| 1 | //************************************ bs::framework - Copyright 2018 Marko Pintera **************************************// | 
|---|
| 2 | //*********** Licensed under the MIT license. See LICENSE.md for full terms. This notice is not to be removed. ***********// | 
|---|
| 3 | #pragma once | 
|---|
| 4 |  | 
|---|
| 5 | #include "Utility/BsDynArray.h" | 
|---|
| 6 |  | 
|---|
| 7 | namespace bs | 
|---|
| 8 | { | 
|---|
| 9 | /** @addtogroup General | 
|---|
| 10 | *  @{ | 
|---|
| 11 | */ | 
|---|
| 12 |  | 
|---|
| 13 | /** Nodes for the heap. */ | 
|---|
| 14 | template <class K, class V> | 
|---|
| 15 | struct HeapNode | 
|---|
| 16 | { | 
|---|
| 17 | K key; | 
|---|
| 18 | V value; | 
|---|
| 19 | UINT32 index; | 
|---|
| 20 | }; | 
|---|
| 21 |  | 
|---|
| 22 | /** | 
|---|
| 23 | * Binary tree where each nodes is less than or equal to the data in its node's children. | 
|---|
| 24 | */ | 
|---|
| 25 | template <class K, class V> | 
|---|
| 26 | class MinHeap | 
|---|
| 27 | { | 
|---|
| 28 | public: | 
|---|
| 29 | MinHeap() = default; | 
|---|
| 30 |  | 
|---|
| 31 | MinHeap(const MinHeap<K, V>& other) | 
|---|
| 32 | { | 
|---|
| 33 | *this = other; | 
|---|
| 34 | } | 
|---|
| 35 |  | 
|---|
| 36 | MinHeap(UINT32 elements) | 
|---|
| 37 | { | 
|---|
| 38 | resize(elements); | 
|---|
| 39 | } | 
|---|
| 40 |  | 
|---|
| 41 | MinHeap<K, V>& operator= (const MinHeap<K, V>& other) | 
|---|
| 42 | { | 
|---|
| 43 | mSize = other.mSize; | 
|---|
| 44 | mNode = other.mNode; | 
|---|
| 45 | mPtr.resize(other.mPtr.size()); | 
|---|
| 46 |  | 
|---|
| 47 | for (auto& entry : mNode) | 
|---|
| 48 | mPtr[entry.index] = &entry; | 
|---|
| 49 |  | 
|---|
| 50 | return *this; | 
|---|
| 51 | } | 
|---|
| 52 |  | 
|---|
| 53 | HeapNode<K, V> operator[] (UINT32 index) { return mNode[index]; } | 
|---|
| 54 | const HeapNode<K, V> operator[] (UINT32 index) const { return mNode[index]; } | 
|---|
| 55 |  | 
|---|
| 56 | bool empty() const { return mSize == 0; } | 
|---|
| 57 | UINT32 size() const { return mSize; } | 
|---|
| 58 |  | 
|---|
| 59 | void minimum(K& key, V& value) | 
|---|
| 60 | { | 
|---|
| 61 | assert(mSize > 0); | 
|---|
| 62 |  | 
|---|
| 63 | key = mPtr[0]->key; | 
|---|
| 64 | value = mPtr[0]->value; | 
|---|
| 65 | } | 
|---|
| 66 |  | 
|---|
| 67 | HeapNode<K, V>* insert(const K& key, const V& value) | 
|---|
| 68 | { | 
|---|
| 69 | if (mSize == mNode.size()) | 
|---|
| 70 | return nullptr; | 
|---|
| 71 |  | 
|---|
| 72 | int child = mSize++; | 
|---|
| 73 | HeapNode<K, V>* node = mPtr[child]; | 
|---|
| 74 |  | 
|---|
| 75 | node->key = key; | 
|---|
