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uint64set.go
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uint64set.go
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package uint64set
import (
"math/bits"
"sort"
"sync"
"sync/atomic"
"unsafe"
)
// Set is a fast set for uint64.
//
// It should work faster than map[uint64]struct{} for semi-sparse uint64 values
// such as MetricIDs generated by lib/storage.
//
// It is unsafe calling Set methods from concurrent goroutines.
type Set struct {
itemsCount int
buckets bucket32Sorter
// Most likely the buckets contains only a single item, so put it here for performance reasons
// in order to improve memory locality.
scratchBuckets [1]bucket32
}
type bucket32Sorter []bucket32
func (s *bucket32Sorter) Len() int { return len(*s) }
func (s *bucket32Sorter) Less(i, j int) bool {
a := *s
return a[i].hi < a[j].hi
}
func (s *bucket32Sorter) Swap(i, j int) {
a := *s
a[i], a[j] = a[j], a[i]
}
// Clone returns an independent copy of s.
func (s *Set) Clone() *Set {
if s == nil || s.itemsCount == 0 {
// Return an empty set, so data could be added into it later.
return &Set{}
}
var dst Set
dst.itemsCount = s.itemsCount
if len(s.buckets) == 1 {
dst.buckets = dst.scratchBuckets[:]
} else {
dst.buckets = make([]bucket32, len(s.buckets))
}
for i := range s.buckets {
s.buckets[i].copyTo(&dst.buckets[i])
}
return &dst
}
func (s *Set) fixItemsCount() {
n := 0
for i := range s.buckets {
n += s.buckets[i].getLen()
}
s.itemsCount = n
}
func (s *Set) cloneShallow() *Set {
var dst Set
dst.itemsCount = s.itemsCount
if len(s.buckets) == 1 {
dst.buckets = dst.scratchBuckets[:]
}
dst.buckets = append(dst.buckets[:0], s.buckets...)
return &dst
}
// SizeBytes returns an estimate size of s in RAM.
func (s *Set) SizeBytes() uint64 {
if s == nil {
return 0
}
n := uint64(unsafe.Sizeof(*s))
for i := range s.buckets {
n += s.buckets[i].sizeBytes()
}
return n
}
// Len returns the number of distinct uint64 values in s.
func (s *Set) Len() int {
if s == nil {
return 0
}
return s.itemsCount
}
// Add adds x to s.
func (s *Set) Add(x uint64) {
hi32 := uint32(x >> 32)
lo32 := uint32(x)
bs := s.buckets
if len(bs) > 0 && bs[0].hi == hi32 {
// Manually inline bucket32.add for performance reasons.
hi16 := uint16(lo32 >> 16)
lo16 := uint16(lo32)
b32 := &bs[0]
his := b32.b16his
if n := b32.getHint(); n < uint32(len(his)) && his[n] == hi16 {
bs := b32.buckets
if n < uint32(len(bs)) && bs[n].add(lo16) {
s.itemsCount++
}
return
}
if b32.addSlow(hi16, lo16) {
s.itemsCount++
}
return
}
for i := range bs {
b32 := &bs[i]
if b32.hi == hi32 {
if b32.add(lo32) {
s.itemsCount++
}
return
}
}
b32 := s.addBucket32()
b32.hi = hi32
_ = b32.add(lo32)
s.itemsCount++
}
// AddMulti adds all the items from a to s.
//
// It is usually faster than calling s.Add() for each item in a.
//
// The caller is responsible for splitting a into items with clustered values.
func (s *Set) AddMulti(a []uint64) {
if len(a) == 0 {
return
}
hiPrev := uint32(a[0] >> 32)
i := 0
for j, x := range a {
hi := uint32(x >> 32)
if hi == hiPrev {
continue
}
b32 := s.getOrCreateBucket32(hiPrev)
s.itemsCount += b32.addMulti(a[i:j])
hiPrev = hi
i = j
}
b32 := s.getOrCreateBucket32(hiPrev)
s.itemsCount += b32.addMulti(a[i:])
}
func (s *Set) getOrCreateBucket32(hi uint32) *bucket32 {
bs := s.buckets
for i := range bs {
if bs[i].hi == hi {
return &bs[i]
}
}
b32 := s.addBucket32()
b32.hi = hi
return b32
}
func (s *Set) addBucket32() *bucket32 {
if len(s.buckets) == 0 {
s.buckets = s.scratchBuckets[:]
} else {
s.buckets = append(s.buckets, bucket32{})
}
return &s.buckets[len(s.buckets)-1]
}
// Has verifies whether x exists in s.
