{
 "metadata": {
  "name": "Part 3 - Parallel Magics"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Using Parallel Magics"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "IPython has a few magics for working with your engines.\n",
      "\n",
      "This assumes you have started an IPython cluster, either with the notebook interface,\n",
      "or the `ipcluster/controller/engine` commands."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
        "For more information, type 'help(pylab)'.\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython import parallel\n",
      "rc = parallel.Client()\n",
      "dv = rc[:]\n",
      "rc.ids"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "[0, 1, 2, 3]"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Creating a Client registers the parallel magics `%px`, `%%px`, `%pxresult`, `pxconfig`, and `%autopx`.  \n",
      "These magics are initially associated with a DirectView always associated with all currently registered engines."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we can execute code remotely with `%px`:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px a=5"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px print a"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] 5\n",
        "[stdout:1] 5\n",
        "[stdout:2] 5\n",
        "[stdout:3] 5\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px a"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:58]: \u001b[0m5"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:58]: \u001b[0m5"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:58]: \u001b[0m5"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:60]: \u001b[0m5"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "with dv.sync_imports():\n",
      "    import sys"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "importing sys on engine(s)\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "stderr comes to stderr"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px print >> sys.stderr, \"ERROR\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "[stderr:0] ERROR\n",
        "[stderr:1] ERROR\n",
        "[stderr:2] ERROR\n",
        "[stderr:3] ERROR\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You don't have to wait for results.  The `%pxconfig` magic lets you change the default blocking/targets for the `%px` magics:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pxconfig --noblock"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px import time\n",
      "%px time.sleep(3*rank)\n",
      "%px time.time()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<AsyncResult: execute>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "But you will notice that this didn't output the result of the last command.\n",
      "For this, we have `%pxresult`, which displays the output of the latest request:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pxresult"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Remember, an IPython engine is IPython, so you can do magics remotely as well!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pxconfig --block\n",
      "%px %pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] \n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
        "For more information, type 'help(pylab)'.\n",
        "[stdout:1] \n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
        "For more information, type 'help(pylab)'.\n",
        "[stdout:2] \n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
        "For more information, type 'help(pylab)'.\n",
        "[stdout:3] \n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
        "For more information, type 'help(pylab)'.\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "`%%px` can also be used as a cell magic, for submitting whole blocks.\n",
      "This one acceps `--block` and `--noblock` flags to specify\n",
      "the blocking behavior, though the default is unchanged.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dv.scatter('rank', dv.targets, flatten=True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<AsyncResult: scatter>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px --noblock\n",
      "x = linspace(0,pi,1000)\n",
      "plt.plot(x,sin((rank+1)*x))\n",
      "plt.title(\"Plot %i\" % rank)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<AsyncResult: execute>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pxresult"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "output_type": "display_data",
