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authorBeniamino Galvani <bgalvani@redhat.com>2018-09-18 15:08:36 +0200
committerBeniamino Galvani <bgalvani@redhat.com>2018-09-18 15:08:36 +0200
commit4f4e96655625a0ad8c5fc451c5a3a8dda3bf5456 (patch)
tree5814fd6741963ee2f010c351433a76a93b7af210
downloadNetworkManager-4f4e96655625a0ad8c5fc451c5a3a8dda3bf5456.tar.gz
Squashed 'shared/c-rbtree/' content from commit bf627e0c3
git-subtree-dir: shared/c-rbtree git-subtree-split: bf627e0c32241915108f66ad9738444e4d045b45
-rwxr-xr-x.cherryci/ci-test12
-rw-r--r--.editorconfig11
-rw-r--r--.travis.yml21
-rw-r--r--AUTHORS37
-rw-r--r--AUTHORS-ASL201
-rw-r--r--AUTHORS-LGPL502
l---------LICENSE1
-rw-r--r--NEWS40
-rw-r--r--README52
-rw-r--r--meson.build15
-rw-r--r--src/c-rbtree-private.h40
-rw-r--r--src/c-rbtree.c1118
-rw-r--r--src/c-rbtree.h430
-rw-r--r--src/libcrbtree.sym21
-rw-r--r--src/meson.build69
-rw-r--r--src/test-api.c108
-rw-r--r--src/test-basic.c239
-rw-r--r--src/test-map.c277
-rw-r--r--src/test-misc.c66
-rw-r--r--src/test-parallel.c384
-rw-r--r--src/test-posix.c270
21 files changed, 3914 insertions, 0 deletions
diff --git a/.cherryci/ci-test b/.cherryci/ci-test
new file mode 100755
index 0000000000..78b0423f6b
--- /dev/null
+++ b/.cherryci/ci-test
@@ -0,0 +1,12 @@
+#!/bin/bash
+
+set -e
+
+rm -Rf "./ci-build"
+mkdir "./ci-build"
+cd "./ci-build"
+
+${CHERRY_LIB_MESONSETUP} . "${CHERRY_LIB_SRCDIR}"
+${CHERRY_LIB_NINJABUILD}
+CRBTREE_TEST_PTRACE=1 ${CHERRY_LIB_MESONTEST}
+(( ! CHERRY_LIB_VALGRIND )) || ${CHERRY_LIB_MESONTEST} "--wrapper=${CHERRY_LIB_VALGRINDWRAP}"
diff --git a/.editorconfig b/.editorconfig
new file mode 100644
index 0000000000..b10bb4f3f8
--- /dev/null
+++ b/.editorconfig
@@ -0,0 +1,11 @@
+root = true
+
+[*]
+end_of_line = lf
+insert_final_newline = true
+trim_trailing_whitespace = true
+charset = utf-8
+
+[*.{c,h}]
+indent_style = space
+indent_size = 8
diff --git a/.travis.yml b/.travis.yml
new file mode 100644
index 0000000000..99a7bb9461
--- /dev/null
+++ b/.travis.yml
@@ -0,0 +1,21 @@
+os: linux
+dist: trusty
+language: c
+
+services:
+ - docker
+
+before_install:
+ - curl -O -L "https://raw.githubusercontent.com/cherry-pick/cherry-images/v1/scripts/vmrun"
+ - curl -O -L "https://raw.githubusercontent.com/cherry-pick/cherry-ci/v1/scripts/cherryci"
+ - chmod +x "./vmrun" "./cherryci"
+
+jobs:
+ include:
+ - stage: test
+ script:
+ - ./vmrun -- ../src/cherryci -d ../src/.cherryci -s c-util -m
+ - script:
+ - ./vmrun -T armv7hl -- ../src/cherryci -d ../src/.cherryci -s c-util
+ - script:
+ - ./vmrun -T i686 -- ../src/cherryci -d ../src/.cherryci -s c-util
diff --git a/AUTHORS b/AUTHORS
new file mode 100644
index 0000000000..980d602337
--- /dev/null
+++ b/AUTHORS
@@ -0,0 +1,37 @@
+LICENSE:
+ This project is dual-licensed under both the Apache License, Version
+ 2.0, and the GNU Lesser General Public License, Version 2.1+.
+
+AUTHORS-ASL:
+ Licensed under the Apache License, Version 2.0 (the "License");
+ you may not use this file except in compliance with the License.
+ You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+ Unless required by applicable law or agreed to in writing, software
+ distributed under the License is distributed on an "AS IS" BASIS,
+ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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+
+AUTHORS-LGPL:
+ This program is free software; you can redistribute it and/or modify it
+ under the terms of the GNU Lesser General Public License as published
+ by the Free Software Foundation; either version 2.1 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful, but
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+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
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+ along with this program; If not, see <http://www.gnu.org/licenses/>.
+
+COPYRIGHT: (ordered alphabetically)
+ Copyright (C) 2015-2018 Red Hat, Inc.
+
+AUTHORS: (ordered alphabetically)
+ David Herrmann <dh.herrmann@gmail.com>
+ Tom Gundersen <teg@jklm.no>
diff --git a/AUTHORS-ASL b/AUTHORS-ASL
new file mode 100644
index 0000000000..5d501a7284
--- /dev/null
+++ b/AUTHORS-ASL
@@ -0,0 +1,201 @@
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new file mode 100644
index 0000000000..4362b49151
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+++ b/AUTHORS-LGPL
@@ -0,0 +1,502 @@
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+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ This library 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
+ Lesser General Public License for more details.
+
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+ Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+
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+ library `Frob' (a library for tweaking knobs) written by James Random Hacker.
+
+ <signature of Ty Coon>, 1 April 1990
+ Ty Coon, President of Vice
+
+That's all there is to it!
diff --git a/LICENSE b/LICENSE
new file mode 120000
index 0000000000..da24c5e4a6
--- /dev/null
+++ b/LICENSE
@@ -0,0 +1 @@
+AUTHORS-ASL \ No newline at end of file
diff --git a/NEWS b/NEWS
new file mode 100644
index 0000000000..59c03c7ee8
--- /dev/null
+++ b/NEWS
@@ -0,0 +1,40 @@
+c-rbtree - Intrusive Red-Black Tree Collection
+
+CHANGES WITH 3:
+
+ * Add more helpers. Add both a collection of iteratiors and helpers
+ for initializing a tree and checking if a tree is empty, without
+ explicitly accessing the data structure.
+
+ Contributions from: David Herrmann
+
+ - Berlin, 2017-08-13
+
+CHANGES WITH 2:
+
+ * Relicense as ASL-2.0 to make c-rbtree useful for more projects. All
+ code is now fully available under the ASL-2.0. Nothing is covered by
+ the LGPL, anymore.
+
+ * Switch build-system from Autotools to Meson. This simplifies the code
+ base significantly. The Meson Build System is now used by many other
+ projects, including GStreamer, Weston, and several Gnome packages.
+ See http://mesonbuild.com/ for more information.
+
+ Contributions from: David Herrmann
+
+ - Berlin, 2016-12-14
+
+CHANGES WITH 1:
+
+ * Initial release of c-rbtree.
+
+ * This projects provides an RB-Tree API, that is fully implemented in
+ ISO-C11 and has no external dependencies. Furthermore, tree
+ traversal, memory allocations, and key comparisons are completely
+ controlled by the API user. The implementation only provides the
+ RB-Tree specific rebalancing and coloring.
+
+ Contributions from: David Herrmann, Kay Sievers, Tom Gundersen
+
+ - Berlin, 2016-08-31
diff --git a/README b/README
new file mode 100644
index 0000000000..069e15c65c
--- /dev/null
+++ b/README
@@ -0,0 +1,52 @@
+c-rbtree - Intrusive Red-Black Tree Collection
+
+ABOUT:
+ The c-rbtree project implements an intrusive collection based on
+ red-black trees in ISO-C11. Its API guarantees the user full control
+ over its data-structures, and rather limits itself to just the
+ tree-specific rebalancing and coloring operations.
+
+ For API documentation, see the c-rbtree.h header file, as well as the
+ docbook comments for each function.
+
+DETAILS:
+ https://c-util.github.io/c-rbtree
+
+BUG REPORTS:
+ https://github.com/c-util/c-rbtree/issues
+
+GIT:
+ git@github.com:c-util/c-rbtree.git
+ https://github.com/c-util/c-rbtree.git
+
+GITWEB:
+ https://github.com/c-util/c-rbtree
+
+LICENSE:
+ Apache Software License 2.0
+ Lesser General Public License 2.1+
+ See AUTHORS for details.
+
+REQUIREMENTS:
+ The requirements for c-siphash are:
+
+ libc (e.g., glibc >= 2.16)
+
+ At build-time, the following software is required:
+
+ meson >= 0.41
+ pkg-config >= 0.29
+
+INSTALL:
+ The meson build-system is used for this project. Contact upstream
+ documentation for detailed help. In most situations the following
+ commands are sufficient to build and install from source:
+
+ $ mkdir build
+ $ cd build
+ $ meson setup ..
+ $ ninja
+ $ meson test
+ # ninja install
+
+ No custom configuration options are available.
diff --git a/meson.build b/meson.build
new file mode 100644
index 0000000000..ce57651e4b
--- /dev/null
+++ b/meson.build
@@ -0,0 +1,15 @@
+project(
+ 'c-rbtree',
+ 'c',
+ version: '3',
+ license: 'Apache',
+ default_options: [
+ 'c_std=c11'
+ ],
+)
+project_description = 'Intrusive Red-Black Tree Collection'
+
+add_project_arguments('-D_GNU_SOURCE', language: 'c')
+mod_pkgconfig = import('pkgconfig')
+
+subdir('src')
diff --git a/src/c-rbtree-private.h b/src/c-rbtree-private.h
new file mode 100644
index 0000000000..25b9ba01c0
--- /dev/null
+++ b/src/c-rbtree-private.h
@@ -0,0 +1,40 @@
+#pragma once
+
+/*
+ * Private definitions
+ * This file contains private definitions for the RB-Tree implementation, but
+ * which are used by our test-suite.
+ */
+
+#include <stddef.h>
+#include "c-rbtree.h"
+
+/*
+ * Macros
+ */
+
+#define _public_ __attribute__((__visibility__("default")))
+
+/*
+ * Nodes
+ */
+
+static inline void *c_rbnode_raw(CRBNode *n) {
+ return (void *)(n->__parent_and_flags & ~C_RBNODE_FLAG_MASK);
+}
+
+static inline unsigned long c_rbnode_flags(CRBNode *n) {
+ return n->__parent_and_flags & C_RBNODE_FLAG_MASK;
+}
+
+static inline _Bool c_rbnode_is_red(CRBNode *n) {
+ return c_rbnode_flags(n) & C_RBNODE_RED;
+}
+
+static inline _Bool c_rbnode_is_black(CRBNode *n) {
+ return !(c_rbnode_flags(n) & C_RBNODE_RED);
+}
+
+static inline _Bool c_rbnode_is_root(CRBNode *n) {
+ return c_rbnode_flags(n) & C_RBNODE_ROOT;
+}
diff --git a/src/c-rbtree.c b/src/c-rbtree.c
new file mode 100644
index 0000000000..f58db849b6
--- /dev/null
+++ b/src/c-rbtree.c
@@ -0,0 +1,1118 @@
+/*
+ * RB-Tree Implementation
+ * This implements the insertion/removal of elements in RB-Trees. You're highly
+ * recommended to have an RB-Tree documentation at hand when reading this. Both
+ * insertion and removal can be split into a handful of situations that can
+ * occur. Those situations are enumerated as "Case 1" to "Case n" here, and
+ * follow closely the cases described in most RB-Tree documentations. This file
+ * does not explain why it is enough to handle just those cases, nor does it
+ * provide a proof of correctness. Dig out your algorithm 101 handbook if
+ * you're interested.
+ *
+ * This implementation is *not* straightforward. Usually, a handful of
+ * rotation, reparent, swap and link helpers can be used to implement the
+ * rebalance operations. However, those often perform unnecessary writes.
+ * Therefore, this implementation hard-codes all the operations. You're highly
+ * recommended to look at the two basic helpers before reading the code:
+ * c_rbnode_swap_child()
+ * c_rbnode_set_parent_and_flags()
+ * Those are the only helpers used, hence, you should really know what they do
+ * before digging into the code.
+ *
+ * For a highlevel documentation of the API, see the header file and docbook
+ * comments.
+ */
+
+#include <assert.h>
+#include <stdalign.h>
+#include <stddef.h>
+
+#include "c-rbtree-private.h"
+#include "c-rbtree.h"
+
+/*
+ * We use alignas(8) to enforce 64bit alignment of structure fields. This is
+ * according to ISO-C11, so we rely on the compiler to implement this. However,
+ * at the same time we don't want to exceed native malloc() alignment on target
+ * platforms. Hence, we also verify against max_align_t.
+ */
+static_assert(alignof(CRBNode) <= alignof(max_align_t), "Invalid RBNode alignment");
+static_assert(alignof(CRBNode) >= 8, "Invalid CRBNode alignment");
+static_assert(alignof(CRBTree) <= alignof(max_align_t), "Invalid RBTree alignment");
+static_assert(alignof(CRBTree) >= 8, "Invalid CRBTree alignment");
+
+/**
+ * c_rbnode_leftmost() - return leftmost child
+ * @n: current node, or NULL
+ *
+ * This returns the leftmost child of @n. If @n is NULL, this will return NULL.
+ * In all other cases, this function returns a valid pointer. That is, if @n
+ * does not have any left children, this returns @n.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to leftmost child, or NULL.
+ */
+_public_ CRBNode *c_rbnode_leftmost(CRBNode *n) {
+ if (n)
+ while (n->left)
+ n = n->left;
+ return n;
+}
+
+/**
+ * c_rbnode_rightmost() - return rightmost child
+ * @n: current node, or NULL
+ *
+ * This returns the rightmost child of @n. If @n is NULL, this will return
+ * NULL. In all other cases, this function returns a valid pointer. That is, if
+ * @n does not have any right children, this returns @n.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to rightmost child, or NULL.
+ */
+_public_ CRBNode *c_rbnode_rightmost(CRBNode *n) {
+ if (n)
+ while (n->right)
+ n = n->right;
+ return n;
+}
+
+/**
+ * c_rbnode_leftdeepest() - return left-deepest child
+ * @n: current node, or NULL
+ *
+ * This returns the left-deepest child of @n. If @n is NULL, this will return
+ * NULL. In all other cases, this function returns a valid pointer. That is, if
+ * @n does not have any children, this returns @n.
