/* * SPDX-License-Identifier: ISC * * Copyright (c) 2004-2005, 2007, 2009-2015 * Todd C. Miller * * Permission to use, copy, modify, and distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ /* * This is an open source non-commercial project. Dear PVS-Studio, please check it. * PVS-Studio Static Code Analyzer for C, C++ and C#: http://www.viva64.com */ /* * Adapted from the following code written by Emin Martinian: * http://web.mit.edu/~emin/www/source_code/red_black_tree/index.html * * Copyright (c) 2001 Emin Martinian * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that neither the name of Emin * Martinian nor the names of any contributors are be used to endorse or * promote products derived from this software without specific prior * written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include #include #include #include "sudoers.h" #include "redblack.h" static void rbrepair(struct rbtree *, struct rbnode *); static void rotate_left(struct rbtree *, struct rbnode *); static void rotate_right(struct rbtree *, struct rbnode *); static void rbdestroy_int(struct rbtree *, struct rbnode *, void (*)(void *)); /* * Red-Black tree, see http://en.wikipedia.org/wiki/Red-black_tree * * A red-black tree is a binary search tree where each node has a color * attribute, the value of which is either red or black. Essentially, it * is just a convenient way to express a 2-3-4 binary search tree where * the color indicates whether the node is part of a 3-node or a 4-node. * In addition to the ordinary requirements imposed on binary search * trees, we make the following additional requirements of any valid * red-black tree: * 1) Every node is either red or black. * 2) The root is black. * 3) All leaves are black. * 4) Both children of each red node are black. * 5) The paths from each leaf up to the root each contain the same * number of black nodes. */ /* * Create a red black tree struct using the specified compare routine. * Allocates and returns the initialized (empty) tree or NULL if * memory cannot be allocated. */ struct rbtree * rbcreate(int (*compar)(const void *, const void*)) { struct rbtree *tree; debug_decl(rbcreate, SUDOERS_DEBUG_RBTREE); if ((tree = malloc(sizeof(*tree))) == NULL) { sudo_debug_printf(SUDO_DEBUG_ERROR|SUDO_DEBUG_LINENO, "unable to allocate memory"); debug_return_ptr(NULL); } tree->compar = compar; /* * We use a self-referencing sentinel node called nil to simplify the * code by avoiding the need to check for NULL pointers. */ tree->nil.left = tree->nil.right = tree->nil.parent = &tree->nil; tree->nil.color = black; tree->nil.data = NULL; /* * Similarly, the fake root node keeps us from having to worry * about splitting the root. */ tree->root.left = tree->root.right = tree->root.parent = &tree->nil; // -V778 tree->root.color = black; tree->root.data = NULL; debug_return_ptr(tree); } /* * Perform a left rotation starting at node. */ static void rotate_left(struct rbtree *tree, struct rbnode *node) { struct rbnode *child; debug_decl(rotate_left, SUDOERS_DEBUG_RBTREE); child = node->right; node->right = child->left; if (child->left != rbnil(tree)) child->left->parent = node; child->parent = node->parent; if (node == node->parent->left) node->parent->left = child; else node->parent->right = child; child->left = node; node->parent = child; debug_return; } /* * Perform a right rotation starting at node. */ static void rotate_right(struct rbtree *tree, struct rbnode *node) { struct rbnode *child; debug_decl(rotate_right, SUDOERS_DEBUG_RBTREE); child = node->left; node->left = child->right; if (child->right != rbnil(tree)) child->right->parent = node; child->parent = node->parent; if (node == node->parent->left) node->parent->left = child; else node->parent->right = child; child->right = node; node->parent = child; debug_return; } /* * Insert data pointer into a redblack tree. * Returns a 0 on success, 1 if a node matching "data" already exists * (filling in "existing" if not NULL), or -1 on