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|
/* Level-Compressed Tree Bitmap (LC-TBM) Trie implementation
*
* Contributed by Geoffrey T. Dairiki <dairiki@dairiki.org>
*
* This file is released under a "Three-clause BSD License".
*
* Copyright (c) 2013, Geoffrey T. Dairiki
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* * Redistributions in binary form must reproduce the above
* copyright notice, this list of conditions and the following
* disclaimer in the documentation and/or other materials provided
* with the distribution.
*
* * Neither the name of Geoffrey T. Dairiki nor the names of other
* contributors may be used to endorse or promote products derived
* from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL GEOFFREY
* T. DAIRIKI BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
* DAMAGE.
*/
/*****************************************************************
*
* This code implements a routing table conceptually based on a binary
* trie structure. Internally, the trie is represented by two types
* of compound nodes: "multibit nodes", which contain the top few
* levels of an entire binary subtree; and "level compression" (LC)
* nodes which represent a (potentially long) chain of out-degree one
* (single child) binary nodes (possibly ending at a terminal node).
*
* The multibit nodes are represented using a "Tree Bitmap" structure
* (more on this below), which is very efficient --- both in terms of
* memory usage and lookup speed --- at representing densely branching
* parts of the trie. The LC nodes can efficiently represent long
* non-branching chains of binary trie nodes. Using both node types
* together results in efficient representation of both the sparse and
* dense parts of a binary trie.
*
* Graphically, here's the rough idea:
*
* ........
* .LC o .
* . / . LC nodes can
* . o . <= represent long chains
* . \ . of (non-branching) binary
* . o . trie nodes
* . / .
* . o .
* ......../.....
* .TBM o .
* . / \ . TBM nodes can represent
* . o * . <= several levels of densely
* . / \ . branching binary trie nodes
* . o o .
* ......./.....\.......
* .TBM o .. o LC.
* . / \ .. \ .
* . o o .. o .
* . / / \ .. \ .
* . * o *.. o .
* ...../....... / .
* . o LC. . o .
* . \ . .....\......
* . * . . o TBM.
* ........ . / \ .
* . o o .
* . / \ \ .
* .* * *.
* ...........
*
* Terminology
* -----------
*
* node
* Usually, in the comments below, "node" will be used to refer to
* a compound node: either a multibit (TBM) node or an LC node.
*
* "internal node" or "prefix"
* The terms "prefix" or "internal node" are used to refer to
* a node in the binary trie which is internal to a multibit (TBM)
* node.
*
* ----------------------------------------------------------------
*
* Internal Representation of the Nodes
* ====================================
*
* Multibit (TBM) Nodes
* ~~~~~~~~~~~~~~~~~~~~
*
* The multibit nodes are represented using a "Tree Bitmap" (TBM)
* structure as described by Eatherton, Dittia and Varghese[1]. See
* the paper referenced below for basic details.
*
* A multibit node, represents several levels of a binary trie.
* For example, here is a multibit node of stride 2 (which represent
* two levels of a binary trie.
*
* +------- | ------+
* | multi o |
* | bit / \ |
* | node / \ |
* | o * |
* +--- / \ - / \ --+
* O
*
* Note that, for a multibit node of stride S, there are 2^S - 1 internal
* nodes, each of which may have data (or not) associated with them, and
* 2^S "external paths" leading to other (possibly compound nodes).
* (In the diagram above, one of three internal node (the one denoted by "*")
* has data, and one of four extending paths leads to an external node
* (denoted by the 'O').)
*
* The TBM structure can represent these bitmaps in a very memory-efficient
* manner.
*
* Each TBM node consists of two bitmaps --- the "internal bitmap" and the
* "extending paths bitmap" --- and a pointer which points to an array
* which contains both the extending path ("child") nodes and any
* internal prefix data for the TBM node.
*
* +--------+--------+
* TBM | ext bm | int bm |
* Node +--------+--------+
* | pointer |----+
* +-----------------+ |
* |
* |
* +-----------------+ |
* | extending path | |
* | node[N-1] | |
* +-----------------+ |
* / ... / |
* / ... / |
* +-----------------+ |
* | extending path | |
* | node[0] | |
* +-----------------+<---+
* | int. data[M-1] |
* +-----------------+
* / ... /
* +-----------------+
* | int. data[0] |
* +-----------------+
*
* The extending paths bitmap (or "ext bitmap") has one bit for each
* possible "extending path" from the bottom of the multibit node. To
* check if a particular extending path is present, one checks to see if
* the corresponding bit is set in the ext bitmap. The index into the
* array of children for that path can be found by counting the number
* of set bits to the left of that bit.
*
* Similarly, the internal bitmap has one bit for each binary node
* which is internal to the multibit node. To determine whether there
* is data stored for an internal prefix, one checks the corresponding
* bit in the internal bitmap. As for extending paths, the index into
* the array of internal data is found by counting the number of set
* bits to the left of that bit.
*
* To save space in the node structure, the node data array is stored
* contiguously with the node extending path array. The single
* ("children") pointer in the TBM structure points to the beginning
* of the array of extending path nodes and to (one past) the end of
* the the internal data array.
*
* The multibit stride is chosen so that the entire TBM node structure fits
* in the space of two pointers. On 32 bit machines this means the stride
* is four (each of the two bitmaps is 16 bits); on 32 bit machines the
* stride is five.
*
* Note that there are only 2^stride - 1 internal prefixes in a TBM
* node. That means there is one unused bit in the internal bitmap.
* We require that that bit must always be clear for a TBM node. (If
* set, it indicates that the structure represents, instead, an LC
* node. See below.)
*
* ----------------------------------------------------------------
*
* Level Compression (LC) Nodes
* ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
* LC nodes are used to represent a chain of out-degree-one (single
* child) prefixes in the binary trie. The are represented by a bit
* string (the "relative prefix") along with its length and a pointer
* to the extending path (the next node past the LC node.)
*
*
* Non-Terminal LC Node:
*
* +------------------+-------+
* | relative prefix |1|0|len|
* +------------------+-------+
* | ptr.child |--+
* +--------------------------+ |
* |
* |
* +--------------------------+ |
* | Next node - | |
* | either LC or TBM | |
* | | |
* +--------------------------+<-+
*
* The Relative Prefix
* -------------------
*
* The maximum relative prefix per LC node is selected so that (again)
* the entire node structure fits in the space of two pointers. On 32 bit
* machines, the maximum relative prefix is 24 bits; on 62 bit machines
* the limit is 56 bits.
*
* In the LC node structure, the relative prefix is stored as an array
* of bytes. To avoid some bit-shifting during tree searches, these
* bytes are byte-aligned with the global prefix. In other words, in
* general there are (pos % 8) "pad" bits at the beginning of the
* relative prefix --- where pos "starting bit" (or depth in the
* binary tree) of the LC node --- which really belong to the parent
* node(s) of the LC node. For efficiency (so that we don't have to
* mask them out when matching) we require that these pad bits be
* correct --- they must match the path which leads to the LC node.
*
* The relative prefix length stored in the LC node structure does not
* count the pad bits.
*
* Terminal Node Compression
* -------------------------
*
* For memory efficiency, we also support "terminal LC" nodes. When
* the extension path from an LC node consists a single terminal node,
* we store that terminal nodes data directly in the parent LC node.
*
* Instead of this:
*
* +------------------+-------+
* | relative prefix |1|0|len|
* +------------------+-------+
* | ptr.child |--+
* +--------------------------+ |
* |
* +--------------------------+ |
* | Terminal Node (TBM node, | |
* | empty except for the | |
* +--| root internal node.) | |
* | +--------------------------+<-+
* |
* +->+--------------------------+
* | terminal node data |
* +--------------------------+
*
* We can do this:
*
* +------------------+-------+
* | relative prefix |1|1|len|
* +------------------+-------+
* | terminal node data |
* +--------------------------+
*
* Terminal LC nodes are differentiated from non-terminal LC nodes
* by the setting of the is_terminal flag.
*
* Node Structure Packing Details
* ------------------------------
*
* The LC and TBM node structures are carefully packed so that the
* "is_lc" flag (which indicates that a node is an LC node)
* corresponds to the one unused bit in the internal bitmap of the TBM
* node structure (which we require to be zero for TBM nodes).
*
* ----------------------------------------------------------------
*
* References
* ==========
*
* [1] Will Eatherton, George Varghese, and Zubin Dittia. 2004. Tree
* bitmap: hardware/software IP lookups with incremental
* updates. SIGCOMM Comput. Commun. Rev. 34, 2 (April 2004),
* 97-122. DOI=10.1145/997150.997160
* http://doi.acm.org/10.1145/997150.997160
* http://comnet.kaist.ac.kr/yhlee/CN_2008_Spring/readings/Eath-04-tree_bitmap.pdf
*
****************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <setjmp.h>
#if defined(TEST) && defined(NDEBUG)
# warning undefining NDEBUG for TEST build
# undef NDEBUG
#endif
#include <assert.h>
#include "btrie.h"
#include "libutil/mem_pool.h"
#ifdef __SIZEOF_POINTER__
#define SIZEOF_VOID_P __SIZEOF_POINTER__
#else
#if defined(__ILP32__) || defined(__ILP32) || defined(_ILP32)
# define SIZEOF_VOID_P 4
#elif defined(__ILP64__) || defined(__ILP64) || defined(_ILP64)
# define SIZEOF_VOID_P 8
#elif defined(__LLP64__) || defined(__LLP64) || defined(_LLP64) || defined(_WIN64)
# define SIZEOF_VOID_P 8
#elif defined(__LP64__) || defined(__LP64) || defined(_LP64)
# define SIZEOF_VOID_P 8
#elif defined(UINTPTR_MAX) && defined(UINT64_MAX) && (UINTPTR_MAX == UINT64_MAX)
# define SIZEOF_VOID_P 8
#else
# define SIZEOF_VOID_P 4
#endif
#endif
#if SIZEOF_VOID_P == 4
# define TBM_STRIDE 4
#elif SIZEOF_VOID_P == 8
# define TBM_STRIDE 5
#else
# error "Unsupported word size"
#endif
#ifndef NO_STDINT_H
# if TBM_STRIDE == 4
typedef uint16_t tbm_bitmap_t;
# else
typedef uint32_t tbm_bitmap_t;
# endif
#else /* NO_STDINT_H */
# if TBM_STRIDE == 4
# if SIZEOF_SHORT == 2
typedef short unsigned tbm_bitmap_t;
# else
# error "can not determine type for 16 bit unsigned int"
# endif
# else /* TBM_STRIDE == 5 */
# if SIZEOF_INT == 4
typedef unsigned tbm_bitmap_t;
# elif SIZEOF_LONG == 4
typedef long unsigned tbm_bitmap_t;
# else
# error "can not determine type for 32 bit unsigned int"
# endif
# endif
#endif
#define TBM_FANOUT (1U << TBM_STRIDE)
#define LC_BYTES_PER_NODE (SIZEOF_VOID_P - 1)
typedef union node_u node_t;
/* The tbm_node and lc_node structs must be packed so that the the
* high bit (LC_FLAGS_IS_LC) of lc_flags in the the lc_node struct
* coincides with bit zero (the most significant bit) of tbm_node's
* int_bm. (This bit is how we differentiate between the two node
* types. It is always clear for a tbm_node and always set for an
* lc_node.)
