2018-05-19 18:19:46 +05:30
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package roaring
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import (
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"fmt"
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"unsafe"
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)
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//go:generate msgp -unexported
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type bitmapContainer struct {
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cardinality int
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bitmap []uint64
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}
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func (bc bitmapContainer) String() string {
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var s string
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for it := bc.getShortIterator(); it.hasNext(); {
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s += fmt.Sprintf("%v, ", it.next())
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}
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return s
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}
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func newBitmapContainer() *bitmapContainer {
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p := new(bitmapContainer)
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size := (1 << 16) / 64
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p.bitmap = make([]uint64, size, size)
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return p
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}
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func newBitmapContainerwithRange(firstOfRun, lastOfRun int) *bitmapContainer {
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bc := newBitmapContainer()
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bc.cardinality = lastOfRun - firstOfRun + 1
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if bc.cardinality == maxCapacity {
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fill(bc.bitmap, uint64(0xffffffffffffffff))
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} else {
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firstWord := firstOfRun / 64
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lastWord := lastOfRun / 64
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zeroPrefixLength := uint64(firstOfRun & 63)
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zeroSuffixLength := uint64(63 - (lastOfRun & 63))
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fillRange(bc.bitmap, firstWord, lastWord+1, uint64(0xffffffffffffffff))
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bc.bitmap[firstWord] ^= ((uint64(1) << zeroPrefixLength) - 1)
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blockOfOnes := (uint64(1) << zeroSuffixLength) - 1
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maskOnLeft := blockOfOnes << (uint64(64) - zeroSuffixLength)
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bc.bitmap[lastWord] ^= maskOnLeft
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}
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return bc
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}
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func (bc *bitmapContainer) minimum() uint16 {
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for i := 0; i < len(bc.bitmap); i++ {
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w := bc.bitmap[i]
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if w != 0 {
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r := countTrailingZeros(w)
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return uint16(r + i*64)
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}
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}
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return MaxUint16
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}
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// i should be non-zero
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func clz(i uint64) int {
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n := 1
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x := uint32(i >> 32)
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if x == 0 {
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n += 32
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x = uint32(i)
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}
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if x>>16 == 0 {
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n += 16
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x = x << 16
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}
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if x>>24 == 0 {
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n += 8
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x = x << 8
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}
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if x>>28 == 0 {
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n += 4
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x = x << 4
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}
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if x>>30 == 0 {
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n += 2
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x = x << 2
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}
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return n - int(x>>31)
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}
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func (bc *bitmapContainer) maximum() uint16 {
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for i := len(bc.bitmap); i > 0; i-- {
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w := bc.bitmap[i-1]
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if w != 0 {
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r := clz(w)
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return uint16((i-1)*64 + 63 - r)
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}
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}
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return uint16(0)
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}
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2020-05-10 11:10:54 +05:30
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func (bc *bitmapContainer) iterate(cb func(x uint16) bool) bool {
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iterator := bitmapContainerShortIterator{bc, bc.NextSetBit(0)}
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for iterator.hasNext() {
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if !cb(iterator.next()) {
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return false
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}
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}
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return true
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}
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2018-05-19 18:19:46 +05:30
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type bitmapContainerShortIterator struct {
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ptr *bitmapContainer
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i int
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}
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func (bcsi *bitmapContainerShortIterator) next() uint16 {
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j := bcsi.i
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bcsi.i = bcsi.ptr.NextSetBit(bcsi.i + 1)
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return uint16(j)
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}
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func (bcsi *bitmapContainerShortIterator) hasNext() bool {
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return bcsi.i >= 0
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}
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2019-11-27 14:53:33 +05:30
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func (bcsi *bitmapContainerShortIterator) peekNext() uint16 {
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return uint16(bcsi.i)
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}
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func (bcsi *bitmapContainerShortIterator) advanceIfNeeded(minval uint16) {
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if bcsi.hasNext() && bcsi.peekNext() < minval {
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bcsi.i = bcsi.ptr.NextSetBit(int(minval))
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}
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}
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2018-05-19 18:19:46 +05:30
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func newBitmapContainerShortIterator(a *bitmapContainer) *bitmapContainerShortIterator {
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return &bitmapContainerShortIterator{a, a.NextSetBit(0)}
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}
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2019-11-27 14:53:33 +05:30
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func (bc *bitmapContainer) getShortIterator() shortPeekable {
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2018-05-19 18:19:46 +05:30
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return newBitmapContainerShortIterator(bc)
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}
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2019-11-27 14:53:33 +05:30
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type reverseBitmapContainerShortIterator struct {
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ptr *bitmapContainer
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i int
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}
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func (bcsi *reverseBitmapContainerShortIterator) next() uint16 {
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if bcsi.i == -1 {
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panic("reverseBitmapContainerShortIterator.next() going beyond what is available")
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}
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j := bcsi.i