| 76 | node->value = value; | 
|---|
| 77 |  | 
|---|
| 78 | while (child > 0) | 
|---|
| 79 | { | 
|---|
| 80 | const int parent = (child - 1) / 2; | 
|---|
| 81 |  | 
|---|
| 82 | if (mPtr[parent]->value <= value) | 
|---|
| 83 | break; | 
|---|
| 84 |  | 
|---|
| 85 | mPtr[child] = mPtr[parent]; | 
|---|
| 86 | mPtr[child]->index = child; | 
|---|
| 87 |  | 
|---|
| 88 | mPtr[parent] = node; | 
|---|
| 89 | mPtr[parent]->index = parent; | 
|---|
| 90 |  | 
|---|
| 91 | child = parent; | 
|---|
| 92 | } | 
|---|
| 93 |  | 
|---|
| 94 | return mPtr[child]; | 
|---|
| 95 | } | 
|---|
| 96 |  | 
|---|
| 97 | void erase(K& key, V& value) | 
|---|
| 98 | { | 
|---|
| 99 | assert(mSize > 0); | 
|---|
| 100 |  | 
|---|
| 101 | HeapNode<K, V>* root = mPtr[0]; | 
|---|
| 102 | key = root->key; | 
|---|
| 103 | value = root->value; | 
|---|
| 104 |  | 
|---|
| 105 | const int last = --mSize; | 
|---|
| 106 | HeapNode<K, V>* node = mPtr[last]; | 
|---|
| 107 |  | 
|---|
| 108 | int parent = 0; | 
|---|
| 109 | int child = 1; | 
|---|
| 110 |  | 
|---|
| 111 | while (child <= last) | 
|---|
| 112 | { | 
|---|
| 113 | if (child < last) | 
|---|
| 114 | { | 
|---|
| 115 | const int child2 = child + 1; | 
|---|
| 116 |  | 
|---|
| 117 | if (mPtr[child2]->value < mPtr[child]->value) | 
|---|
| 118 | child = child2; | 
|---|
| 119 | } | 
|---|
| 120 |  | 
|---|
| 121 | if (node->value <= mPtr[child]->value) | 
|---|
| 122 | break; | 
|---|
| 123 |  | 
|---|
| 124 | mPtr[parent] = mPtr[child]; | 
|---|
| 125 | mPtr[parent]->index = parent; | 
|---|
| 126 |  | 
|---|
| 127 | parent = child; | 
|---|
| 128 | child = 2 * child + 1; | 
|---|
| 129 | } | 
|---|
| 130 |  | 
|---|
| 131 | mPtr[parent] = node; | 
|---|
| 132 | mPtr[parent]->index = parent; | 
|---|
| 133 |  | 
|---|
| 134 | mPtr[last] = root; | 
|---|
| 135 | mPtr[last]->index = last; | 
|---|
| 136 | } | 
|---|
| 137 |  | 
|---|
| 138 | void update(HeapNode<K, V>* node, const V& value) | 
|---|
| 139 | { | 
|---|
| 140 | if (!node) | 
|---|
| 141 | return; | 
|---|
| 142 |  | 
|---|
| 143 | int parent = 0; | 
|---|
| 144 | int child = 0; | 
|---|
| 145 | int child2 = 0; | 
|---|
| 146 | int maxChild = 0; | 
|---|
| 147 |  | 
|---|
| 148 | if (node->value < value) | 
|---|
| 149 | { | 
|---|
| 150 | node->value = value; | 
|---|
| 151 | parent = node->index; | 
|---|
| 152 | child = 2 * parent + 1; | 
|---|
| 153 |  | 
|---|
| 154 | while (child < mSize) | 
|---|
| 155 | { | 
|---|
| 156 | child2 = child + 1; | 
|---|
| 157 | if (child2 < mSize) | 
|---|
| 158 | { | 
|---|
| 159 | if (mPtr[child]->value <= mPtr[child2]->value) | 
|---|
