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1/* SPDX-License-Identifier: BSD-3-Clause
2 * Copyright(c) 2019 Intel Corporation
3 */
4
5#include <string.h>
6
7#include <rte_eal_memconfig.h>
8#include <rte_errno.h>
9#include <rte_hash.h>
10#include <rte_hash_crc.h>
11#include <rte_malloc.h>
12#include <rte_random.h>
13#include <rte_rwlock.h>
14#include <rte_tailq.h>
15
16#include "rte_ipsec_sad.h"
17
18/*
19 * Rules are stored in three hash tables depending on key_type.
20 * Each rule will also be stored in SPI_ONLY table.
21 * for each data entry within this table last two bits are reserved to
22 * indicate presence of entries with the same SPI in DIP and DIP+SIP tables.
23 */
24
25#define SAD_PREFIX "SAD_"
26/* "SAD_<name>" */
27#define SAD_FORMAT SAD_PREFIX "%s"
28
29#define DEFAULT_HASH_FUNC rte_hash_crc
30#define MIN_HASH_ENTRIES 8U /* From rte_cuckoo_hash.h */
31
32struct hash_cnt {
33 uint32_t cnt_dip;
34 uint32_t cnt_dip_sip;
35};
36
37struct rte_ipsec_sad {
38 char name[RTE_IPSEC_SAD_NAMESIZE];
39 struct rte_hash *hash[RTE_IPSEC_SAD_KEY_TYPE_MASK];
40 uint32_t keysize[RTE_IPSEC_SAD_KEY_TYPE_MASK];
41 uint32_t init_val;
42 /* Array to track number of more specific rules
43 * (spi_dip or spi_dip_sip). Used only in add/delete
44 * as a helper struct.
45 */
46 __extension__ struct hash_cnt cnt_arr[];
47};
48
49TAILQ_HEAD(rte_ipsec_sad_list, rte_tailq_entry);
50static struct rte_tailq_elem rte_ipsec_sad_tailq = {
51 .name = "RTE_IPSEC_SAD",
52};
53EAL_REGISTER_TAILQ(rte_ipsec_sad_tailq)
54
55#define SET_BIT(ptr, bit) (void *)((uintptr_t)(ptr) | (uintptr_t)(bit))
56#define CLEAR_BIT(ptr, bit) (void *)((uintptr_t)(ptr) & ~(uintptr_t)(bit))
57#define GET_BIT(ptr, bit) (void *)((uintptr_t)(ptr) & (uintptr_t)(bit))
58
59/*
60 * @internal helper function
61 * Add a rule of type SPI_DIP or SPI_DIP_SIP.
62 * Inserts a rule into an appropriate hash table,
63 * updates the value for a given SPI in SPI_ONLY hash table
64 * reflecting presence of more specific rule type in two LSBs.
65 * Updates a counter that reflects the number of rules whith the same SPI.
66 */
67static inline int
68add_specific(struct rte_ipsec_sad *sad, const void *key,
69 int key_type, void *sa)
70{
71 void *tmp_val;
72 int ret, notexist;
73
74 /* Check if the key is present in the table.
