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gitea/vendor/github.com/RoaringBitmap/roaring/runcontainer.go
2019-11-27 11:23:33 +02:00

2515 lines
63 KiB
Go

package roaring
//
// Copyright (c) 2016 by the roaring authors.
// Licensed under the Apache License, Version 2.0.
//
// We derive a few lines of code from the sort.Search
// function in the golang standard library. That function
// is Copyright 2009 The Go Authors, and licensed
// under the following BSD-style license.
/*
Copyright (c) 2009 The Go Authors. All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above
copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the
distribution.
* Neither the name of Google Inc. nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
import (
"fmt"
"sort"
"unsafe"
)
//go:generate msgp -unexported
// runContainer16 does run-length encoding of sets of
// uint16 integers.
type runContainer16 struct {
iv []interval16
card int64
// avoid allocation during search
myOpts searchOptions `msg:"-"`
}
// interval16 is the internal to runContainer16
// structure that maintains the individual [start, last]
// closed intervals.
type interval16 struct {
start uint16
length uint16 // length minus 1
}
func newInterval16Range(start, last uint16) interval16 {
if last < start {
panic(fmt.Sprintf("last (%d) cannot be smaller than start (%d)", last, start))
}
return interval16{
start,
last - start,
}
}
// runlen returns the count of integers in the interval.
func (iv interval16) runlen() int64 {
return int64(iv.length) + 1
}
func (iv interval16) last() uint16 {
return iv.start + iv.length
}
// String produces a human viewable string of the contents.
func (iv interval16) String() string {
return fmt.Sprintf("[%d, %d]", iv.start, iv.length)
}
func ivalString16(iv []interval16) string {
var s string
var j int
var p interval16
for j, p = range iv {
s += fmt.Sprintf("%v:[%d, %d], ", j, p.start, p.last())
}
return s
}
// String produces a human viewable string of the contents.
func (rc *runContainer16) String() string {
if len(rc.iv) == 0 {
return "runContainer16{}"
}
is := ivalString16(rc.iv)
return `runContainer16{` + is + `}`
}
// uint16Slice is a sort.Sort convenience method
type uint16Slice []uint16
// Len returns the length of p.
func (p uint16Slice) Len() int { return len(p) }
// Less returns p[i] < p[j]
func (p uint16Slice) Less(i, j int) bool { return p[i] < p[j] }
// Swap swaps elements i and j.
func (p uint16Slice) Swap(i, j int) { p[i], p[j] = p[j], p[i] }
//msgp:ignore addHelper
// addHelper helps build a runContainer16.
type addHelper16 struct {
runstart uint16
runlen uint16
actuallyAdded uint16
m []interval16
rc *runContainer16
}
func (ah *addHelper16) storeIval(runstart, runlen uint16) {
mi := interval16{start: runstart, length: runlen}
ah.m = append(ah.m, mi)
}
func (ah *addHelper16) add(cur, prev uint16, i int) {
if cur == prev+1 {
ah.runlen++
ah.actuallyAdded++
} else {
if cur < prev {
panic(fmt.Sprintf("newRunContainer16FromVals sees "+
"unsorted vals; vals[%v]=cur=%v < prev=%v. Sort your vals"+
" before calling us with alreadySorted == true.", i, cur, prev))
}
if cur == prev {
// ignore duplicates
} else {
ah.actuallyAdded++
ah.storeIval(ah.runstart, ah.runlen)
ah.runstart = cur
ah.runlen = 0
}
}
}
// newRunContainerRange makes a new container made of just the specified closed interval [rangestart,rangelast]
func newRunContainer16Range(rangestart uint16, rangelast uint16) *runContainer16 {
rc := &runContainer16{}
rc.iv = append(rc.iv, newInterval16Range(rangestart, rangelast))
return rc
}
// newRunContainer16FromVals makes a new container from vals.
//
// For efficiency, vals should be sorted in ascending order.
// Ideally vals should not contain duplicates, but we detect and
// ignore them. If vals is already sorted in ascending order, then
// pass alreadySorted = true. Otherwise, for !alreadySorted,
// we will sort vals before creating a runContainer16 of them.
// We sort the original vals, so this will change what the
// caller sees in vals as a side effect.
func newRunContainer16FromVals(alreadySorted bool, vals ...uint16) *runContainer16 {
// keep this in sync with newRunContainer16FromArray below
rc := &runContainer16{}
ah := addHelper16{rc: rc}
if !alreadySorted {
sort.Sort(uint16Slice(vals))
}
n := len(vals)
var cur, prev uint16
switch {
case n == 0:
// nothing more
case n == 1:
ah.m = append(ah.m, newInterval16Range(vals[0], vals[0]))
ah.actuallyAdded++
default:
ah.runstart = vals[0]
ah.actuallyAdded++
for i := 1; i < n; i++ {
prev = vals[i-1]
cur = vals[i]
ah.add(cur, prev, i)
}
ah.storeIval(ah.runstart, ah.runlen)
}
rc.iv = ah.m
rc.card = int64(ah.actuallyAdded)
return rc
}
// newRunContainer16FromBitmapContainer makes a new run container from bc,
// somewhat efficiently. For reference, see the Java
// https://github.com/RoaringBitmap/RoaringBitmap/blob/master/src/main/java/org/roaringbitmap/RunContainer.java#L145-L192
func newRunContainer16FromBitmapContainer(bc *bitmapContainer) *runContainer16 {
rc := &runContainer16{}
nbrRuns := bc.numberOfRuns()
if nbrRuns == 0 {
return rc
}
rc.iv = make([]interval16, nbrRuns)
longCtr := 0 // index of current long in bitmap
curWord := bc.bitmap[0] // its value
runCount := 0
for {
// potentially multiword advance to first 1 bit
for curWord == 0 && longCtr < len(bc.bitmap)-1 {
longCtr++
curWord = bc.bitmap[longCtr]
}
if curWord == 0 {
// wrap up, no more runs
return rc
}
localRunStart := countTrailingZeros(curWord)
runStart := localRunStart + 64*longCtr
// stuff 1s into number's LSBs
curWordWith1s := curWord | (curWord - 1)
// find the next 0, potentially in a later word
runEnd := 0
for curWordWith1s == maxWord && longCtr < len(bc.bitmap)-1 {
longCtr++
curWordWith1s = bc.bitmap[longCtr]
}
if curWordWith1s == maxWord {
// a final unterminated run of 1s
runEnd = wordSizeInBits + longCtr*64
rc.iv[runCount].start = uint16(runStart)
rc.iv[runCount].length = uint16(runEnd) - uint16(runStart) - 1
return rc
}
localRunEnd := countTrailingZeros(^curWordWith1s)
runEnd = localRunEnd + longCtr*64
rc.iv[runCount].start = uint16(runStart)
rc.iv[runCount].length = uint16(runEnd) - 1 - uint16(runStart)
runCount++
// now, zero out everything right of runEnd.
curWord = curWordWith1s & (curWordWith1s + 1)
// We've lathered and rinsed, so repeat...
}
}
//
// newRunContainer16FromArray populates a new
// runContainer16 from the contents of arr.
//
func newRunContainer16FromArray(arr *arrayContainer) *runContainer16 {
// keep this in sync with newRunContainer16FromVals above
rc := &runContainer16{}
ah := addHelper16{rc: rc}
n := arr.getCardinality()
var cur, prev uint16
switch {
case n == 0:
// nothing more
case n == 1:
ah.m = append(ah.m, newInterval16Range(arr.content[0], arr.content[0]))
ah.actuallyAdded++
default:
ah.runstart = arr.content[0]
ah.actuallyAdded++
for i := 1; i < n; i++ {
prev = arr.content[i-1]
cur = arr.content[i]
ah.add(cur, prev, i)
}
ah.storeIval(ah.runstart, ah.runlen)
}
rc.iv = ah.m
rc.card = int64(ah.actuallyAdded)
return rc
}
// set adds the integers in vals to the set. Vals
// must be sorted in increasing order; if not, you should set
// alreadySorted to false, and we will sort them in place for you.
// (Be aware of this side effect -- it will affect the callers
// view of vals).
