/* * Copyright (C) 2011 Red Hat, Inc. * * This file is released under the GPL. */ #include "dm-btree.h" #include "dm-btree-internal.h" #include "dm-transaction-manager.h" #include /* * Removing an entry from a btree * ============================== * * A very important constraint for our btree is that no node, except the * root, may have fewer than a certain number of entries. * (MIN_ENTRIES <= nr_entries <= MAX_ENTRIES). * * Ensuring this is complicated by the way we want to only ever hold the * locks on 2 nodes concurrently, and only change nodes in a top to bottom * fashion. * * Each node may have a left or right sibling. When decending the spine, * if a node contains only MIN_ENTRIES then we try and increase this to at * least MIN_ENTRIES + 1. We do this in the following ways: * * [A] No siblings => this can only happen if the node is the root, in which * case we copy the childs contents over the root. * * [B] No left sibling * ==> rebalance(node, right sibling) * * [C] No right sibling * ==> rebalance(left sibling, node) * * [D] Both siblings, total_entries(left, node, right) <= DEL_THRESHOLD * ==> delete node adding it's contents to left and right * * [E] Both siblings, total_entries(left, node, right) > DEL_THRESHOLD * ==> rebalance(left, node, right) * * After these operations it's possible that the our original node no * longer contains the desired sub tree. For this reason this rebalancing * is performed on the children of the current node. This also avoids * having a special case for the root. * * Once this rebalancing has occurred we can then step into the child node * for internal nodes. Or delete the entry for leaf nodes. */ /* * Some little utilities for moving node data around. */ static void node_shift(struct node *n, int shift) { uint32_t nr_entries = le32_to_cpu(n->header.nr_entries); uint32_t value_size = le32_to_cpu(n->header.value_size); if (shift < 0) { shift = -shift; BUG_ON(shift > nr_entries); BUG_ON((void *) key_ptr(n, shift) >= value_ptr(n, shift, value_size)); memmove(key_ptr(n, 0), key_ptr(n, shift), (nr_entries - shift) * sizeof(__le64)); memmove(value_ptr(n, 0, value_size), value_ptr(n, shift, value_size), (nr_entries - shift) * value_size); } else { BUG_ON(nr_entries + shift > le32_to_cpu(n->header.max_entries)); memmove(key_ptr(n, shift), key_ptr(n, 0), nr_entries * sizeof(__le64)); memmove(value_ptr(n, shift, value_size), value_ptr(n, 0, value_size), nr_entries * value_size); } } static void node_copy(struct node *left, struct node *right, int shift) { uint32_t nr_left = le32_to_cpu(left->header.nr_entries); uint32_t value_size = le32_to_cpu(left->header.value_size); BUG_ON(value_size != le32_to_cpu(right->header.value_size)); if (shift < 0) { shift = -shift; BUG_ON(nr_left + shift > le32_to_cpu(left->header.max_entries)); memcpy(key_ptr(left, nr_left), key_ptr(right, 0), shift * sizeof(__le64)); memcpy(value_ptr(left, nr_left, value_size), value_ptr(right, 0, value_size), shift * value_size); } else { BUG_ON(shift > le32_to_cpu(right->header.max_entries)); memcpy(key_ptr(right, 0), key_ptr(left, nr_left - shift), shift * sizeof(__le64)); memcpy(value_ptr(right, 0, value_size), value_ptr(left, nr_left - shift, value_size), shift * value_size); } } /* * Delete a specific entry from a leaf node. */ static void delete_at(struct node *n, unsigned index) { unsigned nr_entries = le32_to_cpu(n->header.nr_entries); unsigned nr_to_copy = nr_entries - (index + 1); uint32_t value_size = le32_to_cpu(n->header.value_size); BUG_ON(index >= nr_entries); if (nr_to_copy) { memmove(key_ptr(n, index), key_ptr(n, index + 1), nr_to_copy * sizeof(__le64)); memmove(value_ptr(n, index, value_size), value_ptr(n, index + 1, value_size), nr_to_copy * value_size); } n->header.nr_entries = cpu_to_le32(nr_entries - 1); } static unsigned del_threshold(struct node *n) { return le32_to_cpu(n->header.max_entries) / 3; } static unsigned merge_threshold(struct node *n) { /* * The extra one is because we know we're potentially going to * delete an entry. */ return 2 * (le32_to_cpu(n->header.max_entries) / 3) + 1; } struct child { unsigned index; struct dm_block *block; struct node *n; }; static struct dm_btree_value_type le64_type = { .context = NULL, .size = sizeof(__le64), .inc = NULL, .dec = NULL, .equal = NULL }; static int init_child(struct dm_btree_info *info, struct node *parent, unsigned