{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rich Output"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In Python, objects can declare their textual representation using the `__repr__` method.  IPython expands on this idea and allows objects to declare other, rich representations including:\n",
    "\n",
    "* HTML\n",
    "* JSON\n",
    "* PNG\n",
    "* JPEG\n",
    "* SVG\n",
    "* LaTeX\n",
    "\n",
    "A single object can declare some or all of these representations; all are handled by IPython's *display system*. This Notebook shows how you can use this display system to incorporate a broad range of content into your Notebooks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic display imports"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `display` function is a general purpose tool for displaying different representations of objects. Think of it as `print` for these rich representations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from IPython.display import display"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A few points:\n",
    "\n",
    "* Calling `display` on an object will send **all** possible representations to the Notebook.\n",
    "* These representations are stored in the Notebook document.\n",
    "* In general the Notebook will use the richest available representation.\n",
    "\n",
    "If you want to display a particular representation, there are specific functions for that:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from IPython.display import (\n",
    "    display_pretty, display_html, display_jpeg,\n",
    "    display_png, display_json, display_latex, display_svg\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Images"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To work with images (JPEG, PNG) use the `Image` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "i = Image(filename='../images/ipython_logo.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Returning an `Image` object from an expression will automatically display it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "dv0hFPwTnjBRDAaDwWAw9A3+hPgOHRPl25iK+FhsiuR4OARx0Lwf+J1REAwGg8Fg6AMEnvNklL78\n",
       "HMRRca/E5hVINNIVwI2B56z6/3ExLRI31pXNAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or you can pass an object with a rich representation to `display`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(i)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An image can also be displayed from raw data or a URL."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"http://python.org/images/python-logo.gif\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(url='http://python.org/images/python-logo.gif')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "SVG images are also supported out of the box."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
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       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import SVG\n",
    "SVG(filename='../images/python_logo.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Embedded vs non-embedded Images"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default, image data is embedded in the notebook document so that the images can be viewed offline. However it is also possible to tell the `Image` class to only store a *link* to the image. Let's see how this works using a webcam at Berkeley."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image\n",
    "img_url = 'http://www.lawrencehallofscience.org/static/scienceview/scienceview.berkeley.edu/html/view/view_assets/images/newview.jpg'\n",
    "\n",
    "# by default Image data are embedded\n",
    "Embed      = Image(img_url)\n",
    "\n",
    "# if kwarg `url` is given, the embedding is assumed to be false\n",
    "SoftLinked = Image(url=img_url)\n",
    "\n",
    "# In each case, embed can be specified explicitly with the `embed` kwarg\n",
    "# ForceEmbed = Image(url=img_url, embed=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is the embedded version. Note that this image was pulled from the webcam when this code cell was originally run and stored in the Notebook. Unless we rerun this cell, this is not todays image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "GMoZiAFKg7aliFMWRAwxgjIGe/8A3ml5YL/w857nHGfihIYqeRZINinBU5zmq0LZ4kJyRwB7Cr9h\n",
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       "6YrbGzvBz2NAIY7mRdoPehLFFIJ/CkISyiRu/POT3qq6OmNwqkMzBY4UHJ7cUaxkA/hTEGImHJ4A\n",
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       "kYKMjHPFGZG5LAHPvSaAxpWVSh5B5GTRRT7c5HJFKtAh8M2T6+SfzohNCSxAxngZ4FRQ7AkfyWDO\n",
       "q8nt35pb3CM+xAdvvnmqW9jIW4Tt90A8VdjuEc7ynA+uP1pSQDpcXEYUuobvnNIEm1/JHsMgngGp\n",
       "ivYTQF7pkUu4hdr47itVJptwo2qMgc8VrCaa2Cdk/Z5EYhgdw7YHFWolJZdmA2PVxjJ+asY9EcOR\n",
       "uz7/AKmodmUZAJVjgmpsRXnl8xi0mV5HpB/1qGnlTEyuNx7gjnFAWLMyyplj/Nn5oJGQcZyO4yMG\n",
       "gAhJ7iIHcPStEs58ry8gZ7/7UUMxZC+OTgc8HkVDyjJLLxjt9KAFhg5yGwB/LRyxGXDKrYIHNO6E\n",
