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- /*
- * 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 <linux/export.h>
- /*
- * 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 btree_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));
- memmove(key_ptr(n, 0),
- key_ptr(n, shift),
- (nr_entries - shift) * sizeof(__le64));
- memmove(value_ptr(n, 0),
- value_ptr(n, shift),
- (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_ptr(n, 0),
- nr_entries * value_size);
- }
- }
- static void node_copy(struct btree_node *left, struct btree_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_ptr(right, 0),
- 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_ptr(left, nr_left - shift),
- shift * value_size);
- }
- }
- /*
- * Delete a specific entry from a leaf node.
- */
- static void delete_at(struct btree_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_ptr(n, index + 1),
- nr_to_copy * value_size);
- }
- n->header.nr_entries = cpu_to_le32(nr_entries - 1);
- }
- static unsigned merge_threshold(struct btree_node *n)
- {
- return le32_to_cpu(n->header.max_entries) / 3;
- }
- struct child {
- unsigned index;
- struct dm_block *block;
- struct btree_node *n;
- };
- static int init_child(struct dm_btree_info *info, struct dm_btree_value_type *vt,
- struct btree_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, vt);
- *((__le64 *) value_ptr(parent, index)) =
- cpu_to_le64(dm_block_location(result->block));
- return 0;
- }
- static void exit_child(struct dm_btree_info *info, struct child *c)
- {
- dm_tm_unlock(info->tm, c->block);
- }
- static void shift(struct btree_node *left, struct btree_node *right, int count)
- {
- uint32_t nr_left = le32_to_cpu(left->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);
- uint32_t r_max_entries = le32_to_cpu(right->header.max_entries);
- BUG_ON(max_entries != r_max_entries);
- BUG_ON(nr_left - count > max_entries);
- BUG_ON(nr_right + count > max_entries);
- 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(nr_left - count);
- right->header.nr_entries = cpu_to_le32(nr_right + count);
- }
- static void __rebalance2(struct dm_btree_info *info, struct btree_node *parent,
- struct child *l, struct child *r)
- {
- struct btree_node *left = l->n;
- struct btree_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);
- /*
- * Ensure the number of entries in each child will be greater
- * than or equal to (max_entries / 3 + 1), so no matter which
- * child is used for removal, the number will still be not
- * less than (max_entries / 3).
- */
- unsigned int threshold = 2 * (merge_threshold(left) + 1);
- if (nr_left + nr_right < threshold) {
- /*
- * 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;
- 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,
- struct dm_btree_value_type *vt, unsigned left_index)
- {
- int r;
- struct btree_node *parent;
- struct child left, right;
- parent = dm_block_data(shadow_current(s));
- r = init_child(info, vt, parent, left_index, &left);
- if (r)
- return r;
- r = init_child(info, vt, parent, left_index + 1, &right);
- if (r) {
- exit_child(info, &left);
- return r;
- }
- __rebalance2(info, parent, &left, &right);
- exit_child(info, &left);
- exit_child(info, &right);
- return 0;
- }
- /*
- * 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.
- */
- static void delete_center_node(struct dm_btree_info *info, struct btree_node *parent,
- struct child *l, struct child *c, struct child *r,
- struct btree_node *left, struct btree_node *center, struct btree_node *right,
- uint32_t nr_left, uint32_t nr_center, uint32_t nr_right)
- {
- uint32_t max_entries = le32_to_cpu(left->header.max_entries);
- 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);
- }
- /*
- * Redistributes entries among 3 sibling nodes.
- */
- static void redistribute3(struct dm_btree_info *info, struct btree_node *parent,
- struct child *l, struct child *c, struct child *r,
- struct btree_node *left, struct btree_node *center, struct btree_node *right,
- uint32_t nr_left, uint32_t nr_center, uint32_t nr_right)
- {
- int s;
- uint32_t max_entries = le32_to_cpu(left->header.max_entries);
- unsigned total = nr_left + nr_center + nr_right;
- unsigned target_right = total / 3;
- unsigned remainder = (target_right * 3) != total;
- unsigned target_left = target_right + remainder;
- BUG_ON(target_left > max_entries);
- BUG_ON(target_right > max_entries);
- if (nr_left < nr_right) {
- s = nr_left - target_left;
- if (s < 0 && nr_center < -s) {
- /* not enough in central node */
- shift(left, center, -nr_center);
- s += nr_center;
- shift(left, right, s);
- nr_right += s;
- } else
- shift(left, center, s);
- shift(center, right, target_right - nr_right);
- } else {
- s = target_right - nr_right;
- if (s > 0 && nr_center < s) {
- /* not enough in central node */
- shift(center, right, nr_center);
- s -= nr_center;
- shift(left, right, s);
- nr_left -= s;
- } else
- shift(center, right, s);
- shift(left, center, nr_left - target_left);
- }
- *key_ptr(parent, c->index) = center->keys[0];
- *key_ptr(parent, r->index) = right->keys[0];
- }
- static void __rebalance3(struct dm_btree_info *info, struct btree_node *parent,
- struct child *l, struct child *c, struct child *r)
- {
- struct btree_node *left = l->n;
- struct btree_node *center = c->n;
- struct btree_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);
- unsigned threshold = merge_threshold(left) * 4 + 1;
- 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) < threshold)
- delete_center_node(info, parent, l, c, r, left, center, right,
- nr_left, nr_center, nr_right);
- else
- redistribute3(info, parent, l, c, r, left, center, right,
- nr_left, nr_center, nr_right);
- }
- static int rebalance3(struct shadow_spine *s, struct dm_btree_info *info,
- struct dm_btree_value_type *vt, unsigned left_index)
- {
- int r;
- struct btree_node *parent = dm_block_data(shadow_current(s));
- struct child left, center, right;
- /*
- * FIXME: fill out an array?
