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geom_shape.cc
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#include "geom_shape.h"
#include <math.h>
#include <limits.h>
#include <float.h>
#include <random>
#include "geometry.h"
#include <typeinfo>
//std::default_random_engine engine;
//std::uniform_real_distribution <double> u(0,1);
std::default_random_engine engine;
std::uniform_real_distribution <double> u(0,1);
double PI = 3.14159265;
//==========================================
///
/// Class Vector3D
///
//==========================================
Vector3D::Vector3D()
{
V[0]=0.;
V[1]=0.;
V[2]=0.;
}
Vector3D::Vector3D(double a, double b, double c)
{
V[0]=a;
V[1]=b;
V[2]=c;
}
/// Bracket operator.
double& Vector3D::operator[](unsigned n)
{
if ((n<0)||(n>2))
{
throw ;
}
else
{
return(V[n]);
}
}
Vector3D Vector3D::operator+( Vector3D vect1) const
{
return(Vector3D(vect1[0]+V[0],
vect1[1]+V[1],
vect1[2]+V[2]));
}
Vector3D Vector3D::operator*( double a) const
{
return(Vector3D(V[0]*a,
V[1]*a,
V[2]*a));
}
Vector3D Vector3D::operator-( Vector3D vect1) const
{
return(Vector3D(V[0]-vect1[0],
V[1]-vect1[1],
V[2]-vect1[2]));
}
double Vector3D::operator*(Vector3D vect1) const
{
return(vect1[0]*V[0]+
vect1[1]*V[1]+
vect1[2]*V[2]);
}
Vector3D Vector3D::p_term( Vector3D vect1) const
{
return(Vector3D(vect1[0]*V[0],
vect1[1]*V[1],
vect1[2]*V[2]));
}
void Vector3D::normalize()
{
double a= sqrt((1./((*this) * (*this))));
for (unsigned i=0;i<3;i++)
{
V[i]=a*V[i];
}
}
Vector3D Vector3D::p_vect(Vector3D vect1)
{
return( Vector3D(
V[1]*vect1[2]-vect1[1]*V[2],
-V[0]*vect1[2]+vect1[0]*V[2],
V[0]*vect1[1]-vect1[0]*V[1]));
}
int Vector3D::min()
{
double a= abs(V[0]);
int i =0;
if (abs(V[1])<a)
{
i=1;
a = abs(V[1]);
}
if (abs(V[2])<a)
{
i=2;
//a = V[1]<a;
}
return(i);
}
Vector3D::Vector3D( const Vector3D& vect1)
{
V[0] = vect1.V[0];
V[1] = vect1.V[1];
V[2] = vect1.V[2];
}
bool Vector3D::operator!=(Vector3D vect)
{
for (int i=0; i<3;i++)
{
if (V[i]!=vect[i])
{
return(true);
}
}
return(false);
}
bool Vector3D::operator==(Vector3D vect)
{
for (int i=0; i<3;i++)
{
if (V[i]!=vect[i])
{
return(false);
}
}
return(true);
}
double Vector3D::max()
{
double a=0.;
for (int i=0;i<3;i++)
{
if (abs(V[i])>a)
{
a=abs(V[i]);
}
}
return(a);
};
//==============================================================================
///
/// Class Light
///
//==============================================================================
/*Light::Light(Vector3D center, double int_dbl)
{
Vector3D temp_vect(1.,1.,1.);
Center=center;
I=temp_vect*int_dbl;
}
Light::Light(Vector3D center, Vector3D i): Center(center),I(i)
{
//Center(center);
//I(i);
}
Vector3D Light::center()
{
return(Center);
}
