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-Concerning Git's Packing Heuristics
-===================================
-
-        Oh, here's a really stupid question:
-
-                  Where do I go
-               to learn the details
-	    of Git's packing heuristics?
-
-Be careful what you ask!
-
-Followers of the Git, please open the Git IRC Log and turn to
-February 10, 2006.
-
-It's a rare occasion, and we are joined by the King Git Himself,
-Linus Torvalds (linus).  Nathaniel Smith, (njs`), has the floor
-and seeks enlightenment.  Others are present, but silent.
-
-Let's listen in!
-
-    <njs`> Oh, here's a really stupid question -- where do I go to
-	learn the details of Git's packing heuristics?  google avails
-        me not, reading the source didn't help a lot, and wading
-        through the whole mailing list seems less efficient than any
-        of that.
-
-It is a bold start!  A plea for help combined with a simultaneous
-tri-part attack on some of the tried and true mainstays in the quest
-for enlightenment.  Brash accusations of google being useless. Hubris!
-Maligning the source.  Heresy!  Disdain for the mailing list archives.
-Woe.
-
-    <pasky> yes, the packing-related delta stuff is somewhat
-        mysterious even for me ;)
-
-Ah!  Modesty after all.
-
-    <linus> njs, I don't think the docs exist. That's something where
-	 I don't think anybody else than me even really got involved.
-	 Most of the rest of Git others have been busy with (especially
-	 Junio), but packing nobody touched after I did it.
-
-It's cryptic, yet vague.  Linus in style for sure.  Wise men
-interpret this as an apology.  A few argue it is merely a
-statement of fact.
-
-    <njs`> I guess the next step is "read the source again", but I
-        have to build up a certain level of gumption first :-)
-
-Indeed!  On both points.
-
-    <linus> The packing heuristic is actually really really simple.
-
-Bait...
-
-    <linus> But strange.
-
-And switch.  That ought to do it!
-
-    <linus> Remember: Git really doesn't follow files. So what it does is
-        - generate a list of all objects
-        - sort the list according to magic heuristics
-        - walk the list, using a sliding window, seeing if an object
-          can be diffed against another object in the window
-        - write out the list in recency order
-
-The traditional understatement:
-
-    <njs`> I suspect that what I'm missing is the precise definition of
-        the word "magic"
-
-The traditional insight:
-
-    <pasky> yes
-
-And Babel-like confusion flowed.
-
-    <njs`> oh, hmm, and I'm not sure what this sliding window means either
-
-    <pasky> iirc, it appeared to me to be just the sha1 of the object
-        when reading the code casually ...
-
-        ... which simply doesn't sound as a very good heuristics, though ;)
-
-    <njs`> .....and recency order.  okay, I think it's clear I didn't
-       even realize how much I wasn't realizing :-)
-
-Ah, grasshopper!  And thus the enlightenment begins anew.
-
-    <linus> The "magic" is actually in theory totally arbitrary.
-        ANY order will give you a working pack, but no, it's not
-	ordered by SHA-1.
-
-        Before talking about the ordering for the sliding delta
-        window, let's talk about the recency order. That's more
-        important in one way.
-
-    <njs`> Right, but if all you want is a working way to pack things
-        together, you could just use cat and save yourself some
-        trouble...
-
-Waaait for it....
-
-    <linus> The recency ordering (which is basically: put objects
-        _physically_ into the pack in the order that they are
-        "reachable" from the head) is important.
-
-    <njs`> okay
-
-    <linus> It's important because that's the thing that gives packs
-        good locality. It keeps the objects close to the head (whether
-        they are old or new, but they are _reachable_ from the head)
-        at the head of the pack. So packs actually have absolutely
-        _wonderful_ IO patterns.
-
-Read that again, because it is important.
-
-    <linus> But recency ordering is totally useless for deciding how
-        to actually generate the deltas, so the delta ordering is
-        something else.
-
-        The delta ordering is (wait for it):
-        - first sort by the "basename" of the object, as defined by
-          the name the object was _first_ reached through when
-          generating the object list
-        - within the same basename, sort by size of the object
-        - but always sort different types separately (commits first).
