summaryrefslogtreecommitdiff
path: root/storage/innobase/include/page0page.inl
blob: 861bf4a53df1b2cbfd710965296e2ecaba00839d (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
/*****************************************************************************

Copyright (c) 1994, 2019, Oracle and/or its affiliates. All Rights Reserved.
Copyright (c) 2016, 2021, MariaDB Corporation.

This program is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free Software
Foundation; version 2 of the License.

This program is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with
this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1335 USA

*****************************************************************************/

/**************************************************//**
@file include/page0page.ic
Index page routines

Created 2/2/1994 Heikki Tuuri
*******************************************************/

#ifndef page0page_ic
#define page0page_ic

#ifndef UNIV_INNOCHECKSUM
#include "rem0cmp.h"
#include "mtr0log.h"
#include "page0zip.h"

/*************************************************************//**
Sets the max trx id field value if trx_id is bigger than the previous
value. */
UNIV_INLINE
void
page_update_max_trx_id(
/*===================*/
	buf_block_t*	block,	/*!< in/out: page */
	page_zip_des_t*	page_zip,/*!< in/out: compressed page whose
				uncompressed part will be updated, or NULL */
	trx_id_t	trx_id,	/*!< in: transaction id */
	mtr_t*		mtr)	/*!< in/out: mini-transaction */
{
	ut_ad(block);
	ut_ad(mtr->memo_contains_flagged(block, MTR_MEMO_PAGE_X_FIX));
	ut_ad(trx_id);
	ut_ad(page_is_leaf(buf_block_get_frame(block)));

	if (page_get_max_trx_id(buf_block_get_frame(block)) < trx_id) {

		page_set_max_trx_id(block, page_zip, trx_id, mtr);
	}
}

/*************************************************************//**
Returns the RTREE SPLIT SEQUENCE NUMBER (FIL_RTREE_SPLIT_SEQ_NUM).
@return	SPLIT SEQUENCE NUMBER */
UNIV_INLINE
node_seq_t
page_get_ssn_id(
/*============*/
	const page_t*	page)	/*!< in: page */
{
	ut_ad(page);

	return(static_cast<node_seq_t>(
		mach_read_from_8(page + FIL_RTREE_SPLIT_SEQ_NUM)));
}

/*************************************************************//**
Sets the RTREE SPLIT SEQUENCE NUMBER field value */
UNIV_INLINE
void
page_set_ssn_id(
/*============*/
	buf_block_t*	block,	/*!< in/out: page */
	page_zip_des_t*	page_zip,/*!< in/out: compressed page whose
				uncompressed part will be updated, or NULL */
	node_seq_t	ssn_id,	/*!< in: transaction id */
	mtr_t*		mtr)	/*!< in/out: mini-transaction */
{
  ut_ad(mtr->memo_contains_flagged(block, MTR_MEMO_PAGE_SX_FIX |
                                   MTR_MEMO_PAGE_X_FIX));
  ut_ad(!page_zip || page_zip == &block->page.zip);
  constexpr uint16_t field= FIL_RTREE_SPLIT_SEQ_NUM;
  byte *b= my_assume_aligned<2>(&block->page.frame[field]);
  if (mtr->write<8,mtr_t::MAYBE_NOP>(*block, b, ssn_id) &&
      UNIV_LIKELY_NULL(page_zip))
    memcpy_aligned<2>(&page_zip->data[field], b, 8);
}

#endif /* !UNIV_INNOCHECKSUM */

#ifndef UNIV_INNOCHECKSUM
/*************************************************************//**
Returns the offset stored in the given header field.
@return offset from the start of the page, or 0 */
UNIV_INLINE
uint16_t
page_header_get_offs(
/*=================*/
	const page_t*	page,	/*!< in: page */
	ulint		field)	/*!< in: PAGE_FREE, ... */
{
	ut_ad((field == PAGE_FREE)
	      || (field == PAGE_LAST_INSERT)
	      || (field == PAGE_HEAP_TOP));

	uint16_t offs = page_header_get_field(page, field);

	ut_ad((field != PAGE_HEAP_TOP) || offs);

	return(offs);
}


/**
Reset PAGE_LAST_INSERT.
@param[in,out]  block    file page
@param[in,out]  mtr      mini-transaction */
inline void page_header_reset_last_insert(buf_block_t *block, mtr_t *mtr)
{
  constexpr uint16_t field= PAGE_HEADER + PAGE_LAST_INSERT;
  byte *b= my_assume_aligned<2>(&block->page.frame[field]);
  if (mtr->write<2,mtr_t::MAYBE_NOP>(*block, b, 0U) &&
      UNIV_LIKELY_NULL(block->page.zip.data))
    memset_aligned<2>(&block->page.zip.data[field], 0, 2);
}

