void Render()
{
CanvasFill.Children.Clear();
CanvasLines.Children.Clear();
if (GridSize.Elements() < 1 || this.ActualWidth == 0)
{
return;
}
float StepLength = (float)(this.ActualWidth / (GridSize.X + GridSize.Y)) / (float)Math.Sqrt(1f - 1f / AxisRatio / AxisRatio);
float2 StepZ = new float2(0, -StepLength);
float2 StepY = new float2(-(float)Math.Sqrt(1f - 1f / AxisRatio / AxisRatio) * StepLength, StepLength / AxisRatio);
float2 StepX = new float2((float)Math.Sqrt(1f - 1f / AxisRatio / AxisRatio) * StepLength, StepLength / AxisRatio);
double DesiredHeight = GridSize.X * Math.Abs(StepX.Y) + GridSize.Y * Math.Abs(StepY.Y) + GridSize.Z * Math.Abs(StepZ.Y);
if (DesiredHeight != this.Height)
{
this.Height = DesiredHeight;
return;
}
float2 Origin = new float2(GridSize.X * StepX.X, -GridSize.Z * StepZ.Y);
Func <int, int, int, bool> CubeExists = (x, y, z) => (z * GridSize.Y + y) * GridSize.X + x < Value && x < GridSize.X && y < GridSize.Y && z < GridSize.Z && x >= 0 && y >= 0 && z >= 0;
SolidColorBrush LineBrush = new SolidColorBrush(Colors.Black);
SolidColorBrush BoundsBrush = new SolidColorBrush(Color.FromArgb(40, 0, 0, 0));
SolidColorBrush FaceLeftBrush = new SolidColorBrush(Color.FromArgb(60, Colors.CornflowerBlue.R, Colors.CornflowerBlue.G, Colors.CornflowerBlue.B));
SolidColorBrush FaceRightBrush = new SolidColorBrush(Color.FromArgb(120, Colors.CornflowerBlue.R, Colors.CornflowerBlue.G, Colors.CornflowerBlue.B));
SolidColorBrush FaceTopBrush = new SolidColorBrush(Color.FromArgb(30, Colors.CornflowerBlue.R, Colors.CornflowerBlue.G, Colors.CornflowerBlue.B));
for (int z = 0; z < GridSize.Z; z++)
{
for (int y = 0; y < GridSize.Y; y++)
{
for (int x = 0; x < GridSize.X; x++)
{
if (!CubeExists(x, y, z))
{
break;
}
#region Vertical Edges
// Left edge
if (!CubeExists(x - 1, y, z) && !CubeExists(x - 1, y + 1, z) && !CubeExists(x, y + 1, z))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Y1 = Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y,
X2 = Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Front edge
if ((!CubeExists(x + 1, y, z) && !CubeExists(x + 1, y + 1, z) && !CubeExists(x, y + 1, z)) || (CubeExists(x + 1, y, z) && !CubeExists(x + 1, y + 1, z) && CubeExists(x, y + 1, z)))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Y1 = Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Right edge
if (!CubeExists(x + 1, y, z) && !CubeExists(x + 1, y - 1, z) && !CubeExists(x, y - 1, z))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 0) * StepZ.X,
Y1 = Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 0) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
#endregion
#region Horizontal edges
#region Bottom edges
// Left edge
if ((!CubeExists(x, y + 1, z) && !CubeExists(x, y + 1, z - 1) && !CubeExists(x, y, z - 1)) || (!CubeExists(x, y + 1, z) && CubeExists(x, y + 1, z - 1)))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Y1 = Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Right edge
if ((!CubeExists(x + 1, y, z) && !CubeExists(x + 1, y, z - 1) && !CubeExists(x, y, z - 1)) || (!CubeExists(x + 1, y, z) && CubeExists(x + 1, y, z - 1)))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 0) * StepZ.X,
Y1 = Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 0) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
#endregion
#region Middle edges
// Left edge
if (!CubeExists(x, y + 1, z) && !CubeExists(x, y + 1, z + 1) && !CubeExists(x, y, z + 1))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Y1 = Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Right edge
if (!CubeExists(x + 1, y, z) && !CubeExists(x + 1, y, z + 1) && !CubeExists(x, y, z + 1))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Y1 = Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
#endregion
#region Top edges
// Left edge
if (!CubeExists(x - 1, y, z) && !CubeExists(x - 1, y, z + 1) && !CubeExists(x, y, z + 1))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 0) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Y1 = Origin.Y + (x + 0) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y,
X2 = Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Right edge
if (!CubeExists(x, y - 1, z) && !CubeExists(x, y - 1, z + 1) && !CubeExists(x, y, z + 1))
{
Line EdgeLine = new Line()
{
X1 = Origin.X + (x + 0) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Y1 = Origin.Y + (x + 0) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y,
