Annotation of embedaddon/sudo/plugins/sudoers/redblack.c, revision 1.1.1.1

1.1       misho       1: /*
                      2:  * Copyright (c) 2004-2005, 2007, 2009-2011
                      3:  *     Todd C. Miller <Todd.Miller@courtesan.com>
                      4:  *
                      5:  * Permission to use, copy, modify, and distribute this software for any
                      6:  * purpose with or without fee is hereby granted, provided that the above
                      7:  * copyright notice and this permission notice appear in all copies.
                      8:  *
                      9:  * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
                     10:  * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
                     11:  * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
                     12:  * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
                     13:  * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
                     14:  * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
                     15:  * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
                     16:  */
                     17: 
                     18: /*
                     19:  * Adapted from the following code written by Emin Martinian:
                     20:  * http://web.mit.edu/~emin/www/source_code/red_black_tree/index.html
                     21:  *
                     22:  * Copyright (c) 2001 Emin Martinian
                     23:  *
                     24:  * Redistribution and use in source and binary forms, with or without
                     25:  * modification, are permitted provided that neither the name of Emin
                     26:  * Martinian nor the names of any contributors are be used to endorse or
                     27:  * promote products derived from this software without specific prior
                     28:  * written permission.
                     29:  *
                     30:  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
                     31:  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
                     32:  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
                     33:  * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
                     34:  * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
                     35:  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
                     36:  * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
                     37:  * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
                     38:  * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
                     39:  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
                     40:  * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
                     41:  */
                     42: 
                     43: #include <config.h>
                     44: 
                     45: #include <sys/types.h>
                     46: #include <sys/param.h>
                     47: 
                     48: #include <stdio.h>
                     49: #ifdef STDC_HEADERS
                     50: # include <stdlib.h>
                     51: # include <stddef.h>
                     52: #else
                     53: # ifdef HAVE_STDLIB_H
                     54: #  include <stdlib.h>
                     55: # endif
                     56: #endif /* STDC_HEADERS */
                     57: 
                     58: #include "missing.h"
                     59: #include "alloc.h"
                     60: #include "redblack.h"
                     61: 
                     62: static void rbrepair(struct rbtree *, struct rbnode *);
                     63: static void rotate_left(struct rbtree *, struct rbnode *);
                     64: static void rotate_right(struct rbtree *, struct rbnode *);
                     65: static void _rbdestroy(struct rbtree *, struct rbnode *, void (*)(void *));
                     66: 
                     67: /*
                     68:  * Red-Black tree, see http://en.wikipedia.org/wiki/Red-black_tree
                     69:  *
                     70:  * A red-black tree is a binary search tree where each node has a color
                     71:  * attribute, the value of which is either red or black.  Essentially, it
                     72:  * is just a convenient way to express a 2-3-4 binary search tree where
                     73:  * the color indicates whether the node is part of a 3-node or a 4-node.
                     74:  * In addition to the ordinary requirements imposed on binary search
                     75:  * trees, we make the following additional requirements of any valid
                     76:  * red-black tree:
                     77:  *  1) Every node is either red or black.
                     78:  *  2) The root is black.
                     79:  *  3) All leaves are black.
                     80:  *  4) Both children of each red node are black.
                     81:  *  5) The paths from each leaf up to the root each contain the same
                     82:  *     number of black nodes.
                     83:  */
                     84: 
                     85: /*
                     86:  * Create a red black tree struct using the specified compare routine.
                     87:  * Allocates and returns the initialized (empty) tree.
                     88:  */
                     89: struct rbtree *
                     90: rbcreate(int (*compar)(const void *, const void*))
                     91: {
                     92:     struct rbtree *tree;
                     93: 
                     94:     tree = (struct rbtree *) emalloc(sizeof(*tree));
                     95:     tree->compar = compar;
                     96: 
                     97:     /*
                     98:      * We use a self-referencing sentinel node called nil to simplify the
                     99:      * code by avoiding the need to check for NULL pointers.
                    100:      */
                    101:     tree->nil.left = tree->nil.right = tree->nil.parent = &tree->nil;
                    102:     tree->nil.color = black;
                    103:     tree->nil.data = NULL;
                    104: 
                    105:     /*
                    106:      * Similarly, the fake root node keeps us from having to worry
                    107:      * about splitting the root.