*/
struct tbm_node
{
#ifdef WORDS_BIGENDIAN
tbm_bitmap_t int_bm; /* the internal bitmap */
tbm_bitmap_t ext_bm; /* extending path ("external") bitmap */
#else
tbm_bitmap_t ext_bm; /* extending path ("external") bitmap */
tbm_bitmap_t int_bm; /* the internal bitmap */
#endif
union
{
node_t *children; /* pointer to array of children */
const void **data_end; /* one past end of internal prefix data array */
} ptr;
};
struct lc_node
{
/* lc_flags contains the LC prefix length and a couple of bit flags
* (apparently char-sized bit fields are a gcc extension)
*/
# define LC_FLAGS_IS_LC 0x80
# define LC_FLAGS_IS_TERMINAL 0x40
# define LC_FLAGS_LEN_MASK 0x3f
#ifdef WORDS_BIGENDIAN
btrie_oct_t lc_flags;
btrie_oct_t prefix[LC_BYTES_PER_NODE];
#else
btrie_oct_t prefix[LC_BYTES_PER_NODE];
btrie_oct_t lc_flags;
#endif
union
{
node_t *child; /* pointer to child (if !is_terminal) */
const void *data; /* the prefix data (if is_terminal) */
} ptr;
};
union node_u
{
struct tbm_node tbm_node;
struct lc_node lc_node;
};
struct free_hunk
{
struct free_hunk *next;
};
#define MAX_CHILD_ARRAY_LEN (TBM_FANOUT + TBM_FANOUT / 2)
struct btrie
{
node_t root;
rspamd_mempool_t *mp;
struct free_hunk *free_list[MAX_CHILD_ARRAY_LEN];
jmp_buf exception;
/* mem mgmt stats */
size_t alloc_total; /* total bytes allocated from mempool */
size_t alloc_data; /* bytes allocated for TBM node int. prefix data */
size_t alloc_waste; /* bytes wasted by rounding of data array size */
#ifdef BTRIE_DEBUG_ALLOC
size_t alloc_hist[MAX_CHILD_ARRAY_LEN * 2]; /* histogram of alloc sizes */
#endif
/* trie stats */
size_t n_entries; /* number of entries */
size_t n_tbm_nodes; /* total number of TBM nodes in tree */
size_t n_lc_nodes; /* total number of LC nodes in tree */
};
/****************************************************************
*
* Memory management
*
* We will need to frequently resize child/data arrays. The current
* mempool implementation does not support resizing/freeing, so here
* we roll our own.
*/
static inline void _free_hunk(struct btrie *btrie, void *buf, unsigned n_nodes)
{
struct free_hunk *hunk = buf;
hunk->next = btrie->free_list[n_nodes - 1];
btrie->free_list[n_nodes - 1] = hunk;
}
static inline void *
_get_hunk(struct btrie *btrie, unsigned n_nodes)
{
struct free_hunk *hunk = btrie->free_list[n_nodes - 1];
if (hunk != NULL)
btrie->free_list[n_nodes - 1] = hunk->next;
return hunk;
}
/* Get pointer to uninitialized child/data array.
*
* Allocates memory for an array of NDATA (void *)s followed by an
* array of NCHILDREN (node_t)s. The returned pointer points to to
* beginning of the children array (i.e. it points to (one past) the
* end of the data array.)
*/
static node_t *
alloc_nodes(struct btrie *btrie, unsigned nchildren, unsigned ndata)
{
size_t n_nodes = nchildren + (ndata + 1) / 2;
node_t *hunk;
assert(n_nodes > 0 && n_nodes <= MAX_CHILD_ARRAY_LEN);
hunk = _get_hunk (btrie, n_nodes);
if (hunk == NULL) {
/* Do not have free hunk of exactly the requested size, look for a
* larger hunk. (The funny order in which we scan the buckets is
* heuristically selected in an attempt to minimize unnecessary
* creation of small fragments)
*/
size_t n, skip = n_nodes > 4 ? 4 : n_nodes;
for (n = n_nodes + skip; n <= MAX_CHILD_ARRAY_LEN; n++) {
if ((hunk = _get_hunk (btrie, n)) != NULL) {
_free_hunk (btrie, hunk + n_nodes, n - n_nodes);
goto DONE;
}
}
for (n = n_nodes + 1; n < n_nodes + skip && n <= MAX_CHILD_ARRAY_LEN;
n++) {
if ((hunk = _get_hunk (btrie, n)) != NULL) {
_free_hunk (btrie, hunk + n_nodes, n - n_nodes);
goto DONE;
}
}
/* failed to find free hunk, allocate a fresh one */
hunk = rspamd_mempool_alloc0 (btrie->mp, n_nodes * sizeof(node_t));
if (hunk == NULL)
longjmp (btrie->exception, BTRIE_ALLOC_FAILED);
btrie->alloc_total += n_nodes * sizeof(node_t);
}
DONE: btrie->alloc_data += ndata * sizeof(void *);
btrie->alloc_waste += (ndata % 2) * sizeof(void *);
#ifdef BTRIE_DEBUG_ALLOC
btrie->alloc_hist[2 * nchildren + ndata]++;
#endif
/* adjust pointer to allow room for data array before child array */
return hunk + (ndata + 1) / 2;
}
/* Free memory allocated by alloc_nodes */
static void free_nodes(struct btrie *btrie, node_t *buf, unsigned nchildren,
unsigned ndata)
{
size_t n_nodes = nchildren + (ndata + 1) / 2;
assert(n_nodes > 0 && n_nodes <= MAX_CHILD_ARRAY_LEN);
_free_hunk (btrie, buf - (ndata + 1) / 2, n_nodes);
btrie->alloc_data -= ndata * sizeof(void *);
btrie->alloc_waste -= (ndata % 2) * sizeof(void *);
#ifdef BTRIE_DEBUG_ALLOC
btrie->alloc_hist[2 * nchildren + ndata]--;
#endif
}
/* Debugging/development only: */
#ifdef BTRIE_DEBUG_ALLOC
static void
dump_alloc_hist(const struct btrie *btrie)
{
unsigned bin;
size_t total_alloc = 0;
size_t total_free = 0;
size_t total_bytes = 0;
size_t total_waste = 0;
size_t total_free_bytes = 0;
puts("hunk alloc free alloc wasted free");
puts("size hunks hunks bytes bytes bytes");
puts("==== ====== ====== ======== ======== ========");
for (bin = 1; bin < 2 * MAX_CHILD_ARRAY_LEN; bin++) {
size_t n_alloc = btrie->alloc_hist[bin];
size_t bytes = n_alloc * bin * sizeof(void *);
size_t waste_bytes = (bin % 2) * n_alloc * sizeof(void *);
size_t n_free = 0, free_bytes;
if (bin % 2 == 0) {
const struct free_hunk *hunk;
for (hunk = btrie->free_list[bin / 2 - 1]; hunk; hunk = hunk->next)
n_free++;
}
free_bytes = n_free * bin * sizeof(void *);
printf("%3zu: %6zu %6zu %8zu %8zu %8zu\n", bin * sizeof(void *),
n_alloc, n_free, bytes, waste_bytes, free_bytes);
total_alloc += n_alloc;
total_free += n_free;
total_bytes += bytes;
total_waste += waste_bytes;
total_free_bytes += free_bytes;
}
puts("---- ------ ------ -------- -------- --------");
printf("SUM: %6zu %6zu %8zu %8zu %8zu\n",
total_alloc, total_free, total_bytes, total_waste, total_free_bytes);
}
#endif
/****************************************************************
*
* Bit twiddling
*
*/
static inline tbm_bitmap_t bit(unsigned b)
{
return 1U << ((1 << TBM_STRIDE) - 1 - b);
}
/* count the number of set bits in bitmap
*
* algorithm from
* http://graphics.stanford.edu/~seander/bithacks.html#CountBitsSetParallel
*/
static inline unsigned count_bits(tbm_bitmap_t v)
{
/* Count set bits in parallel. */
/* v = (v & 0x5555...) + ((v >> 1) & 0x5555...); */
v -= (v >> 1) & (tbm_bitmap_t) ~0UL / 3;
/* v = (v & 0x3333...) + ((v >> 2) & 0x3333...); */
v = (v & (tbm_bitmap_t) ~0UL / 5) + ((v >> 2) & (tbm_bitmap_t) ~0UL / 5);
/* v = (v & 0x0f0f...) + ((v >> 4) & 0x0f0f...); */
v = (v + (v >> 4)) & (tbm_bitmap_t) ~0UL / 17;
/* v = v % 255; */
#if TBM_STRIDE == 4
/* tbm_bitmap_t is uint16_t, avoid the multiply */
return (v + (v >> 8)) & 0x0ff;
#else
return (v * (tbm_bitmap_t) (~0UL / 255)) >> ((sizeof(tbm_bitmap_t) - 1) * 8);
#endif
}
static inline unsigned count_bits_before(tbm_bitmap_t bm, int b)
{
return b ? count_bits (bm >> ((1 << TBM_STRIDE) - b)) : 0;
}
static inline unsigned count_bits_from(tbm_bitmap_t bm, int b)
{
return count_bits (bm << b);
}
/* extracts a few bits from bitstring, returning them as an integer */
static inline btrie_oct_t RSPAMD_NO_SANITIZE extract_bits(const btrie_oct_t *prefix, unsigned pos,
unsigned nbits)
{
if (nbits == 0)
return 0;
else {
unsigned v = (prefix[pos / 8] << 8) + prefix[pos / 8 + 1];
return (v >> (16 - nbits - pos % 8)) & ((1U << nbits) - 1);
}
}
static inline unsigned extract_bit(const btrie_oct_t *prefix, int pos)
{
return (prefix[pos / 8] >> (7 - pos % 8)) & 0x01;
}
/* get mask for high n bits of a byte */
static inline btrie_oct_t high_bits(unsigned n)
{
return (btrie_oct_t) -(1U << (8 - n));
}
/* determine whether two prefixes are equal */
static inline int prefixes_equal(const btrie_oct_t *pfx1,
const btrie_oct_t *pfx2, unsigned len)
{
return (memcmp (pfx1, pfx2, len / 8) == 0
&& (len % 8 == 0 ||
((pfx1[len / 8] ^ pfx2[len / 8]) & high_bits (len % 8)) == 0));
}
/* determine length of longest common subprefix */
static inline unsigned common_prefix(const btrie_oct_t *pfx1,
const btrie_oct_t *pfx2, unsigned len)
{
/* algorithm adapted from
* http://graphics.stanford.edu/~seander/bithacks.html#IntegerLogLookup
*/
static btrie_oct_t leading_zeros[] =
{ 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, };
unsigned nb;
for (nb = 0; nb < len / 8; nb++) {
unsigned diff = *pfx1++ ^ *pfx2++;
if (diff != 0)
return 8 * nb + leading_zeros[diff];
}
if (len % 8) {
unsigned n = leading_zeros[*pfx1 ^ *pfx2];
if (n < len % 8)
return 8 * nb + n;
}
return len;
}
/****************************************************************
*/
static inline int is_empty_node(const node_t *node)
{
return node->tbm_node.ext_bm == 0 && node->tbm_node.int_bm == 0;
}
static inline int is_lc_node(const node_t *node)
{
return (node->lc_node.lc_flags & LC_FLAGS_IS_LC) != 0;
}
static inline int is_tbm_node(const node_t *node)
{
return !is_lc_node (node);
}
/* is node a TBM node with internal data? */
static inline int has_data(const node_t *node)
{
return is_tbm_node (node) && node->tbm_node.int_bm != 0;
}
static inline unsigned base_index(unsigned pfx, unsigned plen)
{
assert(plen < TBM_STRIDE);
assert(pfx < (1U << plen));
return pfx | (1U << plen);
}
/* initialize node to an empty TBM node */
static inline void init_empty_node(struct btrie *btrie, node_t *node)
{
memset(node, 0, sizeof(*node));
btrie->n_tbm_nodes++;
}
/* get pointer to TBM internal prefix data */
static inline const void **
tbm_data_p(const struct tbm_node *node, unsigned pfx, unsigned plen)
{
unsigned bi = base_index (pfx, plen);
if ((node->int_bm & bit (bi)) == 0)
return NULL; /* no data */
else {
return &node->ptr.data_end[-(int) count_bits_from (node->int_bm, bi)];
}
}
/* add an element to the internal data array */
static void tbm_insert_data(struct btrie *btrie, struct tbm_node *node,
unsigned pfx, unsigned plen, const void *data)
{
/* XXX: don't realloc if already big enough? */
unsigned bi = base_index (pfx, plen);
unsigned nchildren = count_bits (node->ext_bm);
int ndata = count_bits (node->int_bm);
unsigned di = count_bits_before (node->int_bm, bi);
node_t *old_children = node->ptr.children;
const void **old_data_beg = node->ptr.data_end - ndata;
const void **data_beg;
assert((node->int_bm & bit (bi)) == 0);
node->ptr.children = alloc_nodes (btrie, nchildren, ndata + 1);
data_beg = node->ptr.data_end - (ndata + 1);