//
// If you have a small number of additions to an already
// big runContainer16, calling Add() may be faster.
func (rc *runContainer16) set(alreadySorted bool, vals ...uint16) {
rc2 := newRunContainer16FromVals(alreadySorted, vals...)
un := rc.union(rc2)
rc.iv = un.iv
rc.card = 0
}
// canMerge returns true iff the intervals
// a and b either overlap or they are
// contiguous and so can be merged into
// a single interval.
func canMerge16(a, b interval16) bool {
if int64(a.last())+1 < int64(b.start) {
return false
}
return int64(b.last())+1 >= int64(a.start)
}
// haveOverlap differs from canMerge in that
// it tells you if the intersection of a
// and b would contain an element (otherwise
// it would be the empty set, and we return
// false).
func haveOverlap16(a, b interval16) bool {
if int64(a.last())+1 <= int64(b.start) {
return false
}
return int64(b.last())+1 > int64(a.start)
}
// mergeInterval16s joins a and b into a
// new interval, and panics if it cannot.
func mergeInterval16s(a, b interval16) (res interval16) {
if !canMerge16(a, b) {
panic(fmt.Sprintf("cannot merge %#v and %#v", a, b))
}
if b.start < a.start {
res.start = b.start
} else {
res.start = a.start
}
if b.last() > a.last() {
res.length = b.last() - res.start
} else {
res.length = a.last() - res.start
}
return
}
// intersectInterval16s returns the intersection
// of a and b. The isEmpty flag will be true if
// a and b were disjoint.
func intersectInterval16s(a, b interval16) (res interval16, isEmpty bool) {
if !haveOverlap16(a, b) {
isEmpty = true
return
}
if b.start > a.start {
res.start = b.start
} else {
res.start = a.start
}
bEnd := b.last()
aEnd := a.last()
var resEnd uint16
if bEnd < aEnd {
resEnd = bEnd
} else {
resEnd = aEnd
}
res.length = resEnd - res.start
return
}
// union merges two runContainer16s, producing
// a new runContainer16 with the union of rc and b.
func (rc *runContainer16) union(b *runContainer16) *runContainer16 {
// rc is also known as 'a' here, but golint insisted we
// call it rc for consistency with the rest of the methods.
var m []interval16
alim := int64(len(rc.iv))
blim := int64(len(b.iv))
var na int64 // next from a
var nb int64 // next from b
// merged holds the current merge output, which might
// get additional merges before being appended to m.
var merged interval16
var mergedUsed bool // is merged being used at the moment?
var cura interval16 // currently considering this interval16 from a
var curb interval16 // currently considering this interval16 from b
pass := 0
for na < alim && nb < blim {
pass++
cura = rc.iv[na]
curb = b.iv[nb]
if mergedUsed {
mergedUpdated := false
if canMerge16(cura, merged) {
merged = mergeInterval16s(cura, merged)
na = rc.indexOfIntervalAtOrAfter(int64(merged.last())+1, na+1)
mergedUpdated = true
}
if canMerge16(curb, merged) {
merged = mergeInterval16s(curb, merged)
nb = b.indexOfIntervalAtOrAfter(int64(merged.last())+1, nb+1)
mergedUpdated = true
}
if !mergedUpdated {
// we know that merged is disjoint from cura and curb
m = append(m, merged)
mergedUsed = false
}
continue
} else {
// !mergedUsed
if !canMerge16(cura, curb) {
if cura.start < curb.start {
m = append(m, cura)
na++
} else {
m = append(m, curb)
nb++
}
} else {
merged = mergeInterval16s(cura, curb)
mergedUsed = true
na = rc.indexOfIntervalAtOrAfter(int64(merged.last())+1, na+1)
nb = b.indexOfIntervalAtOrAfter(int64(merged.last())+1, nb+1)
}
}
}
var aDone, bDone bool
if na >= alim {
aDone = true
}
if nb >= blim {
bDone = true
}
// finish by merging anything remaining into merged we can:
if mergedUsed {
if !aDone {
aAdds:
for na < alim {
cura = rc.iv[na]
if canMerge16(cura, merged) {
merged = mergeInterval16s(cura, merged)
na = rc.indexOfIntervalAtOrAfter(int64(merged.last())+1, na+1)
} else {
break aAdds
}
}
}
if !bDone {
bAdds:
for nb < blim {
curb = b.iv[nb]
if canMerge16(curb, merged) {
merged = mergeInterval16s(curb, merged)
nb = b.indexOfIntervalAtOrAfter(int64(merged.last())+1, nb+1)
} else {
break bAdds
}
}
}
m = append(m, merged)
}
if na < alim {
m = append(m, rc.iv[na:]...)
}
if nb < blim {
m = append(m, b.iv[nb:]...)
}
res := &runContainer16{iv: m}
return res
}
// unionCardinality returns the cardinality of the merger of two runContainer16s, the union of rc and b.
func (rc *runContainer16) unionCardinality(b *runContainer16) uint64 {
// rc is also known as 'a' here, but golint insisted we
// call it rc for consistency with the rest of the methods.
answer := uint64(0)
alim := int64(len(rc.iv))
blim := int64(len(b.iv))
var na int64 // next from a
var nb int64 // next from b
// merged holds the current merge output, which might
// get additional merges before being appended to m.
var merged interval16
var mergedUsed bool // is merged being used at the moment?
var cura interval16 // currently considering this interval16 from a
var curb interval16 // currently considering this interval16 from b
pass := 0
for na < alim && nb < blim {
pass++
cura = rc.iv[na]
curb = b.iv[nb]
if mergedUsed {
mergedUpdated := false
if canMerge16(cura, merged) {
merged = mergeInterval16s(cura, merged)
na = rc.indexOfIntervalAtOrAfter(int64(merged.last())+1, na+1)
mergedUpdated = true
}
if canMerge16(curb, merged) {
merged = mergeInterval16s(curb, merged)
nb = b.indexOfIntervalAtOrAfter(int64(merged.last())+1, nb+1)
mergedUpdated = true
}
if !mergedUpdated {
// we know that merged is disjoint from cura and curb
//m = append(m, merged)
answer += uint64(merged.last()) - uint64(merged.start) + 1
mergedUsed = false
}
continue
} else {
// !mergedUsed
if !canMerge16(cura, curb) {
if cura.start < curb.start {
answer += uint64(cura.last()) - uint64(cura.start) + 1
//m = append(m, cura)
na++
} else {
answer += uint64(curb.last()) - uint64(curb.start) + 1
//m = append(m, curb)
nb++
}
} else {
merged = mergeInterval16s(cura, curb)
mergedUsed = true
na = rc.indexOfIntervalAtOrAfter(int64(merged.last())+1, na+1)
nb = b.indexOfIntervalAtOrAfter(int64(merged.last())+1, nb+1)
}
}
}
var aDone, bDone bool
if na >= alim {
aDone = true
}
if nb >= blim {
bDone = true
}
// finish by merging anything remaining into merged we can:
if mergedUsed {
if !aDone {
aAdds:
for na < alim {
cura = rc.iv[na]
if canMerge16(cura, merged) {
merged = mergeInterval16s(cura, merged)
na = rc.indexOfIntervalAtOrAfter(int64(merged.last())+1, na+1)
} else {
break aAdds
}
}
}
if !bDone {
bAdds:
for nb < blim {
curb = b.iv[nb]
if canMerge16(curb, merged) {
merged = mergeInterval16s(curb, merged)
nb = b.indexOfIntervalAtOrAfter(int64(merged.last())+1, nb+1)
} else {
break bAdds
}
}
}
//m = append(m, merged)
answer += uint64(merged.last()) - uint64(merged.start) + 1
}
for _, r := range rc.iv[na:] {
answer += uint64(r.last()) - uint64(r.start) + 1
}
for _, r := range b.iv[nb:] {
answer += uint64(r.last()) - uint64(r.start) + 1
}
return answer
}
// indexOfIntervalAtOrAfter is a helper for union.
func (rc *runContainer16) indexOfIntervalAtOrAfter(key int64, startIndex int64) int64 {
rc.myOpts.startIndex = startIndex
rc.myOpts.endxIndex = 0
w, already, _ := rc.search(key, &rc.myOpts)
if already {
return w
}
return w + 1
}
// intersect returns a new runContainer16 holding the
// intersection of rc (also known as 'a') and b.