Vector3D Light::i()
{
return(I);
}
void Light::light_abs(Vector3D albedo)
{
I[0] = I[0] * albedo[0];
I[1] = I[1] * albedo[1];
I[2] = I[2] * albedo[2];
}
*/
//===============================================================
///
/// Class Object
///
//===============================================================
//
Vector3D Object::pix_color (Ray ray, Vector3D P,Scene* scene, int rebonds_count)
{
if (Is_light)
{
Vector3D color = Emissivity;
//double a=color.max();
//color=color*(1/a);
return(color);
}
Vector3D n= this->n(P);
Vector3D i = ray.u();
double norm_squared_n= n*n;
n = n*(1/sqrt(norm_squared_n));
double i_scal_n= i*n;
double Eps= pow(10,-9);
if (Is_specular)
{
if (rebonds_count==0)
{
return(Vector3D());
}
else
{
// creation nouveau rayon
Vector3D c_corr= P + n*Eps;
Vector3D i=ray.u();
i.normalize();
Vector3D direct = i - n*(2* (i*n));
Ray ray1(c_corr,direct);
ray1.normalize();
return(Color_abs.p_term(scene->pix_color(ray1, rebonds_count-1,false)));
}
}
else if(Is_transparent)
{
if (n*i<0.)// o nentre dans la sphère
{
double temp_var = 1- (1/N_opt)*(1/N_opt)*
(1-(i_scal_n)*(i_scal_n));
if (temp_var>=0)
{
Vector3D temp_0;
Vector3D Tn= temp_0-n*sqrt(temp_var);
Vector3D Tt= (i-n*(i_scal_n))*(1/N_opt);// 1 pour nair
Vector3D T= Tn+Tt;
Vector3D P_corr = P-n*Eps;
Ray ray1(P_corr,T);
double t=DBL_MAX;
Object* obj = 0;
intersect(ray1,t,obj);
P_corr= P_corr + T*t;
Ray ray2 (P_corr,T);
return(pix_color(ray2,P_corr,scene,rebonds_count));
}
// suite impossible
/*else // Si on est réfléchi
{
// ON reprend les mêmes lignes que précédemment
// revoir ..???
// creation nouveau rayon
Vector3D c_corr= P + n*Eps;
Vector3D i=ray.u();
i.normalize();
Vector3D direct = i - n*(2* (i*n));
Ray ray1(c_corr,direct);
ray1.normalize();
scene->pix_color(lum,ray1,colors, rebonds_count-1);
}*/
}
else // ON sort de la sphère
{
double temp_var = 1- (N_opt)*(N_opt)*
(1-(i_scal_n)*(i_scal_n));
if (temp_var>=0)
{
Vector3D Tn= n*sqrt(temp_var);
Vector3D Tt= (i+n*(i_scal_n))*(N_opt);// 1 pour nair
Vector3D T= Tn+Tt;
Vector3D P_corr = P+n*Eps;
Ray ray1(P_corr,T);
return(scene->pix_color(ray1,rebonds_count,false));
}
else
{
Vector3D c_corr= P - n*Eps;
Vector3D direct = i - n*(2* (i*n));
Ray ray1(c_corr,direct);
double t=DBL_MAX;
Object* obj=0;
intersect(ray1,t, obj);
c_corr= c_corr + direct*t;
Ray ray2 (c_corr,direct);
return(pix_color(ray2,c_corr,scene,rebonds_count-1));
//scene->pix_color(lum,ray1,colors, rebonds_count-1);
// ne rien faire on fait comme si on restait dans la sphère
}
}
}
else
{
// sphere normale
Vector3D colors (0.,0.,0.);
Sphere3D* lum= dynamic_cast<Sphere3D*> (scene->get_direct_light(P));
Vector3D I=lum->Emissivity;// pour l'instant on définit ici l'intensité...