       "gxEUZl2+o+wzk0GJGk5O3A9qSYAvmIFwwLJzlj9filpPuP3VB9j80+wsZ5ku0Yw31HtTUuJPvA/g\n",
       "BSaAswtIWwz8nHBHb/vFWUfaq7zliRn4qWBRlDK7Huo47VTedRIfL9PyatbELeYAZyuPnNJ8x3b1\n",
       "n0t2piCkxjjse1WIXhCA7Dn3JoZSJedW9POD7UMcwPG59tJIYcjR8qNxx8+1LD4y2/J/rQINpsjJ\n",
       "5PYUHmoBy2QKYdit4Y8Z70L5IGe1VRIsj+YdhU8gZUZHxQAzLY3N6R2qVIkBzjgVIwkjVVJBPIx+\n",
       "fzUSxwsAxAOB2oEKVXjG4E4xwPehabdwFIwfimhoVOzkbkJYHA7UhCwbmqGNLEjIPB+TTrd0B5oE\n",
       "Pk3lQ6HK9qtW1s11hQ21lOCDzUtpIoeYXRQBLuK9qLqGx+wQWNxkBLqEPj4bA3D+v9aUWBphcRju\n",
       "wrZWMifZd6lSd3enLoB6t5mWzx759hWGZI08vvker2zWdAYvlSHs2MYxmgl2bgyj73HIoVgKlumV\n",
       "+cHHHBrIZpp2JMnH1/0qq1YBhSrYNMWYJxk/T3pPYFeZw8gOGBHzzxRC4BGPTwOMe1FaArNJhtzA\n",
       "Dd8UayDPaqJ7HREMSSMAUbyp/JgkDvipdgKkyB6DnAz3qIpiODg8Yo7QGNNt5V85HIFYs5HKk/l8\n",
       "0UMyadpfS+SD2b4rIyFAwT9Cf9aKodjEUEja+4DvxT5RNGojhcEEZ+tJgHDvICsMNnjB4q+koVNr\n",
       "sAcfzdqzkJH/2Q==\n"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Embed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is today's image from same webcam at Berkeley, (refreshed every minutes, if you reload the notebook), visible only with an active internet connection, that should be different from the previous one. Notebooks saved with this kind of image will be smaller and always reflect the current version of the source, but the image won't display offline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"http://www.lawrencehallofscience.org/static/scienceview/scienceview.berkeley.edu/html/view/view_assets/images/newview.jpg\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SoftLinked"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course, if you re-run this Notebook, the two images will be the same again."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## HTML"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Python objects can declare HTML representations that will be displayed in the Notebook. If you have some HTML you want to display, simply use the `HTML` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "s = \"\"\"<table>\n",
    "<tr>\n",
    "<th>Header 1</th>\n",
    "<th>Header 2</th>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>row 1, cell 1</td>\n",
    "<td>row 1, cell 2</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>row 2, cell 1</td>\n",
    "<td>row 2, cell 2</td>\n",
    "</tr>\n",
    "</table>\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "h = HTML(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tr>\n",
       "<th>Header 1</th>\n",
       "<th>Header 2</th>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>row 1, cell 1</td>\n",
       "<td>row 1, cell 2</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>row 2, cell 1</td>\n",
       "<td>row 2, cell 2</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also use the `%%html` cell magic to accomplish the same thing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tr>\n",
       "<th>Header 1</th>\n",
       "<th>Header 2</th>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>row 1, cell 1</td>\n",
       "<td>row 1, cell 2</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>row 2, cell 1</td>\n",
       "<td>row 2, cell 2</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<table>\n",
    "<tr>\n",
    "<th>Header 1</th>\n",
    "<th>Header 2</th>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>row 1, cell 1</td>\n",
    "<td>row 1, cell 2</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>row 2, cell 1</td>\n",
    "<td>row 2, cell 2</td>\n",
    "</tr>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## JavaScript"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Notebook also enables objects to declare a JavaScript representation. At first, this may seem odd as  output is inherently visual and JavaScript is a programming language. However, this opens the door for rich output that leverages the full power of JavaScript and associated libraries such as [d3.js](http://d3js.org) for output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from IPython.display import Javascript"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pass a string of JavaScript source code to the `JavaScript` object and then display it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "js = Javascript('alert(\"hi\")');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "alert(\"hi\")"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(js)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The same thing can be accomplished using the `%%javascript` cell magic:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "\n",
       "alert(\"hi\");"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%javascript\n",
    "\n",
    "alert(\"hi\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is a more complicated example that loads `d3.js` from a CDN, uses the `%%html` magic to load CSS styles onto the page and then runs ones of the `d3.js` examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "$.getScript('//cdnjs.cloudflare.com/ajax/libs/d3/3.2.2/d3.v3.min.js')"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Javascript(\n",
