/// <summary>
/// Moves, scales, and/or rotates the current attribute given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>Matrix3 adopts the convention of using column vectors to represent a transformation matrix.</remarks>
public void TransformBy(Matrix3 transformation, Vector3 translation)
{
bool mirrText;
if (this.Owner == null)
{
mirrText = Text.DefaultMirrText;
}
else if (this.Owner.Owner == null)
{
mirrText = Text.DefaultMirrText;
}
else
{
mirrText = this.Owner.Owner.Record.Owner.Owner.DrawingVariables.MirrText;
}
Vector3 newPosition = transformation * this.Position + translation;
Vector3 newNormal = transformation * this.Normal;
if (Vector3.Equals(Vector3.Zero, newNormal))
{
newNormal = this.Normal;
}
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal);
transWO = transWO.Transpose();
List <Vector2> uv = MathHelper.Transform(
new[]
{
this.WidthFactor * this.Height * Vector2.UnitX,
new Vector2(this.Height * Math.Tan(this.ObliqueAngle * MathHelper.DegToRad), this.Height)
},
this.Rotation * MathHelper.DegToRad,
CoordinateSystem.Object, CoordinateSystem.World);
Vector3 v;
v = transOW * new Vector3(uv[0].X, uv[0].Y, 0.0);
v = transformation * v;
v = transWO * v;
Vector2 newUvector = new Vector2(v.X, v.Y);
v = transOW * new Vector3(uv[1].X, uv[1].Y, 0.0);
v = transformation * v;
v = transWO * v;
Vector2 newVvector = new Vector2(v.X, v.Y);
double newRotation = Vector2.Angle(newUvector) * MathHelper.RadToDeg;
double newObliqueAngle = Vector2.Angle(newVvector) * MathHelper.RadToDeg;
if (mirrText)
{
if (Vector2.CrossProduct(newUvector, newVvector) < 0)
{
newObliqueAngle = 90 - (newRotation - newObliqueAngle);
if (!(this.Alignment == TextAlignment.Fit || this.Alignment == TextAlignment.Aligned))
{
newRotation += 180;
}
this.IsBackward = !this.IsBackward;
}
else
{
newObliqueAngle = 90 + (newRotation - newObliqueAngle);
}
}
else
{
if (Vector2.CrossProduct(newUvector, newVvector) < 0.0)
{
newObliqueAngle = 90 - (newRotation - newObliqueAngle);
if (Vector2.DotProduct(newUvector, uv[0]) < 0.0)
{
newRotation += 180;
switch (this.Alignment)
{
case TextAlignment.TopLeft:
this.Alignment = TextAlignment.TopRight;
break;
case TextAlignment.TopRight:
this.Alignment = TextAlignment.TopLeft;
break;
case TextAlignment.MiddleLeft:
this.Alignment = TextAlignment.MiddleRight;
break;
case TextAlignment.MiddleRight:
this.Alignment = TextAlignment.MiddleLeft;
break;
case TextAlignment.BaselineLeft:
this.Alignment = TextAlignment.BaselineRight;
break;
case TextAlignment.BaselineRight:
this.Alignment = TextAlignment.BaselineLeft;
break;
case TextAlignment.BottomLeft:
this.Alignment = TextAlignment.BottomRight;
break;
case TextAlignment.BottomRight:
this.Alignment = TextAlignment.BottomLeft;
break;
}
}
else
{
switch (this.Alignment)
{
case TextAlignment.TopLeft:
this.Alignment = TextAlignment.BottomLeft;
break;
case TextAlignment.TopCenter:
this.Alignment = TextAlignment.BottomCenter;
break;
case TextAlignment.TopRight:
this.Alignment = TextAlignment.BottomRight;
break;
case TextAlignment.BottomLeft:
this.Alignment = TextAlignment.TopLeft;
break;
case TextAlignment.BottomCenter:
this.Alignment = TextAlignment.TopCenter;
break;
case TextAlignment.BottomRight:
this.Alignment = TextAlignment.TopRight;
break;
}
}
}
else
{
newObliqueAngle = 90 + (newRotation - newObliqueAngle);
}
}
// the oblique angle is defined between -85 and 85 degrees
newObliqueAngle = MathHelper.NormalizeAngle(newObliqueAngle);
if (newObliqueAngle > 180)
{
newObliqueAngle = 180 - newObliqueAngle;
}
if (newObliqueAngle < -85)
{
newObliqueAngle = -85;
}
else if (newObliqueAngle > 85)
{
newObliqueAngle = 85;
}
// the height must be greater than zero, the cos is always positive between -85 and 85
double newHeight = newVvector.Modulus() * Math.Cos(newObliqueAngle * MathHelper.DegToRad);
newHeight = MathHelper.IsZero(newHeight) ? MathHelper.Epsilon : newHeight;
// the width factor is defined between 0.01 and 100
double newWidthFactor = newUvector.Modulus() / newHeight;
if (newWidthFactor < 0.01)
{
newWidthFactor = 0.01;
}
else if (newWidthFactor > 100)
{
newWidthFactor = 100;
}
this.Position = newPosition;
this.Normal = newNormal;
this.Rotation = newRotation;
this.Height = newHeight;
this.WidthFactor = newWidthFactor;
this.ObliqueAngle = newObliqueAngle;
}
/// <summary>
/// Moves, scales, and/or rotates the current entity given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>
/// Non-uniform scaling is not supported, it would require to decompose each line into independent Text entities.
