public Sphere(P3 p, float r, P3 vn = null, P3 ve = null)
{
this.center = p;
this.r = r;
this.vn = vn == null ? new P3(0, 0, 1) : vn;
this.ve = ve == null ? new P3(-1, 0, 0) : ve;
}
public static RColor getLight(P3 p, P3 normal)
{
RColor c = new RColor(0, 0, 0);
foreach (Light l in lights) {
c = c.Add(l.illumination(p, normal));
}
return c;
}
public static RColor getLight(P3 p, P3 normal)
{
RColor c = new RColor(0, 0, 0);
foreach (Light l in lights)
{
c = c.Add(l.illumination(p, normal));
}
return(c);
}
public RColor Color(P3 p, Ray r, SceneObject s)
{
P3 N = s.Geo.Normal(p);
float c1 = -N.Dot(r.direction);
P3 R1 = r.direction.Add(N.Scale(2).Scale(c1));
float d;
Ray r1 = new Ray(p, R1);
SceneObject so = Form1.shootRay(r1, out d);
if (so == null) {
return new RColor(0, 0, 0);
} else return so.ColorAt(r1.Travel(d), r1);
}
public RColor illumination(P3 point, P3 normal)
{
float inten = this.p.Dot(normal);
RColor color = new RColor(0, 0, 0);
if (inten > 0) {
color = c.Scale(inten);
float d;
SceneObject s = Form1.shootRay(new Ray(point, this.p), out d);
if (s != null) {
return new RColor(0, 0, 0);
}
}
return color;
}
public RColor illumination(P3 point, P3 normal)
{
float inten = this.p.Dot(normal);
RColor color = new RColor(0, 0, 0);
if (inten > 0)
{
color = c.Scale(inten);
float d;
SceneObject s = Form1.shootRay(new Ray(point, this.p), out d);
if (s != null)
{
return(new RColor(0, 0, 0));
}
}
return(color);
}
public RColor Color(P3 p, Ray r, SceneObject s)
{
P3 N = s.Geo.Normal(p);
float c1 = -N.Dot(r.direction);
P3 R1 = r.direction.Add(N.Scale(2).Scale(c1));
float d;
Ray r1 = new Ray(p, R1);
SceneObject so = Form1.shootRay(r1, out d);
if (so == null)
{
return(new RColor(0, 0, 0));
}
else
{
return(so.ColorAt(r1.Travel(d), r1));
}
}
public P2 ToP2(P3 p)
{
P3 vp = p.Sub(center).Normalize();
//Console.WriteLine(-vn.Dot(vp));
float vndot = -vn.Dot(vp);
if (vndot < -1)
{
vndot = -1;
}
else if (vndot > 1)
{
vndot = 1;
}
float phi = (float)Math.Acos(vndot);
float v = phi / (float)Math.PI;
float u;
float vpdotsin = vp.Dot(ve) / (float)Math.Sin(phi);
if (vpdotsin < -1)
{
vpdotsin = -1;
}
else if (vpdotsin > 1)
{
vpdotsin = 1;
}
//theta = ( arccos( dot_product( Vp, Ve ) / sin( phi )) ) / ( 2 * PI)
float theta = ((float)Math.Acos(vpdotsin) / (2 * (float)Math.PI));
if (vp.Dot(vn.Cross(ve)) > 0)
{
u = theta;
}
else
{
u = 1 - theta;
}
//Console.WriteLine(u + " " + v);
return(new P2(u, v));
}
public P2 ToP2(P3 p)
{
P3 vp = p.Sub(center).Normalize();
//Console.WriteLine(-vn.Dot(vp));
float vndot = -vn.Dot(vp);
if (vndot < -1) vndot = -1;
else if (vndot > 1) vndot = 1;
float phi = (float)Math.Acos(vndot);
float v = phi / (float)Math.PI;
float u;
float vpdotsin = vp.Dot(ve) / (float)Math.Sin(phi);
if (vpdotsin < -1) vpdotsin = -1;
else if (vpdotsin > 1) vpdotsin = 1;
//theta = ( arccos( dot_product( Vp, Ve ) / sin( phi )) ) / ( 2 * PI)
float theta = ((float)Math.Acos(vpdotsin) / (2 * (float)Math.PI));
if (vp.Dot(vn.Cross(ve)) > 0) {
u = theta;
} else {
u = 1 - theta;
}
//Console.WriteLine(u + " " + v);
return new P2(u, v);
}
public RColor illumination(P3 p, P3 normal)
{
return(l);
}
public P3 Normal(P3 p)
{
return n;
}
public Ray(P3 start, P3 direction)
{
this.start = start;
this.direction = direction.Normalize();
color = new RColor(0, 0, 0);
