{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Channel capacity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from bokeh.layouts import row, column\n",
    "from bokeh.models import ColumnDataSource, Slider, CustomJS, Text, DataRange1d, Title\n",
    "from bokeh.plotting import Figure, show, output_file\n",
    "from bokeh.io import output_notebook "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from amplitude_damping import *\n",
    "\n",
    "R_values = np.geomspace(start=0.2, stop=500.0, num=100)\n",
    "\n",
    "R_values_str = [str(i) for i in range(len(R_values))]\n",
    "\n",
    "R_values_str_R = ['R = {:.2f}'.format(R) for R in R_values] # truncate to two decimals\n",
    "\n",
    "# make a dictionary of form {'0': 0.0, '1': 0.2, .. }\n",
    "R_values_dict = {R_values_str[i]:R_values.round(2)[i] for i,_ in enumerate(R_values)} # rounding to two decimals\n",
    "\n",
    "initial_r = R_values_str[len(R_values)//2]\n",
    "\n",
    "npoints = 400\n",
    "\n",
    "ts_cap = np.linspace(0,1.1,200)\n",
    "ys_cap = {R: np.array([Qa(c1(R_values_dict[R],t)**2) for t in ts_cap]) for R in R_values_str}\n",
    "rs_cap = {R_values_str[i] : [R_values_str_R[i]] for i,_ in enumerate(R_values)} \n",
    "\n",
    "\n",
    "# Wrap the data in two ColumnDataSources\n",
    "#source_visible = ColumnDataSource(data=dict(\n",
    "#    x = ts, y = ys[initial_r]))\n",
    "#source_available = ColumnDataSource(data=ys)\n",
    "\n",
    "source_visible = ColumnDataSource(data=dict(\n",
    "    x = ts_cap, y = ys_cap[initial_r]))\n",
    "\n",
    "source_available = ColumnDataSource(data=ys_cap)\n",
    "\n",
    "\n",
    "# Define plot elements\n",
    "plot = Figure(plot_width=400, plot_height=400, x_range = DataRange1d(), y_range=(-.01, 1.01))\n",
    "plot.line('x', 'y', source=source_visible, legend_label=\"Q(Φ(t))\", line_width=3, line_alpha=0.6)\n",
    "\n",
    "# Add text\n",
    "text_source = ColumnDataSource({'r_value': [rs_cap[initial_r]]})\n",
    "r_available = ColumnDataSource(data=rs_cap)\n",
    "text = Text(x=0, x_offset=315, y=.8, text='r_value', text_font_size='15pt', text_align='right')\n",
    "plot.add_glyph(text_source, text)\n",
    "\n",
    "# Add slider\n",
    "slider = Slider(value=int(initial_r),\n",
    "                start=np.min([int(i) for i in ys_cap.keys()]),\n",
    "                end=np.max([int(i) for i in ys_cap.keys()]),\n",
    "                step=1,\n",
    "                show_value = False,\n",
    "                title = 'R')\n",
    "\n",
    "# Define CustomJS callback, which updates the plot based on selected function\n",
    "# by updating the source_visible ColumnDataSource.\n",
    "slider.callback = CustomJS(\n",
    "    args=dict(source_visible=source_visible,\n",
    "              source_available=source_available,\n",
    "              text_source = text_source,\n",
    "              r_available = r_available), code=\"\"\"\n",
    "        var r_idx = cb_obj.value;\n",
    "        \n",
    "        // Get the data from the data sources\n",
    "        var data_visible = source_visible.data;\n",
    "        var data_available = source_available.data;\n",
    "        \n",
    "        // Change y-axis data according to the selected value\n",
    "        data_visible.y = data_available[r_idx];\n",
    "                \n",
    "        // text\n",
    "        text_source.data = {'r_value': [String(r_available.data[r_idx])]};\n",
    "        \n",
    "        // Update the plot\n",
    "        source_visible.change.emit();\n",
    "        \n",
    "    \"\"\")\n",
    "\n",
    "layout = column(plot,slider)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"1113\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      var cmd = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      var toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    var events = require('base/js/events');\n",
