGyYUsAMjMDs9qRiIg/1BQD7D61u6SZZdPRTQDUj67Pzlk7SWyWyLcGf4v5O+czqMMgPMkeJvaeSIuGLcqcx5/VjkREAqXOBvuuk7tKHoBuPra5zP4CW4DBuEUrxs1hzrg5lZ6zuqsdiYgEUp0K9p0nd+Ld7mrmW49vLfeYetH1GNNjDE/f/DSJzVXNFpHwUyeCPa8gj/sX3M87298pd3/96PqM6TEGT7KHCb0n0LR+01ouoYhI4ERksG8/vp21WWsZEj+Efu36cfDcwTKh3iCmAWN7jMWT7GFcr3EKcxGJGBER7NZath3fhjfdS1p6GjtO7gCgeYPm7J+9n4RmCUzvO51PMj/h5s5ucYpxPcfRpH6TKl0nEAtPi4jUtLANdmstW45tKXkAuuvUrjLH5BbkEm2iiYmK4S/T/uL3Nau78LSISG0Kq2C31rL52OaSB6C7T+8u97hGsY0Y32s83x3+3SrXyq+nqgtPi4gES9gE+/nc80x9eyrL9y0vd3/j2MaM7zUeT7KHsT3H0ii2UUCv78vC0yIioSBsgn3rsa1lQj2uXhwTek0gNTmVsT3G0jC2YY1c25eFp0VEQkXYBHv/9v0Z02MMW45t4Y4ud+BJ9nBX97tqLMyvdO3C05oqQERCWdgEe8PYhnz49Q+Dcm1NFSAi4SRsgj2YNFWAiISTqGAXQEREAkvBLiISYRTsIiIRRsEuIhJhFOwiIhFGwS4iEmHqfLDn5cH27e6jiEgkqPPBXjxj4+HDwS6JiEhg1Olgv3bGRtXaRSQS1Olgv3LGxuK5X0REwl2dDfbrzdioWruIhLs6G+wVzdgoIhLO6uwkYJqxUUQiVZ0Nds3YKCKRyq+mGGPMfxpjdhpjthhjFhhjmgeoXCIiUk3+trEvB/paa28AMoBn/S+SiIj4w69gt9Yus9bmF23+A+jkf5FERMQfgewV8wgQnLXrRESkRKUPT40xK4D25ex6zlq7sOiY54B84M8VnGcGMAMgISGhWoUVEZHKVRrs1tpRFe03xjwEjAe+aq21FZxnLjAXYPDgwdc9TkRE/ONXd0djzBjgu8Dt1toLgSmSiIj4w9829v8BmgDLjTGbjDH/G4AyiYiIH/yqsVtrewSqICIiEhgRO1eMFtAQkboqYoNdC2iISF0VkcGuBTREpC6LyGDXAhoiUpdFXLBrAQ0RqesiLti1gIaI1HURNx+7FtAQkbou4oJdC2iISF0XcU0xIiJ1nYJdRCTCKNhFRCKMgl1EJMIo2EVEIoyCXUQkwijYRUQijIJdRCTCKNhFRCKMgl1EJMIo2EVEIkxYBbuWuxMRqVxYBbuWuxMRqVzYBLuWuxMR8U3YBLuWuxMR8U1YBLuWuxMR8V1YBLuWuxMR8V1YrKCk5e5ERHwXFsGu5e5ERHznV1OMMeaHxpgtxphNxphlxpj4QBVMRESqx9829v+01t5gre0PfAC84H+RRETEH34Fu7X23BWbjQHrX3FERMRffrexG2N+BDwInAVG+l0iERHxS6U1dmPMCmPMtnL+TQKw1j5nre0M/BmYVcF5ZhhjNhhjNpy4tnuLiIgEjLE2MK0nxphEYLG1tq8Px54ADlzxqdbAyYAUJPRE6r3pvsJPpN5bXbqvRGttm8q+0K+mGGNMT2vt7qLNicBOX77u2oIZYzZYawf7U5ZQFan3pvsKP5F6b7qvsvxtY/+JMaY3UIirgX/Tz/OJiIif/Ap2a+20QBVEREQCI1Tmipkb7ALUoEi9N91X+InUe9N9XSNgD09FRCQ0hEqNXUREAiQowW6M8RhjthtjCo0x133qa4zJNMZsLZqLZkNtlrG6qnBvY4wxu4wxe4wxz9RmGavDGNPSGLPcGLO76GOL6xwXFu9ZZd9/4/yqaP8WY8zAYJSzqny4rzuMMWeL3p9NxpiwmAbEGPM7Y8xxY8y26+wPy/cLfLq3qr9n1tpa/wckAb2Bj4HBFRyXCbQORhlr8t6AaGAv0A2oB2wGkoNd9kru62fAM0WvnwF+Gq7vmS/ff+Bu4EPAAMOAtcEud4Du6w7gg2CXtRr3NgIYCGy7zv6we7+qcG9Vfs+CUmO31u6w1u4KxrVrmo/3NhTYY63dZ63NBeYBk2q+dH6ZBLxZ9PpNYHLwiuI3X77/k4A/WOcfQHNjTIfaLmgVhePPlU+stX8FTldwSDi+X4BP91Zlod7GboFlxpjPjTEzgl2YAOoIHLxi+1DR50JZO2vtEYCij22vc1w4vGe+fP/D8T3ytcw3G2M2G2M+NMak1E7Ralw4vl9VUaX3rMYW2jDGrADal7PrOWvtQh9PM9xae9gY0xZYbozZWfTbLagCcG+mnM8FvXtSRfdVhdOE5Ht2DV++/yH5HlXClzJvxA1LP2+MuRt4D+hZ0wWrBeH4fvmqyu9ZjQW7tXZUAM5xuOjjcWPMAtyfmkEPiQDc2yGg8xXbnYCgr+Ba0X0ZY44ZYzpYa48U/Yl7/DrnCMn37Bq+fP9D8j2qRKVltldMtW2tXWKM+bUxprW1NtznWgnH98sn1XnPQrYpxhjT2BjTpPg1cCdQ7lPjMLQe6GmM6WqMqQdMBxYFuUyVWQQ8VPT6IaDMXyZh9J758v1fBDxY1NtiGHC2uCkqhFV6X8aY9sYYU/R6KC4DTtV6SQMvHN8vn1TrPQvSU+ApuN+wl4FjwEdFn48HlhS97oZ7qr8Z2I5r5gj6E+xA3FvR9t1ABq4XQ8jfG9AKWAnsLvrYMpzfs/K+/7i5jr5Z9NoAc4r2b6WC3luh9M+H+5pV9N5sBv4B3BLsMvt4X38BjgB5Rf+/Ho2E98vHe6vye6aRpyIiESZkm2JERKR6FOwiIhFGwS4iEmEU7CIiEUbBLiISYRTsIiIRRsEuIhJhFOwiIhHm/wPPb/Af3nHdCgAAAABJRU5ErkJggg==\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`](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.savefig.html) 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": 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", "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": 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.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 = bottom 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": 15, "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 positioning, 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": 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.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 [corresponding matplotlib tutorial](https://matplotlib.org/stable/tutorials/intermediate/arranging_axes.