}
public P3 Normal(P3 p)
{
return(n);
}
public RColor ColorAt(P3 p, Ray r)
{
return(Skin.Color(p, r, this));
}
public P3 Normal(P3 p, P3 x)
{
return x.Sub(p).Scale((1 / (x.Magnitude() - p.Magnitude())));
}
public RColor Color(P3 p, Ray r, SceneObject s) {
RColor light = Form1.getLight(p, s.Geo.Normal(p));
return light.Mul(s.Texture.Color(s.Geo.ToP2(p)));
}
public float Theta(P3 p)
{
return((float)Math.Acos(Dot(p) / p.Magnitude() * this.Magnitude()));
}
public float Dot(P3 p)
{
return((this.x * p.x) + (this.y * p.y) + (this.z * p.z));
}
public P3 Add(P3 p)
{
return(new P3(this.x + p.x, this.y + p.y, this.z + p.z));
}
public P3 Normal(P3 x)
{
return(x.Sub(this.center).Scale(1 / r));
}
public RColor Color(P3 p, Ray r, SceneObject s)
{
RColor light = Form1.getLight(p, s.Geo.Normal(p));
return light.Mul(s.Texture.Color(s.Geo.ToP2(p)));
}
public P3 Normal(P3 x)
{
return x.Sub(this.center).Scale(1 / r);
}
public RColor illumination(P3 p, P3 normal)
{
return l;
}
public P2 ToP2(P3 p)
{
return(new P2(0, 0));
}
public P3 Sub(P3 p)
{
return(new P3(this.x - p.x, this.y - p.y, this.z - p.z));
}
public DirectionalLight(RColor c, P3 p)
{
this.c = c;
this.p = p;
}
public P3 Cross(P3 p)
{
return(new P3((this.y * p.z) - (this.z * p.y), (this.z * p.x) - (this.x * p.z), (this.x * p.y) - (this.y * p.x)));
}
public DirectionalLight(RColor c, float theta, float phi)
{
this.c = c;
this.p = P3.fromSphere(theta, phi);
}
public RColor ColorAt(P3 p, Ray r)
{
return Skin.Color(p, r, this);
}
public P3 Normal(P3 p, P3 x)
{
return(x.Sub(p).Scale((1 / (x.Magnitude() - p.Magnitude()))));
}
public void nonThreadedTrace()
{
float distance;
P3 d;
Ray r;
SceneObject s;
for (int i = 0; i < width; i++) {
for (int j = 0; j < height; j++) {
d = new P3(i / Form1.width * 2 - 1, 0, j / Form1.height * 2 - 1);
r = new Ray(Form1.cameraPos, d.Sub(Form1.cameraPos));
s = Form1.shootRay(r, out distance);
if (s != null) {
try {
Form1.cs[i, j] = s.ColorAt(r.Travel(distance), r);
} catch (Exception e) { //Set pixel to black if there are any errors
Form1.cs[i, j] = new RColor(0, 0, 0);
}
}
}
}
}
public P3 Cross(P3 p)
{
return new P3((this.y * p.z) - (this.z * p.y), (this.z * p.x) - (this.x * p.z), (this.x * p.y) - (this.y * p.x));
}
public P2 ToP2(P3 p)
{
return new P2(0, 0);
}
public P3 Sub(P3 p)
{
return new P3(this.x - p.x, this.y - p.y, this.z - p.z);
}
public Ray(P3 start, P3 direction)
{
this.start = start;
this.direction = direction.Normalize();
color = new RColor(0, 0, 0);
}
public Plane(P3 p, P3 n)
{
this.p = p;
this.n = n;
d = -p.Dot(n);
}
public P3 Add(P3 p)
{
return new P3(this.x + p.x, this.y + p.y, this.z + p.z);
}
public P3 Travel(float distance)
{
this.start = this.start.Add(direction.Scale(distance));
return start;
}
public float Dot(P3 p)
{
return ((this.x * p.x) + (this.y * p.y) + (this.z * p.z));
}
public DirectionalLight(RColor c, P3 p)
{
this.c = c;
this.p = p;
}
public float Theta(P3 p)
{
return (float)Math.Acos(Dot(p) / p.Magnitude() * this.Magnitude());
}
public DirectionalLight(RColor c, float theta, float phi)
{
this.c = c;
this.p = P3.fromSphere(theta, phi);
}
public P3 Travel(float distance)
{
this.start = this.start.Add(direction.Scale(distance));
return(start);
}
public Plane(P3 p, P3 n)
{
this.p = p;
this.n = n;
d = -p.Dot(n);
}