[rtems commit] unit: Test red-black trees

Sebastian Huber sebh at rtems.org
Wed Apr 6 07:34:26 UTC 2022


Module:    rtems
Branch:    master
Commit:    c1a6e6275b72e26ec8aba375ed63532cd2d92218
Changeset: http://git.rtems.org/rtems/commit/?id=c1a6e6275b72e26ec8aba375ed63532cd2d92218

Author:    Sebastian Huber <sebastian.huber at embedded-brains.de>
Date:      Wed Oct  6 08:13:00 2021 +0200

unit: Test red-black trees

---

 spec/build/testsuites/unit/unit-no-clock-0.yml |    1 +
 testsuites/unit/tc-score-rbtree.c              | 1195 ++++++++++++++++++++++++
 2 files changed, 1196 insertions(+)

diff --git a/spec/build/testsuites/unit/unit-no-clock-0.yml b/spec/build/testsuites/unit/unit-no-clock-0.yml
index e742bd11f3..6f44ff478c 100644
--- a/spec/build/testsuites/unit/unit-no-clock-0.yml
+++ b/spec/build/testsuites/unit/unit-no-clock-0.yml
@@ -12,6 +12,7 @@ ldflags: []
 links: []
 source:
 - testsuites/unit/tc-misaligned-builtin-memcpy.c
+- testsuites/unit/tc-score-rbtree.c
 - testsuites/unit/ts-unit-no-clock-0.c
 stlib: []
 target: testsuites/unit/ts-unit-no-clock-0.exe
diff --git a/testsuites/unit/tc-score-rbtree.c b/testsuites/unit/tc-score-rbtree.c
new file mode 100644
index 0000000000..36fff61b8f
--- /dev/null
+++ b/testsuites/unit/tc-score-rbtree.c
@@ -0,0 +1,1195 @@
+/* SPDX-License-Identifier: BSD-2-Clause */
+
+/**
+ * @file
+ *
+ * @ingroup RTEMSTestCaseScoreRbtreeUnitRbtree
+ */
+
+/*
+ * Copyright (C) 2021 embedded brains GmbH (http://www.embedded-brains.de)
+ * Copyright (C) 2010 Gedare Bloom
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+ * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * This file is part of the RTEMS quality process and was automatically
+ * generated.  If you find something that needs to be fixed or
+ * worded better please post a report or patch to an RTEMS mailing list
+ * or raise a bug report:
+ *
+ * https://www.rtems.org/bugs.html
+ *
+ * For information on updating and regenerating please refer to the How-To
+ * section in the Software Requirements Engineering chapter of the
+ * RTEMS Software Engineering manual.  The manual is provided as a part of
+ * a release.  For development sources please refer to the online
+ * documentation at:
+ *
+ * https://docs.rtems.org
+ */
+
+#ifdef HAVE_CONFIG_H
+#include "config.h"
+#endif
+
+#include <string.h>
+#include <rtems/score/rbtreeimpl.h>
+
+#include <rtems/test.h>
+
+/**
+ * @defgroup RTEMSTestCaseScoreRbtreeUnitRbtree spec:/score/rbtree/unit/rbtree
+ *
+ * @ingroup RTEMSTestSuiteTestsuitesUnitNoClock0
+ *
+ * @brief Unit tests for the red-black tree implementation.
+ *
+ * The red-black trees are used by various handlers for priority queues and the
+ * timers.
+ *
+ * This test case performs the following actions:
+ *
+ * - Call _RBTree_Initialize_one() and check the tree properties.
+ *
+ *   - Check that the tree is not emtpy.
+ *
+ *   - Check that the tree root is is the only node.
+ *
+ *   - Check that the node is not off the tree.
+ *
+ *   - Check that the node has no left child.
+ *
+ *   - Check that the node has no right child.
+ *
+ *   - Check that the node has no parent.
+ *
+ *   - Check that the node has no successor.
+ *
+ *   - Check that the node has no predecessor.
+ *
+ *   - Check that the minimum node is the node.
+ *
+ *   - Check that the maximum node is the node.
+ *
+ *   - Check that the tree is emtpy after extraction of the node.
+ *
+ * - Call _RBTree_Insert_inline() and check the return status for a sample set
+ *   of nodes.
+ *
+ *   - Insert the first node.  Check that it is the new minimum node.
+ *
+ *   - Insert the second node.  Check that it is not the new minimum node.
+ *
+ *   - Insert the third node.  Check that it is the new minimum node.
+ *
+ * - Call _RBTree_Insert_inline() and _RBTree_Extract() for a sample set of
+ *   trees.
+ *
+ * @{
+ */
+
+typedef struct {
+  int         id;
+  int         key;
+  RBTree_Node Node;
+} TestNode;
+
+static TestNode node_array[ 100 ];
+
+static int Color( const RBTree_Node *n )
+{
+  return RB_COLOR( n, Node );
+}
+
+static bool Less( const void *left, const RBTree_Node *right )
+{
+  const int       *the_left;
+  const TestNode *the_right;
+
+  the_left = left;
+  the_right = RTEMS_CONTAINER_OF( right, TestNode, Node );
+
+  return *the_left < the_right->key;
+}
+
+/*
+ * recursively checks tree. if the tree is built properly it should only
+ * be a depth of 7 function calls for 100 entries in the tree.
