internal static Distance DotProduct(this FreeVector thisVector, DoubleVector otherVector)
{
var vector1 = thisVector;
var vector2 = otherVector;
return(vector1.X * vector2.X + vector1.Y * vector2.Y + vector1.Z * vector2.Z);
}
/// <summary>
/// Left to right composition.
/// <remarks>Optimized version of the more general overload: Compose(Shift, Shift)</remarks>
/// </summary>
public static Shift ComposeLeftToRight(FreeVector translation, Shift shift)
{
var matrix = shift.Matrix.Copy();
matrix.PreTranslateBy(translation);
return(new Shift(matrix));
}
/// <summary>
/// For compatibility with old tests
/// </summary>
internal Shift(FreeVector translation)
{
var matrix = IdentityMatrix(4);
matrix.PostTranslateBy(translation);
this.Matrix = matrix;
}
/// <summary>
/// Translates the vector the given distance in the given direction
/// </summary>
public Vector Translate(FreeVector translation)
{
Point newBasePoint = this.BasePoint.Translate(translation);
Point newEndPoint = this.EndPoint.Translate(translation);
return(new Vector(newBasePoint, newEndPoint));
}
internal static void PreTranslateBy(this double[,] matrix, FreeVector vector)
{
var x = vector.X.InInches();
var y = vector.Y.InInches();
var z = vector.Z.InInches();
matrix[0, 3] += matrix[0, 0] * x + matrix[0, 1] * y + matrix[0, 2] * z;
matrix[1, 3] += matrix[1, 0] * x + matrix[1, 1] * y + matrix[1, 2] * z;
matrix[2, 3] += matrix[2, 0] * x + matrix[2, 1] * y + matrix[2, 2] * z;
}
/// <summary>
/// Adds the two vectors and returns the resultant vector
/// </summary>
public static Vector operator +(Vector vector1, Vector vector2)
{
Distance x = vector1.XComponent + vector2.XComponent;
Distance y = vector1.YComponent + vector2.YComponent;
Distance z = vector1.ZComponent + vector2.ZComponent;
var v = new FreeVector(x, y, z);
return(new Vector(vector1.BasePoint, v + vector1.BasePoint));
}
/// <summary>
/// Creates a parralelepiped.
/// shifts the vectors so their basepoints are the passed basepoint, and creates the parralelepiped spanned by those vectors.
/// </summary>
public static Polyhedron MakeParallelepiped(
FreeVector vector1,
FreeVector vector2,
FreeVector vector3,
[NotNull] Point basePoint)
{
Polygon bottom = Polygon.Parallelogram(vector1, vector2, basePoint);
Polyhedron solid = bottom.Extrude(vector3);
return(solid);
}
/// <summary>
/// Creates a parallelogram.
/// shifts both vectors so their basepoints are the passed basepoint, and creates the parallelogram spanned by
/// those sides.
/// </summary>
public static Polygon Parallelogram(FreeVector vector1, FreeVector vector2, Point basePoint = null)
{
if (basePoint == null)
{
basePoint = Point.Origin;
}
LineSegment segment1 = new LineSegment(basePoint, vector1);
LineSegment segment2 = new LineSegment(basePoint, vector2);
LineSegment segment3 = new LineSegment(segment2.EndPoint, vector1);
LineSegment segment4 = new LineSegment(segment1.EndPoint, vector2);
return(new Polygon(new List <LineSegment> {
segment1, segment2, segment3, segment4
}));
}
private static Polyhedron _makeSolid(Distance length, Distance width, Distance height, Point basePoint = null)
{
if (basePoint == null)
{
basePoint = Point.Origin;
}
Distance zero = Unit.ZeroDistance;
var vector1 = new FreeVector(zero, width, zero);
var vector2 = new FreeVector(length, zero, zero);
var vector3 = new FreeVector(zero, zero, height);
var solid = MakeParallelepiped(vector1, vector2, vector3, basePoint);
return(solid);
}
/// <summary>
/// Extends a polygon to a 3 dimensional solid.
/// Makes a copy of the polygon shifted over by the extrusion vector, then connects corresponding vertices.