/// When the current MText entity does not belong to a DXF document, the text will be mirrored by default when a symmetry is performed;
/// otherwise, the drawing variable MirrText will be used.
/// </remarks>
public override void TransformBy(Matrix3 transformation, Vector3 translation)
{
bool mirrText = this.Owner == null ? DefaultMirrText : this.Owner.Record.Owner.Owner.DrawingVariables.MirrText;
Vector3 newPosition;
Vector3 newNormal;
Vector2 newUvector;
Vector2 newVvector;
double scale;
double newHeight;
double newRotation;
newPosition = transformation * this.Position + translation;
newNormal = transformation * this.Normal;
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal);
transWO = transWO.Transpose();
List <Vector2> uv = MathHelper.Transform(new List <Vector2>
{
Vector2.UnitX,
Vector2.UnitY
},
this.Rotation * MathHelper.DegToRad,
CoordinateSystem.Object, CoordinateSystem.World);
Vector3 v;
v = transOW * new Vector3(uv[0].X, uv[0].Y, 0.0);
v = transformation * v;
v = transWO * v;
newUvector = new Vector2(v.X, v.Y);
v = transOW * new Vector3(uv[1].X, uv[1].Y, 0.0);
v = transformation * v;
v = transWO * v;
newVvector = new Vector2(v.X, v.Y);
newRotation = Vector2.Angle(newUvector) * MathHelper.RadToDeg;
if (mirrText)
{
if (Vector2.CrossProduct(newUvector, newVvector) < 0.0)
{
newRotation += 180;
newNormal = -newNormal;
}
}
else
{
if (Vector2.CrossProduct(newUvector, newVvector) < 0.0)
{
if (Vector2.DotProduct(newUvector, uv[0]) < 0.0)
{
newRotation += 180;
switch (this.AttachmentPoint)
{
case MTextAttachmentPoint.TopLeft:
this.AttachmentPoint = MTextAttachmentPoint.TopRight;
break;
case MTextAttachmentPoint.TopRight:
this.AttachmentPoint = MTextAttachmentPoint.TopLeft;
break;
case MTextAttachmentPoint.MiddleLeft:
this.AttachmentPoint = MTextAttachmentPoint.MiddleRight;
break;
case MTextAttachmentPoint.MiddleRight:
this.AttachmentPoint = MTextAttachmentPoint.MiddleLeft;
break;
case MTextAttachmentPoint.BottomLeft:
this.AttachmentPoint = MTextAttachmentPoint.BottomRight;
break;
case MTextAttachmentPoint.BottomRight:
this.AttachmentPoint = MTextAttachmentPoint.BottomLeft;
break;
}
}
else
{
switch (this.AttachmentPoint)
{
case MTextAttachmentPoint.TopLeft:
this.AttachmentPoint = MTextAttachmentPoint.BottomLeft;
break;
case MTextAttachmentPoint.TopCenter:
this.attachmentPoint = MTextAttachmentPoint.BottomCenter;
break;
case MTextAttachmentPoint.TopRight:
this.AttachmentPoint = MTextAttachmentPoint.BottomRight;
break;
case MTextAttachmentPoint.BottomLeft:
this.AttachmentPoint = MTextAttachmentPoint.TopLeft;
break;
case MTextAttachmentPoint.BottomCenter:
this.attachmentPoint = MTextAttachmentPoint.TopCenter;
break;
case MTextAttachmentPoint.BottomRight:
this.AttachmentPoint = MTextAttachmentPoint.TopRight;
break;
}
}
}
}
// the MText entity does not support non-uniform scaling
scale = newNormal.Modulus();
newHeight = this.Height * scale;
newHeight = MathHelper.IsZero(newHeight) ? MathHelper.Epsilon : newHeight;
this.Position = newPosition;
this.Normal = newNormal;
this.Rotation = newRotation;
this.Height = newHeight;
this.RectangleWidth *= scale;
}
public void TransformBy2(Matrix3 transformation, Vector3 translation)
{
Vector3 newPosition;
Vector3 newNormal;
Vector2 newUvector;
Vector2 newVvector;
double newWidthFactor;
double newHeight;
double newRotation;
double newObliqueAngle;
bool reverseText;
newPosition = transformation * this.Position + translation;
newNormal = transformation * this.Normal;
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal);
transWO = transWO.Transpose();
List <Vector2> uv = MathHelper.Transform(new List <Vector2>
{
this.WidthFactor * this.Height * Vector2.UnitX,
new Vector2(this.Height * Math.Tan(this.ObliqueAngle * MathHelper.DegToRad), this.Height)
},
this.Rotation * MathHelper.DegToRad,
CoordinateSystem.Object, CoordinateSystem.World);
Vector3 v;
v = transOW * new Vector3(uv[0].X, uv[0].Y, 0.0);
v = transformation * v;
v = transWO * v;
newUvector = new Vector2(v.X, v.Y);
