[mirror_ovs.git] / lib / classifier.c

/*
 * Copyright (c) 2009, 2010, 2011, 2012, 2013 Nicira, Inc.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at:
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

#include <config.h>
#include "classifier.h"
#include <errno.h>
#include <netinet/in.h>
#include "byte-order.h"
#include "dynamic-string.h"
#include "flow.h"
#include "hash.h"
#include "odp-util.h"
#include "ofp-util.h"
#include "ovs-thread.h"
#include "packets.h"
#include "vlog.h"

VLOG_DEFINE_THIS_MODULE(classifier);

struct trie_ctx;
static struct cls_subtable *find_subtable(const struct classifier *,
                                          const struct minimask *);
static struct cls_subtable *insert_subtable(struct classifier *,
                                            const struct minimask *);

static void destroy_subtable(struct classifier *, struct cls_subtable *);

static void update_subtables_after_insertion(struct classifier *,
                                             struct cls_subtable *,
                                             unsigned int new_priority);
static void update_subtables_after_removal(struct classifier *,
                                           struct cls_subtable *,
                                           unsigned int del_priority);

static struct cls_rule *find_match_wc(const struct cls_subtable *,
                                      const struct flow *, struct trie_ctx *,
                                      unsigned int n_tries,
                                      struct flow_wildcards *);
static struct cls_rule *find_equal(struct cls_subtable *,
                                   const struct miniflow *, uint32_t hash);
static struct cls_rule *insert_rule(struct classifier *,
                                    struct cls_subtable *, struct cls_rule *);

/* Iterates RULE over HEAD and all of the cls_rules on HEAD->list. */
#define FOR_EACH_RULE_IN_LIST(RULE, HEAD)                               \
    for ((RULE) = (HEAD); (RULE) != NULL; (RULE) = next_rule_in_list(RULE))
#define FOR_EACH_RULE_IN_LIST_SAFE(RULE, NEXT, HEAD)                    \
    for ((RULE) = (HEAD);                                               \
         (RULE) != NULL && ((NEXT) = next_rule_in_list(RULE), true);    \
         (RULE) = (NEXT))

static struct cls_rule *next_rule_in_list__(struct cls_rule *);
static struct cls_rule *next_rule_in_list(struct cls_rule *);

static unsigned int minimask_get_prefix_len(const struct minimask *,
                                            const struct mf_field *);
static void trie_init(struct classifier *, int trie_idx,
                      const struct mf_field *);
static unsigned int trie_lookup(const struct cls_trie *, const struct flow *,
                                unsigned int *checkbits);

static void trie_destroy(struct trie_node *);
static void trie_insert(struct cls_trie *, const struct cls_rule *, int mlen);
static void trie_remove(struct cls_trie *, const struct cls_rule *, int mlen);
static void mask_set_prefix_bits(struct flow_wildcards *, uint8_t be32ofs,
                                 unsigned int nbits);
static bool mask_prefix_bits_set(const struct flow_wildcards *,
                                 uint8_t be32ofs, unsigned int nbits);
\f
/* flow/miniflow/minimask/minimatch utilities.
 * These are only used by the classifier, so place them here to allow
 * for better optimization. */

static inline uint64_t
miniflow_get_map_in_range(const struct miniflow *miniflow,
                          uint8_t start, uint8_t end, unsigned int *offset)
{
    uint64_t map = miniflow->map;
    *offset = 0;

    if (start > 0) {
        uint64_t msk = (UINT64_C(1) << start) - 1; /* 'start' LSBs set */
        *offset = count_1bits(map & msk);
        map &= ~msk;
    }
    if (end < FLOW_U32S) {
        uint64_t msk = (UINT64_C(1) << end) - 1; /* 'end' LSBs set */
        map &= msk;
    }
    return map;
}

/* Returns a hash value for the bits of 'flow' where there are 1-bits in
 * 'mask', given 'basis'.
 *
 * The hash values returned by this function are the same as those returned by
 * miniflow_hash_in_minimask(), only the form of the arguments differ. */
static inline uint32_t
flow_hash_in_minimask(const struct flow *flow, const struct minimask *mask,
                      uint32_t basis)
{
    const uint32_t *flow_u32 = (const uint32_t *)flow;
    const uint32_t *p = mask->masks.values;
    uint32_t hash;
    uint64_t map;

    hash = basis;
    for (map = mask->masks.map; map; map = zero_rightmost_1bit(map)) {
        hash = mhash_add(hash, flow_u32[raw_ctz(map)] & *p++);
    }

    return mhash_finish(hash, (p - mask->masks.values) * 4);
}

/* Returns a hash value for the bits of 'flow' where there are 1-bits in
 * 'mask', given 'basis'.
 *
 * The hash values returned by this function are the same as those returned by
 * flow_hash_in_minimask(), only the form of the arguments differ. */
static inline uint32_t
miniflow_hash_in_minimask(const struct miniflow *flow,
                          const struct minimask *mask, uint32_t basis)
{
    const uint32_t *p = mask->masks.values;
    uint32_t hash = basis;
    uint32_t flow_u32;

    MINIFLOW_FOR_EACH_IN_MAP(flow_u32, flow, mask->masks.map) {
        hash = mhash_add(hash, flow_u32 & *p++);
    }

    return mhash_finish(hash, (p - mask->masks.values) * 4);
}

/* Returns a hash value for the bits of range [start, end) in 'flow',
 * where there are 1-bits in 'mask', given 'hash'.
 *
 * The hash values returned by this function are the same as those returned by
 * minimatch_hash_range(), only the form of the arguments differ. */
static inline uint32_t
flow_hash_in_minimask_range(const struct flow *flow,
                            const struct minimask *mask,
                            uint8_t start, uint8_t end, uint32_t *basis)
{
    const uint32_t *flow_u32 = (const uint32_t *)flow;
    unsigned int offset;
    uint64_t map = miniflow_get_map_in_range(&mask->masks, start, end,
                                             &offset);
    const uint32_t *p = mask->masks.values + offset;
    uint32_t hash = *basis;

    for (; map; map = zero_rightmost_1bit(map)) {
        hash = mhash_add(hash, flow_u32[raw_ctz(map)] & *p++);
    }

    *basis = hash; /* Allow continuation from the unfinished value. */
    return mhash_finish(hash, (p - mask->masks.values) * 4);
}

/* Fold minimask 'mask''s wildcard mask into 'wc's wildcard mask. */
static inline void
flow_wildcards_fold_minimask(struct flow_wildcards *wc,
                             const struct minimask *mask)
{
    flow_union_with_miniflow(&wc->masks, &mask->masks);
}

/* Fold minimask 'mask''s wildcard mask into 'wc's wildcard mask
 * in range [start, end). */
static inline void
flow_wildcards_fold_minimask_range(struct flow_wildcards *wc,
                                   const struct minimask *mask,
                                   uint8_t start, uint8_t end)
{
    uint32_t *dst_u32 = (uint32_t *)&wc->masks;
    unsigned int offset;
    uint64_t map = miniflow_get_map_in_range(&mask->masks, start, end,
                                             &offset);
    const uint32_t *p = mask->masks.values + offset;

    for (; map; map = zero_rightmost_1bit(map)) {
        dst_u32[raw_ctz(map)] |= *p++;
    }
}

/* Returns a hash value for 'flow', given 'basis'. */
static inline uint32_t
miniflow_hash(const struct miniflow *flow, uint32_t basis)
{
    const uint32_t *p = flow->values;
    uint32_t hash = basis;
    uint64_t hash_map = 0;
    uint64_t map;

    for (map = flow->map; map; map = zero_rightmost_1bit(map)) {
        if (*p) {
            hash = mhash_add(hash, *p);
            hash_map |= rightmost_1bit(map);
        }
        p++;
    }
    hash = mhash_add(hash, hash_map);
    hash = mhash_add(hash, hash_map >> 32);

    return mhash_finish(hash, p - flow->values);
}

/* Returns a hash value for 'mask', given 'basis'. */
static inline uint32_t
minimask_hash(const struct minimask *mask, uint32_t basis)
{
    return miniflow_hash(&mask->masks, basis);
}

