bloom: encode out-of-bounds filters as non-empty

When a changed-path Bloom filter has either zero, or more than a
certain number (commonly 512) of entries, the commit-graph machinery
encodes it as "missing". More specifically, it sets the indices adjacent
in the BIDX chunk as equal to each other to indicate a "length 0"
filter; that is, that the filter occupies zero bytes on disk.

This has heretofore been fine, since the commit-graph machinery has no
need to care about these filters with too few or too many changed paths.
Both cases act like no filter has been generated at all, and so there is
no need to store them.

In a subsequent commit, however, the commit-graph machinery will learn
to only compute Bloom filters for some commits in the current
commit-graph layer. This is a change from the current implementation
which computes Bloom filters for all commits that are in the layer being
written. Critically for this patch, only computing some of the Bloom
filters means adding a third state for length 0 Bloom filters: zero
entries, too many entries, or "hasn't been computed".

It will be important for that future patch to distinguish between "not
representable" (i.e., zero or too-many changed paths), and "hasn't been
computed". In particular, we don't want to waste time recomputing
filters that have already been computed.

To that end, change how we store Bloom filters in the "computed but not
representable" category:

  - Bloom filters with no entries are stored as a single byte with all
    bits low (i.e., all queries to that Bloom filter will return
    "definitely not")

  - Bloom filters with too many entries are stored as a single byte with
    all bits set high (i.e., all queries to that Bloom filter will
    return "maybe").

These rules are sufficient to not incur a behavior change by changing
the on-disk representation of these two classes. Likewise, no
specification changes are necessary for the commit-graph format, either:

  - Filters that were previously empty will be recomputed and stored
    according to the new rules, and

  - old clients reading filters generated by new clients will interpret
    the filters correctly and be none the wiser to how they were
    generated.

Clients will invoke the Bloom machinery in more cases than before, but
this can be addressed by returning a NULL filter when all bits are set
high. This can be addressed in a future patch.

Note that this does increase the size of on-disk commit-graphs, but far
less than other proposals. In particular, this is generally more
efficient than storing a bitmap for which commits haven't computed their
Bloom filters. Storing a bitmap incurs a penalty of one bit per commit,
whereas storing explicit filters as above incurs a penalty of one byte
per too-large or empty commit.

In practice, these boundary commits likely occupy a small proportion of
the overall number of commits, and so the size penalty is likely smaller
than storing a bitmap for all commits.

See, for example, these relative proportions of such boundary commits
(collected by SZEDER Gábor):

                  |     Percentage of     |    commit-graph   |           |
                  |   commits modifying   |     file size     |           |
                  ├────────┬──────────────┼───────────────────┤    pct.   |
                  | 0 path | >= 512 paths | before  |  after  |   change  |
 ┌────────────────┼────────┼──────────────┼─────────┼─────────┼───────────┤
 | android-base   | 13.20% |        0.13% | 37.468M | 37.534M | +0.1741 % |
 | cmssw          |  0.15% |        0.23% | 17.118M | 17.119M | +0.0091 % |
 | cpython        |  3.07% |        0.01% |  7.967M |  7.971M | +0.0423 % |
 | elasticsearch  |  0.70% |        1.00% |  8.833M |  8.835M | +0.0128 % |
 | gcc            |  0.00% |        0.08% | 16.073M | 16.074M | +0.0030 % |
 | gecko-dev      |  0.14% |        0.64% | 59.868M | 59.874M | +0.0105 % |
 | git            |  0.11% |        0.02% |  3.895M |  3.895M | +0.0020 % |
 | glibc          |  0.02% |        0.10% |  3.555M |  3.555M | +0.0021 % |
 | go             |  0.00% |        0.07% |  3.186M |  3.186M | +0.0018 % |
 | homebrew-cask  |  0.40% |        0.02% |  7.035M |  7.035M | +0.0065 % |
 | homebrew-core  |  0.01% |        0.01% | 11.611M | 11.611M | +0.0002 % |
 | jdk            |  0.26% |        5.64% |  5.537M |  5.540M | +0.0590 % |
 | linux          |  0.01% |        0.51% | 63.735M | 63.740M | +0.0073 % |
 | llvm-project   |  0.12% |        0.03% | 25.515M | 25.516M | +0.0050 % |
 | rails          |  0.10% |        0.10% |  6.252M |  6.252M | +0.0027 % |
 | rust           |  0.07% |        0.17% |  9.364M |  9.364M | +0.0033 % |
 | tensorflow     |  0.09% |        1.02% |  7.009M |  7.010M | +0.0158 % |
 | webkit         |  0.05% |        0.31% | 17.405M | 17.406M | +0.0047 % |

(where the above increase is determined by computing a non-split
commit-graph before and after this patch).

