A3DLine A3DPlane::Reflection(const A3DLine& line) const
{
/*
* [x] [a1] 2.(d1.(a1 - c1) + d2.(a2 - c2) + d3.(a3 - c3)) [d1]
* [y] = [a2] - ------------------------------------------------.[d2]
* [z] [a3] d1.d1 + d2.d2 + d3.d3 [d3]
*/
return A3DLine(Reflection(line.Start), Reflection(line.Vector + Point) - Point);
}
A3DPlane A3DPlane::Reflection(const A3DPlane& plane) const
{
/*
* [x] [a1] 2.(d1.(a1 - c1) + d2.(a2 - c2) + d3.(a3 - c3)) [d1]
* [y] = [a2] - ------------------------------------------------.[d2]
* [z] [a3] d1.d1 + d2.d2 + d3.d3 [d3]
*/
return A3DPlane(Reflection(plane.Point), Reflection(plane.Normal + Point) - Point);
}
Color Ray::IntersectColor(Scene& sc, Ratio weight)
{
Inter inter=Intersection(sc);
if(inter.second>=0)
{
Color cl=LocalShading(sc,inter);
//Color cl=Ambient(sc,inter);
//cl=cl+LocalShading(sc,inter);
Ratio reflect=sc.obj[inter.second].prop.specular_reflection;
Ratio refract=sc.obj[inter.second].prop.refraction;
if(weight.b>=1./256.||weight.g>=1./256||weight.r>=1./256)
{
Vector inter_node=end+inter.first*direction;
if(reflect.b+reflect.g+reflect.r>=1./256)
{
Ray rfray=Reflection(sc.obj[inter.second],inter_node);
cl=cl+rfray.IntersectColor(sc,weight*reflect)*reflect;
}
if(refract.b+refract.g+refract.r>=1./256)
{
Ray rfray=Refraction(sc.obj[inter.second],inter_node);
cl=cl+rfray.IntersectColor(sc,weight*refract)*refract;
}
}
//cout << cl << endl ;
return cl;
}
else
{
//cout << "(0,0,0)" << endl ;
return Color();
}
}
void CHC_GameSystem::RefreshBackTrace(int x, int y, int d, CHC_Color & col)
{
mark[x][y][d] = true;
now_map[x][y].col[d/2].add(col);
x += dx[d/2], y += dy[d/2];
if (!InMap(x, y) || mark[x][y][d]) return;
now_map[x][y].col[(d / 2 + 2) % 4].add(col);
int d_1, d_2;
if (now_map[x][y].isMirror()) {
if (now_map[x][y].mirror_s == 0) {
d_1 = Reflection(d, now_map[x][y].dir, 0);
if (d_1 < 0) return;
RefreshBackTrace(x, y, d_1, col);
} else
if (now_map[x][y].mirror_s == 2) {
d_1 = Reflection(d, now_map[x][y].dir, 0);
d_2 = Reflection(d, (now_map[x][y].dir + 4) % NUM_MIRROR_STATE, 0);
if (d_1 >= 0) RefreshBackTrace(x, y, d_1, col);
else if (d_2 >= 0) RefreshBackTrace(x, y, d_2, col);
} else
if (now_map[x][y].mirror_s == 4) {
d_1 = Reflection(d, now_map[x][y].dir, 0);
d_2 = Reflection(d, (now_map[x][y].dir + 4) % NUM_MIRROR_STATE, 0);
if (d_1 >= 0) RefreshBackTrace(x, y, d_1, col);
else if (d_2 >= 0) RefreshBackTrace(x, y, d_2, col);
if (d / 2 % 2 == 1) {
// -
if (now_map[x][y].dir != 0 && now_map[x][y].dir != 4) RefreshBackTrace(x, y, d, col);
} else {
// |
if (now_map[x][y].dir != 2 && now_map[x][y].dir != 6) RefreshBackTrace(x, y, d, col);
}
}
} else
if (now_map[x][y].isSender()) {
return;
} else {
RefreshBackTrace(x, y, d, col);
}
}
namespace CGAL {
const Translation TRANSLATION = Translation();
const Rotation ROTATION = Rotation();
const Scaling SCALING = Scaling();
const Reflection REFLECTION = Reflection();
const Identity_transformation IDENTITY = Identity_transformation();
const Origin ORIGIN = Origin();
const Null_vector NULL_VECTOR = Null_vector();
} //namespace CGAL
// Returns a sample into the specular lobe. This is a type of importance sampling
Sample Raytracer::SampleSpecularLobe(const Vec3 &R, float phong_exp) {
double s, t;
Sample sample;
double r = 1.0;
s = rand(0.0, 1.0);
t = rand(0.0, 1.0);
//Punt aleatori a la semiesfera.
