{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*\n", "\n", "*No changes were made to the contents of this notebook from the original.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Visualization with Matplotlib](04.00-Introduction-To-Matplotlib.ipynb) | [Contents](Index.ipynb) | [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simple Line Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Perhaps the simplest of all plots is the visualization of a single function $y = f(x)$.\n", "Here we will take a first look at creating a simple plot of this type.\n", "As with all the following sections, we'll start by setting up the notebook for plotting and importing the packages we will use:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-whitegrid')\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For all Matplotlib plots, we start by creating a figure and an axes.\n", "In their simplest form, a figure and axes can be created as follows:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Matplotlib, the *figure* (an instance of the class ``plt.Figure``) can be thought of as a single container that contains all the objects representing axes, graphics, text, and labels.\n", "The *axes* (an instance of the class ``plt.Axes``) is what we see above: a bounding box with ticks and labels, which will eventually contain the plot elements that make up our visualization.\n", "Throughout this book, we'll commonly use the variable name ``fig`` to refer to a figure instance, and ``ax`` to refer to an axes instance or group of axes instances.\n", "\n", "Once we have created an axes, we can use the ``ax.plot`` function to plot some data. Let's start with a simple sinusoid:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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OAh7ih3gjPb8aDMOwHQ7pxfVqBW43tNJ330iSIn2RX3kHpQ2tbIfy0Gw+0R/J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\nlOgJIcTG2USi1+v1WLlyJebNm4fU1FS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = plt.axes()\n", "\n", "x = np.linspace(0, 10, 1000)\n", "ax.plot(x, np.sin(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, we can use the pylab interface and let the figure and axes be created for us in the background\n", "(see [Two Interfaces for the Price of One](04.00-Introduction-To-Matplotlib.ipynb#Two-Interfaces-for-the-Price-of-One) for a discussion of these two interfaces):" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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OAh7ih3gjPb8aDMOwHQ7pxfVqBW43tNJ330iSIn2RX3kHpQ2tbIfy0Gw+0R/J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\nlOgJIcTG2USi1+v1WLlyJebNm4fU1FS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to create a single figure with multiple lines, we can simply call the ``plot`` function multiple times:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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9yvO2EedApsb4Y3DTsjGrjLtjAqSWY3Oce9XNARw4U83lprb+j2hA3EASO1vc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\niwa/UVIr6TMda1NTY/ydd23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RZcrrHV8LVzH0ckPmOwVnJgZzvrqR/DIHZOMs3AOtRvm6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\n5ehnqDl7HoBp4Z7sOtfAwePZ+Lhb5Xl0GFtPX6H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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.plot(x, np.cos(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's all there is to plotting simple functions in Matplotlib!\n", "We'll now dive into some more details about how to control the appearance of the axes and lines." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adjusting the Plot: Line Colors and Styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first adjustment you might wish to make to a plot is to control the line colors and styles.\n", "The ``plt.plot()`` function takes additional arguments that can be used to specify these.\n", "To adjust the color, you can use the ``color`` keyword, which accepts a string argument representing virtually any imaginable color.\n", "The color can be specified in a variety of ways:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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3ZYNUfQwfBKFNHF6UjYlR+g0/6qSjoUVHfx4miZ/JI8WhuV/Ff8WA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Fmblmp56i/A/5SjX7BjAa0jW9O1SRU6L/63gVdD0Dq34tDZs2cxm81ER0dX3kCjgf69IOWIczdl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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x - 0), color='blue') # specify color by name\n", "plt.plot(x, np.sin(x - 1), color='g') # short color code (rgbcmyk)\n", "plt.plot(x, np.sin(x - 2), color='0.75') # Grayscale between 0 and 1\n", "plt.plot(x, np.sin(x - 3), color='#FFDD44') # Hex code (RRGGBB from 00 to FF)\n", "plt.plot(x, np.sin(x - 4), color=(1.0,0.2,0.3)) # RGB tuple, values 0 to 1\n", "plt.plot(x, np.sin(x - 5), color='chartreuse'); # all HTML color names supported" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If no color is specified, Matplotlib will automatically cycle through a set of default colors for multiple lines.\n", "\n", "Similarly, the line style can be adjusted using the ``linestyle`` keyword:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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NBgqnTCfalYwrN5/CG28ju3TiUCXncKOqKu0n+qjb7ubQbg+BwRCRcRYmzM+iYFISUXHi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, x + 0, linestyle='solid')\n", "plt.plot(x, x + 1, linestyle='dashed')\n", "plt.plot(x, x + 2, linestyle='dashdot')\n", "plt.plot(x, x + 3, linestyle='dotted');\n", "\n", "# For short, you can use the following codes:\n", "plt.plot(x, x + 4, linestyle='-') # solid\n", "plt.plot(x, x + 5, linestyle='--') # dashed\n", "plt.plot(x, x + 6, linestyle='-.') # dashdot\n", "plt.plot(x, x + 7, linestyle=':'); # dotted" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you would like to be extremely terse, these ``linestyle`` and ``color`` codes can be combined into a single non-keyword argument to the ``plt.plot()`` function:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, x + 0, '-g') # solid green\n", "plt.plot(x, x + 1, '--c') # dashed cyan\n", "plt.plot(x, x + 2, '-.k') # dashdot black\n", "plt.plot(x, x + 3, ':r'); # dotted red" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These single-character color codes reflect the standard abbreviations in the RGB (Red/Green/Blue) and CMYK (Cyan/Magenta/Yellow/blacK) color systems, commonly used for digital color graphics.\n", "\n", "There are many other keyword arguments that can be used to fine-tune the appearance of the plot; for more details, I'd suggest viewing the docstring of the ``plt.plot()`` function using IPython's help tools (See [Help and Documentation in IPython](01.01-Help-And-Documentation.ipynb))." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adjusting the Plot: Axes Limits\n", "\n", "Matplotlib does a decent job of choosing default axes limits for your plot, but sometimes it's nice to have finer control.