port-rebase fixes

Signed-off-by: Artem Fetishev <rtm@victoriametrics.com>

go.mod

@@ -7,6 +7,7 @@ require (
 	github.com/Azure/azure-sdk-for-go/sdk/azcore v1.21.0
 	github.com/Azure/azure-sdk-for-go/sdk/azidentity v1.13.1
 	github.com/Azure/azure-sdk-for-go/sdk/storage/azblob v1.6.4
+	github.com/RoaringBitmap/roaring/v2 v2.14.4
 	github.com/VictoriaMetrics/VictoriaLogs v0.0.0-20260218111324-95b48d57d032
 	github.com/VictoriaMetrics/easyproto v1.2.0
 	github.com/VictoriaMetrics/fastcache v1.13.3
@@ -73,6 +74,7 @@ require (
 	github.com/aws/smithy-go v1.24.0 // indirect
 	github.com/bboreham/go-loser v0.0.0-20230920113527-fcc2c21820a3 // indirect
 	github.com/beorn7/perks v1.0.1 // indirect
+	github.com/bits-and-blooms/bitset v1.24.2 // indirect
 	github.com/clipperhouse/uax29/v2 v2.7.0 // indirect
 	github.com/cncf/xds/go v0.0.0-20260202195803-dba9d589def2 // indirect
 	github.com/cpuguy83/go-md2man/v2 v2.0.7 // indirect
@@ -106,6 +108,7 @@ require (
 	github.com/mitchellh/reflectwalk v1.0.2 // indirect
 	github.com/modern-go/concurrent v0.0.0-20180306012644-bacd9c7ef1dd // indirect
 	github.com/modern-go/reflect2 v1.0.3-0.20250322232337-35a7c28c31ee // indirect
+	github.com/mschoch/smat v0.2.0 // indirect
 	github.com/munnerz/goautoneg v0.0.0-20191010083416-a7dc8b61c822 // indirect
 	github.com/mwitkow/go-conntrack v0.0.0-20190716064945-2f068394615f // indirect
 	github.com/oklog/ulid/v2 v2.1.1 // indirect

go.sum

@@ -52,6 +52,8 @@ github.com/GoogleCloudPlatform/opentelemetry-operations-go/internal/resourcemapp
 github.com/GoogleCloudPlatform/opentelemetry-operations-go/internal/resourcemapping v0.55.0/go.mod h1:Mf6O40IAyB9zR/1J8nGDDPirZQQPbYJni8Yisy7NTMc=
 github.com/Microsoft/go-winio v0.6.2 h1:F2VQgta7ecxGYO8k3ZZz3RS8fVIXVxONVUPlNERoyfY=
 github.com/Microsoft/go-winio v0.6.2/go.mod h1:yd8OoFMLzJbo9gZq8j5qaps8bJ9aShtEA8Ipt1oGCvU=
+github.com/RoaringBitmap/roaring/v2 v2.14.4 h1:4aKySrrg9G/5oRtJ3TrZLObVqxgQ9f1znCRBwEwjuVw=
+github.com/RoaringBitmap/roaring/v2 v2.14.4/go.mod h1:oMvV6omPWr+2ifRdeZvVJyaz+aoEUopyv5iH0u/+wbY=
 github.com/VictoriaMetrics/VictoriaLogs v0.0.0-20260218111324-95b48d57d032 h1:kKVeXC+HAcMeMLefoKCWf934y9MoLU8V3Da7k6WP4K8=
 github.com/VictoriaMetrics/VictoriaLogs v0.0.0-20260218111324-95b48d57d032/go.mod h1:WQ8hGgfKx1lXCCcS1SJSOklN9fToSbshtvKHp3xsv4w=
 github.com/VictoriaMetrics/easyproto v1.2.0 h1:FJT9uNXA2isppFuJErbLqD306KoFlehl7Wn2dg/6oIE=
@@ -120,6 +122,8 @@ github.com/bboreham/go-loser v0.0.0-20230920113527-fcc2c21820a3 h1:6df1vn4bBlDDo
 github.com/bboreham/go-loser v0.0.0-20230920113527-fcc2c21820a3/go.mod h1:CIWtjkly68+yqLPbvwwR/fjNJA/idrtULjZWh2v1ys0=
 github.com/beorn7/perks v1.0.1 h1:VlbKKnNfV8bJzeqoa4cOKqO6bYr3WgKZxO8Z16+hsOM=
 github.com/beorn7/perks v1.0.1/go.mod h1:G2ZrVWU2WbWT9wwq4/hrbKbnv/1ERSJQ0ibhJ6rlkpw=
+github.com/bits-and-blooms/bitset v1.24.2 h1:M7/NzVbsytmtfHbumG+K2bremQPMJuqv1JD3vOaFxp0=
+github.com/bits-and-blooms/bitset v1.24.2/go.mod h1:7hO7Gc7Pp1vODcmWvKMRA9BNmbv6a/7QIWpPxHddWR8=
 github.com/bmatcuk/doublestar/v4 v4.10.0 h1:zU9WiOla1YA122oLM6i4EXvGW62DvKZVxIe6TYWexEs=
 github.com/bmatcuk/doublestar/v4 v4.10.0/go.mod h1:xBQ8jztBU6kakFMg+8WGxn0c6z1fTSPVIjEY1Wr7jzc=
 github.com/cespare/xxhash/v2 v2.3.0 h1:UL815xU9SqsFlibzuggzjXhog7bL6oX9BbNZnL2UFvs=
@@ -330,6 +334,8 @@ github.com/modern-go/concurrent v0.0.0-20180306012644-bacd9c7ef1dd/go.mod h1:6dJ
 github.com/modern-go/reflect2 v1.0.2/go.mod h1:yWuevngMOJpCy52FWWMvUC8ws7m/LJsjYzDa0/r8luk=
 github.com/modern-go/reflect2 v1.0.3-0.20250322232337-35a7c28c31ee h1:W5t00kpgFdJifH4BDsTlE89Zl93FEloxaWZfGcifgq8=
 github.com/modern-go/reflect2 v1.0.3-0.20250322232337-35a7c28c31ee/go.mod h1:yWuevngMOJpCy52FWWMvUC8ws7m/LJsjYzDa0/r8luk=
+github.com/mschoch/smat v0.2.0 h1:8imxQsjDm8yFEAVBe7azKmKSgzSkZXDuKkSq9374khM=
+github.com/mschoch/smat v0.2.0/go.mod h1:kc9mz7DoBKqDyiRL7VZN8KvXQMWeTaVnttLRXOlotKw=
 github.com/munnerz/goautoneg v0.0.0-20191010083416-a7dc8b61c822 h1:C3w9PqII01/Oq1c1nUAm88MOHcQC9l5mIlSMApZMrHA=
 github.com/munnerz/goautoneg v0.0.0-20191010083416-a7dc8b61c822/go.mod h1:+n7T8mK8HuQTcFwEeznm/DIxMOiR9yIdICNftLE1DvQ=
 github.com/mwitkow/go-conntrack v0.0.0-20190716064945-2f068394615f h1:KUppIJq7/+SVif2QVs3tOP0zanoHgBEVAwHxUSIzRqU=

lib/uint64set/uint64set_timing_test.go

@@ -5,14 +5,14 @@ import (
 	"testing"
 	"time"
 
+	"github.com/RoaringBitmap/roaring/v2/roaring64"
 	"github.com/valyala/fastrand"
 )
 
 func BenchmarkAddMulti(b *testing.B) {
 	for _, itemsCount := range []int{1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7} {
 		start := uint64(time.Now().UnixNano())
-		sa := createRangeSet(start, itemsCount)
-		a := sa.AppendTo(nil)
+		a := createRangeSet(start, itemsCount).ToArray()
 		b.Run(fmt.Sprintf("items_%d", itemsCount), func(b *testing.B) {
 			benchmarkAddMulti(b, a)
 		})
@@ -22,8 +22,7 @@ func BenchmarkAddMulti(b *testing.B) {
 func BenchmarkAdd(b *testing.B) {
 	for _, itemsCount := range []int{1e3, 1e4, 1e5, 1e6, 1e7} {
 		start := uint64(time.Now().UnixNano())
-		sa := createRangeSet(start, itemsCount)
-		a := sa.AppendTo(nil)
+		a := createRangeSet(start, itemsCount).ToArray()
 		b.Run(fmt.Sprintf("items_%d", itemsCount), func(b *testing.B) {
 			benchmarkAdd(b, a)
 		})
@@ -68,7 +67,7 @@ func benchmarkAdd(b *testing.B, a []uint64) {
 	b.SetBytes(int64(len(a)))
 	b.RunParallel(func(pb *testing.PB) {
 		for pb.Next() {
-			var s Set
+			s := roaring64.New()
 			for _, x := range a {
 				s.Add(x)
 			}
@@ -81,26 +80,26 @@ func benchmarkAddMulti(b *testing.B, a []uint64) {
 	b.SetBytes(int64(len(a)))
 	b.RunParallel(func(pb *testing.PB) {
 		for pb.Next() {
-			var s Set
+			s := roaring64.New()
 			n := 0
 			for n < len(a) {
 				m := min(n+64, len(a))
-				s.AddMulti(a[n:m])
+				s.AddMany(a[n:m])
 				n = m
 			}
 		}
 	})
 }
 
-func benchmarkUnion(b *testing.B, sa, sb *Set) {
+func benchmarkUnion(b *testing.B, sa, sb *roaring64.Bitmap) {
 	b.ReportAllocs()
-	b.SetBytes(int64(sa.Len() + sb.Len()))
+	b.SetBytes(int64(sa.Stats().Cardinality + sb.Stats().Cardinality))
 	b.RunParallel(func(pb *testing.PB) {
 		for pb.Next() {
 			saCopy := sa.Clone()
 			sbCopy := sb.Clone()
-			saCopy.Union(sb)
-			sbCopy.Union(sa)
+			saCopy.Or(sb)
+			sbCopy.Or(sa)
 		}
 	})
 }
@@ -138,15 +137,15 @@ func BenchmarkIntersectFullOverlap(b *testing.B) {
 	}
 }
 
-func benchmarkIntersect(b *testing.B, sa, sb *Set) {
+func benchmarkIntersect(b *testing.B, sa, sb *roaring64.Bitmap) {
 	b.ReportAllocs()
-	b.SetBytes(int64(sa.Len() + sb.Len()))
+	b.SetBytes(int64(sa.Stats().Cardinality + sb.Stats().Cardinality))
 	b.RunParallel(func(pb *testing.PB) {
 		for pb.Next() {
 			saCopy := sa.Clone()
 			sbCopy := sb.Clone()
-			saCopy.Intersect(sb)
-			sbCopy.Intersect(sa)
+			saCopy.And(sb)
+			sbCopy.And(sa)
 		}
 	})
 }
@@ -156,10 +155,10 @@ func BenchmarkSubtract(b *testing.B) {
 		sa := createRangeSet(startA, int(itemsCountA))
 		sb := createRangeSet(startB, int(itemsCountB))
 		b.ReportAllocs()
-		b.SetBytes(int64(sa.Len() + sb.Len()))
+		b.SetBytes(int64(sa.Stats().Cardinality + sb.Stats().Cardinality))
 		for b.Loop() {
 			saCopy := sa.Clone()
-			saCopy.Subtract(sb)
+			saCopy.AndNot(sb)
 		}
 	}
 
@@ -211,13 +210,13 @@ func BenchmarkSubtract(b *testing.B) {
 	}
 }
 
-func createRangeSet(start uint64, itemsCount int) *Set {
-	var s Set
+func createRangeSet(start uint64, itemsCount int) *roaring64.Bitmap {
+	s := roaring64.New()
 	for i := range itemsCount {
 		n := start + uint64(i)
 		s.Add(n)
 	}
-	return &s
+	return s
 }
 
 func BenchmarkSetAddRandomLastBits(b *testing.B) {
@@ -231,7 +230,7 @@ func BenchmarkSetAddRandomLastBits(b *testing.B) {
 				var rng fastrand.RNG
 				for pb.Next() {
 					start := uint64(time.Now().UnixNano())
-					var s Set
+					s := roaring64.New()
 					for range int(itemsCount) {
 						n := start | (uint64(rng.Uint32()) & mask)
 						s.Add(n)
@@ -273,7 +272,7 @@ func BenchmarkSetAddWithAllocs(b *testing.B) {
 				for pb.Next() {
 					start := uint64(time.Now().UnixNano())
 					end := start + itemsCount
-					var s Set
+					s := roaring64.New()
 					n := start
 					for n < end {
 						s.Add(n)
@@ -357,13 +356,13 @@ func BenchmarkSetHasHitRandomLastBits(b *testing.B) {
 		mask := (uint64(1) << lastBits) - 1
 		b.Run(fmt.Sprintf("lastBits_%d", lastBits), func(b *testing.B) {
 			start := uint64(time.Now().UnixNano())
-			var s Set
+			s := roaring64.New()
 			var rng fastrand.RNG
 			for range int(itemsCount) {
 				n := start | (uint64(rng.Uint32()) & mask)
 				s.Add(n)
 			}
-			a := s.AppendTo(nil)
+			a := s.ToArray()
 
 			b.ResetTimer()
 			b.ReportAllocs()
@@ -371,7 +370,7 @@ func BenchmarkSetHasHitRandomLastBits(b *testing.B) {
 			b.RunParallel(func(pb *testing.PB) {
 				for pb.Next() {
 					for _, n := range a {
-						if !s.Has(n) {
+						if !s.Contains(n) {
 							panic("unexpected miss")
 						}
 					}
@@ -415,7 +414,7 @@ func BenchmarkSetHasHit(b *testing.B) {
 		b.Run(fmt.Sprintf("items_%d", itemsCount), func(b *testing.B) {
 			start := uint64(time.Now().UnixNano())
 			end := start + itemsCount
-			var s Set
+			s := roaring64.New()
 			n := start
 			for n < end {
 				s.Add(n)
@@ -429,7 +428,7 @@ func BenchmarkSetHasHit(b *testing.B) {
 				for pb.Next() {
 					n := start
 					for n < end {
-						if !s.Has(n) {
+						if !s.Contains(n) {
 							panic("unexpected miss")
 						}
 						n++
@@ -475,7 +474,7 @@ func BenchmarkSetHasMiss(b *testing.B) {
 		b.Run(fmt.Sprintf("items_%d", itemsCount), func(b *testing.B) {
 			start := uint64(time.Now().UnixNano())
 			end := start + itemsCount
-			var s Set
+			s := roaring64.New()
 			n := start
 			for n < end {
 				s.Add(n)
@@ -490,7 +489,7 @@ func BenchmarkSetHasMiss(b *testing.B) {
 					n := end
 					nEnd := end + itemsCount
 					for n < nEnd {
-						if s.Has(n) {
+						if s.Contains(n) {
 							panic("unexpected hit")
 						}
 						n++
@@ -531,3 +530,62 @@ func BenchmarkMapHasMiss(b *testing.B) {
 		})
 	}
 }
+
+func BenchmarkSizeBytes_uint64slice(b *testing.B) {
+	benchmarkSizeBytes(b, func(start, n, step uint64) uint64 {
+		s := []uint64{}
+		for i := range n {
+			v := start + i*step
+			s = append(s, v)
+		}
+		return uint64(len(s) * 8)
+	})
+}
+
+func BenchmarkSizeBytes_uint64set(b *testing.B) {
+	benchmarkSizeBytes(b, func(start, n, step uint64) uint64 {
+		s := &Set{}
+		for i := range n {
+			v := start + i*step
+			s.Add(v)
+		}
+		return s.SizeBytes()
+	})
+}
+
+func BenchmarkSizeBytes_roaring(b *testing.B) {
+	benchmarkSizeBytes(b, func(start, n, step uint64) uint64 {
+		s := roaring64.New()
+		for i := range n {
+			v := start + i*step
+			s.Add(v)
+		}
+		stats := s.Stats()
+		sizeBytes := stats.ArrayContainerBytes
+		sizeBytes += stats.BitmapContainerBytes
+		sizeBytes += stats.RunContainerBytes
+		return sizeBytes
+	})
+}
+
+func benchmarkSizeBytes(b *testing.B, sizeBytesFunc func(start, n, step uint64) uint64) {
+	f := func(b *testing.B, n, step uint64) {
+		start := uint64(time.Now().UnixNano())
+		var sizeBytes uint64
+		for b.Loop() {
+			sizeBytes = sizeBytesFunc(start, n, step)
+		}
+
+		b.ReportAllocs()
+		b.ReportMetric(float64(sizeBytes), "bytes")
+	}
+
+	for _, n := range []uint64{15_000_000} {
+		for _, step := range []uint64{1, 10, 100, 1e3, 1e4, 1e5, 1e6} {
+			name := fmt.Sprintf("%d/%d", n, step)
+			b.Run(name, func(b *testing.B) {
+				f(b, n, step)
+			})
+		}
+	}
+}

vendor/github.com/RoaringBitmap/roaring/v2/.drone.yml

@@ -0,0 +1,19 @@
+kind: pipeline
+name: default
+
+workspace:
+  base: /go
+  path: src/github.com/RoaringBitmap/roaring
+
+steps:
+- name: test
+  image: golang
+  commands:
+  - go get -t 
+  - go test 
+  - go build -tags appengine 
+  - go test -tags appengine 
+  - GOARCH=386 go build
+  - GOARCH=386 go test
+  - GOARCH=arm go build
+  - GOARCH=arm64 go build

vendor/github.com/RoaringBitmap/roaring/v2/.gitignore

@@ -0,0 +1,5 @@
+*~
+roaring-fuzz.zip
+workdir
+coverage.out
+testdata/all3.classic

vendor/github.com/RoaringBitmap/roaring/v2/AUTHORS

@@ -0,0 +1,11 @@
+# This is the official list of roaring authors for copyright purposes. 
+
+Todd Gruben (@tgruben),
+Daniel Lemire (@lemire),
+Elliot Murphy (@statik),
+Bob Potter (@bpot),
+Tyson Maly (@tvmaly),
+Will Glynn (@willglynn),
+Brent Pedersen (@brentp)
+Maciej Biłas (@maciej),
+Joe Nall (@joenall)

vendor/github.com/RoaringBitmap/roaring/v2/CONTRIBUTORS

@@ -0,0 +1,18 @@
+# This is the official list of roaring contributors 
+
+Todd Gruben (@tgruben),
+Daniel Lemire (@lemire),
+Elliot Murphy (@statik),
+Bob Potter (@bpot),
+Tyson Maly (@tvmaly),
+Will Glynn (@willglynn),
+Brent Pedersen (@brentp),
+Jason E. Aten (@glycerine),
+Vali Malinoiu (@0x4139),
+Forud Ghafouri (@fzerorubigd),
+Joe Nall (@joenall),
+(@fredim),
+Edd Robinson (@e-dard),
+Alexander Petrov (@alldroll),
+Guy Molinari (@guymolinari),
+Ling Jin (@JinLingChristopher)

vendor/github.com/RoaringBitmap/roaring/v2/LICENSE

@@ -0,0 +1,235 @@
+
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
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+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
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+      "Work" shall mean the work of authorship, whether in Source or
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+      copyright notice that is included in or attached to the work
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+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
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+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
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+      "Contribution" shall mean any work of authorship, including
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vendor/github.com/RoaringBitmap/roaring/v2/LICENSE-2.0.txt

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vendor/github.com/RoaringBitmap/roaring/v2/README.md

@@ -0,0 +1,432 @@
+# roaring 
+
+[![GoDoc](https://godoc.org/github.com/RoaringBitmap/roaring?status.svg)](https://godoc.org/github.com/RoaringBitmap/roaring) [![Go Report Card](https://goreportcard.com/badge/RoaringBitmap/roaring)](https://goreportcard.com/report/github.com/RoaringBitmap/roaring)
+
+![Go-CI](https://github.com/RoaringBitmap/roaring/workflows/Go-CI/badge.svg)
+![Go-ARM-CI](https://github.com/RoaringBitmap/roaring/workflows/Go-ARM-CI/badge.svg)
+![Go-Windows-CI](https://github.com/RoaringBitmap/roaring/workflows/Go-Windows-CI/badge.svg)
+=============
+
+This is a go version of the Roaring bitmap data structure. 
+
+Roaring bitmaps are used by several major systems such as [Apache Lucene][lucene] and derivative systems such as [Solr][solr] and
+[Elasticsearch][elasticsearch], [Apache Druid (Incubating)][druid], [LinkedIn Pinot][pinot], [Netflix Atlas][atlas],  [Apache Spark][spark], [OpenSearchServer][opensearchserver], [anacrolix/torrent][anacrolix/torrent], [Whoosh][whoosh], [Redpanda](https://github.com/redpanda-data/redpanda), [Pilosa][pilosa],  [Microsoft Visual Studio Team Services (VSTS)][vsts], and eBay's [Apache Kylin][kylin]. The YouTube SQL Engine, [Google Procella](https://research.google/pubs/pub48388/), uses Roaring bitmaps for indexing.
+
+[lucene]: https://lucene.apache.org/
+[solr]: https://lucene.apache.org/solr/
+[elasticsearch]: https://www.elastic.co/products/elasticsearch
+[druid]: https://druid.apache.org/
+[spark]: https://spark.apache.org/
+[opensearchserver]: http://www.opensearchserver.com
+[anacrolix/torrent]: https://github.com/anacrolix/torrent
+[whoosh]: https://bitbucket.org/mchaput/whoosh/wiki/Home
+[pilosa]: https://www.pilosa.com/
+[kylin]: http://kylin.apache.org/
+[pinot]: http://github.com/linkedin/pinot/wiki
+[vsts]: https://www.visualstudio.com/team-services/
+[atlas]: https://github.com/Netflix/atlas
+[quanta]: https://github.com/disney/quanta
+
+Roaring bitmaps are found to work well in many important applications:
+
+> Use Roaring for bitmap compression whenever possible. Do not use other bitmap compression methods ([Wang et al., SIGMOD 2017](http://db.ucsd.edu/wp-content/uploads/2017/03/sidm338-wangA.pdf))
+
+
+The ``roaring`` Go library is used by
+* [anacrolix/torrent]
+* [InfluxDB](https://www.influxdata.com)
+* [Pilosa](https://www.pilosa.com/)
+* [Bleve](http://www.blevesearch.com)
+* [Weaviate](https://github.com/weaviate/weaviate)
+* [lindb](https://github.com/lindb/lindb)
+* [Elasticell](https://github.com/deepfabric/elasticell)
+* [SourceGraph](https://github.com/sourcegraph/sourcegraph)
+* [M3](https://github.com/m3db/m3)
+* [trident](https://github.com/NetApp/trident)
+* [Husky](https://www.datadoghq.com/blog/engineering/introducing-husky/)
+* [FrostDB](https://github.com/polarsignals/frostdb)
+* [Disney Quanta](https://github.com/disney/quanta)
+
+
+
+
+This library is used in production in several systems, it is part of the [Awesome Go collection](https://awesome-go.com).
+
+
+There are also  [Java](https://github.com/RoaringBitmap/RoaringBitmap) and [C/C++](https://github.com/RoaringBitmap/CRoaring) versions.  The Java, C, C++ and Go version are binary compatible: e.g,  you can save bitmaps
+from a Java program and load them back in Go, and vice versa. We have a [format specification](https://github.com/RoaringBitmap/RoaringFormatSpec).
+
+
+This code is licensed under Apache License, Version 2.0 (ASL2.0).
+
+Copyright 2016-... by the authors.
+
+When should you use a bitmap?
+===================================
+
+
+Sets are a fundamental abstraction in
+software. They can be implemented in various
+ways, as hash sets, as trees, and so forth.
+In databases and search engines, sets are often an integral
+part of indexes. For example, we may need to maintain a set
+of all documents or rows  (represented by numerical identifier)
+that satisfy some property. Besides adding or removing
+elements from the set, we need fast functions
+to compute the intersection, the union, the difference between sets, and so on.
+
+
+To implement a set
+of integers, a particularly appealing strategy is the
+bitmap (also called bitset or bit vector). Using n bits,
+we can represent any set made of the integers from the range
+[0,n): the ith bit is set to one if integer i is present in the set.
+Commodity processors use words of W=32 or W=64 bits. By combining many such words, we can
+support large values of n. Intersections, unions and differences can then be implemented
+ as bitwise AND, OR and ANDNOT operations.
+More complicated set functions can also be implemented as bitwise operations.
+
+When the bitset approach is applicable, it can be orders of
+magnitude faster than other possible implementation of a set (e.g., as a hash set)
+while using several times less memory.
+
+However, a bitset, even a compressed one is not always applicable. For example, if
+you have 1000 random-looking integers, then a simple array might be the best representation.
+We refer to this case as the "sparse" scenario.
+
+When should you use compressed bitmaps?
+===================================
+
+An uncompressed BitSet can use a lot of memory. For example, if you take a BitSet
+and set the bit at position 1,000,000 to true and you have just over 100kB. That is over 100kB
+to store the position of one bit. This is wasteful  even if you do not care about memory:
+suppose that you need to compute the intersection between this BitSet and another one
+that has a bit at position 1,000,001 to true, then you need to go through all these zeroes,
+whether you like it or not. That can become very wasteful.
+
+This being said, there are definitively cases where attempting to use compressed bitmaps is wasteful.
+For example, if you have a small universe size. E.g., your bitmaps represent sets of integers
+from [0,n) where n is small (e.g., n=64 or n=128). If you can use uncompressed BitSet and
+it does not blow up your memory usage,  then compressed bitmaps are probably not useful
+to you. In fact, if you do not need compression, then a BitSet offers remarkable speed.
+
+The sparse scenario is another use case where compressed bitmaps should not be used.
+Keep in mind that random-looking data is usually not compressible. E.g., if you have a small set of
+32-bit random integers, it is not mathematically possible to use far less than 32 bits per integer,
+and attempts at compression can be counterproductive.
+
+How does Roaring compares with the alternatives?
+==================================================
+
+
+Most alternatives to Roaring are part of a larger family of compressed bitmaps that are run-length-encoded
+bitmaps. They identify long runs of 1s or 0s and they represent them with a marker word.
+If you have a local mix of 1s and 0, you use an uncompressed word.
+
+There are many formats in this family:
+
+* Oracle's BBC is an obsolete format at this point: though it may provide good compression,
+it is likely much slower than more recent alternatives due to excessive branching.
+* WAH is a patented variation on BBC that provides better performance.
+* Concise is a variation on the patented WAH. It some specific instances, it can compress
+much better than WAH (up to 2x better), but it is generally slower.
+* EWAH is both free of patent, and it is faster than all the above. On the downside, it
+does not compress quite as well. It is faster because it allows some form of "skipping"
+over uncompressed words. So though none of these formats are great at random access, EWAH
+is better than the alternatives.
+
+
+
+There is a big problem with these formats however that can hurt you badly in some cases: there is no random access. If you want to check whether a given value is present in the set, you have to start from the beginning and "uncompress" the whole thing. This means that if you want to intersect a big set with a large set, you still have to uncompress the whole big set in the worst case...
+
+Roaring solves this problem. It works in the following manner. It divides the data into chunks of 2<sup>16</sup> integers
+(e.g., [0, 2<sup>16</sup>), [2<sup>16</sup>, 2 x 2<sup>16</sup>), ...). Within a chunk, it can use an uncompressed bitmap, a simple list of integers,
+or a list of runs. Whatever format it uses, they all allow you to check for the presence of any one value quickly
+(e.g., with a binary search). The net result is that Roaring can compute many operations much faster than run-length-encoded
+formats like WAH, EWAH, Concise... Maybe surprisingly, Roaring also generally offers better compression ratios.
+
+
+
+
+
+### References
+
+- Daniel Lemire, Owen Kaser, Nathan Kurz, Luca Deri, Chris O'Hara, François Saint-Jacques, Gregory Ssi-Yan-Kai, Roaring Bitmaps: Implementation of an Optimized Software Library, Software: Practice and Experience 48 (4), 2018 [arXiv:1709.07821](https://arxiv.org/abs/1709.07821)
+-  Samy Chambi, Daniel Lemire, Owen Kaser, Robert Godin,
+Better bitmap performance with Roaring bitmaps,
+Software: Practice and Experience 46 (5), 2016.[arXiv:1402.6407](http://arxiv.org/abs/1402.6407) This paper used data from http://lemire.me/data/realroaring2014.html
+- Daniel Lemire, Gregory Ssi-Yan-Kai, Owen Kaser, Consistently faster and smaller compressed bitmaps with Roaring, Software: Practice and Experience 46 (11), 2016. [arXiv:1603.06549](http://arxiv.org/abs/1603.06549)
+
+### Dependencies
+
+Dependencies are fetched automatically by giving the `-t` flag to `go get`.
+
+they include
+  - github.com/bits-and-blooms/bitset
+  - github.com/mschoch/smat
+  - github.com/glycerine/go-unsnap-stream
+  - github.com/philhofer/fwd
+  - github.com/jtolds/gls
+
+Note that the smat library requires Go 1.15 or better.
+
+#### Installation
+
+  - go get -t github.com/RoaringBitmap/roaring
+
+### Instructions for contributors
+
+Using bash or other common shells:
+```
+$ git clone git@github.com:RoaringBitmap/roaring.git
+$ export GO111MODULE=on 
+$ go mod tidy
+$ go test -v
+```
+
+### Example
+
+Here is a simplified but complete example:
+
+```go
+package main
+
+import (
+    "fmt"
+    "github.com/RoaringBitmap/roaring/v2"
+    "bytes"
+)
+
+
+func main() {
+    // example inspired by https://github.com/fzandona/goroar
+    fmt.Println("==roaring==")
+    rb1 := roaring.BitmapOf(1, 2, 3, 4, 5, 100, 1000)
+    fmt.Println(rb1.String())
+
+    rb2 := roaring.BitmapOf(3, 4, 1000)
+    fmt.Println(rb2.String())
+
+    rb3 := roaring.New()
+    fmt.Println(rb3.String())
+
+    fmt.Println("Cardinality: ", rb1.GetCardinality())
+
+    fmt.Println("Contains 3? ", rb1.Contains(3))
+
+    rb1.And(rb2)
+
+    rb3.Add(1)
+    rb3.Add(5)
+
+    rb3.Or(rb1)
+
+    // computes union of the three bitmaps in parallel using 4 workers  
+    roaring.ParOr(4, rb1, rb2, rb3)
+    // computes intersection of the three bitmaps in parallel using 4 workers  
+    roaring.ParAnd(4, rb1, rb2, rb3)
+
+
+    // prints 1, 3, 4, 5, 1000
+    i := rb3.Iterator()
+    for i.HasNext() {
+        fmt.Println(i.Next())
+    }
+    fmt.Println()
+
+    // next we include an example of serialization
+    buf := new(bytes.Buffer)
+    rb1.WriteTo(buf) // we omit error handling
+    newrb:= roaring.New()
+    newrb.ReadFrom(buf)
+    if rb1.Equals(newrb) {
+    	fmt.Println("I wrote the content to a byte stream and read it back.")
+    }
+    // you can iterate over bitmaps using ReverseIterator(), Iterator, ManyIterator()
+}
+```
+
+If you wish to use serialization and handle errors, you might want to
+consider the following sample of code:
+
+```go
+	rb := BitmapOf(1, 2, 3, 4, 5, 100, 1000)
+	buf := new(bytes.Buffer)
+	size,err:=rb.WriteTo(buf)
+	if err != nil {
+		fmt.Println("Failed writing") // return or panic
+	}
+	newrb:= New()
+	size,err=newrb.ReadFrom(buf)
+	if err != nil {
+		fmt.Println("Failed reading") // return or panic
+	}
+	// if buf is an untrusted source, you should validate the result
+	// (this adds a bit of complexity but it is necessary for security)
+	if newrb.Validate() != nil {
+		fmt.Println("Failed validation") // return or panic
+	}
+	if ! rb.Equals(newrb) {
+		fmt.Println("Cannot retrieve serialized version")
+	}
+```
+
+Given N integers in [0,x), then the serialized size in bytes of
+a Roaring bitmap should never exceed this bound:
+
+`` 8 + 9 * ((long)x+65535)/65536 + 2 * N ``
+
+That is, given a fixed overhead for the universe size (x), Roaring
+bitmaps never use more than 2 bytes per integer. You can call
+``BoundSerializedSizeInBytes`` for a more precise estimate.
+
+### 64-bit Roaring
+
+By default, roaring is used to stored unsigned 32-bit integers. However, we also offer
+an extension dedicated to 64-bit integers. It supports roughly the same functions:
+
+```go
+package main
+
+import (
+    "fmt"
+    "github.com/RoaringBitmap/roaring/v2/roaring64"
+    "bytes"
+)
+
+
+func main() {
+    // example inspired by https://github.com/fzandona/goroar
+    fmt.Println("==roaring64==")
+    rb1 := roaring64.BitmapOf(1, 2, 3, 4, 5, 100, 1000)
+    fmt.Println(rb1.String())
+
+    rb2 := roaring64.BitmapOf(3, 4, 1000)
+    fmt.Println(rb2.String())
+
+    rb3 := roaring64.New()
+    fmt.Println(rb3.String())
+
+    fmt.Println("Cardinality: ", rb1.GetCardinality())
+
+    fmt.Println("Contains 3? ", rb1.Contains(3))
+
+    rb1.And(rb2)
+
+    rb3.Add(1)
+    rb3.Add(5)
+
+    rb3.Or(rb1)
+
+
+
+    // prints 1, 3, 4, 5, 1000
+    i := rb3.Iterator()
+    for i.HasNext() {
+        fmt.Println(i.Next())
+    }
+    fmt.Println()
+
+    // next we include an example of serialization
+    buf := new(bytes.Buffer)
+    rb1.WriteTo(buf) // we omit error handling
+    newrb:= roaring64.New()
+    newrb.ReadFrom(buf)
+    if rb1.Equals(newrb) {
+    	fmt.Println("I wrote the content to a byte stream and read it back.")
+    }
+    // you can iterate over bitmaps using ReverseIterator(), Iterator, ManyIterator()
+}
+```
+
+Only the 32-bit roaring format is standard and cross-operable between Java, C++, C and Go. There is no guarantee that the 64-bit versions are compatible.
+
+### Documentation
+
+Current documentation is available at https://pkg.go.dev/github.com/RoaringBitmap/roaring and https://pkg.go.dev/github.com/RoaringBitmap/roaring/roaring64
+
+### Goroutine safety
+
+In general, it should not generally be considered safe to access
+the same bitmaps using different goroutines--they are left
+unsynchronized for performance. Should you want to access
+a Bitmap from more than one goroutine, you should
+provide synchronization. Typically this is done by using channels to pass
+the *Bitmap around (in Go style; so there is only ever one owner),
+or by using `sync.Mutex` to serialize operations on Bitmaps.
+
+### Coverage
+
+We test our software. For a report on our test coverage, see
+
+https://coveralls.io/github/RoaringBitmap/roaring?branch=master
+
+### Benchmark
+
+Type
+
+         go test -bench Benchmark -run -
+
+To run benchmarks on [Real Roaring Datasets](https://github.com/RoaringBitmap/real-roaring-datasets)
+run the following:
+
+```sh
+go get github.com/RoaringBitmap/real-roaring-datasets
+BENCH_REAL_DATA=1 go test -bench BenchmarkRealData -run -
+```
+
+### Iterative use
+
+You can use roaring with gore:
+
+- go install github.com/x-motemen/gore/cmd/gore@latest
+- Make sure that ``$GOPATH/bin`` is in your ``$PATH``.
+
+```go
+$ gore
+gore version 0.2.6  :help for help
+gore> :import github.com/RoaringBitmap/roaring
+gore> x:=roaring.New()
+gore> x.Add(1)
+gore> x.String()
+"{1}"
+```
+
+
+### Fuzzy testing
+
+You can help us test further the library with fuzzy testing:
+
+         go get github.com/dvyukov/go-fuzz/go-fuzz
+         go get github.com/dvyukov/go-fuzz/go-fuzz-build
+         go test -tags=gofuzz -run=TestGenerateSmatCorpus
+         go-fuzz-build github.com/RoaringBitmap/roaring
+         go-fuzz -bin=./roaring-fuzz.zip -workdir=workdir/ -timeout=200 -func FuzzSmat
+
+Let it run, and if the # of crashers is > 0, check out the reports in
+the workdir where you should be able to find the panic goroutine stack
+traces.
+
+You may also replace `-func FuzzSmat`  by `-func FuzzSerializationBuffer` or `-func FuzzSerializationStream`.
+
+### Alternative in Go
+
+There is a Go version wrapping the C/C++ implementation https://github.com/RoaringBitmap/gocroaring
+
+For an alternative implementation in Go, see https://github.com/fzandona/goroar
+The two versions were written independently.
+
+
+### Mailing list/discussion group
+
+https://groups.google.com/g/roaring-bitmaps
+
+## Stars
+
+
+[![Star History Chart](https://api.star-history.com/svg?repos=RoaringBitmap/roaring&type=Date)](https://www.star-history.com/#RoaringBitmap/roaring&Date)
+
+### Further reading
+
+<p>Mastering Programming: From Testing to Performance in Go</p>
+<div><a href="https://www.amazon.com/dp/B0FMPGSWR5"><img style="margin-left: auto; margin-right: auto;" src="https://m.media-amazon.com/images/I/61feneHS7kL._SL1499_.jpg" alt="" width="250px" /></a></div>

