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-rw-r--r--pkg/abi/linux/linux_abi_autogen_unsafe.go8
-rw-r--r--pkg/sentry/pgalloc/pgalloc.go215
-rw-r--r--pkg/sentry/pgalloc/pgalloc_state_autogen.go55
-rw-r--r--pkg/sentry/pgalloc/reclaim_set.go1643
-rw-r--r--pkg/sentry/pgalloc/usage_set.go2
5 files changed, 1817 insertions, 106 deletions
diff --git a/pkg/abi/linux/linux_abi_autogen_unsafe.go b/pkg/abi/linux/linux_abi_autogen_unsafe.go
index 8518d61be..62090b192 100644
--- a/pkg/abi/linux/linux_abi_autogen_unsafe.go
+++ b/pkg/abi/linux/linux_abi_autogen_unsafe.go
@@ -124,12 +124,12 @@ func (s *Statx) UnmarshalBytes(src []byte) {
// Packed implements marshal.Marshallable.Packed.
//go:nosplit
func (s *Statx) Packed() bool {
- return s.Atime.Packed() && s.Btime.Packed() && s.Ctime.Packed() && s.Mtime.Packed()
+ return s.Btime.Packed() && s.Ctime.Packed() && s.Mtime.Packed() && s.Atime.Packed()
}
// MarshalUnsafe implements marshal.Marshallable.MarshalUnsafe.
func (s *Statx) MarshalUnsafe(dst []byte) {
- if s.Atime.Packed() && s.Btime.Packed() && s.Ctime.Packed() && s.Mtime.Packed() {
+ if s.Btime.Packed() && s.Ctime.Packed() && s.Mtime.Packed() && s.Atime.Packed() {
safecopy.CopyIn(dst, unsafe.Pointer(s))
} else {
s.MarshalBytes(dst)
@@ -148,7 +148,7 @@ func (s *Statx) UnmarshalUnsafe(src []byte) {
// CopyOutN implements marshal.Marshallable.CopyOutN.
//go:nosplit
func (s *Statx) CopyOutN(task marshal.Task, addr usermem.Addr, limit int) (int, error) {
- if !s.Mtime.Packed() && s.Atime.Packed() && s.Btime.Packed() && s.Ctime.Packed() {
+ if !s.Atime.Packed() && s.Btime.Packed() && s.Ctime.Packed() && s.Mtime.Packed() {
// Type Statx doesn't have a packed layout in memory, fall back to MarshalBytes.
buf := task.CopyScratchBuffer(s.SizeBytes()) // escapes: okay.
s.MarshalBytes(buf) // escapes: fallback.
@@ -204,7 +204,7 @@ func (s *Statx) CopyIn(task marshal.Task, addr usermem.Addr) (int, error) {
// WriteTo implements io.WriterTo.WriteTo.
func (s *Statx) WriteTo(w io.Writer) (int64, error) {
- if !s.Ctime.Packed() && s.Mtime.Packed() && s.Atime.Packed() && s.Btime.Packed() {
+ if !s.Atime.Packed() && s.Btime.Packed() && s.Ctime.Packed() && s.Mtime.Packed() {
// Type Statx doesn't have a packed layout in memory, fall back to MarshalBytes.
buf := make([]byte, s.SizeBytes())
s.MarshalBytes(buf)
diff --git a/pkg/sentry/pgalloc/pgalloc.go b/pkg/sentry/pgalloc/pgalloc.go
index 2b11ea4ae..c8d9facc2 100644
--- a/pkg/sentry/pgalloc/pgalloc.go
+++ b/pkg/sentry/pgalloc/pgalloc.go
@@ -108,12 +108,6 @@ type MemoryFile struct {
usageSwapped uint64
usageLast time.Time
- // minUnallocatedPage is the minimum page that may be unallocated.
- // i.e., there are no unallocated pages below minUnallocatedPage.
- //
- // minUnallocatedPage is protected by mu.
- minUnallocatedPage uint64
-
// fileSize is the size of the backing memory file in bytes. fileSize is
// always a power-of-two multiple of chunkSize.
//
@@ -146,11 +140,9 @@ type MemoryFile struct {
// is protected by mu.
reclaimable bool
- // minReclaimablePage is the minimum page that may be reclaimable.
- // i.e., all reclaimable pages are >= minReclaimablePage.
- //
- // minReclaimablePage is protected by mu.
- minReclaimablePage uint64
+ // relcaim is the collection of regions for reclaim. relcaim is protected
+ // by mu.
+ reclaim reclaimSet
// reclaimCond is signaled (with mu locked) when reclaimable or destroyed
// transitions from false to true.
@@ -273,12 +265,10 @@ type evictableMemoryUserInfo struct {
}
const (
- chunkShift = 24
- chunkSize = 1 << chunkShift // 16 MB
+ chunkShift = 30
+ chunkSize = 1 << chunkShift // 1 GB
chunkMask = chunkSize - 1
- initialSize = chunkSize
-
// maxPage is the highest 64-bit page.
maxPage = math.MaxUint64 &^ (usermem.PageSize - 1)
)
@@ -302,19 +292,12 @@ func NewMemoryFile(file *os.File, opts MemoryFileOpts) (*MemoryFile, error) {
if err := file.Truncate(0); err != nil {
return nil, err
}
- if err := file.Truncate(initialSize); err != nil {
- return nil, err
- }
f := &MemoryFile{
- opts: opts,
- fileSize: initialSize,
- file: file,
- // No pages are reclaimable. DecRef will always be able to
- // decrease minReclaimablePage from this point.
- minReclaimablePage: maxPage,
- evictable: make(map[EvictableMemoryUser]*evictableMemoryUserInfo),
+ opts: opts,
+ file: file,
+ evictable: make(map[EvictableMemoryUser]*evictableMemoryUserInfo),
}
- f.mappings.Store(make([]uintptr, initialSize/chunkSize))
+ f.mappings.Store(make([]uintptr, 0))
f.reclaimCond.L = &f.mu
if f.opts.DelayedEviction == DelayedEvictionEnabled && f.opts.UseHostMemcgPressure {
@@ -404,39 +387,28 @@ func (f *MemoryFile) Allocate(length uint64, kind usage.MemoryKind) (platform.Fi
alignment = usermem.HugePageSize
}
- start, minUnallocatedPage := findUnallocatedRange(&f.usage, f.minUnallocatedPage, length, alignment)
- end := start + length
- // File offsets are int64s. Since length must be strictly positive, end
- // cannot legitimately be 0.
- if end < start || int64(end) <= 0 {
+ // Find a range in the underlying file.
+ fr, ok := findAvailableRange(&f.usage, f.fileSize, length, alignment)
+ if !ok {
return platform.FileRange{}, syserror.ENOMEM
}
- // Expand the file if needed. Double the file size on each expansion;
- // uncommitted pages have effectively no cost.
- fileSize := f.fileSize
- for int64(end) > fileSize {
- if fileSize >= 2*fileSize {
- // fileSize overflow.
- return platform.FileRange{}, syserror.ENOMEM
- }
- fileSize *= 2
- }
- if fileSize > f.fileSize {
- if err := f.file.Truncate(fileSize); err != nil {
+ // Expand the file if needed. Note that findAvailableRange will
+ // appropriately double the fileSize when required.
+ if int64(fr.End) > f.fileSize {
+ if err := f.file.Truncate(int64(fr.End)); err != nil {
return platform.FileRange{}, err
}
- f.fileSize = fileSize
+ f.fileSize = int64(fr.End)
f.mappingsMu.Lock()
oldMappings := f.mappings.Load().([]uintptr)
- newMappings := make([]uintptr, fileSize>>chunkShift)
+ newMappings := make([]uintptr, f.fileSize>>chunkShift)
copy(newMappings, oldMappings)
f.mappings.Store(newMappings)
f.mappingsMu.Unlock()
}
// Mark selected pages as in use.
- fr := platform.FileRange{start, end}
if f.opts.ManualZeroing {
if err := f.forEachMappingSlice(fr, func(bs []byte) {
for i := range bs {
@@ -453,49 +425,71 @@ func (f *MemoryFile) Allocate(length uint64, kind usage.MemoryKind) (platform.Fi
panic(fmt.Sprintf("allocating %v: failed to insert into usage set:\n%v", fr, &f.usage))
}
- if minUnallocatedPage < start {
- f.minUnallocatedPage = minUnallocatedPage
- } else {
- // start was the first unallocated page. The next must be
- // somewhere beyond end.
- f.minUnallocatedPage = end
- }
-
return fr, nil
}
-// findUnallocatedRange returns the first unallocated page in usage of the
-// specified length and alignment beginning at page start and the first single
-// unallocated page.
-func findUnallocatedRange(usage *usageSet, start, length, alignment uint64) (uint64, uint64) {
- // Only searched until the first page is found.
- firstPage := start
- foundFirstPage := false
- alignMask := alignment - 1
- for seg := usage.LowerBoundSegment(start); seg.Ok(); seg = seg.NextSegment() {
- r := seg.Range()
+// findAvailableRange returns an available range in the usageSet.
+//
+// Note that scanning for available slots takes place from end first backwards,
+// then forwards. This heuristic has important consequence for how sequential
+// mappings can be merged in the host VMAs, given that addresses for both
+// application and sentry mappings are allocated top-down (from higher to
+// lower addresses). The file is also grown expoentially in order to create
+// space for mappings to be allocated downwards.
+//
+// Precondition: alignment must be a power of 2.
+func findAvailableRange(usage *usageSet, fileSize int64, length, alignment uint64) (platform.FileRange, bool) {
+ alignmentMask := alignment - 1
+ for gap := usage.UpperBoundGap(uint64(fileSize)); gap.Ok(); gap = gap.PrevLargeEnoughGap(length) {
+ // Start searching only at end of file.
+ end := gap.End()
+ if end > uint64(fileSize) {
+ end = uint64(fileSize)
+ }
- if !foundFirstPage && r.Start > firstPage {
- foundFirstPage = true
+ // Start at the top and align downwards.
+ start := end - length
+ if start > end {
+ break // Underflow.
}
+ start &^= alignmentMask
- if start >= r.End {
- // start was rounded up to an alignment boundary from the end
- // of a previous segment and is now beyond r.End.
+ // Is the gap still sufficient?
+ if start < gap.Start() {
continue
}
- // This segment represents allocated or reclaimable pages; only the
- // range from start to the segment's beginning is allocatable, and the
- // next allocatable range begins after the segment.
- if r.Start > start && r.Start-start >= length {
- break
+
+ // Allocate in the given gap.
+ return platform.FileRange{start, start + length}, true
+ }
+
+ // Check that it's possible to fit this allocation at the end of a file of any size.
+ min := usage.LastGap().Start()
+ min = (min + alignmentMask) &^ alignmentMask
+ if min+length < min {
+ // Overflow.
+ return platform.FileRange{}, false
+ }
+
+ // Determine the minimum file size required to fit this allocation at its end.