+ *
+ * The left-deepest child is defined as the deepest child without any left
+ * (grand-...)siblings.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to left-deepest child, or NULL.
+ */
+_public_ CRBNode *c_rbnode_leftdeepest(CRBNode *n) {
+ if (n) {
+ for (;;) {
+ if (n->left)
+ n = n->left;
+ else if (n->right)
+ n = n->right;
+ else
+ break;
+ }
+ }
+ return n;
+}
+
+/**
+ * c_rbnode_rightdeepest() - return right-deepest child
+ * @n: current node, or NULL
+ *
+ * This returns the right-deepest child of @n. If @n is NULL, this will return
+ * NULL. In all other cases, this function returns a valid pointer. That is, if
+ * @n does not have any children, this returns @n.
+ *
+ * The right-deepest child is defined as the deepest child without any right
+ * (grand-...)siblings.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to right-deepest child, or NULL.
+ */
+_public_ CRBNode *c_rbnode_rightdeepest(CRBNode *n) {
+ if (n) {
+ for (;;) {
+ if (n->right)
+ n = n->right;
+ else if (n->left)
+ n = n->left;
+ else
+ break;
+ }
+ }
+ return n;
+}
+
+/**
+ * c_rbnode_next() - return next node
+ * @n: current node, or NULL
+ *
+ * An RB-Tree always defines a linear order of its elements. This function
+ * returns the logically next node to @n. If @n is NULL, the last node or
+ * unlinked, this returns NULL.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to next node, or NULL.
+ */
+_public_ CRBNode *c_rbnode_next(CRBNode *n) {
+ CRBNode *p;
+
+ if (!c_rbnode_is_linked(n))
+ return NULL;
+ if (n->right)
+ return c_rbnode_leftmost(n->right);
+
+ while ((p = c_rbnode_parent(n)) && n == p->right)
+ n = p;
+
+ return p;
+}
+
+/**
+ * c_rbnode_prev() - return previous node
+ * @n: current node, or NULL
+ *
+ * An RB-Tree always defines a linear order of its elements. This function
+ * returns the logically previous node to @n. If @n is NULL, the first node or
+ * unlinked, this returns NULL.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to previous node, or NULL.
+ */
+_public_ CRBNode *c_rbnode_prev(CRBNode *n) {
+ CRBNode *p;
+
+ if (!c_rbnode_is_linked(n))
+ return NULL;
+ if (n->left)
+ return c_rbnode_rightmost(n->left);
+
+ while ((p = c_rbnode_parent(n)) && n == p->left)
+ n = p;
+
+ return p;
+}
+
+/**
+ * c_rbnode_next_postorder() - return next node in post-order
+ * @n: current node, or NULL
+ *
+ * This returns the next node to @n, based on a left-to-right post-order
+ * traversal. If @n is NULL, the root node, or unlinked, this returns NULL.
+ *
+ * This implements a left-to-right post-order traversal: First visit the left
+ * child of a node, then the right, and lastly the node itself. Children are
+ * traversed recursively.
+ *
+ * This function can be used to implement a left-to-right post-order traversal:
+ *
+ * for (n = c_rbtree_first_postorder(t); n; n = c_rbnode_next_postorder(n))
+ * visit(n);
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to next node, or NULL.
+ */
+_public_ CRBNode *c_rbnode_next_postorder(CRBNode *n) {
+ CRBNode *p;
+
+ if (!c_rbnode_is_linked(n))
+ return NULL;
+
+ p = c_rbnode_parent(n);
+ if (p && n == p->left && p->right)
+ return c_rbnode_leftdeepest(p->right);
+
+ return p;
+}
+
+/**
+ * c_rbnode_prev_postorder() - return previous node in post-order
+ * @n: current node, or NULL
+ *
+ * This returns the previous node to @n, based on a left-to-right post-order
+ * traversal. That is, it is the inverse operation to c_rbnode_next_postorder().
+ * If @n is NULL, the left-deepest node, or unlinked, this returns NULL.
+ *
+ * This function returns the logical previous node in a directed post-order
+ * traversal. That is, it effectively does a pre-order traversal (since a
+ * reverse post-order traversal is a pre-order traversal). This function does
+ * NOT do a right-to-left post-order traversal! In other words, the following
+ * invariant is guaranteed, if c_rbnode_next_postorder(n) is non-NULL:
+ *
+ * n == c_rbnode_prev_postorder(c_rbnode_next_postorder(n))
+ *
+ * This function can be used to implement a right-to-left pre-order traversal,
+ * using the fact that a reverse post-order traversal is also a valid pre-order
+ * traversal:
+ *
+ * for (n = c_rbtree_last_postorder(t); n; n = c_rbnode_prev_postorder(n))
+ * visit(n);
+ *
+ * This would effectively perform a right-to-left pre-order traversal: first
+ * visit a parent, then its right child, then its left child. Both children are
+ * traversed recursively.
+ *
+ * Worst case runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to previous node in post-order, or NULL.
+ */
+_public_ CRBNode *c_rbnode_prev_postorder(CRBNode *n) {
+ CRBNode *p;
+
+ if (!c_rbnode_is_linked(n))
+ return NULL;
+ if (n->right)
+ return n->right;
+ if (n->left)
+ return n->left;
+
+ while ((p = c_rbnode_parent(n))) {
+ if (p->left && n != p->left)
+ return p->left;
+ n = p;
+ }
+
+ return NULL;
+}
+
+/**
+ * c_rbtree_first() - return first node
+ * @t: tree to operate on
+ *
+ * An RB-Tree always defines a linear order of its elements. This function
+ * returns the logically first node in @t. If @t is empty, NULL is returned.
+ *
+ * Fixed runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to first node, or NULL.
+ */
+_public_ CRBNode *c_rbtree_first(CRBTree *t) {
+ assert(t);
+ return c_rbnode_leftmost(t->root);
+}
+
+/**
+ * c_rbtree_last() - return last node
+ * @t: tree to operate on
+ *
+ * An RB-Tree always defines a linear order of its elements. This function
+ * returns the logically last node in @t. If @t is empty, NULL is returned.
+ *
+ * Fixed runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to last node, or NULL.
+ */
+_public_ CRBNode *c_rbtree_last(CRBTree *t) {
+ assert(t);
+ return c_rbnode_rightmost(t->root);
+}
+
+/**
+ * c_rbtree_first_postorder() - return first node in post-order
+ * @t: tree to operate on
+ *
+ * This returns the first node of a left-to-right post-order traversal. That
+ * is, it returns the left-deepest leaf. If the tree is empty, this returns
+ * NULL.
+ *
+ * This can also be interpreted as the last node of a right-to-left pre-order
+ * traversal.
+ *
+ * Fixed runtime (n: number of elements in tree): O(log(n))
+ *
+ * Return: Pointer to first node in post-order, or NULL.
+ */
+_public_ CRBNode *c_rbtree_first_postorder(CRBTree *t) {
+ assert(t);
+ return c_rbnode_leftdeepest(t->root);
+}
+
+/**
+ * c_rbtree_last_postorder() - return last node in post-order
+ * @t: tree to operate on
+ *
+ * This returns the last node of a left-to-right post-order traversal. That is,
+ * it always returns the root node, or NULL if the tree is empty.
+ *
+ * This can also be interpreted as the first node of a right-to-left pre-order
+ * traversal.
+ *
+ * Fixed runtime (n: number of elements in tree): O(1)
+ *
+ * Return: Pointer to last node in post-order, or NULL.
+ */
+_public_ CRBNode *c_rbtree_last_postorder(CRBTree *t) {
+ assert(t);
+ return t->root;
+}
+
+static inline void c_rbtree_store(CRBNode **ptr, CRBNode *addr) {
+ /*
+ * We use volatile accesses whenever we STORE @left or @right members
+ * of a node. This guarantees that any parallel, lockless lookup gets
+ * to see those stores in the correct order, which itself guarantees
+ * that there're no temporary loops during tree rotation.
+ * Note that you still need to properly synchronize your accesses via
+ * seqlocks, rcu, whatever. We just guarantee that you get *some*
+ * result on a lockless traversal and never run into endless loops, or
+ * undefined behavior.
+ */
+ *(volatile CRBNode **)ptr = addr;
+}
+
+/*
+ * Set the flags and parent of a node. This should be treated as a simple
+ * assignment of the 'flags' and 'parent' fields of the node. No other magic is
+ * applied. But since both fields share its backing memory, this helper
+ * function is provided.
+ */
+static inline void c_rbnode_set_parent_and_flags(CRBNode *n, CRBNode *p, unsigned long flags) {
+ n->__parent_and_flags = (unsigned long)p | flags;
+}
+
+/*
+ * Nodes in the tree do not separately store a point to the tree root. That is,
+ * there is no way to access the tree-root in O(1) given an arbitrary node.
+ * Fortunately, this is usually not required. The only situation where this is
+ * needed is when rotating the root-node itself.
+ *
+ * In case of the root node, c_rbnode_parent() returns NULL. We use this fact
+ * to re-use the parent-pointer storage of the root node to point to the
+ * CRBTree root. This way, we can rotate the root-node (or add/remove it)
+ * without requiring a separate tree-root pointer.
+ *
+ * However, to keep the tree-modification functions simple, we hide this detail
+ * whenever possible. This means, c_rbnode_parent() will continue to return
+ * NULL, and tree modifications will boldly reset the pointer to NULL on
+ * rotation. Hence, the only way to retain this pointer is to call
+ * c_rbnode_pop_root() on a possible root-node before rotating. This returns
+ * NULL if the node in question is not the root node. Otherwise, it returns the
+ * tree-root, and clears the pointer/flag from the node in question. This way,
+ * you can perform tree operations as usual. Afterwards, use
+ * c_rbnode_push_root() to restore the root-pointer on any possible new root.
+ */
+static inline CRBTree *c_rbnode_pop_root(CRBNode *n) {
+ CRBTree *t = NULL;
+
+ if (c_rbnode_is_root(n)) {
+ t = c_rbnode_raw(n);
+ n->__parent_and_flags = c_rbnode_flags(n) & ~C_RBNODE_ROOT;
+ }
+
+ return t;
+}
+
+/* counter-part to c_rbnode_pop_root() */
+static inline CRBTree *c_rbnode_push_root(CRBNode *n, CRBTree *t) {
+ if (t) {
+ if (n)
+ n->__parent_and_flags = (unsigned long)t
+ | c_rbnode_flags(n)
+ | C_RBNODE_ROOT;
+ c_rbtree_store(&t->root, n);
+ }
+
+ return NULL;
+}
+
+/*
+ * This function partially swaps a child node with another one. That is, this
+ * function changes the parent of @old to point to @new. That is, you use it
+ * when swapping @old with @new, to update the parent's left/right pointer.
+ * This function does *NOT* perform a full swap, nor does it touch any 'parent'
+ * pointer.
+ *
+ * The sole purpose of this function is to shortcut left/right conditionals
+ * like this:
+ *
+ * if (old == old->parent->left)
+ * old->parent->left = new;
+ * else
+ * old->parent->right = new;
+ *
+ * That's it! If @old is the root node, this will do nothing. The caller must
+ * employ c_rbnode_pop_root() and c_rbnode_push_root().
+ */
+static inline void c_rbnode_swap_child(CRBNode *old, CRBNode *new) {
+ CRBNode *p = c_rbnode_parent(old);
+
+ if (p) {
+ if (p->left == old)
+ c_rbtree_store(&p->left, new);
+ else
+ c_rbtree_store(&p->right, new);
+ }
+}
+
+/**
+ * c_rbtree_move() - move tree
+ * @to: destination tree
+ * @from: source tree
+ *
+ * This imports the entire tree from @from into @to. @to must be empty! @from
+ * will be empty afterwards.
+ *
+ * Note that this operates in O(1) time. Only the root-entry is updated to
+ * point to the new tree-root.
+ */
+_public_ void c_rbtree_move(CRBTree *to, CRBTree *from) {
+ CRBTree *t;
+
+ assert(!to->root);
+
+ if (from->root) {
+ t = c_rbnode_pop_root(from->root);
+ assert(t == from);
+
+ to->root = from->root;
+ from->root = NULL;
+
+ c_rbnode_push_root(to->root, to);
+ }
+}
+
+static inline void c_rbtree_paint_terminal(CRBNode *n) {
+ CRBNode *p, *g, *gg, *x;
+ CRBTree *t;
+
+ /*
+ * Case 4:
+ * This path assumes @n is red, @p is red, but the uncle is unset or
+ * black. This implies @g exists and is black.
+ *
+ * This case requires up to 2 rotations to restore the tree invariants.
+ * That is, it runs in O(1) time and fully restores the RB-Tree
+ * invariants, all at the cost of performing at mots 2 rotations.
+ */
+
+ p = c_rbnode_parent(n);
+ g = c_rbnode_parent(p);
+ gg = c_rbnode_parent(g);
+
+ assert(c_rbnode_is_red(p));
+ assert(c_rbnode_is_black(g));
+ assert(p == g->left || !g->left || c_rbnode_is_black(g->left));
+ assert(p == g->right || !g->right || c_rbnode_is_black(g->right));
+
+ if (p == g->left) {
+ if (n == p->right) {
+ /*
+ * We're the right red child of a red parent, which is
+ * a left child. Rotate on parent and consider us to be
+ * the old parent and the old parent to be us, making us
+ * the left child instead of the right child so we can
+ * handle it the same as below. Rotating two red nodes
+ * changes none of the invariants.
+ */
+ x = n->left;
+ c_rbtree_store(&p->right, x);
+ c_rbtree_store(&n->left, p);
+ if (x)
+ c_rbnode_set_parent_and_flags(x, p, c_rbnode_flags(x));
+ c_rbnode_set_parent_and_flags(p, n, c_rbnode_flags(p));
+ p = n;
+ }
+
+ /* 'n' is invalid from here on! */
+
+ /*
+ * We're the red left child of a red parent, black grandparent
+ * and uncle. Rotate parent on grandparent and switch their
+ * colors, making the parent black and the grandparent red. The
+ * root of this subtree was changed from the grandparent to the
+ * parent, but the color remained black, so the number of black
+ * nodes on each path stays the same. However, we got rid of
+ * the double red path as we are still the (red) child of the
+ * parent, which has now turned black. Note that had we been
+ * the right child, rather than the left child, we would now be
+ * the left child of the old grandparent, and we would still
+ * have a double red path. As the new grandparent remains
+ * black, we're done.