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": 17, "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": 18, "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": 19, "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(-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 within a single namespace. You will find many examples using pylab, but it is now [strongly discouraged](https://matplotlib.org/stable/api/index.html#module-pylab) (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 arguments. Any text in matplotlib may contain TeX equation expressions, see [the documentation](https://matplotlib.org/stable/tutorials/text/mathtext.html) for more details." ] }, { "cell_type": "code", "execution_count": 20, "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',\n", " horizontalalignment=\"center\")\n", "plt.text(px - 0.08, py, \"Beautiful point\", ha=\"right\", weight=\"heavy\")\n", "plt.text(px + 0.05, py - 0.4, \"x = %0.2f\\ny = %0.2f\"%(px, py), rotation=-30,\n", " 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](https://matplotlib.org/stable/tutorials/text/text_props.html).\n", "\n", "Every so often it is required to annotate elements of a graph, such as the beautiful point above. The `annotate` function makes it easy: just indicate the location of the point of interest, and the position of the text, plus optionally some extra arguments for the text and the arrow." ] }, { "cell_type": "code", "execution_count": 21, "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` argument:" ] }, { "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", "\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\",\n", " fc=\"#EEEEFF\", lw=5)\n", "plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black',\n", " ha=\"center\", bbox=bbox_props)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just for fun, if you want an [xkcd](https://xkcd.com)-style plot, just draw within a `with plt.xkcd()` section:" ] }, { "cell_type": "code", "execution_count": 23, "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\",\n", " fc=\"#EEEEFF\", lw=5)\n", " plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black',\n", " 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": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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3yEpm7VJKZSux53goRpnu9VdAdHaS+s14enpm3EF5U+fPwzPPwO+/w+TJ5o1ycBERETdMj3QFrtouITKz/u/1fLb1M4Y0GHL7SR0gLg5Wr4Zu3fJk1MEeY+xNgCeAXUqpqPTf/Z/Wepkdjn29YsXgl1/g0Udh4EA4dQreesuphmaEEM4lOTWZfkv6UdG3Iu+0eOf2nhwfD4UKQfHisHUrFM2bha1znNi11uuAvMus3t6weLHpub/zDnh4wBtv5NnLCyHyl/fWvUf02WiWPbYMnwK3MZZ/8iS0awdBQfDVV3mW1MFZ7zz18IAvv4R774XHrFtXUAjh2iJPRjJ67Wh61epFuyrtsv/E/fvhwQfNNcEP8n7hDeetFaMUvPIKVKxoLqq+9x5cuGB1VEIIF3E55TK9F/emVOFSTG4/OesnXLV1KzRpAgkJ8Ouv0KZN7gV5E86b2K+1fbsZjmnSBOy8GpEQIn8aGT6S6LPRzOg4g+KFbl0SO0NSEjzyiBkyXrcOQkJyN8ibcI3EHhwMK1bA8ePQsKFJ9EIIcYdWHlzJxM0TGRQyiNaVW2f/iV5e8M03sHEj3Hdf7gWYBddI7AChoWYaZMGC0LQpLF9udURCCCcUezmWJ394khola/Beq/eyfoLNBsOHw0fps72bNIHSpXM3yCy4TmIHqFHD/KWsW9dpbmASQjgOrTUDlg4g5mIMczrPyXqpu8uXoWdPc9PRkSNmjroDcM5ZMbdSurQZ27o6t/3XX6F582zfxiuEyL/m7prLN3u+4d0W73J/mSxuwDt7Fjp2NCMFH34IL73kMPfUuGa2u/rmbt4MLVtC9+5w8aK1MQkhHNpfF/5i4LKBPHD3A4xoMuLWOyclmSGXbdvMmPrQoQ6T1MFVE/tV9eubca/vv4f//AeOHrU6IiGEA0qzpRH2fRhaa2Z1moW7WxaF+7y8TA89IsKUCXAwrp3YlYIXX4SlS+HAAZPoN91RRWEhhAt7M+JN1vy1hkntJlGp2E1qVmkNEybAzz+bx888Y2bhOSDXTuxXtWsHGzaYuaU7d1odjRDCgSzbv4zRa0fTN7AvYYFhme905YpJ5C++CNeUHHdUrnfx9GZq1oRdu/6ZLbNrl/mdXFQVIt86cuEIjy9+nLr+dfmk/SeZ73TuHHTtCmvWwP/9n6lR5eDyV1a7mtSPHIEGDaBLF1N9TQiR7ySlJtFtYTds2saiHosyn9oYE2OGcDduhNmzYcwYp+gMOn6EuaFiRRg71oy9h4TA3r1WRySEyGNDfh7CtpPbmNlpJpWLV858Jz8/0wGMiIDHH8/T+HIifyZ2pWDwYAgPh9hYk9y//97qqIQQeWT2jtlM2TaFEY1H0LFax