Multiplication.ipynb

{
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       "(function(root) {\n",
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       "\n",
       "  var force = true;\n",
       "\n",
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       "\n",
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       "     \"<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",
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       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
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       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
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       "\n",
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       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
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       "\n",
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       "    element.appendChild(document.createTextNode(css));\n",
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       "  var css_urls = [];\n",
       "  \n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
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       "  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",
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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(null);\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(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; 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Application\",\"version\":\"2.3.2\"}};\n",
       "  var render_items = [{\"docid\":\"a294ee3c-5421-4bff-9063-5cd9d266f541\",\"root_ids\":[\"7309\"],\"roots\":{\"7309\":\"853f8e78-5a08-48b2-b15d-be3f85f08d1b\"}}];\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": "7309"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "from bokeh.io import show, output_file\n",
    "from bokeh.plotting import figure\n",
    "from bokeh.models import GraphRenderer, StaticLayoutProvider\n",
    "from bokeh.io import show, output_notebook\n",
    "from bokeh.layouts import column,row\n",
    "output_notebook(hide_banner=True)\n",
    "\n",
    "\n",
    "N = 360\n",
    "tablede=242\n",
    "node_indices = list(range(N))\n",
    "\n",
    "plot = figure(title='Multiplication Modulo', x_range=(-1.2,1.2), y_range=(-1.2,1.2))\n",
    "plot.axis.visible = False\n",
    "plot.xgrid.visible = False\n",
    "plot.ygrid.visible = False\n",
    "\n",
    "graph = GraphRenderer()\n",
    "graph.node_renderer.data_source.add(node_indices, 'index')\n",
    "\n",
    "graph.edge_renderer.data_source.data = dict(start=[0]*N, end=node_indices)\n",
    "\n",
    "circ = [i*2*math.pi/N for i in node_indices]\n",
    "x = [math.cos(i) for i in circ]\n",
    "y = [math.sin(i) for i in circ]\n",
    "\n",
    "pstart,pend=[],[]\n",
    "for i in range(1,N+1):\n",
    "    pstart.append(i)\n",
    "    pend.append(i*tablede%N)\n",
    "        \n",
    "graph_layout = dict(zip(node_indices, zip(x, y)))\n",
    "graph.layout_provider = StaticLayoutProvider(graph_layout=graph_layout)\n",
    "\n",
    "graph.edge_renderer.data_source.data['start']=pstart\n",
    "graph.edge_renderer.data_source.data['end']=pend\n",
    "plot.renderers.append(graph)\n",
    "show(plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "db88c1e3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
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 },
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}