+ */
+static int VerifyTree( RBTree_Node *root )
+{
+  RBTree_Node *ln;
+  RBTree_Node *rn;
+  TestNode    *tn;
+  TestNode    *ltn;
+  TestNode    *rtn;
+  int          lh;
+  int          rh;
+
+  if ( root == NULL ) {
+    return 1;
+  }
+
+  ln = _RBTree_Left( root );
+  rn = _RBTree_Right( root );
+  tn = RTEMS_CONTAINER_OF( root, TestNode, Node );
+  ltn = RTEMS_CONTAINER_OF( ln, TestNode, Node );
+  rtn = RTEMS_CONTAINER_OF( rn, TestNode, Node );
+
+  /* Consecutive red links */
+  if (
+    Color( root ) == RB_RED &&
+    ( ( ln != NULL && Color( ln ) == RB_RED ) ||
+      ( rn != NULL && Color( rn ) == RB_RED ) )
+  ) {
+    return -1;
+  }
+
+  lh = VerifyTree ( ln );
+  rh = VerifyTree ( rn );
+
+  if ( lh == -1 || rh == -1 ) {
+    return -1;
+  }
+
+  /* Black height mismatch */
+  if ( lh != rh ) {
+    return -1;
+  }
+
+  /* Invalid binary search tree */
+  if (
+    ( ln != NULL && tn->key != ltn->key && !Less( &ltn->key, root ) ) ||
+    ( rn != NULL && tn->key != rtn->key && !Less( &tn->key, rn ) )
+  ) {
+    return -1;
+  }
+
+  /* Only count black links */
+  return Color( root ) == RB_BLACK ? lh + 1 : lh;
+}
+
+#define TN( i ) &node_array[ i ].Node
+
+typedef struct {
+  int                key;
+  const RBTree_Node *parent;
+  const RBTree_Node *left;
+  const RBTree_Node *right;
+  int                color;
+} TestNodeDescription;
+
+typedef struct {
+  int                        current;
+  int                        count;
+  const TestNodeDescription *tree;
+} VisitorContext;
+
+static bool VisitNodes(
+  const RBTree_Node *node,
+  void              *visitor_arg
+)
+{
+  VisitorContext            *ctx;
+  const TestNodeDescription *td;
+  const TestNode            *tn;
+
+  ctx = visitor_arg;
+  td = &ctx->tree[ ctx->current ];
+  tn = RTEMS_CONTAINER_OF( node, TestNode, Node );
+
+  T_lt_int( ctx->current, ctx->count );
+
+  T_eq_int( td->key, tn->key );
+
+  if ( td->parent == NULL ) {
+    T_true( _RBTree_Is_root( &tn->Node ) );
+  } else {
+    T_eq_ptr( td->parent, _RBTree_Parent( &tn->Node ) );
+  }
+
+  T_eq_ptr( td->left, _RBTree_Left( &tn->Node ) );
+  T_eq_ptr( td->right, _RBTree_Right( &tn->Node ) );
+  T_eq_int( td->color, Color( &tn->Node ) );
+
+  ++ctx->current;
+
+  return false;
+}
+
+static const TestNodeDescription random_ops_tree_unique_1[] = {
+  { 0, NULL, NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_1[] = {
+  { 0, NULL, NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_2[] = {
+};
+
+static const TestNodeDescription random_ops_tree_multiple_2[] = {
+};
+
+static const TestNodeDescription random_ops_tree_unique_3[] = {
+  { 2, NULL, NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_3[] = {
+  { 1, NULL, NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_4[] = {
+  { 0, TN( 3 ), NULL, NULL, RB_RED },
+  { 3, NULL, TN( 0 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_4[] = {
+  { 0, NULL, NULL, TN( 3 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_5[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, NULL, TN( 0 ), TN( 4 ), RB_BLACK },
+  { 4, TN( 1 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_5[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 0, NULL, TN( 0 ), TN( 4 ), RB_BLACK },
+  { 2, TN( 1 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_6[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 2, NULL, TN( 0 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_6[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 1, NULL, TN( 0 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_7[] = {
+  { 0, TN( 2 ), NULL, TN( 1 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED },
+  { 2, NULL, TN( 0 ), TN( 5 ), RB_BLACK },
+  { 4, TN( 5 ), NULL, NULL, RB_RED },
+  { 5, TN( 2 ), TN( 4 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_7[] = {
+  { 0, TN( 2 ), NULL, TN( 1 ), RB_BLACK },
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 1, NULL, TN( 0 ), TN( 4 ), RB_BLACK },
+  { 2, TN( 4 ), NULL, NULL, RB_RED },
+  { 2, TN( 2 ), TN( 5 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_8[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_BLACK },
+  { 1, NULL, TN( 0 ), TN( 6 ), RB_BLACK },
+  { 5, TN( 6 ), NULL, NULL, RB_RED },
+  { 6, TN( 1 ), TN( 5 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_8[] = {
+  { 0, TN( 5 ), NULL, TN( 0 ), RB_BLACK },
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 2, NULL, TN( 1 ), TN( 6 ), RB_BLACK },
+  { 3, TN( 5 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_9[] = {
+  { 1, TN( 2 ), NULL, NULL, RB_BLACK },
+  { 2, TN( 6 ), TN( 1 ), TN( 4 ), RB_RED },
+  { 4, TN( 2 ), NULL, TN( 5 ), RB_BLACK },
+  { 5, TN( 4 ), NULL, NULL, RB_RED },
+  { 6, NULL, TN( 2 ), TN( 7 ), RB_BLACK },
+  { 7, TN( 6 ), NULL, TN( 8 ), RB_BLACK },