/***************************************************************//**
Returns the heap number of a record.
@return heap number */
UNIV_INLINE
ulint
page_rec_get_heap_no(
/*=================*/
	const rec_t*	rec)	/*!< in: the physical record */
{
	if (page_rec_is_comp(rec)) {
		return(rec_get_heap_no_new(rec));
	} else {
		return(rec_get_heap_no_old(rec));
	}
}

/** Determine whether an index page record is a user record.
@param[in]	rec	record in an index page
@return true if a user record */
inline
bool
page_rec_is_user_rec(const rec_t* rec)
{
	ut_ad(page_rec_check(rec));
	return(page_rec_is_user_rec_low(page_offset(rec)));
}

/** Determine whether an index page record is the supremum record.
@param[in]	rec	record in an index page
@return true if the supremum record */
inline
bool
page_rec_is_supremum(const rec_t* rec)
{
	ut_ad(page_rec_check(rec));
	return(page_rec_is_supremum_low(page_offset(rec)));
}

/** Determine whether an index page record is the infimum record.
@param[in]	rec	record in an index page
@return true if the infimum record */
inline
bool
page_rec_is_infimum(const rec_t* rec)
{
	ut_ad(page_rec_check(rec));
	return(page_rec_is_infimum_low(page_offset(rec)));
}

/************************************************************//**
true if the record is the first user record on a page.
@return true if the first user record */
UNIV_INLINE
bool
page_rec_is_first(
/*==============*/
	const rec_t*	rec,	/*!< in: record */
	const page_t*	page)	/*!< in: page */
{
	ut_ad(page_get_n_recs(page) > 0);

	return(page_rec_get_next_const(page_get_infimum_rec(page)) == rec);
}

/************************************************************//**
true if the record is the second user record on a page.
@return true if the second user record */
UNIV_INLINE
bool
page_rec_is_second(
/*===============*/
	const rec_t*	rec,	/*!< in: record */
	const page_t*	page)	/*!< in: page */
{
	ut_ad(page_get_n_recs(page) > 1);

	return(page_rec_get_next_const(
		page_rec_get_next_const(page_get_infimum_rec(page))) == rec);
}

/************************************************************//**
true if the record is the last user record on a page.
@return true if the last user record */
UNIV_INLINE
bool
page_rec_is_last(
/*=============*/
	const rec_t*	rec,	/*!< in: record */
	const page_t*	page)	/*!< in: page */
{
	ut_ad(page_get_n_recs(page) > 0);

	return(page_rec_get_next_const(rec) == page_get_supremum_rec(page));
}

/************************************************************//**
true if distance between the records (measured in number of times we have to
move to the next record) is at most the specified value */
UNIV_INLINE
bool
page_rec_distance_is_at_most(
/*=========================*/
	const rec_t*	left_rec,
	const rec_t*	right_rec,
	ulint		val)
{
	for (ulint i = 0; i <= val; i++) {
		if (left_rec == right_rec) {
			return (true);
		}
		left_rec = page_rec_get_next_const(left_rec);
	}
	return (false);
}

/************************************************************//**
true if the record is the second last user record on a page.
@return true if the second last user record */
UNIV_INLINE
bool
page_rec_is_second_last(
/*====================*/
	const rec_t*	rec,	/*!< in: record */
	const page_t*	page)	/*!< in: page */
{
	ut_ad(page_get_n_recs(page) > 1);
	ut_ad(!page_rec_is_last(rec, page));

	return(page_rec_get_next_const(
		page_rec_get_next_const(rec)) == page_get_supremum_rec(page));
}

/************************************************************//**
Returns the nth record of the record list.
This is the inverse function of page_rec_get_n_recs_before().
@return nth record */
UNIV_INLINE
rec_t*
page_rec_get_nth(
/*=============*/
	page_t*	page,	/*!< in: page */
	ulint	nth)	/*!< in: nth record */
{
	return((rec_t*) page_rec_get_nth_const(page, nth));
}