-
-        That's not exactly it, but it's very close.
-
-    <njs`> The "_first_ reached" thing is not too important, just you
-        need some way to break ties since the same objects may be
-        reachable many ways, yes?
-
-And as if to clarify:
-
-    <linus> The point is that it's all really just any random
-        heuristic, and the ordering is totally unimportant for
-        correctness, but it helps a lot if the heuristic gives
-        "clumping" for things that are likely to delta well against
-        each other.
-
-It is an important point, so secretly, I did my own research and have
-included my results below.  To be fair, it has changed some over time.
-And through the magic of Revisionistic History, I draw upon this entry
-from The Git IRC Logs on my father's birthday, March 1:
-
-    <gitster> The quote from the above linus should be rewritten a
-        bit (wait for it):
-        - first sort by type.  Different objects never delta with
-	  each other.
-        - then sort by filename/dirname.  hash of the basename
-          occupies the top BITS_PER_INT-DIR_BITS bits, and bottom
-          DIR_BITS are for the hash of leading path elements.
-        - then if we are doing "thin" pack, the objects we are _not_
-          going to pack but we know about are sorted earlier than
-          other objects.
-        - and finally sort by size, larger to smaller.
-
-In one swell-foop, clarification and obscurification!  Nonetheless,
-authoritative.  Cryptic, yet concise.  It even solicits notions of
-quotes from The Source Code.  Clearly, more study is needed.
-
-    <gitster> That's the sort order.  What this means is:
-        - we do not delta different object types.
-	- we prefer to delta the objects with the same full path, but
-          allow files with the same name from different directories.
-	- we always prefer to delta against objects we are not going
-          to send, if there are some.
-	- we prefer to delta against larger objects, so that we have
-          lots of removals.
-
-        The penultimate rule is for "thin" packs.  It is used when
-        the other side is known to have such objects.
-
-There it is again. "Thin" packs.  I'm thinking to myself, "What
-is a 'thin' pack?"  So I ask:
-
-    <jdl> What is a "thin" pack?
-
-    <gitster> Use of --objects-edge to rev-list as the upstream of
-        pack-objects.  The pack transfer protocol negotiates that.
-
-Woo hoo!  Cleared that _right_ up!
-
-    <gitster> There are two directions - push and fetch.
-
-There!  Did you see it?  It is not '"push" and "pull"'!  How often the
-confusion has started here.  So casually mentioned, too!
-
-    <gitster> For push, git-send-pack invokes git-receive-pack on the
-        other end.  The receive-pack says "I have up to these commits".
-        send-pack looks at them, and computes what are missing from
-        the other end.  So "thin" could be the default there.
-
-        In the other direction, fetch, git-fetch-pack and
-        git-clone-pack invokes git-upload-pack on the other end
-	(via ssh or by talking to the daemon).
-
-	There are two cases: fetch-pack with -k and clone-pack is one,
-        fetch-pack without -k is the other.  clone-pack and fetch-pack
-        with -k will keep the downloaded packfile without expanded, so
-        we do not use thin pack transfer.  Otherwise, the generated
-        pack will have delta without base object in the same pack.
-
-        But fetch-pack without -k will explode the received pack into
-        individual objects, so we automatically ask upload-pack to
-        give us a thin pack if upload-pack supports it.
-
-OK then.
-
-Uh.
-
-Let's return to the previous conversation still in progress.
-
-    <njs`> and "basename" means something like "the tail of end of
-        path of file objects and dir objects, as per basename(3), and
-        we just declare all commit and tag objects to have the same
-        basename" or something?
-
-Luckily, that too is a point that gitster clarified for us!
-
-If I might add, the trick is to make files that _might_ be similar be
-located close to each other in the hash buckets based on their file
-names.  It used to be that "foo/Makefile", "bar/baz/quux/Makefile" and
-"Makefile" all landed in the same bucket due to their common basename,
-"Makefile". However, now they land in "close" buckets.
-
-The algorithm allows not just for the _same_ bucket, but for _close_
-buckets to be considered delta candidates.  The rationale is
-essentially that files, like Makefiles, often have very similar
-content no matter what directory they live in.
