test_quadrants2.c

/*
  This file is part of p4est.
  p4est is a C library to manage a collection (a forest) of multiple
  connected adaptive quadtrees or octrees in parallel.

  Copyright (C) 2010 The University of Texas System
  Additional copyright (C) 2011 individual authors
  Written by Carsten Burstedde, Lucas C. Wilcox, and Tobin Isaac

  p4est is free software; you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation; either version 2 of the License, or
  (at your option) any later version.

  p4est is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with p4est; if not, write to the Free Software Foundation, Inc.,
  51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/

#include <p4est_algorithms.h>
#include <p4est_bits.h>
#include <p4est_extended.h>

static int
refine_none (p4est_t * p4est, p4est_topidx_t which_tree, p4est_quadrant_t * q)
{
  return 0;
}

static int
refine_some (p4est_t * p4est, p4est_topidx_t which_tree, p4est_quadrant_t * q)
{
  if (q->x < P4EST_QUADRANT_LEN (2)) {
    return q->level <= 4;
  }
  else if (q->x < P4EST_QUADRANT_LEN (1)) {
    return q->level <= 3;
  }
  else {
    return q->level <= 2;
  }
}

static int
coarsen_none (p4est_t * p4est, p4est_topidx_t which_tree,
              p4est_quadrant_t * q[])
{
  SC_CHECK_ABORT (p4est_quadrant_is_familypv (q), "Coarsen invocation");

  return 0;
}

static int
coarsen_some (p4est_t * p4est, p4est_topidx_t which_tree,
              p4est_quadrant_t * q[])
{
  SC_CHECK_ABORT (p4est_quadrant_is_familypv (q), "Coarsen invocation");

  if (q[0]->x < P4EST_QUADRANT_LEN (2)) {
    return q[0]->level >= 2;
  }
  else if (q[0]->x < P4EST_QUADRANT_LEN (1)) {
    return q[0]->level >= 3;
  }
  else {
    return q[0]->level >= 4;
  }
}

static int
coarsen_all (p4est_t * p4est, p4est_topidx_t which_tree,
             p4est_quadrant_t * q[])
{
  SC_CHECK_ABORT (p4est_quadrant_is_familypv (q), "Coarsen invocation");

  return 1;
}

static void
check_linear_id (const p4est_quadrant_t * q1, const p4est_quadrant_t * q2)
{
  int                 l;
  int                 comp = p4est_quadrant_compare (q1, q2);
  int                 level = (int) SC_MIN (q1->level, q2->level);
  uint64_t            id1 = p4est_quadrant_linear_id (q1, level);
  uint64_t            id2 = p4est_quadrant_linear_id (q2, level);
  p4est_quadrant_t    quad, par, anc;

  /* test linear id */
  if (p4est_quadrant_is_ancestor (q1, q2)) {
    SC_CHECK_ABORT (id1 == id2 && comp < 0, "Ancestor 1");
  }
  else if (p4est_quadrant_is_ancestor (q2, q1)) {
    SC_CHECK_ABORT (id1 == id2 && comp > 0, "Ancestor 2");
  }
  else {
    SC_CHECK_ABORT ((comp == 0 && id1 == id2) || (comp < 0 && id1 < id2)
                    || (comp > 0 && id1 > id2), "compare");
  }

  /* test ancestor and parent functions */
  par = quad = *q1;
  for (l = quad.level - 1; l >= 0; --l) {
    p4est_quadrant_parent (&par, &par);
    p4est_quadrant_ancestor (&quad, l, &anc);
    SC_CHECK_ABORT (p4est_quadrant_is_equal (&par, &anc), "Ancestor test A");
  }
  par = quad = *q2;
  for (l = quad.level - 1; l >= 0; --l) {
    p4est_quadrant_parent (&par, &par);
    p4est_quadrant_ancestor (&quad, l, &anc);
    SC_CHECK_ABORT (p4est_quadrant_is_equal (&par, &anc), "Ancestor test B");
  }
}

static void
check_successor_predecessor (const p4est_quadrant_t * q)
{
  p4est_quadrant_t    temp1, temp2;
  uint64_t            lid;