/************************************************************//**
Returns the middle record of the records on the page. If there is an
even number of records in the list, returns the first record of the
upper half-list.
@return middle record */
UNIV_INLINE
rec_t*
page_get_middle_rec(
/*================*/
	page_t*	page)	/*!< in: page */
{
	ulint	middle = (ulint(page_get_n_recs(page))
			  + PAGE_HEAP_NO_USER_LOW) / 2;

	return(page_rec_get_nth(page, middle));
}

#endif /* !UNIV_INNOCHECKSUM */

/*************************************************************//**
Gets the page number.
@return page number */
UNIV_INLINE
uint32_t
page_get_page_no(
/*=============*/
	const page_t*	page)	/*!< in: page */
{
  ut_ad(page == page_align((page_t*) page));
  return mach_read_from_4(my_assume_aligned<4>(page + FIL_PAGE_OFFSET));
}

#ifndef UNIV_INNOCHECKSUM
/*************************************************************//**
Gets the tablespace identifier.
@return space id */
UNIV_INLINE
uint32_t
page_get_space_id(
/*==============*/
	const page_t*	page)	/*!< in: page */
{
  ut_ad(page == page_align((page_t*) page));
  return mach_read_from_4(my_assume_aligned<2>
                          (page + FIL_PAGE_ARCH_LOG_NO_OR_SPACE_ID));
}

#endif /* !UNIV_INNOCHECKSUM */

/*************************************************************//**
Gets the number of user records on page (infimum and supremum records
are not user records).
@return number of user records */
UNIV_INLINE
uint16_t
page_get_n_recs(
/*============*/
	const page_t*	page)	/*!< in: index page */
{
	return(page_header_get_field(page, PAGE_N_RECS));
}

#ifndef UNIV_INNOCHECKSUM
/*************************************************************//**
Gets the number of dir slots in directory.
@return number of slots */
UNIV_INLINE
uint16_t
page_dir_get_n_slots(
/*=================*/
	const page_t*	page)	/*!< in: index page */
{
	return(page_header_get_field(page, PAGE_N_DIR_SLOTS));
}

/*************************************************************//**
Gets the number of records in the heap.
@return number of user records */
UNIV_INLINE
uint16_t
page_dir_get_n_heap(
/*================*/
	const page_t*	page)	/*!< in: index page */
{
	return(page_header_get_field(page, PAGE_N_HEAP) & 0x7fff);
}

/**************************************************************//**
Used to check the consistency of a record on a page.
@return TRUE if succeed */
UNIV_INLINE
ibool
page_rec_check(
/*===========*/
	const rec_t*	rec)	/*!< in: record */
{
	const page_t*	page = page_align(rec);

	ut_a(rec);

	ut_a(page_offset(rec) <= page_header_get_field(page, PAGE_HEAP_TOP));
	ut_a(page_offset(rec) >= PAGE_DATA);

	return(TRUE);
}

/***************************************************************//**
Gets the number of records owned by a directory slot.
@return number of records */
UNIV_INLINE
ulint
page_dir_slot_get_n_owned(
/*======================*/
	const page_dir_slot_t*	slot)	/*!< in: page directory slot */
{
	const rec_t*	rec	= page_dir_slot_get_rec(slot);
	if (page_rec_is_comp(slot)) {
		return(rec_get_n_owned_new(rec));
	} else {
		return(rec_get_n_owned_old(rec));
	}
}

/************************************************************//**
Calculates the space reserved for directory slots of a given number of
records. The exact value is a fraction number n * PAGE_DIR_SLOT_SIZE /
PAGE_DIR_SLOT_MIN_N_OWNED, and it is rounded upwards to an integer. */
UNIV_INLINE
ulint
page_dir_calc_reserved_space(
/*=========================*/
	ulint	n_recs)		/*!< in: number of records */
{
	return((PAGE_DIR_SLOT_SIZE * n_recs + PAGE_DIR_SLOT_MIN_N_OWNED - 1)
	       / PAGE_DIR_SLOT_MIN_N_OWNED);
}