data_beg[di] = data;
node->int_bm |= bit (bi);
if (nchildren != 0 || ndata != 0) {
memcpy(data_beg, old_data_beg, di * sizeof(data_beg[0]));
memcpy(&data_beg[di + 1], &old_data_beg[di],
(ndata - di) * sizeof(data_beg[0])
+ nchildren * sizeof(node_t));
free_nodes (btrie, old_children, nchildren, ndata);
}
}
/* determine whether TBM has internal prefix data for pfx/plen or ancestors */
static inline int has_internal_data(const struct tbm_node *node, unsigned pfx,
unsigned plen)
{
# define BIT(n) (1U << ((1 << TBM_STRIDE) - 1 - (n)))
# define B0() BIT(1) /* the bit for 0/0 */
# define B1(n) (BIT((n) + 2) | B0()) /* the bits for n/1 and its ancestors */
# define B2(n) (BIT((n) + 4) | B1(n >> 1)) /* the bits for n/2 and ancestors */
# define B3(n) (BIT((n) + 8) | B2(n >> 1)) /* the bits for n/3 and ancestors */
# define B4(n) (BIT((n) + 16) | B3(n >> 1)) /* the bits for n/4 and ancestors */
static tbm_bitmap_t ancestors[] =
{ 0, B0(), B1(0), B1(1), B2(0), B2(1), B2(2), B2(3), B3(0), B3(1), B3(2),
B3(3), B3(4), B3(5), B3(6), B3(7),
# if TBM_STRIDE == 5
B4(0), B4(1), B4(2), B4(3), B4(4), B4(5), B4(6), B4(7), B4(8), B4(
9), B4(10), B4(11), B4(12), B4(13), B4(14), B4(15),
# elif TBM_STRIDE != 4
# error "unsupported TBM_STRIDE"
# endif
};
# undef B4
# undef B3
# undef B2
# undef B1
# undef B0
# undef BIT
return (node->int_bm & ancestors[base_index (pfx, plen)]) != 0;
}
/* get pointer to TBM extending path */
static inline node_t *
tbm_ext_path(const struct tbm_node *node, unsigned pfx)
{
if ((node->ext_bm & bit (pfx)) == 0)
return NULL;
else
return &node->ptr.children[count_bits_before (node->ext_bm, pfx)];
}
/* resize TBM node child array to make space for new child node */
static node_t *
tbm_insert_ext_path(struct btrie *btrie, struct tbm_node *node, unsigned pfx)
{
unsigned nchildren = count_bits (node->ext_bm);
unsigned ci = count_bits_before (node->ext_bm, pfx);
int ndata = count_bits (node->int_bm);
node_t *old_children = node->ptr.children;
const void **old_data_beg = node->ptr.data_end - ndata;
assert((node->ext_bm & bit (pfx)) == 0);
node->ptr.children = alloc_nodes (btrie, nchildren + 1, ndata);
init_empty_node (btrie, &node->ptr.children[ci]);
node->ext_bm |= bit (pfx);
if (nchildren != 0 || ndata != 0) {
const void **data_beg = node->ptr.data_end - ndata;
memcpy(data_beg, old_data_beg,
ndata * sizeof(data_beg[0]) + ci * sizeof(node_t));
memcpy(&node->ptr.children[ci + 1], &old_children[ci],
(nchildren - ci) * sizeof(old_children[0]));
free_nodes (btrie, old_children, nchildren, ndata);
}
return &node->ptr.children[ci];
}
static inline int lc_is_terminal(const struct lc_node *node)
{
return (node->lc_flags & LC_FLAGS_IS_TERMINAL) != 0;
}
static inline unsigned lc_len(const struct lc_node *node)
{
return node->lc_flags & LC_FLAGS_LEN_MASK;
}
static inline void lc_init_flags(struct lc_node *node, int is_terminal,
unsigned len)
{
assert((len & ~LC_FLAGS_LEN_MASK) == 0);
node->lc_flags = LC_FLAGS_IS_LC | len;
if (is_terminal)
node->lc_flags |= LC_FLAGS_IS_TERMINAL;
}
static inline void lc_add_to_len(struct lc_node *node, int increment)
{
unsigned new_len = lc_len (node) + increment;
assert((new_len & ~LC_FLAGS_LEN_MASK) == 0);
node->lc_flags = (node->lc_flags & ~LC_FLAGS_LEN_MASK) | new_len;
}
static inline unsigned lc_shift(unsigned pos)
{
return pos / 8;
}
static inline unsigned lc_base(unsigned pos)
{
return 8 * lc_shift (pos);
}
static inline unsigned lc_bits(const struct lc_node *node, unsigned pos)
{
return pos % 8 + lc_len (node);
}
static inline unsigned lc_bytes(const struct lc_node *node, unsigned pos)
{
return (lc_bits (node, pos) + 7) / 8;
}
static inline unsigned lc_leading_bits(const struct lc_node *node, unsigned pos,
unsigned nbits)
{
return extract_bits (node->prefix, pos % 8, nbits);
}
/* Initialize a new terminal LC node
*
* If prefix is too long to fit in a single LC node, then a chain
* of LC nodes will be created.
*/
static void init_terminal_node(struct btrie *btrie, node_t *dst, unsigned pos,
const btrie_oct_t *prefix, unsigned len, const void *data)
{
struct lc_node *node = &dst->lc_node;
unsigned nbytes = (len + 7) / 8;
while (nbytes - lc_shift (pos) > LC_BYTES_PER_NODE) {
memcpy(node->prefix, prefix + lc_shift (pos), LC_BYTES_PER_NODE);
lc_init_flags (node, 0, 8 * LC_BYTES_PER_NODE - pos % 8);
node->ptr.child = alloc_nodes (btrie, 1, 0);
pos += lc_len (node);
node = &node->ptr.child->lc_node;
btrie->n_lc_nodes++;
}
memcpy(node->prefix, prefix + lc_shift (pos), nbytes - lc_shift (pos));
lc_init_flags (node, 1, len - pos);
node->ptr.data = data;
btrie->n_lc_nodes++;
}
/* merge chains of multiple LC nodes into a single LC node, if possible.
*
* also ensure that the leading nodes in the LC chain have maximum length.
*/
static void coalesce_lc_node(struct btrie *btrie, struct lc_node *node,
unsigned pos)
{
while (!lc_is_terminal (node) && lc_bits (node, pos) < 8 * LC_BYTES_PER_NODE
&& is_lc_node (node->ptr.child)) {
struct lc_node *child = &node->ptr.child->lc_node;
unsigned spare_bits = 8 * LC_BYTES_PER_NODE - lc_bits (node, pos);
unsigned end = pos + lc_len (node);
unsigned shift = lc_shift (end) - lc_shift (pos);
if (lc_len (child) <= spare_bits) {
/* node plus child will fit in single node - merge */
memcpy(node->prefix + shift, child->prefix, lc_bytes (child, end));
lc_init_flags (node, lc_is_terminal (child),
lc_len (node) + lc_len (child));
node->ptr = child->ptr;
free_nodes (btrie, (node_t *) child, 1, 0);
btrie->n_lc_nodes--;
}
else {
/* can't merge, but can take some of children bits */
unsigned cshift = lc_shift (end + spare_bits) - lc_shift (end);
memcpy(node->prefix + shift, child->prefix,
LC_BYTES_PER_NODE - shift);
lc_add_to_len (node, spare_bits);
if (cshift)
memmove(child->prefix, child->prefix + cshift,
lc_bytes (child, end) - cshift);
assert(lc_len (child) > spare_bits);
lc_add_to_len (child, -spare_bits);
pos += lc_len (node);
node = child;
}
}
}
static void init_tbm_node(struct btrie *btrie, node_t *node, unsigned pos,
const btrie_oct_t pbyte, const void **root_data_p, node_t *left,
node_t *right);
/* given an LC node at orig_pos, create a new (shorter) node at pos */
static void shorten_lc_node(struct btrie *btrie, node_t *dst, unsigned pos,
struct lc_node *src, unsigned orig_pos)
{
assert(orig_pos < pos);
assert(lc_len (src) >= pos - orig_pos);
assert(dst != (node_t * )src);
if (lc_len (src) == pos - orig_pos && !lc_is_terminal (src)) {
/* just steal the child */
node_t *child = src->ptr.child;
*dst = *child;
free_nodes (btrie, child, 1, 0);
btrie->n_lc_nodes--;
}
else {
struct lc_node *node = &dst->lc_node;
unsigned shift = lc_shift (pos) - lc_shift (orig_pos);
if (shift) {
memmove(node->prefix, src->prefix + shift,
lc_bytes (src, orig_pos) - shift);
node->lc_flags = src->lc_flags;
node->ptr = src->ptr;
}
else {
*node = *src;
}
lc_add_to_len (node, -(pos - orig_pos));
coalesce_lc_node (btrie, node, pos);
}
}
/* convert LC node to non-terminal LC node of length len *in place*
*
* on entry, node must have length at least len
*/
static void split_lc_node(struct btrie *btrie, struct lc_node *node,
unsigned pos, unsigned len)
{
node_t *child = alloc_nodes (btrie, 1, 0);
assert(lc_len (node) >= len);
shorten_lc_node (btrie, child, pos + len, node, pos);
lc_init_flags (node, 0, len);
node->ptr.child = child;
btrie->n_lc_nodes++;
}
/* convert non-terminal LC node of length one to a TBM node *in place* */
static void convert_lc_node_1(struct btrie *btrie, struct lc_node *node,
unsigned pos)
{
btrie_oct_t pbyte = node->prefix[0];
node_t *child = node->ptr.child;
node_t *left, *right;
assert(lc_len (node) == 1);
assert(!lc_is_terminal (node));
if (extract_bit (node->prefix, pos % 8))
left = NULL, right = child;
else
left = child, right = NULL;
init_tbm_node (btrie, (node_t *) node, pos, pbyte, NULL, left, right);
free_nodes (btrie, child, 1, 0);
btrie->n_lc_nodes--;
}
/* convert an LC node to TBM node *in place* */
static void convert_lc_node(struct btrie *btrie, struct lc_node *node,
unsigned pos)
{
unsigned len = lc_len (node);
if (len >= TBM_STRIDE) {
unsigned pfx = lc_leading_bits (node, pos, TBM_STRIDE);
struct tbm_node *result = (struct tbm_node *) node;
/* split to LC of len TBM_STRIDE followed by child (extending path) */
split_lc_node (btrie, node, pos, TBM_STRIDE);
/* then convert leading LC node to TBM node */
result->int_bm = 0;
result->ext_bm = bit (pfx);
btrie->n_lc_nodes--;
btrie->n_tbm_nodes++;
}
else if (lc_is_terminal (node)) {
/* convert short terminal LC to TBM (with internal data) */
unsigned pfx = lc_leading_bits (node, pos, len);
const void *data = node->ptr.data;
node_t *result = (node_t *) node;
init_empty_node (btrie, result);
tbm_insert_data (btrie, &result->tbm_node, pfx, len, data);
btrie->n_lc_nodes--;
}
else {
assert(len > 0);
for (; len > 1; len--) {
split_lc_node (btrie, node, pos, len - 1);
convert_lc_node_1 (btrie, &node->ptr.child->lc_node, pos + len - 1);
}
convert_lc_node_1 (btrie, node, pos);
}
}
static void insert_lc_node(struct btrie *btrie, node_t *dst, unsigned pos,
btrie_oct_t pbyte, unsigned last_bit, node_t *tail)
{
struct lc_node *node = &dst->lc_node;
btrie_oct_t mask = 1 << (7 - (pos % 8));
btrie_oct_t bit = last_bit ? mask : 0;
if (mask != 0x01 && is_lc_node (tail)) {
/* optimization: LC tail has room for the extra bit (without shifting) */
assert((tail->lc_node.prefix[0] & mask) == bit);
*node = tail->lc_node;
lc_add_to_len (node, 1);
return;
}
/* add new leading LC node of len 1 */
node->prefix[0] = pbyte | bit;
lc_init_flags (node, 0, 1);
node->ptr.child = alloc_nodes (btrie, 1, 0);
node->ptr.child[0] = *tail;
btrie->n_lc_nodes++;
if (is_lc_node (tail))
coalesce_lc_node (btrie, node, pos);
}
/* given:
* pbyte: the bits in the prefix between lc_base(pos) and pos
* pfx: the next TBM_STRIDE bits in the prefix starting at pos
* returns:
* the bits in the prefix between lc_base(pos + plen) and pos + plen
*/
static inline btrie_oct_t next_pbyte(btrie_oct_t pbyte, unsigned pos,
unsigned pfx)
{
unsigned end = pos + TBM_STRIDE;
if (end % 8 != 0) {
btrie_oct_t nbyte = (btrie_oct_t) pfx << (8 - end % 8);
if (end % 8 > TBM_STRIDE)
nbyte |= pbyte & high_bits (pos % 8);
return nbyte;
}
return 0;
}
/* construct a new TBM node, given the data and children of the
* root prefix of the new node.