+s3pqbCq6+aDp9SZo66g14kvZn8mdivat7czEOtVs3cyCSEcHm7Tu/imaXP0KxiM8a0HHP9xpgYU2733Xfhhx+sCdAO8s/F05upUAF++w2uLswcHW3uXi1WzNq4hBB2F5cUR9eFXfH18mV+t/nXL0i9bZsZdjl9GmbMgLCbzJBxAvm7x36Vlxd4epqPYI88YqpFSoVIIVxKqi2Vnt/25PCFwyzotoDSPtcU6lq3ztxJqjWsX+/USR0ksV/PwwNmzjRzVhs1gs8/d5iiPkKIO6e1ZtDyQaw4uIJP239K04pNr98hOBgGDDC99qAga4K0I0ns/9a4MURGQosW8Oyz0Ls3XLpkdVRCiBz4eNPHfLb1M4Y3Hk6/oH7ml3/8AR06QFyc+dQ+YQKULGlpnPYiiT0zfn7w009mzuq5c6bGuxDCKS3Zt4SXVrxEl+pd/qmvPmuWmQ23eTMcPGhtgLlAEvvNuLmZu8yWLzcXVk+eNDcoyNCMEE4j8mQkvRb1IqhsELM7z8btchL8979mDL1+fYiKgnr1rA7T7iSxZ+XqXWYffwx9+sBjj8mi2UI4gePxx3l43sMUL1ScHx/9EW9PbxgyBL76ynTawsOhTBmrw8wVMt0xu8aMgSJFYNQoU1Ds66/NeLwQwuEkXkmkw7wOJCQnsL7vOsrgYzaMGmXWZ2h9G+uYOiHpsWeXu7u5G23dOtOLb9oUFi2yOiohxL8kpybTdWFXdpzewYJWU6j91EhTxMtmg3LlXD6pgyT229ewoRmXe+EFM3MGZNxdCAeRkpZCz2978svBX/iy0hDadXjR3FXesaNDrXCU2ySx34miRWH8eHN36pUrpgcwZ44keCEslGZL48kfnuSHfT8w6WIz+vb5yMxw27oVBg6UxH67lFLTlFJnlFK77XE8p3L+vFmp/IknzBJZMTFWRyREvqO15tmfnuXrXV/zbuPXeX7BYfOpessWqFXL6vDynL167DOAtnY6lnPx9ze1Zj74wJQBrllTKkUKkYe01gxdPoQvtn/B/zV+mVdav20W0pk4EQplUmM9H7BLYtda/wbE2uNYTsndHYYPN7cjly8Pr79u6s4IIXLd15HjGb9lIoM2wui4YPPLokWtDcpiMsZuT7VqmcWyly0zdWfi4ii2ebPVUQnhmlJSeP+dB/kyYQl9o70YP+A7VLduVkflEJS20wU/pVQAsFRrnemAllKqP9AfwN/fP2j+NQvCJiYm4uPjY5c4HEnAjBkEzJzJ6VatODBwICl33WV1SHbjqufMVdsFrtU2rTU/zH2ajyscpuMpP156cAq2u4pbHZZdZXa+QkNDt2mtg7N8stbaLl9AALA7O/sGBQXpa61evVq7pKQkfTgsTGtPT639/LSeM0drm83qqOzCVc+Zq7ZLaxdpW2KiTjsfqwf+NFDzJvq/E1vr8F/DrY4qV2R2voCtOhs5VoZiclPBghx58klT271yZbNm4ttvWx2VEM4pPJzUOrUIGxPMJ1s+YWijoUx9fgXuyt3qyByOvaY7zgM2APcppY4ppZ62x3FdRq1apnj/xx//U8A/NlYusAqRHTEx0LcvSe1a0y00hjk+hxgdOppxrceh8tHc9Nthl1oxWute9jiOS3N3h0GDzM9am3nvJ07Ap5+aRT2EEDdauRJ69iQxKZ5Or1RklftfTGo3iedDnrc6MocmQzFWeeopOHvWFBJ7+mm5sUmIa139NFu9Oqea1qPV+zWJ8DjGzE4zJalngyR2KyhlihJFR8OIEabo/333mQJjQuRn58/Dc89Bu3agNVEeZwlp9ie7Eg6wqMci+tTtY3WETkESu5V8fOD992HHDmjVCmrXNr9PTLQ2LiHyWmoqTJliOjhTpkCNGize/Q1NpjVBo1nXdx0dq3W0OkqnIYndEdSoAQsXgq+v+QfeqBH06AGHD1sdmRC5b/9+s4rRgAFQrRp661bGdC1F18U9qV2qNlv6beH+MvdbHaVTkcTuaNLSTDGxn36C6tXhlVcgPt7qqISwvytXzPeyZeGuu+Dbb7kc/jO9D43jtdWv0bt2byKejKC0T2lLw3RGktgdTcGCZpWXfftMr/2996BKFTMeL4QrOHfOLFFXr55J7oULw2+/8VfLYJrNbM783fMZ23IsszvPxsvDy+ponZIkdkdVvry5qLppk7mQVKWK+f2hQ1L3XTinxEQYPRruuQcmTYImTSApCYBFexYROCWQvWf3srjnYkY+MFLmqOeAJHZHFxICM2aYomKJiWYFp5AQWLXK6siEyL79+83d16+/blYe27kTpkzhciFPBiwdQLdvulG1RFWiBkTRqVonq6N1epLYnYmXl5lFc/q0mUXTqpVZSEAIR5SWBn/8YX6uXBk6dTILwX/3HdSsye4zu6n/RX2mbJvCiMYjWNt3LfcUu8fSkF2FJHZn4uEBffvCn3+apfl27DC99507rY5MiH+kpsLcuaaUxgMPwIULZgH4KVOgYUO01kzZOoX6X9Qn5lIMKx5fwfut36eAewGrI3cZktidkZeXufh06BBMmwZ16pjfT51qekRCWCE1FWbONNN3H3/cdESmTr1u0YsjF47Q/uv2DPhpAE0rNmXngJ20qdzGwqBdkyR2Z1akiOnBg5ldMHq0KVHQujWsXWttbCL/iYyEJ580s1wWLzafKLt3Bzc3Um2pfLThI2p+WpN1f69jYtuJLO+9HH8ff6ujdkmS2F1FgQKwZw+MG2eGZpo2NR+DIyOtjky4qoQEMyT46qvmcf36pizG9u3QubMZfgGiTkXR8MuGDP1lKC0qtWDPc3t4ocELuClJP7lF3llX4uMDw4aZO1YnTDDVI729zbaTJzOmlgmRI8ePw8svQ4UK8NJLsHUr2GxmW5MmphYScCnlEi+vfJngqcEciz/Ggm4L+PHRH6ngW8HC4PMHSeyuyNsbBg+GAwdM7Q2A55+HihXhnXdMVUkh7sScORAQAB9+CG3bwubNsGJFRu8cIM2WxvTI6VSdVJUPfv+AvoF9iR4YTY+aPWRueh6RxO7KrvnPxqBBEBwMb7xhbn4KCzMfmYW4lStXYMECk8DBXMN59lnTaZg/3wy/pNNa8/OBn7l/yv089eNTlCtajt+e/I0vHvmCYoWKWdSA/MkuC20IJ9Csmfnaswc++cTc1VqxormtOy3N/AcuVMjqKIWjOH7czGiZOhVOnYL+/c3U2nvugYkTb9g98mQkw1cOZ9XhVVQuVpmF3RbSrUY36aFbRHrs+U2NGiaxnzhhxkcBliyBcuXM4927rY1PWG/QoH+G7YKCYNky+OyzTHfdcWoHvRb1ImhqEFGnovi47cfsGbiH7jW7S1K3kCT2/KpIEVNRD8x/4latYPJkUxO+fn2zZF9KiqUhijyyb58pPHf1fAcEwNChcPAgLF1qahVdM6yntWbNkTW0n9uewCmBLP1zKSMfGMnBQQcZ1GCQ3GjkAGQoRsD995t68GfPmjsGp0+H//3PjKUC7N1rbgn39LQ2TmE/Fy7AN9+Yc71hg1mTt21bsxbA1U9y/2LTNpbsW8J7699j47GNlPQuyZgWY3g2+FkZQ3cwktjFP/z8zGyawYNNklcKkpPNFDY3N7OcX8+eZo68cF7R0VC3rumhV68OH3xg7hQtUybT3WMuxjBrxyy+2P4F+87to9Jdlfi0/ac8GfgkhTzluowjksQuMufnZ767ucFXX5mZEbNnm3ofpUtT8plnoHlzS0MU2XDxolm0ZcEC7vH0NOfsvvtg5Ejo0MHMlMpkLNymbaw6tIovtn/B93u/J8WWQqPyjZjbZS49avbAw01ShyOTsyNuzdPTVOXr1Om6JJFcooTZvmmTSfaPPGJKGRQubGW04qp588ywWni4+dTl709au3Zmm5sbvP12pk/bf24/C/5YwLTIaRy+cJjihYozsP5Anq73NLVK1crDBoickMQusq9wYbOqU48exEdEmN/t32/qgkyfblZ/atnSJPknnzSPRe5LS4OoKFi92lz0VMrU64+ONuuIduwITZvy19q1VPrXU7XW/BHzB4v2LGJR9CJ2ndkFQGhAKGNajKFz9c6yipETksQucubxx824+9q18OOP5mvdOnj6abN94UJzYS40FIoXtzZWV3LyJPzwg0ngv/4KsbEmoT/yCFStalYo8vLKdJglJS2FTcc3sXz/chZFL2LfuX0oFE3ubsL4B8fTpXoX7va924JGCXuRxC5yztPTrIrTooUpCnX8uCnZCubW8y1bTIIJCjJjvG3amGEbkT1amymJv/9u7vysVs28p88+a+4ifuSRfxZe8U+vlnjNzWY2bWPX6V0sPLqQcV+PY82RNVxMuYi7cqd5QHMGNxhMp2qdKFMk84unwvlIYhf2pZRJNletX2+SUHg4rFxp7lo8ccIkdq3NzTC1apkl/2rUkCmVV8XHmxvJ1q830xFjY83vx40zib1lSzMNtWrVG3rlF5IusPXEVrYc38LmE5tZ//d6Yi7FAFC1RFXC6obR8p6WNA9oTvFC8inKFdklsSul2gIfA+7Al1rr9+xxXOECPD1NL7NxY1OnJjkZ4uLMtthYM1QzebJ5XKAA1KxpKgf27GkWbrh4EXx9rYs/N2lt/shFRpox8shIM0vllVfMe/HWW1Cpkrlw3bixmXZatap5buHC2KpW4a8LR4g+G010TDSRpyLZcmILf577M+Ml7i1+Lw/e+yCtKrXC+7Q33R/sbklTRd7KcWJXSrkDnwCtgWPAFqXUj1rrPTk9tnBBBQtCqVLm5xIlTB2Sw4fN7JodO0xyu3rRNSrK3AVbpoyZonf1q0sXc7ess0hIMKtd7dtnHvfoYb7XqmVq91x1773/rIbl5QVnzpDkXYCjcUf5O+5v/o7bwF+/zWffuX1Ex0Sz79w+klL/KcVctkhZ6petT1jdMOqXrU9w2eDrbhyKuHrBW7g8e/TYQ4ADWutDAEqp+UBHQBK7yJpSprDUPfdAr17XbytVCt5916zxum+fuVMyNtbcXFOxopmN89xzpi743Xeb7xUqQJ8+ULIknDtnPh34+ZkSCvauXXLhgvnDdO6c+Tp71hRTGzDAbA8Lg++/h/h4NJDkAfG1qpDQqh4JyQnEP9WSOPUAMeWLEVOiEDGp8cRcOsjZue05c/EMR+OPcubimevfLhQV76pIdb/qtKzUkuolq1PNrxrV/apTwruEfdsnnJY9Ens54Og1j48BDexwXJHP2SqUJ/7FZ4lPjic+Od4kw5hjJLidIiFyOpdT95D8aABJ8edITjhC0p9xJO9NIaXMdlKLFiFtZxRpmzeR6gZp7gpbAU+0hzu6dWt0wYLow4fh6N/oa+qgJF+5wuRTzcDNDX34EProUXRaGqSloW1paG1Dt2pFmk4jLSqStFMnzfHdINUNrni6kfzZJySlJpFc+SxJQ1JIdivIJVJJJQ3YD5OqXN/QaPPN29Obkt4l8fP2o1ThUgSVCeJu37uv+ypXtJzUYhFZUlrrnB1Aqe7Ag1rr/6Y/fgII0Vq/8K/9+gP9Afz9/YPmz5+fsS0xMREfH58cxeGoXLVtOWlXqi2Vs1fOcjrpNGeSz3A66TRnr5zlQsoF4q7Eme8pccSlxGHDlu3jeipPPJUHHm4euCsP3G0az5Q03DW4p2ncbBqlNanFioObG54JiXhcvIiyaa725TWa5DJl0UrhGR9vtis309tP/36llD9uyo0Cl5PwSLHh5uGJ8vBEeRTAo4A3nh4F8XTzpIAqQAG3f74KexSmkHshCnsUxtvdG293bwp7FMbX05e7PO/Cyz1354vLv0Xnklm7QkNDt2mtg7N6rj167MeAa9e6Kg+c+PdOWuupwFSA4OBg3fya29EjIiJo7qK3p7tq27Jql03b+Dvub6Jjotl7dq+5wHc2msPnD3Mi4QSa6zsUxbyKUapwKUr6lqSSdyX8vP0yeq9FCxalaMGiFClYxHwvUASfAj54e3pT0KMgXh5eFHAvYJc1NF31fIHrtk3adSN7JPYtQBWlVCXgOPAo8JgdjiucRJotjT0xe9hyYgubj29m64mt7InZw+XUyxn7+Hn7Ud2vOq0rt6aib8XrhhfKFy2Pt6e3hS0QwrXkOLFrrVOVUs8DKzDTHadprf/IcWTCYSUkJ7Dh3AaW/rKUTcc3sf3kdi6lXALAt6AvwWWDGRA8IOOiXvWS1fHz9rM4aiHyD7vMY9daLwOW2eNYwvFcSbvCxmMbCT8UzqrDq9h8fDOptlQKuhekXpl6/Pf+/1K/XH3ql61PlRJV7DIkIoS4c3LnqchUXFIcS/9cyqLoRaw4uIJLKZdwU24Elw1mROMRlIgvwXMdnpMCUUI4IEnsIsO5S+f4cd+PLIpexMpDK7mSdoUyPmUIqxtGm8ptaB7QnLu87gLMhR1J6kI4Jkns+VxKWgrL9i/ji+1f8POBn0nTadztezcD6w+kW41uNCzfUIZWhHAyktjzqYOxB/kq8iumR03nVOIpyviUYWijoXSv2Z2gMkGywrwQTkwSez6SZkvju73f8dnWz/j18K+4KTfaV2lPv3r9aF+lvSx3JoSLkP/J+UBSahKzdsxi3O/jOBB7gIq+FXkn9B2eDHyS8kXLZ30AIYRTkcTuwuKS4piybQrjN47nVOIpgssG8233b+lUrRPubu5WhyeEyCWS2F3QhaQLjFs/jslbJhOfHE/re1ozt8tcQgNCZexciHxAErsLSU5N5tMtnzJ67WjOXz5PtxrdeLnJywSVDbI6NCFEHpLE7gJs2sbCPxbyf6v+j8MXDtOmchs+aPUBdUvXtTo0IYQFJLE7uTVH1jB85XC2nNhCXf+6rHh8BW0qt7E6LCGEhSSxO6kzF8/w4ooX+XrX15QvWp6ZnWbSu3ZvuSgqhJDE7my01szaMYuXfnmJhOQERjUbxctNXqaQZyGrQxNCOAhJ7E7kYOxBnln6DKsOr6JJhSZM7TCVGiVrWB2WEMLBSGJ3Aqm2VD7a8BGjIkZRwL0Anz30Gf2D+ksNFyFEpiSxO7gjF47Qa1EvNh7bSOdqnZnUbhLlipazOiwhhAOTxO7AvvnjG/ot6YdGM6/rPB6t9ajVIQkhnIAkdgd0KeUSQ34ewhfbv6BBuQbM6zqPSsUqWR2WEMJJSGJ3MLtO7+LRRY8SHRPNyCYjeTv0bTzdPa0OSwjhRCSxO5Avt3/JC8tfwLegLyseX0Hryq2tDkkI4YQksTuAVFsqL614iUmbJ9H6ntbM7jwbfx9/q8MSQjgpSewWu5B0gZ7f9uSXg7/wYsMXGdd6nNw9KoTIEUnsFtp/bj8d5nXg0PlDfNnhS56u97TVIQkhXIAkdousOrSK7t90x025Ed4nnKYVm1odkhDCRcitixaYsnUKD855kLJFyrKl3xZJ6kIIu5LEnoe01oz+bTQDfhpA23vb8vvTv8v8dCGE3clQTB7RWjN85XD