/************************************************************//**
Gets the pointer to the next record on the page.
@return pointer to next record */
UNIV_INLINE
const rec_t*
page_rec_get_next_low(
/*==================*/
	const rec_t*	rec,	/*!< in: pointer to record */
	ulint		comp)	/*!< in: nonzero=compact page layout */
{
	ulint		offs;
	const page_t*	page;

	ut_ad(page_rec_check(rec));

	page = page_align(rec);

	offs = rec_get_next_offs(rec, comp);

	if (offs >= srv_page_size) {
		fprintf(stderr,
			"InnoDB: Next record offset is nonsensical %lu"
			" in record at offset %lu\n"
			"InnoDB: rec address %p, space id %lu, page %lu\n",
			(ulong) offs, (ulong) page_offset(rec),
			(void*) rec,
			(ulong) page_get_space_id(page),
			(ulong) page_get_page_no(page));
		ut_error;
	} else if (offs == 0) {

		return(NULL);
	}

	ut_ad(page_rec_is_infimum(rec)
	      || (!page_is_leaf(page) && !page_has_prev(page))
	      || !(rec_get_info_bits(page + offs, comp)
		   & REC_INFO_MIN_REC_FLAG));

	return(page + offs);
}

/************************************************************//**
Gets the pointer to the next record on the page.
@return pointer to next record */
UNIV_INLINE
rec_t*
page_rec_get_next(
/*==============*/
	rec_t*	rec)	/*!< in: pointer to record */
{
	return((rec_t*) page_rec_get_next_low(rec, page_rec_is_comp(rec)));
}

/************************************************************//**
Gets the pointer to the next record on the page.
@return pointer to next record */
UNIV_INLINE
const rec_t*
page_rec_get_next_const(
/*====================*/
	const rec_t*	rec)	/*!< in: pointer to record */
{
	return(page_rec_get_next_low(rec, page_rec_is_comp(rec)));
}

/************************************************************//**
Gets the pointer to the next non delete-marked record on the page.
If all subsequent records are delete-marked, then this function
will return the supremum record.
@return pointer to next non delete-marked record or pointer to supremum */
UNIV_INLINE
const rec_t*
page_rec_get_next_non_del_marked(
/*=============================*/
	const rec_t*	rec)	/*!< in: pointer to record */
{
	const rec_t*	r;
	ulint		page_is_compact = page_rec_is_comp(rec);

	for (r = page_rec_get_next_const(rec);
	     !page_rec_is_supremum(r)
	     && rec_get_deleted_flag(r, page_is_compact);
	     r = page_rec_get_next_const(r)) {
		/* noop */
	}

	return(r);
}

/************************************************************//**
Gets the pointer to the previous record.
@return pointer to previous record */
UNIV_INLINE
const rec_t*
page_rec_get_prev_const(
/*====================*/
	const rec_t*	rec)	/*!< in: pointer to record, must not be page
				infimum */
{
	const page_dir_slot_t*	slot;
	ulint			slot_no;
	const rec_t*		rec2;
	const rec_t*		prev_rec = NULL;
	const page_t*		page;

	ut_ad(page_rec_check(rec));

	page = page_align(rec);

	ut_ad(!page_rec_is_infimum(rec));

	slot_no = page_dir_find_owner_slot(rec);

	ut_a(slot_no != 0);

	slot = page_dir_get_nth_slot(page, slot_no - 1);

	rec2 = page_dir_slot_get_rec(slot);

	if (page_is_comp(page)) {
		while (rec != rec2) {
			prev_rec = rec2;
			rec2 = page_rec_get_next_low(rec2, TRUE);
		}
	} else {
		while (rec != rec2) {
			prev_rec = rec2;
			rec2 = page_rec_get_next_low(rec2, FALSE);
		}
	}

	ut_a(prev_rec);

	return(prev_rec);
}

/************************************************************//**
Gets the pointer to the previous record.
@return pointer to previous record */
UNIV_INLINE
rec_t*
page_rec_get_prev(
/*==============*/
	rec_t*	rec)	/*!< in: pointer to record, must not be page
			infimum */
{
	return((rec_t*) page_rec_get_prev_const(rec));
}

#endif /* UNIV_INNOCHECKSUM */

/************************************************************//**
Returns the sum of the sizes of the records in the record list, excluding
the infimum and supremum records.
@return data in bytes */
UNIV_INLINE
uint16_t
page_get_data_size(
/*===============*/
	const page_t*	page)	/*!< in: index page */
{
	unsigned ret = page_header_get_field(page, PAGE_HEAP_TOP)
		- (page_is_comp(page)
		   ? PAGE_NEW_SUPREMUM_END
		   : PAGE_OLD_SUPREMUM_END)
		- page_header_get_field(page, PAGE_GARBAGE);
	ut_ad(ret < srv_page_size);
	return static_cast<uint16_t>(ret);
}