+  { 8, TN( 7 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_9[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_BLACK },
+  { 1, TN( 6 ), TN( 1 ), TN( 4 ), RB_RED },
+  { 2, TN( 2 ), NULL, TN( 5 ), RB_BLACK },
+  { 2, TN( 4 ), NULL, NULL, RB_RED },
+  { 3, NULL, TN( 2 ), TN( 7 ), RB_BLACK },
+  { 3, TN( 6 ), NULL, TN( 8 ), RB_BLACK },
+  { 4, TN( 7 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_10[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_BLACK },
+  { 2, TN( 6 ), TN( 0 ), TN( 4 ), RB_RED },
+  { 3, TN( 4 ), NULL, NULL, RB_RED },
+  { 4, TN( 2 ), TN( 3 ), NULL, RB_BLACK },
+  { 6, NULL, TN( 2 ), TN( 8 ), RB_BLACK },
+  { 8, TN( 6 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_10[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_BLACK },
+  { 1, TN( 6 ), TN( 0 ), TN( 4 ), RB_RED },
+  { 1, TN( 4 ), NULL, NULL, RB_RED },
+  { 2, TN( 2 ), TN( 3 ), NULL, RB_BLACK },
+  { 3, NULL, TN( 2 ), TN( 8 ), RB_BLACK },
+  { 4, TN( 6 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_11[] = {
+  { 2, TN( 6 ), NULL, NULL, RB_BLACK },
+  { 6, NULL, TN( 2 ), TN( 8 ), RB_BLACK },
+  { 7, TN( 8 ), NULL, NULL, RB_RED },
+  { 8, TN( 6 ), TN( 7 ), TN( 9 ), RB_BLACK },
+  { 9, TN( 8 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_11[] = {
+  { 1, TN( 6 ), NULL, NULL, RB_BLACK },
+  { 3, NULL, TN( 2 ), TN( 8 ), RB_BLACK },
+  { 3, TN( 8 ), NULL, NULL, RB_RED },
+  { 4, TN( 6 ), TN( 7 ), TN( 9 ), RB_BLACK },
+  { 4, TN( 8 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_12[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, TN( 3 ), TN( 0 ), TN( 2 ), RB_BLACK },
+  { 2, TN( 1 ), NULL, NULL, RB_RED },
+  { 3, TN( 5 ), TN( 1 ), TN( 4 ), RB_RED },
+  { 4, TN( 3 ), NULL, NULL, RB_BLACK },
+  { 5, NULL, TN( 3 ), TN( 9 ), RB_BLACK },
+  { 9, TN( 5 ), NULL, TN( 11 ), RB_BLACK },
+  { 11, TN( 9 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_12[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_BLACK },
+  { 0, TN( 5 ), TN( 0 ), TN( 3 ), RB_RED },
+  { 1, TN( 1 ), NULL, TN( 2 ), RB_BLACK },
+  { 1, TN( 3 ), NULL, NULL, RB_RED },
+  { 2, NULL, TN( 1 ), TN( 9 ), RB_BLACK },
+  { 2, TN( 9 ), NULL, NULL, RB_BLACK },
+  { 4, TN( 5 ), TN( 4 ), TN( 11 ), RB_RED },
+  { 5, TN( 9 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_13[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, TN( 3 ), TN( 0 ), NULL, RB_BLACK },
+  { 3, TN( 8 ), TN( 1 ), TN( 5 ), RB_RED },
+  { 4, TN( 5 ), NULL, NULL, RB_RED },
+  { 5, TN( 3 ), TN( 4 ), TN( 6 ), RB_BLACK },
+  { 6, TN( 5 ), NULL, NULL, RB_RED },
+  { 8, NULL, TN( 3 ), TN( 11 ), RB_BLACK },
+  { 10, TN( 11 ), NULL, NULL, RB_RED },
+  { 11, TN( 8 ), TN( 10 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_13[] = {
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 0, TN( 3 ), TN( 1 ), NULL, RB_BLACK },
+  { 1, TN( 6 ), TN( 0 ), TN( 4 ), RB_RED },
+  { 2, TN( 3 ), NULL, TN( 5 ), RB_BLACK },
+  { 2, TN( 4 ), NULL, NULL, RB_RED },
+  { 3, NULL, TN( 3 ), TN( 11 ), RB_BLACK },
+  { 4, TN( 11 ), NULL, NULL, RB_RED },
+  { 5, TN( 6 ), TN( 8 ), TN( 10 ), RB_BLACK },
+  { 5, TN( 11 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_14[] = {
+  { 3, TN( 5 ), NULL, NULL, RB_RED },
+  { 5, TN( 6 ), TN( 3 ), NULL, RB_BLACK },
+  { 6, NULL, TN( 5 ), TN( 12 ), RB_BLACK },
+  { 8, TN( 12 ), NULL, NULL, RB_BLACK },
+  { 12, TN( 6 ), TN( 8 ), TN( 13 ), RB_RED },
+  { 13, TN( 12 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_14[] = {
+  { 1, TN( 5 ), NULL, NULL, RB_RED },
+  { 2, TN( 6 ), TN( 3 ), NULL, RB_BLACK },
+  { 3, NULL, TN( 5 ), TN( 13 ), RB_BLACK },
+  { 4, TN( 13 ), NULL, NULL, RB_BLACK },
+  { 6, TN( 6 ), TN( 8 ), TN( 12 ), RB_RED },
+  { 6, TN( 13 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_15[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 2, TN( 8 ), TN( 0 ), TN( 7 ), RB_BLACK },
+  { 7, TN( 2 ), NULL, NULL, RB_RED },
+  { 8, NULL, TN( 2 ), TN( 12 ), RB_BLACK },
+  { 9, TN( 12 ), NULL, TN( 10 ), RB_BLACK },
+  { 10, TN( 9 ), NULL, NULL, RB_RED },
+  { 12, TN( 8 ), TN( 9 ), TN( 13 ), RB_RED },
+  { 13, TN( 12 ), NULL, TN( 14 ), RB_BLACK },
+  { 14, TN( 13 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_15[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 1, TN( 9 ), TN( 0 ), TN( 7 ), RB_BLACK },
+  { 3, TN( 2 ), NULL, NULL, RB_RED },
+  { 4, NULL, TN( 2 ), TN( 10 ), RB_BLACK },
+  { 4, TN( 10 ), NULL, NULL, RB_BLACK },
+  { 5, TN( 9 ), TN( 8 ), TN( 12 ), RB_RED },
+  { 6, TN( 12 ), NULL, NULL, RB_RED },
+  { 6, TN( 10 ), TN( 13 ), TN( 14 ), RB_BLACK },
+  { 7, TN( 12 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_16[] = {
+  { 0, TN( 5 ), NULL, TN( 3 ), RB_BLACK },
+  { 3, TN( 0 ), NULL, NULL, RB_RED },
+  { 5, TN( 10 ), TN( 0 ), TN( 7 ), RB_RED },
