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Algorithm sort heap - A heap is a sequence of elements organized like a binary tree

Algorithm sort heap - A heap is a sequence of elements organized like a binary tree


sort_heap
	

Header
<algorithm>

template<class RandomAccessIterator> inline
void sort_heap(RandomAccessIterator first, RandomAccessIterator last)

A heap is a sequence of elements organized like a binary tree. Each heap element corresponds to a tree node. The first value in the sequence [first..last) is the root, and is the largest value in the heap. Every element in the heap satisfies the following: Every element is less than or equal to its parent. The largest element is stored in the root, and all children hold progressively smaller values. The sort_heap function sorts a "heapified" sequence that was created using the make_heap function. The non-predicate versions of the heap functions use the operator< for comparisons.

template<class RandomAccessIterator, class Compare> inline
void sort_heap(RandomAccessIterator first, RandomAccessIterator last, Compare compare)

A heap is a sequence of elements organized like a binary tree. Each heap element corresponds to a tree node. The first value in the sequence [first..last) is the root, and is ordered by the predicate. For example, if the predicate is greater, every element in the heap satisfies the following: Every element is greater than or equal to its parent. The smallest element is stored in the root, and all children hold progressively larger values. The sort_heap function sorts a "heapified" sequence that was created using the make_heap function. The predicate versions of the heap functions use the compare function for comparisons.


Samples
Sample for Non-Predicate Version

// disable warning C4786: symbol greater than 255 character,
// okay to ignore
#pragma warning(disable: 4786)

#include <iostream>
#include <algorithm>
#include <functional>
#include <vector>

using namespace std;


void main()
{
    const int VECTOR_SIZE = 8 ;

    // Define a template class vector of int
    typedef vector<int > IntVector ;

    //Define an iterator for template class vector of strings
    typedef IntVector::iterator IntVectorIt ;

    IntVector Numbers(VECTOR_SIZE) ;

    IntVectorIt it ;

    // Initialize vector Numbers
    Numbers[0] = 4 ;
    Numbers[1] = 10;
    Numbers[2] = 70 ;
    Numbers[3] = 10 ;
    Numbers[4] = 30 ;
    Numbers[5] = 69 ;
    Numbers[6] = 96 ;
    Numbers[7] = 100;

    // print content of Numbers
    cout << "Numbers { " ;
    for(it = Numbers.begin(); it != Numbers.end(); it++)
        cout << *it << " " ;
    cout << " }\n" << endl ;

    // convert Numbers into a heap
    make_heap(Numbers.begin(), Numbers.end()) ;

    cout << "After calling make_heap\n" << endl ;

    // print content of Numbers
    cout << "Numbers { " ;
    for(it = Numbers.begin(); it != Numbers.end(); it++)
        cout << *it << " " ;
    cout << " }\n" << endl ;

    // sort the heapified sequence Numbers
    sort_heap(Numbers.begin(), Numbers.end()) ;

    cout << "After calling sort_heap\n" << endl ;

    // print content of Numbers
    cout << "Numbers { " ;
    for(it = Numbers.begin(); it != Numbers.end(); it++)
        cout << *it << " " ;
    cout << " }\n" << endl ;

    //insert an element in the heap
    Numbers.push_back(7) ;
    push_heap(Numbers.begin(), Numbers.end()) ;

    // you need to call make_heap to re-assert the
    // heap property
    make_heap(Numbers.begin(), Numbers.end()) ;

    cout << "After calling push_heap and make_heap\n" << endl ;

    // print content of Numbers
    cout << "Numbers { " ;
    for(it = Numbers.begin(); it != Numbers.end(); it++)
        cout << *it << " " ;
    cout << " }\n" << endl ;

    // remove the root element from the heap Numbers
    pop_heap(Numbers.begin(), Numbers.end()) ;

    cout << "After calling pop_heap\n" << endl ;

    // print content of Numbers
    cout << "Numbers { " ;
    for(it = Numbers.begin(); it != Numbers.end(); it++)
        cout << *it << " " ;
    cout << " }\n" << endl ;
}

Program Output

Numbers { 4 10 70 10 30 69 96 100  }

After calling make_heap

Numbers { 100 30 96 10 4 69 70 10  }

After calling sort_heap

Numbers { 4 10 10 30 69 70 96 100  }

After calling push_heap and make_heap

Numbers { 100 69 96 30 4 70 10 10 7  }

After calling pop_heap

Numbers { 96 69 70 30 4 7 10 10 100  }

Sample for Predicate Version

// disable warning C4786: symbol greater than 255 character,
// okay to ignore
#pragma warning(disable: 4786)

#include <iostream>
#include <algorithm>
#include <functional>
#include <vector>

using namespace std;


void main()
{
   const int VECTOR_SIZE = 8 ;

   // Define a template class vector of int
   typedef vector<int > IntVector ;

   //Define an iterator for template class vector of strings
   typedef IntVector::iterator IntVectorIt ;

   IntVector Numbers(VECTOR_SIZE) ;
   IntVectorIt it ;

   // Initialize vector Numbers
   Numbers[0] = 4 ;
   Numbers[1] = 10;
   Numbers[2] = 70 ;
   Numbers[3] = 10 ;
   Numbers[4] = 30 ;
   Numbers[5] = 69 ;
   Numbers[6] = 96 ;
   Numbers[7] = 100;

   // print content of Numbers
   cout << "Numbers { " ;
   for(it = Numbers.begin(); it != Numbers.end(); it++)
      cout << *it << " " ;
   cout << " }\n" << endl ;

   // convert Numbers into a heap
   make_heap(Numbers.begin(), Numbers.end(), greater<int>()) ;
   cout << "After calling make_heap\n" << endl ;

   // print content of Numbers
   cout << "Numbers { " ;
   for(it = Numbers.begin(); it != Numbers.end(); it++)
      cout << *it << " " ;
   cout << " }\n" << endl ;

   // sort the heapified sequence Numbers
   sort_heap(Numbers.begin(), Numbers.end(), greater<int>()) ;
   cout << "After calling sort_heap\n" << endl ;

   // print content of Numbers
   cout << "Numbers { " ;
   for(it = Numbers.begin(); it != Numbers.end(); it++)
      cout << *it << " " ;
   cout << " }\n" << endl ;

   make_heap(Numbers.begin(), Numbers.end(), greater<int>()) ;
   //insert an element in the heap
   Numbers.push_back(7) ;
   push_heap(Numbers.begin(), Numbers.end(), greater<int>()) ;
   cout << "After calling push_heap()\n" << endl;

   // print content of Numbers
   cout << "Numbers { " ;
   for(it = Numbers.begin(); it != Numbers.end(); it++)
      cout << *it << " " ;
   cout << " }\n" << endl ;

   //remove the root element from the heap Numbers
   pop_heap(Numbers.begin(), Numbers.end(), greater<int>()) ;
   cout << "After calling pop_heap\n" << endl ;

   // print content of Numbers
   cout << "Numbers { " ;
   for(it = Numbers.begin(); it != Numbers.end(); it++)
      cout << *it << " " ;
   cout << " }\n" << endl ;
}

Program Output

Numbers { 4 10 70 10 30 69 96 100  }

After calling make_heap
Numbers { 4 10 69 10 30 70 96 100  }

After calling sort_heap
Numbers { 100 96 70 69 30 10 10 4  }

After calling push_heap()
Numbers { 4 7 10 30 100 10 70 96 69  }

After calling pop_heap
Numbers { 7 30 10 69 100 10 70 96 4  }