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      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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9kJQECxaYjVbkVNqBS8Tlpk2D1183C4xFRdlO43733gs//KD7I5VR4RdxubIy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\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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5eAuS07C7p35JSezmIW1gVw85TVkZ0KEDUFDARdtuVloKBAeL/zZuLDsNGQm7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\nFn4iIpNh4SciMpn/B0bzcOaKdPjGAAAAAElFTkSuQmCC\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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nfh3TY7mHE794er2vkpJER+E5nPh1bNQoYP9+0VGop76eWmajRomOxNiGDgVO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\nAAAASUVORK5CYII=\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:63]: \u001b[0m<matplotlib.text.Text at 0x1149f7dd0>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:63]: \u001b[0m<matplotlib.text.Text at 0x10de51e90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:63]: \u001b[0m<matplotlib.text.Text at 0x10fcd9750>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:65]: \u001b[0m<matplotlib.text.Text at 0x114d27750>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "It also lets you choose some amount of the grouping of the outputs with `--group-outputs`:\n",
      "\n",
      "The choices are:\n",
      "\n",
      "* `engine` - all of an engine's output is collected together\n",
      "* `type` - where stdout of each engine is grouped, etc. (the default)\n",
      "* `order` - same as `type`, but individual displaypub outputs are interleaved.\n",
      "  That is, it will output the first plot from each engine, then the second from each,\n",
      "  etc."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px --group-outputs=engine\n",
      "x = linspace(0,pi,1000)\n",
      "plt.plot(x,sin((rank+1)*x))\n",
      "plt.title(\"Plot %i\" % rank)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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nISIZ7O2BSZPY6708FRb3hIQEeHt7w8vLC0uWLCn1+Y0bNyIgIAD+/v7o0KED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\nOxGRDrG4ExHpEIs7EZEO/T/FZ7pksnDAlQAAAABJRU5ErkJggg==\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:64]: \u001b[0m<matplotlib.text.Text at 0x114914b10>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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9kJQECxaYjVbkVNqBS8Tlpk2D1183C4xFRdlO43733gs//KD7I5VR4RdxubIy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\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:64]: \u001b[0m<matplotlib.text.Text at 0x10dfb8950>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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5eAuS07C7p35JSezmIW1gVw85TVkZ0KEDUFDARdtuVloKBAeL/zZuLDsNGQm7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\nFn4iIpNh4SciMpn/B0bzcOaKdPjGAAAAAElFTkSuQmCC\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:64]: \u001b[0m<matplotlib.text.Text at 0x10fec2950>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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Tv8lkQnZ2NqKiopCSkoKioiJPh+k0ma+9PbRy7UtKSlBYWIiEhIQW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\nAAAASUVORK5CYII=\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:66]: \u001b[0m<matplotlib.text.Text at 0x114d6f210>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "When you specify 'order', then individual display outputs (e.g. plots) will be interleaved.\n",
      "\n",
      "`%pxresult` takes the same output-ordering arguments as `%%px`, \n",
      "so you can view the previous result in a variety of different ways with a few sequential calls to `%pxresult`:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px --noblock\n",
      "\n",
      "import os\n",
      "from IPython.display import display, Math\n",
      "\n",
      "display(Math(\"sin(x^%i)\" % (rank+1)))\n",
      "\n",
      "x = linspace(0,pi,1000)\n",
      "plt.plot(x,sin(x**(rank+1)))\n",
      "plt.title(\"Plot %i\" % rank)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "<AsyncResult: execute>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pxresult --group-outputs=order"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "latex": [
        "$$sin(x^1)$$"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Math at 0x114911f50>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "latex": [
        "$$sin(x^2)$$"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Math at 0x10dfb6e90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "latex": [
        "$$sin(x^3)$$"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Math at 0x10fec2d90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "latex": [