  lid = p4est_quadrant_linear_id (q, q->level);
  p4est_quadrant_successor (q, &temp1);
  SC_CHECK_ABORT (p4est_quadrant_linear_id (&temp1, q->level) == (lid + 1),
                  "successor");
  p4est_quadrant_predecessor (&temp1, &temp2);
  /* Check if predecessor inverts successor. */
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&temp2, q), "predecessor");
}

static void
check_predecessor_successor (const p4est_quadrant_t * q)
{
  p4est_quadrant_t    temp1, temp2;
  uint64_t            lid;

  lid = p4est_quadrant_linear_id (q, q->level);
  p4est_quadrant_predecessor (q, &temp1);
  SC_CHECK_ABORT (p4est_quadrant_linear_id (&temp1, q->level) == (lid - 1),
                  "predecessor");
  p4est_quadrant_successor (&temp1, &temp2);
  /* Check if successor inverts predecessor. */
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&temp2, q), "successor");
}

#define NEG_ONE_MAXL (~((((p4est_qcoord_t) 1) << P4EST_MAXLEVEL) - 1))
#define NEG_ONE_MAXLM1 (~((((p4est_qcoord_t) 1) << (P4EST_MAXLEVEL - 1)) - 1))
#define NEG_ONE_MAXLP1 \
  (NEG_ONE_MAXL & ~(((p4est_qcoord_t) 1) << P4EST_MAXLEVEL))

int
main (int argc, char **argv)
{
  const p4est_qcoord_t qone = 1;
  int                 mpiret;
  int                 k;
  int                 level, mid, cid;
  int                 id0, id1, id2, id3;
  int64_t             index1, index2;
  size_t              iz, jz, incount;
  p4est_qcoord_t      mh = P4EST_QUADRANT_LEN (P4EST_QMAXLEVEL);
  p4est_connectivity_t *connectivity;
  p4est_t            *p4est1;
  p4est_t            *p4est2;
  p4est_tree_t       *t1, *t2, tree;
  p4est_quadrant_t   *p, *q1, *q2;
  p4est_quadrant_t    r, s;
  p4est_quadrant_t    c0, c1, c2, c3;
  p4est_quadrant_t    cv[P4EST_CHILDREN], *cp[P4EST_CHILDREN];
  p4est_quadrant_t    A, B, C, D, E, F, G, H, I, P, Q;
  p4est_quadrant_t    a, f, g, h;
  uint64_t            Aid, Fid;

  /* initialize MPI */
  mpiret = sc_MPI_Init (&argc, &argv);
  SC_CHECK_MPI (mpiret);

  /* create connectivity and forest structures */
  connectivity = p4est_connectivity_new_unitsquare ();
  p4est1 = p4est_new_ext (sc_MPI_COMM_SELF, connectivity, 15, 0, 0,
                          0, NULL, NULL);
  p4est2 = p4est_new_ext (sc_MPI_COMM_SELF, connectivity, 15, 0, 0,
                          8, NULL, NULL);

  /* refine the second tree to a uniform level */
  p4est_refine (p4est1, 1, refine_none, NULL);
  p4est_refine (p4est2, 1, refine_some, NULL);
  t1 = p4est_tree_array_index (p4est1->trees, 0);
  t2 = p4est_tree_array_index (p4est2->trees, 0);
  SC_CHECK_ABORT (p4est_tree_is_sorted (t1), "is_sorted");
  SC_CHECK_ABORT (p4est_tree_is_sorted (t2), "is_sorted");

  /* run a bunch of cross-tests */
  p = NULL;
  for (iz = 0; iz < t1->quadrants.elem_count; ++iz) {
    q1 = p4est_quadrant_array_index (&t1->quadrants, iz);

    /* test the index conversion */
    index1 = p4est_quadrant_linear_id (q1, (int) q1->level);
    p4est_quadrant_set_morton (&r, (int) q1->level, index1);
    index2 = p4est_quadrant_linear_id (&r, (int) r.level);
    SC_CHECK_ABORT (index1 == index2, "index conversion");
    level = (int) q1->level - 1;
    if (level >= 0) {
      index1 = p4est_quadrant_linear_id (q1, level);
      p4est_quadrant_set_morton (&r, level, index1);
      index2 = p4est_quadrant_linear_id (&r, level);
      SC_CHECK_ABORT (index1 == index2, "index conversion");
    }

