/* * Elastic Binary Trees - macros and structures for Multi-Byte data nodes. * Version 6.0.6 * (C) 2002-2011 - Willy Tarreau * * This library 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, version 2.1 * exclusively. * * 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. * * You should have received a copy of the GNU Lesser General Public * License along with this library; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #ifndef _EBMBTREE_H #define _EBMBTREE_H #include #include "ebtree.h" /* Return the structure of type whose member points to */ #define ebmb_entry(ptr, type, member) container_of(ptr, type, member) #define EBMB_ROOT EB_ROOT #define EBMB_TREE_HEAD EB_TREE_HEAD /* This structure carries a node, a leaf, and a key. It must start with the * eb_node so that it can be cast into an eb_node. We could also have put some * sort of transparent union here to reduce the indirection level, but the fact * is, the end user is not meant to manipulate internals, so this is pointless. * The 'node.bit' value here works differently from scalar types, as it contains * the number of identical bits between the two branches. */ struct ebmb_node { struct eb_node node; /* the tree node, must be at the beginning */ unsigned char key[0]; /* the key, its size depends on the application */ }; /* * Exported functions and macros. * Many of them are always inlined because they are extremely small, and * are generally called at most once or twice in a program. */ /* Return leftmost node in the tree, or NULL if none */ static forceinline struct ebmb_node *ebmb_first(struct eb_root *root) { return ebmb_entry(eb_first(root), struct ebmb_node, node); } /* Return rightmost node in the tree, or NULL if none */ static forceinline struct ebmb_node *ebmb_last(struct eb_root *root) { return ebmb_entry(eb_last(root), struct ebmb_node, node); } /* Return next node in the tree, or NULL if none */ static forceinline struct ebmb_node *ebmb_next(struct ebmb_node *ebmb) { return ebmb_entry(eb_next(&ebmb->node), struct ebmb_node, node); } /* Return previous node in the tree, or NULL if none */ static forceinline struct ebmb_node *ebmb_prev(struct ebmb_node *ebmb) { return ebmb_entry(eb_prev(&ebmb->node), struct ebmb_node, node); } /* Return next leaf node within a duplicate sub-tree, or NULL if none. */ static inline struct ebmb_node *ebmb_next_dup(struct ebmb_node *ebmb) { return ebmb_entry(eb_next_dup(&ebmb->node), struct ebmb_node, node); } /* Return previous leaf node within a duplicate sub-tree, or NULL if none. */ static inline struct ebmb_node *ebmb_prev_dup(struct ebmb_node *ebmb) { return ebmb_entry(eb_prev_dup(&ebmb->node), struct ebmb_node, node); } /* Return next node in the tree, skipping duplicates, or NULL if none */ static forceinline struct ebmb_node *ebmb_next_unique(struct ebmb_node *ebmb) { return ebmb_entry(eb_next_unique(&ebmb->node), struct ebmb_node, node); } /* Return previous node in the tree, skipping duplicates, or NULL if none */ static forceinline struct ebmb_node *ebmb_prev_unique(struct ebmb_node *ebmb) { return ebmb_entry(eb_prev_unique(&ebmb->node), struct ebmb_node, node); } /* Delete node from the tree if it was linked in. Mark the node unused. Note * that this function relies on a non-inlined generic function: eb_delete. */ static forceinline void ebmb_delete(struct ebmb_node *ebmb) { eb_delete(&ebmb->node); } /* The following functions are not inlined by default. They are declared * in ebmbtree.c, which simply relies on their inline version. */ REGPRM3 struct ebmb_node *ebmb_lookup(struct eb_root *root, const void *x, unsigned int len); REGPRM3 struct ebmb_node *ebmb_insert(struct eb_root *root, struct ebmb_node *new, unsigned int len); REGPRM2 struct ebmb_node *ebmb_lookup_longest(struct eb_root *root, const void *x); REGPRM3 struct ebmb_node *ebmb_lookup_prefix(struct eb_root *root, const void *x, unsigned int pfx); REGPRM3 struct ebmb_node *ebmb_insert_prefix(struct eb_root *root, struct