*/
static void init_tbm_node(struct btrie *btrie, node_t *dst, unsigned pos,
const btrie_oct_t pbyte, const void **root_data_p, node_t *left,
node_t *right)
{
struct tbm_node *node = &dst->tbm_node;
unsigned nchildren = 0;
unsigned ndata = 0;
node_t children[TBM_FANOUT];
const void *data[TBM_FANOUT - 1];
tbm_bitmap_t ext_bm = 0;
tbm_bitmap_t int_bm = 0;
unsigned i, d, pfx_base;
if (left && is_lc_node (left) && lc_len (&left->lc_node) < TBM_STRIDE)
convert_lc_node (btrie, &left->lc_node, pos + 1);
if (right && is_lc_node (right) && lc_len (&right->lc_node) < TBM_STRIDE)
convert_lc_node (btrie, &right->lc_node, pos + 1);
/* set internal data for root prefix */
if (root_data_p) {
data[ndata++] = *root_data_p;
int_bm |= bit (base_index (0, 0));
}
/* copy internal data from children */
for (d = 0; d < TBM_STRIDE - 1; d++) {
if (left && has_data (left)) {
for (i = 0; i < 1U << d; i++) {
const void **data_p = tbm_data_p (&left->tbm_node, i, d);
if (data_p) {
data[ndata++] = *data_p;
int_bm |= bit (base_index (i, d + 1));
}
}
}
if (right && has_data (right)) {
for (i = 0; i < 1U << d; i++) {
const void **data_p = tbm_data_p (&right->tbm_node, i, d);
if (data_p) {
data[ndata++] = *data_p;
int_bm |= bit (base_index (i + (1 << d), d + 1));
}
}
}
}
/* copy extending paths */
for (pfx_base = 0; pfx_base < TBM_FANOUT; pfx_base += TBM_FANOUT / 2) {
node_t *child = pfx_base ? right : left;
if (child == NULL) {
continue;
}
else if (is_lc_node (child)) {
unsigned pfx = pfx_base + lc_leading_bits (&child->lc_node, pos + 1,
TBM_STRIDE - 1);
/* child is LC node, just shorten it by TBM_STRIDE - 1 */
shorten_lc_node (btrie, &children[nchildren++], pos + TBM_STRIDE,
&child->lc_node, pos + 1);
ext_bm |= bit (pfx);
}
else if (!is_empty_node (child)) {
/* convert deepest internal prefixes of child to extending paths
* of the new node
*/
for (i = 0; i < TBM_FANOUT / 2; i++) {
const void **data_p = tbm_data_p (&child->tbm_node, i,
TBM_STRIDE - 1);
node_t *left_ext = tbm_ext_path (&child->tbm_node, 2 * i);
node_t *right_ext = tbm_ext_path (&child->tbm_node, 2 * i + 1);
if (data_p || left_ext || right_ext) {
node_t *ext_path = &children[nchildren++];
unsigned pfx = pfx_base + i;
btrie_oct_t npbyte = next_pbyte (pbyte, pos, pfx);
ext_bm |= bit (pfx);
if (left_ext == NULL && right_ext == NULL) {
/* only have data - set ext_path to zero-length terminal LC node */
lc_init_flags (&ext_path->lc_node, 1, 0);
ext_path->lc_node.prefix[0] = npbyte;
ext_path->lc_node.ptr.data = *data_p;
btrie->n_lc_nodes++;
}
else if (data_p || (left_ext && right_ext)) {
/* have at least two of data, left_ext, right_ext
* ext_path must be a full TBM node */
init_tbm_node (btrie, ext_path, pos + TBM_STRIDE,
npbyte, data_p, left_ext, right_ext);
}
else if (left_ext) {
/* have only left_ext, insert length-one LC node */
insert_lc_node (btrie, ext_path, pos + TBM_STRIDE,
npbyte, 0, left_ext);
}
else {
/* have only right_ext, insert length-one LC node */
insert_lc_node (btrie, ext_path, pos + TBM_STRIDE,
npbyte, 1, right_ext);
}
}
}
btrie->n_tbm_nodes--;
free_nodes (btrie, child->tbm_node.ptr.children,
count_bits (child->tbm_node.ext_bm),
count_bits (child->tbm_node.int_bm));
}
}
assert(count_bits (int_bm) == ndata);
assert(count_bits (ext_bm) == nchildren);
node->ptr.children = alloc_nodes (btrie, nchildren, ndata);
memcpy(node->ptr.data_end - (int )ndata, data, ndata * sizeof(data[0]));
memcpy(node->ptr.children, children, nchildren * sizeof(children[0]));
node->ext_bm = ext_bm;
node->int_bm = int_bm;
btrie->n_tbm_nodes++;
}
static enum btrie_result add_to_trie(struct btrie *btrie, node_t *node,
unsigned pos, const btrie_oct_t *prefix, unsigned len, const void *data)
{
for (;;) {
if (is_lc_node (node)) {
struct lc_node *lc_node = &node->lc_node;
unsigned end = pos + lc_len (lc_node);
unsigned cbits = common_prefix (prefix + lc_shift (pos),
lc_node->prefix, (len < end ? len : end) - lc_base (pos));
unsigned clen = lc_base (pos) + cbits; /* position of first mismatch */
if (clen == end && !lc_is_terminal (lc_node)) {
/* matched entire prefix of LC node, proceed to child */
assert(lc_len (lc_node) > 0);
node = lc_node->ptr.child;
pos = end;
}
else if (clen == end && len == end && lc_is_terminal (lc_node)) {
/* exact match for terminal node - already have data for prefix */
return BTRIE_DUPLICATE_PREFIX;
}
else {
assert(clen < end || (lc_is_terminal (lc_node) && len > end));
/* Need to insert new TBM node at clen */
if (clen > pos) {
split_lc_node (btrie, lc_node, pos, clen - pos);
node = lc_node->ptr.child;
assert(is_lc_node (node));
pos = clen;
}
convert_lc_node (btrie, &node->lc_node, pos);
}
}
else if (is_empty_node (node)) {
/* at empty TBM node - just replace with terminal LC node */
init_terminal_node (btrie, node, pos, prefix, len, data);
btrie->n_entries++;
btrie->n_tbm_nodes--;
return BTRIE_OKAY;
}
else {
struct tbm_node *tbm_node = &node->tbm_node;
unsigned end = pos + TBM_STRIDE;
if (len < end) {
unsigned plen = len - pos;
unsigned pfx = extract_bits (prefix, pos, plen);
if (tbm_data_p (tbm_node, pfx, plen) != NULL)
return BTRIE_DUPLICATE_PREFIX; /* prefix already has data */
else {
tbm_insert_data (btrie, tbm_node, pfx, plen, data);
btrie->n_entries++;
return BTRIE_OKAY;
}
}
else {
unsigned pfx = extract_bits (prefix, pos, TBM_STRIDE);
/* follow extending path */
node = tbm_ext_path (tbm_node, pfx);
if (node == NULL)
node = tbm_insert_ext_path (btrie, tbm_node, pfx);
pos = end;
}
}
}
}
static const void *
search_trie(const node_t *node, unsigned pos, const btrie_oct_t *prefix,
unsigned len)
{
/* remember last TBM node seen with internal data */
const struct tbm_node *int_node = 0;
unsigned int_pfx = 0, int_plen = 0;
while (node) {
if (is_lc_node (node)) {
const struct lc_node *lc_node = &node->lc_node;
unsigned end = pos + lc_len (lc_node);
if (len < end)
break;
if (!prefixes_equal (prefix + lc_shift (pos), lc_node->prefix,
end - lc_base (pos)))
break;
if (lc_is_terminal (lc_node))
return lc_node->ptr.data; /* found terminal node */
pos = end;
node = lc_node->ptr.child;
}
else {
const struct tbm_node *tbm_node = &node->tbm_node;
unsigned end = pos + TBM_STRIDE;
if (len < end) {
unsigned plen = len - pos;
unsigned pfx = extract_bits (prefix, pos, plen);
if (has_internal_data (tbm_node, pfx, plen)) {
int_node = tbm_node;
int_pfx = pfx;
int_plen = plen;
}
break;
}
else {
unsigned pfx = extract_bits (prefix, pos, TBM_STRIDE);
if (has_internal_data (tbm_node, pfx >> 1, TBM_STRIDE - 1)) {
int_node = tbm_node;
int_pfx = pfx >> 1;
int_plen = TBM_STRIDE - 1;
}
pos = end;
node = tbm_ext_path (tbm_node, pfx);
}
}
}
if (int_node) {
const void **data_p = tbm_data_p (int_node, int_pfx, int_plen);
while (data_p == NULL) {
assert(int_plen > 0);
int_pfx >>= 1;
int_plen--;
data_p = tbm_data_p (int_node, int_pfx, int_plen);
}
return *data_p;
}
return NULL;
}
struct btrie *
btrie_init(rspamd_mempool_t *mp)
{
struct btrie *btrie;
if (!(btrie = rspamd_mempool_alloc0 (mp, sizeof(*btrie)))) {
return NULL;
}
btrie->mp = mp;
btrie->alloc_total = sizeof(*btrie);
/* count the empty root node */
btrie->n_tbm_nodes = 1;
return btrie;
}
enum btrie_result btrie_add_prefix(struct btrie *btrie,
const btrie_oct_t *prefix, unsigned len, const void *data)
{
enum btrie_result rv;
if ((rv = setjmp (btrie->exception)) != 0)
return rv; /* out of memory */
return add_to_trie (btrie, &btrie->root, 0, prefix, len, data);
}
const void *
btrie_lookup(const struct btrie *btrie, const btrie_oct_t *prefix, unsigned len)
{
return search_trie (&btrie->root, 0, prefix, len);
}
/****************************************************************
*
* btrie_stats() - statistics reporting
*/
#ifdef BTRIE_EXTENDED_STATS
/* Define BTRIE_EXTENDED_STATS to get extra statistics (including
* trie depth). This statistics require a traversal of the entire trie
* to compute, and so are disabled by default.
