Floating-point number comparer

DoubleComparer.cs

readonly Comparer<Double> doubleComparer = Comparer<Double>.Create((x, y) =>
{
    long firstValue = BitConverter.DoubleToInt64Bits(x);
    long secondValue = BitConverter.DoubleToInt64Bits(y);
    
    // Compare the bit-sign
    if (firstValue >> 63 != secondValue >> 63)
        return firstValue == secondValue ? 0 : firstValue.CompareTo(secondValue);

    long difference = Math.Abs(firstValue - secondValue);

    // Is within the margin of precision loss?
    return difference <= 1 ? 0 : firstValue.CompareTo(secondValue);
});