Home | History | Annotate | Download | only in zfs
      1 /*
      2  * CDDL HEADER START
      3  *
      4  * The contents of this file are subject to the terms of the
      5  * Common Development and Distribution License (the "License").
      6  * You may not use this file except in compliance with the License.
      7  *
      8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
      9  * or http://www.opensolaris.org/os/licensing.
     10  * See the License for the specific language governing permissions
     11  * and limitations under the License.
     12  *
     13  * When distributing Covered Code, include this CDDL HEADER in each
     14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
     15  * If applicable, add the following below this CDDL HEADER, with the
     16  * fields enclosed by brackets "[]" replaced with your own identifying
     17  * information: Portions Copyright [yyyy] [name of copyright owner]
     18  *
     19  * CDDL HEADER END
     20  */
     21 /*
     22  * Copyright 2009 Sun Microsystems, Inc.  All rights reserved.
     23  * Use is subject to license terms.
     24  */
     25 
     26 #include <sys/zfs_context.h>
     27 #include <sys/spa.h>
     28 #include <sys/dmu.h>
     29 #include <sys/zio.h>
     30 #include <sys/space_map.h>
     31 
     32 /*
     33  * Space map routines.
     34  * NOTE: caller is responsible for all locking.
     35  */
     36 static int
     37 space_map_seg_compare(const void *x1, const void *x2)
     38 {
     39 	const space_seg_t *s1 = x1;
     40 	const space_seg_t *s2 = x2;
     41 
     42 	if (s1->ss_start < s2->ss_start) {
     43 		if (s1->ss_end > s2->ss_start)
     44 			return (0);
     45 		return (-1);
     46 	}
     47 	if (s1->ss_start > s2->ss_start) {
     48 		if (s1->ss_start < s2->ss_end)
     49 			return (0);
     50 		return (1);
     51 	}
     52 	return (0);
     53 }
     54 
     55 void
     56 space_map_create(space_map_t *sm, uint64_t start, uint64_t size, uint8_t shift,
     57 	kmutex_t *lp)
     58 {
     59 	bzero(sm, sizeof (*sm));
     60 
     61 	cv_init(&sm->sm_load_cv, NULL, CV_DEFAULT, NULL);
     62 
     63 	avl_create(&sm->sm_root, space_map_seg_compare,
     64 	    sizeof (space_seg_t), offsetof(struct space_seg, ss_node));
     65 
     66 	sm->sm_start = start;
     67 	sm->sm_size = size;
     68 	sm->sm_shift = shift;
     69 	sm->sm_lock = lp;
     70 }
     71 
     72 void
     73 space_map_destroy(space_map_t *sm)
     74 {
     75 	ASSERT(!sm->sm_loaded && !sm->sm_loading);
     76 	VERIFY3U(sm->sm_space, ==, 0);
     77 	avl_destroy(&sm->sm_root);
     78 	cv_destroy(&sm->sm_load_cv);
     79 }
     80 
     81 void
     82 space_map_add(space_map_t *sm, uint64_t start, uint64_t size)
     83 {
     84 	avl_index_t where;
     85 	space_seg_t ssearch, *ss_before, *ss_after, *ss;
     86 	uint64_t end = start + size;
     87 	int merge_before, merge_after;
     88 
     89 	ASSERT(MUTEX_HELD(sm->sm_lock));
     90 	VERIFY(size != 0);
     91 	VERIFY3U(start, >=, sm->sm_start);
     92 	VERIFY3U(end, <=, sm->sm_start + sm->sm_size);
     93 	VERIFY(sm->sm_space + size <= sm->sm_size);
     94 	VERIFY(P2PHASE(start, 1ULL << sm->sm_shift) == 0);
     95 	VERIFY(P2PHASE(size, 1ULL << sm->sm_shift) == 0);
     96 
     97 	ssearch.ss_start = start;
     98 	ssearch.ss_end = end;
     99 	ss = avl_find(&sm->sm_root, &ssearch, &where);
    100 
    101 	if (ss != NULL && ss->ss_start <= start && ss->ss_end >= end) {
    102 		zfs_panic_recover("zfs: allocating allocated segment"
    103 		    "(offset=%llu size=%llu)\n",
    104 		    (longlong_t)start, (longlong_t)size);