ebmb_node *new, unsigned int len); /* The following functions are less likely to be used directly, because their * code is larger. The non-inlined version is preferred. */ /* Delete node from the tree if it was linked in. Mark the node unused. */ static forceinline void __ebmb_delete(struct ebmb_node *ebmb) { __eb_delete(&ebmb->node); } /* Find the first occurence of a key of a least bytes matching in the * tree . The caller is responsible for ensuring that will not exceed * the common parts between the tree's keys and . In case of multiple matches, * the leftmost node is returned. This means that this function can be used to * lookup string keys by prefix if all keys in the tree are zero-terminated. If * no match is found, NULL is returned. Returns first node if is zero. */ static forceinline struct ebmb_node *__ebmb_lookup(struct eb_root *root, const void *x, unsigned int len) { struct ebmb_node *node; eb_troot_t *troot; int pos, side; int node_bit; troot = root->b[EB_LEFT]; if (unlikely(troot == NULL)) goto ret_null; if (unlikely(len == 0)) goto walk_down; pos = 0; while (1) { if (eb_gettag(troot) == EB_LEAF) { node = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); if (memcmp(node->key + pos, x, len) != 0) goto ret_null; else goto ret_node; } node = container_of(eb_untag(troot, EB_NODE), struct ebmb_node, node.branches); node_bit = node->node.bit; if (node_bit < 0) { /* We have a dup tree now. Either it's for the same * value, and we walk down left, or it's a different * one and we don't have our key. */ if (memcmp(node->key + pos, x, len) != 0) goto ret_null; else goto walk_left; } /* OK, normal data node, let's walk down. We check if all full * bytes are equal, and we start from the last one we did not * completely check. We stop as soon as we reach the last byte, * because we must decide to go left/right or abort. */ node_bit = ~node_bit + (pos << 3) + 8; // = (pos<<3) + (7 - node_bit) if (node_bit < 0) { /* This surprizing construction gives better performance * because gcc does not try to reorder the loop. Tested to * be fine with 2.95 to 4.2. */ while (1) { if (node->key[pos++] ^ *(unsigned char*)(x++)) goto ret_null; /* more than one full byte is different */ if (--len == 0) goto walk_left; /* return first node if all bytes matched */ node_bit += 8; if (node_bit >= 0) break; } } /* here we know that only the last byte differs, so node_bit < 8. * We have 2 possibilities : * - more than the last bit differs => return NULL * - walk down on side = (x[pos] >> node_bit) & 1 */ side = *(unsigned char *)x >> node_bit; if (((node->key[pos] >> node_bit) ^ side) > 1) goto ret_null; side &= 1; troot = node->node.branches.b[side]; } walk_left: troot = node->node.branches.b[EB_LEFT]; walk_down: while (eb_gettag(troot) != EB_LEAF) troot = (eb_untag(troot, EB_NODE))->b[EB_LEFT]; node = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); ret_node: return node; ret_null: return NULL; } /* Insert ebmb_node into subtree starting at node root . * Only new->key needs be set with the key. The ebmb_node is returned. * If root->b[EB_RGHT]==1, the tree may only contain unique keys. The * len is specified in bytes. It is absolutely mandatory that this length * is the same for all keys in the tree. This function cannot be used to * insert strings. */ static forceinline struct ebmb_node * __ebmb_insert(struct eb_root *root, struct ebmb_node *new, unsigned int len) { struct ebmb_node *old; unsigned int side; eb_troot_t *troot, **up_ptr; eb_troot_t *root_right; int diff; int bit; eb_troot_t *new_left, *new_rght; eb_troot_t *new_leaf; int old_node_bit; side = EB_LEFT; troot = root->b[EB_LEFT]; root_right = root->b[EB_RGHT]; if (unlikely(troot == NULL)) { /* Tree is empty, insert the leaf part below the left branch */ root->b[EB_LEFT] = eb_dotag(&new->node.branches, EB_LEAF); new->node.leaf_p = eb_dotag(root, EB_LEFT); new->node.node_p = NULL; /* node part unused */ return new; } /* The tree descent is fairly easy : * - first, check