170 lines
		
	
	
		
			5.2 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
		
		
			
		
	
	
			170 lines
		
	
	
		
			5.2 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
|   | /******************************************************************************************[Heap.h]
 | ||
|  | MiniSat -- Copyright (c) 2003-2006, Niklas Een, Niklas Sorensson | ||
|  | 
 | ||
|  | 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. | ||
|  | **************************************************************************************************/ | ||
|  | 
 | ||
|  | #ifndef Heap_h
 | ||
|  | #define Heap_h
 | ||
|  | 
 | ||
|  | #include "Vec.h"
 | ||
|  | 
 | ||
|  | //=================================================================================================
 | ||
|  | // A heap implementation with support for decrease/increase key.
 | ||
|  | 
 | ||
|  | 
 | ||
|  | template<class Comp> | ||
|  | class Heap { | ||
|  |     Comp     lt; | ||
|  |     vec<int> heap;     // heap of ints
 | ||
|  |     vec<int> indices;  // int -> index in heap
 | ||
|  | 
 | ||
|  |     // Index "traversal" functions
 | ||
|  |     static inline int left  (int i) { return i*2+1; } | ||
|  |     static inline int right (int i) { return (i+1)*2; } | ||
|  |     static inline int parent(int i) { return (i-1) >> 1; } | ||
|  | 
 | ||
|  | 
 | ||
|  |     inline void percolateUp(int i) | ||
|  |     { | ||
|  |         int x = heap[i]; | ||
|  |         while (i != 0 && lt(x, heap[parent(i)])){ | ||
|  |             heap[i]          = heap[parent(i)]; | ||
|  |             indices[heap[i]] = i; | ||
|  |             i                = parent(i); | ||
|  |         } | ||
|  |         heap   [i] = x; | ||
|  |         indices[x] = i; | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     inline void percolateDown(int i) | ||
|  |     { | ||
|  |         int x = heap[i]; | ||
|  |         while (left(i) < heap.size()){ | ||
|  |             int child = right(i) < heap.size() && lt(heap[right(i)], heap[left(i)]) ? right(i) : left(i); | ||
|  |             if (!lt(heap[child], x)) break; | ||
|  |             heap[i]          = heap[child]; | ||
|  |             indices[heap[i]] = i; | ||
|  |             i                = child; | ||
|  |         } | ||
|  |         heap   [i] = x; | ||
|  |         indices[x] = i; | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     bool heapProperty (int i) const { | ||
|  |         return i >= heap.size() | ||
|  |             || ((i == 0 || !lt(heap[i], heap[parent(i)])) && heapProperty(left(i)) && heapProperty(right(i))); } | ||
|  | 
 | ||
|  | 
 | ||
|  |   public: | ||
|  |     Heap(const Comp& c) : lt(c) { } | ||
|  | 
 | ||
|  |     int  size      ()          const { return heap.size(); } | ||
|  |     bool empty     ()          const { return heap.size() == 0; } | ||
|  |     bool inHeap    (int n)     const { return n < indices.size() && indices[n] >= 0; } | ||
|  |     int  operator[](int index) const { assert(index < heap.size()); return heap[index]; } | ||
|  | 
 | ||
|  |     void decrease  (int n) { assert(inHeap(n)); percolateUp(indices[n]); } | ||
|  | 
 | ||
|  |     // RENAME WHEN THE DEPRECATED INCREASE IS REMOVED.
 | ||
|  |     void increase_ (int n) { assert(inHeap(n)); percolateDown(indices[n]); } | ||
|  | 
 | ||
|  | 
 | ||
|  |     void insert(int n) | ||
|  |     { | ||
|  |         indices.growTo(n+1, -1); | ||
|  |         assert(!inHeap(n)); | ||
|  | 
 | ||
|  |         indices[n] = heap.size(); | ||
|  |         heap.push(n); | ||
|  |         percolateUp(indices[n]);  | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     int  removeMin() | ||
|  |     { | ||
|  |         int x            = heap[0]; | ||
|  |         heap[0]          = heap.last(); | ||
|  |         indices[heap[0]] = 0; | ||
|  |         indices[x]       = -1; | ||
|  |         heap.pop(); | ||
|  |         if (heap.size() > 1) percolateDown(0); | ||
|  |         return x;  | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     void clear(bool dealloc = false)  | ||
|  |     {  | ||
|  |         for (int i = 0; i < heap.size(); i++) | ||
|  |             indices[heap[i]] = -1; | ||
|  | #ifdef NDEBUG
 | ||
|  |         for (int i = 0; i < indices.size(); i++) | ||
|  |             assert(indices[i] == -1); | ||
|  | #endif
 | ||
|  |         heap.clear(dealloc);  | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     // Fool proof variant of insert/decrease/increase
 | ||
|  |     void update (int n) | ||
|  |     { | ||
|  |         if (!inHeap(n)) | ||
|  |             insert(n); | ||
|  |         else { | ||
|  |             percolateUp(indices[n]); | ||
|  |             percolateDown(indices[n]); | ||
|  |         } | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     // Delete elements from the heap using a given filter function (-object).
 | ||
|  |     // *** this could probaly be replaced with a more general "buildHeap(vec<int>&)" method ***
 | ||
|  |     template <class F> | ||
|  |     void filter(const F& filt) { | ||
|  |         int i,j; | ||
|  |         for (i = j = 0; i < heap.size(); i++) | ||
|  |             if (filt(heap[i])){ | ||
|  |                 heap[j]          = heap[i]; | ||
|  |                 indices[heap[i]] = j++; | ||
|  |             }else | ||
|  |                 indices[heap[i]] = -1; | ||
|  | 
 | ||
|  |         heap.shrink(i - j); | ||
|  |         for (int i = heap.size() / 2 - 1; i >= 0; i--) | ||
|  |             percolateDown(i); | ||
|  | 
 | ||
|  |         assert(heapProperty()); | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     // DEBUG: consistency checking
 | ||
|  |     bool heapProperty() const { | ||
|  |         return heapProperty(1); } | ||
|  | 
 | ||
|  | 
 | ||
|  |     // COMPAT: should be removed
 | ||
|  |     void setBounds (int n) { } | ||
|  |     void increase  (int n) { decrease(n); } | ||
|  |     int  getmin    ()      { return removeMin(); } | ||
|  | 
 | ||
|  | }; | ||
|  | 
 | ||
|  | 
 | ||
|  | //=================================================================================================
 | ||
|  | #endif
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