malloc() failure. */ int rbinsert(struct rbtree *tree, void *data, struct rbnode **existing) { struct rbnode *node = rbfirst(tree); struct rbnode *parent = rbroot(tree); int res; debug_decl(rbinsert, SUDOERS_DEBUG_RBTREE); /* Find correct insertion point. */ while (node != rbnil(tree)) { parent = node; if ((res = tree->compar(data, node->data)) == 0) { if (existing != NULL) *existing = node; debug_return_int(1); } node = res < 0 ? node->left : node->right; } node = malloc(sizeof(*node)); if (node == NULL) { sudo_debug_printf(SUDO_DEBUG_ERROR|SUDO_DEBUG_LINENO, "unable to allocate memory"); debug_return_int(-1); } node->data = data; node->left = node->right = rbnil(tree); node->parent = parent; if (parent == rbroot(tree) || tree->compar(data, parent->data) < 0) parent->left = node; else parent->right = node; node->color = red; /* * If the parent node is black we are all set, if it is red we have * the following possible cases to deal with. We iterate through * the rest of the tree to make sure none of the required properties * is violated. * * 1) The uncle is red. We repaint both the parent and uncle black * and repaint the grandparent node red. * * 2) The uncle is black and the new node is the right child of its * parent, and the parent in turn is the left child of its parent. * We do a left rotation to switch the roles of the parent and * child, relying on further iterations to fixup the old parent. * * 3) The uncle is black and the new node is the left child of its * parent, and the parent in turn is the left child of its parent. * We switch the colors of the parent and grandparent and perform * a right rotation around the grandparent. This makes the former * parent the parent of the new node and the former grandparent. * * Note that because we use a sentinel for the root node we never * need to worry about replacing the root. */ while (node->parent->color == red) { struct rbnode *uncle; if (node->parent == node->parent->parent->left) { uncle = node->parent->parent->right; if (uncle->color == red) { node->parent->color = black; uncle->color = black; node->parent->parent->color = red; node = node->parent->parent; } else /* if (uncle->color == black) */ { if (node == node->parent->right) { node = node->parent; rotate_left(tree, node); } node->parent->color = black; node->parent->parent->color = red; rotate_right(tree, node->parent->parent); } } else { /* if (node->parent == node->parent->parent->right) */ uncle = node->parent->parent->left; if (uncle->color == red) { node->parent->color = black; uncle->color = black; node->parent->parent->color = red; node = node->parent->parent; } else /* if (uncle->color == black) */ { if (node == node->parent->left) { node = node->parent; rotate_right(tree, node); } node->parent->color = black; node->parent->parent->color = red; rotate_left(tree, node->parent->parent); } } } rbfirst(tree)->color = black; /* first node is always black */ debug_return_int(0); } /* * Look for a node matching key in tree. * Returns a pointer to the node if found, else NULL. */ struct rbnode * rbfind(struct rbtree *tree, void *key) { struct rbnode *node = rbfirst(tree); int res; debug_decl(rbfind, SUDOERS_DEBUG_RBTREE); while (node != rbnil(tree)) { if ((res = tree->compar(key, node->data)) == 0) debug_return_ptr(node); node = res < 0 ? node->left : node->right; } debug_return_ptr(NULL); } /* * Call func() for each node, passing it the node data and a cookie; * If func() returns non-zero for a node, the traversal stops and the * error value is returned. Returns 0 on successful traversal. */ int rbapply_node(struct rbtree *tree, struct rbnode *node, int (*func)(void *, void *), void *cookie, enum rbtraversal order) { int error; debug_decl(rbapply_node, SUDOERS_DEBUG_RBTREE); if (node != rbnil(tree)) { if (order == preorder) if ((error = func(node->data, cookie)) != 0) debug_return_int(error); if ((error = rbapply_node(tree, node->left, func, cookie, order)) != 0) debug_return_int(error); if (order == inorder) if ((error = func(node->data, cookie)) != 0) debug_return_int(error); if ((error = rbapply_node(tree, node->right, func, cookie, order)) != 0) debug_return_int(error); if (order == postorder) if ((error = func(node->data, cookie)) != 0) debug_return_int(error); } debug_return_int(0); } /* * Returns the successor of node, or nil if there is none. */ static struct rbnode * rbsuccessor(struct rbtree *tree, struct rbnode *node) { struct rbnode *succ; debug_decl(rbsuccessor, SUDOERS_DEBUG_RBTREE); if ((succ = node->right) != rbnil(tree)) { while (succ->left != rbnil(tree)) succ = succ->left; } else { /* No right child, move up until we find it or hit the root */ for (succ = node->parent; node == succ->right; succ = succ->parent) node = succ; if (succ == rbroot(tree)) succ = rbnil(tree); } debug_return_ptr(succ); } /* * Recursive portion of rbdestroy(). */ static void rbdestroy_int(struct rbtree *tree, struct rbnode *node, void (*destroy)(void *)) { debug_decl(rbdestroy_int, SUDOERS_DEBUG_RBTREE); if (node != rbnil(tree)) { rbdestroy_int(tree, node->left, destroy); rbdestroy_int(tree, node->right, destroy); if (destroy != NULL) destroy(node->data); free(node); } debug_return; } /* * Destroy the specified tree, calling the destructor "destroy" * for each node and then freeing the tree itself. */ void rbdestroy(struct rbtree *tree, void (*destroy)(void *)) { debug_decl(rbdestroy, SUDOERS_DEBUG_RBTREE); rbdestroy_int(tree, rbfirst(tree), destroy); free(tree); debug_return; } /* * Delete node 'z' from the tree and return its data pointer. */ void *rbdelete(struct rbtree *tree, struct rbnode *z) { struct rbnode *x, *y; void *data = z->data; debug_decl(rbdelete, SUDOERS_DEBUG_RBTREE); if (z->left == rbnil(tree) || z->right == rbnil(tree)) y = z; else y = rbsuccessor(tree, z); x = (y->left == rbnil(tree)) ? y->right : y->left; if ((x->parent = y->parent) == rbroot(tree)) { rbfirst(tree) = x; } else { if (y == y->parent->left) y->parent->left = x; else y->parent->right = x; } if (y->color == black) rbrepair(tree, x); if (y != z) { y->left = z->left; y->right = z->right; y->parent = z->parent; y->color = z->color; z->left->parent = z->right->parent = y; if (z == z->parent->left) z->parent->left = y; else z->parent->right = y; } free(z); debug_return_ptr(data); } /* * Repair the tree after a node has been deleted by rotating and repainting * colors to restore the 4 properties inherent in red-black trees. */ static void rbrepair(struct rbtree *tree, struct rbnode *node) { struct rbnode *sibling; debug_decl(rbrepair, SUDOERS_DEBUG_RBTREE); while (node->color == black && node != rbfirst(tree)) { if (node == node->parent->left) { sibling = node->parent->right; if (sibling->color == red) { sibling->color = black; node->parent->color = red; rotate_left(tree, node->parent); sibling = node->parent->right; } if (sibling->right->color == black && sibling->left->color == black) { sibling->color = red; node = node->parent; } else { if (sibling->right->color == black) { sibling->left->color = black; sibling->color = red; rotate_right(tree, sibling); sibling = node->parent->right; } sibling->color = node->parent->color; node->parent->color = black; sibling->right->color = black; rotate_left(tree, node->parent); node = rbfirst(tree); /* exit loop */ } } else { /* if (node == node->parent->right) */ sibling = node->parent->left; if (sibling->color == red) { sibling->color = black; node->parent->color = red; rotate_right(tree, node->parent); sibling = node->parent->left; } if (sibling->right->color == black && sibling->left->color == black) { sibling->color = red; node = node->parent; } else { if (sibling->left->color == black) { sibling->right->color = black; sibling->color = red; rotate_left(tree, sibling); sibling = node->parent->left; } sibling->color = node->parent->color; node->parent->color = black; sibling->left->color = black; rotate_right(tree, node->parent); node = rbfirst(tree); /* exit loop */ } } } node->color = black; debug_return; }