func (rc *runContainer16) intersect(b *runContainer16) *runContainer16 {
a := rc
numa := int64(len(a.iv))
numb := int64(len(b.iv))
res := &runContainer16{}
if numa == 0 || numb == 0 {
return res
}
if numa == 1 && numb == 1 {
if !haveOverlap16(a.iv[0], b.iv[0]) {
return res
}
}
var output []interval16
var acuri int64
var bcuri int64
astart := int64(a.iv[acuri].start)
bstart := int64(b.iv[bcuri].start)
var intersection interval16
var leftoverstart int64
var isOverlap, isLeftoverA, isLeftoverB bool
var done bool
toploop:
for acuri < numa && bcuri < numb {
isOverlap, isLeftoverA, isLeftoverB, leftoverstart, intersection =
intersectWithLeftover16(astart, int64(a.iv[acuri].last()), bstart, int64(b.iv[bcuri].last()))
if !isOverlap {
switch {
case astart < bstart:
acuri, done = a.findNextIntervalThatIntersectsStartingFrom(acuri+1, bstart)
if done {
break toploop
}
astart = int64(a.iv[acuri].start)
case astart > bstart:
bcuri, done = b.findNextIntervalThatIntersectsStartingFrom(bcuri+1, astart)
if done {
break toploop
}
bstart = int64(b.iv[bcuri].start)
//default:
// panic("impossible that astart == bstart, since !isOverlap")
}
} else {
// isOverlap
output = append(output, intersection)
switch {
case isLeftoverA:
// note that we change astart without advancing acuri,
// since we need to capture any 2ndary intersections with a.iv[acuri]
astart = leftoverstart
bcuri++
if bcuri >= numb {
break toploop
}
bstart = int64(b.iv[bcuri].start)
case isLeftoverB:
// note that we change bstart without advancing bcuri,
// since we need to capture any 2ndary intersections with b.iv[bcuri]
bstart = leftoverstart
acuri++
if acuri >= numa {
break toploop
}
astart = int64(a.iv[acuri].start)
default:
// neither had leftover, both completely consumed
// optionally, assert for sanity:
//if a.iv[acuri].endx != b.iv[bcuri].endx {
// panic("huh? should only be possible that endx agree now!")
//}
// advance to next a interval
acuri++
if acuri >= numa {
break toploop
}
astart = int64(a.iv[acuri].start)
// advance to next b interval
bcuri++
if bcuri >= numb {
break toploop
}
bstart = int64(b.iv[bcuri].start)
}
}
} // end for toploop
if len(output) == 0 {
return res
}
res.iv = output
return res
}
// intersectCardinality returns the cardinality of the
// intersection of rc (also known as 'a') and b.
func (rc *runContainer16) intersectCardinality(b *runContainer16) int64 {
answer := int64(0)
a := rc
numa := int64(len(a.iv))
numb := int64(len(b.iv))
if numa == 0 || numb == 0 {
return 0
}
if numa == 1 && numb == 1 {
if !haveOverlap16(a.iv[0], b.iv[0]) {
return 0
}
}
var acuri int64
var bcuri int64
astart := int64(a.iv[acuri].start)
bstart := int64(b.iv[bcuri].start)
var intersection interval16
var leftoverstart int64
var isOverlap, isLeftoverA, isLeftoverB bool
var done bool
pass := 0
toploop:
for acuri < numa && bcuri < numb {
pass++
isOverlap, isLeftoverA, isLeftoverB, leftoverstart, intersection =
intersectWithLeftover16(astart, int64(a.iv[acuri].last()), bstart, int64(b.iv[bcuri].last()))
if !isOverlap {
switch {
case astart < bstart:
acuri, done = a.findNextIntervalThatIntersectsStartingFrom(acuri+1, bstart)
if done {
break toploop
}
astart = int64(a.iv[acuri].start)
case astart > bstart:
bcuri, done = b.findNextIntervalThatIntersectsStartingFrom(bcuri+1, astart)
if done {
break toploop
}
bstart = int64(b.iv[bcuri].start)
//default:
// panic("impossible that astart == bstart, since !isOverlap")
}
} else {
// isOverlap
answer += int64(intersection.last()) - int64(intersection.start) + 1
switch {
case isLeftoverA:
// note that we change astart without advancing acuri,
// since we need to capture any 2ndary intersections with a.iv[acuri]
astart = leftoverstart
bcuri++
if bcuri >= numb {
break toploop
}
bstart = int64(b.iv[bcuri].start)
case isLeftoverB:
// note that we change bstart without advancing bcuri,
// since we need to capture any 2ndary intersections with b.iv[bcuri]
bstart = leftoverstart
acuri++
if acuri >= numa {
break toploop
}
astart = int64(a.iv[acuri].start)
default:
// neither had leftover, both completely consumed
// optionally, assert for sanity:
//if a.iv[acuri].endx != b.iv[bcuri].endx {
// panic("huh? should only be possible that endx agree now!")
//}
// advance to next a interval
acuri++
if acuri >= numa {
break toploop
}
astart = int64(a.iv[acuri].start)
// advance to next b interval
bcuri++
if bcuri >= numb {
break toploop
}
bstart = int64(b.iv[bcuri].start)
}
}
} // end for toploop
return answer
}
// get returns true iff key is in the container.
func (rc *runContainer16) contains(key uint16) bool {
_, in, _ := rc.search(int64(key), nil)
return in
}
// numIntervals returns the count of intervals in the container.
func (rc *runContainer16) numIntervals() int {
return len(rc.iv)
}
// searchOptions allows us to accelerate search with
// prior knowledge of (mostly lower) bounds. This is used by Union
// and Intersect.
type searchOptions struct {
// start here instead of at 0
startIndex int64
// upper bound instead of len(rc.iv);
// endxIndex == 0 means ignore the bound and use
// endxIndex == n ==len(rc.iv) which is also
// naturally the default for search()
// when opt = nil.
endxIndex int64
}
// search returns alreadyPresent to indicate if the
// key is already in one of our interval16s.
//
// If key is alreadyPresent, then whichInterval16 tells
// you where.
//
// If key is not already present, then whichInterval16 is
// set as follows:
//
// a) whichInterval16 == len(rc.iv)-1 if key is beyond our
// last interval16 in rc.iv;
//
// b) whichInterval16 == -1 if key is before our first
// interval16 in rc.iv;
//
// c) whichInterval16 is set to the minimum index of rc.iv
// which comes strictly before the key;
// so rc.iv[whichInterval16].last < key,
// and if whichInterval16+1 exists, then key < rc.iv[whichInterval16+1].start
// (Note that whichInterval16+1 won't exist when
// whichInterval16 is the last interval.)
//
// runContainer16.search always returns whichInterval16 < len(rc.iv).
//
// If not nil, opts can be used to further restrict
// the search space.
//
func (rc *runContainer16) search(key int64, opts *searchOptions) (whichInterval16 int64, alreadyPresent bool, numCompares int) {
n := int64(len(rc.iv))
if n == 0 {
return -1, false, 0
}
startIndex := int64(0)
endxIndex := n
if opts != nil {
startIndex = opts.startIndex
// let endxIndex == 0 mean no effect
if opts.endxIndex > 0 {
endxIndex = opts.endxIndex
}
}
// sort.Search returns the smallest index i
// in [0, n) at which f(i) is true, assuming that on the range [0, n),
// f(i) == true implies f(i+1) == true.
// If there is no such index, Search returns n.
// For correctness, this began as verbatim snippet from
// sort.Search in the Go standard lib.
// We inline our comparison function for speed, and
// annotate with numCompares
// to observe and test that extra bounds are utilized.
i, j := startIndex, endxIndex
for i < j {
h := i + (j-i)/2 // avoid overflow when computing h as the bisector
// i <= h < j
numCompares++
if !(key < int64(rc.iv[h].start)) {
i = h + 1
} else {
j = h
}
}
below := i
// end std lib snippet.
// The above is a simple in-lining and annotation of:
/* below := sort.Search(n,
func(i int) bool {
return key < rc.iv[i].start
})
*/
whichInterval16 = below - 1
if below == n {
// all falses => key is >= start of all interval16s
// ... so does it belong to the last interval16?
if key < int64(rc.iv[n-1].last())+1 {
// yes, it belongs to the last interval16
alreadyPresent = true
return
}
// no, it is beyond the last interval16.
// leave alreadyPreset = false
return
}
// INVAR: key is below rc.iv[below]
if below == 0 {
// key is before the first first interval16.
// leave alreadyPresent = false
return
}
// INVAR: key is >= rc.iv[below-1].start and
// key is < rc.iv[below].start
// is key in below-1 interval16?
if key >= int64(rc.iv[below-1].start) && key < int64(rc.iv[below-1].last())+1 {
// yes, it is. key is in below-1 interval16.
alreadyPresent = true
return
}
// INVAR: key >= rc.iv[below-1].endx && key < rc.iv[below].start
// leave alreadyPresent = false
return
}
// cardinality returns the count of the integers stored in the
// runContainer16.
func (rc *runContainer16) cardinality() int64 {
if len(rc.iv) == 0 {
rc.card = 0
return 0
}
if rc.card > 0 {
return rc.card // already cached
}
// have to compute it
var n int64
for _, p := range rc.iv {
n += p.runlen()
}
rc.card = n // cache it
return n
}
// AsSlice decompresses the contents into a []uint16 slice.
func (rc *runContainer16) AsSlice() []uint16 {
s := make([]uint16, rc.cardinality())
j := 0
for _, p := range rc.iv {
for i := p.start; i <= p.last(); i++ {
s[j] = i
j++
}
}
return s
}
// newRunContainer16 creates an empty run container.
func newRunContainer16() *runContainer16 {
return &runContainer16{}
}
// newRunContainer16CopyIv creates a run container, initializing
// with a copy of the supplied iv slice.
