{
 "metadata": {
  "name": "",
  "signature": "sha256:26db0f5f1ed3a99111cb5e24362174f350a65ed7e111205860812b7edec2951d"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "%matplotlib inline\n",
      "from ipywidgets import StaticInteract, RangeWidget"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "k = 1\n",
      "w = 1\n",
      "x = np.linspace(0,1,11)\n",
      "#t = np.linspace(0,1,11)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t = 0.6"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 26
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "y = np.sin(k*x-w*t)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 28,
       "text": [
        "[<matplotlib.lines.Line2D at 0xb013f06c>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0xb02b1dcc>"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = np.linspace(-np.pi, np.pi,21)\n",
      "def plot(t):\n",
      "    fig, ax = plt.subplots(figsize=(4,3),\n",
      "                           subplot_kw={'axisbg':'#EEEEEE',\n",
      "                                       'axisbelow':True})\n",
      "    ax.grid(color='w', linewidth=2, linestyle='solid')\n",
      "    ax.plot(np.sin(k*x-w*t) +np.sin(2*k*x-w*t), lw=5, alpha=0.4)\n",
      "    #ax.set_xlim(-50, 50)\n",
      "    ax.set_ylim(-2, 2)\n",
      "    return fig"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "StaticInteract(plot,t=RangeWidget(0, np.pi, np.pi/4.))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "    <script type=\"text/javascript\">\n",
        "      var mergeNodes = function(a, b) {\n",
        "        return [].slice.call(a).concat([].slice.call(b));\n",
        "      }; // http://stackoverflow.com/questions/914783/javascript-nodelist/17262552#17262552\n",
        "      function interactUpdate(div){\n",
        "         var outputs = div.getElementsByTagName(\"div\");\n",
        "         //var controls = div.getElementsByTagName(\"input\");\n",
        "         var controls = mergeNodes(div.getElementsByTagName(\"input\"), div.getElementsByTagName(\"select\"));\n",
        "         function nameCompare(a,b) {\n",
        "            return a.getAttribute(\"name\").localeCompare(b.getAttribute(\"name\"));\n",
        "         }\n",
        "         controls.sort(nameCompare);\n",
        "\n",
        "         var value = \"\";\n",
        "         for(i=0; i<controls.length; i++){\n",
        "           if((controls[i].type == \"range\") || controls[i].checked){\n",
        "             value = value + controls[i].getAttribute(\"name\") + controls[i].value;\n",
        "           }\n",
        "           if(controls[i].type == \"select-one\"){\n",
        "             value = value + controls[i].getAttribute(\"name\") + controls[i][controls[i].selectedIndex].value;\n",
        "           }\n",
        "         }\n",
        "\n",
        "         for(i=0; i<outputs.length; i++){\n",
        "           var name = outputs[i].getAttribute(\"name\");\n",
        "           if(name == value){\n",
        "              outputs[i].style.display = 'block';\n",
        "           } else if(name != \"controls\"){\n",
        "              outputs[i].style.display = 'none';\n",
        "           }\n",
        "         }\n",
        "      }\n",
        "    </script>\n",
        "    \n",
        "    <div>\n",
        "      \n",
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        "\">\n",
        "    </div>\n",
        "    \n",
        "      <b>t:</b> <input type=\"range\" name=\"t\" min=\"0\" max=\"3.14159265359\" step=\"0.785398163397\" value=\"0\" style=\"width:350px\" oninput=\"interactUpdate(this.parentNode);\" onchange=\"interactUpdate(this.parentNode);\">\n",
        "    </div>\n",
        "    "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 61,
       "text": [
        "<ipywidgets.interact.StaticInteract at 0xafd5416c>"
       ]
      }
     ],
     "prompt_number": 61
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = np.linspace(-2*np.pi,2*np.pi,41)\n",
      "def plot(t):\n",
      "    fig, ax = plt.subplots(figsize=(4,3),\n",
      "                           subplot_kw={'axisbg':'#EEEEEE',\n",
      "                                       'axisbelow':True})\n",
      "    ax.grid(color='w', linewidth=2, linestyle='solid')\n",
      "    ax.plot(np.sin(k*x-w*t) +np.sin(3*k*x-w*t) +np.sin(5*k*x-w*t) +np.sin(7*k*x-w*t) +np.sin(9*k*x-w*t), lw=5, alpha=0.4)\n",
      "    #ax.set_xlim(-50, 50)\n",
      "    #ax.set_ylim(0, 1)\n",
      "    return fig"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 49
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}