+ */
+ x = p->right;
+ t = c_rbnode_pop_root(g);
+ c_rbtree_store(&g->left, x);
+ c_rbtree_store(&p->right, g);
+ c_rbnode_swap_child(g, p);
+ if (x)
+ c_rbnode_set_parent_and_flags(x, g, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(p, gg, c_rbnode_flags(p) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(g, p, c_rbnode_flags(g) | C_RBNODE_RED);
+ c_rbnode_push_root(p, t);
+ } else /* if (p == g->right) */ { /* same as above, but mirrored */
+ if (n == p->left) {
+ x = n->right;
+ c_rbtree_store(&p->left, n->right);
+ c_rbtree_store(&n->right, p);
+ if (x)
+ c_rbnode_set_parent_and_flags(x, p, c_rbnode_flags(x));
+ c_rbnode_set_parent_and_flags(p, n, c_rbnode_flags(p));
+ p = n;
+ }
+
+ x = p->left;
+ t = c_rbnode_pop_root(g);
+ c_rbtree_store(&g->right, x);
+ c_rbtree_store(&p->left, g);
+ c_rbnode_swap_child(g, p);
+ if (x)
+ c_rbnode_set_parent_and_flags(x, g, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(p, gg, c_rbnode_flags(p) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(g, p, c_rbnode_flags(g) | C_RBNODE_RED);
+ c_rbnode_push_root(p, t);
+ }
+}
+
+static inline CRBNode *c_rbtree_paint_path(CRBNode *n) {
+ CRBNode *p, *g, *u;
+
+ for (;;) {
+ p = c_rbnode_parent(n);
+ if (!p) {
+ /*
+ * Case 1:
+ * We reached the root. Mark it black and be done. As
+ * all leaf-paths share the root, the ratio of black
+ * nodes on each path stays the same.
+ */
+ c_rbnode_set_parent_and_flags(n, c_rbnode_raw(n), c_rbnode_flags(n) & ~C_RBNODE_RED);
+ return NULL;
+ } else if (c_rbnode_is_black(p)) {
+ /*
+ * Case 2:
+ * The parent is already black. As our node is red, we
+ * did not change the number of black nodes on any
+ * path, nor do we have multiple consecutive red nodes.
+ * There is nothing to be done.
+ */
+ return NULL;
+ }
+
+ g = c_rbnode_parent(p);
+ u = (p == g->left) ? g->right : g->left;
+ if (!u || !c_rbnode_is_red(u)) {
+ /*
+ * Case 4:
+ * The parent is red, but its uncle is black. By
+ * rotating the parent above the uncle, we distribute
+ * the red nodes and thus restore the tree invariants.
+ * No recursive fixup will be needed afterwards. Hence,
+ * just let the caller know about @n and make them do
+ * the rotations.
+ */
+ return n;
+ }
+
+ /*
+ * Case 3:
+ * Parent and uncle are both red, and grandparent is black.
+ * Repaint parent and uncle black, the grandparent red and
+ * recurse into the grandparent. Note that this is the only
+ * recursive case. That is, this step restores the tree
+ * invariants for the sub-tree below @p (including @n), but
+ * needs to continue the re-coloring two levels up.
+ */
+ c_rbnode_set_parent_and_flags(p, g, c_rbnode_flags(p) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(u, g, c_rbnode_flags(u) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(g, c_rbnode_raw(g), c_rbnode_flags(g) | C_RBNODE_RED);
+ n = g;
+ }
+}
+
+static inline void c_rbtree_paint(CRBNode *n) {
+ /*
+ * When a new node is inserted into an RB-Tree, we always link it as a
+ * tail-node and paint it red. This way, the node will not violate the
+ * rb-tree invariants regarding the number of black nodes on all paths.
+ *
+ * However, a red node must never have another bordering red-node (ie.,
+ * child or parent). Since the node is newly linked, it does not have
+ * any children. Therefore, all we need to do is fix the path upwards
+ * through all parents until we hit a black parent or can otherwise fix
+ * the coloring.
+ *
+ * This function first walks up the path from @n towards the tree root
+ * (done in c_rbtree_paint_path()). This recolors its parent/uncle, if
+ * possible, until it hits a sub-tree that cannot be fixed via
+ * re-coloring. After c_rbtree_paint_path() returns, there are two
+ * possible outcomes:
+ *
+ * 1) @n is NULL, in which case the tree invariants were
+ * restored by mere recoloring. Nothing is to be done.
+ *
+ * 2) @n is non-NULL, but points to a red ancestor of the
+ * original node. In this case we need to restore the tree
+ * invariants via a simple left or right rotation. This will
+ * be done by c_rbtree_paint_terminal().
+ *
+ * As a summary, this function runs O(log(n)) re-coloring operations in
+ * the worst case, followed by O(1) rotations as final restoration. The
+ * amortized cost, however, is O(1), since re-coloring only recurses
+ * upwards if it hits a red uncle (which can only happen if a previous
+ * operation terminated its operation on that layer).
+ * While amortized painting of inserted nodes is O(1), finding the
+ * correct spot to link the node (before painting it) still requires a
+ * search in the binary tree in O(log(n)).
+ */
+ n = c_rbtree_paint_path(n);
+ if (n)
+ c_rbtree_paint_terminal(n);
+}
+
+/**
+ * c_rbnode_link() - link node into tree
+ * @p: parent node to link under
+ * @l: left/right slot of @p to link at
+ * @n: node to add
+ *
+ * This links @n into an tree underneath another node. The caller must provide
+ * the exact spot where to link the node. That is, the caller must traverse the
+ * tree based on their search order. Once they hit a leaf where to insert the
+ * node, call this function to link it and rebalance the tree.
+ *
+ * For this to work, the caller must provide a pointer to the parent node. If
+ * the tree might be empty, you must resort to c_rbtree_add().
+ *
+ * In most cases you are better off using c_rbtree_add(). See there for details
+ * how tree-insertion works.
+ */
+_public_ void c_rbnode_link(CRBNode *p, CRBNode **l, CRBNode *n) {
+ assert(p);
+ assert(l);
+ assert(n);
+ assert(l == &p->left || l == &p->right);
+
+ c_rbnode_set_parent_and_flags(n, p, C_RBNODE_RED);
+ c_rbtree_store(&n->left, NULL);
+ c_rbtree_store(&n->right, NULL);
+ c_rbtree_store(l, n);
+
+ c_rbtree_paint(n);
+}
+
+/**
+ * c_rbtree_add() - add node to tree
+ * @t: tree to operate one
+ * @p: parent node to link under, or NULL
+ * @l: left/right slot of @p (or root) to link at
+ * @n: node to add
+ *
+ * This links @n into the tree given as @t. The caller must provide the exact
+ * spot where to link the node. That is, the caller must traverse the tree
+ * based on their search order. Once they hit a leaf where to insert the node,
+ * call this function to link it and rebalance the tree.
+ *
+ * A typical insertion would look like this (@t is your tree, @n is your node):
+ *
+ * CRBNode **i, *p;
+ *
+ * i = &t->root;
+ * p = NULL;
+ * while (*i) {
+ * p = *i;
+ * if (compare(n, *i) < 0)
+ * i = &(*i)->left;
+ * else
+ * i = &(*i)->right;
+ * }
+ *
+ * c_rbtree_add(t, p, i, n);
+ *
+ * Once the node is linked into the tree, a simple lookup on the same tree can
+ * be coded like this:
+ *
+ * CRBNode *i;
+ *
+ * i = t->root;
+ * while (i) {
+ * int v = compare(n, i);
+ * if (v < 0)
+ * i = (*i)->left;
+ * else if (v > 0)
+ * i = (*i)->right;
+ * else
+ * break;
+ * }
+ *
+ * When you add nodes to a tree, the memory contents of the node do not matter.
+ * That is, there is no need to initialize the node via c_rbnode_init().
+ * However, if you relink nodes multiple times during their lifetime, it is
+ * usually very convenient to use c_rbnode_init() and c_rbnode_unlink() (rather
+ * than c_rbnode_unlink_stale()). In those cases, you should validate that a
+ * node is unlinked before you call c_rbtree_add().
+ */
+_public_ void c_rbtree_add(CRBTree *t, CRBNode *p, CRBNode **l, CRBNode *n) {
+ assert(t);
+ assert(l);
+ assert(n);
+ assert(!p || l == &p->left || l == &p->right);
+ assert(p || l == &t->root);
+
+ c_rbnode_set_parent_and_flags(n, p, C_RBNODE_RED);
+ c_rbtree_store(&n->left, NULL);
+ c_rbtree_store(&n->right, NULL);
+
+ if (p)
+ c_rbtree_store(l, n);
+ else
+ c_rbnode_push_root(n, t);
+
+ c_rbtree_paint(n);
+}
+
+static inline void c_rbnode_rebalance_terminal(CRBNode *p, CRBNode *previous) {
+ CRBNode *s, *x, *y, *g;
+ CRBTree *t;
+
+ if (previous == p->left) {
+ s = p->right;
+ if (c_rbnode_is_red(s)) {
+ /*
+ * Case 2:
+ * We have a red node as sibling. Rotate it onto our
+ * side so we can later on turn it black. This way, we
+ * gain the additional black node in our path.
+ */
+ t = c_rbnode_pop_root(p);
+ g = c_rbnode_parent(p);
+ x = s->left;
+ c_rbtree_store(&p->right, x);
+ c_rbtree_store(&s->left, p);
+ c_rbnode_swap_child(p, s);
+ c_rbnode_set_parent_and_flags(x, p, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(s, g, c_rbnode_flags(s) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(p, s, c_rbnode_flags(p) | C_RBNODE_RED);
+ c_rbnode_push_root(s, t);
+ s = x;
+ }
+
+ x = s->right;
+ if (!x || c_rbnode_is_black(x)) {
+ y = s->left;
+ if (!y || c_rbnode_is_black(y)) {
+ /*
+ * Case 3+4:
+ * Our sibling is black and has only black
+ * children. Flip it red and turn parent black.
+ * This way we gained a black node in our path.
+ * Note that the parent must be red, otherwise
+ * it must have been handled by our caller.
+ */
+ assert(c_rbnode_is_red(p));
+ c_rbnode_set_parent_and_flags(s, p, c_rbnode_flags(s) | C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(p, c_rbnode_parent(p), c_rbnode_flags(p) & ~C_RBNODE_RED);
+ return;
+ }
+
+ /*
+ * Case 5:
+ * Left child of our sibling is red, right one is black.
+ * Rotate on parent so the right child of our sibling is
+ * now red, and we can fall through to case 6.
+ */
+ x = y->right;
+ c_rbtree_store(&s->left, y->right);
+ c_rbtree_store(&y->right, s);
+ c_rbtree_store(&p->right, y);
+ if (x)
+ c_rbnode_set_parent_and_flags(x, s, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ x = s;
+ s = y;
+ }
+
+ /*
+ * Case 6:
+ * The right child of our sibling is red. Rotate left and flip
+ * colors, which gains us an additional black node in our path,
+ * that was previously on our sibling.
+ */
+ t = c_rbnode_pop_root(p);
+ g = c_rbnode_parent(p);
+ y = s->left;
+ c_rbtree_store(&p->right, y);
+ c_rbtree_store(&s->left, p);
+ c_rbnode_swap_child(p, s);
+ c_rbnode_set_parent_and_flags(x, s, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ if (y)
+ c_rbnode_set_parent_and_flags(y, p, c_rbnode_flags(y));
+ c_rbnode_set_parent_and_flags(s, g, c_rbnode_flags(p));
+ c_rbnode_set_parent_and_flags(p, s, c_rbnode_flags(p) & ~C_RBNODE_RED);
+ c_rbnode_push_root(s, t);
+ } else /* if (previous == p->right) */ { /* same as above, but mirrored */
+ s = p->left;
+ if (c_rbnode_is_red(s)) {
+ t = c_rbnode_pop_root(p);
+ g = c_rbnode_parent(p);
+ x = s->right;
+ c_rbtree_store(&p->left, x);
+ c_rbtree_store(&s->right, p);
+ c_rbnode_swap_child(p, s);
+ c_rbnode_set_parent_and_flags(x, p, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(s, g, c_rbnode_flags(s) & ~C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(p, s, c_rbnode_flags(p) | C_RBNODE_RED);
+ c_rbnode_push_root(s, t);
+ s = x;
+ }
+
+ x = s->left;
+ if (!x || c_rbnode_is_black(x)) {
+ y = s->right;
+ if (!y || c_rbnode_is_black(y)) {
+ assert(c_rbnode_is_red(p));
+ c_rbnode_set_parent_and_flags(s, p, c_rbnode_flags(s) | C_RBNODE_RED);
+ c_rbnode_set_parent_and_flags(p, c_rbnode_parent(p), c_rbnode_flags(p) & ~C_RBNODE_RED);
+ return;
+ }
+
+ x = y->left;
+ c_rbtree_store(&s->right, y->left);
+ c_rbtree_store(&y->left, s);
+ c_rbtree_store(&p->left, y);
+ if (x)
+ c_rbnode_set_parent_and_flags(x, s, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ x = s;
+ s = y;
+ }
+
+ t = c_rbnode_pop_root(p);
+ g = c_rbnode_parent(p);
+ y = s->right;
+ c_rbtree_store(&p->left, y);
+ c_rbtree_store(&s->right, p);
+ c_rbnode_swap_child(p, s);
+ c_rbnode_set_parent_and_flags(x, s, c_rbnode_flags(x) & ~C_RBNODE_RED);
+ if (y)
+ c_rbnode_set_parent_and_flags(y, p, c_rbnode_flags(y));
+ c_rbnode_set_parent_and_flags(s, g, c_rbnode_flags(p));
+ c_rbnode_set_parent_and_flags(p, s, c_rbnode_flags(p) & ~C_RBNODE_RED);
+ c_rbnode_push_root(s, t);
+ }
+}
+
+static inline CRBNode *c_rbnode_rebalance_path(CRBNode *p, CRBNode **previous) {
+ CRBNode *s, *nl, *nr;
+
+ while (p) {
+ s = (*previous == p->left) ? p->right : p->left;
+ nl = s->left;
+ nr = s->right;
+
+ /*
+ * If the sibling under @p is black and exclusively has black
+ * children itself (i.e., nephews/nieces in @nl/@nr), then we
+ * can easily re-color to fix this sub-tree, and continue one
+ * layer up. However, if that's not the case, we have tree
+ * rotations at our hands to move one of the black nodes into
+ * our path, then turning the red node black to fully restore
+ * the RB-Tree invariants again. This fixup will be done by the
+ * caller, so we just let them know where to do that.