    "    \"\"\"$.getScript('//cdnjs.cloudflare.com/ajax/libs/d3/3.2.2/d3.v3.min.js')\"\"\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style type=\"text/css\">\n",
       "\n",
       "circle {\n",
       "  fill: rgb(31, 119, 180);\n",
       "  fill-opacity: .25;\n",
       "  stroke: rgb(31, 119, 180);\n",
       "  stroke-width: 1px;\n",
       "}\n",
       "\n",
       ".leaf circle {\n",
       "  fill: #ff7f0e;\n",
       "  fill-opacity: 1;\n",
       "}\n",
       "\n",
       "text {\n",
       "  font: 10px sans-serif;\n",
       "}\n",
       "\n",
       "</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<style type=\"text/css\">\n",
    "\n",
    "circle {\n",
    "  fill: rgb(31, 119, 180);\n",
    "  fill-opacity: .25;\n",
    "  stroke: rgb(31, 119, 180);\n",
    "  stroke-width: 1px;\n",
    "}\n",
    "\n",
    ".leaf circle {\n",
    "  fill: #ff7f0e;\n",
    "  fill-opacity: 1;\n",
    "}\n",
    "\n",
    "text {\n",
    "  font: 10px sans-serif;\n",
    "}\n",
    "\n",
    "</style>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "\n",
       "// element is the jQuery element we will append to\n",
       "var e = element.get(0);\n",
       "    \n",
       "var diameter = 600,\n",
       "    format = d3.format(\",d\");\n",
       "\n",
       "var pack = d3.layout.pack()\n",
       "    .size([diameter - 4, diameter - 4])\n",
       "    .value(function(d) { return d.size; });\n",
       "\n",
       "var svg = d3.select(e).append(\"svg\")\n",
       "    .attr(\"width\", diameter)\n",
       "    .attr(\"height\", diameter)\n",
       "  .append(\"g\")\n",
       "    .attr(\"transform\", \"translate(2,2)\");\n",
       "\n",
       "d3.json(\"data/flare.json\", function(error, root) {\n",
       "  var node = svg.datum(root).selectAll(\".node\")\n",
       "      .data(pack.nodes)\n",
       "    .enter().append(\"g\")\n",
       "      .attr(\"class\", function(d) { return d.children ? \"node\" : \"leaf node\"; })\n",
       "      .attr(\"transform\", function(d) { return \"translate(\" + d.x + \",\" + d.y + \")\"; });\n",
       "\n",
       "  node.append(\"title\")\n",
       "      .text(function(d) { return d.name + (d.children ? \"\" : \": \" + format(d.size)); });\n",
       "\n",
       "  node.append(\"circle\")\n",
       "      .attr(\"r\", function(d) { return d.r; });\n",
       "\n",
       "  node.filter(function(d) { return !d.children; }).append(\"text\")\n",
       "      .attr(\"dy\", \".3em\")\n",
       "      .style(\"text-anchor\", \"middle\")\n",
       "      .text(function(d) { return d.name.substring(0, d.r / 3); });\n",
       "});\n",
       "\n",
       "d3.select(self.frameElement).style(\"height\", diameter + \"px\");"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%javascript\n",
    "\n",
    "// element is the jQuery element we will append to\n",
    "var e = element.get(0);\n",
    "    \n",
    "var diameter = 600,\n",
    "    format = d3.format(\",d\");\n",
    "\n",
    "var pack = d3.layout.pack()\n",
    "    .size([diameter - 4, diameter - 4])\n",
    "    .value(function(d) { return d.size; });\n",
    "\n",
    "var svg = d3.select(e).append(\"svg\")\n",
    "    .attr(\"width\", diameter)\n",
    "    .attr(\"height\", diameter)\n",
    "  .append(\"g\")\n",
    "    .attr(\"transform\", \"translate(2,2)\");\n",
    "\n",
    "d3.json(\"data/flare.json\", function(error, root) {\n",
    "  var node = svg.datum(root).selectAll(\".node\")\n",
    "      .data(pack.nodes)\n",
    "    .enter().append(\"g\")\n",
    "      .attr(\"class\", function(d) { return d.children ? \"node\" : \"leaf node\"; })\n",
    "      .attr(\"transform\", function(d) { return \"translate(\" + d.x + \",\" + d.y + \")\"; });\n",
    "\n",
    "  node.append(\"title\")\n",
    "      .text(function(d) { return d.name + (d.children ? \"\" : \": \" + format(d.size)); });\n",
    "\n",
    "  node.append(\"circle\")\n",
    "      .attr(\"r\", function(d) { return d.r; });\n",
    "\n",
    "  node.filter(function(d) { return !d.children; }).append(\"text\")\n",
    "      .attr(\"dy\", \".3em\")\n",
    "      .style(\"text-anchor\", \"middle\")\n",
    "      .text(function(d) { return d.name.substring(0, d.r / 3); });\n",
    "});\n",
    "\n",
    "d3.select(self.frameElement).style(\"height\", diameter + \"px\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LaTeX"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The IPython display system also has builtin support for the display of mathematical expressions typeset in LaTeX, which is rendered in the browser using [MathJax](http://mathjax.org)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can pass raw LaTeX test as a string to the `Math` object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Math\n",