vendor/github.com/RoaringBitmap/roaring/v2/clz.go

@@ -0,0 +1,19 @@
+//go:build go1.9
+// +build go1.9
+
+// "go1.9", from Go version 1.9 onward
+// See https://golang.org/pkg/go/build/#hdr-Build_Constraints
+
+package roaring
+
+import "math/bits"
+
+// countLeadingOnes returns the number of leading zeros bits in x; the result is 64 for x == 0.
+func countLeadingZeros(x uint64) int {
+	return bits.LeadingZeros64(x)
+}
+
+// countLeadingOnes returns the number of leading ones bits in x; the result is 0 for x == 0.
+func countLeadingOnes(x uint64) int {
+	return bits.LeadingZeros64(^x)
+}

vendor/github.com/RoaringBitmap/roaring/v2/clz_compat.go

@@ -0,0 +1,37 @@
+//go:build !go1.9
+// +build !go1.9
+
+package roaring
+
+// LeadingZeroBits returns the number of consecutive most significant zero
+// bits of x.
+func countLeadingZeros(i uint64) int {
+	if i == 0 {
+		return 64
+	}
+	n := 1
+	x := uint32(i >> 32)
+	if x == 0 {
+		n += 32
+		x = uint32(i)
+	}
+	if (x >> 16) == 0 {
+		n += 16
+		x <<= 16
+	}
+	if (x >> 24) == 0 {
+		n += 8
+		x <<= 8
+	}
+	if x>>28 == 0 {
+		n += 4
+		x <<= 4
+	}
+	if x>>30 == 0 {
+		n += 2
+		x <<= 2
+
+	}
+	n -= int(x >> 31)
+	return n
+}

vendor/github.com/RoaringBitmap/roaring/v2/ctz.go

@@ -0,0 +1,21 @@
+//go:build go1.9
+// +build go1.9
+
+// "go1.9", from Go version 1.9 onward
+// See https://golang.org/pkg/go/build/#hdr-Build_Constraints
+
+package roaring
+
+import "math/bits"
+
+// countTrailingZeros returns the number of trailing zero bits in x; the result is 64 for x == 0.
+func countTrailingZeros(x uint64) int {
+	return bits.TrailingZeros64(x)
+}
+
+// countTrailingOnes returns the number of trailing one bits in x
+// The result is 64 for x == 9,223,372,036,854,775,807.
+// The result is 0 for x == 0.
+func countTrailingOnes(x uint64) int {
+	return bits.TrailingZeros64(^x)
+}

vendor/github.com/RoaringBitmap/roaring/v2/ctz_compat.go

@@ -0,0 +1,72 @@
+//go:build !go1.9
+// +build !go1.9
+
+package roaring
+
+// Reuse of portions of go/src/math/big standard lib code
+// under this license:
+/*
+Copyright (c) 2009 The Go Authors. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   * Redistributions of source code must retain the above copyright
+notice, this list of conditions and the following disclaimer.
+   * Redistributions in binary form must reproduce the above
+copyright notice, this list of conditions and the following disclaimer
+in the documentation and/or other materials provided with the
+distribution.
+   * Neither the name of Google Inc. nor the names of its
+contributors may be used to endorse or promote products derived from
+this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+const deBruijn32 = 0x077CB531
+
+var deBruijn32Lookup = []byte{
+	0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8,
+	31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9,
+}
+
+const deBruijn64 = 0x03f79d71b4ca8b09
+
+var deBruijn64Lookup = []byte{
+	0, 1, 56, 2, 57, 49, 28, 3, 61, 58, 42, 50, 38, 29, 17, 4,
+	62, 47, 59, 36, 45, 43, 51, 22, 53, 39, 33, 30, 24, 18, 12, 5,
+	63, 55, 48, 27, 60, 41, 37, 16, 46, 35, 44, 21, 52, 32, 23, 11,
+	54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6,
+}
+
+// trailingZeroBits returns the number of consecutive least significant zero
+// bits of x.
+func countTrailingZeros(x uint64) int {
+	// x & -x leaves only the right-most bit set in the word. Let k be the
+	// index of that bit. Since only a single bit is set, the value is two
+	// to the power of k. Multiplying by a power of two is equivalent to
+	// left shifting, in this case by k bits. The de Bruijn constant is
+	// such that all six bit, consecutive substrings are distinct.
+	// Therefore, if we have a left shifted version of this constant we can
+	// find by how many bits it was shifted by looking at which six bit
+	// substring ended up at the top of the word.
+	// (Knuth, volume 4, section 7.3.1)
+	if x == 0 {
+		// We have to special case 0; the fomula
+		// below doesn't work for 0.
+		return 64
+	}
+	return int(deBruijn64Lookup[((x&-x)*(deBruijn64))>>58])
+}

vendor/github.com/RoaringBitmap/roaring/v2/fastaggregation.go

@@ -0,0 +1,313 @@
+package roaring
+
+import (
+	"container/heap"
+)
+
+// Or function that requires repairAfterLazy
+func lazyOR(x1, x2 *Bitmap) *Bitmap {
+	answer := NewBitmap()
+	pos1 := 0
+	pos2 := 0
+	length1 := x1.highlowcontainer.size()
+	length2 := x2.highlowcontainer.size()
+main:
+	for (pos1 < length1) && (pos2 < length2) {
+		s1 := x1.highlowcontainer.getKeyAtIndex(pos1)
+		s2 := x2.highlowcontainer.getKeyAtIndex(pos2)
+
+		for {
+			if s1 < s2 {
+				answer.highlowcontainer.appendCopy(x1.highlowcontainer, pos1)
+				pos1++
+				if pos1 == length1 {
+					break main
+				}
+				s1 = x1.highlowcontainer.getKeyAtIndex(pos1)
+			} else if s1 > s2 {
+				answer.highlowcontainer.appendCopy(x2.highlowcontainer, pos2)
+				pos2++
+				if pos2 == length2 {
+					break main
+				}
+				s2 = x2.highlowcontainer.getKeyAtIndex(pos2)
+			} else {
+				c1 := x1.highlowcontainer.getContainerAtIndex(pos1)
+				answer.highlowcontainer.appendContainer(s1, c1.lazyOR(x2.highlowcontainer.getContainerAtIndex(pos2)), false)
+				pos1++
+				pos2++
+				if (pos1 == length1) || (pos2 == length2) {
+					break main
+				}
+				s1 = x1.highlowcontainer.getKeyAtIndex(pos1)
+				s2 = x2.highlowcontainer.getKeyAtIndex(pos2)
+			}
+		}
+	}
+	if pos1 == length1 {
+		answer.highlowcontainer.appendCopyMany(x2.highlowcontainer, pos2, length2)
+	} else if pos2 == length2 {
+		answer.highlowcontainer.appendCopyMany(x1.highlowcontainer, pos1, length1)
+	}
+	return answer
+}
+
+// In-place Or function that requires repairAfterLazy
+func (x1 *Bitmap) lazyOR(x2 *Bitmap) *Bitmap {
+	pos1 := 0
+	pos2 := 0
+	length1 := x1.highlowcontainer.size()
+	length2 := x2.highlowcontainer.size()
+main:
+	for (pos1 < length1) && (pos2 < length2) {
+		s1 := x1.highlowcontainer.getKeyAtIndex(pos1)
+		s2 := x2.highlowcontainer.getKeyAtIndex(pos2)
+
+		for {
+			if s1 < s2 {
+				pos1++
+				if pos1 == length1 {
+					break main
+				}
+				s1 = x1.highlowcontainer.getKeyAtIndex(pos1)
+			} else if s1 > s2 {
+				x1.highlowcontainer.insertNewKeyValueAt(pos1, s2, x2.highlowcontainer.getContainerAtIndex(pos2).clone())
+				pos2++
+				pos1++
+				length1++
+				if pos2 == length2 {
+					break main
+				}
+				s2 = x2.highlowcontainer.getKeyAtIndex(pos2)
+			} else {
+				c1 := x1.highlowcontainer.getWritableContainerAtIndex(pos1)
+				x1.highlowcontainer.containers[pos1] = c1.lazyIOR(x2.highlowcontainer.getContainerAtIndex(pos2))
+				x1.highlowcontainer.needCopyOnWrite[pos1] = false
+				pos1++
+				pos2++
+				if (pos1 == length1) || (pos2 == length2) {
+					break main
+				}
+				s1 = x1.highlowcontainer.getKeyAtIndex(pos1)
+				s2 = x2.highlowcontainer.getKeyAtIndex(pos2)
+			}
+		}
+	}
+	if pos1 == length1 {
+		x1.highlowcontainer.appendCopyMany(x2.highlowcontainer, pos2, length2)
+	}
+	return x1
+}
+
+// to be called after lazy aggregates
+func (x1 *Bitmap) repairAfterLazy() {
+	for pos := 0; pos < x1.highlowcontainer.size(); pos++ {
+		c := x1.highlowcontainer.getContainerAtIndex(pos)
+		switch c.(type) {
+		case *bitmapContainer:
+			if c.(*bitmapContainer).cardinality == invalidCardinality {
+				c = x1.highlowcontainer.getWritableContainerAtIndex(pos)
+				c.(*bitmapContainer).computeCardinality()
+				if c.(*bitmapContainer).getCardinality() <= arrayDefaultMaxSize {
+					x1.highlowcontainer.setContainerAtIndex(pos, c.(*bitmapContainer).toArrayContainer())
+				} else if c.(*bitmapContainer).isFull() {
+					x1.highlowcontainer.setContainerAtIndex(pos, newRunContainer16Range(0, MaxUint16))
+				}
+			}
+		}
+	}
+}
+
+// FastAnd computes the intersection between many bitmaps quickly
+// Compared to the And function, it can take many bitmaps as input, thus saving the trouble
+// of manually calling "And" many times.
+//
+// Performance hints: if you have very large and tiny bitmaps,
+// it may be beneficial performance-wise to put a tiny bitmap
+// in first position.
+func FastAnd(bitmaps ...*Bitmap) *Bitmap {
+	if len(bitmaps) == 0 {
+		return NewBitmap()
+	} else if len(bitmaps) == 1 {
+		return bitmaps[0].Clone()
+	}
+	answer := And(bitmaps[0], bitmaps[1])
+	for _, bm := range bitmaps[2:] {
+		answer.And(bm)
+	}
+	return answer
+}
+
+// FastOr computes the union between many bitmaps quickly, as opposed to having to call Or repeatedly.
+// It might also be faster than calling Or repeatedly.
+func FastOr(bitmaps ...*Bitmap) *Bitmap {
+	if len(bitmaps) == 0 {
+		return NewBitmap()
+	} else if len(bitmaps) == 1 {
+		return bitmaps[0].Clone()
+	}
+	answer := lazyOR(bitmaps[0], bitmaps[1])
+	for _, bm := range bitmaps[2:] {
+		answer = answer.lazyOR(bm)
+	}
+	// here is where repairAfterLazy is called.
+	answer.repairAfterLazy()
+	return answer
+}
+
+// HeapOr computes the union between many bitmaps quickly using a heap.
+// It might be faster than calling Or repeatedly.
+func HeapOr(bitmaps ...*Bitmap) *Bitmap {
+	if len(bitmaps) == 0 {
+		return NewBitmap()
+	}
+	// TODO:  for better speed, we could do the operation lazily, see Java implementation
+	pq := make(priorityQueue, len(bitmaps))
+	for i, bm := range bitmaps {
+		pq[i] = &item{bm, i}
+	}
+	heap.Init(&pq)
+
+	for pq.Len() > 1 {
+		x1 := heap.Pop(&pq).(*item)
+		x2 := heap.Pop(&pq).(*item)
+		heap.Push(&pq, &item{Or(x1.value, x2.value), 0})
+	}
+	return heap.Pop(&pq).(*item).value
+}
+
+// HeapXor computes the symmetric difference between many bitmaps quickly (as opposed to calling Xor repeated).
+// Internally, this function uses a heap.
+// It might be faster than calling Xor repeatedly.
+func HeapXor(bitmaps ...*Bitmap) *Bitmap {
+	if len(bitmaps) == 0 {
+		return NewBitmap()
+	}
+
+	pq := make(priorityQueue, len(bitmaps))
+	for i, bm := range bitmaps {
+		pq[i] = &item{bm, i}
+	}
+	heap.Init(&pq)
+
+	for pq.Len() > 1 {
+		x1 := heap.Pop(&pq).(*item)
+		x2 := heap.Pop(&pq).(*item)
+		heap.Push(&pq, &item{Xor(x1.value, x2.value), 0})
+	}
+	return heap.Pop(&pq).(*item).value
+}
+
+// AndAny provides a result equivalent to x1.And(FastOr(bitmaps)).
+// It's optimized to minimize allocations. It also might be faster than separate calls.
+func (x1 *Bitmap) AndAny(bitmaps ...*Bitmap) {
+	if len(bitmaps) == 0 {
+		return
+	} else if len(bitmaps) == 1 {
+		x1.And(bitmaps[0])
+		return
+	}
+
+	type withPos struct {
+		bitmap *roaringArray
+		pos    int
+		key    uint16
+	}
+	filters := make([]withPos, 0, len(bitmaps))
+
+	for _, b := range bitmaps {
+		if b.highlowcontainer.size() > 0 {
+			filters = append(filters, withPos{
+				bitmap: &b.highlowcontainer,
+				pos:    0,
+				key:    b.highlowcontainer.getKeyAtIndex(0),
+			})
+		}
+	}
+
+	basePos := 0
+	intersections := 0
+	keyContainers := make([]container, 0, len(filters))
+	var (
+		tmpArray   *arrayContainer
+		tmpBitmap  *bitmapContainer
+		minNextKey uint16
+	)
+
+	for basePos < x1.highlowcontainer.size() && len(filters) > 0 {
+		baseKey := x1.highlowcontainer.getKeyAtIndex(basePos)
+
+		// accumulate containers for current key, find next minimal key in filters
+		// and exclude filters that do not have related values anymore
+		i := 0
+		maxPossibleOr := 0
+		minNextKey = MaxUint16
+		for _, f := range filters {
+			if f.key < baseKey {
+				f.pos = f.bitmap.advanceUntil(baseKey, f.pos)
+				if f.pos == f.bitmap.size() {
+					continue
+				}
+				f.key = f.bitmap.getKeyAtIndex(f.pos)
+			}
+
+			if f.key == baseKey {
+				cont := f.bitmap.getContainerAtIndex(f.pos)
+				keyContainers = append(keyContainers, cont)
+				maxPossibleOr += cont.getCardinality()
+
+				f.pos++
+				if f.pos == f.bitmap.size() {
+					continue
+				}
+				f.key = f.bitmap.getKeyAtIndex(f.pos)
+			}
+
+			minNextKey = minOfUint16(minNextKey, f.key)
+			filters[i] = f
+			i++
+		}
+		filters = filters[:i]
+
+		if len(keyContainers) == 0 {
+			basePos = x1.highlowcontainer.advanceUntil(minNextKey, basePos)
+			continue
+		}
+
+		var ored container
+
+		if len(keyContainers) == 1 {
+			ored = keyContainers[0]
+		} else {
+			//TODO: special case for run containers?
+			if maxPossibleOr > arrayDefaultMaxSize {
+				if tmpBitmap == nil {
+					tmpBitmap = newBitmapContainer()
+				}
+				tmpBitmap.resetTo(keyContainers[0])
+				ored = tmpBitmap
+			} else {
+				if tmpArray == nil {
+					tmpArray = newArrayContainerCapacity(maxPossibleOr)
+				}
+				tmpArray.realloc(maxPossibleOr)
+				tmpArray.resetTo(keyContainers[0])
+				ored = tmpArray
+			}
+			for _, c := range keyContainers[1:] {
+				ored = ored.ior(c)
+			}
+		}
+
+		result := x1.highlowcontainer.getWritableContainerAtIndex(basePos).iand(ored)
+		if !result.isEmpty() {
+			x1.highlowcontainer.replaceKeyAndContainerAtIndex(intersections, baseKey, result, false)
+			intersections++
+		}
+
+		keyContainers = keyContainers[:0]
+		basePos = x1.highlowcontainer.advanceUntil(minNextKey, basePos)
+	}
+
+	x1.highlowcontainer.resize(intersections)
+}

vendor/github.com/RoaringBitmap/roaring/v2/internal/byte_input.go

@@ -0,0 +1,215 @@
+package internal
+
+import (
+	"encoding/binary"
+	"io"
+)
+
+// ByteInput typed interface around io.Reader or raw bytes
+type ByteInput interface {
+	// Next returns a slice containing the next n bytes from the buffer,
+	// advancing the buffer as if the bytes had been returned by Read.
+	Next(n int) ([]byte, error)
+	// NextReturnsSafeSlice returns true if Next() returns a safe slice as opposed
+	// to a slice that points to an underlying buffer possibly owned by another system.
+	// When NextReturnsSafeSlice returns false, the result from Next() should be copied
+	// before it is modified (i.e., it is immutable).
+	NextReturnsSafeSlice() bool
+	// ReadUInt32 reads uint32 with LittleEndian order
+	ReadUInt32() (uint32, error)
+	// ReadUInt16 reads uint16 with LittleEndian order
+	ReadUInt16() (uint16, error)
+	// GetReadBytes returns read bytes
+	GetReadBytes() int64
+	// SkipBytes skips exactly n bytes
+	SkipBytes(n int) error
+}
+
+// NewByteInputFromReader creates reader wrapper
+func NewByteInputFromReader(reader io.Reader) ByteInput {
+	return &ByteInputAdapter{
+		r:         reader,
+		readBytes: 0,
+	}
+}
+
+// NewByteInput creates raw bytes wrapper
+func NewByteInput(buf []byte) ByteInput {
+	return &ByteBuffer{
+		buf: buf,
+		off: 0,
+	}
+}
+
+// ByteBuffer raw bytes wrapper
+type ByteBuffer struct {
+	buf []byte
+	off int
+}
+
+// NewByteBuffer creates a new ByteBuffer.
+func NewByteBuffer(buf []byte) *ByteBuffer {
+	return &ByteBuffer{
+		buf: buf,
+	}
+}
+
+var _ io.Reader = (*ByteBuffer)(nil)
+
+// Read implements io.Reader.
+func (b *ByteBuffer) Read(p []byte) (int, error) {
+	data, err := b.Next(len(p))
+	if err != nil {
+		return 0, err
+	}
+	copy(p, data)
+	return len(data), nil
+}
+
+// Next returns a slice containing the next n bytes from the reader
+// If there are fewer bytes than the given n, io.ErrUnexpectedEOF will be returned
+func (b *ByteBuffer) Next(n int) ([]byte, error) {
+	m := len(b.buf) - b.off
+
+	if n > m {
+		return nil, io.ErrUnexpectedEOF
+	}
+
+	data := b.buf[b.off : b.off+n]
+	b.off += n
+
+	return data, nil
+}
+
+// NextReturnsSafeSlice returns false since ByteBuffer might hold
+// an array owned by some other systems.
+func (b *ByteBuffer) NextReturnsSafeSlice() bool {
+	return false
+}
+
+// ReadUInt32 reads uint32 with LittleEndian order
+func (b *ByteBuffer) ReadUInt32() (uint32, error) {
+	if len(b.buf)-b.off < 4 {
+		return 0, io.ErrUnexpectedEOF
+	}
+
+	v := binary.LittleEndian.Uint32(b.buf[b.off:])
+	b.off += 4
+
+	return v, nil
+}
+
+// ReadUInt16 reads uint16 with LittleEndian order
+func (b *ByteBuffer) ReadUInt16() (uint16, error) {
+	if len(b.buf)-b.off < 2 {
+		return 0, io.ErrUnexpectedEOF
+	}
+
+	v := binary.LittleEndian.Uint16(b.buf[b.off:])
+	b.off += 2
+
+	return v, nil
+}
+
+// GetReadBytes returns read bytes
+func (b *ByteBuffer) GetReadBytes() int64 {
+	return int64(b.off)
+}
+
+// SkipBytes skips exactly n bytes
+func (b *ByteBuffer) SkipBytes(n int) error {
+	m := len(b.buf) - b.off
+
+	if n > m {
+		return io.ErrUnexpectedEOF
+	}
+
+	b.off += n
+
+	return nil
+}
+
+// Reset resets the given buffer with a new byte slice
+func (b *ByteBuffer) Reset(buf []byte) {
+	b.buf = buf
+	b.off = 0
+}
+
+// ByteInputAdapter reader wrapper
+type ByteInputAdapter struct {
+	r         io.Reader
+	readBytes int
+	buf       [4]byte
+}
+
+var _ io.Reader = (*ByteInputAdapter)(nil)
+
+// Read implements io.Reader.
+func (b *ByteInputAdapter) Read(buf []byte) (int, error) {
+	m, err := io.ReadAtLeast(b.r, buf, len(buf))
+	b.readBytes += m
+
+	if err != nil {
+		return 0, err
+	}
+
+	return m, nil
+}
+
+// Next returns a slice containing the next n bytes from the buffer,
+// advancing the buffer as if the bytes had been returned by Read.
+func (b *ByteInputAdapter) Next(n int) ([]byte, error) {
+	buf := make([]byte, n)
+	_, err := b.Read(buf)
+
+	if err != nil {
+		return nil, err
+	}
+	return buf, nil
+}
+
+// NextReturnsSafeSlice returns true since ByteInputAdapter always returns a slice
+// allocated with make([]byte, ...)
+func (b *ByteInputAdapter) NextReturnsSafeSlice() bool {
+	return true
+}
+
+// ReadUInt32 reads uint32 with LittleEndian order
+func (b *ByteInputAdapter) ReadUInt32() (uint32, error) {
+	buf := b.buf[:4]
+	_, err := b.Read(buf)
+	if err != nil {
+		return 0, err
+	}
+
+	return binary.LittleEndian.Uint32(buf), nil
+}
+
+// ReadUInt16 reads uint16 with LittleEndian order
+func (b *ByteInputAdapter) ReadUInt16() (uint16, error) {
+	buf := b.buf[:2]
+	_, err := b.Read(buf)
+	if err != nil {
+		return 0, err
+	}
+
+	return binary.LittleEndian.Uint16(buf), nil
+}
+
+// GetReadBytes returns read bytes
+func (b *ByteInputAdapter) GetReadBytes() int64 {
+	return int64(b.readBytes)
+}
+
+// SkipBytes skips exactly n bytes
+func (b *ByteInputAdapter) SkipBytes(n int) error {
+	_, err := b.Next(n)
+
+	return err
+}
+
+// Reset resets the given buffer with a new stream
+func (b *ByteInputAdapter) Reset(stream io.Reader) {
+	b.r = stream
+	b.readBytes = 0
+}

vendor/github.com/RoaringBitmap/roaring/v2/internal/pools.go

@@ -0,0 +1,21 @@
+package internal
+
+import (
+	"sync"
+)
+
+var (
+	// ByteInputAdapterPool shared pool
+	ByteInputAdapterPool = sync.Pool{
+		New: func() interface{} {
+			return &ByteInputAdapter{}
+		},
+	}
+
+	// ByteBufferPool shared pool
+	ByteBufferPool = sync.Pool{
+		New: func() interface{} {
+			return &ByteBuffer{}
+		},
+	}
+)

vendor/github.com/RoaringBitmap/roaring/v2/iter.go

@@ -0,0 +1,44 @@
+package roaring
+
+import "iter"
+
+// Values returns an iterator that yields the elements of the bitmap in
+// increasing order. Starting with Go 1.23, users can use a for loop to iterate
+// over it.
+func Values(b *Bitmap) iter.Seq[uint32] {
+	return func(yield func(uint32) bool) {
+		it := b.Iterator()
+		for it.HasNext() {
+			if !yield(it.Next()) {
+				return
+			}
+		}
+	}
+}
+
+// Backward returns an iterator that yields the elements of the bitmap in
+// decreasing order. Starting with Go 1.23, users can use a for loop to iterate
+// over it.
+func Backward(b *Bitmap) iter.Seq[uint32] {
+	return func(yield func(uint32) bool) {
+		it := b.ReverseIterator()
+		for it.HasNext() {
+			if !yield(it.Next()) {
+				return
+			}
+		}
+	}
+}
+
+// Unset creates an iterator that yields values in the range [min, max] that are NOT contained in the bitmap.
+// The iterator becomes invalid if the bitmap is modified (e.g., with Add or Remove).
+func Unset(b *Bitmap, min, max uint32) iter.Seq[uint32] {
+	return func(yield func(uint32) bool) {
+		it := b.UnsetIterator(uint64(min), uint64(max)+1)
+		for it.HasNext() {
+			if !yield(it.Next()) {
+				return
+			}
+		}
+	}
+}

vendor/github.com/RoaringBitmap/roaring/v2/manyiterator.go

@@ -0,0 +1,32 @@
+package roaring
+
+type manyIterable interface {
+	nextMany(hs uint32, buf []uint32) int
+	nextMany64(hs uint64, buf []uint64) int
+}
+
+func (si *shortIterator) nextMany(hs uint32, buf []uint32) int {
+	n := 0
+	l := si.loc
+	s := si.slice
+	for n < len(buf) && l < len(s) {
+		buf[n] = uint32(s[l]) | hs
+		l++
+		n++
+	}
+	si.loc = l
+	return n
+}
+
+func (si *shortIterator) nextMany64(hs uint64, buf []uint64) int {
+	n := 0
+	l := si.loc
+	s := si.slice
+	for n < len(buf) && l < len(s) {
+		buf[n] = uint64(s[l]) | hs
+		l++
+		n++
+	}
+	si.loc = l
+	return n
+}