75 * Need for further accaunting in cnt_arr
76 */
77 ret = rte_hash_lookup_with_hash(sad->hash[key_type], key,
78 rte_hash_crc(key, sad->keysize[key_type], sad->init_val));
79 notexist = (ret == -ENOENT);
80
81 /* Add an SA to the corresponding table.*/
82 ret = rte_hash_add_key_with_hash_data(sad->hash[key_type], key,
83 rte_hash_crc(key, sad->keysize[key_type], sad->init_val), sa);
84 if (ret != 0)
85 return ret;
86
87 /* Check if there is an entry in SPI only table with the same SPI */
88 ret = rte_hash_lookup_with_hash_data(sad->hash[RTE_IPSEC_SAD_SPI_ONLY],
89 key, rte_hash_crc(key, sad->keysize[RTE_IPSEC_SAD_SPI_ONLY],
90 sad->init_val), &tmp_val);
91 if (ret < 0)
92 tmp_val = NULL;
93 tmp_val = SET_BIT(tmp_val, key_type);
94
95 /* Add an entry into SPI only table */
96 ret = rte_hash_add_key_with_hash_data(
97 sad->hash[RTE_IPSEC_SAD_SPI_ONLY], key,
98 rte_hash_crc(key, sad->keysize[RTE_IPSEC_SAD_SPI_ONLY],
99 sad->init_val), tmp_val);
100 if (ret != 0)
101 return ret;
102
103 /* Update a counter for a given SPI */
104 ret = rte_hash_lookup_with_hash(sad->hash[RTE_IPSEC_SAD_SPI_ONLY], key,
105 rte_hash_crc(key, sad->keysize[RTE_IPSEC_SAD_SPI_ONLY],
106 sad->init_val));
107 if (ret < 0)
108 return ret;
109 if (key_type == RTE_IPSEC_SAD_SPI_DIP)
110 sad->cnt_arr[ret].cnt_dip += notexist;
111 else
112 sad->cnt_arr[ret].cnt_dip_sip += notexist;
113
114 return 0;
115}
116
117int
118rte_ipsec_sad_add(struct rte_ipsec_sad *sad,
119 const union rte_ipsec_sad_key *key,
120 int key_type, void *sa)
121{
122 void *tmp_val;
123 int ret;
124
125 if ((sad == NULL) || (key == NULL) || (sa == NULL) ||
126 /* sa must be 4 byte aligned */
127 (GET_BIT(sa, RTE_IPSEC_SAD_KEY_TYPE_MASK) != 0))
128 return -EINVAL;
129
130 /*
131 * Rules are stored in three hash tables depending on key_type.
132 * All rules will also have an entry in SPI_ONLY table, with entry
133 * value's two LSB's also indicating presence of rule with this SPI
134 * in other tables.
135 */
136 switch (key_type) {
137 case(RTE_IPSEC_SAD_SPI_ONLY):
138 ret = rte_hash_lookup_with_hash_data(sad->hash[key_type],
139 key, rte_hash_crc(key, sad->keysize[key_type],
140 sad->init_val), &tmp_val);
141 if (ret >= 0)
142 tmp_val = SET_BIT(sa, GET_BIT(tmp_val,
143 RTE_IPSEC_SAD_KEY_TYPE_MASK));
144 else
145 tmp_val = sa;
146 ret = rte_hash_add_key_with_hash_data(sad->hash[key_type],
147 key, rte_hash_crc(key, sad->keysize[key_type],
148 sad->init_val), tmp_val);
149 return ret;
150 case(RTE_IPSEC_SAD_SPI_DIP):
151 case(RTE_IPSEC_SAD_SPI_DIP_SIP):
152 return add_specific(sad, key, key_type, sa);
153 default:
154 return -EINVAL;
155 }
156}
157
158/*
159 * @internal helper function
160 * Delete a rule of type SPI_DIP or SPI_DIP_SIP.
161 * Deletes an entry from an appropriate hash table and decrements
162 * an entry counter for given SPI.
163 * If entry to remove is the last one with given SPI within the table,
164 * then it will also update related entry in SPI_ONLY table.
165 * Removes an entry from SPI_ONLY hash table if there no rule left
166 * for this SPI in any table.
167 */
168static inline int
169del_specific(struct rte_ipsec_sad *sad, const void *key, int key_type)
170{
171 void *tmp_val;
172 int ret;
173 uint32_t *cnt;
174
175 /* Remove an SA from the corresponding table.*/
176 ret = rte_hash_del_key_with_hash(sad->hash[key_type], key,
177 rte_hash_crc(key, sad->keysize[key_type], sad->init_val));
178 if (ret < 0)
179 return ret;
180
181 /* Get an index of cnt_arr entry for a given SPI */
182 ret = rte_hash_lookup_with_hash_data(sad->hash[RTE_IPSEC_SAD_SPI_ONLY],
183 key, rte_hash_crc(key, sad->keysize[RTE_IPSEC_SAD_SPI_ONLY],
184 sad->init_val), &tmp_val);
185 if (ret < 0)
186 return ret;
187 cnt = (key_type == RTE_IPSEC_SAD_SPI_DIP) ?
188 &sad->cnt_arr[ret].cnt_dip :
189 &sad->cnt_arr[ret].cnt_dip_sip;
190 if (--(*cnt) != 0)
191 return 0;
192
193 /* corresponding counter is 0, clear the bit indicating
194 * the presence of more specific rule for a given SPI.
