/// <summary>
/// Compares two doubles and determines if they are equal to within the specified number of decimal places or not. If the numbers
/// are very close to zero an absolute difference is compared, otherwise the relative difference is compared.
/// </summary>
/// <param name="a">The first value.</param>
/// <param name="b">The second value.</param>
/// <param name="decimalPlaces">The number of decimal places.</param>
public static bool AlmostEqualRelative(this Complex a, Complex b, int decimalPlaces)
{
return(AlmostEqualNormRelative(Complex.AbsSquared(a), Complex.AbsSquared(b), Complex.AbsSquared(a - b), decimalPlaces));
}
/// <summary>
/// Compares two complex and determines if they are equal within
/// the specified maximum error.
/// </summary>
/// <param name="a">The first value.</param>
/// <param name="b">The second value.</param>
/// <param name="maximumError">The accuracy required for being almost equal.</param>
public static bool AlmostEqualRelative(this Complex a, Complex b, double maximumError)
{
return(AlmostEqualNormRelative(Complex.AbsSquared(a), Complex.AbsSquared(b), Complex.AbsSquared(a - b), maximumError));
}
/// <summary>
/// Checks whether two Compex numbers are almost equal.
/// </summary>
/// <param name="a">The first number</param>
/// <param name="b">The second number</param>
/// <returns>true if the two values differ by no more than 10 * 2^(-52); false otherwise.</returns>
public static bool AlmostEqualRelative(this Complex a, Complex b)
{
return(AlmostEqualNormRelative(Complex.AbsSquared(a), Complex.AbsSquared(b), Complex.AbsSquared(a - b), DefaultDoubleAccuracy));
}
/// <summary>
/// Compares two complex and determines if they are equal within
/// the specified maximum error.
/// </summary>
/// <param name="a">The first value.</param>
/// <param name="b">The second value.</param>
/// <param name="maximumAbsoluteError">The accuracy required for being almost equal.</param>
public static bool AlmostEqual(this Complex a, Complex b, double maximumAbsoluteError)
{
return(AlmostEqualNorm(Complex.AbsSquared(a), Complex.AbsSquared(b), Complex.AbsSquared(a - b), maximumAbsoluteError));
}
