Matlab and JSAnimation Sample.ipynb

{
 "metadata": {
  "name": "Matlab and JSAnimation Sample"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Sample code to illustrate making an animation using Matlab + JSAnimation\n",
      "\n",
      "A sequence of png files is created using Matlab to plot and save each frame.  Then the Python package JSAnimation from <https://github.com/jakevdp/JSAnimation> is used to create an animation using javascript that loops over the frames, displaying each image created by Matlab using imshow from Matplotlib.  The animation should still work when viewed on the web via nbviewer with no need to download the code or have Matlab running.\n",
      "\n",
      "Running this notebook requires having Matlab installed, and also requires the Python module pymatbridge from <https://pypi.python.org/pypi/pymatbridge>."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pymatbridge\n",
      "ip = get_ipython()\n",
      "pymatbridge.load_ipython_extension(ip)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 50
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Set up the animate function used later:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import sys\n",
      "sys.path.append('/Users/rjl/git/JSAnimation')\n",
      "from JSAnimation import IPython_display\n",
      "\n",
      "import glob\n",
      "from matplotlib import image\n",
      "from matplotlib import animation\n",
      "\n",
      "def init():\n",
      "    im.set_data(image.imread(filenames[0]))\n",
      "    return im,\n",
      "\n",
      "def animate(i):\n",
      "    image_i=image.imread(filenames[i])\n",
      "    im.set_data(image_i)\n",
      "    return im,"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 51
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Create a directory to store the image files:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%system\n",
      "mkdir -p matlab_figures"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 52,
       "text": [
        "[]"
       ]
      }
     ],
     "prompt_number": 52
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### The Matlab code:\n",
      "\n",
      "This sample plots $\\cos(2\\pi t)\\sin(2\\pi x)$ on the interval $0 \\leq x \\leq 1$ for a number of frames at times in the interval $0 \\leq t \\leq 2\\pi$.  This can be interpreted as a standing wave solution to the wave equation $u_{tt} =u_{xx}$, for example."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%matlab\n",
      "x = linspace(0,1,501);\n",
      "nframes = 50;  % number of frames for the resulting animation\n",
      "amplitude = cos(2*pi*linspace(0,1,nframes));\n",
      "for i=1:nframes\n",
      "    plot(x,amplitude(i)*sin(2*pi*x))\n",
      "    fname = sprintf('matlab_figures/frame%03d.png',i);\n",
      "    axis([0,1,-1.1,1.1])\n",
      "    print('-dpng', fname);\n",
      "    end"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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      }
     ],
     "prompt_number": 53
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What shows up above is only the last frame plotted.\n",
      "\n",
      "### Now comes the Python code to read in the png files and turn them into an animation:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fname = 'matlab_figures/frame*.png'\n",
      "filenames=sorted(glob.glob(fname))\n",
      "#print filenames\n",
      "print 'number of frames found:  ',len(filenames)\n",
      "\n",
      "fig = plt.figure(figsize=(10, 6),dpi=80)\n",
      "ax = fig.add_axes([0, 0, 1, 1])\n",
      "ax.axis('off')\n",
      "im = plt.imshow(image.imread(filenames[0]))\n",
      "\n",
      "animation.FuncAnimation(fig, animate, init_func=init,\n",
      "                              frames=len(filenames), interval=100, blit=True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "number of frames found:   50\n"
       ]
      },
      {
       "html": [
        "\n",
        "<script language=\"javascript\">\n",
        "  /* Define the Animation class */\n",
        "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
        "    this.img_id = img_id;\n",
        "    this.slider_id = slider_id;\n",
        "    this.loop_select_id = loop_select_id;\n",
        "    this.interval = interval;\n",
        "    this.current_frame = 0;\n",
        "    this.direction = 0;\n",
        "    this.timer = null;\n",
        "    this.frames = new Array(frames.length);\n",
        "\n",
        "    for (var i=0; i<frames.length; i++)\n",
        "    {\n",
        "     this.frames[i] = new Image();\n",
        "     this.frames[i].src = frames[i];\n",
        "    }\n",
        "    document.getElementById(this.slider_id).max = this.frames.length - 1;\n",
        "    this.set_frame(this.current_frame);\n",
        "  }\n",
        "\n",
        "  Animation.prototype.get_loop_state = function(){\n",
        "    var button_group = document[this.loop_select_id].state;\n",
        "    for (var i = 0; i < button_group.length; i++) {\n",
        "        var button = button_group[i];\n",
        "        if (button.checked) {\n",
        "            return button.value;\n",
