How to resolve the algorithm Sorting algorithms/Heapsort step by step in the Action! programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Sorting algorithms/Heapsort step by step in the Action! 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 Action! programming language
Source code in the action! programming language
;;; HeapSort - tranlsated from the PL/M sample
;;; and using the test cases and test routines from
;;; the Gnome Sort Action! sample (also used in other Action! sort samples)
PROC PrintArray(INT ARRAY a INT size)
INT i
Put('[)
FOR i=0 TO size-1
DO
IF i>0 THEN Put(' ) FI
PrintI(a(i))
OD
Put(']) PutE()
RETURN
PROC SiftDown(INT ARRAY a, INT start, endv)
INT root, child, temp
root = start
child = (root LSH 1) + 1
WHILE child <= endv DO
IF child + 1 <= endv AND a(child) < a(child+1) THEN child==+ 1 FI
IF a(root) < a(child) THEN
temp = a(root)
a(root) = a(child)
a(child) = temp
root = child
child = (root LSH 1) + 1
ELSE
RETURN
FI
OD
RETURN
PROC Heapify(INT ARRAY a, INT count)
INT start
start = ((count-2) / 2) + 1
WHILE start <> 0 DO
start = start - 1
SiftDown(a, start, count-1)
OD
RETURN
PROC HeapSort(INT ARRAY a, INT count)
INT endv, temp
Heapify(a, count)
endv = count - 1
WHILE endv > 0 DO
temp = a(0)
a(0) = a(endv)
a(endv) = temp
endv = endv - 1
SiftDown(a, 0, endv)
OD
RETURN
PROC Test(INT ARRAY a INT size)
PrintE("Array before sort:")
PrintArray(a,size)
HeapSort(a,size)
PrintE("Array after sort:")
PrintArray(a,size)
PutE()
RETURN
PROC Main()
INT ARRAY
a(10)=[1 4 65535 0 3 7 4 8 20 65530],
b(21)=[10 9 8 7 6 5 4 3 2 1 0
65535 65534 65533 65532 65531
65530 65529 65528 65527 65526],
c(8)=[101 102 103 104 105 106 107 108],
d(12)=[1 65535 1 65535 1 65535 1
65535 1 65535 1 65535]
Test(a,10)
Test(b,21)
Test(c,8)
Test(d,12)
RETURN
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