195 */
196 tmp_val = CLEAR_BIT(tmp_val, key_type);
197
198 /* if there are no rules left with same SPI,
199 * remove an entry from SPI_only table
200 */
201 if (tmp_val == NULL)
202 ret = rte_hash_del_key_with_hash(
203 sad->hash[RTE_IPSEC_SAD_SPI_ONLY], key,
204 rte_hash_crc(key, sad->keysize[RTE_IPSEC_SAD_SPI_ONLY],
205 sad->init_val));
206 else
207 ret = rte_hash_add_key_with_hash_data(
208 sad->hash[RTE_IPSEC_SAD_SPI_ONLY], key,
209 rte_hash_crc(key, sad->keysize[RTE_IPSEC_SAD_SPI_ONLY],
210 sad->init_val), tmp_val);
211 if (ret < 0)
212 return ret;
213 return 0;
214}
215
216int
217rte_ipsec_sad_del(struct rte_ipsec_sad *sad,
218 const union rte_ipsec_sad_key *key,
219 int key_type)
220{
221 void *tmp_val;
222 int ret;
223
224 if ((sad == NULL) || (key == NULL))
225 return -EINVAL;
226 switch (key_type) {
227 case(RTE_IPSEC_SAD_SPI_ONLY):
228 ret = rte_hash_lookup_with_hash_data(sad->hash[key_type],
229 key, rte_hash_crc(key, sad->keysize[key_type],
230 sad->init_val), &tmp_val);
231 if (ret < 0)
232 return ret;
233 if (GET_BIT(tmp_val, RTE_IPSEC_SAD_KEY_TYPE_MASK) == 0) {
234 ret = rte_hash_del_key_with_hash(sad->hash[key_type],
235 key, rte_hash_crc(key, sad->keysize[key_type],
236 sad->init_val));
237 ret = ret < 0 ? ret : 0;
238 } else {
239 tmp_val = GET_BIT(tmp_val,
240 RTE_IPSEC_SAD_KEY_TYPE_MASK);
241 ret = rte_hash_add_key_with_hash_data(
242 sad->hash[key_type], key,
243 rte_hash_crc(key, sad->keysize[key_type],
244 sad->init_val), tmp_val);
245 }
246 return ret;
247 case(RTE_IPSEC_SAD_SPI_DIP):
248 case(RTE_IPSEC_SAD_SPI_DIP_SIP):
249 return del_specific(sad, key, key_type);
250 default:
251 return -EINVAL;
252 }
253}
254
255struct rte_ipsec_sad *
256rte_ipsec_sad_create(const char *name, const struct rte_ipsec_sad_conf *conf)
257{
258 char hash_name[RTE_HASH_NAMESIZE];
259 char sad_name[RTE_IPSEC_SAD_NAMESIZE];
260 struct rte_tailq_entry *te;
261 struct rte_ipsec_sad_list *sad_list;
262 struct rte_ipsec_sad *sad, *tmp_sad = NULL;
263 struct rte_hash_parameters hash_params = {0};
264 int ret;
265 uint32_t sa_sum;
266
267 RTE_BUILD_BUG_ON(RTE_IPSEC_SAD_KEY_TYPE_MASK != 3);
268
269 if ((name == NULL) || (conf == NULL) ||
270 ((conf->max_sa[RTE_IPSEC_SAD_SPI_ONLY] == 0) &&
271 (conf->max_sa[RTE_IPSEC_SAD_SPI_DIP] == 0) &&
272 (conf->max_sa[RTE_IPSEC_SAD_SPI_DIP_SIP] == 0))) {
273 rte_errno = EINVAL;
274 return NULL;
275 }
276
277 ret = snprintf(sad_name, RTE_IPSEC_SAD_NAMESIZE, SAD_FORMAT, name);
278 if (ret < 0 || ret >= RTE_IPSEC_SAD_NAMESIZE) {
279 rte_errno = ENAMETOOLONG;
280 return NULL;
281 }
282
283 /** Init SAD*/
284 sa_sum = RTE_MAX(MIN_HASH_ENTRIES,
285 conf->max_sa[RTE_IPSEC_SAD_SPI_ONLY]) +
286 RTE_MAX(MIN_HASH_ENTRIES,
