/// <inheritdoc/>
public override Point3D Deproject(Point point, Line3DElement line)
{
Point3D rotatedPoint = new Point3D(point.X / ScaleFactor, point.Y / ScaleFactor, 0);
Point3D projectedPoint = RotationMatrix.Inverse() * (CameraRotationMatrix.Inverse() * rotatedPoint);
Point3D cameraPlanePoint = projectedPoint + (Vector3D)this.Position;
NormalizedVector3D v = this.Direction;
NormalizedVector3D l = (line[1] - line[0]).Normalize();
double t;
if (v.X * l.Y - v.Y * l.X != 0)
{
t = (l.X * (cameraPlanePoint.Y - line[0].Y) - l.Y * (cameraPlanePoint.X - line[0].X)) / (v.X * l.Y - v.Y * l.X);
}
else if (v.Z * l.Y - v.Y * l.Z != 0)
{
t = (l.Z * (cameraPlanePoint.Y - line[0].Y) - l.Y * (cameraPlanePoint.Z - line[0].Z)) / (v.Z * l.Y - v.Y * l.Z);
}
else if (v.Z * l.X - v.X * l.Z != 0)
{
t = (l.Z * (cameraPlanePoint.X - line[0].X) - l.X * (cameraPlanePoint.Z - line[0].Z)) / (v.Z * l.X - v.X * l.Z);
}
else
{
throw new Exception("The lines do not intersect!");
}
Point3D pt = cameraPlanePoint + v * t;
return(pt);
}
/// <summary>
/// Applies the transformation to a <see cref="Line3DElement"/>.
/// </summary>
/// <param name="line">The <see cref="Line3DElement"/> to which the transformation should be applied.</param>
/// <returns>A <see cref="Line3DElement"/> corresponding to a line in which the transformation has been applied to the points from <paramref name="line" />. Properties are preserved between the two elements.</returns>
public Line3DElement Apply(Line3DElement line)
{
Point3D p1 = this.Apply(line.Point1);
Point3D p2 = this.Apply(line.Point2);
Line3DElement tbr = new Line3DElement(p1, p2)
{
Colour = line.Colour, LineCap = line.LineCap, LineDash = line.LineDash, Thickness = line.Thickness, Tag = line.Tag, ZIndex = line.ZIndex
};
return(tbr);
}
private unsafe void DrawLine(byte *imageData, Line3DElement line, Camera camera)
{
Point[] line2D = line.GetProjection();
int minX = int.MaxValue;
int minY = int.MaxValue;
int maxX = int.MinValue;
int maxY = int.MinValue;
for (int i = 0; i < line2D.Length; i++)
{
line2D[i] = new Point((line2D[i].X - camera.TopLeft.X) / camera.Size.Width * this.RenderWidth, (line2D[i].Y - camera.TopLeft.Y) / camera.Size.Height * this.RenderHeight);
minX = Math.Min(minX, (int)line2D[i].X);
minY = Math.Min(minY, (int)line2D[i].Y);
maxX = Math.Max(maxX, (int)Math.Ceiling(line2D[i].X));
maxY = Math.Max(maxY, (int)Math.Ceiling(line2D[i].Y));
}
double thicknessX = line.Thickness * 0.5 / camera.Size.Width * this.RenderWidth;
double thicknessY = line.Thickness * 0.5 / camera.Size.Height * this.RenderHeight;
double thicknessSquare = thicknessY * thicknessX;
double thickness = Math.Sqrt(thicknessSquare);
minX = (int)Math.Floor(minX - thicknessX);
minY = (int)Math.Floor(minY - thicknessY);
maxX = (int)Math.Ceiling(maxX + thicknessX);
maxY = (int)Math.Ceiling(maxY + thicknessY);
minX = Math.Max(minX, 0);
minY = Math.Max(minY, 0);
maxX = Math.Min(maxX, this.RenderWidth - 1);
maxY = Math.Min(maxY, this.RenderHeight - 1);
int totalPixels = (maxX - minX + 1) * (maxY - minY + 1);
double lineLengthSq = (line2D[1].X - line2D[0].X) * (line2D[1].X - line2D[0].X) + (line2D[1].Y - line2D[0].Y) * (line2D[1].Y - line2D[0].Y);
double lineLength = Math.Sqrt(lineLengthSq);
double addedTerm = line2D[1].X * line2D[0].Y - line2D[1].Y * line2D[0].X;
double dy = line2D[1].Y - line2D[0].Y;
double dx = line2D[1].X - line2D[0].X;
double unitsOn = (line.LineDash.UnitsOn / line.Thickness * thickness * 2) / lineLength;
double unitsOff = (line.LineDash.UnitsOff / line.Thickness * thickness * 2) / lineLength;
double phase = (line.LineDash.Phase / line.Thickness * thickness * 2) / lineLength;
bool dashOn(double t)
{
if (unitsOff == 0)
{
return(true);
}
else
{
t += phase;
t = t % (unitsOn + unitsOff);
while (t < 0)
{
t += unitsOn + unitsOff;
}
return(t <= unitsOn);
}
};
