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1 Git Commit-Graph Design Notes
2 =============================
3
4 Git walks the commit graph for many reasons, including:
5
6 1. Listing and filtering commit history.
7 2. Computing merge bases.
8
9 These operations can become slow as the commit count grows. The merge
10 base calculation shows up in many user-facing commands, such as 'merge-base'
11 or 'status' and can take minutes to compute depending on history shape.
12
13 There are two main costs here:
14
15 1. Decompressing and parsing commits.
16 2. Walking the entire graph to satisfy topological order constraints.
17
18 The commit-graph file is a supplemental data structure that accelerates
19 commit graph walks. If a user downgrades or disables the 'core.commitGraph'
20 config setting, then the existing object database is sufficient. The file is stored
21 as "commit-graph" either in the .git/objects/info directory or in the info
22 directory of an alternate.
23
24 The commit-graph file stores the commit graph structure along with some
25 extra metadata to speed up graph walks. By listing commit OIDs in
26 lexicographic order, we can identify an integer position for each commit
27 and refer to the parents of a commit using those integer positions. We
28 use binary search to find initial commits and then use the integer
29 positions for fast lookups during the walk.
30
31 A consumer may load the following info for a commit from the graph:
32
33 1. The commit OID.
34 2. The list of parents, along with their integer position.
35 3. The commit date.
36 4. The root tree OID.
37 5. The generation number (see definition below).
38
39 Values 1-4 satisfy the requirements of parse_commit_gently().
40
41 There are two definitions of generation number:
42
43 1. Corrected committer dates (generation number v2)
44 2. Topological levels (generation number v1)
45
46 Define "corrected committer date" of a commit recursively as follows:
47
48 * A commit with no parents (a root commit) has corrected committer date
49 equal to its committer date.
50
51 * A commit with at least one parent has corrected committer date equal to
52 the maximum of its committer date and one more than the largest corrected
53 committer date among its parents.
54
55 * As a special case, a root commit with timestamp zero has corrected commit
56 date of 1, to be able to distinguish it from GENERATION_NUMBER_ZERO
57 (that is, an uncomputed corrected commit date).
58
59 Define the "topological level" of a commit recursively as follows:
60
61 * A commit with no parents (a root commit) has topological level of one.
62
63 * A commit with at least one parent has topological level one more than
64 the largest topological level among its parents.
65
66 Equivalently, the topological level of a commit A is one more than the
67 length of a longest path from A to a root commit. The recursive definition
68 is easier to use for computation and observing the following property:
69
70 If A and B are commits with generation numbers N and M, respectively,
71 and N <= M, then A cannot reach B. That is, we know without searching
72 that B is not an ancestor of A because it is further from a root commit
73 than A.
74
75 Conversely, when checking if A is an ancestor of B, then we only need
76 to walk commits until all commits on the walk boundary have generation
77 number at most N. If we walk commits using a priority queue seeded by
78 generation numbers, then we always expand the boundary commit with highest
79 generation number and can easily detect the stopping condition.
80
81 The property applies to both versions of generation number, that is both
82 corrected committer dates and topological levels.
83
84 This property can be used to significantly reduce the time it takes to
85 walk commits and determine topological relationships. Without generation
86 numbers, the general heuristic is the following:
87
88 If A and B are commits with commit time X and Y, respectively, and
89 X < Y, then A _probably_ cannot reach B.
90
91 In absence of corrected commit dates (for example, old versions of Git or
92 mixed generation graph chains),
93 this heuristic is currently used whenever the computation is allowed to
94 violate topological relationships due to clock skew (such as "git log"
95 with default order), but is not used when the topological order is
96 required (such as merge base calculations, "git log --graph").
97
98 In practice, we expect some commits to be created recently and not stored
99 in the commit-graph. We can treat these commits as having "infinite"
100 generation number and walk until reaching commits with known generation
101 number.
102
103 We use the macro GENERATION_NUMBER_INFINITY to mark commits not
104 in the commit-graph file. If a commit-graph file was written by a version
105 of Git that did not compute generation numbers, then those commits will
106 have generation number represented by the macro GENERATION_NUMBER_ZERO = 0.