    "Math(r'F(k) = \\int_{-\\infty}^{\\infty} f(x) e^{2\\pi i k} dx')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the `Latex` class, you have to include the delimiters yourself.  This allows you to use other LaTeX modes such as `eqnarray`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{eqnarray}\n",
       "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
       "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
       "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
       "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
       "\\end{eqnarray}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Latex\n",
    "Latex(r\"\"\"\\begin{eqnarray}\n",
    "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
    "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
    "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
    "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n",
    "\\end{eqnarray}\"\"\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or you can enter LaTeX directly with the `%%latex` cell magic:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
       "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
       "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
       "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
       "\\end{align}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%latex\n",
    "\\begin{align}\n",
    "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n",
    "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
    "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
    "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Audio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IPython makes it easy to work with sounds interactively. The `Audio` display class allows you to create an audio control that is embedded in the Notebook. The interface is analogous to the interface of the `Image` display class. All audio formats supported by the browser can be used. Note that no single format is presently supported in all browsers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
       "                    <source src=\"http://www.nch.com.au/acm/8k16bitpcm.wav\" type=\"audio/x-wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Audio\n",
    "Audio(url=\"http://www.nch.com.au/acm/8k16bitpcm.wav\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A NumPy array can be auralized automatically. The `Audio` class normalizes and encodes the data and embeds the resulting audio in the Notebook.\n",
    "\n",
    "For instance, when two sine waves with almost the same frequency are superimposed a phenomena known as [beats](https://en.wikipedia.org/wiki/Beat_%28acoustics%29) occur. This can be auralised as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio controls=\"controls\" >\n",
       "                    <source src=\"data:audio/wav;base64,[encoded data, 64060 characters]\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "max_time = 3\n",
    "f1 = 220.0\n",
    "f2 = 224.0\n",
    "rate = 8000.0\n",
    "L = 3\n",
    "times = np.linspace(0,L,rate*L)\n",
    "signal = np.sin(2*np.pi*f1*times) + np.sin(2*np.pi*f2*times)\n",
    "\n",
    "Audio(data=signal, rate=rate)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Video"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "More exotic objects can also be displayed, as long as their representation supports the IPython display protocol.  For example, videos hosted externally on YouTube are easy to load:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"400\"\n",
       "            height=\"300\"\n",
       "            src=\"https://www.youtube.com/embed/sjfsUzECqK0\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x1058e5cf8>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo('sjfsUzECqK0')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the nascent video capabilities of modern browsers, you may also be able to display local\n",
    "videos.  At the moment this doesn't work very well in all browsers, so it may or may not work for you;\n",
    "we will continue testing this and looking for ways to make it more robust.  \n",
    "\n",
    "The following cell loads a local file called  `animation.m4v`, encodes the raw video as base64 for http\n",
    "transport, and uses the HTML5 video tag to load it. On Chrome 15 it works correctly, displaying a control bar at the bottom with a play/pause button and a location slider."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video controls alt=\"test\" src=\"data:video/x-m4v;base64,[encoded data, 15872 characters]\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import HTML\n",
    "from base64 import b64encode\n",
    "video = open(\"../images/animation.m4v\", \"rb\").read()\n",
    "video_encoded = b64encode(video).decode('ascii')\n",
    "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)\n",
    "HTML(data=video_tag)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## External sites"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can even embed an entire page from another site in an iframe; for example this is today's Wikipedia\n",