        "$$sin(x^4)$$"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.Math at 0x114d6b690>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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HiImRnUIbQkJY+InoGr6+QEQEsHWr7CTuwxH/H7p0EVM69f4An4WfyM2M1Ocv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\nHBuTAAAAAElFTkSuQmCC\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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55RaUlJRYDtwIX34JlJRQRc7f/07CMWcOrbz929+M1REzzjJ6NDVqE5n5WqW1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\nMAzjMVj4GYZhPAYLP8MwjMf4f0RHNobKw+TfAAAAAElFTkSuQmCC\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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K4hdZOCKPv5CCu6T48wB79gAPPJCON+4alZXAkSNiJRonsmj1pFGyAbBT/DYe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\nAAAAAABJRU5ErkJggg==\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:65]: \u001b[0m<matplotlib.text.Text at 0x114b93c90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:65]: \u001b[0m<matplotlib.text.Text at 0x10e140850>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:65]: \u001b[0m<matplotlib.text.Text at 0x10ffd0850>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:67]: \u001b[0m<matplotlib.text.Text at 0x114e1a110>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Single-engine views"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "When a DirectView has a single target, the output is a bit simpler (no prefixes on stdout/err, etc.):"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def generate_output():\n",
      "    \"\"\"function for testing output\n",
      "    \n",
      "    publishes two outputs of each type, and returns something\n",
      "    \"\"\"\n",
      "    \n",
      "    import sys,os\n",
      "    from IPython.core.display import display, HTML, Math\n",
      "    \n",
      "    print \"stdout\"\n",
      "    print >> sys.stderr, \"stderr\"\n",
      "    \n",
      "    display(HTML(\"<a href='http://ipython.org'>Visit IPython</b>\"))\n",
      "    \n",
      "    return os.getpid()\n",
      "\n",
      "dv['generate_output'] = generate_output"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You can also have more than one set of parallel magics registered at a time.\n",
      "\n",
      "The `View.activate()` method takes a suffix argument, which is added to `'px'`."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "e0 = rc[-1]\n",
      "e0.block = True\n",
      "e0.activate('0')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px0 generate_output()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "stdout\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "stderr\n"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x114d6fe90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:68]: \u001b[0m74428"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px generate_output()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] stdout\n",
        "[stdout:1] stdout\n",
        "[stdout:2] stdout\n",
        "[stdout:3] stdout\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "[stderr:0] stderr\n",
        "[stderr:1] stderr\n",
        "[stderr:2] stderr\n",
        "[stderr:3] stderr\n"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x114916090>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x10dfb8e90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x10fec5c10>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x114d65690>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:66]: \u001b[0m74421"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:66]: \u001b[0m74419"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:66]: \u001b[0m74425"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:69]: \u001b[0m74428"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As mentioned above, we can redisplay those same results with various grouping:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pxresult --group-outputs engine"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] stdout\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "[stderr:0] stderr\n"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x114916090>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:66]: \u001b[0m74421"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:1] stdout\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "[stderr:1] stderr\n"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x10dfb8e90>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:66]: \u001b[0m74419"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:2] stdout\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "[stderr:2] stderr\n"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x10fec5c10>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:66]: \u001b[0m74425"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:3] stdout\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "[stderr:3] stderr\n"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "html": [
        "<a href='http://ipython.org'>Visit IPython</b>"
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x114d65690>"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:69]: \u001b[0m74428"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Parallel Exceptions"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "When you raise exceptions with the parallel exception,\n",