double x = sqrt(1 - pow(t, 2 / (phong_exp + 1)))* cos(2 * Pi*s);
double y = sqrt(1 - pow(t, 2 / (phong_exp + 1)))* sin(2 * Pi*s);
double z = sqrt(1 - x*x - y*y);
//Obtenim un punt aleatori de la nostra esfera.
Vec3 reflected_sample = Vec3(x, y, z);
sample.P = (Reflection(-reflected_sample , Unit(R + Vec3(0,0,1))));
// Assigns the weight
sample.w = Pi;
return sample;
}
// Returns a sample into the project hemishpere. This is a type of importance sampling.
Sample Raytracer::SampleProjectedHemisphere(const Vec3 &N) {
double s, t;
Sample sample;
double r = 1.0;
s = rand(0.0, 1.0);
t = rand(0.0, 1.0);
//Punt aleatori a la semiesfera.
double x = sqrt(t)*cos(2 * Pi*s);
double y = sqrt(t)*sin(2 * Pi*s);
double z = sqrt(1 - x*x - y*y);
//Obtenim un punt aleatori de la nostra esfera.
Vec3 reflected_sample = Vec3(x, y, z);
sample.P = (Reflection(-reflected_sample, Unit( N + Vec3(0, 0, 1))));
// Assigns the weight
sample.w = Pi;
return sample;
}
namespace corecvs {
template<>
Reflection BaseReflection<DistortionApplicationParameters>::reflection = Reflection();
template<>
int BaseReflection<DistortionApplicationParameters>::dummy = DistortionApplicationParameters::staticInit();
} // namespace corecvs
namespace corecvs {
template<>
Reflection BaseReflection<Draw3dParameters>::reflection = Reflection();
template<>
int BaseReflection<Draw3dParameters>::dummy = Draw3dParameters::staticInit();
} // namespace corecvs
namespace corecvs {
template<>
Reflection BaseReflection<OmnidirectionalBaseParameters>::reflection = Reflection();
template<>
int BaseReflection<OmnidirectionalBaseParameters>::dummy = OmnidirectionalBaseParameters::staticInit();
} // namespace corecvs
namespace corecvs {
template<>
Reflection BaseReflection<ExtrinsicsPlacerParameters>::reflection = Reflection();
template<>
int BaseReflection<ExtrinsicsPlacerParameters>::dummy = ExtrinsicsPlacerParameters::staticInit();
} // namespace corecvs
namespace corecvs {
template<>
Reflection BaseReflection<InputFilterParameters>::reflection = Reflection();
template<>
int BaseReflection<InputFilterParameters>::dummy = InputFilterParameters::staticInit();
} // namespace corecvs
namespace corecvs {
template<>
Reflection BaseReflection<ThickeningParameters>::reflection = Reflection();
template<>
int BaseReflection<ThickeningParameters>::dummy = ThickeningParameters::staticInit();
} // namespace corecvs
// Shade assigns a color to a point on a surface, as it is seen
// from another point. The coordinates of these points, the normal
// of the surface, and the surface material are all recorded in the
// HitInfo structure. The shader will typically make calls to Trace
// to handle shadows and reflections.
