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90edef80 2 Copyright 2019 John Snow <jsnow@redhat.com> and Red Hat, Inc.
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3 All rights reserved.
4
5 This file is licensed via The FreeBSD Documentation License, the full
6 text of which is included at the end of this document.
7
8====================================
9Dirty Bitmaps and Incremental Backup
10====================================
11
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12Dirty Bitmaps are in-memory objects that track writes to block devices. They
13can be used in conjunction with various block job operations to perform
14incremental or differential backup regimens.
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16This document explains the conceptual mechanisms, as well as up-to-date,
17complete and comprehensive documentation on the API to manipulate them.
18(Hopefully, the "why", "what", and "how".)
19
20The intended audience for this document is developers who are adding QEMU
21backup features to management applications, or power users who run and
22administer QEMU directly via QMP.
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23
24.. contents::
25
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26Overview
27--------
28
29Bitmaps are bit vectors where each '1' bit in the vector indicates a modified
30("dirty") segment of the corresponding block device. The size of the segment
31that is tracked is the granularity of the bitmap. If the granularity of a
32bitmap is 64K, each '1' bit means that a 64K region as a whole may have
33changed in some way, possibly by as little as one byte.
34
35Smaller granularities mean more accurate tracking of modified disk data, but
36requires more computational overhead and larger bitmap sizes. Larger
37granularities mean smaller bitmap sizes, but less targeted backups.
38
39The size of a bitmap (in bytes) can be computed as such:
40 ``size`` = ceil(ceil(``image_size`` / ``granularity``) / 8)
41
42e.g. the size of a 64KiB granularity bitmap on a 2TiB image is:
43 ``size`` = ((2147483648K / 64K) / 8)
44 = 4194304B = 4MiB.
45
46QEMU uses these bitmaps when making incremental backups to know which sections
47of the file to copy out. They are not enabled by default and must be
48explicitly added in order to begin tracking writes.
49
50Bitmaps can be created at any time and can be attached to any arbitrary block
51node in the storage graph, but are most useful conceptually when attached to
52the root node attached to the guest's storage device model.
53
54That is to say: It's likely most useful to track the guest's writes to disk,
55but you could theoretically track things like qcow2 metadata changes by
56attaching the bitmap elsewhere in the storage graph. This is beyond the scope
57of this document.
58
59QEMU supports persisting these bitmaps to disk via the qcow2 image format.
60Bitmaps which are stored or loaded in this way are called "persistent",
61whereas bitmaps that are not are called "transient".
62
63QEMU also supports the migration of both transient bitmaps (tracking any
64arbitrary image format) or persistent bitmaps (qcow2) via live migration.
65
66Supported Image Formats
67-----------------------
68
69QEMU supports all documented features below on the qcow2 image format.
70
71However, qcow2 is only strictly necessary for the persistence feature, which
72writes bitmap data to disk upon close. If persistence is not required for a
73specific use case, all bitmap features excepting persistence are available for
74any arbitrary image format.
75
76For example, Dirty Bitmaps can be combined with the 'raw' image format, but
77any changes to the bitmap will be discarded upon exit.
78
79.. warning:: Transient bitmaps will not be saved on QEMU exit! Persistent
80 bitmaps are available only on qcow2 images.
81
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82Dirty Bitmap Names
83------------------
84
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85Bitmap objects need a method to reference them in the API. All API-created and
86managed bitmaps have a human-readable name chosen by the user at creation
87time.
7746cf8a 88
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89- A bitmap's name is unique to the node, but bitmaps attached to different
90 nodes can share the same name. Therefore, all bitmaps are addressed via
91 their (node, name) pair.
7746cf8a 92
90edef80 93- The name of a user-created bitmap cannot be empty ("").
7746cf8a 94
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95- Transient bitmaps can have JSON unicode names that are effectively not
96 length limited. (QMP protocol may restrict messages to less than 64MiB.)
97
98- Persistent storage formats may impose their own requirements on bitmap names
99 and namespaces. Presently, only qcow2 supports persistent bitmaps. See
100 docs/interop/qcow2.txt for more details on restrictions. Notably:
101
102 - qcow2 bitmap names are limited to between 1 and 1023 bytes long.
103
104 - No two bitmaps saved to the same qcow2 file may share the same name.
105
106- QEMU occasionally uses bitmaps for internal use which have no name. They are
107 hidden from API query calls, cannot be manipulated by the external API, are
108 never persistent, nor ever migrated.
109
110Bitmap Status
111-------------
112
113Dirty Bitmap objects can be queried with the QMP command `query-block
114<qemu-qmp-ref.html#index-query_002dblock>`_, and are visible via the
115`BlockDirtyInfo <qemu-qmp-ref.html#index-BlockDirtyInfo>`_ QAPI structure.
116
117This struct shows the name, granularity, and dirty byte count for each bitmap.
118Additionally, it shows several boolean status indicators:
119
120- ``recording``: This bitmap is recording writes.
121- ``busy``: This bitmap is in-use by an operation.
122- ``persistent``: This bitmap is a persistent type.
123- ``inconsistent``: This bitmap is corrupted and cannot be used.
124
125The ``+busy`` status prohibits you from deleting, clearing, or otherwise
126modifying a bitmap, and happens when the bitmap is being used for a backup
127operation or is in the process of being loaded from a migration. Many of the
128commands documented below will refuse to work on such bitmaps.
129
130The ``+inconsistent`` status similarly prohibits almost all operations,
131notably allowing only the ``block-dirty-bitmap-remove`` operation.
132
133There is also a deprecated ``status`` field of type `DirtyBitmapStatus
134<qemu-qmp-ref.html#index-DirtyBitmapStatus>`_. A bitmap historically had
135five visible states:
136
137 #. ``Frozen``: This bitmap is currently in-use by an operation and is
138 immutable. It can't be deleted, renamed, reset, etc.
139
140 (This is now ``+busy``.)
141
142 #. ``Disabled``: This bitmap is not recording new writes.
143
144 (This is now ``-recording -busy``.)
145
146 #. ``Active``: This bitmap is recording new writes.
147
148 (This is now ``+recording -busy``.)