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bcsi.i = bcsi.ptr.PrevSetBit(bcsi.i - 1)
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return uint16(j)
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}
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func (bcsi *reverseBitmapContainerShortIterator) hasNext() bool {
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return bcsi.i >= 0
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}
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func newReverseBitmapContainerShortIterator(a *bitmapContainer) *reverseBitmapContainerShortIterator {
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if a.cardinality == 0 {
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return &reverseBitmapContainerShortIterator{a, -1}
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}
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return &reverseBitmapContainerShortIterator{a, int(a.maximum())}
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}
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func (bc *bitmapContainer) getReverseIterator() shortIterable {
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return newReverseBitmapContainerShortIterator(bc)
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}
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2018-05-19 18:19:46 +05:30
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type bitmapContainerManyIterator struct {
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ptr *bitmapContainer
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base int
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bitset uint64
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}
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func (bcmi *bitmapContainerManyIterator) nextMany(hs uint32, buf []uint32) int {
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n := 0
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base := bcmi.base
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bitset := bcmi.bitset
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for n < len(buf) {
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if bitset == 0 {
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2019-11-27 14:53:33 +05:30
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base++
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2018-05-19 18:19:46 +05:30
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if base >= len(bcmi.ptr.bitmap) {
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bcmi.base = base
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bcmi.bitset = bitset
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return n
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}
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bitset = bcmi.ptr.bitmap[base]
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continue
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}
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t := bitset & -bitset
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buf[n] = uint32(((base * 64) + int(popcount(t-1)))) | hs
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n = n + 1
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bitset ^= t
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}
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bcmi.base = base
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bcmi.bitset = bitset
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return n
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}
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func newBitmapContainerManyIterator(a *bitmapContainer) *bitmapContainerManyIterator {
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return &bitmapContainerManyIterator{a, -1, 0}
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}
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func (bc *bitmapContainer) getManyIterator() manyIterable {
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return newBitmapContainerManyIterator(bc)
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}
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func (bc *bitmapContainer) getSizeInBytes() int {
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return len(bc.bitmap) * 8 // + bcBaseBytes
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}
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func (bc *bitmapContainer) serializedSizeInBytes() int {
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//return bc.Msgsize()// NOO! This breaks GetSerializedSizeInBytes
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return len(bc.bitmap) * 8
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}
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const bcBaseBytes = int(unsafe.Sizeof(bitmapContainer{}))
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// bitmapContainer doesn't depend on card, always fully allocated
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func bitmapContainerSizeInBytes() int {
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return bcBaseBytes + (1<<16)/8
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}
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func bitmapEquals(a, b []uint64) bool {
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if len(a) != len(b) {
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return false
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}
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for i, v := range a {
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if v != b[i] {
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return false
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}
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}
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return true
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}
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func (bc *bitmapContainer) fillLeastSignificant16bits(x []uint32, i int, mask uint32) {
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// TODO: should be written as optimized assembly
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pos := i
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base := mask
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for k := 0; k < len(bc.bitmap); k++ {
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bitset := bc.bitmap[k]
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for bitset != 0 {
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t := bitset & -bitset
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x[pos] = base + uint32(popcount(t-1))
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pos++
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bitset ^= t
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}
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base += 64
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}
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}
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func (bc *bitmapContainer) equals(o container) bool {
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srb, ok := o.(*bitmapContainer)
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if ok {
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if srb.cardinality != bc.cardinality {
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return false
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}
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return bitmapEquals(bc.bitmap, srb.bitmap)
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}
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// use generic comparison
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if bc.getCardinality() != o.getCardinality() {
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return false
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}
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ait := o.getShortIterator()
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bit := bc.getShortIterator()
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for ait.hasNext() {
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if bit.next() != ait.next() {
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return false
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}
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}
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return true
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}
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func (bc *bitmapContainer) iaddReturnMinimized(i uint16) container {
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bc.iadd(i)
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if bc.isFull() {
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return newRunContainer16Range(0, MaxUint16)
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}
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return bc
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}
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func (bc *bitmapContainer) iadd(i uint16) bool {
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x := int(i)
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previous := bc.bitmap[x/64]
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mask := uint64(1) << (uint(x) % 64)
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newb := previous | mask
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bc.bitmap[x/64] = newb
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bc.cardinality += int((previous ^ newb) >> (uint(x) % 64))
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return newb != previous
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}
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func (bc *bitmapContainer) iremoveReturnMinimized(i uint16) container {
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if bc.iremove(i) {
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if bc.cardinality == arrayDefaultMaxSize {
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return bc.toArrayContainer()
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}
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}
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return bc
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}
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// iremove returns true if i was found.