/// </summary>
public Polyhedron Extrude(FreeVector extrusionVector)
{
if (this.IsParallelTo(extrusionVector))
{
throw new Exception("Extrusion vector cannot be parallel to extruding face");
}
if (extrusionVector.ScalarProjection(NormalDirection).AbsoluteValue() < Inches.Tolerance * Inches)
{
throw new Exception("Extrusion vector is too small in the normal direction.");
}
;
var baseFace = extrusionVector.ScalarProjection(NormalDirection) < ZeroDistance
? this
: this.ReverseOrientation();
var faces = new List <Polygon> {
baseFace
};
var oppositeFace = new List <LineSegment>();
foreach (var segment in baseFace.Edges)
{
var opposite = segment.Translate(extrusionVector);
var sideFace = new Polygon
(
ValidateOption.Dont,
opposite.BasePoint,
opposite.EndPoint,
segment.EndPoint,
segment.BasePoint
);
faces.Add(sideFace);
oppositeFace.Add(opposite.Reverse());
}
oppositeFace.Reverse();
faces.Add(new Polygon(oppositeFace, ValidateOption.Dont));
var solid = new Polyhedron(faces, ValidateOption.Dont);
return(solid);
}
public Shift
(
FreeVector translationToOrigin,
Angle xAxisRotationAngle,
Angle yAxisRotationAngle,
Angle zAxisRotationAngle
)
: this
(
new List <Rotation>
{
new Rotation(Line.XAxis, xAxisRotationAngle),
new Rotation(Line.YAxis, yAxisRotationAngle),
new Rotation(Line.ZAxis, zAxisRotationAngle)
}, translationToOrigin
)
{
}
internal static FreeVector CrossProduct(this FreeVector thisVector, DoubleVector otherVector)
{
var v1 = thisVector;
var v2 = otherVector;
//Find each component
var xProduct1 = v1.Y * v2.Z;
var xProduct2 = v1.Z * v2.Y;
var yProduct1 = v1.Z * v2.X;
var yProduct2 = v1.X * v2.Z;
var zProduct1 = v1.X * v2.Y;
var zProduct2 = v1.Y * v2.X;
var newX = (xProduct1) - (xProduct2);
var newY = (yProduct1) - (yProduct2);
var newZ = (zProduct1) - (zProduct2);
return(new FreeVector(newX, newY, newZ));
}
/// <summary>
/// Returns the cross product of the 2 vectors
/// which is always perpendicular to both vectors
/// and whose magnitude is the area of the parellelogram spanned by those two vectors
/// Consequently if they point in the same (or opposite) direction, than the cross product is zero
/// </summary>
public static FreeVector CrossProduct(this FreeVector thisVector, FreeVector otherVector)
{
var v1 = thisVector;
var v2 = otherVector;
//Find each component
double xProduct1 = v1.Y.InInches() * v2.Z.InInches();
double xProduct2 = v1.Z.InInches() * v2.Y.InInches();
double yProduct1 = v1.Z.InInches() * v2.X.InInches();
double yProduct2 = v1.X.InInches() * v2.Z.InInches();
double zProduct1 = v1.X.InInches() * v2.Y.InInches();
double zProduct2 = v1.Y.InInches() * v2.X.InInches();
double newX = (xProduct1) - (xProduct2);
double newY = (yProduct1) - (yProduct2);
double newZ = (zProduct1) - (zProduct2);
return(FreeVector.MakeWithInches(newX, newY, newZ));
}
/// <summary>
/// Constructs the direction of the given vector.
/// </summary>
public Direction(FreeVector vector)
{
this._vector = new DoubleVector(vector.X.InInches(), vector.Y.InInches(), vector.Z.InInches());
Normalized = Normalize(_vector);
}
/// <summary>
/// Creates the corresponding bound vector using the origin as the base point.
/// </summary>
public Vector(FreeVector vector) : this(Point.Origin, vector.Direction, vector.GetMagnitude())
{
}
public static Shift FromVector(FreeVector translation) => new Shift(translation);
/// <summary>
/// Creates a new line segment with the given BasePoint in the same direction and magnitude as the passed vector
/// </summary>
public LineSegment([NotNull] Point basePoint, FreeVector passedVector)
: this(basePoint, basePoint.Translate(passedVector), passedVector)
{
}
public new Rectangle Translate(FreeVector vector)
{
return(new Rectangle(this.Translate <Polygon>(vector), ValidateOption.Dont));
}
public Polyhedron Translate(FreeVector translation)
{
return(new Polyhedron(this.Faces.Translate(translation), ValidateOption.Dont));
}
/// <summary> /// Translates the line the given distance in the given direction /// </summary> /// <returns></returns> public Line Translate(FreeVector translation) => ApplyAffineTransformation(translation.AsAffineTransformation());
public static List <T> Translate <T>(this IEnumerable <T> items, FreeVector translation)
where T : IShift <T>
{
return(items.Select(item => item.Translate(translation)).ToList());
}
public new Polygon Translate(FreeVector translation)
{
return(new Polygon(this.Vertices.Translate(translation), ValidateOption.Dont));
}
internal static void PostTranslateBy(this double[,] matrix, FreeVector vector)
{
matrix[0, 3] += vector.X.InInches();
matrix[1, 3] += vector.Y.InInches();
matrix[2, 3] += vector.Z.InInches();
}
public Point Translate(FreeVector translation)
{
return(this + translation);
}
private LineSegment(Point basePoint, Point endPoint, FreeVector vector)
: this(basePoint, endPoint, vector.Direction, vector.GetMagnitude())
{
}
public Plane Translate(FreeVector translation) => ApplyIsometry(translation);
internal static void ConjugateByTranslation(this double[,] matrix, FreeVector vector)
{
matrix.PreTranslateBy(vector.Negate());
matrix.PostTranslateBy(vector);
}
public static DoubleVector ToVectorInInches(this FreeVector vector) => new DoubleVector(vector.X.InInches(), vector.Y.InInches(), vector.Z.InInches());
public static T Translate <T>(this T item, FreeVector translation)
where T : IShift <T>
{
return(item.Translate(translation));
}