-
-    <linus> I played around with different delta algorithms, and with
-        making the "delta window" bigger, but having too big of a
-        sliding window makes it very expensive to generate the pack:
-        you need to compare every object with a _ton_ of other objects.
-
-        There are a number of other trivial heuristics too, which
-        basically boil down to "don't bother even trying to delta this
-        pair" if we can tell before-hand that the delta isn't worth it
-        (due to size differences, where we can take a previous delta
-        result into account to decide that "ok, no point in trying
-        that one, it will be worse").
-
-        End result: packing is actually very size efficient. It's
-        somewhat CPU-wasteful, but on the other hand, since you're
-        really only supposed to do it maybe once a month (and you can
-        do it during the night), nobody really seems to care.
-
-Nice Engineering Touch, there.  Find when it doesn't matter, and
-proclaim it a non-issue.  Good style too!
-
-    <njs`> So, just to repeat to see if I'm following, we start by
-        getting a list of the objects we want to pack, we sort it by
-        this heuristic (basically lexicographically on the tuple
-        (type, basename, size)).
-
-        Then we walk through this list, and calculate a delta of
-        each object against the last n (tunable parameter) objects,
-        and pick the smallest of these deltas.
-
-Vastly simplified, but the essence is there!
-
-    <linus> Correct.
-
-    <njs`> And then once we have picked a delta or fulltext to
-        represent each object, we re-sort by recency, and write them
-        out in that order.
-
-    <linus> Yup. Some other small details:
-
-And of course there is the "Other Shoe" Factor too.
-
-    <linus> - We limit the delta depth to another magic value (right
-        now both the window and delta depth magic values are just "10")
-
-    <njs`> Hrm, my intuition is that you'd end up with really _bad_ IO
-        patterns, because the things you want are near by, but to
-        actually reconstruct them you may have to jump all over in
-        random ways.
-
-    <linus> - When we write out a delta, and we haven't yet written
-        out the object it is a delta against, we write out the base
-        object first.  And no, when we reconstruct them, we actually
-        get nice IO patterns, because:
-        - larger objects tend to be "more recent" (Linus' law: files grow)
-        - we actively try to generate deltas from a larger object to a
-          smaller one
-        - this means that the top-of-tree very seldom has deltas
-          (i.e. deltas in _practice_ are "backwards deltas")
-
-Again, we should reread that whole paragraph.  Not just because
-Linus has slipped Linus's Law in there on us, but because it is
-important.  Let's make sure we clarify some of the points here:
-
-    <njs`> So the point is just that in practice, delta order and
-        recency order match each other quite well.
-
-    <linus> Yes. There's another nice side to this (and yes, it was
-	designed that way ;):
-        - the reason we generate deltas against the larger object is
-	  actually a big space saver too!
-
-    <njs`> Hmm, but your last comment (if "we haven't yet written out
-        the object it is a delta against, we write out the base object
-        first"), seems like it would make these facts mostly
-        irrelevant because even if in practice you would not have to
-        wander around much, in fact you just brute-force say that in
-        the cases where you might have to wander, don't do that :-)
-
-    <linus> Yes and no. Notice the rule: we only write out the base
-        object first if the delta against it was more recent.  That
-        means that you can actually have deltas that refer to a base
-        object that is _not_ close to the delta object, but that only
-        happens when the delta is needed to generate an _old_ object.
-
-    <linus> See?
-
-Yeah, no.  I missed that on the first two or three readings myself.
-
-    <linus> This keeps the front of the pack dense. The front of the
-        pack never contains data that isn't relevant to a "recent"
-        object.  The size optimization comes from our use of xdelta
-        (but is true for many other delta algorithms): removing data
-        is cheaper (in size) than adding data.
-
-        When you remove data, you only need to say "copy bytes n--m".
-	In contrast, in a delta that _adds_ data, you have to say "add
-        these bytes: 'actual data goes here'"
-
-    *** njs` has quit: Read error: 104 (Connection reset by peer)
-
-    <linus> Uhhuh. I hope I didn't blow njs` mind.
-
-    *** njs` has joined channel #git
-
-    <pasky> :)
-
-The silent observers are amused.  Of course.