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func (bc *bitmapContainer) iremove(i uint16) bool {
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if bc.contains(i) {
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bc.cardinality--
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bc.bitmap[i/64] &^= (uint64(1) << (i % 64))
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return true
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}
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return false
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}
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func (bc *bitmapContainer) isFull() bool {
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return bc.cardinality == int(MaxUint16)+1
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}
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func (bc *bitmapContainer) getCardinality() int {
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return bc.cardinality
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}
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func (bc *bitmapContainer) clone() container {
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ptr := bitmapContainer{bc.cardinality, make([]uint64, len(bc.bitmap))}
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copy(ptr.bitmap, bc.bitmap[:])
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return &ptr
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}
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// add all values in range [firstOfRange,lastOfRange)
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func (bc *bitmapContainer) iaddRange(firstOfRange, lastOfRange int) container {
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bc.cardinality += setBitmapRangeAndCardinalityChange(bc.bitmap, firstOfRange, lastOfRange)
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return bc
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}
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// remove all values in range [firstOfRange,lastOfRange)
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func (bc *bitmapContainer) iremoveRange(firstOfRange, lastOfRange int) container {
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bc.cardinality += resetBitmapRangeAndCardinalityChange(bc.bitmap, firstOfRange, lastOfRange)
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if bc.getCardinality() <= arrayDefaultMaxSize {
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return bc.toArrayContainer()
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}
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return bc
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}
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// flip all values in range [firstOfRange,endx)
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func (bc *bitmapContainer) inot(firstOfRange, endx int) container {
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if endx-firstOfRange == maxCapacity {
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flipBitmapRange(bc.bitmap, firstOfRange, endx)
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bc.cardinality = maxCapacity - bc.cardinality
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} else if endx-firstOfRange > maxCapacity/2 {
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flipBitmapRange(bc.bitmap, firstOfRange, endx)
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bc.computeCardinality()
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} else {
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bc.cardinality += flipBitmapRangeAndCardinalityChange(bc.bitmap, firstOfRange, endx)
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}
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if bc.getCardinality() <= arrayDefaultMaxSize {
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return bc.toArrayContainer()
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}
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return bc
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}
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// flip all values in range [firstOfRange,endx)
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func (bc *bitmapContainer) not(firstOfRange, endx int) container {
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answer := bc.clone()
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return answer.inot(firstOfRange, endx)
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}