7746cf8a 149
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150 #. ``Locked``: This bitmap is in-use by an operation, and is immutable.
151 The difference from "Frozen" was primarily implementation details.
7746cf8a 152
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153 (This is now ``+busy``.)
154
155 #. ``Inconsistent``: This persistent bitmap was not saved to disk
156 correctly, and can no longer be used. It remains in memory to serve as
157 an indicator of failure.
158
159 (This is now ``+inconsistent``.)
160
161These states are directly replaced by the status indicators and should not be
162used. The difference between ``Frozen`` and ``Locked`` is an implementation
163detail and should not be relevant to external users.
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164
165Basic QMP Usage
166---------------
167
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168The primary interface to manipulating bitmap objects is via the QMP
169interface. If you are not familiar, see docs/interop/qmp-intro.txt for a broad
170overview, and `qemu-qmp-ref <qemu-qmp-ref.html>`_ for a full reference of all
171QMP commands.
172
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173Supported Commands
174~~~~~~~~~~~~~~~~~~
175
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176There are six primary bitmap-management API commands:
177
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178- ``block-dirty-bitmap-add``
179- ``block-dirty-bitmap-remove``
180- ``block-dirty-bitmap-clear``
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181- ``block-dirty-bitmap-disable``
182- ``block-dirty-bitmap-enable``
183- ``block-dirty-bitmap-merge``
7746cf8a 184
90edef80 185And one related query command:
7746cf8a 186
90edef80 187- ``query-block``
7746cf8a 188
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189Creation: block-dirty-bitmap-add
190~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
7746cf8a 191
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192`block-dirty-bitmap-add
193<qemu-qmp-ref.html#index-block_002ddirty_002dbitmap_002dadd>`_:
7746cf8a 194
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195Creates a new bitmap that tracks writes to the specified node. granularity,
196persistence, and recording state can be adjusted at creation time.
7746cf8a 197
90edef80 198.. admonition:: Example
7746cf8a 199
90edef80 200 to create a new, actively recording persistent bitmap:
7746cf8a 201
90edef80 202 .. code:: json
7746cf8a 203
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204 -> { "execute": "block-dirty-bitmap-add",
205 "arguments": {
206 "node": "drive0",
207 "name": "bitmap0",
208 "persistent": true,
209 }
210 }
7746cf8a 211
90edef80 212 <- { "return": {} }
7746cf8a 213
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214- This bitmap will have a default granularity that matches the cluster size of
215 its associated drive, if available, clamped to between [4KiB, 64KiB]. The
216 current default for qcow2 is 64KiB.
7746cf8a 217
90edef80 218.. admonition:: Example
7746cf8a 219
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220 To create a new, disabled (``-recording``), transient bitmap that tracks
221 changes in 32KiB segments:
7746cf8a 222
90edef80 223 .. code:: json
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225 -> { "execute": "block-dirty-bitmap-add",
226 "arguments": {
227 "node": "drive0",
228 "name": "bitmap1",
229 "granularity": 32768,
230 "disabled": true
231 }
232 }
7746cf8a 233
90edef80 234 <- { "return": {} }
7746cf8a 235
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236Deletion: block-dirty-bitmap-remove
237~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
7746cf8a 238
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239`block-dirty-bitmap-remove
240<qemu-qmp-ref.html#index-block_002ddirty_002dbitmap_002dremove>`_:
241
242Deletes a bitmap. Bitmaps that are ``+busy`` cannot be removed.
243
244- Deleting a bitmap does not impact any other bitmaps attached to the same
245 node, nor does it affect any backups already created from this bitmap or
246 node.
247
248- Because bitmaps are only unique to the node to which they are attached, you
249 must specify the node/drive name here, too.
250
251- Deleting a persistent bitmap will remove it from the qcow2 file.
252
253.. admonition:: Example
254
255 Remove a bitmap named ``bitmap0`` from node ``drive0``:
256
257 .. code:: json
258
259 -> { "execute": "block-dirty-bitmap-remove",
260 "arguments": {
261 "node": "drive0",
262 "name": "bitmap0"
263 }
264 }
265
266 <- { "return": {} }
267
268Resetting: block-dirty-bitmap-clear
269~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
270
271`block-dirty-bitmap-clear
272<qemu-qmp-ref.html#index-block_002ddirty_002dbitmap_002dclear>`_:
273
274Clears all dirty bits from a bitmap. ``+busy`` bitmaps cannot be cleared.
275
276- An incremental backup created from an empty bitmap will copy no data, as if
277 nothing has changed.
278
279.. admonition:: Example
280
281 Clear all dirty bits from bitmap ``bitmap0`` on node ``drive0``:
282
283 .. code:: json
284
285 -> { "execute": "block-dirty-bitmap-clear",
286 "arguments": {
287 "node": "drive0",
288 "name": "bitmap0"
289 }
290 }
291
292 <- { "return": {} }
293
294Enabling: block-dirty-bitmap-enable
295~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
296
297`block-dirty-bitmap-enable
298<qemu-qmp-ref.html#index-block_002ddirty_002dbitmap_002denable>`_:
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300"Enables" a bitmap, setting the ``recording`` bit to true, causing writes to
301begin being recorded. ``+busy`` bitmaps cannot be enabled.
302
303- Bitmaps default to being enabled when created, unless configured otherwise.
304
305- Persistent enabled bitmaps will remember their ``+recording`` status on
306 load.
307
308.. admonition:: Example
309
310 To set ``+recording`` on bitmap ``bitmap0`` on node ``drive0``:
311
312 .. code:: json
313
314 -> { "execute": "block-dirty-bitmap-enable",
315 "arguments": {
316 "node": "drive0",
317 "name": "bitmap0"
318 }
319 }
320
321 <- { "return": {} }
322
323Enabling: block-dirty-bitmap-disable
324~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
325
326`block-dirty-bitmap-disable
327<qemu-qmp-ref.html#index-block_002ddirty_002dbitmap_002ddisable>`_:
328
329"Disables" a bitmap, setting the ``recording`` bit to false, causing further
330writes to begin being ignored. ``+busy`` bitmaps cannot be disabled.
