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- /****************************************************************************
- * Copyright (c) 2017 snowcold
- * Copyright (c) 2017 liangxie
- *
- * http://qframework.io
- * https://github.com/liangxiegame/QFramework
- *
- * Permission is hereby granted, free of charge, to any person obtaining a copy
- * of this software and associated documentation files (the "Software"), to deal
- * in the Software without restriction, including without limitation the rights
- * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
- * copies of the Software, and to permit persons to whom the Software is
- * furnished to do so, subject to the following conditions:
- *
- * The above copyright notice and this permission notice shall be included in
- * all copies or substantial portions of the Software.
- *
- * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
- * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
- * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
- * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
- * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
- * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
- * THE SOFTWARE.
- ****************************************************************************/
- namespace QFramework
- {
- using System;
- public enum BinaryHeapBuildMode
- {
- kNLog = 1,
- kN = 2,
- }
- public enum BinaryHeapSortMode
- {
- kMin = 0,
- kMax = 1,
- }
- //优先队列&二叉堆
- public class BinaryHeap<T> where T : IBinaryHeapElement
- {
- protected T[] mArray;
- protected float mGrowthFactor = 1.6f;
- protected int mLastChildIndex; //最后子节点的位置
- protected BinaryHeapSortMode mSortMode;
- public BinaryHeap(int minSize, BinaryHeapSortMode sortMode)
- {
- mSortMode = sortMode;
- mArray = new T[minSize];
- mLastChildIndex = 0;
- }
- public BinaryHeap(T[] dataArray, BinaryHeapSortMode sortMode)
- {
- mSortMode = sortMode;
- int minSize = 10;
- if (dataArray != null)
- {
- minSize = dataArray.Length + 1;
- }
- mArray = new T[minSize];
- mLastChildIndex = 0;
- Insert(dataArray, BinaryHeapBuildMode.kN);
- }
- #region 公开方法
- #region 清空
- public void Clear()
- {
- mArray = new T[10];
- mLastChildIndex = 0;
- }
- #endregion
- #region 插入
- public void Insert(T[] dataArray, BinaryHeapBuildMode buildMode)
- {
- if (dataArray == null)
- {
- throw new NullReferenceException("BinaryHeap Not Support Insert Null Object");
- }
- int totalLength = mLastChildIndex + dataArray.Length + 1;
- if (mArray.Length < totalLength)
- {
- ResizeArray(totalLength);
- }
- if (buildMode == BinaryHeapBuildMode.kNLog)
- {
- //方式1:直接添加,每次添加都会上浮
- for (int i = 0; i < dataArray.Length; ++i)
- {
- Insert(dataArray[i]);
- }
- }
- else
- {
- //数量比较大的情况下会快一些
- //方式2:先添加完,然后排序
- for (int i = 0; i < dataArray.Length; ++i)
- {
- mArray[++mLastChildIndex] = dataArray[i];
- }
- SortAsCurrentMode();
- }
- }
- public void Insert(T element)
- {
- if (element == null)
- {
- throw new NullReferenceException("BinaryHeap Not Support Insert Null Object");
- }
- int index = ++mLastChildIndex;
- if (index == mArray.Length)
- {
- ResizeArray();
- }
- mArray[index] = element;
- ProcolateUp(index);
- }
- #endregion
- #region 弹出
- public T Pop()
- {
- if (mLastChildIndex < 1)
- {
- return default(T);
- }
- T result = mArray[1];
- mArray[1] = mArray[mLastChildIndex--];
- ProcolateDown(1);
- return result;
- }
- public T Top()
- {
- if (mLastChildIndex < 1)
- {
- return default(T);
- }
- return mArray[1];
- }
- #endregion
- #region 重新排序
- public void Sort(BinaryHeapSortMode sortMode)
- {
- if (mSortMode == sortMode)
- {
- return;
- }
- mSortMode = sortMode;
- SortAsCurrentMode();
- }
- public void RebuildAtIndex(int index)
- {
- if (index > mLastChildIndex)
- {
- return;
- }
- //1.首先找父节点,是否比父节点小,如果满足则上浮,不满足下沉
