private void TheOneRing()
{
const double r1 = 1;
const double r2 = 0.2;
void CirclePath(double t, out double x, out double y, out double z)
{
x = r1 * Math.Cos(2 * Pi * t);
y = 0;
z = r1 * Math.Sin(2 * Pi * t);
}
void CircleCurve(double u, double v, out double x, out double y)
{
x = r2 * 0.5 * Math.Cos(2 * Pi * v);
y = r2 * Math.Sin(2 * Pi * v);
}
CurveSweepMesh mesh = new CurveSweepMesh(100, 40, CirclePath, CircleCurve);
TriangleMeshFactory triFactory = new TriangleMeshFactory();
var torusTriangle = triFactory.Build(mesh);
torusTriangle.Material = new Material((Yellow + Brown) / 2, reflective: 1, diffuse: 1, specular: 2, ambient: 0);
Add(torusTriangle).Translate(ty: r2);
}
public PrismMeshScene()
{
DefaultFloor();
Light(1, 1, -1);
Add(BuildPolygon(3).Scale(0.2, 0.25, 0.2).Translate(tx: -0.75, tz: 0));
Add(BuildPolygon(4).Scale(0.2, 0.25, 0.2).Translate(tx: -0, tz: 0.75));
Add(BuildPolygon(5).Scale(0.2, 0.25, 0.2).Translate(tx: 0.75, tz: 0.5));
Add(BuildPolygon(6).Scale(0.2, 0.25, 0.2).Translate(tx: 0.5, tz: -0.5));
IEnumerable <Tuple> points = new Tuple[]
{
Helper.CreatePoint(-3, 0, 5),
Helper.CreatePoint(3, 0, 5),
Helper.CreatePoint(3, 0, 3),
Helper.CreatePoint(-1, 0, 3),
Helper.CreatePoint(-1, 0, 1),
Helper.CreatePoint(1, 0, 1),
Helper.CreatePoint(1, 0, -1),
Helper.CreatePoint(-1, 0, -1),
Helper.CreatePoint(-1, 0, -3),
Helper.CreatePoint(3, 0, -3),
Helper.CreatePoint(3, 0, -5),
Helper.CreatePoint(-3, 0, -5)
};
var mesh = new PrismMesh(points);
var triangleMeshFactory = new TriangleMeshFactory(false);
var letterE = (triangleMeshFactory.Build(mesh).Scale(0.1).Rotate(ry: Math.PI / 4));
letterE.Material.Pattern = new SolidPattern(Color._Blue);
Add(letterE);
}
public CurveSweepScene()
{
DefaultFloor();
Light(0, 5, -5);
var curveSweepMesh = new CurveSweepMesh(36 * 10, 18, Path, Curve);
var triangleFactory = new TriangleMeshFactory();
var curveSweep = triangleFactory.Build(curveSweepMesh);
Add(curveSweep.Rotate(rx: Pi / 2).Translate(ty: 0.55));
}
public Prism(IEnumerable <Point2D> points)
{
var point2Ds = points as Point2D[] ?? points.ToArray();
var bottom = BuildPolygonShape(point2Ds);
var top = BuildPolygonShape(point2Ds).Translate(ty: 1);
var mesh = new PrismMesh(point2Ds);
var triangleMeshFactory = new TriangleMeshFactory(false);
var walls = triangleMeshFactory.Build(mesh);
Add(walls, top, bottom);
}
private IShape BuildPolygon(int n)
{
var points = Enumerable.Range(0, n).Select(i =>
{
var x = Math.Cos(2 * Math.PI * i / n);
var z = Math.Sin(2 * Math.PI * i / n);
return(Helper.CreatePoint(x, 0, z));
}).ToArray();
var mesh = new PrismMesh(points, true);
var triangleMeshFactory = new TriangleMeshFactory(false);
var prism = triangleMeshFactory.Build(mesh);
return(prism);
}
public SurfaceOfRevolutionScene()
{
DefaultFloor();
Light(1, 1, -1);
double Radius(double u, double v)
{
double r = Math.Exp(-u);
double m = (1 + Math.Abs(Math.Cos(2 * Math.PI * 1.5 * u)));
return(r * m);
}
var mesh = new SurfaceOfRevolution(50, 50, Radius);
var triangleMeshFactory = new TriangleMeshFactory(true, false);
Add(triangleMeshFactory.Build(mesh).Scale(sy: 0.5, sx: 0.1, sz: 0.1).Translate(tx: 0, tz: 0));
}
public override void InitWorld()
{
Light(-10, 10, -10);
const double r0 = 0.05;
const double r1 = 3;
const double r2 = 1;
void CirclePath(double t, out double x, out double y, out double z)
{
x = r1 * Math.Cos(2 * Pi * t);
y = 0;
z = r1 * Math.Sin(2 * Pi * t);