+ for {
+ if fileSize >= 2*fileSize {
+ // Is this because it's initially empty?
+ if fileSize == 0 {
+ fileSize += chunkSize
+ } else {
+ // fileSize overflow.
+ return platform.FileRange{}, false
+ }
+ } else {
+ // Double the current fileSize.
+ fileSize *= 2
}
- start = (r.End + alignMask) &^ alignMask
- if !foundFirstPage {
- firstPage = r.End
+ start := (uint64(fileSize) - length) &^ alignmentMask
+ if start >= min {
+ return platform.FileRange{start, start + length}, true
}
}
- return start, firstPage
}
// AllocateAndFill allocates memory of the given kind and fills it by calling
@@ -616,6 +610,7 @@ func (f *MemoryFile) DecRef(fr platform.FileRange) {
}
val.refs--
if val.refs == 0 {
+ f.reclaim.Add(seg.Range(), reclaimSetValue{})
freed = true
// Reclassify memory as System, until it's freed by the reclaim
// goroutine.
@@ -628,10 +623,6 @@ func (f *MemoryFile) DecRef(fr platform.FileRange) {
f.usage.MergeAdjacent(fr)
if freed {
- if fr.Start < f.minReclaimablePage {
- // We've freed at least one lower page.
- f.minReclaimablePage = fr.Start
- }
f.reclaimable = true
f.reclaimCond.Signal()
}
@@ -1030,6 +1021,7 @@ func (f *MemoryFile) String() string {
// for allocation.
func (f *MemoryFile) runReclaim() {
for {
+ // N.B. We must call f.markReclaimed on the returned FrameRange.
fr, ok := f.findReclaimable()
if !ok {
break
@@ -1085,6 +1077,10 @@ func (f *MemoryFile) runReclaim() {
}
}
+// findReclaimable finds memory that has been marked for reclaim.
+//
+// Note that there returned range will be removed from tracking. It
+// must be reclaimed (removed from f.usage) at this point.
func (f *MemoryFile) findReclaimable() (platform.FileRange, bool) {
f.mu.Lock()
defer f.mu.Unlock()
@@ -1103,18 +1099,15 @@ func (f *MemoryFile) findReclaimable() (platform.FileRange, bool) {
}
f.reclaimCond.Wait()
}
- // Allocate returns the first usable range in offset order and is
- // currently a linear scan, so reclaiming from the beginning of the
- // file minimizes the expected latency of Allocate.
- for seg := f.usage.LowerBoundSegment(f.minReclaimablePage); seg.Ok(); seg = seg.NextSegment() {
- if seg.ValuePtr().refs == 0 {
- f.minReclaimablePage = seg.End()
- return seg.Range(), true
- }
+ // Allocate works from the back of the file inwards, so reclaim
+ // preserves this order to minimize the cost of the search.
+ if seg := f.reclaim.LastSegment(); seg.Ok() {
+ fr := seg.Range()
+ f.reclaim.Remove(seg)
+ return fr, true
}
- // No pages are reclaimable.
+ // Nothing is reclaimable.
f.reclaimable = false
- f.minReclaimablePage = maxPage
}
}
@@ -1122,8 +1115,8 @@ func (f *MemoryFile) markReclaimed(fr platform.FileRange) {
f.mu.Lock()
defer f.mu.Unlock()
seg := f.usage.FindSegment(fr.Start)
- // All of fr should be mapped to a single uncommitted reclaimable segment
- // accounted to System.
+ // All of fr should be mapped to a single uncommitted reclaimable
+ // segment accounted to System.
if !seg.Ok() {
panic(fmt.Sprintf("reclaimed pages %v include unreferenced pages:\n%v", fr, &f.usage))
}
@@ -1137,14 +1130,10 @@ func (f *MemoryFile) markReclaimed(fr platform.FileRange) {
}); got != want {
panic(fmt.Sprintf("reclaimed pages %v in segment %v has incorrect state %v, wanted %v:\n%v", fr, seg.Range(), got, want, &f.usage))
}
- // Deallocate reclaimed pages. Even though all of seg is reclaimable, the
- // caller of markReclaimed may not have decommitted it, so we can only mark
- // fr as reclaimed.
+ // Deallocate reclaimed pages. Even though all of seg is reclaimable,
+ // the caller of markReclaimed may not have decommitted it, so we can
+ // only mark fr as reclaimed.
f.usage.Remove(f.usage.Isolate(seg, fr))
- if fr.Start < f.minUnallocatedPage {
- // We've deallocated at least one lower page.
- f.minUnallocatedPage = fr.Start
- }
}
// StartEvictions requests that f evict all evictable allocations. It does not
@@ -1255,3 +1244,27 @@ func (evictableRangeSetFunctions) Merge(_ EvictableRange, _ evictableRangeSetVal
func (evictableRangeSetFunctions) Split(_ EvictableRange, _ evictableRangeSetValue, _ uint64) (evictableRangeSetValue, evictableRangeSetValue) {
return evictableRangeSetValue{}, evictableRangeSetValue{}
}
+
+// reclaimSetValue is the value type of reclaimSet.
+type reclaimSetValue struct{}
+
+type reclaimSetFunctions struct{}
+
+func (reclaimSetFunctions) MinKey() uint64 {
+ return 0
+}
+
+func (reclaimSetFunctions) MaxKey() uint64 {
+ return math.MaxUint64
+}
+
+func (reclaimSetFunctions) ClearValue(val *reclaimSetValue) {
+}
+
+func (reclaimSetFunctions) Merge(_ platform.FileRange, _ reclaimSetValue, _ platform.FileRange, _ reclaimSetValue) (reclaimSetValue, bool) {
+ return reclaimSetValue{}, true
+}
+
+func (reclaimSetFunctions) Split(_ platform.FileRange, _ reclaimSetValue, _ uint64) (reclaimSetValue, reclaimSetValue) {
+ return reclaimSetValue{}, reclaimSetValue{}
+}
diff --git a/pkg/sentry/pgalloc/pgalloc_state_autogen.go b/pkg/sentry/pgalloc/pgalloc_state_autogen.go
index 469630448..e9f37b729 100644
--- a/pkg/sentry/pgalloc/pgalloc_state_autogen.go
+++ b/pkg/sentry/pgalloc/pgalloc_state_autogen.go
@@ -86,6 +86,58 @@ func (x *usageInfo) load(m state.Map) {
m.Load("refs", &x.refs)
}
+func (x *reclaimSet) beforeSave() {}
+func (x *reclaimSet) save(m state.Map) {
+ x.beforeSave()
+ var root *reclaimSegmentDataSlices = x.saveRoot()
+ m.SaveValue("root", root)
+}
+
+func (x *reclaimSet) afterLoad() {}
+func (x *reclaimSet) load(m state.Map) {
+ m.LoadValue("root", new(*reclaimSegmentDataSlices), func(y interface{}) { x.loadRoot(y.(*reclaimSegmentDataSlices)) })
+}
+
+func (x *reclaimnode) beforeSave() {}
+func (x *reclaimnode) save(m state.Map) {
+ x.beforeSave()
+ m.Save("nrSegments", &x.nrSegments)
+ m.Save("parent", &x.parent)
+ m.Save("parentIndex", &x.parentIndex)
+ m.Save("hasChildren", &x.hasChildren)
+ m.Save("maxGap", &x.maxGap)
+ m.Save("keys", &x.keys)
+ m.Save("values", &x.values)
+ m.Save("children", &x.children)
+}
+
+func (x *reclaimnode) afterLoad() {}
+func (x *reclaimnode) load(m state.Map) {
+ m.Load("nrSegments", &x.nrSegments)
+ m.Load("parent", &x.parent)
+ m.Load("parentIndex", &x.parentIndex)
+ m.Load("hasChildren", &x.hasChildren)
+ m.Load("maxGap", &x.maxGap)
+ m.Load("keys", &x.keys)
+ m.Load("values", &x.values)
+ m.Load("children", &x.children)
+}
+
+func (x *reclaimSegmentDataSlices) beforeSave() {}
+func (x *reclaimSegmentDataSlices) save(m state.Map) {
+ x.beforeSave()
+ m.Save("Start", &x.Start)
+ m.Save("End", &x.End)
+ m.Save("Values", &x.Values)
+}
+
+func (x *reclaimSegmentDataSlices) afterLoad() {}
+func (x *reclaimSegmentDataSlices) load(m state.Map) {
+ m.Load("Start", &x.Start)
+ m.Load("End", &x.End)
+ m.Load("Values", &x.Values)
+}
+
func (x *usageSet) beforeSave() {}
func (x *usageSet) save(m state.Map) {
x.beforeSave()
@@ -144,6 +196,9 @@ func init() {
state.Register("pkg/sentry/pgalloc.evictableRangenode", (*evictableRangenode)(nil), state.Fns{Save: (*evictableRangenode).save, Load: (*evictableRangenode).load})
state.Register("pkg/sentry/pgalloc.evictableRangeSegmentDataSlices", (*evictableRangeSegmentDataSlices)(nil), state.Fns{Save: (*evictableRangeSegmentDataSlices).save, Load: (*evictableRangeSegmentDataSlices).load})
state.Register("pkg/sentry/pgalloc.usageInfo", (*usageInfo)(nil), state.Fns{Save: (*usageInfo).save, Load: (*usageInfo).load})
+ state.Register("pkg/sentry/pgalloc.reclaimSet", (*reclaimSet)(nil), state.Fns{Save: (*reclaimSet).save, Load: (*reclaimSet).load})
+ state.Register("pkg/sentry/pgalloc.reclaimnode", (*reclaimnode)(nil), state.Fns{Save: (*reclaimnode).save, Load: (*reclaimnode).load})
+ state.Register("pkg/sentry/pgalloc.reclaimSegmentDataSlices", (*reclaimSegmentDataSlices)(nil), state.Fns{Save: (*reclaimSegmentDataSlices).save, Load: (*reclaimSegmentDataSlices).load})
state.Register("pkg/sentry/pgalloc.usageSet", (*usageSet)(nil), state.Fns{Save: (*usageSet).save, Load: (*usageSet).load})
state.Register("pkg/sentry/pgalloc.usagenode", (*usagenode)(nil), state.Fns{Save: (*usagenode).save, Load: (*usagenode).load})
state.Register("pkg/sentry/pgalloc.usageSegmentDataSlices", (*usageSegmentDataSlices)(nil), state.Fns{Save: (*usageSegmentDataSlices).save, Load: (*usageSegmentDataSlices).load})
diff --git a/pkg/sentry/pgalloc/reclaim_set.go b/pkg/sentry/pgalloc/reclaim_set.go
new file mode 100644
index 000000000..a1805ed27
--- /dev/null
+++ b/pkg/sentry/pgalloc/reclaim_set.go
@@ -0,0 +1,1643 @@
+package pgalloc
+
+import (
+ __generics_imported0 "gvisor.dev/gvisor/pkg/sentry/platform"
+)
+
+import (
+ "bytes"
+ "fmt"
+)
+
+// trackGaps is an optional parameter.
