#include "core/Plane.h"

#include "core/Generic.h"
#include "core/ToString.h"

void initPlane(Plane* p, const Vector3* a, const Vector3* b, const Vector3* c) {
    cross(&p->abc, sub(b, a), sub(c, a));
    normalize(&p->abc);
    p->d = -dot(&p->abc, b);
}

float signedDistance(const Plane* p, const Vector3* v) {
    return dot(&p->abc, v) + p->d;
}

size_t toStringPlane(const Plane* p, char* buffer, size_t n) {
    return toString(buffer, n, "(%.3f x + %.3f y + %.3f z + %.3f)",
                    (double)p->abc.data[0], (double)p->abc.data[1],
                    (double)p->abc.data[2], (double)p->d);
}