287 conf->max_sa[RTE_IPSEC_SAD_SPI_DIP]) +
288 RTE_MAX(MIN_HASH_ENTRIES,
289 conf->max_sa[RTE_IPSEC_SAD_SPI_DIP_SIP]);
290 sad = rte_zmalloc_socket(NULL, sizeof(*sad) +
291 (sizeof(struct hash_cnt) * sa_sum),
292 RTE_CACHE_LINE_SIZE, conf->socket_id);
293 if (sad == NULL) {
294 rte_errno = ENOMEM;
295 return NULL;
296 }
297 memcpy(sad->name, sad_name, sizeof(sad_name));
298
299 hash_params.hash_func = DEFAULT_HASH_FUNC;
300 hash_params.hash_func_init_val = rte_rand();
301 sad->init_val = hash_params.hash_func_init_val;
302 hash_params.socket_id = conf->socket_id;
303 hash_params.name = hash_name;
304 if (conf->flags & RTE_IPSEC_SAD_FLAG_RW_CONCURRENCY)
305 hash_params.extra_flag = RTE_HASH_EXTRA_FLAGS_RW_CONCURRENCY;
306
307 /** Init hash[RTE_IPSEC_SAD_SPI_ONLY] for SPI only */
308 snprintf(hash_name, sizeof(hash_name), "sad_1_%p", sad);
309 hash_params.key_len = sizeof(((struct rte_ipsec_sadv4_key *)0)->spi);
310 sad->keysize[RTE_IPSEC_SAD_SPI_ONLY] = hash_params.key_len;
311 hash_params.entries = sa_sum;
312 sad->hash[RTE_IPSEC_SAD_SPI_ONLY] = rte_hash_create(&hash_params);
313 if (sad->hash[RTE_IPSEC_SAD_SPI_ONLY] == NULL) {
314 rte_ipsec_sad_destroy(sad);
315 return NULL;
316 }
317
318 /** Init hash[RTE_IPSEC_SAD_SPI_DIP] for SPI + DIP */
319 snprintf(hash_name, sizeof(hash_name), "sad_2_%p", sad);
320 if (conf->flags & RTE_IPSEC_SAD_FLAG_IPV6)
321 hash_params.key_len +=
322 sizeof(((struct rte_ipsec_sadv6_key *)0)->dip);
323 else
324 hash_params.key_len +=
325 sizeof(((struct rte_ipsec_sadv4_key *)0)->dip);
326 sad->keysize[RTE_IPSEC_SAD_SPI_DIP] = hash_params.key_len;
327 hash_params.entries = RTE_MAX(MIN_HASH_ENTRIES,
328 conf->max_sa[RTE_IPSEC_SAD_SPI_DIP]);
329 sad->hash[RTE_IPSEC_SAD_SPI_DIP] = rte_hash_create(&hash_params);
330 if (sad->hash[RTE_IPSEC_SAD_SPI_DIP] == NULL) {
331 rte_ipsec_sad_destroy(sad);
332 return NULL;
333 }
334
335 /** Init hash[[RTE_IPSEC_SAD_SPI_DIP_SIP] for SPI + DIP + SIP */
336 snprintf(hash_name, sizeof(hash_name), "sad_3_%p", sad);
337 if (conf->flags & RTE_IPSEC_SAD_FLAG_IPV6)
338 hash_params.key_len +=
339 sizeof(((struct rte_ipsec_sadv6_key *)0)->sip);
340 else
341 hash_params.key_len +=
342 sizeof(((struct rte_ipsec_sadv4_key *)0)->sip);
343 sad->keysize[RTE_IPSEC_SAD_SPI_DIP_SIP] = hash_params.key_len;
344 hash_params.entries = RTE_MAX(MIN_HASH_ENTRIES,
345 conf->max_sa[RTE_IPSEC_SAD_SPI_DIP_SIP]);
346 sad->hash[RTE_IPSEC_SAD_SPI_DIP_SIP] = rte_hash_create(&hash_params);
347 if (sad->hash[RTE_IPSEC_SAD_SPI_DIP_SIP] == NULL) {
348 rte_ipsec_sad_destroy(sad);
349 return NULL;
350 }
351
352 sad_list = RTE_TAILQ_CAST(rte_ipsec_sad_tailq.head,
353 rte_ipsec_sad_list);
354 rte_mcfg_tailq_write_lock();