+ */
+ if (c_rbnode_is_red(s) ||
+ (nl && c_rbnode_is_red(nl)) ||
+ (nr && c_rbnode_is_red(nr)))
+ return p;
+
+ /*
+ * Case 3+4:
+ * Sibling is black, and all nephews/nieces are black. Flip
+ * sibling red. This way the sibling lost a black node in its
+ * path, thus getting even with our path. However, paths not
+ * going through @p haven't been fixed up, hence we proceed
+ * recursively one layer up.
+ * Before we continue one layer up, there are two possible
+ * terminations: If the parent is red, we can turn it black.
+ * This terminates the rebalancing, since the entire point of
+ * rebalancing is that everything below @p has one black node
+ * less than everything else. Lastly, if there is no layer
+ * above, we hit the tree root and nothing is left to be done.
+ */
+ c_rbnode_set_parent_and_flags(s, p, c_rbnode_flags(s) | C_RBNODE_RED);
+ if (c_rbnode_is_red(p)) {
+ c_rbnode_set_parent_and_flags(p, c_rbnode_parent(p), c_rbnode_flags(p) & ~C_RBNODE_RED);
+ return NULL;
+ }
+
+ *previous = p;
+ p = c_rbnode_parent(p);
+ }
+
+ return NULL;
+}
+
+static inline void c_rbnode_rebalance(CRBNode *n) {
+ CRBNode *previous = NULL;
+
+ /*
+ * Rebalance a tree after a node was removed. This function must be
+ * called on the parent of the leaf that was removed. It will first
+ * perform a recursive re-coloring on the parents of @n, until it
+ * either hits the tree-root, or a condition where a tree-rotation is
+ * needed to restore the RB-Tree invariants.
+ */
+
+ n = c_rbnode_rebalance_path(n, &previous);
+ if (n)
+ c_rbnode_rebalance_terminal(n, previous);
+}
+
+/**
+ * c_rbnode_unlink_stale() - remove node from tree
+ * @n: node to remove
+ *
+ * This removes the given node from its tree. Once unlinked, the tree is
+ * rebalanced.
+ *
+ * This does *NOT* reset @n to being unlinked. If you need this, use
+ * c_rbtree_unlink().
+ */
+_public_ void c_rbnode_unlink_stale(CRBNode *n) {
+ CRBTree *t;
+
+ assert(n);
+ assert(c_rbnode_is_linked(n));
+
+ /*
+ * There are three distinct cases during node removal of a tree:
+ * * The node has no children, in which case it can simply be removed.
+ * * The node has exactly one child, in which case the child displaces
+ * its parent.
+ * * The node has two children, in which case there is guaranteed to
+ * be a successor to the node (successor being the node ordered
+ * directly after it). This successor is the leftmost descendant of
+ * the node's right child, so it cannot have a left child of its own.
+ * Therefore, we can simply swap the node with its successor (including
+ * color) and remove the node from its new place, which will be one of
+ * the first two cases.
+ *
+ * Whenever the node we removed was black, we have to rebalance the
+ * tree. Note that this affects the actual node we _remove_, not @n (in
+ * case we swap it).
+ */
+
+ if (!n->left && !n->right) {
+ /*
+ * Case 1.0
+ * The node has no children, it is a leaf-node and we
+ * can simply unlink it. If it was also black, we have
+ * to rebalance.
+ */
+ t = c_rbnode_pop_root(n);
+ c_rbnode_swap_child(n, NULL);
+ c_rbnode_push_root(NULL, t);
+
+ if (c_rbnode_is_black(n))
+ c_rbnode_rebalance(c_rbnode_parent(n));
+ } else if (!n->left && n->right) {
+ /*
+ * Case 1.1:
+ * The node has exactly one child, and it is on the
+ * right. The child *must* be red (otherwise, the right
+ * path has more black nodes than the non-existing left
+ * path), and the node to be removed must hence be
+ * black. We simply replace the node with its child,
+ * turning the red child black, and thus no rebalancing
+ * is required.
+ */
+ t = c_rbnode_pop_root(n);
+ c_rbnode_swap_child(n, n->right);
+ c_rbnode_set_parent_and_flags(n->right, c_rbnode_parent(n), c_rbnode_flags(n->right) & ~C_RBNODE_RED);
+ c_rbnode_push_root(n->right, t);
+ } else if (n->left && !n->right) {
+ /*
+ * Case 1.2:
+ * The node has exactly one child, and it is on the left. Treat
+ * it as mirrored case of Case 1.1 (i.e., replace the node by
+ * its child).
+ */
+ t = c_rbnode_pop_root(n);
+ c_rbnode_swap_child(n, n->left);
+ c_rbnode_set_parent_and_flags(n->left, c_rbnode_parent(n), c_rbnode_flags(n->left) & ~C_RBNODE_RED);
+ c_rbnode_push_root(n->left, t);
+ } else /* if (n->left && n->right) */ {
+ CRBNode *s, *p, *c, *next = NULL;
+
+ /* Cache possible tree-root during tree-rotations. */
+ t = c_rbnode_pop_root(n);
+
+ /*
+ * Case 1.3:
+ * We are dealing with a full interior node with a child on
+ * both sides. We want to find its successor and swap it,
+ * then remove the node similar to Case 1. For performance
+ * reasons we don't perform the full swap, but skip links
+ * that are about to be removed, anyway.
+ *
+ * First locate the successor, remember its child and the
+ * parent the original node should have been linked on,
+ * before being removed. Then link up both the successor's
+ * new children and old child.
+ *
+ * s: successor
+ * p: parent
+ * c: right (and only potential) child of successor
+ * next: next node to rebalance on
+ */
+ s = n->right;
+ if (!s->left) {
+ /*
+ * The immediate right child is the successor,
+ * the successor's right child remains linked
+ * as before.
+ */
+ p = s;
+ c = s->right;
+ } else {
+ s = c_rbnode_leftmost(s);
+ p = c_rbnode_parent(s);
+ c = s->right;
+
+ /*
+ * The new parent pointer of the successor's
+ * child is set below.
+ */
+ c_rbtree_store(&p->left, c);
+
+ c_rbtree_store(&s->right, n->right);
+ c_rbnode_set_parent_and_flags(n->right, s, c_rbnode_flags(n->right));
+ }
+
+ /*
+ * In both the above cases, the successor's left child
+ * needs to be replaced with the left child of the node
+ * that is being removed.
+ */
+ c_rbtree_store(&s->left, n->left);
+ c_rbnode_set_parent_and_flags(n->left, s, c_rbnode_flags(n->left));
+
+ /*
+ * As in cases 1.1 and 1.0 above, if successor was a
+ * black leaf, we need to rebalance the tree, otherwise
+ * it must have a red child, so simply recolor that black
+ * and continue. Note that @next must be stored here, as
+ * the original color of the successor is forgotten below.
+ */
+ if (c)
+ c_rbnode_set_parent_and_flags(c, p, c_rbnode_flags(c) & ~C_RBNODE_RED);
+ else
+ next = c_rbnode_is_black(s) ? p : NULL;
+
+ /*
+ * Update the successor, to inherit the parent and color
+ * from the node being removed.
+ */
+ if (c_rbnode_is_red(n))
+ c_rbnode_set_parent_and_flags(s, c_rbnode_parent(n), c_rbnode_flags(s) | C_RBNODE_RED);
+ else
+ c_rbnode_set_parent_and_flags(s, c_rbnode_parent(n), c_rbnode_flags(s) & ~C_RBNODE_RED);
+
+ /*
+ * Update the parent of the node being removed. Note that this
+ * needs to happen after the parent of the successor is set
+ * above, as that call would clear the root pointer, if set.
+ */
+ c_rbnode_swap_child(n, s);
+
+ /* Possibly restore saved tree-root. */
+ c_rbnode_push_root(s, t);
+
+ if (next)
+ c_rbnode_rebalance(next);
+ }
+}
diff --git a/src/c-rbtree.h b/src/c-rbtree.h
new file mode 100644
index 0000000000..cb33fcf7a8
--- /dev/null
+++ b/src/c-rbtree.h
@@ -0,0 +1,430 @@
+#pragma once
+
+/**
+ * Standalone Red-Black-Tree Implementation in Standard ISO-C11
+ *
+ * This library provides an RB-Tree API, that is fully implemented in ISO-C11
+ * and has no external dependencies. Furthermore, tree traversal, memory
+ * allocations, and key comparisons are completely controlled by the API user.
+ * The implementation only provides the RB-Tree specific rebalancing and
+ * coloring.
+ *
+ * A tree is represented by the "CRBTree" structure. It contains a *single*
+ * field, which is a pointer to the root node. If NULL, the tree is empty. If
+ * non-NULL, there is at least a single element in the tree.
+ *
+ * Each node of the tree is represented by the "CRBNode" structure. It has
+ * three fields. The @left and @right members can be accessed by the API user
+ * directly to traverse the tree. The third member is a combination of the
+ * parent pointer and a set of flags.
+ * API users are required to embed the CRBNode object into their own objects
+ * and then use offsetof() (i.e., container_of() and friends) to turn CRBNode
+ * pointers into pointers to their own structure.
+ */
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include <assert.h>
+#include <stdalign.h>
+#include <stddef.h>
+
+typedef struct CRBNode CRBNode;
+typedef struct CRBTree CRBTree;
+
+/* implementation detail */
+#define C_RBNODE_RED (0x1UL)
+#define C_RBNODE_ROOT (0x2UL)
+#define C_RBNODE_UNUSED3 (0x4UL)
+#define C_RBNODE_FLAG_MASK (0x7UL)
+
+/**
+ * struct CRBNode - Node of a Red-Black Tree
+ * @__parent_and_flags: internal state
+ * @left: left child, or NULL
+ * @right: right child, or NULL
+ *
+ * Each node in an RB-Tree must embed a CRBNode object. This object contains
+ * pointers to its left and right child, which can be freely accessed by the
+ * API user at any time. They are NULL, if the node does not have a left/right
+ * child.
+ *
+ * The @__parent_and_flags field must never be accessed directly. It encodes
+ * the pointer to the parent node, and the color of the node. Use the accessor
+ * functions instead.
+ *
+ * There is no reason to initialize a CRBNode object before linking it.
+ * However, if you need a boolean state that tells you whether the node is
+ * linked or not, you should initialize the node via c_rbnode_init() or
+ * C_RBNODE_INIT.
+ */
+struct CRBNode {
+ alignas(8) unsigned long __parent_and_flags;
+ CRBNode *left;
+ CRBNode *right;
+};
+
+#define C_RBNODE_INIT(_var) { .__parent_and_flags = (unsigned long)&(_var) }
+
+CRBNode *c_rbnode_leftmost(CRBNode *n);
+CRBNode *c_rbnode_rightmost(CRBNode *n);
+CRBNode *c_rbnode_leftdeepest(CRBNode *n);
+CRBNode *c_rbnode_rightdeepest(CRBNode *n);
+CRBNode *c_rbnode_next(CRBNode *n);
+CRBNode *c_rbnode_prev(CRBNode *n);
+CRBNode *c_rbnode_next_postorder(CRBNode *n);
+CRBNode *c_rbnode_prev_postorder(CRBNode *n);
+
+void c_rbnode_link(CRBNode *p, CRBNode **l, CRBNode *n);
+void c_rbnode_unlink_stale(CRBNode *n);
+
+/**
+ * struct CRBTree - Red-Black Tree
+ * @root: pointer to the root node, or NULL
+ *
+ * Each Red-Black Tree is rooted in an CRBTree object. This object contains a
+ * pointer to the root node of the tree. The API user is free to access the
+ * @root member at any time, and use it to traverse the tree.
+ *
+ * To initialize an RB-Tree, set it to NULL / all zero.
+ */
+struct CRBTree {
+ alignas(8) CRBNode *root;
+};
+
+#define C_RBTREE_INIT {}
+
+CRBNode *c_rbtree_first(CRBTree *t);
+CRBNode *c_rbtree_last(CRBTree *t);
+CRBNode *c_rbtree_first_postorder(CRBTree *t);
+CRBNode *c_rbtree_last_postorder(CRBTree *t);
+
+void c_rbtree_move(CRBTree *to, CRBTree *from);
+void c_rbtree_add(CRBTree *t, CRBNode *p, CRBNode **l, CRBNode *n);
+
+/**
+ * c_rbnode_init() - mark a node as unlinked
+ * @n: node to operate on
+ *
+ * This marks the node @n as unlinked. The node will be set to a valid state
+ * that can never happen if the node is linked in a tree. Furthermore, this
+ * state is fully known to the implementation, and as such handled gracefully
+ * in all cases.
+ *
+ * You are *NOT* required to call this on your node. c_rbtree_add() can handle
+ * uninitialized nodes just fine. However, calling this allows to use
+ * c_rbnode_is_linked() to check for the state of a node. Furthermore,
+ * iterators and accessors can be called on initialized (yet unlinked) nodes.
+ *
+ * Use the C_RBNODE_INIT macro if you want to initialize static variables.
+ */
+static inline void c_rbnode_init(CRBNode *n) {
+ *n = (CRBNode)C_RBNODE_INIT(*n);
+}
+
+/**
+ * c_rbnode_entry() - get parent container of tree node
+ * @_what: tree node, or NULL
+ * @_t: type of parent container
+ * @_m: member name of tree node in @_t
+ *
+ * If the tree node @_what is embedded into a surrounding structure, this will
+ * turn the tree node pointer @_what into a pointer to the parent container
+ * (using offsetof(3), or sometimes called container_of(3)).
+ *
+ * If @_what is NULL, this will also return NULL.
+ *
+ * Return: Pointer to parent container, or NULL.
+ */
+#define c_rbnode_entry(_what, _t, _m) \
+ ((_t *)(void *)(((unsigned long)(void *)(_what) ?: \
+ offsetof(_t, _m)) - offsetof(_t, _m)))
+
+/**
+ * c_rbnode_parent() - return parent pointer
+ * @n node to access
+ *
+ * This returns a pointer to the parent of the given node @n. If @n does not
+ * have a parent, NULL is returned. If @n is not linked, @n itself is returned.