if we have reached a leaf node * - second, check if we have gone too far * - third, reiterate * Everywhere, we use for the node node we are inserting, * for the node we attach it to, and for the node we are * displacing below . will always point to the future node * (tagged with its type). carries the side the node is * attached to below its parent, which is also where previous node * was attached. */ bit = 0; while (1) { if (unlikely(eb_gettag(troot) == EB_LEAF)) { /* insert above a leaf */ old = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); new->node.node_p = old->node.leaf_p; up_ptr = &old->node.leaf_p; goto check_bit_and_break; } /* OK we're walking down this link */ old = container_of(eb_untag(troot, EB_NODE), struct ebmb_node, node.branches); old_node_bit = old->node.bit; if (unlikely(old->node.bit < 0)) { /* We're above a duplicate tree, so we must compare the whole value */ new->node.node_p = old->node.node_p; up_ptr = &old->node.node_p; check_bit_and_break: bit = equal_bits(new->key, old->key, bit, len << 3); break; } /* Stop going down when we don't have common bits anymore. We * also stop in front of a duplicates tree because it means we * have to insert above. Note: we can compare more bits than * the current node's because as long as they are identical, we * know we descend along the correct side. */ bit = equal_bits(new->key, old->key, bit, old_node_bit); if (unlikely(bit < old_node_bit)) { /* The tree did not contain the key, so we insert before the * node , and set ->bit to designate the lowest bit position in * which applies to ->branches.b[]. */ new->node.node_p = old->node.node_p; up_ptr = &old->node.node_p; break; } /* we don't want to skip bits for further comparisons, so we must limit . * However, since we're going down around , we know it will be * properly matched, so we can skip this bit. */ bit = old_node_bit + 1; /* walk down */ root = &old->node.branches; side = old_node_bit & 7; side ^= 7; side = (new->key[old_node_bit >> 3] >> side) & 1; troot = root->b[side]; } new_left = eb_dotag(&new->node.branches, EB_LEFT); new_rght = eb_dotag(&new->node.branches, EB_RGHT); new_leaf = eb_dotag(&new->node.branches, EB_LEAF); new->node.bit = bit; /* Note: we can compare more bits than the current node's because as * long as they are identical, we know we descend along the correct * side. However we don't want to start to compare past the end. */ diff = 0; if (((unsigned)bit >> 3) < len) diff = cmp_bits(new->key, old->key, bit); if (diff == 0) { new->node.bit = -1; /* mark as new dup tree, just in case */ if (likely(eb_gettag(root_right))) { /* we refuse to duplicate this key if the tree is * tagged as containing only unique keys. */ return old; } if (eb_gettag(troot) != EB_LEAF) { /* there was already a dup tree below */ struct eb_node *ret; ret = eb_insert_dup(&old->node, &new->node); return container_of(ret, struct ebmb_node, node); } /* otherwise fall through */ } if (diff >= 0) { new->node.branches.b[EB_LEFT] = troot; new->node.branches.b[EB_RGHT] = new_leaf; new->node.leaf_p = new_rght; *up_ptr = new_left; } else if (diff < 0) { new->node.branches.b[EB_LEFT] = new_leaf; new->node.branches.b[EB_RGHT] = troot; new->node.leaf_p = new_left; *up_ptr = new_rght; } /* Ok, now we are inserting between and . 's * parent is already set to , and the 's branch is still in * . Update the root's leaf till we have it. Note that we can also * find the side by checking the side of new->node.node_p. */ root->b[side] = eb_dotag(&new->node.branches, EB_NODE); return new; } /* Find the first occurence of the longest prefix matching a key in the * tree . It's the caller's responsibility to ensure that key is at * least as long as the keys in the tree. If none can be found, return NULL. */ static forceinline struct ebmb_node *__ebmb_lookup_longest(struct eb_root *root, const void *x) { struct ebmb_node *node; eb_troot_t *troot, *cover; int pos, side; int node_bit; troot = root->b[EB_LEFT]; if (unlikely(troot == NULL)) return NULL; cover = NULL; pos = 0; while (1) { if ((eb_gettag(troot) == EB_LEAF)) { node = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); if (check_bits(x - pos, node->key, pos, node->node.pfx)) goto not_found; return node; } node = container_of(eb_untag(troot, EB_NODE), struct ebmb_node, node.branches); node_bit = node->node.bit; if (node_bit < 0) { /* We have a dup tree now. Either it's for the same * value, and we walk down left, or it's a different * one and we don't have our key. */ if (check_bits(x - pos, node->key, pos, node->node.pfx)) goto not_found; troot = node->node.branches.b[EB_LEFT]; while (eb_gettag(troot) != EB_LEAF) troot = (eb_untag(troot, EB_NODE))->b[EB_LEFT]; node = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); return node; } node_bit >>= 1; /* strip cover bit */ node_bit = ~node_bit + (pos << 3) + 8; // = (pos<<3) + (7 - node_bit) if (node_bit < 0) { /* This uncommon construction gives better performance * because gcc does not try to reorder the loop. Tested to * be fine with 2.95 to 4.2. */ while (1) { x++; pos++; if (node->key[pos-1] ^ *(unsigned char*)(x-1)) goto not_found; /* more than one full byte is different */ node_bit += 8; if (node_bit >= 0) break; } } /* here we know that only the last byte differs, so 0 <= node_bit <= 7. * We have 2 possibilities : * - more than the last bit differs => data does not match * - walk down on side = (x[pos] >> node_bit) & 1 */ side = *(unsigned char *)x >> node_bit; if (((node->key[pos] >> node_bit) ^ side) > 1) goto not_found; if (!(node->node.bit & 1)) { /* This is a cover node, let's keep a reference to it * for later. The covering subtree is on the left, and * the covered subtree is on the right, so we have to * walk down right. */ cover = node->node.branches.b[EB_LEFT]; troot = node->node.branches.b[EB_RGHT]; continue; } side &= 1; troot = node->node.branches.b[side]; } not_found: /* Walk down last cover tre if it exists. It does not matter if cover is NULL */ return ebmb_entry(eb_walk_down(cover, EB_LEFT), struct ebmb_node, node); } /* Find the first occurence of a prefix matching a key of BITS in the * tree . It's the caller's responsibility to ensure that key is at * least as long as the keys in the tree. If none can be found, return NULL. */ static forceinline struct ebmb_node *__ebmb_lookup_prefix(struct eb_root *root, const void *x, unsigned int pfx) { struct ebmb_node *node; eb_troot_t *troot; int pos, side; int node_bit; troot = root->b[EB_LEFT]; if (unlikely(troot == NULL)) return NULL; pos = 0; while (1) { if ((eb_gettag(troot) == EB_LEAF)) { node = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); if (node->node.pfx != pfx) return NULL; if (check_bits(x - pos, node->key, pos, node->node.pfx)) return NULL; return node; } node = container_of(eb_untag(troot, EB_NODE), struct ebmb_node, node.branches); node_bit = node->node.bit; if (node_bit < 0) { /* We have a dup tree now. Either it's for the same * value, and we walk down left, or it's a different * one and we don't have our key. */ if (node->node.pfx != pfx) return NULL; if (check_bits(x - pos, node->key, pos, node->node.pfx)) return NULL; troot = node->node.branches.b[EB_LEFT]; while (eb_gettag(troot) != EB_LEAF) troot = (eb_untag(troot, EB_NODE))->b[EB_LEFT]; node = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); return node; } node_bit >>= 1; /* strip cover bit */ node_bit = ~node_bit + (pos << 3) + 8; // = (pos<<3) + (7 - node_bit) if (node_bit < 0) { /* This uncommon construction gives better performance * because gcc does not try to reorder the loop. Tested to * be fine with 2.95 to 4.2. */ while (1) { x++; pos++; if (node->key[pos-1] ^ *(unsigned char*)(x-1)) return NULL; /* more than one full byte is different */ node_bit += 8; if (node_bit >= 0) break; } } /* here we know that only the last byte differs, so 0 <= node_bit <= 7. * We have 2 possibilities : * - more than the last bit differs => data does not match * - walk down on side = (x[pos] >> node_bit) & 1 */ side = *(unsigned char *)x >> node_bit; if (((node->key[pos] >> node_bit) ^ side) > 1) return NULL; if (!