*/
struct stats {
size_t max_depth;
size_t total_depth;
#ifndef NDEBUG
size_t n_lc_nodes;
size_t n_tbm_nodes;
size_t n_entries;
size_t alloc_data;
size_t alloc_waste;
#endif
};
static void
node_stats(const node_t *node, size_t depth, struct stats *stats)
{
if (depth > stats->max_depth)
stats->max_depth = depth;
stats->total_depth += depth;
if (is_lc_node(node)) {
#ifndef NDEBUG
stats->n_lc_nodes++;
#endif
if (!lc_is_terminal(&node->lc_node))
node_stats(node->lc_node.ptr.child, depth + 1, stats);
#ifndef NDEBUG
else
stats->n_entries++;
#endif
}
else {
unsigned i;
unsigned nchildren = count_bits(node->tbm_node.ext_bm);
#ifndef NDEBUG
unsigned ndata = count_bits(node->tbm_node.int_bm);
stats->n_tbm_nodes++;
stats->n_entries += ndata;
stats->alloc_data += ndata * sizeof(void *);
stats->alloc_waste += (ndata % 2) * sizeof(void *);
#endif
for (i = 0; i < nchildren; i++)
node_stats(&node->tbm_node.ptr.children[i], depth + 1, stats);
}
}
#endif /* BTRIE_EXTENDED_STATS */
#ifndef NDEBUG
static size_t count_free(const struct btrie *btrie)
{
size_t total = 0;
unsigned sz;
for (sz = 1; sz <= MAX_CHILD_ARRAY_LEN; sz++) {
const struct free_hunk *free = btrie->free_list[sz - 1];
size_t n;
for (n = 0; free; n++)
free = free->next;
total += sz * n;
}
return total * sizeof(node_t);
}
#endif /* not NDEBUG */
const char *
btrie_stats(const struct btrie *btrie, guint duplicates)
{
static char buf[128];
size_t n_nodes = btrie->n_lc_nodes + btrie->n_tbm_nodes;
size_t alloc_free = (btrie->alloc_total + sizeof(node_t) /* do not double-count the root node */
- n_nodes * sizeof(node_t) - btrie->alloc_data - btrie->alloc_waste
- sizeof(*btrie));
#ifdef BTRIE_EXTENDED_STATS
struct stats stats;
double average_depth;
memset(&stats, 0, sizeof(stats));
node_stats(&btrie->root, 0, &stats);
average_depth = (double)stats.total_depth / n_nodes;
#ifndef NDEBUG
/* check the node counts */
assert(stats.n_lc_nodes == btrie->n_lc_nodes);
assert(stats.n_tbm_nodes == btrie->n_tbm_nodes);
assert(stats.n_entries == btrie->n_entries);
assert(stats.alloc_data == btrie->alloc_data);
assert(stats.alloc_waste == btrie->alloc_waste);
#endif /* not NDEBUG */
#endif /* BTRIE_EXTENDED_STATS */
#ifndef NDEBUG
/* check that we haven't lost any memory */
assert(alloc_free == count_free (btrie));
#endif
#ifdef BTRIE_DEBUG_ALLOC
dump_alloc_hist(btrie);
#endif
#ifdef BTRIE_EXTENDED_STATS
snprintf(buf, sizeof(buf),
"ents=%lu tbm=%lu lc=%lu mem=%.0fk free=%lu waste=%lu"
" depth=%.1f/%lu"
,(long unsigned)btrie->n_entries, (long unsigned)btrie->n_tbm_nodes,
(long unsigned)btrie->n_lc_nodes, (double)btrie->alloc_total / 1024,
(long unsigned)alloc_free, (long unsigned)btrie->alloc_waste
, average_depth, (long unsigned)stats.max_depth);
#else
snprintf(buf, sizeof(buf),
"ents=%lu dup=%u tbm=%lu lc=%lu mem=%.0fk free=%lu waste=%lu",
(long unsigned)btrie->n_entries,
duplicates,
(long unsigned)btrie->n_tbm_nodes,
(long unsigned)btrie->n_lc_nodes, (double)btrie->alloc_total / 1024,
(long unsigned)alloc_free, (long unsigned)btrie->alloc_waste
);
#endif
buf[sizeof(buf) - 1] = '\0';
return buf;
}
/****************************************************************/
#ifndef NO_MASTER_DUMP
struct walk_context
{
btrie_walk_cb_t *callback;
void *user_data;
btrie_oct_t prefix[(BTRIE_MAX_PREFIX + 7) / 8];
};
static void
walk_node(const node_t *node, unsigned pos, struct walk_context *ctx);
static void walk_tbm_node(const struct tbm_node *node, unsigned pos,
unsigned pfx, unsigned plen, struct walk_context *ctx)
{
btrie_oct_t *prefix = ctx->prefix;
int pbyte = pos / 8;
btrie_oct_t pbit = 0x80 >> (pos % 8);
const void **data_p = tbm_data_p (node, pfx, plen);
if (pos >= BTRIE_MAX_PREFIX) {
/* This can/should not happen, but don't overwrite buffers if it does. */
return;
}
if (data_p)
ctx->callback (prefix, pos, *data_p, 0, ctx->user_data);
/* walk children */
if (plen < TBM_STRIDE - 1) {
/* children are internal prefixes in same node */
walk_tbm_node (node, pos + 1, pfx << 1, plen + 1, ctx);
prefix[pbyte] |= pbit;
walk_tbm_node (node, pos + 1, (pfx << 1) + 1, plen + 1, ctx);
prefix[pbyte] &= ~pbit;
}
else {
/* children are extending paths */
const node_t *ext_path;
if ((ext_path = tbm_ext_path (node, pfx << 1)) != NULL)
walk_node (ext_path, pos + 1, ctx);
if ((ext_path = tbm_ext_path (node, (pfx << 1) + 1)) != NULL) {
prefix[pbyte] |= pbit;
walk_node (ext_path, pos + 1, ctx);
prefix[pbyte] &= ~pbit;
}
}
if (data_p)
ctx->callback (prefix, pos, *data_p, 1, ctx->user_data);
}
static void walk_lc_node(const struct lc_node *node, unsigned pos,
struct walk_context *ctx)
{
btrie_oct_t *prefix = ctx->prefix;
unsigned end = pos + lc_len (node);
btrie_oct_t save_prefix = prefix[lc_shift (pos)];
if (end > BTRIE_MAX_PREFIX) {
/* This can/should not happen, but don't overwrite buffers if it does. */
return;
}
/* construct full prefix to node */
memcpy(&prefix[lc_shift (pos)], node->prefix, lc_bytes (node, pos));
if (end % 8)
prefix[end / 8] &= high_bits (end % 8);
if (lc_is_terminal (node)) {
ctx->callback (prefix, end, node->ptr.data, 0, ctx->user_data);
ctx->callback (prefix, end, node->ptr.data, 1, ctx->user_data);
}
else
walk_node (node->ptr.child, end, ctx);
prefix[lc_shift (pos)] = save_prefix; /* restore parents prefix */
if (lc_bytes (node, pos) > 1)
memset(&prefix[lc_shift (pos) + 1], 0, lc_bytes (node, pos) - 1);
}
static void walk_node(const node_t *node, unsigned pos,
struct walk_context *ctx)
{
if (is_lc_node (node))
walk_lc_node (&node->lc_node, pos, ctx);
else
walk_tbm_node (&node->tbm_node, pos, 0, 0, ctx);
}
/* walk trie in lexicographical order
*
* calls callback twice (once preorder, once postorder) at each prefix
*/
void btrie_walk(const struct btrie *btrie, btrie_walk_cb_t *callback,
void *user_data)
{
struct walk_context ctx;
memset(&ctx, 0, sizeof(ctx));
ctx.callback = callback;
ctx.user_data = user_data;
walk_node (&btrie->root, 0, &ctx);
}
#endif /* not NO_MASTER_DUMP */
#ifdef TEST
/*****************************************************************
*
* Unit tests
*
*/
#include <stdio.h>
#ifndef UNUSED
# define UNUSED __attribute__((unused))
#endif
/* bogus replacements mp_alloc for running self-tests */
void *
mp_alloc(UNUSED struct mempool *mp, unsigned sz, UNUSED int align)
{
return malloc(sz);
}
#if 0
# define PASS(name) puts("OK " name)
#else
# define PASS(name) fputs(".", stdout); fflush(stdout)
#endif
const char * pgm_name = "???";
static void
test_struct_node_packing()
{
node_t node;
assert(sizeof(struct tbm_node) == 2 * sizeof(void *));
assert(sizeof(struct lc_node) == 2 * sizeof(void *));
assert(sizeof(node_t) == 2 * sizeof(void *));
/* The lc_node bit must be an alias for bit zero of int_bm, since
* that is the only unused bit in the TBM node structure.