vendor/github.com/RoaringBitmap/roaring/v2/parallel.go

@@ -0,0 +1,612 @@
+package roaring
+
+import (
+	"container/heap"
+	"fmt"
+	"runtime"
+	"sync"
+)
+
+var defaultWorkerCount = runtime.NumCPU()
+
+type bitmapContainerKey struct {
+	key    uint16
+	idx    int
+	bitmap *Bitmap
+}
+
+type multipleContainers struct {
+	key        uint16
+	containers []container
+	idx        int
+}
+
+type keyedContainer struct {
+	key       uint16
+	container container
+	idx       int
+}
+
+type bitmapContainerHeap []bitmapContainerKey
+
+func (h bitmapContainerHeap) Len() int           { return len(h) }
+func (h bitmapContainerHeap) Less(i, j int) bool { return h[i].key < h[j].key }
+func (h bitmapContainerHeap) Swap(i, j int)      { h[i], h[j] = h[j], h[i] }
+
+func (h *bitmapContainerHeap) Push(x interface{}) {
+	// Push and Pop use pointer receivers because they modify the slice's length,
+	// not just its contents.
+	*h = append(*h, x.(bitmapContainerKey))
+}
+
+func (h *bitmapContainerHeap) Pop() interface{} {
+	old := *h
+	n := len(old)
+	x := old[n-1]
+	*h = old[0 : n-1]
+	return x
+}
+
+func (h bitmapContainerHeap) Peek() bitmapContainerKey {
+	return h[0]
+}
+
+func (h *bitmapContainerHeap) popIncrementing() (key uint16, container container) {
+	k := h.Peek()
+	key = k.key
+	container = k.bitmap.highlowcontainer.containers[k.idx]
+
+	newIdx := k.idx + 1
+	if newIdx < k.bitmap.highlowcontainer.size() {
+		k = bitmapContainerKey{
+			k.bitmap.highlowcontainer.keys[newIdx],
+			newIdx,
+			k.bitmap,
+		}
+		(*h)[0] = k
+		heap.Fix(h, 0)
+	} else {
+		heap.Pop(h)
+	}
+
+	return
+}
+
+func (h *bitmapContainerHeap) Next(containers []container) multipleContainers {
+	if h.Len() == 0 {
+		return multipleContainers{}
+	}
+
+	key, container := h.popIncrementing()
+	containers = append(containers, container)
+
+	for h.Len() > 0 && key == h.Peek().key {
+		_, container = h.popIncrementing()
+		containers = append(containers, container)
+	}
+
+	return multipleContainers{
+		key,
+		containers,
+		-1,
+	}
+}
+
+func newBitmapContainerHeap(bitmaps ...*Bitmap) bitmapContainerHeap {
+	// Initialize heap
+	var h bitmapContainerHeap = make([]bitmapContainerKey, 0, len(bitmaps))
+	for _, bitmap := range bitmaps {
+		if !bitmap.IsEmpty() {
+			key := bitmapContainerKey{
+				bitmap.highlowcontainer.keys[0],
+				0,
+				bitmap,
+			}
+			h = append(h, key)
+		}
+	}
+
+	heap.Init(&h)
+
+	return h
+}
+
+func repairAfterLazy(c container) container {
+	switch t := c.(type) {
+	case *bitmapContainer:
+		if t.cardinality == invalidCardinality {
+			t.computeCardinality()
+		}
+
+		if t.getCardinality() <= arrayDefaultMaxSize {
+			return t.toArrayContainer()
+		} else if c.(*bitmapContainer).isFull() {
+			return newRunContainer16Range(0, MaxUint16)
+		}
+	}
+
+	return c
+}
+
+func toBitmapContainer(c container) container {
+	switch t := c.(type) {
+	case *arrayContainer:
+		return t.toBitmapContainer()
+	case *runContainer16:
+		if !t.isFull() {
+			return t.toBitmapContainer()
+		}
+	}
+	return c
+}
+
+func appenderRoutine(bitmapChan chan<- *Bitmap, resultChan <-chan keyedContainer, expectedKeysChan <-chan int) {
+	expectedKeys := -1
+	appendedKeys := 0
+	var keys []uint16
+	var containers []container
+	for appendedKeys != expectedKeys {
+		select {
+		case item := <-resultChan:
+			if len(keys) <= item.idx {
+				keys = append(keys, make([]uint16, item.idx-len(keys)+1)...)
+				containers = append(containers, make([]container, item.idx-len(containers)+1)...)
+			}
+			keys[item.idx] = item.key
+			containers[item.idx] = item.container
+
+			appendedKeys++
+		case msg := <-expectedKeysChan:
+			expectedKeys = msg
+		}
+	}
+	answer := &Bitmap{
+		roaringArray{
+			make([]uint16, 0, expectedKeys),
+			make([]container, 0, expectedKeys),
+			make([]bool, 0, expectedKeys),
+			false,
+		},
+	}
+	for i := range keys {
+		if containers[i] != nil { // in case a resulting container was empty, see ParAnd function
+			answer.highlowcontainer.appendContainer(keys[i], containers[i], false)
+		}
+	}
+
+	bitmapChan <- answer
+}
+
+// ParHeapOr computes the union (OR) of all provided bitmaps in parallel,
+// where the parameter "parallelism" determines how many workers are to be used
+// (if it is set to 0, a default number of workers is chosen)
+// ParHeapOr uses a heap to compute the union. For rare cases it might be faster than ParOr
+func ParHeapOr(parallelism int, bitmaps ...*Bitmap) *Bitmap {
+
+	bitmapCount := len(bitmaps)
+	if bitmapCount == 0 {
+		return NewBitmap()
+	} else if bitmapCount == 1 {
+		return bitmaps[0].Clone()
+	}
+
+	if parallelism == 0 {
+		parallelism = defaultWorkerCount
+	}
+
+	h := newBitmapContainerHeap(bitmaps...)
+
+	bitmapChan := make(chan *Bitmap)
+	inputChan := make(chan multipleContainers, 128)
+	resultChan := make(chan keyedContainer, 32)
+	expectedKeysChan := make(chan int)
+
+	pool := sync.Pool{
+		New: func() interface{} {
+			return make([]container, 0, len(bitmaps))
+		},
+	}
+
+	orFunc := func() {
+		// Assumes only structs with >=2 containers are passed
+		for input := range inputChan {
+			c := toBitmapContainer(input.containers[0]).lazyOR(input.containers[1])
+			for _, next := range input.containers[2:] {
+				c = c.lazyIOR(next)
+			}
+			c = repairAfterLazy(c)
+			kx := keyedContainer{
+				input.key,
+				c,
+				input.idx,
+			}
+			resultChan <- kx
+			pool.Put(input.containers[:0])
+		}
+	}
+
+	go appenderRoutine(bitmapChan, resultChan, expectedKeysChan)
+
+	for i := 0; i < parallelism; i++ {
+		go orFunc()
+	}
+
+	idx := 0
+	for h.Len() > 0 {
+		ck := h.Next(pool.Get().([]container))
+		if len(ck.containers) == 1 {
+			resultChan <- keyedContainer{
+				ck.key,
+				ck.containers[0],
+				idx,
+			}
+			pool.Put(ck.containers[:0])
+		} else {
+			ck.idx = idx
+			inputChan <- ck
+		}
+		idx++
+	}
+	expectedKeysChan <- idx
+
+	bitmap := <-bitmapChan
+
+	close(inputChan)
+	close(resultChan)
+	close(expectedKeysChan)
+
+	return bitmap
+}
+
+// ParAnd computes the intersection (AND) of all provided bitmaps in parallel,
+// where the parameter "parallelism" determines how many workers are to be used
+// (if it is set to 0, a default number of workers is chosen)
+func ParAnd(parallelism int, bitmaps ...*Bitmap) *Bitmap {
+	bitmapCount := len(bitmaps)
+	if bitmapCount == 0 {
+		return NewBitmap()
+	} else if bitmapCount == 1 {
+		return bitmaps[0].Clone()
+	}
+
+	if parallelism == 0 {
+		parallelism = defaultWorkerCount
+	}
+
+	h := newBitmapContainerHeap(bitmaps...)
+
+	bitmapChan := make(chan *Bitmap)
+	inputChan := make(chan multipleContainers, 128)
+	resultChan := make(chan keyedContainer, 32)
+	expectedKeysChan := make(chan int)
+
+	andFunc := func() {
+		// Assumes only structs with >=2 containers are passed
+		for input := range inputChan {
+			c := input.containers[0].and(input.containers[1])
+			for _, next := range input.containers[2:] {
+				if c.isEmpty() {
+					break
+				}
+				c = c.iand(next)
+			}
+
+			// Send a nil explicitly if the result of the intersection is an empty container
+			if c.isEmpty() {
+				c = nil
+			}
+
+			kx := keyedContainer{
+				input.key,
+				c,
+				input.idx,
+			}
+			resultChan <- kx
+		}
+	}
+
+	go appenderRoutine(bitmapChan, resultChan, expectedKeysChan)
+
+	for i := 0; i < parallelism; i++ {
+		go andFunc()
+	}
+
+	idx := 0
+	for h.Len() > 0 {
+		ck := h.Next(make([]container, 0, 4))
+		if len(ck.containers) == bitmapCount {
+			ck.idx = idx
+			inputChan <- ck
+			idx++
+		}
+	}
+	expectedKeysChan <- idx
+
+	bitmap := <-bitmapChan
+
+	close(inputChan)
+	close(resultChan)
+	close(expectedKeysChan)
+
+	return bitmap
+}
+
+// ParOr computes the union (OR) of all provided bitmaps in parallel,
+// where the parameter "parallelism" determines how many workers are to be used
+// (if it is set to 0, a default number of workers is chosen)
+func ParOr(parallelism int, bitmaps ...*Bitmap) *Bitmap {
+	var lKey uint16 = MaxUint16
+	var hKey uint16
+
+	bitmapsFiltered := bitmaps[:0]
+	for _, b := range bitmaps {
+		if !b.IsEmpty() {
+			bitmapsFiltered = append(bitmapsFiltered, b)
+		}
+	}
+	bitmaps = bitmapsFiltered
+
+	for _, b := range bitmaps {
+		lKey = minOfUint16(lKey, b.highlowcontainer.keys[0])
+		hKey = maxOfUint16(hKey, b.highlowcontainer.keys[b.highlowcontainer.size()-1])
+	}
+
+	if lKey == MaxUint16 && hKey == 0 {
+		return New()
+	} else if len(bitmaps) == 1 {
+		return bitmaps[0].Clone()
+	}
+
+	keyRange := int(hKey) - int(lKey) + 1
+	if keyRange == 1 {
+		// revert to FastOr. Since the key range is 0
+		// no container-level aggregation parallelism is achievable
+		return FastOr(bitmaps...)
+	}
+
+	if parallelism == 0 {
+		parallelism = defaultWorkerCount
+	}
+
+	var chunkSize int
+	var chunkCount int
+	if parallelism*4 > int(keyRange) {
+		chunkSize = 1
+		chunkCount = int(keyRange)
+	} else {
+		chunkCount = parallelism * 4
+		chunkSize = (int(keyRange) + chunkCount - 1) / chunkCount
+	}
+
+	if chunkCount*chunkSize < int(keyRange) {
+		// it's fine to panic to indicate an implementation error
+		panic(fmt.Sprintf("invariant check failed: chunkCount * chunkSize < keyRange, %d * %d < %d", chunkCount, chunkSize, keyRange))
+	}
+
+	chunks := make([]*roaringArray, chunkCount)
+
+	chunkSpecChan := make(chan parChunkSpec, minOfInt(maxOfInt(64, 2*parallelism), int(chunkCount)))
+	chunkChan := make(chan parChunk, minOfInt(32, int(chunkCount)))
+
+	orFunc := func() {
+		for spec := range chunkSpecChan {
+			ra := lazyOrOnRange(&bitmaps[0].highlowcontainer, &bitmaps[1].highlowcontainer, spec.start, spec.end)
+			for _, b := range bitmaps[2:] {
+				ra = lazyIOrOnRange(ra, &b.highlowcontainer, spec.start, spec.end)
+			}
+
+			for i, c := range ra.containers {
+				ra.containers[i] = repairAfterLazy(c)
+			}
+
+			chunkChan <- parChunk{ra, spec.idx}
+		}
+	}
+
+	for i := 0; i < parallelism; i++ {
+		go orFunc()
+	}
+
+	go func() {
+		for i := 0; i < chunkCount; i++ {
+			spec := parChunkSpec{
+				start: uint16(int(lKey) + i*chunkSize),
+				end:   uint16(minOfInt(int(lKey)+(i+1)*chunkSize-1, int(hKey))),
+				idx:   int(i),
+			}
+			chunkSpecChan <- spec
+		}
+	}()
+
+	chunksRemaining := chunkCount
+	for chunk := range chunkChan {
+		chunks[chunk.idx] = chunk.ra
+		chunksRemaining--
+		if chunksRemaining == 0 {
+			break
+		}
+	}
+	close(chunkChan)
+	close(chunkSpecChan)
+
+	containerCount := 0
+	for _, chunk := range chunks {
+		containerCount += chunk.size()
+	}
+
+	result := Bitmap{
+		roaringArray{
+			containers:      make([]container, containerCount),
+			keys:            make([]uint16, containerCount),
+			needCopyOnWrite: make([]bool, containerCount),
+		},
+	}
+
+	resultOffset := 0
+	for _, chunk := range chunks {
+		copy(result.highlowcontainer.containers[resultOffset:], chunk.containers)
+		copy(result.highlowcontainer.keys[resultOffset:], chunk.keys)
+		copy(result.highlowcontainer.needCopyOnWrite[resultOffset:], chunk.needCopyOnWrite)
+		resultOffset += chunk.size()
+	}
+
+	return &result
+}
+
+type parChunkSpec struct {
+	start uint16
+	end   uint16
+	idx   int
+}
+
+type parChunk struct {
+	ra  *roaringArray
+	idx int
+}
+
+func (c parChunk) size() int {
+	return c.ra.size()
+}
+
+func parNaiveStartAt(ra *roaringArray, start uint16, last uint16) int {
+	for idx, key := range ra.keys {
+		if key >= start && key <= last {
+			return idx
+		} else if key > last {
+			break
+		}
+	}
+	return ra.size()
+}
+
+func lazyOrOnRange(ra1, ra2 *roaringArray, start, last uint16) *roaringArray {
+	answer := newRoaringArray()
+	length1 := ra1.size()
+	length2 := ra2.size()
+
+	idx1 := parNaiveStartAt(ra1, start, last)
+	idx2 := parNaiveStartAt(ra2, start, last)
+
+	var key1 uint16
+	var key2 uint16
+	if idx1 < length1 && idx2 < length2 {
+		key1 = ra1.getKeyAtIndex(idx1)
+		key2 = ra2.getKeyAtIndex(idx2)
+
+		for key1 <= last && key2 <= last {
+
+			if key1 < key2 {
+				answer.appendCopy(*ra1, idx1)
+				idx1++
+				if idx1 == length1 {
+					break
+				}
+				key1 = ra1.getKeyAtIndex(idx1)
+			} else if key1 > key2 {
+				answer.appendCopy(*ra2, idx2)
+				idx2++
+				if idx2 == length2 {
+					break
+				}
+				key2 = ra2.getKeyAtIndex(idx2)
+			} else {
+				c1 := ra1.getFastContainerAtIndex(idx1, false)
+
+				answer.appendContainer(key1, c1.lazyOR(ra2.getContainerAtIndex(idx2)), false)
+				idx1++
+				idx2++
+				if idx1 == length1 || idx2 == length2 {
+					break
+				}
+
+				key1 = ra1.getKeyAtIndex(idx1)
+				key2 = ra2.getKeyAtIndex(idx2)
+			}
+		}
+	}
+
+	if idx2 < length2 {
+		key2 = ra2.getKeyAtIndex(idx2)
+		for key2 <= last {
+			answer.appendCopy(*ra2, idx2)
+			idx2++
+			if idx2 == length2 {
+				break
+			}
+			key2 = ra2.getKeyAtIndex(idx2)
+		}
+	}
+
+	if idx1 < length1 {
+		key1 = ra1.getKeyAtIndex(idx1)
+		for key1 <= last {
+			answer.appendCopy(*ra1, idx1)
+			idx1++
+			if idx1 == length1 {
+				break
+			}
+			key1 = ra1.getKeyAtIndex(idx1)
+		}
+	}
+	return answer
+}
+
+func lazyIOrOnRange(ra1, ra2 *roaringArray, start, last uint16) *roaringArray {
+	length1 := ra1.size()
+	length2 := ra2.size()
+
+	idx1 := 0
+	idx2 := parNaiveStartAt(ra2, start, last)
+
+	var key1 uint16
+	var key2 uint16
+	if idx1 < length1 && idx2 < length2 {
+		key1 = ra1.getKeyAtIndex(idx1)
+		key2 = ra2.getKeyAtIndex(idx2)
+
+		for key1 <= last && key2 <= last {
+			if key1 < key2 {
+				idx1++
+				if idx1 >= length1 {
+					break
+				}
+				key1 = ra1.getKeyAtIndex(idx1)
+			} else if key1 > key2 {
+				ra1.insertNewKeyValueAt(idx1, key2, ra2.getContainerAtIndex(idx2))
+				ra1.needCopyOnWrite[idx1] = true
+				idx2++
+				idx1++
+				length1++
+				if idx2 >= length2 {
+					break
+				}
+				key2 = ra2.getKeyAtIndex(idx2)
+			} else {
+				c1 := ra1.getFastContainerAtIndex(idx1, true)
+
+				ra1.containers[idx1] = c1.lazyIOR(ra2.getContainerAtIndex(idx2))
+				ra1.needCopyOnWrite[idx1] = false
+				idx1++
+				idx2++
+				if idx1 >= length1 || idx2 >= length2 {
+					break
+				}
+
+				key1 = ra1.getKeyAtIndex(idx1)
+				key2 = ra2.getKeyAtIndex(idx2)
+			}
+		}
+	}
+	if idx2 < length2 {
+		key2 = ra2.getKeyAtIndex(idx2)
+		for key2 <= last {
+			ra1.appendCopy(*ra2, idx2)
+			idx2++
+			if idx2 >= length2 {
+				break
+			}
+			key2 = ra2.getKeyAtIndex(idx2)
+		}
+	}
+	return ra1
+}

vendor/github.com/RoaringBitmap/roaring/v2/popcnt.go

@@ -0,0 +1,13 @@
+//go:build go1.9
+// +build go1.9
+
+// "go1.9", from Go version 1.9 onward
+// See https://golang.org/pkg/go/build/#hdr-Build_Constraints
+
+package roaring
+
+import "math/bits"
+
+func popcount(x uint64) uint64 {
+	return uint64(bits.OnesCount64(x))
+}

vendor/github.com/RoaringBitmap/roaring/v2/popcnt_amd64.s

@@ -0,0 +1,103 @@
+// +build amd64,!appengine,!go1.9
+
+TEXT ·hasAsm(SB),4,$0-1
+MOVQ $1, AX
+CPUID
+SHRQ $23, CX
+ANDQ $1, CX
+MOVB CX, ret+0(FP)
+RET
+
+#define POPCNTQ_DX_DX BYTE $0xf3; BYTE $0x48; BYTE $0x0f; BYTE $0xb8; BYTE $0xd2
+
+TEXT ·popcntSliceAsm(SB),4,$0-32
+XORQ	AX, AX
+MOVQ	s+0(FP), SI
+MOVQ	s_len+8(FP), CX
+TESTQ	CX, CX
+JZ		popcntSliceEnd
+popcntSliceLoop:
+BYTE $0xf3; BYTE $0x48; BYTE $0x0f; BYTE $0xb8; BYTE $0x16 // POPCNTQ (SI), DX
+ADDQ	DX, AX
+ADDQ	$8, SI
+LOOP	popcntSliceLoop
+popcntSliceEnd:
+MOVQ	AX, ret+24(FP)
+RET
+
+TEXT ·popcntMaskSliceAsm(SB),4,$0-56
+XORQ	AX, AX
+MOVQ	s+0(FP), SI
+MOVQ	s_len+8(FP), CX
+TESTQ	CX, CX
+JZ		popcntMaskSliceEnd
+MOVQ	m+24(FP), DI
+popcntMaskSliceLoop:
+MOVQ	(DI), DX
+NOTQ	DX
+ANDQ	(SI), DX
+POPCNTQ_DX_DX
+ADDQ	DX, AX
+ADDQ	$8, SI
+ADDQ	$8, DI
+LOOP	popcntMaskSliceLoop
+popcntMaskSliceEnd:
+MOVQ	AX, ret+48(FP)
+RET
+
+TEXT ·popcntAndSliceAsm(SB),4,$0-56
+XORQ	AX, AX
+MOVQ	s+0(FP), SI
+MOVQ	s_len+8(FP), CX
+TESTQ	CX, CX
+JZ		popcntAndSliceEnd
+MOVQ	m+24(FP), DI
+popcntAndSliceLoop:
+MOVQ	(DI), DX
+ANDQ	(SI), DX
+POPCNTQ_DX_DX
+ADDQ	DX, AX
+ADDQ	$8, SI
+ADDQ	$8, DI
+LOOP	popcntAndSliceLoop
+popcntAndSliceEnd:
+MOVQ	AX, ret+48(FP)
+RET
+
+TEXT ·popcntOrSliceAsm(SB),4,$0-56
+XORQ	AX, AX
+MOVQ	s+0(FP), SI
+MOVQ	s_len+8(FP), CX
+TESTQ	CX, CX
+JZ		popcntOrSliceEnd
+MOVQ	m+24(FP), DI
+popcntOrSliceLoop:
+MOVQ	(DI), DX
+ORQ		(SI), DX
+POPCNTQ_DX_DX
+ADDQ	DX, AX
+ADDQ	$8, SI
+ADDQ	$8, DI
+LOOP	popcntOrSliceLoop
+popcntOrSliceEnd:
+MOVQ	AX, ret+48(FP)
+RET
+
+TEXT ·popcntXorSliceAsm(SB),4,$0-56
+XORQ	AX, AX
+MOVQ	s+0(FP), SI
+MOVQ	s_len+8(FP), CX
+TESTQ	CX, CX
+JZ		popcntXorSliceEnd
+MOVQ	m+24(FP), DI
+popcntXorSliceLoop:
+MOVQ	(DI), DX
+XORQ	(SI), DX
+POPCNTQ_DX_DX
+ADDQ	DX, AX
+ADDQ	$8, SI
+ADDQ	$8, DI
+LOOP	popcntXorSliceLoop
+popcntXorSliceEnd:
+MOVQ	AX, ret+48(FP)
+RET

vendor/github.com/RoaringBitmap/roaring/v2/popcnt_asm.go

@@ -0,0 +1,68 @@
+//go:build amd64 && !appengine && !go1.9
+// +build amd64,!appengine,!go1.9
+
+package roaring
+
+// *** the following functions are defined in popcnt_amd64.s
+
+//go:noescape
+
+func hasAsm() bool
+
+// useAsm is a flag used to select the GO or ASM implementation of the popcnt function
+var useAsm = hasAsm()
+
+//go:noescape
+
+func popcntSliceAsm(s []uint64) uint64
+
+//go:noescape
+
+func popcntMaskSliceAsm(s, m []uint64) uint64
+
+//go:noescape
+
+func popcntAndSliceAsm(s, m []uint64) uint64
+
+//go:noescape
+
+func popcntOrSliceAsm(s, m []uint64) uint64
+
+//go:noescape
+
+func popcntXorSliceAsm(s, m []uint64) uint64
+
+func popcntSlice(s []uint64) uint64 {
+	if useAsm {
+		return popcntSliceAsm(s)
+	}
+	return popcntSliceGo(s)
+}
+
+func popcntMaskSlice(s, m []uint64) uint64 {
+	if useAsm {
+		return popcntMaskSliceAsm(s, m)
+	}
+	return popcntMaskSliceGo(s, m)
+}
+
+func popcntAndSlice(s, m []uint64) uint64 {
+	if useAsm {
+		return popcntAndSliceAsm(s, m)
+	}
+	return popcntAndSliceGo(s, m)
+}
+
+func popcntOrSlice(s, m []uint64) uint64 {
+	if useAsm {
+		return popcntOrSliceAsm(s, m)
+	}
+	return popcntOrSliceGo(s, m)
+}
+
+func popcntXorSlice(s, m []uint64) uint64 {
+	if useAsm {
+		return popcntXorSliceAsm(s, m)
+	}
+	return popcntXorSliceGo(s, m)
+}

vendor/github.com/RoaringBitmap/roaring/v2/popcnt_compat.go

@@ -0,0 +1,18 @@
+//go:build !go1.9
+// +build !go1.9
+
+package roaring
+
+// bit population count, take from
+// https://code.google.com/p/go/issues/detail?id=4988#c11
+// credit: https://code.google.com/u/arnehormann/
+// credit: https://play.golang.org/p/U7SogJ7psJ
+// credit: http://graphics.stanford.edu/~seander/bithacks.html#CountBitsSetParallel
+func popcount(x uint64) uint64 {
+	x -= (x >> 1) & 0x5555555555555555
+	x = (x>>2)&0x3333333333333333 + x&0x3333333333333333
+	x += x >> 4
+	x &= 0x0f0f0f0f0f0f0f0f
+	x *= 0x0101010101010101
+	return x >> 56
+}

vendor/github.com/RoaringBitmap/roaring/v2/popcnt_generic.go

@@ -0,0 +1,24 @@
+//go:build !amd64 || appengine || go1.9
+// +build !amd64 appengine go1.9
+
+package roaring
+
+func popcntSlice(s []uint64) uint64 {
+	return popcntSliceGo(s)
+}
+
+func popcntMaskSlice(s, m []uint64) uint64 {
+	return popcntMaskSliceGo(s, m)
+}
+
+func popcntAndSlice(s, m []uint64) uint64 {
+	return popcntAndSliceGo(s, m)
+}
+
+func popcntOrSlice(s, m []uint64) uint64 {
+	return popcntOrSliceGo(s, m)
+}
+
+func popcntXorSlice(s, m []uint64) uint64 {
+	return popcntXorSliceGo(s, m)
+}

vendor/github.com/RoaringBitmap/roaring/v2/popcnt_slices.go

@@ -0,0 +1,41 @@
+package roaring
+
+func popcntSliceGo(s []uint64) uint64 {
+	cnt := uint64(0)
+	for _, x := range s {
+		cnt += popcount(x)
+	}
+	return cnt
+}
+
+func popcntMaskSliceGo(s, m []uint64) uint64 {
+	cnt := uint64(0)
+	for i := range s {
+		cnt += popcount(s[i] &^ m[i])
+	}
+	return cnt
+}
+
+func popcntAndSliceGo(s, m []uint64) uint64 {
+	cnt := uint64(0)
+	for i := range s {
+		cnt += popcount(s[i] & m[i])
+	}
+	return cnt
+}
+
+func popcntOrSliceGo(s, m []uint64) uint64 {
+	cnt := uint64(0)
+	for i := range s {
+		cnt += popcount(s[i] | m[i])
+	}
+	return cnt
+}
+
+func popcntXorSliceGo(s, m []uint64) uint64 {
+	cnt := uint64(0)
+	for i := range s {
+		cnt += popcount(s[i] ^ m[i])
+	}
+	return cnt
+}

vendor/github.com/RoaringBitmap/roaring/v2/priorityqueue.go

@@ -0,0 +1,101 @@
+package roaring
+
+import "container/heap"
+
+/////////////
+// The priorityQueue is used to keep Bitmaps sorted.
+////////////
+
+type item struct {
+	value *Bitmap
+	index int
+}
+
+type priorityQueue []*item
+
+func (pq priorityQueue) Len() int { return len(pq) }
+
+func (pq priorityQueue) Less(i, j int) bool {
+	return pq[i].value.GetSizeInBytes() < pq[j].value.GetSizeInBytes()
+}
+
+func (pq priorityQueue) Swap(i, j int) {
+	pq[i], pq[j] = pq[j], pq[i]
+	pq[i].index = i
+	pq[j].index = j
+}
+
+func (pq *priorityQueue) Push(x interface{}) {
+	n := len(*pq)
+	item := x.(*item)
+	item.index = n
+	*pq = append(*pq, item)
+}
+
+func (pq *priorityQueue) Pop() interface{} {
+	old := *pq
+	n := len(old)
+	item := old[n-1]
+	item.index = -1 // for safety
+	*pq = old[0 : n-1]
+	return item
+}
+
+func (pq *priorityQueue) update(item *item, value *Bitmap) {
+	item.value = value
+	heap.Fix(pq, item.index)
+}
+
+/////////////
+// The containerPriorityQueue is used to keep the containers of various Bitmaps sorted.
+////////////
+
+type containeritem struct {
+	value    *Bitmap
+	keyindex int
+	index    int
+}
+
+type containerPriorityQueue []*containeritem
+
+func (pq containerPriorityQueue) Len() int { return len(pq) }
+
+func (pq containerPriorityQueue) Less(i, j int) bool {
+	k1 := pq[i].value.highlowcontainer.getKeyAtIndex(pq[i].keyindex)
+	k2 := pq[j].value.highlowcontainer.getKeyAtIndex(pq[j].keyindex)
+	if k1 != k2 {
+		return k1 < k2
+	}
+	c1 := pq[i].value.highlowcontainer.getContainerAtIndex(pq[i].keyindex)
+	c2 := pq[j].value.highlowcontainer.getContainerAtIndex(pq[j].keyindex)
+
+	return c1.getCardinality() > c2.getCardinality()
+}
+
+func (pq containerPriorityQueue) Swap(i, j int) {
+	pq[i], pq[j] = pq[j], pq[i]
+	pq[i].index = i
+	pq[j].index = j
+}
+
+func (pq *containerPriorityQueue) Push(x interface{}) {
+	n := len(*pq)
+	item := x.(*containeritem)
+	item.index = n
+	*pq = append(*pq, item)
+}
+
+func (pq *containerPriorityQueue) Pop() interface{} {
+	old := *pq
+	n := len(old)
+	item := old[n-1]
+	item.index = -1 // for safety
+	*pq = old[0 : n-1]
+	return item
+}
+
+//func (pq *containerPriorityQueue) update(item *containeritem, value *Bitmap, keyindex int) {
+//	item.value = value
+//	item.keyindex = keyindex
+//	heap.Fix(pq, item.index)
+//}

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/Makefile

@@ -0,0 +1,106 @@
+.PHONY: help all test format fmtcheck vet lint     qa deps clean nuke ser fetch-real-roaring-datasets
+
+
+
+
+
+
+
+
+# Display general help about this command
+help:
+	@echo ""
+	@echo "The following commands are available:"
+	@echo ""
+	@echo "    make qa          : Run all the tests"
+	@echo "    make test        : Run the unit tests"
+	@echo ""
+	@echo "    make format      : Format the source code"
+	@echo "    make fmtcheck    : Check if the source code has been formatted"
+	@echo "    make vet         : Check for suspicious constructs"
+	@echo "    make lint        : Check for style errors"
+	@echo ""
+	@echo "    make deps        : Get the dependencies"
+	@echo "    make clean       : Remove any build artifact"
+	@echo "    make nuke        : Deletes any intermediate file"
+	@echo ""
+	@echo "    make fuzz-smat   : Fuzzy testing with smat"
+	@echo "    make fuzz-stream : Fuzzy testing with stream deserialization"
+	@echo "    make fuzz-buffer : Fuzzy testing with buffer deserialization"
+	@echo ""
+
+# Alias for help target
+all: help
+test:
+	go test
+# Format the source code
+format:
+	@find ./ -type f -name "*.go" -exec gofmt -w {} \;
+
+# Check if the source code has been formatted
+fmtcheck:
+	@mkdir -p target
+	@find ./ -type f -name "*.go" -exec gofmt -d {} \; | tee target/format.diff
+	@test ! -s target/format.diff || { echo "ERROR: the source code has not been formatted - please use 'make format' or 'gofmt'"; exit 1; }
+
+# Check for syntax errors
+vet:
+	GOPATH=$(GOPATH) go vet ./...
+
+# Check for style errors
+lint:
+	GOPATH=$(GOPATH) PATH=$(GOPATH)/bin:$(PATH) golint ./...
+
+
+
+
+
+# Alias to run all quality-assurance checks
+qa: fmtcheck test vet lint
+
+# --- INSTALL ---
+
+# Get the dependencies
+deps:
+	GOPATH=$(GOPATH) go get github.com/stretchr/testify
+	GOPATH=$(GOPATH) go get github.com/bits-and-blooms/bitset
+	GOPATH=$(GOPATH) go get github.com/golang/lint/golint
+	GOPATH=$(GOPATH) go get github.com/mschoch/smat
+	GOPATH=$(GOPATH) go get github.com/dvyukov/go-fuzz/go-fuzz
+	GOPATH=$(GOPATH) go get github.com/dvyukov/go-fuzz/go-fuzz-build
+	GOPATH=$(GOPATH) go get github.com/glycerine/go-unsnap-stream
+	GOPATH=$(GOPATH) go get github.com/philhofer/fwd
+	GOPATH=$(GOPATH) go get github.com/jtolds/gls
+
+fuzz-smat:
+	go test -tags=gofuzz -run=TestGenerateSmatCorpus
+	go-fuzz-build -func FuzzSmat github.com/RoaringBitmap/roaring
+	go-fuzz -bin=./roaring-fuzz.zip -workdir=workdir/ -timeout=200
+
+
+fuzz-stream:
+	go-fuzz-build -func FuzzSerializationStream github.com/RoaringBitmap/roaring
+	go-fuzz -bin=./roaring-fuzz.zip -workdir=workdir/ -timeout=200
+
+fuzz-buffer:
+	go-fuzz-build -func FuzzSerializationBuffer github.com/RoaringBitmap/roaring
+	go-fuzz -bin=./roaring-fuzz.zip -workdir=workdir/ -timeout=200
+
+# Remove any build artifact
+clean:
+	GOPATH=$(GOPATH) go clean ./...
+
+# Deletes any intermediate file
+nuke:
+	rm -rf ./target
+	GOPATH=$(GOPATH) go clean -i ./...
+
+
+cover:
+	go test -coverprofile=coverage.out
+	go tool cover -html=coverage.out
+
+fetch-real-roaring-datasets:
+	# pull github.com/RoaringBitmap/real-roaring-datasets -> testdata/real-roaring-datasets
+	git submodule init
+	git submodule update

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/fastaggregation64.go

@@ -0,0 +1,31 @@
+package roaring64
+
+// FastAnd computes the intersection between many bitmaps quickly
+// Compared to the And function, it can take many bitmaps as input, thus saving the trouble
+// of manually calling "And" many times.
+func FastAnd(bitmaps ...*Bitmap) *Bitmap {
+	if len(bitmaps) == 0 {
+		return NewBitmap()
+	} else if len(bitmaps) == 1 {
+		return bitmaps[0].Clone()
+	}
+	answer := And(bitmaps[0], bitmaps[1])
+	for _, bm := range bitmaps[2:] {
+		answer.And(bm)
+	}
+	return answer
+}
+
+// FastOr computes the union between many bitmaps quickly, as opposed to having to call Or repeatedly.
+func FastOr(bitmaps ...*Bitmap) *Bitmap {
+	if len(bitmaps) == 0 {
+		return NewBitmap()
+	} else if len(bitmaps) == 1 {
+		return bitmaps[0].Clone()
+	}
+	answer := Or(bitmaps[0], bitmaps[1])
+	for _, bm := range bitmaps[2:] {
+		answer.Or(bm)
+	}
+	return answer
+}

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/iter.go

@@ -0,0 +1,31 @@
+package roaring64
+
+import "iter"
+
+// Values returns an iterator that yields the elements of the bitmap in
+// increasing order. Starting with Go 1.23, users can use a for loop to iterate
+// over it.
+func Values(b *Bitmap) iter.Seq[uint64] {
+	return func(yield func(uint64) bool) {
+		it := b.Iterator()
+		for it.HasNext() {
+			if !yield(it.Next()) {
+				return
+			}
+		}
+	}
+}
+
+// Backward returns an iterator that yields the elements of the bitmap in
+// decreasing order. Starting with Go 1.23, users can use a for loop to iterate
+// over it.
+func Backward(b *Bitmap) iter.Seq[uint64] {
+	return func(yield func(uint64) bool) {
+		it := b.ReverseIterator()
+		for it.HasNext() {
+			if !yield(it.Next()) {
+				return
+			}
+		}
+	}
+}

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/iterables64.go

@@ -0,0 +1,169 @@
+package roaring64
+
+import (
+	"github.com/RoaringBitmap/roaring/v2"
+)
+
+// IntIterable64 allows you to iterate over the values in a Bitmap
+type IntIterable64 interface {
+	HasNext() bool
+	Next() uint64
+}
+
+// IntPeekable64 allows you to look at the next value without advancing and
+// advance as long as the next value is smaller than minval
+type IntPeekable64 interface {
+	IntIterable64
+	// PeekNext peeks the next value without advancing the iterator
+	PeekNext() uint64
+	// AdvanceIfNeeded advances as long as the next value is smaller than minval
+	AdvanceIfNeeded(minval uint64)
+}
+
+type intIterator struct {
+	pos              int
+	hs               uint64
+	iter             roaring.IntPeekable
+	highlowcontainer *roaringArray64
+}
+
+// HasNext returns true if there are more integers to iterate over
+func (ii *intIterator) HasNext() bool {
+	return ii.pos < ii.highlowcontainer.size()
+}
+
+func (ii *intIterator) init() {
+	if ii.highlowcontainer.size() > ii.pos {
+		ii.iter = ii.highlowcontainer.getContainerAtIndex(ii.pos).Iterator()
+		ii.hs = uint64(ii.highlowcontainer.getKeyAtIndex(ii.pos)) << 32
+	}
+}
+
+// Next returns the next integer
+func (ii *intIterator) Next() uint64 {
+	lowbits := ii.iter.Next()
+	x := uint64(lowbits) | ii.hs
+	if !ii.iter.HasNext() {
+		ii.pos = ii.pos + 1
+		ii.init()
+	}
+	return x
+}
+
+// PeekNext peeks the next value without advancing the iterator
+func (ii *intIterator) PeekNext() uint64 {
+	return uint64(ii.iter.PeekNext()&maxLowBit) | ii.hs
+}
+
+// AdvanceIfNeeded advances as long as the next value is smaller than minval
+func (ii *intIterator) AdvanceIfNeeded(minval uint64) {
+	to := minval >> 32
+
+	for ii.HasNext() && (ii.hs>>32) < to {
+		ii.pos++
+		ii.init()
+	}
+
+	if ii.HasNext() && (ii.hs>>32) == to {
+		ii.iter.AdvanceIfNeeded(lowbits(minval))
+
+		if !ii.iter.HasNext() {
+			ii.pos++
+			ii.init()
+		}
+	}
+}
+
+func newIntIterator(a *Bitmap) *intIterator {
+	p := new(intIterator)
+	p.pos = 0
+	p.highlowcontainer = &a.highlowcontainer
+	p.init()
+	return p
+}
+
+type intReverseIterator struct {
+	pos              int
+	hs               uint64
+	iter             roaring.IntIterable
+	highlowcontainer *roaringArray64
+}
+
+// HasNext returns true if there are more integers to iterate over
+func (ii *intReverseIterator) HasNext() bool {
+	return ii.pos >= 0
+}
+
+func (ii *intReverseIterator) init() {
+	if ii.pos >= 0 {
+		ii.iter = ii.highlowcontainer.getContainerAtIndex(ii.pos).ReverseIterator()
+		ii.hs = uint64(ii.highlowcontainer.getKeyAtIndex(ii.pos)) << 32
+	} else {
+		ii.iter = nil
+	}
+}
+
+// Next returns the next integer
+func (ii *intReverseIterator) Next() uint64 {
+	x := uint64(ii.iter.Next()) | ii.hs
+	if !ii.iter.HasNext() {
+		ii.pos = ii.pos - 1
+		ii.init()
+	}
+	return x
+}
+
+func newIntReverseIterator(a *Bitmap) *intReverseIterator {
+	p := new(intReverseIterator)
+	p.highlowcontainer = &a.highlowcontainer
+	p.pos = a.highlowcontainer.size() - 1
+	p.init()
+	return p
+}
+
+// ManyIntIterable64 allows you to iterate over the values in a Bitmap
+type ManyIntIterable64 interface {
+	// pass in a buffer to fill up with values, returns how many values were returned
+	NextMany([]uint64) int
+}
+
+type manyIntIterator struct {
+	pos              int
+	hs               uint64
+	iter             roaring.ManyIntIterable
+	highlowcontainer *roaringArray64
+}
+
+func (ii *manyIntIterator) init() {
+	if ii.highlowcontainer.size() > ii.pos {
+		ii.iter = ii.highlowcontainer.getContainerAtIndex(ii.pos).ManyIterator()
+		ii.hs = uint64(ii.highlowcontainer.getKeyAtIndex(ii.pos)) << 32
+	} else {
+		ii.iter = nil
+	}
+}
+
+func (ii *manyIntIterator) NextMany(buf []uint64) int {
+	n := 0
+	for n < len(buf) {
+		if ii.iter == nil {
+			break
+		}
+		moreN := ii.iter.NextMany64(ii.hs, buf[n:])
+		n += moreN
+		if moreN == 0 {
+			ii.pos = ii.pos + 1
+			ii.init()
+		}
+	}
+
+	return n
+}
+
+func newManyIntIterator(a *Bitmap) *manyIntIterator {
+	p := new(manyIntIterator)
+	p.pos = 0
+	p.highlowcontainer = &a.highlowcontainer
+	p.init()
+	return p
+}