v = transOW * new Vector3(uv[1].X, uv[1].Y, 0.0);
v = transformation * v;
v = transWO * v;
newVvector = new Vector2(v.X, v.Y);
newRotation = Vector2.Angle(newUvector) * MathHelper.RadToDeg;
newObliqueAngle = Vector2.Angle(newVvector) * MathHelper.RadToDeg;
if (Vector2.CrossProduct(newUvector, newVvector) < 0)
{
newObliqueAngle = 90 - (newRotation - newObliqueAngle);
newRotation += 180;
reverseText = true;
}
else
{
newObliqueAngle = 90 + (newRotation - newObliqueAngle);
reverseText = false;
}
if (newObliqueAngle >= 360)
{
newObliqueAngle -= 360;
}
// the oblique angle is defined between -85 nad 85 degrees
if (newObliqueAngle > 180)
{
newObliqueAngle = 180 - newObliqueAngle;
}
if (newObliqueAngle < -85)
{
newObliqueAngle = -85;
}
else if (newObliqueAngle > 85)
{
newObliqueAngle = 85;
}
// the height must be greater than zero, the cos is always positive between -85 and 85
newHeight = newVvector.Modulus() * Math.Cos(newObliqueAngle * MathHelper.DegToRad);
newHeight = MathHelper.IsZero(newHeight) ? MathHelper.Epsilon : newHeight;
// the width factor is defined between 0.01 nad 100
newWidthFactor = newUvector.Modulus() / newHeight;
if (newWidthFactor < 0.01)
{
newWidthFactor = 0.01;
}
else if (newWidthFactor > 100)
{
newWidthFactor = 100;
}
this.Position = newPosition;
this.Normal = newNormal;
this.Rotation = newRotation;
this.Height = newHeight;
this.WidthFactor = newWidthFactor;
this.ObliqueAngle = newObliqueAngle;
if (reverseText)
{
this.IsBackward = !this.IsBackward;
}
}
/// <summary>
/// Moves, scales, and/or rotates the current entity given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>
/// Non-uniform and zero scaling local to the dimension entity are not supported.<br />
/// The transformation will not be applied if the resulting reference lines are parallel.<br />
/// Matrix3 adopts the convention of using column vectors to represent a transformation matrix.
/// </remarks>
public override void TransformBy(Matrix3 transformation, Vector3 translation)
{
Vector3 newNormal = transformation * this.Normal;
if (Vector3.Equals(Vector3.Zero, newNormal))
{
newNormal = this.Normal;
}
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal).Transpose();
Vector3 v = transOW * new Vector3(this.StartFirstLine.X, this.StartFirstLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
Vector2 newStart1 = new Vector2(v.X, v.Y);
double newElevation = v.Z;
v = transOW * new Vector3(this.EndFirstLine.X, this.EndFirstLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
Vector2 newEnd1 = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.StartSecondLine.X, this.StartSecondLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
Vector2 newStart2 = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.EndSecondLine.X, this.EndSecondLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
Vector2 newEnd2 = new Vector2(v.X, v.Y);
Vector2 dir1 = newEnd1 - newStart1;
Vector2 dir2 = newEnd2 - newStart2;
if (Vector2.AreParallel(dir1, dir2))
{
Debug.Assert(false, "The transformation cannot be applied, the resulting reference lines are parallel.");
return;
}
v = transOW * new Vector3(this.ArcDefinitionPoint.X, this.ArcDefinitionPoint.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
Vector2 newArcDefPoint = new Vector2(v.X, v.Y);
if (this.TextPositionManuallySet)
{
v = transOW * new Vector3(this.textRefPoint.X, this.textRefPoint.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
this.textRefPoint = new Vector2(v.X, v.Y);
}
v = transOW * new Vector3(this.defPoint.X, this.defPoint.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
this.defPoint = new Vector2(v.X, v.Y);
this.StartFirstLine = newStart1;
this.EndFirstLine = newEnd1;
this.StartSecondLine = newStart2;
this.EndSecondLine = newEnd2;
this.ArcDefinitionPoint = newArcDefPoint;
this.Elevation = newElevation;
this.Normal = newNormal;
this.SetDimensionLinePosition(newArcDefPoint);
}
/// <summary>
/// Decompose the actual polyline in its internal entities, <see cref="Line">lines</see> and <see cref="Arc">arcs</see>.