+//
+// If trackGaps is 1, the Set will track maximum gap size recursively,
+// enabling the GapIterator.{Prev,Next}LargeEnoughGap functions. In this
+// case, Key must be an unsigned integer.
+//
+// trackGaps must be 0 or 1.
+const reclaimtrackGaps = 0
+
+var _ = uint8(reclaimtrackGaps << 7) // Will fail if not zero or one.
+
+// dynamicGap is a type that disappears if trackGaps is 0.
+type reclaimdynamicGap [reclaimtrackGaps]uint64
+
+// Get returns the value of the gap.
+//
+// Precondition: trackGaps must be non-zero.
+func (d *reclaimdynamicGap) Get() uint64 {
+ return d[:][0]
+}
+
+// Set sets the value of the gap.
+//
+// Precondition: trackGaps must be non-zero.
+func (d *reclaimdynamicGap) Set(v uint64) {
+ d[:][0] = v
+}
+
+const (
+ // minDegree is the minimum degree of an internal node in a Set B-tree.
+ //
+ // - Any non-root node has at least minDegree-1 segments.
+ //
+ // - Any non-root internal (non-leaf) node has at least minDegree children.
+ //
+ // - The root node may have fewer than minDegree-1 segments, but it may
+ // only have 0 segments if the tree is empty.
+ //
+ // Our implementation requires minDegree >= 3. Higher values of minDegree
+ // usually improve performance, but increase memory usage for small sets.
+ reclaimminDegree = 10
+
+ reclaimmaxDegree = 2 * reclaimminDegree
+)
+
+// A Set is a mapping of segments with non-overlapping Range keys. The zero
+// value for a Set is an empty set. Set values are not safely movable nor
+// copyable. Set is thread-compatible.
+//
+// +stateify savable
+type reclaimSet struct {
+ root reclaimnode `state:".(*reclaimSegmentDataSlices)"`
+}
+
+// IsEmpty returns true if the set contains no segments.
+func (s *reclaimSet) IsEmpty() bool {
+ return s.root.nrSegments == 0
+}
+
+// IsEmptyRange returns true iff no segments in the set overlap the given
+// range. This is semantically equivalent to s.SpanRange(r) == 0, but may be
+// more efficient.
+func (s *reclaimSet) IsEmptyRange(r __generics_imported0.FileRange) bool {
+ switch {
+ case r.Length() < 0:
+ panic(fmt.Sprintf("invalid range %v", r))
+ case r.Length() == 0:
+ return true
+ }
+ _, gap := s.Find(r.Start)
+ if !gap.Ok() {
+ return false
+ }
+ return r.End <= gap.End()
+}
+
+// Span returns the total size of all segments in the set.
+func (s *reclaimSet) Span() uint64 {
+ var sz uint64
+ for seg := s.FirstSegment(); seg.Ok(); seg = seg.NextSegment() {
+ sz += seg.Range().Length()
+ }
+ return sz
+}
+
+// SpanRange returns the total size of the intersection of segments in the set
+// with the given range.
+func (s *reclaimSet) SpanRange(r __generics_imported0.FileRange) uint64 {
+ switch {
+ case r.Length() < 0:
+ panic(fmt.Sprintf("invalid range %v", r))
+ case r.Length() == 0:
+ return 0
+ }
+ var sz uint64
+ for seg := s.LowerBoundSegment(r.Start); seg.Ok() && seg.Start() < r.End; seg = seg.NextSegment() {
+ sz += seg.Range().Intersect(r).Length()
+ }
+ return sz
+}
+
+// FirstSegment returns the first segment in the set. If the set is empty,
+// FirstSegment returns a terminal iterator.
+func (s *reclaimSet) FirstSegment() reclaimIterator {
+ if s.root.nrSegments == 0 {
+ return reclaimIterator{}
+ }
+ return s.root.firstSegment()
+}
+
+// LastSegment returns the last segment in the set. If the set is empty,
+// LastSegment returns a terminal iterator.
+func (s *reclaimSet) LastSegment() reclaimIterator {
+ if s.root.nrSegments == 0 {
+ return reclaimIterator{}
+ }
+ return s.root.lastSegment()
+}
+
+// FirstGap returns the first gap in the set.
+func (s *reclaimSet) FirstGap() reclaimGapIterator {
+ n := &s.root
+ for n.hasChildren {
+ n = n.children[0]
+ }
+ return reclaimGapIterator{n, 0}
+}
+
+// LastGap returns the last gap in the set.
+func (s *reclaimSet) LastGap() reclaimGapIterator {
+ n := &s.root
+ for n.hasChildren {
+ n = n.children[n.nrSegments]
+ }
+ return reclaimGapIterator{n, n.nrSegments}
+}
+
+// Find returns the segment or gap whose range contains the given key. If a
+// segment is found, the returned Iterator is non-terminal and the
+// returned GapIterator is terminal. Otherwise, the returned Iterator is
+// terminal and the returned GapIterator is non-terminal.
+func (s *reclaimSet) Find(key uint64) (reclaimIterator, reclaimGapIterator) {
+ n := &s.root
+ for {
+
+ lower := 0
+ upper := n.nrSegments
+ for lower < upper {
+ i := lower + (upper-lower)/2
+ if r := n.keys[i]; key < r.End {
+ if key >= r.Start {
+ return reclaimIterator{n, i}, reclaimGapIterator{}
+ }
+ upper = i
+ } else {
+ lower = i + 1
+ }
+ }
+ i := lower
+ if !n.hasChildren {
+ return reclaimIterator{}, reclaimGapIterator{n, i}
+ }
+ n = n.children[i]
+ }
+}
+
+// FindSegment returns the segment whose range contains the given key. If no
+// such segment exists, FindSegment returns a terminal iterator.
+func (s *reclaimSet) FindSegment(key uint64) reclaimIterator {
+ seg, _ := s.Find(key)
+ return seg
+}
+
+// LowerBoundSegment returns the segment with the lowest range that contains a
+// key greater than or equal to min. If no such segment exists,
+// LowerBoundSegment returns a terminal iterator.
+func (s *reclaimSet) LowerBoundSegment(min uint64) reclaimIterator {
+ seg, gap := s.Find(min)
+ if seg.Ok() {
+ return seg
+ }
+ return gap.NextSegment()
+}
+
+// UpperBoundSegment returns the segment with the highest range that contains a
+// key less than or equal to max. If no such segment exists, UpperBoundSegment
+// returns a terminal iterator.
+func (s *reclaimSet) UpperBoundSegment(max uint64) reclaimIterator {
+ seg, gap := s.Find(max)
+ if seg.Ok() {
+ return seg
+ }
+ return gap.PrevSegment()
+}
+
+// FindGap returns the gap containing the given key. If no such gap exists
+// (i.e. the set contains a segment containing that key), FindGap returns a
+// terminal iterator.
+func (s *reclaimSet) FindGap(key uint64) reclaimGapIterator {
+ _, gap := s.Find(key)
+ return gap
+}
+
+// LowerBoundGap returns the gap with the lowest range that is greater than or
+// equal to min.
+func (s *reclaimSet) LowerBoundGap(min uint64) reclaimGapIterator {
+ seg, gap := s.Find(min)
+ if gap.Ok() {
+ return gap
+ }
+ return seg.NextGap()
+}
+
+// UpperBoundGap returns the gap with the highest range that is less than or
+// equal to max.
+func (s *reclaimSet) UpperBoundGap(max uint64) reclaimGapIterator {
+ seg, gap := s.Find(max)
+ if gap.Ok() {
+ return gap
+ }
+ return seg.PrevGap()
+}
+
+// Add inserts the given segment into the set and returns true. If the new
+// segment can be merged with adjacent segments, Add will do so. If the new
+// segment would overlap an existing segment, Add returns false. If Add
+// succeeds, all existing iterators are invalidated.
+func (s *reclaimSet) Add(r __generics_imported0.FileRange, val reclaimSetValue) bool {
+ if r.Length() <= 0 {
+ panic(fmt.Sprintf("invalid segment range %v", r))
+ }
+ gap := s.FindGap(r.Start)
+ if !gap.Ok() {
+ return false
+ }
+ if r.End > gap.End() {
+ return false
+ }
+ s.Insert(gap, r, val)
+ return true
+}
+
+// AddWithoutMerging inserts the given segment into the set and returns true.
+// If it would overlap an existing segment, AddWithoutMerging does nothing and
+// returns false. If AddWithoutMerging succeeds, all existing iterators are
+// invalidated.
+func (s *reclaimSet) AddWithoutMerging(r __generics_imported0.FileRange, val reclaimSetValue) bool {
+ if r.Length() <= 0 {
+ panic(fmt.Sprintf("invalid segment range %v", r))
+ }
+ gap := s.FindGap(r.Start)
+ if !gap.Ok() {
+ return false
+ }
+ if r.End > gap.End() {
+ return false
+ }
+ s.InsertWithoutMergingUnchecked(gap, r, val)
+ return true
+}
+
+// Insert inserts the given segment into the given gap. If the new segment can
+// be merged with adjacent segments, Insert will do so. Insert returns an
+// iterator to the segment containing the inserted value (which may have been
+// merged with other values). All existing iterators (including gap, but not
+// including the returned iterator) are invalidated.
+//
+// If the gap cannot accommodate the segment, or if r is invalid, Insert panics.
+//
+// Insert is semantically equivalent to a InsertWithoutMerging followed by a
+// Merge, but may be more efficient. Note that there is no unchecked variant of
+// Insert since Insert must retrieve and inspect gap's predecessor and
+// successor segments regardless.
+func (s *reclaimSet) Insert(gap reclaimGapIterator, r __generics_imported0.FileRange, val reclaimSetValue) reclaimIterator {
+ if r.Length() <= 0 {
+ panic(fmt.Sprintf("invalid segment range %v", r))
+ }
+ prev, next := gap.PrevSegment(), gap.NextSegment()
+ if prev.Ok() && prev.End() > r.Start {
+ panic(fmt.Sprintf("new segment %v overlaps predecessor %v", r, prev.Range()))
+ }
+ if next.Ok() && next.Start() < r.End {
+ panic(fmt.Sprintf("new segment %v overlaps successor %v", r, next.Range()))
+ }
+ if prev.Ok() && prev.End() == r.Start {
+ if mval, ok := (reclaimSetFunctions{}).Merge(prev.Range(), prev.Value(), r, val); ok {
+ shrinkMaxGap := reclaimtrackGaps != 0 && gap.Range().Length() == gap.node.maxGap.Get()
+ prev.SetEndUnchecked(r.End)
+ prev.SetValue(mval)
+ if shrinkMaxGap {
+ gap.node.updateMaxGapLeaf()
+ }
+ if next.Ok() && next.Start() == r.End {
+ val = mval
+ if mval, ok := (reclaimSetFunctions{}).Merge(prev.Range(), val, next.Range(), next.Value()); ok {
+ prev.SetEndUnchecked(next.End())
+ prev.SetValue(mval)
+ return s.Remove(next).PrevSegment()
+ }
+ }
+ return prev
+ }
+ }
+ if next.Ok() && next.Start() == r.End {
+ if mval, ok := (reclaimSetFunctions{}).Merge(r, val, next.Range(), next.Value()); ok {
+ shrinkMaxGap := reclaimtrackGaps != 0 && gap.Range().Length() == gap.node.maxGap.Get()
+ next.SetStartUnchecked(r.Start)
+ next.SetValue(mval)
+ if shrinkMaxGap {
+ gap.node.updateMaxGapLeaf()
+ }
+ return next
+ }
+ }
+
+ return s.InsertWithoutMergingUnchecked(gap, r, val)
+}
+
+// InsertWithoutMerging inserts the given segment into the given gap and
+// returns an iterator to the inserted segment. All existing iterators
+// (including gap, but not including the returned iterator) are invalidated.