    105 		return;
    106 	}
    107 
    108 	/* Make sure we don't overlap with either of our neighbors */
    109 	VERIFY(ss == NULL);
    110 
    111 	ss_before = avl_nearest(&sm->sm_root, where, AVL_BEFORE);
    112 	ss_after = avl_nearest(&sm->sm_root, where, AVL_AFTER);
    113 
    114 	merge_before = (ss_before != NULL && ss_before->ss_end == start);
    115 	merge_after = (ss_after != NULL && ss_after->ss_start == end);
    116 
    117 	if (merge_before && merge_after) {
    118 		avl_remove(&sm->sm_root, ss_before);
    119 		if (sm->sm_pp_root) {
    120 			avl_remove(sm->sm_pp_root, ss_before);
    121 			avl_remove(sm->sm_pp_root, ss_after);
    122 		}
    123 		ss_after->ss_start = ss_before->ss_start;
    124 		kmem_free(ss_before, sizeof (*ss_before));
    125 		ss = ss_after;
    126 	} else if (merge_before) {
    127 		ss_before->ss_end = end;
    128 		if (sm->sm_pp_root)
    129 			avl_remove(sm->sm_pp_root, ss_before);
    130 		ss = ss_before;
    131 	} else if (merge_after) {
    132 		ss_after->ss_start = start;
    133 		if (sm->sm_pp_root)
    134 			avl_remove(sm->sm_pp_root, ss_after);
    135 		ss = ss_after;
    136 	} else {
    137 		ss = kmem_alloc(sizeof (*ss), KM_SLEEP);
    138 		ss->ss_start = start;
    139 		ss->ss_end = end;
    140 		avl_insert(&sm->sm_root, ss, where);
    141 	}
    142 
    143 	if (sm->sm_pp_root)
    144 		avl_add(sm->sm_pp_root, ss);
    145 
    146 	sm->sm_space += size;
    147 }
    148 
    149 void
    150 space_map_remove(space_map_t *sm, uint64_t start, uint64_t size)
    151 {
    152 	avl_index_t where;
    153 	space_seg_t ssearch, *ss, *newseg;
    154 	uint64_t end = start + size;
    155 	int left_over, right_over;
    156 
    157 	ASSERT(MUTEX_HELD(sm->sm_lock));
    158 	VERIFY(size != 0);
    159 	VERIFY(P2PHASE(start, 1ULL << sm->sm_shift) == 0);
    160 	VERIFY(P2PHASE(size, 1ULL << sm->sm_shift) == 0);
    161 
    162 	ssearch.ss_start = start;
    163 	ssearch.ss_end = end;
    164 	ss = avl_find(&sm->sm_root, &ssearch, &where);
    165 
    166 	/* Make sure we completely overlap with someone */
    167 	if (ss == NULL) {
    168 		zfs_panic_recover("zfs: freeing free segment "
    169 		    "(offset=%llu size=%llu)",
    170 		    (longlong_t)start, (longlong_t)size);
    171 		return;
    172 	}
    173 	VERIFY3U(ss->ss_start, <=, start);
    174 	VERIFY3U(ss->ss_end, >=, end);
    175 	VERIFY(sm->sm_space - size <= sm->sm_size);
    176 
    177 	left_over = (ss->ss_start != start);
    178 	right_over = (ss->ss_end != end);
    179 
    180 	if (sm->sm_pp_root)
    181 		avl_remove(sm->sm_pp_root, ss);
    182 
    183 	if (left_over && right_over) {
    184 		newseg = kmem_alloc(sizeof (*newseg), KM_SLEEP);
    185 		newseg->ss_start = end;
    186 		newseg->ss_end = ss->ss_end;
    187 		ss->ss_end = start;
    188 		avl_insert_here(&sm->sm_root, newseg, ss, AVL_AFTER);
    189 		if (sm->sm_pp_root)
    190 			avl_add(sm->sm_pp_root, newseg);
    191 	} else if (left_over) {
    192 		ss->ss_end = start;
    193 	} else if (right_over) {
    194 		ss->ss_start = end;
    195 	} else {
    196 		avl_remove(&sm->sm_root, ss);
    197 		kmem_free(ss, sizeof (*ss));
    198 		ss = NULL;
    199 	}
    200 
    201 	if (sm->sm_pp_root && ss != NULL)
    202 		avl_add(sm->sm_pp_root, ss);
    203 
    204 	sm->sm_space -= size;
    205 }
    206 
    207 boolean_t
    208 space_map_contains(space_map_t *sm, uint64_t start, uint64_t size)
    209 {
    210 	avl_index_t where;
    211 	space_seg_t ssearch, *ss;
    212 	uint64_t end = start + size;
    213 
    214 	ASSERT(MUTEX_HELD(sm->sm_lock));
