{ "metadata": { "name": "", "signature": "sha256:26b9e5f1c17a686e88e4c53911034c4cf5df050773ab6643db6e402c727cd8da" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Matplotlib Tutorial: 6. Style Sheets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One common complaint against matplotlib is its relatively ugly default settings.\n", "Version 1.4 introduced a nice way to correct for this, using built-in style sheets.\n", "\n", "Again, we'll start with the basic inline setting and imports:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "from __future__ import print_function, division\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recall that the default matplotlib plot looks something like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 10)\n", "\n", "def plot_curves():\n", " for i in range(6):\n", " plt.plot(x, np.sin(x + i), label=str(i));\n", " plt.ylim(-2, 4)\n", " plt.legend(ncol=2, frameon=False)\n", " \n", "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FmPf1PCzYuQBlhjJZXrOkZD+USn+UlR116HjGeKKCv3/bubTOYKu2IfrmaMQs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\nONcnr//+O78Q161zydfAGMP2/Hz4K5X4xcWOg9X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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ugly color combination, and ugly default plot.\n", "\n", "Fortunately, in matplotlib 1.4 or newer, we can adjust the style with a single line:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.style.use('ggplot')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Ebc1jSuYNGD80g/sTH9wBOto1tm/w4HAZuGCKHZO5b0FNeDrQ/3ovAOoNt6Ak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\nyM/Pj/g5/EE3df2HOO2uRpK9XKNNpkD243JV4VEvRKhjb4Y/ElpPA0v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DbrcDEBcXR19f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\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much nicer color choice, and much saner defaults!\n", "\n", "The available style sheets can be listed using the following:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(plt.style.available)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "['grayscale', 'bmh', 'dark_background', 'fivethirtyeight', 'ggplot']\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at each of these in turn.\n", "For each, we'll restore the defaults before activating them" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# restore defaults\n", "plt.rcdefaults()\n", "%matplotlib inline\n", "\n", "plt.style.use('dark_background')\n", "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JPXmhXoepdfuO1DaqExlZ2JCxhY3S53OISO3WcnBwoG3btpGPj0+p1wCU+5QxNZVReHhd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\nn2ah+toZ5Nh0RobLQNi6+0JNTb3F8nByckGb1iOQkmSO0rI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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore defaults\n", "plt.rcdefaults()\n", "%matplotlib inline\n", "\n", "plt.style.use('bmh')\n", "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qeUyHOtpLdtH15sPe0qRCRcDS76Gbez9dh1roPlYDMij0akIXpmOaEnfBztFl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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore defaults\n", "plt.rcdefaults()\n", "%matplotlib inline\n", "\n", "plt.style.use('grayscale')\n", "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KSgqUlZW5asOurKzEqVOnIC8vjyVLlnB1LJhMJhISEpCTkwNra2uuTm7nzp3D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\nTPvczMzsMdHVxVRXkiTKysp48OCB9tCM9NVqNY0aNcLMzIxGjRppD3N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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore defaults\n", "plt.rcdefaults()\n", "%matplotlib inline\n", "\n", "plt.style.use('ggplot')\n", "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Ebc1jSuYNGD80g/sTH9wBOto1tm/w4HAZuGCKHZO5b0FNeDrQ/3ovAOoNt6Ak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\nr3WyJMsadYl1JHg9Mvt3DiKpJRYtN6ObkY+UkR06HErPQko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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore defaults\n", "plt.rcdefaults()\n", "%matplotlib inline\n", "\n", "plt.style.use('fivethirtyeight')\n", "plot_curves()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SXMFuX12S8V53M56PfQ6iY0d8/Et1dMB/v+5q8vDPKic7m4aegLAgzcTtBbZB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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to create your own stylesheets in this way; for more information see http://matplotlib.org/users/style_sheets.html" ] } ], "metadata": {} } ] }