+ *
+ * You should not call this on unlinked or uninitialized nodes! If you do, you
+ * better know its semantics.
+ *
+ * Return: Pointer to parent.
+ */
+static inline CRBNode *c_rbnode_parent(CRBNode *n) {
+ return (n->__parent_and_flags & C_RBNODE_ROOT) ?
+ NULL :
+ (void *)(n->__parent_and_flags & ~C_RBNODE_FLAG_MASK);
+}
+
+/**
+ * c_rbnode_is_linked() - check whether a node is linked
+ * @n: node to check, or NULL
+ *
+ * This checks whether the passed node is linked. If you pass NULL, or if the
+ * node is not linked into a tree, this will return false. Otherwise, this
+ * returns true.
+ *
+ * Note that you must have either linked the node or initialized it, before
+ * calling this function. Never call this function on uninitialized nodes.
+ * Furthermore, removing a node via c_rbnode_unlink_stale() does *NOT* mark the
+ * node as unlinked. You have to call c_rbnode_init() yourself after removal, or
+ * use the c_rbnode_unlink() helper.
+ *
+ * Return: true if the node is linked, false if not.
+ */
+static inline _Bool c_rbnode_is_linked(CRBNode *n) {
+ return n && c_rbnode_parent(n) != n;
+}
+
+/**
+ * c_rbnode_unlink() - safely remove node from tree and reinitialize it
+ * @n: node to remove, or NULL
+ *
+ * This is almost the same as c_rbnode_unlink_stale(), but extends it slightly, to be
+ * more convenient to use in many cases:
+ * - if @n is unlinked or NULL, this is a no-op
+ * - @n is reinitialized after being removed
+ */
+static inline void c_rbnode_unlink(CRBNode *n) {
+ if (c_rbnode_is_linked(n)) {
+ c_rbnode_unlink_stale(n);
+ c_rbnode_init(n);
+ }
+}
+
+/**
+ * c_rbtree_init() - initialize a new RB-Tree
+ * @t: tree to operate on
+ *
+ * This initializes a new, empty RB-Tree. An RB-Tree must be initialized before
+ * any other functions are called on it. Alternatively, you can zero its memory
+ * or assign C_RBTREE_INIT.
+ */
+static inline void c_rbtree_init(CRBTree *t) {
+ *t = (CRBTree)C_RBTREE_INIT;
+}
+
+/**
+ * c_rbtree_is_empty() - check whether an RB-tree is empty
+ * @t: tree to operate on
+ *
+ * This checks whether the passed RB-Tree is empty.
+ *
+ * Return: True if tree is empty, false otherwise.
+ */
+static inline _Bool c_rbtree_is_empty(CRBTree *t) {
+ return !t->root;
+}
+
+/**
+ * CRBCompareFunc - compare a node to a key
+ * @t: tree where the node is linked to
+ * @k: key to compare
+ * @n: node to compare
+ *
+ * If you use the tree-traversal helpers (which are optional), you need to
+ * provide this callback so they can compare nodes in a tree to the key you
+ * look for.
+ *
+ * The tree @t is provided as optional context to this callback. The key you
+ * look for is provided as @k, the current node that should be compared to is
+ * provided as @n. This function should work like strcmp(), that is, return <0
+ * if @key orders before @n, 0 if both compare equal, and >0 if it orders after
+ * @n.
+ */
+typedef int (*CRBCompareFunc) (CRBTree *t, void *k, CRBNode *n);
+
+/**
+ * c_rbtree_find_node() - find node
+ * @t: tree to search through
+ * @f: comparison function
+ * @k: key to search for
+ *
+ * This searches through @t for a node that compares equal to @k. The function
+ * @f must be provided by the caller, which is used to compare nodes to @k. See
+ * the documentation of CRBCompareFunc for details.
+ *
+ * If there are multiple entries that compare equal to @k, this will return a
+ * pseudo-randomly picked node. If you need stable lookup functions for trees
+ * where duplicate entries are allowed, you better code your own lookup.
+ *
+ * Return: Pointer to matching node, or NULL.
+ */
+static inline CRBNode *c_rbtree_find_node(CRBTree *t, CRBCompareFunc f, const void *k) {
+ CRBNode *i;
+
+ assert(t);
+ assert(f);
+
+ i = t->root;
+ while (i) {
+ int v = f(t, (void *)k, i);
+ if (v < 0)
+ i = i->left;
+ else if (v > 0)
+ i = i->right;
+ else
+ return i;
+ }
+
+ return NULL;
+}
+
+/**
+ * c_rbtree_find_entry() - find entry
+ * @_t: tree to search through
+ * @_f: comparison function
+ * @_k: key to search for
+ * @_s: type of the structure that embeds the nodes
+ * @_m: name of the node-member in type @_t
+ *
+ * This is very similar to c_rbtree_find_node(), but instead of returning a
+ * pointer to the CRBNode, it returns a pointer to the surrounding object. This
+ * object must embed the CRBNode object. The type of the surrounding object
+ * must be given as @_s, and the name of the embedded CRBNode member as @_m.
+ *
+ * See c_rbtree_find_node() and c_rbnode_entry() for more details.
+ *
+ * Return: Pointer to found entry, NULL if not found.
+ */
+#define c_rbtree_find_entry(_t, _f, _k, _s, _m) \
+ c_rbnode_entry(c_rbtree_find_node((_t), (_f), (_k)), _s, _m)
+
+/**
+ * c_rbtree_find_slot() - find slot to insert new node
+ * @t: tree to search through
+ * @f: comparison function
+ * @k: key to search for
+ * @p: output storage for parent pointer
+ *
+ * This searches through @t just like c_rbtree_find_node() does. However,
+ * instead of returning a pointer to a node that compares equal to @k, this
+ * searches for a slot to insert a node with key @k. A pointer to the slot is
+ * returned, and a pointer to the parent of the slot is stored in @p. Both
+ * can be passed directly to c_rbtree_add(), together with your node to insert.
+ *
+ * If there already is a node in the tree, that compares equal to @k, this will
+ * return NULL and store the conflicting node in @p. In all other cases,
+ * this will return a pointer (non-NULL) to the empty slot to insert the node
+ * at. @p will point to the parent node of that slot.
+ *
+ * If you want trees that allow duplicate nodes, you better code your own
+ * insertion function.
+ *
+ * Return: Pointer to slot to insert node, or NULL on conflicts.
+ */
+static inline CRBNode **c_rbtree_find_slot(CRBTree *t, CRBCompareFunc f, const void *k, CRBNode **p) {
+ CRBNode **i;
+
+ assert(t);
+ assert(f);
+ assert(p);
+
+ i = &t->root;
+ *p = NULL;
+ while (*i) {
+ int v = f(t, (void *)k, *i);
+ *p = *i;
+ if (v < 0)
+ i = &(*i)->left;
+ else if (v > 0)
+ i = &(*i)->right;
+ else
+ return NULL;
+ }
+
+ return i;
+}
+
+/**
+ * c_rbtree_for_each*() - iterators
+ *
+ * The c_rbtree_for_each*() macros provide simple for-loop wrappers to iterate
+ * an RB-Tree. They come in a set of flavours:
+ *
+ * - "entry": This combines c_rbnode_entry() with the loop iterator, so the
+ * iterator always has the type of the surrounding object, rather
+ * than CRBNode.
+ *
+ * - "safe": The loop iterator always keeps track of the next element to
+ * visit. This means, you can safely modify the current element,
+ * while retaining loop-integrity.
+ * You still must not touch any other entry of the tree. Otherwise,
+ * the loop-iterator will be corrupted. Also remember to only
+ * modify the tree in a way compatible with your iterator-order.
+ * That is, if you use in-order iteration (default), you can unlink
+ * your current object, including re-balancing the tree. However,
+ * if you use post-order, you must not trigger a tree rebalance
+ * operation, since it is not an invariant of post-order iteration.
+ *
+ * - "postorder": Rather than the default in-order iteration, this iterates
+ * the tree in post-order.
+ *
+ * - "unlink": This unlinks the current element from the tree before the loop
+ * code is run. Note that the tree is not rebalanced. That is,
+ * you must never break out of the loop. If you do so, the tree
+ * is corrupted.
+ */
+
+#define c_rbtree_for_each(_iter, _tree) \
+ for (_iter = c_rbtree_first(_tree); \
+ _iter; \
+ _iter = c_rbnode_next(_iter))
+
+#define c_rbtree_for_each_entry(_iter, _tree, _m) \
+ for (_iter = c_rbnode_entry(c_rbtree_first(_tree), __typeof__(*_iter), _m); \
+ _iter; \
+ _iter = c_rbnode_entry(c_rbnode_next(&_iter->_m), __typeof__(*_iter), _m))
+
+#define c_rbtree_for_each_safe(_iter, _safe, _tree) \
+ for (_iter = c_rbtree_first(_tree), _safe = c_rbnode_next(_iter); \
+ _iter; \
+ _iter = _safe, _safe = c_rbnode_next(_safe))
+
+#define c_rbtree_for_each_entry_safe(_iter, _safe, _tree, _m) \
+ for (_iter = c_rbnode_entry(c_rbtree_first(_tree), __typeof__(*_iter), _m), \
+ _safe = _iter ? c_rbnode_entry(c_rbnode_next(&_iter->_m), __typeof__(*_iter), _m) : NULL; \
+ _iter; \
+ _iter = _safe, \
+ _safe = _safe ? c_rbnode_entry(c_rbnode_next(&_safe->_m), __typeof__(*_iter), _m) : NULL)
+
+#define c_rbtree_for_each_postorder(_iter, _tree) \
+ for (_iter = c_rbtree_first_postorder(_tree); \
+ _iter; \
+ _iter = c_rbnode_next_postorder(_iter)) \
+
+#define c_rbtree_for_each_entry_postorder(_iter, _tree, _m) \
+ for (_iter = c_rbnode_entry(c_rbtree_first_postorder(_tree), __typeof__(*_iter), _m); \
+ _iter; \
+ _iter = c_rbnode_entry(c_rbnode_next_postorder(&_iter->_m), __typeof__(*_iter), _m))
+
+#define c_rbtree_for_each_safe_postorder(_iter, _safe, _tree) \
+ for (_iter = c_rbtree_first_postorder(_tree), _safe = c_rbnode_next_postorder(_iter); \
+ _iter; \
+ _iter = _safe, _safe = c_rbnode_next_postorder(_safe))
+
+#define c_rbtree_for_each_entry_safe_postorder(_iter, _safe, _tree, _m) \
+ for (_iter = c_rbnode_entry(c_rbtree_first_postorder(_tree), __typeof__(*_iter), _m), \
+ _safe = _iter ? c_rbnode_entry(c_rbnode_next_postorder(&_iter->_m), __typeof__(*_iter), _m) : NULL; \
+ _iter; \
+ _iter = _safe, \
+ _safe = _safe ? c_rbnode_entry(c_rbnode_next_postorder(&_safe->_m), __typeof__(*_iter), _m) : NULL)
+
+#define c_rbtree_for_each_safe_postorder_unlink(_iter, _safe, _tree) \
+ for (_iter = c_rbtree_first_postorder(_tree), _safe = c_rbnode_next_postorder(_iter); \
+ _iter ? ((*_iter = (CRBNode)C_RBNODE_INIT(*_iter)), 1) : (((_tree)->root = NULL), 0); \
+ _iter = _safe, _safe = c_rbnode_next_postorder(_safe)) \
+
+#define c_rbtree_for_each_entry_safe_postorder_unlink(_iter, _safe, _tree, _m) \
+ for (_iter = c_rbnode_entry(c_rbtree_first_postorder(_tree), __typeof__(*_iter), _m), \
+ _safe = _iter ? c_rbnode_entry(c_rbnode_next_postorder(&_iter->_m), __typeof__(*_iter), _m) : NULL; \
+ _iter ? ((_iter->_m = (CRBNode)C_RBNODE_INIT(_iter->_m)), 1) : (((_tree)->root = NULL), 0); \
+ _iter = _safe, \
+ _safe = _safe ? c_rbnode_entry(c_rbnode_next_postorder(&_safe->_m), __typeof__(*_iter), _m) : NULL)
+
+#ifdef __cplusplus
+}
+#endif
diff --git a/src/libcrbtree.sym b/src/libcrbtree.sym
new file mode 100644
index 0000000000..e7b801b81a
--- /dev/null
+++ b/src/libcrbtree.sym
@@ -0,0 +1,21 @@
+LIBCRBTREE_3 {
+global:
+ c_rbnode_leftmost;
+ c_rbnode_rightmost;
+ c_rbnode_leftdeepest;
+ c_rbnode_rightdeepest;
+ c_rbnode_next;
+ c_rbnode_prev;
+ c_rbnode_next_postorder;
+ c_rbnode_prev_postorder;
+ c_rbnode_link;
+ c_rbnode_unlink_stale;
+ c_rbtree_first;
+ c_rbtree_last;
+ c_rbtree_first_postorder;
+ c_rbtree_last_postorder;
+ c_rbtree_add;
+ c_rbtree_move;
+local:
+ *;
+};
diff --git a/src/meson.build b/src/meson.build
new file mode 100644
index 0000000000..47ccf63aaa
--- /dev/null
+++ b/src/meson.build
@@ -0,0 +1,69 @@
+#
+# target: libcrbtree.so
+#
+
+libcrbtree_symfile = join_paths(meson.current_source_dir(), 'libcrbtree.sym')
+
+libcrbtree_private = static_library(
+ 'crbtree-private',
+ [
+ 'c-rbtree.c',
+ ],
+ c_args: [
+ '-fvisibility=hidden',
+ '-fno-common',
+ ],
+ pic: true,
+)
+
+libcrbtree_shared = shared_library(
+ 'crbtree',
+ objects: libcrbtree_private.extract_all_objects(),
+ install: not meson.is_subproject(),
+ soversion: 0,
+ link_depends: libcrbtree_symfile,
+ link_args: [
+ '-Wl,--no-undefined',
+ '-Wl,--version-script=@0@'.format(libcrbtree_symfile),
+ ],
+)
+
+libcrbtree_dep = declare_dependency(
+ include_directories: include_directories('.'),
+ link_with: libcrbtree_private,
+ version: meson.project_version(),
+)
+
+if not meson.is_subproject()
+ install_headers('c-rbtree.h')
+
+ mod_pkgconfig.generate(
+ libraries: libcrbtree_shared,
+ version: meson.project_version(),
+ name: 'libcrbtree',
+ filebase: 'libcrbtree',
+ description: project_description,
+ )
+endif
+
+#
+# target: test-*
+#
+
+test_api = executable('test-api', ['test-api.c'], link_with: libcrbtree_shared)
+test('API Symbol Visibility', test_api)
+
+test_basic = executable('test-basic', ['test-basic.c'], dependencies: libcrbtree_dep)
+test('Basic API Behavior', test_basic)
+
+test_map = executable('test-map', ['test-map.c'], dependencies: libcrbtree_dep)
+test('Generic Map', test_map)
+
+test_misc = executable('test-misc', ['test-misc.c'], dependencies: libcrbtree_dep)
+test('Miscellaneous', test_misc)
+
+test_parallel = executable('test-parallel', ['test-parallel.c'], dependencies: libcrbtree_dep)
+test('Lockless Parallel Readers', test_parallel)
+
+test_posix = executable('test-posix', ['test-posix.c'], dependencies: libcrbtree_dep)
+test('Posix tsearch(3p) Comparison', test_posix)
diff --git a/src/test-api.c b/src/test-api.c
new file mode 100644
index 0000000000..55c37af6c4
--- /dev/null
+++ b/src/test-api.c
@@ -0,0 +1,108 @@
+/*
+ * Tests for Public API
+ * This test, unlikely the others, is linked against the real, distributed,
+ * shared library. Its sole purpose is to test for symbol availability.