    /* test the is_next function */
    if (p != NULL) {
      SC_CHECK_ABORT (p4est_quadrant_is_next (p, q1), "is_next");
    }
    p = q1;

    /* test the is_family function */
    p4est_quadrant_children (q1, &c0, &c1, &c2, &c3);
    SC_CHECK_ABORT (p4est_quadrant_is_family (&c0, &c1, &c2, &c3),
                    "is_family");
    SC_CHECK_ABORT (!p4est_quadrant_is_family (&c1, &c0, &c2, &c3),
                    "is_family");
    SC_CHECK_ABORT (!p4est_quadrant_is_family (&c0, &c0, &c1, &c2),
                    "is_family");
    p4est_quadrant_childrenv (q1, cv);
    SC_CHECK_ABORT (p4est_quadrant_is_equal (&c0, &cv[0]), "is_family");
    SC_CHECK_ABORT (p4est_quadrant_is_equal (&c1, &cv[1]), "is_family");
    SC_CHECK_ABORT (p4est_quadrant_is_equal (&c2, &cv[2]), "is_family");
    SC_CHECK_ABORT (p4est_quadrant_is_equal (&c3, &cv[3]), "is_family");
    SC_CHECK_ABORT (p4est_quadrant_is_family (&cv[0], &cv[1], &cv[2], &cv[3]),
                    "is_family");
    cp[0] = &cv[0];
    cp[1] = &cv[1];
    cp[2] = &cv[2];
    cp[3] = &cv[3];
    SC_CHECK_ABORT (p4est_quadrant_is_familypv (cp), "is_family");
    cv[1] = cv[0];
    SC_CHECK_ABORT (!p4est_quadrant_is_familyv (cv), "is_family");
    cp[1] = &c1;
    SC_CHECK_ABORT (p4est_quadrant_is_familypv (cp), "is_family");
    cp[2] = &c3;
    SC_CHECK_ABORT (!p4est_quadrant_is_familypv (cp), "is_family");

    /* test the sibling function */
    mid = p4est_quadrant_child_id (q1);
    for (cid = 0; cid < 4; ++cid) {
      p4est_quadrant_sibling (q1, &r, cid);
      if (cid != mid) {
        SC_CHECK_ABORT (p4est_quadrant_is_sibling (q1, &r), "sibling");
      }
      else {
        SC_CHECK_ABORT (p4est_quadrant_is_equal (q1, &r), "sibling");
      }
    }

    /* test t1 against itself */
    for (jz = 0; jz < t1->quadrants.elem_count; ++jz) {
      q2 = p4est_quadrant_array_index (&t1->quadrants, jz);

      /* test the comparison function */
      SC_CHECK_ABORT (p4est_quadrant_compare (q1, q2) ==
                      -p4est_quadrant_compare (q2, q1), "compare");
      SC_CHECK_ABORT ((!p4est_quadrant_compare (q1, q2)) ==
                      p4est_quadrant_is_equal (q1, q2), "is_equal");

      /* test the descriptive versions of functions */
      SC_CHECK_ABORT (p4est_quadrant_is_sibling_D (q1, q2) ==
                      p4est_quadrant_is_sibling (q1, q2), "is_sibling");
      SC_CHECK_ABORT (p4est_quadrant_is_parent_D (q1, q2) ==
                      p4est_quadrant_is_parent (q1, q2), "is_parent");
      SC_CHECK_ABORT (p4est_quadrant_is_parent_D (q2, q1) ==
                      p4est_quadrant_is_parent (q2, q1), "is_parent");
      SC_CHECK_ABORT (p4est_quadrant_is_ancestor_D (q1, q2) ==
                      p4est_quadrant_is_ancestor (q1, q2), "is_ancestor");
      SC_CHECK_ABORT (p4est_quadrant_is_ancestor_D (q2, q1) ==
                      p4est_quadrant_is_ancestor (q2, q1), "is_ancestor");
      SC_CHECK_ABORT (p4est_quadrant_is_next_D (q1, q2) ==
                      p4est_quadrant_is_next (q1, q2), "is_next");
      SC_CHECK_ABORT (p4est_quadrant_is_next_D (q2, q1) ==
                      p4est_quadrant_is_next (q2, q1), "is_next");
      p4est_nearest_common_ancestor_D (q1, q2, &r);
      p4est_nearest_common_ancestor (q1, q2, &s);
      SC_CHECK_ABORT (p4est_quadrant_is_equal (&r, &s), "common_ancestor");
      p4est_nearest_common_ancestor_D (q2, q1, &r);
      p4est_nearest_common_ancestor (q2, q1, &s);
      SC_CHECK_ABORT (p4est_quadrant_is_equal (&r, &s), "common_ancestor");
    }