       "    var OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  \n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    var el = document.getElementById(\"1113\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error() {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < css_urls.length; i++) {\n",
       "      var url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };var element = document.getElementById(\"1113\");\n",
       "  if (element == null) {\n",
       "    console.error(\"Bokeh: ERROR: autoload.js configured with elementid '1113' but no matching script tag was found. \")\n",
       "    return false;\n",
       "  }\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  \n",
       "  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-1.4.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.4.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.4.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-1.4.0.min.js\"];\n",
       "  var css_urls = [];\n",
       "  \n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    function(Bokeh) {\n",
       "    \n",
       "    \n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "      \n",
       "    for (var i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "    if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      var cell = $(document.getElementById(\"1113\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n  \n\n  \n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  var NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    var el = document.getElementById(\"1113\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error() {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (var i = 0; i < css_urls.length; i++) {\n      var url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };var element = document.getElementById(\"1113\");\n  if (element == null) {\n    console.error(\"Bokeh: ERROR: autoload.js configured with elementid '1113' but no matching script tag was found. \")\n    return false;\n  }\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  \n  var js_urls = [\"https://cdn.pydata.org/bokeh/release/bokeh-1.4.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-widgets-1.4.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-tables-1.4.0.min.js\", \"https://cdn.pydata.org/bokeh/release/bokeh-gl-1.4.0.min.js\"];\n  var css_urls = [];\n  \n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    function(Bokeh) {\n    \n    \n    }\n  ];\n\n  function run_inline_js() {\n    \n    if (root.Bokeh !== undefined || force === true) {\n      \n    for (var i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\n    if (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      var cell = $(document.getElementById(\"1113\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
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= 0.20\"],\"1\":[\"R = 0.22\"],\"10\":[\"R = 0.44\"],\"11\":[\"R = 0.48\"],\"12\":[\"R = 0.52\"],\"13\":[\"R = 0.56\"],\"14\":[\"R = 0.60\"],\"15\":[\"R = 0.65\"],\"16\":[\"R = 0.71\"],\"17\":[\"R = 0.77\"],\"18\":[\"R = 0.83\"],\"19\":[\"R = 0.90\"],\"2\":[\"R = 0.23\"],\"20\":[\"R = 0.97\"],\"21\":[\"R = 1.05\"],\"22\":[\"R = 1.14\"],\"23\":[\"R = 1.23\"],\"24\":[\"R = 1.33\"],\"25\":[\"R = 1.44\"],\"26\":[\"R = 1.56\"],\"27\":[\"R = 1.69\"],\"28\":[\"R = 1.83\"],\"29\":[\"R = 1.98\"],\"3\":[\"R = 0.25\"],\"30\":[\"R = 2.14\"],\"31\":[\"R = 2.32\"],\"32\":[\"R = 2.51\"],\"33\":[\"R = 2.71\"],\"34\":[\"R = 2.94\"],\"35\":[\"R = 3.18\"],\"36\":[\"R = 3.44\"],\"37\":[\"R = 3.72\"],\"38\":[\"R = 4.03\"],\"39\":[\"R = 4.36\"],\"4\":[\"R = 0.27\"],\"40\":[\"R = 4.72\"],\"41\":[\"R = 5.11\"],\"42\":[\"R = 5.53\"],\"43\":[\"R = 5.98\"],\"44\":[\"R = 6.47\"],\"45\":[\"R = 7.01\"],\"46\":[\"R = 7.58\"],\"47\":[\"R = 8.21\"],\"48\":[\"R = 8.88\"],\"49\":[\"R = 9.61\"],\"5\":[\"R = 0.30\"],\"50\":[\"R = 10.40\"],\"51\":[\"R = 11.26\"],\"52\":[\"R = 12.18\"],\"53\":[\"R = 13.19\"],\"54\":[\"R = 14.27\"],\"55\":[\"R = 