331
332.. warning::
333
334 This is potentially dangerous: QEMU makes no effort to stop any writes if
335 there are disabled bitmaps on a node, and will not mark any disabled bitmaps
336 as ``+inconsistent`` if any such writes do happen. Backups made from such
337 bitmaps will not be able to be used to reconstruct a coherent image.
338
339- Disabling a bitmap may be useful for examining which sectors of a disk
340 changed during a specific time period, or for explicit management of
341 differential backup windows.
342
343- Persistent disabled bitmaps will remember their ``-recording`` status on
344 load.
345
346.. admonition:: Example
347
348 To set ``-recording`` on bitmap ``bitmap0`` on node ``drive0``:
349
350 .. code:: json
351
352 -> { "execute": "block-dirty-bitmap-disable",
353 "arguments": {
354 "node": "drive0",
355 "name": "bitmap0"
356 }
357 }
358
359 <- { "return": {} }
360
361Merging, Copying: block-dirty-bitmap-merge
362~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
363
364`block-dirty-bitmap-merge
365<qemu-qmp-ref.html#index-block_002ddirty_002dbitmap_002dmerge>`_:
366
367Merges one or more bitmaps into a target bitmap. For any segment that is dirty
368in any one source bitmap, the target bitmap will mark that segment dirty.
369
370- Merge takes one or more bitmaps as a source and merges them together into a
371 single destination, such that any segment marked as dirty in any source
372 bitmap(s) will be marked dirty in the destination bitmap.
373
374- Merge does not create the destination bitmap if it does not exist. A blank
375 bitmap can be created beforehand to achieve the same effect.
376
377- The destination is not cleared prior to merge, so subsequent merge
378 operations will continue to cumulatively mark more segments as dirty.
379
380- If the merge operation should fail, the destination bitmap is guaranteed to
381 be unmodified. The operation may fail if the source or destination bitmaps
382 are busy, or have different granularities.
383
384- Bitmaps can only be merged on the same node. There is only one "node"
385 argument, so all bitmaps must be attached to that same node.
386
387- Copy can be achieved by merging from a single source to an empty
388 destination.
389
390.. admonition:: Example
391
392 Merge the data from ``bitmap0`` into the bitmap ``new_bitmap`` on node
393 ``drive0``. If ``new_bitmap`` was empty prior to this command, this achieves
394 a copy.
395
396 .. code:: json
397
398 -> { "execute": "block-dirty-bitmap-merge",
399 "arguments": {
400 "node": "drive0",
401 "target": "new_bitmap",
575e6226 402 "bitmaps": [ "bitmap0" ]
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403 }
404 }
405
406 <- { "return": {} }
407
408Querying: query-block
409~~~~~~~~~~~~~~~~~~~~~
410
411`query-block
412<qemu-qmp-ref.html#index-query_002dblock>`_:
413
414Not strictly a bitmaps command, but will return information about any bitmaps
415attached to nodes serving as the root for guest devices.
416
417- The "inconsistent" bit will not appear when it is false, appearing only when
418 the value is true to indicate there is a problem.
419
420.. admonition:: Example
421
422 Query the block sub-system of QEMU. The following json has trimmed irrelevant
423 keys from the response to highlight only the bitmap-relevant portions of the
424 API. This result highlights a bitmap ``bitmap0`` attached to the root node of
425 device ``drive0``.
426
427 .. code:: json
428
429 -> {
430 "execute": "query-block",
431 "arguments": {}
432 }
433
434 <- {
435 "return": [ {
436 "dirty-bitmaps": [ {
437 "status": "active",
438 "count": 0,
439 "busy": false,
440 "name": "bitmap0",
441 "persistent": false,
442 "recording": true,
443 "granularity": 65536
444 } ],
445 "device": "drive0",
446 } ]
447 }
448
449Bitmap Persistence
450------------------
451
452As outlined in `Supported Image Formats`_, QEMU can persist bitmaps to qcow2
453files. Demonstrated in `Creation: block-dirty-bitmap-add`_, passing
454``persistent: true`` to ``block-dirty-bitmap-add`` will persist that bitmap to
455disk.
456
457Persistent bitmaps will be automatically loaded into memory upon load, and
458will be written back to disk upon close. Their usage should be mostly
459transparent.
460
461However, if QEMU does not get a chance to close the file cleanly, the bitmap
462will be marked as ``+inconsistent`` at next load and considered unsafe to use
463for any operation. At this point, the only valid operation on such bitmaps is
464``block-dirty-bitmap-remove``.
465
466Losing a bitmap in this way does not invalidate any existing backups that have
467been made from this bitmap, but no further backups will be able to be issued
468for this chain.
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469
470Transactions
471------------
472
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473Transactions are a QMP feature that allows you to submit multiple QMP commands
474at once, being guaranteed that they will all succeed or fail atomically,
475together. The interaction of bitmaps and transactions are demonstrated below.
476
477See `transaction <qemu-qmp.ref.html#index-transaction>`_ in the QMP reference
478for more details.
479
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480Justification
481~~~~~~~~~~~~~
482
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483Bitmaps can generally be modified at any time, but certain operations often
484only make sense when paired directly with other commands. When a VM is paused,
485it's easy to ensure that no guest writes occur between individual QMP
486commands. When a VM is running, this is difficult to accomplish with
487individual QMP commands that may allow guest writes to occur inbetween each
488command.
7746cf8a 489
90edef80 490For example, using only individual QMP commands, we could:
7746cf8a 491
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492#. Boot the VM in a paused state.
493#. Create a full drive backup of drive0.
494#. Create a new bitmap attached to drive0, confident that nothing has been
495 written to drive0 in the meantime.
496#. Resume execution of the VM.
497#. At a later point, issue incremental backups from ``bitmap0``.
7746cf8a 498
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499At this point, the bitmap and drive backup would be correctly in sync, and
500incremental backups made from this point forward would be correctly aligned to
501the full drive backup.
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503This is not particularly useful if we decide we want to start incremental
504backups after the VM has been running for a while, for which we would want to
505perform actions such as the following:
506
507#. Boot the VM and begin execution.
508#. Using a single transaction, perform the following operations:
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509
510 - Create ``bitmap0``.