+  { 7, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 10, NULL, TN( 5 ), TN( 12 ), RB_BLACK },
+  { 12, TN( 10 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_16[] = {
+  { 0, TN( 5 ), NULL, TN( 3 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED },
+  { 2, TN( 10 ), TN( 0 ), TN( 7 ), RB_RED },
+  { 3, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 5, NULL, TN( 5 ), TN( 12 ), RB_BLACK },
+  { 6, TN( 10 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_17[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, TN( 3 ), TN( 0 ), NULL, RB_BLACK },
+  { 3, TN( 7 ), TN( 1 ), TN( 5 ), RB_RED },
+  { 4, TN( 5 ), NULL, NULL, RB_RED },
+  { 5, TN( 3 ), TN( 4 ), NULL, RB_BLACK },
+  { 7, NULL, TN( 3 ), TN( 9 ), RB_BLACK },
+  { 8, TN( 9 ), NULL, NULL, RB_BLACK },
+  { 9, TN( 7 ), TN( 8 ), TN( 16 ), RB_RED },
+  { 16, TN( 9 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_17[] = {
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 0, TN( 3 ), TN( 1 ), NULL, RB_BLACK },
+  { 1, TN( 7 ), TN( 0 ), TN( 5 ), RB_RED },
+  { 2, TN( 3 ), NULL, TN( 4 ), RB_BLACK },
+  { 2, TN( 5 ), NULL, NULL, RB_RED },
+  { 3, NULL, TN( 3 ), TN( 8 ), RB_BLACK },
+  { 4, TN( 8 ), NULL, NULL, RB_BLACK },
+  { 4, TN( 7 ), TN( 9 ), TN( 16 ), RB_RED },
+  { 8, TN( 8 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_18[] = {
+  { 0, TN( 2 ), NULL, TN( 1 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED },
+  { 2, TN( 4 ), TN( 0 ), TN( 3 ), RB_BLACK },
+  { 3, TN( 2 ), NULL, NULL, RB_BLACK },
+  { 4, NULL, TN( 2 ), TN( 12 ), RB_BLACK },
+  { 5, TN( 6 ), NULL, NULL, RB_RED },
+  { 6, TN( 8 ), TN( 5 ), TN( 7 ), RB_BLACK },
+  { 7, TN( 6 ), NULL, NULL, RB_RED },
+  { 8, TN( 12 ), TN( 6 ), TN( 10 ), RB_RED },
+  { 9, TN( 10 ), NULL, NULL, RB_RED },
+  { 10, TN( 8 ), TN( 9 ), NULL, RB_BLACK },
+  { 12, TN( 4 ), TN( 8 ), TN( 17 ), RB_BLACK },
+  { 14, TN( 17 ), NULL, NULL, RB_RED },
+  { 17, TN( 12 ), TN( 14 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_18[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 1, TN( 4 ), TN( 0 ), TN( 2 ), RB_BLACK },
+  { 1, TN( 3 ), NULL, NULL, RB_BLACK },
+  { 2, NULL, TN( 3 ), TN( 12 ), RB_BLACK },
+  { 2, TN( 6 ), NULL, NULL, RB_RED },
+  { 3, TN( 8 ), TN( 5 ), TN( 7 ), RB_BLACK },
+  { 3, TN( 6 ), NULL, NULL, RB_RED },
+  { 4, TN( 12 ), TN( 6 ), TN( 10 ), RB_RED },
+  { 4, TN( 10 ), NULL, NULL, RB_RED },
+  { 5, TN( 8 ), TN( 9 ), NULL, RB_BLACK },
+  { 6, TN( 4 ), TN( 8 ), TN( 14 ), RB_BLACK },
+  { 7, TN( 12 ), NULL, TN( 17 ), RB_BLACK },
+  { 8, TN( 14 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_19[] = {
+  { 1, TN( 2 ), NULL, NULL, RB_RED },
+  { 2, TN( 6 ), TN( 1 ), NULL, RB_BLACK },
+  { 6, TN( 11 ), TN( 2 ), TN( 8 ), RB_BLACK },
+  { 8, TN( 6 ), NULL, TN( 9 ), RB_BLACK },
+  { 9, TN( 8 ), NULL, NULL, RB_RED },
+  { 11, NULL, TN( 6 ), TN( 14 ), RB_BLACK },
+  { 12, TN( 14 ), NULL, NULL, RB_BLACK },
+  { 14, TN( 11 ), TN( 12 ), TN( 16 ), RB_BLACK },
+  { 16, TN( 14 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_19[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 1, TN( 6 ), TN( 1 ), NULL, RB_BLACK },
+  { 3, TN( 11 ), TN( 2 ), TN( 9 ), RB_BLACK },
+  { 4, TN( 6 ), NULL, TN( 8 ), RB_BLACK },
+  { 4, TN( 9 ), NULL, NULL, RB_RED },
+  { 5, NULL, TN( 6 ), TN( 14 ), RB_BLACK },
+  { 6, TN( 14 ), NULL, NULL, RB_BLACK },
+  { 7, TN( 11 ), TN( 12 ), TN( 16 ), RB_BLACK },
+  { 8, TN( 14 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_20[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED },
+  { 3, TN( 9 ), TN( 0 ), TN( 7 ), RB_BLACK },
+  { 4, TN( 7 ), NULL, NULL, RB_RED },
+  { 7, TN( 3 ), TN( 4 ), NULL, RB_BLACK },
+  { 9, NULL, TN( 3 ), TN( 12 ), RB_BLACK },
+  { 10, TN( 12 ), NULL, NULL, RB_BLACK },
+  { 12, TN( 9 ), TN( 10 ), TN( 17 ), RB_BLACK },
+  { 14, TN( 17 ), NULL, NULL, RB_BLACK },
+  { 17, TN( 12 ), TN( 14 ), TN( 18 ), RB_RED },
+  { 18, TN( 17 ), NULL, TN( 19 ), RB_BLACK },
+  { 19, TN( 18 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_20[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 1, TN( 9 ), TN( 0 ), TN( 7 ), RB_BLACK },
+  { 2, TN( 7 ), NULL, NULL, RB_RED },
+  { 3, TN( 3 ), TN( 4 ), NULL, RB_BLACK },
+  { 4, NULL, TN( 3 ), TN( 14 ), RB_BLACK },
+  { 5, TN( 14 ), NULL, TN( 12 ), RB_BLACK },
+  { 6, TN( 10 ), NULL, NULL, RB_RED },
+  { 7, TN( 9 ), TN( 10 ), TN( 18 ), RB_BLACK },
+  { 8, TN( 18 ), NULL, NULL, RB_RED },
+  { 9, TN( 14 ), TN( 17 ), TN( 19 ), RB_BLACK },
+  { 9, TN( 18 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_21[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED },
+  { 3, TN( 11 ), TN( 0 ), TN( 5 ), RB_BLACK },
+  { 4, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 5, TN( 3 ), TN( 4 ), TN( 8 ), RB_RED },