/// </summary>
/// <returns>A list of <see cref="Line">lines</see> and <see cref="Arc">arcs</see> that made up the polyline.</returns>
public List <EntityObject> Explode()
{
List <EntityObject> entities = new List <EntityObject>();
if (this.smoothType == PolylineSmoothType.NoSmooth)
{
int index = 0;
foreach (Polyline2DVertex vertex in this.Vertexes)
{
double bulge = vertex.Bulge;
Vector2 p1;
Vector2 p2;
if (index == this.Vertexes.Count - 1)
{
if (!this.IsClosed)
{
break;
}
p1 = new Vector2(vertex.Position.X, vertex.Position.Y);
p2 = new Vector2(this.vertexes[0].Position.X, this.vertexes[0].Position.Y);
}
else
{
p1 = new Vector2(vertex.Position.X, vertex.Position.Y);
p2 = new Vector2(this.vertexes[index + 1].Position.X, this.vertexes[index + 1].Position.Y);
}
if (MathHelper.IsZero(bulge))
{
// the polyline edge is a line
Vector3 start = MathHelper.Transform(new Vector3(p1.X, p1.Y, this.elevation), this.Normal, CoordinateSystem.Object, CoordinateSystem.World);
Vector3 end = MathHelper.Transform(new Vector3(p2.X, p2.Y, this.elevation), this.Normal, CoordinateSystem.Object, CoordinateSystem.World);
entities.Add(new Line
{
Layer = (Layer)this.Layer.Clone(),
Linetype = (Linetype)this.Linetype.Clone(),
Color = (AciColor)this.Color.Clone(),
Lineweight = this.Lineweight,
Transparency = (Transparency)this.Transparency.Clone(),
LinetypeScale = this.LinetypeScale,
Normal = this.Normal,
StartPoint = start,
EndPoint = end,
Thickness = this.Thickness
});
}
else
{
// the polyline edge is an arc
double theta = 4 * Math.Atan(Math.Abs(bulge));
double c = Vector2.Distance(p1, p2) / 2.0;
double r = c / Math.Sin(theta / 2.0);
// avoid arcs with very small radius, draw a line instead
if (MathHelper.IsZero(r))
{
// the polyline edge is a line
List <Vector3> points = MathHelper.Transform(
new []
{
new Vector3(p1.X, p1.Y, this.elevation),
new Vector3(p2.X, p2.Y, this.elevation)
},
this.Normal,
CoordinateSystem.Object, CoordinateSystem.World);
entities.Add(new Line
{
Layer = (Layer)this.Layer.Clone(),
Linetype = (Linetype)this.Linetype.Clone(),
Color = (AciColor)this.Color.Clone(),
Lineweight = this.Lineweight,
Transparency = (Transparency)this.Transparency.Clone(),
LinetypeScale = this.LinetypeScale,
Normal = this.Normal,
StartPoint = points[0],
EndPoint = points[1],
Thickness = this.Thickness,
});
}
else
{
double gamma = (Math.PI - theta) / 2;
double phi = Vector2.Angle(p1, p2) + Math.Sign(bulge) * gamma;
Vector2 center = new Vector2(p1.X + r * Math.Cos(phi), p1.Y + r * Math.Sin(phi));
double startAngle;
double endAngle;
if (bulge > 0)
{
startAngle = MathHelper.RadToDeg * Vector2.Angle(p1 - center);
endAngle = startAngle + MathHelper.RadToDeg * theta;
}
else
{
endAngle = MathHelper.RadToDeg * Vector2.Angle(p1 - center);
startAngle = endAngle - MathHelper.RadToDeg * theta;
}
Vector3 point = MathHelper.Transform(new Vector3(center.X, center.Y,
this.elevation),
this.Normal,
CoordinateSystem.Object,
CoordinateSystem.World);
entities.Add(new Arc
{
Layer = (Layer)this.Layer.Clone(),
Linetype = (Linetype)this.Linetype.Clone(),
Color = (AciColor)this.Color.Clone(),
Lineweight = this.Lineweight,
Transparency = (Transparency)this.Transparency.Clone(),
LinetypeScale = this.LinetypeScale,
Normal = this.Normal,
Center = point,
Radius = r,
StartAngle = startAngle,
EndAngle = endAngle,
Thickness = this.Thickness,
});
}
}
index++;
}
return(entities);
}
Vector3[] wcsVertexes = new Vector3[this.vertexes.Count];
Matrix3 trans = MathHelper.ArbitraryAxis(this.Normal);
for (int i = 0; i < this.vertexes.Count; i++)
{