                    108:      */
                    109:     tree->root.left = tree->root.right = tree->root.parent = &tree->nil;
                    110:     tree->root.color = black;
                    111:     tree->root.data = NULL;
                    112: 
                    113:     return tree;
                    114: }
                    115: 
                    116: /*
                    117:  * Perform a left rotation starting at node.
                    118:  */
                    119: static void
                    120: rotate_left(struct rbtree *tree, struct rbnode *node)
                    121: {
                    122:     struct rbnode *child;
                    123: 
                    124:     child = node->right;
                    125:     node->right = child->left;
                    126: 
                    127:     if (child->left != rbnil(tree))
                    128:         child->left->parent = node;
                    129:     child->parent = node->parent;
                    130: 
                    131:     if (node == node->parent->left)
                    132:        node->parent->left = child;
                    133:     else
                    134:        node->parent->right = child;
                    135:     child->left = node;
                    136:     node->parent = child;
                    137: }
                    138: 
                    139: /*
                    140:  * Perform a right rotation starting at node.
                    141:  */
                    142: static void
                    143: rotate_right(struct rbtree *tree, struct rbnode *node)
                    144: {
                    145:     struct rbnode *child;
                    146: 
                    147:     child = node->left;
                    148:     node->left = child->right;
                    149: 
                    150:     if (child->right != rbnil(tree))
                    151:         child->right->parent = node;
                    152:     child->parent = node->parent;
                    153: 
                    154:     if (node == node->parent->left)
                    155:        node->parent->left = child;
                    156:     else
                    157:        node->parent->right = child;
                    158:     child->right = node;
                    159:     node->parent = child;
                    160: }
                    161: 
                    162: /*
                    163:  * Insert data pointer into a redblack tree.
                    164:  * Returns a NULL pointer on success.  If a node matching "data"
                    165:  * already exists, a pointer to the existant node is returned.
                    166:  */
                    167: struct rbnode *
                    168: rbinsert(struct rbtree *tree, void *data)
                    169: {
                    170:     struct rbnode *node = rbfirst(tree);
                    171:     struct rbnode *parent = rbroot(tree);
                    172:     int res;
                    173: 
                    174:     /* Find correct insertion point. */
                    175:     while (node != rbnil(tree)) {
                    176:        parent = node;
                    177:        if ((res = tree->compar(data, node->data)) == 0)
                    178:            return node;
                    179:        node = res < 0 ? node->left : node->right;
                    180:     }
                    181: 
                    182:     node = (struct rbnode *) emalloc(sizeof(*node));
                    183:     node->data = data;
                    184:     node->left = node->right = rbnil(tree);
                    185:     node->parent = parent;
                    186:     if (parent == rbroot(tree) || tree->compar(data, parent->data) < 0)
                    187:        parent->left = node;
                    188:     else
                    189:        parent->right = node;
                    190:     node->color = red;
                    191: 
                    192:     /*
                    193:      * If the parent node is black we are all set, if it is red we have
                    194:      * the following possible cases to deal with.  We iterate through
                    195:      * the rest of the tree to make sure none of the required properties
                    196:      * is violated.
                    197:      *
                    198:      * 1) The uncle is red.  We repaint both the parent and uncle black
                    199:      *     and repaint the grandparent node red.
                    200:      *
                    201:      *  2) The uncle is black and the new node is the right child of its
                    202:      *     parent, and the parent in turn is the left child of its parent.
                    203:      *     We do a left rotation to switch the roles of the parent and
                    204:      *     child, relying on further iterations to fixup the old parent.
                    205:      *
                    206:      *  3) The uncle is black and the new node is the left child of its
                    207:      *     parent, and the parent in turn is the left child of its parent.
                    208:      *     We switch the colors of the parent and grandparent and perform
                    209:      *     a right rotation around the grandparent.  This makes the former
                    210:      *     parent the parent of the new node and the former grandparent.
                    211:      *
                    212:      * Note that because we use a sentinel for the root node we never
                    213:      * need to worry about replacing the root.