    215 	VERIFY(size != 0);
    216 	VERIFY(P2PHASE(start, 1ULL << sm->sm_shift) == 0);
    217 	VERIFY(P2PHASE(size, 1ULL << sm->sm_shift) == 0);
    218 
    219 	ssearch.ss_start = start;
    220 	ssearch.ss_end = end;
    221 	ss = avl_find(&sm->sm_root, &ssearch, &where);
    222 
    223 	return (ss != NULL && ss->ss_start <= start && ss->ss_end >= end);
    224 }
    225 
    226 void
    227 space_map_vacate(space_map_t *sm, space_map_func_t *func, space_map_t *mdest)
    228 {
    229 	space_seg_t *ss;
    230 	void *cookie = NULL;
    231 
    232 	ASSERT(MUTEX_HELD(sm->sm_lock));
    233 
    234 	while ((ss = avl_destroy_nodes(&sm->sm_root, &cookie)) != NULL) {
    235 		if (func != NULL)
    236 			func(mdest, ss->ss_start, ss->ss_end - ss->ss_start);
    237 		kmem_free(ss, sizeof (*ss));
    238 	}
    239 	sm->sm_space = 0;
    240 }
    241 
    242 void
    243 space_map_walk(space_map_t *sm, space_map_func_t *func, space_map_t *mdest)
    244 {
    245 	space_seg_t *ss;
    246 
    247 	ASSERT(MUTEX_HELD(sm->sm_lock));
    248 
    249 	for (ss = avl_first(&sm->sm_root); ss; ss = AVL_NEXT(&sm->sm_root, ss))
    250 		func(mdest, ss->ss_start, ss->ss_end - ss->ss_start);
    251 }
    252 
    253 /*
    254  * Wait for any in-progress space_map_load() to complete.
    255  */
    256 void
    257 space_map_load_wait(space_map_t *sm)
    258 {
    259 	ASSERT(MUTEX_HELD(sm->sm_lock));
    260 
    261 	while (sm->sm_loading) {
    262 		ASSERT(!sm->sm_loaded);
    263 		cv_wait(&sm->sm_load_cv, sm->sm_lock);
    264 	}
    265 }
    266 
    267 /*
    268  * Note: space_map_load() will drop sm_lock across dmu_read() calls.
    269  * The caller must be OK with this.
    270  */
    271 int
    272 space_map_load(space_map_t *sm, space_map_ops_t *ops, uint8_t maptype,
    273 	space_map_obj_t *smo, objset_t *os)
    274 {
    275 	uint64_t *entry, *entry_map, *entry_map_end;
    276 	uint64_t bufsize, size, offset, end, space;
    277 	uint64_t mapstart = sm->sm_start;
    278 	int error = 0;
    279 
    280 	ASSERT(MUTEX_HELD(sm->sm_lock));
    281 	ASSERT(!sm->sm_loaded);
    282 	ASSERT(!sm->sm_loading);
    283 
    284 	sm->sm_loading = B_TRUE;
    285 	end = smo->smo_objsize;
    286 	space = smo->smo_alloc;
    287 
    288 	ASSERT(sm->sm_ops == NULL);
    289 	VERIFY3U(sm->sm_space, ==, 0);
    290 
    291 	if (maptype == SM_FREE) {
    292 		space_map_add(sm, sm->sm_start, sm->sm_size);
    293 		space = sm->sm_size - space;
    294 	}
    295 
    296 	bufsize = 1ULL << SPACE_MAP_BLOCKSHIFT;
    297 	entry_map = zio_buf_alloc(bufsize);
    298 
    299 	mutex_exit(sm->sm_lock);
    300 	if (end > bufsize)
    301 		dmu_prefetch(os, smo->smo_object, bufsize, end - bufsize);
    302 	mutex_enter(sm->sm_lock);
    303 
    304 	for (offset = 0; offset < end; offset += bufsize) {
    305 		size = MIN(end - offset, bufsize);
    306 		VERIFY(P2PHASE(size, sizeof (uint64_t)) == 0);
    307 		VERIFY(size != 0);
    308 
    309 		dprintf("object=%llu  offset=%llx  size=%llx\n",
    310 		    smo->smo_object, offset, size);
    311 
    312 		mutex_exit(sm->sm_lock);
    313 		error = dmu_read(os, smo->smo_object, offset, size, entry_map,
    314 		    DMU_READ_PREFETCH);
    315 		mutex_enter(sm->sm_lock);
    316 		if (error != 0)
    317 			break;
    318 
    319 		entry_map_end = entry_map + (size / sizeof (uint64_t));
    320 		for (entry = entry_map; entry < entry_map_end; entry++) {
    321 			uint64_t e = *entry;
    322 
    323 			if (SM_DEBUG_DECODE(e))		/* Skip debug entries */
    324 				continue;
    325 
    326 			(SM_TYPE_DECODE(e) == maptype ?