Vector3 wcsVertex = trans * new Vector3(this.vertexes[i].Position.X, this.vertexes[i].Position.Y, this.elevation);
wcsVertexes[i] = wcsVertex;
}
int degree = this.smoothType == PolylineSmoothType.Quadratic ? 2 : 3;
int splineSegs = this.Owner == null ? DefaultSplineSegs : this.Owner.Record.Owner.Owner.DrawingVariables.SplineSegs;
int precision = this.IsClosed ? splineSegs * this.Vertexes.Count : splineSegs * (this.Vertexes.Count - 1);
List <Vector3> splinePoints = Spline.NurbsEvaluator(wcsVertexes, null, null, degree, false, this.IsClosed, precision);
for (int i = 1; i < splinePoints.Count; i++)
{
Vector3 start = splinePoints[i - 1];
Vector3 end = splinePoints[i];
entities.Add(new Line
{
Layer = (Layer)this.Layer.Clone(),
Linetype = (Linetype)this.Linetype.Clone(),
Color = (AciColor)this.Color.Clone(),
Lineweight = this.Lineweight,
Transparency = (Transparency)this.Transparency.Clone(),
LinetypeScale = this.LinetypeScale,
Normal = this.Normal,
StartPoint = start,
EndPoint = end,
Thickness = this.Thickness
});
}
if (this.IsClosed)
{
entities.Add(new Line
{
Layer = (Layer)this.Layer.Clone(),
Linetype = (Linetype)this.Linetype.Clone(),
Color = (AciColor)this.Color.Clone(),
Lineweight = this.Lineweight,
Transparency = (Transparency)this.Transparency.Clone(),
LinetypeScale = this.LinetypeScale,
Normal = this.Normal,
StartPoint = splinePoints[splinePoints.Count - 1],
EndPoint = splinePoints[0],
Thickness = this.Thickness
});
}
return(entities);
}
/// <summary>
/// Moves, scales, and/or rotates the current attribute given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
public void TransformBy(Matrix3 transformation, Vector3 translation)
{
Vector3 newPosition;
Vector3 newNormal;
Vector2 newUvector;
Vector2 newVvector;
double newWidthFactor;
double newHeight;
double newRotation;
double newObliqueAngle;
newPosition = transformation * Position + translation;
newNormal = transformation * Normal;
Matrix3 transOW = MathHelper.ArbitraryAxis(Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal);
transWO = transWO.Transpose();
IList <Vector2> uv = MathHelper.Transform(new List <Vector2> {
WidthFactor *Height *Vector2.UnitX, Height *Vector2.UnitY
},
Rotation * MathHelper.DegToRad,
CoordinateSystem.Object, CoordinateSystem.World);
Vector3 v;
v = transOW * new Vector3(uv[0].X, uv[0].Y, 0.0);
v = transformation * v;
v = transWO * v;
newUvector = new Vector2(v.X, v.Y);
v = transOW * new Vector3(uv[1].X, uv[1].Y, 0.0);
v = transformation * v;
v = transWO * v;
newVvector = new Vector2(v.X, v.Y);
newRotation = Vector2.Angle(newUvector) * MathHelper.RadToDeg;
// the oblique angle is defined between -85 nad 85 degrees
newObliqueAngle = Vector2.Angle(newVvector) * MathHelper.RadToDeg;
newObliqueAngle = (newRotation + 90.0) - newObliqueAngle;
if (newObliqueAngle > 180)
{
newObliqueAngle = 180 - newObliqueAngle;
}
if (newObliqueAngle < -85)
{
newObliqueAngle = -85;
}
else if (newObliqueAngle > 85)
{
newObliqueAngle = 85;
}
// the height must be greater than zero, the cos is always positive between -85 and 85
newHeight = newVvector.Modulus() * Math.Cos(newObliqueAngle * MathHelper.DegToRad);
newHeight = MathHelper.IsZero(newHeight) ? MathHelper.Epsilon : newHeight;
// the width factor is defined between 0.01 nad 100
newWidthFactor = newUvector.Modulus() / newHeight;
if (newWidthFactor < 0.01)
{
newWidthFactor = 0.01;
}
else if (newWidthFactor > 100)
{
newWidthFactor = 100;
}
Position = newPosition;
Normal = newNormal;
Rotation = newRotation;
Height = newHeight;
WidthFactor = newWidthFactor;
ObliqueAngle = newObliqueAngle;
}
// TODO: apply the transformation directly to edges