/* Returns a hash value for 'match', given 'basis'. */
static inline uint32_t
minimatch_hash(const struct minimatch *match, uint32_t basis)
{
    return miniflow_hash(&match->flow, minimask_hash(&match->mask, basis));
}

/* Returns a hash value for the bits of range [start, end) in 'minimatch',
 * given 'basis'.
 *
 * The hash values returned by this function are the same as those returned by
 * flow_hash_in_minimask_range(), only the form of the arguments differ. */
static inline uint32_t
minimatch_hash_range(const struct minimatch *match, uint8_t start, uint8_t end,
                     uint32_t *basis)
{
    unsigned int offset;
    const uint32_t *p, *q;
    uint32_t hash = *basis;
    int n, i;

    n = count_1bits(miniflow_get_map_in_range(&match->mask.masks, start, end,
                                              &offset));
    q = match->mask.masks.values + offset;
    p = match->flow.values + offset;

    for (i = 0; i < n; i++) {
        hash = mhash_add(hash, p[i] & q[i]);
    }
    *basis = hash; /* Allow continuation from the unfinished value. */
    return mhash_finish(hash, (offset + n) * 4);
}

\f
/* cls_rule. */

/* Initializes 'rule' to match packets specified by 'match' at the given
 * 'priority'.  'match' must satisfy the invariant described in the comment at
 * the definition of struct match.
 *
 * The caller must eventually destroy 'rule' with cls_rule_destroy().
 *
 * (OpenFlow uses priorities between 0 and UINT16_MAX, inclusive, but
 * internally Open vSwitch supports a wider range.) */
void
cls_rule_init(struct cls_rule *rule,
              const struct match *match, unsigned int priority)
{
    minimatch_init(&rule->match, match);
    rule->priority = priority;
}

/* Same as cls_rule_init() for initialization from a "struct minimatch". */
void
cls_rule_init_from_minimatch(struct cls_rule *rule,
                             const struct minimatch *match,
                             unsigned int priority)
{
    minimatch_clone(&rule->match, match);
    rule->priority = priority;
}

/* Initializes 'dst' as a copy of 'src'.
 *
 * The caller must eventually destroy 'dst' with cls_rule_destroy(). */
void
cls_rule_clone(struct cls_rule *dst, const struct cls_rule *src)
{
    minimatch_clone(&dst->match, &src->match);
    dst->priority = src->priority;
}

/* Initializes 'dst' with the data in 'src', destroying 'src'.
 *
 * The caller must eventually destroy 'dst' with cls_rule_destroy(). */
void
cls_rule_move(struct cls_rule *dst, struct cls_rule *src)
{
    minimatch_move(&dst->match, &src->match);
    dst->priority = src->priority;
}

/* Frees memory referenced by 'rule'.  Doesn't free 'rule' itself (it's
 * normally embedded into a larger structure).
 *
 * ('rule' must not currently be in a classifier.) */
void
cls_rule_destroy(struct cls_rule *rule)
{
    minimatch_destroy(&rule->match);
}

/* Returns true if 'a' and 'b' match the same packets at the same priority,
 * false if they differ in some way. */
bool
cls_rule_equal(const struct cls_rule *a, const struct cls_rule *b)
{
    return a->priority == b->priority && minimatch_equal(&a->match, &b->match);
}

/* Returns a hash value for 'rule', folding in 'basis'. */
uint32_t
cls_rule_hash(const struct cls_rule *rule, uint32_t basis)
{
    return minimatch_hash(&rule->match, hash_int(rule->priority, basis));
}

/* Appends a string describing 'rule' to 's'. */
void
cls_rule_format(const struct cls_rule *rule, struct ds *s)
{
    minimatch_format(&rule->match, s, rule->priority);
}

/* Returns true if 'rule' matches every packet, false otherwise. */
bool
cls_rule_is_catchall(const struct cls_rule *rule)
{
    return minimask_is_catchall(&rule->match.mask);
}
\f
/* Initializes 'cls' as a classifier that initially contains no classification
 * rules. */
void
classifier_init(struct classifier *cls, const uint8_t *flow_segments)
{
    cls->n_rules = 0;
    hmap_init(&cls->subtables);
    list_init(&cls->subtables_priority);
    hmap_init(&cls->partitions);
    fat_rwlock_init(&cls->rwlock);
    cls->n_flow_segments = 0;
    if (flow_segments) {
        while (cls->n_flow_segments < CLS_MAX_INDICES
               && *flow_segments < FLOW_U32S) {
            cls->flow_segments[cls->n_flow_segments++] = *flow_segments++;
        }
    }
    cls->n_tries = 0;
}

/* Destroys 'cls'.  Rules within 'cls', if any, are not freed; this is the
 * caller's responsibility. */
void
classifier_destroy(struct classifier *cls)
{
    if (cls) {
        struct cls_subtable *partition, *next_partition;
        struct cls_subtable *subtable, *next_subtable;
        int i;

        for (i = 0; i < cls->n_tries; i++) {
            trie_destroy(cls->tries[i].root);
        }

        HMAP_FOR_EACH_SAFE (subtable, next_subtable, hmap_node,
                            &cls->subtables) {
            destroy_subtable(cls, subtable);
        }
        hmap_destroy(&cls->subtables);

        HMAP_FOR_EACH_SAFE (partition, next_partition, hmap_node,
                            &cls->partitions) {
            hmap_remove(&cls->partitions, &partition->hmap_node);
            free(partition);
        }
        hmap_destroy(&cls->partitions);
        fat_rwlock_destroy(&cls->rwlock);
    }
}

/* We use uint64_t as a set for the fields below. */
BUILD_ASSERT_DECL(MFF_N_IDS <= 64);

/* Set the fields for which prefix lookup should be performed. */
void
classifier_set_prefix_fields(struct classifier *cls,
                             const enum mf_field_id *trie_fields,
                             unsigned int n_fields)
{
    uint64_t fields = 0;
    int i, trie;

    for (i = 0, trie = 0; i < n_fields && trie < CLS_MAX_TRIES; i++) {
        const struct mf_field *field = mf_from_id(trie_fields[i]);
        if (field->flow_be32ofs < 0 || field->n_bits % 32) {
            /* Incompatible field.  This is the only place where we
             * enforce these requirements, but the rest of the trie code
             * depends on the flow_be32ofs to be non-negative and the
             * field length to be a multiple of 32 bits. */
            continue;
        }

        if (fields & (UINT64_C(1) << trie_fields[i])) {
            /* Duplicate field, there is no need to build more than
             * one index for any one field. */
            continue;
        }
        fields |= UINT64_C(1) << trie_fields[i];

        if (trie >= cls->n_tries || field != cls->tries[trie].field) {
            trie_init(cls, trie, field);
        }
        trie++;
    }

    /* Destroy the rest. */
    for (i = trie; i < cls->n_tries; i++) {
        trie_init(cls, i, NULL);
    }
    cls->n_tries = trie;
}

static void
trie_init(struct classifier *cls, int trie_idx,
          const struct mf_field *field)
{
    struct cls_trie *trie = &cls->tries[trie_idx];
    struct cls_subtable *subtable;

    if (trie_idx < cls->n_tries) {
        trie_destroy(trie->root);
    }
    trie->root = NULL;
    trie->field = field;

    /* Add existing rules to the trie. */
    LIST_FOR_EACH (subtable, list_node, &cls->subtables_priority) {
        unsigned int plen;

        plen = field ? minimask_get_prefix_len(&subtable->mask, field) : 0;
        /* Initialize subtable's prefix length on this field. */
        subtable->trie_plen[trie_idx] = plen;

        if (plen) {
            struct cls_rule *head;

            HMAP_FOR_EACH (head, hmap_node, &subtable->rules) {
                struct cls_rule *rule;