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func (bc *bitmapContainer) or(a container) container {
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switch x := a.(type) {
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case *arrayContainer:
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return bc.orArray(x)
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case *bitmapContainer:
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return bc.orBitmap(x)
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case *runContainer16:
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if x.isFull() {
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return x.clone()
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}
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return x.orBitmapContainer(bc)
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}
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panic("unsupported container type")
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}
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func (bc *bitmapContainer) orCardinality(a container) int {
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switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.orArrayCardinality(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.orBitmapCardinality(x)
|
|
|
|
case *runContainer16:
|
|
|
|
return x.orBitmapContainerCardinality(bc)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) ior(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.iorArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.iorBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
if x.isFull() {
|
|
|
|
return x.clone()
|
|
|
|
}
|
|
|
|
for i := range x.iv {
|
|
|
|
bc.iaddRange(int(x.iv[i].start), int(x.iv[i].last())+1)
|
|
|
|
}
|
|
|
|
if bc.isFull() {
|
|
|
|
return newRunContainer16Range(0, MaxUint16)
|
|
|
|
}
|
|
|
|
//bc.computeCardinality()
|
|
|
|
return bc
|
|
|
|
}
|
|
|
|
panic(fmt.Errorf("unsupported container type %T", a))
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) lazyIOR(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.lazyIORArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.lazyIORBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
if x.isFull() {
|
|
|
|
return x.clone()
|
|
|
|
}
|
|
|
|
|
|
|
|
// Manually inlined setBitmapRange function
|
|
|
|
bitmap := bc.bitmap
|
|
|
|
for _, iv := range x.iv {
|
|
|
|
start := int(iv.start)
|
|
|
|
end := int(iv.last()) + 1
|
|
|
|
if start >= end {
|
|
|
|
continue
|
|
|
|
}
|
|
|
|
firstword := start / 64
|
|
|
|
endword := (end - 1) / 64
|
|
|
|
if firstword == endword {
|
|
|
|
bitmap[firstword] |= (^uint64(0) << uint(start%64)) & (^uint64(0) >> (uint(-end) % 64))
|
|
|
|
continue
|
|
|
|
}
|
|
|
|
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)
|
|
|
|
}
|
|
|
|
bc.cardinality = invalidCardinality
|
|
|
|
return bc
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) lazyOR(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.lazyORArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.lazyORBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
if x.isFull() {
|
|
|
|
return x.clone()
|
|
|
|
}
|
|
|
|
// TODO: implement lazy OR
|
|
|
|
return x.orBitmapContainer(bc)
|
|
|
|
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) orArray(value2 *arrayContainer) container {
|
|
|
|
answer := bc.clone().(*bitmapContainer)
|
|
|
|
c := value2.getCardinality()
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
v := value2.content[k]
|
|
|
|
i := uint(v) >> 6
|
|
|
|
bef := answer.bitmap[i]
|
|
|
|
aft := bef | (uint64(1) << (v % 64))
|
|
|
|
answer.bitmap[i] = aft
|
|
|
|
answer.cardinality += int((bef - aft) >> 63)
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) orArrayCardinality(value2 *arrayContainer) int {
|
|
|
|
answer := 0
|
|
|
|
c := value2.getCardinality()
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
// branchless:
|
|
|
|
v := value2.content[k]
|
|
|
|
i := uint(v) >> 6
|
|
|
|
bef := bc.bitmap[i]
|
|
|
|
aft := bef | (uint64(1) << (v % 64))
|
|
|
|
answer += int((bef - aft) >> 63)
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) orBitmap(value2 *bitmapContainer) container {
|
|
|
|
answer := newBitmapContainer()
|
|
|
|
for k := 0; k < len(answer.bitmap); k++ {
|
|
|
|
answer.bitmap[k] = bc.bitmap[k] | value2.bitmap[k]
|
|
|
|
}
|
|
|
|
answer.computeCardinality()
|
|
|
|
if answer.isFull() {
|
|
|
|
return newRunContainer16Range(0, MaxUint16)
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) orBitmapCardinality(value2 *bitmapContainer) int {
|
|
|
|
return int(popcntOrSlice(bc.bitmap, value2.bitmap))
