examples/notebooks/Part 1 - Running Code.ipynb

{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Running Code in the IPython Notebook"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "First and foremost, the IPython Notebook is an interactive environment for writing and running Python code."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Code cells allow you to enter and run Python code"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Run a code cell using `Shift-Enter` or pressing the \"Play\" button in the toolbar above:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a = 10"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print(a)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "10\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Managing the IPython Kernel"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Code is run in a separate process called the IPython Kernel.  The Kernel can be interrupted or restarted.  Try running the following cell and then hit the \"Stop\" button in the toolbar above."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import time\n",
      "time.sleep(10)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "KeyboardInterrupt",
       "evalue": "",
       "output_type": "pyerr",
       "traceback": [
        "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
        "\u001b[0;32m<ipython-input-16-d7b436e260d5>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtime\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mtime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msleep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
        "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "If the Kernel dies you will be prompted to restart it. Here we call the low-level system libc.time routine with the wrong argument via\n",
      "ctypes to segfault the Python interpreter:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import sys\n",
      "from ctypes import CDLL\n",
      "# This will crash a Linux or Mac system; equivalent calls can be made on Windows\n",
      "dll = 'dylib' if sys.platform == 'darwin' else 'so.6'\n",
      "libc = CDLL(\"libc.%s\" % dll) \n",
      "libc.time(-1)  # BOOM!!"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": "*"
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "All of the goodness of IPython works"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here are two system aliases:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pwd"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "u'/Users/bgranger/Documents/Computation/IPython/code/ipython/examples/notebooks'"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ls"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "01_notebook_introduction.ipynb        Octave Magic.ipynb\r\n",
        "Animations Using clear_output.ipynb   PyLab and Matplotlib.ipynb\r\n",
        "Basic Output.ipynb                    R Magics.ipynb\r\n",
        "Custom Display Logic.ipynb            Running Code.ipynb\r\n",
        "Cython Magics.ipynb                   Script Magics.ipynb\r\n",
        "Data Publication API.ipynb            SymPy Examples.ipynb\r\n",
        "Display System.ipynb                  Trapezoid Rule.ipynb\r\n",
        "JS Progress Bar.ipynb                 Typesetting Math Using MathJax.ipynb\r\n",
        "Local Files.ipynb                     animation.m4v\r\n",
        "Markdown Cells.ipynb                  python-logo.svg\r\n",
        "Notebook Tour.ipynb\r\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Any command line program can be run using `!` with string interpolation from Python variables:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "message = 'The IPython notebook is great!'\n",
      "# note: the echo command does not run on Windows, it's a unix command.\n",
      "!echo $message"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Tab completion works:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy\n",
      "numpy.random."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Tab completion after `(` brings up a tooltip with the docstring:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "numpy.random.rand("
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Adding `?` opens the docstring in the pager below:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "magic?"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Exceptions are formatted nicely:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = 1\n",
      "y = 4\n",
      "z = y/(1-x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "ZeroDivisionError",
       "evalue": "integer division or modulo by zero",
       "output_type": "pyerr",
       "traceback": [
        "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mZeroDivisionError\u001b[0m                         Traceback (most recent call last)",
        "\u001b[0;32m<ipython-input-15-dc39888fd1d2>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m4\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
        "\u001b[0;31mZeroDivisionError\u001b[0m: integer division or modulo by zero"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Working with external code"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "There are a number of ways of getting external code into code cells."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Pasting code with `>>>` prompts works as expected:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      ">>> the_world_is_flat = 1\n",
      ">>> if the_world_is_flat:\n",
      "...     print(\"Be careful not to fall off!\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Be careful not to fall off!\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The `%load` magic lets you load code from URLs or local files:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%load?"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%load http://matplotlib.sourceforge.net/mpl_examples/pylab_examples/integral_demo.py"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "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": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAGTCAYAAAAMQZfBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAQvD/AKh2fy0Nfo/2AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x110035290>"
       ]
      }
     ],
     "prompt_number": 3
    }
   ],
   "metadata": {}
  }
 ]
}