Vector3D l=P-lum->center();
double norm_squared_l= l*l;
l.normalize();
//Vector3D c_l_corr= P + n*Eps;
int m = l.min();
Vector3D b1;
if (m==0)
{
b1 = Vector3D(0,-l[2],l[1]);
b1.normalize();
}
else if (m==1)
{
b1 = Vector3D(-l[2],0,l[0]);
b1.normalize();
}
else
{
b1 = Vector3D(l[1],-l[0],0);
b1.normalize();
}
//std::random_device rd;
//std::mt19937 mt(rd());
//std::uniform_real_distribution<double> u(1.0, 10.0);
Vector3D c1= l.p_vect(b1);
double r1 = u(engine);
double r2 = u(engine);
double x = cos(2*PI*r1)*sqrt(1-r2);
double y = sin(2*PI*r1)*sqrt(1-r2);
double z = sqrt(r2);
Vector3D new_vect = b1*x+ c1*y + l*z;
Vector3D new_P= new_vect*(lum->radius()+Eps)+lum->center();
if ( typeid(*this) == typeid( Triangle ))
{
if ((i*n)>=0)
{
n = Vector3D() -n*(1+Eps);
}
}
//Vector3D color_abs1=Color_abs;
Vector3D color_abs1= getAlbedo(n,P);
Vector3D new_vect2 = new_P-P-n*Eps;
Ray new_ray (P+n*Eps,new_vect2 );
double t=DBL_MAX;
//bool intersect_only_with_not_transp=-1.;
if (scene->intersect(new_ray,t)&&(t<=1.))
{
}
else
{
Vector3D O_newS=new_P-lum->center();
Vector3D n_prime= (O_newS)*(1/lum->radius());
Vector3D OP= (P-lum->center());
OP.normalize();
Vector3D PprimeP= (P-new_P);
double norm_sq_PPprime= PprimeP*PprimeP;
double one_on_norm= 1/sqrt(norm_sq_PPprime);
PprimeP= PprimeP*(one_on_norm);
Vector3D PPprime= (new_P-P);
PPprime=PPprime*(one_on_norm);
double cos_theta= (n*PPprime);
double cos_theta_prime=(n_prime*PprimeP);
double cos_theta_2prime=n_prime*OP;
//if (cos_theta<0||cos_theta_prime<0||cos_theta_2prime<0)
//{
// std::cout<<cos_theta<<" "<<cos_theta_prime<<"
// "<<cos_theta_2prime<<std::endl;
//}
if ( typeid(*this) == typeid( Triangle ))
{
//std::cout<<" ok enter"<<std::endl;
//cos_theta= abs(n*PPprime);
//double cos_theta_prime=(n_prime*PprimeP);
//cos_theta_prime=abs(n_prime*PprimeP);
}
double pix_intensity= lum->radius()*lum->radius()*std::max(cos_theta_prime,0.)/cos_theta_2prime*std::max(cos_theta,0.)/(norm_sq_PPprime);// normalkement PI/PI
for (unsigned i=0; i<3;i++)
{
colors[i]=colors[i]+pix_intensity*color_abs1[i]*I[i];
}
}
//return(colors);
m = n.min();
if (m==0)
{
b1 = Vector3D(0,-n[2],n[1]);
b1.normalize();
}
else if (m==1)
{
b1 = Vector3D(-n[2],0,n[0]);
b1.normalize();
}
else
{
b1 = Vector3D(n[1],-n[0],0);
b1.normalize();
}
//std::random_device rd;
//std::mt19937 mt(rd());
//std::uniform_real_distribution<double> u(1.0, 10.0);
c1= n.p_vect(b1);
r1 = u(engine);
r2 = u(engine);
x = cos(2*PI*r1)*sqrt(1-r2);
y = sin(2*PI*r1)*sqrt(1-r2);
z = sqrt(r2);
new_vect = b1*x+ c1*y + n*z;
Ray new_ray4 (P+n*Eps,new_vect );
//lum.light_abs(Color_abs);
return(colors+ color_abs1.p_term(scene->pix_color(new_ray4,rebonds_count-1,true)));
}
}
//==================================================================
///
/// Class Triangle
///
//==================================================================
long unsigned Triangle::COUNT_OF_INTERSECT=0;
bool Triangle::intersect( Ray ray, double& t, Object* &object)
{
Triangle::COUNT_OF_INTERSECT ++;
// intersection rayon-plan
t = ((A-ray.center())*N)/(ray.u()*N);
object = this;
if (t<0.)