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/parallel64.go

@@ -0,0 +1,297 @@
+package roaring64
+
+import (
+	"fmt"
+	"runtime"
+
+	"github.com/RoaringBitmap/roaring/v2"
+)
+
+var defaultWorkerCount = runtime.NumCPU()
+
+// ParOr computes the union (OR) of all provided bitmaps in parallel,
+// where the parameter "parallelism" determines how many workers are to be used
+// (if it is set to 0, a default number of workers is chosen)
+func ParOr(parallelism int, bitmaps ...*Bitmap) *Bitmap {
+	var lKey uint32 = maxUint32
+	var hKey uint32
+
+	bitmapsFiltered := bitmaps[:0]
+	for _, b := range bitmaps {
+		if !b.IsEmpty() {
+			bitmapsFiltered = append(bitmapsFiltered, b)
+		}
+	}
+	bitmaps = bitmapsFiltered
+
+	for _, b := range bitmaps {
+		lKey = minOfUint32(lKey, b.highlowcontainer.keys[0])
+		hKey = maxOfUint32(hKey, b.highlowcontainer.keys[b.highlowcontainer.size()-1])
+	}
+
+	if lKey == maxUint32 && hKey == 0 {
+		return New()
+	} else if len(bitmaps) == 1 {
+		return bitmaps[0]
+	}
+	// The following might overflow and we do not want that!
+	// as it might lead to a channel of size 0 later which,
+	// on some systems, would block indefinitely.
+	keyRange := uint64(hKey) - uint64(lKey) + 1
+	if keyRange == 1 {
+		// All bitmaps have the same key,
+		// we can merge the 32-bit roaring bitmaps in parallel
+		var bms32s = make([]*roaring.Bitmap, 0, len(bitmaps))
+		for _, b := range bitmaps {
+			bms32s = append(bms32s, b.highlowcontainer.containers...)
+		}
+		return roaring32AsRoaring64(roaring.ParOr(parallelism, bms32s...), lKey)
+	}
+
+	if parallelism == 0 {
+		parallelism = defaultWorkerCount
+	}
+	// We cannot use int since int is 32-bit on 32-bit systems.
+	var chunkSize int64
+	var chunkCount int64
+	if int64(parallelism)*4 > int64(keyRange) {
+		chunkSize = 1
+		chunkCount = int64(keyRange)
+	} else {
+		chunkCount = int64(parallelism) * 4
+		chunkSize = (int64(keyRange) + chunkCount - 1) / chunkCount
+	}
+
+	if chunkCount*chunkSize < int64(keyRange) {
+		// it's fine to panic to indicate an implementation error
+		panic(fmt.Sprintf("invariant check failed: chunkCount * chunkSize < keyRange, %d * %d < %d", chunkCount, chunkSize, keyRange))
+	}
+
+	chunks := make([]*roaringArray64, chunkCount)
+
+	chunkSpecChan := make(chan parChunkSpec, minOfInt(maxOfInt(64, 2*parallelism), int(chunkCount)))
+	chunkChan := make(chan parChunk, minOfInt(32, int(chunkCount)))
+
+	orFunc := func() {
+		for spec := range chunkSpecChan {
+			ra := orOnRange(&bitmaps[0].highlowcontainer, &bitmaps[1].highlowcontainer, spec.start, spec.end)
+			for _, b := range bitmaps[2:] {
+				ra = iorOnRange(ra, &b.highlowcontainer, spec.start, spec.end)
+			}
+
+			chunkChan <- parChunk{ra, spec.idx}
+		}
+	}
+
+	for i := 0; i < parallelism; i++ {
+		go orFunc()
+	}
+
+	go func() {
+		for i := int64(0); i < chunkCount; i++ {
+			spec := parChunkSpec{
+				start: uint32(int64(lKey) + i*chunkSize),
+				end:   uint32(minOfInt64(int64(lKey)+(i+1)*chunkSize-1, int64(hKey))),
+				idx:   int(i),
+			}
+			chunkSpecChan <- spec
+		}
+	}()
+
+	chunksRemaining := chunkCount
+	for chunk := range chunkChan {
+		chunks[chunk.idx] = chunk.ra
+		chunksRemaining--
+		if chunksRemaining == 0 {
+			break
+		}
+	}
+	close(chunkChan)
+	close(chunkSpecChan)
+
+	containerCount := 0
+	for _, chunk := range chunks {
+		containerCount += chunk.size()
+	}
+
+	result := Bitmap{
+		roaringArray64{
+			containers:      make([]*roaring.Bitmap, containerCount),
+			keys:            make([]uint32, containerCount),
+			needCopyOnWrite: make([]bool, containerCount),
+		},
+	}
+
+	resultOffset := 0
+	for _, chunk := range chunks {
+		copy(result.highlowcontainer.containers[resultOffset:], chunk.containers)
+		copy(result.highlowcontainer.keys[resultOffset:], chunk.keys)
+		copy(result.highlowcontainer.needCopyOnWrite[resultOffset:], chunk.needCopyOnWrite)
+		resultOffset += chunk.size()
+	}
+
+	return &result
+}
+
+type parChunkSpec struct {
+	start uint32
+	end   uint32
+	idx   int
+}
+
+type parChunk struct {
+	ra  *roaringArray64
+	idx int
+}
+
+func (c parChunk) size() int {
+	return c.ra.size()
+}
+
+// parNaiveStartAt returns the index of the first key that is inclusive between start and last
+// Returns the size if there is no such key
+func parNaiveStartAt(ra *roaringArray64, start uint32, last uint32) int {
+	for idx, key := range ra.keys {
+		if key >= start && key <= last {
+			return idx
+		} else if key > last {
+			break
+		}
+	}
+	return ra.size()
+}
+
+func orOnRange(ra1, ra2 *roaringArray64, start, last uint32) *roaringArray64 {
+	answer := &roaringArray64{}
+	length1 := ra1.size()
+	length2 := ra2.size()
+
+	idx1 := parNaiveStartAt(ra1, start, last)
+	idx2 := parNaiveStartAt(ra2, start, last)
+
+	var key1 uint32
+	var key2 uint32
+	if idx1 < length1 && idx2 < length2 {
+		key1 = ra1.getKeyAtIndex(idx1)
+		key2 = ra2.getKeyAtIndex(idx2)
+
+		for key1 <= last && key2 <= last {
+			if key1 < key2 {
+				answer.appendCopy(*ra1, idx1)
+				idx1++
+				if idx1 == length1 {
+					break
+				}
+				key1 = ra1.getKeyAtIndex(idx1)
+			} else if key1 > key2 {
+				answer.appendCopy(*ra2, idx2)
+				idx2++
+				if idx2 == length2 {
+					break
+				}
+				key2 = ra2.getKeyAtIndex(idx2)
+			} else {
+				c1 := ra1.getContainerAtIndex(idx1)
+
+				// answer.appendContainer(key1, c1.lazyOR(ra2.getContainerAtIndex(idx2)), false)
+				answer.appendContainer(key1, roaring.Or(c1, ra2.getContainerAtIndex(idx2)), false)
+				idx1++
+				idx2++
+				if idx1 == length1 || idx2 == length2 {
+					break
+				}
+
+				key1 = ra1.getKeyAtIndex(idx1)
+				key2 = ra2.getKeyAtIndex(idx2)
+			}
+		}
+	}
+
+	if idx2 < length2 {
+		key2 = ra2.getKeyAtIndex(idx2)
+		for key2 <= last {
+			answer.appendCopy(*ra2, idx2)
+			idx2++
+			if idx2 == length2 {
+				break
+			}
+			key2 = ra2.getKeyAtIndex(idx2)
+		}
+	}
+
+	if idx1 < length1 {
+		key1 = ra1.getKeyAtIndex(idx1)
+		for key1 <= last {
+			answer.appendCopy(*ra1, idx1)
+			idx1++
+			if idx1 == length1 {
+				break
+			}
+			key1 = ra1.getKeyAtIndex(idx1)
+		}
+	}
+	return answer
+}
+
+func iorOnRange(ra1, ra2 *roaringArray64, start, last uint32) *roaringArray64 {
+	length1 := ra1.size()
+	length2 := ra2.size()
+
+	idx1 := 0
+	idx2 := parNaiveStartAt(ra2, start, last)
+
+	var key1 uint32
+	var key2 uint32
+	if idx1 < length1 && idx2 < length2 {
+		key1 = ra1.getKeyAtIndex(idx1)
+		key2 = ra2.getKeyAtIndex(idx2)
+
+		for key1 <= last && key2 <= last {
+			if key1 < key2 {
+				idx1++
+				if idx1 >= length1 {
+					break
+				}
+				key1 = ra1.getKeyAtIndex(idx1)
+			} else if key1 > key2 {
+				ra1.insertNewKeyValueAt(idx1, key2, ra2.getContainerAtIndex(idx2))
+				ra1.needCopyOnWrite[idx1] = true
+				idx2++
+				idx1++
+				length1++
+				if idx2 >= length2 {
+					break
+				}
+				key2 = ra2.getKeyAtIndex(idx2)
+			} else {
+				c1 := ra1.getWritableContainerAtIndex(idx1)
+
+				// ra1.containers[idx1] = c1.lazyIOR(ra2.getContainerAtIndex(idx2))
+				c1.Or(ra2.getContainerAtIndex(idx2))
+				ra1.setContainerAtIndex(idx1, c1)
+
+				ra1.needCopyOnWrite[idx1] = false
+				idx1++
+				idx2++
+				if idx1 >= length1 || idx2 >= length2 {
+					break
+				}
+
+				key1 = ra1.getKeyAtIndex(idx1)
+				key2 = ra2.getKeyAtIndex(idx2)
+			}
+		}
+	}
+	if idx2 < length2 {
+		key2 = ra2.getKeyAtIndex(idx2)
+		for key2 <= last {
+			ra1.appendCopy(*ra2, idx2)
+			idx2++
+			if idx2 >= length2 {
+				break
+			}
+			key2 = ra2.getKeyAtIndex(idx2)
+		}
+	}
+	return ra1
+}

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/roaringarray64.go

@@ -0,0 +1,462 @@
+package roaring64
+
+import (
+	"errors"
+
+	"github.com/RoaringBitmap/roaring/v2"
+)
+
+type roaringArray64 struct {
+	keys            []uint32
+	containers      []*roaring.Bitmap
+	needCopyOnWrite []bool
+	copyOnWrite     bool
+}
+
+var (
+	ErrKeySortOrder          = errors.New("keys were out of order")
+	ErrCardinalityConstraint = errors.New("size of arrays was not coherent")
+)
+
+// runOptimize compresses the element containers to minimize space consumed.
+// Q: how does this interact with copyOnWrite and needCopyOnWrite?
+// A: since we aren't changing the logical content, just the representation,
+//
+//	we don't bother to check the needCopyOnWrite bits. We replace
+//	(possibly all) elements of ra.containers in-place with space
+//	optimized versions.
+func (ra *roaringArray64) runOptimize() {
+	for i := range ra.containers {
+		ra.containers[i].RunOptimize()
+	}
+}
+
+func (ra *roaringArray64) appendContainer(key uint32, value *roaring.Bitmap, mustCopyOnWrite bool) {
+	ra.keys = append(ra.keys, key)
+	ra.containers = append(ra.containers, value)
+	ra.needCopyOnWrite = append(ra.needCopyOnWrite, mustCopyOnWrite)
+}
+
+func (ra *roaringArray64) appendWithoutCopy(sa roaringArray64, startingindex int) {
+	mustCopyOnWrite := sa.needCopyOnWrite[startingindex]
+	ra.appendContainer(sa.keys[startingindex], sa.containers[startingindex], mustCopyOnWrite)
+}
+
+func (ra *roaringArray64) appendCopy(sa roaringArray64, startingindex int) {
+	// cow only if the two request it, or if we already have a lightweight copy
+	copyonwrite := (ra.copyOnWrite && sa.copyOnWrite) || sa.needsCopyOnWrite(startingindex)
+	if !copyonwrite {
+		// since there is no copy-on-write, we need to clone the container (this is important)
+		ra.appendContainer(sa.keys[startingindex], sa.containers[startingindex].Clone(), copyonwrite)
+	} else {
+		ra.appendContainer(sa.keys[startingindex], sa.containers[startingindex].Clone(), copyonwrite)
+		if !sa.needsCopyOnWrite(startingindex) {
+			sa.setNeedsCopyOnWrite(startingindex)
+		}
+	}
+}
+
+func (ra *roaringArray64) appendWithoutCopyMany(sa roaringArray64, startingindex, end int) {
+	for i := startingindex; i < end; i++ {
+		ra.appendWithoutCopy(sa, i)
+	}
+}
+
+func (ra *roaringArray64) appendCopyMany(sa roaringArray64, startingindex, end int) {
+	for i := startingindex; i < end; i++ {
+		ra.appendCopy(sa, i)
+	}
+}
+
+func (ra *roaringArray64) appendCopiesUntil(sa roaringArray64, stoppingKey uint32) {
+	// cow only if the two request it, or if we already have a lightweight copy
+	copyonwrite := ra.copyOnWrite && sa.copyOnWrite
+
+	for i := 0; i < sa.size(); i++ {
+		if sa.keys[i] >= stoppingKey {
+			break
+		}
+		thiscopyonewrite := copyonwrite || sa.needsCopyOnWrite(i)
+		if thiscopyonewrite {
+			ra.appendContainer(sa.keys[i], sa.containers[i], thiscopyonewrite)
+			if !sa.needsCopyOnWrite(i) {
+				sa.setNeedsCopyOnWrite(i)
+			}
+
+		} else {
+			// since there is no copy-on-write, we need to clone the container (this is important)
+			ra.appendContainer(sa.keys[i], sa.containers[i].Clone(), thiscopyonewrite)
+		}
+	}
+}
+
+func (ra *roaringArray64) appendCopiesAfter(sa roaringArray64, beforeStart uint32) {
+	// cow only if the two request it, or if we already have a lightweight copy
+	copyonwrite := ra.copyOnWrite && sa.copyOnWrite
+
+	startLocation := sa.getIndex(beforeStart)
+	if startLocation >= 0 {
+		startLocation++
+	} else {
+		startLocation = -startLocation - 1
+	}
+
+	for i := startLocation; i < sa.size(); i++ {
+		thiscopyonewrite := copyonwrite || sa.needsCopyOnWrite(i)
+		if thiscopyonewrite {
+			ra.appendContainer(sa.keys[i], sa.containers[i], thiscopyonewrite)
+			if !sa.needsCopyOnWrite(i) {
+				sa.setNeedsCopyOnWrite(i)
+			}
+		} else {
+			// since there is no copy-on-write, we need to clone the container (this is important)
+			ra.appendContainer(sa.keys[i], sa.containers[i].Clone(), thiscopyonewrite)
+		}
+	}
+}
+
+func (ra *roaringArray64) removeIndexRange(begin, end int) {
+	if end <= begin {
+		return
+	}
+
+	r := end - begin
+
+	copy(ra.keys[begin:], ra.keys[end:])
+	copy(ra.containers[begin:], ra.containers[end:])
+	copy(ra.needCopyOnWrite[begin:], ra.needCopyOnWrite[end:])
+
+	ra.resize(len(ra.keys) - r)
+}
+
+func (ra *roaringArray64) resize(newsize int) {
+	for k := newsize; k < len(ra.containers); k++ {
+		ra.keys[k] = 0
+		ra.needCopyOnWrite[k] = false
+		ra.containers[k] = nil
+	}
+
+	ra.keys = ra.keys[:newsize]
+	ra.containers = ra.containers[:newsize]
+	ra.needCopyOnWrite = ra.needCopyOnWrite[:newsize]
+}
+
+func (ra *roaringArray64) clear() {
+	ra.resize(0)
+	ra.copyOnWrite = false
+}
+
+func (ra *roaringArray64) clone() *roaringArray64 {
+	sa := roaringArray64{}
+	sa.copyOnWrite = ra.copyOnWrite
+
+	// this is where copyOnWrite is used.
+	if ra.copyOnWrite {
+		sa.keys = make([]uint32, len(ra.keys))
+		copy(sa.keys, ra.keys)
+		sa.containers = make([]*roaring.Bitmap, len(ra.containers))
+		copy(sa.containers, ra.containers)
+		sa.needCopyOnWrite = make([]bool, len(ra.needCopyOnWrite))
+
+		ra.markAllAsNeedingCopyOnWrite()
+		sa.markAllAsNeedingCopyOnWrite()
+
+		// sa.needCopyOnWrite is shared
+	} else {
+		// make a full copy
+
+		sa.keys = make([]uint32, len(ra.keys))
+		copy(sa.keys, ra.keys)
+
+		sa.containers = make([]*roaring.Bitmap, len(ra.containers))
+		for i := range sa.containers {
+			sa.containers[i] = ra.containers[i].Clone()
+		}
+
+		sa.needCopyOnWrite = make([]bool, len(ra.needCopyOnWrite))
+	}
+	return &sa
+}
+
+// clone all containers which have needCopyOnWrite set to true
+// This can be used to make sure it is safe to munmap a []byte
+// that the roaring array may still have a reference to.
+func (ra *roaringArray64) cloneCopyOnWriteContainers() {
+	for i, needCopyOnWrite := range ra.needCopyOnWrite {
+		if needCopyOnWrite {
+			ra.containers[i] = ra.containers[i].Clone()
+			ra.needCopyOnWrite[i] = false
+		}
+	}
+}
+
+// unused function:
+// func (ra *roaringArray64) containsKey(x uint32) bool {
+//	return (ra.binarySearch(0, int64(len(ra.keys)), x) >= 0)
+// }
+
+func (ra *roaringArray64) getContainer(x uint32) *roaring.Bitmap {
+	i := ra.binarySearch(0, int64(len(ra.keys)), x)
+	if i < 0 {
+		return nil
+	}
+	return ra.containers[i]
+}
+
+func (ra *roaringArray64) getContainerAtIndex(i int) *roaring.Bitmap {
+	return ra.containers[i]
+}
+
+func (ra *roaringArray64) getWritableContainerAtIndex(i int) *roaring.Bitmap {
+	if ra.needCopyOnWrite[i] {
+		ra.containers[i] = ra.containers[i].Clone()
+		ra.needCopyOnWrite[i] = false
+	}
+	return ra.containers[i]
+}
+
+func (ra *roaringArray64) getIndex(x uint32) int {
+	// before the binary search, we optimize for frequent cases
+	size := len(ra.keys)
+	if (size == 0) || (ra.keys[size-1] == x) {
+		return size - 1
+	}
+	return ra.binarySearch(0, int64(size), x)
+}
+
+func (ra *roaringArray64) getKeyAtIndex(i int) uint32 {
+	return ra.keys[i]
+}
+
+func (ra *roaringArray64) insertNewKeyValueAt(i int, key uint32, value *roaring.Bitmap) {
+	ra.keys = append(ra.keys, 0)
+	ra.containers = append(ra.containers, nil)
+
+	copy(ra.keys[i+1:], ra.keys[i:])
+	copy(ra.containers[i+1:], ra.containers[i:])
+
+	ra.keys[i] = key
+	ra.containers[i] = value
+
+	ra.needCopyOnWrite = append(ra.needCopyOnWrite, false)
+	copy(ra.needCopyOnWrite[i+1:], ra.needCopyOnWrite[i:])
+	ra.needCopyOnWrite[i] = false
+}
+
+func (ra *roaringArray64) remove(key uint32) bool {
+	i := ra.binarySearch(0, int64(len(ra.keys)), key)
+	if i >= 0 { // if a new key
+		ra.removeAtIndex(i)
+		return true
+	}
+	return false
+}
+
+func (ra *roaringArray64) removeAtIndex(i int) {
+	copy(ra.keys[i:], ra.keys[i+1:])
+	copy(ra.containers[i:], ra.containers[i+1:])
+
+	copy(ra.needCopyOnWrite[i:], ra.needCopyOnWrite[i+1:])
+
+	ra.resize(len(ra.keys) - 1)
+}
+
+func (ra *roaringArray64) setContainerAtIndex(i int, c *roaring.Bitmap) {
+	ra.containers[i] = c
+}
+
+func (ra *roaringArray64) replaceKeyAndContainerAtIndex(i int, key uint32, c *roaring.Bitmap, mustCopyOnWrite bool) {
+	ra.keys[i] = key
+	ra.containers[i] = c
+	ra.needCopyOnWrite[i] = mustCopyOnWrite
+}
+
+func (ra *roaringArray64) size() int {
+	return len(ra.keys)
+}
+
+func (ra *roaringArray64) binarySearch(begin, end int64, ikey uint32) int {
+	low := begin
+	high := end - 1
+	for low+16 <= high {
+		middleIndex := low + (high-low)/2 // avoid overflow
+		middleValue := ra.keys[middleIndex]
+
+		if middleValue < ikey {
+			low = middleIndex + 1
+		} else if middleValue > ikey {
+			high = middleIndex - 1
+		} else {
+			return int(middleIndex)
+		}
+	}
+	for ; low <= high; low++ {
+		val := ra.keys[low]
+		if val >= ikey {
+			if val == ikey {
+				return int(low)
+			}
+			break
+		}
+	}
+	return -int(low + 1)
+}
+
+func (ra *roaringArray64) equals(o interface{}) bool {
+	srb, ok := o.(roaringArray64)
+	if ok {
+
+		if srb.size() != ra.size() {
+			return false
+		}
+		for i, k := range ra.keys {
+			if k != srb.keys[i] {
+				return false
+			}
+		}
+
+		for i, c := range ra.containers {
+			if !c.Equals(srb.containers[i]) {
+				return false
+			}
+		}
+		return true
+	}
+	return false
+}
+
+func (ra *roaringArray64) hasRunCompression() bool {
+	for _, c := range ra.containers {
+		if c.HasRunCompression() {
+			return true
+		}
+	}
+	return false
+}
+
+/**
+ * Find the smallest integer index strictly larger than pos such that array[index].key&gt;=min. If none can
+ * be found, return size. Based on code by O. Kaser.
+ *
+ * @param min minimal value
+ * @param pos index to exceed
+ * @return the smallest index greater than pos such that array[index].key is at least as large as
+ *         min, or size if it is not possible.
+ */
+func (ra *roaringArray64) advanceUntil(min uint32, pos int) int {
+	lower := pos + 1
+
+	if lower >= len(ra.keys) || ra.keys[lower] >= min {
+		return lower
+	}
+
+	spansize := 1
+
+	for lower+spansize < len(ra.keys) && ra.keys[lower+spansize] < min {
+		spansize *= 2
+	}
+	var upper int
+	if lower+spansize < len(ra.keys) {
+		upper = lower + spansize
+	} else {
+		upper = len(ra.keys) - 1
+	}
+
+	if ra.keys[upper] == min {
+		return upper
+	}
+
+	if ra.keys[upper] < min {
+		// means
+		// array
+		// has no
+		// item
+		// >= min
+		// pos = array.length;
+		return len(ra.keys)
+	}
+
+	// we know that the next-smallest span was too small
+	lower += (spansize >> 1)
+
+	mid := 0
+	for lower+1 != upper {
+		mid = (lower + upper) >> 1
+		if ra.keys[mid] == min {
+			return mid
+		} else if ra.keys[mid] < min {
+			lower = mid
+		} else {
+			upper = mid
+		}
+	}
+	return upper
+}
+
+func (ra *roaringArray64) markAllAsNeedingCopyOnWrite() {
+	for i := range ra.needCopyOnWrite {
+		ra.needCopyOnWrite[i] = true
+	}
+}
+
+func (ra *roaringArray64) needsCopyOnWrite(i int) bool {
+	return ra.needCopyOnWrite[i]
+}
+
+func (ra *roaringArray64) setNeedsCopyOnWrite(i int) {
+	ra.needCopyOnWrite[i] = true
+}
+
+// should be dirt cheap
+func (ra *roaringArray64) serializedSizeInBytes() uint64 {
+	answer := uint64(8)
+	for _, c := range ra.containers {
+		answer += 4
+		answer += c.GetSerializedSizeInBytes()
+	}
+	return answer
+}
+
+func (ra *roaringArray64) checkKeysSorted() bool {
+	if len(ra.keys) == 0 || len(ra.keys) == 1 {
+		return true
+	}
+	previous := ra.keys[0]
+	for nextIdx := 1; nextIdx < len(ra.keys); nextIdx++ {
+		next := ra.keys[nextIdx]
+		if previous >= next {
+			return false
+		}
+		previous = next
+
+	}
+	return true
+}
+
+// validate checks the referential integrity
+// ensures len(keys) == len(containers), recurses and checks each container type
+func (ra *roaringArray64) validate() error {
+	if !ra.checkKeysSorted() {
+		return ErrKeySortOrder
+	}
+
+	if len(ra.keys) != len(ra.containers) {
+		return ErrCardinalityConstraint
+	}
+
+	if len(ra.keys) != len(ra.needCopyOnWrite) {
+		return ErrCardinalityConstraint
+	}
+
+	for _, maps := range ra.containers {
+		err := maps.Validate()
+		if err != nil {
+			return err
+		}
+		if maps.IsEmpty() {
+			return errors.New("empty container")
+		}
+	}
+
+	return nil
+}

vendor/github.com/RoaringBitmap/roaring/v2/roaring64/util.go

@@ -0,0 +1,49 @@
+package roaring64
+
+import "github.com/RoaringBitmap/roaring/v2"
+
+func highbits(x uint64) uint32 {
+	return uint32(x >> 32)
+}
+
+func lowbits(x uint64) uint32 {
+	return uint32(x & maxLowBit)
+}
+
+const maxLowBit = roaring.MaxUint32
+const maxUint32 = roaring.MaxUint32
+
+func minOfInt64(a, b int64) int64 {
+	if a < b {
+		return a
+	}
+	return b
+}
+
+func minOfInt(a, b int) int {
+	if a < b {
+		return a
+	}
+	return b
+}
+
+func maxOfInt(a, b int) int {
+	if a > b {
+		return a
+	}
+	return b
+}
+
+func maxOfUint32(a, b uint32) uint32 {
+	if a > b {
+		return a
+	}
+	return b
+}
+
+func minOfUint32(a, b uint32) uint32 {
+	if a < b {
+		return a
+	}
+	return b
+}