//public void TransformBy2(Matrix3 transformation, Vector3 translation)
//{
// if (this.associative)
// {
// this.UnLinkBoundary();
// }
// Vector3 newNormal = transformation * this.Normal;
// if (Vector3.Equals(Vector3.Zero, newNormal))
// {
// newNormal = this.Normal;
// }
// Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
// Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal).Transpose();
// Vector3 position = transOW * new Vector3(0.0, 0.0, this.Elevation);
// foreach (HatchBoundaryPath path in this.BoundaryPaths)
// {
// foreach (HatchBoundaryPath.Edge edge in path.Edges)
// {
// switch (edge.Type)
// {
// case HatchBoundaryPath.EdgeType.Arc:
// break;
// case HatchBoundaryPath.EdgeType.Ellipse:
// break;
// case HatchBoundaryPath.EdgeType.Line:
// HatchBoundaryPath.Line line = (HatchBoundaryPath.Line)edge;
// Vector3 start = new Vector3(line.Start.X, line.Start.Y, 0.0);
// Vector3 end = new Vector3(line.End.X, line.End.Y, 0.0);
// // to world coordinates
// start = transOW * start + position;
// end = transOW * end + position;
// // transformation
// start = transformation * start + translation;
// end = transformation * end + translation;
// Vector3 point;
// point = transWO * start;
// line.Start = new Vector2(point.X, point.Y);
// point = transWO * end;
// line.End = new Vector2(point.X, point.Y);
// break;
// case HatchBoundaryPath.EdgeType.Polyline:
// break;
// case HatchBoundaryPath.EdgeType.Spline:
// break;
// }
// }
// }
// position = transformation * position + translation;
// position = transWO * position;
// Vector2 refAxis = Vector2.Rotate(Vector2.UnitX, this.Pattern.Angle * MathHelper.DegToRad);
// refAxis = this.Pattern.Scale * refAxis;
// Vector3 v = transOW * new Vector3(refAxis.X, refAxis.Y, 0.0);
// v = transformation * v;
// v = transWO * v;
// Vector2 axis = new Vector2(v.X, v.Y);
// double newAngle = Vector2.Angle(axis) * MathHelper.RadToDeg;
// double newScale = axis.Modulus();
// newScale = MathHelper.IsZero(newScale) ? MathHelper.Epsilon : newScale;
// this.Pattern.Scale = newScale;
// this.Pattern.Angle = newAngle;
// this.Elevation = position.Z;
// this.Normal = newNormal;
//}
/// <summary>
/// Moves, scales, and/or rotates the current entity given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>Matrix3 adopts the convention of using column vectors to represent a transformation matrix.</remarks>
public override void TransformBy(Matrix3 transformation, Vector3 translation)
{
if (this.associative)
{
this.UnLinkBoundary();
}
Vector3 newNormal = transformation * this.Normal;
if (Vector3.Equals(Vector3.Zero, newNormal))
{
newNormal = this.Normal;
}
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal).Transpose();
Vector3 position = transOW * new Vector3(0.0, 0.0, this.Elevation);
List <HatchBoundaryPath> paths = new List <HatchBoundaryPath>();
foreach (HatchBoundaryPath path in this.BoundaryPaths)
{
List <EntityObject> data = new List <EntityObject>();
foreach (HatchBoundaryPath.Edge edge in path.Edges)
{
EntityObject entity = edge.ConvertTo();
switch (entity.Type)
{
case EntityType.Arc:
entity = ProcessArc((Arc)entity, transOW, position);
break;
case EntityType.Circle:
entity = ProcessCircle((Circle)entity, transOW, position);
break;
case EntityType.Ellipse:
entity = ProcessEllipse((Ellipse)entity, transOW, position);
break;
case EntityType.Line:
entity = ProcessLine((Line)entity, transOW, position);
break;
case EntityType.Polyline2D:
entity = ProcessLwPolyline((Polyline2D)entity, this.Normal, this.Elevation);
break;
case EntityType.Spline:
entity = ProcessSpline((Spline)entity, transOW, position);