+t+F/9Knbh68e+QoPN3n7hRD2l6Meu1Kqu1LqD6WUTSkVbK+gXE2aLY1+S/rxvw3/44WQF5jecbokdSFErsnpUMxuoAvwmx1icUkpthQeW/wYX0V+xWv/eY2P234sVRmFELkqR91GrXU0gJKV7zN1KeUSr//xOptiNzGu9TiGNR5mdUhCiHxAxgNySeKVRB76+iE2x25m6sNT6RfUz+qQhBD5hNJa33oHpcKB0plselVr/UP6PhHAMK311lscpz/QH8Df3z9o/vz5GdsSExPx8fG57eAd1RXbFUbuGsmOCzsYWmko7e9ub3VIdudq5+wqV20XuG7b8lO7QkNDt2mts76eqbXO8RcQAQRnd/+goCB9rdWrV2tXkZyarB+a+5BWbyo9e8dsl2rbtaRdzsdV25af2gVs1dnIsXIVz47SbGk88d0T/LT/Jz576DMer/O41SEJIfKhnE537KyUOgY0An5SSq2wT1jOx6Zt9FvSj4V/LOTD1h/yTPAzVockhMincjor5jvgOzvF4rS01gz5eQjTo6YzqtkohjYeanVIQoh8TIZi7ODVX19l0uZJvNTwJUY1G2V1OEKIfE4Sew5N2DiBsevG0r9efz5s86HM6RdCWE4Sew4s2beEl1a8ROdqnfn0oU8lqQshHIIk9jsUeTKSXot6EVQ2iDld5siqR0IIhyGJ/Q4cjz/Ow/Mepnih4vz46I94e3pbHZIQQmSQkgK3KfFKIh3mdSAhOYF1T62jTJEyVockhBDXkcR+G9JsaTy26DF2nN7B0l5LqeNfx+qQhBDiBpLYb8PwlcNZ8ucSJrebTLsq7awORwghMiVj7Nk0ddtUxm8cz+AGgxkYMtDqcIQQ4qYksWfD1hNbeWH5CzxY+UH+1+Z/VocjhBC3JIk9C+cunaPbwm6U9inN3C5zZVqjEMLhyRj7Ldi0jSe+e4KTiSdZ13cdJbxLWB2SEEJkSRL7Lby79l2WH1jOp+0/pX65+laHI4QQ2SJDMTex8uBK3lj9Br1r92ZA8ACrwxFCiGyTxJ6Jo3FHeWzxY9QoWYMpD0+RGjBCCKciif1frqRdoce3PUhKTWJRj0UULlDY6pCEEOK2yBj7v7y88mU2HtvIwm4Luc/vPqvDEUKI2yY99mv8cvAXJmyawPP1n6d7ze5WhyOEEHdEEnu62Mux9P2hLzVK1uCD1h9YHY4QQtwxGYrBrFk6YOkAYi7GsLTXUgp5FrI6JCGEuGOS2IE5O+fwzZ5vGNtyLPeXud/qcIQQIkfy/VDMXxf+4vnlz/PA3Q8wvPFwq8MRQogcy9eJPc2WRtj3YWitmdVpltSBEUK4hHw9FPPRho9Y89capnecTqVilawORwgh7CLf9th3nNrBq7++SpfqXQirG2Z1OEIIYTf5MrFfSbvC4989TgnvElIyQAjhcvLlUMz7695n95ndLOm1BD9vP6vDEUIIu8pRj10pNU4ptVcptVMp9Z1S6i47xZVr9p7dy+i1o+lZsycPV33Y6nCEEMLucjoUsxKopbWuA/wJvJLzkHKPTdvov6Q/hT0L83Hbj60ORwghckWOErvW+hetdWr6w41A+ZyHlHu+3P4la/9ey4dtPsTfx9/qcIQQIlfY8+LpU8ByOx7Prk4mnGTEyhGEBoTSN7Cv1eEIIUSuUVrrW++gVDhQOpNNr2qtf0jf51UgGOiib3JApVR/oD+Av79/0Pz58zO2JSYm4uPjc0cNyK5Rf4xiw7kNTAueRnnvvPtgkRdts4K0y/m4atvyU7tCQ0O3aa2Ds3yy1jpHX0AYsAHwzu5zgoKC9LVWr16tc9P30d9r3kS/+9u7ufo6mcnttllF2uV8XLVt+aldwFadjRybo+mOSqm2wMtAM631pZwcK7fEJ8czcNlA6vjXYVjjYVaHI4QQuS6n89gnAwWBlek3+WzUWjvUys+vhL/CiYQTLO65GE93T6vDEUKIXJejxK61vtdegeSGzcc389nWzxjUYBAh5UKsDkcIIfKEy5YUsGkbg5YPwt/Hn7dD37Y6HCGEyDMuW1Jgzs45bDq+iRkdZ1C0YFGrwxFCiDzjkj32hOQEXg5/mZByITxR9wmrwxFCiDzlkj32MWvHcCrxFN/3/B435ZJ/u4QQ4qZcLusdiD3A+I3jCasbRoPyDawORwgh8pzLJfaXVrxEAfcCjG051upQhBDCEi41FLPiwAqW/LmE91u9T5kiZawORwghLOEyPfaUtBSGrBjCvcXvZXCDwVaHI4QQlnGZHvvkzZPZe3YvS3otoaBHQavDEUIIy7hEj/3MxTO8teYt2t7bloeqPGR1OEIIYSmXSOxvr3mbxCuJjH9wvCxMLYTI95w+sR+MPciUbVPoV68f1fyqWR2OEEJYzukT++urX6eAewHeaPaG1aEIIYRDcOrEHnkyknm75zGkwRCZ3iiEEOmcOrG/suoVihcqzogmI6wORQghHIbTTndcfXg1Kw6u4MPWH+Lr5Wt1OEII4TCcsseutWbkqpFUKFqBgSEDrQ5HCCEcilP22BdHL2bz8c1Me2QaXh5eVocjhBAOxel67Km2VF799VWq+1WXWutCCJEJp+uxT4+czr5z+/iu53d4uDld+EIIkeucqsd+KeUSb655k0blG9Hxvo5WhyOEEA7Jqbq8kzZN4kTCCeZ1nSelA4QQ4iacqsdepkgZngp8iqYVm1odihBCOCyn6rH3qduHPnX7WB2GEEI4NKfqsQshhMiaJHYhhHAxktiFEMLF5CixK6XeUUrtVEpFKaV+UUqVtVdgQggh7kxOe+zjtNZ1tNaBwFJAiqILIYTFcpTYtdbx1zwsDOichSOEECKncjzdUSk1BugDxAGhOY5ICCFEjiitb93JVkqFA6Uz2fSq1vqHa/Z7BfDSWo+6yXH6A/0B/P39g+bPn5+xLTExER8fn9uP3gm4atukXc7HVduWn9oVGhq6TWsdnNVzs0zs2aWUqgj8pLWulY19Y4C/rvmVH3DWLoE4Hldtm7TL+bhq2/JTuypqrUtm9cQcDcUopaporfenP3wE2Jud5/07MKXU1uz8FXJGrto2aZfzcdW2SbtulNMx9veUUvcBNkwPfEAOjyeEECKHcpTYtdZd7RWIEEII+3CUO0+nWh1ALnLVtkm7nI+rtk3a9S92u3gqhBDCMThKj10IIYSdWJLYlVLdlVJ/KKVsSqmbXvVVSh1RSu1Kr0WzNS9jvFO30ba2Sql9SqkDSqmReRnjnVBKFVdKrVRK7U//Xuwm+znFOcvq/VfGxPTtO5VS9ayI83Zlo13NlVJx6ecnSinlFGVAlFLTlFJnlFK7b7LdKc8XZKttt3/OtNZ5/gVUB+4DIoDgW+x3BPCzIsbcbBvgDhwE7gEKADuAGlbHnkW7PgBGpv88EnjfWc9Zdt5/oD2wHFBAQ2CT1XHbqV3NgaVWx3oHbWsK1AN232S7052v22jbbZ8zS3rsWutorfU+K147t2WzbSHAAa31Ia31FWA+4Oirc3cEZqb/PBPoZF0oOZad978jMEsbG4G7lFJl8jrQ2+SM/66yRWv9GxB7i12c8XwB2WrbbXP0MXYN/KKU2pZeksBVlAOOXvP4WPrvHJm/1vokQPr3UjfZzxnOWXbef2c8R9mNuZFSaodSarlSqmbehJbrnPF83Y7bOme5tuZpdmvMZKGJ1vqEUqoUsFIptTf9r5ul7NA2lcnvLJ+edKt23cZhHPKc/Ut23n+HPEdZyE7M2zG3pScqpdoD3wNVcjuwPOCM5yu7bvuc5Vpi11q3ssMxTqR/P6OU+g7zUdPyJGGHth0DKlzzuDxwIofHzLFbtUspdVopVUZrfTL9I+6ZmxzDIc/Zv2Tn/XfIc5SFLGPW15Ta1lovU0p9qpTy01o7e60VZzxf2XIn58xhh2KUUoWVUkWu/gy0ATK9auyEtgBVlFKVlFIFgEeBHy2OKSs/AmHpP4cBN3wycaJzlp33/0egT/psi4ZA3NWhKAeWZbuUUqWVUir95xBMDjiX55HanzOer2y5o3Nm0VXgzpi/sMnAaWBF+u/LAsvSf74Hc1V/B/AHZpjD8ivY9mhb+uP2wJ+YWQwO3zagBLAK2J/+vbgzn7PM3n9MraMB6T8r4JP07bu4xewtR/rKRrueTz83O4CNQGOrY85mu+YBJ4GU9P9fT7vC+cpm2277nMmdp0II4WIcdihGCCHEnZHELoQQLkYSuxBCuBhJ7EII4WIksQshhIuRxC6EEC5GErsQQrgYSexCCOFi/h/11l4kCrfqBwAAAABJRU5ErkJggg==\n", 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" ] }, "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": 25, "metadata": { "scrolled": true, "tags": [] }, "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', linthresh=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 (e.g. (-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 (e.g. 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" ] }, { "cell_type": "code", "execution_count": 26, "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.grid(True)\n", "plt.title(\"Manual ticks and tick labels\\n(plus minor ticks) on the y-axis\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Polar projection\n", "Drawing a polar graph is as easy as setting the `projection` argument to `\"polar\"` when creating the subplot." ] }, { "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": [ "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: when creating a subplot, set the `projection` to `\"3d\"`. It returns a 3D axes object, which you can use to call `plot_surface`, providing x, y, and z coordinates, plus other optional arguments. For more information on generating 3D plots, check out the [matplotlib tutorial](https://matplotlib.org/stable/tutorials/toolkits/mplot3d.html)." ] }, { "cell_type": "code", "execution_count": 28, "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(-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,\n", " 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": 29, "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": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "np.random.seed(42) # to make this notebook's output reproducible\n", "\n", "x, y = np.random.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": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x, y, scale = np.random.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 arguments you can provide, such as the fill and edge colors and the alpha level." ] }, { "cell_type": "code", "execution_count": 32, "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 = np.random.rand(2, n)\n", " scale = 500.0 * np.random.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": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_line(axis, slope, intercept, **kwargs):\n", " xmin, xmax = axis.get_xlim()\n", " plt.plot([xmin, xmax],\n", " [xmin*slope+intercept, xmax*slope+intercept],\n", " **kwargs)\n", "\n", "x = np.random.randn(1000)\n", "y = 0.5*x + 5 + np.random.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": 34, "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": 35, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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, histtype='bar', # default type\n", " label='bar hist')\n", "plt.hist(data2, color='b', alpha=0.65, histtype='stepfilled',\n", " 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',\n", " 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). It returns the image data, as a NumPy array. Let's try it with the `my_square_function.png` image we saved earlier." ] }, { "cell_type": "code", "execution_count": 36, "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": 37, "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)\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": 38, "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": [ "Under the hood, `imread()` uses the Python Image Library (PIL), and Matplotlib's documentation now recommends using PIL directly:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(288, 432, 4) uint8\n" ] } ], "source": [ "import PIL\n", "\n", "img = np.asarray(PIL.Image.open(\"my_square_function.png\"))\n", "print(img.shape, img.dtype)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the array now contains unsigned 8-bit integers (from 0 to 255), but that's fine as `plt.imshow()` supports this format as well:" ] }, { "cell_type": "code", "execution_count": 40, "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": [ "You can also generate an image from scratch:" ] }, { "cell_type": "code", "execution_count": 41, "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 yellow (for high values), but you can select another color map. For example:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": "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\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": 43, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD4CAYAAAAaT9YAAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAPgElEQVR4nO3df4xdZZ3H8fdnC/yxQAKKIL+srGlI0CxVm66G3Q2uCykNEd24bpvNiq7JqJFEk/1DVhP1HxOzu7obF0NTlwZIFNQoSmJViDFBE38wbQoUAekSXMZpqEoWbDAh1e/+Mafr7e290+Ge28w8M+9XMrnnPOc55/k+Oemnp8/c25uqQpLUpj9a7gIkSZMzxCWpYYa4JDXMEJekhhniktSwU5a7gFGSMwpeutxl6EV4/etfttwl6EX65Z49y12CXoRfA4erMtyelfgWw2R9wUeXuwy9CFUzy12CXqSdOS4PtIJ9Evj5iBB3OUWSGtYrxJNsSfJYkgNJbhxxPEk+2x1/MMnr+ownSTrWxCGeZB3wOeAa4DJge5LLhrpdA2zofmaAmycdT5J0vD5P4puBA1X1RFW9ANwJXDfU5zrg9lrwI+CsJOf3GFOSNKBPiF8IPDWwP9e1vdg+ACSZSTKbZBYO9yhLktaOPiE+6lfbw291WUqfhcaqnVW1qao2wRk9ypKktaNPiM8BFw/sXwTMT9BHkjShPiF+P7AhySVJTgO2AXcP9bkbeGf3LpU3AM9W1cEeY0qSBkz8ic2qOpLkBuA7wDpgV1U9nOR93fEdwG5gK3AAeB54d/+SJUlH9frYfVXtZiGoB9t2DGwX8IE+Y0iSxvMTm5LUMENckhpmiEtSwwxxSWqYIS5JDTPEJalhhrgkNcwQl6SGGeKS1DBDXJIaZohLUsMMcUlqmCEuSQ0zxCWpYYa4JDXMEJekhhniktQwQ1ySGjZxiCe5OMn3kjyS5OEkHxzR58okzybZ1/18rF+5kqRBfb5j8wjwT1W1N8mZwJ4k91bVT4f6fb+qru0xjiRpjImfxKvqYFXt7bZ/AzwCXDitwiRJJzaVNfEkrwReC/x4xOE3JnkgybeSvHqRa8wkmU0yC4enUZYkrXp9llMASHIG8FXgQ1X13NDhvcD6qjqcZCvwdWDDqOtU1U5g58I111ffuiRpLej1JJ7kVBYC/AtV9bXh41X1XFUd7rZ3A6cmOafPmJKkP+jz7pQAtwCPVNVnxvR5edePJJu78X496ZiSpGP1WU65AvgH4KEk+7q2jwCvAKiqHcDbgfcnOQL8FthWVS6VSNKUTBziVfUDICfocxNw06RjSJIW5yc2JalhhrgkNcwQl6SGGeKS1DBDXJIaZohLUsMMcUlqmCEuSQ0zxCWpYYa4JDXMEJekhhniktQwQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ1rO+33T+Z5KEk+5LMjjieJJ9NciDJg0le12c8SdKx+nxR8lFvqqpfjTl2DbCh+/kz4ObuVZI0BSd7OeU64PZa8CPgrCTnn+QxJWnN6BviBdyTZE+SmRHHLwSeGtif69qOk2QmyezCsszhnmVJ0trQdznliqqaT3IucG+SR6vqvoHjGXFOjbpQVe0EdgIk60f2kSQdq9eTeFXNd6+HgLuAzUNd5oCLB/YvAub7jClJ+oOJQzzJ6UnOPLoNXA3sH+p2N/DO7l0qbwCeraqDE1crSTpGn+WU84C7khy9zher6ttJ3gdQVTuA3cBW4ADwPPDufuVKkgZNHOJV9QRw+Yj2HQPbBXxg0jEkSYvzE5uS1DBDXJIaZohLUsMMcUlqmCEuSQ0zxCWpYYa4JDXMEJekhhniktQwQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ1zBCXpIYZ4pLUMENckhrW54uSL02yb+DnuSQfGupzZZJnB/p8rHfFkqT/1+c7Nh8DNgIkWQf8ArhrRNfvV9W1k44jSRpvWsspbwb+u6p+PqXrSZKWYFohvg24Y8yxNyZ5IMm3krx63AWSzCSZTTILh6dUliStbr1DPMlpwFuAr4w4vBdYX1WXA/8JfH3cdapqZ1VtqqpNcEbfsiRpTZjGk/g1wN6qenr4QFU9V1WHu+3dwKlJzpnCmJIkphPi2xmzlJLk5UnSbW/uxvv1FMaUJNHj3SkASf4YuAp470Db+wCqagfwduD9SY4AvwW2VVX1GVOS9Ae9QryqngdeOtS2Y2D7JuCmPmNIksbzE5uS1DBDXJIaZohLUsMMcUlqmCEuSQ0zxCWpYYa4JDXMEJekhhniktQwQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ1zBCXpIYZ4pLUMENckhp2whBPsivJoST7B9pekuTeJI93r2ePOXdLkseSHEhy4zQLlyQt7Un8VmDLUNuNwHeragPw3W7/GEnWAZ8DrgEuA7YnuaxXtZKkY5wwxKvqPuCZoebrgNu67duAt444dTNwoKqeqKoXgDu78yRJUzLpmvh5VXUQoHs9d0SfC4GnBvbnujZJ0pScchKvnRFtNbZzMgPMLOy95ORUJEmrzKRP4k8nOR+gez00os8ccPHA/kXA/LgLVtXOqtpUVZvgjAnLkqS1ZdIQvxu4vtu+HvjGiD73AxuSXJLkNGBbd54kaUqW8hbDO4AfApcmmUvyHuBTwFVJHgeu6vZJckGS3QBVdQS4AfgO8Ajw5ap6+ORMQ5LWphOuiVfV9jGH3jyi7zywdWB/N7B74uokSYvyE5uS1DBDXJIaZohLUsMMcUlqmCEuSQ0zxCWpYYa4JDXMEJekhhniktQwQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ1zBCXpIYZ4pLUMENckhpmiEtSw5byRcm7khxKsn+g7V+TPJrkwSR3JTlrzLlPJnkoyb4ks1OsW5LE0p7EbwW2DLXdC7ymqv4U+Bnwz4uc/6aq2lhVmyYrUZI0zglDvKruA54Zarunqo50uz8CLjoJtUmSTmAaa+L/CHxrzLEC7kmyJ8nMYhdJMpNkdmHZ5fAUypKk1e+UPicn+ShwBPjCmC5XVNV8knOBe5M82j3ZH6eqdgI7F667vvrUJUlrxcRP4kmuB64F/r6qRoZuVc13r4eAu4DNk44nSTreRCGeZAvwYeAtVfX8mD6nJznz6DZwNbB/VF9J0mSW8hbDO4AfApcmmUvyHuAm4EwWlkj2JdnR9b0gye7u1POAHyR5APgJ8M2q+vZJmYUkrVEnXBOvqu0jmm8Z03ce2NptPwFc3qs6SdKi/MSmJDXMEJekhhniktQwQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ1zBCXpIYZ4pLUMENckhpmiEtSwwxxSWqYIS5JDTPEJalhhrgkNcwQl6SGLeU7NnclOZRk/0DbJ5L8ovt+zX1Jto45d0uSx5IcSHLjNAuXJC3tSfxWYMuI9n+vqo3dz+7hg0nWAZ8DrgEuA7YnuaxPsZKkY50wxKvqPuCZCa69GThQVU9U1QvAncB1E1xHkjRGnzXxG5I82C23nD3i+IXAUwP7c13bSElmkswmmYXDPcqSpLVj0hC/GXgVsBE4CHx6RJ+MaKtxF6yqnVW1qao2wRkTliVJa8tEIV5VT1fV76rq98DnWVg6GTYHXDywfxEwP8l4kqTRJgrxJOcP7L4N2D+i2/3AhiSXJDkN2AbcPcl4kqTRTjlRhyR3AFcC5ySZAz4OXJlkIwvLI08C7+36XgD8V1VtraojSW4AvgOsA3ZV1cMnYxKStFadMMSravuI5lvG9J0Htg7s7waOe/uhJGk6/MSmJDXMEJekhhniktQwQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ1zBCXpIYZ4pLUMENckhpmiEtSwwxxSWqYIS5JDTPEJalhhrgkNcwQl6SGLeU7NncB1wKHquo1XduXgEu7LmcB/1tVG0ec+yTwG+B3wJGq2jSVqiVJwBJCHLgVuAm4/WhDVf3d0e0knwaeXeT8N1XVryYtUJI03lK+KPm+JK8cdSxJgHcAfzXluiRJS9B3TfwvgKer6vExxwu4J8meJDOLXSjJTJLZJLNwuGdZkrQ2LGU5ZTHbgTsWOX5FVc0nORe4N8mjVXXfqI5VtRPYCZCsr551SdKaMPGTeJJTgL8BvjSuT1XNd6+HgLuAzZOOJ0k6Xp/llL8GHq2quVEHk5ye5Myj28DVwP4e40mShpwwxJPcAfwQuDTJXJL3dIe2MbSUkuSCJLu73fOAHyR5APgJ8M2q+vb0SpckLeXdKdvHtL9rRNs8sLXbfgK4vGd9kqRF+IlNSWqYIS5JDTPEJalhhrgkNcwQl6SGGeKS1DBDXJIaZohLUsMMcUlqmCEuSQ0zxCWpYYa4JDXMEJekhhniktQwQ1ySGmaIS1LDUrXyvpM4yS+Bnw81nwP8ahnKOdlW67xg9c7NebVnNcxtfVW9bLhxRYb4KElmq2rTctcxbat1XrB65+a82rOa5+ZyiiQ1zBCXpIa1FOI7l7uAk2S1zgtW79ycV3tW7dyaWROXJB2vpSdxSdIQQ1ySGrbiQzzJliSPJTmQ5MblrmeakjyZ5KEk+5LMLnc9k0qyK8mhJPsH2l6S5N4kj3evZy9njZMaM7dPJPlFd9/2Jdm6nDVOIsnFSb6X5JEkDyf5YNfe9H1bZF7N37NxVvSaeJJ1wM+Aq4A54H5ge1X9dFkLm5IkTwKbqqrpDyEk+UvgMHB7Vb2ma/sX4Jmq+lT3l+/ZVfXh5axzEmPm9gngcFX923LW1keS84Hzq2pvkjOBPcBbgXfR8H1bZF7voPF7Ns5KfxLfDByoqieq6gXgTuC6Za5JQ6rqPuCZoebrgNu67dtY+IPUnDFza15VHayqvd32b4BHgAtp/L4tMq9Va6WH+IXAUwP7c6yuG1LAPUn2JJlZ7mKm7LyqOggLf7CAc5e5nmm7IcmD3XJLU0sOw5K8Engt8GNW0X0bmhesons2aKWHeEa0rdz1nxfviqp6HXAN8IHun+5a+W4GXgVsBA4Cn17WanpIcgbwVeBDVfXcctczLSPmtWru2bCVHuJzwMUD+xcB88tUy9RV1Xz3egi4i4Xlo9Xi6W598ug65aFlrmdqqurpqvpdVf0e+DyN3rckp7IQdF+oqq91zc3ft1HzWi33bJSVHuL3AxuSXJLkNGAbcPcy1zQVSU7vfvFCktOBq4H9i5/VlLuB67vt64FvLGMtU3U05Dpvo8H7liTALcAjVfWZgUNN37dx81oN92ycFf3uFIDurUD/AawDdlXVJ5e3oulI8icsPH0DnAJ8sdW5JbkDuJKF/+7zaeDjwNeBLwOvAP4H+Nuqau4XhGPmdiUL/ywv4EngvUfXkVuR5M+B7wMPAb/vmj/Cwvpxs/dtkXltp/F7Ns6KD3FJ0ngrfTlFkrQIQ1ySGmaIS1LDDHFJapghLkkNM8QlqWGGuCQ17P8AESl6+m0NvoIAAAAASUVORK5CYII=\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 may be nicer in some cases:" ] }, { "cell_type": "code", "execution_count": 44, "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": 45, "metadata": { "tags": [] }, "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": 46, "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", " # we only plot the first `num` data points.\n", " line.set_data(data[..., :num] + np.random.rand(2, num) / 25)\n", " return line,\n", "\n", "line_ani = animation.FuncAnimation(fig, update_line, frames=50,\n", " 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 `