/*! Inverse Operation of \c sphere<T,N>_getSub_box2f(). */
inline void
sphere<T,N>_getRel_box2f(const box2f& a,
const sphere<T,N>& b,
sphere<T,N>& ba)
{
vec2f ad; box2f_rdDim(a, &ad);
vec3f_set(&ba.c(),
(b.c()(0) - a.l(0)) / ad(0),
(b.c()(1) - a.l(1)) / ad(1),
b.c()(2)); /* z is ignored */
ba.r() = b.r() / mean(ad(0), ad(1));
if (ad(0) != ad(1)) {
PTODO("ad's components not all equal => may result in an ellipse\n");
}
}
/*! Sub-Sphere when \p ba is viewed relative to \p a and put
* result in \p b.
* The inverse operation of \c sphere<T,N>_getRel().
*/
inline void
sphere<T,N>_getSub(const box<T,N>& a,
const sphere<T,N>& ba,
sphere<T,N>& b)
{
vec3f ad; box3f_rdDim(a, &ad);
vec3f_set(&b.c(),
a.l(0) + ad(0) * ba.c()(0),
a.l(1) + ad(1) * ba.c()(1),
a.l(2) + ad(2) * ba.c()(2));
b.r() = ba.r() * pnw::mean(ad(0), ad(1), ad(2));
if (ad(0) != ad(1) or
ad(1) != ad(2) or
ad(2) != ad(0)) {
PTODO("ad's components not all equal => may result in an ellipse\n");
}
}
inline sphere<T,N> shiftCtrlP(const sphere<T,N>& a,
const vec<T,N>& mpos,
const vec<T,N>& mshift,
const vec<T,N>& mindim,
const uint8_t * mask)
{
if (mask) {
if (pnw::get_bit(*mask, 0)) { a.c() += mshift; }
if (pnw::get_bit(*mask, 1)) { a.r() -= dot(normalize(a.c() - mpos), mshift); }
}
return a;
}
/*! Inverse Operation of \c sphere<T,N>_getSub(). */
inline sphere<T,N> getRel(const box<T,N>& a,
const sphere<T,N>& b)
{
auto ad = a.dim();
sphere<T,N> ba((b.c() - a.l()) / ad,
b.r() / pnw::mean(ad(0), ad(1), ad(2)));
if (ad(0) != ad(1) or
ad(1) != ad(2) or
ad(2) != ad(0)) {
PTODO("ad's components not all equal => may result in an ellipse\n");
}
return ba;
}
/*! Centered Scale Radius of \p a the factor \p f. */
friend pure sphere scale(const sphere& a, T f) { return sphere(a.c(), f * a.r()); }
/*! Extend Radius of \p a the shift \p s. */
friend pure sphere extend(const sphere& a, T s) { a.r() += s; return a; }