{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Plotting with Matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IPython works with the [Matplotlib](http://matplotlib.org/) plotting library, which integrates Matplotlib with IPython's display system and event loop handling." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "matplotlib mode" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make plots using Matplotlib, you must first enable IPython's matplotlib mode.\n", "\n", "To do this, run the `%matplotlib` magic command to enable plotting in the current Notebook.\n", "\n", "This magic takes an optional argument that specifies which Matplotlib backend should be used. Most of the time, in the Notebook, you will want to use the `inline` backend, which will embed plots inside the Notebook:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also use Matplotlib GUI backends in the Notebook, such as the Qt backend (`%matplotlib qt`). This will use Matplotlib's interactive Qt UI in a floating window to the side of your browser. Of course, this only works if your browser is running on the same system as the Notebook Server. You can always call the `display` function to paste figures into the Notebook document." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Making a simple plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With matplotlib enabled, plotting should just work." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 3*np.pi, 500)\n", "plt.plot(x, np.sin(x**2))\n", "plt.title('A simple chirp');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VhQdzIQ3v3TB0jbyziBeNPpupG1lNL0aRnvQyXQOUNon2ZtNaPkBQKRjy1vP0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\nK/urQ7o2u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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "These images can be resized by dragging the handle in the lower right corner. Double clicking will return them to their original size." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thing to be aware of is that by default, the `Figure` object is cleared at the end of each cell, so you will need to issue all plotting commands for a single figure in a single cell." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Loading Matplotlib demos with %load" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IPython's `%load` magic can be used to load any Matplotlib demo by its URL:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load http://matplotlib.org/mpl_examples/showcase/integral_demo.py" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "Plot demonstrating the integral as the area under a curve.\n", "\n", "Although this is a simple example, it demonstrates some important tweaks:\n", "\n", " * A simple line plot with custom color and line width.\n", " * A shaded region created using a Polygon patch.\n", " * A text label with mathtext rendering.\n", " * figtext calls to label the x- and y-axes.\n", " * Use of axis spines to hide the top and right spines.\n", " * Custom tick placement and labels.\n", "\"\"\"\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Polygon\n", "\n", "\n", "def func(x):\n", " return (x - 3) * (x - 5) * (x - 7) + 85\n", "\n", "\n", "a, b = 2, 9 # integral limits\n", "x = np.linspace(0, 10)\n", "y = func(x)\n", "\n", "fig, ax = plt.subplots()\n", "plt.plot(x, y, 'r', linewidth=2)\n", "plt.ylim(ymin=0)\n", "\n", "# Make the shaded region\n", "ix = np.linspace(a, b)\n", "iy = func(ix)\n", "verts = [(a, 0)] + list(zip(ix, iy)) + [(b, 0)]\n", "poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')\n", "ax.add_patch(poly)\n", "\n", "plt.text(0.5 * (a + b), 30, r\"$\\int_a^b f(x)\\mathrm{d}x$\",\n", " horizontalalignment='center', fontsize=20)\n", "\n", "plt.figtext(0.9, 0.05, '$x$')\n", "plt.figtext(0.1, 0.9, '$y$')\n", "\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "ax.xaxis.set_ticks_position('bottom')\n", "\n", "ax.set_xticks((a, b))\n", "ax.set_xticklabels(('$a$', '$b$'))\n", "ax.set_yticks([])\n", "\n", "plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 401, "width": 596 } }, "output_type": "display_data", "png": 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GqjSNtilToulXv8qMe/be2yf5UXeUVAAAADBGladPj5bvfS8z69t991g8a1ZE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\n9ttvwdcKJ++//74k6c4777Q5CQAAOBlKKhSNz6fEfv1kZGQER2ZSktK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