    "page for mobile users:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"100%\"\n",
       "            height=\"350\"\n",
       "            src=\"http://jupyter.org\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.IFrame at 0x1059ae7b8>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import IFrame\n",
    "IFrame('http://jupyter.org', width='100%', height=350)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Links to local files"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IPython provides builtin display classes for generating links to local files. Create a link to a single file using the `FileLink` object:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<a href='Cell Magics.ipynb' target='_blank'>Cell Magics.ipynb</a><br>"
      ],
      "text/plain": [
       "/Users/minrk/dev/ip/mine/examples/IPython Kernel/Cell Magics.ipynb"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import FileLink, FileLinks\n",
    "FileLink('Cell Magics.ipynb')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, to generate links to all of the files in a directory, use the `FileLinks` object, passing `'.'` to indicate that we want links generated for the current working directory. Note that if there were other directories under the current directory, `FileLinks` would work in a recursive manner creating links to files in all sub-directories as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "./<br>\n",
       "&nbsp;&nbsp;<a href='./Animations Using clear_output.ipynb' target='_blank'>Animations Using clear_output.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Background Jobs.ipynb' target='_blank'>Background Jobs.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Beyond Plain Python.ipynb' target='_blank'>Beyond Plain Python.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Capturing Output.ipynb' target='_blank'>Capturing Output.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Cell Magics.ipynb' target='_blank'>Cell Magics.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Custom Display Logic.ipynb' target='_blank'>Custom Display Logic.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./example-demo.py' target='_blank'>example-demo.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./foo.py' target='_blank'>foo.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./Index.ipynb' target='_blank'>Index.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./ipython-completion.bash' target='_blank'>ipython-completion.bash</a><br>\n",
       "&nbsp;&nbsp;<a href='./ipython-get-history.py' target='_blank'>ipython-get-history.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./ipython-qtconsole.desktop' target='_blank'>ipython-qtconsole.desktop</a><br>\n",
       "&nbsp;&nbsp;<a href='./ipython.desktop' target='_blank'>ipython.desktop</a><br>\n",
       "&nbsp;&nbsp;<a href='./mod.py' target='_blank'>mod.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./Plotting in the Notebook.ipynb' target='_blank'>Plotting in the Notebook.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Raw Input in the Notebook.ipynb' target='_blank'>Raw Input in the Notebook.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Rich Output.ipynb' target='_blank'>Rich Output.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Script Magics.ipynb' target='_blank'>Script Magics.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./SymPy.ipynb' target='_blank'>SymPy.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Terminal Usage.ipynb' target='_blank'>Terminal Usage.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./test.txt' target='_blank'>test.txt</a><br>\n",
       "&nbsp;&nbsp;<a href='./Third Party Rich Output.ipynb' target='_blank'>Third Party Rich Output.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Trapezoid Rule.ipynb' target='_blank'>Trapezoid Rule.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./Working With External Code.ipynb' target='_blank'>Working With External Code.ipynb</a><br>\n",
       "./.ipynb_checkpoints/<br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Animations Using clear_output-checkpoint.ipynb' target='_blank'>Animations Using clear_output-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Background Jobs-checkpoint.ipynb' target='_blank'>Background Jobs-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Beyond Plain Python-checkpoint.ipynb' target='_blank'>Beyond Plain Python-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Capturing Output-checkpoint.ipynb' target='_blank'>Capturing Output-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Cell Magics-checkpoint.ipynb' target='_blank'>Cell Magics-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Custom Display Logic-checkpoint.ipynb' target='_blank'>Custom Display Logic-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Index-checkpoint.ipynb' target='_blank'>Index-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Plotting in the Notebook-checkpoint.ipynb' target='_blank'>Plotting in the Notebook-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Raw Input in the Notebook-checkpoint.ipynb' target='_blank'>Raw Input in the Notebook-checkpoint.ipynb</a><br>\n",