Parallel.For(0, totalPixels, index =>
{
int y = index / (maxX - minX + 1) + minY;
int x = index % (maxX - minX + 1) + minX;
double dist = Math.Abs(dy * x - dx * y + addedTerm) / lineLength;
double howMuch = dist <= thickness ? 1 : Math.Max(0, 1 - (dist - thickness));
if (howMuch > 0)
{
(double t, Point pointOnLine) = Intersections2D.ProjectOnSegment(x, y, line2D[0], line2D[1]);
if (line.LineCap == LineCaps.Butt)
{
if (t < 0)
{
howMuch *= Math.Max(0, 1 + t * lineLength);
}
else if (t > 1)
{
howMuch *= Math.Max(0, 1 - (t - 1) * lineLength);
}
}
else if (line.LineCap == LineCaps.Square)
{
if (t < -thickness / lineLength)
{
howMuch *= Math.Max(0, 1 + (t + thickness / lineLength) * lineLength);
}
else if (t > 1 + thickness / lineLength)
{
howMuch *= Math.Max(0, 1 - (t - thickness / lineLength - 1) * lineLength);
}
}
else if (line.LineCap == LineCaps.Round)
{
if (t < -(thickness + 1) / lineLength || t > 1 + (thickness + 1) / lineLength)
{
howMuch = 0;
}
else if (t < 0)
{
double tipDist = (x - line2D[0].X) * (x - line2D[0].X) + (y - line2D[0].Y) * (y - line2D[0].Y);
howMuch *= tipDist <= thicknessSquare ? 1 : Math.Max(0, 1 - (Math.Sqrt(tipDist) - thickness));
}
else if (t > 1)
{
double tipDist = (x - line2D[1].X) * (x - line2D[1].X) + (y - line2D[1].Y) * (y - line2D[1].Y);
howMuch *= tipDist <= thicknessSquare ? 1 : Math.Max(0, 1 - (Math.Sqrt(tipDist) - thickness));
}
}
if (howMuch > 0 && dashOn(t))
{
Point3D correspPoint = camera.Deproject(new Point((double)pointOnLine.X / this.RenderWidth * camera.Size.Width + camera.TopLeft.X, (double)pointOnLine.Y / this.RenderHeight * camera.Size.Height + camera.TopLeft.Y), line);
double zDepth = camera.ZDepth(correspPoint);
int prevZIndexBuffer = ZIndexBuffer[y * RenderWidth + x];
if (prevZIndexBuffer < line.ZIndex || (prevZIndexBuffer == line.ZIndex && ZBuffer[y * RenderWidth + x] >= zDepth))
{
byte R = (byte)(line.Colour.R * 255);
byte G = (byte)(line.Colour.G * 255);
byte B = (byte)(line.Colour.B * 255);
byte A = (byte)(line.Colour.A * 255 * howMuch);
if (A == 255)
{
imageData[y * RenderWidth * 4 + x * 4] = R;
imageData[y * RenderWidth * 4 + x * 4 + 1] = G;
imageData[y * RenderWidth * 4 + x * 4 + 2] = B;
imageData[y * RenderWidth * 4 + x * 4 + 3] = A;
}
else
{
BlendFront(ref imageData[y * RenderWidth * 4 + x * 4], ref imageData[y * RenderWidth * 4 + x * 4 + 1], ref imageData[y * RenderWidth * 4 + x * 4 + 2], ref imageData[y * RenderWidth * 4 + x * 4 + 3], R, G, B, A);
}
ZBuffer[y * RenderWidth + x] = zDepth;
ZIndexBuffer[y * RenderWidth + x] = line.ZIndex;
}
else if (imageData[y * RenderWidth * 4 + x * 4 + 3] < 255)
{
byte R = (byte)(line.Colour.R * 255);
byte G = (byte)(line.Colour.G * 255);
byte B = (byte)(line.Colour.B * 255);
byte A = (byte)(line.Colour.A * 255 * howMuch);
BlendBack(R, G, B, A, ref imageData[y * RenderWidth * 4 + x * 4], ref imageData[y * RenderWidth * 4 + x * 4 + 1], ref imageData[y * RenderWidth * 4 + x * 4 + 2], ref imageData[y * RenderWidth * 4 + x * 4 + 3]);
}
}
}
});
}
private IEnumerable <Element3D> Resample(Camera camera, Element3D element, double maxSize)
{
if (element is Point3DElement)
{
yield return(element);
}
else if (element is Line3DElement line)
{
if (this.ResampleLines)
{
Point p1 = camera.Project(line.Point1);
Point p2 = camera.Project(line.Point2);
if ((p1.X - p2.X) * (p1.X - p2.X) + (p1.Y - p2.Y) * (p1.Y - p2.Y) > maxSize)
{
Point3D half = (Point3D)(((Vector3D)line.Point1 + (Vector3D)line.Point2) * 0.5);
Line3DElement line1 = new Line3DElement(line.Point1, half)
{
Colour = line.Colour, LineCap = line.LineCap, LineDash = line.LineDash, Tag = line.Tag, Thickness = line.Thickness, ZIndex = line.ZIndex
};
Line3DElement line2 = new Line3DElement(half, line.Point2)
{
Colour = line.Colour, LineCap = line.LineCap, LineDash = line.LineDash, Tag = line.Tag, Thickness = line.Thickness, ZIndex = line.ZIndex
};