                    214:      */
                    215:     while (node->parent->color == red) {
                    216:        struct rbnode *uncle;
                    217:        if (node->parent == node->parent->parent->left) {
                    218:            uncle = node->parent->parent->right;
                    219:            if (uncle->color == red) {
                    220:                node->parent->color = black;
                    221:                uncle->color = black;
                    222:                node->parent->parent->color = red;
                    223:                node = node->parent->parent;
                    224:            } else /* if (uncle->color == black) */ {
                    225:                if (node == node->parent->right) {
                    226:                    node = node->parent;
                    227:                    rotate_left(tree, node);
                    228:                }
                    229:                node->parent->color = black;
                    230:                node->parent->parent->color = red;
                    231:                rotate_right(tree, node->parent->parent);
                    232:            }
                    233:        } else { /* if (node->parent == node->parent->parent->right) */
                    234:            uncle = node->parent->parent->left;
                    235:            if (uncle->color == red) {
                    236:                node->parent->color = black;
                    237:                uncle->color = black;
                    238:                node->parent->parent->color = red;
                    239:                node = node->parent->parent;
                    240:            } else /* if (uncle->color == black) */ {
                    241:                if (node == node->parent->left) {
                    242:                    node = node->parent;
                    243:                    rotate_right(tree, node);
                    244:                }
                    245:                node->parent->color = black;
                    246:                node->parent->parent->color = red;
                    247:                rotate_left(tree, node->parent->parent);
                    248:            }
                    249:        }
                    250:     }
                    251:     rbfirst(tree)->color = black;      /* first node is always black */
                    252:     return NULL;
                    253: }
                    254: 
                    255: /*
                    256:  * Look for a node matching key in tree.
                    257:  * Returns a pointer to the node if found, else NULL.
                    258:  */
                    259: struct rbnode *
                    260: rbfind(struct rbtree *tree, void *key)
                    261: {
                    262:     struct rbnode *node = rbfirst(tree);
                    263:     int res;
                    264: 
                    265:     while (node != rbnil(tree)) {
                    266:        if ((res = tree->compar(key, node->data)) == 0)
                    267:            return node;
                    268:        node = res < 0 ? node->left : node->right;
                    269:     }
                    270:     return NULL;
                    271: }
                    272: 
                    273: /*
                    274:  * Call func() for each node, passing it the node data and a cookie;
                    275:  * If func() returns non-zero for a node, the traversal stops and the
                    276:  * error value is returned.  Returns 0 on successful traversal.
                    277:  */
                    278: int
                    279: rbapply_node(struct rbtree *tree, struct rbnode *node,
                    280:     int (*func)(void *, void *), void *cookie, enum rbtraversal order)
                    281: {
                    282:     int error;
                    283: 
                    284:     if (node != rbnil(tree)) {
                    285:        if (order == preorder)
                    286:            if ((error = func(node->data, cookie)) != 0)
                    287:                return error;
                    288:        if ((error = rbapply_node(tree, node->left, func, cookie, order)) != 0)
                    289:            return error;
                    290:        if (order == inorder)
                    291:            if ((error = func(node->data, cookie)) != 0)
                    292:                return error;
                    293:        if ((error = rbapply_node(tree, node->right, func, cookie, order)) != 0)
                    294:            return error;
                    295:        if (order == postorder)
                    296:            if ((error = func(node->data, cookie)) != 0)
                    297:                return error;
                    298:     }
                    299:     return 0;
                    300: }
                    301: 
                    302: /*
                    303:  * Returns the successor of node, or nil if there is none.
                    304:  */
                    305: static struct rbnode *
                    306: rbsuccessor(struct rbtree *tree, struct rbnode *node)
                    307: {
                    308:     struct rbnode *succ;
                    309: 
                    310:     if ((succ = node->right) != rbnil(tree)) {
                    311:        while (succ->left != rbnil(tree))
                    312:            succ = succ->left;
                    313:     } else {
                    314:        /* No right child, move up until we find it or hit the root */
                    315:        for (succ = node->parent; node == succ->right; succ = succ->parent)
                    316:            node = succ;
                    317:        if (succ == rbroot(tree))
                    318:            succ = rbnil(tree);
                    319:     }
                    320:     return succ;
                    321: }
                    322: 
                    323: /*
                    324:  * Recursive portion of rbdestroy().
                    325:  */
                    326: static void
                    327: _rbdestroy(struct rbtree *tree, struct rbnode *node, void (*destroy)(void *))
                    328: {
                    329:     if (node != rbnil(tree)) {
                    330:        _rbdestroy(tree, node->left, destroy);
                    331:        _rbdestroy(tree, node->right, destroy);
                    332:        if (destroy != NULL)
                    333:            destroy(node->data);
                    334:        efree(node);
                    335:     }
                    336: }
                    337: 
                    338: /*
                    339:  * Destroy the specified tree, calling the destructor destroy
                    340:  * for each node and then freeing the tree itself.