//
func newRunContainer16CopyIv(iv []interval16) *runContainer16 {
rc := &runContainer16{
iv: make([]interval16, len(iv)),
}
copy(rc.iv, iv)
return rc
}
func (rc *runContainer16) Clone() *runContainer16 {
rc2 := newRunContainer16CopyIv(rc.iv)
return rc2
}
// newRunContainer16TakeOwnership returns a new runContainer16
// backed by the provided iv slice, which we will
// assume exclusive control over from now on.
//
func newRunContainer16TakeOwnership(iv []interval16) *runContainer16 {
rc := &runContainer16{
iv: iv,
}
return rc
}
const baseRc16Size = int(unsafe.Sizeof(runContainer16{}))
const perIntervalRc16Size = int(unsafe.Sizeof(interval16{}))
const baseDiskRc16Size = int(unsafe.Sizeof(uint16(0)))
// see also runContainer16SerializedSizeInBytes(numRuns int) int
// getSizeInBytes returns the number of bytes of memory
// required by this runContainer16.
func (rc *runContainer16) getSizeInBytes() int {
return perIntervalRc16Size*len(rc.iv) + baseRc16Size
}
// runContainer16SerializedSizeInBytes returns the number of bytes of disk
// required to hold numRuns in a runContainer16.
func runContainer16SerializedSizeInBytes(numRuns int) int {
return perIntervalRc16Size*numRuns + baseDiskRc16Size
}
// Add adds a single value k to the set.
func (rc *runContainer16) Add(k uint16) (wasNew bool) {
// TODO comment from runContainer16.java:
// it might be better and simpler to do return
// toBitmapOrArrayContainer(getCardinality()).add(k)
// but note that some unit tests use this method to build up test
// runcontainers without calling runOptimize
k64 := int64(k)
index, present, _ := rc.search(k64, nil)
if present {
return // already there
}
wasNew = true
// increment card if it is cached already
if rc.card > 0 {
rc.card++
}
n := int64(len(rc.iv))
if index == -1 {
// we may need to extend the first run
if n > 0 {
if rc.iv[0].start == k+1 {
rc.iv[0].start = k
rc.iv[0].length++
return
}
}
// nope, k stands alone, starting the new first interval16.
rc.iv = append([]interval16{newInterval16Range(k, k)}, rc.iv...)
return
}
// are we off the end? handle both index == n and index == n-1:
if index >= n-1 {
if int64(rc.iv[n-1].last())+1 == k64 {
rc.iv[n-1].length++
return
}
rc.iv = append(rc.iv, newInterval16Range(k, k))
return
}
// INVAR: index and index+1 both exist, and k goes between them.
//
// Now: add k into the middle,
// possibly fusing with index or index+1 interval16
// and possibly resulting in fusing of two interval16s
// that had a one integer gap.
left := index
right := index + 1
// are we fusing left and right by adding k?
if int64(rc.iv[left].last())+1 == k64 && int64(rc.iv[right].start) == k64+1 {
// fuse into left
rc.iv[left].length = rc.iv[right].last() - rc.iv[left].start
// remove redundant right
rc.iv = append(rc.iv[:left+1], rc.iv[right+1:]...)
return
}
// are we an addition to left?
if int64(rc.iv[left].last())+1 == k64 {
// yes
rc.iv[left].length++
return
}
// are we an addition to right?
if int64(rc.iv[right].start) == k64+1 {
// yes
rc.iv[right].start = k
rc.iv[right].length++
return
}
// k makes a standalone new interval16, inserted in the middle
tail := append([]interval16{newInterval16Range(k, k)}, rc.iv[right:]...)
rc.iv = append(rc.iv[:left+1], tail...)
return
}
//msgp:ignore runIterator
// runIterator16 advice: you must call hasNext()
// before calling next()/peekNext() to insure there are contents.
type runIterator16 struct {
rc *runContainer16
curIndex int64
curPosInIndex uint16
}
// newRunIterator16 returns a new empty run container.
func (rc *runContainer16) newRunIterator16() *runIterator16 {
return &runIterator16{rc: rc, curIndex: 0, curPosInIndex: 0}
}
// hasNext returns false if calling next will panic. It
// returns true when there is at least one more value
// available in the iteration sequence.
func (ri *runIterator16) hasNext() bool {
return int64(len(ri.rc.iv)) > ri.curIndex+1 ||
(int64(len(ri.rc.iv)) == ri.curIndex+1 && ri.rc.iv[ri.curIndex].length >= ri.curPosInIndex)
}
// next returns the next value in the iteration sequence.
func (ri *runIterator16) next() uint16 {
next := ri.rc.iv[ri.curIndex].start + ri.curPosInIndex
if ri.curPosInIndex == ri.rc.iv[ri.curIndex].length {
ri.curPosInIndex = 0
ri.curIndex++
} else {
ri.curPosInIndex++
}
return next
}
// peekNext returns the next value in the iteration sequence without advancing the iterator
func (ri *runIterator16) peekNext() uint16 {
return ri.rc.iv[ri.curIndex].start + ri.curPosInIndex
}
// advanceIfNeeded advances as long as the next value is smaller than minval
func (ri *runIterator16) advanceIfNeeded(minval uint16) {
if !ri.hasNext() || ri.peekNext() >= minval {
return
}
opt := &searchOptions{
startIndex: ri.curIndex,
endxIndex: int64(len(ri.rc.iv)),
}
// interval cannot be -1 because of minval > peekNext
interval, isPresent, _ := ri.rc.search(int64(minval), opt)
// if the minval is present, set the curPosIndex at the right position
if isPresent {
ri.curIndex = interval
ri.curPosInIndex = minval - ri.rc.iv[ri.curIndex].start
} else {
// otherwise interval is set to to the minimum index of rc.iv
// which comes strictly before the key, that's why we set the next interval
ri.curIndex = interval + 1
ri.curPosInIndex = 0
}
}
// runReverseIterator16 advice: you must call hasNext()
// before calling next() to insure there are contents.
type runReverseIterator16 struct {
rc *runContainer16
curIndex int64 // index into rc.iv
curPosInIndex uint16 // offset in rc.iv[curIndex]
}
// newRunReverseIterator16 returns a new empty run iterator.
func (rc *runContainer16) newRunReverseIterator16() *runReverseIterator16 {
index := int64(len(rc.iv)) - 1
pos := uint16(0)
if index >= 0 {
pos = rc.iv[index].length
}
return &runReverseIterator16{
rc: rc,
curIndex: index,
curPosInIndex: pos,
}
}
// hasNext returns false if calling next will panic. It
// returns true when there is at least one more value
// available in the iteration sequence.
func (ri *runReverseIterator16) hasNext() bool {
return ri.curIndex > 0 || ri.curIndex == 0 && ri.curPosInIndex >= 0
}
// next returns the next value in the iteration sequence.
func (ri *runReverseIterator16) next() uint16 {
next := ri.rc.iv[ri.curIndex].start + ri.curPosInIndex
if ri.curPosInIndex > 0 {
ri.curPosInIndex--
} else {
ri.curIndex--
if ri.curIndex >= 0 {
ri.curPosInIndex = ri.rc.iv[ri.curIndex].length
}
}
return next
}
func (rc *runContainer16) newManyRunIterator16() *runIterator16 {
return rc.newRunIterator16()
}
// hs are the high bits to include to avoid needing to reiterate over the buffer in NextMany
func (ri *runIterator16) nextMany(hs uint32, buf []uint32) int {
n := 0
if !ri.hasNext() {
return n
}
// start and end are inclusive
for n < len(buf) {
moreVals := 0
if ri.rc.iv[ri.curIndex].length >= ri.curPosInIndex {
// add as many as you can from this seq
moreVals = minOfInt(int(ri.rc.iv[ri.curIndex].length-ri.curPosInIndex)+1, len(buf)-n)
base := uint32(ri.rc.iv[ri.curIndex].start+ri.curPosInIndex) | hs
// allows BCE
buf2 := buf[n : n+moreVals]
for i := range buf2 {
buf2[i] = base + uint32(i)
}
// update values
n += moreVals
}
if moreVals+int(ri.curPosInIndex) > int(ri.rc.iv[ri.curIndex].length) {
ri.curPosInIndex = 0
ri.curIndex++
if ri.curIndex == int64(len(ri.rc.iv)) {
break
}
} else {
ri.curPosInIndex += uint16(moreVals) //moreVals always fits in uint16
}
}
return n
}
// remove removes key from the container.
func (rc *runContainer16) removeKey(key uint16) (wasPresent bool) {
var index int64
index, wasPresent, _ = rc.search(int64(key), nil)
if !wasPresent {
return // already removed, nothing to do.