(node->node.bit & 1)) { /* This is a cover node, it may be the entry we're * looking for. We already know that it matches all the * bits, let's compare prefixes and descend the cover * subtree if they match. */ if ((unsigned short)node->node.bit >> 1 == pfx) troot = node->node.branches.b[EB_LEFT]; else troot = node->node.branches.b[EB_RGHT]; continue; } side &= 1; troot = node->node.branches.b[side]; } } /* Insert ebmb_node into a prefix subtree starting at node root . * Only new->key and new->pfx need be set with the key and its prefix length. * Note that bits between and are theorically ignored and should be * zero, as it is not certain yet that they will always be ignored everywhere * (eg in bit compare functions). * The ebmb_node is returned. * If root->b[EB_RGHT]==1, the tree may only contain unique keys. The * len is specified in bytes. */ static forceinline struct ebmb_node * __ebmb_insert_prefix(struct eb_root *root, struct ebmb_node *new, unsigned int len) { struct ebmb_node *old; unsigned int side; eb_troot_t *troot, **up_ptr; eb_troot_t *root_right; int diff; int bit; eb_troot_t *new_left, *new_rght; eb_troot_t *new_leaf; int old_node_bit; side = EB_LEFT; troot = root->b[EB_LEFT]; root_right = root->b[EB_RGHT]; if (unlikely(troot == NULL)) { /* Tree is empty, insert the leaf part below the left branch */ root->b[EB_LEFT] = eb_dotag(&new->node.branches, EB_LEAF); new->node.leaf_p = eb_dotag(root, EB_LEFT); new->node.node_p = NULL; /* node part unused */ return new; } len <<= 3; if (len > new->node.pfx) len = new->node.pfx; /* The tree descent is fairly easy : * - first, check if we have reached a leaf node * - second, check if we have gone too far * - third, reiterate * Everywhere, we use for the node node we are inserting, * for the node we attach it to, and for the node we are * displacing below . will always point to the future node * (tagged with its type). carries the side the node is * attached to below its parent, which is also where previous node * was attached. */ bit = 0; while (1) { if (unlikely(eb_gettag(troot) == EB_LEAF)) { /* Insert above a leaf. Note that this leaf could very * well be part of a cover node. */ old = container_of(eb_untag(troot, EB_LEAF), struct ebmb_node, node.branches); new->node.node_p = old->node.leaf_p; up_ptr = &old->node.leaf_p; goto check_bit_and_break; } /* OK we're walking down this link */ old = container_of(eb_untag(troot, EB_NODE), struct ebmb_node, node.branches); old_node_bit = old->node.bit; /* Note that old_node_bit can be : * < 0 : dup tree * = 2N : cover node for N bits * = 2N+1 : normal node at N bits */ if (unlikely(old_node_bit < 0)) { /* We're above a duplicate tree, so we must compare the whole value */ new->node.node_p = old->node.node_p; up_ptr = &old->node.node_p; check_bit_and_break: /* No need to compare everything if the leaves are shorter than the new one. */ if (len > old->node.pfx) len = old->node.pfx; bit = equal_bits(new->key, old->key, bit, len); break; } /* WARNING: for the two blocks below, is counted in half-bits */ bit = equal_bits(new->key, old->key, bit, old_node_bit >> 1); bit = (bit << 1) + 1; // assume comparisons with normal nodes /* we must always check that our prefix is larger than the nodes * we visit, otherwise we have to stop going down. The following * test is able to stop before both normal and cover nodes. */ if (bit >= (new->node.pfx << 1) && (new->node.pfx << 1) < old_node_bit) { /* insert cover node here on the left */ new->node.node_p = old->node.node_p; up_ptr = &old->node.node_p; new->node.bit = new->node.pfx << 1; diff = -1; goto insert_above; } if (unlikely(bit < old_node_bit)) { /* The tree did not contain the key, so we insert before the * node , and set ->bit to designate the lowest bit position in * which applies to ->branches.b[]. We know that the bit is not * greater than the prefix length thanks to the test above. */ new->node.node_p = old->node.node_p; up_ptr = &old->node.node_p; new->node.bit = bit; diff = cmp_bits(new->key, old->key, bit >> 1); goto insert_above; } if (!