+  { 8, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 11, NULL, TN( 3 ), TN( 15 ), RB_BLACK },
+  { 13, TN( 15 ), NULL, NULL, RB_BLACK },
+  { 15, TN( 11 ), TN( 13 ), TN( 17 ), RB_BLACK },
+  { 16, TN( 17 ), NULL, NULL, RB_RED },
+  { 17, TN( 15 ), TN( 16 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_21[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 1, TN( 8 ), TN( 0 ), TN( 4 ), RB_BLACK },
+  { 2, TN( 3 ), NULL, TN( 5 ), RB_BLACK },
+  { 2, TN( 4 ), NULL, NULL, RB_RED },
+  { 4, NULL, TN( 3 ), TN( 13 ), RB_BLACK },
+  { 5, TN( 13 ), NULL, NULL, RB_BLACK },
+  { 6, TN( 8 ), TN( 11 ), TN( 17 ), RB_BLACK },
+  { 7, TN( 17 ), NULL, NULL, RB_BLACK },
+  { 8, TN( 13 ), TN( 15 ), TN( 16 ), RB_RED },
+  { 8, TN( 17 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_22[] = {
+  { 1, TN( 3 ), NULL, TN( 2 ), RB_BLACK },
+  { 2, TN( 1 ), NULL, NULL, RB_RED },
+  { 3, TN( 8 ), TN( 1 ), TN( 7 ), RB_BLACK },
+  { 4, TN( 7 ), NULL, NULL, RB_RED },
+  { 7, TN( 3 ), TN( 4 ), NULL, RB_BLACK },
+  { 8, NULL, TN( 3 ), TN( 14 ), RB_BLACK },
+  { 10, TN( 11 ), NULL, NULL, RB_RED },
+  { 11, TN( 14 ), TN( 10 ), NULL, RB_BLACK },
+  { 14, TN( 8 ), TN( 11 ), TN( 18 ), RB_BLACK },
+  { 15, TN( 18 ), NULL, NULL, RB_BLACK },
+  { 18, TN( 14 ), TN( 15 ), TN( 21 ), RB_RED },
+  { 21, TN( 18 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_22[] = {
+  { 0, TN( 3 ), NULL, NULL, RB_BLACK },
+  { 1, TN( 8 ), TN( 1 ), TN( 4 ), RB_BLACK },
+  { 1, TN( 4 ), NULL, NULL, RB_BLACK },
+  { 2, TN( 3 ), TN( 2 ), TN( 7 ), RB_RED },
+  { 3, TN( 4 ), NULL, NULL, RB_BLACK },
+  { 4, NULL, TN( 3 ), TN( 14 ), RB_BLACK },
+  { 5, TN( 14 ), NULL, TN( 10 ), RB_BLACK },
+  { 5, TN( 11 ), NULL, NULL, RB_RED },
+  { 7, TN( 8 ), TN( 11 ), TN( 18 ), RB_BLACK },
+  { 7, TN( 18 ), NULL, NULL, RB_BLACK },
+  { 9, TN( 14 ), TN( 15 ), TN( 21 ), RB_RED },
+  { 10, TN( 18 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_23[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 2, TN( 8 ), TN( 0 ), TN( 7 ), RB_BLACK },
+  { 7, TN( 2 ), NULL, NULL, RB_RED },
+  { 8, TN( 12 ), TN( 2 ), TN( 11 ), RB_BLACK },
+  { 11, TN( 8 ), NULL, NULL, RB_BLACK },
+  { 12, NULL, TN( 8 ), TN( 17 ), RB_BLACK },
+  { 13, TN( 15 ), NULL, TN( 14 ), RB_BLACK },
+  { 14, TN( 13 ), NULL, NULL, RB_RED },
+  { 15, TN( 17 ), TN( 13 ), TN( 16 ), RB_RED },
+  { 16, TN( 15 ), NULL, NULL, RB_BLACK },
+  { 17, TN( 12 ), TN( 15 ), TN( 20 ), RB_BLACK },
+  { 20, TN( 17 ), NULL, TN( 21 ), RB_BLACK },
+  { 21, TN( 20 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_23[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 1, TN( 8 ), TN( 0 ), TN( 7 ), RB_BLACK },
+  { 3, TN( 2 ), NULL, NULL, RB_RED },
+  { 4, TN( 12 ), TN( 2 ), TN( 11 ), RB_BLACK },
+  { 5, TN( 8 ), NULL, NULL, RB_BLACK },
+  { 6, NULL, TN( 8 ), TN( 17 ), RB_BLACK },
+  { 6, TN( 15 ), NULL, NULL, RB_BLACK },
+  { 7, TN( 17 ), TN( 13 ), TN( 16 ), RB_RED },
+  { 7, TN( 16 ), NULL, NULL, RB_RED },
+  { 8, TN( 15 ), TN( 14 ), NULL, RB_BLACK },
+  { 8, TN( 12 ), TN( 15 ), TN( 20 ), RB_BLACK },
+  { 10, TN( 17 ), NULL, TN( 21 ), RB_BLACK },
+  { 10, TN( 20 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_24[] = {
+  { 4, TN( 6 ), NULL, TN( 5 ), RB_BLACK },
+  { 5, TN( 4 ), NULL, NULL, RB_RED },
+  { 6, TN( 14 ), TN( 4 ), TN( 10 ), RB_BLACK },
+  { 8, TN( 10 ), NULL, NULL, RB_RED },
+  { 10, TN( 6 ), TN( 8 ), NULL, RB_BLACK },
+  { 14, NULL, TN( 6 ), TN( 20 ), RB_BLACK },
+  { 15, TN( 16 ), NULL, NULL, RB_RED },
+  { 16, TN( 20 ), TN( 15 ), NULL, RB_BLACK },
+  { 20, TN( 14 ), TN( 16 ), TN( 22 ), RB_BLACK },
+  { 22, TN( 20 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_24[] = {
+  { 2, TN( 6 ), NULL, TN( 5 ), RB_BLACK },
+  { 2, TN( 4 ), NULL, NULL, RB_RED },
+  { 3, TN( 14 ), TN( 4 ), TN( 10 ), RB_BLACK },
+  { 4, TN( 10 ), NULL, NULL, RB_RED },
+  { 5, TN( 6 ), TN( 8 ), NULL, RB_BLACK },
+  { 7, NULL, TN( 6 ), TN( 20 ), RB_BLACK },
+  { 7, TN( 16 ), NULL, NULL, RB_RED },
+  { 8, TN( 20 ), TN( 15 ), NULL, RB_BLACK },
+  { 10, TN( 14 ), TN( 16 ), TN( 22 ), RB_BLACK },
+  { 11, TN( 20 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_25[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, TN( 3 ), TN( 0 ), NULL, RB_BLACK },
+  { 3, TN( 13 ), TN( 1 ), TN( 5 ), RB_BLACK },
+  { 4, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 5, TN( 3 ), TN( 4 ), TN( 6 ), RB_RED },
+  { 6, TN( 5 ), NULL, TN( 9 ), RB_BLACK },
+  { 9, TN( 6 ), NULL, NULL, RB_RED },
+  { 13, NULL, TN( 3 ), TN( 19 ), RB_BLACK },
+  { 14, TN( 15 ), NULL, NULL, RB_RED },
+  { 15, TN( 16 ), TN( 14 ), NULL, RB_BLACK },
+  { 16, TN( 19 ), TN( 15 ), TN( 17 ), RB_RED },
+  { 17, TN( 16 ), NULL, NULL, RB_BLACK },
+  { 19, TN( 13 ), TN( 16 ), TN( 23 ), RB_BLACK },
+  { 23, TN( 19 ), NULL, TN( 24 ), RB_BLACK },