Color Raytracer::Shade(const HitInfo &hit, const Scene &scene, int max_tree_depth)
{
Color color = { 0.0f, 0.0f, 0.0f };
Vec3 point = hit.geom.point + hit.geom.normal*Epsilon;
HitInfo hitObstacle = hit;
Ray ray, ray2;
Color diffuse = Color(0,0,0), specular = Color(0,0,0);
Color direct = Color(0,0,0), indirect = Color(0,0,0);
Sample lightPoint;
Vec3 V;
Color irradiant = Color(0,0,0);
int espec = 0;
Color indirect_hemisphere = Color(0, 0, 0), indirect_lobe = Color(0, 0, 0);
//if (max_tree_depth >= 0) {
if (hit.material.Emitter()) {
return hit.material.m_Diffuse;
}else{
for (Object *object = scene.first; object != NULL; object = object->next)
{
if (object->material.Emitter() == true)
{
lightPoint = object->GetSample(hit.geom.point, hit.geom.normal);
ray.origin = hit.geom.point;
//lightPoint.P = lightPoint.P + hit.geom.normal*Epsilon;
ray.direction = Unit(lightPoint.P - hit.geom.point);
hitObstacle.geom.distance = Length(lightPoint.P - point);
V = Unit(hit.geom.origin - hit.geom.point);
Vec3 N = (hit.geom.normal);
Vec3 H = Unit(V + ray.direction);
//V = Unit(hit.geom.origin - hit.geom.point);
Vec3 L = (-ray.direction);// Unit(point - lightPoint.P);
Vec3 R = Unit(Reflection(-L, N));//Unit((2*N*(N*L))-L);
espec = hit.material.m_Phong_exp;
double c = (L*H);
double g = sqrt((pow(1.4 / 1, 2.0))+ pow(c,2)-1);
Color f0 = hit.material.m_Specular;
double F = (f0.red + (1.0 - f0.red, 1.0 - f0.green, 1.0 - f0.blue)*(pow((1 - (N*V)), 5)), f0.green + (1.0 - f0.red, 1.0 - f0.green, 1.0 - f0.blue)*(pow((1 - (N*V)), 5)), f0.blue+(1.0 - f0.red, 1.0 - f0.green, 1.0 - f0.blue)*(pow((1 - (N*V)), 5)));
//double F = (1 / 2)*((pow(g - c, 2))/(pow(g + c, 2)))*(1+pow((c*(g+c)-1),2)/ (1 + pow((c*(g - c) + 1), 2)));
double D = ((espec + 2) / (2 * Pi))*(pow((H*N), espec));
//double D = 1/(sqrt(2*Pi))
double G = min(min(1.0, (2 * (N*H)*(N*V)) / (V*H)), (2 * (N*H)*(N*L)) / (L*H));
if (G < 0) G = 0;
if (D < 0) D = 0;
if (F < 0) F = 0;
if (!Cast(ray, scene, hitObstacle)) {
if (N * L > 0) {
diffuse = (N*L)*hit.material.m_Diffuse/Pi;
}
else {
diffuse = Color(0.0, 0.0, 0.0);
}
irradiant = object->material.m_Emission*(lightPoint.w);
if ((R*V) > 0 && hit.material.m_Phong_exp > 0) {
specular = /*(espec + 2)/(2*Pi) * pow((R*V), espec)*/(F*D*G / (4 * (N*L)*(N*V)))*hit.material.m_Specular;
}
else {
specular = Color(0.0, 0.0, 0.0);
}
direct += (diffuse + specular)*irradiant;
}
}
}
if (hit.material.m_Phong_exp > 0) {
Vec3 N = (hit.geom.normal);
Vec3 L = Unit(-ray.direction);
V = -Unit(hit.geom.point - hit.geom.origin);
Vec3 R = Unit(Reflection(-V, N));
Vec3 H = Unit(V + ray.direction);
double c = (L*H);
double g = sqrt((pow(1.4 / 1, 2.0)) + pow(c, 2) - 1);
Color f0 = hit.material.m_Specular;
double F = (f0.red + (1.0 - f0.red, 1.0 - f0.green, 1.0 - f0.blue)*(pow((1 - (N*V)), 5)), f0.green + (1.0 - f0.red, 1.0 - f0.green, 1.0 - f0.blue)*(pow((1 - (N*V)), 5)), f0.blue + (1.0 - f0.red, 1.0 - f0.green, 1.0 - f0.blue)*(pow((1 - (N*V)), 5)));