index, struct child *result) { int r, inc; dm_block_t root; result->index = index; root = value64(parent, index); r = dm_tm_shadow_block(info->tm, root, &btree_node_validator, &result->block, &inc); if (r) return r; result->n = dm_block_data(result->block); if (inc) inc_children(info->tm, result->n, &le64_type); *((__le64 *) value_ptr(parent, index, sizeof(__le64))) = cpu_to_le64(dm_block_location(result->block)); return 0; } static int exit_child(struct dm_btree_info *info, struct child *c) { return dm_tm_unlock(info->tm, c->block); } static void shift(struct node *left, struct node *right, int count) { if (!count) return; if (count > 0) { node_shift(right, count); node_copy(left, right, count); } else { node_copy(left, right, count); node_shift(right, count); } left->header.nr_entries = cpu_to_le32(le32_to_cpu(left->header.nr_entries) - count); BUG_ON(le32_to_cpu(left->header.nr_entries) > le32_to_cpu(left->header.max_entries)); right->header.nr_entries = cpu_to_le32(le32_to_cpu(right->header.nr_entries) + count); BUG_ON(le32_to_cpu(right->header.nr_entries) > le32_to_cpu(right->header.max_entries)); } static void __rebalance2(struct dm_btree_info *info, struct node *parent, struct child *l, struct child *r) { struct node *left = l->n; struct node *right = r->n; uint32_t nr_left = le32_to_cpu(left->header.nr_entries); uint32_t nr_right = le32_to_cpu(right->header.nr_entries); if (nr_left + nr_right <= merge_threshold(left)) { /* * Merge */ node_copy(left, right, -nr_right); left->header.nr_entries = cpu_to_le32(nr_left + nr_right); delete_at(parent, r->index); /* * We need to decrement the right block, but not it's * children, since they're still referenced by left. */ dm_tm_dec(info->tm, dm_block_location(r->block)); } else { /* * Rebalance. */ unsigned target_left = (nr_left + nr_right) / 2; unsigned shift_ = nr_left - target_left; BUG_ON(le32_to_cpu(left->header.max_entries) <= nr_left - shift_); BUG_ON(le32_to_cpu(right->header.max_entries) <= nr_right + shift_); shift(left, right, nr_left - target_left); *key_ptr(parent, r->index) = right->keys[0]; } } static int rebalance2(struct shadow_spine *s, struct dm_btree_info *info, unsigned left_index) { int r; struct node *parent; struct child left, right; parent = dm_block_data(shadow_current(s)); r = init_child(info, parent, left_index, &left); if (r) return r; r = init_child(info, parent, left_index + 1, &right); if (r) { exit_child(info, &left); return r; } __rebalance2(info, parent, &left, &right); r = exit_child(info, &left); if (r) { exit_child(info, &right); return r; } return exit_child(info, &right); } static void __rebalance3(struct dm_btree_info *info, struct node *parent, struct child *l, struct child *c, struct child *r) { struct node *left = l->n; struct node *center = c->n; struct node *right = r->n; uint32_t nr_left = le32_to_cpu(left->header.nr_entries); uint32_t nr_center = le32_to_cpu(center->header.nr_entries); uint32_t nr_right = le32_to_cpu(right->header.nr_entries); uint32_t max_entries = le32_to_cpu(left->header.max_entries); unsigned target; BUG_ON(left->header.max_entries != center->header.max_entries); BUG_ON(center->header.max_entries != right->header.max_entries); if (((nr_left + nr_center + nr_right) / 2) < merge_threshold(center)) { /* * Delete center node: * * We dump as many entries from center as possible into * left, then the rest in right, then rebalance2. This * wastes some cpu, but I want something simple atm. */ unsigned shift = min(max_entries - nr_left, nr_center); BUG_ON(nr_left + shift > max_entries); node_copy(left, center, -shift); left->header.nr_entries = cpu_to_le32(nr_left + shift); if (shift != nr_center) { shift = nr_center - shift; BUG_ON((nr_right + shift) >= max_entries); node_shift(right, shift); node_copy(center, right, shift); right->header.nr_entries = cpu_to_le32(nr_right + shift); } *key_ptr(parent, r->index) = right->keys[0]; delete_at(parent, c->index); r->index--; dm_tm_dec(info->tm, dm_block_location(c->block)); __rebalance2(info, parent, l, r); return; } /* * Rebalance */ target = (nr_left + nr_center + nr_right) / 3; BUG_ON(target > max_entries); /* * Adjust the left node */ shift(left, center, nr_left - target); /* * Adjust the right node */ shift(center, right, target - nr_right); *key_ptr(parent, c->index) = center->keys[0]; *key_ptr(parent, r->index) = right->keys[0]; } static