                    341:  */
                    342: void
                    343: rbdestroy(struct rbtree *tree, void (*destroy)(void *))
                    344: {
                    345:     _rbdestroy(tree, rbfirst(tree), destroy);
                    346:     efree(tree);
                    347: }
                    348: 
                    349: /*
                    350:  * Delete node 'z' from the tree and return its data pointer.
                    351:  */
                    352: void *rbdelete(struct rbtree *tree, struct rbnode *z)
                    353: {
                    354:     struct rbnode *x, *y;
                    355:     void *data = z->data;
                    356: 
                    357:     if (z->left == rbnil(tree) || z->right == rbnil(tree))
                    358:        y = z;
                    359:     else
                    360:        y = rbsuccessor(tree, z);
                    361:     x = (y->left == rbnil(tree)) ? y->right : y->left;
                    362: 
                    363:     if ((x->parent = y->parent) == rbroot(tree)) {
                    364:        rbfirst(tree) = x;
                    365:     } else {
                    366:        if (y == y->parent->left)
                    367:            y->parent->left = x;
                    368:        else
                    369:            y->parent->right = x;
                    370:     }
                    371:     if (y->color == black)
                    372:        rbrepair(tree, x);
                    373:     if (y != z) {
                    374:        y->left = z->left;
                    375:        y->right = z->right;
                    376:        y->parent = z->parent;
                    377:        y->color = z->color;
                    378:        z->left->parent = z->right->parent = y;
                    379:        if (z == z->parent->left)
                    380:            z->parent->left = y; 
                    381:        else
                    382:            z->parent->right = y;
                    383:     }
                    384:     free(z); 
                    385:     
                    386:     return data;
                    387: }
                    388: 
                    389: /*
                    390:  * Repair the tree after a node has been deleted by rotating and repainting
                    391:  * colors to restore the 4 properties inherent in red-black trees.
                    392:  */
                    393: static void
                    394: rbrepair(struct rbtree *tree, struct rbnode *node)
                    395: {
                    396:     struct rbnode *sibling;
                    397: 
                    398:     while (node->color == black && node != rbroot(tree)) {
                    399:        if (node == node->parent->left) {
                    400:            sibling = node->parent->right;
                    401:            if (sibling->color == red) {
                    402:                sibling->color = black;
                    403:                node->parent->color = red;
                    404:                rotate_left(tree, node->parent);
                    405:                sibling = node->parent->right;
                    406:            }
                    407:            if (sibling->right->color == black && sibling->left->color == black) {
                    408:                sibling->color = red;
                    409:                node = node->parent;
                    410:            } else {
                    411:                if (sibling->right->color == black) {
                    412:                      sibling->left->color = black;
                    413:                      sibling->color = red;
                    414:                      rotate_right(tree, sibling);
                    415:                      sibling = node->parent->right;
                    416:                }
                    417:                sibling->color = node->parent->color;
                    418:                node->parent->color = black;
                    419:                sibling->right->color = black;
                    420:                rotate_left(tree, node->parent);
                    421:                node = rbroot(tree); /* exit loop */
                    422:            }
                    423:        } else { /* if (node == node->parent->right) */
                    424:            sibling = node->parent->left;
                    425:            if (sibling->color == red) {
                    426:                sibling->color = black;
                    427:                node->parent->color = red;
                    428:                rotate_right(tree, node->parent);
                    429:                sibling = node->parent->left;
                    430:            }
                    431:            if (sibling->right->color == black && sibling->left->color == black) {
                    432:                sibling->color = red;
                    433:                node = node->parent;
                    434:            } else {
                    435:                if (sibling->left->color == black) {
                    436:                    sibling->right->color = black;
                    437:                    sibling->color = red;
                    438:                    rotate_left(tree, sibling);
                    439:                    sibling = node->parent->left;
                    440:                }
                    441:                sibling->color = node->parent->color;
                    442:                node->parent->color = black;
                    443:                sibling->left->color = black;
                    444:                rotate_right(tree, node->parent);
                    445:                node = rbroot(tree); /* exit loop */
                    446:            }
                    447:        }
                    448:     }
                    449:     node->color = black;
                    450: }

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