{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"from bokeh.plotting import figure, show, output_notebook\n",
"from bokeh.io import push_notebook\n",
"from time import sleep"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## algorithm"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class Node:\n",
" def __init__(self, value, left=None, right=None, red=False):\n",
" self.value = value\n",
" self.left = left\n",
" self.right = right\n",
" self.red = red\n",
"\n",
" @staticmethod\n",
" def red(node):\n",
" return node and node.red\n",
"\n",
" def rotate_left(self):\n",
" if not Node.red(self.left) and Node.red(self.right):\n",
" child = self.right\n",
" self.right, child.left = child.left, self\n",
" self.red, child.red = True, self.red\n",
" return child\n",
" else:\n",
" return self\n",
"\n",
" def rotate_right(self):\n",
" if Node.red(self.left) and Node.red(self.left.left):\n",
" child = self.left\n",
" self.left, child.right = child.right, self\n",
" self.red, child.red = True, self.red\n",
" return child\n",
" else:\n",
" return self\n",
" \n",
" def flip_colors(self):\n",
" if Node.red(self.left) and Node.red(self.right):\n",
" self.red, self.left.red, self.right.red = True, False, False"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def insert(node, value, root=True):\n",
" if not node:\n",
" return Node(value, red=not root)\n",
" \n",
" # insert value\n",
" if value == node.value:\n",
" pass\n",
" elif value < node.value:\n",
" node.left = insert(node.left, value, root=False)\n",
" else:\n",
" node.right = insert(node.right, value, root=False)\n",
" \n",
" # update tree w.r.t invariants\n",
" node = node.rotate_left()\n",
" node = node.rotate_right()\n",
" node.flip_colors()\n",
"\n",
" # keep root black\n",
" if root:\n",
" node.red = False\n",
"\n",
" return node"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def draw(node, red, black, xlo=0, xhi=1, x=.5, y=0):\n",
" if node:\n",
" x_, y_ = (xlo + xhi) / 2, y - 1\n",
" (red if node.red else black).append([x, y, x_, y_])\n",
" draw(node.left, red, black, xlo, x_, x_, y_)\n",
" draw(node.right, red, black, x_, xhi, x_, y_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## run"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# insert few values\n",
"root = None\n",
"for i in range(5):\n",
" root = insert(root, i)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
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" <span id=\"a9a47e6b-6413-432b-b807-c046ca5ab7d7\">Loading BokehJS ...</span>\n",
" </div>"
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"output_type": "display_data"
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"data": {
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" }\n",
"\n",
" var NB_LOAD_WARNING = {'data': {'text/html':\n",
" \"<div style='background-color: #fdd'>\\n\"+\n",
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" \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
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" \"output_notebook(resources=INLINE)\\n\"+\n",
" \"</code>\\n\"+\n",
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"\n",
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" }\n",
"\n",
" function run_callbacks() {\n",
" window._bokeh_onload_callbacks.forEach(function(callback) { callback() });\n",
" delete window._bokeh_onload_callbacks\n",
" console.info(\"Bokeh: all callbacks have finished\");\n",
" }\n",
"\n",
" function load_libs(js_urls, callback) {\n",
" window._bokeh_onload_callbacks.push(callback);\n",
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" console.log(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
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" }\n",
"\n",
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" var inline_js = [\n",
" function(Bokeh) {\n",
" Bokeh.set_log_level(\"info\");\n",
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" \n",
" function(Bokeh) {\n",
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" },\n",
" \n",
" function(Bokeh) {\n",
" \n",
" document.getElementById(\"a9a47e6b-6413-432b-b807-c046ca5ab7d7\").textContent = \"BokehJS is loading...\";\n",
" },\n",
" function(Bokeh) {\n",
" console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n",
" Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-0.12.5.min.css\");\n",
