/// <summary>
/// This function returns the vector (or cross) product of two input directions.
/// The input directions must be three-dimensional.
/// The result is always a vector which is unitless.
/// If the input directions are either parallel or anti-parallel a vector of zero magnitude is returned.
/// </summary>
/// <param name="arg1"></param>
/// <param name="arg2"></param>
/// <returns></returns>
public static IfcVector IfcCrossProduct(IfcDirection arg1, IfcDirection arg2)
{
if (arg1 == null || arg1.Dim != 3 || arg2 == null || arg2.Dim != 3)
{
return(null);
}
doublewrapper Mag;
IfcDirection Res;
IList <doublewrapper> V1, V2;
V1 = new List <doublewrapper>(IfcNormalise(arg1).DirectionRatios.Items);
V2 = new List <doublewrapper>(IfcNormalise(arg2).DirectionRatios.Items);
Res = new IfcDirection(V1[1] * V2[2] - V1[2] * V2[1], V1[2] * V2[0] - V1[0] * V2[2], V1[0] * V2[1] - V1[1] * V2[0]);
Mag = 0;
for (int i = 0; i < 3; i++)
{
Mag += Res.DirectionRatios[i] * Res.DirectionRatios[i];
}
if (Mag > 0)
{
return(new IfcVector(Res, Math.Sqrt((double)Mag)));
}
else
{
return(new IfcVector(arg1, 0));
}
}
private static IfcVector IfcVectorDifference(double Mag1, IfcDirection Vec1, double Mag2, IfcDirection Vec2)
{
IfcDirection Res;
doublewrapper Mag;
int nDim;
Vec1 = IfcNormalise(Vec1);
Vec2 = IfcNormalise(Vec2);
nDim = Vec1.DirectionRatios.Items.Length;
Mag = 0;
Res = new IfcDirection();
doublewrapper[] temp = new doublewrapper[nDim];
for (int i = 0; i < nDim; i++)
{
temp[i] = 0;
}
Res.DirectionRatios = (IfcDirectionDirectionRatios)temp;
for (int i = 0; i < nDim; i++)
{
Res.DirectionRatios[i] = Mag1 * Vec1.DirectionRatios[i] - Mag2 * Vec2.DirectionRatios[i];
Mag += Res.DirectionRatios[i] * Res.DirectionRatios[i];
}
if (Mag > 0)
{
return(new IfcVector(Res, Math.Sqrt((double)Mag)));
}
else
{
return(new IfcVector(Vec1, 0));
}
}
/// <summary>
/// This function returns a direction whose components are normalized to have a sum of squares of 1.0.
/// If the input argument is not defined or of zero length then null is returned.
/// </summary>
/// <param name="arg"></param>
/// <returns></returns>
public static IfcDirection IfcNormalise(IfcDirection arg)
{
if (arg == null)
{
throw new ArgumentNullException("arg");
}
IfcDimensionCount1 Ndim;
IfcDirection V = new IfcDirection(1, 0);
doublewrapper Mag;
Ndim = arg.Dim;
V.DirectionRatios = arg.DirectionRatios;
Mag = 0;
for (int i = 0; i < Ndim; i++)
{
Mag += V.DirectionRatios[i] * V.DirectionRatios[i];
}
if (Mag <= 0)
{
return(null);
}
Mag = Math.Sqrt((double)Mag);
for (int i = 0; i < Ndim; i++)
{
V.DirectionRatios[i] /= Mag;
}
return(V);
}
/// <summary>
///
/// </summary>
/// <param name="Dim"></param>
/// <param name="axis1"></param>
/// <param name="axis2"></param>
/// <param name="axis3"></param>
/// <returns></returns>
public static IList <IfcDirection> IfcBaseAxis(int Dim, IfcDirection axis1, IfcDirection axis2, IfcDirection axis3)
{
if (Dim != 3)
{
return(null);
}
if (axis1 == null)
{
return(null);
}
if (axis2 == null)
{
return(null);
}
if (axis3 == null)
{
return(null);
}
IList <IfcDirection> U = new List <IfcDirection>(Dim);
IfcDirection D1, D2;
D1 = Functions.NVL <IfcDirection>(IfcNormalise(axis3), new IfcDirection(0, 0, 1));
D2 = IfcFirstProjAxis(D1, axis1);
U.Add(D2);
U.Add(IfcSecondProjAxis(D1, D2, axis2));
U.Add(D1);
return(U);
}
/// <summary>
/// This function returns the difference of the input arguments as (Arg1 - Arg2).
/// The function returns as a vector the vector difference of the two input vectors.
/// The input arguments shall both be of the same dimensionality but may be either directions or vectors.
/// If both input arguments are vectors they must be expressed in the same units, if both are directions a unitless result is produced.
/// A zero difference vector produces a vector of zero magnitude.