+  { 24, TN( 23 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_25[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 1, TN( 13 ), TN( 0 ), TN( 4 ), RB_BLACK },
+  { 2, TN( 4 ), NULL, NULL, RB_BLACK },
+  { 2, TN( 3 ), TN( 5 ), TN( 6 ), RB_RED },
+  { 3, TN( 4 ), NULL, TN( 9 ), RB_BLACK },
+  { 4, TN( 6 ), NULL, NULL, RB_RED },
+  { 6, NULL, TN( 3 ), TN( 19 ), RB_BLACK },
+  { 7, TN( 17 ), NULL, TN( 14 ), RB_BLACK },
+  { 7, TN( 15 ), NULL, NULL, RB_RED },
+  { 8, TN( 19 ), TN( 15 ), TN( 16 ), RB_RED },
+  { 8, TN( 17 ), NULL, NULL, RB_BLACK },
+  { 9, TN( 13 ), TN( 17 ), TN( 23 ), RB_BLACK },
+  { 11, TN( 19 ), NULL, TN( 24 ), RB_BLACK },
+  { 12, TN( 23 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_26[] = {
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, TN( 3 ), TN( 0 ), NULL, RB_BLACK },
+  { 3, TN( 11 ), TN( 1 ), TN( 9 ), RB_BLACK },
+  { 6, TN( 9 ), NULL, NULL, RB_RED },
+  { 9, TN( 3 ), TN( 6 ), TN( 10 ), RB_BLACK },
+  { 10, TN( 9 ), NULL, NULL, RB_RED },
+  { 11, NULL, TN( 3 ), TN( 14 ), RB_BLACK },
+  { 12, TN( 14 ), NULL, TN( 13 ), RB_BLACK },
+  { 13, TN( 12 ), NULL, NULL, RB_RED },
+  { 14, TN( 11 ), TN( 12 ), TN( 20 ), RB_BLACK },
+  { 18, TN( 20 ), NULL, NULL, RB_BLACK },
+  { 20, TN( 14 ), TN( 18 ), TN( 23 ), RB_RED },
+  { 21, TN( 23 ), NULL, NULL, RB_RED },
+  { 23, TN( 20 ), TN( 21 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_26[] = {
+  { 0, TN( 3 ), NULL, TN( 0 ), RB_BLACK },
+  { 0, TN( 1 ), NULL, NULL, RB_RED },
+  { 1, TN( 9 ), TN( 1 ), TN( 6 ), RB_BLACK },
+  { 3, TN( 3 ), NULL, NULL, RB_BLACK },
+  { 4, NULL, TN( 3 ), TN( 14 ), RB_BLACK },
+  { 5, TN( 12 ), NULL, TN( 10 ), RB_BLACK },
+  { 5, TN( 11 ), NULL, NULL, RB_RED },
+  { 6, TN( 14 ), TN( 11 ), TN( 13 ), RB_RED },
+  { 6, TN( 12 ), NULL, NULL, RB_BLACK },
+  { 7, TN( 9 ), TN( 12 ), TN( 20 ), RB_BLACK },
+  { 9, TN( 20 ), NULL, NULL, RB_BLACK },
+  { 10, TN( 14 ), TN( 18 ), TN( 23 ), RB_RED },
+  { 10, TN( 23 ), NULL, NULL, RB_RED },
+  { 11, TN( 20 ), TN( 21 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_27[] = {
+  { 3, TN( 8 ), NULL, NULL, RB_BLACK },
+  { 8, TN( 19 ), TN( 3 ), TN( 17 ), RB_BLACK },
+  { 12, TN( 17 ), NULL, NULL, RB_RED },
+  { 17, TN( 8 ), TN( 12 ), NULL, RB_BLACK },
+  { 19, NULL, TN( 8 ), TN( 24 ), RB_BLACK },
+  { 20, TN( 21 ), NULL, NULL, RB_RED },
+  { 21, TN( 24 ), TN( 20 ), TN( 23 ), RB_BLACK },
+  { 23, TN( 21 ), NULL, NULL, RB_RED },
+  { 24, TN( 19 ), TN( 21 ), TN( 25 ), RB_BLACK },
+  { 25, TN( 24 ), NULL, TN( 26 ), RB_BLACK },
+  { 26, TN( 25 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_27[] = {
+  { 1, TN( 8 ), NULL, NULL, RB_BLACK },
+  { 4, TN( 19 ), TN( 3 ), TN( 17 ), RB_BLACK },
+  { 6, TN( 17 ), NULL, NULL, RB_RED },
+  { 8, TN( 8 ), TN( 12 ), NULL, RB_BLACK },
+  { 9, NULL, TN( 8 ), TN( 25 ), RB_BLACK },
+  { 10, TN( 21 ), NULL, NULL, RB_RED },
+  { 10, TN( 25 ), TN( 20 ), TN( 23 ), RB_BLACK },
+  { 11, TN( 21 ), NULL, NULL, RB_RED },
+  { 12, TN( 19 ), TN( 21 ), TN( 24 ), RB_BLACK },
+  { 12, TN( 25 ), NULL, TN( 26 ), RB_BLACK },
+  { 13, TN( 24 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_28[] = {
+  { 0, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 5, TN( 13 ), TN( 0 ), TN( 7 ), RB_RED },
+  { 7, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 13, NULL, TN( 5 ), TN( 17 ), RB_BLACK },
+  { 15, TN( 17 ), NULL, NULL, RB_BLACK },
+  { 17, TN( 13 ), TN( 15 ), TN( 26 ), RB_RED },
+  { 21, TN( 26 ), NULL, NULL, RB_RED },
+  { 26, TN( 17 ), TN( 21 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_28[] = {
+  { 0, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 2, TN( 13 ), TN( 0 ), TN( 7 ), RB_RED },
+  { 3, TN( 5 ), NULL, NULL, RB_BLACK },
+  { 6, NULL, TN( 5 ), TN( 17 ), RB_BLACK },
+  { 7, TN( 17 ), NULL, NULL, RB_BLACK },
+  { 8, TN( 13 ), TN( 15 ), TN( 26 ), RB_RED },
+  { 10, TN( 26 ), NULL, NULL, RB_RED },
+  { 13, TN( 17 ), TN( 21 ), NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_unique_29[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 1, TN( 0 ), NULL, NULL, RB_RED },
+  { 3, TN( 12 ), TN( 0 ), TN( 6 ), RB_BLACK },
+  { 4, TN( 6 ), NULL, NULL, RB_BLACK },
+  { 6, TN( 3 ), TN( 4 ), TN( 8 ), RB_RED },
+  { 7, TN( 8 ), NULL, NULL, RB_RED },
+  { 8, TN( 6 ), TN( 7 ), TN( 11 ), RB_BLACK },
+  { 11, TN( 8 ), NULL, NULL, RB_RED },
+  { 12, NULL, TN( 3 ), TN( 17 ), RB_BLACK },
+  { 13, TN( 17 ), NULL, TN( 14 ), RB_BLACK },
+  { 14, TN( 13 ), NULL, NULL, RB_RED },
+  { 17, TN( 12 ), TN( 13 ), TN( 25 ), RB_BLACK },
+  { 22, TN( 25 ), NULL, NULL, RB_RED },
+  { 25, TN( 17 ), TN( 22 ), TN( 27 ), RB_BLACK },
+  { 27, TN( 25 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_29[] = {
+  { 0, TN( 3 ), NULL, TN( 1 ), RB_BLACK },
+  { 0, TN( 0 ), NULL, NULL, RB_RED },