       "&nbsp;&nbsp;<a href='./.ipynb_checkpoints/Rich Output-checkpoint.ipynb' target='_blank'>Rich Output-checkpoint.ipynb</a><br>\n",
       "./__pycache__/<br>\n",
       "&nbsp;&nbsp;<a href='./__pycache__/mod.cpython-34.pyc' target='_blank'>mod.cpython-34.pyc</a><br>\n",
       "./data/<br>\n",
       "&nbsp;&nbsp;<a href='./data/flare.json' target='_blank'>flare.json</a><br>\n",
       "./gui/<br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-glut.py' target='_blank'>gui-glut.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-gtk.py' target='_blank'>gui-gtk.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-gtk3.py' target='_blank'>gui-gtk3.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-pyglet.py' target='_blank'>gui-pyglet.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-qt.py' target='_blank'>gui-qt.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-tk.py' target='_blank'>gui-tk.py</a><br>\n",
       "&nbsp;&nbsp;<a href='./gui/gui-wx.py' target='_blank'>gui-wx.py</a><br>"
      ],
      "text/plain": [
       "./\n",
       "  Animations Using clear_output.ipynb\n",
       "  Background Jobs.ipynb\n",
       "  Beyond Plain Python.ipynb\n",
       "  Capturing Output.ipynb\n",
       "  Cell Magics.ipynb\n",
       "  Custom Display Logic.ipynb\n",
       "  example-demo.py\n",
       "  foo.py\n",
       "  Index.ipynb\n",
       "  ipython-completion.bash\n",
       "  ipython-get-history.py\n",
       "  ipython-qtconsole.desktop\n",
       "  ipython.desktop\n",
       "  mod.py\n",
       "  Plotting in the Notebook.ipynb\n",
       "  Raw Input in the Notebook.ipynb\n",
       "  Rich Output.ipynb\n",
       "  Script Magics.ipynb\n",
       "  SymPy.ipynb\n",
       "  Terminal Usage.ipynb\n",
       "  test.txt\n",
       "  Third Party Rich Output.ipynb\n",
       "  Trapezoid Rule.ipynb\n",
       "  Working With External Code.ipynb\n",
       "./.ipynb_checkpoints/\n",
       "  Animations Using clear_output-checkpoint.ipynb\n",
       "  Background Jobs-checkpoint.ipynb\n",
       "  Beyond Plain Python-checkpoint.ipynb\n",
       "  Capturing Output-checkpoint.ipynb\n",
       "  Cell Magics-checkpoint.ipynb\n",
       "  Custom Display Logic-checkpoint.ipynb\n",
       "  Index-checkpoint.ipynb\n",
       "  Plotting in the Notebook-checkpoint.ipynb\n",
       "  Raw Input in the Notebook-checkpoint.ipynb\n",
       "  Rich Output-checkpoint.ipynb\n",
       "./__pycache__/\n",
       "  mod.cpython-34.pyc\n",
       "./data/\n",
       "  flare.json\n",
       "./gui/\n",
       "  gui-glut.py\n",
       "  gui-gtk.py\n",
       "  gui-gtk3.py\n",
       "  gui-pyglet.py\n",
       "  gui-qt.py\n",
       "  gui-tk.py\n",
       "  gui-wx.py"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FileLinks('.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rich output and security"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The IPython Notebook allows arbitrary code execution in both the IPython kernel and in the browser, though HTML and JavaScript output. More importantly, because IPython has a JavaScript API for running code in the browser, HTML and JavaScript output can actually trigger code to be run in the kernel. This poses a significant security risk as it would allow IPython Notebooks to execute arbitrary code on your computers.\n",
    "\n",
    "To protect against these risks, the IPython Notebook has a security model that specifies how dangerous output is handled. Here is a short summary:\n",
    "\n",
    "* When you run code in the Notebook, all rich output is displayed.\n",
    "* When you open a notebook, rich output is only displayed if it doesn't contain security vulberabilities,...\n",
    "* ..or if you have trusted a notebook, all rich output will run upon opening it.\n",
    "\n",
    "A full description of the IPython security model can be found on [this page](http://ipython.org/ipython-doc/dev/notebook/security.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rich output and nbviewer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Much of the power of the Notebook is that it enables users to share notebooks with each other using http://nbviewer.ipython.org, without installing IPython locally. As of IPython 2.0, notebooks rendere on nbviewer will display all output, including HTML and JavaScript. Furthermore, to provide a consistent JavaScript environment on the live Notebook and nbviewer, the following JavaScript libraries are loaded onto the nbviewer page, *before* the notebook and its output is displayed:\n",
    "\n",
    "* [jQuery](http://jquery.com/)\n",
    "* [RequireJS](http://requirejs.org/)\n",
    "\n",
    "Libraries such as [mpld3](http://mpld3.github.io/) use these capabilities to generate interactive visualizations that work on nbviewer."
   ]
  }
 ],
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