/// </summary>
/// <param name="arg1"></param>
/// <param name="arg2"></param>
/// <returns></returns>
public static IfcVector IfcVectorDifference(IfcDirection arg1, IfcVector arg2)
{
if (arg1 == null || arg2 == null || arg1.Dim != arg2.Dim)
{
return(null);
}
return(IfcVectorDifference(1, arg1, arg2.Magnitude, arg2.Orientation.Item));
}
/// <summary>
/// This function returns a direction which is the orthogonal complement of the input direction.
/// The input direction must be a two-dimensional direction and the result is a vector of the same type and perpendicular to the input vector.
/// </summary>
/// <param name="Vec"></param>
/// <returns>Null if the parameter Vec is null, or if Vec is not of 2 dimensions.</returns>
public static IfcDirection IfcOrthogonalComplement(IfcDirection Vec)
{
if (Vec == null || Vec.Dim != 2)
{
return(null);
}
return(new IfcDirection(-(double)Vec.DirectionRatios[1], (double)Vec.DirectionRatios[0]));
}
/// <summary>
/// This function returns the difference of the input arguments as (Arg1 - Arg2).
/// The function returns as a vector the vector difference of the two input vectors.
/// The input arguments shall both be of the same dimensionality but may be either directions or vectors.
/// If both input arguments are vectors they must be expressed in the same units, if both are directions a unitless result is produced.
/// A zero difference vector produces a vector of zero magnitude.
/// </summary>
/// <param name="arg1"></param>
/// <param name="arg2"></param>
/// <returns></returns>
public static IfcVector IfcVectorDifference(IfcDirection arg1, IfcDirection arg2)
{
if (arg1 == null || arg2 == null || arg1.Dim != arg2.Dim)
{
return(null);
}
return(IfcVectorDifference(1, arg1, 1, arg2));
}
/// <summary>
/// This function returns two orthogonal directions. u[1] is in the direction of ref_direction and u[2] is perpendicular to u[1].
/// A default value of (1.0,0.0,0.0) is supplied for ref_direction if the input data is incomplete.
/// </summary>
/// <param name="refDirection"></param>
/// <returns></returns>
public static IList <IfcDirection> IfcBuild2Axes(IfcDirection refDirection)
{
IfcDirection D = NVL <IfcDirection>(IfcNormalise(refDirection), new IfcDirection(1, 0));
IList <IfcDirection> axes = new List <IfcDirection>(2);
axes.Add(D);
axes.Add(IfcOrthogonalComplement(D));
return(axes);
}
/// <summary>
///
/// </summary>
/// <param name="Dim"></param>
/// <param name="axis1"></param>
/// <param name="axis2"></param>
/// <returns></returns>
public static IList <IfcDirection> IfcBaseAxis(int Dim, IfcDirection axis1, IfcDirection axis2)
{
if (Dim != 1 || Dim != 2)
{
return(null);
}
IList <IfcDirection> U = new List <IfcDirection>(Dim);
double Factor;
IfcDirection D1;
if (axis1 != null)
{
D1 = IfcNormalise(axis1);
U.Add(D1);
U.Add(IfcOrthogonalComplement(D1));
if (axis2 != null)
{
Factor = IfcDotProduct(axis2, U[1]);
if (Factor < 0)
{
U[1].DirectionRatios[0] = -U[1].DirectionRatios[0];
U[1].DirectionRatios[1] = -U[1].DirectionRatios[1];
}
}
}
else
{
if (axis2 != null)
{
D1 = IfcNormalise(axis2);
U.Add(IfcOrthogonalComplement(D1));
U.Add(D1);
U[0].DirectionRatios[0] = -U[0].DirectionRatios[0];
U[0].DirectionRatios[1] = -U[0].DirectionRatios[1];
}
else
{
U.Add(new IfcDirection(1, 0));
U.Add(new IfcDirection(0, 1));
}
}
return(U);
}
/// <summary>
///
/// </summary>
/// <param name="arg1"></param>
/// <param name="arg2"></param>
/// <returns></returns>
public static double IfcDotProduct(IfcDirection arg1, IfcDirection arg2)
{
if (arg1 == null)
{
return(0);
}
if (arg2 == null)
{
return(0);
}
int dim = arg1.Dim < arg2.Dim ? (int)arg1.Dim : (int)arg2.Dim;
double tmp = 0;
for (int i = 0; i < dim; i++)
{
tmp += (double)arg1.DirectionRatios[i] * (double)arg2.DirectionRatios[i];
}
return(tmp);
}
/// <summary>
/// This function produces a three dimensional direction which is, with fully defined input,
/// the projection of arg onto the plane normal to the z-axis.
/// With arg defaulted the result is the projection of (1.0,0.0,0.0) onto this plane
/// except that if z-axis = (1.0,0.0,0.0) then (0.0,1.0,0.0) is used as initial value of arg
/// A violation occurs if arg is in the same direction as the input z-axis.
