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/// @file

#include "jets/k.h"
#include "jets/q.h"
#include "jets/w.h"

#include "noun.h"

/* internal functions
*/
static u3_noun
_in_uni(u3_noun a, u3_noun b)
{
  if ( u3_nul == a ) {
    return u3k(b);
  }
  else if ( u3_nul == b ) {
    return u3k(a);
  }
  else {
    u3_noun n_a, l_a, r_a,
            n_b, l_b, r_b,
            neb, sub, naw, pro;
    u3x_trel(a, &n_a, &l_a, &r_a);
    u3x_trel(b, &n_b, &l_b, &r_b);

    if ( c3n == u3qc_mor(n_a, n_b) ) {
      if ( c3y == u3r_sing(n_a, n_b) ) {
        return u3nt(u3k(n_b), _in_uni(l_a, l_b), _in_uni(r_a, r_b));
      }
      else if ( c3y == u3qc_gor(n_a, n_b) ) {
        naw = u3nt(u3k(n_a), u3k(l_a), u3_nul);
        sub = _in_uni(naw, l_b);
        neb = u3nt(u3k(n_b), sub, u3k(r_b));
        pro = _in_uni(r_a, neb);
        u3z(naw); u3z(neb);
        return pro;
      }
      else {
        naw = u3nt(u3k(n_a), u3_nul, u3k(r_a));
        sub = _in_uni(naw, r_b);
        neb = u3nt(u3k(n_b), u3k(l_b),  sub);
        pro = _in_uni(l_a, neb);
        u3z(naw); u3z(neb);
        return pro;
      }
    }
    else if ( c3y == u3r_sing(n_b, n_a) ) {
      return u3nt(u3k(n_b), _in_uni(l_a, l_b), _in_uni(r_a, r_b));
    }
    else if ( c3y == u3qc_gor(n_b, n_a) ) {
      neb = u3nt(u3k(n_b), u3k(l_b), u3_nul);
      sub = _in_uni(l_a, neb);
      naw = u3nt(u3k(n_a), sub, u3k(r_a));
      pro = _in_uni(naw, r_b);
      u3z(neb); u3z(naw);
      return pro;
    }
    else {
      neb = u3nt(u3k(n_b), u3_nul, u3k(r_b));
      sub = _in_uni(r_a, neb);
      naw = u3nt(u3k(n_a), u3k(l_a), sub);
      pro = _in_uni(naw, l_b);
      u3z(neb); u3z(naw);
      return pro;
    }
  }
}

u3_noun
u3kdi_uni(u3_noun a,
          u3_noun b)
{
  u3_noun c = u3qdi_uni(a, b);
  u3z(a); u3z(b);
  return c;
}

u3_noun
u3qdi_uni(u3_noun a,
          u3_noun b)
{
  if ( c3y == u3r_sing(a, b) ) {
    return u3k(a);
  }
  else {
    return _in_uni(a, b);
  }
}

u3_noun
u3wdi_uni(u3_noun cor)
{
  u3_noun a, b;
  u3x_mean(cor, u3x_sam, &b, u3x_con_sam, &a, 0);
  return u3qdi_uni(a, b);
}