foreach (Element3D el in Resample(camera, line1, maxSize))
{
yield return(el);
}
foreach (Element3D el in Resample(camera, line2, maxSize))
{
yield return(el);
}
}
else
{
yield return(element);
}
}
else
{
yield return(element);
}
}
else if (element is Triangle3DElement triangle && element is IVectorRendererTriangle3DElement vectorRendererTriangle)
{
Point p1 = camera.Project(triangle.Point1);
Point p2 = camera.Project(triangle.Point2);
Point p3 = camera.Project(triangle.Point3);
double area = 0.5 * Math.Abs((p2.X - p1.X) * (p3.Y - p1.Y) - (p2.Y - p1.Y) * (p3.X - p1.X));
if (area > maxSize)
{
Point3D proj12 = (Point3D)((triangle.Point2 - triangle.Point1) * 0.5 + triangle.Point1);
Point3D proj23 = (Point3D)((triangle.Point3 - triangle.Point2) * 0.5 + triangle.Point2);
Point3D proj31 = (Point3D)((triangle.Point1 - triangle.Point3) * 0.5 + triangle.Point3);
NormalizedVector3D proj12Normal = (triangle.Point1Normal * 0.5 + triangle.Point2Normal * 0.5).Normalize();
NormalizedVector3D proj23Normal = (triangle.Point2Normal * 0.5 + triangle.Point3Normal * 0.5).Normalize();
NormalizedVector3D proj31Normal = (triangle.Point3Normal * 0.5 + triangle.Point1Normal * 0.5).Normalize();
VectorRendererTriangle3DElement t1 = new VectorRendererTriangle3DElement(triangle.Point1, proj12, proj31, triangle.Point1Normal, proj12Normal, proj31Normal)
{
Tag = triangle.Tag, ZIndex = triangle.ZIndex, OverFill = vectorRendererTriangle.OverFill, CastsShadow = triangle.CastsShadow, ReceivesShadow = triangle.ReceivesShadow
};
t1.Fill.AddRange(triangle.Fill);
t1.Parent = vectorRendererTriangle.Parent ?? triangle;
VectorRendererTriangle3DElement t2 = new VectorRendererTriangle3DElement(triangle.Point2, proj23, proj12, triangle.Point2Normal, proj23Normal, proj12Normal)
{
Tag = triangle.Tag, ZIndex = triangle.ZIndex, OverFill = vectorRendererTriangle.OverFill, CastsShadow = triangle.CastsShadow, ReceivesShadow = triangle.ReceivesShadow
};
t2.Fill.AddRange(triangle.Fill);
t2.Parent = vectorRendererTriangle.Parent ?? triangle;
VectorRendererTriangle3DElement t3 = new VectorRendererTriangle3DElement(triangle.Point3, proj31, proj23, triangle.Point3Normal, proj31Normal, proj23Normal)
{
Tag = triangle.Tag, ZIndex = triangle.ZIndex, OverFill = vectorRendererTriangle.OverFill, CastsShadow = triangle.CastsShadow, ReceivesShadow = triangle.ReceivesShadow
};
t3.Fill.AddRange(triangle.Fill);
t3.Parent = vectorRendererTriangle.Parent ?? triangle;
VectorRendererTriangle3DElement t4 = new VectorRendererTriangle3DElement(proj12, proj23, proj31, proj12Normal, proj23Normal, proj31Normal)
{
Tag = triangle.Tag, ZIndex = triangle.ZIndex, OverFill = vectorRendererTriangle.OverFill, CastsShadow = triangle.CastsShadow, ReceivesShadow = triangle.ReceivesShadow
};
t4.Fill.AddRange(triangle.Fill);
t4.Parent = vectorRendererTriangle.Parent ?? triangle;
foreach (Element3D el in Resample(camera, t1, maxSize))
{
yield return(el);
}
foreach (Element3D el in Resample(camera, t2, maxSize))
{
yield return(el);
}
foreach (Element3D el in Resample(camera, t3, maxSize))
{
yield return(el);
}
foreach (Element3D el in Resample(camera, t4, maxSize))
{
yield return(el);
}
}
else
{
yield return(element);
}
}
}
/// <summary> /// Projects a <see cref="Point"/> in 2D units to obtain the corresponding <see cref="Point3D"/> on the specified element. /// </summary> /// <param name="point">The <see cref="Point"/> to project.</param> /// <param name="element">The <see cref="Line3DElement"/> on which the point should be projected.</param> /// <returns>A <see cref="Point3D"/> corresponding to the point on <paramref name="element"/> that, when projected with the current camera, corresponds to <paramref name="point"/>.</returns> public abstract Point3D Deproject(Point point, Line3DElement element);
public LineEnumerator(Line3DElement line)
{
this.Line = line;
}