(old_node_bit & 1)) { /* if we encounter a cover node with our exact prefix length, it's * necessarily the same value, so we insert there as a duplicate on * the left. For that, we go down on the left and the leaf detection * code will finish the job. */ if ((new->node.pfx << 1) == old_node_bit) { root = &old->node.branches; side = EB_LEFT; troot = root->b[side]; continue; } /* cover nodes are always walked through on the right */ side = EB_RGHT; bit = old_node_bit >> 1; /* recheck that bit */ root = &old->node.branches; troot = root->b[side]; continue; } /* we don't want to skip bits for further comparisons, so we must limit . * However, since we're going down around , we know it will be * properly matched, so we can skip this bit. */ old_node_bit >>= 1; bit = old_node_bit + 1; /* walk down */ root = &old->node.branches; side = old_node_bit & 7; side ^= 7; side = (new->key[old_node_bit >> 3] >> side) & 1; troot = root->b[side]; } /* Right here, we have 4 possibilities : * - the tree does not contain any leaf matching the * key, and we have new->key < old->key. We insert * new above old, on the left ; * * - the tree does not contain any leaf matching the * key, and we have new->key > old->key. We insert * new above old, on the right ; * * - the tree does contain the key with the same prefix * length. We add the new key next to it as a first * duplicate (since it was alone). * * The last two cases can easily be partially merged. * * - the tree contains a leaf matching the key, we have * to insert above it as a cover node. The leaf with * the shortest prefix becomes the left subtree and * the leaf with the longest prefix becomes the right * one. The cover node gets the min of both prefixes * as its new bit. */ /* first we want to ensure that we compare the correct bit, which means * the largest common to both nodes. */ if (bit > new->node.pfx) bit = new->node.pfx; if (bit > old->node.pfx) bit = old->node.pfx; new->node.bit = (bit << 1) + 1; /* assume normal node by default */ /* if one prefix is included in the second one, we don't compare bits * because they won't necessarily match, we just proceed with a cover * node insertion. */ diff = 0; if (bit < old->node.pfx && bit < new->node.pfx) diff = cmp_bits(new->key, old->key, bit); if (diff == 0) { /* Both keys match. Either it's a duplicate entry or we have to * put the shortest prefix left and the largest one right below * a new cover node. By default, diff==0 means we'll be inserted * on the right. */ new->node.bit--; /* anticipate cover node insertion */ if (new->node.pfx == old->node.pfx) { new->node.bit = -1; /* mark as new dup tree, just in case */ if (unlikely(eb_gettag(root_right))) { /* we refuse to duplicate this key if the tree is * tagged as containing only unique keys. */ return old; } if (eb_gettag(troot) != EB_LEAF) { /* there was already a dup tree below */ struct eb_node *ret; ret = eb_insert_dup(&old->node, &new->node); return container_of(ret, struct ebmb_node, node); } /* otherwise fall through to insert first duplicate */ } /* otherwise we just rely on the tests below to select the right side */ else if (new->node.pfx < old->node.pfx) diff = -1; /* force insertion to left side */ } insert_above: new_left = eb_dotag(&new->node.branches, EB_LEFT); new_rght = eb_dotag(&new->node.branches, EB_RGHT); new_leaf = eb_dotag(&new->node.branches, EB_LEAF); if (diff >= 0) { new->node.branches.b[EB_LEFT] = troot; new->node.branches.b[EB_RGHT] = new_leaf; new->node.leaf_p = new_rght; *up_ptr = new_left; } else { new->node.branches.b[EB_LEFT] = new_leaf; new->node.branches.b[EB_RGHT] = troot; new->node.leaf_p = new_left; *up_ptr = new_rght; } root->b[side] = eb_dotag(&new->node.branches, EB_NODE); return new; } #endif /* _EBMBTREE_H */