107
108 Since the commit-graph file is closed under reachability, we can guarantee
109 the following weaker condition on all commits:
110
111 If A and B are commits with generation numbers N and M, respectively,
112 and N < M, then A cannot reach B.
113
114 Note how the strict inequality differs from the inequality when we have
115 fully-computed generation numbers. Using strict inequality may result in
116 walking a few extra commits, but the simplicity in dealing with commits
117 with generation number *_INFINITY or *_ZERO is valuable.
118
119 We use the macro GENERATION_NUMBER_V1_MAX = 0x3FFFFFFF for commits whose
120 topological levels (generation number v1) are computed to be at least
121 this value. We limit at this value since it is the largest value that
122 can be stored in the commit-graph file using the 30 bits available
123 to topological levels. This presents another case where a commit can
124 have generation number equal to that of a parent.
125
126 Design Details
127 --------------
128
129 - The commit-graph file is stored in a file named 'commit-graph' in the
130 .git/objects/info directory. This could be stored in the info directory
131 of an alternate.
132
133 - The core.commitGraph config setting must be on to consume graph files.
134
135 - The file format includes parameters for the object ID hash function,
136 so a future change of hash algorithm does not require a change in format.
137
138 - Commit grafts and replace objects can change the shape of the commit
139 history. The latter can also be enabled/disabled on the fly using
140 `--no-replace-objects`. This leads to difficulty storing both possible
141 interpretations of a commit id, especially when computing generation
142 numbers. The commit-graph will not be read or written when
143 replace-objects or grafts are present.
144
145 - Shallow clones create grafts of commits by dropping their parents. This
146 leads the commit-graph to think those commits have generation number 1.
147 If and when those commits are made unshallow, those generation numbers
148 become invalid. Since shallow clones are intended to restrict the commit
149 history to a very small set of commits, the commit-graph feature is less
150 helpful for these clones, anyway. The commit-graph will not be read or
151 written when shallow commits are present.
152
153 Commit-Graphs Chains
154 --------------------
155
156 Typically, repos grow with near-constant velocity (commits per day). Over time,
157 the number of commits added by a fetch operation is much smaller than the
158 number of commits in the full history. By creating a "chain" of commit-graphs,
159 we enable fast writes of new commit data without rewriting the entire commit
160 history -- at least, most of the time.
161
162 File Layout
163 ~~~~~~~~~~~
164
165 A commit-graph chain uses multiple files, and we use a fixed naming convention
166 to organize these files. Each commit-graph file has a name
167 `$OBJDIR/info/commit-graphs/graph-{hash}.graph` where `{hash}` is the hex-
168 valued hash stored in the footer of that file (which is a hash of the file's
169 contents before that hash). For a chain of commit-graph files, a plain-text
170 file at `$OBJDIR/info/commit-graphs/commit-graph-chain` contains the
171 hashes for the files in order from "lowest" to "highest".
172
173 For example, if the `commit-graph-chain` file contains the lines
174
175 ----
176 {hash0}
177 {hash1}
178 {hash2}
179 ----
180
181 then the commit-graph chain looks like the following diagram:
182
183 +-----------------------+
184 | graph-{hash2}.graph |
185 +-----------------------+
186 |
187 +-----------------------+
188 | |
189 | graph-{hash1}.graph |
190 | |
191 +-----------------------+
192 |
193 +-----------------------+
194 | |
195 | |
196 | |
197 | graph-{hash0}.graph |
198 | |
199 | |
200 | |
201 +-----------------------+
202
203 Let X0 be the number of commits in `graph-{hash0}.graph`, X1 be the number of
204 commits in `graph-{hash1}.graph`, and X2 be the number of commits in
205 `graph-{hash2}.graph`. If a commit appears in position i in `graph-{hash2}.graph`,
206 then we interpret this as being the commit in position (X0 + X1 + i), and that
207 will be used as its "graph position". The commits in `graph-{hash2}.graph` use these
208 positions to refer to their parents, which may be in `graph-{hash1}.graph` or
209 `graph-{hash0}.graph`. We can navigate to an arbitrary commit in position j by checking
210 its containment in the intervals [0, X0), [X0, X0 + X1), [X0 + X1, X0 + X1 +
211 X2).
212
213 Each commit-graph file (except the base, `graph-{hash0}.graph`) contains data
214 specifying the hashes of all files in the lower layers. In the above example,
215 `graph-{hash1}.graph` contains `{hash0}` while `graph-{hash2}.graph` contains
216 `{hash0}` and `{hash1}`.