    /* test t1 against t2 */
    for (jz = 0; jz < t2->quadrants.elem_count; ++jz) {
      q2 = p4est_quadrant_array_index (&t2->quadrants, jz);

      /* test the comparison function */
      SC_CHECK_ABORT (p4est_quadrant_compare (q1, q2) ==
                      -p4est_quadrant_compare (q2, q1), "compare");
      SC_CHECK_ABORT ((!p4est_quadrant_compare (q1, q2)) ==
                      p4est_quadrant_is_equal (q1, q2), "is_equal");

      /* test the descriptive versions of functions */
      SC_CHECK_ABORT (p4est_quadrant_is_sibling_D (q1, q2) ==
                      p4est_quadrant_is_sibling (q1, q2), "is_sibling");
      SC_CHECK_ABORT (p4est_quadrant_is_parent_D (q1, q2) ==
                      p4est_quadrant_is_parent (q1, q2), "is_parent");
      SC_CHECK_ABORT (p4est_quadrant_is_parent_D (q2, q1) ==
                      p4est_quadrant_is_parent (q2, q1), "is_parent");
      SC_CHECK_ABORT (p4est_quadrant_is_ancestor_D (q1, q2) ==
                      p4est_quadrant_is_ancestor (q1, q2), "is_ancestor");
      SC_CHECK_ABORT (p4est_quadrant_is_ancestor_D (q2, q1) ==
                      p4est_quadrant_is_ancestor (q2, q1), "is_ancestor");
      SC_CHECK_ABORT (p4est_quadrant_is_next_D (q1, q2) ==
                      p4est_quadrant_is_next (q1, q2), "is_next");
      SC_CHECK_ABORT (p4est_quadrant_is_next_D (q2, q1) ==
                      p4est_quadrant_is_next (q2, q1), "is_next");
      p4est_nearest_common_ancestor_D (q1, q2, &r);
      p4est_nearest_common_ancestor (q1, q2, &s);
      SC_CHECK_ABORT (p4est_quadrant_is_equal (&r, &s), "common_ancestor");
      p4est_nearest_common_ancestor_D (q2, q1, &r);
      p4est_nearest_common_ancestor (q2, q1, &s);
      SC_CHECK_ABORT (p4est_quadrant_is_equal (&r, &s), "common_ancestor");
    }
  }

  p = NULL;
  for (iz = 0; iz < t2->quadrants.elem_count; ++iz) {
    q1 = p4est_quadrant_array_index (&t2->quadrants, iz);

    /* test the is_next function */
    if (p != NULL) {
      SC_CHECK_ABORT (p4est_quadrant_is_next (p, q1), "is_next");
    }
    p = q1;
  }

  /* test the coarsen function */
  p4est_coarsen (p4est1, 1, coarsen_none, NULL);
  p4est_coarsen (p4est1, 1, coarsen_all, NULL);
  p4est_coarsen (p4est2, 1, coarsen_some, NULL);

  /* test the linearize algorithm */
  incount = t2->quadrants.elem_count;
  (void) p4est_linearize_tree (p4est2, t2);
  SC_CHECK_ABORT (incount == t2->quadrants.elem_count, "linearize");