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andBitmapCardinality(value2 *bitmapContainer) int {
|
|
|
|
return int(popcntAndSlice(bc.bitmap, value2.bitmap))
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) computeCardinality() {
|
|
|
|
bc.cardinality = int(popcntSlice(bc.bitmap))
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iorArray(ac *arrayContainer) container {
|
|
|
|
for k := range ac.content {
|
|
|
|
vc := ac.content[k]
|
|
|
|
i := uint(vc) >> 6
|
|
|
|
bef := bc.bitmap[i]
|
|
|
|
aft := bef | (uint64(1) << (vc % 64))
|
|
|
|
bc.bitmap[i] = aft
|
|
|
|
bc.cardinality += int((bef - aft) >> 63)
|
|
|
|
}
|
|
|
|
if bc.isFull() {
|
|
|
|
return newRunContainer16Range(0, MaxUint16)
|
|
|
|
}
|
|
|
|
return bc
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iorBitmap(value2 *bitmapContainer) container {
|
|
|
|
answer := bc
|
|
|
|
answer.cardinality = 0
|
|
|
|
for k := 0; k < len(answer.bitmap); k++ {
|
|
|
|
answer.bitmap[k] = bc.bitmap[k] | value2.bitmap[k]
|
|
|
|
}
|
|
|
|
answer.computeCardinality()
|
|
|
|
if bc.isFull() {
|
|
|
|
return newRunContainer16Range(0, MaxUint16)
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) lazyIORArray(value2 *arrayContainer) container {
|
|
|
|
answer := bc
|
|
|
|
c := value2.getCardinality()
|
2019-11-27 14:53:33 +05:30
|
|
|
for k := 0; k+3 < c; k += 4 {
|
|
|
|
content := (*[4]uint16)(unsafe.Pointer(&value2.content[k]))
|
|
|
|
vc0 := content[0]
|
|
|
|
i0 := uint(vc0) >> 6
|
|
|
|
answer.bitmap[i0] = answer.bitmap[i0] | (uint64(1) << (vc0 % 64))
|
|
|
|
|
|
|
|
vc1 := content[1]
|
|
|
|
i1 := uint(vc1) >> 6
|
|
|
|
answer.bitmap[i1] = answer.bitmap[i1] | (uint64(1) << (vc1 % 64))
|
|
|
|
|
|
|
|
vc2 := content[2]
|
|
|
|
i2 := uint(vc2) >> 6
|
|
|
|
answer.bitmap[i2] = answer.bitmap[i2] | (uint64(1) << (vc2 % 64))
|
|
|
|
|
|
|
|
vc3 := content[3]
|
|
|
|
i3 := uint(vc3) >> 6
|
|
|
|
answer.bitmap[i3] = answer.bitmap[i3] | (uint64(1) << (vc3 % 64))
|
|
|
|
}
|
|
|
|
|
|
|
|
for k := c &^ 3; k < c; k++ {
|
2018-05-19 18:19:46 +05:30
|
|
|
vc := value2.content[k]
|
|
|
|
i := uint(vc) >> 6
|
|
|
|
answer.bitmap[i] = answer.bitmap[i] | (uint64(1) << (vc % 64))
|
|
|
|
}
|
2019-11-27 14:53:33 +05:30
|
|
|
|
2018-05-19 18:19:46 +05:30
|
|
|
answer.cardinality = invalidCardinality
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) lazyORArray(value2 *arrayContainer) container {
|
|
|
|
answer := bc.clone().(*bitmapContainer)
|
|
|
|
return answer.lazyIORArray(value2)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) lazyIORBitmap(value2 *bitmapContainer) container {
|
|
|
|
answer := bc
|
|
|
|
for k := 0; k < len(answer.bitmap); k++ {
|
|
|
|
answer.bitmap[k] = bc.bitmap[k] | value2.bitmap[k]
|
|
|
|
}
|
|
|
|
bc.cardinality = invalidCardinality
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) lazyORBitmap(value2 *bitmapContainer) container {
|
|
|
|
answer := bc.clone().(*bitmapContainer)
|
|
|
|
return answer.lazyIORBitmap(value2)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) xor(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.xorArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.xorBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
return x.xorBitmap(bc)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) xorArray(value2 *arrayContainer) container {
|
|
|
|
answer := bc.clone().(*bitmapContainer)
|
|
|
|
c := value2.getCardinality()
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
vc := value2.content[k]
|
|
|
|
index := uint(vc) >> 6
|
|
|
|
abi := answer.bitmap[index]
|
|
|
|
mask := uint64(1) << (vc % 64)
|
|
|
|
answer.cardinality += 1 - 2*int((abi&mask)>>(vc%64))
|
|
|
|
answer.bitmap[index] = abi ^ mask
|
|
|
|
}
|
|
|
|
if answer.cardinality <= arrayDefaultMaxSize {
|
|
|
|
return answer.toArrayContainer()
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) rank(x uint16) int {
|
|
|
|
// TODO: rewrite in assembly
|
|
|
|
leftover := (uint(x) + 1) & 63
|
|
|
|
if leftover == 0 {
|
|
|
|
return int(popcntSlice(bc.bitmap[:(uint(x)+1)/64]))
|
|
|
|
}
|
|
|
|
return int(popcntSlice(bc.bitmap[:(uint(x)+1)/64]) + popcount(bc.bitmap[(uint(x)+1)/64]<<(64-leftover)))
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) selectInt(x uint16) int {
|
|
|
|
remaining := x
|
|
|
|
for k := 0; k < len(bc.bitmap); k++ {
|
|
|
|
w := popcount(bc.bitmap[k])
|
|
|
|
if uint16(w) > remaining {
|
|
|
|
return k*64 + selectBitPosition(bc.bitmap[k], int(remaining))
|
|
|
|
}
|
|
|
|
remaining -= uint16(w)
|
|
|
|
}
|
|
|
|
return -1
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) xorBitmap(value2 *bitmapContainer) container {
