/******************************************************************************************[Heap.h]
MiniSat -- Copyright (c) 2003-2006, Niklas Een, Niklas Sorensson

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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
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**************************************************************************************************/

#ifndef Heap_h
#define Heap_h

#include "Vec.h"
#include <algorithm>

#include "string.h"
#include <limits>
#ifdef _MSC_VER
#include <msvc/stdint.h>
#else
#include <stdint.h>
#endif //_MSC_VER

//=================================================================================================
// A heap implementation with support for decrease/increase key.


template<class Comp>
class Heap {
    Comp     lt;
    vec<uint32_t> heap;     // heap of ints
    vec<uint32_t> indices;  // int -> index in heap

    // Index "traversal" functions
    static inline uint32_t left  (uint32_t i) { return i*2+1; }
    static inline uint32_t right (uint32_t i) { return (i+1)*2; }
    static inline uint32_t parent(uint32_t i) { return (i-1) >> 1; }


    inline void percolateUp(uint32_t i)
    {
        uint32_t 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(uint32_t i)
    {
        uint32_t x = heap[i];
        while (left(i) < heap.size()){
            uint32_t 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 (uint32_t 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) { }
    Heap(const Heap<Comp>& other) : lt(other.lt) {
        heap.growTo(other.heap.size());
        std::copy(other.heap.getData(), other.heap.getDataEnd(), heap.getData());
        indices.growTo(other.indices.size());
        std::copy(other.indices.getData(), other.indices.getDataEnd(), indices.getData());
    }
    
    void operator=(const Heap<Comp>& other)
    {
        if (other.heap.size() > heap.size())
            heap.growTo(other.heap.size());
        else
            heap.shrink(heap.size()-other.heap.size());
        std::copy(other.heap.getData(), other.heap.getDataEnd(), heap.getData());
        
        if (other.indices.size() > indices.size())
            indices.growTo(other.indices.size());
        else
            indices.shrink(indices.size() - other.indices.size());
        std::copy(other.indices.getData(), other.indices.getDataEnd(), indices.getData());
    }

    uint32_t  size      ()          const { return heap.size(); }
    bool empty     ()          const { return heap.size() == 0; }
    bool inHeap    (uint32_t n)     const { return n < indices.size() && indices[n] != std::numeric_limits<uint32_t>::max(); }
    uint32_t  operator[](uint32_t index) const { assert(index < heap.size()); return heap[index]; }

    void decrease  (uint32_t n) { assert(inHeap(n)); percolateUp(indices[n]); }

    // RENAME WHEN THE DEPRECATED INCREASE IS REMOVED.
    void increase_ (uint32_t n) { assert(inHeap(n)); percolateDown(indices[n]); }


    void insert(uint32_t n)
    {
        indices.growTo(n+1, std::numeric_limits<uint32_t>::max());
        assert(!inHeap(n));

        indices[n] = heap.size();
        heap.push(n);
        percolateUp(indices[n]); 
    }


    uint32_t  removeMin()
    {
        uint32_t x            = heap[0];
        heap[0]          = heap.last();
        indices[heap[0]] = 0;
        indices[x]       = std::numeric_limits<uint32_t>::max();
        heap.pop();
        if (heap.size() > 1) percolateDown(0);
        return x; 
    }


    void clear(bool dealloc = false) 
    { 
        for (uint32_t i = 0; i != heap.size(); i++)
            indices[heap[i]] = std::numeric_limits<uint32_t>::max();
#ifndef NDEBUG
        for (uint32_t i = 0; i != indices.size(); i++)
            assert(indices[i] == std::numeric_limits<uint32_t>::max());
#endif
        heap.clear(dealloc); 
    }


    // Fool proof variant of insert/decrease/increase
    void update (uint32_t 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) {
        uint32_t 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]] = std::numeric_limits<uint32_t>::max();

        heap.shrink(i - j);
        for (int i = ((int)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 (uint32_t n) { }
    void increase  (uint32_t n) { decrease(n); }
    uint32_t  getmin    ()      { return removeMin(); }

};


//=================================================================================================
#endif