217
218 Merging commit-graph files
219 ~~~~~~~~~~~~~~~~~~~~~~~~~~
220
221 If we only added a new commit-graph file on every write, we would run into a
222 linear search problem through many commit-graph files. Instead, we use a merge
223 strategy to decide when the stack should collapse some number of levels.
224
225 The diagram below shows such a collapse. As a set of new commits are added, it
226 is determined by the merge strategy that the files should collapse to
227 `graph-{hash1}`. Thus, the new commits, the commits in `graph-{hash2}` and
228 the commits in `graph-{hash1}` should be combined into a new `graph-{hash3}`
229 file.
230
231 ....
232 +---------------------+
233 | |
234 | (new commits) |
235 | |
236 +---------------------+
237 | |
238 +-----------------------+ +---------------------+
239 | graph-{hash2} |->| |
240 +-----------------------+ +---------------------+
241 | | |
242 +-----------------------+ +---------------------+
243 | | | |
244 | graph-{hash1} |->| |
245 | | | |
246 +-----------------------+ +---------------------+
247 | tmp_graphXXX
248 +-----------------------+
249 | |
250 | |
251 | |
252 | graph-{hash0} |
253 | |
254 | |
255 | |
256 +-----------------------+
257 ....
258
259 During this process, the commits to write are combined, sorted and we write the
260 contents to a temporary file, all while holding a `commit-graph-chain.lock`
261 lock-file. When the file is flushed, we rename it to `graph-{hash3}`
262 according to the computed `{hash3}`. Finally, we write the new chain data to
263 `commit-graph-chain.lock`:
264
265 ----
266 {hash3}
267 {hash0}
268 ----
269
270 We then close the lock-file.
271
272 Merge Strategy
273 ~~~~~~~~~~~~~~
274
275 When writing a set of commits that do not exist in the commit-graph stack of
276 height N, we default to creating a new file at level N + 1. We then decide to
277 merge with the Nth level if one of two conditions hold:
278
279 1. `--size-multiple=<X>` is specified or X = 2, and the number of commits in
280 level N is less than X times the number of commits in level N + 1.
281
282 2. `--max-commits=<C>` is specified with non-zero C and the number of commits
283 in level N + 1 is more than C commits.
284
285 This decision cascades down the levels: when we merge a level we create a new
286 set of commits that then compares to the next level.
287
288 The first condition bounds the number of levels to be logarithmic in the total
289 number of commits. The second condition bounds the total number of commits in
290 a `graph-{hashN}` file and not in the `commit-graph` file, preventing
291 significant performance issues when the stack merges and another process only
292 partially reads the previous stack.
293
294 The merge strategy values (2 for the size multiple, 64,000 for the maximum
295 number of commits) could be extracted into config settings for full
296 flexibility.
297
298 Handling Mixed Generation Number Chains
299 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
300
301 With the introduction of generation number v2 and generation data chunk, the
302 following scenario is possible:
303
304 1. "New" Git writes a commit-graph with the corrected commit dates.
305 2. "Old" Git writes a split commit-graph on top without corrected commit dates.
306
307 A naive approach of using the newest available generation number from
308 each layer would lead to violated expectations: the lower layer would
309 use corrected commit dates which are much larger than the topological
310 levels of the higher layer. For this reason, Git inspects the topmost
311 layer to see if the layer is missing corrected commit dates. In such a case
312 Git only uses topological level for generation numbers.
313
314 When writing a new layer in split commit-graph, we write corrected commit
315 dates if the topmost layer has corrected commit dates written. This
316 guarantees that if a layer has corrected commit dates, all lower layers
317 must have corrected commit dates as well.
318
319 When merging layers, we do not consider whether the merged layers had corrected
320 commit dates. Instead, the new layer will have corrected commit dates if the
321 layer below the new layer has corrected commit dates.