\n", "The most basic way to adjust axis limits is to use the ``plt.xlim()`` and ``plt.ylim()`` methods:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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klDfcHUTYaYFTQlOhE6MYHuyOIA+xRd8xYEoMw2BnTgWGSFwR4evMdhyrZisU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\nKnRCCOEIKnRCCOGI/w9nMcjJRl9R6AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "\n", "plt.xlim(-1, 11)\n", "plt.ylim(-1.5, 1.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If for some reason you'd like either axis to be displayed in reverse, you can simply reverse the order of the arguments:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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SAxo6VciYHGbS7dh0uQe4OeDeWD/kSGvRq6ELq3dS196DAyUNSJ0QYpSFBAi3\npE/68cLqZbqwejefnqpGkLuDyS6k3mDT5Q70vSmb5b00P/VdbP/x2sRSOiVDbuGBkf7wcbHHJ6eq\nWEexaFcaunCqsgVLJ4dCYOQ7Un/J5st9xnAfhHg6IPMUXVi9HZVGix1napEY44dgD7ojlfyaSMhH\n+sRQ/FDWhKpmBes4Fmvb6WqIBHykJph+tJlB5a7T6bB27VqkpqYiIyMD1dU3F+PWrVsxb948ZGRk\nICMjA5WVlUYJawoCPg/LJg/DmapWFNfRwr+3su/CdbQoerFsimnPERLrtnRSKIR8Hj6lA6Vbkqs0\nyC2sw/yxAfAy4tS+t2NQuR84cAC9vb3IysrC6tWr8c4779z0eHFxMdavX4/MzExkZmYiIiLCKGFN\nZXFCCBzsBPjkZBXrKBbp01NVCPd2MvqsdYRbfF3FmDsmANkFtbSc5S3sPlsHuUqDDDMdJBlU7lKp\nFNOnTwcAjBs3DsXFxTc9fvHiRWzevBlLlizBBx98MPSUJubmaIdF8UHYc+4aWuQq1nEsSnFdBwpr\n2vHY5DCjz1pHuOfxqWHoUmmw+2wd6ygWRa/XI/NUFUYHuWJciLtZtik05C/J5XI4Ozv3fy0QCKDR\naCAU9r3cvHnzkJ6eDmdnZ7zwwgs4fPgwZs+efcvXKikpMSSC0U331+EzjQ4bvpEidYxxFqgdDKVS\naTH74uc2nGyCvZCHsS4Ks+Sz1P3AgjXuCwe9HlGeInz4QxniXRVGWw/UGvfFz52/3oPLDXK8NNUb\npaWlZtmmQeXu7OwMheKniyY6na6/2PV6PZYvXw4Xl747GGfOnIlLly7dttxjY2MNiWB0sQDuuajE\n/go5XkuaDDszL0BRUlJiMfvihlZFL45sr8Ki+GBMiBttlm1a4n5gxVr3xVPdLvh9znm0i3wx1Uin\n8qx1X9zwXkEB3B3t8PSDCXAQDW0osVQqHdDzDGqw+Ph4HD16FABQVFSE6Ojo/sfkcjnmz58PhUIB\nvV6PvLw8jB5tnmIYqsenDkN9hxLfXWxgHcUifHa6Gkq1DiunhbOOQqzII3GB8HC0o2GRP6puUeC7\nSw14bFLYkIt9MAw6cr///vtx4sQJpKWlQa/X4+2338bevXvR3d2N1NRUvPzyy1i2bBlEIhGmTJmC\nmTNnGju3ScyO8UWIpwO2nryKeWNt+y5MpVqLT05VY9YIHwz3o3lkyMCJ7QRImxiKD45UoKal2+YX\ndPn4RBU5FLoDAAARuklEQVSEfJ7ZR5sZVO58Ph9vvvnmTd+LjIzs//PChQuxcOHCoSVjQMDnYfmU\nYXjr6xJckHVgTLAb60jMfHnuGprlKjxxj2WPdCKWafmUYdhyrBIfnbiKPz0yinUcZjq61dhZUItH\n4oLg6yo267Zt/iamX1o8IQTO9kJsPma5Y/NNTa/X47/HriLG3wXTorxYxyFWyN9NjEfigpCVX4v2\n7l7WcZjZfqYG3b1aPDHd/Kc2qdx/wVVsh6WTQvH1+WuobbXN2SKPXmlGWUMXnpgeYbTRDsT2PDkj\nHD1qLT6z0UW0ezU6bD15FfdEeSM2wNXs26dyv4UV08Ih4PPw3+NXWUdhYsuxSvi62OORuEDWUYgV\ni/F3xYxoH3x8ogoqjZZ1HLP7+sI1NHSqsIrBUTtA5X5L/m5iLBgXhB35NWhV2NZHytLrnTh2pRnL\npw6DSEhvDzI0T02PQLNchT1nr7GOYlZ6vR5bjl3FcF9nzIr2YZKBfntv46kZEVCqdTY3odjmo5Vw\nsBPQ7I/EKKZFeWFkgCs2H6u0qUW0T5S34OK1Tqy6J5zZqU0q99uI9nNBYowvPjlVBaXaNj5S1rZ2\nY0/RNSyZGAp3RxHrOIQDeDwenpoRgfJGOQ6X2c56xRsOXYG/qxiPxgcxy0DlfgdPz4hAq6LXZpYP\n+8+RCgh+/GUkxFjmjQ1AsIcDNhwqh17P/aP3/KpW5F1txVMzImAvZLewDZX7HUwM90R8qDs2Hank\n/EpN9R09yCmQISUhGP5u5h2PS7jNTsDHc7OiUFTbjmNXmlnHMbl/HSqHl5MISyayPbVJ5X4HPB4P\nv7l3OOrae5AjlbGOY1Kbj1ZCq9fjmZmRd38yIYOUJAlCgJsYGw5d4fTR+3lZO45cbsKq6eFmnWrg\nVqjc72JmtA/iQtzx78PlnD16b+pS4fMzNXh0fBBCPG37VnFiGvZCAZ6ZGYn8qjacrmxlHcdk/nWo\nHK5iockXvx4IKve74PF4eOnHo/ddhdw8ev/v8atQaXR4bhYdtRPTSZ0QAl8Xe2w4dIV1FJMovd6J\n7y41YMW0cLiI7VjHoXIfiFkjfBAX7IZ/HS6HWsuto/cWuQqZp6owb0wAInyc7/p8QgwlthPgqRkR\nOFnRgvwq7h29//PAFTiJBFgxbRjrKACo3AeEx+PhxfuGQ9bGvaP3fx+uQI9ai5fui777kwkZoqWT\nwuDjYo//920Zp869n6ttx77i63hieoTFDCOmch+g2SN8ERfijvcOXOHMuHdZWze2na5GsiQYUb50\n1E5Mz0EkwG8So3CmqhU/XG5iHcdo/t/+Mng42jGZIOx2qNwHiMfj4dUHY1DfocSnp6pYxzGKfx64\nAvCAF+monZhR6oRQhHo64m/flnHirtWT5c04Xt6M52dHWcS59huo3AdhSqQXZo3wwb8PV6CjW806\nzpBcaehCbqEMyyaHIcjdgXUcYkNEQj5+e380Suo78dWFetZxhkSv12P9/jIEuInxmAWMkPk5KvdB\n+v2cGHQq1fjPkQrWUYbk79+VwVEkxHOzo1hHITbokbhAxPi74P++K7PqIcb7LzbgXG07XrpvOMR2\nbMe1/xKV+yCNDHTFo+OC8PGJq7jW3sM6jkFOV7Zg/8UGPDUjAp5OlnHxh9gWPp+HV+bGoLqlG5+c\nrGIdxyAqjRbr9pUgytcZSfHBrOP8CpW7AX77QN856re/KWGcZPC0Oj3+vPcSAt3EeHI6zSFD2Jk9\nwhezR/jg/YNX0NSlYh1n0D46XoXqlm68MX8khALLq1LLS2QFgj0c8eysSHx1vh6nKlpYxxmUz8/U\noKS+E6/NG8n89mhCXp8/Ej1qLf6+v4x1lEFp7FTiX4eu4L5YX8xkNF/73VC5G+iZmZEI9nDAn768\nCI2V3NjU3t2L//uuDJPCPfHQGH/WcQhBpI8zVkwbhp3SWlyQdbCOM2Drvy1Dr1aH1+eNZB3ltqjc\nDSS2E+CN+SNR1tCFzNPWsaDH/313GR09avzpkVG0NiqxGP9z73B4OYmw9stiaK1gaKS0uhW5hTKs\nvCccw7ydWMe5LSr3IXhgpB9mRPvg3e8uo77Dsi+uFlS1YlteNZZNGcZksV5CbsdVbIfX5sXibE07\ntln4gZJKo8UruRcQ6CbG/yQOZx3njqjch4DH4+EvC0ZBrdPh9d3FFns7tVKtxSu55xHo5oA1c0aw\njkPIrywcF4QZ0T7427elFj0K7d+HylHeKMdfF42Bs72QdZw7onIfojAvJ6yZE4ODpY3YU2SZiwD/\n61A5KpoUWLdoDJws/A1JbBOPx8NfF46GTg+8/oVlHiiV1Hdi4w8VeHR8EGaP8GUd566o3I3g8anD\nEB/qjj/tvYjGLiXrODcpruvApiMVSIoPxgwLvapPCACEeDrid3NG4FBpI7ILLGuCPrVWh1dyz8PN\nwQ5vzLfci6g/R+VuBAI+D39LHoueXi1W7zxnMfNldPdq8JsdZ+HlLMIb82NZxyHkrlZMHYapkV74\n096LuNqsYB2n37vfX8Z5WQfeWjjaam78o3I3kihfF6x9eCSOXWnG5mOVrOMAAP64p+8X5B+p4yxm\nGlJC7oTP5+HdxeNgJ+DjxR1nLWL9hONXmrHpSAWWTAzB3DEBrOMMGJW7EaVPDMVDY/zx9/1lOFvT\nxjTLnqI6ZEtleH5WFKZGejPNQshg+LuJ8c6iMTgv68C6b0qZZmmWq/DbnUWI9HHG2vmjmGYZLCp3\nI+LxeFi3aCz83cR4dlshGjvZnH8vruvAK7nnkRDmgZfus+zhWoTcytwxAXh86jB8dOIqchktTq/S\naPFMphSdSjXeTxtvdXd0U7kbmZuDHT7IkKCjR42nMqVmX9ijsUuJJz8tgKejCBsfi7fIOS8IGYjX\n5sViSoQX/nf3BVxuNu/cM3q9Hm98UYyC6jb8PSUOIwOt794Q+s03gVGBbvhHahyKatvxu+xzZrvr\nrrtXg6czpWjvVmPzsgT4uojNsl1CTMFOwMe/l8bDx9kefzp0HTUt3Wbb9uajldhZIMNvEqMwf2yg\n2bZrTFTuJvLg6AD879wYfHW+3izjdpVqLZ7OlOJcbTv+kRqH0UFuJt0eIebg6STC1hUToNHp8dh/\n88wy1Hh7Xg3W7SvFvLEBVr22MJW7CT09MxLPzYrE52dq8Oe9l0w2RFKp1uKF7YU4dqUZf0uOw4Oj\nreeKPiF3M9zPBX+51x/NchWWfpiH6x2mK/gcqQyvfXEBiTG++MficeDzrXcOJip3E1szZwRWTgvH\n1pNVWJ19zuhDuzp61Fj+0RkcKGnEXxaORrLE8hYNIGSoRviI8dHjE1DfoUTyppOoMvIYeL1ejw+O\nVOB32ecwNdILG5fGQyS07nq07vRWgMfj4Y35sfjdA9HYfbYOy/57xmgLE1Q0yZGy6SQKa9rwz7Rx\nyLCwNRwJMabJEV7Y/uQkKFQaPLrxBI5ebjLK6yrVWrz+RTHW7SvF/LEB+OjxCRa3ZJ4hqNzNgMfj\n4YXE4fh7ShwKa9rw0PvHcKK82eDX0+v1yJXK8PCG42jqUmHriolYMC7IiIkJsUxjg92x67lp8HMV\nY/nHZ/Dud2VQaQwfkVbRJMe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "\n", "plt.xlim(10, 0)\n", "plt.ylim(1.2, -1.2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A useful related method is ``plt.axis()`` (note here the potential confusion between *axes* with an *e*, and *axis* with an *i*).\n", "The ``plt.axis()`` method allows you to set the ``x`` and ``y`` limits with a single call, by passing a list which specifies ``[xmin, xmax, ymin, ymax]``:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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klDfcHUTYaYFTQlOhE6MYHuyOIA+xRd8xYEoMw2BnTgWGSFwR4evMdhyrZisU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\nKnRCCOEIKnRCCOGI/w9nMcjJRl9R6AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis([-1, 11, -1.5, 1.5]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``plt.axis()`` method goes even beyond this, allowing you to do things like automatically tighten the bounds around the current plot:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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OAh7ih3gjPb8aDMOwHQ7pxfVqBW43tNJ330iSIn2RX3kHpQ2tbIfy0Gw+0R/J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\nlOgJIcTG2USi1+v1WLlyJebNm4fU1FS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis('tight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It allows even higher-level specifications, such as ensuring an equal aspect ratio so that on your screen, one unit in ``x`` is equal to one unit in ``y``:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information on axis limits and the other capabilities of the ``plt.axis`` method, refer to the ``plt.axis`` docstring." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Labeling Plots\n", "\n", "As the last piece of this section, we'll briefly look at the labeling of plots: titles, axis labels, and simple legends.\n", "\n", "Titles and axis labels are the simplest such labels—there are methods that can be used to quickly set them:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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iAjzs5h/E0V0u07P7ZAGDpUnplpw0agbFBLE5I9cu1lqS5NAA645ewtPFifva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\n0Tqp+S79itKhNEiloZrPdp7m7rb+dJM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x))\n", "plt.title(\"A Sine Curve\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"sin(x)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The position, size, and style of these labels can be adjusted using optional arguments to the function.\n", "For more information, see the Matplotlib documentation and the docstrings of each of these functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When multiple lines are being shown within a single axes, it can be useful to create a plot legend that labels each line type.\n", "Again, Matplotlib has a built-in way of quickly creating such a legend.\n", "It is done via the (you guessed it) ``plt.legend()`` method.\n", "Though there are several valid ways of using this, I find it easiest to specify the label of each line using the ``label`` keyword of the plot function:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, np.sin(x), '-g', label='sin(x)')\n", "plt.plot(x, np.cos(x), ':b', label='cos(x)')\n", "plt.axis('equal')\n", "\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the ``plt.legend()`` function keeps track of the line style and color, and matches these with the correct label.\n", "More information on specifying and formatting plot legends can be found in the ``plt.legend`` docstring; additionally, we will cover some more advanced legend options in [Customizing Plot Legends](04.06-Customizing-Legends.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aside: Matplotlib Gotchas\n", "\n", "While most ``plt`` functions translate directly to ``ax`` methods (such as ``plt.plot()`` → ``ax.plot()``, ``plt.legend()`` → ``ax.legend()``, etc.), this is not the case for all commands.\n", "In particular, functions to set limits, labels, and titles are slightly modified.\n", "For transitioning between MATLAB-style functions and object-oriented methods, make the following changes:\n", "\n", "- ``plt.xlabel()`` → ``ax.set_xlabel()``\n", "- ``plt.ylabel()`` → ``ax.set_ylabel()``\n", "- ``plt.xlim()`` → ``ax.set_xlim()``\n", "- ``plt.ylim()`` → ``ax.set_ylim()``\n", "- ``plt.title()`` → ``ax.set_title()``\n", "\n", "In the object-oriented interface to plotting, rather than calling these functions individually, it is often more convenient to use the ``ax.set()`` method to set all these properties at once:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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UqcKuXbsICAjAy8urrOu6q3fWJOBkZ8M78oFWXLsG1QgJrMVXf6Rw7ILMfbAk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\nO52RS7//7mbnsYvM6tuUl9t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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.axes()\n", "ax.plot(x, np.sin(x))\n", "ax.set(xlim=(0, 10), ylim=(-2, 2),\n", " xlabel='x', ylabel='sin(x)',\n", " title='A Simple Plot');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Visualization with Matplotlib](04.00-Introduction-To-Matplotlib.ipynb) | [Contents](Index.ipynb) | [Simple Scatter Plots](04.02-Simple-Scatter-Plots.ipynb) >" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }