How to resolve the algorithm Sorting algorithms/Bead sort step by step in the XPL0 programming language

Published on 12 May 2024 09:40 PM
#Xpl0

How to resolve the algorithm Sorting algorithms/Bead sort step by step in the XPL0 programming language

Table of Contents

Problem Statement

Sort an array of positive integers using the Bead Sort Algorithm. A   bead sort   is also known as a   gravity sort.

Algorithm has   O(S),   where   S   is the sum of the integers in the input set:   Each bead is moved individually. This is the case when bead sort is implemented without a mechanism to assist in finding empty spaces below the beads, such as in software implementations.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Sorting algorithms/Bead sort step by step in the XPL0 programming language

Source code in the xpl0 programming language

include c:\cxpl\codes;

proc BeadSort(Array, Length);   \Sort Array into increasing order
int  Array, Length;             \Array contents range 0..31; number of items
int  Row, I, J, T, C;
[Row:= Reserve(Length*4);       \each Row has room for 32 beads
for I:= 0 to Length-1 do        \each Row gets Array(I) number of beads
    Row(I):= ~-1<
for J:= 1 to Length-1 do
    for I:= Length-1 downto J do
        [T:= Row(I-1) & ~Row(I); \up to 31 beads fall in a single pass
        Row(I-1):= Row(I-1) | T; \(|=xor, !=or)
        Row(I):= Row(I) | T;
        ];
for I:= 0 to Length-1 do        \count beads in each Row
    [C:= 0;  T:= Row(I);
    while T do
        [if T&1 then C:= C+1;  T:= T>>1];
    Array(I):= C;               \count provides sorted order
    ];
];

int A, I;
[A:= [3, 1, 4, 1, 25, 9, 2, 6, 5, 0];
BeadSort(A, 10);
for I:= 0 to 10-1 do [IntOut(0, A(I));  ChOut(0, ^ )];
]

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