}
pos := key - rc.iv[index].start
rc.deleteAt(&index, &pos)
return
}
// internal helper functions
func (rc *runContainer16) deleteAt(curIndex *int64, curPosInIndex *uint16) {
rc.card--
ci := *curIndex
pos := *curPosInIndex
// are we first, last, or in the middle of our interval16?
switch {
case pos == 0:
if int64(rc.iv[ci].length) == 0 {
// our interval disappears
rc.iv = append(rc.iv[:ci], rc.iv[ci+1:]...)
// curIndex stays the same, since the delete did
// the advance for us.
*curPosInIndex = 0
} else {
rc.iv[ci].start++ // no longer overflowable
rc.iv[ci].length--
}
case pos == rc.iv[ci].length:
// length
rc.iv[ci].length--
// our interval16 cannot disappear, else we would have been pos == 0, case first above.
*curPosInIndex--
// if we leave *curIndex alone, then Next() will work properly even after the delete.
default:
//middle
// split into two, adding an interval16
new0 := newInterval16Range(rc.iv[ci].start, rc.iv[ci].start+*curPosInIndex-1)
new1start := int64(rc.iv[ci].start+*curPosInIndex) + 1
if new1start > int64(MaxUint16) {
panic("overflow?!?!")
}
new1 := newInterval16Range(uint16(new1start), rc.iv[ci].last())
tail := append([]interval16{new0, new1}, rc.iv[ci+1:]...)
rc.iv = append(rc.iv[:ci], tail...)
// update curIndex and curPosInIndex
*curIndex++
*curPosInIndex = 0
}
}
func have4Overlap16(astart, alast, bstart, blast int64) bool {
if alast+1 <= bstart {
return false
}
return blast+1 > astart
}
func intersectWithLeftover16(astart, alast, bstart, blast int64) (isOverlap, isLeftoverA, isLeftoverB bool, leftoverstart int64, intersection interval16) {
if !have4Overlap16(astart, alast, bstart, blast) {
return
}
isOverlap = true
// do the intersection:
if bstart > astart {
intersection.start = uint16(bstart)
} else {
intersection.start = uint16(astart)
}
switch {
case blast < alast:
isLeftoverA = true
leftoverstart = blast + 1
intersection.length = uint16(blast) - intersection.start
case alast < blast:
isLeftoverB = true
leftoverstart = alast + 1
intersection.length = uint16(alast) - intersection.start
default:
// alast == blast
intersection.length = uint16(alast) - intersection.start
}
return
}
func (rc *runContainer16) findNextIntervalThatIntersectsStartingFrom(startIndex int64, key int64) (index int64, done bool) {
rc.myOpts.startIndex = startIndex
rc.myOpts.endxIndex = 0
w, _, _ := rc.search(key, &rc.myOpts)
// rc.search always returns w < len(rc.iv)
if w < startIndex {
// not found and comes before lower bound startIndex,
// so just use the lower bound.
if startIndex == int64(len(rc.iv)) {
// also this bump up means that we are done
return startIndex, true
}
return startIndex, false
}
return w, false
}
func sliceToString16(m []interval16) string {
s := ""
for i := range m {
s += fmt.Sprintf("%v: %s, ", i, m[i])
}
return s
}
// selectInt16 returns the j-th value in the container.
// We panic of j is out of bounds.
func (rc *runContainer16) selectInt16(j uint16) int {
n := rc.cardinality()
if int64(j) > n {
panic(fmt.Sprintf("Cannot select %v since Cardinality is %v", j, n))
}
var offset int64
for k := range rc.iv {
nextOffset := offset + rc.iv[k].runlen()
if nextOffset > int64(j) {
return int(int64(rc.iv[k].start) + (int64(j) - offset))
}
offset = nextOffset
}
panic(fmt.Sprintf("Cannot select %v since Cardinality is %v", j, n))
}
// helper for invert
func (rc *runContainer16) invertlastInterval(origin uint16, lastIdx int) []interval16 {
cur := rc.iv[lastIdx]
if cur.last() == MaxUint16 {
if cur.start == origin {
return nil // empty container
}
return []interval16{newInterval16Range(origin, cur.start-1)}
}
if cur.start == origin {
return []interval16{newInterval16Range(cur.last()+1, MaxUint16)}
}
// invert splits
return []interval16{
newInterval16Range(origin, cur.start-1),
newInterval16Range(cur.last()+1, MaxUint16),
}
}
// invert returns a new container (not inplace), that is
// the inversion of rc. For each bit b in rc, the
// returned value has !b
func (rc *runContainer16) invert() *runContainer16 {
ni := len(rc.iv)
var m []interval16
switch ni {
case 0:
return &runContainer16{iv: []interval16{newInterval16Range(0, MaxUint16)}}
case 1:
return &runContainer16{iv: rc.invertlastInterval(0, 0)}
}
var invstart int64
ult := ni - 1
for i, cur := range rc.iv {
if i == ult {
// invertlastInteval will add both intervals (b) and (c) in
// diagram below.
m = append(m, rc.invertlastInterval(uint16(invstart), i)...)
break
}
// INVAR: i and cur are not the last interval, there is a next at i+1
//
// ........[cur.start, cur.last] ...... [next.start, next.last]....
// ^ ^ ^
// (a) (b) (c)
//
// Now: we add interval (a); but if (a) is empty, for cur.start==0, we skip it.
if cur.start > 0 {
m = append(m, newInterval16Range(uint16(invstart), cur.start-1))
}
invstart = int64(cur.last() + 1)
}
return &runContainer16{iv: m}
}
func (iv interval16) equal(b interval16) bool {
return iv.start == b.start && iv.length == b.length
}
func (iv interval16) isSuperSetOf(b interval16) bool {
return iv.start <= b.start && b.last() <= iv.last()
}
func (iv interval16) subtractInterval(del interval16) (left []interval16, delcount int64) {
isect, isEmpty := intersectInterval16s(iv, del)
if isEmpty {
return nil, 0
}
if del.isSuperSetOf(iv) {
return nil, iv.runlen()
}
switch {
case isect.start > iv.start && isect.last() < iv.last():
new0 := newInterval16Range(iv.start, isect.start-1)
new1 := newInterval16Range(isect.last()+1, iv.last())
return []interval16{new0, new1}, isect.runlen()
case isect.start == iv.start:
return []interval16{newInterval16Range(isect.last()+1, iv.last())}, isect.runlen()
default:
return []interval16{newInterval16Range(iv.start, isect.start-1)}, isect.runlen()
}
}
func (rc *runContainer16) isubtract(del interval16) {
origiv := make([]interval16, len(rc.iv))
copy(origiv, rc.iv)
n := int64(len(rc.iv))
if n == 0 {
return // already done.
}
_, isEmpty := intersectInterval16s(newInterval16Range(rc.iv[0].start, rc.iv[n-1].last()), del)
if isEmpty {
return // done
}
// INVAR there is some intersection between rc and del
istart, startAlready, _ := rc.search(int64(del.start), nil)
ilast, lastAlready, _ := rc.search(int64(del.last()), nil)
rc.card = -1
if istart == -1 {
if ilast == n-1 && !lastAlready {
rc.iv = nil
return
}
}
// some intervals will remain
switch {
case startAlready && lastAlready:
res0, _ := rc.iv[istart].subtractInterval(del)
// would overwrite values in iv b/c res0 can have len 2. so
// write to origiv instead.
lost := 1 + ilast - istart
changeSize := int64(len(res0)) - lost
newSize := int64(len(rc.iv)) + changeSize
// rc.iv = append(pre, caboose...)
// return
if ilast != istart {
res1, _ := rc.iv[ilast].subtractInterval(del)
res0 = append(res0, res1...)
changeSize = int64(len(res0)) - lost
newSize = int64(len(rc.iv)) + changeSize
}
switch {
case changeSize < 0:
// shrink
copy(rc.iv[istart+int64(len(res0)):], rc.iv[ilast+1:])
copy(rc.iv[istart:istart+int64(len(res0))], res0)
rc.iv = rc.iv[:newSize]
return
case changeSize == 0:
// stay the same
copy(rc.iv[istart:istart+int64(len(res0))], res0)
return
default:
// changeSize > 0 is only possible when ilast == istart.
