/// <summary>
/// Returns the absolute value of a <see cref="Posit32"/> number.
/// </summary>
/// <param name="x">A number that is greater than or equal to MinValue, but less than or equal to MaxValue.</param>
/// <returns>A <see cref="Posit32"/> number, x, such that 0 ≤ x ≤ MaxValue.</returns>
public static Posit32 Abs(Posit32 x)
{
unchecked
{
const int CHAR_BIT = 8;
// http://graphics.stanford.edu/~seander/bithacks.html#IntegerAbs
var mask = (int)x.ui >> sizeof(uint) * CHAR_BIT - 1;
var result = ((int)x.ui ^ mask) - mask;
return(new Posit32(result));
}
}
/// <summary>
/// Returns an integer that indicates the sign of a <see cref="Posit32"/> number.
/// </summary>
/// <param name="x">A signed number.</param>
/// <returns>A number that indicates the sign of <paramref name="x"/></returns>
public static int Sign(Posit32 x)
{
if ((x.ui & ~Posit32.SignMask) == 0)
{
return(0); // Zero or NaR
}
if ((x.ui & Posit32.SignMask) != 0)
{
return(-1); // Negative
}
return(1);
}
public DebugProxy(Posit32 value)
: this(value.ui, Posit32.nbits, Posit32.es)
{
}
/// <summary>
/// Returns the square root of a specified number.
/// </summary>
/// <param name="x">The number whose square root is to be found.</param>
/// <returns>One of the values in the following table.
/// <list type="table">
/// <listheader>
/// <term><paramref name="x"/> parameter</term>
/// <term>Return value</term>
/// </listheader>
/// <item>
/// <term>Zero or positive</term>
/// <term>The positive square root of <paramref name="x"/>.</term>
/// </item>
/// <item>
/// <term>Negative</term>
/// <term>NaR</term>
/// </item>
/// <item>
/// <term>NaR</term>
/// <term>NaR</term>
/// </item>
/// </list>
/// </returns>
public static Posit32 Sqrt(Posit32 x)
{
return(p32_sqrt(x));
}
/// <summary>
/// Returns a value with the magnitude of <paramref name="x"/> and the sign of <paramref name="y"/>.
/// </summary>
/// <param name="x">A number whose magnitude is used in the result.</param>
/// <param name="y">A number whose sign is the used in the result.</param>
/// <returns>A value with the magnitude of <paramref name="x"/> and the sign of <paramref name="y"/>.</returns>
public static Posit32 CopySign(Posit32 x, Posit32 y)
{
return(((x.ui ^ y.ui) & Posit32.SignMask) == 0 ? x : -x);
}
public static bool IsZeroOrNaR(Posit32 p)
{
return((p.ui & (Posit32.SignMask - 1)) == 0);
}
public static bool IsNegative(Posit32 p) => (int)p.ui < 0;
public static bool IsInfinity(Posit32 p) => p.ui == Posit32.Infinity.ui;
public static bool IsNaR(Posit32 p) => p.ui == Posit32.NaR.ui;
public static bool IsOne(Posit32 p) => p.ui == Posit32.One.ui;
public static bool IsZero(Posit32 p) => p.ui == Posit32.Zero.ui;