| /* |
| * Elastic Binary Trees - macros and structures for operations on 32bit nodes. |
| * Version 6.0.6 |
| * (C) 2002-2011 - Willy Tarreau <w@1wt.eu> |
| * |
| * 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 _EB32TREE_H |
| #define _EB32TREE_H |
| |
| #include "ebtree.h" |
| |
| |
| /* Return the structure of type <type> whose member <member> points to <ptr> */ |
| #define eb32_entry(ptr, type, member) container_of(ptr, type, member) |
| |
| /* |
| * 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 inline struct eb32_node *eb32_first(struct eb_root *root) |
| { |
| return eb32_entry(eb_first(root), struct eb32_node, node); |
| } |
| |
| /* Return rightmost node in the tree, or NULL if none */ |
| static inline struct eb32_node *eb32_last(struct eb_root *root) |
| { |
| return eb32_entry(eb_last(root), struct eb32_node, node); |
| } |
| |
| /* Return next node in the tree, or NULL if none */ |
| static inline struct eb32_node *eb32_next(struct eb32_node *eb32) |
| { |
| return eb32_entry(eb_next(&eb32->node), struct eb32_node, node); |
| } |
| |
| /* Return previous node in the tree, or NULL if none */ |
| static inline struct eb32_node *eb32_prev(struct eb32_node *eb32) |
| { |
| return eb32_entry(eb_prev(&eb32->node), struct eb32_node, node); |
| } |
| |
| /* Return next leaf node within a duplicate sub-tree, or NULL if none. */ |
| static inline struct eb32_node *eb32_next_dup(struct eb32_node *eb32) |
| { |
| return eb32_entry(eb_next_dup(&eb32->node), struct eb32_node, node); |
| } |
| |
| /* Return previous leaf node within a duplicate sub-tree, or NULL if none. */ |
| static inline struct eb32_node *eb32_prev_dup(struct eb32_node *eb32) |
| { |
| return eb32_entry(eb_prev_dup(&eb32->node), struct eb32_node, node); |
| } |
| |
| /* Return next node in the tree, skipping duplicates, or NULL if none */ |
| static inline struct eb32_node *eb32_next_unique(struct eb32_node *eb32) |
| { |
| return eb32_entry(eb_next_unique(&eb32->node), struct eb32_node, node); |
| } |
| |
| /* Return previous node in the tree, skipping duplicates, or NULL if none */ |
| static inline struct eb32_node *eb32_prev_unique(struct eb32_node *eb32) |
| { |
| return eb32_entry(eb_prev_unique(&eb32->node), struct eb32_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 inline void eb32_delete(struct eb32_node *eb32) |
| { |
| eb_delete(&eb32->node); |
| } |
| |
| /* |
| * The following functions are not inlined by default. They are declared |
| * in eb32tree.c, which simply relies on their inline version. |
| */ |
| struct eb32_node *eb32_lookup(struct eb_root *root, u32 x); |
| struct eb32_node *eb32i_lookup(struct eb_root *root, s32 x); |
| struct eb32_node *eb32_lookup_le(struct eb_root *root, u32 x); |
| struct eb32_node *eb32_lookup_ge(struct eb_root *root, u32 x); |
| struct eb32_node *eb32_insert(struct eb_root *root, struct eb32_node *new); |
| struct eb32_node *eb32i_insert(struct eb_root *root, struct eb32_node *new); |
| |
| /* |
| * 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 __eb32_delete(struct eb32_node *eb32) |
| { |
| __eb_delete(&eb32->node); |
| } |
| |
| /* |
| * Find the first occurrence of a key in the tree <root>. If none can be |
| * found, return NULL. |
| */ |
| static forceinline struct eb32_node *__eb32_lookup(struct eb_root *root, u32 x) |
| { |
| struct eb32_node *node; |
| eb_troot_t *troot; |
| u32 y; |
| int node_bit; |
| |
| troot = root->b[EB_LEFT]; |
| if (unlikely(troot == NULL)) |
| return NULL; |
| |
| while (1) { |
| if ((eb_gettag(troot) == EB_LEAF)) { |
| node = container_of(eb_untag(troot, EB_LEAF), |
| struct eb32_node, node.branches); |
| if (node->key == x) |
| return node; |
| else |
| return NULL; |
| } |
| node = container_of(eb_untag(troot, EB_NODE), |
| struct eb32_node, node.branches); |
| node_bit = node->node.bit; |
| |
| y = node->key ^ x; |
| if (!y) { |
| /* Either we found the node which holds the key, or |
| * we have a dup tree. In the later case, we have to |