*/
memset(&node, 0, sizeof(node));
assert(node.tbm_node.int_bm == 0);
lc_init_flags(&node.lc_node, 0, 0);
assert(node.tbm_node.int_bm == bit(0));
PASS("test_struct_node_packing");
}
static void
test_bit()
{
tbm_bitmap_t ones = ~(tbm_bitmap_t)0;
tbm_bitmap_t high_bit = ones ^ (ones >> 1);
assert(bit(0) == high_bit);
assert(bit(1) == high_bit >> 1);
assert(bit(8 * sizeof(tbm_bitmap_t) - 1) == 1);
PASS("test_bit");
}
static void
test_count_bits()
{
unsigned max_bits = sizeof(tbm_bitmap_t) * 8;
tbm_bitmap_t ones = ~(tbm_bitmap_t)0;
assert(count_bits(0) == 0);
assert(count_bits(1) == 1);
assert(count_bits(2) == 1);
assert(count_bits(3) == 2);
assert(count_bits(ones) == max_bits);
assert(count_bits(~1) == max_bits - 1);
/* count_bits(0x5555....) */
assert(count_bits(ones / 3) == max_bits / 2);
/* count_bits(0x3333...) */
assert(count_bits(ones / 5) == max_bits / 2);
/* count_bits(0x0f0f...) */
assert(count_bits(ones / 17) == max_bits / 2);
/* count_bits(0x1010...) */
assert(count_bits(ones / 255) == max_bits / 8);
PASS("test_count_bits");
}
static void
test_count_bits_before()
{
unsigned max_bits = sizeof(tbm_bitmap_t) * 8;
tbm_bitmap_t ones = ~(tbm_bitmap_t)0;
unsigned i;
for (i = 0; i < max_bits; i++) {
assert(count_bits_before(0, i) == 0);
assert(count_bits_before(ones, i) == i);
}
PASS("test_count_bits_before");
}
static void
test_count_bits_from()
{
unsigned max_bits = sizeof(tbm_bitmap_t) * 8;
tbm_bitmap_t ones = ~(tbm_bitmap_t)0;
unsigned i;
for (i = 0; i < max_bits; i++) {
assert(count_bits_from(0, i) == 0);
assert(count_bits_from(ones, i) == max_bits - i);
}
PASS("test_count_bits_from");
}
static void
test_extract_bits()
{
static btrie_oct_t prefix[] = {0xff, 0x55, 0xaa, 0x00};
unsigned i;
for (i = 0; i < 32; i++)
assert(extract_bits(prefix, i, 0) == 0);
for (i = 0; i < 8; i++)
assert(extract_bits(prefix, i, 1) == 1);
for (i = 8; i < 16; i++)
assert(extract_bits(prefix, i, 1) == i % 2);
for (i = 16; i < 24; i++)
assert(extract_bits(prefix, i, 1) == (i + 1) % 2);
for (i = 24; i < 32; i++)
assert(extract_bits(prefix, i, 1) == 0);
assert(extract_bits(prefix, 2, 6) == 0x3f);
assert(extract_bits(prefix, 3, 6) == 0x3e);
assert(extract_bits(prefix, 4, 6) == 0x3d);
assert(extract_bits(prefix, 5, 6) == 0x3a);
assert(extract_bits(prefix, 6, 6) == 0x35);
assert(extract_bits(prefix, 7, 6) == 0x2a);
assert(extract_bits(prefix, 8, 6) == 0x15);
PASS("test_extract_bits");
}
static void
test_high_bits()
{
assert(high_bits(0) == 0x00);
assert(high_bits(1) == 0x80);
assert(high_bits(2) == 0xc0);
assert(high_bits(3) == 0xe0);
assert(high_bits(4) == 0xf0);
assert(high_bits(5) == 0xf8);
assert(high_bits(6) == 0xfc);
assert(high_bits(7) == 0xfe);
assert(high_bits(8) == 0xff);
PASS("test_high_bits");
}
static void
test_prefixes_equal()
{
btrie_oct_t prefix1[LC_BYTES_PER_NODE];
btrie_oct_t prefix2[LC_BYTES_PER_NODE];
unsigned i;
memset(prefix1, 0xaa, LC_BYTES_PER_NODE);
memset(prefix2, 0xaa, LC_BYTES_PER_NODE);
for (i = 0; i < 8 * LC_BYTES_PER_NODE; i++) {
assert(prefixes_equal(prefix1, prefix2, i));
prefix1[i / 8] ^= 1 << (7 - i % 8);
assert(!prefixes_equal(prefix1, prefix2, 8 * LC_BYTES_PER_NODE));
assert(prefixes_equal(prefix1, prefix2, i));
if (i + 1 < 8 * LC_BYTES_PER_NODE)
assert(!prefixes_equal(prefix1, prefix2, i + 1));
prefix1[i / 8] ^= 1 << (7 - i % 8);
}
PASS("test_prefixes_equal");
}
static void
test_common_prefix()
{
btrie_oct_t prefix1[LC_BYTES_PER_NODE];
btrie_oct_t prefix2[LC_BYTES_PER_NODE];
unsigned i;
memset(prefix1, 0x55, LC_BYTES_PER_NODE);
memset(prefix2, 0x55, LC_BYTES_PER_NODE);
for (i = 0; i < 8 * LC_BYTES_PER_NODE; i++) {
assert(common_prefix(prefix1, prefix2, i) == i);
prefix1[i / 8] ^= 1 << (7 - i % 8);
assert(common_prefix(prefix1, prefix2, 8 * LC_BYTES_PER_NODE) == i);
if (i + 1 < 8 * LC_BYTES_PER_NODE)
assert(common_prefix(prefix1, prefix2, i+1) == i);
prefix1[i / 8] ^= 1 << (7 - i % 8);
}
PASS("test_common_prefix");
}
static void
test_base_index()
{
assert(base_index(0,0) == 1);
assert(base_index(0,1) == 2);
assert(base_index(1,1) == 3);
assert(base_index(0,2) == 4);
assert(base_index(1,2) == 5);
assert(base_index(2,2) == 6);
assert(base_index(3,2) == 7);
PASS("test_base_index");
}
static void
test_has_internal_data()
{
struct tbm_node node;
unsigned plen, pfx, bi;
for (plen = 0; plen < TBM_STRIDE; plen++) {
for (pfx = 0; pfx < 1U << plen; pfx++) {
tbm_bitmap_t ancestor_mask = 0;
for (bi = base_index(pfx, plen); bi; bi >>= 1) {
node.int_bm = bit(bi);
ancestor_mask |= bit(bi);
assert(has_internal_data(&node, pfx, plen));
}
node.int_bm = ~ancestor_mask;
assert(!has_internal_data(&node, pfx, plen));
}
}
PASS("test_has_internal_data");
}
/****************************************************************/
static const btrie_oct_t numbered_bytes[] = {
0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f,
0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27,
0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f,
0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37,
0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f,
};
static void
check_non_terminal_lc_node(struct lc_node *node, unsigned len)
{
assert(is_lc_node((node_t *)node));
assert(!lc_is_terminal(node));
assert(lc_len(node) == len);
}
static void
check_terminal_lc_node(struct lc_node *node, unsigned len, const void *data)
{
assert(is_lc_node((node_t *)node));
assert(lc_is_terminal(node));
assert(lc_len(node) == len);
assert(node->ptr.data == data);
}
static void
test_init_terminal_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
node_t node;
struct lc_node *head = &node.lc_node;
init_terminal_node(btrie, &node, 0,
numbered_bytes, 8 * LC_BYTES_PER_NODE, data);
check_terminal_lc_node(head, 8 * LC_BYTES_PER_NODE, data);
assert(memcmp(head->prefix, numbered_bytes, LC_BYTES_PER_NODE) == 0);
init_terminal_node(btrie, &node, 7,
numbered_bytes, 8 * LC_BYTES_PER_NODE, data);
check_terminal_lc_node(head, 8 * LC_BYTES_PER_NODE - 7, data);
assert(memcmp(head->prefix, numbered_bytes, LC_BYTES_PER_NODE) == 0);
init_terminal_node(btrie, &node, 0,
numbered_bytes, 2 * 8 * LC_BYTES_PER_NODE, data);
check_non_terminal_lc_node(head, 8 * LC_BYTES_PER_NODE);
assert(memcmp(head->prefix, numbered_bytes, LC_BYTES_PER_NODE) == 0);
{
struct lc_node *child = &head->ptr.child->lc_node;
check_terminal_lc_node(child, 8 * LC_BYTES_PER_NODE, data);
assert(memcmp(child->prefix, &numbered_bytes[LC_BYTES_PER_NODE],
LC_BYTES_PER_NODE) == 0);
}
init_terminal_node(btrie, &node, 15,
numbered_bytes, 8 * LC_BYTES_PER_NODE + 15, data);
check_non_terminal_lc_node(head, 8 * LC_BYTES_PER_NODE - 7);
assert(memcmp(head->prefix, &numbered_bytes[1], LC_BYTES_PER_NODE) == 0);
{
struct lc_node *child = &head->ptr.child->lc_node;
check_terminal_lc_node(child, 7, data);
assert(child->prefix[0] == numbered_bytes[LC_BYTES_PER_NODE + 1]);
}
PASS("test_init_terminal_node");
}
static void
test_coalesce_lc_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
node_t node;
struct lc_node *head = &node.lc_node;
/* test merging */
init_terminal_node(btrie, &node, 0,
numbered_bytes, 8 * (LC_BYTES_PER_NODE + 1), data);
check_non_terminal_lc_node(head, LC_BYTES_PER_NODE * 8);
lc_add_to_len(head, -8);
coalesce_lc_node(btrie, head, 8);
check_terminal_lc_node(head, LC_BYTES_PER_NODE * 8, data);
assert(head->prefix[LC_BYTES_PER_NODE - 1]
== numbered_bytes[LC_BYTES_PER_NODE]);
/* test bit stealing */
init_terminal_node(btrie, &node, 0,
numbered_bytes, 8 * (2 * LC_BYTES_PER_NODE), data);
check_non_terminal_lc_node(head, LC_BYTES_PER_NODE * 8);
lc_add_to_len(head, -15);
coalesce_lc_node(btrie, head, 15);
check_non_terminal_lc_node(head, LC_BYTES_PER_NODE * 8 - 7);
assert(memcmp(head->prefix, numbered_bytes, LC_BYTES_PER_NODE - 1) == 0);
assert(head->prefix[LC_BYTES_PER_NODE - 1]
== numbered_bytes[LC_BYTES_PER_NODE]);
{
struct lc_node *child = &head->ptr.child->lc_node;
check_terminal_lc_node(child, 8 * (LC_BYTES_PER_NODE - 1), data);
assert(memcmp(child->prefix, &numbered_bytes[LC_BYTES_PER_NODE + 1],
LC_BYTES_PER_NODE - 1) == 0);
}
PASS("test_coalesce_lc_node");
}
static void
test_shorten_lc_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
node_t node, shorter;
/* test shorten without shift */
init_terminal_node(btrie, &node, 0,
numbered_bytes, 8 * LC_BYTES_PER_NODE, data);
memset(shorter.lc_node.prefix, 0xff, LC_BYTES_PER_NODE);
shorten_lc_node(btrie, &shorter, 7, &node.lc_node, 0);
check_terminal_lc_node(&shorter.lc_node, LC_BYTES_PER_NODE * 8 - 7, data);
assert(memcmp(shorter.lc_node.prefix, numbered_bytes, LC_BYTES_PER_NODE)
== 0);
/* test shorten with shift */
init_terminal_node(btrie, &node, 7,
numbered_bytes, 8 * LC_BYTES_PER_NODE, data);
memset(shorter.lc_node.prefix, 0xff, LC_BYTES_PER_NODE);
