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1 Concerning Git's Packing Heuristics
2 ===================================
3
4 Oh, here's a really stupid question:
5
6 Where do I go
7 to learn the details
8 of git's packing heuristics?
9
10Be careful what you ask!
11
12Followers of the git, please open the git IRC Log and turn to
13February 10, 2006.
14
15It's a rare occasion, and we are joined by the King Git Himself,
16Linus Torvalds (linus). Nathaniel Smith, (njs`), has the floor
17and seeks enlightenment. Others are present, but silent.
18
19Let's listen in!
20
21 <njs`> Oh, here's a really stupid question -- where do I go to
22 learn the details of git's packing heuristics? google avails
23 me not, reading the source didn't help a lot, and wading
24 through the whole mailing list seems less efficient than any
25 of that.
26
27It is a bold start! A plea for help combined with a simultaneous
28tri-part attack on some of the tried and true mainstays in the quest
29for enlightenment. Brash accusations of google being useless. Hubris!
30Maligning the source. Heresy! Disdain for the mailing list archives.
31Woe.
32
33 <pasky> yes, the packing-related delta stuff is somewhat
34 mysterious even for me ;)
35
36Ah! Modesty after all.
37
38 <linus> njs, I don't think the docs exist. That's something where
39 I don't think anybody else than me even really got involved.
40 Most of the rest of git others have been busy with (especially
41 Junio), but packing nobody touched after I did it.
42
43It's cryptic, yet vague. Linus in style for sure. Wise men
44interpret this as an apology. A few argue it is merely a
45statement of fact.
46
47 <njs`> I guess the next step is "read the source again", but I
48 have to build up a certain level of gumption first :-)
49
50Indeed! On both points.
51
52 <linus> The packing heuristic is actually really really simple.
53
54Bait...
55
56 <linus> But strange.
57
58And switch. That ought to do it!
59
60 <linus> Remember: git really doesn't follow files. So what it does is
61 - generate a list of all objects
62 - sort the list according to magic heuristics
63 - walk the list, using a sliding window, seeing if an object
64 can be diffed against another object in the window
65 - write out the list in recency order
66
67The traditional understatement:
68
69 <njs`> I suspect that what I'm missing is the precise definition of
70 the word "magic"
71
72The traditional insight:
73
74 <pasky> yes
75
addf88e4 76And Babel-like confusion flowed.
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77
78 <njs`> oh, hmm, and I'm not sure what this sliding window means either
79
80 <pasky> iirc, it appeared to me to be just the sha1 of the object
81 when reading the code casually ...
82
83 ... which simply doesn't sound as a very good heuristics, though ;)
84
85 <njs`> .....and recency order. okay, I think it's clear I didn't
86 even realize how much I wasn't realizing :-)
87
88Ah, grasshopper! And thus the enlightenment begins anew.
89
90 <linus> The "magic" is actually in theory totally arbitrary.
91 ANY order will give you a working pack, but no, it's not
92 ordered by SHA1.
93
94 Before talking about the ordering for the sliding delta
95 window, let's talk about the recency order. That's more
96 important in one way.
97
98 <njs`> Right, but if all you want is a working way to pack things
99 together, you could just use cat and save yourself some
100 trouble...
101
102Waaait for it....
103
104 <linus> The recency ordering (which is basically: put objects
105 _physically_ into the pack in the order that they are
106 "reachable" from the head) is important.
107
108 <njs`> okay
109
110 <linus> It's important because that's the thing that gives packs
111 good locality. It keeps the objects close to the head (whether
112 they are old or new, but they are _reachable_ from the head)
113 at the head of the pack. So packs actually have absolutely
114 _wonderful_ IO patterns.
115
116Read that again, because it is important.
117
118 <linus> But recency ordering is totally useless for deciding how
119 to actually generate the deltas, so the delta ordering is
120 something else.
121
122 The delta ordering is (wait for it):
123 - first sort by the "basename" of the object, as defined by
124 the name the object was _first_ reached through when
125 generating the object list
126 - within the same basename, sort by size of the object
127 - but always sort different types separately (commits first).
