root/drivers/md/persistent-data/dm-btree-remove.c
// 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, &center);
        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, &center);
                return r;
        }

        r = __rebalance3(info, parent, &left, &center, &right);

        exit_child(info, &left);
        exit_child(info, &center);
        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 + 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 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);