  /* this is user_data neutral only when p4est1->data_size == 0 */
  sc_array_init (&tree.quadrants, sizeof (p4est_quadrant_t));
  sc_array_resize (&tree.quadrants, 18);
  q1 = p4est_quadrant_array_index (&tree.quadrants, 0);
  q2 = p4est_quadrant_array_index (&t2->quadrants, 0);
  *q1 = *q2;
  q2 = p4est_quadrant_array_index (&t2->quadrants, 1);
  for (k = 0; k < 3; ++k) {
    q1 = p4est_quadrant_array_index (&tree.quadrants, (size_t) (k + 1));
    *q1 = *q2;
    q1->level = (int8_t) (q1->level + k);
  }
  for (k = 0; k < 10; ++k) {
    q1 = p4est_quadrant_array_index (&tree.quadrants, (size_t) (k + 4));
    q2 = p4est_quadrant_array_index (&t2->quadrants, (size_t) (k + 3));
    *q1 = *q2;
    q1->level = (int8_t) (q1->level + k);
  }
  for (k = 0; k < 4; ++k) {
    q1 = p4est_quadrant_array_index (&tree.quadrants, (size_t) (k + 14));
    q2 = p4est_quadrant_array_index (&t2->quadrants, (size_t) (k + 12));
    *q1 = *q2;
    q1->level = (int8_t) (q1->level + 10 + k);
  }
  tree.maxlevel = 0;
  for (k = 0; k <= P4EST_QMAXLEVEL; ++k) {
    tree.quadrants_per_level[k] = 0;
  }
  for (; k <= P4EST_MAXLEVEL; ++k) {
    tree.quadrants_per_level[k] = -1;
  }
  incount = tree.quadrants.elem_count;
  for (iz = 0; iz < incount; ++iz) {
    q1 = p4est_quadrant_array_index (&tree.quadrants, iz);
    ++tree.quadrants_per_level[q1->level];
    tree.maxlevel = (int8_t) SC_MAX (tree.maxlevel, q1->level);
  }
  SC_CHECK_ABORT (!p4est_tree_is_linear (&tree), "is_linear");
  (void) p4est_linearize_tree (p4est1, &tree);
  SC_CHECK_ABORT (incount - 3 == tree.quadrants.elem_count, "linearize");
  sc_array_reset (&tree.quadrants);

  /* create a partial tree and check overlap */
  sc_array_resize (&tree.quadrants, 3);
  q1 = p4est_quadrant_array_index (&tree.quadrants, 0);
  p4est_quadrant_set_morton (q1, 1, 1);
  q1 = p4est_quadrant_array_index (&tree.quadrants, 1);
  p4est_quadrant_set_morton (q1, 2, 8);
  q1 = p4est_quadrant_array_index (&tree.quadrants, 2);
  p4est_quadrant_set_morton (q1, 2, 9);
  for (k = 0; k <= P4EST_QMAXLEVEL; ++k) {
    tree.quadrants_per_level[k] = 0;
  }
  for (; k <= P4EST_MAXLEVEL; ++k) {
    tree.quadrants_per_level[k] = -1;
  }
  tree.quadrants_per_level[1] = 1;
  tree.quadrants_per_level[2] = 2;
  tree.maxlevel = 2;
  p4est_quadrant_first_descendant (p4est_quadrant_array_index
                                   (&tree.quadrants, 0), &tree.first_desc,
                                   P4EST_QMAXLEVEL);
  p4est_quadrant_last_descendant (p4est_quadrant_array_index
                                  (&tree.quadrants,
                                   tree.quadrants.elem_count - 1),
                                  &tree.last_desc, P4EST_QMAXLEVEL);
  SC_CHECK_ABORT (p4est_tree_is_complete (&tree), "is_complete");

  p4est_quadrant_set_morton (&D, 0, 0);
  SC_CHECK_ABORT (p4est_quadrant_overlaps_tree (&tree, &D), "overlaps 0");

  p4est_quadrant_set_morton (&A, 1, 0);
  SC_CHECK_ABORT (!p4est_quadrant_overlaps_tree (&tree, &A), "overlaps 1");
  p4est_quadrant_set_morton (&A, 1, 1);
  SC_CHECK_ABORT (p4est_quadrant_overlaps_tree (&tree, &A), "overlaps 2");
  p4est_quadrant_set_morton (&A, 1, 2);
  SC_CHECK_ABORT (p4est_quadrant_overlaps_tree (&tree, &A), "overlaps 3");
  p4est_quadrant_set_morton (&A, 1, 3);
  SC_CHECK_ABORT (!p4est_quadrant_overlaps_tree (&tree, &A), "overlaps 4");