|
|
|
|
newCardinality := int(popcntXorSlice(bc.bitmap, value2.bitmap))
|
|
|
|
|
|
|
|
if newCardinality > arrayDefaultMaxSize {
|
|
|
|
answer := newBitmapContainer()
|
|
|
|
for k := 0; k < len(answer.bitmap); k++ {
|
|
|
|
answer.bitmap[k] = bc.bitmap[k] ^ value2.bitmap[k]
|
|
|
|
}
|
|
|
|
answer.cardinality = newCardinality
|
|
|
|
if answer.isFull() {
|
|
|
|
return newRunContainer16Range(0, MaxUint16)
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
ac := newArrayContainerSize(newCardinality)
|
|
|
|
fillArrayXOR(ac.content, bc.bitmap, value2.bitmap)
|
|
|
|
ac.content = ac.content[:newCardinality]
|
|
|
|
return ac
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) and(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.andArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.andBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
if x.isFull() {
|
|
|
|
return bc.clone()
|
|
|
|
}
|
|
|
|
return x.andBitmapContainer(bc)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andCardinality(a container) int {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.andArrayCardinality(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.andBitmapCardinality(x)
|
|
|
|
case *runContainer16:
|
|
|
|
return x.andBitmapContainerCardinality(bc)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) intersects(a container) bool {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.intersectsArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.intersectsBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
return x.intersects(bc)
|
|
|
|
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iand(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.iandArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.iandBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
if x.isFull() {
|
|
|
|
return bc.clone()
|
|
|
|
}
|
|
|
|
return bc.iandRun16(x)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iandRun16(rc *runContainer16) container {
|
|
|
|
rcb := newBitmapContainerFromRun(rc)
|
|
|
|
return bc.iandBitmap(rcb)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iandArray(ac *arrayContainer) container {
|
|
|
|
acb := ac.toBitmapContainer()
|
|
|
|
return bc.iandBitmap(acb)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andArray(value2 *arrayContainer) *arrayContainer {
|
|
|
|
answer := newArrayContainerCapacity(len(value2.content))
|
|
|
|
answer.content = answer.content[:cap(answer.content)]
|
|
|
|
c := value2.getCardinality()
|
|
|
|
pos := 0
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
v := value2.content[k]
|
|
|
|
answer.content[pos] = v
|
|
|
|
pos += int(bc.bitValue(v))
|
|
|
|
}
|
|
|
|
answer.content = answer.content[:pos]
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andArrayCardinality(value2 *arrayContainer) int {
|
|
|
|
c := value2.getCardinality()
|
|
|
|
pos := 0
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
v := value2.content[k]
|
|
|
|
pos += int(bc.bitValue(v))
|
|
|
|
}
|
|
|
|
return pos
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) getCardinalityInRange(start, end uint) int {
|
|
|
|
if start >= end {
|
|
|
|
return 0
|
|
|
|
}
|
|
|
|
firstword := start / 64
|
|
|
|
endword := (end - 1) / 64
|
|
|
|
const allones = ^uint64(0)
|
|
|
|
if firstword == endword {
|
|
|
|
return int(popcount(bc.bitmap[firstword] & ((allones << (start % 64)) & (allones >> ((64 - end) & 63)))))
|
|
|
|
}
|
|
|
|
answer := popcount(bc.bitmap[firstword] & (allones << (start % 64)))
|
|
|
|
answer += popcntSlice(bc.bitmap[firstword+1 : endword])
|
|
|
|
answer += popcount(bc.bitmap[endword] & (allones >> ((64 - end) & 63)))
|
|
|
|
return int(answer)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andBitmap(value2 *bitmapContainer) container {
|
|
|
|
newcardinality := int(popcntAndSlice(bc.bitmap, value2.bitmap))
|
|
|
|
if newcardinality > arrayDefaultMaxSize {
|
|
|
|
answer := newBitmapContainer()
|
|
|
|
for k := 0; k < len(answer.bitmap); k++ {
|
|
|
|
answer.bitmap[k] = bc.bitmap[k] & value2.bitmap[k]
|
|
|
|
}
|
|
|
|
answer.cardinality = newcardinality
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
ac := newArrayContainerSize(newcardinality)
|
|
|
|
fillArrayAND(ac.content, bc.bitmap, value2.bitmap)
|
|
|
|
ac.content = ac.content[:newcardinality] //not sure why i need this
|
|
|
|
return ac
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) intersectsArray(value2 *arrayContainer) bool {
|
|
|
|
c := value2.getCardinality()
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
v := value2.content[k]
|
|
|
|
if bc.contains(v) {
|
|
|
|
return true
