/// <summary>
/// Gets the parameters of the point on the plane closest to a test point.
/// </summary>
/// <param name="testPoint">Point to get close to.</param>
/// <param name="s">Parameter along plane X-direction.</param>
/// <param name="t">Parameter along plane Y-direction.</param>
/// <returns>
/// true if a parameter could be found,
/// false if the point could not be projected successfully.
/// </returns>
/// <example>
/// <code source="examples\vbnet\ex_addlineardimension2.vb" lang="vbnet" />
/// <code source="examples\cs\ex_addlineardimension2.cs" lang="cs" />
/// <code source="examples\py\ex_addlineardimension2.py" lang="py" />
/// </example>
public bool ClosestParameter(AKT_Point3d testPoint, out double s, out double t)
{
AKT_Vector3d vector3d = testPoint - this.Origin;
s = vector3d * this.XAxis;
t = vector3d * this.YAxis;
return(true);
}
/// <summary>
/// Computes the distance between two points.
/// </summary>
/// <param name="other">Other point for distance measurement.</param>
/// <returns>The length of the AKT_Line between this and the other point; or 0 if any of the points is not valid.</returns>
/// <example>
/// <code source="examples\vbnet\ex_intersectcurves.vb" lang="vbnet" />
/// <code source="examples\cs\ex_intersectcurves.cs" lang="cs" />
/// <code source="examples\py\ex_intersectcurves.py" lang="py" />
/// </example>
public double DistanceTo(AKT_Point3d other)
{
double mX = other.m_x - this.m_x;
double mY = other.m_y - this.m_y;
double mZ = other.m_z - this.m_z;
return(AKT_Vector3d.GetLengthHelper(mX, mY, mZ));
}
public AKT_Plane(AKT_Point3d origin, AKT_Vector3d vX, AKT_Vector3d vY)
{
this.m_origin = origin;
this.m_xaxis = vX;
this.m_yaxis = vY;
this.m_zaxis = AKT_Vector3d.CrossProduct(vX, vY);
this.guid = Guid.Empty;
}
/// <summary>
/// Constructs a new AKT_Line segment from start point, direction and length.
/// </summary>
/// <param name="start">Start point of AKT_Line segment.</param>
/// <param name="direction">Direction of AKT_Line segment.</param>
/// <param name="length">Length of AKT_Line segment.</param>
public AKT_Line(AKT_Point3d start, AKT_Vector3d direction, double length)
{
AKT_Vector3d vector3d = direction;
if (!vector3d.Unitize())
{
vector3d = new AKT_Vector3d(0, 0, 1);
}
this.m_from = start;
this.m_to = start + (vector3d * length);
}
public static double LineToPointDistance2D(AKT_Line l, AKT_Point3d p, bool isSegment = true)
{
AKT_Point3d pointA = l.To;
AKT_Point3d pointB = l.To;
AKT_Point3d pointC = p;
AKT_Vector3d pA = new AKT_Vector3d(p, pointA);
throw new NotImplementedException();
//AKT_Vector3d dist = AKT_Vector3d.CrossProduct(l.Direction, pA) / l.Length;
//if (isSegment)
//{
// double dot1 = DotProduct(pointA, pointB, p);
// if (dot1 > 0)
// return Distance(pointB, p);
// double dot2 = DotProduct(pointB, pointA, p);
// if (dot2 > 0)
// return Distance(pointA, p);
//}
//return Math.Abs(dist);
}
/// <summary>
/// Extend the AKT_Line by custom distances on both sides.
/// </summary>
/// <param name="startLength">
/// Distance to extend the AKT_Line at the start point.
/// Positive distance result in longer AKT_Lines.
/// </param>
/// <param name="endLength">
/// Distance to extend the AKT_Line at the end point.
/// Positive distance result in longer AKT_Lines.
/// </param>
/// <returns>true on success, false on failure.</returns>
public bool Extend(double startLength, double endLength)
{
if (this.Length == 0)
{
return(false);
}
AKT_Point3d mFrom = this.m_from;
AKT_Point3d mTo = this.m_to;
AKT_Vector3d unitTangent = this.UnitTangent;
if (startLength != 0)
{
mFrom = this.m_from - (startLength * unitTangent);
}
if (endLength != 0)
{
mTo = this.m_to + (endLength * unitTangent);
}
this.m_from = mFrom;
this.m_to = mTo;
return(true);
}
/// <summary>
/// Gets the unit tangent vector along the AKT_PolyLine at the given parameter.
/// The integer part of the parameter indicates the index of the segment.
/// </summary>
/// <param name="t">AKT_PolyLine parameter.</param>
/// <returns>The tangent along the AKT_PolyLine at t.</returns>
public AKT_Vector3d TangentAt(double t)
{
int count = this.points.Count();
if (count < 2)
{
return(AKT_Vector3d.Zero);
}
int num = (int)Math.Floor(t);
if (num < 0)
{
num = 0;
}
else if (num > count - 2)
{
num = count - 2;
}
AKT_Vector3d mItems = this.points[num + 1] - this.points[num];
mItems.Unitize();
return(mItems);
}
/// <summary>
/// Subtracts a vector from a point.
/// <para>(Provided for languages that do not support operator overloading. You can use the - operator otherwise)</para>
/// </summary>
/// <param name="vector">A vector.</param>
/// <param name="point">A point.</param>
/// <returns>A new point that is the difference of point minus vector.</returns>
public static AKT_Point3d Subtract(AKT_Point3d point, AKT_Vector3d vector)
{
return(new AKT_Point3d(point.m_x - vector.m_x, point.m_y - vector.m_y, point.m_z - vector.m_z));
}
/// <summary>
/// Sums up a point and a vector, and returns a new point.
/// <para>(Provided for languages that do not support operator overloading. You can use the + operator otherwise)</para>
/// </summary>
/// <param name="point">A point.</param>
/// <param name="vector">A vector.</param>
/// <returns>A new point that results from the addition of point and vector.</returns>
public static AKT_Point3d Add(AKT_Point3d point, AKT_Vector3d vector)
{
return(new AKT_Point3d(point.m_x + vector.m_x, point.m_y + vector.m_y, point.m_z + vector.m_z));
}
/// <summary>
/// Initializes a new point by copying coordinates from the components of a vector.
/// </summary>
/// <param name="vector">A vector.</param>
public AKT_Point3d(AKT_Vector3d vector)
{
this.m_x = vector.m_x;
this.m_y = vector.m_y;
this.m_z = vector.m_z;
}
/// <summary>
/// Constructs a new AKT_Line segment from start point and span vector.
/// </summary>
/// <param name="start">Start point of AKT_Line segment.</param>
/// <param name="span">Direction and length of AKT_Line segment.</param>
public AKT_Line(AKT_Point3d start, AKT_Vector3d span)
{
this.m_from = start;
this.m_to = start + span;
}