- var element = mArray[index];
- int parentIndex = index >> 1;
- if (parentIndex > 0)
- {
- if (mSortMode == BinaryHeapSortMode.kMin)
- {
- if (element.SortScore < mArray[parentIndex].SortScore)
- {
- ProcolateUp(index);
- }
- else
- {
- ProcolateDown(index);
- }
- }
- else
- {
- if (element.SortScore > mArray[parentIndex].SortScore)
- {
- ProcolateUp(index);
- }
- else
- {
- ProcolateDown(index);
- }
- }
- }
- else
- {
- ProcolateDown(index);
- }
- }
- private void SortAsCurrentMode()
- {
- int startChild = mLastChildIndex >> 1;
- for (int i = startChild; i > 0; --i)
- {
- ProcolateDown(i);
- }
- }
- #endregion
- #region 指定位置删除
- public void RemoveAt(int index)
- {
- if (index > mLastChildIndex || index < 1)
- {
- return;
- }
- if (index == mLastChildIndex)
- {
- --mLastChildIndex;
- mArray[index] = default(T);
- return;
- }
- mArray[index] = mArray[mLastChildIndex--];
- mArray[index].HeapIndex = index;
- RebuildAtIndex(index);
- }
- #endregion
- #region 索引查找
- //这个索引和大小排序之间没有任何关系
- public T GetElement(int index)
- {
- if (index > mLastChildIndex)
- {
- return default(T);
- }
- return mArray[index];
- }
- #endregion
- #region 判定辅助
- public bool HasValue()
- {
- return mLastChildIndex > 0;
- }
- #endregion
- #region 内部方法
- protected void ResizeArray(int newSize = -1)
- {
- if (newSize < 0)
- {
- newSize = System.Math.Max(mArray.Length + 4, (int) System.Math.Round(mArray.Length * mGrowthFactor));
- }
- if (newSize > 1 << 30)
- {
- throw new System.Exception(
- "Binary Heap Size really large (2^18). A heap size this large is probably the cause of pathfinding running in an infinite loop. " +
- "\nRemove this check (in BinaryHeap.cs) if you are sure that it is not caused by a bug");
- }
- T[] tmp = new T[newSize];
- for (int i = 0; i < mArray.Length; i++)
- {
- tmp[i] = mArray[i];
- }
- mArray = tmp;
- }
- //上浮:空穴思想
- protected void ProcolateUp(int index)
- {
- var element = mArray[index];
- if (element == null)
- {
- return;
- }
- float sortScore = element.SortScore;
- int parentIndex = index >> 1;
- if (mSortMode == BinaryHeapSortMode.kMin)
- {
- while (parentIndex >= 1 && sortScore < mArray[parentIndex].SortScore)
- {
- mArray[index] = mArray[parentIndex];
- mArray[index].HeapIndex = index;
- index = parentIndex;
- parentIndex = index >> 1;
- }
- }
- else
- {
- while (parentIndex >= 1 && sortScore > mArray[parentIndex].SortScore)
- {
- mArray[index] = mArray[parentIndex];
- mArray[index].HeapIndex = index;
- index = parentIndex;
- parentIndex = index >> 1;
- }
- }
- mArray[index] = element;
- mArray[index].HeapIndex = index;
- }
- protected void ProcolateDown(int index)
- {
- var element = mArray[index];
- if (element == null)
- {
- return;
- }
- int childIndex = index << 1;
- if (mSortMode == BinaryHeapSortMode.kMin)
- {
- while (childIndex <= mLastChildIndex)
- {
- if (childIndex != mLastChildIndex)
- {
- if (mArray[childIndex + 1].SortScore < mArray[childIndex].SortScore)
- {
- childIndex = childIndex + 1;
- }
- }
- if (mArray[childIndex].SortScore < element.SortScore)
- {
- mArray[index] = mArray[childIndex];
- mArray[index].HeapIndex = index;
- }
- else
- {
- break;
- }
- index = childIndex;
- childIndex = index << 1;
- }
- }
- else
- {
- while (childIndex <= mLastChildIndex)
- {
- if (childIndex != mLastChildIndex)
- {
- if (mArray[childIndex + 1].SortScore > mArray[childIndex].SortScore)
- {
- childIndex = childIndex + 1;
- }
- }
- if (mArray[childIndex].SortScore > element.SortScore)
- {
- mArray[index] = mArray[childIndex];
- mArray[index].HeapIndex = index;
- }
- else
- {
- break;
- }
- index = childIndex;
- childIndex = index << 1;
- }
- }
- mArray[index] = element;
- mArray[index].HeapIndex = index;
- }
- #endregion
- #endregion
- }
- }
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