func (s *Set) Has(x uint64) bool {
if s == nil {
return false
}
hi32 := uint32(x >> 32)
lo32 := uint32(x)
bs := s.buckets
for i := range bs {
b32 := &bs[i]
if b32.hi == hi32 {
return b32.has(lo32)
}
}
return false
}
// Del deletes x from s.
func (s *Set) Del(x uint64) {
hi := uint32(x >> 32)
lo := uint32(x)
bs := s.buckets
if len(bs) > 0 && bs[0].hi == hi {
if bs[0].del(lo) {
s.itemsCount--
}
return
}
for i := range bs {
b32 := &bs[i]
if b32.hi == hi {
if b32.del(lo) {
s.itemsCount--
}
return
}
}
}
// AppendTo appends all the items from the set to dst and returns the result.
//
// The returned items are sorted.
//
// AppendTo can mutate s.
func (s *Set) AppendTo(dst []uint64) []uint64 {
if s == nil {
return dst
}
// pre-allocate memory for dst
dstLen := len(dst)
if n := s.Len() - cap(dst) + dstLen; n > 0 {
dst = append(dst[:cap(dst)], make([]uint64, n)...)
dst = dst[:dstLen]
}
s.sort()
for i := range s.buckets {
dst = s.buckets[i].appendTo(dst)
}
return dst
}
func (s *Set) sort() {
// sort s.buckets if it isn't sorted yet
if !sort.IsSorted(&s.buckets) {
sort.Sort(&s.buckets)
}
}
// Union adds all the items from a to s.
func (s *Set) Union(a *Set) {
s.union(a, false)
}
// UnionMayOwn adds all the items from a to s.
//
// It may own a if s is empty. This means that `a` cannot be used
// after the call to UnionMayOwn.
func (s *Set) UnionMayOwn(a *Set) {
s.union(a, true)
}
func (s *Set) union(a *Set, mayOwn bool) {
if a.Len() == 0 {
// Fast path - nothing to union.
return
}
if s.Len() == 0 {
// Fast path - copy `a` to `s`.
if !mayOwn {
a = a.Clone()
}
*s = *a
return
}
// Make shallow copy of `a`, since it can be modified by a.sort().
if !mayOwn {
a = a.cloneShallow()
}
a.sort()
s.sort()
i := 0
j := 0
sBucketsLen := len(s.buckets)
for {
for i < sBucketsLen && j < len(a.buckets) && s.buckets[i].hi < a.buckets[j].hi {
i++
}
if i >= sBucketsLen {
for j < len(a.buckets) {
b32 := s.addBucket32()
a.buckets[j].copyTo(b32)
j++
}
break
}
for j < len(a.buckets) && a.buckets[j].hi < s.buckets[i].hi {
b32 := s.addBucket32()
a.buckets[j].copyTo(b32)
j++
}
if j >= len(a.buckets) {
break
}
if s.buckets[i].hi == a.buckets[j].hi {
s.buckets[i].union(&a.buckets[j], mayOwn)
i++
j++
}
}
s.fixItemsCount()
}
// Intersect removes all the items missing in a from s.
func (s *Set) Intersect(a *Set) {
if s.Len() == 0 || a.Len() == 0 {
// Fast path - the result is empty.
