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

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


pop_heap

 
Header
<algorithm>

template<class RandomAccessIterator> inline
void pop_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 make_heap function converts the range [first..last) into a heap. he pop_heap function swaps the first and last elements in the heap specified by [first, last), then reduces the length of the sequence by one before restoring the heap property. The non-predicate versions of the heap functions use the operator< for comparisons.

template<class RandomAccessIterator, class Compare> inline
void pop_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 make_heap function converts the range [first..last) into a heap. The pop_heap function swaps the first and last elements in the heap specified by [first, last), then reduces the length of the sequence by one before restoring the heap property. 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  }