+  { 1, TN( 11 ), TN( 0 ), TN( 6 ), RB_BLACK },
+  { 2, TN( 6 ), NULL, NULL, RB_BLACK },
+  { 3, TN( 3 ), TN( 4 ), TN( 7 ), RB_RED },
+  { 3, TN( 6 ), NULL, TN( 8 ), RB_BLACK },
+  { 4, TN( 7 ), NULL, NULL, RB_RED },
+  { 5, NULL, TN( 3 ), TN( 22 ), RB_BLACK },
+  { 6, TN( 12 ), NULL, NULL, RB_BLACK },
+  { 6, TN( 22 ), TN( 13 ), TN( 17 ), RB_RED },
+  { 7, TN( 17 ), NULL, NULL, RB_RED },
+  { 8, TN( 12 ), TN( 14 ), NULL, RB_BLACK },
+  { 11, TN( 11 ), TN( 12 ), TN( 25 ), RB_BLACK },
+  { 12, TN( 22 ), NULL, TN( 27 ), RB_BLACK },
+  { 13, TN( 25 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_30[] = {
+  { 0, TN( 4 ), NULL, NULL, RB_RED },
+  { 4, TN( 6 ), TN( 0 ), NULL, RB_BLACK },
+  { 6, TN( 13 ), TN( 4 ), TN( 9 ), RB_RED },
+  { 8, TN( 9 ), NULL, NULL, RB_RED },
+  { 9, TN( 6 ), TN( 8 ), TN( 12 ), RB_BLACK },
+  { 12, TN( 9 ), NULL, NULL, RB_RED },
+  { 13, NULL, TN( 6 ), TN( 18 ), RB_BLACK },
+  { 14, TN( 16 ), NULL, NULL, RB_RED },
+  { 16, TN( 18 ), TN( 14 ), TN( 17 ), RB_BLACK },
+  { 17, TN( 16 ), NULL, NULL, RB_RED },
+  { 18, TN( 13 ), TN( 16 ), TN( 27 ), RB_RED },
+  { 20, TN( 27 ), NULL, NULL, RB_RED },
+  { 27, TN( 18 ), TN( 20 ), TN( 28 ), RB_BLACK },
+  { 28, TN( 27 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_30[] = {
+  { 0, TN( 4 ), NULL, NULL, RB_BLACK },
+  { 2, TN( 13 ), TN( 0 ), TN( 9 ), RB_RED },
+  { 3, TN( 9 ), NULL, NULL, RB_RED },
+  { 4, TN( 4 ), TN( 6 ), TN( 8 ), RB_BLACK },
+  { 4, TN( 9 ), NULL, NULL, RB_RED },
+  { 6, TN( 14 ), TN( 4 ), TN( 12 ), RB_BLACK },
+  { 6, TN( 13 ), NULL, NULL, RB_BLACK },
+  { 7, NULL, TN( 13 ), TN( 18 ), RB_BLACK },
+  { 8, TN( 18 ), NULL, TN( 16 ), RB_BLACK },
+  { 8, TN( 17 ), NULL, NULL, RB_RED },
+  { 9, TN( 14 ), TN( 17 ), TN( 27 ), RB_BLACK },
+  { 10, TN( 27 ), NULL, NULL, RB_RED },
+  { 13, TN( 18 ), TN( 20 ), TN( 28 ), RB_BLACK },
+  { 14, TN( 27 ), NULL, NULL, RB_RED }
+};
+
+static const TestNodeDescription random_ops_tree_unique_31[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 2, TN( 5 ), TN( 0 ), NULL, RB_BLACK },
+  { 5, TN( 11 ), TN( 2 ), TN( 9 ), RB_BLACK },
+  { 7, TN( 9 ), NULL, NULL, RB_RED },
+  { 9, TN( 5 ), TN( 7 ), NULL, RB_BLACK },
+  { 11, NULL, TN( 5 ), TN( 21 ), RB_BLACK },
+  { 14, TN( 16 ), NULL, NULL, RB_RED },
+  { 16, TN( 21 ), TN( 14 ), TN( 18 ), RB_BLACK },
+  { 18, TN( 16 ), NULL, NULL, RB_RED },
+  { 21, TN( 11 ), TN( 16 ), TN( 30 ), RB_BLACK },
+  { 30, TN( 21 ), NULL, NULL, RB_BLACK }
+};
+
+static const TestNodeDescription random_ops_tree_multiple_31[] = {
+  { 0, TN( 2 ), NULL, NULL, RB_RED },
+  { 1, TN( 5 ), TN( 0 ), NULL, RB_BLACK },
+  { 2, TN( 11 ), TN( 2 ), TN( 9 ), RB_BLACK },
+  { 3, TN( 9 ), NULL, NULL, RB_RED },
+  { 4, TN( 5 ), TN( 7 ), NULL, RB_BLACK },
+  { 5, NULL, TN( 5 ), TN( 21 ), RB_BLACK },
+  { 7, TN( 16 ), NULL, NULL, RB_RED },
+  { 8, TN( 21 ), TN( 14 ), TN( 18 ), RB_BLACK },
+  { 9, TN( 16 ), NULL, NULL, RB_RED },
+  { 10, TN( 11 ), TN( 16 ), TN( 30 ), RB_BLACK },
+  { 15, TN( 21 ), NULL, NULL, RB_BLACK }
+};
+
+#define RANDOM_OPS_TREE( i ) \
+  { &random_ops_tree_multiple_##i[ 0 ], &random_ops_tree_unique_##i[ 0 ] }
+
+static const TestNodeDescription *const random_ops_trees[][2] = {
+  RANDOM_OPS_TREE( 1 ),
+  RANDOM_OPS_TREE( 2 ),
+  RANDOM_OPS_TREE( 3 ),
+  RANDOM_OPS_TREE( 4 ),
+  RANDOM_OPS_TREE( 5 ),
+  RANDOM_OPS_TREE( 6 ),
+  RANDOM_OPS_TREE( 7 ),
+  RANDOM_OPS_TREE( 8 ),
+  RANDOM_OPS_TREE( 9 ),
+  RANDOM_OPS_TREE( 10 ),
+  RANDOM_OPS_TREE( 11 ),
+  RANDOM_OPS_TREE( 12 ),
+  RANDOM_OPS_TREE( 13 ),
+  RANDOM_OPS_TREE( 14 ),
+  RANDOM_OPS_TREE( 15 ),
+  RANDOM_OPS_TREE( 16 ),
+  RANDOM_OPS_TREE( 17 ),
+  RANDOM_OPS_TREE( 18 ),
+  RANDOM_OPS_TREE( 19 ),
+  RANDOM_OPS_TREE( 20 ),
+  RANDOM_OPS_TREE( 21 ),
+  RANDOM_OPS_TREE( 22 ),
+  RANDOM_OPS_TREE( 23 ),
+  RANDOM_OPS_TREE( 24 ),
+  RANDOM_OPS_TREE( 25 ),
+  RANDOM_OPS_TREE( 26 ),
+  RANDOM_OPS_TREE( 27 ),
+  RANDOM_OPS_TREE( 28 ),
+  RANDOM_OPS_TREE( 29 ),
+  RANDOM_OPS_TREE( 30 ),
+  RANDOM_OPS_TREE( 31 )
+};
+
+#define RANDOM_OPS_TREE_COUNT( i ) \
+  { \
+    RTEMS_ARRAY_SIZE( random_ops_tree_multiple_##i ), \
+    RTEMS_ARRAY_SIZE( random_ops_tree_unique_##i ) \
+  }
+
+static const size_t random_ops_tree_counts[][2] = {
+  RANDOM_OPS_TREE_COUNT( 1 ),
+  RANDOM_OPS_TREE_COUNT( 2 ),
+  RANDOM_OPS_TREE_COUNT( 3 ),
+  RANDOM_OPS_TREE_COUNT( 4 ),
+  RANDOM_OPS_TREE_COUNT( 5 ),
+  RANDOM_OPS_TREE_COUNT( 6 ),
+  RANDOM_OPS_TREE_COUNT( 7 ),
+  RANDOM_OPS_TREE_COUNT( 8 ),
+  RANDOM_OPS_TREE_COUNT( 9 ),
+  RANDOM_OPS_TREE_COUNT( 10 ),
+  RANDOM_OPS_TREE_COUNT( 11 ),
+  RANDOM_OPS_TREE_COUNT( 12 ),
+  RANDOM_OPS_TREE_COUNT( 13 ),
+  RANDOM_OPS_TREE_COUNT( 14 ),
+  RANDOM_OPS_TREE_COUNT( 15 ),
+  RANDOM_OPS_TREE_COUNT( 16 ),
+  RANDOM_OPS_TREE_COUNT( 17 ),
+  RANDOM_OPS_TREE_COUNT( 18 ),