*s = Set{}
return
}
// Make shallow copy of `a`, since it can be modified by a.sort().
a = a.cloneShallow()
a.sort()
s.sort()
i := 0
j := 0
for {
for i < len(s.buckets) && j < len(a.buckets) && s.buckets[i].hi < a.buckets[j].hi {
s.buckets[i] = bucket32{}
i++
}
if i >= len(s.buckets) {
break
}
for j < len(a.buckets) && a.buckets[j].hi < s.buckets[i].hi {
j++
}
if j >= len(a.buckets) {
for i < len(s.buckets) {
s.buckets[i] = bucket32{}
i++
}
break
}
if s.buckets[i].hi == a.buckets[j].hi {
s.buckets[i].intersect(&a.buckets[j])
i++
j++
}
}
s.fixItemsCount()
}
// Subtract removes from s all the shared items between s and a.
func (s *Set) Subtract(a *Set) {
if s.Len() == 0 || a.Len() == 0 {
// Fast path - nothing to subtract.
return
}
a.ForEach(func(part []uint64) bool {
for _, x := range part {
s.Del(x)
}
return true
})
}
// Equal returns true if s contains the same items as a.
func (s *Set) Equal(a *Set) bool {
if s.Len() != a.Len() {
return false
}
equal := true
a.ForEach(func(part []uint64) bool {
for _, x := range part {
if !s.Has(x) {
equal = false
return false
}
}
return true
})
return equal
}
// ForEach calls f for all the items stored in s.
//
// Each call to f contains part with arbitrary part of items stored in the set.
// The iteration is stopped if f returns false.
func (s *Set) ForEach(f func(part []uint64) bool) {
if s == nil {
return
}
for i := range s.buckets {
if !s.buckets[i].forEach(f) {
return
}
}
}
type bucket32 struct {
hi uint32
// hint may contain bucket index for the last successful operation.
// This allows saving CPU time on subsequent calls to the same bucket.
hint uint32
// b16his contains high 16 bits for each bucket in buckets.
//
// It is always sorted.
b16his []uint16
// buckets are sorted by b16his
buckets []*bucket16
}
func (b *bucket32) getLen() int {
n := 0
for i := range b.buckets {
n += b.buckets[i].getLen()
}
return n
}
func (b *bucket32) union(a *bucket32, mayOwn bool) {
i := 0
j := 0
bBucketsLen := len(b.buckets)
for {
for i < bBucketsLen && j < len(a.b16his) && b.b16his[i] < a.b16his[j] {
i++
}
if i >= bBucketsLen {
for j < len(a.b16his) {
b16 := b.addBucket16(a.b16his[j])
if mayOwn {
*b16 = *a.buckets[j]
} else {
a.buckets[j].copyTo(b16)
}
j++
}
break
}
for j < len(a.b16his) && a.b16his[j] < b.b16his[i] {
b16 := b.addBucket16(a.b16his[j])
if mayOwn {
*b16 = *a.buckets[j]
} else {
a.buckets[j].copyTo(b16)
}
j++
}
if j >= len(a.b16his) {
break
}
if b.b16his[i] == a.b16his[j] {
b.buckets[i].union(a.buckets[j])
i++
j++
}
}
// Restore buckets order, which could be violated during the merge above.
if !sort.IsSorted(b) {
sort.Sort(b)
}
}
// This is for sort.Interface used in bucket32.union
func (b *bucket32) Len() int { return len(b.b16his) }
func (b *bucket32) Less(i, j int) bool { return b.b16his[i] < b.b16his[j] }
func (b *bucket32) Swap(i, j int) {
his := b.b16his
buckets := b.buckets
his[i], his[j] = his[j], his[i]
buckets[i], buckets[j] = buckets[j], buckets[i]
}
func (b *bucket32) intersect(a *bucket32) {
i := 0
j := 0
for {
for i < len(b.b16his) && j < len(a.b16his) && b.b16his[i] < a.b16his[j] {
*b.buckets[i] = bucket16{}
i++
}
if i >= len(b.b16his) {
break
}
for j < len(a.b16his) && a.b16his[j] < b.b16his[i] {
j++
}
if j >= len(a.b16his) {
for i < len(b.b16his) {
*b.buckets[i] = bucket16{}
i++
}
break
}
if b.b16his[i] == a.b16his[j] {
b.buckets[i].intersect(a.buckets[j])
i++
j++
}
}
// Remove zero buckets
b16his := b.b16his[:0]
bs := b.buckets[:0]
for i, b16 := range b.buckets {
if b16.isZero() {
continue
}
b16his = append(b16his, b.b16his[i])
bs = append(bs, b16)
}
for i := len(bs); i < len(b.buckets); i++ {
b.buckets[i] = nil
}
b.hint = 0
b.b16his = b16his
b.buckets = bs
}
func (b *bucket32) forEach(f func(part []uint64) bool) bool {
xbuf := partBufPool.Get().(*[]uint64)
buf := *xbuf
for i, b16 := range b.buckets {
hi16 := b.b16his[i]
buf = b16.appendTo(buf[:0], b.hi, hi16)
if !f(buf) {
return false
}
}
*xbuf = buf
partBufPool.Put(xbuf)
return true
}
var partBufPool = &sync.Pool{
New: func() interface{} {
buf := make([]uint64, 0, bitsPerBucket)
return &buf
},
}
func (b *bucket32) sizeBytes() uint64 {
n := uint64(unsafe.Sizeof(*b))
n += 2 * uint64(len(b.b16his))
for _, b16 := range b.buckets {
n += b16.sizeBytes()
}
return n
}
func (b *bucket32) copyTo(dst *bucket32) {
dst.hi = b.hi
dst.b16his = append(dst.b16his[:0], b.b16his...)