+ */
+
+#undef NDEBUG
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "c-rbtree.h"
+
+typedef struct TestNode {
+ CRBNode rb;
+} TestNode;
+
+static void test_api(void) {
+ CRBTree t = C_RBTREE_INIT, t2 = C_RBTREE_INIT;
+ CRBNode *i, *is, n = C_RBNODE_INIT(n), m = C_RBNODE_INIT(m);
+ TestNode *ie, *ies;
+
+ assert(c_rbtree_is_empty(&t));
+ assert(!c_rbnode_is_linked(&n));
+ assert(!c_rbnode_entry(NULL, TestNode, rb));
+
+ /* init, is_linked, add, link, {unlink{,_stale}} */
+
+ c_rbtree_add(&t, NULL, &t.root, &n);
+ assert(c_rbnode_is_linked(&n));
+
+ c_rbnode_link(&n, &n.left, &m);
+ assert(c_rbnode_is_linked(&m));
+
+ c_rbnode_unlink(&m);
+ assert(!c_rbnode_is_linked(&m));
+
+ c_rbtree_add(&t, NULL, &t.root, &n);
+ assert(c_rbnode_is_linked(&n));
+
+ c_rbnode_link(&n, &n.left, &m);
+ assert(c_rbnode_is_linked(&m));
+
+ c_rbnode_unlink_stale(&m);
+ assert(c_rbnode_is_linked(&m)); /* @m wasn't touched */
+
+ c_rbnode_init(&n);
+ assert(!c_rbnode_is_linked(&n));
+
+ c_rbnode_init(&m);
+ assert(!c_rbnode_is_linked(&m));
+
+ c_rbtree_init(&t);
+ assert(c_rbtree_is_empty(&t));
+
+ /* move */
+
+ c_rbtree_move(&t2, &t);
+
+ /* first, last, leftmost, rightmost, next, prev */
+
+ assert(!c_rbtree_first(&t));
+ assert(!c_rbtree_last(&t));
+ assert(&n == c_rbnode_leftmost(&n));
+ assert(&n == c_rbnode_rightmost(&n));
+ assert(!c_rbnode_next(&n));
+ assert(!c_rbnode_prev(&n));
+
+ /* postorder traversal */
+
+ assert(!c_rbtree_first_postorder(&t));
+ assert(!c_rbtree_last_postorder(&t));
+ assert(&n == c_rbnode_leftdeepest(&n));
+ assert(&n == c_rbnode_rightdeepest(&n));
+ assert(!c_rbnode_next_postorder(&n));
+ assert(!c_rbnode_prev_postorder(&n));
+
+ /* iterators */
+
+ c_rbtree_for_each(i, &t)
+ assert(!i);
+ c_rbtree_for_each_safe(i, is, &t)
+ assert(!i);
+ c_rbtree_for_each_entry(ie, &t, rb)
+ assert(!ie);
+ c_rbtree_for_each_entry_safe(ie, ies, &t, rb)
+ assert(!ie);
+
+ c_rbtree_for_each_postorder(i, &t)
+ assert(!i);
+ c_rbtree_for_each_safe_postorder(i, is, &t)
+ assert(!i);
+ c_rbtree_for_each_entry_postorder(ie, &t, rb)
+ assert(!ie);
+ c_rbtree_for_each_entry_safe_postorder(ie, ies, &t, rb)
+ assert(!ie);
+
+ c_rbtree_for_each_safe_postorder_unlink(i, is, &t)
+ assert(!i);
+ c_rbtree_for_each_entry_safe_postorder_unlink(ie, ies, &t, rb)
+ assert(!ie);
+}
+
+int main(int argc, char **argv) {
+ test_api();
+ return 0;
+}
diff --git a/src/test-basic.c b/src/test-basic.c
new file mode 100644
index 0000000000..534a10966f
--- /dev/null
+++ b/src/test-basic.c
@@ -0,0 +1,239 @@
+/*
+ * Tests for Basic Tree Operations
+ * This test does some basic tree operations and verifies their correctness. It
+ * validates the RB-Tree invariants after each operation, to guarantee the
+ * stability of the tree.
+ *
+ * For testing purposes, we use the memory address of a node as its key, and
+ * order nodes in ascending order.
+ */
+
+#undef NDEBUG
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+
+#include "c-rbtree.h"
+#include "c-rbtree-private.h"
+
+static size_t validate(CRBTree *t) {
+ unsigned int i_black, n_black;
+ CRBNode *n, *p, *o;
+ size_t count = 0;
+
+ assert(t);
+ assert(!t->root || c_rbnode_is_black(t->root));
+
+ /* traverse to left-most child, count black nodes */
+ i_black = 0;
+ n = t->root;
+ while (n && n->left) {
+ if (c_rbnode_is_black(n))
+ ++i_black;
+ n = n->left;
+ }
+ n_black = i_black;
+
+ /*
+ * Traverse tree and verify correctness:
+ * 1) A node is either red or black
+ * 2) The root is black
+ * 3) All leaves are black
+ * 4) Every red node must have two black child nodes
+ * 5) Every path to a leaf contains the same number of black nodes
+ *
+ * Note that NULL nodes are considered black, which is why we don't
+ * check for 3).
+ */
+ o = NULL;
+ while (n) {
+ ++count;
+
+ /* verify natural order */
+ assert(n > o);
+ o = n;
+
+ /* verify consistency */
+ assert(!n->right || c_rbnode_parent(n->right) == n);
+ assert(!n->left || c_rbnode_parent(n->left) == n);
+
+ /* verify 2) */
+ if (!c_rbnode_parent(n))
+ assert(c_rbnode_is_black(n));
+
+ if (c_rbnode_is_red(n)) {
+ /* verify 4) */
+ assert(!n->left || c_rbnode_is_black(n->left));
+ assert(!n->right || c_rbnode_is_black(n->right));
+ } else {
+ /* verify 1) */
+ assert(c_rbnode_is_black(n));
+ }
+
+ /* verify 5) */
+ if (!n->left && !n->right)
+ assert(i_black == n_black);
+
+ /* get next node */
+ if (n->right) {
+ n = n->right;
+ if (c_rbnode_is_black(n))
+ ++i_black;
+
+ while (n->left) {
+ n = n->left;
+ if (c_rbnode_is_black(n))
+ ++i_black;
+ }
+ } else {
+ while ((p = c_rbnode_parent(n)) && n == p->right) {
+ n = p;
+ if (c_rbnode_is_black(p->right))
+ --i_black;
+ }
+
+ n = p;
+ if (p && c_rbnode_is_black(p->left))
+ --i_black;
+ }
+ }
+
+ return count;
+}
+
+static void insert(CRBTree *t, CRBNode *n) {
+ CRBNode **i, *p;
+
+ assert(t);
+ assert(n);
+ assert(!c_rbnode_is_linked(n));
+
+ i = &t->root;
+ p = NULL;
+ while (*i) {
+ p = *i;
+ if (n < *i) {
+ i = &(*i)->left;
+ } else {
+ assert(n > *i);
+ i = &(*i)->right;
+ }
+ }
+
+ c_rbtree_add(t, p, i, n);
+}
+
+static void shuffle(CRBNode **nodes, size_t n_memb) {
+ unsigned int i, j;
+ CRBNode *t;
+
+ for (i = 0; i < n_memb; ++i) {
+ j = rand() % n_memb;
+ t = nodes[j];
+ nodes[j] = nodes[i];
+ nodes[i] = t;
+ }
+}
+
+static void test_shuffle(void) {
+ CRBNode *nodes[512];
+ CRBTree t = {};
+ unsigned int i, j;
+ size_t n;
+
+ /* allocate and initialize all nodes */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ nodes[i] = malloc(sizeof(*nodes[i]));
+ assert(nodes[i]);
+ c_rbnode_init(nodes[i]);
+ }
+
+ /* shuffle nodes and validate *empty* tree */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+ n = validate(&t);
+ assert(n == 0);
+
+ /* add all nodes and validate after each insertion */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ insert(&t, nodes[i]);
+ n = validate(&t);
+ assert(n == i + 1);
+ }
+
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* remove all nodes (in different order) and validate on each round */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ c_rbnode_unlink(nodes[i]);
+ n = validate(&t);
+ assert(n == sizeof(nodes) / sizeof(*nodes) - i - 1);
+ }
+
+ /* shuffle nodes and validate *empty* tree again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+ n = validate(&t);
+ assert(n == 0);
+
+ /* add all nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ insert(&t, nodes[i]);
+ n = validate(&t);
+ assert(n == i + 1);
+ }
+
+ /* 4 times, remove half of the nodes and add them again */
+ for (j = 0; j < 4; ++j) {
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* remove half of the nodes */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes) / 2; ++i) {
+ c_rbnode_unlink(nodes[i]);
+ n = validate(&t);
+ assert(n == sizeof(nodes) / sizeof(*nodes) - i - 1);
+ }
+
+ /* shuffle the removed half */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes) / 2);
+
+ /* add the removed half again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes) / 2; ++i) {
+ insert(&t, nodes[i]);
+ n = validate(&t);
+ assert(n == sizeof(nodes) / sizeof(*nodes) / 2 + i + 1);
+ }
+ }
+
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* remove all */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ c_rbnode_unlink(nodes[i]);
+ n = validate(&t);
+ assert(n == sizeof(nodes) / sizeof(*nodes) - i - 1);
+ }
+
+ /* free nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ free(nodes[i]);
+}
+
+int main(int argc, char **argv) {
+ unsigned int i;
+
+ /* we want stable tests, so use fixed seed */
+ srand(0xdeadbeef);
+
+ /*
+ * The tests are pseudo random; run them multiple times, each run will
+ * have different orders and thus different results.
+ */
+ for (i = 0; i < 4; ++i)
+ test_shuffle();
+
+ return 0;
+}
diff --git a/src/test-map.c b/src/test-map.c
new file mode 100644
index 0000000000..3601ee495e
--- /dev/null
+++ b/src/test-map.c
@@ -0,0 +1,277 @@
+/*
+ * RB-Tree based Map
+ * This implements a basic Map between integer keys and objects. It uses the
+ * lookup and insertion helpers, rather than open-coding it.