      "the CompositeError raised locally will display your remote traceback."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px\n",
      "from numpy.random import random\n",
      "A = random((100,100,'invalid shape'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "ename": "CompositeError",
       "evalue": "one or more exceptions from call to method: execute\n[0:execute]: ValueError: negative dimensions are not allowed\n[1:execute]: ValueError: negative dimensions are not allowed\n[2:execute]: ValueError: negative dimensions are not allowed\n[3:execute]: ValueError: negative dimensions are not allowed",
       "output_type": "pyerr",
       "traceback": [
        "[0:execute]: ",
        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)\u001b[1;32m<ipython-input-67-2f86496ae392>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m",
        "\u001b[0;32m      1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrandom\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[1;32m----> 2\u001b[1;33m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'invalid shape'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[0m\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.RandomState.random_sample (numpy/random/mtrand/mtrand.c:6136)\u001b[1;34m()\u001b[0m",
        "\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.cont0_array (numpy/random/mtrand/mtrand.c:1571)\u001b[1;34m()\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m: negative dimensions are not allowed",
        "",
        "[1:execute]: ",
        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)\u001b[1;32m<ipython-input-67-2f86496ae392>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m",
        "\u001b[0;32m      1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrandom\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[1;32m----> 2\u001b[1;33m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'invalid shape'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[0m\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.RandomState.random_sample (numpy/random/mtrand/mtrand.c:6136)\u001b[1;34m()\u001b[0m",
        "\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.cont0_array (numpy/random/mtrand/mtrand.c:1571)\u001b[1;34m()\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m: negative dimensions are not allowed",
        "",
        "[2:execute]: ",
        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)\u001b[1;32m<ipython-input-67-2f86496ae392>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m",
        "\u001b[0;32m      1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrandom\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[1;32m----> 2\u001b[1;33m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'invalid shape'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[0m\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.RandomState.random_sample (numpy/random/mtrand/mtrand.c:6136)\u001b[1;34m()\u001b[0m",
        "\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.cont0_array (numpy/random/mtrand/mtrand.c:1571)\u001b[1;34m()\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m: negative dimensions are not allowed",
        "",
        "[3:execute]: ",
        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)\u001b[1;32m<ipython-input-70-2f86496ae392>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m",
        "\u001b[0;32m      1\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrandom\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[1;32m----> 2\u001b[1;33m \u001b[0mA\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrandom\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'invalid shape'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m",
        "\u001b[0m\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.RandomState.random_sample (numpy/random/mtrand/mtrand.c:6136)\u001b[1;34m()\u001b[0m",
        "\u001b[1;32m/Users/minrk/dev/py/numpy/numpy/random/mtrand.so\u001b[0m in \u001b[0;36mmtrand.cont0_array (numpy/random/mtrand/mtrand.c:1571)\u001b[1;34m()\u001b[0m",
        "\u001b[1;31mValueError\u001b[0m: negative dimensions are not allowed",
        ""
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Engines are IPython"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Remember, Engines are IPython too, so the cell that is run remotely by %%px can in turn use a cell magic."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px\n",
      "%%timeit\n",
      "from numpy.random import random\n",
      "from numpy.linalg import norm\n",
      "A = random((100*(rank+1),100*(rank+1)))\n",
      "norm(A,2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] 100 loops, best of 3: 3.02 ms per loop\n",
        "[stdout:1] 10 loops, best of 3: 32.2 ms per loop\n",
        "[stdout:2] 10 loops, best of 3: 40 ms per loop\n",
