public static Coord3d compute(Coord3d p0, Coord3d p1, Coord3d p2)
{
Vector3d v1 = new Vector3d(p0, p1);
Vector3d v2 = new Vector3d(p1, p2);
Coord3d norm = v1.cross(v2);
double d = norm.distance(Coord3d.ORIGIN);
return(norm.divide(d));
}
public Coord3d[] toArray()
{
Coord3d[] array = new Coord3d[m_x.Length];
for (int iCoord = 0; iCoord <= m_x.Length - 1; iCoord++)
{
array[iCoord] = new Coord3d(m_x[iCoord], m_y[iCoord], m_z[iCoord]);
}
return(array);
}
/// <summary>
/// Computes the sinus of the angle
/// </summary>
public double sin()
{
Coord3d c2 = new Coord3d(x2, y2, z2);
Vector3d v1 = new Vector3d(x1, y1, z1, x2, y2, z2);
Vector3d v3 = new Vector3d(x3, y3, z3, x2, y2, z2);
Coord3d c4 = v1.cross(v3).@add(c2);
Vector3d v4 = new Vector3d(c4, c2);
return((c4.z >= 0 ? 1 : -1) * v4.norm() / (v1.norm() * v3.norm()));
}
/// <summary>
/// Computes the vectorial product of the current and the given vector.
/// The result is a vector defined as a Coord3d, that is perpendicular to
/// the plan induced by current vector and vector V.
/// </summary>
public Coord3d cross(Vector3d v)
{
Coord3d v1 = this.vector;
Coord3d v2 = v.vector;
Coord3d v3 = new Coord3d();
v3.x = v1.y * v2.z - v1.z * v2.y;
v3.y = v1.z * v2.x - v1.x * v2.z;
v3.z = v1.x * v2.y - v1.y * v2.x;
return(v3);
}
/// <summary>
/// Return a copy of the current bounding box after shitfing all limits
/// Shifting does not modify the current bounding box.
/// </summary>
/// <remarks>Current object is not modified, a new one is created.</remarks>
public BoundingBox3d shift(Coord3d offset)
{
BoundingBox3d b = new BoundingBox3d();
b.m_xmax = m_xmax + offset.x;
b.m_xmin = m_xmin + offset.x;
b.m_ymax = m_ymax + offset.y;
b.m_ymin = m_ymin + offset.y;
b.m_zmax = m_zmax + offset.z;
b.m_zmin = m_zmin + offset.z;
return(b);
}
/// <summary>
/// Return a copy of the current bounding box after scaling all limits relative to 0,0,0
/// Scaling does not modify the current bounding box.
/// </summary>
/// <remarks>Current object is not modified, a new one is created.</remarks>
public BoundingBox3d scale(Coord3d factors)
{
BoundingBox3d b = new BoundingBox3d();
b.m_xmax = m_xmax * factors.x;
b.m_xmin = m_xmin * factors.x;
b.m_ymax = m_ymax * factors.y;
b.m_ymin = m_ymin * factors.y;
b.m_zmax = m_zmax * factors.z;
b.m_zmin = m_zmin * factors.z;
return(b);
}
/// <summary>
/// Multiply components of the current <see cref="Coord3d"/> with values of another <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to multiply with</param>
public void multiplySelf(Coord3d coord)
{
this.x *= coord.x;
this.y *= coord.y;
this.z *= coord.z;
}
/// <summary>
/// Multiply components of another <see cref="Coord3d"/> with components of the current <see cref="Coord3d"/> and return the result
/// in a new <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to multiply with</param>
/// <remarks>Current object is not modified</remarks>
public Coord3d multiply(Coord3d coord)
{
return(new Coord3d(this.x * coord.x, this.y * coord.y, this.z * coord.z));
}
/// <summary>
/// Adds a <see cref="Coord3d"/> point to the bounding box, and enlarge the bounding
/// box if this points lies outside of it.
/// </summary>
public void @add(Coord3d p)
{
this.@add(p.x, p.y, p.z);
}
/// <summary>
/// Returns the dot product of current coordinate with another coordinate
/// </summary>
public double dot(Coord3d coord)
{
return(x * coord.x + y * coord.y + z * coord.z);
}
public Coord3d(Coord3d c, double zi) : this(c.x, c.y, zi)
{
}
/// <summary>
/// Create an angle, described by three coordinates.