{
return(false);
}
else
{
Vector3D P=ray.center()+ray.u()*t;//intersection
double APAB = (P-A)*(B-A);
double APAC = (P-A)*(C-A);
double ACAC = (C-A)*(C-A);
double ACAB = (C-A)*(B-A);
//double APAC = (P-A)*(C-A);
double ABAB = (B-A)*(B-A);
double det = ABAB*ACAC-ACAB*ACAB;
double Beta = (APAB*ACAC-APAC*ACAB)/det;
if (Beta<0)
{
return(false);
}
else
{
double Gamma = (ABAB*APAC-APAB*ACAB)/det;
if (Gamma<0.)
{
return(false);
}
else
{
if (Gamma+Beta>1.)
{
return(false);
}
else
{
return(true);
}
}
}
}
}
/*Vector3D Triangle::pix_color (Ray ray, Vector3D P,Scene* scene, int rebonds_count)
{
return(Vector3D());
}*/
Vector3D Triangle::n(Vector3D P )
{
double APAB = (P-A)*(B-A);
double APAC = (P-A)*(C-A);
double ACAC = (C-A)*(C-A);
double ACAB = (C-A)*(B-A);
//double APAC = (P-A)*(C-A);
double ABAB = (B-A)*(B-A);
double det = ABAB*ACAC-ACAB*ACAB;
double Beta = (APAB*ACAC-APAC*ACAB)/det;
double Gamma = (ABAB*APAC-APAB*ACAB)/det;
double alpha = 1. -Beta - Gamma;
/*double normerr = sqrt((P-A*alpha - B*Beta - C*Gamma)*(P-A*alpha - B*Beta - C*Gamma));
if (normerr>0.0001)
{
std::cout<<" WTF"<<normerr<<std::endl;
}//*/
//Vector3D color = n.p_term(Vector3D(1,1,1))*(P*P);
//color= color*(1/sqrt(color*color));
//Vector3D offset (0,0,0);
Vector3D n1 = Na*alpha + Nb*Beta + Nc*Gamma;
return(n1);
}
Vector3D Triangle::getAlbedo(Vector3D n, Vector3D P)
{
double APAB = (P-A)*(B-A);
double APAC = (P-A)*(C-A);
double ACAC = (C-A)*(C-A);
double ACAB = (C-A)*(B-A);
//double APAC = (P-A)*(C-A);
double ABAB = (B-A)*(B-A);
double det = ABAB*ACAC-ACAB*ACAB;
double Beta = (APAB*ACAC-APAC*ACAB)/det;
double Gamma = (ABAB*APAC-APAB*ACAB)/det;
double alpha = 1. -Beta - Gamma;
/*double normerr = sqrt((P-A*alpha - B*Beta - C*Gamma)*(P-A*alpha - B*Beta - C*Gamma));
if (normerr>0.0001)
{
std::cout<<" WTF"<<normerr<<std::endl;
}//*/
//Vector3D color = n.p_term(Vector3D(1,1,1))*(P*P);
//color= color*(1/sqrt(color*color));
//Vector3D offset (0,0,0);
Vector3D UV = UVa*alpha + UVb*Beta + UVc*Gamma;
//int w= (*Textures_pt)[FaceGroup][0].size();
//int h= (*Textures_pt)[FaceGroup].size();
Vector3D color1 (0,0,0);
int i = UV[1]*(h-1);
int j = UV[0]*(w-1);
for (int k=0; k<3; k++)
{
color1[k] = double((Geom_pt->textures)[FaceGroup][ (i*w+j)*3+k])/255;
}
//color1[0]=(cos(P[0]/5));//*abs(sin(n[i]+offset[i]));
//color1[1]=(sin(P[1]/5));
//color1[2]=(cos(P[2]/10)*sin(P[1]/10));
//color1= n.p_term(color1);
//for(int i=0; i<3; i++)
//{
// color1[i]= fabs(color1[i]);
// }
return(color1);
}
//=========================================================
///
/// Class Sphere3D
///
//=========================================================
double N_SPHERE=1.2;
Sphere3D::Sphere3D(): Object(Vector3D(0.95,0.95,0.95),Vector3D(),
N_SPHERE,false,false), Center(),Radius(1.)