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return false
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) intersectsBitmap(value2 *bitmapContainer) bool {
|
|
|
|
for k := 0; k < len(bc.bitmap); k++ {
|
|
|
|
if (bc.bitmap[k] & value2.bitmap[k]) != 0 {
|
|
|
|
return true
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return false
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iandBitmap(value2 *bitmapContainer) container {
|
|
|
|
newcardinality := int(popcntAndSlice(bc.bitmap, value2.bitmap))
|
|
|
|
for k := 0; k < len(bc.bitmap); k++ {
|
|
|
|
bc.bitmap[k] = bc.bitmap[k] & value2.bitmap[k]
|
|
|
|
}
|
|
|
|
bc.cardinality = newcardinality
|
|
|
|
|
|
|
|
if newcardinality <= arrayDefaultMaxSize {
|
|
|
|
return newArrayContainerFromBitmap(bc)
|
|
|
|
}
|
|
|
|
return bc
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andNot(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.andNotArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.andNotBitmap(x)
|
|
|
|
case *runContainer16:
|
|
|
|
return bc.andNotRun16(x)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andNotRun16(rc *runContainer16) container {
|
|
|
|
rcb := rc.toBitmapContainer()
|
|
|
|
return bc.andNotBitmap(rcb)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iandNot(a container) container {
|
|
|
|
switch x := a.(type) {
|
|
|
|
case *arrayContainer:
|
|
|
|
return bc.iandNotArray(x)
|
|
|
|
case *bitmapContainer:
|
|
|
|
return bc.iandNotBitmapSurely(x)
|
|
|
|
case *runContainer16:
|
|
|
|
return bc.iandNotRun16(x)
|
|
|
|
}
|
|
|
|
panic("unsupported container type")
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iandNotArray(ac *arrayContainer) container {
|
|
|
|
acb := ac.toBitmapContainer()
|
|
|
|
return bc.iandNotBitmapSurely(acb)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) iandNotRun16(rc *runContainer16) container {
|
|
|
|
rcb := rc.toBitmapContainer()
|
|
|
|
return bc.iandNotBitmapSurely(rcb)
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andNotArray(value2 *arrayContainer) container {
|
|
|
|
answer := bc.clone().(*bitmapContainer)
|
|
|
|
c := value2.getCardinality()
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
vc := value2.content[k]
|
|
|
|
i := uint(vc) >> 6
|
|
|
|
oldv := answer.bitmap[i]
|
|
|
|
newv := oldv &^ (uint64(1) << (vc % 64))
|
|
|
|
answer.bitmap[i] = newv
|
|
|
|
answer.cardinality -= int((oldv ^ newv) >> (vc % 64))
|
|
|
|
}
|
|
|
|
if answer.cardinality <= arrayDefaultMaxSize {
|
|
|
|
return answer.toArrayContainer()
|
|
|
|
}
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) andNotBitmap(value2 *bitmapContainer) container {
|
|
|
|
newCardinality := int(popcntMaskSlice(bc.bitmap, value2.bitmap))
|
|
|
|
if newCardinality > arrayDefaultMaxSize {
|
|
|
|
answer := newBitmapContainer()
|
|
|
|
for k := 0; k < len(answer.bitmap); k++ {
|
|
|
|
answer.bitmap[k] = bc.bitmap[k] &^ value2.bitmap[k]
|
|
|
|
}
|
|
|
|
answer.cardinality = newCardinality
|
|
|
|
return answer
|
|
|
|
}
|
|
|
|
ac := newArrayContainerSize(newCardinality)
|
|
|
|
fillArrayANDNOT(ac.content, bc.bitmap, value2.bitmap)
|
|
|
|
return ac
|
|
|
|
}
|
|
|
|
|
2019-11-27 14:53:33 +05:30
|
|
|
func (bc *bitmapContainer) iandNotBitmapSurely(value2 *bitmapContainer) container {
|
2018-05-19 18:19:46 +05:30
|
|
|
newCardinality := int(popcntMaskSlice(bc.bitmap, value2.bitmap))
|
|
|
|
for k := 0; k < len(bc.bitmap); k++ {
|
|
|
|
bc.bitmap[k] = bc.bitmap[k] &^ value2.bitmap[k]
|
|
|
|
}
|
|
|
|
bc.cardinality = newCardinality
|
2019-11-27 14:53:33 +05:30
|
|
|
if bc.getCardinality() <= arrayDefaultMaxSize {
|
|
|
|
return bc.toArrayContainer()
|
|
|
|
}
|
2018-05-19 18:19:46 +05:30
|
|
|
return bc
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) contains(i uint16) bool { //testbit
|
|
|
|
x := uint(i)
|
|
|
|
w := bc.bitmap[x>>6]
|
|
|
|
mask := uint64(1) << (x & 63)
|
|
|
|
return (w & mask) != 0
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) bitValue(i uint16) uint64 {
|
|
|
|
x := uint(i)
|
|
|
|
w := bc.bitmap[x>>6]
|
|
|
|
return (w >> (x & 63)) & 1
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) loadData(arrayContainer *arrayContainer) {
|
|
|
|
bc.cardinality = arrayContainer.getCardinality()
|
|
|
|
c := arrayContainer.getCardinality()
|
|
|
|
for k := 0; k < c; k++ {
|
|
|
|
x := arrayContainer.content[k]
|
|
|
|
i := int(x) / 64
|
|
|
|
bc.bitmap[i] |= (uint64(1) << uint(x%64))
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) toArrayContainer() *arrayContainer {
|
|
|
|
ac := &arrayContainer{}
|
|
|
|
ac.loadData(bc)
|
|
|
|
return ac