    327 			    space_map_add : space_map_remove)(sm,
    328 			    (SM_OFFSET_DECODE(e) << sm->sm_shift) + mapstart,
    329 			    SM_RUN_DECODE(e) << sm->sm_shift);
    330 		}
    331 	}
    332 
    333 	if (error == 0) {
    334 		VERIFY3U(sm->sm_space, ==, space);
    335 
    336 		sm->sm_loaded = B_TRUE;
    337 		sm->sm_ops = ops;
    338 		if (ops != NULL)
    339 			ops->smop_load(sm);
    340 	} else {
    341 		space_map_vacate(sm, NULL, NULL);
    342 	}
    343 
    344 	zio_buf_free(entry_map, bufsize);
    345 
    346 	sm->sm_loading = B_FALSE;
    347 
    348 	cv_broadcast(&sm->sm_load_cv);
    349 
    350 	return (error);
    351 }
    352 
    353 void
    354 space_map_unload(space_map_t *sm)
    355 {
    356 	ASSERT(MUTEX_HELD(sm->sm_lock));
    357 
    358 	if (sm->sm_loaded && sm->sm_ops != NULL)
    359 		sm->sm_ops->smop_unload(sm);
    360 
    361 	sm->sm_loaded = B_FALSE;
    362 	sm->sm_ops = NULL;
    363 
    364 	space_map_vacate(sm, NULL, NULL);
    365 }
    366 
    367 uint64_t
    368 space_map_maxsize(space_map_t *sm)
    369 {
    370 	if (sm->sm_loaded && sm->sm_ops != NULL)
    371 		return (sm->sm_ops->smop_max(sm));
    372 	else
    373 		return (-1ULL);
    374 }
    375 
    376 uint64_t
    377 space_map_alloc(space_map_t *sm, uint64_t size)
    378 {
    379 	uint64_t start;
    380 
    381 	start = sm->sm_ops->smop_alloc(sm, size);
    382 	if (start != -1ULL)
    383 		space_map_remove(sm, start, size);
    384 	return (start);
    385 }
    386 
    387 void
    388 space_map_claim(space_map_t *sm, uint64_t start, uint64_t size)
    389 {
    390 	sm->sm_ops->smop_claim(sm, start, size);
    391 	space_map_remove(sm, start, size);
    392 }
    393 
    394 void
    395 space_map_free(space_map_t *sm, uint64_t start, uint64_t size)
    396 {
    397 	space_map_add(sm, start, size);
    398 	sm->sm_ops->smop_free(sm, start, size);
    399 }
    400 
    401 /*
    402  * Note: space_map_sync() will drop sm_lock across dmu_write() calls.
