rtv1/src/maths_cone.c

56 lines
1.9 KiB
C

/* ************************************************************************** */
/* */
/* ::: :::::::: */
/* maths_cone.c :+: :+: :+: */
/* +:+ +:+ +:+ */
/* By: gbrochar <marvin@42.fr> +#+ +:+ +#+ */
/* +#+#+#+#+#+ +#+ */
/* Created: 2019/02/08 20:02:35 by gbrochar #+# #+# */
/* Updated: 2019/02/22 17:26:00 by gbrochar ### ########.fr */
/* */
/* ************************************************************************** */
#include "rtv1.h"
double intersect_cone(void *obj, t_ray r)
{
t_cone *co;
t_vec sub_ori;
double params[3];
double roots[2];
co = (t_cone *)obj;
sub_ori = vec_sub(r.o, co->o);
params[0] = dot_product(r.d, r.d) - (pow(co->k, 2) + (double)1)
* pow(dot_product(r.d, co->d), 2);
params[1] = (double)2 * (dot_product(r.d, sub_ori)
- (pow(co->k, 2) + (double)1) * dot_product(r.d, co->d)
* dot_product(sub_ori, co->d));
params[2] = dot_product(sub_ori, sub_ori) - (pow(co->k, 2) + (double)1)
* pow(dot_product(sub_ori, co->d), 2);
if (SUCCESS == solve_quadratic(params, roots))
{
if (roots[0] > 0)
return (roots[0] - E);
else if (roots[1] > 0)
return (roots[1] - E);
}
return (FAILURE);
}
t_vec normal_cone(void *obj, t_ray r, double t)
{
t_cone *co;
t_vec p;
double m;
co = (t_cone *)obj;
p = vec_add(r.o, vec_mul(r.d, t));
m = dot_product(r.d, co->d) * t
+ dot_product(vec_sub(r.o, co->o), co->d);
p = vec_sub(vec_sub(vec_sub(p, co->o), vec_mul(co->d, m)),
vec_mul(co->d, m * pow(co->k, 2)));
normalize(&p);
return (p);
}