- */
- r = init_child(info, vt, parent, left_index, &left);
- if (r)
- return r;
- r = init_child(info, vt, parent, left_index + 1, ¢er);
- if (r) {
- exit_child(info, &left);
- return r;
- }
- r = init_child(info, vt, parent, left_index + 2, &right);
- if (r) {
- exit_child(info, &left);
- exit_child(info, ¢er);
- return r;
- }
- __rebalance3(info, parent, &left, ¢er, &right);
- exit_child(info, &left);
- exit_child(info, ¢er);
- exit_child(info, &right);
- return 0;
- }
- static int rebalance_children(struct shadow_spine *s,
- struct dm_btree_info *info,
- struct dm_btree_value_type *vt, uint64_t key)
- {
- int i, r, has_left_sibling, has_right_sibling;
- struct btree_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)));
- dm_tm_unlock(info->tm, child);
- dm_tm_dec(info->tm, dm_block_location(child));
- return 0;
- }
- i = lower_bound(n, key);
- if (i < 0)
- return -ENODATA;
- 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, vt, i);
- else if (!has_right_sibling)
- r = rebalance2(s, info, vt, i - 1);
- else
- r = rebalance3(s, info, vt, i - 1);
- return r;
- }
- static int do_leaf(struct btree_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 btree_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),
- &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, vt, 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 btree_node *n;
- struct dm_btree_value_type le64_vt;
- init_le64_type(info->tm, &le64_vt);
- init_shadow_spine(&spine, info);
- for (level = 0; level < info->levels; level++) {
- r = remove_raw(&spine, info,
- (level == last_level ?
- &info->value_type : &le64_vt),
- 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));
- delete_at(n, index);
- }
- if (!r)
- *new_root = shadow_root(&spine);
- exit_shadow_spine(&spine);
- return r;
- }
- EXPORT_SYMBOL_GPL(dm_btree_remove);
- /*----------------------------------------------------------------*/
- static int remove_nearest(struct shadow_spine *s, struct dm_btree_info *info,
- struct dm_btree_value_type *vt, dm_block_t root,
- uint64_t key, int *index)
- {
- int i = *index, r;
- struct btree_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),
- &location, sizeof(__le64));
- }
- n = dm_block_data(shadow_current(s));
- if (le32_to_cpu(n->header.flags) & LEAF_NODE) {
- *index = lower_bound(n, key);
- return 0;
- }
- r = rebalance_children(s, info, vt, key);
- if (r)
- break;
- n = dm_block_data(shadow_current(s));
- if (le32_to_cpu(n->header.flags) & LEAF_NODE) {
- *index = lower_bound(n, key);
- return 0;
- }
- 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;
- }
- static int remove_one(struct dm_btree_info *info, dm_block_t root,
- uint64_t *keys, uint64_t end_key,
- dm_block_t *new_root, unsigned *nr_removed)
- {
- unsigned level, last_level = info->levels - 1;
- int index = 0, r = 0;
- struct shadow_spine spine;
- struct btree_node *n;
- struct dm_btree_value_type le64_vt;
- uint64_t k;
- init_le64_type(info->tm, &le64_vt);
- init_shadow_spine(&spine, info);
- for (level = 0; level < last_level; level++) {
- r = remove_raw(&spine, info, &le64_vt,
- root, keys[level], (unsigned *) &index);
- if (r < 0)
- goto out;
- n = dm_block_data(shadow_current(&spine));
- root = value64(n, index);
- }
- r = remove_nearest(&spine, info, &info->value_type,
- root, keys[last_level], &index);
- if (r < 0)
- goto out;
- n = dm_block_data(shadow_current(&spine));
- if (index < 0)
- index = 0;
- if (index >= le32_to_cpu(n->header.nr_entries)) {
- r = -ENODATA;
- goto out;
- }
- k = le64_to_cpu(n->keys[index]);
- if (k >= keys[last_level] && k < end_key) {
- if (info->value_type.dec)
- info->value_type.dec(info->value_type.context,
- value_ptr(n, index));
- delete_at(n, index);
- keys[last_level] = k + 1ull;
- } else
- r = -ENODATA;
- out:
- *new_root = shadow_root(&spine);
- exit_shadow_spine(&spine);
- return r;
- }
- int dm_btree_remove_leaves(struct dm_btree_info *info, dm_block_t root,
- uint64_t *first_key, uint64_t end_key,
- dm_block_t *new_root, unsigned *nr_removed)
- {
- int r;
- *nr_removed = 0;
- do {
- r = remove_one(info, root, first_key, end_key, &root, nr_removed);
- if (!r)
- (*nr_removed)++;
- } while (!r);
- *new_root = root;
- return r == -ENODATA ? 0 : r;
- }
- EXPORT_SYMBOL_GPL(dm_btree_remove_leaves);
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