/// <summary>
///
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static Interval3d Union(Interval3d a, Interval3d b)
{
a.X = Interval1d.Union(a.X, b.X);
a.Y = Interval1d.Union(a.Y, b.Y);
a.Z = Interval1d.Union(a.Z, b.Z);
return(a);
}
/// <summary>
///
/// </summary>
/// <param name="d0"></param>
/// <param name="d1"></param>
/// <returns></returns>
public static Interval3d Intersect(Interval3d d0, Interval3d d1)
{
d0.X = Interval1d.Intersect(d0.X, d1.X);
d0.Y = Interval1d.Intersect(d0.Y, d1.Y);
d0.Z = Interval1d.Intersect(d0.Z, d1.Z);
return(d0);
}
/// <summary>
///
/// </summary>
/// <param name="point"></param>
/// <param name="from"></param>
/// <param name="to"></param>
/// <returns></returns>
public static Vec3d Remap(Vec3d point, Interval3d from, Interval3d to)
{
point.X = Interval1d.Remap(point.X, from.X, to.X);
point.Y = Interval1d.Remap(point.Y, from.Y, to.Y);
point.Y = Interval1d.Remap(point.Z, from.Z, to.Z);
return(point);
}
/// <summary>
/// Returns a random vector which has components within the given interval.
/// </summary>
/// <param name="random"></param>
/// <param name="interval"></param>
/// <returns></returns>
public static Vec3d NextVec3d(this Random random, Interval3d interval)
{
return(new Vec3d(
interval.X.Evaluate(random.NextDouble()),
interval.Y.Evaluate(random.NextDouble()),
interval.Z.Evaluate(random.NextDouble())));
}
/// <summary>
///
/// </summary>
/// <param name="other"></param>
public void Include(Interval3d other)
{
X.Include(other.X);
Y.Include(other.Y);
Z.Include(other.Z);
}
/// <summary>
///
/// </summary>
/// <param name="other"></param>
/// <param name="tolerance"></param>
/// <returns></returns>
public bool ApproxEquals(Interval3d other, double tolerance)
{
return(X.ApproxEquals(other.X, tolerance) && Y.ApproxEquals(other.Y, tolerance) && Z.ApproxEquals(other.Z, tolerance));
}