| 160 | maxChild = child; | 
|---|
| 161 | else | 
|---|
| 162 | maxChild = child2; | 
|---|
| 163 | } | 
|---|
| 164 | else | 
|---|
| 165 | maxChild = child; | 
|---|
| 166 |  | 
|---|
| 167 | if (value <= mPtr[maxChild]->value) | 
|---|
| 168 | break; | 
|---|
| 169 |  | 
|---|
| 170 | mPtr[parent] = mPtr[maxChild]; | 
|---|
| 171 | mPtr[parent]->index = parent; | 
|---|
| 172 |  | 
|---|
| 173 | mPtr[maxChild] = node; | 
|---|
| 174 | mPtr[maxChild]->index = maxChild; | 
|---|
| 175 |  | 
|---|
| 176 | parent = maxChild; | 
|---|
| 177 | child = 2 * parent + 1; | 
|---|
| 178 | } | 
|---|
| 179 | } | 
|---|
| 180 | else if (value < node->value) | 
|---|
| 181 | { | 
|---|
| 182 | node->value = value; | 
|---|
| 183 | child = node->index; | 
|---|
| 184 |  | 
|---|
| 185 | while (child > 0) | 
|---|
| 186 | { | 
|---|
| 187 | parent = (child - 1) / 2; | 
|---|
| 188 |  | 
|---|
| 189 | if (mPtr[parent]->value <= value) | 
|---|
| 190 | break; | 
|---|
| 191 |  | 
|---|
| 192 | mPtr[child] = mPtr[parent]; | 
|---|
| 193 | mPtr[child]->index = child; | 
|---|
| 194 |  | 
|---|
| 195 | mPtr[parent] = node; | 
|---|
| 196 | mPtr[parent]->index = parent; | 
|---|
| 197 |  | 
|---|
| 198 | child = parent; | 
|---|
| 199 | } | 
|---|
| 200 | } | 
|---|
| 201 | } | 
|---|
| 202 |  | 
|---|
| 203 | void resize(UINT32 elements) | 
|---|
| 204 | { | 
|---|
| 205 | mSize = 0; | 
|---|
| 206 | if (elements > 0) | 
|---|
| 207 | { | 
|---|
| 208 | mNode.resize(elements); | 
|---|
| 209 | mPtr.resize(elements); | 
|---|
| 210 |  | 
|---|
| 211 | for (UINT32 i = 0; i < elements; ++i) | 
|---|
| 212 | { | 
|---|
| 213 | mPtr[i] = &mNode[i]; | 
|---|
| 214 | mPtr[i]->index = i; | 
|---|
| 215 | } | 
|---|
| 216 | } | 
|---|
| 217 | else | 
|---|
| 218 | { | 
|---|
| 219 | mNode.clear(); | 
|---|
| 220 | mPtr.clear(); | 
|---|
| 221 | } | 
|---|
| 222 | } | 
|---|
| 223 |  | 
|---|
| 224 | bool valid() const | 
|---|
| 225 | { | 
|---|
| 226 | for (int i = 0; i < (int)mSize; ++i) | 
|---|
| 227 | { | 
|---|
| 228 | int parent = (i - 1) / 2; | 
|---|
| 229 | if (parent > 0) | 
|---|
| 230 | { | 
|---|
| 231 | if (mPtr[i]->value < mPtr[parent]->value || | 
|---|
| 232 | (int)mPtr[parent]->index != parent) | 
|---|
| 233 | return false; | 
|---|
| 234 | } | 
|---|
| 235 | } | 
|---|
| 236 |  | 
|---|
| 237 | return true; | 
|---|
| 238 | } | 
|---|
| 239 |  | 
|---|
| 240 | private: | 
|---|
| 241 | UINT32 mSize; | 
|---|
| 242 | DynArray<HeapNode<K, V>> mNode; | 
|---|
| 243 | DynArray<HeapNode<K, V>*> mPtr; | 
|---|
| 244 | }; | 
|---|
| 245 |  | 
|---|
| 246 | /** @} */ | 
|---|
| 247 | } | 
|---|