|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": 35, |
| 6 | + "id": "destroyed-ground", |
| 7 | + "metadata": {}, |
| 8 | + "outputs": [], |
| 9 | + "source": [ |
| 10 | + "from abc import ABC, abstractmethod\n", |
| 11 | + "import bisect" |
| 12 | + ] |
| 13 | + }, |
| 14 | + { |
| 15 | + "cell_type": "code", |
| 16 | + "execution_count": 5, |
| 17 | + "id": "matched-tract", |
| 18 | + "metadata": {}, |
| 19 | + "outputs": [], |
| 20 | + "source": [ |
| 21 | + "class BPlusTreeNode(ABC):\n", |
| 22 | + " def __init__(self, kvstore = None, is_leaf = False):\n", |
| 23 | + " self._kvstore = kvstore if kvstore else []\n", |
| 24 | + " self._is_leaf = is_leaf\n", |
| 25 | + " \n", |
| 26 | + " \n", |
| 27 | + " def delete(self, key):\n", |
| 28 | + " idx = -1\n", |
| 29 | + " for i, tup in enumerate(self._kvstore):\n", |
| 30 | + " k, _ = tup\n", |
| 31 | + " if k == key:\n", |
| 32 | + " idx = i\n", |
| 33 | + " if idx != -1:\n", |
| 34 | + " del self._kvstore[idx]\n", |
| 35 | + " \n", |
| 36 | + " \n", |
| 37 | + " def find(self, key):\n", |
| 38 | + " # TODO: Use binary search here instead;\n", |
| 39 | + " # look into using bisect.bisect_left\n", |
| 40 | + " for k,v in self._kvstore:\n", |
| 41 | + " if k == key:\n", |
| 42 | + " return (k,v)\n", |
| 43 | + " return None\n", |
| 44 | + "\n", |
| 45 | + " \n", |
| 46 | + " def order(self):\n", |
| 47 | + " return len(self._kvstore) \n", |
| 48 | + "\n", |
| 49 | + " def insert(self, key_or_tuple, value=None):\n", |
| 50 | + " \"\"\"\n", |
| 51 | + " TODO: Maybe we should implement this in the child classes\n", |
| 52 | + " since \n", |
| 53 | + " \"\"\"\n", |
| 54 | + " if isinstance(key_or_tuple, tuple) and value is None:\n", |
| 55 | + " key, value = key_or_tuple\n", |
| 56 | + " elif not isinstance(key_or_tuple, tuple) and value is not None:\n", |
| 57 | + " key = key_or_tuple\n", |
| 58 | + " else:\n", |
| 59 | + " raise TypeError(\"Invalid arguments: insert() takes either a tuple or a key-value pair\")\n", |
| 60 | + " self._kvstore.append((key, value))\n", |
| 61 | + " self._kvstore.sort()\n", |
| 62 | + " \n", |
| 63 | + " \n", |
| 64 | + " @abstractmethod\n", |
| 65 | + " def is_leaf(self):\n", |
| 66 | + " pass" |
| 67 | + ] |
| 68 | + }, |
| 69 | + { |
| 70 | + "cell_type": "code", |
| 71 | + "execution_count": 10, |
| 72 | + "id": "cardiac-techno", |
| 73 | + "metadata": {}, |
| 74 | + "outputs": [], |
| 75 | + "source": [ |
| 76 | + "class BPlusTreeInternalNode(BPlusTreeNode):\n", |
| 77 | + " def __init__(self):\n", |
| 78 | + " super().__init__()\n", |
| 79 | + " \n", |
| 80 | + " def is_leaf(self):\n", |
| 81 | + " return False\n", |
| 82 | + "\n", |
| 83 | + "#############\n", |
| 84 | + "### Tests ###\n", |
| 85 | + "#############\n", |
| 86 | + "node = BPlusTreeInternalNode()\n", |
| 87 | + "node1 = BPlusTreeInternalNode()\n", |
| 88 | + "node2 = BPlusTreeInternalNode()\n", |
| 89 | + "node3 = BPlusTreeInternalNode()\n", |
| 90 | + "node4 = BPlusTreeInternalNode()\n", |
| 91 | + "\n", |
| 92 | + "node.insert(20, node1)\n", |
| 93 | + "node.insert(10, node2)\n", |
| 94 | + "node.insert((30, node3))\n", |
| 95 | + "node.insert(2, node4)\n", |
| 96 | + "assert node._kvstore == [(2, node4), (10, node2), (20, node1), (30, node3)]\n", |
| 97 | + "assert node.order() == 4\n", |
| 98 | + "assert node.find(10) == (10, node2)\n", |
| 99 | + "assert not node.is_leaf()\n", |
| 100 | + "node.delete(2)\n", |
| 101 | + "assert node._kvstore == [(10, node2), (20, node1), (30, node3)]" |
| 102 | + ] |
| 103 | + }, |
| 104 | + { |
| 105 | + "cell_type": "code", |
| 106 | + "execution_count": 13, |
| 107 | + "id": "instructional-final", |
| 108 | + "metadata": {}, |
| 109 | + "outputs": [], |
| 110 | + "source": [ |
| 111 | + "class BPlusTreeLeafNode(BPlusTreeNode):\n", |
| 112 | + " def __init__(self, next_leaf = None, prev_leaf = None):\n", |
| 113 | + " super().__init__()\n", |
| 114 | + " self._next_leaf = next_leaf\n", |
| 115 | + " self._prev_leaf = prev_leaf\n", |
| 116 | + "\n", |
| 117 | + " def insert(self, key_or_tuple, value=None):\n", |
| 118 | + " if isinstance(key_or_tuple, tuple) and value is None:\n", |
| 119 | + " key, value = key_or_tuple\n", |