break;
}
entity.TransformBy(transformation, translation);
data.Add(entity);
}
paths.Add(new HatchBoundaryPath(data));
}
position = transformation * position + translation;
position = transWO * position;
Vector2 refAxis = Vector2.Rotate(Vector2.UnitX, this.Pattern.Angle * MathHelper.DegToRad);
refAxis = this.Pattern.Scale * refAxis;
Vector3 v = transOW * new Vector3(refAxis.X, refAxis.Y, 0.0);
v = transformation * v;
v = transWO * v;
Vector2 axis = new Vector2(v.X, v.Y);
double newAngle = Vector2.Angle(axis) * MathHelper.RadToDeg;
double newScale = axis.Modulus();
newScale = MathHelper.IsZero(newScale) ? MathHelper.Epsilon : newScale;
this.Pattern.Scale = newScale;
this.Pattern.Angle = newAngle;
this.Elevation = position.Z;
this.Normal = newNormal;
this.BoundaryPaths.Clear();
this.BoundaryPaths.AddRange(paths);
}
/// <summary>
/// Moves, scales, and/or rotates the current entity given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>Matrix3 adopts the convention of using column vectors to represent a transformation matrix.</remarks>
public override void TransformBy(Matrix3 transformation, Vector3 translation)
{
bool mirrorShape;
Vector3 newPosition = transformation * this.Position + translation;
Vector3 newNormal = transformation * this.Normal;
if (Vector3.Equals(Vector3.Zero, newNormal))
{
newNormal = this.Normal;
}
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal);
transWO = transWO.Transpose();
List <Vector2> uv = MathHelper.Transform(
new[]
{
Vector2.UnitX *this.WidthFactor *this.Size,
new Vector2(this.Size * Math.Tan(this.ObliqueAngle * MathHelper.DegToRad), this.Size)
},
this.Rotation * MathHelper.DegToRad,
CoordinateSystem.Object, CoordinateSystem.World);
Vector3 v;
v = transOW * new Vector3(uv[0].X, uv[0].Y, 0.0);
v = transformation * v;
v = transWO * v;
Vector2 newUvector = new Vector2(v.X, v.Y);
v = transOW * new Vector3(uv[1].X, uv[1].Y, 0.0);
v = transformation * v;
v = transWO * v;
Vector2 newVvector = new Vector2(v.X, v.Y);
double newRotation = Vector2.Angle(newUvector) * MathHelper.RadToDeg;
double newObliqueAngle = Vector2.Angle(newVvector) * MathHelper.RadToDeg;
if (Vector2.CrossProduct(newUvector, newVvector) < 0)
{
newRotation += 180;
newObliqueAngle = 270 - (newRotation - newObliqueAngle);
if (newObliqueAngle >= 360)
{
newObliqueAngle -= 360;
}
mirrorShape = true;
}
else
{
newObliqueAngle = 90 + (newRotation - newObliqueAngle);
mirrorShape = false;
}
// the oblique angle is defined between -85 and 85 degrees
if (newObliqueAngle > 180)
{
newObliqueAngle = 180 - newObliqueAngle;
}
if (newObliqueAngle < -85)
{
newObliqueAngle = -85;
}
else if (newObliqueAngle > 85)
{
newObliqueAngle = 85;
}
// the height must be greater than zero, the cos is always positive between -85 and 85
double newHeight = newVvector.Modulus() * Math.Cos(newObliqueAngle * MathHelper.DegToRad);
newHeight = MathHelper.IsZero(newHeight) ? MathHelper.Epsilon : newHeight;
// the width factor is defined between 0.01 and 100
double newWidthFactor = newUvector.Modulus() / newHeight;
if (newWidthFactor < 0.01)
{
newWidthFactor = 0.01;
}
else if (newWidthFactor > 100)
{
newWidthFactor = 100;
}
this.Position = newPosition;
this.Normal = newNormal;
this.Rotation = newRotation;
this.Size = newHeight;
this.WidthFactor = mirrorShape ? -newWidthFactor : newWidthFactor;
this.ObliqueAngle = mirrorShape ? -newObliqueAngle : newObliqueAngle;
}
/// <summary>
/// Moves, scales, and/or rotates the current entity given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>
/// Non-uniform scaling is not supported.