                FOR_EACH_RULE_IN_LIST (rule, head) {
                    trie_insert(trie, rule, plen);
                }
            }
        }
    }
}

/* Returns true if 'cls' contains no classification rules, false otherwise. */
bool
classifier_is_empty(const struct classifier *cls)
{
    return cls->n_rules == 0;
}

/* Returns the number of rules in 'cls'. */
int
classifier_count(const struct classifier *cls)
{
    return cls->n_rules;
}

static uint32_t
hash_metadata(ovs_be64 metadata_)
{
    uint64_t metadata = (OVS_FORCE uint64_t) metadata_;
    return hash_uint64(metadata);
}

static struct cls_partition *
find_partition(const struct classifier *cls, ovs_be64 metadata, uint32_t hash)
{
    struct cls_partition *partition;

    HMAP_FOR_EACH_IN_BUCKET (partition, hmap_node, hash, &cls->partitions) {
        if (partition->metadata == metadata) {
            return partition;
        }
    }

    return NULL;
}

static struct cls_partition *
create_partition(struct classifier *cls, struct cls_subtable *subtable,
                 ovs_be64 metadata)
{
    uint32_t hash = hash_metadata(metadata);
    struct cls_partition *partition = find_partition(cls, metadata, hash);
    if (!partition) {
        partition = xmalloc(sizeof *partition);
        partition->metadata = metadata;
        partition->tags = 0;
        tag_tracker_init(&partition->tracker);
        hmap_insert(&cls->partitions, &partition->hmap_node, hash);
    }
    tag_tracker_add(&partition->tracker, &partition->tags, subtable->tag);
    return partition;
}

/* Inserts 'rule' into 'cls'.  Until 'rule' is removed from 'cls', the caller
 * must not modify or free it.
 *
 * If 'cls' already contains an identical rule (including wildcards, values of
 * fixed fields, and priority), replaces the old rule by 'rule' and returns the
 * rule that was replaced.  The caller takes ownership of the returned rule and
 * is thus responsible for destroying it with cls_rule_destroy(), freeing the
 * memory block in which it resides, etc., as necessary.
 *
 * Returns NULL if 'cls' does not contain a rule with an identical key, after
 * inserting the new rule.  In this case, no rules are displaced by the new
 * rule, even rules that cannot have any effect because the new rule matches a
 * superset of their flows and has higher priority. */
struct cls_rule *
classifier_replace(struct classifier *cls, struct cls_rule *rule)
{
    struct cls_rule *old_rule;
    struct cls_subtable *subtable;

    subtable = find_subtable(cls, &rule->match.mask);
    if (!subtable) {
        subtable = insert_subtable(cls, &rule->match.mask);
    }

    old_rule = insert_rule(cls, subtable, rule);
    if (!old_rule) {
        int i;

        if (minimask_get_metadata_mask(&rule->match.mask) == OVS_BE64_MAX) {
            ovs_be64 metadata = miniflow_get_metadata(&rule->match.flow);
            rule->partition = create_partition(cls, subtable, metadata);
        } else {
            rule->partition = NULL;
        }

        subtable->n_rules++;
        cls->n_rules++;

        for (i = 0; i < cls->n_tries; i++) {
            if (subtable->trie_plen[i]) {
                trie_insert(&cls->tries[i], rule, subtable->trie_plen[i]);
            }
        }
    } else {
        rule->partition = old_rule->partition;
    }
    return old_rule;
}

/* Inserts 'rule' into 'cls'.  Until 'rule' is removed from 'cls', the caller
 * must not modify or free it.
 *
 * 'cls' must not contain an identical rule (including wildcards, values of
 * fixed fields, and priority).  Use classifier_find_rule_exactly() to find
 * such a rule. */
void
classifier_insert(struct classifier *cls, struct cls_rule *rule)
{
    struct cls_rule *displaced_rule = classifier_replace(cls, rule);
    ovs_assert(!displaced_rule);
}

/* Removes 'rule' from 'cls'.  It is the caller's responsibility to destroy
 * 'rule' with cls_rule_destroy(), freeing the memory block in which 'rule'
 * resides, etc., as necessary. */
void
classifier_remove(struct classifier *cls, struct cls_rule *rule)
{
    struct cls_partition *partition;
    struct cls_rule *head;
    struct cls_subtable *subtable;
    int i;

    subtable = find_subtable(cls, &rule->match.mask);

    for (i = 0; i < cls->n_tries; i++) {
        if (subtable->trie_plen[i]) {
            trie_remove(&cls->tries[i], rule, subtable->trie_plen[i]);
        }
    }

    /* Remove rule node from indices. */
    for (i = 0; i < subtable->n_indices; i++) {
        hindex_remove(&subtable->indices[i], &rule->index_nodes[i]);
    }

    head = find_equal(subtable, &rule->match.flow, rule->hmap_node.hash);
    if (head != rule) {
        list_remove(&rule->list);
    } else if (list_is_empty(&rule->list)) {
        hmap_remove(&subtable->rules, &rule->hmap_node);
    } else {
        struct cls_rule *next = CONTAINER_OF(rule->list.next,
                                             struct cls_rule, list);

        list_remove(&rule->list);
        hmap_replace(&subtable->rules, &rule->hmap_node, &next->hmap_node);
    }

    partition = rule->partition;
    if (partition) {
        tag_tracker_subtract(&partition->tracker, &partition->tags,
                             subtable->tag);
        if (!partition->tags) {
            hmap_remove(&cls->partitions, &partition->hmap_node);
            free(partition);
        }
    }

    if (--subtable->n_rules == 0) {
        destroy_subtable(cls, subtable);
    } else {
        update_subtables_after_removal(cls, subtable, rule->priority);
    }

    cls->n_rules--;
}

/* Prefix tree context.  Valid when 'lookup_done' is true.  Can skip all
 * subtables which have more than 'match_plen' bits in their corresponding
 * field at offset 'be32ofs'.  If skipped, 'maskbits' prefix bits should be
 * unwildcarded to quarantee datapath flow matches only packets it should. */
struct trie_ctx {
    const struct cls_trie *trie;
    bool lookup_done;        /* Status of the lookup. */
    uint8_t be32ofs;         /* U32 offset of the field in question. */
    unsigned int match_plen; /* Longest prefix than could possibly match. */
    unsigned int maskbits;   /* Prefix length needed to avoid false matches. */
};

static void
trie_ctx_init(struct trie_ctx *ctx, const struct cls_trie *trie)
{
    ctx->trie = trie;
    ctx->be32ofs = trie->field->flow_be32ofs;
    ctx->lookup_done = false;
}

/* Finds and returns the highest-priority rule in 'cls' that matches 'flow'.
 * Returns a null pointer if no rules in 'cls' match 'flow'.  If multiple rules
 * of equal priority match 'flow', returns one arbitrarily.
 *
 * If a rule is found and 'wc' is non-null, bitwise-OR's 'wc' with the
 * set of bits that were significant in the lookup.  At some point
 * earlier, 'wc' should have been initialized (e.g., by
 * flow_wildcards_init_catchall()). */
struct cls_rule *
classifier_lookup(const struct classifier *cls, const struct flow *flow,
                  struct flow_wildcards *wc)
{
    const struct cls_partition *partition;
    struct cls_subtable *subtable;
    struct cls_rule *best;
    tag_type tags;
    struct trie_ctx trie_ctx[CLS_MAX_TRIES];
    int i;

