public AlgeoVisualizer()
{
AlgeoObjects = new List <AlgeoObject>();
Eye = MultiVector.Vector(10, 10, 10);
Target = MultiVector.Vector(0, 0, 0);
Up = MultiVector.Vector(0, 1, 0);
VectorArrowLength = 0.5f;
VectorArrowRadius = 0.15f;
VectorArrowQuality = 10;
PointRadius = 0.15f;
PointQuality = 10;
SphereSegments = 20;
SphereRings = 20;
PlaneInfinity = 10.0f;
PlaneLineDensity = 1.0f;
LineInfinity = 10.0f;
CircleLines = 40;
}
protected override void OnUpdateFrame(FrameEventArgs e)
{
base.OnUpdateFrame(e);
var state = OpenTK.Input.Keyboard.GetState();
if (state[Key.Up])
{
alpha += ANGLE_STEP;
}
if (state[Key.Down])
{
alpha -= ANGLE_STEP;
}
if (state[Key.Left])
{
beta += ANGLE_STEP;
}
if (state[Key.Right])
{
beta -= ANGLE_STEP;
}
if (state[Key.PageUp])
{
distance -= DISTANCE_STEP;
}
if (state[Key.PageDown])
{
distance += DISTANCE_STEP;
}
float y = distance * (float)Math.Sin(alpha);
float rxz = distance * (float)Math.Cos(alpha);
float z = rxz * (float)Math.Sin(beta);
float x = rxz * (float)Math.Cos(beta);
Visualizer.Eye = MultiVector.Vector(x, y, z);
}
public static void Main(string[] args)
{
var win = new AlgeoWindow();
// Create some points
MultiVector p1 = IPNS.CreatePoint(2, 3, 0);
MultiVector p2 = IPNS.CreatePoint(-3, -4, 3);
MultiVector p3 = IPNS.CreatePoint(1, -5, 0);
MultiVector p4 = IPNS.CreatePoint(-1, -2, -3);
// Calculate sphere with four points
MultiVector s = (p1 ^ p2 ^ p3 ^ p4).Dual;
// Calculate plane with three points
MultiVector p = (p1 ^ p2 ^ p3 ^ Basis.E8).Dual;
// Add points
win.Visualizer.Add(p1, Color.Yellow);
win.Visualizer.Add(p2, Color.Yellow);
win.Visualizer.Add(p3, Color.Yellow);
win.Visualizer.Add(p4, Color.Orange);
// Add sphere and plane
win.Visualizer.Add(s, Color.Gray);
win.Visualizer.Add(p, Color.Violet);
// Calculate circle defined by intersection of the sphere and the plane and add it
win.Visualizer.Add(s ^ p, Color.Yellow);
// Calculate line through two points and add it
win.Visualizer.Add((p1 ^ p2 ^ Basis.E8).Dual, Color.White);
// Add some vectors to visualize the coordinate system
win.Visualizer.Add(MultiVector.Vector(5, 0, 0), Color.Red);
win.Visualizer.Add(MultiVector.Vector(0, 5, 0), Color.Green);
win.Visualizer.Add(MultiVector.Vector(0, 0, 5), Color.Blue);
// Run
win.Run(25);
}