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) fillArray(container []uint16) {
|
|
|
|
//TODO: rewrite in assembly
|
|
|
|
pos := 0
|
|
|
|
base := 0
|
|
|
|
for k := 0; k < len(bc.bitmap); k++ {
|
|
|
|
bitset := bc.bitmap[k]
|
|
|
|
for bitset != 0 {
|
|
|
|
t := bitset & -bitset
|
|
|
|
container[pos] = uint16((base + int(popcount(t-1))))
|
|
|
|
pos = pos + 1
|
|
|
|
bitset ^= t
|
|
|
|
}
|
|
|
|
base += 64
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) NextSetBit(i int) int {
|
|
|
|
x := i / 64
|
|
|
|
if x >= len(bc.bitmap) {
|
|
|
|
return -1
|
|
|
|
}
|
|
|
|
w := bc.bitmap[x]
|
|
|
|
w = w >> uint(i%64)
|
|
|
|
if w != 0 {
|
|
|
|
return i + countTrailingZeros(w)
|
|
|
|
}
|
|
|
|
x++
|
|
|
|
for ; x < len(bc.bitmap); x++ {
|
|
|
|
if bc.bitmap[x] != 0 {
|
|
|
|
return (x * 64) + countTrailingZeros(bc.bitmap[x])
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return -1
|
|
|
|
}
|
|
|
|
|
2019-11-27 14:53:33 +05:30
|
|
|
func (bc *bitmapContainer) PrevSetBit(i int) int {
|
|
|
|
if i < 0 {
|
|
|
|
return -1
|
|
|
|
}
|
|
|
|
x := i / 64
|
|
|
|
if x >= len(bc.bitmap) {
|
|
|
|
return -1
|
|
|
|
}
|
|
|
|
|
|
|
|
w := bc.bitmap[x]
|
|
|
|
|
|
|
|
b := i % 64
|
|
|
|
|
|
|
|
w = w << uint(63-b)
|
|
|
|
if w != 0 {
|
|
|
|
return i - countLeadingZeros(w)
|
|
|
|
}
|
|
|
|
x--
|
|
|
|
for ; x >= 0; x-- {
|
|
|
|
if bc.bitmap[x] != 0 {
|
|
|
|
return (x * 64) + 63 - countLeadingZeros(bc.bitmap[x])
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return -1
|
|
|
|
}
|
|
|
|
|
2018-05-19 18:19:46 +05:30
|
|
|
// reference the java implementation
|
|
|
|
// https://github.com/RoaringBitmap/RoaringBitmap/blob/master/src/main/java/org/roaringbitmap/BitmapContainer.java#L875-L892
|
|
|
|
//
|
|
|
|
func (bc *bitmapContainer) numberOfRuns() int {
|
|
|
|
if bc.cardinality == 0 {
|
|
|
|
return 0
|
|
|
|
}
|
|
|
|
|
|
|
|
var numRuns uint64
|
|
|
|
nextWord := bc.bitmap[0]
|
|
|
|
|
|
|
|
for i := 0; i < len(bc.bitmap)-1; i++ {
|
|
|
|
word := nextWord
|
|
|
|
nextWord = bc.bitmap[i+1]
|
|
|
|
numRuns += popcount((^word)&(word<<1)) + ((word >> 63) &^ nextWord)
|
|
|
|
}
|
|
|
|
|
|
|
|
word := nextWord
|
|
|
|
numRuns += popcount((^word) & (word << 1))
|
|
|
|
if (word & 0x8000000000000000) != 0 {
|
|
|
|
numRuns++
|
|
|
|
}
|
|
|
|
|
|
|
|
return int(numRuns)
|
|
|
|
}
|
|
|
|
|
|
|
|
// convert to run or array *if needed*
|
|
|
|
func (bc *bitmapContainer) toEfficientContainer() container {
|
|
|
|
|
|
|
|
numRuns := bc.numberOfRuns()
|
|
|
|
|
|
|
|
sizeAsRunContainer := runContainer16SerializedSizeInBytes(numRuns)
|
|
|
|
sizeAsBitmapContainer := bitmapContainerSizeInBytes()
|
|
|
|
card := bc.getCardinality()
|
|
|
|
sizeAsArrayContainer := arrayContainerSizeInBytes(card)
|
|
|
|
|
|
|
|
if sizeAsRunContainer <= minOfInt(sizeAsBitmapContainer, sizeAsArrayContainer) {
|
|
|
|
return newRunContainer16FromBitmapContainer(bc)
|
|
|
|
}
|
|
|
|
if card <= arrayDefaultMaxSize {
|
|
|
|
return bc.toArrayContainer()
|
|
|
|
}
|
|
|
|
return bc
|
|
|
|
}
|
|
|
|
|
|
|
|
func newBitmapContainerFromRun(rc *runContainer16) *bitmapContainer {
|
|
|
|
|
|
|
|
if len(rc.iv) == 1 {
|
|
|
|
return newBitmapContainerwithRange(int(rc.iv[0].start), int(rc.iv[0].last()))
|
|
|
|
}
|
|
|
|
|
|
|
|
bc := newBitmapContainer()
|
|
|
|
for i := range rc.iv {
|
|
|
|
setBitmapRange(bc.bitmap, int(rc.iv[i].start), int(rc.iv[i].last())+1)
|
|
|
|
bc.cardinality += int(rc.iv[i].last()) + 1 - int(rc.iv[i].start)
|
|
|
|
}
|
|
|
|
//bc.computeCardinality()
|
|
|
|
return bc
|
|
|
|
}
|
|
|
|
|
|
|
|
func (bc *bitmapContainer) containerType() contype {
|
|
|
|
return bitmapContype
|
|
|
|
}
|
2019-11-27 14:53:33 +05:30
|
|
|
|
|
|
|
func (bc *bitmapContainer) addOffset(x uint16) []container {
|
|
|
|
low := newBitmapContainer()
|
|
|
|
high := newBitmapContainer()
|
|
|
|
b := uint32(x) >> 6
|
|
|
|
i := uint32(x) % 64
|
|
|
|
end := uint32(1024) - b
|
|
|
|
if i == 0 {
|
|
|
|
copy(low.bitmap[b:], bc.bitmap[:end])
|
|
|
|
copy(high.bitmap[:b], bc.bitmap[end:])
|
|
|
|
} else {
|
|
|
|
low.bitmap[b] = bc.bitmap[0] << i
|
|
|
|
for k := uint32(1); k < end; k++ {
|
|
|
|
newval := bc.bitmap[k] << i
|
|
|
|
if newval == 0 {
|
|
|
|
newval = bc.bitmap[k-1] >> (64 - i)
|
|
|
|
}
|
|
|
|
low.bitmap[b+k] = newval
|
|
|
|
}
|
|
|
|
for k := end; k < 1024; k++ {
|
|
|
|
newval := bc.bitmap[k] << i
|
|
|
|
if newval == 0 {
|
|
|
|
newval = bc.bitmap[k-1] >> (64 - i)
|
|
|
|
}
|
|
|
|
high.bitmap[k-end] = newval
|
|
|
|
}
|
|
|
|
high.bitmap[b] = bc.bitmap[1023] >> (64 - i)
|
|
|
|
}
|
|
|
|
low.computeCardinality()
|
|
|
|
high.computeCardinality()
|
|
|
|
return []container{low, high}
|
|
|
|
}
|