Given that these projects are all "large" by commit count, the storage
cost by writing these filters explicitly is negligible. In the most
extreme example, android-base (which has 494,848 commits at the time of
writing) would have its commit-graph increase by a modest 68.4 KB.

Finally, a test to exercise filters which contain too many changed path
entries will be introduced in a subsequent patch.

Suggested-by: SZEDER Gábor <szeder.dev@gmail.com>
Suggested-by: Jakub Narębski <jnareb@gmail.com>
Helped-by: Derrick Stolee <dstolee@microsoft.com>
Helped-by: SZEDER Gábor <szeder.dev@gmail.com>
Helped-by: Junio C Hamano <gitster@pobox.com>
Signed-off-by: Taylor Blau <me@ttaylorr.com>
Signed-off-by: Junio C Hamano <gitster@pobox.com>
diff --git a/Documentation/technical/commit-graph-format.txt b/Documentation/technical/commit-graph-format.txt
index 4405410..814ef81 100644
--- a/Documentation/technical/commit-graph-format.txt
+++ b/Documentation/technical/commit-graph-format.txt
@@ -120,7 +120,7 @@
     * The rest of the chunk is the concatenation of all the computed Bloom
       filters for the commits in lexicographic order.
     * Note: Commits with no changes or more than 512 changes have Bloom filters
-      of length zero.
+      of length one, with either all bits set to zero or one respectively.
     * The BDAT chunk is present if and only if BIDX is present.
 
   Base Graphs List (ID: {'B', 'A', 'S', 'E'}) [Optional]
diff --git a/bloom.c b/bloom.c
index db9fb82..d234551 100644
--- a/bloom.c
+++ b/bloom.c
@@ -177,6 +177,13 @@
 	return strcmp(e1->path, e2->path);
 }
 
+static void init_truncated_large_filter(struct bloom_filter *filter)
+{
+	filter->data = xmalloc(1);
+	filter->data[0] = 0xFF;
+	filter->len = 1;
+}
+
 struct bloom_filter *get_or_compute_bloom_filter(struct repository *r,
 						 struct commit *c,
 						 int compute_if_not_present,
@@ -260,12 +267,18 @@
 		}
 
 		if (hashmap_get_size(&pathmap) > settings->max_changed_paths) {
+			init_truncated_large_filter(filter);
 			if (computed)
 				*computed |= BLOOM_TRUNC_LARGE;
 			goto cleanup;
 		}
 
 		filter->len = (hashmap_get_size(&pathmap) * settings->bits_per_entry + BITS_PER_WORD - 1) / BITS_PER_WORD;
+		if (!filter->len) {
+			if (computed)
+				*computed |= BLOOM_TRUNC_EMPTY;
+			filter->len = 1;
+		}
 		filter->data = xcalloc(filter->len, sizeof(unsigned char));
 
 		hashmap_for_each_entry(&pathmap, &iter, e, entry) {
@@ -279,8 +292,7 @@
 	} else {
 		for (i = 0; i < diff_queued_diff.nr; i++)
 			diff_free_filepair(diff_queued_diff.queue[i]);
-		filter->data = NULL;
-		filter->len = 0;
+		init_truncated_large_filter(filter);
 
 		if (computed)
 			*computed |= BLOOM_TRUNC_LARGE;
diff --git a/bloom.h b/bloom.h
index c6d77e8..adde6df 100644
--- a/bloom.h
+++ b/bloom.h
@@ -93,6 +93,7 @@
 	BLOOM_NOT_COMPUTED = (1 << 0),
 	BLOOM_COMPUTED     = (1 << 1),
 	BLOOM_TRUNC_LARGE  = (1 << 2),
+	BLOOM_TRUNC_EMPTY  = (1 << 3),
 };
 
 struct bloom_filter *get_or_compute_bloom_filter(struct repository *r,
diff --git a/commit-graph.c b/commit-graph.c
index 4d6ce29..0a9ace0 100644
--- a/commit-graph.c
+++ b/commit-graph.c
@@ -968,6 +968,7 @@
 
 	int count_bloom_filter_computed;
 	int count_bloom_filter_not_computed;
+	int count_bloom_filter_trunc_empty;
 	int count_bloom_filter_trunc_large;
 };
 