        "[stdout:3] 1 loops, best of 3: 321 ms per loop\n"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And you can run line magics remotely as well"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px\n",
      "import os\n",
      "from numpy.random import random\n",
      "from numpy.linalg import norm\n",
      "\n",
      "A = random((200*(rank+1),200*(rank+1)))\n",
      "\n",
      "pid = os.getpid()\n",
      "!echo 'hello from $pid'\n",
      "\n",
      "%timeit norm(A,2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] \n",
        "hello from 74421\r\n",
        "10 loops, best of 3: 55.4 ms per loop\n",
        "[stdout:1] \n",
        "hello from 74419\r\n",
        "1 loops, best of 3: 478 ms per loop\n",
        "[stdout:2] \n",
        "hello from 74425\r\n",
        "1 loops, best of 3: 852 ms per loop\n",
        "[stdout:3] \n",
        "hello from 74428\r\n",
        "1 loops, best of 3: 850 ms per loop\n"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Bonus Points"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Parallel magics, line magics, display protocol, and cell magics all come together for parallel remote plots in R:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X = np.linspace(0, 3*np.pi, 32)\n",
      "Y = np.sin(X)\n",
      "dv.scatter('X', X)\n",
      "dv.scatter('Y', Y)\n",
      "plot(X,Y, '-o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 26,
       "text": [
        "[<matplotlib.lines.Line2D at 0x107cdebd0>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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HHsDq1atlx5KmU6dOCAwMREFBAQBg+/bt6GNPr2gdCA0Nxd69e3H5\n8mUoioLt27cj3JENE3QgPj4e7733HgDgvffea97JoqumFzVXZmam0qtXLyU4OFhZtGiR7DjS7Nq1\nSzGZTMqAAQOUiIgIJSIiQsnKypIdS6r8/Hxl4sSJsmNId+jQIWXw4MFK//79lYceekg5d+6c7EjS\nLF68+NqUzSeffFKpqamRHcltpk6dqnTu3Fnx9vZWAgIClFWrVilnzpxRRo8ebdOUTdXskUtERK7H\n6RFERAbCok9EZCAs+kREBsKiT0RkICz6REQGwqJPRGQg/w+hpxxWFCRX0wAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px %load_ext rmagic\n",
      "%px %Rpush X Y"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px\n",
      "%%R -i X,Y -o XYcoef\n",
      "XYlm = lm(Y~X)\n",
      "XYcoef = coef(XYlm)\n",
      "print(summary(XYlm))\n",
      "par(mfrow=c(2,2))\n",
      "plot(XYlm)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "text": [
        "[output:0]"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\n",
        "Call:\n",
        "lm(formula = Y ~ X)\n",
        "\n",
        "Residuals:\n",
        "     Min       1Q   Median       3Q      Max \n",
        "-0.27457 -0.10157  0.02908  0.14237  0.19716 \n",
        "\n",
        "Coefficients:\n",
        "            Estimate Std. Error t value Pr(>|t|)   \n",
        "(Intercept)  0.23043    0.12571   1.833  0.11648   \n",
        "X            0.41951    0.09884   4.244  0.00541 **\n",
        "---\n",
        "Signif. codes:  0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1 \n",
        "\n",
        "Residual standard error: 0.1947 on 6 degrees of freedom\n",
        "Multiple R-squared: 0.7502,\tAdjusted R-squared: 0.7085 \n",
        "F-statistic: 18.01 on 1 and 6 DF,  p-value: 0.005414 \n",
        "\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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sMRb3vXv3Eh0dzW+//YaFhYXZNBg1JSnAOaR///6UK1eOESNGANCuXTuWLFnCvXv30DSN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\nSLy9vbl58yaKolCnTh18fX3Zs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      },
      {
       "output_type": "display_data",
       "text": [
        "[output:1]"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\n",
        "Call:\n",
        "lm(formula = Y ~ X)\n",
        "\n",
        "Residuals:\n",
        "      Min        1Q    Median        3Q       Max \n",
        "-0.093232 -0.063326 -0.006248  0.049726  0.142943 \n",
        "\n",
        "Coefficients:\n",
        "            Estimate Std. Error t value Pr(>|t|)    \n",
        "(Intercept)  2.56530    0.15735   16.30 3.39e-06 ***\n",
        "X           -0.81062    0.04414  -18.37 1.68e-06 ***\n",
        "---\n",
        "Signif. codes:  0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1 \n",
        "\n",
        "Residual standard error: 0.08696 on 6 degrees of freedom\n",
        "Multiple R-squared: 0.9825,\tAdjusted R-squared: 0.9796 \n",
        "F-statistic: 337.3 on 1 and 6 DF,  p-value: 1.679e-06 \n",
        "\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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BihUrYmNjo3U4L2TUI2BTpFhYoAT2RP/lCq1DESJH7N27lylTphAZGUnnzp0Z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\n8Vz37t3j4sWLmt9HkB9leQS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qVK3DKpD++usvjh49SnJyMsWKFZO70UUGkoBNhK5ta2jb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PLly0RGRhIREcG5c+eIjY0lODj4qduePn2at956K8fPsWPHqF+/Pg8fPgTg4cOHhIeHEx8fT0pK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\nAAAASUVORK5CYII=\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:2]"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\n",
