/// <summary>
/// 球形插值
/// </summary>
/// <param name="start"></param>
/// <param name="end"></param>
/// <param name="percent"></param>
/// <returns></returns>
public static VInt3 Slerp(VInt3 start, VInt3 end, VFactor percent)
{
if (percent == VFactor.zero)
{
return(start);
}
else if (percent == VFactor.one)
{
return(end);
}
long den = start.magnitude * end.magnitude;
VFactor dot = new VFactor((long)Dot(ref start, ref end), den);
VFactor angle = IntMath.acos(dot.nom, dot.den);
VFactor theta = angle * percent;
VInt3 RelativeVec = end - start * dot;
RelativeVec.NormalizeTo(Precision);
VFactor sin_theta, cos_thera;
IntMath.sincos(out sin_theta, out cos_thera, theta);
return(start * cos_thera + RelativeVec * sin_theta);
}
public static VFactor AngleInt(VInt3 lhs, VInt3 rhs)
{
long den = (long)lhs.magnitude * (long)rhs.magnitude;
return(IntMath.acos((long)VInt3.Dot(ref lhs, ref rhs), den));
}
public static VFactor AngleInt(Int3 lhs, Int3 rhs)
{
long den = lhs.magnitude * rhs.magnitude;
return(IntMath.acos((long)Dot(ref lhs, ref rhs), den));
}