| * walk it down left to get the first entry. |
| */ |
| if (node_bit < 0) { |
| 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 eb32_node, node.branches); |
| } |
| return node; |
| } |
| |
| if ((y >> node_bit) >= EB_NODE_BRANCHES) |
| return NULL; /* no more common bits */ |
| |
| troot = node->node.branches.b[(x >> node_bit) & EB_NODE_BRANCH_MASK]; |
| } |
| } |
| |
| /* |
| * Find the first occurrence of a signed key in the tree <root>. If none can |
| * be found, return NULL. |
| */ |
| static forceinline struct eb32_node *__eb32i_lookup(struct eb_root *root, s32 x) |
| { |
| struct eb32_node *node; |
| eb_troot_t *troot; |
| u32 key = x ^ 0x80000000; |
| u32 y; |
| int node_bit; |
| |
| troot = root->b[EB_LEFT]; |
| if (unlikely(troot == NULL)) |
| return NULL; |
| |
| while (1) { |
| if ((eb_gettag(troot) == EB_LEAF)) { |
| node = container_of(eb_untag(troot, EB_LEAF), |
| struct eb32_node, node.branches); |
| if (node->key == (u32)x) |
| return node; |
| else |
| return NULL; |
| } |
| node = container_of(eb_untag(troot, EB_NODE), |
| struct eb32_node, node.branches); |
| node_bit = node->node.bit; |
| |
| y = node->key ^ x; |
| if (!y) { |
| /* Either we found the node which holds the key, or |
| * we have a dup tree. In the later case, we have to |
| * walk it down left to get the first entry. |
| */ |
| if (node_bit < 0) { |
| 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 eb32_node, node.branches); |
| } |
| return node; |
| } |
| |
| if ((y >> node_bit) >= EB_NODE_BRANCHES) |
| return NULL; /* no more common bits */ |
| |
| troot = node->node.branches.b[(key >> node_bit) & EB_NODE_BRANCH_MASK]; |
| } |
| } |
| |
| /* Insert eb32_node <new> into subtree starting at node root <root>. |
| * Only new->key needs be set with the key. The eb32_node is returned. |
| * If root->b[EB_RGHT]==1, the tree may only contain unique keys. |
| */ |
| static forceinline struct eb32_node * |
| __eb32_insert(struct eb_root *root, struct eb32_node *new) { |
| struct eb32_node *old; |
| unsigned int side; |
| eb_troot_t *troot, **up_ptr; |
| u32 newkey; /* caching the key saves approximately one cycle */ |
| eb_troot_t *root_right; |
| 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 <new> for the node node we are inserting, <root> |
| * for the node we attach it to, and <old> for the node we are |
| * displacing below <new>. <troot> will always point to the future node |
| * (tagged with its type). <side> carries the side the node <new> is |
| * attached to below its parent, which is also where previous node |
| * was attached. <newkey> carries the key being inserted. |
| */ |
| newkey = new->key; |
| |
| while (1) { |
| if (eb_gettag(troot) == EB_LEAF) { |
| /* insert above a leaf */ |
| old = container_of(eb_untag(troot, EB_LEAF), |
| struct eb32_node, node.branches); |
| new->node.node_p = old->node.leaf_p; |
| up_ptr = &old->node.leaf_p; |
| break; |
| } |
| |
| /* OK we're walking down this link */ |
| old = container_of(eb_untag(troot, EB_NODE), |
| struct eb32_node, node.branches); |
| old_node_bit = old->node.bit; |
| |
| /* 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. |
| */ |
| |
| if ((old_node_bit < 0) || /* we're above a duplicate tree, stop here */ |
| (((new->key ^ old->key) >> old_node_bit) >= EB_NODE_BRANCHES)) { |
| /* The tree did not contain the key, so we insert <new> before the node |
| * <old>, and set ->bit to designate the lowest bit position in <new> |
| * which applies to ->branches.b[]. |
| */ |
| new->node.node_p = old->node.node_p; |
| up_ptr = &old->node.node_p; |
| break; |
| } |
| |
| /* walk down */ |
| root = &old->node.branches; |
| side = (newkey >> old_node_bit) & EB_NODE_BRANCH_MASK; |
| 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); |
| |
| /* We need the common higher bits between new->key and old->key. |
| * What differences are there between new->key and the node here ? |