  p4est_quadrant_set_morton (&B, 3, 13);
  SC_CHECK_ABORT (!p4est_quadrant_overlaps_tree (&tree, &B), "overlaps 5");
  p4est_quadrant_set_morton (&B, 3, 25);
  SC_CHECK_ABORT (p4est_quadrant_overlaps_tree (&tree, &B), "overlaps 6");
  p4est_quadrant_set_morton (&B, 3, 39);
  SC_CHECK_ABORT (p4est_quadrant_overlaps_tree (&tree, &B), "overlaps 7");
  p4est_quadrant_set_morton (&B, 3, 40);
  SC_CHECK_ABORT (!p4est_quadrant_overlaps_tree (&tree, &B), "overlaps 8");

  p4est_quadrant_set_morton (&C, 4, 219);
  SC_CHECK_ABORT (!p4est_quadrant_overlaps_tree (&tree, &C), "overlaps 9");

  sc_array_reset (&tree.quadrants);

  /* destroy the p4est and its connectivity structure */
  p4est_destroy (p4est1);
  p4est_destroy (p4est2);
  p4est_connectivity_destroy (connectivity);

  /* This will test the ability to address negative quadrants */
  P4EST_QUADRANT_INIT (&A);
  P4EST_QUADRANT_INIT (&B);
  P4EST_QUADRANT_INIT (&C);
  P4EST_QUADRANT_INIT (&D);
  P4EST_QUADRANT_INIT (&E);
  P4EST_QUADRANT_INIT (&F);
  P4EST_QUADRANT_INIT (&G);
  P4EST_QUADRANT_INIT (&H);
  P4EST_QUADRANT_INIT (&I);
  P4EST_QUADRANT_INIT (&P);
  P4EST_QUADRANT_INIT (&Q);

  A.x = NEG_ONE_MAXL;
  A.y = NEG_ONE_MAXL;
  A.level = 0;

  B.x = qone << P4EST_MAXLEVEL;
  B.y = NEG_ONE_MAXL;
  B.level = 0;

  C.x = NEG_ONE_MAXL;
  C.y = qone << P4EST_MAXLEVEL;
  C.level = 0;

  D.x = qone << P4EST_MAXLEVEL;
  D.y = qone << P4EST_MAXLEVEL;
  D.level = 0;

  /* this one is outside the 3x3 box */
#if 0
  E.x = -qone << (P4EST_MAXLEVEL + 1);
#else
  E.x = NEG_ONE_MAXLP1;
#endif
  E.y = -qone;
  E.level = 0;

  F.x = P4EST_ROOT_LEN + (P4EST_ROOT_LEN - mh);
  F.y = P4EST_ROOT_LEN + (P4EST_ROOT_LEN - mh);
  F.level = P4EST_QMAXLEVEL;

  G.x = -mh;
  G.y = -mh;
  G.level = P4EST_QMAXLEVEL;

  H.x = NEG_ONE_MAXLM1;
  H.y = NEG_ONE_MAXLM1;
  H.level = 1;

  I.x = NEG_ONE_MAXL;
  I.y = NEG_ONE_MAXLM1;
  I.level = 1;

  check_linear_id (&A, &A);
  check_linear_id (&A, &B);
  check_linear_id (&A, &C);
  check_linear_id (&A, &D);
  /* check_linear_id (&A, &E); */
  check_linear_id (&A, &F);
  check_linear_id (&A, &G);
  check_linear_id (&A, &H);
  check_linear_id (&A, &I);

  check_linear_id (&B, &A);
  check_linear_id (&B, &B);
  check_linear_id (&B, &C);
  check_linear_id (&B, &D);
  /* check_linear_id (&B, &E); */
  check_linear_id (&B, &F);
  check_linear_id (&B, &G);
  check_linear_id (&B, &H);
  check_linear_id (&B, &I);

  check_linear_id (&D, &A);
  check_linear_id (&D, &B);
  check_linear_id (&D, &C);
  check_linear_id (&D, &D);
  /* check_linear_id (&D, &E); */
  check_linear_id (&D, &F);
  check_linear_id (&D, &G);
  check_linear_id (&D, &H);
  check_linear_id (&D, &I);

  check_linear_id (&G, &A);
  check_linear_id (&G, &B);
  check_linear_id (&G, &C);
  check_linear_id (&G, &D);
  /* check_linear_id (&G, &E); */
  check_linear_id (&G, &F);
  check_linear_id (&G, &G);
  check_linear_id (&G, &H);
  check_linear_id (&G, &I);

  check_linear_id (&I, &A);
  check_linear_id (&I, &B);
  check_linear_id (&I, &C);
  check_linear_id (&I, &D);
  /* check_linear_id (&I, &E); */
  check_linear_id (&I, &F);
  check_linear_id (&I, &G);
  check_linear_id (&I, &H);
  check_linear_id (&I, &I);

