Function that calculates a commutative cantor pair. The lowest input parameter is assigned to x, the highest to y.

CantorPairCalculator.cs

// C# 10
namespace Helpers;

public static class CantorPairCalculator
{
    /// <summary>Calculates the cantor pair of input parameters a & b
    /// Commutative operation, the lowest input parameter is assigned to x, the highest to y
    /// </summary>
    /// <returns>Returns a cantor pair integer</returns>
    public static int CalculateCommutativeCantorPair(this int a, int b)
    {
        int x;
        int y;

        if (a <= b)
        {
            x = a;
            y = b;
        }
        else
        {
            x = b;
            y = a;
        }

        return (((x + y) * (x + y + 1)) / 2) + y;
    }
}