public static void DrawFilledCircle( Circle c, Graphics g, ImageSpace i, Brush b )
{
Rectangle? rect = Rect( c, i );
if( rect == null )
return;
g.FillEllipse( b, rect.Value );
}
public static void GenImage()
{
int size = 1000;
Bitmap image = new Bitmap( size, size );
ImageSpace i = new ImageSpace( size, size );
double b = 1.1;
i.XMin = -b; i.XMax = b;
i.YMin = -b; i.YMax = b;
Vector3D cen = HoneycombPaper.CellCenBall;
cen = H3Models.BallToUHS( cen );
Sphere[] simplex = Simplex( ref cen );
Sphere inSphere = InSphere( simplex );
using( Graphics g = Graphics.FromImage( image ) )
foreach( int[] reflections in AllCells() )
{
Sphere clone = inSphere.Clone();
foreach( int r in reflections )
clone.Reflect( simplex[r] );
Sphere ball = new Sphere();
Circle3D inSphereIdealBall = ball.Intersection( clone );
Circle3D inSphereIdealUHS = H3Models.BallToUHS( inSphereIdealBall );
Circle inSphereIdeal = new Circle { Center = inSphereIdealUHS.Center, Radius = inSphereIdealUHS.Radius };
using( Brush brush = new SolidBrush( Color.Blue ) )
DrawUtils.DrawFilledCircle( inSphereIdeal, g, i, brush );
}
image.Save( "threefifty.png", ImageFormat.Png );
}
public static void DrawCircle( Circle c, Graphics g, ImageSpace i, Pen p )
{
Rectangle? rect = Rect( c, i );
if( rect == null )
return;
g.DrawEllipse( p, rect.Value );
}
static public void DrawTriangle(Mesh.Triangle triangle, Graphics g, ImageSpace i)
{
using (Pen pen = new Pen(Color.Black, 1.0f))
{
g.DrawLine(pen, VecToPoint(triangle.a, i), VecToPoint(triangle.b, i));
g.DrawLine(pen, VecToPoint(triangle.b, i), VecToPoint(triangle.c, i));
g.DrawLine(pen, VecToPoint(triangle.c, i), VecToPoint(triangle.a, i));
}
}
public static void DrawTriangle( Mesh.Triangle triangle, Graphics g, ImageSpace i )
{
using( Pen pen = new Pen( Color.Black, 1.0f ) )
{
g.DrawLine( pen, VecToPoint( triangle.a, i ), VecToPoint( triangle.b, i ) );
g.DrawLine( pen, VecToPoint( triangle.b, i ), VecToPoint( triangle.c, i ) );
g.DrawLine( pen, VecToPoint( triangle.c, i ), VecToPoint( triangle.a, i ) );
}
}
static public void DrawFilledCircle(Circle c, Graphics g, ImageSpace i, Brush b)
{
Rectangle?rect = Rect(c, i);
if (rect == null)
{
return;
}
g.FillEllipse(b, rect.Value);
}
static public void DrawCircle(Circle c, Graphics g, ImageSpace i, Pen p)
{
Rectangle?rect = Rect(c, i);
if (rect == null)
{
return;
}
g.DrawEllipse(p, rect.Value);
}
private static Rectangle? Rect( Circle c, ImageSpace i )
{
if( double.IsInfinity( c.Radius ) )
return null;
Vector3D upperLeft = i.Pixel( new Vector3D( c.Center.X - c.Radius, c.Center.Y + c.Radius, 0 ) );
double width = i.Width( c.Radius * 2 );
double height = i.Height( c.Radius * 2 );
Rectangle rect = new Rectangle( (int)upperLeft.X, (int)upperLeft.Y, (int)width, (int)height );
return rect;
}
static private Rectangle?Rect(Circle c, ImageSpace i)
{
if (double.IsInfinity(c.Radius))
{
return(null);
}
Vector3D upperLeft = i.Pixel(new Vector3D(c.Center.X - c.Radius, c.Center.Y + c.Radius, 0));