-
-And as if njs` was expected to be omniscient:
-
-    <linus> njs - did you miss anything?
-
-OK, I'll spell it out.  That's Geek Humor.  If njs` was not actually
-connected for a little bit there, how would he know if missed anything
-while he was disconnected?  He's a benevolent dictator with a sense of
-humor!  Well noted!
-
-    <njs`> Stupid router.  Or gremlins, or whatever.
-
-It's a cheap shot at Cisco.  Take 'em when you can.
-
-    <njs`> Yes and no. Notice the rule: we only write out the base
-        object first if the delta against it was more recent.
-
-        I'm getting lost in all these orders, let me re-read :-)
-	So the write-out order is from most recent to least recent?
-        (Conceivably it could be the opposite way too, I'm not sure if
-        we've said) though my connection back at home is logging, so I
-        can just read what you said there :-)
-
-And for those of you paying attention, the Omniscient Trick has just
-been detailed!
-
-    <linus> Yes, we always write out most recent first
-
-    <njs`> And, yeah, I got the part about deeper-in-history stuff
-        having worse IO characteristics, one sort of doesn't care.
-
-    <linus> With the caveat that if the "most recent" needs an older
-        object to delta against (hey, shrinking sometimes does
-        happen), we write out the old object with the delta.
-
-    <njs`> (if only it happened more...)
-
-    <linus> Anyway, the pack-file could easily be denser still, but
-	because it's used both for streaming (the Git protocol) and
-        for on-disk, it has a few pessimizations.
-
-Actually, it is a made-up word. But it is a made-up word being
-used as setup for a later optimization, which is a real word:
-
-    <linus> In particular, while the pack-file is then compressed,
-        it's compressed just one object at a time, so the actual
-        compression factor is less than it could be in theory. But it
-        means that it's all nice random-access with a simple index to
-        do "object name->location in packfile" translation.
-
-    <njs`> I'm assuming the real win for delta-ing large->small is
-        more homogeneous statistics for gzip to run over?
-
-        (You have to put the bytes in one place or another, but
-        putting them in a larger blob wins on compression)
-
-        Actually, what is the compression strategy -- each delta
-        individually gzipped, the whole file gzipped, somewhere in
-        between, no compression at all, ....?
-
-        Right.
-
-Reality IRC sets in.  For example:
-
-    <pasky> I'll read the rest in the morning, I really have to go
-        sleep or there's no hope whatsoever for me at the today's
-        exam... g'nite all.
-
-Heh.
-
-    <linus> pasky: g'nite
-
-    <njs`> pasky: 'luck
-
-    <linus> Right: large->small matters exactly because of compression
-        behaviour. If it was non-compressed, it probably wouldn't make
-        any difference.
-
-    <njs`> yeah
-
-    <linus> Anyway: I'm not even trying to claim that the pack-files
-        are perfect, but they do tend to have a nice balance of
-        density vs ease-of use.
-
-Gasp!  OK, saved.  That's a fair Engineering trade off.  Close call!
-In fact, Linus reflects on some Basic Engineering Fundamentals,
-design options, etc.
-
-    <linus> More importantly, they allow Git to still _conceptually_
-        never deal with deltas at all, and be a "whole object" store.
-
-        Which has some problems (we discussed bad huge-file
-	behaviour on the Git lists the other day), but it does mean
-	that the basic Git concepts are really really simple and
-        straightforward.
-
-        It's all been quite stable.
-
-        Which I think is very much a result of having very simple
-        basic ideas, so that there's never any confusion about what's
-        going on.
-
-        Bugs happen, but they are "simple" bugs. And bugs that
-        actually get some object store detail wrong are almost always
-        so obvious that they never go anywhere.
-
-    <njs`> Yeah.
-
-Nuff said.
-
-    <linus> Anyway.  I'm off for bed. It's not 6AM here, but I've got
-	 three kids, and have to get up early in the morning to send
-	 them off. I need my beauty sleep.
-
-    <njs`> :-)
-
-    <njs`> appreciate the infodump, I really was failing to find the
-	details on Git packs :-)
-
-And now you know the rest of the story.