        "        }\n",
        "    }\n",
        "    return undefined;\n",
        "  }\n",
        "\n",
        "  Animation.prototype.set_frame = function(frame){\n",
        "    this.current_frame = frame;\n",
        "    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\n",
        "    document.getElementById(this.slider_id).value = this.current_frame;\n",
        "  }\n",
        "\n",
        "  Animation.prototype.next_frame = function()\n",
        "  {\n",
        "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
        "  }\n",
        "\n",
        "  Animation.prototype.previous_frame = function()\n",
        "  {\n",
        "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
        "  }\n",
        "\n",
        "  Animation.prototype.first_frame = function()\n",
        "  {\n",
        "    this.set_frame(0);\n",
        "  }\n",
        "\n",
        "  Animation.prototype.last_frame = function()\n",
        "  {\n",
        "    this.set_frame(this.frames.length - 1);\n",
        "  } \n",
        "\n",
        "  Animation.prototype.slower = function()\n",
        "  {\n",
        "    this.interval /= 0.7;\n",
        "    if(this.direction > 0){this.play_animation();}\n",
        "    else if(this.direction < 0){this.reverse_animation();}\n",
        "  }\n",
        "\n",
        "  Animation.prototype.faster = function()\n",
        "  {\n",
        "    this.interval *= 0.7;\n",
        "    if(this.direction > 0){this.play_animation();}\n",
        "    else if(this.direction < 0){this.reverse_animation();}\n",
        "  }\n",
        "\n",
        "  Animation.prototype.anim_step_forward = function()\n",
        "  {\n",
        "    this.current_frame += 1;\n",
        "    if(this.current_frame < this.frames.length){\n",
        "      this.set_frame(this.current_frame);\n",
        "    }else{\n",
        "      var loop_state = this.get_loop_state();\n",
        "      if(loop_state == \"loop\"){\n",
        "        this.first_frame();\n",
        "      }else if(loop_state == \"reflect\"){\n",
        "        this.last_frame();\n",
        "        this.reverse_animation();\n",
        "      }else{\n",
        "        this.pause_animation();\n",
        "        this.last_frame();\n",
        "      }\n",
        "    }\n",
        "  }\n",
        "\n",
        "  Animation.prototype.anim_step_reverse = function()\n",
        "  {\n",
        "    this.current_frame -= 1;\n",
        "    if(this.current_frame >= 0){\n",
        "      this.set_frame(this.current_frame);\n",
        "    }else{\n",
        "      var loop_state = this.get_loop_state();\n",
        "      if(loop_state == \"loop\"){\n",
        "        this.last_frame();\n",
        "      }else if(loop_state == \"reflect\"){\n",
        "        this.first_frame();\n",
        "        this.play_animation();\n",
        "      }else{\n",
        "        this.pause_animation();\n",
        "        this.first_frame();\n",
        "      }\n",
        "    }\n",
        "  }\n",
        "\n",
        "  Animation.prototype.pause_animation = function()\n",
        "  {\n",
        "    this.direction = 0;\n",
        "    if (this.timer){\n",
        "      clearInterval(this.timer);\n",
        "      this.timer = null;\n",
        "    }\n",
        "  }\n",
        "\n",
        "  Animation.prototype.play_animation = function()\n",
        "  {\n",
        "    this.pause_animation();\n",
        "    this.direction = 1;\n",
        "    var t = this;\n",
        "    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\n",
        "  }\n",
        "\n",
        "  Animation.prototype.reverse_animation = function()\n",
        "  {\n",
        "    this.pause_animation();\n",
        "    this.direction = -1;\n",
        "    var t = this;\n",
        "    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\n",
        "  }\n",
        "</script>\n",
        "\n",
        "<div class=\"animation\" align=\"center\">\n",
        "    <img id=\"_anim_imgDJNGKERAKBLMMFFD\">\n",
        "    <br>\n",
        "    <input id=\"_anim_sliderDJNGKERAKBLMMFFD\" type=\"range\" style=\"width:350px\" name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\" onchange=\"animDJNGKERAKBLMMFFD.set_frame(parseInt(this.value));\"></input>\n",
        "    <br>\n",
        "    <button onclick=\"animDJNGKERAKBLMMFFD.slower()\">&#8211;</button>\n",
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        "    <button onclick=\"animDJNGKERAKBLMMFFD.faster()\">+</button>\n",
        "  <form action=\"#n\" name=\"_anim_loop_selectDJNGKERAKBLMMFFD\" class=\"anim_control\">\n",
        "    <input type=\"radio\" name=\"state\" value=\"once\" > Once </input>\n",
        "    <input type=\"radio\" name=\"state\" value=\"loop\" checked> Loop </input>\n",
        "    <input type=\"radio\" name=\"state\" value=\"reflect\" > Reflect </input>\n",
        "  </form>\n",
        "</div>\n",
        "\n",
        "\n",
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        "  /* The IDs given should match those used in the template above. */\n",
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