How to resolve the algorithm Levenshtein distance step by step in the Zig programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Levenshtein distance step by step in the Zig programming language

Table of Contents

Problem Statement

In information theory and computer science, the Levenshtein distance is a metric for measuring the amount of difference between two sequences (i.e. an edit distance). The Levenshtein distance between two strings is defined as the minimum number of edits needed to transform one string into the other, with the allowable edit operations being insertion, deletion, or substitution of a single character.

The Levenshtein distance between "kitten" and "sitting" is 3, since the following three edits change one into the other, and there isn't a way to do it with fewer than three edits:

The Levenshtein distance between   "rosettacode",   "raisethysword"   is   8. The distance between two strings is same as that when both strings are reversed.

Implements a Levenshtein distance function, or uses a library function, to show the Levenshtein distance between   "kitten"   and   "sitting".

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Levenshtein distance step by step in the Zig programming language

Source code in the zig programming language

const std = @import("std");

fn levenshtein(s: []const u8, t: []const u8) usize {
    // If either string is empty, difference is inserting all chars
    // from the other
    if (s.len == 0) return t.len;
    if (t.len == 0) return s.len;

    // If last letters are the same, the difference is whatever is
    // required to edit the rest of the strings
    if (s[s.len - 1] == t[t.len - 1])
        return levenshtein(s[0 .. s.len - 1], t[0 .. t.len - 1]);

    // Else try:
    //     changing last letter of s to that of t; or
    //     remove last letter of s; or
    //     remove last letter of t,
    // any of which is 1 edit plus editing the rest of the strings
    const a = levenshtein(s[0 .. s.len - 1], t[0 .. t.len - 1]);
    const b = levenshtein(s, t[0 .. t.len - 1]);
    const c = levenshtein(s[0 .. s.len - 1], t);

    return @min(a, b, c) + 1;
}

pub fn main() std.fs.File.WriteError!void {
    const stdout = std.io.getStdOut();
    const stdout_w = stdout.writer();

    const s1 = "rosettacode";
    const s2 = "raisethysword";
    try stdout_w.print("distance between '{s}' and '{s}': {d}\n", .{ s1, s2, levenshtein(s1, s2) });
    return;
}

  

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