// Hence we now know: changeSize == 1 and len(res0) == 2
rc.iv = append(rc.iv, interval16{})
// len(rc.iv) is correct now, no need to rc.iv = rc.iv[:newSize]
// copy the tail into place
copy(rc.iv[ilast+2:], rc.iv[ilast+1:])
// copy the new item(s) into place
copy(rc.iv[istart:istart+2], res0)
return
}
case !startAlready && !lastAlready:
// we get to discard whole intervals
// from the search() definition:
// if del.start is not present, then istart is
// set as follows:
//
// a) istart == n-1 if del.start is beyond our
// last interval16 in rc.iv;
//
// b) istart == -1 if del.start is before our first
// interval16 in rc.iv;
//
// c) istart is set to the minimum index of rc.iv
// which comes strictly before the del.start;
// so del.start > rc.iv[istart].last,
// and if istart+1 exists, then del.start < rc.iv[istart+1].startx
// if del.last is not present, then ilast is
// set as follows:
//
// a) ilast == n-1 if del.last is beyond our
// last interval16 in rc.iv;
//
// b) ilast == -1 if del.last is before our first
// interval16 in rc.iv;
//
// c) ilast is set to the minimum index of rc.iv
// which comes strictly before the del.last;
// so del.last > rc.iv[ilast].last,
// and if ilast+1 exists, then del.last < rc.iv[ilast+1].start
// INVAR: istart >= 0
pre := rc.iv[:istart+1]
if ilast == n-1 {
rc.iv = pre
return
}
// INVAR: ilast < n-1
lost := ilast - istart
changeSize := -lost
newSize := int64(len(rc.iv)) + changeSize
if changeSize != 0 {
copy(rc.iv[ilast+1+changeSize:], rc.iv[ilast+1:])
}
rc.iv = rc.iv[:newSize]
return
case startAlready && !lastAlready:
// we can only shrink or stay the same size
// i.e. we either eliminate the whole interval,
// or just cut off the right side.
res0, _ := rc.iv[istart].subtractInterval(del)
if len(res0) > 0 {
// len(res) must be 1
rc.iv[istart] = res0[0]
}
lost := 1 + (ilast - istart)
changeSize := int64(len(res0)) - lost
newSize := int64(len(rc.iv)) + changeSize
if changeSize != 0 {
copy(rc.iv[ilast+1+changeSize:], rc.iv[ilast+1:])
}
rc.iv = rc.iv[:newSize]
return
case !startAlready && lastAlready:
// we can only shrink or stay the same size
res1, _ := rc.iv[ilast].subtractInterval(del)
lost := ilast - istart
changeSize := int64(len(res1)) - lost
newSize := int64(len(rc.iv)) + changeSize
if changeSize != 0 {
// move the tail first to make room for res1
copy(rc.iv[ilast+1+changeSize:], rc.iv[ilast+1:])
}
copy(rc.iv[istart+1:], res1)
rc.iv = rc.iv[:newSize]
return
}
}
// compute rc minus b, and return the result as a new value (not inplace).
// port of run_container_andnot from CRoaring...
// https://github.com/RoaringBitmap/CRoaring/blob/master/src/containers/run.c#L435-L496
func (rc *runContainer16) AndNotRunContainer16(b *runContainer16) *runContainer16 {
if len(b.iv) == 0 || len(rc.iv) == 0 {
return rc
}
dst := newRunContainer16()
apos := 0
bpos := 0
a := rc
astart := a.iv[apos].start
alast := a.iv[apos].last()
bstart := b.iv[bpos].start
blast := b.iv[bpos].last()
alen := len(a.iv)
blen := len(b.iv)
for apos < alen && bpos < blen {
switch {
case alast < bstart:
// output the first run
dst.iv = append(dst.iv, newInterval16Range(astart, alast))
apos++
if apos < alen {
astart = a.iv[apos].start
alast = a.iv[apos].last()
}
case blast < astart:
// exit the second run
bpos++
if bpos < blen {
bstart = b.iv[bpos].start
blast = b.iv[bpos].last()
}
default:
// a: [ ]
// b: [ ]
// alast >= bstart
// blast >= astart
if astart < bstart {
dst.iv = append(dst.iv, newInterval16Range(astart, bstart-1))
}
if alast > blast {
astart = blast + 1
} else {
apos++
if apos < alen {
astart = a.iv[apos].start
alast = a.iv[apos].last()
}
}
}
}
if apos < alen {
dst.iv = append(dst.iv, newInterval16Range(astart, alast))
apos++
if apos < alen {
dst.iv = append(dst.iv, a.iv[apos:]...)
}
}
return dst
}
func (rc *runContainer16) numberOfRuns() (nr int) {
return len(rc.iv)
}
func (rc *runContainer16) containerType() contype {
return run16Contype
}
func (rc *runContainer16) equals16(srb *runContainer16) bool {
// Check if the containers are the same object.
if rc == srb {
return true
}
if len(srb.iv) != len(rc.iv) {
return false
}
for i, v := range rc.iv {
if v != srb.iv[i] {
return false
}
}
return true
}
// compile time verify we meet interface requirements
var _ container = &runContainer16{}
func (rc *runContainer16) clone() container {
return newRunContainer16CopyIv(rc.iv)
}
func (rc *runContainer16) minimum() uint16 {
return rc.iv[0].start // assume not empty
}
func (rc *runContainer16) maximum() uint16 {
return rc.iv[len(rc.iv)-1].last() // assume not empty
}
func (rc *runContainer16) isFull() bool {
return (len(rc.iv) == 1) && ((rc.iv[0].start == 0) && (rc.iv[0].last() == MaxUint16))
}
func (rc *runContainer16) and(a container) container {
if rc.isFull() {
return a.clone()
}
switch c := a.(type) {
case *runContainer16:
return rc.intersect(c)
case *arrayContainer:
return rc.andArray(c)
case *bitmapContainer:
return rc.andBitmapContainer(c)
}
panic("unsupported container type")
}
func (rc *runContainer16) andCardinality(a container) int {
switch c := a.(type) {
case *runContainer16:
return int(rc.intersectCardinality(c))
case *arrayContainer:
return rc.andArrayCardinality(c)
case *bitmapContainer:
return rc.andBitmapContainerCardinality(c)
}
panic("unsupported container type")
}
// andBitmapContainer finds the intersection of rc and b.
func (rc *runContainer16) andBitmapContainer(bc *bitmapContainer) container {
bc2 := newBitmapContainerFromRun(rc)
return bc2.andBitmap(bc)
}
func (rc *runContainer16) andArrayCardinality(ac *arrayContainer) int {
pos := 0
answer := 0
maxpos := ac.getCardinality()
if maxpos == 0 {
return 0 // won't happen in actual code
}
v := ac.content[pos]
mainloop:
for _, p := range rc.iv {
for v < p.start {
pos++
if pos == maxpos {
break mainloop
}
v = ac.content[pos]
}
for v <= p.last() {
answer++
pos++
if pos == maxpos {
break mainloop
}
v = ac.content[pos]
}
}
return answer
}
func (rc *runContainer16) iand(a container) container {
if rc.isFull() {
return a.clone()
}
switch c := a.(type) {
case *runContainer16:
return rc.inplaceIntersect(c)
case *arrayContainer:
return rc.andArray(c)
case *bitmapContainer:
return rc.iandBitmapContainer(c)
}
panic("unsupported container type")
}
func (rc *runContainer16) inplaceIntersect(rc2 *runContainer16) container {
// TODO: optimize by doing less allocation, possibly?