+  RANDOM_OPS_TREE_COUNT( 19 ),
+  RANDOM_OPS_TREE_COUNT( 20 ),
+  RANDOM_OPS_TREE_COUNT( 21 ),
+  RANDOM_OPS_TREE_COUNT( 22 ),
+  RANDOM_OPS_TREE_COUNT( 23 ),
+  RANDOM_OPS_TREE_COUNT( 24 ),
+  RANDOM_OPS_TREE_COUNT( 25 ),
+  RANDOM_OPS_TREE_COUNT( 26 ),
+  RANDOM_OPS_TREE_COUNT( 27 ),
+  RANDOM_OPS_TREE_COUNT( 28 ),
+  RANDOM_OPS_TREE_COUNT( 29 ),
+  RANDOM_OPS_TREE_COUNT( 30 ),
+  RANDOM_OPS_TREE_COUNT( 31 )
+};
+
+static uint32_t SimpleRandom( uint32_t v )
+{
+  v *= 1664525;
+  v += 1013904223;
+
+  return v;
+}
+
+static void RandomOps( size_t n, bool unique )
+{
+  VisitorContext ctx = {
+    .current = 0,
+    .count = random_ops_tree_counts[ n - 1 ][ unique ],
+    .tree = random_ops_trees[ n - 1 ][ unique ]
+  };
+  RBTree_Control tree;
+  TestNode      *nodes;
+  size_t         m;
+  size_t         s;
+  uint32_t       v;
+  size_t         i;
+
+  nodes = &node_array[ 0 ];
+  m = n * n * n;
+  s = unique ? 1 : 2;
+  v = 0xdeadbeef;
+  _RBTree_Initialize_empty( &tree );
+
+  memset( nodes, 0, n * sizeof( *nodes ) );
+
+  for ( i = 0; i < n; ++i ) {
+    nodes[ i ].key = (int) ( i / s );
+  }
+
+  for ( i = 0; i < m; ++i ) {
+    size_t j = ( v >> 13 ) % n;
+    TestNode *tn = &nodes[ j ];
+
+    if ( tn->id == 0 ) {
+      tn->id = 1;
+      _RBTree_Initialize_node( &tn->Node );
+      _RBTree_Insert_inline( &tree, &tn->Node, &tn->key, Less );
+    } else {
+      tn->id = 0;
+      _RBTree_Extract( &tree, &tn->Node );
+    }
+
+    T_ne_int( VerifyTree( _RBTree_Root( &tree ) ), -1 );
+
+    v = SimpleRandom( v );
+  }
+
+  _RBTree_Iterate( &tree, VisitNodes, &ctx );
+  T_true( ctx.current == ctx.count );
+}
+
+/**
+ * @brief Call _RBTree_Initialize_one() and check the tree properties.
+ */
+static void ScoreRbtreeUnitRbtree_Action_0( void )
+{
+  RBTree_Control tree;
+  RBTree_Node    node;
+
+  _RBTree_Initialize_node( &node );
+  _RBTree_Initialize_one( &tree, &node );
+
+  /*
+   * Check that the tree is not emtpy.
+   */
+  T_false( _RBTree_Is_empty( &tree ) );
+
+  /*
+   * Check that the tree root is is the only node.
+   */
+  T_true( _RBTree_Is_root( &node ) );
+
+  /*
+   * Check that the node is not off the tree.
+   */
+  T_false( _RBTree_Is_node_off_tree( &node ) );
+
+  /*
+   * Check that the node has no left child.
+   */
+  T_null( _RBTree_Left( &node ) );
+
+  /*
+   * Check that the node has no right child.
+   */
+  T_null( _RBTree_Right( &node ) );
+
+  /*
+   * Check that the node has no parent.
+   */
+  T_null( _RBTree_Parent( &node ) );
+
+  /*
+   * Check that the node has no successor.
+   */
+  T_null( _RBTree_Successor( &node ) );
+
+  /*
+   * Check that the node has no predecessor.
+   */
+  T_null( _RBTree_Predecessor( &node ) );
+
+  /*
+   * Check that the minimum node is the node.
+   */
+  T_eq_ptr( _RBTree_Minimum( &tree ), &node );
+
+  /*
+   * Check that the maximum node is the node.
+   */
+  T_eq_ptr( _RBTree_Maximum( &tree ), &node );
+
+  /*
+   * Check that the tree is emtpy after extraction of the node.
+   */
+  _RBTree_Extract( &tree, &node );
+  T_true( _RBTree_Is_empty( &tree ) );
+}
+
+/**
+ * @brief Call _RBTree_Insert_inline() and check the return status for a sample
+ *   set of nodes.
+ */
+static void ScoreRbtreeUnitRbtree_Action_1( void )
+{
+  RBTree_Control tree;
+  TestNode       a;
+  TestNode       b;
+  TestNode       c;
+  bool           is_new_minimum;
+
+  _RBTree_Initialize_empty( &tree );
+
+  /*
+   * Insert the first node.  Check that it is the new minimum node.
+   */
+  _RBTree_Initialize_node( &b.Node );
+  b.key = 2;
+  is_new_minimum = _RBTree_Insert_inline( &tree, &b.Node, &b.key, Less );
+  T_true( is_new_minimum );
+
+  /*
+   * Insert the second node.  Check that it is not the new minimum node.
+   */
+  _RBTree_Initialize_node( &c.Node );
+  c.key = 3;
+  is_new_minimum = _RBTree_Insert_inline( &tree, &c.Node, &c.key, Less );
+  T_false( is_new_minimum );
+
+  /*
+   * Insert the third node.  Check that it is the new minimum node.
+   */
+  _RBTree_Initialize_node( &a.Node );
+  a.key = 1;
+  is_new_minimum = _RBTree_Insert_inline( &tree, &a.Node, &a.key, Less );
+  T_true( is_new_minimum );
+}
+
+/**
+ * @brief Call _RBTree_Insert_inline() and _RBTree_Extract() for a sample set
+ *   of trees.
+ */
+static void ScoreRbtreeUnitRbtree_Action_2( void )
+{
+  size_t n;
+
+  for ( n = 0; n < RTEMS_ARRAY_SIZE( random_ops_trees ); ++n ) {
+    RandomOps( n + 1, true );
+    RandomOps( n + 1, false );
+  }
+}
+
+/**
+ * @fn void T_case_body_ScoreRbtreeUnitRbtree( void )
+ */
+T_TEST_CASE( ScoreRbtreeUnitRbtree )
+{
+  ScoreRbtreeUnitRbtree_Action_0();
+  ScoreRbtreeUnitRbtree_Action_1();
+  ScoreRbtreeUnitRbtree_Action_2();
+}
+
+/** @} */



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