How to resolve the algorithm Sorting algorithms/Heapsort step by step in the FreeBASIC programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Sorting algorithms/Heapsort step by step in the FreeBASIC programming language
Table of Contents
Problem Statement
Heapsort is an in-place sorting algorithm with worst case and average complexity of O(n logn). The basic idea is to turn the array into a binary heap structure, which has the property that it allows efficient retrieval and removal of the maximal element. We repeatedly "remove" the maximal element from the heap, thus building the sorted list from back to front. A heap sort requires random access, so can only be used on an array-like data structure. Pseudocode:
Write a function to sort a collection of integers using heapsort.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Sorting algorithms/Heapsort step by step in the FreeBASIC programming language
Source code in the freebasic programming language
' version 22-10-2016
' compile with: fbc -s console
' for boundary checks on array's compile with: fbc -s console -exx
' sort from lower bound to the higher bound
' array's can have subscript range from -2147483648 to +2147483647
Sub siftdown(hs() As Long, start As ULong, end_ As ULong)
Dim As ULong root = start
Dim As Long lb = LBound(hs)
While root * 2 + 1 <= end_
Dim As ULong child = root * 2 + 1
If (child + 1 <= end_) AndAlso (hs(lb + child) < hs(lb + child + 1)) Then
child = child + 1
End If
If hs(lb + root) < hs(lb + child) Then
Swap hs(lb + root), hs(lb + child)
root = child
Else
Return
End If
Wend
End Sub
Sub heapsort(hs() As Long)
Dim As Long lb = LBound(hs)
Dim As ULong count = UBound(hs) - lb + 1
Dim As Long start = (count - 2) \ 2
Dim As ULong end_ = count - 1
While start >= 0
siftdown(hs(), start, end_)
start = start - 1
Wend
While end_ > 0
Swap hs(lb + end_), hs(lb)
end_ = end_ - 1
siftdown(hs(), 0, end_)
Wend
End Sub
' ------=< MAIN >=------
Dim As Long array(-7 To 7)
Dim As Long i, lb = LBound(array), ub = UBound(array)
Randomize Timer
For i = lb To ub : array(i) = i : Next
For i = lb To ub
Swap array(i), array(Int(Rnd * (ub - lb + 1)) + lb)
Next
Print "Unsorted"
For i = lb To ub
Print Using " ###"; array(i);
Next : Print : Print
heapsort(array())
Print "After heapsort"
For i = lb To ub
Print Using " ###"; array(i);
Next : Print
' empty keyboard buffer
While Inkey <> "" : Wend
Print : Print "hit any key to end program"
Sleep
End
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