public float Multiply(LineSeg3D ls1, LineSeg3D ls2)
{
Vector3D d1 = new Vector3D(ls1._ep - ls1._sp);
Vector3D d2 = new Vector3D(ls2._ep - ls2._sp);
return(d1.GetX() * d2.GetX() + d1.GetY() * d2.GetY() + d1.GetZ() * d2.GetZ());
}
public LineSeg3D Subtract(LineSeg3D line, Point3D point)
{
LineSeg3D l = new LineSeg3D();
l.Equals(line);
l -= point;
return(l);
}
public LineSeg3D Add(LineSeg3D line, Point3D point)
{
LineSeg3D l = new LineSeg3D();
l.Equals(line);
l += point;
return(l);
}
// Rotate a line segment.
// param l the line segment to be rotated
// @returns the resulting rotated line segment
public LineSeg3D Rotate(LineSeg3D l)
{
// Simply rotate both lines
Vector3D i = this.Imaginary();
Vector3D ns = new Vector3D(Vector3D.VectorProduct(i, l.StartPoint()));
Vector3D ne = new Vector3D(Vector3D.VectorProduct(i, l.EndPoint()));
Vector3D deltas = new Vector3D(_r * ns - (Vector3D)(Vector3D.VectorProduct(ns, i)));
Vector3D deltae = new Vector3D(_r * ne - (Vector3D)(Vector3D.VectorProduct(ne, i)));
LineSeg3D result = new LineSeg3D(l.StartPoint() + 2.0f * deltas, l.EndPoint() + 2.0f * deltae);
return(result);
}
public LineSeg3D Equals(LineSeg3D ls)
{
if (this != ls)
{
_sp = ls._sp;
_ep = ls._ep;
}
else
{
Debug.WriteLine("Error: copying LineSeg3D into itself!");
}
return(this);
}
// Rotate a line segment.
// @param l the line segment to be rotated
// @returns the resulting rotated line segment
public LineSeg3D Rotate(LineSeg3D l)
{
// Simply rotate both lines
float angle = (float)Math.Sqrt(_x * _x + _y * _y + _z * _z);
if (angle < 1e-8)
{
return(l);
}
float sn = (float)Math.Sin(angle);
float cs = (float)Math.Cos(angle);
Vector3D axis = new Vector3D(_x / angle, _y / angle, _z / angle);
Vector3D ns = new Vector3D(Point3D.VectorProduct(axis, l.StartPoint()));
Vector3D ne = new Vector3D(Point3D.VectorProduct(axis, l.EndPoint()));
Vector3D deltas = new Vector3D(sn * ns + (cs - 1.0f) * (Point3D.VectorProduct(ns, axis)));
Vector3D deltae = new Vector3D(sn * ne + (cs - 1.0f) * (Point3D.VectorProduct(ne, axis)));
return(new LineSeg3D(l.StartPoint() + deltas, l.EndPoint() + deltae));
}
public float Multiply(LineSeg3D ls1, LineSeg3D ls2)
{
Vector3D d1 = new Vector3D(ls1._ep - ls1._sp);
Vector3D d2 = new Vector3D(ls2._ep - ls2._sp);
return (d1.GetX() * d2.GetX() + d1.GetY() * d2.GetY() + d1.GetZ() * d2.GetZ());
}
public bool EqualTo (LineSeg3D ls)
{
return ((_sp==ls._sp) && (_ep==ls._ep));
}
public LineSeg3D Equals (LineSeg3D ls)
{
if (this != ls)
{
_sp = ls._sp;
_ep = ls._ep;
}
else
{
Debug.WriteLine("Error: copying LineSeg3D into itself!");
}
return this;
}
public LineSeg3D Subtract (LineSeg3D line, Point3D point)
{
LineSeg3D l = new LineSeg3D();
l.Equals(line);
l -= point;
return l;
}
public LineSeg3D Add (LineSeg3D line, Point3D point)
{
LineSeg3D l = new LineSeg3D();
l.Equals(line);
l += point;
return l;
}
// Rotate a line segment.