355 /* guarantee there's no existing */
356 TAILQ_FOREACH(te, sad_list, next) {
357 tmp_sad = (struct rte_ipsec_sad *)te->data;
358 if (strncmp(sad_name, tmp_sad->name,
359 RTE_IPSEC_SAD_NAMESIZE) == 0)
360 break;
361 }
362 if (te != NULL) {
363 rte_mcfg_tailq_write_unlock();
364 rte_errno = EEXIST;
365 rte_ipsec_sad_destroy(sad);
366 return NULL;
367 }
368
369 /* allocate tailq entry */
370 te = rte_zmalloc("IPSEC_SAD_TAILQ_ENTRY", sizeof(*te), 0);
371 if (te == NULL) {
372 rte_mcfg_tailq_write_unlock();
373 rte_errno = ENOMEM;
374 rte_ipsec_sad_destroy(sad);
375 return NULL;
376 }
377
378 te->data = (void *)sad;
379 TAILQ_INSERT_TAIL(sad_list, te, next);
380 rte_mcfg_tailq_write_unlock();
381 return sad;
382}
383
384struct rte_ipsec_sad *
385rte_ipsec_sad_find_existing(const char *name)
386{
387 char sad_name[RTE_IPSEC_SAD_NAMESIZE];
388 struct rte_ipsec_sad *sad = NULL;
389 struct rte_tailq_entry *te;
390 struct rte_ipsec_sad_list *sad_list;
391 int ret;
392
393 ret = snprintf(sad_name, RTE_IPSEC_SAD_NAMESIZE, SAD_FORMAT, name);
394 if (ret < 0 || ret >= RTE_IPSEC_SAD_NAMESIZE) {
395 rte_errno = ENAMETOOLONG;
396 return NULL;
397 }
398
399 sad_list = RTE_TAILQ_CAST(rte_ipsec_sad_tailq.head,
400 rte_ipsec_sad_list);
401
402 rte_mcfg_tailq_read_lock();
403 TAILQ_FOREACH(te, sad_list, next) {
404 sad = (struct rte_ipsec_sad *) te->data;
405 if (strncmp(sad_name, sad->name, RTE_IPSEC_SAD_NAMESIZE) == 0)
406 break;
407 }
408 rte_mcfg_tailq_read_unlock();
409
410 if (te == NULL) {
411 rte_errno = ENOENT;
412 return NULL;
413 }
414
415 return sad;
416}
417
418void
419rte_ipsec_sad_destroy(struct rte_ipsec_sad *sad)
420{
421 struct rte_tailq_entry *te;
422 struct rte_ipsec_sad_list *sad_list;
423
424 if (sad == NULL)
425 return;
426
427 sad_list = RTE_TAILQ_CAST(rte_ipsec_sad_tailq.head,
428 rte_ipsec_sad_list);
429 rte_mcfg_tailq_write_lock();
430 TAILQ_FOREACH(te, sad_list, next) {
431 if (te->data == (void *)sad)
432 break;
433 }
434 if (te != NULL)
435 TAILQ_REMOVE(sad_list, te, next);
436
437 rte_mcfg_tailq_write_unlock();
438
439 rte_hash_free(sad->hash[RTE_IPSEC_SAD_SPI_ONLY]);
440 rte_hash_free(sad->hash[RTE_IPSEC_SAD_SPI_DIP]);
441 rte_hash_free(sad->hash[RTE_IPSEC_SAD_SPI_DIP_SIP]);
442 rte_free(sad);
443 if (te != NULL)
444 rte_free(te);
445}
446
447/*
448 * @internal helper function
449 * Lookup a batch of keys in three hash tables.
450 * First lookup key in SPI_ONLY table.
451 * If there is an entry for the corresponding SPI check its value.
452 * Two least significant bits of the value indicate
453 * the presence of more specific rule in other tables.
454 * Perform additional lookup in corresponding hash tables
455 * and update the value if lookup succeeded.