        "Call:\n",
        "lm(formula = Y ~ X)\n",
        "\n",
        "Residuals:\n",
        "      Min        1Q    Median        3Q       Max \n",
        "-0.093232 -0.063326 -0.006248  0.049726  0.142943 \n",
        "\n",
        "Coefficients:\n",
        "            Estimate Std. Error t value Pr(>|t|)    \n",
        "(Intercept) -5.07457    0.26346  -19.26 1.27e-06 ***\n",
        "X            0.81062    0.04414   18.37 1.68e-06 ***\n",
        "---\n",
        "Signif. codes:  0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1 \n",
        "\n",
        "Residual standard error: 0.08696 on 6 degrees of freedom\n",
        "Multiple R-squared: 0.9825,\tAdjusted R-squared: 0.9796 \n",
        "F-statistic: 337.3 on 1 and 6 DF,  p-value: 1.679e-06 \n",
        "\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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4hNahCJFlZcuWJTg4mEWLFvH++++zZMkSypUrp3VYQmSL33//nUuXLgFQsmRJ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\nFkIIITQgCVgIIYTQgCRgIYQQQgP/HwIDJiVh4VMPAAAAAElFTkSuQmCC\n"
      },
      {
       "output_type": "display_data",
       "text": [
        "[output:3]"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\n",
        "Call:\n",
        "lm(formula = Y ~ X)\n",
        "\n",
        "Residuals:\n",
        "     Min       1Q   Median       3Q      Max \n",
        "-0.27457 -0.10157  0.02908  0.14237  0.19716 \n",
        "\n",
        "Coefficients:\n",
        "            Estimate Std. Error t value Pr(>|t|)   \n",
        "(Intercept)  4.18419    0.82922   5.046  0.00234 **\n",
        "X           -0.41951    0.09884  -4.244  0.00541 **\n",
        "---\n",
        "Signif. codes:  0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1 \n",
        "\n",
        "Residual standard error: 0.1947 on 6 degrees of freedom\n",
        "Multiple R-squared: 0.7502,\tAdjusted R-squared: 0.7085 \n",
        "F-statistic: 18.01 on 1 and 6 DF,  p-value: 0.005414 \n",
        "\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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0fQcoNGo4nTp10jtWjnfkyBG2bt0KpIy9e/bsWSpVqpTh9UZGRuLm5kZ8fDyL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\n0cnhAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And the same for parallel remote Cython"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px %load_ext cythonmagic"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%px\n",
      "%%cython\n",
      "cimport cython\n",
      "from libc.math cimport exp, sqrt, pow, log, erf\n",
      "\n",
      "@cython.cdivision(True)\n",
      "cdef double std_norm_cdf(double x) nogil:\n",
      "    return 0.5*(1+erf(x/sqrt(2.0)))\n",
      "\n",
      "@cython.cdivision(True)\n",
      "def black_scholes(double s, double k, double t, double v,\n",
      "                 double rf, double div, double cp):\n",
      "    \"\"\"Price an option using the Black-Scholes model.\n",
      "    \n",
      "    s : initial stock price\n",
      "    k : strike price\n",
      "    t : expiration time\n",
      "    v : volatility\n",
      "    rf : risk-free rate\n",
      "    div : dividend\n",
      "    cp : +1/-1 for call/put\n",
      "    \"\"\"\n",
      "    cdef double d1, d2, optprice\n",
      "    with nogil:\n",
      "        d1 = (log(s/k)+(rf-div+0.5*pow(v,2))*t)/(v*sqrt(t))\n",
      "        d2 = d1 - v*sqrt(t)\n",
      "        optprice = cp*s*exp(-div*t)*std_norm_cdf(cp*d1) - \\\n",
      "            cp*k*exp(-rf*t)*std_norm_cdf(cp*d2)\n",
      "    return optprice"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dv.scatter('call', [50., 100., 150., 200.], flatten=True)\n",
      "%px %timeit black_scholes(call, 100.0, 1.0, 0.3, 0.03, 0.0, -1)\n",
      "%px black_scholes(call, 100.0, 1.0, 0.3, 0.03, 0.0, -1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[stdout:0] 100000 loops, best of 3: 1.95 us per loop\n",
        "[stdout:1] 100000 loops, best of 3: 1.76 us per loop\n",
        "[stdout:2] 100000 loops, best of 3: 1.89 us per loop\n",
        "[stdout:3] 100000 loops, best of 3: 1.83 us per loop\n"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[0:76]: \u001b[0m47.14277550628262"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[1:76]: \u001b[0m10.327861752731728"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[2:76]: \u001b[0m1.1740720290751039"
       ]
      },
      {
       "output_type": "display_data",
       "text": [
        "\u001b[0;31mOut[3:79]: \u001b[0m0.10913979989888967"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Last, but not least, opening a QtConsole onto an engine"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%px0 %qtconsole"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 33
    }
   ],
   "metadata": {}
  }
 ]
}