+//
+// If the gap cannot accommodate the segment, or if r is invalid,
+// InsertWithoutMerging panics.
+func (s *reclaimSet) InsertWithoutMerging(gap reclaimGapIterator, r __generics_imported0.FileRange, val reclaimSetValue) reclaimIterator {
+ if r.Length() <= 0 {
+ panic(fmt.Sprintf("invalid segment range %v", r))
+ }
+ if gr := gap.Range(); !gr.IsSupersetOf(r) {
+ panic(fmt.Sprintf("cannot insert segment range %v into gap range %v", r, gr))
+ }
+ return s.InsertWithoutMergingUnchecked(gap, r, val)
+}
+
+// InsertWithoutMergingUnchecked inserts the given segment into the given gap
+// and returns an iterator to the inserted segment. All existing iterators
+// (including gap, but not including the returned iterator) are invalidated.
+//
+// Preconditions: r.Start >= gap.Start(); r.End <= gap.End().
+func (s *reclaimSet) InsertWithoutMergingUnchecked(gap reclaimGapIterator, r __generics_imported0.FileRange, val reclaimSetValue) reclaimIterator {
+ gap = gap.node.rebalanceBeforeInsert(gap)
+ splitMaxGap := reclaimtrackGaps != 0 && (gap.node.nrSegments == 0 || gap.Range().Length() == gap.node.maxGap.Get())
+ copy(gap.node.keys[gap.index+1:], gap.node.keys[gap.index:gap.node.nrSegments])
+ copy(gap.node.values[gap.index+1:], gap.node.values[gap.index:gap.node.nrSegments])
+ gap.node.keys[gap.index] = r
+ gap.node.values[gap.index] = val
+ gap.node.nrSegments++
+ if splitMaxGap {
+ gap.node.updateMaxGapLeaf()
+ }
+ return reclaimIterator{gap.node, gap.index}
+}
+
+// Remove removes the given segment and returns an iterator to the vacated gap.
+// All existing iterators (including seg, but not including the returned
+// iterator) are invalidated.
+func (s *reclaimSet) Remove(seg reclaimIterator) reclaimGapIterator {
+
+ if seg.node.hasChildren {
+
+ victim := seg.PrevSegment()
+
+ seg.SetRangeUnchecked(victim.Range())
+ seg.SetValue(victim.Value())
+
+ nextAdjacentNode := seg.NextSegment().node
+ if reclaimtrackGaps != 0 {
+ nextAdjacentNode.updateMaxGapLeaf()
+ }
+ return s.Remove(victim).NextGap()
+ }
+ copy(seg.node.keys[seg.index:], seg.node.keys[seg.index+1:seg.node.nrSegments])
+ copy(seg.node.values[seg.index:], seg.node.values[seg.index+1:seg.node.nrSegments])
+ reclaimSetFunctions{}.ClearValue(&seg.node.values[seg.node.nrSegments-1])
+ seg.node.nrSegments--
+ if reclaimtrackGaps != 0 {
+ seg.node.updateMaxGapLeaf()
+ }
+ return seg.node.rebalanceAfterRemove(reclaimGapIterator{seg.node, seg.index})
+}
+
+// RemoveAll removes all segments from the set. All existing iterators are
+// invalidated.
+func (s *reclaimSet) RemoveAll() {
+ s.root = reclaimnode{}
+}
+
+// RemoveRange removes all segments in the given range. An iterator to the
+// newly formed gap is returned, and all existing iterators are invalidated.
+func (s *reclaimSet) RemoveRange(r __generics_imported0.FileRange) reclaimGapIterator {
+ seg, gap := s.Find(r.Start)
+ if seg.Ok() {
+ seg = s.Isolate(seg, r)
+ gap = s.Remove(seg)
+ }
+ for seg = gap.NextSegment(); seg.Ok() && seg.Start() < r.End; seg = gap.NextSegment() {
+ seg = s.Isolate(seg, r)
+ gap = s.Remove(seg)
+ }
+ return gap
+}
+
+// Merge attempts to merge two neighboring segments. If successful, Merge
+// returns an iterator to the merged segment, and all existing iterators are
+// invalidated. Otherwise, Merge returns a terminal iterator.
+//
+// If first is not the predecessor of second, Merge panics.
+func (s *reclaimSet) Merge(first, second reclaimIterator) reclaimIterator {
+ if first.NextSegment() != second {
+ panic(fmt.Sprintf("attempt to merge non-neighboring segments %v, %v", first.Range(), second.Range()))
+ }
+ return s.MergeUnchecked(first, second)
+}
+
+// MergeUnchecked attempts to merge two neighboring segments. If successful,
+// MergeUnchecked returns an iterator to the merged segment, and all existing
+// iterators are invalidated. Otherwise, MergeUnchecked returns a terminal
+// iterator.
+//
+// Precondition: first is the predecessor of second: first.NextSegment() ==
+// second, first == second.PrevSegment().
+func (s *reclaimSet) MergeUnchecked(first, second reclaimIterator) reclaimIterator {
+ if first.End() == second.Start() {
+ if mval, ok := (reclaimSetFunctions{}).Merge(first.Range(), first.Value(), second.Range(), second.Value()); ok {
+
+ first.SetEndUnchecked(second.End())
+ first.SetValue(mval)
+
+ return s.Remove(second).PrevSegment()
+ }
+ }
+ return reclaimIterator{}
+}
+
+// MergeAll attempts to merge all adjacent segments in the set. All existing
+// iterators are invalidated.
+func (s *reclaimSet) MergeAll() {
+ seg := s.FirstSegment()
+ if !seg.Ok() {
+ return
+ }
+ next := seg.NextSegment()
+ for next.Ok() {
+ if mseg := s.MergeUnchecked(seg, next); mseg.Ok() {
+ seg, next = mseg, mseg.NextSegment()
+ } else {
+ seg, next = next, next.NextSegment()
+ }
+ }
+}
+
+// MergeRange attempts to merge all adjacent segments that contain a key in the
+// specific range. All existing iterators are invalidated.
+func (s *reclaimSet) MergeRange(r __generics_imported0.FileRange) {
+ seg := s.LowerBoundSegment(r.Start)
+ if !seg.Ok() {
+ return
+ }
+ next := seg.NextSegment()
+ for next.Ok() && next.Range().Start < r.End {
+ if mseg := s.MergeUnchecked(seg, next); mseg.Ok() {
+ seg, next = mseg, mseg.NextSegment()
+ } else {
+ seg, next = next, next.NextSegment()
+ }
+ }
+}
+
+// MergeAdjacent attempts to merge the segment containing r.Start with its
+// predecessor, and the segment containing r.End-1 with its successor.
+func (s *reclaimSet) MergeAdjacent(r __generics_imported0.FileRange) {
+ first := s.FindSegment(r.Start)
+ if first.Ok() {
+ if prev := first.PrevSegment(); prev.Ok() {
+ s.Merge(prev, first)
+ }
+ }
+ last := s.FindSegment(r.End - 1)
+ if last.Ok() {
+ if next := last.NextSegment(); next.Ok() {
+ s.Merge(last, next)
+ }
+ }
+}
+
+// Split splits the given segment at the given key and returns iterators to the
+// two resulting segments. All existing iterators (including seg, but not
+// including the returned iterators) are invalidated.
+//
+// If the segment cannot be split at split (because split is at the start or
+// end of the segment's range, so splitting would produce a segment with zero
+// length, or because split falls outside the segment's range altogether),
+// Split panics.
+func (s *reclaimSet) Split(seg reclaimIterator, split uint64) (reclaimIterator, reclaimIterator) {
+ if !seg.Range().CanSplitAt(split) {
+ panic(fmt.Sprintf("can't split %v at %v", seg.Range(), split))
+ }
+ return s.SplitUnchecked(seg, split)
+}
+
+// SplitUnchecked splits the given segment at the given key and returns
+// iterators to the two resulting segments. All existing iterators (including
+// seg, but not including the returned iterators) are invalidated.
+//
+// Preconditions: seg.Start() < key < seg.End().
+func (s *reclaimSet) SplitUnchecked(seg reclaimIterator, split uint64) (reclaimIterator, reclaimIterator) {
+ val1, val2 := (reclaimSetFunctions{}).Split(seg.Range(), seg.Value(), split)
+ end2 := seg.End()
+ seg.SetEndUnchecked(split)
+ seg.SetValue(val1)
+ seg2 := s.InsertWithoutMergingUnchecked(seg.NextGap(), __generics_imported0.FileRange{split, end2}, val2)
+
+ return seg2.PrevSegment(), seg2
+}
+
+// SplitAt splits the segment straddling split, if one exists. SplitAt returns
+// true if a segment was split and false otherwise. If SplitAt splits a
+// segment, all existing iterators are invalidated.
+func (s *reclaimSet) SplitAt(split uint64) bool {
+ if seg := s.FindSegment(split); seg.Ok() && seg.Range().CanSplitAt(split) {
+ s.SplitUnchecked(seg, split)
+ return true
+ }
+ return false
+}
+
+// Isolate ensures that the given segment's range does not escape r by
+// splitting at r.Start and r.End if necessary, and returns an updated iterator
+// to the bounded segment. All existing iterators (including seg, but not
+// including the returned iterators) are invalidated.
+func (s *reclaimSet) Isolate(seg reclaimIterator, r __generics_imported0.FileRange) reclaimIterator {
+ if seg.Range().CanSplitAt(r.Start) {
+ _, seg = s.SplitUnchecked(seg, r.Start)
+ }
+ if seg.Range().CanSplitAt(r.End) {
+ seg, _ = s.SplitUnchecked(seg, r.End)
+ }
+ return seg
+}
+
+// ApplyContiguous applies a function to a contiguous range of segments,
+// splitting if necessary. The function is applied until the first gap is
+// encountered, at which point the gap is returned. If the function is applied
+// across the entire range, a terminal gap is returned. All existing iterators
+// are invalidated.
+//
+// N.B. The Iterator must not be invalidated by the function.