/// </summary>
/// <param name="zAxis"></param>
/// <param name="arg"></param>
/// <returns></returns>
public static IfcDirection IfcFirstProjAxis(IfcDirection zAxis, IfcDirection arg)
{
if (zAxis == null)
{
return(null);
}
IfcDirection xAxis, V, Z;
IfcVector xVec;
Z = IfcNormalise(zAxis);
if (arg == null)
{
if (Z.DirectionRatios[0] != 1 || Z.DirectionRatios[1] != 0 || Z.DirectionRatios[2] != 0)
{
V = new IfcDirection(1, 0, 0);
}
else
{
V = new IfcDirection(0, 1, 0);
}
}
else
{
if (arg.Dim != 3)
{
return(null);
}
if (IfcCrossProduct(arg, Z).Magnitude == 0)
{
return(null);
}
else
{
V = IfcNormalise(arg);
}
}
xVec = IfcScalarTimesVector(IfcDotProduct(V, Z), Z);
xAxis = IfcVectorDifference(V, xVec).Orientation.Item;
return(IfcNormalise(xAxis));
}
/// <summary>
/// This function returns a vector whose components are normalized to have a sum of squares of 1.0.
/// If the input argument is not defined or of zero length then null is returned.
/// </summary>
/// <param name="arg"></param>
/// <returns></returns>
public static IfcVector IfcNormalise(IfcVector arg)
{
if (arg == null)
{
throw new ArgumentNullException("arg");
}
IfcDimensionCount1 Ndim;
IfcDirection V = new IfcDirection(1, 0);
IfcVector Vec = new IfcVector(new IfcDirection(1, 0), 1);
doublewrapper Mag;
Ndim = arg.Dim;
V.DirectionRatios = arg.Orientation.Item.DirectionRatios;
Vec.Magnitude = arg.Magnitude;
Vec.Orientation = (IfcVectorOrientation)V;
if (arg.Magnitude == 0)
{
return(null);
}
Vec.Magnitude = 1;
Mag = 0;
for (int i = 0; i < Ndim; i++)
{
Mag += V.DirectionRatios[i] * V.DirectionRatios[i];
}
if (Mag <= 0)
{
return(null);
}
Mag = Math.Sqrt((double)Mag);
for (int i = 0; i < Ndim; i++)
{
V.DirectionRatios[i] /= Mag;
}
Vec.Orientation = (IfcVectorOrientation)V;
return(Vec);
}
/// <summary>
/// This function returns the normalized vector
/// that is simultaneously the projection of arg onto the plane normal to the vector z-axis
/// and onto the plane normal to the vector x-axis.
/// If arg is NULL then the projection of the vector (0.,1.,0.) onto z-axis is returned.
/// </summary>
/// <param name="zAxis"></param>
/// <param name="xAxis"></param>
/// <param name="arg"></param>
/// <returns></returns>
public static IfcDirection IfcSecondProjAxis(IfcDirection zAxis, IfcDirection xAxis, IfcDirection arg)
{
IfcVector yAxis, temp;
IfcDirection V;
if (arg == null)
{
V = new IfcDirection(0, 1, 0);
}
else
{
V = arg;
}
temp = IfcScalarTimesVector(IfcDotProduct(V, zAxis), zAxis);
yAxis = IfcVectorDifference(V, temp);
temp = IfcScalarTimesVector(IfcDotProduct(V, xAxis), xAxis);
yAxis = IfcVectorDifference(yAxis, temp);
yAxis = IfcNormalise(yAxis);
return(yAxis.Orientation.Item);
}
/// <summary>
/// This function returns the vector that is the scalar multiple of the input vector.
/// It accepts as input a scalar and a 'vector' which may be either a Direction or a Vector.
/// The output is a Vector of the same units as the input vector or unitless if a direction is input.
/// If either input argument is undefined then the returned vector is also undefined.
/// </summary>
/// <param name="scalar"></param>
/// <param name="vec"></param>
/// <returns></returns>
public static IfcVector IfcScalarTimesVector(double scalar, IfcDirection vec)
{
if (vec == null)
{
return(null);
}
IfcDirection V;
double Mag;
V = vec;//FIXME clone?
Mag = scalar;
if (Mag < 0)
{
for (int i = 0; i < V.DirectionRatios.Items.Length; i++)
{
V.DirectionRatios[i] = -V.DirectionRatios[i];
}
Mag = -Mag;
}
return(new IfcVector(IfcNormalise(V), Mag));
}
/// <summary>
/// Constructor from an IfcDirection
/// </summary>
/// <param name="dir"></param>
public IfcAxis2Placement2DRefDirection(IfcDirection dir)
{
this.Item = dir;
}
/// <summary>
/// Constructor allowing the underlying item to be given
/// </summary>
/// <param name="dir"></param>
public IfcVectorOrientation(IfcDirection dir)
{
this.Item = dir;
}
/// <summary>
/// Constructor allowing the underlying data to be given
/// </summary>
/// <param name="orient"></param>
/// <param name="mag"></param>
public IfcVector(IfcDirection orient, double mag)
{
this.Orientation = (IfcVectorOrientation)orient;
this.Magnitude = mag;
}