// SPDX-License-Identifier: GPL-2.0-only
/*
* 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>
#include <linux/device-mapper.h>
#define DM_MSG_PREFIX "btree"
/*
* 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 int 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);
if (value_size != le32_to_cpu(right->header.value_size)) {
DMERR("mismatched value size" );
return -EILSEQ;
}
if (shift < 0 ) {
shift = -shift;
if (nr_left + shift > le32_to_cpu(left->header.max_entries)) {
DMERR("bad shift" );
return -EINVAL;
}
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 {
if (shift > le32_to_cpu(right->header.max_entries)) {
DMERR("bad shift" );
return -EINVAL;
}
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);
}
return 0 ;
}
/*
* Delete a specific entry from a leaf node .
*/
static void delete_at(struct btree_node *n, unsigned int index)
{
unsigned int nr_entries = le32_to_cpu(n->header.nr_entries);
unsigned int 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 int merge_threshold(struct btree_node *n)
{
return le32_to_cpu(n->header.max_entries) / 3 ;
}
struct child {
unsigned int 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 int 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 int shift(struct btree_node *left, struct btree_node *right, int count)
{
int r;
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);
if (max_entries != r_max_entries) {
DMERR("node max_entries mismatch" );
return -EILSEQ;
}
if (nr_left - count > max_entries) {
DMERR("node shift out of bounds" );
return -EINVAL;
}
if (nr_right + count > max_entries) {
DMERR("node shift out of bounds" );
return -EINVAL;
}
if (!count)
return 0 ;
if (count > 0 ) {
node_shift(right, count);
r = node_copy(left, right, count);
if (r)
return r;
} else {
r = node_copy(left, right, count);
if (r)
return r;
node_shift(right, count);
}
left->header.nr_entries = cpu_to_le32(nr_left - count);
right->header.nr_entries = cpu_to_le32(nr_right + count);
return 0 ;
}
static int __rebalance2(struct dm_btree_info *info, struct btree_node *parent,
struct child *l, struct child *r)
{
int ret;
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 int target_left = (nr_left + nr_right) / 2 ;
ret = shift(left, right, nr_left - target_left);
if (ret)
return ret;
*key_ptr(parent, r->index) = right->keys[0 ];
}
return 0 ;
}
static int rebalance2(struct shadow_spine *s, struct dm_btree_info *info,
struct dm_btree_value_type *vt, unsigned int 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;
}
r = __rebalance2(info, parent, &left, &right);
exit_child(info, &left);
exit_child(info, &right);
return r;
}
/*
* 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 int 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 int shift = min(max_entries - nr_left, nr_center);
if (nr_left + shift > max_entries) {
DMERR("node shift out of bounds" );
return -EINVAL;
}
node_copy(left, center, -shift);
left->header.nr_entries = cpu_to_le32(nr_left + shift);
if (shift != nr_center) {
shift = nr_center - shift;
if ((nr_right + shift) > max_entries) {
DMERR("node shift out of bounds" );
return -EINVAL;
}
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));
return __rebalance2(info, parent, l, r);
}
/*
* Redistributes entries among 3 sibling nodes .
*/
static int 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, ret;
uint32_t max_entries = le32_to_cpu(left->header.max_entries);
unsigned int total = nr_left + nr_center + nr_right;
unsigned int target_right = total / 3 ;
unsigned int remainder = (target_right * 3 ) != total;
unsigned int 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 */
ret = shift(left, center, -nr_center);
if (ret)
return ret;
s += nr_center;
ret = shift(left, right, s);
if (ret)
return ret;
nr_right += s;
} else {
ret = shift(left, center, s);
if (ret)
return ret;
}
ret = shift(center, right, target_right - nr_right);
if (ret)
return ret;
} else {
s = target_right - nr_right;
if (s > 0 && nr_center < s) {
/* not enough in central node */
ret = shift(center, right, nr_center);
if (ret)
return ret;
s -= nr_center;
ret = shift(left, right, s);
if (ret)
return ret;
nr_left -= s;
} else {
ret = shift(center, right, s);
if (ret)
return ret;
}
ret = shift(left, center, nr_left - target_left);
if (ret)
return ret;
}
*key_ptr(parent, c->index) = center->keys[0 ];
*key_ptr(parent, r->index) = right->keys[0 ];
return 0 ;
}
static int __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 int threshold = merge_threshold(left) * 4 + 1 ;
if ((left->header.max_entries != center->header.max_entries) ||
(center->header.max_entries != right->header.max_entries)) {
DMERR("bad btree metadata, max_entries differ" );
return -EILSEQ;
}
if ((nr_left + nr_center + nr_right) < threshold) {
return delete_center_node(info, parent, l, c, r, left, center, right,
nr_left, nr_center, nr_right);
}
return 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 int 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;
}
r = __rebalance3(info, parent, &left, ¢er, &right);
exit_child(info, &left);
exit_child(info, ¢er);
exit_child(info, &right);
return r;
}
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_dec(info->tm, dm_block_location(child));
dm_tm_unlock(info->tm, 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 int *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 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)
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 int 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 int *)&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), 1 );
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 int *nr_removed)
{
unsigned int 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 int *) &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), 1 );
delete_at(n, index);
keys[last_level] = k + 1 ull;
} 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 int *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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