+func (s *reclaimSet) ApplyContiguous(r __generics_imported0.FileRange, fn func(seg reclaimIterator)) reclaimGapIterator {
+ seg, gap := s.Find(r.Start)
+ if !seg.Ok() {
+ return gap
+ }
+ for {
+ seg = s.Isolate(seg, r)
+ fn(seg)
+ if seg.End() >= r.End {
+ return reclaimGapIterator{}
+ }
+ gap = seg.NextGap()
+ if !gap.IsEmpty() {
+ return gap
+ }
+ seg = gap.NextSegment()
+ if !seg.Ok() {
+
+ return reclaimGapIterator{}
+ }
+ }
+}
+
+// +stateify savable
+type reclaimnode struct {
+ // An internal binary tree node looks like:
+ //
+ // K
+ // / \
+ // Cl Cr
+ //
+ // where all keys in the subtree rooted by Cl (the left subtree) are less
+ // than K (the key of the parent node), and all keys in the subtree rooted
+ // by Cr (the right subtree) are greater than K.
+ //
+ // An internal B-tree node's indexes work out to look like:
+ //
+ // K0 K1 K2 ... Kn-1
+ // / \/ \/ \ ... / \
+ // C0 C1 C2 C3 ... Cn-1 Cn
+ //
+ // where n is nrSegments.
+ nrSegments int
+
+ // parent is a pointer to this node's parent. If this node is root, parent
+ // is nil.
+ parent *reclaimnode
+
+ // parentIndex is the index of this node in parent.children.
+ parentIndex int
+
+ // Flag for internal nodes that is technically redundant with "children[0]
+ // != nil", but is stored in the first cache line. "hasChildren" rather
+ // than "isLeaf" because false must be the correct value for an empty root.
+ hasChildren bool
+
+ // The longest gap within this node. If the node is a leaf, it's simply the
+ // maximum gap among all the (nrSegments+1) gaps formed by its nrSegments keys
+ // including the 0th and nrSegments-th gap possibly shared with its upper-level
+ // nodes; if it's a non-leaf node, it's the max of all children's maxGap.
+ maxGap reclaimdynamicGap
+
+ // Nodes store keys and values in separate arrays to maximize locality in
+ // the common case (scanning keys for lookup).
+ keys [reclaimmaxDegree - 1]__generics_imported0.FileRange
+ values [reclaimmaxDegree - 1]reclaimSetValue
+ children [reclaimmaxDegree]*reclaimnode
+}
+
+// firstSegment returns the first segment in the subtree rooted by n.
+//
+// Preconditions: n.nrSegments != 0.
+func (n *reclaimnode) firstSegment() reclaimIterator {
+ for n.hasChildren {
+ n = n.children[0]
+ }
+ return reclaimIterator{n, 0}
+}
+
+// lastSegment returns the last segment in the subtree rooted by n.
+//
+// Preconditions: n.nrSegments != 0.
+func (n *reclaimnode) lastSegment() reclaimIterator {
+ for n.hasChildren {
+ n = n.children[n.nrSegments]
+ }
+ return reclaimIterator{n, n.nrSegments - 1}
+}
+
+func (n *reclaimnode) prevSibling() *reclaimnode {
+ if n.parent == nil || n.parentIndex == 0 {
+ return nil
+ }
+ return n.parent.children[n.parentIndex-1]
+}
+
+func (n *reclaimnode) nextSibling() *reclaimnode {
+ if n.parent == nil || n.parentIndex == n.parent.nrSegments {
+ return nil
+ }
+ return n.parent.children[n.parentIndex+1]
+}
+
+// rebalanceBeforeInsert splits n and its ancestors if they are full, as
+// required for insertion, and returns an updated iterator to the position
+// represented by gap.
+func (n *reclaimnode) rebalanceBeforeInsert(gap reclaimGapIterator) reclaimGapIterator {
+ if n.nrSegments < reclaimmaxDegree-1 {
+ return gap
+ }
+ if n.parent != nil {
+ gap = n.parent.rebalanceBeforeInsert(gap)
+ }
+ if n.parent == nil {
+
+ left := &reclaimnode{
+ nrSegments: reclaimminDegree - 1,
+ parent: n,
+ parentIndex: 0,
+ hasChildren: n.hasChildren,
+ }
+ right := &reclaimnode{
+ nrSegments: reclaimminDegree - 1,
+ parent: n,
+ parentIndex: 1,
+ hasChildren: n.hasChildren,
+ }
+ copy(left.keys[:reclaimminDegree-1], n.keys[:reclaimminDegree-1])
+ copy(left.values[:reclaimminDegree-1], n.values[:reclaimminDegree-1])
+ copy(right.keys[:reclaimminDegree-1], n.keys[reclaimminDegree:])
+ copy(right.values[:reclaimminDegree-1], n.values[reclaimminDegree:])
+ n.keys[0], n.values[0] = n.keys[reclaimminDegree-1], n.values[reclaimminDegree-1]
+ reclaimzeroValueSlice(n.values[1:])
+ if n.hasChildren {
+ copy(left.children[:reclaimminDegree], n.children[:reclaimminDegree])
+ copy(right.children[:reclaimminDegree], n.children[reclaimminDegree:])
+ reclaimzeroNodeSlice(n.children[2:])
+ for i := 0; i < reclaimminDegree; i++ {
+ left.children[i].parent = left
+ left.children[i].parentIndex = i
+ right.children[i].parent = right
+ right.children[i].parentIndex = i
+ }
+ }
+ n.nrSegments = 1
+ n.hasChildren = true
+ n.children[0] = left
+ n.children[1] = right
+
+ if reclaimtrackGaps != 0 {
+ left.updateMaxGapLocal()
+ right.updateMaxGapLocal()
+ }
+ if gap.node != n {
+ return gap
+ }
+ if gap.index < reclaimminDegree {
+ return reclaimGapIterator{left, gap.index}
+ }
+ return reclaimGapIterator{right, gap.index - reclaimminDegree}
+ }
+
+ copy(n.parent.keys[n.parentIndex+1:], n.parent.keys[n.parentIndex:n.parent.nrSegments])
+ copy(n.parent.values[n.parentIndex+1:], n.parent.values[n.parentIndex:n.parent.nrSegments])
+ n.parent.keys[n.parentIndex], n.parent.values[n.parentIndex] = n.keys[reclaimminDegree-1], n.values[reclaimminDegree-1]
+ copy(n.parent.children[n.parentIndex+2:], n.parent.children[n.parentIndex+1:n.parent.nrSegments+1])
+ for i := n.parentIndex + 2; i < n.parent.nrSegments+2; i++ {
+ n.parent.children[i].parentIndex = i
+ }
+ sibling := &reclaimnode{
+ nrSegments: reclaimminDegree - 1,
+ parent: n.parent,
+ parentIndex: n.parentIndex + 1,
+ hasChildren: n.hasChildren,
+ }
+ n.parent.children[n.parentIndex+1] = sibling
+ n.parent.nrSegments++
+ copy(sibling.keys[:reclaimminDegree-1], n.keys[reclaimminDegree:])
+ copy(sibling.values[:reclaimminDegree-1], n.values[reclaimminDegree:])
+ reclaimzeroValueSlice(n.values[reclaimminDegree-1:])
+ if n.hasChildren {
+ copy(sibling.children[:reclaimminDegree], n.children[reclaimminDegree:])
+ reclaimzeroNodeSlice(n.children[reclaimminDegree:])
+ for i := 0; i < reclaimminDegree; i++ {
+ sibling.children[i].parent = sibling
+ sibling.children[i].parentIndex = i
+ }
+ }
+ n.nrSegments = reclaimminDegree - 1
+
+ if reclaimtrackGaps != 0 {
+ n.updateMaxGapLocal()
+ sibling.updateMaxGapLocal()
+ }
+
+ if gap.node != n {
+ return gap
+ }
+ if gap.index < reclaimminDegree {
+ return gap
+ }
+ return reclaimGapIterator{sibling, gap.index - reclaimminDegree}
+}
+
+// rebalanceAfterRemove "unsplits" n and its ancestors if they are deficient
+// (contain fewer segments than required by B-tree invariants), as required for
+// removal, and returns an updated iterator to the position represented by gap.
+//
+// Precondition: n is the only node in the tree that may currently violate a
+// B-tree invariant.
+func (n *reclaimnode) rebalanceAfterRemove(gap reclaimGapIterator) reclaimGapIterator {
+ for {
+ if n.nrSegments >= reclaimminDegree-1 {
+ return gap
+ }
+ if n.parent == nil {
+
+ return gap
+ }
+
+ if sibling := n.prevSibling(); sibling != nil && sibling.nrSegments >= reclaimminDegree {
+ copy(n.keys[1:], n.keys[:n.nrSegments])
+ copy(n.values[1:], n.values[:n.nrSegments])
+ n.keys[0] = n.parent.keys[n.parentIndex-1]
+ n.values[0] = n.parent.values[n.parentIndex-1]
+ n.parent.keys[n.parentIndex-1] = sibling.keys[sibling.nrSegments-1]
+ n.parent.values[n.parentIndex-1] = sibling.values[sibling.nrSegments-1]
+ reclaimSetFunctions{}.ClearValue(&sibling.values[sibling.nrSegments-1])
+ if n.hasChildren {
+ copy(n.children[1:], n.children[:n.nrSegments+1])
+ n.children[0] = sibling.children[sibling.nrSegments]
+ sibling.children[sibling.nrSegments] = nil
+ n.children[0].parent = n
+ n.children[0].parentIndex = 0
+ for i := 1; i < n.nrSegments+2; i++ {
+ n.children[i].parentIndex = i
+ }
+ }
+ n.nrSegments++
+ sibling.nrSegments--
+
+ if reclaimtrackGaps != 0 {
+ n.updateMaxGapLocal()
+ sibling.updateMaxGapLocal()
+ }
+ if gap.node == sibling && gap.index == sibling.nrSegments {
+ return reclaimGapIterator{n, 0}
+ }
+ if gap.node == n {
+ return reclaimGapIterator{n, gap.index + 1}
+ }
+ return gap
+ }
+ if sibling := n.nextSibling(); sibling != nil && sibling.nrSegments >= reclaimminDegree {
+ n.keys[n.nrSegments] = n.parent.keys[n.parentIndex]
+ n.values[n.nrSegments] = n.parent.values[n.parentIndex]
+ n.parent.keys[n.parentIndex] = sibling.keys[0]
+ n.parent.values[n.parentIndex] = sibling.values[0]
+ copy(sibling.keys[:sibling.nrSegments-1], sibling.keys[1:])
+ copy(sibling.values[:sibling.nrSegments-1], sibling.values[1:])
+ reclaimSetFunctions{}.ClearValue(&sibling.values[sibling.nrSegments-1])
+ if n.hasChildren {
+ n.children[n.nrSegments+1] = sibling.children[0]
+ copy(sibling.children[:sibling.nrSegments], sibling.children[1:])
+ sibling.children[sibling.nrSegments] = nil
+ n.children[n.nrSegments+1].parent = n
+ n.children[n.nrSegments+1].parentIndex = n.nrSegments + 1
+ for i := 0; i < sibling.nrSegments; i++ {
+ sibling.children[i].parentIndex = i
+ }
+ }
+ n.nrSegments++
+ sibling.nrSegments--
+
+ if reclaimtrackGaps != 0 {
+ n.updateMaxGapLocal()
+ sibling.updateMaxGapLocal()
+ }
+ if gap.node == sibling {
+ if gap.index == 0 {
+ return reclaimGapIterator{n, n.nrSegments}
+ }
+ return reclaimGapIterator{sibling, gap.index - 1}
+ }
+ return gap
+ }
+
+ p := n.parent
+ if p.nrSegments == 1 {
+
+ left, right := p.children[0], p.children[1]
+ p.nrSegments = left.nrSegments + right.nrSegments + 1
+ p.hasChildren = left.hasChildren
+ p.keys[left.nrSegments] = p.keys[0]
+ p.values[left.nrSegments] = p.values[0]
+ copy(p.keys[:left.nrSegments], left.keys[:left.nrSegments])
+ copy(p.values[:left.nrSegments], left.values[:left.nrSegments])
+ copy(p.keys[left.nrSegments+1:], right.keys[:right.nrSegments])
+ copy(p.values[left.nrSegments+1:], right.values[:right.nrSegments])
+ if left.hasChildren {
+ copy(p.children[:left.nrSegments+1], left.children[:left.nrSegments+1])
+ copy(p.children[left.nrSegments+1:], right.children[:right.nrSegments+1])
+ for i := 0; i < p.nrSegments+1; i++ {
+ p.children[i].parent = p
+ p.children[i].parentIndex = i
+ }
+ } else {
+ p.children[0] = nil
+ p.children[1] = nil
+ }
+
+ if gap.node == left {
+ return reclaimGapIterator{p, gap.index}
+ }
+ if gap.node == right {
+ return reclaimGapIterator{p, gap.index + left.nrSegments + 1}
+ }
+ return gap
+ }
+ // Merge n and either sibling, along with the segment separating the
+ // two, into whichever of the two nodes comes first. This is the
+ // reverse of the non-root splitting case in
+ // node.rebalanceBeforeInsert.