// Do not reuse dst.buckets, since it may be used in other places.
dst.buckets = nil
if len(b.buckets) > 0 {
dst.buckets = make([]*bucket16, len(b.buckets))
for i, b16 := range b.buckets {
b16Dst := &bucket16{}
b16.copyTo(b16Dst)
dst.buckets[i] = b16Dst
}
}
}
func (b *bucket32) getHint() uint32 {
return atomic.LoadUint32(&b.hint)
}
func (b *bucket32) setHint(n int) {
atomic.StoreUint32(&b.hint, uint32(n))
}
func (b *bucket32) add(x uint32) bool {
hi := uint16(x >> 16)
lo := uint16(x)
his := b.b16his
if n := b.getHint(); n < uint32(len(his)) && his[n] == hi {
// Fast path - add to the previously used bucket.
bs := b.buckets
return n < uint32(len(bs)) && bs[n].add(lo)
}
return b.addSlow(hi, lo)
}
func (b *bucket32) addMulti(a []uint64) int {
if len(a) == 0 {
return 0
}
count := 0
hiPrev := uint16(a[0] >> 16)
i := 0
for j, x := range a {
hi := uint16(x >> 16)
if hi == hiPrev {
continue
}
b16 := b.getOrCreateBucket16(hiPrev)
count += b16.addMulti(a[i:j])
hiPrev = hi
i = j
}
b16 := b.getOrCreateBucket16(hiPrev)
count += b16.addMulti(a[i:])
return count
}
func (b *bucket32) getOrCreateBucket16(hi uint16) *bucket16 {
his := b.b16his
bs := b.buckets
n := binarySearch16(his, hi)
if n < 0 || n >= len(his) || his[n] != hi {
return b.addBucketAtPos(hi, n)
}
return bs[n]
}
func (b *bucket32) addSlow(hi, lo uint16) bool {
his := b.b16his
n := binarySearch16(his, hi)
if n < 0 || n >= len(his) || his[n] != hi {
b16 := b.addBucketAtPos(hi, n)
b16.add(lo)
return true
}
b.setHint(n)
bs := b.buckets
return n < len(bs) && bs[n].add(lo)
}
func (b *bucket32) addBucket16(hi uint16) *bucket16 {
b.b16his = append(b.b16his, hi)
b.buckets = append(b.buckets, &bucket16{})
return b.buckets[len(b.buckets)-1]
}
func (b *bucket32) addBucketAtPos(hi uint16, pos int) *bucket16 {
if pos < 0 {
// This is a hint to Go compiler to remove automatic bounds checks below.
return nil
}
if pos >= len(b.b16his) {
return b.addBucket16(hi)
}
b.b16his = append(b.b16his[:pos+1], b.b16his[pos:]...)
b.b16his[pos] = hi
b.buckets = append(b.buckets[:pos+1], b.buckets[pos:]...)