+ */
+
+#undef NDEBUG
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+
+#include "c-rbtree.h"
+#include "c-rbtree-private.h"
+
+typedef struct {
+ unsigned long key;
+ unsigned int marker;
+ CRBNode rb;
+} Node;
+
+#define node_from_rb(_rb) ((Node *)((char *)(_rb) - offsetof(Node, rb)))
+
+static int test_compare(CRBTree *t, void *k, CRBNode *n) {
+ unsigned long key = (unsigned long)k;
+ Node *node = node_from_rb(n);
+
+ return (key < node->key) ? -1 : (key > node->key) ? 1 : 0;
+}
+
+static void shuffle(Node **nodes, size_t n_memb) {
+ unsigned int i, j;
+ Node *t;
+
+ for (i = 0; i < n_memb; ++i) {
+ j = rand() % n_memb;
+ t = nodes[j];
+ nodes[j] = nodes[i];
+ nodes[i] = t;
+ }
+}
+
+static void test_map(void) {
+ CRBNode **slot, *p, *safe_p;
+ CRBTree t = {};
+ Node *n, *safe_n, *nodes[2048];
+ unsigned long i, v;
+
+ /* allocate and initialize all nodes */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ nodes[i] = malloc(sizeof(*nodes[i]));
+ assert(nodes[i]);
+ nodes[i]->key = i;
+ nodes[i]->marker = 0;
+ c_rbnode_init(&nodes[i]->rb);
+ }
+
+ /* shuffle nodes */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* add all nodes, and verify that each node is linked */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ assert(!c_rbnode_is_linked(&nodes[i]->rb));
+ assert(!c_rbtree_find_entry(&t, test_compare, (void *)nodes[i]->key, Node, rb));
+
+ slot = c_rbtree_find_slot(&t, test_compare, (void *)nodes[i]->key, &p);
+ assert(slot);
+ c_rbtree_add(&t, p, slot, &nodes[i]->rb);
+
+ assert(c_rbnode_is_linked(&nodes[i]->rb));
+ assert(nodes[i] == c_rbtree_find_entry(&t, test_compare, (void *)nodes[i]->key, Node, rb));
+ }
+
+ /* verify in-order traversal works */
+ i = 0;
+ v = 0;
+ for (p = c_rbtree_first(&t); p; p = c_rbnode_next(p)) {
+ ++i;
+ assert(!node_from_rb(p)->marker);
+ node_from_rb(p)->marker = 1;
+
+ assert(v <= node_from_rb(p)->key);
+ v = node_from_rb(p)->key;
+
+ assert(!c_rbnode_next(p) || p == c_rbnode_prev(c_rbnode_next(p)));
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify reverse in-order traversal works */
+ i = 0;
+ v = -1;
+ for (p = c_rbtree_last(&t); p; p = c_rbnode_prev(p)) {
+ ++i;
+ assert(node_from_rb(p)->marker);
+ node_from_rb(p)->marker = 0;
+
+ assert(v >= node_from_rb(p)->key);
+ v = node_from_rb(p)->key;
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify post-order traversal works */
+ i = 0;
+ for (p = c_rbtree_first_postorder(&t); p; p = c_rbnode_next_postorder(p)) {
+ ++i;
+ assert(!node_from_rb(p)->marker);
+ assert(!c_rbnode_parent(p) || !node_from_rb(c_rbnode_parent(p))->marker);
+ assert(!p->left || node_from_rb(p->left)->marker);
+ assert(!p->right || node_from_rb(p->right)->marker);
+ node_from_rb(p)->marker = 1;
+
+ assert(!c_rbnode_next_postorder(p) || p == c_rbnode_prev_postorder(c_rbnode_next_postorder(p)));
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify pre-order (inverse post-order) traversal works */
+ i = 0;
+ for (p = c_rbtree_last_postorder(&t); p; p = c_rbnode_prev_postorder(p)) {
+ ++i;
+ assert(node_from_rb(p)->marker);
+ assert(!c_rbnode_parent(p) || !node_from_rb(c_rbnode_parent(p))->marker);
+ assert(!p->left || node_from_rb(p->left)->marker);
+ assert(!p->right || node_from_rb(p->right)->marker);
+ node_from_rb(p)->marker = 0;
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify in-order traversal works via helper */
+ i = 0;
+ v = 0;
+ c_rbtree_for_each(p, &t) {
+ ++i;
+ assert(!node_from_rb(p)->marker);
+ node_from_rb(p)->marker = 1;
+
+ assert(v <= node_from_rb(p)->key);
+ v = node_from_rb(p)->key;
+
+ assert(!c_rbnode_next(p) || p == c_rbnode_prev(c_rbnode_next(p)));
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify in-order traversal works via entry-helper */
+ i = 0;
+ v = 0;
+ c_rbtree_for_each_entry(n, &t, rb) {
+ ++i;
+ assert(n->marker);
+ n->marker = 0;
+
+ assert(v <= n->key);
+ v = n->key;
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify post-order traversal works via helper */
+ i = 0;
+ c_rbtree_for_each_postorder(p, &t) {
+ ++i;
+ assert(!node_from_rb(p)->marker);
+ assert(!c_rbnode_parent(p) || !node_from_rb(c_rbnode_parent(p))->marker);
+ assert(!p->left || node_from_rb(p->left)->marker);
+ assert(!p->right || node_from_rb(p->right)->marker);
+ node_from_rb(p)->marker = 1;
+
+ assert(!c_rbnode_next_postorder(p) || p == c_rbnode_prev_postorder(c_rbnode_next_postorder(p)));
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* verify post-order traversal works via entry-helper */
+ i = 0;
+ c_rbtree_for_each_entry_postorder(n, &t, rb) {
+ ++i;
+ assert(n->marker);
+ assert(!c_rbnode_parent(&n->rb) || node_from_rb(c_rbnode_parent(&n->rb))->marker);
+ assert(!n->rb.left || !node_from_rb(n->rb.left)->marker);
+ assert(!n->rb.right || !node_from_rb(n->rb.right)->marker);
+ n->marker = 0;
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* remove all nodes (in different order) */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ assert(c_rbnode_is_linked(&nodes[i]->rb));
+ assert(nodes[i] == c_rbtree_find_entry(&t, test_compare, (void *)nodes[i]->key, Node, rb));
+
+ c_rbnode_unlink(&nodes[i]->rb);
+
+ assert(!c_rbnode_is_linked(&nodes[i]->rb));
+ assert(!c_rbtree_find_entry(&t, test_compare, (void *)nodes[i]->key, Node, rb));
+ }
+ assert(c_rbtree_is_empty(&t));
+
+ /* add all nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ slot = c_rbtree_find_slot(&t, test_compare, (void *)nodes[i]->key, &p);
+ assert(slot);
+ c_rbtree_add(&t, p, slot, &nodes[i]->rb);
+ }
+
+ /* remove all nodes via helper */
+ i = 0;
+ c_rbtree_for_each_safe(p, safe_p, &t) {
+ ++i;
+ c_rbnode_unlink(p);
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+ assert(c_rbtree_is_empty(&t));
+
+ /* add all nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ slot = c_rbtree_find_slot(&t, test_compare, (void *)nodes[i]->key, &p);
+ assert(slot);
+ c_rbtree_add(&t, p, slot, &nodes[i]->rb);
+ }
+
+ /* remove all nodes via entry-helper */
+ i = 0;
+ c_rbtree_for_each_entry_safe(n, safe_n, &t, rb) {
+ ++i;
+ c_rbnode_unlink(&n->rb);
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+ assert(c_rbtree_is_empty(&t));
+
+ /* add all nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ slot = c_rbtree_find_slot(&t, test_compare, (void *)nodes[i]->key, &p);
+ assert(slot);
+ c_rbtree_add(&t, p, slot, &nodes[i]->rb);
+ }
+
+ /* remove all nodes via unlink-helper */
+ i = 0;
+ c_rbtree_for_each_safe_postorder_unlink(p, safe_p, &t) {
+ ++i;
+ assert(!c_rbnode_is_linked(p));
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+ assert(c_rbtree_is_empty(&t));
+
+ /* add all nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ slot = c_rbtree_find_slot(&t, test_compare, (void *)nodes[i]->key, &p);
+ assert(slot);
+ c_rbtree_add(&t, p, slot, &nodes[i]->rb);
+ }
+
+ /* remove all nodes via entry-unlink-helper */
+ i = 0;
+ c_rbtree_for_each_entry_safe_postorder_unlink(n, safe_n, &t, rb) {
+ ++i;
+ assert(!c_rbnode_is_linked(&n->rb));
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+ assert(c_rbtree_is_empty(&t));
+
+ /* free nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ assert(!nodes[i]->marker);
+ free(nodes[i]);
+ }
+
+ assert(c_rbtree_is_empty(&t));
+}
+
+int main(int argc, char **argv) {
+ /* we want stable tests, so use fixed seed */
+ srand(0xdeadbeef);
+
+ test_map();
+ return 0;
+}
diff --git a/src/test-misc.c b/src/test-misc.c
new file mode 100644
index 0000000000..e5b3289c3c
--- /dev/null
+++ b/src/test-misc.c
@@ -0,0 +1,66 @@
+/*
+ * Tests for Miscellaneous Tree Operations
+ * This test contains all of the minor tests that did not fit anywhere else.
+ */
+
+#undef NDEBUG
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "c-rbtree.h"
+#include "c-rbtree-private.h"
+
+static void insert(CRBTree *t, CRBNode *n) {
+ CRBNode **i, *p;
+
+ assert(t);
+ assert(n);
+ assert(!c_rbnode_is_linked(n));
+
+ i = &t->root;
+ p = NULL;
+ while (*i) {
+ p = *i;
+ if (n < *i) {
+ i = &(*i)->left;
+ } else {
+ assert(n > *i);
+ i = &(*i)->right;
+ }
+ }
+
+ c_rbtree_add(t, p, i, n);
+}
+
+static void test_move(void) {
+ CRBTree t1 = C_RBTREE_INIT, t2 = C_RBTREE_INIT;
+ CRBNode n[128];
+ unsigned int i;
+
+ for (i = 0; i < sizeof(n) / sizeof(*n); ++i) {
+ n[i] = (CRBNode)C_RBNODE_INIT(n[i]);
+ insert(&t1, &n[i]);
+ }
+
+ assert(!c_rbtree_is_empty(&t1));
+ assert(c_rbtree_is_empty(&t2));
+
+ c_rbtree_move(&t2, &t1);
+
+ assert(c_rbtree_is_empty(&t1));
+ assert(!c_rbtree_is_empty(&t2));
+
+ while (t2.root)
+ c_rbnode_unlink(t2.root);
+
+ assert(c_rbtree_is_empty(&t1));
+ assert(c_rbtree_is_empty(&t2));
+}
+
+int main(int argc, char **argv) {
+ test_move();
+
+ return 0;
+}
diff --git a/src/test-parallel.c b/src/test-parallel.c
new file mode 100644
index 0000000000..4513d9ece2
--- /dev/null
+++ b/src/test-parallel.c
@@ -0,0 +1,384 @@
+/*
+ * Tests Lockless Tree Lookups
+ * The RB-Tree implementation supports lockless tree lookups on shared
+ * data-structures. While it does not guarantee correct results (you might skip
+ * entire sub-trees), it does guarantee valid behavior (the traversal is
+ * guaranteed to end and produce some valid result).
+ * This test uses ptrace to run tree operations step-by-step in a separate
+ * process, and after each instruction verify the pseudo-validity of the tree.
+ * This means, a tree must only have valid left/right pointers (or NULL), and
+ * must not contain any loops in those pointers.
+ *
+ * This test runs two processes with a shared context and tree. It runs them in
+ * this order:
+ *
+ * | PARENT | CHILD |
+ * +--------------------+-----------+
+ * ~ ~ ~
+ * test_parent_start
+ * test_child1
+ * test_parent_middle
+ * test_child2
+ * test_parent_end
+ * ~ ~ ~
+ * +--------------------+-----------+
+ *
+ * Additionally, on each TRAP of CHILD, the parent runs test_parent_step(). The
+ * ptrace infrastructure generates a TRAP after each instruction, so this test
+ * is very CPU aggressive in the parent.
+ */
+
+#undef NDEBUG
+#include <assert.h>
+#include <errno.h>
+#include <inttypes.h>
+#include <sched.h>
+#include <signal.h>
+#include <stdbool.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/mman.h>
+#include <sys/ptrace.h>
+#include <sys/resource.h>
+#include <sys/types.h>
+#include <sys/wait.h>
+#include <sys/syscall.h>
+#include <time.h>
+#include <unistd.h>
+
+#include "c-rbtree.h"
+#include "c-rbtree-private.h"
+
+typedef struct {
+ CRBNode rb;
+ bool visited;
+} TestNode;
+
+typedef struct {
+ size_t mapsize;
+ char *map;
+ CRBTree *tree;
+ TestNode *node_mem;
+ CRBNode **nodes;
+ CRBNode **cache;
+ size_t n_nodes;
+} TestContext;
+
+/* avoid ptrace-sigstop by using SIGKILL errors in traced children */
+#define child_assert(_expr) ((void)(!!(_expr) ? 1 : (raise(SIGKILL), 0)))
+
+static int compare(CRBTree *t, void *k, CRBNode *n) {
+ return (char *)n - (char *)k;
+}
+
+static void shuffle(CRBNode **nodes, size_t n_memb) {
+ unsigned int i, j;
+ CRBNode *t;
+
+ for (i = 0; i < n_memb; ++i) {
+ j = rand() % n_memb;
+ t = nodes[j];
+ nodes[j] = nodes[i];
+ nodes[i] = t;
+ }
+}
+
+static void toggle_visit(CRBNode *n, bool set) {
+ c_rbnode_entry(n, TestNode, rb)->visited = set;
+}
+
+static bool fetch_visit(CRBNode *n) {
+ return c_rbnode_entry(n, TestNode, rb)->visited;
+}
+
+static void test_child1(TestContext *ctx) {
+ CRBNode *p, **slot;
+ size_t i;
+
+ for (i = 0; i < ctx->n_nodes; ++i) {
+ child_assert(!c_rbnode_is_linked(ctx->nodes[i]));
+ slot = c_rbtree_find_slot(ctx->tree, compare, ctx->nodes[i], &p);
+ c_rbtree_add(ctx->tree, p, slot, ctx->nodes[i]);
+ }
+}
+
+static void test_child2(TestContext *ctx) {
+ size_t i;
+
+ for (i = 0; i < ctx->n_nodes; ++i) {
+ child_assert(c_rbnode_is_linked(ctx->nodes[i]));
+ c_rbnode_unlink(ctx->nodes[i]);
+ }
+}
+
+static void test_parent_start(TestContext *ctx) {
+ size_t i;
+
+ /*
+ * Generate a tree with @n_nodes entries. We store the entries in
+ * @ctx->node_mem, generate a randomized access-map in @ctx->nodes
+ * (i.e., an array of pointers to entries in @ctx->node_mem, but in
+ * random order), and a temporary cache for free use in the parent.
+ *
+ * All this is stored in a MAP_SHARED memory region so it is equivalent
+ * in child and parent.
+ */
+
+ ctx->n_nodes = 32;
+ ctx->mapsize = sizeof(CRBTree);
+ ctx->mapsize += ctx->n_nodes * sizeof(TestNode);
+ ctx->mapsize += ctx->n_nodes * sizeof(CRBNode*);
+ ctx->mapsize += ctx->n_nodes * sizeof(CRBNode*);
+
+ ctx->map = mmap(NULL, ctx->mapsize, PROT_READ | PROT_WRITE, MAP_SHARED | MAP_ANON, -1, 0);
+ assert(ctx->map != MAP_FAILED);
+
+ ctx->tree = (void *)ctx->map;
+ ctx->node_mem = (void *)(ctx->tree + 1);
+ ctx->nodes = (void *)(ctx->node_mem + ctx->n_nodes);
+ ctx->cache = (void *)(ctx->nodes + ctx->n_nodes);
+
+ for (i = 0; i < ctx->n_nodes; ++i) {
+ ctx->nodes[i] = &ctx->node_mem[i].rb;
+ c_rbnode_init(ctx->nodes[i]);
+ }
+
+ shuffle(ctx->nodes, ctx->n_nodes);
+}
+
+static void test_parent_middle(TestContext *ctx) {
+ size_t i;
+
+ shuffle(ctx->nodes, ctx->n_nodes);
+
+ for (i = 0; i < ctx->n_nodes; ++i)
+ child_assert(c_rbnode_is_linked(ctx->nodes[i]));
+}
+
+static void test_parent_end(TestContext *ctx) {
+ size_t i;
+ int r;
+
+ for (i = 0; i < ctx->n_nodes; ++i)
+ assert(!c_rbnode_is_linked(ctx->nodes[i]));
+
+ r = munmap(ctx->map, ctx->mapsize);
+ assert(r >= 0);
+}
+
+static void test_parent_step(TestContext *ctx) {
+ size_t i, i_level;
+ CRBNode *n, *p;
+
+ n = ctx->tree->root;
+ i_level = 0;
+
+ while (n) {
+ /* verify that we haven't visited @n, yet */
+ assert(!fetch_visit(n));
+
+ /* verify @n is a valid node */
+ for (i = 0; i < ctx->n_nodes; ++i)
+ if (n == ctx->nodes[i])
+ break;
+ assert(i < ctx->n_nodes);
+
+ /* pre-order traversal and marker for cycle detection */
+ if (n->left) {
+ toggle_visit(n, true);
+ ctx->cache[i_level++] = n;
+ n = n->left;
+ } else if (n->right) {
+ toggle_visit(n, true);
+ ctx->cache[i_level++] = n;
+ n = n->right;
+ } else {
+ while (i_level > 0) {
+ p = ctx->cache[i_level - 1];
+ if (p->right && n != p->right) {
+ n = p->right;
+ break;
+ }
+ --i_level;
+ n = p;
+ toggle_visit(n, false);
+ }
+ if (i_level == 0)
+ break;
+ }
+ }
+}
+
+static int test_parallel_child(TestContext *ctx) {
+ int r;
+
+ /*
+ * Make parent trace us and enter stopped state. In case of EPERM, we
+ * are either ptraced already, or are not privileged to run ptrace.