int rebalance3(struct shadow_spine *s, struct dm_btree_info *info, unsigned left_index) { int r; struct node *parent = dm_block_data(shadow_current(s)); struct child left, center, right; /* * FIXME: fill out an array? */ r = init_child(info, parent, left_index, &left); if (r) return r; r = init_child(info, parent, left_index + 1, ¢er); if (r) { exit_child(info, &left); return r; } r = init_child(info, parent, left_index + 2, &right); if (r) { exit_child(info, &left); exit_child(info, ¢er); return r; } __rebalance3(info, parent, &left, ¢er, &right); r = exit_child(info, &left); if (r) { exit_child(info, ¢er); exit_child(info, &right); return r; } r = exit_child(info, ¢er); if (r) { exit_child(info, &right); return r; } r = exit_child(info, &right); if (r) return r; return 0; } static int get_nr_entries(struct dm_transaction_manager *tm, dm_block_t b, uint32_t *result) { int r; struct dm_block *block; struct node *n; r = dm_tm_read_lock(tm, b, &btree_node_validator, &block); if (r) return r; n = dm_block_data(block); *result = le32_to_cpu(n->header.nr_entries); return dm_tm_unlock(tm, block); } static int rebalance_children(struct shadow_spine *s, struct dm_btree_info *info, uint64_t key) { int i, r, has_left_sibling, has_right_sibling; uint32_t child_entries; struct node *n; n = dm_block_data(shadow_current(s)); if (le32_to_cpu(n->header.nr_entries) == 1) { struct dm_block *child; dm_block_t b = value64(n, 0); r = dm_tm_read_lock(info->tm, b, &btree_node_validator, &child); if (r) return r; memcpy(n, dm_block_data(child), dm_bm_block_size(dm_tm_get_bm(info->tm))); r = dm_tm_unlock(info->tm, child); if (r) return r; dm_tm_dec(info->tm, dm_block_location(child)); return 0; } i = lower_bound(n, key); if (i < 0) return -ENODATA; r = get_nr_entries(info->tm, value64(n, i), &child_entries); if (r) return r; if (child_entries > del_threshold(n)) return 0; has_left_sibling = i > 0; has_right_sibling = i < (le32_to_cpu(n->header.nr_entries) - 1); if (!has_left_sibling) r = rebalance2(s, info, i); else if (!has_right_sibling) r = rebalance2(s, info, i - 1); else r = rebalance3(s, info, i - 1); return r; } static int do_leaf(struct node *n, uint64_t key, unsigned *index) { int i = lower_bound(n, key); if ((i < 0) || (i >= le32_to_cpu(n->header.nr_entries)) || (le64_to_cpu(n->keys[i]) != key)) return -ENODATA; *index = i; return 0; } /* * Prepares for removal from one level of the hierarchy. The caller must * call delete_at() to remove the entry at index. */ static int remove_raw(struct shadow_spine *s, struct dm_btree_info *info, struct dm_btree_value_type *vt, dm_block_t root, uint64_t key, unsigned *index) { int i = *index, r; struct node *n; for (;;) { r = shadow_step(s, root, vt); if (r < 0) break; /* * We have to patch up the parent node, ugly, but I don't * see a way to do this automatically as part of the spine * op. */ if (shadow_has_parent(s)) { __le64 location = cpu_to_le64(dm_block_location(shadow_current(s))); memcpy(value_ptr(dm_block_data(shadow_parent(s)), i, sizeof(__le64)), &location, sizeof(__le64)); } n = dm_block_data(shadow_current(s)); if (le32_to_cpu(n->header.flags) & LEAF_NODE) return do_leaf(n, key, index); r = rebalance_children(s, info, key); if (r) break; n = dm_block_data(shadow_current(s)); if (le32_to_cpu(n->header.flags) & LEAF_NODE) return do_leaf(n, key, index); i = lower_bound(n, key); /* * We know the key is present, or else * rebalance_children would have returned * -ENODATA */ root = value64(n, i); } return r; } int dm_btree_remove(struct dm_btree_info *info, dm_block_t root, uint64_t *keys, dm_block_t *new_root) { unsigned level, last_level = info->levels - 1; int index = 0, r = 0; struct shadow_spine spine; struct node *n; init_shadow_spine(&spine, info); for (level = 0; level < info->levels; level++) { r = remove_raw(&spine, info, (level == last_level ? &info->value_type : &le64_type), root, keys[level], (unsigned *)&index); if (r < 0) break; n = dm_block_data(shadow_current(&spine)); if (level != last_level) { root = value64(n, index); continue; } BUG_ON(index < 0 || index >= le32_to_cpu(n->header.nr_entries)); if (info->value_type.dec) info->value_type.dec(info->value_type.context, value_ptr(n, index, info->value_type.size)); delete_at(n, index); } *new_root = shadow_root(&spine); exit_shadow_spine(&spine); return r; } EXPORT_SYMBOL_GPL(dm_btree_remove);