    /* Determine 'tags' such that, if 'subtable->tag' doesn't intersect them,
     * then 'flow' cannot possibly match in 'subtable':
     *
     *     - If flow->metadata maps to a given 'partition', then we can use
     *       'tags' for 'partition->tags'.
     *
     *     - If flow->metadata has no partition, then no rule in 'cls' has an
     *       exact-match for flow->metadata.  That means that we don't need to
     *       search any subtable that includes flow->metadata in its mask.
     *
     * In either case, we always need to search any cls_subtables that do not
     * include flow->metadata in its mask.  One way to do that would be to
     * check the "cls_subtable"s explicitly for that, but that would require an
     * extra branch per subtable.  Instead, we mark such a cls_subtable's
     * 'tags' as TAG_ALL and make sure that 'tags' is never empty.  This means
     * that 'tags' always intersects such a cls_subtable's 'tags', so we don't
     * need a special case.
     */
    partition = (hmap_is_empty(&cls->partitions)
                 ? NULL
                 : find_partition(cls, flow->metadata,
                                  hash_metadata(flow->metadata)));
    tags = partition ? partition->tags : TAG_ARBITRARY;

    /* Initialize trie contexts for match_find_wc(). */
    for (i = 0; i < cls->n_tries; i++) {
        trie_ctx_init(&trie_ctx[i], &cls->tries[i]);
    }
    best = NULL;
    LIST_FOR_EACH (subtable, list_node, &cls->subtables_priority) {
        struct cls_rule *rule;

        if (!tag_intersects(tags, subtable->tag)) {
            continue;
        }

        rule = find_match_wc(subtable, flow, trie_ctx, cls->n_tries, wc);
        if (rule) {
            best = rule;
            LIST_FOR_EACH_CONTINUE (subtable, list_node,
                                    &cls->subtables_priority) {
                if (subtable->max_priority <= best->priority) {
                    /* Subtables are in descending priority order,
                     * can not find anything better. */
                    return best;
                }
                if (!tag_intersects(tags, subtable->tag)) {
                    continue;
                }

                rule = find_match_wc(subtable, flow, trie_ctx, cls->n_tries,
                                     wc);
                if (rule && rule->priority > best->priority) {
                    best = rule;
                }
            }
            break;
        }
    }

    return best;
}

/* Returns true if 'target' satisifies 'match', that is, if each bit for which
 * 'match' specifies a particular value has the correct value in 'target'. */
static bool
minimatch_matches_miniflow(const struct minimatch *match,
                           const struct miniflow *target)
{
    const uint32_t *flowp = (const uint32_t *)match->flow.values;
    const uint32_t *maskp = (const uint32_t *)match->mask.masks.values;
    uint32_t target_u32;

    MINIFLOW_FOR_EACH_IN_MAP(target_u32, target, match->mask.masks.map) {
        if ((*flowp++ ^ target_u32) & *maskp++) {
            return false;
        }
    }

    return true;
}

static inline struct cls_rule *
find_match_miniflow(const struct cls_subtable *subtable,
                    const struct miniflow *flow,
                    uint32_t hash)
{
    struct cls_rule *rule;

    HMAP_FOR_EACH_WITH_HASH (rule, hmap_node, hash, &subtable->rules) {
        if (minimatch_matches_miniflow(&rule->match, flow)) {
            return rule;
        }
    }

    return NULL;
}

/* Finds and returns the highest-priority rule in 'cls' that matches
 * 'miniflow'.  Returns a null pointer if no rules in 'cls' match 'flow'.
 * If multiple rules of equal priority match 'flow', returns one arbitrarily.
 *
 * This function is optimized for the userspace datapath, which only ever has
 * one priority value for it's flows!
 */
struct cls_rule *classifier_lookup_miniflow_first(const struct classifier *cls,
                                                  const struct miniflow *flow)
{
    struct cls_subtable *subtable;

    LIST_FOR_EACH (subtable, list_node, &cls->subtables_priority) {
        struct cls_rule *rule;

        rule = find_match_miniflow(subtable, flow,
                                   miniflow_hash_in_minimask(flow,
                                                             &subtable->mask,
                                                             0));
        if (rule) {
            return rule;
        }
    }

    return NULL;
}

/* Finds and returns a rule in 'cls' with exactly the same priority and
 * matching criteria as 'target'.  Returns a null pointer if 'cls' doesn't
 * contain an exact match. */
struct cls_rule *
classifier_find_rule_exactly(const struct classifier *cls,
                             const struct cls_rule *target)
{
    struct cls_rule *head, *rule;
    struct cls_subtable *subtable;

    subtable = find_subtable(cls, &target->match.mask);
    if (!subtable) {
        return NULL;
    }

    /* Skip if there is no hope. */
    if (target->priority > subtable->max_priority) {
        return NULL;
    }

    head = find_equal(subtable, &target->match.flow,
                      miniflow_hash_in_minimask(&target->match.flow,
                                                &target->match.mask, 0));
    FOR_EACH_RULE_IN_LIST (rule, head) {
        if (target->priority >= rule->priority) {
            return target->priority == rule->priority ? rule : NULL;
        }
    }
    return NULL;
}

/* Finds and returns a rule in 'cls' with priority 'priority' and exactly the
 * same matching criteria as 'target'.  Returns a null pointer if 'cls' doesn't
 * contain an exact match. */
struct cls_rule *
classifier_find_match_exactly(const struct classifier *cls,
                              const struct match *target,
                              unsigned int priority)
{
    struct cls_rule *retval;
    struct cls_rule cr;

    cls_rule_init(&cr, target, priority);
    retval = classifier_find_rule_exactly(cls, &cr);
    cls_rule_destroy(&cr);

    return retval;
}

/* Checks if 'target' would overlap any other rule in 'cls'.  Two rules are
 * considered to overlap if both rules have the same priority and a packet
 * could match both. */
bool
classifier_rule_overlaps(const struct classifier *cls,
                         const struct cls_rule *target)
{
    struct cls_subtable *subtable;

    /* Iterate subtables in the descending max priority order. */
    LIST_FOR_EACH (subtable, list_node, &cls->subtables_priority) {
        uint32_t storage[FLOW_U32S];
        struct minimask mask;
        struct cls_rule *head;

        if (target->priority > subtable->max_priority) {
            break; /* Can skip this and the rest of the subtables. */
        }

        minimask_combine(&mask, &target->match.mask, &subtable->mask, storage);
        HMAP_FOR_EACH (head, hmap_node, &subtable->rules) {
            struct cls_rule *rule;

            FOR_EACH_RULE_IN_LIST (rule, head) {
                if (rule->priority < target->priority) {
                    break; /* Rules in descending priority order. */
                }
                if (rule->priority == target->priority
                    && miniflow_equal_in_minimask(&target->match.flow,
                                                  &rule->match.flow, &mask)) {
                    return true;
                }
            }
        }
    }

    return false;
}

/* Returns true if 'rule' exactly matches 'criteria' or if 'rule' is more
 * specific than 'criteria'.  That is, 'rule' matches 'criteria' and this
 * function returns true if, for every field:
 *
 *   - 'criteria' and 'rule' specify the same (non-wildcarded) value for the
 *     field, or
 *
 *   - 'criteria' wildcards the field,
 *
 * Conversely, 'rule' does not match 'criteria' and this function returns false
 * if, for at least one field:
 *
 *   - 'criteria' and 'rule' specify different values for the field, or
 *
 *   - 'criteria' specifies a value for the field but 'rule' wildcards it.
 *
 * Equivalently, the truth table for whether a field matches is:
 *
 *                                     rule
 *
 *                   c         wildcard    exact
 *                   r        +---------+---------+
 *                   i   wild |   yes   |   yes   |
 *                   t   card |         |         |
 *                   e        +---------+---------+
 *                   r  exact |    no   |if values|
 *                   i        |         |are equal|
 *                   a        +---------+---------+
 *
 * This is the matching rule used by OpenFlow 1.0 non-strict OFPT_FLOW_MOD
 * commands and by OpenFlow 1.0 aggregate and flow stats.
 *
 * Ignores rule->priority. */
bool
cls_rule_is_loose_match(const struct cls_rule *rule,
                        const struct minimatch *criteria)
{
    return (!minimask_has_extra(&rule->match.mask, &criteria->mask)
            && miniflow_equal_in_minimask(&rule->match.flow, &criteria->flow,
                                          &criteria->mask));
}
\f
/* Iteration. */

static bool
rule_matches(const struct cls_rule *rule, const struct cls_rule *target)
{
    return (!target
            || miniflow_equal_in_minimask(&rule->match.flow,
                                          &target->match.flow,
                                          &target->match.mask));
}

static struct cls_rule *
search_subtable(const struct cls_subtable *subtable,
                const struct cls_rule *target)
{
    if (!target || !minimask_has_extra(&subtable->mask, &target->match.mask)) {
        struct cls_rule *rule;