+ var left, right *reclaimnode
+ if n.parentIndex > 0 {
+ left = n.prevSibling()
+ right = n
+ } else {
+ left = n
+ right = n.nextSibling()
+ }
+
+ if gap.node == right {
+ gap = reclaimGapIterator{left, gap.index + left.nrSegments + 1}
+ }
+ left.keys[left.nrSegments] = p.keys[left.parentIndex]
+ left.values[left.nrSegments] = p.values[left.parentIndex]
+ copy(left.keys[left.nrSegments+1:], right.keys[:right.nrSegments])
+ copy(left.values[left.nrSegments+1:], right.values[:right.nrSegments])
+ if left.hasChildren {
+ copy(left.children[left.nrSegments+1:], right.children[:right.nrSegments+1])
+ for i := left.nrSegments + 1; i < left.nrSegments+right.nrSegments+2; i++ {
+ left.children[i].parent = left
+ left.children[i].parentIndex = i
+ }
+ }
+ left.nrSegments += right.nrSegments + 1
+ copy(p.keys[left.parentIndex:], p.keys[left.parentIndex+1:p.nrSegments])
+ copy(p.values[left.parentIndex:], p.values[left.parentIndex+1:p.nrSegments])
+ reclaimSetFunctions{}.ClearValue(&p.values[p.nrSegments-1])
+ copy(p.children[left.parentIndex+1:], p.children[left.parentIndex+2:p.nrSegments+1])
+ for i := 0; i < p.nrSegments; i++ {
+ p.children[i].parentIndex = i
+ }
+ p.children[p.nrSegments] = nil
+ p.nrSegments--
+
+ if reclaimtrackGaps != 0 {
+ left.updateMaxGapLocal()
+ }
+
+ n = p
+ }
+}
+
+// updateMaxGapLeaf updates maxGap bottom-up from the calling leaf until no
+// necessary update.
+//
+// Preconditions: n must be a leaf node, trackGaps must be 1.
+func (n *reclaimnode) updateMaxGapLeaf() {
+ if n.hasChildren {
+ panic(fmt.Sprintf("updateMaxGapLeaf should always be called on leaf node: %v", n))
+ }
+ max := n.calculateMaxGapLeaf()
+ if max == n.maxGap.Get() {
+
+ return
+ }
+ oldMax := n.maxGap.Get()
+ n.maxGap.Set(max)
+ if max > oldMax {
+
+ for p := n.parent; p != nil; p = p.parent {
+ if p.maxGap.Get() >= max {
+
+ break
+ }
+
+ p.maxGap.Set(max)
+ }
+ return
+ }
+
+ for p := n.parent; p != nil; p = p.parent {
+ if p.maxGap.Get() > oldMax {
+
+ break
+ }
+
+ parentNewMax := p.calculateMaxGapInternal()
+ if p.maxGap.Get() == parentNewMax {
+
+ break
+ }
+
+ p.maxGap.Set(parentNewMax)
+ }
+}
+
+// updateMaxGapLocal updates maxGap of the calling node solely with no
+// propagation to ancestor nodes.
+//
+// Precondition: trackGaps must be 1.
+func (n *reclaimnode) updateMaxGapLocal() {
+ if !n.hasChildren {
+
+ n.maxGap.Set(n.calculateMaxGapLeaf())
+ } else {
+
+ n.maxGap.Set(n.calculateMaxGapInternal())
+ }
+}
+
+// calculateMaxGapLeaf iterates the gaps within a leaf node and calculate the
+// max.
+//
+// Preconditions: n must be a leaf node.
+func (n *reclaimnode) calculateMaxGapLeaf() uint64 {
+ max := reclaimGapIterator{n, 0}.Range().Length()
+ for i := 1; i <= n.nrSegments; i++ {
+ if current := (reclaimGapIterator{n, i}).Range().Length(); current > max {
+ max = current
+ }
+ }
+ return max
+}
+
+// calculateMaxGapInternal iterates children's maxGap within an internal node n
+// and calculate the max.
+//
+// Preconditions: n must be a non-leaf node.
+func (n *reclaimnode) calculateMaxGapInternal() uint64 {
+ max := n.children[0].maxGap.Get()
+ for i := 1; i <= n.nrSegments; i++ {
+ if current := n.children[i].maxGap.Get(); current > max {
+ max = current
+ }
+ }
+ return max
+}
+
+// searchFirstLargeEnoughGap returns the first gap having at least minSize length
+// in the subtree rooted by n. If not found, return a terminal gap iterator.
+func (n *reclaimnode) searchFirstLargeEnoughGap(minSize uint64) reclaimGapIterator {
+ if n.maxGap.Get() < minSize {
+ return reclaimGapIterator{}
+ }
+ if n.hasChildren {
+ for i := 0; i <= n.nrSegments; i++ {
+ if largeEnoughGap := n.children[i].searchFirstLargeEnoughGap(minSize); largeEnoughGap.Ok() {
+ return largeEnoughGap
+ }
+ }
+ } else {
+ for i := 0; i <= n.nrSegments; i++ {
+ currentGap := reclaimGapIterator{n, i}
+ if currentGap.Range().Length() >= minSize {
+ return currentGap
+ }
+ }
+ }
+ panic(fmt.Sprintf("invalid maxGap in %v", n))
+}
+
+// searchLastLargeEnoughGap returns the last gap having at least minSize length
+// in the subtree rooted by n. If not found, return a terminal gap iterator.
+func (n *reclaimnode) searchLastLargeEnoughGap(minSize uint64) reclaimGapIterator {
+ if n.maxGap.Get() < minSize {
+ return reclaimGapIterator{}
+ }
+ if n.hasChildren {
+ for i := n.nrSegments; i >= 0; i-- {
+ if largeEnoughGap := n.children[i].searchLastLargeEnoughGap(minSize); largeEnoughGap.Ok() {
+ return largeEnoughGap
+ }
+ }
+ } else {
+ for i := n.nrSegments; i >= 0; i-- {
+ currentGap := reclaimGapIterator{n, i}
+ if currentGap.Range().Length() >= minSize {
+ return currentGap
+ }
+ }
+ }
+ panic(fmt.Sprintf("invalid maxGap in %v", n))
+}
+
+// A Iterator is conceptually one of:
+//
+// - A pointer to a segment in a set; or
+//
+// - A terminal iterator, which is a sentinel indicating that the end of
+// iteration has been reached.
+//
+// Iterators are copyable values and are meaningfully equality-comparable. The
+// zero value of Iterator is a terminal iterator.
+//
+// Unless otherwise specified, any mutation of a set invalidates all existing
+// iterators into the set.
+type reclaimIterator struct {
+ // node is the node containing the iterated segment. If the iterator is
+ // terminal, node is nil.
+ node *reclaimnode
+
+ // index is the index of the segment in node.keys/values.
+ index int
+}
+
+// Ok returns true if the iterator is not terminal. All other methods are only
+// valid for non-terminal iterators.
+func (seg reclaimIterator) Ok() bool {
+ return seg.node != nil
+}
+
+// Range returns the iterated segment's range key.
+func (seg reclaimIterator) Range() __generics_imported0.FileRange {
+ return seg.node.keys[seg.index]
+}
+
+// Start is equivalent to Range().Start, but should be preferred if only the
+// start of the range is needed.
+func (seg reclaimIterator) Start() uint64 {
+ return seg.node.keys[seg.index].Start
+}
+
+// End is equivalent to Range().End, but should be preferred if only the end of
+// the range is needed.
+func (seg reclaimIterator) End() uint64 {
+ return seg.node.keys[seg.index].End
+}
+
+// SetRangeUnchecked mutates the iterated segment's range key. This operation
+// does not invalidate any iterators.
+//
+// Preconditions:
+//
+// - r.Length() > 0.
+//
+// - The new range must not overlap an existing one: If seg.NextSegment().Ok(),
+// then r.end <= seg.NextSegment().Start(); if seg.PrevSegment().Ok(), then
+// r.start >= seg.PrevSegment().End().
+func (seg reclaimIterator) SetRangeUnchecked(r __generics_imported0.FileRange) {
+ seg.node.keys[seg.index] = r
+}
+
+// SetRange mutates the iterated segment's range key. If the new range would
+// cause the iterated segment to overlap another segment, or if the new range
+// is invalid, SetRange panics. This operation does not invalidate any
+// iterators.