511 - Create a full drive backup of ``drive0``.
512
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513#. At a later point, issue incremental backups from ``bitmap0``.
514
515.. note:: As a consideration, if ``bitmap0`` is created prior to the full
516 drive backup, incremental backups can still be authored from this
517 bitmap, but they will copy extra segments reflecting writes that
518 occurred prior to the backup operation. Transactions allow us to
519 narrow critical points in time to reduce waste, or, in the other
520 direction, to ensure that no segments are omitted.
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521
522Supported Bitmap Transactions
523~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
524
525- ``block-dirty-bitmap-add``
526- ``block-dirty-bitmap-clear``
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527- ``block-dirty-bitmap-enable``
528- ``block-dirty-bitmap-disable``
529- ``block-dirty-bitmap-merge``
7746cf8a 530
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531The usages for these commands are identical to their respective QMP commands,
532but see the sections below for concrete examples.
7746cf8a 533
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534Incremental Backups - Push Model
535--------------------------------
7746cf8a 536
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537Incremental backups are simply partial disk images that can be combined with
538other partial disk images on top of a base image to reconstruct a full backup
539from the point in time at which the incremental backup was issued.
7746cf8a 540
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541The "Push Model" here references the fact that QEMU is "pushing" the modified
542blocks out to a destination. We will be using the `drive-backup
543<qemu-qmp-ref.html#index-drive_002dbackup>`_ and `blockdev-backup
544<qemu-qmp-ref.html#index-blockdev_002dbackup>`_ QMP commands to create both
545full and incremental backups.
7746cf8a 546
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547Both of these commands are jobs, which have their own QMP API for querying and
548management documented in `Background jobs
549<qemu-qmp-ref.html#Background-jobs>`_.
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550
551Example: New Incremental Backup Anchor Point
552~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
553
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554As outlined in the Transactions - `Justification`_ section, perhaps we want to
555create a new incremental backup chain attached to a drive.
556
557This example creates a new, full backup of "drive0" and accompanies it with a
558new, empty bitmap that records writes from this point in time forward.
559
560.. note:: Any new writes that happen after this command is issued, even while
561 the backup job runs, will be written locally and not to the backup
562 destination. These writes will be recorded in the bitmap
563 accordingly.
564
565.. code:: json
566
567 -> {
568 "execute": "transaction",
569 "arguments": {
570 "actions": [
571 {
572 "type": "block-dirty-bitmap-add",
573 "data": {
574 "node": "drive0",
575 "name": "bitmap0"
576 }
577 },
578 {
579 "type": "drive-backup",
580 "data": {
581 "device": "drive0",
582 "target": "/path/to/drive0.full.qcow2",
583 "sync": "full",
584 "format": "qcow2"
585 }
586 }
587 ]
588 }
589 }
590
591 <- { "return": {} }
592
593 <- {
594 "timestamp": {
595 "seconds": 1555436945,
596 "microseconds": 179620
597 },
598 "data": {
599 "status": "created",
600 "id": "drive0"
601 },
602 "event": "JOB_STATUS_CHANGE"
603 }
604
605 ...
606
607 <- {
608 "timestamp": {...},
609 "data": {
610 "device": "drive0",
611 "type": "backup",
612 "speed": 0,
613 "len": 68719476736,
614 "offset": 68719476736
615 },
616 "event": "BLOCK_JOB_COMPLETED"
617 }
618
619 <- {
620 "timestamp": {...},
621 "data": {
622 "status": "concluded",
623 "id": "drive0"
624 },
625 "event": "JOB_STATUS_CHANGE"
626 }
627
628 <- {
629 "timestamp": {...},
630 "data": {
631 "status": "null",
632 "id": "drive0"
633 },
634 "event": "JOB_STATUS_CHANGE"
635 }
636
637A full explanation of the job transition semantics and the JOB_STATUS_CHANGE
638event are beyond the scope of this document and will be omitted in all
639subsequent examples; above, several more events have been omitted for brevity.
640
641.. note:: Subsequent examples will omit all events except BLOCK_JOB_COMPLETED
642 except where necessary to illustrate workflow differences.
643
644 Omitted events and json objects will be represented by ellipses:
645 ``...``
646
647Example: Resetting an Incremental Backup Anchor Point
648~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
649
650If we want to start a new backup chain with an existing bitmap, we can also
651use a transaction to reset the bitmap while making a new full backup:
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652
653.. code:: json
654
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655 -> {
656 "execute": "transaction",
657 "arguments": {
658 "actions": [
659 {
660 "type": "block-dirty-bitmap-clear",
661 "data": {
662 "node": "drive0",
663 "name": "bitmap0"
664 }
665 },
666 {
667 "type": "drive-backup",
668 "data": {
669 "device": "drive0",
670 "target": "/path/to/drive0.new_full.qcow2",
671 "sync": "full",
672 "format": "qcow2"
673 }
674 }
675 ]
676 }
677 }
678
679 <- { "return": {} }
680
681 ...
682
683 <- {
684 "timestamp": {...},
685 "data": {
686 "device": "drive0",
687 "type": "backup",
688 "speed": 0,
689 "len": 68719476736,
690 "offset": 68719476736
691 },
692 "event": "BLOCK_JOB_COMPLETED"
693 }
694
695 ...
696
697The result of this example is identical to the first, but we clear an existing
698bitmap instead of adding a new one.
699
700.. tip:: In both of these examples, "bitmap0" is tied conceptually to the
701 creation of new, full backups. This relationship is not saved or
702 remembered by QEMU; it is up to the operator or management layer to
703 remember which bitmaps are associated with which backups.
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704
705Example: First Incremental Backup
706~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
707
90edef80 708#. Create a full backup and sync it to a dirty bitmap using any method:
7746cf8a 709
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710 - Either of the two live backup method demonstrated above,
711 - Using QMP commands with the VM paused as in the `Justification`_ section,
712 or
713 - With the VM offline, manually copy the image and start the VM in a paused
714 state, careful to add a new bitmap before the VM begins execution.
7746cf8a 715
90edef80 716 Whichever method is chosen, let's assume that at the end of this step:
7746cf8a 717
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718 - The full backup is named ``drive0.full.qcow2``.