X2 = Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Y2 = Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y,
StrokeThickness = 1,
Stroke = LineBrush
};
CanvasLines.Children.Add(EdgeLine);
}
#endregion
#endregion
#region Faces
// Left
if (!CubeExists(x, y + 1, z))
{
Polygon Poly = new Polygon()
{
Points = new PointCollection()
{
new Point(Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y),
new Point(Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y)
},
Fill = new SolidColorBrush(Color.FromArgb(60,
(byte)((x + 1) / (float)GridSize.X * 255),
(byte)((y + 1) / (float)GridSize.Y * 255),
(byte)((z + 1) / (float)GridSize.Z * 255)))
};
CanvasFill.Children.Add(Poly);
}
// Right
if (!CubeExists(x + 1, y, z))
{
Polygon Poly = new Polygon()
{
Points = new PointCollection()
{
new Point(Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 0) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 0) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 0) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 0) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y)
},
Fill = new SolidColorBrush(Color.FromArgb(120,
(byte)((x + 1) / (float)GridSize.X * 255),
(byte)((y + 1) / (float)GridSize.Y * 255),
(byte)((z + 1) / (float)GridSize.Z * 255)))
};
CanvasFill.Children.Add(Poly);
}
// Top
if (!CubeExists(x, y, z + 1))
{
Polygon Poly = new Polygon()
{
Points = new PointCollection()
{
new Point(Origin.X + (x + 0) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 0) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 0) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 0) * StepY.Y + (z + 1) * StepZ.Y),
new Point(Origin.X + (x + 1) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 1) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y),
new Point(Origin.X + (x + 0) * StepX.X + (y + 1) * StepY.X + (z + 1) * StepZ.X,
Origin.Y + (x + 0) * StepX.Y + (y + 1) * StepY.Y + (z + 1) * StepZ.Y)
},
Fill = new SolidColorBrush(Color.FromArgb(30,
(byte)((x + 1) / (float)GridSize.X * 255),
(byte)((y + 1) / (float)GridSize.Y * 255),
(byte)((z + 1) / (float)GridSize.Z * 255)))
};
CanvasFill.Children.Add(Poly);
}
#endregion
}
}
}
#region Bounding box
// Top left
{
Line EdgeLine = new Line
{
X1 = Origin.X + 0 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 0 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 0 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 0 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Top right
{
Line EdgeLine = new Line
{
X1 = Origin.X + 0 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 0 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Middle left
{
Line EdgeLine = new Line
{
X1 = Origin.X + 0 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 0 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Middle right
{
Line EdgeLine = new Line
{
X1 = Origin.X + 1 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 1 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Bottom left
{
Line EdgeLine = new Line
{
X1 = Origin.X + 0 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 0 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Bottom right
{
Line EdgeLine = new Line
{
X1 = Origin.X + 1 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 1 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Vertical left
{
Line EdgeLine = new Line
{
X1 = Origin.X + 0 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 0 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 0 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 0 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Vertical middle
{
Line EdgeLine = new Line
{
X1 = Origin.X + 1 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 1 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 1 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 1 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
// Vertical right
{
Line EdgeLine = new Line
{
X1 = Origin.X + 1 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 0 * GridSize.Z * StepZ.X,
Y1 = Origin.Y + 1 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 0 * GridSize.Z * StepZ.Y,
X2 = Origin.X + 1 * GridSize.X * StepX.X + 0 * GridSize.Y * StepY.X + 1 * GridSize.Z * StepZ.X,
Y2 = Origin.Y + 1 * GridSize.X * StepX.Y + 0 * GridSize.Y * StepY.Y + 1 * GridSize.Z * StepZ.Y,
StrokeThickness = 1,
Stroke = BoundsBrush
};
CanvasLines.Children.Add(EdgeLine);
}
#endregion
}
