How to overload a function in C, by parameter type & number

gistfile1.txt

void scale_circ(Circle_s c[static 1], double scale) {
    c->radius *= scale;
}

void scale_rect(Rectangle_s r[static 1], double scale) {
    r->w *= scale;
    r->h *= scale;
}

#define scale(obj, scale)      \
  _Generic( (obj),             \
    Rectangle_s* : scale_rect, \
    Circle_s* : scale_circ     \
  )                            \
  ((obj), (scale))
  
/* overload on number of parameter */
void scale_circ_1p(Circle_s c[static 1], double scale);
void scale_rect_1p(Rectangle_s r[static 1], double w_scale);
void scale_rect_2p(Rectangle_s r[static 1], double w_scale, double h_scale);

#define scale2p(obj, ...)        \
  _Generic( (obj),               \
    Rectangle_s* : scale_rect_2p \
  )                              \
  ((obj), __VA_ARGS__)
#define scale1p(obj, ...)         \
  _Generic( (obj),                \
    Rectangle_s* : scale_rect_1p, \
    Circle_s* : scale_circ_1p     \
  )                               \
  ((obj), __VA_ARGS__)

#define INVOKE(_1, _2, _3, NAME, ...) NAME
#define scale(...) INVOKE(__VA_ARGS__, scale2p, scale1p,)(__VA_ARGS__)

/*
@see https://www.youtube.com/watch?v=lLv1s7rKeCM&t=2609s
*/