719 - The bitmap we created is named ``bitmap0``, attached to ``drive0``.
720
721#. Create a destination image for the incremental backup that utilizes the
722 full backup as a backing image.
723
724 - Let's assume the new incremental image is named ``drive0.inc0.qcow2``:
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725
726 .. code:: bash
727
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728 $ qemu-img create -f qcow2 drive0.inc0.qcow2 \
729 -b drive0.full.qcow2 -F qcow2
7746cf8a 730
90edef80 731#. Issue an incremental backup command:
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732
733 .. code:: json
734
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735 -> {
736 "execute": "drive-backup",
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737 "arguments": {
738 "device": "drive0",
739 "bitmap": "bitmap0",
90edef80 740 "target": "drive0.inc0.qcow2",
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741 "format": "qcow2",
742 "sync": "incremental",
743 "mode": "existing"
744 }
745 }
746
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747 <- { "return": {} }
748
749 ...
750
751 <- {
752 "timestamp": {...},
753 "data": {
754 "device": "drive0",
755 "type": "backup",
756 "speed": 0,
757 "len": 68719476736,
758 "offset": 68719476736
759 },
760 "event": "BLOCK_JOB_COMPLETED"
761 }
762
763 ...
764
765This copies any blocks modified since the full backup was created into the
766``drive0.inc0.qcow2`` file. During the operation, ``bitmap0`` is marked
767``+busy``. If the operation is successful, ``bitmap0`` will be cleared to
768reflect the "incremental" backup regimen, which only copies out new changes
769from each incremental backup.
770
771.. note:: Any new writes that occur after the backup operation starts do not
772 get copied to the destination. The backup's "point in time" is when
773 the backup starts, not when it ends. These writes are recorded in a
774 special bitmap that gets re-added to bitmap0 when the backup ends so
775 that the next incremental backup can copy them out.
776
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777Example: Second Incremental Backup
778~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
779
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780#. Create a new destination image for the incremental backup that points to
781 the previous one, e.g.: ``drive0.inc1.qcow2``
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782
783 .. code:: bash
784
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785 $ qemu-img create -f qcow2 drive0.inc1.qcow2 \
786 -b drive0.inc0.qcow2 -F qcow2
7746cf8a 787
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788#. Issue a new incremental backup command. The only difference here is that we
789 have changed the target image below.
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790
791 .. code:: json
792
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793 -> {
794 "execute": "drive-backup",
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795 "arguments": {
796 "device": "drive0",
797 "bitmap": "bitmap0",
90edef80 798 "target": "drive0.inc1.qcow2",
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799 "format": "qcow2",
800 "sync": "incremental",
801 "mode": "existing"
802 }
803 }
804
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805 <- { "return": {} }
806
807 ...
808
809 <- {
810 "timestamp": {...},
811 "data": {
812 "device": "drive0",
813 "type": "backup",
814 "speed": 0,
815 "len": 68719476736,
816 "offset": 68719476736
817 },
818 "event": "BLOCK_JOB_COMPLETED"
819 }
820
821 ...
822
823Because the first incremental backup from the previous example completed
824successfully, ``bitmap0`` was synchronized with ``drive0.inc0.qcow2``. Here,
825we use ``bitmap0`` again to create a new incremental backup that targets the
826previous one, creating a chain of three images:
827
828.. admonition:: Diagram
829
830 .. code:: text
831
832 +-------------------+ +-------------------+ +-------------------+
833 | drive0.full.qcow2 |<--| drive0.inc0.qcow2 |<--| drive0.inc1.qcow2 |
834 +-------------------+ +-------------------+ +-------------------+
835
836Each new incremental backup re-synchronizes the bitmap to the latest backup
837authored, allowing a user to continue to "consume" it to create new backups on
838top of an existing chain.
839
840In the above diagram, neither drive0.inc1.qcow2 nor drive0.inc0.qcow2 are
841complete images by themselves, but rely on their backing chain to reconstruct
842a full image. The dependency terminates with each full backup.
843
844Each backup in this chain remains independent, and is unchanged by new entries
845made later in the chain. For instance, drive0.inc0.qcow2 remains a perfectly
846valid backup of the disk as it was when that backup was issued.
847
848Example: Incremental Push Backups without Backing Files
849~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
850
851Backup images are best kept off-site, so we often will not have the preceding
852backups in a chain available to link against. This is not a problem at backup
853time; we simply do not set the backing image when creating the destination
854image:
855
856#. Create a new destination image with no backing file set. We will need to
857 specify the size of the base image, because the backing file isn't
858 available for QEMU to use to determine it.
859
860 .. code:: bash
861
862 $ qemu-img create -f qcow2 drive0.inc2.qcow2 64G
863
864 .. note:: Alternatively, you can omit ``mode: "existing"`` from the push
865 backup commands to have QEMU create an image without a backing
866 file for you, but you lose control over format options like
867 compatibility and preallocation presets.
868
869#. Issue a new incremental backup command. Apart from the new destination
870 image, there is no difference from the last two examples.
871
872 .. code:: json
873
874 -> {
875 "execute": "drive-backup",
876 "arguments": {
877 "device": "drive0",
878 "bitmap": "bitmap0",
879 "target": "drive0.inc2.qcow2",
880 "format": "qcow2",
881 "sync": "incremental",
882 "mode": "existing"
883 }
884 }
885
886 <- { "return": {} }
887
888 ...
889
890 <- {
891 "timestamp": {...},
892 "data": {
893 "device": "drive0",
894 "type": "backup",
895 "speed": 0,
896 "len": 68719476736,
897 "offset": 68719476736
898 },
899 "event": "BLOCK_JOB_COMPLETED"
900 }
901
902 ...
903
904The only difference from the perspective of the user is that you will need to
905set the backing image when attempting to restore the backup:
906
907.. code:: bash
908
909 $ qemu-img rebase drive0.inc2.qcow2 \
910 -u -b drive0.inc1.qcow2
911
912This uses the "unsafe" rebase mode to simply set the backing file to a file
913that isn't present.
914
915It is also possible to use ``--image-opts`` to specify the entire backing
916chain by hand as an ephemeral property at runtime, but that is beyond the
917scope of this document.