128
129 That's not exactly it, but it's very close.
130
131 <njs`> The "_first_ reached" thing is not too important, just you
132 need some way to break ties since the same objects may be
133 reachable many ways, yes?
134
135And as if to clarify:
136
137 <linus> The point is that it's all really just any random
138 heuristic, and the ordering is totally unimportant for
139 correctness, but it helps a lot if the heuristic gives
140 "clumping" for things that are likely to delta well against
141 each other.
142
143It is an important point, so secretly, I did my own research and have
144included my results below. To be fair, it has changed some over time.
145And through the magic of Revisionistic History, I draw upon this entry
146from The Git IRC Logs on my father's birthday, March 1:
147
148 <gitster> The quote from the above linus should be rewritten a
149 bit (wait for it):
150 - first sort by type. Different objects never delta with
151 each other.
152 - then sort by filename/dirname. hash of the basename
153 occupies the top BITS_PER_INT-DIR_BITS bits, and bottom
154 DIR_BITS are for the hash of leading path elements.
155 - then if we are doing "thin" pack, the objects we are _not_
156 going to pack but we know about are sorted earlier than
157 other objects.
158 - and finally sort by size, larger to smaller.
159
160In one swell-foop, clarification and obscurification! Nonetheless,
161authoritative. Cryptic, yet concise. It even solicits notions of
162quotes from The Source Code. Clearly, more study is needed.
163
164 <gitster> That's the sort order. What this means is:
165 - we do not delta different object types.
166 - we prefer to delta the objects with the same full path, but
167 allow files with the same name from different directories.
168 - we always prefer to delta against objects we are not going
169 to send, if there are some.
170 - we prefer to delta against larger objects, so that we have
171 lots of removals.
172
173 The penultimate rule is for "thin" packs. It is used when
174 the other side is known to have such objects.
175
176There it is again. "Thin" packs. I'm thinking to myself, "What
177is a 'thin' pack?" So I ask:
178
179 <jdl> What is a "thin" pack?
180
181 <gitster> Use of --objects-edge to rev-list as the upstream of
182 pack-objects. The pack transfer protocol negotiates that.
183
184Woo hoo! Cleared that _right_ up!
185
186 <gitster> There are two directions - push and fetch.
187
188There! Did you see it? It is not '"push" and "pull"'! How often the
189confusion has started here. So casually mentioned, too!
190
191 <gitster> For push, git-send-pack invokes git-receive-pack on the
192 other end. The receive-pack says "I have up to these commits".
193 send-pack looks at them, and computes what are missing from
194 the other end. So "thin" could be the default there.
195
196 In the other direction, fetch, git-fetch-pack and
197 git-clone-pack invokes git-upload-pack on the other end
198 (via ssh or by talking to the daemon).
199
200 There are two cases: fetch-pack with -k and clone-pack is one,
201 fetch-pack without -k is the other. clone-pack and fetch-pack
202 with -k will keep the downloaded packfile without expanded, so
203 we do not use thin pack transfer. Otherwise, the generated
204 pack will have delta without base object in the same pack.
205
206 But fetch-pack without -k will explode the received pack into
207 individual objects, so we automatically ask upload-pack to
208 give us a thin pack if upload-pack supports it.
209
210OK then.
211
212Uh.
213
214Let's return to the previous conversation still in progress.
215
216 <njs`> and "basename" means something like "the tail of end of
217 path of file objects and dir objects, as per basename(3), and
218 we just declare all commit and tag objects to have the same
219 basename" or something?
220
221Luckily, that too is a point that gitster clarified for us!
222
223If I might add, the trick is to make files that _might_ be similar be
224located close to each other in the hash buckets based on their file
225names. It used to be that "foo/Makefile", "bar/baz/quux/Makefile" and
226"Makefile" all landed in the same bucket due to their common basename,
227"Makefile". However, now they land in "close" buckets.
228
229The algorithm allows not just for the _same_ bucket, but for _close_
230buckets to be considered delta candidates. The rationale is
231essentially that files, like Makefiles, often have very similar
232content no matter what directory they live in.
233
234 <linus> I played around with different delta algorithms, and with
235 making the "delta window" bigger, but having too big of a
236 sliding window makes it very expensive to generate the pack:
237 you need to compare every object with a _ton_ of other objects.