        HMAP_FOR_EACH (rule, hmap_node, &subtable->rules) {
            if (rule_matches(rule, target)) {
                return rule;
            }
        }
    }
    return NULL;
}

/* Initializes 'cursor' for iterating through rules in 'cls':
 *
 *     - If 'target' is null, the cursor will visit every rule in 'cls'.
 *
 *     - If 'target' is nonnull, the cursor will visit each 'rule' in 'cls'
 *       such that cls_rule_is_loose_match(rule, target) returns true.
 *
 * Ignores target->priority. */
void
cls_cursor_init(struct cls_cursor *cursor, const struct classifier *cls,
                const struct cls_rule *target)
{
    cursor->cls = cls;
    cursor->target = target && !cls_rule_is_catchall(target) ? target : NULL;
}

/* Returns the first matching cls_rule in 'cursor''s iteration, or a null
 * pointer if there are no matches. */
struct cls_rule *
cls_cursor_first(struct cls_cursor *cursor)
{
    struct cls_subtable *subtable;

    HMAP_FOR_EACH (subtable, hmap_node, &cursor->cls->subtables) {
        struct cls_rule *rule = search_subtable(subtable, cursor->target);
        if (rule) {
            cursor->subtable = subtable;
            return rule;
        }
    }

    return NULL;
}

/* Returns the next matching cls_rule in 'cursor''s iteration, or a null
 * pointer if there are no more matches. */
struct cls_rule *
cls_cursor_next(struct cls_cursor *cursor, const struct cls_rule *rule_)
{
    struct cls_rule *rule = CONST_CAST(struct cls_rule *, rule_);
    const struct cls_subtable *subtable;
    struct cls_rule *next;

    next = next_rule_in_list__(rule);
    if (next->priority < rule->priority) {
        return next;
    }

    /* 'next' is the head of the list, that is, the rule that is included in
     * the subtable's hmap.  (This is important when the classifier contains
     * rules that differ only in priority.) */
    rule = next;
    HMAP_FOR_EACH_CONTINUE (rule, hmap_node, &cursor->subtable->rules) {
        if (rule_matches(rule, cursor->target)) {
            return rule;
        }
    }

    subtable = cursor->subtable;
    HMAP_FOR_EACH_CONTINUE (subtable, hmap_node, &cursor->cls->subtables) {
        rule = search_subtable(subtable, cursor->target);
        if (rule) {
            cursor->subtable = subtable;
            return rule;
        }
    }

    return NULL;
}
\f
static struct cls_subtable *
find_subtable(const struct classifier *cls, const struct minimask *mask)
{
    struct cls_subtable *subtable;

    HMAP_FOR_EACH_IN_BUCKET (subtable, hmap_node, minimask_hash(mask, 0),
                             &cls->subtables) {
        if (minimask_equal(mask, &subtable->mask)) {
            return subtable;
        }
    }
    return NULL;
}

static struct cls_subtable *
insert_subtable(struct classifier *cls, const struct minimask *mask)
{
    uint32_t hash = minimask_hash(mask, 0);
    struct cls_subtable *subtable;
    int i, index = 0;
    struct flow_wildcards old, new;
    uint8_t prev;

    subtable = xzalloc(sizeof *subtable);
    hmap_init(&subtable->rules);
    minimask_clone(&subtable->mask, mask);

    /* Init indices for segmented lookup, if any. */
    flow_wildcards_init_catchall(&new);
    old = new;
    prev = 0;
    for (i = 0; i < cls->n_flow_segments; i++) {
        flow_wildcards_fold_minimask_range(&new, mask, prev,
                                           cls->flow_segments[i]);
        /* Add an index if it adds mask bits. */
        if (!flow_wildcards_equal(&new, &old)) {
            hindex_init(&subtable->indices[index]);
            subtable->index_ofs[index] = cls->flow_segments[i];
            index++;
            old = new;
        }
        prev = cls->flow_segments[i];
    }
    /* Check if the rest of the subtable's mask adds any bits,
     * and remove the last index if it doesn't. */
    if (index > 0) {
        flow_wildcards_fold_minimask_range(&new, mask, prev, FLOW_U32S);
        if (flow_wildcards_equal(&new, &old)) {
            --index;
            subtable->index_ofs[index] = 0;
            hindex_destroy(&subtable->indices[index]);
        }
    }
    subtable->n_indices = index;

    hmap_insert(&cls->subtables, &subtable->hmap_node, hash);
    list_push_back(&cls->subtables_priority, &subtable->list_node);
    subtable->tag = (minimask_get_metadata_mask(mask) == OVS_BE64_MAX
                     ? tag_create_deterministic(hash)
                     : TAG_ALL);

    for (i = 0; i < cls->n_tries; i++) {
        subtable->trie_plen[i] = minimask_get_prefix_len(mask,
                                                         cls->tries[i].field);
    }

    return subtable;
}

static void
destroy_subtable(struct classifier *cls, struct cls_subtable *subtable)
{
    int i;

    for (i = 0; i < subtable->n_indices; i++) {
        hindex_destroy(&subtable->indices[i]);
    }
    minimask_destroy(&subtable->mask);
    hmap_remove(&cls->subtables, &subtable->hmap_node);
    hmap_destroy(&subtable->rules);
    list_remove(&subtable->list_node);
    free(subtable);
}

/* This function performs the following updates for 'subtable' in 'cls'
 * following the addition of a new rule with priority 'new_priority' to
 * 'subtable':
 *
 *    - Update 'subtable->max_priority' and 'subtable->max_count' if necessary.
 *
 *    - Update 'subtable''s position in 'cls->subtables_priority' if necessary.
 *
 * This function should only be called after adding a new rule, not after
 * replacing a rule by an identical one or modifying a rule in-place. */
static void
update_subtables_after_insertion(struct classifier *cls,
                                 struct cls_subtable *subtable,
                                 unsigned int new_priority)
{
    if (new_priority == subtable->max_priority) {
        ++subtable->max_count;
    } else if (new_priority > subtable->max_priority) {
        struct cls_subtable *iter;

        subtable->max_priority = new_priority;
        subtable->max_count = 1;

        /* Possibly move 'subtable' earlier in the priority list.  If we break
         * out of the loop, then 'subtable' should be moved just after that
         * 'iter'.  If the loop terminates normally, then 'iter' will be the
         * list head and we'll move subtable just after that (e.g. to the front
         * of the list). */
        iter = subtable;
        LIST_FOR_EACH_REVERSE_CONTINUE (iter, list_node,
                                        &cls->subtables_priority) {
            if (iter->max_priority >= subtable->max_priority) {
                break;
            }
        }

        /* Move 'subtable' just after 'iter' (unless it's already there). */
        if (iter->list_node.next != &subtable->list_node) {
            list_splice(iter->list_node.next,
                        &subtable->list_node, subtable->list_node.next);
        }
    }
}

/* This function performs the following updates for 'subtable' in 'cls'
 * following the deletion of a rule with priority 'del_priority' from
 * 'subtable':
 *
 *    - Update 'subtable->max_priority' and 'subtable->max_count' if necessary.
 *
 *    - Update 'subtable''s position in 'cls->subtables_priority' if necessary.
 *
 * This function should only be called after removing a rule, not after
 * replacing a rule by an identical one or modifying a rule in-place. */
static void
update_subtables_after_removal(struct classifier *cls,
                               struct cls_subtable *subtable,
                               unsigned int del_priority)
{
    struct cls_subtable *iter;

    if (del_priority == subtable->max_priority && --subtable->max_count == 0) {
        struct cls_rule *head;

        subtable->max_priority = 0;
        HMAP_FOR_EACH (head, hmap_node, &subtable->rules) {
            if (head->priority > subtable->max_priority) {
                subtable->max_priority = head->priority;
                subtable->max_count = 1;
            } else if (head->priority == subtable->max_priority) {
                ++subtable->max_count;
            }
        }