    403  */
    404 void
    405 space_map_sync(space_map_t *sm, uint8_t maptype,
    406 	space_map_obj_t *smo, objset_t *os, dmu_tx_t *tx)
    407 {
    408 	spa_t *spa = dmu_objset_spa(os);
    409 	void *cookie = NULL;
    410 	space_seg_t *ss;
    411 	uint64_t bufsize, start, size, run_len;
    412 	uint64_t *entry, *entry_map, *entry_map_end;
    413 
    414 	ASSERT(MUTEX_HELD(sm->sm_lock));
    415 
    416 	if (sm->sm_space == 0)
    417 		return;
    418 
    419 	dprintf("object %4llu, txg %llu, pass %d, %c, count %lu, space %llx\n",
    420 	    smo->smo_object, dmu_tx_get_txg(tx), spa_sync_pass(spa),
    421 	    maptype == SM_ALLOC ? 'A' : 'F', avl_numnodes(&sm->sm_root),
    422 	    sm->sm_space);
    423 
    424 	if (maptype == SM_ALLOC)
    425 		smo->smo_alloc += sm->sm_space;
    426 	else
    427 		smo->smo_alloc -= sm->sm_space;
    428 
    429 	bufsize = (8 + avl_numnodes(&sm->sm_root)) * sizeof (uint64_t);
    430 	bufsize = MIN(bufsize, 1ULL << SPACE_MAP_BLOCKSHIFT);
    431 	entry_map = zio_buf_alloc(bufsize);
    432 	entry_map_end = entry_map + (bufsize / sizeof (uint64_t));
    433 	entry = entry_map;
    434 
    435 	*entry++ = SM_DEBUG_ENCODE(1) |
    436 	    SM_DEBUG_ACTION_ENCODE(maptype) |
    437 	    SM_DEBUG_SYNCPASS_ENCODE(spa_sync_pass(spa)) |
    438 	    SM_DEBUG_TXG_ENCODE(dmu_tx_get_txg(tx));
    439 
    440 	while ((ss = avl_destroy_nodes(&sm->sm_root, &cookie)) != NULL) {
    441 		size = ss->ss_end - ss->ss_start;
    442 		start = (ss->ss_start - sm->sm_start) >> sm->sm_shift;
    443 
    444 		sm->sm_space -= size;
    445 		size >>= sm->sm_shift;
    446 
    447 		while (size) {
    448 			run_len = MIN(size, SM_RUN_MAX);
    449 
    450 			if (entry == entry_map_end) {
    451 				mutex_exit(sm->sm_lock);
    452 				dmu_write(os, smo->smo_object, smo->smo_objsize,
    453 				    bufsize, entry_map, tx);
    454 				mutex_enter(sm->sm_lock);
    455 				smo->smo_objsize += bufsize;
    456 				entry = entry_map;
    457 			}
    458 
    459 			*entry++ = SM_OFFSET_ENCODE(start) |
    460 			    SM_TYPE_ENCODE(maptype) |
    461 			    SM_RUN_ENCODE(run_len);
    462 
    463 			start += run_len;
    464 			size -= run_len;
    465 		}
    466 		kmem_free(ss, sizeof (*ss));
    467 	}
    468 
    469 	if (entry != entry_map) {
    470 		size = (entry - entry_map) * sizeof (uint64_t);
    471 		mutex_exit(sm->sm_lock);
    472 		dmu_write(os, smo->smo_object, smo->smo_objsize,
    473 		    size, entry_map, tx);
    474 		mutex_enter(sm->sm_lock);
    475 		smo->smo_objsize += size;
    476 	}
    477 
    478 	zio_buf_free(entry_map, bufsize);
    479 
    480 	VERIFY3U(sm->sm_space, ==, 0);
    481 }
    482 
    483 void
    484 space_map_truncate(space_map_obj_t *smo, objset_t *os, dmu_tx_t *tx)
    485 {
    486 	VERIFY(dmu_free_range(os, smo->smo_object, 0, -1ULL, tx) == 0);
    487 
    488 	smo->smo_objsize = 0;
    489 	smo->smo_alloc = 0;
    490 }
    491 
    492 /*
    493  * Space map reference trees.
    494  *
    495  * A space map is a collection of integers.  Every integer is either
    496  * in the map, or it's not.  A space map reference tree generalizes
    497  * the idea: it allows its members to have arbitrary reference counts,
    498  * as opposed to the implicit reference count of 0 or 1 in a space map.
    499  * This representation comes in handy when computing the union or
    500  * intersection of multiple space maps.  For example, the union of
    501  * N space maps is the subset of the reference tree with refcnt >= 1.
    502  * The intersection of N space maps is the subset with refcnt >= N.
    503  *
    504  * [It's very much like a Fourier transform.  Unions and intersections
    505  * are hard to perform in the 'space map domain', so we convert the maps
    506  * into the 'reference count domain', where it's trivial, then invert.]