238
239 There are a number of other trivial heuristics too, which
240 basically boil down to "don't bother even trying to delta this
241 pair" if we can tell before-hand that the delta isn't worth it
242 (due to size differences, where we can take a previous delta
243 result into account to decide that "ok, no point in trying
244 that one, it will be worse").
245
246 End result: packing is actually very size efficient. It's
247 somewhat CPU-wasteful, but on the other hand, since you're
248 really only supposed to do it maybe once a month (and you can
249 do it during the night), nobody really seems to care.
250
251Nice Engineering Touch, there. Find when it doesn't matter, and
252proclaim it a non-issue. Good style too!
253
254 <njs`> So, just to repeat to see if I'm following, we start by
255 getting a list of the objects we want to pack, we sort it by
256 this heuristic (basically lexicographically on the tuple
257 (type, basename, size)).
258
259 Then we walk through this list, and calculate a delta of
addf88e4 260 each object against the last n (tunable parameter) objects,
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261 and pick the smallest of these deltas.
262
263Vastly simplified, but the essence is there!
264
265 <linus> Correct.
266
267 <njs`> And then once we have picked a delta or fulltext to
268 represent each object, we re-sort by recency, and write them
269 out in that order.
270
271 <linus> Yup. Some other small details:
272
273And of course there is the "Other Shoe" Factor too.
274
275 <linus> - We limit the delta depth to another magic value (right
276 now both the window and delta depth magic values are just "10")
277
278 <njs`> Hrm, my intuition is that you'd end up with really _bad_ IO
279 patterns, because the things you want are near by, but to
280 actually reconstruct them you may have to jump all over in
281 random ways.
282
283 <linus> - When we write out a delta, and we haven't yet written
284 out the object it is a delta against, we write out the base
285 object first. And no, when we reconstruct them, we actually
286 get nice IO patterns, because:
287 - larger objects tend to be "more recent" (Linus' law: files grow)
288 - we actively try to generate deltas from a larger object to a
289 smaller one
290 - this means that the top-of-tree very seldom has deltas
abda1ef5 291 (i.e. deltas in _practice_ are "backwards deltas")
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292
293Again, we should reread that whole paragraph. Not just because
294Linus has slipped Linus's Law in there on us, but because it is
295important. Let's make sure we clarify some of the points here:
296
297 <njs`> So the point is just that in practice, delta order and
298 recency order match each other quite well.
299
300 <linus> Yes. There's another nice side to this (and yes, it was
301 designed that way ;):
302 - the reason we generate deltas against the larger object is
303 actually a big space saver too!
304
305 <njs`> Hmm, but your last comment (if "we haven't yet written out
306 the object it is a delta against, we write out the base object
307 first"), seems like it would make these facts mostly
308 irrelevant because even if in practice you would not have to
309 wander around much, in fact you just brute-force say that in
310 the cases where you might have to wander, don't do that :-)
311
312 <linus> Yes and no. Notice the rule: we only write out the base
313 object first if the delta against it was more recent. That
314 means that you can actually have deltas that refer to a base
315 object that is _not_ close to the delta object, but that only
316 happens when the delta is needed to generate an _old_ object.
317
318 <linus> See?
319
320Yeah, no. I missed that on the first two or three readings myself.
321
322 <linus> This keeps the front of the pack dense. The front of the
323 pack never contains data that isn't relevant to a "recent"
324 object. The size optimization comes from our use of xdelta
325 (but is true for many other delta algorithms): removing data
326 is cheaper (in size) than adding data.
327
328 When you remove data, you only need to say "copy bytes n--m".
329 In contrast, in a delta that _adds_ data, you have to say "add
330 these bytes: 'actual data goes here'"
331
332 *** njs` has quit: Read error: 104 (Connection reset by peer)
333
334 <linus> Uhhuh. I hope I didn't blow njs` mind.
335
336 *** njs` has joined channel #git
337
338 <pasky> :)
339
340The silent observers are amused. Of course.
341
342And as if njs` was expected to be omniscient:
343
344 <linus> njs - did you miss anything?