@@ -1396,6 +1397,8 @@
 			   ctx->count_bloom_filter_computed);
 	trace2_data_intmax("commit-graph", ctx->r, "filter-not-computed",
 			   ctx->count_bloom_filter_not_computed);
+	trace2_data_intmax("commit-graph", ctx->r, "filter-trunc-empty",
+			   ctx->count_bloom_filter_trunc_empty);
 	trace2_data_intmax("commit-graph", ctx->r, "filter-trunc-large",
 			   ctx->count_bloom_filter_trunc_large);
 }
@@ -1432,6 +1435,8 @@
 			&computed);
 		if (computed & BLOOM_COMPUTED) {
 			ctx->count_bloom_filter_computed++;
+			if (computed & BLOOM_TRUNC_EMPTY)
+				ctx->count_bloom_filter_trunc_empty++;
 			if (computed & BLOOM_TRUNC_LARGE)
 				ctx->count_bloom_filter_trunc_large++;
 		} else if (computed & BLOOM_NOT_COMPUTED)
diff --git a/t/t0095-bloom.sh b/t/t0095-bloom.sh
index 232ba2c..7e4ab17 100755
--- a/t/t0095-bloom.sh
+++ b/t/t0095-bloom.sh
@@ -71,8 +71,8 @@
 	git init &&
 	git commit --allow-empty -m "c0" &&
 	cat >expect <<-\EOF &&
-	Filter_Length:0
-	Filter_Data:
+	Filter_Length:1
+	Filter_Data:00|
 	EOF
 	test-tool bloom get_filter_for_commit "$(git rev-parse HEAD)" >actual &&
 	test_cmp expect actual
@@ -107,8 +107,8 @@
 	git add bigDir &&
 	git commit -m "commit with 513 changes" &&
 	cat >expect <<-\EOF &&
-	Filter_Length:0
-	Filter_Data:
+	Filter_Length:1
+	Filter_Data:ff|
 	EOF
 	test-tool bloom get_filter_for_commit "$(git rev-parse HEAD)" >actual &&
 	test_cmp expect actual
diff --git a/t/t4216-log-bloom.sh b/t/t4216-log-bloom.sh
index 6535a3c..ec9845c 100755
--- a/t/t4216-log-bloom.sh
+++ b/t/t4216-log-bloom.sh
@@ -30,8 +30,10 @@
 	rm file_to_be_deleted &&
 	git add . &&
 	git commit -m "file removed" &&
+	git commit --allow-empty -m "empty" &&
 	git commit-graph write --reachable --changed-paths
 '
+
 graph_read_expect () {
 	NUM_CHUNKS=5
 	cat >expect <<- EOF
@@ -44,7 +46,7 @@
 }
 
 test_expect_success 'commit-graph write wrote out the bloom chunks' '
-	graph_read_expect 15
+	graph_read_expect 16
 '
 
 # Turn off any inherited trace2 settings for this test.
@@ -151,7 +153,7 @@
 
 test_bloom_filters_used_when_some_filters_are_missing () {
 	log_args=$1
-	bloom_trace_prefix="statistics:{\"filter_not_present\":3,\"maybe\":6,\"definitely_not\":8"
+	bloom_trace_prefix="statistics:{\"filter_not_present\":3,\"maybe\":6,\"definitely_not\":9"
 	setup "$log_args" &&
 	grep -q "$bloom_trace_prefix" "$TRASH_DIRECTORY/trace.perf" &&
 	test_cmp log_wo_bloom log_w_bloom
@@ -180,10 +182,18 @@
 	grep "\"max_changed_paths\":$1" $2
 }
 
+test_filter_not_computed () {
+	grep "\"key\":\"filter-not-computed\",\"value\":\"$1\"" $2
+}
+
 test_filter_computed () {
 	grep "\"key\":\"filter-computed\",\"value\":\"$1\"" $2
 }
 
+test_filter_trunc_empty () {
+	grep "\"key\":\"filter-trunc-empty\",\"value\":\"$1\"" $2
+}
+
 test_filter_trunc_large () {
 	grep "\"key\":\"filter-trunc-large\",\"value\":\"$1\"" $2
 }
@@ -278,4 +288,21 @@
 	)
 '
 
+test_expect_success 'correctly report commits with no changed paths' '
+	git init empty &&
+	test_when_finished "rm -fr empty" &&
+	(
+		cd empty &&
+
+		git commit --allow-empty -m "initial commit" &&
+
+		GIT_TRACE2_EVENT="$(pwd)/trace.event" \
+			git commit-graph write --reachable --changed-paths &&
+		test_filter_computed 1 trace.event &&
+		test_filter_not_computed 0 trace.event &&
+		test_filter_trunc_empty 1 trace.event &&
+		test_filter_trunc_large 0 trace.event
+	)
+'
+
 test_done