" console.log(\"Bokeh: injecting CSS: https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n",
" Bokeh.embed.inject_css(\"https://cdn.pydata.org/bokeh/release/bokeh-widgets-0.12.5.min.css\");\n",
" }\n",
" ];\n",
"\n",
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" display_loaded();\n",
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" console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
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"\n",
" }\n",
"\n",
" if (window._bokeh_is_loading === 0) {\n",
" console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
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" load_libs(js_urls, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
" run_inline_js();\n",
" });\n",
" }\n",
"}(this));"
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"data": {
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" </div>\n",
"<script type=\"text/javascript\">\n",
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" window._bokeh_timeout = Date.now() + 0;\n",
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" }\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",
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" var el = document.getElementById(\"ca4eb2b8-c88c-4939-a230-5423bb145dd1\");\n",
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" } else if (Date.now() < window._bokeh_timeout) {\n",
" setTimeout(display_loaded, 100)\n",
" }\n",
" }if ((window.Jupyter !== undefined) && Jupyter.notebook.kernel) {\n",
" comm_manager = Jupyter.notebook.kernel.comm_manager\n",
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" }\n",
" \n",
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" var render_items = [{\"docid\":\"7e51c6e8-3db5-42d4-8860-04923019c30f\",\"elementid\":\"ca4eb2b8-c88c-4939-a230-5423bb145dd1\",\"modelid\":\"2740cf73-4c85-44b5-ad78-c42d9796781f\",\"notebook_comms_target\":\"b1d503c4-c1b2-4fbd-9039-315f5f05adc3\"}];\n",
" \n",
" Bokeh.embed.embed_items(docs_json, render_items);\n",
" };\n",
" if (document.readyState != \"loading\") fn();\n",
" else document.addEventListener(\"DOMContentLoaded\", fn);\n",
" })();\n",
" },\n",
" function(Bokeh) {\n",
" }\n",
" ];\n",
" \n",
" function run_inline_js() {\n",
" \n",
" if ((window.Bokeh !== undefined) || (force === true)) {\n",
" for (var i = 0; i < inline_js.length; i++) {\n",
" inline_js[i](window.Bokeh);\n",
" }if (force === true) {\n",
" display_loaded();\n",
" }} else if (Date.now() < window._bokeh_timeout) {\n",
" setTimeout(run_inline_js, 100);\n",
" } else if (!window._bokeh_failed_load) {\n",
" console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
" window._bokeh_failed_load = true;\n",
" } else if (force !== true) {\n",
" var cell = $(document.getElementById(\"ca4eb2b8-c88c-4939-a230-5423bb145dd1\")).parents('.cell').data().cell;\n",
" cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
" }\n",
" \n",
" }\n",
" \n",
" if (window._bokeh_is_loading === 0) {\n",
" console.log(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
" run_inline_js();\n",
" } else {\n",
" load_libs(js_urls, function() {\n",
" console.log(\"Bokeh: BokehJS plotting callback run at\", now());\n",
" run_inline_js();\n",
" });\n",
" }\n",
" }(this));\n",
"</script>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"output_notebook()\n",
"\n",
"# get plot data\n",
"red, black = [], []\n",
"draw(root, red, black)\n",
"\n",
"# plot\n",
"plot = figure(plot_height=400, plot_width=800)\n",
"plot.axis.visible = False\n",
"plot.grid.visible = False\n",
"\n",
"red_segment = plot.segment(*zip(*red), color='#ff0000')\n",
"black_segment = plot.segment(*zip(*black), color='#000000')\n",
"\n",
"handle = show(plot, notebook_handle=True)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for _ in range(100):\n",
" for i in np.random.randint(0, 1000, 5):\n",
" root = insert(root, i)\n",
"\n",
" red, black = [], []\n",
" draw(root, red, black)\n",
"\n",
" x0, y0, x1, y1 = red and zip(*red) or [tuple()] * 4\n",
" red_segment.data_source.data.update({\n",
" 'x0': x0, 'y0': y0, 'x1': x1, 'y1': y1\n",
" })\n",
" x0, y0, x1, y1 = black and zip(*black) or [tuple()] * 4\n",
" black_segment.data_source.data.update({\n",
" 'x0': x0, 'y0': y0, 'x1': x1, 'y1': y1\n",
" })\n",
"\n",
" push_notebook()\n",
" sleep(.1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}