  SC_CHECK_ABORT (p4est_quadrant_is_extended (&A), "is_extended A");
  SC_CHECK_ABORT (p4est_quadrant_is_extended (&B), "is_extended B");
  SC_CHECK_ABORT (p4est_quadrant_is_extended (&C), "is_extended C");
  SC_CHECK_ABORT (p4est_quadrant_is_extended (&D), "is_extended D");
  SC_CHECK_ABORT (!p4est_quadrant_is_extended (&E), "!is_extended E");
  SC_CHECK_ABORT (p4est_quadrant_is_extended (&F), "is_extended F");
  SC_CHECK_ABORT (p4est_quadrant_is_extended (&G), "is_extended G");

  SC_CHECK_ABORT (!p4est_quadrant_compare (&A, &A), "compare");
  SC_CHECK_ABORT (p4est_quadrant_compare (&A, &B) > 0, "compare");
  SC_CHECK_ABORT (p4est_quadrant_compare (&B, &A) < 0, "compare");

  SC_CHECK_ABORT (!p4est_quadrant_compare (&F, &F), "compare");
  SC_CHECK_ABORT (p4est_quadrant_compare (&G, &F) > 0, "compare");
  SC_CHECK_ABORT (p4est_quadrant_compare (&F, &G) < 0, "compare");

  A.p.which_tree = 0;
  B.p.piggy1.which_tree = 0;
  SC_CHECK_ABORT (!p4est_quadrant_compare_piggy (&A, &A), "compare_piggy");
  SC_CHECK_ABORT (p4est_quadrant_compare_piggy (&A, &B) > 0, "compare_piggy");
  SC_CHECK_ABORT (p4est_quadrant_compare_piggy (&B, &A) < 0, "compare_piggy");

  F.p.piggy2.which_tree = 0;
  G.p.which_tree = 0;
  SC_CHECK_ABORT (!p4est_quadrant_compare_piggy (&F, &F), "compare_piggy");
  SC_CHECK_ABORT (p4est_quadrant_compare_piggy (&G, &F) > 0, "compare_piggy");
  SC_CHECK_ABORT (p4est_quadrant_compare_piggy (&F, &G) < 0, "compare_piggy");

  F.p.piggy1.which_tree = (p4est_topidx_t) P4EST_TOPIDX_MAX - 3;
  G.p.piggy2.which_tree = (p4est_topidx_t) P4EST_TOPIDX_MAX / 2;
  SC_CHECK_ABORT (!p4est_quadrant_compare_piggy (&F, &F), "compare_piggy");
  SC_CHECK_ABORT (p4est_quadrant_compare_piggy (&G, &F) < 0, "compare_piggy");
  SC_CHECK_ABORT (p4est_quadrant_compare_piggy (&F, &G) > 0, "compare_piggy");

  SC_CHECK_ABORT (p4est_quadrant_is_equal (&A, &A), "is_equal");
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&F, &F), "is_equal");
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&G, &G), "is_equal");

  /* Not sure if these make sense because D, O and A are all level 0 */
#if 0
  SC_CHECK_ABORT (p4est_quadrant_is_sibling (&D, &O), "is_sibling");
  SC_CHECK_ABORT (!p4est_quadrant_is_sibling (&D, &A), "is_sibling");
  SC_CHECK_ABORT (p4est_quadrant_is_sibling_D (&D, &O), "is_sibling_D");
  SC_CHECK_ABORT (!p4est_quadrant_is_sibling_D (&D, &A), "is_sibling_D");
#endif

  SC_CHECK_ABORT (p4est_quadrant_is_sibling (&I, &H), "is_sibling");
  SC_CHECK_ABORT (!p4est_quadrant_is_sibling (&I, &G), "is_sibling");
  SC_CHECK_ABORT (p4est_quadrant_is_sibling_D (&I, &H), "is_sibling_D");
  SC_CHECK_ABORT (!p4est_quadrant_is_sibling_D (&I, &G), "is_sibling_D");