vendor/github.com/RoaringBitmap/roaring/v2/roaringarray.go

@@ -0,0 +1,821 @@
+package roaring
+
+import (
+	"bytes"
+	"encoding/binary"
+	"errors"
+	"fmt"
+	"io"
+
+	"github.com/RoaringBitmap/roaring/v2/internal"
+)
+
+type container interface {
+	// addOffset returns the (low, high) parts of the shifted container.
+	// Whenever one of them would be empty, nil will be returned instead to
+	// avoid unnecessary allocations.
+	addOffset(uint16) (container, container)
+
+	clone() container
+	and(container) container
+	andCardinality(container) int
+	iand(container) container // i stands for inplace
+	andNot(container) container
+	iandNot(container) container // i stands for inplace
+	isEmpty() bool
+	getCardinality() int
+	// rank returns the number of integers that are
+	// smaller or equal to x. rank(infinity) would be getCardinality().
+	rank(uint16) int
+
+	iadd(x uint16) bool                   // inplace, returns true if x was new.
+	iaddReturnMinimized(uint16) container // may change return type to minimize storage.
+
+	iaddRange(start, endx int) container // i stands for inplace, range is [firstOfRange,endx)
+
+	iremove(x uint16) bool                   // inplace, returns true if x was present.
+	iremoveReturnMinimized(uint16) container // may change return type to minimize storage.
+
+	not(start, final int) container        // range is [firstOfRange,lastOfRange)
+	inot(firstOfRange, endx int) container // i stands for inplace, range is [firstOfRange,endx)
+	xor(r container) container
+	getShortIterator() shortPeekable
+	getUnsetIterator() shortPeekable
+	iterate(cb func(x uint16) bool) bool
+	getReverseIterator() shortIterable
+	getManyIterator() manyIterable
+	contains(i uint16) bool
+	maximum() uint16
+	minimum() uint16
+
+	// equals is now logical equals; it does not require the
+	// same underlying container types, but compares across
+	// any of the implementations.
+	equals(r container) bool
+
+	fillLeastSignificant16bits(array []uint32, i int, mask uint32) int
+	or(r container) container
+	orCardinality(r container) int
+	isFull() bool
+	ior(r container) container   // i stands for inplace
+	intersects(r container) bool // whether the two containers intersect
+	lazyOR(r container) container
+	lazyIOR(r container) container
+	getSizeInBytes() int
+	iremoveRange(start, final int) container // i stands for inplace, range is [firstOfRange,lastOfRange)
+	selectInt(x uint16) int                  // selectInt returns the xth integer in the container
+	serializedSizeInBytes() int
+	writeTo(io.Writer) (int, error)
+
+	numberOfRuns() int
+	toEfficientContainer() container
+	String() string
+	containerType() contype
+
+	safeMinimum() (uint16, error)
+	safeMaximum() (uint16, error)
+	nextValue(x uint16) int
+	previousValue(x uint16) int
+	nextAbsentValue(x uint16) int
+	previousAbsentValue(x uint16) int
+	validate() error
+}
+
+type contype uint8
+
+const (
+	bitmapContype contype = iota
+	arrayContype
+	run16Contype
+	run32Contype
+)
+
+var (
+	ErrKeySortOrder          = errors.New("keys were out of order")
+	ErrCardinalityConstraint = errors.New("size of arrays was not coherent")
+)
+
+// careful: range is [firstOfRange,lastOfRange]
+func rangeOfOnes(start, last int) container {
+	if start > MaxUint16 {
+		panic("rangeOfOnes called with start > MaxUint16")
+	}
+	if last > MaxUint16 {
+		panic("rangeOfOnes called with last > MaxUint16")
+	}
+	if start < 0 {
+		panic("rangeOfOnes called with start < 0")
+	}
+	if last < 0 {
+		panic("rangeOfOnes called with last < 0")
+	}
+	return newRunContainer16Range(uint16(start), uint16(last)).toEfficientContainer()
+}
+
+type roaringArray struct {
+	keys            []uint16
+	containers      []container `msg:"-"` // don't try to serialize directly.
+	needCopyOnWrite []bool
+	copyOnWrite     bool
+}
+
+func newRoaringArray() *roaringArray {
+	return &roaringArray{}
+}
+
+// runOptimize compresses the element containers to minimize space consumed.
+// Q: how does this interact with copyOnWrite and needCopyOnWrite?
+// A: since we aren't changing the logical content, just the representation,
+//
+//	we don't bother to check the needCopyOnWrite bits. We replace
+//	(possibly all) elements of ra.containers in-place with space
+//	optimized versions.
+func (ra *roaringArray) runOptimize() {
+	for i := range ra.containers {
+		ra.containers[i] = ra.containers[i].toEfficientContainer()
+	}
+}
+
+func (ra *roaringArray) appendContainer(key uint16, value container, mustCopyOnWrite bool) {
+	ra.keys = append(ra.keys, key)
+	ra.containers = append(ra.containers, value)
+	ra.needCopyOnWrite = append(ra.needCopyOnWrite, mustCopyOnWrite)
+}
+
+func (ra *roaringArray) appendWithoutCopy(sa roaringArray, startingindex int) {
+	mustCopyOnWrite := sa.needCopyOnWrite[startingindex]
+	ra.appendContainer(sa.keys[startingindex], sa.containers[startingindex], mustCopyOnWrite)
+}
+
+func (ra *roaringArray) appendCopy(sa roaringArray, startingindex int) {
+	// cow only if the two request it, or if we already have a lightweight copy
+	copyonwrite := (ra.copyOnWrite && sa.copyOnWrite) || sa.needsCopyOnWrite(startingindex)
+	if !copyonwrite {
+		// since there is no copy-on-write, we need to clone the container (this is important)
+		ra.appendContainer(sa.keys[startingindex], sa.containers[startingindex].clone(), copyonwrite)
+	} else {
+		ra.appendContainer(sa.keys[startingindex], sa.containers[startingindex], copyonwrite)
+		if !sa.needsCopyOnWrite(startingindex) {
+			sa.setNeedsCopyOnWrite(startingindex)
+		}
+	}
+}
+
+func (ra *roaringArray) appendWithoutCopyMany(sa roaringArray, startingindex, end int) {
+	for i := startingindex; i < end; i++ {
+		ra.appendWithoutCopy(sa, i)
+	}
+}
+
+func (ra *roaringArray) appendCopyMany(sa roaringArray, startingindex, end int) {
+	for i := startingindex; i < end; i++ {
+		ra.appendCopy(sa, i)
+	}
+}
+
+func (ra *roaringArray) appendCopiesUntil(sa roaringArray, stoppingKey uint16) {
+	// cow only if the two request it, or if we already have a lightweight copy
+	copyonwrite := ra.copyOnWrite && sa.copyOnWrite
+
+	for i := 0; i < sa.size(); i++ {
+		if sa.keys[i] >= stoppingKey {
+			break
+		}
+		thiscopyonewrite := copyonwrite || sa.needsCopyOnWrite(i)
+		if thiscopyonewrite {
+			ra.appendContainer(sa.keys[i], sa.containers[i], thiscopyonewrite)
+			if !sa.needsCopyOnWrite(i) {
+				sa.setNeedsCopyOnWrite(i)
+			}
+
+		} else {
+			// since there is no copy-on-write, we need to clone the container (this is important)
+			ra.appendContainer(sa.keys[i], sa.containers[i].clone(), thiscopyonewrite)
+		}
+	}
+}
+
+func (ra *roaringArray) appendCopiesAfter(sa roaringArray, beforeStart uint16) {
+	// cow only if the two request it, or if we already have a lightweight copy
+	copyonwrite := ra.copyOnWrite && sa.copyOnWrite
+
+	startLocation := sa.getIndex(beforeStart)
+	if startLocation >= 0 {
+		startLocation++
+	} else {
+		startLocation = -startLocation - 1
+	}
+
+	for i := startLocation; i < sa.size(); i++ {
+		thiscopyonewrite := copyonwrite || sa.needsCopyOnWrite(i)
+		if thiscopyonewrite {
+			ra.appendContainer(sa.keys[i], sa.containers[i], thiscopyonewrite)
+			if !sa.needsCopyOnWrite(i) {
+				sa.setNeedsCopyOnWrite(i)
+			}
+		} else {
+			// since there is no copy-on-write, we need to clone the container (this is important)
+			ra.appendContainer(sa.keys[i], sa.containers[i].clone(), thiscopyonewrite)
+		}
+	}
+}
+
+func (ra *roaringArray) removeIndexRange(begin, end int) {
+	if end <= begin {
+		return
+	}
+
+	r := end - begin
+
+	copy(ra.keys[begin:], ra.keys[end:])
+	copy(ra.containers[begin:], ra.containers[end:])
+	copy(ra.needCopyOnWrite[begin:], ra.needCopyOnWrite[end:])
+
+	ra.resize(len(ra.keys) - r)
+}
+
+func (ra *roaringArray) resize(newsize int) {
+	for k := newsize; k < len(ra.containers); k++ {
+		ra.containers[k] = nil
+	}
+
+	ra.keys = ra.keys[:newsize]
+	ra.containers = ra.containers[:newsize]
+	ra.needCopyOnWrite = ra.needCopyOnWrite[:newsize]
+}
+
+func (ra *roaringArray) clear() {
+	ra.resize(0)
+	ra.copyOnWrite = false
+}
+
+func (ra *roaringArray) clone() *roaringArray {
+	sa := roaringArray{}
+	sa.copyOnWrite = ra.copyOnWrite
+
+	// this is where copyOnWrite is used.
+	if ra.copyOnWrite {
+		sa.keys = make([]uint16, len(ra.keys))
+		copy(sa.keys, ra.keys)
+		sa.containers = make([]container, len(ra.containers))
+		copy(sa.containers, ra.containers)
+		sa.needCopyOnWrite = make([]bool, len(ra.needCopyOnWrite))
+
+		ra.markAllAsNeedingCopyOnWrite()
+		sa.markAllAsNeedingCopyOnWrite()
+
+		// sa.needCopyOnWrite is shared
+	} else {
+		// make a full copy
+
+		sa.keys = make([]uint16, len(ra.keys))
+		copy(sa.keys, ra.keys)
+
+		sa.containers = make([]container, len(ra.containers))
+		for i := range sa.containers {
+			sa.containers[i] = ra.containers[i].clone()
+		}
+
+		sa.needCopyOnWrite = make([]bool, len(ra.needCopyOnWrite))
+	}
+	return &sa
+}
+
+// clone all containers which have needCopyOnWrite set to true
+// This can be used to make sure it is safe to munmap a []byte
+// that the roaring array may still have a reference to.
+func (ra *roaringArray) cloneCopyOnWriteContainers() {
+	for i, needCopyOnWrite := range ra.needCopyOnWrite {
+		if needCopyOnWrite {
+			ra.containers[i] = ra.containers[i].clone()
+			ra.needCopyOnWrite[i] = false
+		}
+	}
+}
+
+// unused function:
+//func (ra *roaringArray) containsKey(x uint16) bool {
+//	return (ra.binarySearch(0, int64(len(ra.keys)), x) >= 0)
+//}
+
+// getContainer returns the container with key `x`
+// if no such container exists `nil` is returned
+func (ra *roaringArray) getContainer(x uint16) container {
+	i := ra.binarySearch(0, int64(len(ra.keys)), x)
+	if i < 0 {
+		return nil
+	}
+	return ra.containers[i]
+}
+
+func (ra *roaringArray) getContainerAtIndex(i int) container {
+	return ra.containers[i]
+}
+
+func (ra *roaringArray) getFastContainerAtIndex(i int, needsWriteable bool) container {
+	c := ra.getContainerAtIndex(i)
+	switch t := c.(type) {
+	case *arrayContainer:
+		c = t.toBitmapContainer()
+	case *runContainer16:
+		if !t.isFull() {
+			c = t.toBitmapContainer()
+		}
+	case *bitmapContainer:
+		if needsWriteable && ra.needCopyOnWrite[i] {
+			c = ra.containers[i].clone()
+		}
+	}
+	return c
+}
+
+// getUnionedWritableContainer switches behavior for in-place Or
+// depending on whether the container requires a copy on write.
+// If it does using the non-inplace or() method leads to fewer allocations.
+func (ra *roaringArray) getUnionedWritableContainer(pos int, other container) container {
+	if ra.needCopyOnWrite[pos] {
+		return ra.getContainerAtIndex(pos).or(other)
+	}
+	return ra.getContainerAtIndex(pos).ior(other)
+}
+
+func (ra *roaringArray) getWritableContainerAtIndex(i int) container {
+	if ra.needCopyOnWrite[i] {
+		ra.containers[i] = ra.containers[i].clone()
+		ra.needCopyOnWrite[i] = false
+	}
+	return ra.containers[i]
+}
+
+// getIndex returns the index of the container with key `x`
+// if no such container exists a negative value is returned
+func (ra *roaringArray) getIndex(x uint16) int {
+	// Todo : test
+	// before the binary search, we optimize for frequent cases
+	size := len(ra.keys)
+	if (size == 0) || (ra.keys[size-1] == x) {
+		return size - 1
+	}
+	return ra.binarySearch(0, int64(size), x)
+}
+
+func (ra *roaringArray) getKeyAtIndex(i int) uint16 {
+	return ra.keys[i]
+}
+
+func (ra *roaringArray) insertNewKeyValueAt(i int, key uint16, value container) {
+	ra.keys = append(ra.keys, 0)
+	ra.containers = append(ra.containers, nil)
+
+	copy(ra.keys[i+1:], ra.keys[i:])
+	copy(ra.containers[i+1:], ra.containers[i:])
+
+	ra.keys[i] = key
+	ra.containers[i] = value
+
+	ra.needCopyOnWrite = append(ra.needCopyOnWrite, false)
+	copy(ra.needCopyOnWrite[i+1:], ra.needCopyOnWrite[i:])
+	ra.needCopyOnWrite[i] = false
+}
+
+func (ra *roaringArray) remove(key uint16) bool {
+	i := ra.binarySearch(0, int64(len(ra.keys)), key)
+	if i >= 0 { // if a new key
+		ra.removeAtIndex(i)
+		return true
+	}
+	return false
+}
+
+func (ra *roaringArray) removeAtIndex(i int) {
+	copy(ra.keys[i:], ra.keys[i+1:])
+	copy(ra.containers[i:], ra.containers[i+1:])
+
+	copy(ra.needCopyOnWrite[i:], ra.needCopyOnWrite[i+1:])
+
+	ra.resize(len(ra.keys) - 1)
+}
+
+func (ra *roaringArray) setContainerAtIndex(i int, c container) {
+	ra.containers[i] = c
+}
+
+func (ra *roaringArray) replaceKeyAndContainerAtIndex(i int, key uint16, c container, mustCopyOnWrite bool) {
+	ra.keys[i] = key
+	ra.containers[i] = c
+	ra.needCopyOnWrite[i] = mustCopyOnWrite
+}
+
+func (ra *roaringArray) size() int {
+	return len(ra.keys)
+}
+
+// binarySearch returns the index of the key.
+// negative value returned if not found
+func (ra *roaringArray) binarySearch(begin, end int64, ikey uint16) int {
+	// TODO: add unit tests
+	low := begin
+	high := end - 1
+	for low+16 <= high {
+		middleIndex := low + (high-low)/2 // avoid overflow
+		middleValue := ra.keys[middleIndex]
+
+		if middleValue < ikey {
+			low = middleIndex + 1
+		} else if middleValue > ikey {
+			high = middleIndex - 1
+		} else {
+			return int(middleIndex)
+		}
+	}
+	for ; low <= high; low++ {
+		val := ra.keys[low]
+		if val >= ikey {
+			if val == ikey {
+				return int(low)
+			}
+			break
+		}
+	}
+	return -int(low + 1)
+}
+
+func (ra *roaringArray) equals(o interface{}) bool {
+	srb, ok := o.(roaringArray)
+	if ok {
+
+		if srb.size() != ra.size() {
+			return false
+		}
+		for i, k := range ra.keys {
+			if k != srb.keys[i] {
+				return false
+			}
+		}
+
+		for i, c := range ra.containers {
+			if !c.equals(srb.containers[i]) {
+				return false
+			}
+		}
+		return true
+	}
+	return false
+}
+
+func (ra *roaringArray) headerSize() uint64 {
+	size := uint64(len(ra.keys))
+	if ra.hasRunCompression() {
+		if size < noOffsetThreshold { // for small bitmaps, we omit the offsets
+			return 4 + (size+7)/8 + 4*size
+		}
+		return 4 + (size+7)/8 + 8*size // - 4 because we pack the size with the cookie
+	}
+	return 4 + 4 + 8*size
+}
+
+// should be dirt cheap
+func (ra *roaringArray) serializedSizeInBytes() uint64 {
+	answer := ra.headerSize()
+	for _, c := range ra.containers {
+		answer += uint64(c.serializedSizeInBytes())
+	}
+	return answer
+}
+
+// spec: https://github.com/RoaringBitmap/RoaringFormatSpec
+func (ra *roaringArray) writeTo(w io.Writer) (n int64, err error) {
+	hasRun := ra.hasRunCompression()
+	isRunSizeInBytes := 0
+	cookieSize := 8
+	if hasRun {
+		cookieSize = 4
+		isRunSizeInBytes = (len(ra.keys) + 7) / 8
+	}
+	descriptiveHeaderSize := 4 * len(ra.keys)
+	preambleSize := cookieSize + isRunSizeInBytes + descriptiveHeaderSize
+
+	buf := make([]byte, preambleSize+4*len(ra.keys))
+
+	nw := 0
+
+	if hasRun {
+		binary.LittleEndian.PutUint16(buf[0:], uint16(serialCookie))
+		nw += 2
+		binary.LittleEndian.PutUint16(buf[2:], uint16(len(ra.keys)-1))
+		nw += 2
+		// compute isRun bitmap without temporary allocation
+		runbitmapslice := buf[nw : nw+isRunSizeInBytes]
+		for i, c := range ra.containers {
+			switch c.(type) {
+			case *runContainer16:
+				runbitmapslice[i/8] |= 1 << (uint(i) % 8)
+			}
+		}
+		nw += isRunSizeInBytes
+	} else {
+		binary.LittleEndian.PutUint32(buf[0:], uint32(serialCookieNoRunContainer))
+		nw += 4
+		binary.LittleEndian.PutUint32(buf[4:], uint32(len(ra.keys)))
+		nw += 4
+	}
+
+	// descriptive header
+	for i, key := range ra.keys {
+		binary.LittleEndian.PutUint16(buf[nw:], key)
+		nw += 2
+		c := ra.containers[i]
+		binary.LittleEndian.PutUint16(buf[nw:], uint16(c.getCardinality()-1))
+		nw += 2
+	}
+
+	startOffset := int64(preambleSize + 4*len(ra.keys))
+	if !hasRun || (len(ra.keys) >= noOffsetThreshold) {
+		// offset header
+		for _, c := range ra.containers {
+			binary.LittleEndian.PutUint32(buf[nw:], uint32(startOffset))
+			nw += 4
+			switch rc := c.(type) {
+			case *runContainer16:
+				startOffset += 2 + int64(len(rc.iv))*4
+			default:
+				startOffset += int64(getSizeInBytesFromCardinality(c.getCardinality()))
+			}
+		}
+	}
+
+	written, err := w.Write(buf[:nw])
+	if err != nil {
+		return n, err
+	}
+	n += int64(written)
+
+	for _, c := range ra.containers {
+		written, err := c.writeTo(w)
+		if err != nil {
+			return n, err
+		}
+		n += int64(written)
+	}
+	return n, nil
+}
+
+// spec: https://github.com/RoaringBitmap/RoaringFormatSpec
+func (ra *roaringArray) toBytes() ([]byte, error) {
+	var buf bytes.Buffer
+	_, err := ra.writeTo(&buf)
+	return buf.Bytes(), err
+}
+
+// Reads a serialized roaringArray from a byte slice.
+func (ra *roaringArray) readFrom(stream internal.ByteInput, cookieHeader ...byte) (int64, error) {
+	var cookie uint32
+	var err error
+	if len(cookieHeader) > 0 && len(cookieHeader) != 4 {
+		return int64(len(cookieHeader)), fmt.Errorf("error in roaringArray.readFrom: could not read initial cookie: incorrect size of cookie header")
+	}
+	if len(cookieHeader) == 4 {
+		cookie = binary.LittleEndian.Uint32(cookieHeader)
+	} else {
+		cookie, err = stream.ReadUInt32()
+		if err != nil {
+			return stream.GetReadBytes(), fmt.Errorf("error in roaringArray.readFrom: could not read initial cookie: %s", err)
+		}
+	}
+	// If NextReturnsSafeSlice is false, then willNeedCopyOnWrite should be true
+	willNeedCopyOnWrite := !stream.NextReturnsSafeSlice()
+
+	var size uint32
+	var isRunBitmap []byte
+
+	if cookie&0x0000FFFF == serialCookie {
+		size = uint32(cookie>>16 + 1)
+		// create is-run-container bitmap
+		isRunBitmapSize := (int(size) + 7) / 8
+		isRunBitmap, err = stream.Next(isRunBitmapSize)
+		if err != nil {
+			return stream.GetReadBytes(), fmt.Errorf("malformed bitmap, failed to read is-run bitmap, got: %s", err)
+		}
+	} else if cookie == serialCookieNoRunContainer {
+		size, err = stream.ReadUInt32()
+		if err != nil {
+			return stream.GetReadBytes(), fmt.Errorf("malformed bitmap, failed to read a bitmap size: %s", err)
+		}
+	} else {
+		return stream.GetReadBytes(), fmt.Errorf("error in roaringArray.readFrom: did not find expected serialCookie in header")
+	}
+
+	if size > (1 << 16) {
+		return stream.GetReadBytes(), fmt.Errorf("it is logically impossible to have more than (1<<16) containers")
+	}
+
+	// descriptive header
+	buf, err := stream.Next(2 * 2 * int(size))
+	if err != nil {
+		return stream.GetReadBytes(), fmt.Errorf("failed to read descriptive header: %s", err)
+	}
+
+	keycard := byteSliceAsUint16Slice(buf)
+
+	if isRunBitmap == nil || size >= noOffsetThreshold {
+		if err := stream.SkipBytes(int(size) * 4); err != nil {
+			return stream.GetReadBytes(), fmt.Errorf("failed to skip bytes: %s", err)
+		}
+	}
+
+	// Allocate slices upfront as number of containers is known
+	if cap(ra.containers) >= int(size) {
+		ra.containers = ra.containers[:size]
+	} else {
+		ra.containers = make([]container, size)
+	}
+
+	if cap(ra.keys) >= int(size) {
+		ra.keys = ra.keys[:size]
+	} else {
+		ra.keys = make([]uint16, size)
+	}
+
+	if cap(ra.needCopyOnWrite) >= int(size) {
+		ra.needCopyOnWrite = ra.needCopyOnWrite[:size]
+	} else {
+		ra.needCopyOnWrite = make([]bool, size)
+	}
+
+	for i := uint32(0); i < size; i++ {
+		key := keycard[2*i]
+		card := int(keycard[2*i+1]) + 1
+		ra.keys[i] = key
+		ra.needCopyOnWrite[i] = willNeedCopyOnWrite
+
+		if isRunBitmap != nil && isRunBitmap[i/8]&(1<<(i%8)) != 0 {
+			// run container
+			nr, err := stream.ReadUInt16()
+			if err != nil {
+				return 0, fmt.Errorf("failed to read runtime container size: %s", err)
+			}
+
+			buf, err := stream.Next(int(nr) * 4)
+			if err != nil {
+				return stream.GetReadBytes(), fmt.Errorf("failed to read runtime container content: %s", err)
+			}
+
+			nb := runContainer16{
+				iv: byteSliceAsInterval16Slice(buf),
+			}
+
+			ra.containers[i] = &nb
+		} else if card > arrayDefaultMaxSize {
+			// bitmap container
+			buf, err := stream.Next(arrayDefaultMaxSize * 2)
+			if err != nil {
+				return stream.GetReadBytes(), fmt.Errorf("failed to read bitmap container: %s", err)
+			}
+
+			nb := bitmapContainer{
+				cardinality: card,
+				bitmap:      byteSliceAsUint64Slice(buf),
+			}
+
+			ra.containers[i] = &nb
+		} else {
+			// array container
+			buf, err := stream.Next(card * 2)
+			if err != nil {
+				return stream.GetReadBytes(), fmt.Errorf("failed to read array container: %s", err)
+			}
+
+			nb := arrayContainer{
+				byteSliceAsUint16Slice(buf),
+			}
+
+			ra.containers[i] = &nb
+		}
+	}
+
+	return stream.GetReadBytes(), nil
+}
+
+func (ra *roaringArray) hasRunCompression() bool {
+	for _, c := range ra.containers {
+		switch c.(type) {
+		case *runContainer16:
+			return true
+		}
+	}
+	return false
+}
+
+/**
+ * Find the smallest integer index larger than pos such that array[index].key&gt;=min. If none can
+ * be found, return size. Based on code by O. Kaser.
+ *
+ * @param min minimal value
+ * @param pos index to exceed
+ * @return the smallest index greater than pos such that array[index].key is at least as large as
+ *         min, or size if it is not possible.
+ */
+func (ra *roaringArray) advanceUntil(min uint16, pos int) int {
+	lower := pos + 1
+
+	if lower >= len(ra.keys) || ra.keys[lower] >= min {
+		return lower
+	}
+
+	spansize := 1
+
+	for lower+spansize < len(ra.keys) && ra.keys[lower+spansize] < min {
+		spansize *= 2
+	}
+	var upper int
+	if lower+spansize < len(ra.keys) {
+		upper = lower + spansize
+	} else {
+		upper = len(ra.keys) - 1
+	}
+
+	if ra.keys[upper] == min {
+		return upper
+	}
+
+	if ra.keys[upper] < min {
+		// means
+		// array
+		// has no
+		// item
+		// >= min
+		// pos = array.length;
+		return len(ra.keys)
+	}
+
+	// we know that the next-smallest span was too small
+	lower += (spansize >> 1)
+
+	mid := 0
+	for lower+1 != upper {
+		mid = (lower + upper) >> 1
+		if ra.keys[mid] == min {
+			return mid
+		} else if ra.keys[mid] < min {
+			lower = mid
+		} else {
+			upper = mid
+		}
+	}
+	return upper
+}
+
+func (ra *roaringArray) markAllAsNeedingCopyOnWrite() {
+	for i := range ra.needCopyOnWrite {
+		ra.needCopyOnWrite[i] = true
+	}
+}
+
+func (ra *roaringArray) needsCopyOnWrite(i int) bool {
+	return ra.needCopyOnWrite[i]
+}
+
+func (ra *roaringArray) setNeedsCopyOnWrite(i int) {
+	ra.needCopyOnWrite[i] = true
+}
+
+func (ra *roaringArray) checkKeysSorted() bool {
+	if len(ra.keys) == 0 || len(ra.keys) == 1 {
+		return true
+	}
+	previous := ra.keys[0]
+	for nextIdx := 1; nextIdx < len(ra.keys); nextIdx++ {
+		next := ra.keys[nextIdx]
+		if previous >= next {
+			return false
+		}
+		previous = next
+
+	}
+	return true
+}
+
+// validate checks the referential integrity
+// ensures len(keys) == len(containers), recurses and checks each container type
+func (ra *roaringArray) validate() error {
+	if !ra.checkKeysSorted() {
+		return ErrKeySortOrder
+	}
+
+	if len(ra.keys) != len(ra.containers) {
+		return ErrCardinalityConstraint
+	}
+
+	if len(ra.keys) != len(ra.needCopyOnWrite) {
+		return ErrCardinalityConstraint
+	}
+
+	for _, container := range ra.containers {
+		err := container.validate()
+		if err != nil {
+			return err
+		}
+	}
+
+	return nil
+}

vendor/github.com/RoaringBitmap/roaring/v2/serialization.go

@@ -0,0 +1,18 @@
+package roaring
+
+import (
+	"encoding/binary"
+	"io"
+)
+
+// writeTo for runContainer16 follows this
+// spec: https://github.com/RoaringBitmap/RoaringFormatSpec
+func (b *runContainer16) writeTo(stream io.Writer) (int, error) {
+	buf := make([]byte, 2+4*len(b.iv))
+	binary.LittleEndian.PutUint16(buf[0:], uint16(len(b.iv)))
+	for i, v := range b.iv {
+		binary.LittleEndian.PutUint16(buf[2+i*4:], v.start)
+		binary.LittleEndian.PutUint16(buf[2+2+i*4:], v.length)
+	}
+	return stream.Write(buf)
+}

vendor/github.com/RoaringBitmap/roaring/v2/serialization_generic.go

@@ -0,0 +1,145 @@
+//go:build (!amd64 && !386 && !arm && !arm64 && !ppc64le && !mipsle && !mips64le && !mips64p32le && !wasm) || appengine
+// +build !amd64,!386,!arm,!arm64,!ppc64le,!mipsle,!mips64le,!mips64p32le,!wasm appengine
+
+package roaring
+
+import (
+	"encoding/binary"
+	"errors"
+	"io"
+)
+
+func (b *arrayContainer) writeTo(stream io.Writer) (int, error) {
+	buf := make([]byte, 2*len(b.content))
+	for i, v := range b.content {
+		base := i * 2
+		buf[base] = byte(v)
+		buf[base+1] = byte(v >> 8)
+	}
+	return stream.Write(buf)
+}
+
+func (b *arrayContainer) readFrom(stream io.Reader) (int, error) {
+	err := binary.Read(stream, binary.LittleEndian, b.content)
+	if err != nil {
+		return 0, err
+	}
+	return 2 * len(b.content), nil
+}
+
+func (b *bitmapContainer) writeTo(stream io.Writer) (int, error) {
+	if b.cardinality <= arrayDefaultMaxSize {
+		return 0, errors.New("refusing to write bitmap container with cardinality of array container")
+	}
+
+	// Write set
+	buf := make([]byte, 8*len(b.bitmap))
+	for i, v := range b.bitmap {
+		base := i * 8
+		buf[base] = byte(v)
+		buf[base+1] = byte(v >> 8)
+		buf[base+2] = byte(v >> 16)
+		buf[base+3] = byte(v >> 24)
+		buf[base+4] = byte(v >> 32)
+		buf[base+5] = byte(v >> 40)
+		buf[base+6] = byte(v >> 48)
+		buf[base+7] = byte(v >> 56)
+	}
+	return stream.Write(buf)
+}
+
+func (b *bitmapContainer) readFrom(stream io.Reader) (int, error) {
+	err := binary.Read(stream, binary.LittleEndian, b.bitmap)
+	if err != nil {
+		return 0, err
+	}
+	b.computeCardinality()
+	return 8 * len(b.bitmap), nil
+}
+
+func (bc *bitmapContainer) asLittleEndianByteSlice() []byte {
+	by := make([]byte, len(bc.bitmap)*8)
+	for i := range bc.bitmap {
+		binary.LittleEndian.PutUint64(by[i*8:], bc.bitmap[i])
+	}
+	return by
+}
+
+func uint64SliceAsByteSlice(slice []uint64) []byte {
+	by := make([]byte, len(slice)*8)
+
+	for i, v := range slice {
+		binary.LittleEndian.PutUint64(by[i*8:], v)
+	}
+
+	return by
+}
+
+func uint16SliceAsByteSlice(slice []uint16) []byte {
+	by := make([]byte, len(slice)*2)
+
+	for i, v := range slice {
+		binary.LittleEndian.PutUint16(by[i*2:], v)
+	}
+
+	return by
+}
+
+func interval16SliceAsByteSlice(slice []interval16) []byte {
+	by := make([]byte, len(slice)*4)
+
+	for i, v := range slice {
+		binary.LittleEndian.PutUint16(by[i*2:], v.start)
+		binary.LittleEndian.PutUint16(by[i*2+2:], v.length)
+	}
+
+	return by
+}
+
+func byteSliceAsUint16Slice(slice []byte) []uint16 {
+	if len(slice)%2 != 0 {
+		panic("Slice size should be divisible by 2")
+	}
+
+	b := make([]uint16, len(slice)/2)
+
+	for i := range b {
+		b[i] = binary.LittleEndian.Uint16(slice[2*i:])
+	}
+
+	return b
+}
+
+func byteSliceAsUint64Slice(slice []byte) []uint64 {
+	if len(slice)%8 != 0 {
+		panic("Slice size should be divisible by 8")
+	}
+
+	b := make([]uint64, len(slice)/8)
+
+	for i := range b {
+		b[i] = binary.LittleEndian.Uint64(slice[8*i:])
+	}
+
+	return b
+}
+
+// Converts a byte slice to a interval16 slice.
+// The function assumes that the slice byte buffer is run container data
+// encoded according to Roaring Format Spec
+func byteSliceAsInterval16Slice(byteSlice []byte) []interval16 {
+	if len(byteSlice)%4 != 0 {
+		panic("Slice size should be divisible by 4")
+	}
+
+	intervalSlice := make([]interval16, len(byteSlice)/4)
+
+	for i := range intervalSlice {
+		intervalSlice[i] = interval16{
+			start:  binary.LittleEndian.Uint16(byteSlice[i*4:]),
+			length: binary.LittleEndian.Uint16(byteSlice[i*4+2:]),
+		}
+	}
+
+	return intervalSlice
+}

