protected PointSet(PointSet p)
: this(p.Size)
{
for (int i = 0; i < Size; i++)
{
Ponderance[i] = p.Ponderance[i];
}
}
public Point(PointSet p)
: base(p)
{
}
public Point(PointSet p) : base(p)
{
}
/// <summary>
/// Adds a point and a vector to produce a new point.
/// </summary>
/// <param name="a">A point.</param>
/// <param name="b">A vector.</param>
/// <returns>The point <paramref name="a"/> + <paramref name="b"/>.</returns>
public static Point Add(PointSet a, Vector b)
{
return(Vector.Add(a.ToVector(), b).ToPoint());
}
/// <summary>
/// Subtracts a vector from a point to produce a new point.
/// </summary>
/// <param name="a">A point.</param>
/// <param name="b">A vector.</param>
/// <returns>The point <paramref name="a"/> - <paramref name="b"/>.</returns>
public static Point Subtract(PointSet a, Vector b)
{
return(Subtract(a, b.ToPoint()).ToPoint());
}
/// <summary>
/// The geometry distance between this two points.
/// </summary>
/// <param name="a">The first point.</param>
/// <param name="b">The second point.</param>
/// <returns>The distance between them.</returns>
public static double Distance(PointSet a, PointSet b)
{
return(Subtract(a, b).Length);
}
/// <summary>
/// Subtracts a point from a point to produce a vector.
/// </summary>
/// <param name="a">The first point.</param>
/// <param name="b">The second point.</param>
/// <returns>The vector <paramref name="a"/> - <paramref name="b"/>.</returns>
public static Vector Subtract(PointSet a, PointSet b)
{
if (!a.isRegular || !b.isRegular)
{
throw (new PointNotRegularException());
}
if (a.Dimension != b.Dimension)
{
throw (new DimensionsNotEqualException());
}
double[] d = new double[a.Dimension];
for (int i = 0; i < a.Dimension; i++)
{
d[i] = a[i] - b[i];
}
return new Vector(d);
}
/// <summary>
/// Subtracts a vector from a point to produce a new point.
/// </summary>
/// <param name="a">A point.</param>
/// <param name="b">A vector.</param>
/// <returns>The point <paramref name="a"/> - <paramref name="b"/>.</returns>
public static Point Subtract(PointSet a, Vector b)
{
return Subtract(a, b.ToPoint()).ToPoint();
}
/// <summary>
/// Multiplies a point by a scalar to produce a new point.
/// </summary>
/// <param name="a">A scalar.</param>
/// <param name="b">A point.</param>
/// <returns>The image of <paramref name="b"/> in the scaling centered at the
/// origin with ratio <paramref name="a"/>.</returns>
public static Point Multiply(double a, PointSet b)
{
if (!b.isRegular)
{
throw (new PointNotRegularException());
}
double[] d = new double[b.Dimension];
for (int i = 0; i < b.Dimension; i++)
{
d[i] = a * b[i];
}
return new Point(d);
}
/// <summary>
/// Returns the point midway between two points.
/// </summary>
/// <param name="a">The first point.</param>
/// <param name="b">The second point.</param>
/// <returns>The point (<paramref name="a"/> + <paramref name="b"/>)/2.</returns>
public static Point MidPoint(PointSet a, PointSet b)
{
if (!a.isRegular || !b.isRegular)
{
throw (new PointNotRegularException());
}
return ((a.ToVector() + b.ToVector()) / 2).ToPoint();
}
/// <summary>
/// The geometry distance between this two points.
/// </summary>
/// <param name="a">The first point.</param>
/// <param name="b">The second point.</param>
/// <returns>The distance between them.</returns>
public static double Distance(PointSet a, PointSet b)
{
return Subtract(a, b).Length;
}
/// <summary>
/// Determines whether two pionts are exactly equal.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns><c>true</c> if the two vectors are equal; otherwise, <c>false</c>.</returns>
public static bool Compare(PointSet a, PointSet b)
{
if ((object)a == null && (object)b == null)
{
return true;
}
else if ((object)a == null && (object)b != null)
{
return false;
}
else
{
return a.Equals(b);
}
}
/// <summary>
/// Adds a point and a vector to produce a new point.
/// </summary>
/// <param name="a">A point.</param>
/// <param name="b">A vector.</param>
/// <returns>The point <paramref name="a"/> + <paramref name="b"/>.</returns>
public static Point Add(PointSet a, Vector b)
{
return Vector.Add(a.ToVector(), b).ToPoint();
}