b16 := &bucket16{}
b.buckets[pos] = b16
return b16
}
func (b *bucket32) has(x uint32) bool {
hi := uint16(x >> 16)
lo := uint16(x)
his := b.b16his
n := binarySearch16(his, hi)
if n < 0 || n >= len(his) || his[n] != hi {
return false
}
// Do not call b.setHint(n) here, since this may trash performance
// when many concurrent goroutines call b.has() method from many CPU cores.
bs := b.buckets
return n < len(bs) && bs[n].has(lo)
}
func (b *bucket32) del(x uint32) bool {
hi := uint16(x >> 16)
lo := uint16(x)
his := b.b16his
if n := b.getHint(); n < uint32(len(his)) && his[n] == hi {
// Fast path - use the bucket from the previous operation.
bs := b.buckets
return n < uint32(len(bs)) && bs[n].del(lo)
}
return b.delSlow(hi, lo)
}
func (b *bucket32) delSlow(hi, lo uint16) bool {
his := b.b16his
n := binarySearch16(his, hi)
if n < 0 || n >= len(his) || his[n] != hi {
return false
}
b.setHint(n)
bs := b.buckets
return n < len(bs) && bs[n].del(lo)
}
func (b *bucket32) appendTo(dst []uint64) []uint64 {
for i := range b.buckets {
hi16 := b.b16his[i]
dst = b.buckets[i].appendTo(dst, b.hi, hi16)
}
return dst
}
const (
bitsPerBucket = 1 << 16
wordsPerBucket = bitsPerBucket / 64
)
type bucket16 struct {
bits *[wordsPerBucket]uint64
smallPool [smallPoolSize]uint16
smallPoolLen int
}
const smallPoolSize = 56
func (b *bucket16) isZero() bool {
return b.bits == nil && b.smallPoolLen == 0
}
func (b *bucket16) getLen() int {
if b.bits == nil {
return b.smallPoolLen
}
n := 0
for _, x := range b.bits {
if x > 0 {
n += bits.OnesCount64(x)
}
}
return n
}
func (b *bucket16) union(a *bucket16) {
if a.bits != nil && b.bits != nil {
// Fast path - use bitwise ops.
ab := a.bits
bb := b.bits
_ = bb[len(ab)-1]
for i, ax := range ab {
bx := bb[i]
bx |= ax
bb[i] = bx
}
return
}
// Slow path
xbuf := partBufPool.Get().(*[]uint64)
buf := *xbuf
buf = a.appendTo(buf[:0], 0, 0)
for _, x := range buf {
x16 := uint16(x)
b.add(x16)
}
*xbuf = buf
partBufPool.Put(xbuf)
}
func (b *bucket16) intersect(a *bucket16) {
if a.bits != nil && b.bits != nil {
// Fast path - use bitwise ops
ab := a.bits
bb := b.bits
_ = bb[len(ab)-1]
for i, ax := range ab {
bx := bb[i]
bx &= ax
bb[i] = bx
}
return
}
// Slow path
xbuf := partBufPool.Get().(*[]uint64)
buf := *xbuf
buf = b.appendTo(buf[:0], 0, 0)
for _, x := range buf {
x16 := uint16(x)
if !a.has(x16) {
b.del(x16)
}
}
*xbuf = buf
partBufPool.Put(xbuf)
}
func (b *bucket16) sizeBytes() uint64 {
n := unsafe.Sizeof(*b)
if b.bits != nil {
n += unsafe.Sizeof(*b.bits)
}
return uint64(n)
}
func (b *bucket16) copyTo(dst *bucket16) {
// Do not reuse dst.bits, since it may be used in other places.
