--- /dev/null
+/*
+ * 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 int exit_child(struct dm_btree_info *info, struct child *c)
+{
+ return 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);
+ unsigned 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);
+
+ r = exit_child(info, &left);
+ if (r) {
+ exit_child(info, &right);
+ return r;
+ }
+
+ return exit_child(info, &right);
+}
+
+/*
+ * 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 target = (nr_left + nr_center + nr_right) / 3;
+ BUG_ON(target > max_entries);
+
+ if (nr_left < nr_right) {
+ s = nr_left - target;
+
+ if (s < 0 && nr_center < -s) {
+ /* not enough in central node */
+ shift(left, center, nr_center);
+ s = nr_center - target;
+ shift(left, right, s);
+ nr_right += s;
+ } else
+ shift(left, center, s);
+
+ shift(center, right, target - nr_right);
+
+ } else {
+ s = target - nr_right;
+ if (s > 0 && nr_center < s) {
+ /* not enough in central node */
+ shift(center, right, nr_center);
+ s = target - nr_center;
+ shift(left, right, s);
+ nr_left -= s;
+ } else
+ shift(center, right, s);
+
+ shift(left, center, nr_left - target);
+ }
+
+ *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);
+
+ 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 btree_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,
+ struct dm_btree_value_type *vt, uint64_t key)
+{
+ int i, r, has_left_sibling, has_right_sibling;
+ uint32_t child_entries;
+ 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)));
+ 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;
+
+ 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;
+}
+
+static struct dm_btree_value_type le64_type = {
+ .context = NULL,
+ .size = sizeof(__le64),
+ .inc = NULL,
+ .dec = NULL,
+ .equal = NULL
+};
+
+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;
+
+ 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));
+
+ delete_at(n, index);
+ }
+
+ *new_root = shadow_root(&spine);
+ exit_shadow_spine(&spine);
+
+ return r;
+}
+EXPORT_SYMBOL_GPL(dm_btree_remove);
Code Review / kvmfornfv.git / blobdiff