+func (seg reclaimIterator) SetRange(r __generics_imported0.FileRange) {
+ if r.Length() <= 0 {
+ panic(fmt.Sprintf("invalid segment range %v", r))
+ }
+ if prev := seg.PrevSegment(); prev.Ok() && r.Start < prev.End() {
+ panic(fmt.Sprintf("new segment range %v overlaps segment range %v", r, prev.Range()))
+ }
+ if next := seg.NextSegment(); next.Ok() && r.End > next.Start() {
+ panic(fmt.Sprintf("new segment range %v overlaps segment range %v", r, next.Range()))
+ }
+ seg.SetRangeUnchecked(r)
+}
+
+// SetStartUnchecked mutates the iterated segment's start. This operation does
+// not invalidate any iterators.
+//
+// Preconditions: The new start must be valid: start < seg.End(); if
+// seg.PrevSegment().Ok(), then start >= seg.PrevSegment().End().
+func (seg reclaimIterator) SetStartUnchecked(start uint64) {
+ seg.node.keys[seg.index].Start = start
+}
+
+// SetStart mutates the iterated segment's start. If the new start value would
+// cause the iterated segment to overlap another segment, or would result in an
+// invalid range, SetStart panics. This operation does not invalidate any
+// iterators.
+func (seg reclaimIterator) SetStart(start uint64) {
+ if start >= seg.End() {
+ panic(fmt.Sprintf("new start %v would invalidate segment range %v", start, seg.Range()))
+ }
+ if prev := seg.PrevSegment(); prev.Ok() && start < prev.End() {
+ panic(fmt.Sprintf("new start %v would cause segment range %v to overlap segment range %v", start, seg.Range(), prev.Range()))
+ }
+ seg.SetStartUnchecked(start)
+}
+
+// SetEndUnchecked mutates the iterated segment's end. This operation does not
+// invalidate any iterators.
+//
+// Preconditions: The new end must be valid: end > seg.Start(); if
+// seg.NextSegment().Ok(), then end <= seg.NextSegment().Start().
+func (seg reclaimIterator) SetEndUnchecked(end uint64) {
+ seg.node.keys[seg.index].End = end
+}
+
+// SetEnd mutates the iterated segment's end. If the new end value would cause
+// the iterated segment to overlap another segment, or would result in an
+// invalid range, SetEnd panics. This operation does not invalidate any
+// iterators.
+func (seg reclaimIterator) SetEnd(end uint64) {
+ if end <= seg.Start() {
+ panic(fmt.Sprintf("new end %v would invalidate segment range %v", end, seg.Range()))
+ }
+ if next := seg.NextSegment(); next.Ok() && end > next.Start() {
+ panic(fmt.Sprintf("new end %v would cause segment range %v to overlap segment range %v", end, seg.Range(), next.Range()))
+ }
+ seg.SetEndUnchecked(end)
+}
+
+// Value returns a copy of the iterated segment's value.
+func (seg reclaimIterator) Value() reclaimSetValue {
+ return seg.node.values[seg.index]
+}
+
+// ValuePtr returns a pointer to the iterated segment's value. The pointer is
+// invalidated if the iterator is invalidated. This operation does not
+// invalidate any iterators.
+func (seg reclaimIterator) ValuePtr() *reclaimSetValue {
+ return &seg.node.values[seg.index]
+}
+
+// SetValue mutates the iterated segment's value. This operation does not
+// invalidate any iterators.
+func (seg reclaimIterator) SetValue(val reclaimSetValue) {
+ seg.node.values[seg.index] = val
+}
+
+// PrevSegment returns the iterated segment's predecessor. If there is no
+// preceding segment, PrevSegment returns a terminal iterator.
+func (seg reclaimIterator) PrevSegment() reclaimIterator {
+ if seg.node.hasChildren {
+ return seg.node.children[seg.index].lastSegment()
+ }
+ if seg.index > 0 {
+ return reclaimIterator{seg.node, seg.index - 1}
+ }
+ if seg.node.parent == nil {
+ return reclaimIterator{}
+ }
+ return reclaimsegmentBeforePosition(seg.node.parent, seg.node.parentIndex)
+}
+
+// NextSegment returns the iterated segment's successor. If there is no
+// succeeding segment, NextSegment returns a terminal iterator.
+func (seg reclaimIterator) NextSegment() reclaimIterator {
+ if seg.node.hasChildren {
+ return seg.node.children[seg.index+1].firstSegment()
+ }
+ if seg.index < seg.node.nrSegments-1 {
+ return reclaimIterator{seg.node, seg.index + 1}
+ }
+ if seg.node.parent == nil {
+ return reclaimIterator{}
+ }
+ return reclaimsegmentAfterPosition(seg.node.parent, seg.node.parentIndex)
+}
+
+// PrevGap returns the gap immediately before the iterated segment.
+func (seg reclaimIterator) PrevGap() reclaimGapIterator {
+ if seg.node.hasChildren {
+
+ return seg.node.children[seg.index].lastSegment().NextGap()
+ }
+ return reclaimGapIterator{seg.node, seg.index}
+}
+
+// NextGap returns the gap immediately after the iterated segment.
+func (seg reclaimIterator) NextGap() reclaimGapIterator {
+ if seg.node.hasChildren {
+ return seg.node.children[seg.index+1].firstSegment().PrevGap()
+ }
+ return reclaimGapIterator{seg.node, seg.index + 1}
+}
+
+// PrevNonEmpty returns the iterated segment's predecessor if it is adjacent,
+// or the gap before the iterated segment otherwise. If seg.Start() ==
+// Functions.MinKey(), PrevNonEmpty will return two terminal iterators.
+// Otherwise, exactly one of the iterators returned by PrevNonEmpty will be
+// non-terminal.
+func (seg reclaimIterator) PrevNonEmpty() (reclaimIterator, reclaimGapIterator) {
+ gap := seg.PrevGap()
+ if gap.Range().Length() != 0 {
+ return reclaimIterator{}, gap
+ }
+ return gap.PrevSegment(), reclaimGapIterator{}
+}
+
+// NextNonEmpty returns the iterated segment's successor if it is adjacent, or
+// the gap after the iterated segment otherwise. If seg.End() ==
+// Functions.MaxKey(), NextNonEmpty will return two terminal iterators.
+// Otherwise, exactly one of the iterators returned by NextNonEmpty will be
+// non-terminal.
+func (seg reclaimIterator) NextNonEmpty() (reclaimIterator, reclaimGapIterator) {
+ gap := seg.NextGap()
+ if gap.Range().Length() != 0 {
+ return reclaimIterator{}, gap
+ }
+ return gap.NextSegment(), reclaimGapIterator{}
+}
+
+// A GapIterator is conceptually one of:
+//
+// - A pointer to a position between two segments, before the first segment, or
+// after the last segment in a set, called a *gap*; or
+//
+// - A terminal iterator, which is a sentinel indicating that the end of
+// iteration has been reached.
+//
+// Note that the gap between two adjacent segments exists (iterators to it are
+// non-terminal), but has a length of zero. GapIterator.IsEmpty returns true
+// for such gaps. An empty set contains a single gap, spanning the entire range
+// of the set's keys.
+//
+// GapIterators are copyable values and are meaningfully equality-comparable.
+// The zero value of GapIterator is a terminal iterator.
+//
+// Unless otherwise specified, any mutation of a set invalidates all existing
+// iterators into the set.
+type reclaimGapIterator struct {
+ // The representation of a GapIterator is identical to that of an Iterator,
+ // except that index corresponds to positions between segments in the same
+ // way as for node.children (see comment for node.nrSegments).
+ node *reclaimnode
+ index int
+}
+
+// Ok returns true if the iterator is not terminal. All other methods are only
+// valid for non-terminal iterators.
+func (gap reclaimGapIterator) Ok() bool {
+ return gap.node != nil
+}
+
+// Range returns the range spanned by the iterated gap.
+func (gap reclaimGapIterator) Range() __generics_imported0.FileRange {
+ return __generics_imported0.FileRange{gap.Start(), gap.End()}
+}
+
+// Start is equivalent to Range().Start, but should be preferred if only the
+// start of the range is needed.
+func (gap reclaimGapIterator) Start() uint64 {
+ if ps := gap.PrevSegment(); ps.Ok() {
+ return ps.End()
+ }
+ return reclaimSetFunctions{}.MinKey()
+}
+
+// End is equivalent to Range().End, but should be preferred if only the end of
+// the range is needed.
+func (gap reclaimGapIterator) End() uint64 {
+ if ns := gap.NextSegment(); ns.Ok() {
+ return ns.Start()
+ }
+ return reclaimSetFunctions{}.MaxKey()
+}
+
+// IsEmpty returns true if the iterated gap is empty (that is, the "gap" is
+// between two adjacent segments.)
+func (gap reclaimGapIterator) IsEmpty() bool {
+ return gap.Range().Length() == 0
+}
+
+// PrevSegment returns the segment immediately before the iterated gap. If no
+// such segment exists, PrevSegment returns a terminal iterator.
+func (gap reclaimGapIterator) PrevSegment() reclaimIterator {
+ return reclaimsegmentBeforePosition(gap.node, gap.index)
+}
+
+// NextSegment returns the segment immediately after the iterated gap. If no
+// such segment exists, NextSegment returns a terminal iterator.
+func (gap reclaimGapIterator) NextSegment() reclaimIterator {
+ return reclaimsegmentAfterPosition(gap.node, gap.index)
+}
+
+// PrevGap returns the iterated gap's predecessor. If no such gap exists,
+// PrevGap returns a terminal iterator.
+func (gap reclaimGapIterator) PrevGap() reclaimGapIterator {
+ seg := gap.PrevSegment()
+ if !seg.Ok() {
+ return reclaimGapIterator{}
+ }
+ return seg.PrevGap()
+}
+
+// NextGap returns the iterated gap's successor. If no such gap exists, NextGap
+// returns a terminal iterator.
+func (gap reclaimGapIterator) NextGap() reclaimGapIterator {
+ seg := gap.NextSegment()
+ if !seg.Ok() {
+ return reclaimGapIterator{}
+ }
+ return seg.NextGap()
+}
+
+// NextLargeEnoughGap returns the iterated gap's first next gap with larger
+// length than minSize. If not found, return a terminal gap iterator (does NOT
+// include this gap itself).
+//
+// Precondition: trackGaps must be 1.
+func (gap reclaimGapIterator) NextLargeEnoughGap(minSize uint64) reclaimGapIterator {
+ if reclaimtrackGaps != 1 {
+ panic("set is not tracking gaps")
+ }
+ if gap.node != nil && gap.node.hasChildren && gap.index == gap.node.nrSegments {
+
+ gap.node = gap.NextSegment().node
+ gap.index = 0
+ return gap.nextLargeEnoughGapHelper(minSize)
+ }
+ return gap.nextLargeEnoughGapHelper(minSize)
+}
+
+// nextLargeEnoughGapHelper is the helper function used by NextLargeEnoughGap
+// to do the real recursions.
+//
+// Preconditions: gap is NOT the trailing gap of a non-leaf node.