dst.bits = nil
if b.bits != nil {
bits := *b.bits
dst.bits = &bits
}
dst.smallPool = b.smallPool
dst.smallPoolLen = b.smallPoolLen
}
func (b *bucket16) add(x uint16) bool {
bits := b.bits
if bits == nil {
return b.addToSmallPool(x)
}
wordNum, bitMask := getWordNumBitMask(x)
ok := bits[wordNum]&bitMask == 0
if ok {
bits[wordNum] |= bitMask
}
return ok
}
func (b *bucket16) addMulti(a []uint64) int {
count := 0
if b.bits == nil {
// Slow path
for i, x := range a {
if b.add(uint16(x)) {
count++
}
if b.bits != nil {
a = a[i+1:]
goto fastPath
}
}
return count
}
fastPath:
bits := b.bits
for _, x := range a {
wordNum, bitMask := getWordNumBitMask(uint16(x))
if bits[wordNum]&bitMask == 0 {
bits[wordNum] |= bitMask
count++
}
}
return count
}
func (b *bucket16) addToSmallPool(x uint16) bool {
if b.hasInSmallPool(x) {
return false
}
sp := b.smallPool[:]
if b.smallPoolLen < len(sp) {
sp[b.smallPoolLen] = x
b.smallPoolLen++
return true
}
b.smallPoolLen = 0
var bits [wordsPerBucket]uint64
b.bits = &bits
for _, v := range sp[:] {
b.add(v)
}
b.add(x)
return true
}
func (b *bucket16) has(x uint16) bool {
if b.bits == nil {
return b.hasInSmallPool(x)
}
wordNum, bitMask := getWordNumBitMask(x)
return b.bits[wordNum]&bitMask != 0
}
func (b *bucket16) hasInSmallPool(x uint16) bool {
for _, v := range b.smallPool[:b.smallPoolLen] {
if v == x {
return true
}
}
return false
}
func (b *bucket16) del(x uint16) bool {
if b.bits == nil {
return b.delFromSmallPool(x)
}
wordNum, bitMask := getWordNumBitMask(x)
word := &b.bits[wordNum]
ok := *word&bitMask != 0
*word &^= bitMask
return ok
}
func (b *bucket16) delFromSmallPool(x uint16) bool {
sp := b.smallPool[:]
for i, v := range sp[:b.smallPoolLen] {
if v == x {
copy(sp[i:], sp[i+1:])
b.smallPoolLen--
return true
}
}
return false
}
func (b *bucket16) appendTo(dst []uint64, hi uint32, hi16 uint16) []uint64 {
hi64 := uint64(hi)<<32 | uint64(hi16)<<16
if b.bits == nil {
// Use smallPoolSorter instead of sort.Slice here in order to reduce memory allocations.
sps := smallPoolSorterPool.Get().(*smallPoolSorter)
// Sort a copy of b.smallPool, since b must be readonly in order to prevent from data races
// when b.appendTo is called from concurrent goroutines.
sps.smallPool = b.smallPool
sps.a = sps.smallPool[:b.smallPoolLen]
if len(sps.a) > 1 && !sort.IsSorted(sps) {
sort.Sort(sps)
}
for _, v := range sps.a {
x := hi64 | uint64(v)
dst = append(dst, x)
}
smallPoolSorterPool.Put(sps)
return dst
}
var wordNum uint64
for _, word := range b.bits {
if word == 0 {
wordNum++
continue
}
x64 := hi64 | (wordNum * 64)
for {
tzn := uint64(bits.TrailingZeros64(word))
if tzn >= 64 {
break
}
word &^= uint64(1) << tzn
x := x64 | tzn
dst = append(dst, x)
}
wordNum++
}
return dst
}
var smallPoolSorterPool = &sync.Pool{
New: func() interface{} {
return &smallPoolSorter{}
},
}
type smallPoolSorter struct {
smallPool [smallPoolSize]uint16
a []uint16
}
func (sps *smallPoolSorter) Len() int { return len(sps.a) }
func (sps *smallPoolSorter) Less(i, j int) bool {
a := sps.a
return a[i] < a[j]
}
func (sps *smallPoolSorter) Swap(i, j int) {
a := sps.a
a[i], a[j] = a[j], a[i]
}
func getWordNumBitMask(x uint16) (uint16, uint64) {
wordNum := x / 64
bitMask := uint64(1) << (x & 63)
return wordNum, bitMask
}
func binarySearch16(u16 []uint16, x uint16) int {
// The code has been adapted from sort.Search.
n := len(u16)
if n > 0 && u16[n-1] < x {
// Fast path for values scanned in ascending order.
return n
}
i, j := 0, n
for i < j {
h := int(uint(i+j) >> 1)
if h >= 0 && h < len(u16) && u16[h] < x {
i = h + 1
} else {
j = h
}
}
return i
}