| 120 | + " elif not isinstance(key_or_tuple, tuple) and value is not None:\n", |
| 121 | + " key = key_or_tuple\n", |
| 122 | + " else:\n", |
| 123 | + " raise TypeError(\"Invalid arguments: insert() takes either a tuple or a key-value pair\")\n", |
| 124 | + " self._kvstore.append((key, value))\n", |
| 125 | + " self._kvstore.sort()\n", |
| 126 | + " \n", |
| 127 | + " def is_leaf(self):\n", |
| 128 | + " return True\n", |
| 129 | + " \n", |
| 130 | + " def set_next_leaf(self, next_leaf):\n", |
| 131 | + " self._next_leaf = next_leaf\n", |
| 132 | + " \n", |
| 133 | + " def get_next_leaf(self):\n", |
| 134 | + " return self._next_leaf\n", |
| 135 | + "\n", |
| 136 | + " def set_prev_leaf(self, prev_leaf):\n", |
| 137 | + " self._prev_leaf = prev_leaf\n", |
| 138 | + " \n", |
| 139 | + " def get_prev_leaf(self):\n", |
| 140 | + " return self._prev_leaf\n", |
| 141 | + "\n", |
| 142 | + "\n", |
| 143 | + "#############\n", |
| 144 | + "### Tests ###\n", |
| 145 | + "#############\n", |
| 146 | + "node = BPlusTreeLeafNode()\n", |
| 147 | + "node.insert(20, \"bob\")\n", |
| 148 | + "node.insert(10, \"alice\")\n", |
| 149 | + "node.insert((30, \"cathy\"))\n", |
| 150 | + "node.insert(2, \"doug\")\n", |
| 151 | + "assert node._kvstore == [(2, 'doug'), (10, 'alice'), (20, 'bob'), (30, 'cathy')]\n", |
| 152 | + "assert node.order() == 4\n", |
| 153 | + "assert node.find(10) == (10, 'alice')\n", |
| 154 | + "assert node.is_leaf()\n", |
| 155 | + "node.delete(2)\n", |
| 156 | + "assert node._kvstore == [(10, 'alice'), (20, 'bob'), (30, 'cathy')]\n", |
| 157 | + "\n", |
| 158 | + "node0 = BPlusTreeLeafNode()\n", |
| 159 | + "for i in range(10):\n", |
| 160 | + " node0.insert((i, f\"boomer{i}\"))\n", |
| 161 | + "node2 = BPlusTreeLeafNode()\n", |
| 162 | + "for i in range(10):\n", |
| 163 | + " node2.insert((i, f\"coomer{i}\"))\n", |
| 164 | + "\n", |
| 165 | + "node.set_prev_leaf(node0)\n", |
| 166 | + "assert node.get_prev_leaf() == node0\n", |
| 167 | + "node.set_next_leaf(node2)\n", |
| 168 | + "assert node.get_next_leaf() == node2\n" |
| 169 | + ] |
| 170 | + }, |
| 171 | + { |
| 172 | + "cell_type": "code", |
| 173 | + "execution_count": 46, |
| 174 | + "id": "rotary-storage", |
| 175 | + "metadata": {}, |
| 176 | + "outputs": [], |
| 177 | + "source": [ |
| 178 | + "class BPlusTree:\n", |
| 179 | + " \"\"\"\n", |
| 180 | + " B-tree, but with some constraints:\n", |
| 181 | + " - Keys can only be stored in leaf nodes\n", |
| 182 | + " - All nodes but root must be half-full to maintain balance\n", |
| 183 | + " - Leaf nodes connected via pointers (for traverse())\n", |
| 184 | + " - All records stored in leaf nodes\n", |
| 185 | + " \"\"\"\n", |
| 186 | + " def __init__(self, order, root = None):\n", |
| 187 | + " self._root = BTreeNode() if root == None else root\n", |
| 188 | + " self._order = order\n", |
| 189 | + " \n", |
| 190 | + " def insert(self, key):\n", |
| 191 | + " pass\n", |
| 192 | + " \n", |
| 193 | + " def delete(self, key):\n", |
| 194 | + " pass\n", |
| 195 | + " \n", |
| 196 | + " def find(self, key):\n", |
| 197 | + " pass\n", |
| 198 | + " \n", |
| 199 | + " def traverse(self):\n", |
| 200 | + " pass\n", |
| 201 | + " \n", |
| 202 | + " def range_query(self, start_key, end_key):\n", |
| 203 | + " pass\n", |
| 204 | + " \n", |
| 205 | + " def load(self):\n", |
| 206 | + " pass\n", |
| 207 | + "\n", |
| 208 | + "#############\n", |
| 209 | + "### Tests ###\n", |
| 210 | + "#############\n" |
| 211 | + ] |
| 212 | + } |
| 213 | + ], |
| 214 | + "metadata": { |
| 215 | + "kernelspec": { |
| 216 | + "display_name": "Python 3", |
| 217 | + "language": "python", |
| 218 | + "name": "python3" |
| 219 | + }, |
| 220 | + "language_info": { |
| 221 | + "codemirror_mode": { |
| 222 | + "name": "ipython", |
| 223 | + "version": 3 |
| 224 | + }, |
| 225 | + "file_extension": ".py", |
| 226 | + "mimetype": "text/x-python", |
| 227 | + "name": "python", |
| 228 | + "nbconvert_exporter": "python", |
| 229 | + "pygments_lexer": "ipython3", |
| 230 | + "version": "3.9.16" |
| 231 | + } |
| 232 | + }, |
| 233 | + "nbformat": 4, |
| 234 | + "nbformat_minor": 5 |
| 235 | +} |
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