struct vec3 {
    double x, y, z;
};
typedef struct vec3 vec3;

struct triangle {
    vec3 a, b, c;
    vec3 normal;
}; typedef struct triangle triangle;

struct ray {
    vec3 origin;
    vec3 direction;
}; typedef struct ray ray;

struct sphere {
    vec3 origin;
    int radius;
}; typedef struct sphere sphere;

struct camera {
    vec3 origin;
    vec3 direction;
    double height;
    double width;
    double resolutionX;
    double resolutionY;
}; typedef struct camera camera;