// sect will be new
sect := rc.intersect(rc2)
*rc = *sect
return rc
}
func (rc *runContainer16) iandBitmapContainer(bc *bitmapContainer) container {
isect := rc.andBitmapContainer(bc)
*rc = *newRunContainer16FromContainer(isect)
return rc
}
func (rc *runContainer16) andArray(ac *arrayContainer) container {
if len(rc.iv) == 0 {
return newArrayContainer()
}
acCardinality := ac.getCardinality()
c := newArrayContainerCapacity(acCardinality)
for rlePos, arrayPos := 0, 0; arrayPos < acCardinality; {
iv := rc.iv[rlePos]
arrayVal := ac.content[arrayPos]
for iv.last() < arrayVal {
rlePos++
if rlePos == len(rc.iv) {
return c
}
iv = rc.iv[rlePos]
}
if iv.start > arrayVal {
arrayPos = advanceUntil(ac.content, arrayPos, len(ac.content), iv.start)
} else {
c.content = append(c.content, arrayVal)
arrayPos++
}
}
return c
}
func (rc *runContainer16) andNot(a container) container {
switch c := a.(type) {
case *arrayContainer:
return rc.andNotArray(c)
case *bitmapContainer:
return rc.andNotBitmap(c)
case *runContainer16:
return rc.andNotRunContainer16(c)
}
panic("unsupported container type")
}
func (rc *runContainer16) fillLeastSignificant16bits(x []uint32, i int, mask uint32) {
k := 0
var val int64
for _, p := range rc.iv {
n := p.runlen()
for j := int64(0); j < n; j++ {
val = int64(p.start) + j
x[k+i] = uint32(val) | mask
k++
}
}
}
func (rc *runContainer16) getShortIterator() shortPeekable {
return rc.newRunIterator16()
}
func (rc *runContainer16) getReverseIterator() shortIterable {
return rc.newRunReverseIterator16()
}
func (rc *runContainer16) getManyIterator() manyIterable {
return rc.newManyRunIterator16()
}
// add the values in the range [firstOfRange, endx). endx
// is still abe to express 2^16 because it is an int not an uint16.
func (rc *runContainer16) iaddRange(firstOfRange, endx int) container {
if firstOfRange >= endx {
panic(fmt.Sprintf("invalid %v = endx >= firstOfRange", endx))
}
addme := newRunContainer16TakeOwnership([]interval16{
{
start: uint16(firstOfRange),
length: uint16(endx - 1 - firstOfRange),
},
})
*rc = *rc.union(addme)
return rc
}
// remove the values in the range [firstOfRange,endx)
func (rc *runContainer16) iremoveRange(firstOfRange, endx int) container {
if firstOfRange >= endx {
panic(fmt.Sprintf("request to iremove empty set [%v, %v),"+
" nothing to do.", firstOfRange, endx))
//return rc
}
x := newInterval16Range(uint16(firstOfRange), uint16(endx-1))
rc.isubtract(x)
return rc
}
// not flip the values in the range [firstOfRange,endx)
func (rc *runContainer16) not(firstOfRange, endx int) container {
if firstOfRange >= endx {
panic(fmt.Sprintf("invalid %v = endx >= firstOfRange = %v", endx, firstOfRange))
}
return rc.Not(firstOfRange, endx)
}
// Not flips the values in the range [firstOfRange,endx).
// This is not inplace. Only the returned value has the flipped bits.
//
// Currently implemented as (!A intersect B) union (A minus B),
// where A is rc, and B is the supplied [firstOfRange, endx) interval.
//
// TODO(time optimization): convert this to a single pass
// algorithm by copying AndNotRunContainer16() and modifying it.
// Current routine is correct but
// makes 2 more passes through the arrays than should be
// strictly necessary. Measure both ways though--this may not matter.
//
func (rc *runContainer16) Not(firstOfRange, endx int) *runContainer16 {
if firstOfRange >= endx {
panic(fmt.Sprintf("invalid %v = endx >= firstOfRange == %v", endx, firstOfRange))
}
if firstOfRange >= endx {
return rc.Clone()
}
a := rc
// algo:
// (!A intersect B) union (A minus B)
nota := a.invert()
bs := []interval16{newInterval16Range(uint16(firstOfRange), uint16(endx-1))}
b := newRunContainer16TakeOwnership(bs)
notAintersectB := nota.intersect(b)
aMinusB := a.AndNotRunContainer16(b)
rc2 := notAintersectB.union(aMinusB)
return rc2
}
// equals is now logical equals; it does not require the
// same underlying container type.
func (rc *runContainer16) equals(o container) bool {
srb, ok := o.(*runContainer16)
if !ok {
// maybe value instead of pointer
val, valok := o.(*runContainer16)
if valok {
srb = val
ok = true
}
}
if ok {
// Check if the containers are the same object.
if rc == srb {
return true
}
if len(srb.iv) != len(rc.iv) {
return false
}
for i, v := range rc.iv {
if v != srb.iv[i] {
return false
}
}
return true
}
// use generic comparison
if o.getCardinality() != rc.getCardinality() {
return false
}
rit := rc.getShortIterator()
bit := o.getShortIterator()
//k := 0
for rit.hasNext() {
if bit.next() != rit.next() {
return false
}
//k++
}
return true
}
func (rc *runContainer16) iaddReturnMinimized(x uint16) container {
rc.Add(x)
return rc
}
func (rc *runContainer16) iadd(x uint16) (wasNew bool) {
return rc.Add(x)
}
func (rc *runContainer16) iremoveReturnMinimized(x uint16) container {
rc.removeKey(x)
return rc
}
func (rc *runContainer16) iremove(x uint16) bool {
return rc.removeKey(x)
}
func (rc *runContainer16) or(a container) container {
if rc.isFull() {
return rc.clone()
}
switch c := a.(type) {
case *runContainer16:
return rc.union(c)
case *arrayContainer:
return rc.orArray(c)
case *bitmapContainer:
return rc.orBitmapContainer(c)
}
panic("unsupported container type")
}
func (rc *runContainer16) orCardinality(a container) int {
switch c := a.(type) {
case *runContainer16:
return int(rc.unionCardinality(c))
case *arrayContainer:
return rc.orArrayCardinality(c)
case *bitmapContainer:
return rc.orBitmapContainerCardinality(c)
}
panic("unsupported container type")
}
// orBitmapContainer finds the union of rc and bc.
func (rc *runContainer16) orBitmapContainer(bc *bitmapContainer) container {
bc2 := newBitmapContainerFromRun(rc)
return bc2.iorBitmap(bc)
}
func (rc *runContainer16) andBitmapContainerCardinality(bc *bitmapContainer) int {
answer := 0
for i := range rc.iv {
answer += bc.getCardinalityInRange(uint(rc.iv[i].start), uint(rc.iv[i].last())+1)
}
//bc.computeCardinality()
return answer
}
func (rc *runContainer16) orBitmapContainerCardinality(bc *bitmapContainer) int {
return rc.getCardinality() + bc.getCardinality() - rc.andBitmapContainerCardinality(bc)
}
// orArray finds the union of rc and ac.
func (rc *runContainer16) orArray(ac *arrayContainer) container {
bc1 := newBitmapContainerFromRun(rc)
bc2 := ac.toBitmapContainer()
return bc1.orBitmap(bc2)
}
// orArray finds the union of rc and ac.
func (rc *runContainer16) orArrayCardinality(ac *arrayContainer) int {
return ac.getCardinality() + rc.getCardinality() - rc.andArrayCardinality(ac)
}
func (rc *runContainer16) ior(a container) container {
if rc.isFull() {
return rc
}
switch c := a.(type) {
case *runContainer16:
return rc.inplaceUnion(c)
case *arrayContainer:
return rc.iorArray(c)
case *bitmapContainer:
return rc.iorBitmapContainer(c)
}
panic("unsupported container type")
}
func (rc *runContainer16) inplaceUnion(rc2 *runContainer16) container {
for _, p := range rc2.iv {
last := int64(p.last())
for i := int64(p.start); i <= last; i++ {
rc.Add(uint16(i))
}
}
return rc
}
func (rc *runContainer16) iorBitmapContainer(bc *bitmapContainer) container {
it := bc.getShortIterator()
for it.hasNext() {
rc.Add(it.next())
}
return rc
}
func (rc *runContainer16) iorArray(ac *arrayContainer) container {
it := ac.getShortIterator()
for it.hasNext() {
rc.Add(it.next())
}
return rc
}
// lazyIOR is described (not yet implemented) in
// this nice note from @lemire on
// https://github.com/RoaringBitmap/roaring/pull/70#issuecomment-263613737
//
// Description of lazyOR and lazyIOR from @lemire:
//
// Lazy functions are optional and can be simply
// wrapper around non-lazy functions.
//
// The idea of "laziness" is as follows. It is
// inspired by the concept of lazy evaluation
// you might be familiar with (functional programming
// and all that). So a roaring bitmap is
// such that all its containers are, in some
// sense, chosen to use as little memory as
// possible. This is nice. Also, all bitsets
// are "cardinality aware" so that you can do
// fast rank/select queries, or query the
// cardinality of the whole bitmap... very fast,
// without latency.
//
// However, imagine that you are aggregating 100
// bitmaps together. So you OR the first two, then OR
// that with the third one and so forth. Clearly,
// intermediate bitmaps don't need to be as
// compressed as possible, right? They can be
// in a "dirty state". You only need the end
// result to be in a nice state... which you
// can achieve by calling repairAfterLazy at the end.