456 */
457static int
458__ipsec_sad_lookup(const struct rte_ipsec_sad *sad,
459 const union rte_ipsec_sad_key *keys[], void *sa[], uint32_t n)
460{
461 const void *keys_2[RTE_HASH_LOOKUP_BULK_MAX];
462 const void *keys_3[RTE_HASH_LOOKUP_BULK_MAX];
463 void *vals_2[RTE_HASH_LOOKUP_BULK_MAX] = {NULL};
464 void *vals_3[RTE_HASH_LOOKUP_BULK_MAX] = {NULL};
465 uint32_t idx_2[RTE_HASH_LOOKUP_BULK_MAX];
466 uint32_t idx_3[RTE_HASH_LOOKUP_BULK_MAX];
467 uint64_t mask_1, mask_2, mask_3;
468 uint64_t map, map_spec;
469 uint32_t n_2 = 0;
470 uint32_t n_3 = 0;
471 uint32_t i;
472 int found = 0;
473 hash_sig_t hash_sig[RTE_HASH_LOOKUP_BULK_MAX];
474 hash_sig_t hash_sig_2[RTE_HASH_LOOKUP_BULK_MAX];
475 hash_sig_t hash_sig_3[RTE_HASH_LOOKUP_BULK_MAX];
476
477 for (i = 0; i < n; i++) {
478 sa[i] = NULL;
479 hash_sig[i] = rte_hash_crc_4byte(keys[i]->v4.spi,
480 sad->init_val);
481 }
482
483 /*
484 * Lookup keys in SPI only hash table first.
485 */
486 rte_hash_lookup_with_hash_bulk_data(sad->hash[RTE_IPSEC_SAD_SPI_ONLY],
487 (const void **)keys, hash_sig, n, &mask_1, sa);
488 for (map = mask_1; map; map &= (map - 1)) {
489 i = rte_bsf64(map);
490 /*
491 * if returned value indicates presence of a rule in other
492 * tables save a key for further lookup.
493 */
494 if ((uintptr_t)sa[i] & RTE_IPSEC_SAD_SPI_DIP_SIP) {
495 idx_3[n_3] = i;
496 hash_sig_3[n_3] = rte_hash_crc(keys[i],
497 sad->keysize[RTE_IPSEC_SAD_SPI_DIP_SIP],
498 sad->init_val);
499 keys_3[n_3++] = keys[i];
500 }
501 if ((uintptr_t)sa[i] & RTE_IPSEC_SAD_SPI_DIP) {
502 idx_2[n_2] = i;
503 hash_sig_2[n_2] = rte_hash_crc(keys[i],
504 sad->keysize[RTE_IPSEC_SAD_SPI_DIP],
505 sad->init_val);
506 keys_2[n_2++] = keys[i];
507 }
508 /* clear 2 LSB's which indicate the presence
509 * of more specific rules
510 */
511 sa[i] = CLEAR_BIT(sa[i], RTE_IPSEC_SAD_KEY_TYPE_MASK);
512 }
513
514 /* Lookup for more specific rules in SPI_DIP table */
515 if (n_2 != 0) {
516 rte_hash_lookup_with_hash_bulk_data(
517 sad->hash[RTE_IPSEC_SAD_SPI_DIP],
518 keys_2, hash_sig_2, n_2, &mask_2, vals_2);
519 for (map_spec = mask_2; map_spec; map_spec &= (map_spec - 1)) {
520 i = rte_bsf64(map_spec);
521 sa[idx_2[i]] = vals_2[i];
522 }
523 }
524 /* Lookup for more specific rules in SPI_DIP_SIP table */
525 if (n_3 != 0) {
526 rte_hash_lookup_with_hash_bulk_data(
527 sad->hash[RTE_IPSEC_SAD_SPI_DIP_SIP],
528 keys_3, hash_sig_3, n_3, &mask_3, vals_3);
529 for (map_spec = mask_3; map_spec; map_spec &= (map_spec - 1)) {
530 i = rte_bsf64(map_spec);
531 sa[idx_3[i]] = vals_3[i];
532 }
533 }
534
535 for (i = 0; i < n; i++)
536 found += (sa[i] != NULL);
537
538 return found;
539}
540
541int
542rte_ipsec_sad_lookup(const struct rte_ipsec_sad *sad,
543 const union rte_ipsec_sad_key *keys[], void *sa[], uint32_t n)
544{
545 uint32_t num, i = 0;
546 int found = 0;
547
548 if (unlikely((sad == NULL) || (keys == NULL) || (sa == NULL)))
549 return -EINVAL;
550
551 do {
552 num = RTE_MIN(n - i, (uint32_t)RTE_HASH_LOOKUP_BULK_MAX);
553 found += __ipsec_sad_lookup(sad,
554 &keys[i], &sa[i], num);
555 i += num;
556 } while (i != n);
557
558 return found;
559}