322
323 While writing or merging layers, if the new layer is the only layer, it will
324 have corrected commit dates when written by compatible versions of Git. Thus,
325 rewriting split commit-graph as a single file (`--split=replace`) creates a
326 single layer with corrected commit dates.
327
328 Deleting graph-\{hash\} files
329 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
330
331 After a new tip file is written, some `graph-{hash}` files may no longer
332 be part of a chain. It is important to remove these files from disk, eventually.
333 The main reason to delay removal is that another process could read the
334 `commit-graph-chain` file before it is rewritten, but then look for the
335 `graph-{hash}` files after they are deleted.
336
337 To allow holding old split commit-graphs for a while after they are unreferenced,
338 we update the modified times of the files when they become unreferenced. Then,
339 we scan the `$OBJDIR/info/commit-graphs/` directory for `graph-{hash}`
340 files whose modified times are older than a given expiry window. This window
341 defaults to zero, but can be changed using command-line arguments or a config
342 setting.
343
344 Chains across multiple object directories
345 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
346
347 In a repo with alternates, we look for the `commit-graph-chain` file starting
348 in the local object directory and then in each alternate. The first file that
349 exists defines our chain. As we look for the `graph-{hash}` files for
350 each `{hash}` in the chain file, we follow the same pattern for the host
351 directories.
352
353 This allows commit-graphs to be split across multiple forks in a fork network.
354 The typical case is a large "base" repo with many smaller forks.
355
356 As the base repo advances, it will likely update and merge its commit-graph
357 chain more frequently than the forks. If a fork updates their commit-graph after
358 the base repo, then it should "reparent" the commit-graph chain onto the new
359 chain in the base repo. When reading each `graph-{hash}` file, we track
360 the object directory containing it. During a write of a new commit-graph file,
361 we check for any changes in the source object directory and read the
362 `commit-graph-chain` file for that source and create a new file based on those
363 files. During this "reparent" operation, we necessarily need to collapse all
364 levels in the fork, as all of the files are invalid against the new base file.
365
366 It is crucial to be careful when cleaning up "unreferenced" `graph-{hash}.graph`
367 files in this scenario. It falls to the user to define the proper settings for
368 their custom environment:
369
370 1. When merging levels in the base repo, the unreferenced files may still be
371 referenced by chains from fork repos.
372
373 2. The expiry time should be set to a length of time such that every fork has
374 time to recompute their commit-graph chain to "reparent" onto the new base
375 file(s).
376
377 3. If the commit-graph chain is updated in the base, the fork will not have
378 access to the new chain until its chain is updated to reference those files.
379 (This may change in the future [5].)
380
381 Related Links
382 -------------
383 [0] https://bugs.chromium.org/p/git/issues/detail?id=8
384 Chromium work item for: Serialized Commit Graph
385
386 [1] https://lore.kernel.org/git/20110713070517.GC18566@sigill.intra.peff.net/
387 An abandoned patch that introduced generation numbers.
388
389 [2] https://lore.kernel.org/git/20170908033403.q7e6dj7benasrjes@sigill.intra.peff.net/
390 Discussion about generation numbers on commits and how they interact
391 with fsck.
392
393 [3] https://lore.kernel.org/git/20170908034739.4op3w4f2ma5s65ku@sigill.intra.peff.net/
394 More discussion about generation numbers and not storing them inside
395 commit objects. A valuable quote:
396
397 "I think we should be moving more in the direction of keeping
398 repo-local caches for optimizations. Reachability bitmaps have been
399 a big performance win. I think we should be doing the same with our
400 properties of commits. Not just generation numbers, but making it
401 cheap to access the graph structure without zlib-inflating whole
402 commit objects (i.e., packv4 or something like the "metapacks" I
403 proposed a few years ago)."
404
405 [4] https://lore.kernel.org/git/20180108154822.54829-1-git@jeffhostetler.com/T/#u
406 A patch to remove the ahead-behind calculation from 'status'.
407
408 [5] https://lore.kernel.org/git/f27db281-abad-5043-6d71-cbb083b1c877@gmail.com/
409 A discussion of a "two-dimensional graph position" that can allow reading
410 multiple commit-graph chains at the same time.