        /* Possibly move 'subtable' later in the priority list.  If we break
         * out of the loop, then 'subtable' should be moved just before that
         * 'iter'.  If the loop terminates normally, then 'iter' will be the
         * list head and we'll move subtable just before that (e.g. to the back
         * of the list). */
        iter = subtable;
        LIST_FOR_EACH_CONTINUE (iter, list_node, &cls->subtables_priority) {
            if (iter->max_priority <= subtable->max_priority) {
                break;
            }
        }

        /* Move 'subtable' just before 'iter' (unless it's already there). */
        if (iter->list_node.prev != &subtable->list_node) {
            list_splice(&iter->list_node,
                        &subtable->list_node, subtable->list_node.next);
        }
    }
}

struct range {
    uint8_t start;
    uint8_t end;
};

/* Return 'true' if can skip rest of the subtable based on the prefix trie
 * lookup results. */
static inline bool
check_tries(struct trie_ctx trie_ctx[CLS_MAX_TRIES], unsigned int n_tries,
            const unsigned int field_plen[CLS_MAX_TRIES],
            const struct range ofs, const struct flow *flow,
            struct flow_wildcards *wc)
{
    int j;

    /* Check if we could avoid fully unwildcarding the next level of
     * fields using the prefix tries.  The trie checks are done only as
     * needed to avoid folding in additional bits to the wildcards mask. */
    for (j = 0; j < n_tries; j++) {
        /* Is the trie field relevant for this subtable? */
        if (field_plen[j]) {
            struct trie_ctx *ctx = &trie_ctx[j];
            uint8_t be32ofs = ctx->be32ofs;

            /* Is the trie field within the current range of fields? */
            if (be32ofs >= ofs.start && be32ofs < ofs.end) {
                /* On-demand trie lookup. */
                if (!ctx->lookup_done) {
                    ctx->match_plen = trie_lookup(ctx->trie, flow,
                                                  &ctx->maskbits);
                    ctx->lookup_done = true;
                }
                /* Possible to skip the rest of the subtable if subtable's
                 * prefix on the field is longer than what is known to match
                 * based on the trie lookup. */
                if (field_plen[j] > ctx->match_plen) {
                    /* RFC: We want the trie lookup to never result in
                     * unwildcarding any bits that would not be unwildcarded
                     * otherwise.  Since the trie is shared by the whole
                     * classifier, it is possible that the 'maskbits' contain
                     * bits that are irrelevant for the partition of the
                     * classifier relevant for the current flow. */

                    /* Can skip if the field is already unwildcarded. */
                    if (mask_prefix_bits_set(wc, be32ofs, ctx->maskbits)) {
                        return true;
                    }
                    /* Check that the trie result will not unwildcard more bits
                     * than this stage will. */
                    if (ctx->maskbits <= field_plen[j]) {
                        /* Unwildcard the bits and skip the rest. */
                        mask_set_prefix_bits(wc, be32ofs, ctx->maskbits);
                        /* Note: Prerequisite already unwildcarded, as the only
                         * prerequisite of the supported trie lookup fields is
                         * the ethertype, which is currently always
                         * unwildcarded.
                         */
                        return true;
                    }
                }
            }
        }
    }
    return false;
}

static inline struct cls_rule *
find_match(const struct cls_subtable *subtable, const struct flow *flow,
           uint32_t hash)
{
    struct cls_rule *rule;

    HMAP_FOR_EACH_WITH_HASH (rule, hmap_node, hash, &subtable->rules) {
        if (minimatch_matches_flow(&rule->match, flow)) {
            return rule;
        }
    }

    return NULL;
}

static struct cls_rule *
find_match_wc(const struct cls_subtable *subtable, const struct flow *flow,
              struct trie_ctx trie_ctx[CLS_MAX_TRIES], unsigned int n_tries,
              struct flow_wildcards *wc)
{
    uint32_t basis = 0, hash;
    struct cls_rule *rule = NULL;
    int i;
    struct range ofs;

    if (!wc) {
        return find_match(subtable, flow,
                          flow_hash_in_minimask(flow, &subtable->mask, 0));
    }

    ofs.start = 0;
    /* Try to finish early by checking fields in segments. */
    for (i = 0; i < subtable->n_indices; i++) {
        struct hindex_node *inode;
        ofs.end = subtable->index_ofs[i];

        if (check_tries(trie_ctx, n_tries, subtable->trie_plen, ofs, flow,
                        wc)) {
            goto range_out;
        }
        hash = flow_hash_in_minimask_range(flow, &subtable->mask, ofs.start,
                                           ofs.end, &basis);
        ofs.start = ofs.end;
        inode = hindex_node_with_hash(&subtable->indices[i], hash);
        if (!inode) {
            /* No match, can stop immediately, but must fold in the mask
             * covered so far. */
            goto range_out;
        }

        /* If we have narrowed down to a single rule already, check whether
         * that rule matches.  If it does match, then we're done.  If it does
         * not match, then we know that we will never get a match, but we do
         * not yet know how many wildcards we need to fold into 'wc' so we
         * continue iterating through indices to find that out.  (We won't
         * waste time calling minimatch_matches_flow() again because we've set
         * 'rule' nonnull.)
         *
         * This check shows a measurable benefit with non-trivial flow tables.
         *
         * (Rare) hash collisions may cause us to miss the opportunity for this
         * optimization. */
        if (!inode->s && !rule) {
            ASSIGN_CONTAINER(rule, inode - i, index_nodes);
            if (minimatch_matches_flow(&rule->match, flow)) {
                goto out;
            }
        }
    }
    ofs.end = FLOW_U32S;
    /* Trie check for the final range. */
    if (check_tries(trie_ctx, n_tries, subtable->trie_plen, ofs, flow, wc)) {
        goto range_out;
    }
    if (!rule) {
        /* Multiple potential matches exist, look for one. */
        hash = flow_hash_in_minimask_range(flow, &subtable->mask, ofs.start,
                                           ofs.end, &basis);
        rule = find_match(subtable, flow, hash);
    } else {
        /* We already narrowed the matching candidates down to just 'rule',
         * but it didn't match. */
        rule = NULL;
    }
 out:
    /* Must unwildcard all the fields, as they were looked at. */
    flow_wildcards_fold_minimask(wc, &subtable->mask);
    return rule;

 range_out:
    /* Must unwildcard the fields looked up so far, if any. */
    if (ofs.start) {
        flow_wildcards_fold_minimask_range(wc, &subtable->mask, 0, ofs.start);
    }
    return NULL;
}

static struct cls_rule *
find_equal(struct cls_subtable *subtable, const struct miniflow *flow,
           uint32_t hash)
{
    struct cls_rule *head;

    HMAP_FOR_EACH_WITH_HASH (head, hmap_node, hash, &subtable->rules) {
        if (miniflow_equal(&head->match.flow, flow)) {
            return head;
        }
    }
    return NULL;
}

static struct cls_rule *
insert_rule(struct classifier *cls, struct cls_subtable *subtable,
            struct cls_rule *new)
{
    struct cls_rule *head;
    struct cls_rule *old = NULL;
    int i;
    uint32_t basis = 0, hash;
    uint8_t prev_be32ofs = 0;