345
346OK, I'll spell it out. That's Geek Humor. If njs` was not actually
347connected for a little bit there, how would he know if missed anything
348while he was disconnected? He's a benevolent dictator with a sense of
349humor! Well noted!
350
351 <njs`> Stupid router. Or gremlins, or whatever.
352
353It's a cheap shot at Cisco. Take 'em when you can.
354
355 <njs`> Yes and no. Notice the rule: we only write out the base
356 object first if the delta against it was more recent.
357
358 I'm getting lost in all these orders, let me re-read :-)
359 So the write-out order is from most recent to least recent?
360 (Conceivably it could be the opposite way too, I'm not sure if
361 we've said) though my connection back at home is logging, so I
362 can just read what you said there :-)
363
364And for those of you paying attention, the Omniscient Trick has just
365been detailed!
366
367 <linus> Yes, we always write out most recent first
368
369For the other record:
370
371 <pasky> njs`: http://pastebin.com/547965
372
373The 'net never forgets, so that should be good until the end of time.
374
375 <njs`> And, yeah, I got the part about deeper-in-history stuff
376 having worse IO characteristics, one sort of doesn't care.
377
378 <linus> With the caveat that if the "most recent" needs an older
379 object to delta against (hey, shrinking sometimes does
380 happen), we write out the old object with the delta.
381
382 <njs`> (if only it happened more...)
383
384 <linus> Anyway, the pack-file could easily be denser still, but
385 because it's used both for streaming (the git protocol) and
386 for on-disk, it has a few pessimizations.
387
388Actually, it is a made-up word. But it is a made-up word being
389used as setup for a later optimization, which is a real word:
390
391 <linus> In particular, while the pack-file is then compressed,
392 it's compressed just one object at a time, so the actual
393 compression factor is less than it could be in theory. But it
394 means that it's all nice random-access with a simple index to
395 do "object name->location in packfile" translation.
396
397 <njs`> I'm assuming the real win for delta-ing large->small is
addf88e4 398 more homogeneous statistics for gzip to run over?
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399
400 (You have to put the bytes in one place or another, but
401 putting them in a larger blob wins on compression)
402
403 Actually, what is the compression strategy -- each delta
404 individually gzipped, the whole file gzipped, somewhere in
405 between, no compression at all, ....?
406
407 Right.
408
409Reality IRC sets in. For example:
410
411 <pasky> I'll read the rest in the morning, I really have to go
412 sleep or there's no hope whatsoever for me at the today's
413 exam... g'nite all.
414
415Heh.
416
417 <linus> pasky: g'nite
418
419 <njs`> pasky: 'luck
420
421 <linus> Right: large->small matters exactly because of compression
422 behaviour. If it was non-compressed, it probably wouldn't make
423 any difference.
424
425 <njs`> yeah
426
427 <linus> Anyway: I'm not even trying to claim that the pack-files
428 are perfect, but they do tend to have a nice balance of
429 density vs ease-of use.
430
431Gasp! OK, saved. That's a fair Engineering trade off. Close call!
432In fact, Linus reflects on some Basic Engineering Fundamentals,
433design options, etc.
434
435 <linus> More importantly, they allow git to still _conceptually_
436 never deal with deltas at all, and be a "whole object" store.
437
438 Which has some problems (we discussed bad huge-file
439 behaviour on the git lists the other day), but it does mean
440 that the basic git concepts are really really simple and
441 straightforward.
442
443 It's all been quite stable.
444
445 Which I think is very much a result of having very simple
446 basic ideas, so that there's never any confusion about what's
447 going on.
448
449 Bugs happen, but they are "simple" bugs. And bugs that
450 actually get some object store detail wrong are almost always
addf88e4 451 so obvious that they never go anywhere.
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452
453 <njs`> Yeah.
454
455Nuff said.
456
457 <linus> Anyway. I'm off for bed. It's not 6AM here, but I've got
458 three kids, and have to get up early in the morning to send
459 them off. I need my beauty sleep.
460
461 <njs`> :-)
462
463 <njs`> appreciate the infodump, I really was failing to find the
464 details on git packs :-)
465
466And now you know the rest of the story.