15.44\"],\"56\":[\"R = 16.71\"],\"57\":[\"R = 18.09\"],\"58\":[\"R = 19.58\"],\"59\":[\"R = 21.19\"],\"6\":[\"R = 0.32\"],\"60\":[\"R = 22.93\"],\"61\":[\"R = 24.81\"],\"62\":[\"R = 26.86\"],\"63\":[\"R = 29.06\"],\"64\":[\"R = 31.45\"],\"65\":[\"R = 34.04\"],\"66\":[\"R = 36.84\"],\"67\":[\"R = 39.87\"],\"68\":[\"R = 43.15\"],\"69\":[\"R = 46.70\"],\"7\":[\"R = 0.35\"],\"70\":[\"R = 50.54\"],\"71\":[\"R = 54.69\"],\"72\":[\"R = 59.19\"],\"73\":[\"R = 64.06\"],\"74\":[\"R = 69.33\"],\"75\":[\"R = 75.03\"],\"76\":[\"R = 81.20\"],\"77\":[\"R = 87.88\"],\"78\":[\"R = 95.10\"],\"79\":[\"R = 102.92\"],\"8\":[\"R = 0.38\"],\"80\":[\"R = 111.39\"],\"81\":[\"R = 120.55\"],\"82\":[\"R = 130.46\"],\"83\":[\"R = 141.19\"],\"84\":[\"R = 152.80\"],\"85\":[\"R = 165.37\"],\"86\":[\"R = 178.97\"],\"87\":[\"R = 193.69\"],\"88\":[\"R = 209.61\"],\"89\":[\"R = 226.85\"],\"9\":[\"R = 0.41\"],\"90\":[\"R = 245.51\"],\"91\":[\"R = 265.70\"],\"92\":[\"R = 287.55\"],\"93\":[\"R = 311.20\"],\"94\":[\"R = 336.79\"],\"95\":[\"R = 364.48\"],\"96\":[\"R = 394.46\"],\"97\":[\"R = 426.90\"],\"98\":[\"R = 462.01\"],\"99\":[\"R = 500.00\"]},\"selected\":{\"id\":\"1128\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1127\",\"type\":\"UnionRenderers\"}},\"id\":\"1106\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"dimension\":1,\"ticker\":{\"id\":\"1074\",\"type\":\"BasicTicker\"}},\"id\":\"1077\",\"type\":\"Grid\"},{\"attributes\":{\"callback\":null},\"id\":\"1059\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"1125\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1124\",\"type\":\"Selection\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"#1f77b4\",\"line_width\":3,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1093\",\"type\":\"Line\"},{\"attributes\":{\"text\":{\"field\":\"r_value\"},\"text_align\":\"right\",\"text_font_size\":{\"value\":\"15pt\"},\"x\":{\"value\":0},\"x_offset\":{\"value\":315},\"y\":{\"value\":0.8}},\"id\":\"1107\",\"type\":\"Text\"},{\"attributes\":{},\"id\":\"1064\",\"type\":\"LinearScale\"},{\"attributes\":{\"data_source\":{\"id\":\"1105\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1107\",\"type\":\"Text\"},\"hover_glyph\":null,\"muted_glyph\":null,\"view\":{\"id\":\"1109\",\"type\":\"CDSView\"}},\"id\":\"1108\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"line_alpha\":0.6,\"line_color\":\"#1f77b4\",\"line_width\":3,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1092\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"data\":{\"r_value\":[[\"R = 10.40\"]]},\"selected\":{\"id\":\"1124\",\"type\":\"Selection\"},\"selection_policy\":{\"id\":\"1123\",\"type\":\"UnionRenderers\"}},\"id\":\"1105\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":{\"id\":\"1111\",\"type\":\"CustomJS\"},\"end\":99,\"show_value\":false,\"start\":0,\"title\":\"R\",\"value\":50},\"id\":\"1110\",\"type\":\"Slider\"},{\"attributes\":{\"data_source\":{\"id\":\"1057\",\"type\":\"ColumnDataSource\"},\"glyph\":{\"id\":\"1092\",\"type\":\"Line\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1093\",\"type\":\"Line\"},\"selection_glyph\":null,\"view\":{\"id\":\"1095\",\"type\":\"CDSView\"}},\"id\":\"1094\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1123\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1078\",\"type\":\"PanTool\"},{\"attributes\":{\"source\":{\"id\":\"1105\",\"type\":\"ColumnDataSource\"}},\"id\":\"1109\",\"type\":\"CDSView\"}],\"root_ids\":[\"1112\"]},\"title\":\"Bokeh Application\",\"version\":\"1.4.0\"}};\n",
       "  var render_items = [{\"docid\":\"eb96b607-a5fa-4092-a0c6-7016cf6ef13f\",\"roots\":{\"1112\":\"b40e438a-d534-4f5c-be2f-10e7ca09a1e3\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1112"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "output_file(\"channel_cap.html\", title=\"Channel Capacity\")\n",
    "output_notebook()\n",
    "show(layout)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
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