    /* Add new node to segment indices. */
    for (i = 0; i < subtable->n_indices; i++) {
        hash = minimatch_hash_range(&new->match, prev_be32ofs,
                                    subtable->index_ofs[i], &basis);
        hindex_insert(&subtable->indices[i], &new->index_nodes[i], hash);
        prev_be32ofs = subtable->index_ofs[i];
    }
    hash = minimatch_hash_range(&new->match, prev_be32ofs, FLOW_U32S, &basis);
    head = find_equal(subtable, &new->match.flow, hash);
    if (!head) {
        hmap_insert(&subtable->rules, &new->hmap_node, hash);
        list_init(&new->list);
        goto out;
    } else {
        /* Scan the list for the insertion point that will keep the list in
         * order of decreasing priority. */
        struct cls_rule *rule;

        new->hmap_node.hash = hash; /* Otherwise done by hmap_insert. */

        FOR_EACH_RULE_IN_LIST (rule, head) {
            if (new->priority >= rule->priority) {
                if (rule == head) {
                    /* 'new' is the new highest-priority flow in the list. */
                    hmap_replace(&subtable->rules,
                                 &rule->hmap_node, &new->hmap_node);
                }

                if (new->priority == rule->priority) {
                    list_replace(&new->list, &rule->list);
                    old = rule;
                    goto out;
                } else {
                    list_insert(&rule->list, &new->list);
                    goto out;
                }
            }
        }

        /* Insert 'new' at the end of the list. */
        list_push_back(&head->list, &new->list);
    }

 out:
    if (!old) {
        update_subtables_after_insertion(cls, subtable, new->priority);
    } else {
        /* Remove old node from indices. */
        for (i = 0; i < subtable->n_indices; i++) {
            hindex_remove(&subtable->indices[i], &old->index_nodes[i]);
        }
    }
    return old;
}

static struct cls_rule *
next_rule_in_list__(struct cls_rule *rule)
{
    struct cls_rule *next = OBJECT_CONTAINING(rule->list.next, next, list);
    return next;
}

static struct cls_rule *
next_rule_in_list(struct cls_rule *rule)
{
    struct cls_rule *next = next_rule_in_list__(rule);
    return next->priority < rule->priority ? next : NULL;
}
\f
/* A longest-prefix match tree. */
struct trie_node {
    uint32_t prefix;           /* Prefix bits for this node, MSB first. */
    uint8_t  nbits;            /* Never zero, except for the root node. */
    unsigned int n_rules;      /* Number of rules that have this prefix. */
    struct trie_node *edges[2]; /* Both NULL if leaf. */
};

/* Max bits per node.  Must fit in struct trie_node's 'prefix'.
 * Also tested with 16, 8, and 5 to stress the implementation. */
#define TRIE_PREFIX_BITS 32

/* Return at least 'plen' bits of the 'prefix', starting at bit offset 'ofs'.
 * Prefixes are in the network byte order, and the offset 0 corresponds to
 * the most significant bit of the first byte.  The offset can be read as
 * "how many bits to skip from the start of the prefix starting at 'pr'". */
static uint32_t
raw_get_prefix(const ovs_be32 pr[], unsigned int ofs, unsigned int plen)
{
    uint32_t prefix;

    pr += ofs / 32; /* Where to start. */
    ofs %= 32;      /* How many bits to skip at 'pr'. */

    prefix = ntohl(*pr) << ofs; /* Get the first 32 - ofs bits. */
    if (plen > 32 - ofs) {      /* Need more than we have already? */
        prefix |= ntohl(*++pr) >> (32 - ofs);
    }
    /* Return with possible unwanted bits at the end. */
    return prefix;
}

/* Return min(TRIE_PREFIX_BITS, plen) bits of the 'prefix', starting at bit
 * offset 'ofs'.  Prefixes are in the network byte order, and the offset 0
 * corresponds to the most significant bit of the first byte.  The offset can
 * be read as "how many bits to skip from the start of the prefix starting at
 * 'pr'". */
static uint32_t
trie_get_prefix(const ovs_be32 pr[], unsigned int ofs, unsigned int plen)
{
    if (!plen) {
        return 0;
    }
    if (plen > TRIE_PREFIX_BITS) {
        plen = TRIE_PREFIX_BITS; /* Get at most TRIE_PREFIX_BITS. */
    }
    /* Return with unwanted bits cleared. */
    return raw_get_prefix(pr, ofs, plen) & ~0u << (32 - plen);
}

/* Return the number of equal bits in 'nbits' of 'prefix's MSBs and a 'value'
 * starting at "MSB 0"-based offset 'ofs'. */
static unsigned int
prefix_equal_bits(uint32_t prefix, unsigned int nbits, const ovs_be32 value[],
                  unsigned int ofs)
{
    uint64_t diff = prefix ^ raw_get_prefix(value, ofs, nbits);
    /* Set the bit after the relevant bits to limit the result. */
    return raw_clz64(diff << 32 | UINT64_C(1) << (63 - nbits));
}

/* Return the number of equal bits in 'node' prefix and a 'prefix' of length
 * 'plen', starting at "MSB 0"-based offset 'ofs'. */
static unsigned int
trie_prefix_equal_bits(const struct trie_node *node, const ovs_be32 prefix[],
                       unsigned int ofs, unsigned int plen)
{
    return prefix_equal_bits(node->prefix, MIN(node->nbits, plen - ofs),
                             prefix, ofs);
}

/* Return the bit at ("MSB 0"-based) offset 'ofs' as an int.  'ofs' can
 * be greater than 31. */
static unsigned int
be_get_bit_at(const ovs_be32 value[], unsigned int ofs)
{
    return (((const uint8_t *)value)[ofs / 8] >> (7 - ofs % 8)) & 1u;
}

/* Return the bit at ("MSB 0"-based) offset 'ofs' as an int.  'ofs' must
 * be between 0 and 31, inclusive. */
static unsigned int
get_bit_at(const uint32_t prefix, unsigned int ofs)
{
    return (prefix >> (31 - ofs)) & 1u;
}

/* Create new branch. */
static struct trie_node *
trie_branch_create(const ovs_be32 *prefix, unsigned int ofs, unsigned int plen,
                   unsigned int n_rules)
{
    struct trie_node *node = xmalloc(sizeof *node);

    node->prefix = trie_get_prefix(prefix, ofs, plen);

    if (plen <= TRIE_PREFIX_BITS) {
        node->nbits = plen;
        node->edges[0] = NULL;
        node->edges[1] = NULL;
        node->n_rules = n_rules;
    } else { /* Need intermediate nodes. */
        struct trie_node *subnode = trie_branch_create(prefix,
                                                       ofs + TRIE_PREFIX_BITS,
                                                       plen - TRIE_PREFIX_BITS,
                                                       n_rules);
        int bit = get_bit_at(subnode->prefix, 0);
        node->nbits = TRIE_PREFIX_BITS;
        node->edges[bit] = subnode;
        node->edges[!bit] = NULL;
        node->n_rules = 0;
    }
    return node;
}

static void
trie_node_destroy(struct trie_node *node)
{
    free(node);
}

static void
trie_destroy(struct trie_node *node)
{
    if (node) {
        trie_destroy(node->edges[0]);
        trie_destroy(node->edges[1]);
        free(node);
    }
}

static bool
trie_is_leaf(const struct trie_node *trie)
{
    return !trie->edges[0] && !trie->edges[1]; /* No children. */
}

static void
mask_set_prefix_bits(struct flow_wildcards *wc, uint8_t be32ofs,
                     unsigned int nbits)
{
    ovs_be32 *mask = &((ovs_be32 *)&wc->masks)[be32ofs];
    unsigned int i;

    for (i = 0; i < nbits / 32; i++) {
        mask[i] = OVS_BE32_MAX;
    }
    if (nbits % 32) {
        mask[i] |= htonl(~0u << (32 - nbits % 32));
    }
}

static bool
mask_prefix_bits_set(const struct flow_wildcards *wc, uint8_t be32ofs,
                     unsigned int nbits)
{
    ovs_be32 *mask = &((ovs_be32 *)&wc->masks)[be32ofs];
    unsigned int i;
    ovs_be32 zeroes = 0;

    for (i = 0; i < nbits / 32; i++) {
        zeroes |= ~mask[i];
    }
    if (nbits % 32) {
        zeroes |= ~mask[i] & htonl(~0u << (32 - nbits % 32));
    }

    return !zeroes; /* All 'nbits' bits set. */
}

static struct trie_node **
trie_next_edge(struct trie_node *node, const ovs_be32 value[],
               unsigned int ofs)
{
    return node->edges + be_get_bit_at(value, ofs);
}

static const struct trie_node *
trie_next_node(const struct trie_node *node, const ovs_be32 value[],
               unsigned int ofs)
{
    return node->edges[be_get_bit_at(value, ofs)];
}