918
919Example: Multi-drive Incremental Backup
920~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
921
922Assume we have a VM with two drives, "drive0" and "drive1" and we wish to back
923both of them up such that the two backups represent the same crash-consistent
924point in time.
925
926#. For each drive, create an empty image:
927
928 .. code:: bash
929
930 $ qemu-img create -f qcow2 drive0.full.qcow2 64G
931 $ qemu-img create -f qcow2 drive1.full.qcow2 64G
932
933#. Create a full (anchor) backup for each drive, with accompanying bitmaps:
934
935 .. code:: json
936
937 -> {
938 "execute": "transaction",
939 "arguments": {
940 "actions": [
941 {
942 "type": "block-dirty-bitmap-add",
943 "data": {
944 "node": "drive0",
945 "name": "bitmap0"
946 }
947 },
948 {
949 "type": "block-dirty-bitmap-add",
950 "data": {
951 "node": "drive1",
952 "name": "bitmap0"
953 }
954 },
955 {
956 "type": "drive-backup",
957 "data": {
958 "device": "drive0",
959 "target": "/path/to/drive0.full.qcow2",
960 "sync": "full",
961 "format": "qcow2"
962 }
963 },
964 {
965 "type": "drive-backup",
966 "data": {
967 "device": "drive1",
968 "target": "/path/to/drive1.full.qcow2",
969 "sync": "full",
970 "format": "qcow2"
971 }
972 }
973 ]
974 }
975 }
976
977 <- { "return": {} }
978
979 ...
980
981 <- {
982 "timestamp": {...},
983 "data": {
984 "device": "drive0",
985 "type": "backup",
986 "speed": 0,
987 "len": 68719476736,
988 "offset": 68719476736
989 },
990 "event": "BLOCK_JOB_COMPLETED"
991 }
992
993 ...
994
995 <- {
996 "timestamp": {...},
997 "data": {
998 "device": "drive1",
999 "type": "backup",
1000 "speed": 0,
1001 "len": 68719476736,
1002 "offset": 68719476736
1003 },
1004 "event": "BLOCK_JOB_COMPLETED"
1005 }
1006
1007 ...
1008
1009#. Later, create new destination images for each of the incremental backups
1010 that point to their respective full backups:
1011
1012 .. code:: bash
1013
1014 $ qemu-img create -f qcow2 drive0.inc0.qcow2 \
1015 -b drive0.full.qcow2 -F qcow2
1016 $ qemu-img create -f qcow2 drive1.inc0.qcow2 \
1017 -b drive1.full.qcow2 -F qcow2
1018
1019#. Issue a multi-drive incremental push backup transaction:
1020
1021 .. code:: json
1022
1023 -> {
1024 "execute": "transaction",
1025 "arguments": {
1026 "actions": [
1027 {
1028 "type": "drive-backup",
1029 "data": {
1030 "device": "drive0",
1031 "bitmap": "bitmap0",
1032 "format": "qcow2",
1033 "mode": "existing",
1034 "sync": "incremental",
1035 "target": "drive0.inc0.qcow2"
1036 }
1037 },
1038 {
1039 "type": "drive-backup",
1040 "data": {
1041 "device": "drive1",
1042 "bitmap": "bitmap0",
1043 "format": "qcow2",
1044 "mode": "existing",
1045 "sync": "incremental",
1046 "target": "drive1.inc0.qcow2"
1047 }
1048 },
1049 ]
1050 }
1051 }
1052
1053 <- { "return": {} }
1054
1055 ...
1056
1057 <- {
1058 "timestamp": {...},
1059 "data": {
1060 "device": "drive0",
1061 "type": "backup",
1062 "speed": 0,
1063 "len": 68719476736,
1064 "offset": 68719476736
1065 },
1066 "event": "BLOCK_JOB_COMPLETED"
1067 }
1068
1069 ...
1070
1071 <- {
1072 "timestamp": {...},
1073 "data": {
1074 "device": "drive1",
1075 "type": "backup",
1076 "speed": 0,
1077 "len": 68719476736,
1078 "offset": 68719476736
1079 },
1080 "event": "BLOCK_JOB_COMPLETED"
1081 }
1082
1083 ...
7746cf8a 1084
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1085Push Backup Errors & Recovery
1086-----------------------------
7746cf8a 1087
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1088In the event of an error that occurs after a push backup job is successfully
1089launched, either by an individual QMP command or a QMP transaction, the user
1090will receive a ``BLOCK_JOB_COMPLETE`` event with a failure message,
1091accompanied by a ``BLOCK_JOB_ERROR`` event.
7746cf8a 1092
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1093In the case of a job being cancelled, the user will receive a
1094``BLOCK_JOB_CANCELLED`` event instead of a pair of COMPLETE and ERROR
1095events.
7746cf8a 1096
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1097In either failure case, the bitmap used for the failed operation is not
1098cleared. It will contain all of the dirty bits it did at the start of the
1099operation, plus any new bits that got marked during the operation.
7746cf8a 1100
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1101Effectively, the "point in time" that a bitmap is recording differences
1102against is kept at the issuance of the last successful incremental backup,
1103instead of being moved forward to the start of this now-failed backup.
7746cf8a 1104
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1105Once the underlying problem is addressed (e.g. more storage space is allocated
1106on the destination), the incremental backup command can be retried with the
1107same bitmap.