#ifndef UNIV_INNOCHECKSUM
/*************************************************************//**
Calculates free space if a page is emptied.
@return free space */
UNIV_INLINE
ulint
page_get_free_space_of_empty(
/*=========================*/
	ulint	comp)		/*!< in: nonzero=compact page layout */
{
	if (comp) {
		return((ulint)(srv_page_size
			       - PAGE_NEW_SUPREMUM_END
			       - PAGE_DIR
			       - 2 * PAGE_DIR_SLOT_SIZE));
	}

	return((ulint)(srv_page_size
		       - PAGE_OLD_SUPREMUM_END
		       - PAGE_DIR
		       - 2 * PAGE_DIR_SLOT_SIZE));
}

/************************************************************//**
Each user record on a page, and also the deleted user records in the heap
takes its size plus the fraction of the dir cell size /
PAGE_DIR_SLOT_MIN_N_OWNED bytes for it. If the sum of these exceeds the
value of page_get_free_space_of_empty, the insert is impossible, otherwise
it is allowed. This function returns the maximum combined size of records
which can be inserted on top of the record heap.
@return maximum combined size for inserted records */
UNIV_INLINE
ulint
page_get_max_insert_size(
/*=====================*/
	const page_t*	page,	/*!< in: index page */
	ulint		n_recs)	/*!< in: number of records */
{
	ulint	occupied;
	ulint	free_space;

	if (page_is_comp(page)) {
		occupied = page_header_get_field(page, PAGE_HEAP_TOP)
			- PAGE_NEW_SUPREMUM_END
			+ page_dir_calc_reserved_space(
				n_recs + page_dir_get_n_heap(page) - 2);

		free_space = page_get_free_space_of_empty(TRUE);
	} else {
		occupied = page_header_get_field(page, PAGE_HEAP_TOP)
			- PAGE_OLD_SUPREMUM_END
			+ page_dir_calc_reserved_space(
				n_recs + page_dir_get_n_heap(page) - 2);

		free_space = page_get_free_space_of_empty(FALSE);
	}

	/* Above the 'n_recs +' part reserves directory space for the new
	inserted records; the '- 2' excludes page infimum and supremum
	records */

	if (occupied > free_space) {

		return(0);
	}

	return(free_space - occupied);
}

/************************************************************//**
Returns the maximum combined size of records which can be inserted on top
of the record heap if a page is first reorganized.
@return maximum combined size for inserted records */
UNIV_INLINE
ulint
page_get_max_insert_size_after_reorganize(
/*======================================*/
	const page_t*	page,	/*!< in: index page */
	ulint		n_recs)	/*!< in: number of records */
{
	ulint	occupied;
	ulint	free_space;

	occupied = page_get_data_size(page)
		+ page_dir_calc_reserved_space(n_recs + page_get_n_recs(page));

	free_space = page_get_free_space_of_empty(page_is_comp(page));

	if (occupied > free_space) {

		return(0);
	}

	return(free_space - occupied);
}

/** Read the PAGE_DIRECTION field from a byte.
@param[in]	ptr	pointer to PAGE_DIRECTION_B
@return	the value of the PAGE_DIRECTION field */
inline
byte
page_ptr_get_direction(const byte* ptr)
{
	ut_ad(page_offset(ptr) == PAGE_HEADER + PAGE_DIRECTION_B);
	return *ptr & ((1U << 3) - 1);
}

/** Read the PAGE_INSTANT field.
@param[in]	page	index page
@return the value of the PAGE_INSTANT field */
inline
uint16_t
page_get_instant(const page_t* page)
{
	uint16_t i = page_header_get_field(page, PAGE_INSTANT);
#ifdef UNIV_DEBUG
	switch (fil_page_get_type(page)) {
	case FIL_PAGE_TYPE_INSTANT:
		ut_ad(page_get_direction(page) <= PAGE_NO_DIRECTION);
		ut_ad(i >> 3);
		break;
	case FIL_PAGE_INDEX:
		ut_ad(i <= PAGE_NO_DIRECTION || !page_is_comp(page));
		break;
	case FIL_PAGE_RTREE:
		ut_ad(i <= PAGE_NO_DIRECTION);
		break;
	default:
		ut_ad("invalid page type" == 0);
		break;
	}
#endif /* UNIV_DEBUG */
	return static_cast<uint16_t>(i >> 3);  /* i / 8 */
}
#endif /* !UNIV_INNOCHECKSUM */

#endif