/* Return the prefix mask length necessary to find the longest-prefix match for
 * the '*value' in the prefix tree 'node'.
 * '*checkbits' is set to the number of bits in the prefix mask necessary to
 * determine a mismatch, in case there are longer prefixes in the tree below
 * the one that matched.
 */
static unsigned int
trie_lookup_value(const struct trie_node *node, const ovs_be32 value[],
                  unsigned int *checkbits)
{
    unsigned int plen = 0, match_len = 0;
    const struct trie_node *prev = NULL;

    for (; node; prev = node, node = trie_next_node(node, value, plen)) {
        unsigned int eqbits;
        /* Check if this edge can be followed. */
        eqbits = prefix_equal_bits(node->prefix, node->nbits, value, plen);
        plen += eqbits;
        if (eqbits < node->nbits) { /* Mismatch, nothing more to be found. */
            /* Bit at offset 'plen' differed. */
            *checkbits = plen + 1; /* Includes the first mismatching bit. */
            return match_len;
        }
        /* Full match, check if rules exist at this prefix length. */
        if (node->n_rules > 0) {
            match_len = plen;
        }
    }
    /* Dead end, exclude the other branch if it exists. */
    *checkbits = !prev || trie_is_leaf(prev) ? plen : plen + 1;
    return match_len;
}

static unsigned int
trie_lookup(const struct cls_trie *trie, const struct flow *flow,
            unsigned int *checkbits)
{
    const struct mf_field *mf = trie->field;

    /* Check that current flow matches the prerequisites for the trie
     * field.  Some match fields are used for multiple purposes, so we
     * must check that the trie is relevant for this flow. */
    if (mf_are_prereqs_ok(mf, flow)) {
        return trie_lookup_value(trie->root,
                                 &((ovs_be32 *)flow)[mf->flow_be32ofs],
                                 checkbits);
    }
    *checkbits = 0; /* Value not used in this case. */
    return UINT_MAX;
}

/* Returns the length of a prefix match mask for the field 'mf' in 'minimask'.
 * Returns the u32 offset to the miniflow data in '*miniflow_index', if
 * 'miniflow_index' is not NULL. */
static unsigned int
minimask_get_prefix_len(const struct minimask *minimask,
                        const struct mf_field *mf)
{
    unsigned int nbits = 0, mask_tz = 0; /* Non-zero when end of mask seen. */
    uint8_t u32_ofs = mf->flow_be32ofs;
    uint8_t u32_end = u32_ofs + mf->n_bytes / 4;

    for (; u32_ofs < u32_end; ++u32_ofs) {
        uint32_t mask;
        mask = ntohl((OVS_FORCE ovs_be32)minimask_get(minimask, u32_ofs));

        /* Validate mask, count the mask length. */
        if (mask_tz) {
            if (mask) {
                return 0; /* No bits allowed after mask ended. */
            }
        } else {
            if (~mask & (~mask + 1)) {
                return 0; /* Mask not contiguous. */
            }
            mask_tz = ctz32(mask);
            nbits += 32 - mask_tz;
        }
    }

    return nbits;
}

/*
 * This is called only when mask prefix is known to be CIDR and non-zero.
 * Relies on the fact that the flow and mask have the same map, and since
 * the mask is CIDR, the storage for the flow field exists even if it
 * happened to be zeros.
 */
static const ovs_be32 *
minimatch_get_prefix(const struct minimatch *match, const struct mf_field *mf)
{
    return match->flow.values +
        count_1bits(match->flow.map & ((UINT64_C(1) << mf->flow_be32ofs) - 1));
}

/* Insert rule in to the prefix tree.
 * 'mlen' must be the (non-zero) CIDR prefix length of the 'trie->field' mask
 * in 'rule'. */
static void
trie_insert(struct cls_trie *trie, const struct cls_rule *rule, int mlen)
{
    const ovs_be32 *prefix = minimatch_get_prefix(&rule->match, trie->field);
    struct trie_node *node;
    struct trie_node **edge;
    int ofs = 0;

    /* Walk the tree. */
    for (edge = &trie->root;
         (node = *edge) != NULL;
         edge = trie_next_edge(node, prefix, ofs)) {
        unsigned int eqbits = trie_prefix_equal_bits(node, prefix, ofs, mlen);
        ofs += eqbits;
        if (eqbits < node->nbits) {
            /* Mismatch, new node needs to be inserted above. */
            int old_branch = get_bit_at(node->prefix, eqbits);

            /* New parent node. */
            *edge = trie_branch_create(prefix, ofs - eqbits, eqbits,
                                       ofs == mlen ? 1 : 0);

            /* Adjust old node for its new position in the tree. */
            node->prefix <<= eqbits;
            node->nbits -= eqbits;
            (*edge)->edges[old_branch] = node;

            /* Check if need a new branch for the new rule. */
            if (ofs < mlen) {
                (*edge)->edges[!old_branch]
                    = trie_branch_create(prefix, ofs, mlen - ofs, 1);
            }
            return;
        }
        /* Full match so far. */

        if (ofs == mlen) {
            /* Full match at the current node, rule needs to be added here. */
            node->n_rules++;
            return;
        }
    }
    /* Must insert a new tree branch for the new rule. */
    *edge = trie_branch_create(prefix, ofs, mlen - ofs, 1);
}

/* 'mlen' must be the (non-zero) CIDR prefix length of the 'trie->field' mask
 * in 'rule'. */
static void
trie_remove(struct cls_trie *trie, const struct cls_rule *rule, int mlen)
{
    const ovs_be32 *prefix = minimatch_get_prefix(&rule->match, trie->field);
    struct trie_node *node;
    struct trie_node **edges[sizeof(union mf_value) * 8];
    int depth = 0, ofs = 0;

    /* Walk the tree. */
    for (edges[depth] = &trie->root;
         (node = *edges[depth]) != NULL;
         edges[++depth] = trie_next_edge(node, prefix, ofs)) {
        unsigned int eqbits = trie_prefix_equal_bits(node, prefix, ofs, mlen);
        if (eqbits < node->nbits) {
            /* Mismatch, nothing to be removed.  This should never happen, as
             * only rules in the classifier are ever removed. */
            break; /* Log a warning. */
        }
        /* Full match so far. */
        ofs += eqbits;

        if (ofs == mlen) {
            /* Full prefix match at the current node, remove rule here. */
            if (!node->n_rules) {
                break; /* Log a warning. */
            }
            node->n_rules--;

            /* Check if can prune the tree. */
            while (!node->n_rules && !(node->edges[0] && node->edges[1])) {
                /* No rules and at most one child node, remove this node. */
                struct trie_node *next;
                next = node->edges[0] ? node->edges[0] : node->edges[1];

                if (next) {
                    if (node->nbits + next->nbits > TRIE_PREFIX_BITS) {
                        break;   /* Cannot combine. */
                    }
                    /* Combine node with next. */
                    next->prefix = node->prefix | next->prefix >> node->nbits;
                    next->nbits += node->nbits;
                }
                trie_node_destroy(node);
                /* Update the parent's edge. */
                *edges[depth] = next;
                if (next || !depth) {
                    /* Branch not pruned or at root, nothing more to do. */
                    break;
                }
                node = *edges[--depth];
            }
            return;
        }
    }
    /* Cannot go deeper. This should never happen, since only rules
     * that actually exist in the classifier are ever removed. */
    VLOG_WARN("Trying to remove non-existing rule from a prefix trie.");
}