// param l the line segment to be rotated
// @returns the resulting rotated line segment
public LineSeg3D Rotate(LineSeg3D l)
{
// Simply rotate both lines
Vector3D i = this.Imaginary();
Vector3D ns = new Vector3D(Vector3D.VectorProduct(i, l.StartPoint()));
Vector3D ne = new Vector3D(Vector3D.VectorProduct(i, l.EndPoint()));
Vector3D deltas = new Vector3D(_r * ns - (Vector3D)(Vector3D.VectorProduct(ns, i)));
Vector3D deltae = new Vector3D(_r * ne - (Vector3D)(Vector3D.VectorProduct(ne, i)));
LineSeg3D result = new LineSeg3D(l.StartPoint() + 2.0f * deltas, l.EndPoint() + 2.0f * deltae);
return (result);
}
public float Norm(LineSeg3D ls)
{
return((float)Math.Sqrt((ls._ep._x - ls._sp._x) * (ls._ep._x - ls._sp._x)
+ (ls._ep._y - ls._sp._y) * (ls._ep._y - ls._sp._y)
+ (ls._ep._z - ls._sp._z) * (ls._ep._z - ls._sp._z)));
}
public float Norm2(LineSeg3D ls)
{
return((ls._ep._x - ls._sp._x) * (ls._ep._x - ls._sp._x)
+ (ls._ep._y - ls._sp._y) * (ls._ep._y - ls._sp._y)
+ (ls._ep._z - ls._sp._z) * (ls._ep._z - ls._sp._z));
}
public bool EqualTo(LineSeg3D ls)
{
return((_sp == ls._sp) && (_ep == ls._ep));
}
public float Norm2(LineSeg3D ls)
{
return ((ls._ep._x-ls._sp._x)*(ls._ep._x-ls._sp._x)
+ (ls._ep._y-ls._sp._y)*(ls._ep._y-ls._sp._y)
+ (ls._ep._z-ls._sp._z)*(ls._ep._z-ls._sp._z));
}
public float Norm(LineSeg3D ls)
{
return (float)Math.Sqrt((ls._ep._x - ls._sp._x) * (ls._ep._x - ls._sp._x)
+ (ls._ep._y-ls._sp._y)*(ls._ep._y-ls._sp._y)
+ (ls._ep._z-ls._sp._z)*(ls._ep._z-ls._sp._z));
}
// Rotate a line segment.
// @param l the line segment to be rotated
// @returns the resulting rotated line segment
public LineSeg3D Multiply(LineSeg3D l)
{
return(this.Rotate(l));
}
// Rotate a line segment.
// @param l the line segment to be rotated
// @returns the resulting rotated line segment
public LineSeg3D Multiply (LineSeg3D l)
{
return (this.Rotate(l));
}
// Rotate a line segment.
// @param l the line segment to be rotated
// @returns the resulting rotated line segment
public LineSeg3D Rotate(LineSeg3D l)
{
// Simply rotate both lines
float angle = (float)Math.Sqrt(_x * _x + _y * _y + _z * _z);
if (angle < 1e-8)
{
return l;
}
float sn = (float)Math.Sin(angle);
float cs = (float)Math.Cos(angle);
Vector3D axis = new Vector3D(_x / angle, _y / angle, _z / angle);
Vector3D ns = new Vector3D(Point3D.VectorProduct(axis, l.StartPoint()));
Vector3D ne = new Vector3D(Point3D.VectorProduct(axis, l.EndPoint()));
Vector3D deltas = new Vector3D(sn * ns + (cs - 1.0f) * (Point3D.VectorProduct(ns, axis)));
Vector3D deltae = new Vector3D(sn * ne + (cs - 1.0f) * (Point3D.VectorProduct(ne, axis)));
return new LineSeg3D(l.StartPoint() + deltas, l.EndPoint() + deltae);
}