shorten_lc_node(btrie, &shorter, 9, &node.lc_node, 7);
check_terminal_lc_node(&shorter.lc_node, LC_BYTES_PER_NODE * 8 - 9, data);
assert(memcmp(shorter.lc_node.prefix, &numbered_bytes[1],
LC_BYTES_PER_NODE - 1) == 0);
{
/* test child stealing */
struct lc_node head;
node_t tail, shorter;
lc_init_flags(&head, 0, 7);
head.ptr.child = &tail;
init_empty_node(btrie, &tail);
shorten_lc_node(btrie, &shorter, 7, &head, 0);
assert(is_empty_node(&shorter));
}
PASS("test_shorten_lc_node");
}
static void
test_split_lc_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
struct lc_node node;
init_terminal_node(btrie, (node_t *)&node, 1, numbered_bytes, 25, data);
split_lc_node(btrie, &node, 1, 8);
check_non_terminal_lc_node(&node, 8);
check_terminal_lc_node(&node.ptr.child->lc_node, 16, data);
/* test conversion of terminal to non-terminal */
init_terminal_node(btrie, (node_t *)&node, 7, numbered_bytes, 10, data);
split_lc_node(btrie, &node, 7, 3);
check_non_terminal_lc_node(&node, 3);
check_terminal_lc_node(&node.ptr.child->lc_node, 0, data);
PASS("test_split_lc_node");
}
static void
test_convert_lc_node_1()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
struct lc_node head;
/* test tail is left */
lc_init_flags(&head, 0, 1);
head.prefix[0] = 0;
head.ptr.child = alloc_nodes(btrie, 1, 0);
init_terminal_node(btrie, head.ptr.child, 1, numbered_bytes, 1, data);
convert_lc_node_1(btrie, &head, 0);
{
node_t *result = (node_t *)&head;
assert(is_tbm_node(result));
assert(result->tbm_node.ext_bm == 0);
assert(result->tbm_node.int_bm == bit(base_index(0, 1)));
assert(*tbm_data_p(&result->tbm_node, 0, 1) == data);
}
/* test tail is right */
lc_init_flags(&head, 0, 1);
head.prefix[0] = 1;
head.ptr.child = alloc_nodes(btrie, 1, 0);
init_terminal_node(btrie, head.ptr.child, 8, numbered_bytes, 10, data);
convert_lc_node_1(btrie, &head, 7);
{
node_t *result = (node_t *)&head;
assert(is_tbm_node(result));
assert(result->tbm_node.ext_bm == 0);
assert(result->tbm_node.int_bm == bit(base_index(4, 3)));
assert(*tbm_data_p(&result->tbm_node, 4, 3) == data);
}
PASS("test_convert_lc_node_1");
}
static void
test_convert_lc_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
node_t node;
/* if (len >= TBM_STRIDE) */
init_terminal_node(btrie, &node, 7, numbered_bytes, TBM_STRIDE + 7, data);
convert_lc_node(btrie, &node.lc_node, 7);
assert(is_tbm_node(&node));
assert(node.tbm_node.ext_bm == bit(0));
assert(node.tbm_node.int_bm == 0);
check_terminal_lc_node(&tbm_ext_path(&node.tbm_node, 0)->lc_node, 0, data);
/* if (lc_is_terminal(node)) */
init_terminal_node(btrie, &node, 0, numbered_bytes, 0, data);
convert_lc_node(btrie, &node.lc_node, 0);
assert(is_tbm_node(&node));
assert(node.tbm_node.ext_bm == 0);
assert(node.tbm_node.int_bm == bit(base_index(0, 0)));
assert(*tbm_data_p(&node.tbm_node, 0, 0) == data);
/* else */
lc_init_flags(&node.lc_node, 0, TBM_STRIDE - 1);
node.lc_node.prefix[0] = 0;
node.lc_node.ptr.child = alloc_nodes(btrie, 1, 0);
init_empty_node(btrie, node.lc_node.ptr.child);
tbm_insert_data(btrie, &node.lc_node.ptr.child->tbm_node, 0, 0, data);
convert_lc_node(btrie, &node.lc_node, 0);
assert(is_tbm_node(&node));
assert(node.tbm_node.ext_bm == 0);
assert(node.tbm_node.int_bm == bit(base_index(0, TBM_STRIDE - 1)));
assert(*tbm_data_p(&node.tbm_node, 0, TBM_STRIDE - 1) == data);
PASS("test_convert_lc_node");
}
static void
test_insert_lc_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
node_t node, tail;
/* test optimized case, last_bit == 0 */
init_terminal_node(btrie, &tail, 9, numbered_bytes, 17, data);
insert_lc_node(btrie, &node, 8, 0, 0, &tail);
check_terminal_lc_node(&node.lc_node, 9, data);
assert(memcmp(node.lc_node.prefix, &numbered_bytes[1], 2) == 0);
/* test optimized case, last_bit == 1 */
init_terminal_node(btrie, &tail, 7, &numbered_bytes[0x12], 15, data);
insert_lc_node(btrie, &node, 6, 0x10, 1, &tail);
check_terminal_lc_node(&node.lc_node, 9, data);
assert(node.lc_node.prefix[0] == 0x12);
assert(node.lc_node.prefix[1] == 0x13);
/* test with shift */
init_terminal_node(btrie, &tail, 0, numbered_bytes, 8, data);
insert_lc_node(btrie, &node, 7, 0x40, 1, &tail);
check_terminal_lc_node(&node.lc_node, 9, data);
assert(node.lc_node.prefix[0] == 0x41);
assert(node.lc_node.prefix[1] == numbered_bytes[0]);
/* test with TBM node */
init_empty_node(btrie, &tail);
insert_lc_node(btrie, &node, 6, 0x40, 0, &tail);
check_non_terminal_lc_node(&node.lc_node, 1);
assert(is_tbm_node(node.lc_node.ptr.child));
PASS("test_insert_lc_node");
}
static void
test_next_pbyte()
{
assert(next_pbyte(0xff, 0, 1) == 0x80 >> (TBM_STRIDE - 1));
assert(next_pbyte(0xff, 1, 1) == (0x80 | (0x80 >> TBM_STRIDE)));
assert(next_pbyte(0xff, 2, 1) == (0xc0 | (0x80 >> (TBM_STRIDE + 1))));
assert(next_pbyte(0xff, 8 - TBM_STRIDE, 1) == 0);
assert(next_pbyte(0xff, 9 - TBM_STRIDE, 1) == 0x80);
PASS("test_next_pbyte");
}
static void
test_init_tbm_node()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
unsigned lr;
node_t node;
/* test root data */
init_tbm_node(btrie, &node, 0, 0, &data, NULL, NULL);
assert(is_tbm_node(&node));
assert(node.tbm_node.ext_bm == 0);
assert(node.tbm_node.int_bm == bit(base_index(0, 0)));
assert(*tbm_data_p(&node.tbm_node, 0, 0) == data);
for (lr = 0; lr < 2; lr++) {
node_t child;
node_t *left = lr ? NULL : &child;
node_t *right = lr ? &child : NULL;
unsigned base = lr ? (1U << (TBM_STRIDE - 1)) : 0;
unsigned pfx;
/* test with long LC node child */
init_terminal_node(btrie, &child, 1, numbered_bytes, TBM_STRIDE + 1, data);
init_tbm_node(btrie, &node, 0, 0, NULL, left, right);
assert(is_tbm_node(&node));
assert(node.tbm_node.ext_bm == bit(base));
assert(node.tbm_node.int_bm == 0);
check_terminal_lc_node(&tbm_ext_path(&node.tbm_node, base)->lc_node,
1, data);
/* test with short LC node children */
init_terminal_node(btrie, &child, 1, numbered_bytes, TBM_STRIDE - 1, data);
init_tbm_node(btrie, &node, 0, 0, NULL, left, right);
assert(is_tbm_node(&node));
assert(node.tbm_node.ext_bm == 0);
assert(node.tbm_node.int_bm == bit(base_index(base >> 1, TBM_STRIDE-1)));
assert(*tbm_data_p(&node.tbm_node, base >> 1, TBM_STRIDE-1) == data);
/* construct TBM node with all eight combinations of having data,
* left_ext and/or right_ext in its extending paths */
init_empty_node(btrie, &child);
for (pfx = 0; pfx < 8; pfx++) {
if (pfx & 1)
tbm_insert_data(btrie, &child.tbm_node, pfx, TBM_STRIDE - 1, data);
if (pfx & 2) {
btrie_oct_t prefix0 = 0;
init_terminal_node(btrie,
tbm_insert_ext_path(btrie, &child.tbm_node, 2*pfx),
TBM_STRIDE + 1,
&prefix0, TBM_STRIDE + 2, data);
}
if (pfx & 4) {
btrie_oct_t prefix0 = 0x80 >> TBM_STRIDE;
init_terminal_node(btrie,
tbm_insert_ext_path(btrie, &child.tbm_node, 2*pfx+1),
TBM_STRIDE + 1,
&prefix0, TBM_STRIDE + 3, data);
}
}
init_tbm_node(btrie, &node, 0, 0, NULL, left, right);
for (pfx = 0; pfx < 8; pfx++) {
unsigned base = lr ? (1U << (TBM_STRIDE - 1)) : 0;
node_t *ext_path = tbm_ext_path(&node.tbm_node, base + pfx);
if (pfx == 0)
assert(ext_path == NULL);
else if (pfx == 1)
check_terminal_lc_node(&ext_path->lc_node, 0, data);
else if (pfx == 2) {
check_terminal_lc_node(&ext_path->lc_node, 2, data);
assert(ext_path->lc_node.prefix[0] == 0);
}
else if (pfx == 4) {
check_terminal_lc_node(&ext_path->lc_node, 3, data);
assert(ext_path->lc_node.prefix[0] == (0x80 >> TBM_STRIDE));
}
else {
tbm_bitmap_t int_bm = 0;
assert(is_tbm_node(ext_path));
if (pfx & 1) {
int_bm |= bit(base_index(0, 0));
assert(*tbm_data_p(&ext_path->tbm_node, 0, 0) == data);
}
if (pfx & 2) {
int_bm |= bit(base_index(0, 2));
assert(*tbm_data_p(&ext_path->tbm_node, 0, 2) == data);
}
if (pfx & 4) {
int_bm |= bit(base_index(4, 3));
assert(*tbm_data_p(&ext_path->tbm_node, 4, 3) == data);
}
assert(ext_path->tbm_node.int_bm == int_bm);
}
}
}
PASS("test_init_tbm_node");
}
static void
test_add_to_trie()
{
struct btrie *btrie = btrie_init(NULL);
const void *data = (void *)0xdeadbeef;
enum btrie_result result;
unsigned pfx, plen;
node_t root;
/* test initial insertion */
init_empty_node(btrie, &root);
result = add_to_trie(btrie, &root, 0,
numbered_bytes, 8 * 2 * LC_BYTES_PER_NODE, data);
assert(result == BTRIE_OKAY);
check_non_terminal_lc_node(&root.lc_node, 8 * LC_BYTES_PER_NODE);
check_terminal_lc_node(&root.lc_node.ptr.child->lc_node,
8 * LC_BYTES_PER_NODE, data);
/* test can follow LC node to tail, and then detect duplicate prefix */
result = add_to_trie(btrie, &root, 0,
numbered_bytes, 8 * 2 * LC_BYTES_PER_NODE, data);
assert(result == BTRIE_DUPLICATE_PREFIX);
/* test can insert new TBM node within existing LC node */
result = add_to_trie(btrie, &root, 0,
&numbered_bytes[1], 16, data);
assert(result == BTRIE_OKAY);
check_non_terminal_lc_node(&root.lc_node, 7);
assert(is_tbm_node(root.lc_node.ptr.child));