  SC_CHECK_ABORT (p4est_quadrant_is_parent (&A, &H), "is_parent");
  SC_CHECK_ABORT (!p4est_quadrant_is_parent (&H, &A), "is_parent");
  SC_CHECK_ABORT (!p4est_quadrant_is_parent (&A, &D), "is_parent");
  SC_CHECK_ABORT (p4est_quadrant_is_parent_D (&A, &H), "is_parent_D");

  SC_CHECK_ABORT (p4est_quadrant_is_ancestor (&A, &G), "is_ancestor");
  SC_CHECK_ABORT (!p4est_quadrant_is_ancestor (&G, &A), "is_ancestor");

  SC_CHECK_ABORT (p4est_quadrant_is_ancestor_D (&A, &G), "is_ancestor_D");
  SC_CHECK_ABORT (!p4est_quadrant_is_ancestor_D (&G, &A), "is_ancestor_D");

  /* SC_CHECK_ABORT (p4est_quadrant_is_next (&F, &E), "is_next"); */
  SC_CHECK_ABORT (!p4est_quadrant_is_next (&A, &H), "is_next");
  /* SC_CHECK_ABORT (p4est_quadrant_is_next_D (&F, &E), "is_next_D"); */
  SC_CHECK_ABORT (!p4est_quadrant_is_next_D (&A, &H), "is_next_D");

  p4est_quadrant_parent (&H, &a);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&A, &a), "parent");

  p4est_quadrant_sibling (&I, &h, 3);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&H, &h), "sibling");

  p4est_quadrant_children (&A, &c0, &c1, &c2, &c3);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&c2, &I), "children");
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&c3, &H), "children");
  SC_CHECK_ABORT (!p4est_quadrant_is_equal (&c3, &G), "children");

  SC_CHECK_ABORT (p4est_quadrant_is_family (&c0, &c1, &c2, &c3), "is_family");
  id0 = p4est_quadrant_child_id (&c0);
  id1 = p4est_quadrant_child_id (&c1);
  id2 = p4est_quadrant_child_id (&c2);
  id3 = p4est_quadrant_child_id (&c3);
  SC_CHECK_ABORT (id0 == 0 && id1 == 1 && id2 == 2 && id3 == 3, "child_id");
  SC_CHECK_ABORT (p4est_quadrant_child_id (&G) == 3, "child_id");

  p4est_quadrant_first_descendant (&A, &c1, 1);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&c0, &c1), "first_descendant");

  p4est_quadrant_last_descendant (&A, &g, P4EST_QMAXLEVEL);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&G, &g), "last_descendant");

  Fid = p4est_quadrant_linear_id (&F, P4EST_QMAXLEVEL);
  p4est_quadrant_set_morton (&f, P4EST_QMAXLEVEL, Fid);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&F, &f), "set_morton/linear_id");

  Aid = p4est_quadrant_linear_id (&A, 0);
  p4est_quadrant_set_morton (&a, 0, Aid);
  SC_CHECK_ABORT (Aid == 15, "linear_id");
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&A, &a), "set_morton/linear_id");

  p4est_nearest_common_ancestor (&I, &H, &a);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&A, &a), "ancestor");

  p4est_nearest_common_ancestor_D (&I, &H, &a);
  SC_CHECK_ABORT (p4est_quadrant_is_equal (&A, &a), "ancestor_D");

  check_predecessor_successor (&I);
  check_successor_predecessor (&I);
  check_predecessor_successor (&H);
  check_predecessor_successor (&F);
  check_predecessor_successor (&G);

  for (k = 0; k < 16; ++k) {
    if (k != 4 && k != 6 && k != 8 && k != 9 && k != 12 && k != 13 && k != 14) {
      p4est_quadrant_set_morton (&E, 0, (uint64_t) k);
    }
  }
  p4est_quadrant_set_morton (&P, 0, 10);
  p4est_quadrant_set_morton (&Q, 0, 11);
  SC_CHECK_ABORT (p4est_quadrant_is_next (&P, &Q), "is_next");
  SC_CHECK_ABORT (!p4est_quadrant_is_next (&A, &Q), "is_next");

  sc_finalize ();

  mpiret = sc_MPI_Finalize ();
  SC_CHECK_MPI (mpiret);

  return 0;
}