1108
1109Example: Individual Failures
1110~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1111
1112Incremental Push Backup jobs that fail individually behave simply as
1113described above. This example demonstrates the single-job failure case:
1114
1115#. Create a target image:
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1116
1117 .. code:: bash
1118
90edef80
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1119 $ qemu-img create -f qcow2 drive0.inc0.qcow2 \
1120 -b drive0.full.qcow2 -F qcow2
7746cf8a 1121
90edef80 1122#. Attempt to create an incremental backup via QMP:
7746cf8a
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1123
1124 .. code:: json
1125
90edef80
JS
1126 -> {
1127 "execute": "drive-backup",
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1128 "arguments": {
1129 "device": "drive0",
1130 "bitmap": "bitmap0",
90edef80 1131 "target": "drive0.inc0.qcow2",
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1132 "format": "qcow2",
1133 "sync": "incremental",
1134 "mode": "existing"
1135 }
1136 }
1137
90edef80
JS
1138 <- { "return": {} }
1139
1140#. Receive a pair of events indicating failure:
7746cf8a
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1141
1142 .. code:: json
1143
90edef80
JS
1144 <- {
1145 "timestamp": {...},
1146 "data": {
1147 "device": "drive0",
1148 "action": "report",
1149 "operation": "write"
1150 },
1151 "event": "BLOCK_JOB_ERROR"
1152 }
1153
1154 <- {
1155 "timestamp": {...},
1156 "data": {
1157 "speed": 0,
1158 "offset": 0,
1159 "len": 67108864,
1160 "error": "No space left on device",
1161 "device": "drive0",
1162 "type": "backup"
1163 },
1164 "event": "BLOCK_JOB_COMPLETED"
1165 }
7746cf8a 1166
90edef80 1167#. Delete the failed image, and re-create it.
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1168
1169 .. code:: bash
1170
90edef80
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1171 $ rm drive0.inc0.qcow2
1172 $ qemu-img create -f qcow2 drive0.inc0.qcow2 \
1173 -b drive0.full.qcow2 -F qcow2
7746cf8a 1174
90edef80 1175#. Retry the command after fixing the underlying problem, such as
7746cf8a
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1176 freeing up space on the backup volume:
1177
1178 .. code:: json
1179
90edef80
JS
1180 -> {
1181 "execute": "drive-backup",
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1182 "arguments": {
1183 "device": "drive0",
1184 "bitmap": "bitmap0",
90edef80 1185 "target": "drive0.inc0.qcow2",
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1186 "format": "qcow2",
1187 "sync": "incremental",
1188 "mode": "existing"
1189 }
1190 }
1191
90edef80
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1192 <- { "return": {} }
1193
1194#. Receive confirmation that the job completed successfully:
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1195
1196 .. code:: json
1197
90edef80
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1198 <- {
1199 "timestamp": {...},
1200 "data": {
1201 "device": "drive0",
1202 "type": "backup",
1203 "speed": 0,
1204 "len": 67108864,
1205 "offset": 67108864
1206 },
1207 "event": "BLOCK_JOB_COMPLETED"
1208 }
7746cf8a 1209
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1210Example: Partial Transactional Failures
1211~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
7746cf8a 1212
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1213QMP commands like `drive-backup <qemu-qmp-ref.html#index-drive_002dbackup>`_
1214conceptually only start a job, and so transactions containing these commands
1215may succeed even if the job it created later fails. This might have surprising
1216interactions with notions of how a "transaction" ought to behave.
7746cf8a 1217
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1218This distinction means that on occasion, a transaction containing such job
1219launching commands may appear to succeed and return success, but later
1220individual jobs associated with the transaction may fail. It is possible that
1221a management application may have to deal with a partial backup failure after
1222a "successful" transaction.
7746cf8a 1223
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1224If multiple backup jobs are specified in a single transaction, if one of those
1225jobs fails, it will not interact with the other backup jobs in any way by
1226default. The job(s) that succeeded will clear the dirty bitmap associated with
1227the operation, but the job(s) that failed will not. It is therefore not safe
1228to delete any incremental backups that were created successfully in this
1229scenario, even though others failed.
7746cf8a 1230
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1231This example illustrates a transaction with two backup jobs, where one fails
1232and one succeeds:
7746cf8a 1233
90edef80 1234#. Issue the transaction to start a backup of both drives.
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1235
1236 .. code:: json
1237
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1238 -> {
1239 "execute": "transaction",
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1240 "arguments": {
1241 "actions": [
90edef80
JS
1242 {
1243 "type": "drive-backup",
1244 "data": {
1245 "device": "drive0",
1246 "bitmap": "bitmap0",
1247 "format": "qcow2",
1248 "mode": "existing",
1249 "sync": "incremental",
1250 "target": "drive0.inc0.qcow2"
1251 }
1252 },
1253 {
1254 "type": "drive-backup",
1255 "data": {
1256 "device": "drive1",
1257 "bitmap": "bitmap0",
1258 "format": "qcow2",
1259 "mode": "existing",
1260 "sync": "incremental",
1261 "target": "drive1.inc0.qcow2"
1262 }
1263 }]
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1264 }
1265 }
1266
90edef80
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1267#. Receive notice that the Transaction was accepted, and jobs were
1268 launched:
7746cf8a 1269
90edef80 1270 .. code:: json
7746cf8a 1271
90edef80 1272 <- { "return": {} }
7746cf8a 1273
90edef80 1274#. Receive notice that the first job has completed:
7746cf8a 1275
90edef80 1276 .. code:: json
7746cf8a 1277
90edef80
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1278 <- {
1279 "timestamp": {...},
1280 "data": {
1281 "device": "drive0",
1282 "type": "backup",
1283 "speed": 0,
1284 "len": 67108864,
1285 "offset": 67108864
1286 },
1287 "event": "BLOCK_JOB_COMPLETED"
1288 }
7746cf8a 1289
90edef80 1290#. Receive notice that the second job has failed:
7746cf8a 1291
90edef80
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1292 .. code:: json
1293
1294 <- {
1295 "timestamp": {...},
1296 "data": {
1297 "device": "drive1",
1298 "action": "report",
1299 "operation": "read"
1300 },
1301 "event": "BLOCK_JOB_ERROR"
1302 }
1303
1304 ...
1305
1306 <- {
1307 "timestamp": {...},
1308 "data": {
1309 "speed": 0,
1310 "offset": 0,
1311 "len": 67108864,
1312 "error": "Input/output error",
1313 "device": "drive1",
1314 "type": "backup"
1315 },
1316 "event": "BLOCK_JOB_COMPLETED"
1317 }
7746cf8a 1318
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1319At the conclusion of the above example, ``drive0.inc0.qcow2`` is valid and
1320must be kept, but ``drive1.inc0.qcow2`` is incomplete and should be
1321deleted. If a VM-wide incremental backup of all drives at a point-in-time is
1322to be made, new backups for both drives will need to be made, taking into
1323account that a new incremental backup for drive0 needs to be based on top of
1324``drive0.inc0.qcow2``.