vendor/github.com/RoaringBitmap/roaring/v2/serialization_littleendian.go

@@ -0,0 +1,671 @@
+//go:build (386 && !appengine) || (amd64 && !appengine) || (arm && !appengine) || (arm64 && !appengine) || (ppc64le && !appengine) || (mipsle && !appengine) || (mips64le && !appengine) || (mips64p32le && !appengine) || (wasm && !appengine)
+// +build 386,!appengine amd64,!appengine arm,!appengine arm64,!appengine ppc64le,!appengine mipsle,!appengine mips64le,!appengine mips64p32le,!appengine wasm,!appengine
+
+package roaring
+
+import (
+	"encoding/binary"
+	"errors"
+	"io"
+	"reflect"
+	"runtime"
+	"unsafe"
+)
+
+func (ac *arrayContainer) writeTo(stream io.Writer) (int, error) {
+	buf := uint16SliceAsByteSlice(ac.content)
+	return stream.Write(buf)
+}
+
+func (bc *bitmapContainer) writeTo(stream io.Writer) (int, error) {
+	if bc.cardinality <= arrayDefaultMaxSize {
+		return 0, errors.New("refusing to write bitmap container with cardinality of array container")
+	}
+	buf := uint64SliceAsByteSlice(bc.bitmap)
+	return stream.Write(buf)
+}
+
+func uint64SliceAsByteSlice(slice []uint64) []byte {
+	// make a new slice header
+	header := *(*reflect.SliceHeader)(unsafe.Pointer(&slice))
+
+	// update its capacity and length
+	header.Len *= 8
+	header.Cap *= 8
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	result := *(*[]byte)(unsafe.Pointer(&header))
+	runtime.KeepAlive(&slice)
+
+	// return it
+	return result
+}
+
+func uint16SliceAsByteSlice(slice []uint16) []byte {
+	// make a new slice header
+	header := *(*reflect.SliceHeader)(unsafe.Pointer(&slice))
+
+	// update its capacity and length
+	header.Len *= 2
+	header.Cap *= 2
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	result := *(*[]byte)(unsafe.Pointer(&header))
+	runtime.KeepAlive(&slice)
+
+	// return it
+	return result
+}
+
+func interval16SliceAsByteSlice(slice []interval16) []byte {
+	// make a new slice header
+	header := *(*reflect.SliceHeader)(unsafe.Pointer(&slice))
+
+	// update its capacity and length
+	header.Len *= 4
+	header.Cap *= 4
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	result := *(*[]byte)(unsafe.Pointer(&header))
+	runtime.KeepAlive(&slice)
+
+	// return it
+	return result
+}
+
+func (bc *bitmapContainer) asLittleEndianByteSlice() []byte {
+	return uint64SliceAsByteSlice(bc.bitmap)
+}
+
+// Deserialization code follows
+
+// //
+// These methods (byteSliceAsUint16Slice,...) do not make copies,
+// they are pointer-based (unsafe). The caller is responsible to
+// ensure that the input slice does not get garbage collected, deleted
+// or modified while you hold the returned slince.
+// //
+func byteSliceAsUint16Slice(slice []byte) (result []uint16) { // here we create a new slice holder
+	if len(slice)%2 != 0 {
+		panic("Slice size should be divisible by 2")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / 2
+	rHeader.Cap = bHeader.Cap / 2
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsUint64Slice(slice []byte) (result []uint64) {
+	if len(slice)%8 != 0 {
+		panic("Slice size should be divisible by 8")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / 8
+	rHeader.Cap = bHeader.Cap / 8
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsInterval16Slice(slice []byte) (result []interval16) {
+	if len(slice)%4 != 0 {
+		panic("Slice size should be divisible by 4")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / 4
+	rHeader.Cap = bHeader.Cap / 4
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsContainerSlice(slice []byte) (result []container) {
+	var c container
+	containerSize := int(unsafe.Sizeof(c))
+
+	if len(slice)%containerSize != 0 {
+		panic("Slice size should be divisible by unsafe.Sizeof(container)")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / containerSize
+	rHeader.Cap = bHeader.Cap / containerSize
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsBitsetSlice(slice []byte) (result []bitmapContainer) {
+	bitsetSize := int(unsafe.Sizeof(bitmapContainer{}))
+	if len(slice)%bitsetSize != 0 {
+		panic("Slice size should be divisible by unsafe.Sizeof(bitmapContainer)")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / bitsetSize
+	rHeader.Cap = bHeader.Cap / bitsetSize
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsArraySlice(slice []byte) (result []arrayContainer) {
+	arraySize := int(unsafe.Sizeof(arrayContainer{}))
+	if len(slice)%arraySize != 0 {
+		panic("Slice size should be divisible by unsafe.Sizeof(arrayContainer)")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / arraySize
+	rHeader.Cap = bHeader.Cap / arraySize
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsRun16Slice(slice []byte) (result []runContainer16) {
+	run16Size := int(unsafe.Sizeof(runContainer16{}))
+	if len(slice)%run16Size != 0 {
+		panic("Slice size should be divisible by unsafe.Sizeof(runContainer16)")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / run16Size
+	rHeader.Cap = bHeader.Cap / run16Size
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+func byteSliceAsBoolSlice(slice []byte) (result []bool) {
+	boolSize := int(unsafe.Sizeof(true))
+	if len(slice)%boolSize != 0 {
+		panic("Slice size should be divisible by unsafe.Sizeof(bool)")
+	}
+	// reference: https://go101.org/article/unsafe.html
+
+	// make a new slice header
+	bHeader := (*reflect.SliceHeader)(unsafe.Pointer(&slice))
+	rHeader := (*reflect.SliceHeader)(unsafe.Pointer(&result))
+
+	// transfer the data from the given slice to a new variable (our result)
+	rHeader.Data = bHeader.Data
+	rHeader.Len = bHeader.Len / boolSize
+	rHeader.Cap = bHeader.Cap / boolSize
+
+	// instantiate result and use KeepAlive so data isn't unmapped.
+	runtime.KeepAlive(&slice) // it is still crucial, GC can free it)
+
+	// return result
+	return
+}
+
+// FrozenView creates a static view of a serialized bitmap stored in buf.
+// It uses CRoaring's frozen bitmap format.
+//
+// The format specification is available here:
+// https://github.com/RoaringBitmap/CRoaring/blob/2c867e9f9c9e2a3a7032791f94c4c7ae3013f6e0/src/roaring.c#L2756-L2783
+//
+// The provided byte array (buf) is expected to be a constant.
+// The function makes the best effort attempt not to copy data.
+// Only little endian is supported. The function will err if it detects a big
+// endian serialized file.
+// You should take care not to modify buff as it will likely result in
+// unexpected program behavior.
+// If said buffer comes from a memory map, it's advisable to give it read
+// only permissions, either at creation or by calling Mprotect from the
+// golang.org/x/sys/unix package.
+//
+// Resulting bitmaps are effectively immutable in the following sense:
+// a copy-on-write marker is used so that when you modify the resulting
+// bitmap, copies of selected data (containers) are made.
+// You should *not* change the copy-on-write status of the resulting
+// bitmaps (SetCopyOnWrite).
+//
+// If buf becomes unavailable, then a bitmap created with
+// FromBuffer would be effectively broken. Furthermore, any
+// bitmap derived from this bitmap (e.g., via Or, And) might
+// also be broken. Thus, before making buf unavailable, you should
+// call CloneCopyOnWriteContainers on all such bitmaps.
+func (rb *Bitmap) FrozenView(buf []byte) error {
+	return rb.highlowcontainer.frozenView(buf)
+}
+
+func (rb *Bitmap) MustFrozenView(buf []byte) error {
+	if err := rb.FrozenView(buf); err != nil {
+		return err
+	}
+	err := rb.Validate()
+
+	return err
+}
+
+/* Verbatim specification from CRoaring.
+ *
+ * FROZEN SERIALIZATION FORMAT DESCRIPTION
+ *
+ * -- (beginning must be aligned by 32 bytes) --
+ * <bitset_data> uint64_t[BITSET_CONTAINER_SIZE_IN_WORDS * num_bitset_containers]
+ * <run_data>    rle16_t[total number of rle elements in all run containers]
+ * <array_data>  uint16_t[total number of array elements in all array containers]
+ * <keys>        uint16_t[num_containers]
+ * <counts>      uint16_t[num_containers]
+ * <typecodes>   uint8_t[num_containers]
+ * <header>      uint32_t
+ *
+ * <header> is a 4-byte value which is a bit union of frozenCookie (15 bits)
+ * and the number of containers (17 bits).
+ *
+ * <counts> stores number of elements for every container.
+ * Its meaning depends on container type.
+ * For array and bitset containers, this value is the container cardinality minus one.
+ * For run container, it is the number of rle_t elements (n_runs).
+ *
+ * <bitset_data>,<array_data>,<run_data> are flat arrays of elements of
+ * all containers of respective type.
+ *
+ * <*_data> and <keys> are kept close together because they are not accessed
+ * during deserilization. This may reduce IO in case of large mmaped bitmaps.
+ * All members have their native alignments during deserilization except <header>,
+ * which is not guaranteed to be aligned by 4 bytes.
+ */
+const frozenCookie = 13766
+
+var (
+	// ErrFrozenBitmapInvalidCookie is returned when the header does not contain the frozenCookie.
+	ErrFrozenBitmapInvalidCookie = errors.New("header does not contain the frozenCookie")
+	// ErrFrozenBitmapBigEndian is returned when the header is big endian.
+	ErrFrozenBitmapBigEndian = errors.New("loading big endian frozen bitmaps is not supported")
+	// ErrFrozenBitmapIncomplete is returned when the buffer is too small to contain a frozen bitmap.
+	ErrFrozenBitmapIncomplete = errors.New("input buffer too small to contain a frozen bitmap")
+	// ErrFrozenBitmapOverpopulated is returned when the number of containers is too large.
+	ErrFrozenBitmapOverpopulated = errors.New("too many containers")
+	// ErrFrozenBitmapUnexpectedData is returned when the buffer contains unexpected data.
+	ErrFrozenBitmapUnexpectedData = errors.New("spurious data in input")
+	// ErrFrozenBitmapInvalidTypecode is returned when the typecode is invalid.
+	ErrFrozenBitmapInvalidTypecode = errors.New("unrecognized typecode")
+	// ErrFrozenBitmapBufferTooSmall is returned when the buffer is too small.
+	ErrFrozenBitmapBufferTooSmall = errors.New("buffer too small")
+)
+
+func (ra *roaringArray) frozenView(buf []byte) error {
+	if len(buf) < 4 {
+		return ErrFrozenBitmapIncomplete
+	}
+
+	headerBE := binary.BigEndian.Uint32(buf[len(buf)-4:])
+	if headerBE&0x7fff == frozenCookie {
+		return ErrFrozenBitmapBigEndian
+	}
+
+	header := binary.LittleEndian.Uint32(buf[len(buf)-4:])
+	buf = buf[:len(buf)-4]
+
+	if header&0x7fff != frozenCookie {
+		return ErrFrozenBitmapInvalidCookie
+	}
+
+	nCont := int(header >> 15)
+	if nCont > (1 << 16) {
+		return ErrFrozenBitmapOverpopulated
+	}
+
+	// 1 byte per type, 2 bytes per key, 2 bytes per count.
+	if len(buf) < 5*nCont {
+		return ErrFrozenBitmapIncomplete
+	}
+
+	types := buf[len(buf)-nCont:]
+	buf = buf[:len(buf)-nCont]
+
+	counts := byteSliceAsUint16Slice(buf[len(buf)-2*nCont:])
+	buf = buf[:len(buf)-2*nCont]
+
+	keys := byteSliceAsUint16Slice(buf[len(buf)-2*nCont:])
+	buf = buf[:len(buf)-2*nCont]
+
+	nBitmap, nArray, nRun := 0, 0, 0
+	nArrayEl, nRunEl := 0, 0
+	for i, t := range types {
+		switch t {
+		case 1:
+			nBitmap++
+		case 2:
+			nArray++
+			nArrayEl += int(counts[i]) + 1
+		case 3:
+			nRun++
+			nRunEl += int(counts[i])
+		default:
+			return ErrFrozenBitmapInvalidTypecode
+		}
+	}
+
+	if len(buf) < (1<<13)*nBitmap+4*nRunEl+2*nArrayEl {
+		return ErrFrozenBitmapIncomplete
+	}
+
+	bitsetsArena := byteSliceAsUint64Slice(buf[:(1<<13)*nBitmap])
+	buf = buf[(1<<13)*nBitmap:]
+
+	runsArena := byteSliceAsInterval16Slice(buf[:4*nRunEl])
+	buf = buf[4*nRunEl:]
+
+	arraysArena := byteSliceAsUint16Slice(buf[:2*nArrayEl])
+	buf = buf[2*nArrayEl:]
+
+	if len(buf) != 0 {
+		return ErrFrozenBitmapUnexpectedData
+	}
+
+	var c container
+	containersSz := int(unsafe.Sizeof(c)) * nCont
+	bitsetsSz := int(unsafe.Sizeof(bitmapContainer{})) * nBitmap
+	arraysSz := int(unsafe.Sizeof(arrayContainer{})) * nArray
+	runsSz := int(unsafe.Sizeof(runContainer16{})) * nRun
+	needCOWSz := int(unsafe.Sizeof(true)) * nCont
+
+	bitmapArenaSz := containersSz + bitsetsSz + arraysSz + runsSz + needCOWSz
+	bitmapArena := make([]byte, bitmapArenaSz)
+
+	containers := byteSliceAsContainerSlice(bitmapArena[:containersSz])
+	bitmapArena = bitmapArena[containersSz:]
+
+	bitsets := byteSliceAsBitsetSlice(bitmapArena[:bitsetsSz])
+	bitmapArena = bitmapArena[bitsetsSz:]
+
+	arrays := byteSliceAsArraySlice(bitmapArena[:arraysSz])
+	bitmapArena = bitmapArena[arraysSz:]
+
+	runs := byteSliceAsRun16Slice(bitmapArena[:runsSz])
+	bitmapArena = bitmapArena[runsSz:]
+
+	needCOW := byteSliceAsBoolSlice(bitmapArena)
+
+	iBitset, iArray, iRun := 0, 0, 0
+	for i, t := range types {
+		needCOW[i] = true
+
+		switch t {
+		case 1:
+			containers[i] = &bitsets[iBitset]
+			bitsets[iBitset].cardinality = int(counts[i]) + 1
+			bitsets[iBitset].bitmap = bitsetsArena[:1024]
+			bitsetsArena = bitsetsArena[1024:]
+			iBitset++
+		case 2:
+			containers[i] = &arrays[iArray]
+			sz := int(counts[i]) + 1
+			arrays[iArray].content = arraysArena[:sz]
+			arraysArena = arraysArena[sz:]
+			iArray++
+		case 3:
+			containers[i] = &runs[iRun]
+			runs[iRun].iv = runsArena[:counts[i]]
+			runsArena = runsArena[counts[i]:]
+			iRun++
+		}
+	}
+
+	// Not consuming the full input is a bug.
+	if iBitset != nBitmap || len(bitsetsArena) != 0 ||
+		iArray != nArray || len(arraysArena) != 0 ||
+		iRun != nRun || len(runsArena) != 0 {
+		panic("we missed something")
+	}
+
+	ra.keys = keys
+	ra.containers = containers
+	ra.needCopyOnWrite = needCOW
+	ra.copyOnWrite = true
+
+	return nil
+}
+
+// GetFrozenSizeInBytes returns the size in bytes of the frozen bitmap.
+func (rb *Bitmap) GetFrozenSizeInBytes() uint64 {
+	nBits, nArrayEl, nRunEl := uint64(0), uint64(0), uint64(0)
+	for _, c := range rb.highlowcontainer.containers {
+		switch v := c.(type) {
+		case *bitmapContainer:
+			nBits++
+		case *arrayContainer:
+			nArrayEl += uint64(len(v.content))
+		case *runContainer16:
+			nRunEl += uint64(len(v.iv))
+		}
+	}
+	return 4 + 5*uint64(len(rb.highlowcontainer.containers)) +
+		(nBits << 13) + 2*nArrayEl + 4*nRunEl
+}
+
+// Freeze serializes the bitmap in the CRoaring's frozen format.
+func (rb *Bitmap) Freeze() ([]byte, error) {
+	sz := rb.GetFrozenSizeInBytes()
+	buf := make([]byte, sz)
+	_, err := rb.FreezeTo(buf)
+	return buf, err
+}
+
+// FreezeTo serializes the bitmap in the CRoaring's frozen format.
+func (rb *Bitmap) FreezeTo(buf []byte) (int, error) {
+	containers := rb.highlowcontainer.containers
+	nCont := len(containers)
+
+	nBits, nArrayEl, nRunEl := 0, 0, 0
+	for _, c := range containers {
+		switch v := c.(type) {
+		case *bitmapContainer:
+			nBits++
+		case *arrayContainer:
+			nArrayEl += len(v.content)
+		case *runContainer16:
+			nRunEl += len(v.iv)
+		}
+	}
+
+	serialSize := 4 + 5*nCont + (1<<13)*nBits + 4*nRunEl + 2*nArrayEl
+	if len(buf) < serialSize {
+		return 0, ErrFrozenBitmapBufferTooSmall
+	}
+
+	bitsArena := byteSliceAsUint64Slice(buf[:(1<<13)*nBits])
+	buf = buf[(1<<13)*nBits:]
+
+	runsArena := byteSliceAsInterval16Slice(buf[:4*nRunEl])
+	buf = buf[4*nRunEl:]
+
+	arraysArena := byteSliceAsUint16Slice(buf[:2*nArrayEl])
+	buf = buf[2*nArrayEl:]
+
+	keys := byteSliceAsUint16Slice(buf[:2*nCont])
+	buf = buf[2*nCont:]
+
+	counts := byteSliceAsUint16Slice(buf[:2*nCont])
+	buf = buf[2*nCont:]
+
+	types := buf[:nCont]
+	buf = buf[nCont:]
+
+	header := uint32(frozenCookie | (nCont << 15))
+	binary.LittleEndian.PutUint32(buf[:4], header)
+
+	copy(keys, rb.highlowcontainer.keys[:])
+
+	for i, c := range containers {
+		switch v := c.(type) {
+		case *bitmapContainer:
+			copy(bitsArena, v.bitmap)
+			bitsArena = bitsArena[1024:]
+			counts[i] = uint16(v.cardinality - 1)
+			types[i] = 1
+		case *arrayContainer:
+			copy(arraysArena, v.content)
+			arraysArena = arraysArena[len(v.content):]
+			elems := len(v.content)
+			counts[i] = uint16(elems - 1)
+			types[i] = 2
+		case *runContainer16:
+			copy(runsArena, v.iv)
+			runs := len(v.iv)
+			runsArena = runsArena[runs:]
+			counts[i] = uint16(runs)
+			types[i] = 3
+		}
+	}
+
+	return serialSize, nil
+}
+
+// WriteFrozenTo serializes the bitmap in the CRoaring's frozen format.
+func (rb *Bitmap) WriteFrozenTo(wr io.Writer) (int, error) {
+	// FIXME: this is a naive version that iterates 4 times through the
+	// containers and allocates 3*len(containers) bytes; it's quite likely
+	// it can be done more efficiently.
+	containers := rb.highlowcontainer.containers
+	written := 0
+
+	for _, c := range containers {
+		c, ok := c.(*bitmapContainer)
+		if !ok {
+			continue
+		}
+		n, err := wr.Write(uint64SliceAsByteSlice(c.bitmap))
+		written += n
+		if err != nil {
+			return written, err
+		}
+	}
+
+	for _, c := range containers {
+		c, ok := c.(*runContainer16)
+		if !ok {
+			continue
+		}
+		n, err := wr.Write(interval16SliceAsByteSlice(c.iv))
+		written += n
+		if err != nil {
+			return written, err
+		}
+	}
+
+	for _, c := range containers {
+		c, ok := c.(*arrayContainer)
+		if !ok {
+			continue
+		}
+		n, err := wr.Write(uint16SliceAsByteSlice(c.content))
+		written += n
+		if err != nil {
+			return written, err
+		}
+	}
+
+	n, err := wr.Write(uint16SliceAsByteSlice(rb.highlowcontainer.keys))
+	written += n
+	if err != nil {
+		return written, err
+	}
+
+	countTypeBuf := make([]byte, 3*len(containers))
+	counts := byteSliceAsUint16Slice(countTypeBuf[:2*len(containers)])
+	types := countTypeBuf[2*len(containers):]
+
+	for i, c := range containers {
+		switch c := c.(type) {
+		case *bitmapContainer:
+			counts[i] = uint16(c.cardinality - 1)
+			types[i] = 1
+		case *arrayContainer:
+			elems := len(c.content)
+			counts[i] = uint16(elems - 1)
+			types[i] = 2
+		case *runContainer16:
+			runs := len(c.iv)
+			counts[i] = uint16(runs)
+			types[i] = 3
+		}
+	}
+
+	n, err = wr.Write(countTypeBuf)
+	written += n
+	if err != nil {
+		return written, err
+	}
+
+	header := uint32(frozenCookie | (len(containers) << 15))
+	if err := binary.Write(wr, binary.LittleEndian, header); err != nil {
+		return written, err
+	}
+	written += 4
+
+	return written, nil
+}

vendor/github.com/RoaringBitmap/roaring/v2/serializationfuzz.go

@@ -0,0 +1,22 @@
+//go:build gofuzz
+// +build gofuzz
+
+package roaring
+
+import "bytes"
+
+func FuzzSerializationStream(data []byte) int {
+	newrb := NewBitmap()
+	if _, err := newrb.ReadFrom(bytes.NewReader(data)); err != nil {
+		return 0
+	}
+	return 1
+}
+
+func FuzzSerializationBuffer(data []byte) int {
+	newrb := NewBitmap()
+	if _, err := newrb.FromBuffer(data); err != nil {
+		return 0
+	}
+	return 1
+}

vendor/github.com/RoaringBitmap/roaring/v2/setutil.go

@@ -0,0 +1,665 @@
+package roaring
+
+func difference(set1 []uint16, set2 []uint16, buffer []uint16) int {
+	if len(set2) == 0 {
+		buffer = buffer[:len(set1)]
+		copy(buffer, set1)
+		return len(set1)
+	}
+	if len(set1) == 0 {
+		return 0
+	}
+	pos := 0
+	k1 := 0
+	k2 := 0
+	buffer = buffer[:cap(buffer)]
+	s1 := set1[k1]
+	s2 := set2[k2]
+	for {
+		if s1 < s2 {
+			buffer[pos] = s1
+			pos++
+			k1++
+			if k1 >= len(set1) {
+				break
+			}
+			s1 = set1[k1]
+		} else if s1 == s2 {
+			k1++
+			k2++
+			if k1 >= len(set1) {
+				break
+			}
+			s1 = set1[k1]
+			if k2 >= len(set2) {
+				for ; k1 < len(set1); k1++ {
+					buffer[pos] = set1[k1]
+					pos++
+				}
+				break
+			}
+			s2 = set2[k2]
+		} else { // if (val1>val2)
+			k2++
+			if k2 >= len(set2) {
+				for ; k1 < len(set1); k1++ {
+					buffer[pos] = set1[k1]
+					pos++
+				}
+				break
+			}
+			s2 = set2[k2]
+		}
+	}
+	return pos
+}
+
+func exclusiveUnion2by2(set1 []uint16, set2 []uint16, buffer []uint16) int {
+	if 0 == len(set2) {
+		buffer = buffer[:len(set1)]
+		copy(buffer, set1[:])
+		return len(set1)
+	}
+	if 0 == len(set1) {
+		buffer = buffer[:len(set2)]
+		copy(buffer, set2[:])
+		return len(set2)
+	}
+	pos := 0
+	k1 := 0
+	k2 := 0
+	s1 := set1[k1]
+	s2 := set2[k2]
+	buffer = buffer[:cap(buffer)]
+	for {
+		if s1 < s2 {
+			buffer[pos] = s1
+			pos++
+			k1++
+			if k1 >= len(set1) {
+				for ; k2 < len(set2); k2++ {
+					buffer[pos] = set2[k2]
+					pos++
+				}
+				break
+			}
+			s1 = set1[k1]
+		} else if s1 == s2 {
+			k1++
+			k2++
+			if k1 >= len(set1) {
+				for ; k2 < len(set2); k2++ {
+					buffer[pos] = set2[k2]
+					pos++
+				}
+				break
+			}
+			if k2 >= len(set2) {
+				for ; k1 < len(set1); k1++ {
+					buffer[pos] = set1[k1]
+					pos++
+				}
+				break
+			}
+			s1 = set1[k1]
+			s2 = set2[k2]
+		} else { // if (val1>val2)
+			buffer[pos] = s2
+			pos++
+			k2++
+			if k2 >= len(set2) {
+				for ; k1 < len(set1); k1++ {
+					buffer[pos] = set1[k1]
+					pos++
+				}
+				break
+			}
+			s2 = set2[k2]
+		}
+	}
+	return pos
+}
+
+// union2by2Cardinality computes the cardinality of the union
+func union2by2Cardinality(set1 []uint16, set2 []uint16) int {
+	pos := 0
+	k1 := 0
+	k2 := 0
+	if 0 == len(set2) {
+		return len(set1)
+	}
+	if 0 == len(set1) {
+		return len(set2)
+	}
+	s1 := set1[k1]
+	s2 := set2[k2]
+	for {
+		if s1 < s2 {
+			pos++
+			k1++
+			if k1 >= len(set1) {
+				pos += len(set2) - k2
+				break
+			}
+			s1 = set1[k1]
+		} else if s1 == s2 {
+			pos++
+			k1++
+			k2++
+			if k1 >= len(set1) {
+				pos += len(set2) - k2
+				break
+			}
+			if k2 >= len(set2) {
+				pos += len(set1) - k1
+				break
+			}
+			s1 = set1[k1]
+			s2 = set2[k2]
+		} else { // if (set1[k1]>set2[k2])
+			pos++
+			k2++
+			if k2 >= len(set2) {
+				pos += len(set1) - k1
+				break
+			}
+			s2 = set2[k2]
+		}
+	}
+	return pos
+}
+
+func intersection2by2(
+	set1 []uint16,
+	set2 []uint16,
+	buffer []uint16,
+) int {
+	if len(set1)*64 < len(set2) {
+		return onesidedgallopingintersect2by2(set1, set2, buffer)
+	} else if len(set2)*64 < len(set1) {
+		return onesidedgallopingintersect2by2(set2, set1, buffer)
+	} else {
+		return localintersect2by2(set1, set2, buffer)
+	}
+}
+
+// intersection2by2Cardinality computes the cardinality of the intersection
+func intersection2by2Cardinality(
+	set1 []uint16,
+	set2 []uint16,
+) int {
+	if len(set1)*64 < len(set2) {
+		return onesidedgallopingintersect2by2Cardinality(set1, set2)
+	} else if len(set2)*64 < len(set1) {
+		return onesidedgallopingintersect2by2Cardinality(set2, set1)
+	} else {
+		return localintersect2by2Cardinality(set1, set2)
+	}
+}
+
+// intersects2by2 computes whether the two sets intersect
+func intersects2by2(
+	set1 []uint16,
+	set2 []uint16,
+) bool {
+	// could be optimized if one set is much larger than the other one
+	if (len(set1) == 0) || (len(set2) == 0) {
+		return false
+	}
+	index1 := 0
+	index2 := 0
+	value1 := set1[index1]
+	value2 := set2[index2]
+mainwhile:
+	for {
+
+		if value2 < value1 {
+			for {
+				index2++
+				if index2 == len(set2) {
+					break mainwhile
+				}
+				value2 = set2[index2]
+				if value2 >= value1 {
+					break
+				}
+			}
+		}
+		if value1 < value2 {
+			for {
+				index1++
+				if index1 == len(set1) {
+					break mainwhile
+				}
+				value1 = set1[index1]
+				if value1 >= value2 {
+					break
+				}
+			}
+		} else {
+			// (set2[k2] == set1[k1])
+			return true
+		}
+	}
+	return false
+}
+
+func localintersect2by2(
+	set1 []uint16,
+	set2 []uint16,
+	buffer []uint16,
+) int {
+	if (len(set1) == 0) || (len(set2) == 0) {
+		return 0
+	}
+	k1 := 0
+	k2 := 0
+	pos := 0
+	buffer = buffer[:cap(buffer)]
+	s1 := set1[k1]
+	s2 := set2[k2]
+mainwhile:
+	for {
+		if s2 < s1 {
+			for {
+				k2++
+				if k2 == len(set2) {
+					break mainwhile
+				}
+				s2 = set2[k2]
+				if s2 >= s1 {
+					break
+				}
+			}
+		}
+		if s1 < s2 {
+			for {
+				k1++
+				if k1 == len(set1) {
+					break mainwhile
+				}
+				s1 = set1[k1]
+				if s1 >= s2 {
+					break
+				}
+			}
+		} else {
+			// (set2[k2] == set1[k1])
+			buffer[pos] = s1
+			pos++
+			k1++
+			if k1 == len(set1) {
+				break
+			}
+			s1 = set1[k1]
+			k2++
+			if k2 == len(set2) {
+				break
+			}
+			s2 = set2[k2]
+		}
+	}
+	return pos
+}
+
+// / localintersect2by2Cardinality computes the cardinality of the intersection
+func localintersect2by2Cardinality(
+	set1 []uint16,
+	set2 []uint16,
+) int {
+	if (len(set1) == 0) || (len(set2) == 0) {
+		return 0
+	}
+	index1 := 0
+	index2 := 0
+	pos := 0
+	value1 := set1[index1]
+	value2 := set2[index2]
+mainwhile:
+	for {
+		if value2 < value1 {
+			for {
+				index2++
+				if index2 == len(set2) {
+					break mainwhile
+				}
+				value2 = set2[index2]
+				if value2 >= value1 {
+					break
+				}
+			}
+		}
+		if value1 < value2 {
+			for {
+				index1++
+				if index1 == len(set1) {
+					break mainwhile
+				}
+				value1 = set1[index1]
+				if value1 >= value2 {
+					break
+				}
+			}
+		} else {
+			// (set2[k2] == set1[k1])
+			pos++
+			index1++
+			if index1 == len(set1) {
+				break
+			}
+			value1 = set1[index1]
+			index2++
+			if index2 == len(set2) {
+				break
+			}
+			value2 = set2[index2]
+		}
+	}
+	return pos
+}
+
+func advanceUntil(
+	array []uint16,
+	pos int,
+	length int,
+	min uint16,
+) int {
+	lower := pos + 1
+
+	if lower >= length || array[lower] >= min {
+		return lower
+	}
+
+	spansize := 1
+
+	for lower+spansize < length && array[lower+spansize] < min {
+		spansize *= 2
+	}
+	var upper int
+	if lower+spansize < length {
+		upper = lower + spansize
+	} else {
+		upper = length - 1
+	}
+
+	if array[upper] == min {
+		return upper
+	}
+
+	if array[upper] < min {
+		// means
+		// array
+		// has no
+		// item
+		// >= min
+		// pos = array.length;
+		return length
+	}
+
+	// we know that the next-smallest span was too small
+	lower += (spansize >> 1)
+
+	mid := 0
+	for lower+1 != upper {
+		mid = (lower + upper) >> 1
+		if array[mid] == min {
+			return mid
+		} else if array[mid] < min {
+			lower = mid
+		} else {
+			upper = mid
+		}
+	}
+	return upper
+}
+
+func onesidedgallopingintersect2by2(
+	smallset []uint16,
+	largeset []uint16,
+	buffer []uint16,
+) int {
+	if 0 == len(smallset) {
+		return 0
+	}
+	buffer = buffer[:cap(buffer)]
+	k1 := 0
+	k2 := 0
+	pos := 0
+	s1 := largeset[k1]
+	s2 := smallset[k2]
+mainwhile:
+
+	for {
+		if s1 < s2 {
+			k1 = advanceUntil(largeset, k1, len(largeset), s2)
+			if k1 == len(largeset) {
+				break mainwhile
+			}
+			s1 = largeset[k1]
+		}
+		if s2 < s1 {
+			k2++
+			if k2 == len(smallset) {
+				break mainwhile
+			}
+			s2 = smallset[k2]
+		} else {
+
+			buffer[pos] = s2
+			pos++
+			k2++
+			if k2 == len(smallset) {
+				break
+			}
+			s2 = smallset[k2]
+			k1 = advanceUntil(largeset, k1, len(largeset), s2)
+			if k1 == len(largeset) {
+				break mainwhile
+			}
+			s1 = largeset[k1]
+		}
+
+	}
+	return pos
+}
+
+func onesidedgallopingintersect2by2Cardinality(
+	smallset []uint16,
+	largeset []uint16,
+) int {
+	if 0 == len(smallset) {
+		return 0
+	}
+	k1 := 0
+	k2 := 0
+	pos := 0
+	s1 := largeset[k1]
+	s2 := smallset[k2]
+mainwhile:
+
+	for {
+		if s1 < s2 {
+			k1 = advanceUntil(largeset, k1, len(largeset), s2)
+			if k1 == len(largeset) {
+				break mainwhile
+			}
+			s1 = largeset[k1]
+		}
+		if s2 < s1 {
+			k2++
+			if k2 == len(smallset) {
+				break mainwhile
+			}
+			s2 = smallset[k2]
+		} else {
+
+			pos++
+			k2++
+			if k2 == len(smallset) {
+				break
+			}
+			s2 = smallset[k2]
+			k1 = advanceUntil(largeset, k1, len(largeset), s2)
+			if k1 == len(largeset) {
+				break mainwhile
+			}
+			s1 = largeset[k1]
+		}
+
+	}
+	return pos
+}
+
+func binarySearch(array []uint16, ikey uint16) int {
+	low := 0
+	high := len(array) - 1
+	for low+16 <= high {
+		middleIndex := int(uint32(low+high) >> 1)
+		middleValue := array[middleIndex]
+		if middleValue < ikey {
+			low = middleIndex + 1
+		} else if middleValue > ikey {
+			high = middleIndex - 1
+		} else {
+			return middleIndex
+		}
+	}
+	for ; low <= high; low++ {
+		val := array[low]
+		if val >= ikey {
+			if val == ikey {
+				return low
+			}
+			break
+		}
+	}
+	return -(low + 1)
+}
+
+// searchResult provides information about a search request.
+// The values will depend on the context of the search
+type searchResult struct {
+	value      uint16
+	index      int
+	exactMatch bool
+}
+
+// notFound returns a bool depending the search context
+// For cases `previousValue` and `nextValue` if target is present in the slice
+// this function will return `true` otherwise `false`
+// For `nextAbsentValue` and `previousAbsentValue` this will only return `False`
+func (sr *searchResult) notFound() bool {
+	return !sr.exactMatch
+}
+
+// outOfBounds indicates whether the target was outside the lower and upper bounds of the container
+func (sr *searchResult) outOfBounds() bool {
+	return sr.index <= -1
+}
+
+// binarySearchUntil is a helper function around binarySearchUntilWithBounds
+// The user does not have to pass in the lower and upper bound
+// The lower bound is taken to be `0` and the upper bound `len(array)-1`
+func binarySearchUntil(array []uint16, target uint16) searchResult {
+	return binarySearchUntilWithBounds(array, target, 0, len(array)-1)
+}
+
+// binarySearchUntilWithBounds returns a `searchResult`.
+// If an exact match is found the `searchResult{target, <index>, true}` will be returned, where `<index>` is
+// `target`s index in `array`, and `result.notFound()` evaluates to `false`.
+// If a match is not found, but `target` was in-bounds then the result.index will be the closest smaller value
+// Example: [ 8,9,11,12] if the target was 10, then `searchResult{9, 1, false}` will be returned.
+// If `target` was out of bounds `searchResult{0, -1, false}` will be returned.
+func binarySearchUntilWithBounds(array []uint16, target uint16, lowIndex int, maxIndex int) searchResult {
+	highIndex := maxIndex
+
+	closestIndex := -1
+
+	if target < array[lowIndex] {
+		return searchResult{0, closestIndex, false}
+	}
+
+	if target > array[maxIndex] {
+		return searchResult{0, len(array), false}
+	}
+
+	for lowIndex <= highIndex {
+		middleIndex := (lowIndex + highIndex) / 2
+		middleValue := array[middleIndex]
+
+		if middleValue == target {
+			return searchResult{middleValue, middleIndex, true}
+		}
+
+		if target < middleValue {
+
+			if middleIndex > 0 && target > array[middleIndex-1] {
+				return searchResult{array[middleIndex-1], middleIndex - 1, false}
+			}
+
+			highIndex = middleIndex
+		} else {
+			if middleIndex < maxIndex && target < array[middleIndex+1] {
+				return searchResult{middleValue, middleIndex, false}
+			}
+			lowIndex = middleIndex + 1
+		}
+
+	}
+
+	return searchResult{array[closestIndex], closestIndex, false}
+}
+
+// binarySearchPast is a wrapper around binarySearchPastWithBounds
+// The user does not have to pass in the lower and upper bound
+// The lower bound is taken to be `0` and the upper bound `len(array)-1`
+func binarySearchPast(array []uint16, target uint16) searchResult {
+	return binarySearchPastWithBounds(array, target, 0, len(array)-1)
+}
+
+// binarySearchPastWithBounds looks for the smallest value larger than or equal to `target`
+// If `target` is out of bounds a `searchResult` indicating out of bounds is returned
+// `target` does not have to exist in the slice.
+//
+// Example:
+// Suppose the slice is [...10,13...] with `target` equal to 11
+// The searchResult will have searchResult.value = 13
+func binarySearchPastWithBounds(array []uint16, target uint16, lowIndex int, maxIndex int) searchResult {
+	highIndex := maxIndex
+
+	closestIndex := -1
+
+	if target < array[lowIndex] {
+		return searchResult{0, closestIndex, false}
+	}
+
+	if target > array[maxIndex] {
+		return searchResult{0, len(array), false}
+	}
+
+	for lowIndex <= highIndex {
+		middleIndex := (lowIndex + highIndex) / 2
+		middleValue := array[middleIndex]
+
+		if middleValue == target {
+			return searchResult{middleValue, middleIndex, true}
+		}
+
+		if target < middleValue {
+
+			if middleIndex > 0 && target > array[middleIndex-1] {
+				return searchResult{array[middleIndex], middleIndex, false}
+			}
+
+			highIndex = middleIndex
+		} else {
+			if middleIndex < maxIndex && target < array[middleIndex+1] {
+				return searchResult{array[middleIndex+1], middleIndex + 1, false}
+			}
+			lowIndex = middleIndex + 1
+		}
+
+	}
+
+	return searchResult{array[closestIndex], closestIndex, false}
+}

vendor/github.com/RoaringBitmap/roaring/v2/setutil_arm64.go

@@ -0,0 +1,7 @@
+//go:build arm64 && !gccgo && !appengine
+// +build arm64,!gccgo,!appengine
+
+package roaring
+
+//go:noescape
+func union2by2(set1 []uint16, set2 []uint16, buffer []uint16) (size int)

vendor/github.com/RoaringBitmap/roaring/v2/setutil_arm64.s

@@ -0,0 +1,132 @@
+// +build arm64,!gccgo,!appengine
+
+#include "textflag.h"
+
+
+// This implements union2by2 using golang's version of arm64 assembly
+// The algorithm is very similar to the generic one,
+// but makes better use of arm64 features so is notably faster.
+// The basic algorithm structure is as follows:
+// 1. If either set is empty, copy the other set into the buffer and return the length
+// 2. Otherwise, load the first element of each set into a variable (s1 and s2).
+// 3. a. Compare the values of s1 and s2.
+ // b. add the smaller one to the buffer.
+ // c. perform a bounds check before incrementing.
+ // If one set is finished, copy the rest of the other set over.
+ // d. update s1 and or s2 to the next value, continue loop.
+ //
+ // Past the fact of the algorithm, this code makes use of several arm64 features
+ // Condition Codes:
+ // arm64's CMP operation sets 4 bits that can be used for branching,
+ // rather than just true or false.
+ // As a consequence, a single comparison gives enough information to distinguish the three cases
+ //
+ // Post-increment pointers after load/store:
+ // Instructions like `MOVHU.P 2(R0), R6`
+ // increment the register by a specified amount, in this example 2.
+ // Because uint16's are exactly 2 bytes and the length of the slices
+ // is part of the slice header,
+ // there is no need to separately track the index into the slice.
+ // Instead, the code can calculate the final read value and compare against that,
+ // using the post-increment reads to move the pointers along.
+ //
+ // TODO: CALL out to memmove once the list is exhausted.
+ // Right now it moves the necessary shorts so that the remaining count
+ // is a multiple of 4 and then copies 64 bits at a time.
+
+TEXT ·union2by2(SB), NOSPLIT, $0-80
+	// R0, R1, and R2 for the pointers to the three slices
+	MOVD set1+0(FP), R0
+	MOVD set2+24(FP), R1
+	MOVD buffer+48(FP), R2
+
+	//R3 and R4 will be the values at which we will have finished reading set1 and set2.
+	// R3 should be R0 + 2 * set1_len+8(FP)
+	MOVD set1_len+8(FP), R3
+	MOVD set2_len+32(FP), R4
+
+	ADD R3<<1, R0, R3
+	ADD R4<<1, R1, R4
+
+
+	//Rather than counting the number of elements added separately
+	//Save the starting register of buffer.
+	MOVD buffer+48(FP), R5
+
+	// set1 is empty, just flush set2
+	CMP R0, R3
+	BEQ flush_right
+
+	// set2 is empty, just flush set1
+	CMP R1, R4
+	BEQ flush_left
+
+	// R6, R7 are the working space for s1 and s2
+	MOVD ZR, R6
+	MOVD ZR, R7
+
+	MOVHU.P 2(R0), R6
+	MOVHU.P 2(R1), R7
+loop:
+
+	CMP R6, R7
+	BEQ pop_both // R6 == R7
+	BLS pop_right // R6 > R7
+//pop_left: // R6 < R7
+	MOVHU.P R6, 2(R2)
+	CMP R0, R3
+	BEQ pop_then_flush_right
+	MOVHU.P 2(R0), R6
+	JMP loop
+pop_both:
+	MOVHU.P R6, 2(R2) //could also use R7, since they are equal
+	CMP R0, R3
+	BEQ flush_right
+	CMP R1, R4
+	BEQ flush_left
+	MOVHU.P 2(R0), R6
+	MOVHU.P 2(R1), R7
+	JMP loop
+pop_right:
+	MOVHU.P R7, 2(R2)
+	CMP R1, R4
+	BEQ pop_then_flush_left
+	MOVHU.P 2(R1), R7
+	JMP loop
+
+pop_then_flush_right:
+	MOVHU.P R7, 2(R2)
+flush_right:
+	MOVD R1, R0
+	MOVD R4, R3
+	JMP flush_left
+pop_then_flush_left:
+	MOVHU.P R6, 2(R2)
+flush_left:
+	CMP R0, R3
+	BEQ return
+	//figure out how many bytes to slough off. Must be a multiple of two
+	SUB R0, R3, R4
+	ANDS $6, R4
+	BEQ long_flush //handles the 0 mod 8 case
+	SUBS $4, R4, R4 // since possible values are 2, 4, 6, this splits evenly
+	BLT pop_single  // exactly the 2 case
+	MOVW.P 4(R0), R6
+	MOVW.P R6, 4(R2)
+	BEQ long_flush // we're now aligned by 64 bits, as R4==4, otherwise 2 more
+pop_single:
+	MOVHU.P 2(R0), R6
+	MOVHU.P R6, 2(R2)
+long_flush:
+	// at this point we know R3 - R0 is a multiple of 8.
+	CMP R0, R3
+	BEQ return
+	MOVD.P 8(R0), R6
+	MOVD.P R6, 8(R2)
+	JMP long_flush
+return:
+	// number of shorts written is (R5 - R2) >> 1
+	SUB R5, R2
+	LSR $1, R2, R2
+	MOVD R2, size+72(FP)
+	RET