//double F = (1 / 2)*((pow(g - c, 2))/(pow(g + c, 2)))*(1+pow((c*(g+c)-1),2)/ (1 + pow((c*(g - c) + 1), 2)));
double D = ((espec + 2) / (2 * Pi))*(pow((H*N), espec));
double G = min(min(1.0, (2 * (N*H)*(N*V)) / (V*H)), (2 * (N*H)*(N*L)) / (L*H));
if (G < 0) G = 0;
if (D < 0) D = 0;
if (F < 0) F = 0;
float phong_exp = hit.material.m_Phong_exp;
ray2.origin = point;
Sample sample_hemisphere = SampleProjectedHemisphere(N);
ray2.direction = Unit(sample_hemisphere.P);
//ray2.no_emitters = true;
indirect_hemisphere = Trace(ray2, scene, max_tree_depth-1)* hit.material.m_Diffuse;
Sample specular_sample = SampleSpecularLobe(R, phong_exp);
ray2.direction = Unit(specular_sample.P);
indirect_lobe = Trace(ray2, scene, max_tree_depth - 1)*F*D*G / (4 * (N*L)*(N*V));// *hit.material.m_Specular;
indirect = indirect_hemisphere + indirect_lobe;// *(F*D*G / (4 * (N*L)*(N*V)));
}
return (direct) + indirect;
}
//}
}
// public GeneratedApplication() [instance] :240
void GeneratedApplication::ctor_4()
{
ctor_3(uArray::Init< ::g::Uno::Net::IPEndPoint*>(::TYPES[0/*Uno.Net.IPEndPoint[]*/], 2, (::g::Uno::Net::IPEndPoint*)::g::Uno::Net::IPEndPoint::New1(::g::Uno::Net::IPAddress::Parse(::STRINGS[0/*"127.0.0.1"*/]), 12124), (::g::Uno::Net::IPEndPoint*)::g::Uno::Net::IPEndPoint::New1(::g::Uno::Net::IPAddress::Parse(::STRINGS[1/*"192.168.1.37"*/]), 12124)), ::STRINGS[2/*"C:\\Users\\...*/]);
Reflection((uObject*)::g::Outracks::Simulator::Reflection::Native::NativeReflection::New1((uObject*)::g::Outracks::Simulator::Reflection::Native::SimpleTypeMap::New1()));
}
void Simplex::OneCall()
{
// calcola l,h e centroide
Initialize();
Reflection();
double ystar = EvalFunction(m_Pstar);
double y_l = EvalFunction(m_P[m_l]);
double y_h = EvalFunction(m_P[m_h]);
// il punto riflesso sta sotto y_l
if (ystar < y_l)
{
Expansion();
// espansione riuscita
if (EvalFunction(m_Pstarstar) < y_l)
{
m_P[m_h]->SetPoint(m_Pstarstar);
return;
}
// espansione fallita
else
{
m_P[m_h]->SetPoint(m_Pstar);
return;
}
}
// il punto riflesso non sta sotto y_l
else
{
// calcola se il punto riflesso è maggiore di tutti gli altri
int counter = 0;
for (int i = 0; i < 3; i++)
{
if ( ystar > EvalFunction(m_P[i]) )
{counter++;}
}
// il punto non è maggiore di tutti gli i != h
if (counter < 2)
{
m_P[m_h]->SetPoint(m_Pstar);
return;
}
// il punto è maggiore di tutti gli i (!)= h
else
{
// se non è maggiore di h, sostituisco h
if (counter < 3)
{
m_P[m_h]->SetPoint(m_Pstar);
y_h = EvalFunction(m_P[m_h]);
}
Contraction();
// il punto contratto non è maggiore di y_h
if (EvalFunction(m_Pstarstar) <= y_h)
{
m_P[m_h]->SetPoint(m_Pstarstar);
return;
}
// il punto contratto è maggiore di y_h
else
{
double x_point_l = m_P[m_l]->GetX();
double y_point_l = m_P[m_l]->GetY();
for (int i = 0; i < 3; i++)
{
m_P[i]->SetX(0.5*(m_P[i]->GetX() + x_point_l));
m_P[i]->SetY(0.5*(m_P[i]->GetY() + y_point_l));
}
return;
}
}
}
}
mat3x3 S(const vec3& axis)
{
return Rotation(axis, 360.0/n)*Reflection(axis);
}