7746cf8a 1325
90edef80
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1326For this example, an incremental backup for ``drive0`` was created, but not
1327for ``drive1``. The last VM-wide crash-consistent backup that is available in
1328this case is the full backup:
7746cf8a 1329
90edef80 1330.. code:: text
7746cf8a 1331
90edef80
JS
1332 [drive0.full.qcow2] <-- [drive0.inc0.qcow2]
1333 [drive1.full.qcow2]
7746cf8a 1334
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JS
1335To repair this, issue a new incremental backup across both drives. The result
1336will be backup chains that resemble the following:
7746cf8a 1337
90edef80 1338.. code:: text
7746cf8a 1339
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1340 [drive0.full.qcow2] <-- [drive0.inc0.qcow2] <-- [drive0.inc1.qcow2]
1341 [drive1.full.qcow2] <-------------------------- [drive1.inc1.qcow2]
7746cf8a 1342
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1343Example: Grouped Completion Mode
1344~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
7746cf8a 1345
90edef80
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1346While jobs launched by transactions normally complete or fail individually,
1347it's possible to instruct them to complete or fail together as a group. QMP
1348transactions take an optional properties structure that can affect the
1349behavior of the transaction.
7746cf8a 1350
90edef80
JS
1351The ``completion-mode`` transaction property can be either ``individual``
1352which is the default legacy behavior described above, or ``grouped``, detailed
1353below.
7746cf8a 1354
90edef80
JS
1355In ``grouped`` completion mode, no jobs will report success until all jobs are
1356ready to report success. If any job fails, all other jobs will be cancelled.
7746cf8a 1357
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JS
1358Regardless of if a participating incremental backup job failed or was
1359cancelled, their associated bitmaps will all be held at their existing
1360points-in-time, as in individual failure cases.
7746cf8a 1361
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1362Here's the same multi-drive backup scenario from `Example: Partial
1363Transactional Failures`_, but with the ``grouped`` completion-mode property
1364applied:
7746cf8a 1365
90edef80 1366#. Issue the multi-drive incremental backup transaction:
7746cf8a
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1367
1368 .. code:: json
1369
90edef80
JS
1370 -> {
1371 "execute": "transaction",
7746cf8a 1372 "arguments": {
7746cf8a
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1373 "properties": {
1374 "completion-mode": "grouped"
90edef80
JS
1375 },
1376 "actions": [
1377 {
1378 "type": "drive-backup",
1379 "data": {
1380 "device": "drive0",
1381 "bitmap": "bitmap0",
1382 "format": "qcow2",
1383 "mode": "existing",
1384 "sync": "incremental",
1385 "target": "drive0.inc0.qcow2"
1386 }
1387 },
1388 {
1389 "type": "drive-backup",
1390 "data": {
1391 "device": "drive1",
1392 "bitmap": "bitmap0",
1393 "format": "qcow2",
1394 "mode": "existing",
1395 "sync": "incremental",
1396 "target": "drive1.inc0.qcow2"
1397 }
1398 }]
7746cf8a
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1399 }
1400 }
1401
90edef80 1402#. Receive notice that the Transaction was accepted, and jobs were launched:
7746cf8a 1403
90edef80
JS
1404 .. code:: json
1405
1406 <- { "return": {} }
7746cf8a 1407
90edef80 1408#. Receive notification that the backup job for ``drive1`` has failed:
7746cf8a 1409
90edef80 1410 .. code:: json
7746cf8a 1411
90edef80
JS
1412 <- {
1413 "timestamp": {...},
1414 "data": {
1415 "device": "drive1",
1416 "action": "report",
1417 "operation": "read"
1418 },
1419 "event": "BLOCK_JOB_ERROR"
1420 }
7746cf8a 1421
90edef80
JS
1422 <- {
1423 "timestamp": {...},
1424 "data": {
1425 "speed": 0,
1426 "offset": 0,
1427 "len": 67108864,
1428 "error": "Input/output error",
1429 "device": "drive1",
1430 "type": "backup"
1431 },
1432 "event": "BLOCK_JOB_COMPLETED"
1433 }
7746cf8a 1434
90edef80 1435#. Receive notification that the job for ``drive0`` has been cancelled:
7746cf8a 1436
90edef80 1437 .. code:: json
7746cf8a 1438
90edef80 1439 <- {
575e6226 1440 "timestamp": {...},
90edef80
JS
1441 "data": {
1442 "device": "drive0",
1443 "type": "backup",
1444 "speed": 0,
1445 "len": 67108864,
1446 "offset": 16777216
1447 },
1448 "event": "BLOCK_JOB_CANCELLED"
1449 }
7746cf8a 1450
90edef80
JS
1451At the conclusion of *this* example, both jobs have been aborted due to a
1452failure. Both destination images should be deleted and are no longer of use.
7746cf8a 1453
90edef80 1454The transaction as a whole can simply be re-issued at a later time.
7746cf8a
KC
1455
1456.. raw:: html
1457
1458 <!--
1459 The FreeBSD Documentation License
1460
90edef80
JS
1461 Redistribution and use in source (ReST) and 'compiled' forms (SGML, HTML,
1462 PDF, PostScript, RTF and so forth) with or without modification, are
1463 permitted provided that the following conditions are met:
1464
1465 Redistributions of source code (ReST) must retain the above copyright notice,
1466 this list of conditions and the following disclaimer of this file unmodified.
1467
1468 Redistributions in compiled form (transformed to other DTDs, converted to
1469 PDF, PostScript, RTF and other formats) must reproduce the above copyright
1470 notice, this list of conditions and the following disclaimer in the
1471 documentation and/or other materials provided with the distribution.
1472
1473 THIS DOCUMENTATION IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
1474 IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
1475 IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
1476 ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
1477 LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
1478 CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
1479 SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
1480 INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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1482 ARISING IN ANY WAY OUT OF THE USE OF THIS DOCUMENTATION, EVEN IF ADVISED OF
1483 THE POSSIBILITY OF SUCH DAMAGE.
7746cf8a 1484 -->