vendor/github.com/RoaringBitmap/roaring/v2/setutil_generic.go

@@ -0,0 +1,64 @@
+//go:build !arm64 || gccgo || appengine
+// +build !arm64 gccgo appengine
+
+package roaring
+
+func union2by2(set1 []uint16, set2 []uint16, buffer []uint16) int {
+	pos := 0
+	k1 := 0
+	k2 := 0
+	if 0 == len(set2) {
+		buffer = buffer[:len(set1)]
+		copy(buffer, set1[:])
+		return len(set1)
+	}
+	if 0 == len(set1) {
+		buffer = buffer[:len(set2)]
+		copy(buffer, set2[:])
+		return len(set2)
+	}
+	s1 := set1[k1]
+	s2 := set2[k2]
+	buffer = buffer[:cap(buffer)]
+	for {
+		if s1 < s2 {
+			buffer[pos] = s1
+			pos++
+			k1++
+			if k1 >= len(set1) {
+				copy(buffer[pos:], set2[k2:])
+				pos += len(set2) - k2
+				break
+			}
+			s1 = set1[k1]
+		} else if s1 == s2 {
+			buffer[pos] = s1
+			pos++
+			k1++
+			k2++
+			if k1 >= len(set1) {
+				copy(buffer[pos:], set2[k2:])
+				pos += len(set2) - k2
+				break
+			}
+			if k2 >= len(set2) {
+				copy(buffer[pos:], set1[k1:])
+				pos += len(set1) - k1
+				break
+			}
+			s1 = set1[k1]
+			s2 = set2[k2]
+		} else { // if (set1[k1]>set2[k2])
+			buffer[pos] = s2
+			pos++
+			k2++
+			if k2 >= len(set2) {
+				copy(buffer[pos:], set1[k1:])
+				pos += len(set1) - k1
+				break
+			}
+			s2 = set2[k2]
+		}
+	}
+	return pos
+}

vendor/github.com/RoaringBitmap/roaring/v2/shortiterator.go

@@ -0,0 +1,102 @@
+package roaring
+
+type shortIterable interface {
+	hasNext() bool
+	next() uint16
+}
+
+type shortPeekable interface {
+	shortIterable
+	peekNext() uint16
+	advanceIfNeeded(minval uint16)
+}
+
+type shortIterator struct {
+	slice []uint16
+	loc   int
+}
+
+func (si *shortIterator) hasNext() bool {
+	return si.loc < len(si.slice)
+}
+
+func (si *shortIterator) next() uint16 {
+	a := si.slice[si.loc]
+	si.loc++
+	return a
+}
+
+func (si *shortIterator) peekNext() uint16 {
+	return si.slice[si.loc]
+}
+
+func (si *shortIterator) advanceIfNeeded(minval uint16) {
+	if si.hasNext() && si.peekNext() < minval {
+		si.loc = advanceUntil(si.slice, si.loc, len(si.slice), minval)
+	}
+}
+
+type reverseIterator struct {
+	slice []uint16
+	loc   int
+}
+
+func (si *reverseIterator) hasNext() bool {
+	return si.loc >= 0
+}
+
+func (si *reverseIterator) next() uint16 {
+	a := si.slice[si.loc]
+	si.loc--
+	return a
+}
+
+type arrayContainerUnsetIterator struct {
+	content []uint16
+	// pos is the index of the next set bit that is >= nextVal.
+	// When nextVal reaches content[pos], pos is incremented.
+	pos     int
+	nextVal int
+}
+
+func (acui *arrayContainerUnsetIterator) next() uint16 {
+	val := acui.nextVal
+	acui.nextVal++
+	for acui.pos < len(acui.content) && uint16(acui.nextVal) >= acui.content[acui.pos] {
+		acui.nextVal++
+		acui.pos++
+	}
+	return uint16(val)
+}
+
+func (acui *arrayContainerUnsetIterator) hasNext() bool {
+	return acui.nextVal < 65536
+}
+
+func (acui *arrayContainerUnsetIterator) peekNext() uint16 {
+	return uint16(acui.nextVal)
+}
+
+func (acui *arrayContainerUnsetIterator) advanceIfNeeded(minval uint16) {
+	if !acui.hasNext() || acui.peekNext() >= minval {
+		return
+	}
+	acui.nextVal = int(minval)
+	acui.pos = binarySearch(acui.content, minval)
+	if acui.pos < 0 {
+		acui.pos = -acui.pos - 1
+	}
+	for acui.pos < len(acui.content) && uint16(acui.nextVal) >= acui.content[acui.pos] {
+		acui.nextVal++
+		acui.pos++
+	}
+}
+
+func newArrayContainerUnsetIterator(content []uint16) *arrayContainerUnsetIterator {
+	acui := &arrayContainerUnsetIterator{content: content, pos: 0, nextVal: 0}
+	for acui.pos < len(acui.content) && uint16(acui.nextVal) >= acui.content[acui.pos] {
+		acui.nextVal++
+		acui.pos++
+	}
+	return acui
+}

vendor/github.com/RoaringBitmap/roaring/v2/smat.go

@@ -0,0 +1,717 @@
+/*
+# Instructions for smat testing for roaring
+
+[smat](https://github.com/mschoch/smat) is a framework that provides
+state machine assisted fuzz testing.
+
+To run the smat tests for roaring...
+
+## Prerequisites
+
+Go 1.18 or later (for native fuzzing support).
+
+## Steps
+
+1. Generate initial smat corpus:
+```
+go test -tags=gofuzz -run=TestGenerateSmatCorpus
+```
+You should see a directory `workdir` created with initial corpus files.
+
+2. Run the fuzz test:
+```
+go test -run='^$' -fuzz=FuzzSmat -fuzztime=300s -timeout=60s
+```
+
+Adjust `-fuzztime` as needed for longer or shorter runs. If crashes are found,
+check the test output and the reproducer files in the `workdir` directory.
+You may copy the reproducers to roaring_tests.go
+*/
+
+package roaring
+
+import (
+	"encoding/base64"
+	"fmt"
+	"os"
+	"path/filepath"
+	"runtime/debug"
+	"sort"
+	"strings"
+	"time"
+
+	"github.com/bits-and-blooms/bitset"
+	"github.com/mschoch/smat"
+)
+
+// The native fuzz entry point lives in a _test.go file so the go test
+// fuzz engine discovers it. See smat_fuzz_test.go for the fuzz wrapper.
+
+var smatDebug = true
+
+const max_value = 1048576
+const max_pairs = 10
+
+func smatLog(prefix, format string, args ...interface{}) {
+	if smatDebug {
+		fmt.Print(prefix)
+		fmt.Printf(format, args...)
+	}
+}
+
+type smatContext struct {
+	pairs []*smatPair
+
+	// Two registers, x & y.
+	x int
+	y int
+
+	actions int
+	// per-context last action for this fuzz worker
+	lastAction *actionRecord
+}
+
+// actionRecord stores a snapshot of the state just before an action runs.
+type actionRecord struct {
+	Name          string
+	X, Y          int
+	PairSnapshots []string // base64-encoded MarshalBinary of each pair's Bitmap
+}
+
+type smatPair struct {
+	bm *Bitmap
+	bs *bitset.BitSet
+	// parent context (nil if unknown)
+	ctx *smatContext
+}
+
+// ------------------------------------------------------------------
+
+var smatActionMap = smat.ActionMap{
+	smat.ActionID('X'): smatAction("x++", smatWrap(func(c *smatContext) { c.x = (c.x + 1) % max_value })),
+	smat.ActionID('x'): smatAction("x--", smatWrap(func(c *smatContext) { c.x = (c.x - 1 + max_value) % max_value })),
+	smat.ActionID('Y'): smatAction("y++", smatWrap(func(c *smatContext) { c.y = (c.y + 1) % max_value })),
+	smat.ActionID('y'): smatAction("y--", smatWrap(func(c *smatContext) { c.y = (c.y - 1 + max_value) % max_value })),
+	smat.ActionID('*'): smatAction("x*y", smatWrap(func(c *smatContext) { c.x = (c.x * c.y) % max_value })),
+	smat.ActionID('<'): smatAction("x<<", smatWrap(func(c *smatContext) { c.x = (c.x << 1) % max_value })),
+
+	smat.ActionID('^'): smatAction("swap", smatWrap(func(c *smatContext) { c.x, c.y = c.y, c.x })),
+
+	smat.ActionID('['): smatAction(" pushPair", smatWrap(smatPushPair)),
+	smat.ActionID(']'): smatAction(" popPair", smatWrap(smatPopPair)),
+
+	smat.ActionID('B'): smatAction(" setBit", smatWrap(smatSetBit)),
+	smat.ActionID('b'): smatAction(" removeBit", smatWrap(smatRemoveBit)),
+
+	smat.ActionID('o'): smatAction(" or", smatWrap(smatOr)),
+	smat.ActionID('a'): smatAction(" and", smatWrap(smatAnd)),
+	smat.ActionID('z'): smatAction(" xor", smatWrap(smatXor)),
+
+	smat.ActionID('#'): smatAction(" cardinality", smatWrap(smatCardinality)),
+
+	smat.ActionID('O'): smatAction(" orCardinality", smatWrap(smatOrCardinality)),
+	smat.ActionID('A'): smatAction(" andCardinality", smatWrap(smatAndCardinality)),
+	smat.ActionID('Z'): smatAction(" xorCardinality", smatWrap(smatXorCardinality)),
+
+	smat.ActionID('c'): smatAction(" clear", smatWrap(smatClear)),
+	smat.ActionID('r'): smatAction(" runOptimize", smatWrap(smatRunOptimize)),
+
+	smat.ActionID('e'): smatAction(" isEmpty", smatWrap(smatIsEmpty)),
+
+	smat.ActionID('i'): smatAction(" intersects", smatWrap(smatIntersects)),
+
+	smat.ActionID('f'): smatAction(" flip", smatWrap(smatFlip)),
+
+	smat.ActionID('-'): smatAction(" difference", smatWrap(smatDifference)),
+}
+
+var smatRunningPercentActions []smat.PercentAction
+
+func init() {
+	var ids []int
+	for actionId := range smatActionMap {
+		ids = append(ids, int(actionId))
+	}
+	sort.Ints(ids)
+
+	pct := 100 / len(smatActionMap)
+	for _, actionId := range ids {
+		smatRunningPercentActions = append(smatRunningPercentActions,
+			smat.PercentAction{Percent: pct, Action: smat.ActionID(actionId)})
+	}
+
+	smatActionMap[smat.ActionID('S')] = smatAction("SETUP", smatSetupFunc)
+	smatActionMap[smat.ActionID('T')] = smatAction("TEARDOWN", smatTeardownFunc)
+}
+
+// We only have one smat state: running.
+func smatRunning(next byte) smat.ActionID {
+	return smat.PercentExecute(next, smatRunningPercentActions...)
+}
+
+func smatAction(name string, f func(ctx smat.Context) (smat.State, error)) func(smat.Context) (smat.State, error) {
+	return func(ctx smat.Context) (smat.State, error) {
+		c := ctx.(*smatContext)
+
+		// Snapshot all pairs' bitmaps (base64 of MarshalBinary) before action
+		rec := actionRecord{Name: name, X: c.x, Y: c.y}
+		if len(c.pairs) > 0 {
+			rec.PairSnapshots = make([]string, 0, len(c.pairs))
+			for _, pair := range c.pairs {
+				if pair == nil || pair.bm == nil {
+					rec.PairSnapshots = append(rec.PairSnapshots, "<nil>")
+					continue
+				}
+				b, err := pair.bm.MarshalBinary()
+				if err != nil {
+					rec.PairSnapshots = append(rec.PairSnapshots, "<marshal-error:"+err.Error()+">")
+				} else {
+					rec.PairSnapshots = append(rec.PairSnapshots, base64.StdEncoding.EncodeToString(b))
+				}
+			}
+		}
+
+		// record per-context last action (no global mutex required)
+		if c != nil {
+			c.lastAction = &rec
+		}
+
+		// catch panics inside action to dump a repro and stack before re-panicking
+		defer func() {
+			if r := recover(); r != nil {
+				// best-effort: write quick repro with lastAction from context
+				var lastAction *actionRecord
+				if c != nil {
+					lastAction = c.lastAction
+				}
+				ts := time.Now().UnixNano()
+				repro := "// Reproducer generated by smat (panic)\n"
+				repro += "package roaring\n\n"
+				repro += "import (\n\t\"encoding/base64\"\n\t\"testing\"\n)\n\n"
+				repro += fmt.Sprintf("func TestFuzzerPanicRepro_%d(t *testing.T) {\n", ts)
+				// similar to checkEquals repro
+				if lastAction != nil && len(lastAction.PairSnapshots) > 0 {
+					pairIndex := lastAction.X % len(lastAction.PairSnapshots)
+					if pairIndex < len(lastAction.PairSnapshots) {
+						snapshot := lastAction.PairSnapshots[pairIndex]
+						if snapshot != "<nil>" && !strings.HasPrefix(snapshot, "<") {
+							repro += fmt.Sprintf("\tb, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshot)
+							repro += "\tbm := NewBitmap()\n"
+							repro += "\tbm.UnmarshalBinary(b)\n"
+							// perform the action that caused panic
+							if strings.Contains(lastAction.Name, "setBit") {
+								repro += fmt.Sprintf("\tbm.AddInt(%d)\n", lastAction.Y)
+							} else if strings.Contains(lastAction.Name, "removeBit") {
+								repro += fmt.Sprintf("\tbm.Remove(%d)\n", lastAction.Y)
+							} else if strings.Contains(lastAction.Name, "flip") {
+								repro += fmt.Sprintf("\tbm.Flip(uint64(%d), uint64(%d)+1)\n", lastAction.Y, lastAction.Y)
+							} else if strings.Contains(lastAction.Name, "runOptimize") {
+								repro += "\tbm.RunOptimize()\n"
+							} else if strings.Contains(lastAction.Name, "clear") {
+								repro += "\tbm.Clear()\n"
+							} else if lastAction.Name == " or" {
+								pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+								if pairIndexY < len(lastAction.PairSnapshots) {
+									snapshotY := lastAction.PairSnapshots[pairIndexY]
+									if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+										repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+										repro += "\tbm2 := NewBitmap()\n"
+										repro += "\tbm2.UnmarshalBinary(b2)\n"
+										repro += "\tbm.Or(bm2)\n"
+									}
+								}
+							} else if lastAction.Name == " and" {
+								pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+								if pairIndexY < len(lastAction.PairSnapshots) {
+									snapshotY := lastAction.PairSnapshots[pairIndexY]
+									if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+										repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+										repro += "\tbm2 := NewBitmap()\n"
+										repro += "\tbm2.UnmarshalBinary(b2)\n"
+										repro += "\tbm.And(bm2)\n"
+									}
+								}
+							} else if lastAction.Name == " difference" {
+								pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+								if pairIndexY < len(lastAction.PairSnapshots) {
+									snapshotY := lastAction.PairSnapshots[pairIndexY]
+									if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+										repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+										repro += "\tbm2 := NewBitmap()\n"
+										repro += "\tbm2.UnmarshalBinary(b2)\n"
+										repro += "\tbm.AndNot(bm2)\n"
+									}
+								}
+							} else if lastAction.Name == " xor" {
+								pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+								if pairIndexY < len(lastAction.PairSnapshots) {
+									snapshotY := lastAction.PairSnapshots[pairIndexY]
+									if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+										repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+										repro += "\tbm2 := NewBitmap()\n"
+										repro += "\tbm2.UnmarshalBinary(b2)\n"
+										repro += "\tbm.Xor(bm2)\n"
+									}
+								}
+							} else {
+								repro += fmt.Sprintf("\t// Unhandled action: %s\n", lastAction.Name)
+							}
+						} else {
+							repro += "\t// invalid snapshot\n"
+						}
+					}
+				}
+				repro += "}\n"
+				if path, werr := saveReproFile("smat_panic_repro", ts, repro); werr == nil {
+					fmt.Printf("wrote panic repro to %s\n", path)
+				} else {
+					fmt.Printf("failed writing panic repro: %v\n", werr)
+				}
+				fmt.Printf("PANIC in action %s: %v\n", rec.Name, r)
+				fmt.Printf("stack:\n%s\n", debug.Stack())
+				panic(r)
+			}
+		}()
+
+		c.actions++
+		return f(ctx)
+	}
+}
+
+// saveReproFile writes the given repro content to workdir/<prefix>_<ts>_test.go
+// or falls back to the OS temp dir. Returns full path or error.
+func saveReproFile(prefix string, ts int64, content string) (string, error) {
+	// try workdir
+	if err := os.MkdirAll("workdir", 0o755); err == nil {
+		fname := fmt.Sprintf("workdir/%s_%d_test.go", prefix, ts)
+		if err := os.WriteFile(fname, []byte(content), 0o644); err == nil {
+			return fname, nil
+		}
+	}
+	// fallback to temp
+	tmp := os.TempDir()
+	fname := fmt.Sprintf("%s_%d_test.go", prefix, ts)
+	full := filepath.Join(tmp, fname)
+	if err := os.WriteFile(full, []byte(content), 0o644); err == nil {
+		return full, nil
+	} else {
+		return "", err
+	}
+}
+
+// Creates an smat action func based on a simple callback.
+func smatWrap(cb func(c *smatContext)) func(smat.Context) (next smat.State, err error) {
+	return func(ctx smat.Context) (next smat.State, err error) {
+		c := ctx.(*smatContext)
+		cb(c)
+		return smatRunning, nil
+	}
+}
+
+// Invokes a callback function with the input v bounded to len(c.pairs).
+func (c *smatContext) withPair(v int, cb func(*smatPair)) {
+	if len(c.pairs) > 0 {
+		if v < 0 {
+			v = -v
+		}
+		v = v % len(c.pairs)
+		cb(c.pairs[v])
+	}
+}
+
+// ------------------------------------------------------------------
+
+func smatSetupFunc(ctx smat.Context) (next smat.State, err error) {
+	return smatRunning, nil
+}
+
+func smatTeardownFunc(ctx smat.Context) (next smat.State, err error) {
+	return nil, err
+}
+
+// ------------------------------------------------------------------
+
+func smatPushPair(c *smatContext) {
+	if len(c.pairs) >= max_pairs {
+		return
+	}
+	p := &smatPair{
+		bm:  NewBitmap(),
+		bs:  bitset.New(100),
+		ctx: c,
+	}
+	c.pairs = append(c.pairs, p)
+}
+
+func smatPopPair(c *smatContext) {
+	if len(c.pairs) > 0 {
+		c.pairs = c.pairs[0 : len(c.pairs)-1]
+	}
+}
+
+func smatSetBit(c *smatContext) {
+	c.withPair(c.x, func(p *smatPair) {
+		p.Validate()
+		y := uint32(c.y)
+		p.bm.AddInt(int(y))
+		p.bs.Set(uint(y))
+		p.checkEquals()
+	})
+}
+
+func smatRemoveBit(c *smatContext) {
+	c.withPair(c.x, func(p *smatPair) {
+		p.Validate()
+		y := uint32(c.y)
+		p.bm.Remove(y)
+		p.bs.Clear(uint(y))
+		p.checkEquals()
+	})
+}
+
+func smatAnd(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			px.bm.And(py.bm)
+			px.bs = px.bs.Intersection(py.bs)
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatOr(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			px.bm.Or(py.bm)
+			px.bs = px.bs.Union(py.bs)
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatXor(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			px.bm.Xor(py.bm)
+			px.bs = px.bs.SymmetricDifference(py.bs)
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatAndCardinality(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			c0 := px.bm.AndCardinality(py.bm)
+			c1 := px.bs.IntersectionCardinality(py.bs)
+			if c0 != uint64(c1) {
+				panic("expected same add cardinality")
+			}
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatOrCardinality(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			c0 := px.bm.OrCardinality(py.bm)
+			c1 := px.bs.UnionCardinality(py.bs)
+			if c0 != uint64(c1) {
+				panic("expected same or cardinality")
+			}
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatXorCardinality(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			c0 := px.bm.OrCardinality(py.bm) - px.bm.AndCardinality(py.bm)
+			c1 := px.bs.SymmetricDifferenceCardinality(py.bs)
+			if c0 != uint64(c1) {
+				panic("expected same xor cardinality")
+			}
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatRunOptimize(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		px.Validate()
+		px.bm.RunOptimize()
+		px.checkEquals()
+	})
+}
+
+func smatClear(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		px.Validate()
+		px.bm.Clear()
+		px.bs = px.bs.ClearAll()
+		px.checkEquals()
+	})
+}
+
+func smatCardinality(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c0 := px.bm.GetCardinality()
+		c1 := px.bs.Count()
+		if c0 != uint64(c1) {
+			panic("expected same cardinality")
+		}
+	})
+}
+
+func smatIsEmpty(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c0 := px.bm.IsEmpty()
+		c1 := px.bs.None()
+		if c0 != c1 {
+			panic("expected same is empty")
+		}
+	})
+}
+
+func smatIntersects(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			v0 := px.bm.Intersects(py.bm)
+			v1 := px.bs.IntersectionCardinality(py.bs) > 0
+			if v0 != v1 {
+				panic("intersects not equal")
+			}
+
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func smatFlip(c *smatContext) {
+	c.withPair(c.x, func(p *smatPair) {
+		p.Validate()
+		y := uint32(c.y)
+		p.bm.Flip(uint64(y), uint64(y)+1)
+		p.bs = p.bs.Flip(uint(y))
+		p.checkEquals()
+	})
+}
+
+func smatDifference(c *smatContext) {
+	c.withPair(c.x, func(px *smatPair) {
+		c.withPair(c.y, func(py *smatPair) {
+			px.Validate()
+			py.Validate()
+			px.bm.AndNot(py.bm)
+			px.bs = px.bs.Difference(py.bs)
+			px.checkEquals()
+			py.checkEquals()
+		})
+	})
+}
+
+func (p *smatPair) checkEquals() {
+	valid := p.bm.Validate()
+	if valid != nil {
+		// marshal current bitmap
+		var curSnap string
+		if p != nil && p.bm != nil {
+			if b, err := p.bm.MarshalBinary(); err == nil {
+				curSnap = base64.StdEncoding.EncodeToString(b)
+			} else {
+				curSnap = "<marshal-error:" + err.Error() + ">"
+			}
+		} else {
+			curSnap = "<nil>"
+		}
+
+		// collect last action summary from context (per-worker)
+		last := "<none>"
+		if p != nil && p.ctx != nil {
+			c := p.ctx
+			if c.lastAction != nil {
+				last = fmt.Sprintf("action=%s x=%d y=%d pairs=%d", c.lastAction.Name, c.lastAction.X, c.lastAction.Y, len(c.lastAction.PairSnapshots))
+			}
+		}
+
+		// If debugging enabled, log extra info
+		smatLog("ERROR: ", "bitmap invalid: %v\n", valid)
+
+		// build a reproducible test snippet that reconstructs the bitmap and replays the failing action
+		ts := time.Now().UnixNano()
+		testName := fmt.Sprintf("TestFuzzerRepro_%d", ts)
+		repro := "// Reproducer generated by smat\n"
+		repro += "package roaring\n\n"
+		repro += "import (\n\t\"encoding/base64\"\n\t\"testing\"\n)\n\n"
+		repro += fmt.Sprintf("func %s(t *testing.T) {\n", testName)
+		var lastAction *actionRecord
+		if p != nil && p.ctx != nil {
+			lastAction = p.ctx.lastAction
+		}
+		// use the snapshot of the modified pair
+		if lastAction != nil && len(lastAction.PairSnapshots) > 0 {
+			// assume the modified pair is x % len(pairs), but since pairs are in order, and x is lastAction.X
+			pairIndex := lastAction.X % len(lastAction.PairSnapshots)
+			if pairIndex < len(lastAction.PairSnapshots) {
+				snapshot := lastAction.PairSnapshots[pairIndex]
+				if snapshot != "<nil>" && !strings.HasPrefix(snapshot, "<") {
+					repro += fmt.Sprintf("\tb, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshot)
+					repro += "\tbm := NewBitmap()\n"
+					repro += "\tbm.UnmarshalBinary(b)\n"
+					repro += "\tif err := bm.Validate(); err != nil {\n"
+					repro += "\t\tt.Errorf(\"Initial Validate failed: %v\", err)\n"
+					repro += "\t}\n"
+					// perform the action
+					if strings.Contains(lastAction.Name, "setBit") {
+						repro += fmt.Sprintf("\tbm.AddInt(%d)\n", lastAction.Y)
+					} else if strings.Contains(lastAction.Name, "removeBit") {
+						repro += fmt.Sprintf("\tbm.Remove(%d)\n", lastAction.Y)
+					} else if strings.Contains(lastAction.Name, "flip") {
+						repro += fmt.Sprintf("\tbm.Flip(uint64(%d), uint64(%d)+1)\n", lastAction.Y, lastAction.Y)
+					} else if strings.Contains(lastAction.Name, "runOptimize") {
+						repro += "\tbm.RunOptimize()\n"
+					} else if strings.Contains(lastAction.Name, "clear") {
+						repro += "\tbm.Clear()\n"
+					} else if lastAction.Name == " or" {
+						pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+						if pairIndexY < len(lastAction.PairSnapshots) {
+							snapshotY := lastAction.PairSnapshots[pairIndexY]
+							if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+								repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+								repro += "\tbm2 := NewBitmap()\n"
+								repro += "\tbm2.UnmarshalBinary(b2)\n"
+								repro += "\tbm.Or(bm2)\n"
+							}
+						}
+					} else if lastAction.Name == " and" {
+						pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+						if pairIndexY < len(lastAction.PairSnapshots) {
+							snapshotY := lastAction.PairSnapshots[pairIndexY]
+							if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+								repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+								repro += "\tbm2 := NewBitmap()\n"
+								repro += "\tbm2.UnmarshalBinary(b2)\n"
+								repro += "\tbm.And(bm2)\n"
+							}
+						}
+					} else if lastAction.Name == " difference" {
+						pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+						if pairIndexY < len(lastAction.PairSnapshots) {
+							snapshotY := lastAction.PairSnapshots[pairIndexY]
+							if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+								repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+								repro += "\tbm2 := NewBitmap()\n"
+								repro += "\tbm2.UnmarshalBinary(b2)\n"
+								repro += "\tbm.AndNot(bm2)\n"
+							}
+						}
+					} else if lastAction.Name == " xor" {
+						pairIndexY := lastAction.Y % len(lastAction.PairSnapshots)
+						if pairIndexY < len(lastAction.PairSnapshots) {
+							snapshotY := lastAction.PairSnapshots[pairIndexY]
+							if snapshotY != "<nil>" && !strings.HasPrefix(snapshotY, "<") {
+								repro += fmt.Sprintf("\tb2, _ := base64.StdEncoding.DecodeString(\"%s\")\n", snapshotY)
+								repro += "\tbm2 := NewBitmap()\n"
+								repro += "\tbm2.UnmarshalBinary(b2)\n"
+								repro += "\tbm.Xor(bm2)\n"
+							}
+						}
+					} else {
+						repro += fmt.Sprintf("\t// Unhandled action: %s\n", lastAction.Name)
+					}
+					repro += "\tif err := bm.Validate(); err != nil {\n"
+					repro += "\t\tt.Errorf(\"Validate failed: %v\", err)\n"
+					repro += "\t} else {\n"
+					repro += "\t\tt.Logf(\"Validate succeeded\")\n"
+					repro += "\t}\n"
+				} else {
+					repro += "\t// invalid snapshot\n"
+				}
+			}
+		}
+		repro += "}\n"
+
+		// print the repro snippet for the developer
+		fmt.Println()
+		fmt.Println("=== SMAT REPRODUCER SNIPPET ===")
+		if len(repro) > 10000 {
+			fmt.Println("// Reproducer too large, skipping full print")
+		} else {
+			fmt.Println(repro)
+		}
+
+		// also write the repro snippet to a timestamped file in workdir/
+		if len(repro) > 10000 {
+			repro = "// Reproducer too large, skipping\n"
+		}
+		if err := os.MkdirAll("workdir", 0o755); err == nil {
+			fname := fmt.Sprintf("workdir/smat_repro_%d_test.go", ts)
+			if werr := os.WriteFile(fname, []byte(repro), 0o644); werr == nil {
+				fmt.Printf("Wrote repro to %s\n", fname)
+			} else {
+				fmt.Printf("Failed writing repro file: %v\n", werr)
+			}
+		} else {
+			fmt.Printf("Failed creating workdir: %v\n", err)
+		}
+
+		panic(fmt.Sprintf("[checkEquals] bitmap invalid: %v\ncurrentBase64:%s\nlastAction:%s\n", valid, curSnap, last))
+	}
+	if !p.equalsBitSet(p.bs, p.bm) {
+		panic("bitset mismatch")
+	}
+}
+
+func (p *smatPair) Validate() {
+	valid := p.bm.Validate()
+	if valid != nil {
+		panic(fmt.Sprintf("[Validate] bitmap invalid: %v", valid))
+	}
+}
+
+func (p *smatPair) equalsBitSet(a *bitset.BitSet, b *Bitmap) bool {
+	for i, e := a.NextSet(0); e; i, e = a.NextSet(i + 1) {
+		if !b.ContainsInt(int(i)) {
+			fmt.Printf("in a bitset, not b bitmap, i: %d\n", i)
+			fmt.Printf("  a bitset: %s\n  b bitmap: %s\n",
+				a.String(), b.String())
+			return false
+		}
+	}
+
+	i := b.Iterator()
+	for i.HasNext() {
+		v := i.Next()
+		if !a.Test(uint(v)) {
+			fmt.Printf("in b bitmap, not a bitset, v: %d\n", v)
+			fmt.Printf("  a bitset: %s\n  b bitmap: %s\n",
+				a.String(), b.String())
+			return false
+		}
+	}
+
+	return true
+}

vendor/github.com/RoaringBitmap/roaring/v2/util.go

@@ -0,0 +1,313 @@
+package roaring
+
+import (
+	"math"
+	"math/rand"
+	"sort"
+)
+
+const (
+	arrayDefaultMaxSize        = 4096 // containers with 4096 or fewer integers should be array containers.
+	arrayLazyLowerBound        = 1024
+	maxCapacity                = 1 << 16
+	serialCookieNoRunContainer = 12346 // only arrays and bitmaps
+	invalidCardinality         = -1
+	serialCookie               = 12347 // runs, arrays, and bitmaps
+	noOffsetThreshold          = 4
+
+	// MaxUint32 is the largest uint32 value.
+	MaxUint32 = math.MaxUint32
+
+	// MaxRange is One more than the maximum allowed bitmap bit index. For use as an upper
+	// bound for ranges.
+	MaxRange uint64 = MaxUint32 + 1
+
+	// MaxUint16 is the largest 16 bit unsigned int.
+	// This is the largest value an interval16 can store.
+	MaxUint16 = math.MaxUint16
+
+	// Compute wordSizeInBytes, the size of a word in bytes.
+	_m              = ^uint64(0)
+	_logS           = _m>>8&1 + _m>>16&1 + _m>>32&1
+	wordSizeInBytes = 1 << _logS
+
+	// other constants used in ctz_generic.go
+	wordSizeInBits = wordSizeInBytes << 3 // word size in bits
+)
+
+const maxWord = 1<<wordSizeInBits - 1
+
+// doesn't apply to runContainers
+func getSizeInBytesFromCardinality(card int) int {
+	if card > arrayDefaultMaxSize {
+		// bitmapContainer
+		return maxCapacity / 8
+	}
+	// arrayContainer
+	return 2 * card
+}
+
+func fill(arr []uint64, val uint64) {
+	for i := range arr {
+		arr[i] = val
+	}
+}
+
+func fillRange(arr []uint64, start, end int, val uint64) {
+	for i := start; i < end; i++ {
+		arr[i] = val
+	}
+}
+
+func fillArrayAND(container []uint16, bitmap1, bitmap2 []uint64) {
+	if len(bitmap1) != len(bitmap2) {
+		panic("array lengths don't match")
+	}
+	// TODO: rewrite in assembly
+	pos := 0
+	for k := range bitmap1 {
+		bitset := bitmap1[k] & bitmap2[k]
+		for bitset != 0 {
+			t := bitset & -bitset
+			container[pos] = uint16((k*64 + int(popcount(t-1))))
+			pos = pos + 1
+			bitset ^= t
+		}
+	}
+}
+
+func fillArrayANDNOT(container []uint16, bitmap1, bitmap2 []uint64) {
+	if len(bitmap1) != len(bitmap2) {
+		panic("array lengths don't match")
+	}
+	// TODO: rewrite in assembly
+	pos := 0
+	for k := range bitmap1 {
+		bitset := bitmap1[k] &^ bitmap2[k]
+		for bitset != 0 {
+			t := bitset & -bitset
+			container[pos] = uint16((k*64 + int(popcount(t-1))))
+			pos = pos + 1
+			bitset ^= t
+		}
+	}
+}
+
+func fillArrayXOR(container []uint16, bitmap1, bitmap2 []uint64) {
+	if len(bitmap1) != len(bitmap2) {
+		panic("array lengths don't match")
+	}
+	// TODO: rewrite in assembly
+	pos := 0
+	for k := 0; k < len(bitmap1); k++ {
+		bitset := bitmap1[k] ^ bitmap2[k]
+		for bitset != 0 {
+			t := bitset & -bitset
+			container[pos] = uint16((k*64 + int(popcount(t-1))))
+			pos = pos + 1
+			bitset ^= t
+		}
+	}
+}
+
+func highbits(x uint32) uint16 {
+	return uint16(x >> 16)
+}
+
+func lowbits(x uint32) uint16 {
+	return uint16(x & maxLowBit)
+}
+
+func combineLoHi16(lob uint16, hob uint16) uint32 {
+	return combineLoHi32(uint32(lob), uint32(hob))
+}
+
+func combineLoHi32(lob uint32, hob uint32) uint32 {
+	return uint32(lob) | (hob << 16)
+}
+
+const maxLowBit = 0xFFFF
+
+func flipBitmapRange(bitmap []uint64, start int, end int) {
+	if start >= end {
+		return
+	}
+	firstword := start / 64
+	endword := (end - 1) / 64
+	bitmap[firstword] ^= ^(^uint64(0) << uint(start%64))
+	for i := firstword; i < endword; i++ {
+		bitmap[i] = ^bitmap[i]
+	}
+	bitmap[endword] ^= ^uint64(0) >> (uint(-end) % 64)
+}
+
+func resetBitmapRange(bitmap []uint64, start int, end int) {
+	if start >= end {
+		return
+	}
+	firstword := start / 64
+	endword := (end - 1) / 64
+	if firstword == endword {
+		bitmap[firstword] &= ^((^uint64(0) << uint(start%64)) & (^uint64(0) >> (uint(-end) % 64)))
+		return
+	}
+	bitmap[firstword] &= ^(^uint64(0) << uint(start%64))
+	for i := firstword + 1; i < endword; i++ {
+		bitmap[i] = 0
+	}
+	bitmap[endword] &= ^(^uint64(0) >> (uint(-end) % 64))
+}
+
+func setBitmapRange(bitmap []uint64, start int, end int) {
+	if start >= end {
+		return
+	}
+	firstword := start / 64
+	endword := (end - 1) / 64
+	if firstword == endword {
+		bitmap[firstword] |= (^uint64(0) << uint(start%64)) & (^uint64(0) >> (uint(-end) % 64))
+		return
+	}
+	bitmap[firstword] |= ^uint64(0) << uint(start%64)
+	for i := firstword + 1; i < endword; i++ {
+		bitmap[i] = ^uint64(0)
+	}
+	bitmap[endword] |= ^uint64(0) >> (uint(-end) % 64)
+}
+
+func flipBitmapRangeAndCardinalityChange(bitmap []uint64, start int, end int) int {
+	before := wordCardinalityForBitmapRange(bitmap, start, end)
+	flipBitmapRange(bitmap, start, end)
+	after := wordCardinalityForBitmapRange(bitmap, start, end)
+	return int(after - before)
+}
+
+func resetBitmapRangeAndCardinalityChange(bitmap []uint64, start int, end int) int {
+	before := wordCardinalityForBitmapRange(bitmap, start, end)
+	resetBitmapRange(bitmap, start, end)
+	after := wordCardinalityForBitmapRange(bitmap, start, end)
+	return int(after - before)
+}
+
+func setBitmapRangeAndCardinalityChange(bitmap []uint64, start int, end int) int {
+	before := wordCardinalityForBitmapRange(bitmap, start, end)
+	setBitmapRange(bitmap, start, end)
+	after := wordCardinalityForBitmapRange(bitmap, start, end)
+	return int(after - before)
+}
+
+func wordCardinalityForBitmapRange(bitmap []uint64, start int, end int) uint64 {
+	answer := uint64(0)
+	if start >= end {
+		return answer
+	}
+	firstword := start / 64
+	endword := (end - 1) / 64
+	for i := firstword; i <= endword; i++ {
+		answer += popcount(bitmap[i])
+	}
+	return answer
+}
+
+func selectBitPosition(w uint64, j int) int {
+	seen := 0
+
+	// Divide 64bit
+	part := w & 0xFFFFFFFF
+	n := popcount(part)
+	if n <= uint64(j) {
+		part = w >> 32
+		seen += 32
+		j -= int(n)
+	}
+	w = part
+
+	// Divide 32bit
+	part = w & 0xFFFF
+	n = popcount(part)
+	if n <= uint64(j) {
+		part = w >> 16
+		seen += 16
+		j -= int(n)
+	}
+	w = part
+
+	// Divide 16bit
+	part = w & 0xFF
+	n = popcount(part)
+	if n <= uint64(j) {
+		part = w >> 8
+		seen += 8
+		j -= int(n)
+	}
+	w = part
+
+	// Lookup in final byte
+	var counter uint
+	for counter = 0; counter < 8; counter++ {
+		j -= int((w >> counter) & 1)
+		if j < 0 {
+			break
+		}
+	}
+	return seen + int(counter)
+}
+
+func panicOn(err error) {
+	if err != nil {
+		panic(err)
+	}
+}
+
+type ph struct {
+	orig int
+	rand int
+}
+
+type pha []ph
+
+func (p pha) Len() int           { return len(p) }
+func (p pha) Less(i, j int) bool { return p[i].rand < p[j].rand }
+func (p pha) Swap(i, j int)      { p[i], p[j] = p[j], p[i] }
+
+func getRandomPermutation(n int) []int {
+	r := make([]ph, n)
+	for i := 0; i < n; i++ {
+		r[i].orig = i
+		r[i].rand = rand.Intn(1 << 29)
+	}
+	sort.Sort(pha(r))
+	m := make([]int, n)
+	for i := range m {
+		m[i] = r[i].orig
+	}
+	return m
+}
+
+func minOfInt(a, b int) int {
+	if a < b {
+		return a
+	}
+	return b
+}
+
+func maxOfInt(a, b int) int {
+	if a > b {
+		return a
+	}
+	return b
+}
+
+func maxOfUint16(a, b uint16) uint16 {
+	if a > b {
+		return a
+	}
+	return b
+}
+
+func minOfUint16(a, b uint16) uint16 {
+	if a < b {
+		return a
+	}
+	return b
+}