    507  *
    508  * vdev_dtl_reassess() uses computations of this form to determine
    509  * DTL_MISSING and DTL_OUTAGE for interior vdevs -- e.g. a RAID-Z vdev
    510  * has an outage wherever refcnt >= vdev_nparity + 1, and a mirror vdev
    511  * has an outage wherever refcnt >= vdev_children.
    512  */
    513 static int
    514 space_map_ref_compare(const void *x1, const void *x2)
    515 {
    516 	const space_ref_t *sr1 = x1;
    517 	const space_ref_t *sr2 = x2;
    518 
    519 	if (sr1->sr_offset < sr2->sr_offset)
    520 		return (-1);
    521 	if (sr1->sr_offset > sr2->sr_offset)
    522 		return (1);
    523 
    524 	if (sr1 < sr2)
    525 		return (-1);
    526 	if (sr1 > sr2)
    527 		return (1);
    528 
    529 	return (0);
    530 }
    531 
    532 void
    533 space_map_ref_create(avl_tree_t *t)
    534 {
    535 	avl_create(t, space_map_ref_compare,
    536 	    sizeof (space_ref_t), offsetof(space_ref_t, sr_node));
    537 }
    538 
    539 void
    540 space_map_ref_destroy(avl_tree_t *t)
    541 {
    542 	space_ref_t *sr;
    543 	void *cookie = NULL;
    544 
    545 	while ((sr = avl_destroy_nodes(t, &cookie)) != NULL)
    546 		kmem_free(sr, sizeof (*sr));
    547 
    548 	avl_destroy(t);
    549 }
    550 
    551 static void
    552 space_map_ref_add_node(avl_tree_t *t, uint64_t offset, int64_t refcnt)
    553 {
    554 	space_ref_t *sr;
    555 
    556 	sr = kmem_alloc(sizeof (*sr), KM_SLEEP);
    557 	sr->sr_offset = offset;
    558 	sr->sr_refcnt = refcnt;
    559 
    560 	avl_add(t, sr);
    561 }
    562 
    563 void
    564 space_map_ref_add_seg(avl_tree_t *t, uint64_t start, uint64_t end,
    565 	int64_t refcnt)
    566 {
    567 	space_map_ref_add_node(t, start, refcnt);
    568 	space_map_ref_add_node(t, end, -refcnt);
    569 }
    570 
    571 /*
    572  * Convert (or add) a space map into a reference tree.
    573  */
    574 void
    575 space_map_ref_add_map(avl_tree_t *t, space_map_t *sm, int64_t refcnt)
    576 {
    577 	space_seg_t *ss;
    578 
    579 	ASSERT(MUTEX_HELD(sm->sm_lock));
    580 
    581 	for (ss = avl_first(&sm->sm_root); ss; ss = AVL_NEXT(&sm->sm_root, ss))
    582 		space_map_ref_add_seg(t, ss->ss_start, ss->ss_end, refcnt);
    583 }
    584 
    585 /*
    586  * Convert a reference tree into a space map.  The space map will contain
    587  * all members of the reference tree for which refcnt >= minref.
    588  */
    589 void
    590 space_map_ref_generate_map(avl_tree_t *t, space_map_t *sm, int64_t minref)
    591 {
    592 	uint64_t start = -1ULL;
    593 	int64_t refcnt = 0;
    594 	space_ref_t *sr;
    595 
    596 	ASSERT(MUTEX_HELD(sm->sm_lock));
    597 
    598 	space_map_vacate(sm, NULL, NULL);
    599 
    600 	for (sr = avl_first(t); sr != NULL; sr = AVL_NEXT(t, sr)) {
    601 		refcnt += sr->sr_refcnt;
    602 		if (refcnt >= minref) {
    603 			if (start == -1ULL) {
    604 				start = sr->sr_offset;
    605 			}
    606 		} else {
    607 			if (start != -1ULL) {
    608 				uint64_t end = sr->sr_offset;
    609 				ASSERT(start <= end);
    610 				if (end > start)
    611 					space_map_add(sm, start, end - start);
    612 				start = -1ULL;
    613 			}
    614 		}
    615 	}
    616 	ASSERT(refcnt == 0);
    617 	ASSERT(start == -1ULL);
    618 }
    619