How to resolve the algorithm Thue-Morse step by step in the Go programming language

Published on 12 May 2024 09:40 PM
#Go

How to resolve the algorithm Thue-Morse step by step in the Go programming language

Table of Contents

Problem Statement

Create a Thue-Morse sequence.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Thue-Morse step by step in the Go programming language

This Go program prints the first few members of the Thue-Morse sequence. The Thue-Morse sequence is an infinite binary sequence defined by the following rules:

  • The first term of the sequence is "0".
  • Each subsequent term is obtained by appending the complement of the previous term.
  • That is, if the previous term is "0", the next term is "1". If the previous term is "1", the next term is "0".

The program uses a bytes.Buffer to store the current term of the sequence. The nextTMSequenceMember function takes a bytes.Buffer and modifies it to contain the next term of the sequence. It does this by iterating over the current term and adding the complement of each byte to the buffer.

The main function initializes the bytes.Buffer with the first term of the sequence, "0". It then calls the nextTMSequenceMember function seven times to generate the first seven terms of the sequence. The terms are printed to the console using the fmt.Println function.

The output of the program is as follows:

0
01
0110
01101001
0110100110010110
01101001100101101001011001100101
011010011001011010010110011001011001011001100101101001011001100101

Source code in the go programming language

// prints the first few members of the Thue-Morse sequence

package main

import (
    "fmt"
    "bytes"
)

// sets tmBuffer to the next member of the Thue-Morse sequence
// tmBuffer must contain a valid Thue-Morse sequence member before the call
func nextTMSequenceMember( tmBuffer * bytes.Buffer ) {
    // "flip" the bytes, adding them to the buffer
    for b, currLength, currBytes := 0, tmBuffer.Len(), tmBuffer.Bytes() ; b < currLength; b ++ {
        if currBytes[ b ] == '1' {
            tmBuffer.WriteByte( '0' )
        } else {
            tmBuffer.WriteByte( '1' )
        }
    }
}
    
func main() {
    var tmBuffer bytes.Buffer
    // initial sequence member is "0"
    tmBuffer.WriteByte( '0' )
    fmt.Println( tmBuffer.String() )
    for i := 2; i <= 7; i ++ {
        nextTMSequenceMember( & tmBuffer )
        fmt.Println( tmBuffer.String() )
    }
}


  

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