vendor/github.com/bits-and-blooms/bitset/.gitignore

@@ -0,0 +1,26 @@
+# Compiled Object files, Static and Dynamic libs (Shared Objects)
+*.o
+*.a
+*.so
+
+# Folders
+_obj
+_test
+
+# Architecture specific extensions/prefixes
+*.[568vq]
+[568vq].out
+
+*.cgo1.go
+*.cgo2.c
+_cgo_defun.c
+_cgo_gotypes.go
+_cgo_export.*
+
+_testmain.go
+
+*.exe
+*.test
+*.prof
+
+target

vendor/github.com/bits-and-blooms/bitset/.travis.yml

@@ -0,0 +1,37 @@
+language: go
+
+sudo: false
+
+branches:
+  except:
+    - release
+
+branches:
+  only:
+    - master
+    - travis
+
+go:
+  - "1.11.x"
+  - tip
+
+matrix:
+  allow_failures:
+    - go: tip
+
+before_install:
+  - if [ -n "$GH_USER" ]; then git config --global github.user ${GH_USER}; fi;
+  - if [ -n "$GH_TOKEN" ]; then git config --global github.token ${GH_TOKEN}; fi;
+  - go get github.com/mattn/goveralls
+
+before_script:
+  - make deps
+
+script:
+  - make qa
+
+after_failure:
+  - cat ./target/test/report.xml
+
+after_success:
+  - if [ "$TRAVIS_GO_VERSION" = "1.11.1" ]; then $HOME/gopath/bin/goveralls -covermode=count -coverprofile=target/report/coverage.out -service=travis-ci; fi;

vendor/github.com/bits-and-blooms/bitset/LICENSE

@@ -0,0 +1,27 @@
+Copyright (c) 2014 Will Fitzgerald. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   * Redistributions of source code must retain the above copyright
+notice, this list of conditions and the following disclaimer.
+   * Redistributions in binary form must reproduce the above
+copyright notice, this list of conditions and the following disclaimer
+in the documentation and/or other materials provided with the
+distribution.
+   * Neither the name of Google Inc. nor the names of its
+contributors may be used to endorse or promote products derived from
+this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

vendor/github.com/bits-and-blooms/bitset/README.md

@@ -0,0 +1,176 @@
+# bitset
+
+*Go language library to map between non-negative integers and boolean values*
+
+[![Test](https://github.com/bits-and-blooms/bitset/workflows/Test/badge.svg)](https://github.com/willf/bitset/actions?query=workflow%3ATest)
+[![Go Report Card](https://goreportcard.com/badge/github.com/willf/bitset)](https://goreportcard.com/report/github.com/willf/bitset)
+[![PkgGoDev](https://pkg.go.dev/badge/github.com/bits-and-blooms/bitset?tab=doc)](https://pkg.go.dev/github.com/bits-and-blooms/bitset?tab=doc)
+
+
+This library is part of the [awesome go collection](https://github.com/avelino/awesome-go). It is used in production by several important systems:
+
+* [beego](https://github.com/beego/beego)
+* [CubeFS](https://github.com/cubefs/cubefs)
+* [Amazon EKS Distro](https://github.com/aws/eks-distro)
+* [sourcegraph](https://github.com/sourcegraph/sourcegraph-public-snapshot)
+* [torrent](https://github.com/anacrolix/torrent)
+
+
+## Description
+
+Package bitset implements bitsets, a mapping between non-negative integers and boolean values.
+It should be more efficient than map[uint] bool.
+
+It provides methods for setting, clearing, flipping, and testing individual integers.
+
+But it also provides set intersection, union, difference, complement, and symmetric operations, as well as tests to check whether any, all, or no bits are set, and querying a bitset's current length and number of positive bits.
+
+BitSets are expanded to the size of the largest set bit; the memory allocation is approximately Max bits, where Max is the largest set bit. BitSets are never shrunk automatically, but `Shrink` and `Compact` methods are available. On creation, a hint can be given for the number of bits that will be used.
+
+Many of the methods, including Set, Clear, and Flip, return a BitSet pointer, which allows for chaining.
+
+### Example use:
+
+```go
+package main
+
+import (
+	"fmt"
+	"math/rand"
+
+	"github.com/bits-and-blooms/bitset"
+)
+
+func main() {
+	fmt.Printf("Hello from BitSet!\n")
+	var b bitset.BitSet
+	// play some Go Fish
+	for i := 0; i < 100; i++ {
+		card1 := uint(rand.Intn(52))
+		card2 := uint(rand.Intn(52))
+		b.Set(card1)
+		if b.Test(card2) {
+			fmt.Println("Go Fish!")
+		}
+		b.Clear(card1)
+	}
+
+	// Chaining
+	b.Set(10).Set(11)
+
+	for i, e := b.NextSet(0); e; i, e = b.NextSet(i + 1) {
+		fmt.Println("The following bit is set:", i)
+	}
+	if b.Intersection(bitset.New(100).Set(10)).Count() == 1 {
+		fmt.Println("Intersection works.")
+	} else {
+		fmt.Println("Intersection doesn't work???")
+	}
+}
+```
+
+If you have Go 1.23 or better, you can iterate over the set bits like so:
+
+```go
+for i := range b.EachSet() {}
+```
+
+
+
+Package documentation is at: https://pkg.go.dev/github.com/bits-and-blooms/bitset?tab=doc
+
+## Serialization
+
+
+You may serialize a bitset safely and portably to a stream
+of bytes as follows:
+```Go
+    const length = 9585
+	const oneEvery = 97
+	bs := bitset.New(length)
+	// Add some bits
+	for i := uint(0); i < length; i += oneEvery {
+		bs = bs.Set(i)
+	}
+
+	var buf bytes.Buffer
+	n, err := bs.WriteTo(&buf)
+	if err != nil {
+		// failure
+	}
+	// Here n == buf.Len()
+```
+You can later deserialize the result as follows:
+
+```Go
+	// Read back from buf
+	bs = bitset.New()
+	n, err = bs.ReadFrom(&buf)
+	if err != nil {
+		// error
+	}
+	// n is the number of bytes read
+```
+
+The `ReadFrom` function attempts to read the data into the existing
+BitSet instance, to minimize memory allocations.
+
+
+*Performance tip*: 
+When reading and writing to a file or a network connection, you may get better performance by 
+wrapping your streams with `bufio` instances.
+
+E.g., 
+```Go
+	f, err := os.Create("myfile")
+	w := bufio.NewWriter(f)
+```
+```Go
+	f, err := os.Open("myfile")
+	r := bufio.NewReader(f)
+```
+
+## Memory Usage
+
+The memory usage of a bitset using `N` bits is at least `N/8` bytes. The number of bits in a bitset is at least as large as one plus the greatest bit index you have accessed. Thus it is possible to run out of memory while using a bitset. If you have lots of bits, you might prefer compressed bitsets, like the [Roaring bitmaps](https://roaringbitmap.org) and its [Go implementation](https://github.com/RoaringBitmap/roaring).
+
+The `roaring` library allows you to go back and forth between compressed Roaring bitmaps and the conventional bitset instances:
+```Go
+			mybitset := roaringbitmap.ToBitSet()
+			newroaringbitmap := roaring.FromBitSet(mybitset)
+```
+
+
+### Goroutine safety
+
+In general, it's not safe to access the same BitSet using different goroutines--they are unsynchronized for performance.
+
+Should you want to access a BitSet from more than one goroutine, you should provide synchronization. Typically this is done by using channels to pass the *BitSet around (in Go style; so there is only ever one owner), or by using `sync.Mutex` to serialize operations on BitSets.
+
+## Installation
+
+```bash
+go get github.com/bits-and-blooms/bitset
+```
+
+## Contributing
+
+If you wish to contribute to this project, please branch and issue a pull request against master ("[GitHub Flow](https://guides.github.com/introduction/flow/)")
+
+## Running all tests
+
+Before committing the code, please check if it passes tests, has adequate coverage, etc.
+```bash
+go test
+go test -cover
+```
+
+## Stars
+
+
+[![Star History Chart](https://api.star-history.com/svg?repos=bits-and-blooms/bitset&type=Date)](https://www.star-history.com/#bits-and-blooms/bitset&Date)
+
+## Further reading
+
+<p>Mastering Programming: From Testing to Performance in Go</p>
+<div><a href="https://www.amazon.com/dp/B0FMPGSWR5"><img style="margin-left: auto; margin-right: auto;" src="https://m.media-amazon.com/images/I/61feneHS7kL._SL1499_.jpg" alt="" width="250px" /></a></div>

vendor/github.com/bits-and-blooms/bitset/SECURITY.md

@@ -0,0 +1,5 @@
+# Security Policy
+
+## Reporting a Vulnerability
+
+You can report privately a vulnerability by email at daniel@lemire.me (current maintainer).

vendor/github.com/bits-and-blooms/bitset/azure-pipelines.yml

@@ -0,0 +1,39 @@
+# Go
+# Build your Go project.
+# Add steps that test, save build artifacts, deploy, and more:
+# https://docs.microsoft.com/azure/devops/pipelines/languages/go
+
+trigger:
+- master
+
+pool:
+  vmImage: 'Ubuntu-16.04'
+
+variables:
+  GOBIN:  '$(GOPATH)/bin' # Go binaries path
+  GOROOT: '/usr/local/go1.11' # Go installation path
+  GOPATH: '$(system.defaultWorkingDirectory)/gopath' # Go workspace path
+  modulePath: '$(GOPATH)/src/github.com/$(build.repository.name)' # Path to the module's code
+
+steps:
+- script: |
+    mkdir -p '$(GOBIN)'
+    mkdir -p '$(GOPATH)/pkg'
+    mkdir -p '$(modulePath)'
+    shopt -s extglob
+    shopt -s dotglob
+    mv !(gopath) '$(modulePath)'
+    echo '##vso[task.prependpath]$(GOBIN)'
+    echo '##vso[task.prependpath]$(GOROOT)/bin'
+  displayName: 'Set up the Go workspace'
+
+- script: |
+    go version
+    go get -v -t -d ./...
+    if [ -f Gopkg.toml ]; then
+        curl https://raw.githubusercontent.com/golang/dep/master/install.sh | sh
+        dep ensure
+    fi
+    go build -v .
+  workingDirectory: '$(modulePath)'
+  displayName: 'Get dependencies, then build'

vendor/github.com/bits-and-blooms/bitset/bitset_iter.go

@@ -0,0 +1,23 @@
+//go:build go1.23
+// +build go1.23
+
+package bitset
+
+import (
+	"iter"
+	"math/bits"
+)
+
+func (b *BitSet) EachSet() iter.Seq[uint] {
+	return func(yield func(uint) bool) {
+		for wordIndex, word := range b.set {
+			idx := 0
+			for trail := bits.TrailingZeros64(word); trail != 64; trail = bits.TrailingZeros64(word >> idx) {
+				if !yield(uint(wordIndex<<log2WordSize + idx + trail)) {
+					return
+				}
+				idx += trail + 1
+			}
+		}
+	}
+}

vendor/github.com/bits-and-blooms/bitset/popcnt.go

@@ -0,0 +1,52 @@
+package bitset
+
+import "math/bits"
+
+func popcntSlice(s []uint64) (cnt uint64) {
+	for _, x := range s {
+		cnt += uint64(bits.OnesCount64(x))
+	}
+	return
+}
+
+func popcntMaskSlice(s, m []uint64) (cnt uint64) {
+	// The next line is to help the bounds checker, it matters!
+	_ = m[len(s)-1] // BCE
+	for i := range s {
+		cnt += uint64(bits.OnesCount64(s[i] &^ m[i]))
+	}
+	return
+}
+
+// popcntAndSlice computes the population count of the AND of two slices.
+// It assumes that len(m) >= len(s) > 0.
+func popcntAndSlice(s, m []uint64) (cnt uint64) {
+	// The next line is to help the bounds checker, it matters!
+	_ = m[len(s)-1] // BCE
+	for i := range s {
+		cnt += uint64(bits.OnesCount64(s[i] & m[i]))
+	}
+	return
+}
+
+// popcntOrSlice computes the population count of the OR of two slices.
+// It assumes that len(m) >= len(s) > 0.
+func popcntOrSlice(s, m []uint64) (cnt uint64) {
+	// The next line is to help the bounds checker, it matters!
+	_ = m[len(s)-1] // BCE
+	for i := range s {
+		cnt += uint64(bits.OnesCount64(s[i] | m[i]))
+	}
+	return
+}
+
+// popcntXorSlice computes the population count of the XOR of two slices.
+// It assumes that len(m) >= len(s) > 0.
+func popcntXorSlice(s, m []uint64) (cnt uint64) {
+	// The next line is to help the bounds checker, it matters!
+	_ = m[len(s)-1] // BCE
+	for i := range s {
+		cnt += uint64(bits.OnesCount64(s[i] ^ m[i]))
+	}
+	return
+}

vendor/github.com/bits-and-blooms/bitset/select.go

@@ -0,0 +1,47 @@
+package bitset
+
+import "math/bits"
+
+func select64(w uint64, j uint) uint {
+	seen := 0
+	// Divide 64bit
+	part := w & 0xFFFFFFFF
+	n := uint(bits.OnesCount64(part))
+	if n <= j {
+		part = w >> 32
+		seen += 32
+		j -= n
+	}
+	ww := part
+
+	// Divide 32bit
+	part = ww & 0xFFFF
+
+	n = uint(bits.OnesCount64(part))
+	if n <= j {
+		part = ww >> 16
+		seen += 16
+		j -= n
+	}
+	ww = part
+
+	// Divide 16bit
+	part = ww & 0xFF
+	n = uint(bits.OnesCount64(part))
+	if n <= j {
+		part = ww >> 8
+		seen += 8
+		j -= n
+	}
+	ww = part
+
+	// Lookup in final byte
+	counter := 0
+	for ; counter < 8; counter++ {
+		j -= uint((ww >> counter) & 1)
+		if j+1 == 0 {
+			break
+		}
+	}
+	return uint(seen + counter)
+}

vendor/github.com/mschoch/smat/.gitignore

@@ -0,0 +1,14 @@
+#*
+*.sublime-*
+*~
+.#*
+.project
+.settings
+**/.idea/
+**/*.iml
+/examples/bolt/boltsmat-fuzz.zip
+/examples/bolt/workdir/
+.DS_Store
+coverage.out
+*.test
+tags

vendor/github.com/mschoch/smat/.travis.yml

@@ -0,0 +1,16 @@
+sudo: false
+language: go
+go:
+- 1.6
+script:
+- go get golang.org/x/tools/cmd/cover
+- go get github.com/mattn/goveralls
+- go get github.com/kisielk/errcheck
+- go test -v -race
+- go vet
+- errcheck ./...
+- go test -coverprofile=profile.out -covermode=count
+- goveralls -service=travis-ci -coverprofile=profile.out -repotoken $COVERALLS
+notifications:
+  email:
+  - marty.schoch@gmail.com

vendor/github.com/mschoch/smat/LICENSE

@@ -0,0 +1,202 @@
+
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+
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vendor/github.com/mschoch/smat/README.md

@@ -0,0 +1,166 @@
+# smat – State Machine Assisted Testing
+
+The concept is simple, describe valid uses of your library as states and actions.  States describe which actions are possible, and with what probability they should occur.  Actions mutate the context and transition to another state.
+
+By doing this, two things are possible:
+
+1.  Use [go-fuzz](https://github.com/dvyukov/go-fuzz) to find/test interesting sequences of operations on your library.
+
+2.  Automate longevity testing of your application by performing long sequences of valid operations.
+
+**NOTE**: both of these can also incorporate validation logic (not just failure detection by building validation into the state machine)
+
+## Status
+
+The API is still not stable.  This is brand new and we'll probably change things we don't like...
+
+[![Build Status](https://travis-ci.org/mschoch/smat.svg?branch=master)](https://travis-ci.org/mschoch/smat)
+[![Coverage Status](https://coveralls.io/repos/github/mschoch/smat/badge.svg?branch=master)](https://coveralls.io/github/mschoch/smat?branch=master)
+[![GoDoc](https://godoc.org/github.com/mschoch/smat?status.svg)](https://godoc.org/github.com/mschoch/smat)
+[![codebeat badge](https://codebeat.co/badges/c3ff6180-a241-4128-97f0-fa6bf6f48752)](https://codebeat.co/projects/github-com-mschoch-smat)
+[![Go Report Card](https://goreportcard.com/badge/github.com/mschoch/smat)](https://goreportcard.com/report/github.com/mschoch/smat)
+
+## License
+
+Apache 2.0
+
+## How do I use it?
+
+### smat.Context
+
+Choose a structure to keep track of any state.  You pass in an instance of this when you start, and it will be passed to every action when it executes.  The actions may mutate this context.
+
+For example, consider a database library, once you open a database handle, you need to use it inside of the other actions.  So you might use a structure like:
+
+```
+type context struct {
+  db *DB
+}
+```
+
+### smat.State
+
+A state represents a state that your application/library can be in, and the probabilities thats certain actions should be taken.
+
+For example, consider a database library, in a state where the database is open, there many things you can do.  Let's consider just two right now, you can set a value, or you can delete a value.
+
+```
+func dbOpen(next byte) smat.ActionID {
+	return smat.PercentExecute(next,
+		smat.PercentAction{50, setValue},
+		smat.PercentAction{50, deleteValue},
+	)
+}
+```
+
+This says that in the open state, there are two valid actions, 50% of the time you should set a value and 50% of the time you should delete a value.  **NOTE**: these percentages are just for characterizing the test workload.
+
+### smat.Action
+
+Actions are functions that do some work, optionally mutate the context, and indicate the next state to transition to.  Below we see an example action to set value in a database.
+
+```
+func setValueFunc(ctx smat.Context) (next smat.State, err error) {
+  // type assert to our custom context type
+	context := ctx.(*context)
+  // perform the operation
+  err = context.db.Set("k", "v")
+  if err != nil {
+    return nil, err
+  }
+  // return the new state
+  return dbOpen, nil
+}
+```
+
+### smat.ActionID and smat.ActionMap
+
+Actions are just functions, and since we can't compare functions in Go, we need to introduce an external identifier for them.  This allows us to build a bi-directional mapping which we'll take advantage of later.
+
+```
+const (
+  setup smat.ActionID = iota
+  teardown
+  setValue
+  deleteValue
+)
+
+var actionMap = smat.ActionMap{
+  setup:       setupFunc,
+  teardown:    teardownFunc,
+	setValue:    setValueFunc,
+	deleteValue: deleteValueFunc,
+}
+```
+
+### smat.ActionSeq
+
+A common way that many users think about a library is as a sequence of actions to be performed.  Using the ActionID's that we've already seen we can build up sequences of operations.
+
+```
+  actionSeq := smat.ActionSeq{
+		open,
+		setValue,
+		setValue,
+		setValue,
+	}
+```
+
+Notice that we build these actions using the constants we defined above, and because of this we can have a bi-directional mapping between a stream of bytes (driving the state machine) and a sequence of actions to be performed.
+
+## Fuzzing
+
+We've built a lot of pieces, lets wire it up to go-fuzz.
+
+```
+func Fuzz(data []byte) int {
+	return smat.Fuzz(&context{}, setup, teardown, actionMap, data)
+}
+```
+
+* The first argument is an instance of context structure.
+* The second argument is the ActionID of our setup function.  The setup function does not consume any of the input stream and is used to initialize the context and determine the start state.
+* The third argument is the teardown function.  This will be called unconditionally to clean up any resources associated with the test.
+* The fourth argument is the actionMap which maps all ActionIDs to Actions.
+* The fifth argument is the data passed in from the go-fuzz application.
+
+### Generating Initial go-fuzz Corpus
+
+Earlier we mentioned the bi-directional mapping between Actions and the byte stream driving the state machine.  We can now leverage this to build the inital go-fuzz corpus.
+
+Using the `ActinSeq`s we learned about earlier we can build up a list of them as:
+
+    var actionSeqs = []smat.ActionSeq{...}
+
+Then, we can write them out to disk using:
+
+```
+for i, actionSeq := range actionSeqs {
+  byteSequence, err := actionSeq.ByteEncoding(&context{}, setup, teardown, actionMap)
+  if err != nil {
+    // handle error
+  }
+  os.MkdirAll("workdir/corpus", 0700)
+  ioutil.WriteFile(fmt.Sprintf("workdir/corpus/%d", i), byteSequence, 0600)
+}
+```
+
+You can then either put this into a test case or a main application depending on your needs.
+
+## Longevity Testing
+
+Fuzzing is great, but most of your corpus is likely to be shorter meaningful sequences.  And go-fuzz works to find shortest sequences that cause problems, but sometimes you actually want to explore longer sequences that appear to go-fuzz as not triggering additional code coverage.
+
+For these cases we have another helper you can use:
+
+```
+  Longevity(ctx, setup, teardown, actionMap, 0, closeChan)
+```
+
+The first four arguments are the same, the last two are:
+* random seed used to ensure repeatable tests
+* closeChan (chan struct{}) - close this channel if you want the function to stop and return ErrClosed, otherwise it will run forever
+
+## Examples
+
+See the examples directory for a working example that tests some BoltDB functionality.

vendor/github.com/mschoch/smat/actionseq.go

@@ -0,0 +1,61 @@
+//  Copyright (c) 2016 Marty Schoch
+
+//  Licensed under the Apache License, Version 2.0 (the "License");
+//  you may not use this file except in compliance with the
+//  License. You may obtain a copy of the License at
+//    http://www.apache.org/licenses/LICENSE-2.0
+//  Unless required by applicable law or agreed to in writing,
+//  software distributed under the License is distributed on an "AS
+//  IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either
+//  express or implied. See the License for the specific language
+//  governing permissions and limitations under the License.
+
+package smat
+
+// ActionSeq represents a sequence of actions, used for populating a corpus
+// of byte sequences for the corresponding fuzz tests
+type ActionSeq []ActionID
+
+// ByteEncoding runs the FSM to produce a byte sequence to trigger the
+// desired action
+func (a ActionSeq) ByteEncoding(ctx Context, setup, teardown ActionID, actionMap ActionMap) ([]byte, error) {
+	setupFunc, teardownFunc, err := actionMap.findSetupTeardown(setup, teardown)
+	if err != nil {
+		return nil, err
+	}
+	state, err := setupFunc(ctx)
+	if err != nil {
+		return nil, err
+	}
+	defer func() {
+		_, _ = teardownFunc(ctx)
+	}()
+
+	var rv []byte
+	for _, actionID := range a {
+		b, err := probeStateForAction(state, actionID)
+		if err != nil {
+			return nil, err
+		}
+		rv = append(rv, b)
+		action, ok := actionMap[actionID]
+		if !ok {
+			continue
+		}
+		state, err = action(ctx)
+		if err != nil {
+			return nil, err
+		}
+	}
+	return rv, nil
+}
+
+func probeStateForAction(state State, actionID ActionID) (byte, error) {
+	for i := 0; i < 256; i++ {
+		nextActionID := state(byte(i))
+		if nextActionID == actionID {
+			return byte(i), nil
+		}
+	}
+	return 0, ErrActionNotPossible
+}

vendor/github.com/mschoch/smat/smat.go

@@ -0,0 +1,161 @@
+//  Copyright (c) 2016 Marty Schoch
+
+//  Licensed under the Apache License, Version 2.0 (the "License");
+//  you may not use this file except in compliance with the
+//  License. You may obtain a copy of the License at
+//    http://www.apache.org/licenses/LICENSE-2.0
+//  Unless required by applicable law or agreed to in writing,
+//  software distributed under the License is distributed on an "AS
+//  IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either
+//  express or implied. See the License for the specific language
+//  governing permissions and limitations under the License.
+
+package smat
+
+import (
+	"bufio"
+	"bytes"
+	"fmt"
+	"io"
+	"io/ioutil"
+	"log"
+	"math/rand"
+)
+
+// Logger is a configurable logger used by this package
+// by default output is discarded
+var Logger = log.New(ioutil.Discard, "smat ", log.LstdFlags)
+
+// Context is a container for any user state
+type Context interface{}
+
+// State is a function which describes which action to perform in the event
+// that a particular byte is seen
+type State func(next byte) ActionID
+
+// PercentAction describes the frequency with which an action should occur
+// for example: Action{Percent:10, Action:DonateMoney} means that 10% of
+// the time you should donate money.
+type PercentAction struct {
+	Percent int
+	Action  ActionID
+}
+
+// Action is any function which returns the next state to transition to
+// it can optionally mutate the provided context object
+// if any error occurs, it may return an error which will abort execution
+type Action func(Context) (State, error)
+
+// ActionID is a unique identifier for an action
+type ActionID int
+
+// NopAction does nothing and simply continues to the next input
+var NopAction ActionID = -1
+
+// ActionMap is a mapping form ActionID to Action
+type ActionMap map[ActionID]Action
+
+func (a ActionMap) findSetupTeardown(setup, teardown ActionID) (Action, Action, error) {
+	setupFunc, ok := a[setup]
+	if !ok {
+		return nil, nil, ErrSetupMissing
+	}
+	teardownFunc, ok := a[teardown]
+	if !ok {
+		return nil, nil, ErrTeardownMissing
+	}
+	return setupFunc, teardownFunc, nil
+}
+
+// Fuzz runs the fuzzing state machine with the provided context
+// first, the setup action is executed unconditionally
+// the start state is determined by this action
+// actionMap is a lookup table for all actions
+// the data byte slice determines all future state transitions
+// finally, the teardown action is executed unconditionally for cleanup
+func Fuzz(ctx Context, setup, teardown ActionID, actionMap ActionMap, data []byte) int {
+	reader := bytes.NewReader(data)
+	err := runReader(ctx, setup, teardown, actionMap, reader, nil)
+	if err != nil {
+		panic(err)
+	}
+	return 1
+}
+
+// Longevity runs the state machine with the provided context
+// first, the setup action is executed unconditionally
+// the start state is determined by this action
+// actionMap is a lookup table for all actions
+// random bytes are generated to determine all future state transitions
+// finally, the teardown action is executed unconditionally for cleanup
+func Longevity(ctx Context, setup, teardown ActionID, actionMap ActionMap, seed int64, closeChan chan struct{}) error {
+	source := rand.NewSource(seed)
+	return runReader(ctx, setup, teardown, actionMap, rand.New(source), closeChan)
+}
+
+var (
+	// ErrSetupMissing is returned when the setup action cannot be found
+	ErrSetupMissing = fmt.Errorf("setup action missing")
+	// ErrTeardownMissing is returned when the teardown action cannot be found
+	ErrTeardownMissing = fmt.Errorf("teardown action missing")
+	// ErrClosed is returned when the closeChan was closed to cancel the op
+	ErrClosed = fmt.Errorf("closed")
+	// ErrActionNotPossible is returned when an action is encountered in a
+	// FuzzCase that is not possible in the current state
+	ErrActionNotPossible = fmt.Errorf("action not possible in state")
+)
+
+func runReader(ctx Context, setup, teardown ActionID, actionMap ActionMap, r io.Reader, closeChan chan struct{}) error {
+	setupFunc, teardownFunc, err := actionMap.findSetupTeardown(setup, teardown)
+	if err != nil {
+		return err
+	}
+	Logger.Printf("invoking setup action")
+	state, err := setupFunc(ctx)
+	if err != nil {
+		return err
+	}
+	defer func() {
+		Logger.Printf("invoking teardown action")
+		_, _ = teardownFunc(ctx)
+	}()
+
+	reader := bufio.NewReader(r)
+	for next, err := reader.ReadByte(); err == nil; next, err = reader.ReadByte() {
+		select {
+		case <-closeChan:
+			return ErrClosed
+		default:
+			actionID := state(next)
+			action, ok := actionMap[actionID]
+			if !ok {
+				Logger.Printf("no such action defined, continuing")
+				continue
+			}
+			Logger.Printf("invoking action - %d", actionID)
+			state, err = action(ctx)
+			if err != nil {
+				Logger.Printf("it was action %d that returned err %v", actionID, err)
+				return err
+			}
+		}
+	}
+	return err
+}
+
+// PercentExecute interprets the next byte as a random value and normalizes it
+// to values 0-99, it then looks to see which action should be execued based
+// on the action distributions
+func PercentExecute(next byte, pas ...PercentAction) ActionID {
+	percent := int(99 * int(next) / 255)
+
+	sofar := 0
+	for _, pa := range pas {
+		sofar = sofar + pa.Percent
+		if percent < sofar {
+			return pa.Action
+		}
+
+	}
+	return NopAction
+}

vendor/modules.txt

@@ -132,6 +132,11 @@ github.com/GoogleCloudPlatform/opentelemetry-operations-go/exporter/metric
 # github.com/GoogleCloudPlatform/opentelemetry-operations-go/internal/resourcemapping v0.55.0
 ## explicit; go 1.24.0
 github.com/GoogleCloudPlatform/opentelemetry-operations-go/internal/resourcemapping
+# github.com/RoaringBitmap/roaring/v2 v2.14.4
+## explicit; go 1.24.0
+github.com/RoaringBitmap/roaring/v2
+github.com/RoaringBitmap/roaring/v2/internal
+github.com/RoaringBitmap/roaring/v2/roaring64
 # github.com/VictoriaMetrics/VictoriaLogs v0.0.0-20260218111324-95b48d57d032
 ## explicit; go 1.26.0
 github.com/VictoriaMetrics/VictoriaLogs/lib/logstorage
@@ -297,6 +302,9 @@ github.com/bboreham/go-loser
 # github.com/beorn7/perks v1.0.1
 ## explicit; go 1.11
 github.com/beorn7/perks/quantile
+# github.com/bits-and-blooms/bitset v1.24.2
+## explicit; go 1.16
+github.com/bits-and-blooms/bitset
 # github.com/bmatcuk/doublestar/v4 v4.10.0
 ## explicit; go 1.16
 github.com/bmatcuk/doublestar/v4
@@ -539,6 +547,9 @@ github.com/modern-go/concurrent
 # github.com/modern-go/reflect2 v1.0.3-0.20250322232337-35a7c28c31ee
 ## explicit; go 1.12
 github.com/modern-go/reflect2
+# github.com/mschoch/smat v0.2.0
+## explicit; go 1.13
+github.com/mschoch/smat
 # github.com/munnerz/goautoneg v0.0.0-20191010083416-a7dc8b61c822
 ## explicit
 github.com/munnerz/goautoneg