/* test can convert terminal LC node to TBM node */
init_terminal_node(btrie, &root, 0, numbered_bytes, 12, data);
result = add_to_trie(btrie, &root, 0, numbered_bytes, 24, data);
assert(result == BTRIE_OKAY);
check_non_terminal_lc_node(&root.lc_node, 12);
assert(is_tbm_node(root.lc_node.ptr.child));
/* test can insert internal prefix data in TBM node */
for (plen = 0; plen < TBM_STRIDE; plen++) {
for (pfx = 0; pfx < (1U << plen); pfx++) {
btrie_oct_t prefix0 = plen ? pfx << (8 - plen) : 0;
init_empty_node(btrie, &root);
init_terminal_node(btrie, tbm_insert_ext_path(btrie, &root.tbm_node, 0),
TBM_STRIDE,
numbered_bytes, 8, data);
result = add_to_trie(btrie, &root, 0, &prefix0, plen, data);
assert(result == BTRIE_OKAY);
assert(is_tbm_node(&root));
assert(root.tbm_node.ext_bm == bit(0));
assert(root.tbm_node.int_bm == bit(base_index(pfx, plen)));
assert(*tbm_data_p(&root.tbm_node, pfx, plen) == data);
result = add_to_trie(btrie, &root, 0, &prefix0, plen, data);
assert(result == BTRIE_DUPLICATE_PREFIX);
}
}
/* test can add extending paths to TBM node */
for (pfx = 0; pfx < (1U << TBM_STRIDE); pfx++) {
btrie_oct_t prefix0 = pfx << (8 - TBM_STRIDE);
init_empty_node(btrie, &root);
tbm_insert_data(btrie, &root.tbm_node, 0, 0, data);
result = add_to_trie(btrie, &root, 0, &prefix0, 8, data);
assert(result == BTRIE_OKAY);
assert(is_tbm_node(&root));
assert(root.tbm_node.ext_bm == bit(pfx));
assert(root.tbm_node.int_bm == bit(base_index(0, 0)));
check_terminal_lc_node(&tbm_ext_path(&root.tbm_node, pfx)->lc_node,
8 - TBM_STRIDE, data);
result = add_to_trie(btrie, &root, 0, &prefix0, 8, data);
assert(result == BTRIE_DUPLICATE_PREFIX);
}
/* test can follow extending path */
init_empty_node(btrie, &root);
init_terminal_node(btrie,
tbm_insert_ext_path(btrie, &root.tbm_node, 0), TBM_STRIDE,
numbered_bytes, 8, data);
result = add_to_trie(btrie, &root, 0, numbered_bytes, 7, data);
assert(result == BTRIE_OKAY);
assert(root.tbm_node.ext_bm == bit(0));
assert(root.tbm_node.int_bm == 0);
check_non_terminal_lc_node(&root.tbm_node.ptr.children[0].lc_node,
7 - TBM_STRIDE);
PASS("test_add_to_trie");
}
static void
test_search_trie()
{
struct btrie *btrie = btrie_init(NULL);
const void *data01 = (void *)0xdead0001;
const void *data11 = (void *)0xdead0101;
const void *data = (void *)0xdeadbeef;
unsigned plen, pfx;
node_t root;
/* test can follow chain of LC nodes to an exact match */
init_empty_node(btrie, &root);
add_to_trie(btrie, &root, 0,
numbered_bytes, 8 * 2 * LC_BYTES_PER_NODE, data);
assert(search_trie(&root, 0, numbered_bytes, 8 * 2 * LC_BYTES_PER_NODE)
== data);
assert(search_trie(&root, 0, numbered_bytes, 8 * 2 * LC_BYTES_PER_NODE + 1)
== data);
assert(search_trie(&root, 0, numbered_bytes, 8 * 2 * LC_BYTES_PER_NODE - 1)
== NULL);
assert(search_trie(&root, 0, &numbered_bytes[1], 8 * 2 * LC_BYTES_PER_NODE)
== NULL);
/* test can follow extending path to an exact match */
for (pfx = 0; pfx < (1U << TBM_STRIDE); pfx++) {
btrie_oct_t prefix0 = pfx << (8 - TBM_STRIDE);
init_empty_node(btrie, &root);
tbm_insert_data(btrie, &root.tbm_node, 0, 1, data01);
tbm_insert_data(btrie, &root.tbm_node, 1, 1, data11);
add_to_trie(btrie, &root, 0, &prefix0, 8, data);
assert(search_trie(&root, 0, &prefix0, 8) == data);
/* test that last matching TBM internal prefix gets picked up */
if (prefix0 & 0x80)
assert(search_trie(&root, 0, &prefix0, 7) == data11);
else
assert(search_trie(&root, 0, &prefix0, 7) == data01);
prefix0 ^= 1 << (8 - TBM_STRIDE);
if (prefix0 & 0x80)
assert(search_trie(&root, 0, &prefix0, 8) == data11);
else
assert(search_trie(&root, 0, &prefix0, 8) == data01);
}
/* test finding of TBM internal prefixes */
init_empty_node(btrie, &root);
tbm_insert_data(btrie, &root.tbm_node, 0, 1, data01);
tbm_insert_data(btrie, &root.tbm_node, 1, 1, data11);
assert(search_trie(&root, 0, numbered_bytes, 0) == NULL);
for (plen = 1; plen < TBM_STRIDE; plen++) {
for (pfx = 0; pfx < (1U << TBM_STRIDE); pfx++) {
btrie_oct_t prefix0 = pfx << (8 - plen);
if (prefix0 & 0x80)
assert(search_trie(&root, 0, &prefix0, plen) == data11);
else
assert(search_trie(&root, 0, &prefix0, plen) == data01);
}
}
PASS("test_search_trie");
}
static int
unit_tests()
{
test_struct_node_packing();
test_bit();
test_count_bits();
test_count_bits_before();
test_count_bits_from();
test_extract_bits();
test_high_bits();
test_prefixes_equal();
test_common_prefix();
test_base_index();
test_has_internal_data();
test_init_terminal_node();
test_coalesce_lc_node();
test_shorten_lc_node();
test_split_lc_node();
test_convert_lc_node_1();
test_convert_lc_node();
test_insert_lc_node();
test_next_pbyte();
test_init_tbm_node();
test_add_to_trie();
test_search_trie();
puts("\nOK");
return 0;
}
/*****************************************************************
*
* btrie_dump: print out the trie structure (for testing)
*
*/
#define INDENT_FILL "....:....|....:....|....:....|....:....|"
static void dump_node(const node_t *node, unsigned pos, btrie_oct_t *prefix,
int indent);
static void
dump_prefix(btrie_oct_t *prefix, unsigned len, int indent, const char *tail)
{
unsigned i;
printf("%*.*s0x", indent, indent, INDENT_FILL);
for (i = 0; i < len / 8; i++)
printf("%02x", prefix[i]);
if (len % 8)
printf("%02x", prefix[len / 8] & high_bits(len % 8));
printf("/%u%s", len, tail);
}
/* the opposite of extract_bits, sets a short string of bits from integer */
static void
insert_bits(btrie_oct_t *prefix, unsigned pos, btrie_oct_t pfx, unsigned nbits)
{
if (nbits != 0) {
unsigned v = (prefix[pos / 8] << 8) + prefix[pos / 8 + 1];
unsigned mask = (1U << nbits) - 1;
unsigned shift = 16 - (pos % 8) - nbits;
v = (v & ~(mask << shift)) | (pfx << shift);
prefix[pos / 8] = v >> 8;
prefix[pos / 8 + 1] = (btrie_oct_t)v;
}
}
static void
dump_tbm_node(const struct tbm_node *node, unsigned pos,
btrie_oct_t *prefix, int indent)
{
unsigned pfx = 0, plen = 0;
dump_prefix(prefix, pos, indent, " [tbm]\n");
for (;;) {
if (plen < TBM_STRIDE) {
const void **data_p = tbm_data_p(node, pfx, plen);
if (data_p) {
insert_bits(prefix, pos, pfx, plen);
dump_prefix(prefix, pos + plen, indent, "");
printf(" [%u/%u] (%s)\n", pfx, plen, (const char *)*data_p);
}
plen++;
pfx <<= 1;
}
else {
const node_t *ext_path = tbm_ext_path(node, pfx);
if (ext_path) {
insert_bits(prefix, pos, pfx, TBM_STRIDE);
dump_node(ext_path, pos + TBM_STRIDE, prefix, indent + 1);
}
while (pfx & 1) {
if (--plen == 0)
return;
pfx >>= 1;
}
pfx++;
}
}
}
static void
dump_lc_node(const struct lc_node *node, unsigned pos,
btrie_oct_t *prefix, int indent)
{
unsigned end = pos + lc_len(node);
btrie_oct_t save_prefix = prefix[lc_shift(pos)];
memcpy(&prefix[lc_shift(pos)], node->prefix, lc_bytes(node, pos));
if (lc_is_terminal(node)) {
dump_prefix(prefix, end, indent, "");
printf(" (%s)\n", (const char *)node->ptr.data);
}
else {
dump_prefix(prefix, end, indent, "\n");
dump_node(node->ptr.child, end, prefix, indent + 1);
}
prefix[lc_shift(pos)] = save_prefix;
if (lc_bytes(node, pos) > 1)
memset(&prefix[lc_shift(pos) + 1], 0, lc_bytes(node, pos) - 1);
}
static void
dump_node(const node_t *node, unsigned pos, btrie_oct_t *prefix, int indent)
{
if (is_lc_node(node))
dump_lc_node(&node->lc_node, pos, prefix, indent);
else
dump_tbm_node(&node->tbm_node, pos, prefix, indent);
}
static void
btrie_dump(struct btrie *btrie)
{
btrie_oct_t prefix[(BTRIE_MAX_PREFIX + 7) / 8];
memset(prefix, 0, sizeof(prefix));
dump_node(&btrie->root, 0, prefix, 0);
puts(btrie_stats(btrie));
}
/****************************************************************
*
* test program - just enough to construct a trie and preform a lookup
*
*/
#include <arpa/inet.h>
static int
parse_prefix(const char *arg, btrie_oct_t prefix[16], unsigned *len)
{
char addrbuf[128];
return sscanf(arg, "%127[0-9a-fA-F:]/%u", addrbuf, len) == 2
&& inet_pton(AF_INET6, addrbuf, prefix) == 1;
}
static int
test_btrie(int argc, char *argv[])
{
struct btrie *btrie = btrie_init(NULL);
int i;
btrie_oct_t prefix[16];
unsigned len;
for (i = 1; i < argc-1; i++) {
if (!parse_prefix(argv[i], prefix, &len)) {
fprintf(stderr, "Can not parse arg '%s'\n", argv[i]);
return 1;
}
btrie_add_prefix(btrie, prefix, len, argv[i]);
}
btrie_dump(btrie);
if (argc > 1) {
const void *data;
if (!parse_prefix(argv[argc-1], prefix, &len)) {
fprintf(stderr, "Can not parse arg '%s'\n", argv[argc-1]);
return 1;
}
data = btrie_lookup(btrie, prefix, 128);
printf("lookup(%s) => %s\n", argv[argc-1], (const char *)data);
}
return 0;
}
int
main(int argc, char *argv[])
{
if ((pgm_name = strrchr(argv[0], '/')) != NULL)
pgm_name++;
else
pgm_name = argv[0];
if (argc > 1)
return test_btrie(argc, argv);
else
return unit_tests();
}
#endif /* TEST */
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