{
Is_light= false;
}
Sphere3D::Sphere3D( Vector3D center, double radius):
Object(Vector3D(0.95,0.95,0.95),Vector3D(),N_SPHERE,false,false),
Center(center),
Radius(radius)
{
Is_light= false;
}
Sphere3D::Sphere3D( Vector3D center, double radius, Vector3D color_abs, Vector3D emissivity):
Object(color_abs,emissivity,N_SPHERE,false,false),
Center(center),Radius(radius)
{
if (Emissivity==Vector3D())
{
Is_light= false;
}
else
{
Is_light=true;
}
}
Sphere3D::Sphere3D( Vector3D center, double radius,
Vector3D color_abs, Vector3D emissivity, bool is_specular, bool is_transparent):
Object(color_abs,emissivity,N_SPHERE,
is_specular,is_transparent),
Center(center),Radius(radius)
{
if (Emissivity==Vector3D())
{
Is_light=false;
}
else
{
Is_light=true;
}
}
double Sphere3D::radius() const
{
return(Radius);
}
Vector3D Sphere3D::center() const
{
return(Center);
}
bool Sphere3D::intersect( Ray ray, double& t, Object* &object)
{
object =this;
Vector3D c=ray.center();
Vector3D u=ray.u();
double a =(u*u);
double b = 2*(u*(c-Center));
double c1 = (c-Center)*(c-Center)-
Radius*Radius;
double delta1 = b*b - 4*a*c1;
if (delta1>=0.)
{
//std::cout<<delta<<std::endl;
double t1=(-b+sqrt(delta1))/(2*a);
double t2=(-b-sqrt(delta1))/(2*a);
if (std::max(t1,t2)>=0.)
{
if(t1>t2)
{
if (t2>=0)
{
t=(t2);
}
else
{
t=(t1);
}
}
else
{
if (t1>=0)
{
t=(t1);
}
else
{
t=(t2);
}
}
return(true);
}
}
t=DBL_MAX;
return(false);
}
Vector3D Sphere3D::n(Vector3D X )
{
Vector3D n=(X-Center);
n.normalize();
return(n);
}
//=====================================================
///
/// Class Ray
///
//====================================================
Ray::Ray( Vector3D center, Vector3D u):
Center(center),U(u)
{
}
Vector3D Ray::center()
{
return(Center);
}
Vector3D Ray::u()
{
return(U);
}
void Ray::normalize()
{
U=U*(1/sqrt(U*U));
}
//==============================================================================
///
/// Class Scene
///
//==============================================================================
int Scene::MAX_RBDS_CNT=15;
Scene::Scene()
{
Light_number=0;
}
void Scene::add_sphere(Sphere3D sphere)
{
if (sphere.Emissivity!=Vector3D())
{
std::vector<Object*>::iterator it;
it = Obj_vect.begin();
Sphere3D* sphere_pt = new Sphere3D (sphere);
Obj_vect.insert(it,sphere_pt);
Light_number++;
}
else
{
Sphere3D* sphere_pt = new Sphere3D (sphere);
Obj_vect.push_back(sphere_pt);
}
}
void Scene::add_triangle(Triangle triangle)
{
Triangle* triangle_pt = new Triangle (triangle);
Obj_vect.push_back(triangle_pt);
}
void Scene::add_geom(Geometry* geom1)
{
//Geometry* geom_pt = new Geometry (*geom1);
Obj_vect.push_back(geom1);
}
bool Scene::intersect( Ray ray, double& t)
{
t = DBL_MAX;
//unsigned closest_i=0;
unsigned n = Obj_vect.size();
for (unsigned i=0; i<n;i++)
{
double t_temp(DBL_MAX);
Object* obj=0;
bool intersection=Obj_vect[i]->intersect(ray,t_temp,obj);
if (intersection&&t_temp<t)
{
t=t_temp;
//closest_i=i;
}
}
if (t==DBL_MAX)
{
return (false);
}
return(true);
}
Vector3D Scene::pix_color (Ray ray, int rebonds_count, bool indirect_light_op)
{
double t = DBL_MAX;
unsigned closest_i=0;
unsigned n = Obj_vect.size();
Object* closest_obj= 0;
//int rays_generated =15;
for (unsigned i=0; i<n;i++)
{
double t_temp(DBL_MAX);
Object* obj=0;
bool intersection=Obj_vect[i]->intersect(ray,t_temp,obj);
if (intersection&&t_temp<t)
{
t=t_temp;
closest_obj = obj;
}
}
if (t==DBL_MAX)
{
return(Vector3D());
}
// else ....
