public static XMVector Inverse(XMVector q)
{
XMVector zero = XMVector.Zero;
XMVector l = XMVector4.LengthSquare(q);
XMVector conjugate = XMQuaternion.Conjugate(q);
XMVector control = XMVector.LessOrEqual(l, XMGlobalConstants.Epsilon);
XMVector result = XMVector.Divide(conjugate, l);
result = XMVector.Select(result, zero, control);
return(result);
}
public static XMVector ClampLengthV(XMVector v, XMVector lengthMin, XMVector lengthMax)
{
Debug.Assert(lengthMin.Y == lengthMin.X && lengthMin.Z == lengthMin.X && lengthMin.W == lengthMin.X, "Reviewed");
Debug.Assert(lengthMax.Y == lengthMax.X && lengthMax.Z == lengthMax.X && lengthMax.W == lengthMax.X, "Reviewed");
Debug.Assert(XMVector4.GreaterOrEqual(lengthMin, XMGlobalConstants.Zero), "Reviewed");
Debug.Assert(XMVector4.GreaterOrEqual(lengthMax, XMGlobalConstants.Zero), "Reviewed");
Debug.Assert(XMVector4.GreaterOrEqual(lengthMax, lengthMin), "Reviewed");
XMVector lengthSq = XMVector4.LengthSquare(v);
XMVector zero = XMVector.Zero;
XMVector reciprocalLength = lengthSq.ReciprocalSqrt();
XMVector infiniteLength = XMVector.EqualInt(lengthSq, XMGlobalConstants.Infinity);
XMVector zeroLength = XMVector.Equal(lengthSq, zero);
XMVector normal = XMVector.Multiply(v, reciprocalLength);
XMVector length = XMVector.Multiply(lengthSq, reciprocalLength);
XMVector select = XMVector.EqualInt(infiniteLength, zeroLength);
length = XMVector.Select(lengthSq, length, select);
normal = XMVector.Select(lengthSq, normal, select);
XMVector controlMax = XMVector.Greater(length, lengthMax);
XMVector controlMin = XMVector.Less(length, lengthMin);
XMVector clampLength = XMVector.Select(length, lengthMax, controlMax);
clampLength = XMVector.Select(clampLength, lengthMin, controlMin);
XMVector result = XMVector.Multiply(normal, clampLength);
// Preserve the original vector (with no precision loss) if the length falls within the given range
XMVector control = XMVector.EqualInt(controlMax, controlMin);
result = XMVector.Select(result, v, control);
return(result);
}
public static XMVector Length(XMVector v)
{
return(XMVector4
.LengthSquare(v)
.Sqrt());
}
public static XMVector ReciprocalLength(XMVector v)
{
return(XMVector4
.LengthSquare(v)
.ReciprocalSqrt());
}
public static XMVector LengthSquare(XMVector q)
{
return(XMVector4.LengthSquare(q));
}