How to resolve the algorithm Sorting algorithms/Bead sort step by step in the Go programming language
How to resolve the algorithm Sorting algorithms/Bead sort step by step in the Go 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 Go programming language
The provided Go program implements a bead sort algorithm to sort an array of integers a
.
The Bead sort is a sorting algorithm that simulates the process of using an abacus to perform sorting.
Implementation Details:
-
Setup:
aMax
defines the maximum value for the abacus poles (default is 1000).all
slice represents the entire space of the abacus (aMax * len(a) bytes).abacus
is a slice of byte slices, each representing a pole on the abacus.
-
Bead Placement:
- Concurrently, beads (represented by the ASCII character 'o') are placed on the abacus poles for each number in
a
. - The number of beads placed on a pole represents the value of the number.
- Concurrently, beads (represented by the ASCII character 'o') are placed on the abacus poles for each number in
-
Bead Falling:
- Again concurrently, beads are allowed to fall on each pole to the bottom.
- A
sync.WaitGroup
is used to wait for all beads to finish falling.
-
Sorting:
- Beads are read out row by row to determine the sorted values.
- The number of beads on a row (starting from the bottom) represents the sorted value.
-
Final Result:
- The sorted array is stored back in
a
.
- The sorted array is stored back in
Explanation of the Algorithm:
- Bead sort is a non-comparative sorting algorithm. Instead of comparing elements, it uses the concept of an abacus to sort.
- Each element is represented by a stack of beads on an abacus pole.
- The number of beads on a pole represents the value of the element.
- By allowing the beads to fall down the poles, beads are sorted in ascending order based on their weight (number of beads).
- The sorted values are then read out row by row to obtain the final sorted array.
Concurrency:
The program uses concurrency (goroutines and sync.WaitGroup
) to perform the bead placement and falling operations concurrently, improving performance.
Conclusion: The bead sort algorithm is an interesting and efficient non-comparative sorting approach. The provided Go program effectively demonstrates the implementation of this algorithm, leveraging concurrency for improved performance.
Source code in the go programming language
package main
import (
"fmt"
"sync"
)
var a = []int{170, 45, 75, 90, 802, 24, 2, 66}
var aMax = 1000
const bead = 'o'
func main() {
fmt.Println("before:", a)
beadSort()
fmt.Println("after: ", a)
}
func beadSort() {
// All space in the abacus = aMax poles x len(a) rows.
all := make([]byte, aMax*len(a))
// Slice up space by pole. (The space could be sliced by row instead,
// but slicing by pole seemed a more intuitive model of a physical abacus.)
abacus := make([][]byte, aMax)
for pole, space := 0, all; pole < aMax; pole++ {
abacus[pole] = space[:len(a)]
space = space[len(a):]
}
// Use a sync.Waitgroup as the checkpoint mechanism.
var wg sync.WaitGroup
// Place beads for each number concurrently. (Presumably beads can be
// "snapped on" to the middle of a pole without disturbing neighboring
// beads.) Also note 'row' here is a row of the abacus.
wg.Add(len(a))
for row, n := range a {
go func(row, n int) {
for pole := 0; pole < n; pole++ {
abacus[pole][row] = bead
}
wg.Done()
}(row, n)
}
wg.Wait()
// Now tip the abacus, letting beads fall on each pole concurrently.
wg.Add(aMax)
for _, pole := range abacus {
go func(pole []byte) {
// Track the top of the stack of beads that have already fallen.
top := 0
for row, space := range pole {
if space == bead {
// Move each bead individually, but move it from its
// starting row to the top of stack in a single operation.
// (More physical simulation such as discovering the top
// of stack by inspection, or modeling gravity, are
// possible, but didn't seem called for by the task.
pole[row] = 0
pole[top] = bead
top++
}
}
wg.Done()
}(pole)
}
wg.Wait()
// Read out sorted numbers by row.
for row := range a {
x := 0
for pole := 0; pole < aMax && abacus[pole][row] == bead; pole++ {
x++
}
a[len(a)-1-row] = x
}
}
You may also check:How to resolve the algorithm Thue-Morse step by step in the PowerShell programming language
You may also check:How to resolve the algorithm Case-sensitivity of identifiers step by step in the Sather programming language
You may also check:How to resolve the algorithm Strip control codes and extended characters from a string step by step in the zkl programming language
You may also check:How to resolve the algorithm Extend your language step by step in the Ada programming language
You may also check:How to resolve the algorithm Window creation step by step in the Toka programming language