/// The angle is supposed to be on p2
/// </summary>
public Angle3d(Coord3d p1, Coord3d p2, Coord3d p3) : this(p1.x, p2.x, p3.x, p1.y, p2.y, p3.y, p1.z, p2.z, p3.z)
{
}
/// <summary>
/// Initialize a BoundingBox with given centre and edgeLength (equals in all directions)
/// </summary>
public BoundingBox3d(Coord3d center, double edgeLength) : this(center.x - edgeLength / 2, center.x + edgeLength / 2, center.y - edgeLength / 2, center.y + edgeLength / 2, center.z - edgeLength / 2, center.z + edgeLength / 2)
{
}
/// <summary>
/// Return true if <paramref name="aPoint"/> is contained in this box.
/// </summary>
public bool contains(Coord3d aPoint)
{
return(m_xmin <= aPoint.x & aPoint.x <= m_xmax & m_ymin <= aPoint.y & aPoint.y <= m_ymax & m_zmin <= aPoint.z & aPoint.z <= m_zmax);
}
/// <summary>
/// Divide components of the current <see cref="Coord3d"/> by components of another <see cref="Coord3d"/> and return the result
/// in a new <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to divide with</param>
/// <remarks>Current object is not modified</remarks>
public Coord3d divide(Coord3d coord)
{
return(new Coord3d(this.x / coord.x, this.y / coord.y, this.z / coord.z));
}
/// <summary>
/// Divide components of the current <see cref="Coord3d"/> by values of another <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to divide by</param>
public void divideSelf(Coord3d coord)
{
this.x /= coord.x;
this.y /= coord.y;
this.z /= coord.z;
}
/// <summary>
/// Add values of another <see cref="Coord3d"/> to all components of the current <see cref="Coord3d"/> and return the result
/// in a new <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to add</param>
/// <remarks>Current object is not modified</remarks>
public Coord3d @add(Coord3d coord)
{
return(new Coord3d(this.x + coord.x, this.y + coord.y, this.z + coord.z));
}
/// <summary>
/// Compute the distance between two coordinates.
/// </summary>
/// <returns></returns>
/// <remarks></remarks>
public double distance(Coord3d coord)
{
return(Math.Sqrt(Math.Pow((this.x - coord.x), 2) + Math.Pow((this.y - coord.y), 2) + Math.Pow((this.z - coord.z), 2)));
}
/// <summary>
/// Add values of another <see cref="Coord3d"/> to all components of the current <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to add</param>
public void addSelf(Coord3d coord)
{
this.x += coord.x;
this.y += coord.y;
this.z += coord.z;
}
/// <summary>
/// Assuming current coordinate is in cartesian system, returns a new coordinate in polar system
/// </summary>
/// <remarks>Current object is not modified</remarks>
public Coord3d interpolateTo(Coord3d coord, double f)
{
return(new Coord3d(x + (coord.x - x) * f, y + (coord.y - y) * f, z + (coord.z - z) * f));
}
/// <summary>
/// Substract values of another <see cref="Coord3d"/> to all components of the current <see cref="Coord3d"/> and return the result
/// in a new <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to substract</param>
/// <remarks>Current object is not modified</remarks>
public Coord3d substract(Coord3d coord)
{
return(new Coord3d(this.x - coord.x, this.y - coord.y, this.z - coord.z));
}
public Vector3d(Coord3d p1, Coord3d p2) : this(p1.x, p2.x, p1.y, p2.y, p1.z, p2.z)
{
}
/// <summary>
/// Substract values of another <see cref="Coord3d"/> to all components of the current <see cref="Coord3d"/>.
/// </summary>
/// <param name="coord">Coordinate with values to substract</param>
public void substractSelf(Coord3d coord)
{
this.x -= coord.x;
this.y -= coord.y;
this.z -= coord.z;
}
/// <summary>
/// Compute the distance between two coordinates.
/// </summary>
public double distance(Coord3d c)
{
return(this.Center.distance(c));
}
/// <summary>
/// Set all values of Coord3d
/// </summary>
/// <returns>Self</returns>
/// <remarks></remarks>
public Coord3d set(Coord3d another)
{
return(setvalues(another.x, another.y, another.z));
}