}
void CircleCurve(double u, double v, out double x, out double y)
{
x = r2 * Math.Cos(2 * Pi * v);
y = r2 * Math.Sin(2 * Pi * v);
}
CurveSweepMesh mesh = new CurveSweepMesh(40, 10, CirclePath, CircleCurve);
WireFrameMeshFactory factory = new WireFrameMeshFactory(r0, true, true);
var torusWire = factory.Build(mesh);
torusWire.Material = new Material(Magenta);
Add(torusWire).Translate(ty: r2 + r0);
TriangleMeshFactory triFactory = new TriangleMeshFactory();
var torusTriangle = triFactory.Build(mesh);
torusTriangle.Material = new Material(Cyan)
{
Transparency = 0.99
};
Add(torusTriangle).Translate(ty: r2 + r0);
SphereMeshFactory sphereFactory = new SphereMeshFactory(2 * r0);
var torusSphere = sphereFactory.Build(mesh);
torusSphere.Material = new Material(Yellow);
Add(torusSphere).Translate(ty: r2 + r0);
DefaultFloor();
}
public override void InitWorld()
{
Light(100, 150, -150, White / 10);
Light(-100, 300, -150, White);
var floor = DefaultFloor();
floor.Material.Reflective = 0;
floor.Material.Ambient = 0;
floor.Material.Specular = 0;
var wall = new Plane().Rotate(rx: Pi / 2 - 0.175).Translate(tz: 2);
wall.Material = new Material(White, reflective: 1);
Add(wall);
var mesh = new SurfaceMesh(60, 60);
// thanks to TJ Wei ( https://www.youtube.com/channel/UCLA68RSY6peX50b-Dw8mEpQ)
// cf https://www.youtube.com/watch?v=vUz4kov3K1c
// Surface[cos(s) + sgn(s - π / 2) (abs(sin(s)) - 1), 2sin(s), cos(s) - sgn(s - π / 2) (abs(sin(s)) - 1) + d, s, (-π) / 2, π + π / 2, d, 0.5, 3]
double Interp(double t, double t0, double t1) => t0 + (t1 - t0) * t;
double FuncD(double t) => Interp(t, 0.5, 3);
double FuncS(double t) => Interp(t, -Pi / 2, 3 * Pi / 2);
double FuncX(double u, double v) => Math.Cos(FuncS(u)) + Math.Sign(FuncS(u) - Pi / 2) * (Math.Abs(Math.Sin(FuncS(u))) - 1);
double FuncZ(double u, double v) => 2 * Math.Sin(FuncS(u));
double FuncY(double u, double v) => Math.Cos(FuncS(u)) - Math.Sign(FuncS(u) - Pi / 2) * (Math.Abs(Math.Sin(FuncS(u))) - 1) + FuncD(v);
mesh.Build(FuncX, FuncY, FuncZ);
var factory = new TriangleMeshFactory();
var surf = factory.Build(mesh);
surf.HasShadow = false;
Add(surf.Rotate(ry: Pi / 2 + 0.0).Translate(tz: -2));
Add(new Cube {
Material = new Material(Blue)
}.Scale(sx: 2).Rotate(ry: Pi / 4).Translate(tx: -4.5, tz: -2));
Add(new Sphere {
Material = new Material(Red)
}.Scale(sx: 2).Rotate(ry: -Pi / 4).Translate(tx: 4.5, tz: -2));
}
public WireFrameScene()
{
DefaultFloor();
Light(1, 1, -1);
double Altitude(double u, double v)
{
var r = 8 * Helper.Radius(u - 0.5, v - 0.5);
return(0.05 * (1 + Math.Cos(2 * Pi * r)));
}
var mesh = new HeightField(50, 50, Altitude);
var triangleMeshFactory = new TriangleMeshFactory(false, false);
Add(triangleMeshFactory.Build(mesh).Translate(tx: 0.5, tz: 0));
var wireFrameMeshFactory = new WireFrameMeshFactory(0.001, 0.0025);
Add(wireFrameMeshFactory.Build(mesh).Translate(tx: -0.5, tz: 0));
}
public override void InitWorld()
{
DefaultFloor();
Light(1, 1, -1);
double Altitude(double u, double v)
{
var r = 8 * Helper.Radius(u - 0.5, v - 0.5);
return(0.2 * Math.Exp(-r / 4) * (1 + Math.Cos(2 * Pi * r)));
}
var mesh = new HeightField(50, 50, Altitude);
var triangleMeshFactory = new TriangleMeshFactory(false, false);
Add(triangleMeshFactory.Build(mesh).Translate(-0.5));
var sphereMeshFactory = new SphereMeshFactory(0.05);
Add(sphereMeshFactory.Build(mesh).Translate(0.5));
}
