Gapotchenko.FX.Math.Geometry 2022.2.7 Prefix Reserved

Overview

The module provides primitives and operations for geometry math.

StringMetrics

StringMetrics static class provides a variety of metric functions for measuring the distance between two strings of symbols.

The notion of a string is purely abstract. So it is not limited to just characters like System.String; it can be a string of anything in form of IEnumerable<T>. In this way, Gapotchenko.FX.Math.Geometry module achieves the right degree of abstraction desirable for a versatile math toolkit.

Edit Distance

Edit distance is a string metric reflecting the minimum number of operations required to transform one string into the other. There are several ways to measure the edit distance.

The table below compares edit distance measurement functions provided by StringMetrics class:

Levenshtein Distance

StringMetrics.LevenshteinDistance method allows to calculate the Levenshtein distance between two strings of symbols.

Consider the example:

using Gapotchenko.FX.Math.Geometry;

int distance = StringMetrics.LevenshteinDistance("ABC", "BAC");
Console.WriteLine("Distance is {0}.", distance);  // distance = 2

Longest Common Subsequence (LCS) Distance

StringMetrics.LcsDistance method allows to calculate the longest common subsequence (LCS) distance between two strings of symbols.

Consider the example:

using Gapotchenko.FX.Math.Geometry;

int distance = StringMetrics.LcsDistance("ABC", "BAC");
Console.WriteLine("Distance is {0}.", distance);  // distance = 2

Hamming Distance

StringMetrics.HammingDistance method allows to calculate the Hamming distance between two strings of symbols.

Consider the example:

using Gapotchenko.FX.Math.Geometry;

int distance = StringMetrics.HammingDistance("ABC", "BAC");
Console.WriteLine("Distance is {0}.", distance);  // distance = 2

Damerau-Levenshtein Distance

StringMetrics.DamerauLevenshteinDistance method allows to calculate the Damerau–Levenshtein distance between two strings of symbols.

Consider the example:

using Gapotchenko.FX.Math.Geometry;

int distance = StringMetrics.DamerauLevenshteinDistance("ABC", "BAC");
Console.WriteLine("Distance is {0}.", distance);  // distance = 1

Optimal String Alignment (OSA) Distance

StringMetrics.OsaDistance method allows to calculate the optimal string alignment (OSA) distance between two strings of symbols.

Consider the example:

using Gapotchenko.FX.Math.Geometry;

int distance = StringMetrics.OsaDistance("ABC", "BAC");
Console.WriteLine("Distance is {0}.", distance);  // distance = 1

Jaro Distance

StringMetrics.JaroDistance method allows to calculate the Jaro distance between two strings of symbols.

Although the Jaro distance is often referred to as an edit distance metric, its value does not represent a number of edit operations and varies between 0 and 1 such that 0 is an exact match and 1 equates to no similarities.

Consider the example:

using Gapotchenko.FX.Math.Geometry;

double distance = StringMetrics.JaroDistance("ABC", "BAC");
Console.WriteLine("Distance is {0.00}.", distance);  // distance = 0.44

Commonly Used Types

• Gapotchenko.FX.Math.Geometry.StringMetrics

Other Modules

Let's continue with a look at some other modules provided by Gapotchenko.FX:

• Gapotchenko.FX
• Gapotchenko.FX.AppModel.Information
• Gapotchenko.FX.Collections
• Gapotchenko.FX.Console
• Gapotchenko.FX.Data
• Gapotchenko.FX.Diagnostics
• Gapotchenko.FX.IO
• Gapotchenko.FX.Linq
• Gapotchenko.FX.Math
  • Gapotchenko.FX.Math.Combinatorics
  • ➴ Gapotchenko.FX.Math.Geometry
  • Gapotchenko.FX.Math.Topology
• Gapotchenko.FX.Memory
• Gapotchenko.FX.Security.Cryptography
• Gapotchenko.FX.Text
• Gapotchenko.FX.Threading

Or look at the full list of modules.