double width = i.Width(c.Radius * 2);
double height = i.Height(c.Radius * 2);
Rectangle rect = new Rectangle((int)upperLeft.X, (int)upperLeft.Y, (int)width, (int)height);
return(rect);
}
static public void DrawCircle(Circle c, Graphics g, ImageSpace i)
{
if (double.IsInfinity(c.Radius))
{
return;
}
Vector3D upperLeft = i.Pixel(new Vector3D(c.Center.X - c.Radius, c.Center.Y + c.Radius, 0));
double width = i.Width(c.Radius * 2);
double height = i.Height(c.Radius * 2);
Rectangle rect = new Rectangle((int)upperLeft.X, (int)upperLeft.Y, (int)width, (int)height);
using (Pen pen = new Pen(Color.Black, 1.0f))
g.DrawEllipse(pen, rect);
}
private void DrawMirrors( Bitmap image, Settings settings )
{
double b = settings.Bounds;
ImageSpace i = new ImageSpace( settings.Width, settings.Height );
i.XMin = -b; i.XMax = b;
i.YMin = -b; i.YMax = b;
float scale = 2;
List<Sphere> toDraw = new List<Sphere>();
toDraw.AddRange( settings.Mirrors );
toDraw.Add( AlteredFacetForTrueApparent2DTilings( settings.Mirrors ) );
using( Graphics g = Graphics.FromImage( image ) )
using( Pen p = new Pen( Color.Red, scale * 3.0f ) )
//using( Pen p2 = new Pen( Color.FromArgb( 255, 255, 214, 0 ), 3.0f ) )
using( Pen p2 = new Pen( Color.Orange, scale * 3.0f ) )
using( Pen p3 = new Pen( Color.Orange, scale * 3.0f ) )
for( int m=0; m<toDraw.Count; m++ )
{
Sphere s = toDraw[m];
Circle c = H3Models.UHS.IdealCircle( s ); // XXX - not correct
if( c.IsLine )
{
DrawUtils.DrawLine( -c.P2*25, c.P2*25, g, i, p ); // XXX - not general.
}
else
{
Sphere temp = H3Models.BallToUHS( s );
DrawUtils.DrawCircle( new Circle { Center = temp.Center, Radius = temp.Radius }, g, i, m == 0 ? p2 : m == 4 ? p3 : p );
}
/* // iii
Circle c = new Circle();
c.Radius = Math.Sqrt( 2 );
c.Center = new Vector3D( 1, Math.Sqrt( 2 ) );
DrawUtils.DrawCircle( c, g, i, p );
c.Center = new Vector3D( -1, Math.Sqrt( 2 ) );
DrawUtils.DrawCircle( c, g, i, p );
c.Center = new Vector3D( Math.Sqrt( 2 ) - 1, 0 );
c.Radius = 2 - Math.Sqrt( 2 );
DrawUtils.DrawCircle( c, g, i, p );
DrawUtils.DrawLine( new Vector3D( -2, 0 ), new Vector3D( 2, 0 ), g, i, p );
*/
}
}
static private Point VecToPoint(Vector3D vec, ImageSpace i)
{
Vector3D temp = i.Pixel(vec);
return(new Point((int)temp.X, (int)temp.Y));
}
private static Point VecToPoint( Vector3D vec, ImageSpace i )
{
Vector3D temp = i.Pixel( vec );
return new Point( (int)temp.X, (int)temp.Y );
}
public static void DrawLine( Vector3D p1, Vector3D p2, Graphics g, ImageSpace i, Pen p )
{
g.DrawLine( p, VecToPoint( p1, i ), VecToPoint( p2, i ) );
}
public static void DrawCircle( Circle c, Graphics g, ImageSpace i )
{
using( Pen pen = new Pen( Color.Black, 1.0f ) )
DrawCircle( c, g, i, pen );
}
static public void DrawCircle(Circle c, Graphics g, ImageSpace i)
{
using (Pen pen = new Pen(Color.Black, 1.0f))
DrawCircle(c, g, i, pen);
}
static public void DrawLine(Vector3D p1, Vector3D p2, Graphics g, ImageSpace i, Pen p)
{
g.DrawLine(p, VecToPoint(p1, i), VecToPoint(p2, i));
}