/// </remarks>
public override void TransformBy(Matrix3 transformation, Vector3 translation)
{
Vector2 newStart1;
Vector2 newEnd1;
Vector2 newStart2;
Vector2 newEnd2;
Vector2 newArcDefPoint;
Vector3 newNormal;
double newElevation;
double newScale;
newNormal = transformation * this.Normal;
newScale = newNormal.Modulus();
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal).Transpose();
Vector3 v = transOW * new Vector3(this.StartFirstLine.X, this.StartFirstLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
newStart1 = new Vector2(v.X, v.Y);
newElevation = v.Z;
v = transOW * new Vector3(this.EndFirstLine.X, this.EndFirstLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
newEnd1 = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.StartSecondLine.X, this.StartSecondLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
newStart2 = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.EndSecondLine.X, this.EndSecondLine.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
newEnd2 = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.ArcDefinitionPoint.X, this.ArcDefinitionPoint.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
newArcDefPoint = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.textRefPoint.X, this.textRefPoint.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
this.textRefPoint = new Vector2(v.X, v.Y);
v = transOW * new Vector3(this.defPoint.X, this.defPoint.Y, this.Elevation);
v = transformation * v + translation;
v = transWO * v;
this.defPoint = new Vector2(v.X, v.Y);
this.Offset *= newScale;
this.StartFirstLine = newStart1;
this.EndFirstLine = newEnd1;
this.StartSecondLine = newStart2;
this.EndSecondLine = newEnd2;
this.ArcDefinitionPoint = newArcDefPoint;
this.Elevation = newElevation;
this.Normal = newNormal;
}
/// <summary>
/// Moves, scales, and/or rotates the current entity given a 3x3 transformation matrix and a translation vector.
/// </summary>
/// <param name="transformation">Transformation matrix.</param>
/// <param name="translation">Translation vector.</param>
/// <remarks>
/// Non-uniform scaling for rotated underlays is not supported.
/// This is not a limitation of the code but the DXF format, unlike the Image there is no way to define the local UV vectors.
/// </remarks>
public override void TransformBy(Matrix3 transformation, Vector3 translation)
{
Vector3 newPosition;
Vector3 newNormal;
Vector2 newUvector;
Vector2 newVvector;
Vector2 newScale;
double newRotation;
newPosition = transformation * this.Position + translation;
newNormal = transformation * this.Normal;
Matrix3 transOW = MathHelper.ArbitraryAxis(this.Normal);
Matrix3 transWO = MathHelper.ArbitraryAxis(newNormal);
transWO = transWO.Transpose();
IList <Vector2> uv = MathHelper.Transform(new List <Vector2> {
this.Scale.X * Vector2.UnitX, this.Scale.Y * Vector2.UnitY
},
this.rotation * MathHelper.DegToRad,
CoordinateSystem.Object, CoordinateSystem.World);
int sign = Math.Sign(transformation.M11 * transformation.M22 * transformation.M33) < 0 ? -1 : 1;
Vector3 v;
v = transOW * new Vector3(uv[0].X, uv[0].Y, 0.0);
v = transformation * v;
v = transWO * v;
newUvector = new Vector2(v.X, v.Y);
v = transOW * new Vector3(uv[1].X, uv[1].Y, 0.0);
v = transformation * v;
v = transWO * v;
newVvector = new Vector2(v.X, v.Y);
double scaleX = sign * newUvector.Modulus();
scaleX = MathHelper.IsZero(scaleX) ? MathHelper.Epsilon : scaleX;
double scaleY = newVvector.Modulus();
scaleY = MathHelper.IsZero(scaleY) ? MathHelper.Epsilon : scaleY;
newScale = new Vector2(scaleX, scaleY);
newRotation = Vector2.Angle(sign * newUvector) * MathHelper.RadToDeg;
this.Position = newPosition;
this.Normal = newNormal;
this.Rotation = newRotation;
this.Scale = newScale;
//if (this.ClippingBoundary == null) return;
//List<Vector2> vertexes = new List<Vector2>();
//foreach (Vector2 vertex in this.ClippingBoundary.Vertexes)
//{
// v = transOW * new Vector3(vertex.X, vertex.Y, 0.0);
// v = transformation * v + translation;
// v = transWO * v;
// vertexes.Add(new Vector2(v.X, v.Y));
//}
//ClippingBoundary newClipping = this.ClippingBoundary.Type == ClippingBoundaryType.Rectangular
// ? new ClippingBoundary(vertexes[0], vertexes[1])
// : new ClippingBoundary(vertexes);
//this.ClippingBoundary = newClipping;
}