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# sort_heap

Sorts the heap (it is no longer a heap after the call)
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### Key Facts

Gyroscopic Couple: The rate of change of angular momentum () = (In the limit).
• = Moment of Inertia.
• = Angular velocity
• = Angular velocity of precession.

Blaise Pascal (1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.

Leonhard Euler (1707-1783) was a pioneering Swiss mathematician and physicist.

## Definition

The sort_heap() algorithm is defined in the standard header <algorithm> and in the nonstandard backward-compatibility header <algo.h>.

## Interface

#include <algorithm>
template < class RandomAccessIterator >
void sort_heap(
RandomAccessIterator first,
RandomAccessIterator last
);
template < class RandomAccessIterator, class Predicate >
void sort_heap(
RandomAccessIterator first,
RandomAccessIterator last,
Predicate comp
);

Parameters:
Parameter Description
first A random-access iterator addressing the position of the first element in the target heap
last A random-access iterator addressing the position one past the final element in the target heap
comp User-defined predicate function object that defines sense in which one element is less than another. A binary predicate takes two arguments and returns true when satisfied and false when not satisfied

## Description

Sort_heap function converts a heap into a sorted range (ascending order). It does the same thing than doing a pop_heap on the heap until no more element is in the heap.

The first version compares objects using operator< and the second compares objects using a function object comp.

None.

## Complexity

Performs at most (last - first)*log(last - first) comparisons.

### References

Example:
##### Example - sort_heap algorithm
Problem
This program illustrates the use of the STL sort_heap() algorithm (default version) to sort a (maximum) heap of integers into ascending order.
Workings
#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

int main()
{
int a[] = {100, 19, 36, 17, 3, 25, 1, 2, 7};
vector<int> v(a, a+9);

cout <<"\nHere are the values in the heap:\n";
for (vector<int>::size_type i=0; i<v.size(); i++)
cout <<v.at(i)<<" ";

cout <<"\nNow we sort these values into ascending order.";
sort_heap(v.begin(), v.end());

cout <<"\nHere is the result:\n";
for (vector<int>::size_type i=0; i<v.size(); i++)
cout <<v.at(i)<<" ";
Solution
Output:

Here are the values in the heap:
100 19 36 17 3 25 1 2 7

Now we sort these values into ascending order.

Here is the result:
1 2 3 7 17 19 25 36 100
References