+ * Exit via 0xdf to signal this condition to our parent.
+ */
+ r = ptrace(PTRACE_TRACEME, 0, 0, 0);
+ if (r < 0 && errno == EPERM)
+ return 0xdf;
+
+ child_assert(r >= 0);
+
+ /* SIGUSR1 to signal readiness */
+ r = raise(SIGUSR1);
+ child_assert(r >= 0);
+
+ /* run first part */
+ test_child1(ctx);
+
+ /* SIGURG to cause re-shuffle */
+ r = raise(SIGURG);
+ child_assert(r >= 0);
+
+ /* run second part */
+ test_child2(ctx);
+
+ /* SIGUSR2 to signal end */
+ r = raise(SIGUSR2);
+ child_assert(r >= 0);
+
+ /* return known exit code to parent */
+ return 0xef;
+}
+
+static int test_parallel(void) {
+ TestContext ctx = {};
+ int r, pid, status;
+ uint64_t n_instr, n_event;
+
+ /* create shared area for tree verification */
+ test_parent_start(&ctx);
+
+ /* run child */
+ pid = fork();
+ assert(pid >= 0);
+ if (pid == 0) {
+ r = test_parallel_child(&ctx);
+ _exit(r);
+ }
+
+ /*
+ * After setup, the child immediately enters TRACE-operation and raises
+ * SIGUSR1. Once continued, the child performs the pre-configured tree
+ * operations. When done, it raises SIGUSR2, and then exits.
+ *
+ * Here in the parent we catch all trace-stops of the child via waitpid
+ * until we get no more such stop-events. Based on the stop-event we
+ * get, we verify child-state, STEP it, or perform other state tracking.
+ * We repeat this as long as we catch trace-stops from the child.
+ */
+ n_instr = 0;
+ n_event = 0;
+ for (r = waitpid(pid, &status, 0);
+ r == pid && WIFSTOPPED(status);
+ r = waitpid(pid, &status, 0)) {
+
+ switch (WSTOPSIG(status)) {
+ case SIGUSR1:
+ n_event |= 0x1;
+
+ /* step child */
+ r = ptrace(PTRACE_SINGLESTEP, pid, 0, 0);
+
+ /*
+ * Some architectures (e.g., armv7hl) do not implement
+ * SINGLESTEP, but return EIO. Skip the entire test in
+ * this case.
+ */
+ if (r < 0 && errno == EIO)
+ return 77;
+
+ assert(r >= 0);
+ break;
+
+ case SIGURG:
+ n_event |= 0x2;
+ test_parent_middle(&ctx);
+
+ /* step child */
+ r = ptrace(PTRACE_SINGLESTEP, pid, 0, 0);
+ assert(r >= 0);
+ break;
+
+ case SIGUSR2:
+ n_event |= 0x4;
+ test_parent_end(&ctx);
+
+ /* continue child */
+ r = ptrace(PTRACE_CONT, pid, 0, 0);
+ assert(r >= 0);
+ break;
+
+ case SIGTRAP:
+ ++n_instr;
+ test_parent_step(&ctx);
+
+ /* step repeatedly as long as we get SIGTRAP */
+ r = ptrace(PTRACE_SINGLESTEP, pid, 0, 0);
+ assert(r >= 0);
+ break;
+
+ default:
+ assert(0);
+ break;
+ }
+ }
+
+ /* verify our child exited cleanly */
+ assert(r == pid);
+ assert(!!WIFEXITED(status));
+
+ /*
+ * 0xdf is signalled if ptrace is not allowed or we are already
+ * ptraced. In this case we skip the test.
+ *
+ * 0xef is signalled on success.
+ *
+ * In any other case something went wobbly and we should fail hard.
+ */
+ switch (WEXITSTATUS(status)) {
+ case 0xef:
+ break;
+ case 0xdf:
+ return 77;
+ default:
+ assert(0);
+ break;
+ }
+
+ /* verify we hit all child states */
+ assert(n_event & 0x1);
+ assert(n_event & 0x2);
+ assert(n_event & 0x4);
+ assert(n_instr > 0);
+
+ return 0;
+}
+
+int main(int argc, char **argv) {
+ unsigned int i;
+ int r;
+
+ if (!getenv("CRBTREE_TEST_PTRACE"))
+ return 77;
+
+ /* we want stable tests, so use fixed seed */
+ srand(0xdeadbeef);
+
+ /*
+ * The tests are pseudo random; run them multiple times, each run will
+ * have different orders and thus different results.
+ */
+ for (i = 0; i < 4; ++i) {
+ r = test_parallel();
+ if (r)
+ return r;
+ }
+
+ return 0;
+}
diff --git a/src/test-posix.c b/src/test-posix.c
new file mode 100644
index 0000000000..213d85fefe
--- /dev/null
+++ b/src/test-posix.c
@@ -0,0 +1,270 @@
+/*
+ * Tests to compare against POSIX RB-Trees
+ * POSIX provides balanced binary trees via the tsearch(3p) API. glibc
+ * implements them as RB-Trees. This file compares the performance of both.
+ *
+ * The semantic differences are:
+ *
+ * o The tsearch(3p) API does memory allocation of node structures itself,
+ * rather than allowing the caller to embed it.
+ *
+ * o The c-rbtree API exposes the tree structure, allowing efficient tree
+ * operations. Furthermore, it allows tree creation/deletion without taking
+ * the expensive insert/remove paths. For instance, imagine you want to
+ * create an rb-tree from a set of objects you have. With c-rbtree you can
+ * do that without a single rotation or tree-restructuring in O(n), while
+ * tsearch(3p) requires O(n log n).
+ *
+ * o The tsearch(3p) API requires one pointer-chase on each node access. This
+ * is inherent to the design as it does not allow embedding the node in the
+ * parent object. This slows down the API considerably.
+ *
+ * o The tsearch(3p) API does not allow multiple entries with the same key.
+ *
+ * o The tsearch(3p) API requires node lookup during removal. This does not
+ * affect the worst-case runtime, but does reduce absolute performance.
+ *
+ * o The tsearch(3p) API does not allow O(1) tests whether a node is linked
+ * or not. It requires a separate state variable per node.
+ *
+ * o The tsearch(3p) API does not allow walking the tree with context. The
+ * only accessor twalk(3p) provides no tree context nor caller context to
+ * the callback function.
+ *
+ * o The glibc implementation of tsearch(3p) uses RB-Trees without parent
+ * pointers. Hence, tree traversal requires back-tracking. Performance is
+ * similar, but it reduces memory consumption (though, at the same time it
+ * stores the key pointer, and allocates the node on the heap, so overall
+ * the memory consumption is higher still).
+ * But the more important issue is, a node itself is not enough context as
+ * tree iterator, but the full depth parent pointers are needed as well.
+ */
+
+#undef NDEBUG
+#include <assert.h>
+#include <inttypes.h>
+#include <limits.h>
+#include <search.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+
+#include "c-rbtree.h"
+#include "c-rbtree-private.h"
+
+typedef struct {
+ int key;
+ CRBNode rb;
+} Node;
+
+#define node_from_rb(_rb) ((Node *)((char *)(_rb) - offsetof(Node, rb)))
+#define node_from_key(_key) ((Node *)((char *)(_key) - offsetof(Node, key)))
+
+static void shuffle(Node **nodes, size_t n_memb) {
+ unsigned int i, j;
+ Node *t;
+
+ for (i = 0; i < n_memb; ++i) {
+ j = rand() % n_memb;
+ t = nodes[j];
+ nodes[j] = nodes[i];
+ nodes[i] = t;
+ }
+}
+
+static int compare(CRBTree *t, void *k, CRBNode *n) {
+ int key = (int)(unsigned long)k;
+ Node *node = node_from_rb(n);
+
+ return key - node->key;
+}
+
+static uint64_t now(void) {
+ struct timespec ts;
+ int r;
+
+ r = clock_gettime(CLOCK_THREAD_CPUTIME_ID, &ts);
+ assert(r >= 0);
+ return ts.tv_sec * UINT64_C(1000000000) + ts.tv_nsec;
+}
+
+/*
+ * POSIX tsearch(3p) based RB-Tree API
+ *
+ * This implements a small rb-tree API alongside c-rbtree but based on
+ * tsearch(3p) and friends.
+ *
+ * Note that we don't care for OOM here, nor do we implement all the same
+ * features as c-rbtree. This just does basic insertion, removal, and lookup
+ * without any conflict detection.
+ *
+ * This also hard-codes 'Node' as object type that can be stored in the tree.
+ */
+
+typedef struct PosixRBTree PosixRBTree;
+
+struct PosixRBTree {
+ void *root;
+};
+
+static int posix_rbtree_compare(const void *a, const void *b) {
+ return *(const int *)a - *(const int *)b;
+}
+
+static void posix_rbtree_add(PosixRBTree *t, const Node *node) {
+ void *res;
+
+ res = tsearch(&node->key, &t->root, posix_rbtree_compare);
+ assert(*(int **)res == &node->key);
+}
+
+static void posix_rbtree_remove(PosixRBTree *t, const Node *node) {
+ void *res;
+
+ res = tdelete(&node->key, &t->root, posix_rbtree_compare);
+ assert(res);
+}
+
+static Node *posix_rbtree_find(PosixRBTree *t, int key) {
+ void *res;
+
+ res = tfind(&key, &t->root, posix_rbtree_compare);
+ return res ? node_from_key(*(int **)res) : NULL;
+}
+
+static void posix_rbtree_visit(const void *n, const VISIT o, const int depth) {
+ static int v;
+
+ /* HACK: twalk() has no context; use static context; reset on root */
+ if (depth == 0 && (o == preorder || o == leaf))
+ v = 0;
+
+ switch (o) {
+ case postorder:
+ case leaf:
+ assert(v <= node_from_key(*(int **)n)->key);
+ v = node_from_key(*(int **)n)->key;
+ break;
+ default:
+ break;
+ }
+}
+
+static void posix_rbtree_traverse(PosixRBTree *t) {
+ twalk(t->root, posix_rbtree_visit);
+}
+
+/*
+ * Comparison between c-rbtree and tsearch(3p)
+ *
+ * Based on the tsearch(3p) API above, this now implements some comparisons
+ * between c-rbtree and the POSIX API.
+ *
+ * The semantic differences are explained above. This does mostly performance
+ * comparisons.
+ */
+
+static void test_posix(void) {
+ uint64_t ts, ts_c1, ts_c2, ts_c3, ts_c4;
+ uint64_t ts_p1, ts_p2, ts_p3, ts_p4;
+ PosixRBTree pt = {};
+ CRBNode **slot, *p;
+ CRBTree t = {};
+ Node *nodes[2048];
+ unsigned long i;
+ int v;
+
+ /* allocate and initialize all nodes */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ nodes[i] = malloc(sizeof(*nodes[i]));
+ assert(nodes[i]);
+ nodes[i]->key = i;
+ c_rbnode_init(&nodes[i]->rb);
+ }
+
+ /* shuffle nodes */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* add all nodes, and verify that each node is linked */
+ ts = now();
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i) {
+ slot = c_rbtree_find_slot(&t, compare, (void *)(unsigned long)nodes[i]->key, &p);
+ assert(slot);
+ c_rbtree_add(&t, p, slot, &nodes[i]->rb);
+ }
+ ts_c1 = now() - ts;
+
+ ts = now();
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ posix_rbtree_add(&pt, nodes[i]);
+ ts_p1 = now() - ts;
+
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* traverse tree in-order */
+ ts = now();
+ i = 0;
+ v = 0;
+ for (p = c_rbtree_first(&t); p; p = c_rbnode_next(p)) {
+ ++i;
+
+ assert(v <= node_from_rb(p)->key);
+ v = node_from_rb(p)->key;
+ }
+ assert(i == sizeof(nodes) / sizeof(*nodes));
+ ts_c2 = now() - ts;
+
+ ts = now();
+ posix_rbtree_traverse(&pt);
+ ts_p2 = now() - ts;
+
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* lookup all nodes (in different order) */
+ ts = now();
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ assert(nodes[i] == c_rbtree_find_entry(&t, compare,
+ (void *)(unsigned long)nodes[i]->key,
+ Node, rb));
+ ts_c3 = now() - ts;
+
+ ts = now();
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ assert(nodes[i] == posix_rbtree_find(&pt, nodes[i]->key));
+ ts_p3 = now() - ts;
+
+ /* shuffle nodes again */
+ shuffle(nodes, sizeof(nodes) / sizeof(*nodes));
+
+ /* remove all nodes (in different order) */
+ ts = now();
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ c_rbnode_unlink(&nodes[i]->rb);
+ ts_c4 = now() - ts;
+
+ ts = now();
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ posix_rbtree_remove(&pt, nodes[i]);
+ ts_p4 = now() - ts;
+
+ /* free nodes again */
+ for (i = 0; i < sizeof(nodes) / sizeof(*nodes); ++i)
+ free(nodes[i]);
+
+ fprintf(stderr, " insertion traversal lookup removal\n");
+ fprintf(stderr, " c-rbtree: %8"PRIu64"ns %8"PRIu64"ns %8"PRIu64"ns %8"PRIu64"ns\n",
+ ts_c1, ts_c2, ts_c3, ts_c4);
+ fprintf(stderr, "tsearch(3p): %8"PRIu64"ns %8"PRIu64"ns %8"PRIu64"ns %8"PRIu64"ns\n",
+ ts_p1, ts_p2, ts_p3, ts_p4);
+}
+
+int main(int argc, char **argv) {
+ /* we want stable tests, so use fixed seed */
+ srand(0xdeadbeef);
+
+ test_posix();
+ return 0;
+}