+func (gap reclaimGapIterator) nextLargeEnoughGapHelper(minSize uint64) reclaimGapIterator {
+
+ for gap.node != nil &&
+ (gap.node.maxGap.Get() < minSize || (!gap.node.hasChildren && gap.index == gap.node.nrSegments)) {
+ gap.node, gap.index = gap.node.parent, gap.node.parentIndex
+ }
+
+ if gap.node == nil {
+ return reclaimGapIterator{}
+ }
+
+ gap.index++
+ for gap.index <= gap.node.nrSegments {
+ if gap.node.hasChildren {
+ if largeEnoughGap := gap.node.children[gap.index].searchFirstLargeEnoughGap(minSize); largeEnoughGap.Ok() {
+ return largeEnoughGap
+ }
+ } else {
+ if gap.Range().Length() >= minSize {
+ return gap
+ }
+ }
+ gap.index++
+ }
+ gap.node, gap.index = gap.node.parent, gap.node.parentIndex
+ if gap.node != nil && gap.index == gap.node.nrSegments {
+
+ gap.node, gap.index = gap.node.parent, gap.node.parentIndex
+ }
+ return gap.nextLargeEnoughGapHelper(minSize)
+}
+
+// PrevLargeEnoughGap returns the iterated gap's first prev gap with larger or
+// equal length than minSize. If not found, return a terminal gap iterator
+// (does NOT include this gap itself).
+//
+// Precondition: trackGaps must be 1.
+func (gap reclaimGapIterator) PrevLargeEnoughGap(minSize uint64) reclaimGapIterator {
+ if reclaimtrackGaps != 1 {
+ panic("set is not tracking gaps")
+ }
+ if gap.node != nil && gap.node.hasChildren && gap.index == 0 {
+
+ gap.node = gap.PrevSegment().node
+ gap.index = gap.node.nrSegments
+ return gap.prevLargeEnoughGapHelper(minSize)
+ }
+ return gap.prevLargeEnoughGapHelper(minSize)
+}
+
+// prevLargeEnoughGapHelper is the helper function used by PrevLargeEnoughGap
+// to do the real recursions.
+//
+// Preconditions: gap is NOT the first gap of a non-leaf node.
+func (gap reclaimGapIterator) prevLargeEnoughGapHelper(minSize uint64) reclaimGapIterator {
+
+ for gap.node != nil &&
+ (gap.node.maxGap.Get() < minSize || (!gap.node.hasChildren && gap.index == 0)) {
+ gap.node, gap.index = gap.node.parent, gap.node.parentIndex
+ }
+
+ if gap.node == nil {
+ return reclaimGapIterator{}
+ }
+
+ gap.index--
+ for gap.index >= 0 {
+ if gap.node.hasChildren {
+ if largeEnoughGap := gap.node.children[gap.index].searchLastLargeEnoughGap(minSize); largeEnoughGap.Ok() {
+ return largeEnoughGap
+ }
+ } else {
+ if gap.Range().Length() >= minSize {
+ return gap
+ }
+ }
+ gap.index--
+ }
+ gap.node, gap.index = gap.node.parent, gap.node.parentIndex
+ if gap.node != nil && gap.index == 0 {
+
+ gap.node, gap.index = gap.node.parent, gap.node.parentIndex
+ }
+ return gap.prevLargeEnoughGapHelper(minSize)
+}
+
+// segmentBeforePosition returns the predecessor segment of the position given
+// by n.children[i], which may or may not contain a child. If no such segment
+// exists, segmentBeforePosition returns a terminal iterator.
+func reclaimsegmentBeforePosition(n *reclaimnode, i int) reclaimIterator {
+ for i == 0 {
+ if n.parent == nil {
+ return reclaimIterator{}
+ }
+ n, i = n.parent, n.parentIndex
+ }
+ return reclaimIterator{n, i - 1}
+}
+
+// segmentAfterPosition returns the successor segment of the position given by
+// n.children[i], which may or may not contain a child. If no such segment
+// exists, segmentAfterPosition returns a terminal iterator.
+func reclaimsegmentAfterPosition(n *reclaimnode, i int) reclaimIterator {
+ for i == n.nrSegments {
+ if n.parent == nil {
+ return reclaimIterator{}
+ }
+ n, i = n.parent, n.parentIndex
+ }
+ return reclaimIterator{n, i}
+}
+
+func reclaimzeroValueSlice(slice []reclaimSetValue) {
+
+ for i := range slice {
+ reclaimSetFunctions{}.ClearValue(&slice[i])
+ }
+}
+
+func reclaimzeroNodeSlice(slice []*reclaimnode) {
+ for i := range slice {
+ slice[i] = nil
+ }
+}
+
+// String stringifies a Set for debugging.
+func (s *reclaimSet) String() string {
+ return s.root.String()
+}
+
+// String stringifies a node (and all of its children) for debugging.
+func (n *reclaimnode) String() string {
+ var buf bytes.Buffer
+ n.writeDebugString(&buf, "")
+ return buf.String()
+}
+
+func (n *reclaimnode) writeDebugString(buf *bytes.Buffer, prefix string) {
+ if n.hasChildren != (n.nrSegments > 0 && n.children[0] != nil) {
+ buf.WriteString(prefix)
+ buf.WriteString(fmt.Sprintf("WARNING: inconsistent value of hasChildren: got %v, want %v\n", n.hasChildren, !n.hasChildren))
+ }
+ for i := 0; i < n.nrSegments; i++ {
+ if child := n.children[i]; child != nil {
+ cprefix := fmt.Sprintf("%s- % 3d ", prefix, i)
+ if child.parent != n || child.parentIndex != i {
+ buf.WriteString(cprefix)
+ buf.WriteString(fmt.Sprintf("WARNING: inconsistent linkage to parent: got (%p, %d), want (%p, %d)\n", child.parent, child.parentIndex, n, i))
+ }
+ child.writeDebugString(buf, fmt.Sprintf("%s- % 3d ", prefix, i))
+ }
+ buf.WriteString(prefix)
+ if n.hasChildren {
+ if reclaimtrackGaps != 0 {
+ buf.WriteString(fmt.Sprintf("- % 3d: %v => %v, maxGap: %d\n", i, n.keys[i], n.values[i], n.maxGap.Get()))
+ } else {
+ buf.WriteString(fmt.Sprintf("- % 3d: %v => %v\n", i, n.keys[i], n.values[i]))
+ }
+ } else {
+ buf.WriteString(fmt.Sprintf("- % 3d: %v => %v\n", i, n.keys[i], n.values[i]))
+ }
+ }
+ if child := n.children[n.nrSegments]; child != nil {
+ child.writeDebugString(buf, fmt.Sprintf("%s- % 3d ", prefix, n.nrSegments))
+ }
+}
+
+// SegmentDataSlices represents segments from a set as slices of start, end, and
+// values. SegmentDataSlices is primarily used as an intermediate representation
+// for save/restore and the layout here is optimized for that.
+//
+// +stateify savable
+type reclaimSegmentDataSlices struct {
+ Start []uint64
+ End []uint64
+ Values []reclaimSetValue
+}
+
+// ExportSortedSlice returns a copy of all segments in the given set, in ascending
+// key order.
+func (s *reclaimSet) ExportSortedSlices() *reclaimSegmentDataSlices {
+ var sds reclaimSegmentDataSlices
+ for seg := s.FirstSegment(); seg.Ok(); seg = seg.NextSegment() {
+ sds.Start = append(sds.Start, seg.Start())
+ sds.End = append(sds.End, seg.End())
+ sds.Values = append(sds.Values, seg.Value())
+ }
+ sds.Start = sds.Start[:len(sds.Start):len(sds.Start)]
+ sds.End = sds.End[:len(sds.End):len(sds.End)]
+ sds.Values = sds.Values[:len(sds.Values):len(sds.Values)]
+ return &sds
+}
+
+// ImportSortedSlice initializes the given set from the given slice.
+//
+// Preconditions: s must be empty. sds must represent a valid set (the segments
+// in sds must have valid lengths that do not overlap). The segments in sds
+// must be sorted in ascending key order.
+func (s *reclaimSet) ImportSortedSlices(sds *reclaimSegmentDataSlices) error {
+ if !s.IsEmpty() {
+ return fmt.Errorf("cannot import into non-empty set %v", s)
+ }
+ gap := s.FirstGap()
+ for i := range sds.Start {
+ r := __generics_imported0.FileRange{sds.Start[i], sds.End[i]}
+ if !gap.Range().IsSupersetOf(r) {
+ return fmt.Errorf("segment overlaps a preceding segment or is incorrectly sorted: [%d, %d) => %v", sds.Start[i], sds.End[i], sds.Values[i])
+ }
+ gap = s.InsertWithoutMerging(gap, r, sds.Values[i]).NextGap()
+ }
+ return nil
+}
+
+// segmentTestCheck returns an error if s is incorrectly sorted, does not
+// contain exactly expectedSegments segments, or contains a segment which
+// fails the passed check.
+//
+// This should be used only for testing, and has been added to this package for
+// templating convenience.
+func (s *reclaimSet) segmentTestCheck(expectedSegments int, segFunc func(int, __generics_imported0.FileRange, reclaimSetValue) error) error {
+ havePrev := false
+ prev := uint64(0)
+ nrSegments := 0
+ for seg := s.FirstSegment(); seg.Ok(); seg = seg.NextSegment() {
+ next := seg.Start()
+ if havePrev && prev >= next {
+ return fmt.Errorf("incorrect order: key %d (segment %d) >= key %d (segment %d)", prev, nrSegments-1, next, nrSegments)
+ }
+ if segFunc != nil {
+ if err := segFunc(nrSegments, seg.Range(), seg.Value()); err != nil {
+ return err
+ }
+ }
+ prev = next
+ havePrev = true
+ nrSegments++
+ }
+ if nrSegments != expectedSegments {
+ return fmt.Errorf("incorrect number of segments: got %d, wanted %d", nrSegments, expectedSegments)
+ }
+ return nil
+}
+
+// countSegments counts the number of segments in the set.
+//
+// Similar to Check, this should only be used for testing.
+func (s *reclaimSet) countSegments() (segments int) {
+ for seg := s.FirstSegment(); seg.Ok(); seg = seg.NextSegment() {
+ segments++
+ }
+ return segments
+}
+func (s *reclaimSet) saveRoot() *reclaimSegmentDataSlices {
+ return s.ExportSortedSlices()
+}
+
+func (s *reclaimSet) loadRoot(sds *reclaimSegmentDataSlices) {
+ if err := s.ImportSortedSlices(sds); err != nil {
+ panic(err)
+ }
+}
diff --git a/pkg/sentry/pgalloc/usage_set.go b/pkg/sentry/pgalloc/usage_set.go
index 79db792d9..6df3d12af 100644
--- a/pkg/sentry/pgalloc/usage_set.go
+++ b/pkg/sentry/pgalloc/usage_set.go
@@ -16,7 +16,7 @@ import (
// case, Key must be an unsigned integer.
//
// trackGaps must be 0 or 1.
-const usagetrackGaps = 0
+const usagetrackGaps = 1
var _ = uint8(usagetrackGaps << 7) // Will fail if not zero or one.