//
// The Java/C code does something special for
// the in-place lazy OR runs. The idea is that
// instead of taking two run containers and
// generating a new one, we actually try to
// do the computation in-place through a
// technique invented by @gssiyankai (pinging him!).
// What you do is you check whether the host
// run container has lots of extra capacity.
// If it does, you move its data at the end of
// the backing array, and then you write
// the answer at the beginning. What this
// trick does is minimize memory allocations.
//
func (rc *runContainer16) lazyIOR(a container) container {
// not lazy at the moment
return rc.ior(a)
}
// lazyOR is described above in lazyIOR.
func (rc *runContainer16) lazyOR(a container) container {
// not lazy at the moment
return rc.or(a)
}
func (rc *runContainer16) intersects(a container) bool {
// TODO: optimize by doing inplace/less allocation, possibly?
isect := rc.and(a)
return isect.getCardinality() > 0
}
func (rc *runContainer16) xor(a container) container {
switch c := a.(type) {
case *arrayContainer:
return rc.xorArray(c)
case *bitmapContainer:
return rc.xorBitmap(c)
case *runContainer16:
return rc.xorRunContainer16(c)
}
panic("unsupported container type")
}
func (rc *runContainer16) iandNot(a container) container {
switch c := a.(type) {
case *arrayContainer:
return rc.iandNotArray(c)
case *bitmapContainer:
return rc.iandNotBitmap(c)
case *runContainer16:
return rc.iandNotRunContainer16(c)
}
panic("unsupported container type")
}
// flip the values in the range [firstOfRange,endx)
func (rc *runContainer16) inot(firstOfRange, endx int) container {
if firstOfRange >= endx {
panic(fmt.Sprintf("invalid %v = endx >= firstOfRange = %v", endx, firstOfRange))
}
// TODO: minimize copies, do it all inplace; not() makes a copy.
rc = rc.Not(firstOfRange, endx)
return rc
}
func (rc *runContainer16) getCardinality() int {
return int(rc.cardinality())
}
func (rc *runContainer16) rank(x uint16) int {
n := int64(len(rc.iv))
xx := int64(x)
w, already, _ := rc.search(xx, nil)
if w < 0 {
return 0
}
if !already && w == n-1 {
return rc.getCardinality()
}
var rnk int64
if !already {
for i := int64(0); i <= w; i++ {
rnk += rc.iv[i].runlen()
}
return int(rnk)
}
for i := int64(0); i < w; i++ {
rnk += rc.iv[i].runlen()
}
rnk += int64(x-rc.iv[w].start) + 1
return int(rnk)
}
func (rc *runContainer16) selectInt(x uint16) int {
return rc.selectInt16(x)
}
func (rc *runContainer16) andNotRunContainer16(b *runContainer16) container {
return rc.AndNotRunContainer16(b)
}
func (rc *runContainer16) andNotArray(ac *arrayContainer) container {
rcb := rc.toBitmapContainer()
acb := ac.toBitmapContainer()
return rcb.andNotBitmap(acb)
}
func (rc *runContainer16) andNotBitmap(bc *bitmapContainer) container {
rcb := rc.toBitmapContainer()
return rcb.andNotBitmap(bc)
}
func (rc *runContainer16) toBitmapContainer() *bitmapContainer {
bc := newBitmapContainer()
for i := range rc.iv {
bc.iaddRange(int(rc.iv[i].start), int(rc.iv[i].last())+1)
}
bc.computeCardinality()
return bc
}
func (rc *runContainer16) iandNotRunContainer16(x2 *runContainer16) container {
rcb := rc.toBitmapContainer()
x2b := x2.toBitmapContainer()
rcb.iandNotBitmapSurely(x2b)
// TODO: check size and optimize the return value
// TODO: is inplace modification really required? If not, elide the copy.
rc2 := newRunContainer16FromBitmapContainer(rcb)
*rc = *rc2
return rc
}
func (rc *runContainer16) iandNotArray(ac *arrayContainer) container {
rcb := rc.toBitmapContainer()
acb := ac.toBitmapContainer()
rcb.iandNotBitmapSurely(acb)
// TODO: check size and optimize the return value
// TODO: is inplace modification really required? If not, elide the copy.
rc2 := newRunContainer16FromBitmapContainer(rcb)
*rc = *rc2
return rc
}
func (rc *runContainer16) iandNotBitmap(bc *bitmapContainer) container {
rcb := rc.toBitmapContainer()
rcb.iandNotBitmapSurely(bc)
// TODO: check size and optimize the return value
// TODO: is inplace modification really required? If not, elide the copy.
rc2 := newRunContainer16FromBitmapContainer(rcb)
*rc = *rc2
return rc
}
func (rc *runContainer16) xorRunContainer16(x2 *runContainer16) container {
rcb := rc.toBitmapContainer()
x2b := x2.toBitmapContainer()
return rcb.xorBitmap(x2b)
}
func (rc *runContainer16) xorArray(ac *arrayContainer) container {
rcb := rc.toBitmapContainer()
acb := ac.toBitmapContainer()
return rcb.xorBitmap(acb)
}
func (rc *runContainer16) xorBitmap(bc *bitmapContainer) container {
rcb := rc.toBitmapContainer()
return rcb.xorBitmap(bc)
}
// convert to bitmap or array *if needed*
func (rc *runContainer16) toEfficientContainer() container {
// runContainer16SerializedSizeInBytes(numRuns)
sizeAsRunContainer := rc.getSizeInBytes()
sizeAsBitmapContainer := bitmapContainerSizeInBytes()
card := int(rc.cardinality())
sizeAsArrayContainer := arrayContainerSizeInBytes(card)
if sizeAsRunContainer <= minOfInt(sizeAsBitmapContainer, sizeAsArrayContainer) {
return rc
}
if card <= arrayDefaultMaxSize {
return rc.toArrayContainer()
}
bc := newBitmapContainerFromRun(rc)
return bc
}
func (rc *runContainer16) toArrayContainer() *arrayContainer {
ac := newArrayContainer()
for i := range rc.iv {
ac.iaddRange(int(rc.iv[i].start), int(rc.iv[i].last())+1)
}
return ac
}
func newRunContainer16FromContainer(c container) *runContainer16 {
switch x := c.(type) {
case *runContainer16:
return x.Clone()
case *arrayContainer:
return newRunContainer16FromArray(x)
case *bitmapContainer:
return newRunContainer16FromBitmapContainer(x)
}
panic("unsupported container type")
}
// And finds the intersection of rc and b.
func (rc *runContainer16) And(b *Bitmap) *Bitmap {
out := NewBitmap()
for _, p := range rc.iv {
plast := p.last()
for i := p.start; i <= plast; i++ {
if b.Contains(uint32(i)) {
out.Add(uint32(i))
}
}
}
return out
}
// Xor returns the exclusive-or of rc and b.
func (rc *runContainer16) Xor(b *Bitmap) *Bitmap {
out := b.Clone()
for _, p := range rc.iv {
plast := p.last()
for v := p.start; v <= plast; v++ {
w := uint32(v)
if out.Contains(w) {
out.RemoveRange(uint64(w), uint64(w+1))
} else {
out.Add(w)
}
}
}
return out
}
// Or returns the union of rc and b.
func (rc *runContainer16) Or(b *Bitmap) *Bitmap {
out := b.Clone()
for _, p := range rc.iv {
plast := p.last()
for v := p.start; v <= plast; v++ {
out.Add(uint32(v))
}
}
return out
}
// serializedSizeInBytes returns the number of bytes of memory
// required by this runContainer16. This is for the
// Roaring format, as specified https://github.com/RoaringBitmap/RoaringFormatSpec/
func (rc *runContainer16) serializedSizeInBytes() int {
// number of runs in one uint16, then each run
// needs two more uint16
return 2 + len(rc.iv)*4
}
func (rc *runContainer16) addOffset(x uint16) []container {
low := newRunContainer16()
high := newRunContainer16()
for _, iv := range rc.iv {
val := int(iv.start) + int(x)
finalVal := int(val) + int(iv.length)
if val <= 0xffff {
if finalVal <= 0xffff {
low.iv = append(low.iv, interval16{uint16(val), iv.length})
} else {
low.iv = append(low.iv, interval16{uint16(val), uint16(0xffff - val)})
high.iv = append(high.iv, interval16{uint16(0), uint16(finalVal & 0xffff)})
}
} else {
high.iv = append(high.iv, interval16{uint16(val & 0xffff), iv.length})
}
}
return []container{low, high}
}