{
 "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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\nJgeMshD/dgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108991850>"
       ]
      }
     ],
     "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.sourceforge.net/mpl_examples/pylab_examples/integral_demo.py"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#!/usr/bin/env python\n",
      "\n",
      "# implement the example graphs/integral from pyx\n",
      "from pylab import *\n",
      "from matplotlib.patches import Polygon\n",
      "\n",
      "def func(x):\n",
      "    return (x-3)*(x-5)*(x-7)+85\n",
      "\n",
      "ax = subplot(111)\n",
      "\n",
      "a, b = 2, 9 # integral area\n",
      "x = arange(0, 10, 0.01)\n",
      "y = func(x)\n",
      "plot(x, y, linewidth=1)\n",
      "\n",
      "# make the shaded region\n",
      "ix = arange(a, b, 0.01)\n",
      "iy = func(ix)\n",
      "verts = [(a,0)] + list(zip(ix,iy)) + [(b,0)]\n",
      "poly = Polygon(verts, facecolor='0.8', edgecolor='k')\n",
      "ax.add_patch(poly)\n",
      "\n",
      "text(0.5 * (a + b), 30,\n",
      "     r\"$\\int_a^b f(x)\\mathrm{d}x$\", horizontalalignment='center',\n",
      "     fontsize=20)\n",
      "\n",
      "axis([0,10, 0, 180])\n",
      "figtext(0.9, 0.05, 'x')\n",
      "figtext(0.1, 0.9, 'y')\n",
      "ax.set_xticks((a,b))\n",
      "ax.set_xticklabels(('a','b'))\n",
      "ax.set_yticks([])\n",
      "show()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x106a476d0>"
       ]
      }
     ],
     "prompt_number": 5
    }
   ],
   "metadata": {}
  }
 ]
}