| * NOTE that bit(new) is always < bit(root) because highest |
| * bit of new->key and old->key are identical here (otherwise they |
| * would sit on different branches). |
| */ |
| |
| // note that if EB_NODE_BITS > 1, we should check that it's still >= 0 |
| new->node.bit = flsnz(new->key ^ old->key) - EB_NODE_BITS; |
| |
| if (new->key == old->key) { |
| 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 eb32_node, node); |
| } |
| /* otherwise fall through */ |
| } |
| |
| if (new->key >= old->key) { |
| 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; |
| } |
| |
| /* Ok, now we are inserting <new> between <root> and <old>. <old>'s |
| * parent is already set to <new>, and the <root>'s branch is still in |
| * <side>. 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; |
| } |
| |
| /* Insert eb32_node <new> into subtree starting at node root <root>, using |
| * signed keys. Only new->key needs be set with the key. The eb32_node |
| * is returned. If root->b[EB_RGHT]==1, the tree may only contain unique keys. |
| */ |
| static forceinline struct eb32_node * |
| __eb32i_insert(struct eb_root *root, struct eb32_node *new) { |
| struct eb32_node *old; |
| unsigned int side; |
| eb_troot_t *troot, **up_ptr; |
| int newkey; /* caching the key saves approximately one cycle */ |
| eb_troot_t *root_right; |
| 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 <new> for the node node we are inserting, <root> |
| * for the node we attach it to, and <old> for the node we are |
| * displacing below <new>. <troot> will always point to the future node |
| * (tagged with its type). <side> carries the side the node <new> is |
| * attached to below its parent, which is also where previous node |
| * was attached. <newkey> carries a high bit shift of the key being |
| * inserted in order to have negative keys stored before positive |
| * ones. |
| */ |
| newkey = new->key + 0x80000000; |
| |
| while (1) { |
| if (eb_gettag(troot) == EB_LEAF) { |
| old = container_of(eb_untag(troot, EB_LEAF), |
| struct eb32_node, node.branches); |
| new->node.node_p = old->node.leaf_p; |
| up_ptr = &old->node.leaf_p; |
| break; |
| } |
| |
| /* OK we're walking down this link */ |
| old = container_of(eb_untag(troot, EB_NODE), |
| struct eb32_node, node.branches); |
| old_node_bit = old->node.bit; |
| |
| /* 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. |
| */ |
| |
| if ((old_node_bit < 0) || /* we're above a duplicate tree, stop here */ |
| (((new->key ^ old->key) >> old_node_bit) >= EB_NODE_BRANCHES)) { |
| /* The tree did not contain the key, so we insert <new> before the node |
| * <old>, and set ->bit to designate the lowest bit position in <new> |
| * which applies to ->branches.b[]. |
| */ |
| new->node.node_p = old->node.node_p; |
| up_ptr = &old->node.node_p; |
| break; |
| } |
| |
| /* walk down */ |
| root = &old->node.branches; |
| side = (newkey >> old_node_bit) & EB_NODE_BRANCH_MASK; |
| 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); |
| |
| /* We need the common higher bits between new->key and old->key. |
| * What differences are there between new->key and the node here ? |
| * NOTE that bit(new) is always < bit(root) because highest |
| * bit of new->key and old->key are identical here (otherwise they |
| * would sit on different branches). |
| */ |
| |
| // note that if EB_NODE_BITS > 1, we should check that it's still >= 0 |
| new->node.bit = flsnz(new->key ^ old->key) - EB_NODE_BITS; |
| |
| if (new->key == old->key) { |
| 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 eb32_node, node); |
| } |
| /* otherwise fall through */ |
| } |
| |
| if ((s32)new->key >= (s32)old->key) { |
| 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; |
| } |
| |
| /* Ok, now we are inserting <new> between <root> and <old>. <old>'s |
| * parent is already set to <new>, and the <root>'s branch is still in |
| * <side>. 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; |
| } |
| |
| #endif /* _EB32_TREE_H */ |