/*if genere_rays
{
Vector3D P= ray.center()+ray.u()*t;
Sphere_vect[closest_i].pix_color(lum,ray,P,colors, this, rebonds_count);
int N=15;
for (int i=0; i<N; i++)
{
int m= P- Sphere_vect[closest_i]
}
}*/
Vector3D P= ray.center()+ray.u()*t;
if ((rebonds_count>=0) &&(!(indirect_light_op&&(Obj_vect[closest_i]->Is_light))))
{
return(closest_obj->pix_color(ray,P, this, rebonds_count));
}
else
{
return(Vector3D(0.,0.,0.));
}
}
Object* Scene::get_direct_light (Vector3D P)
{
return(Obj_vect[rand()%Light_number]);
// D'autres méthodes sont
// possibles sur comment échantillonnes les lumières pour réduire le bruit
// (ie si une sphere de lumière est toute petite etc )
}
BVH::BVH(int i_debut, int i_fin , Geometry* mother_g ):Mother_geom(mother_g), I_debut(i_debut), I_fin(i_fin)
{
Vector3D max_vertex (0,0,0);
Vector3D min_vertex (DBL_MAX,DBL_MAX,DBL_MAX);
for (int i=I_debut; i<I_fin;i++)
{
for (int k=0; k <3; k++)
{
for (int m = 0; m<3;m++)
{
if ((*Mother_geom)[i][k][m]<min_vertex[m])
{
min_vertex[m]=(*Mother_geom)[i][k][m];
}
if ((*Mother_geom)[i][k][m]>max_vertex[m])
{
max_vertex[m]=(*Mother_geom)[i][k][m];
}
}
}
}
Boite = Bbox (min_vertex, max_vertex);
if ((I_fin-I_debut)<=MAX_TRIANGLE_N)
{
f_g =0;
f_d = 0;
}
else// on doit encore séparer l'abre BVH
{
int split_ind = I_debut ;
Vector3D diag = max_vertex - min_vertex;
Dim_of_split = diag.arg_max();
//Value_of_split=(*Mother_geom)[split_ind].mean()[Dim_of_split];
Value_of_split= (min_vertex + diag * (0.5))[Dim_of_split];
for (int i =I_debut ; i<I_fin; i++)
{
if ((*Mother_geom)[i].mean()[Dim_of_split]<(Value_of_split))
{
if (split_ind==i)
{
split_ind ++;
}
else
{
Triangle temp1 = (*Mother_geom)[i];
Triangle temp2 = (*Mother_geom)[split_ind];
(*Mother_geom)[i] = temp2;
(*Mother_geom)[split_ind] = temp1;
split_ind ++;
}
}
}
if (split_ind == I_debut || split_ind==I_fin)
{
f_g = 0;
f_d = 0;
}
else
{
f_g = new BVH(I_debut, split_ind,Mother_geom);
f_d = new BVH(split_ind, I_fin,Mother_geom);
}
}
}
bool BVH::intersect(Ray ray,double& t, Object* &object )
{
if (f_g!=0)// pas une feuille
{
double t_g = 0;
double t_d = 0;
bool boolg = f_g->boite().intersect(ray, t_g, object );
bool boold = f_d->boite().intersect(ray, t_d, object );
bool b1=false, b2 =false;
if (boolg&&boold)
{
if (t_g<t_d)
{
if (t>t_g)
{
b1=f_g->intersect(ray,t,object);
}
if (t>t_d)