Merge pull request #447 from kuba--/union-run-run

Add unionRunRunInPlace
This commit is contained in:
Kuba Podgórski 2020-07-02 11:05:27 +02:00 committed by GitHub
commit 549c98dc64
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2 changed files with 449 additions and 2 deletions

View file

@ -3141,8 +3141,7 @@ func (c *Container) unionInPlace(other *Container) *Container {
c = c.runToBitmap()
return unionBitmapArrayInPlace(c, other)
case containerRun:
c = c.runToBitmap()
return unionBitmapRunInPlace(c, other)
return unionRunRunInPlace(c, other)
}
}
panic(fmt.Errorf("invalid union op: unknown types %d/%d", c.typ(), other.typ()))
@ -4712,6 +4711,198 @@ func unionBitmapBitmapInPlace(a, b *Container) *Container {
return a
}
// unions run b into run a, mutating a in place.
func unionRunRunInPlace(a, b *Container) *Container {
statsHit("unionInPlace/RunRun")
a = a.Thaw()
runs, n := unionInterval16InPlace(a.runs(), b.runs())
a.setRuns(runs)
a.setN(n)
return a
}
// unionInterval16InPlace merges two slice of intervals in place (in a).
// The main concept is to go value by value (instead of interval by interval)
// and count `.start` and `.last` points.
// If we get the `state == 0` it means we just built a new interval (`val`),
// and we can set it in `a` at the possition `off`
func unionInterval16InPlace(a, b []interval16) ([]interval16, int32) {
n := int32(0)
an, bn := len(a), len(b)
var (
// ai - index of a, aii - subindex (0: a[ai].start, 1: a[ai].last).
ai, aii int = 0, 0
// bi - index of b, bii - subindex (0: b[bi].start, 1: b[bi].last).
bi, bii int = 0, 0
// Offset of a - next available index to set.
off int = 0
// Value to set/append to a at off
val interval16
// Current state - state equals 0 means we are clear (out of intervals)
// When we start a new interval we add +1 when we get out of interval we add -1.
state int
// subindex (ii) to state mapping
// .start: [0] -> 1
// .last: [1] -> -1
iiMap = [2]int{1, -1}
// If fromB is equal 2 it means that both val.start and val.last come from b,
// so we need to extend a, first
fromB int8
// eval functions evaluates global state and value
eval = func(arr [2]uint16, ii int, onlyB bool) {
if state == 0 && ii == 0 {
// we are clear and start a new interval
val.start = arr[ii]
if onlyB {
fromB++
}
}
state += iiMap[ii]
if state == 0 {
// we just got out of interval
// ii == 1
val.last = arr[ii]
if onlyB {
fromB++
}
}
}
// eval2 function is a special variant for eval function
// it's only used when two interval endings are equal, e.g.:
// a: ------------------|
// b: -----------|
// the most important part is to change the global for both endings
// before we check if we're getting out of interval and start the new one.
eval2 = func(arr [2]uint16, i1, i2 int) {
if state == 0 && (i1 == 0 || i2 == 0) {
// we are clear and start a new interval
val.start = arr[i1]
}
state += iiMap[i1]
state += iiMap[i2]
if state == 0 {
// (i1 == 1 || i2 == 1)
// we just got out of interval
val.last = arr[i1]
}
}
)
for {
// av, bv reflects a[ai] and b[bi] intervals as an array,
// so we can internally iterate over values (points).
var av, bv [2]uint16
if ai < an && bi < bn {
av[0], av[1] = a[ai].start, a[ai].last
bv[0], bv[1] = b[bi].start, b[bi].last
if av[aii] < bv[bii] {
// a: |-------------------
// b: |-------------------
eval(av, aii, false)
aii++
} else if av[aii] == bv[bii] {
// a: |-------------------
// b: |-------------------
// or
// a: ------------------|
// b: |-------------------
// or
// a: ------------------|
// b: |------------|
// ...
eval2(av, aii, bii)
aii++
bii++
} else { // bv[bii] < av[aii]
// a: |-------------------
// b: |-------------------
eval(bv, bii, true)
bii++
}
} else if ai < an { // only a left
av[0], av[1] = a[ai].start, a[ai].last
eval(av, aii, false)
aii++
} else if bi < bn { // only b left
bv[0], bv[1] = b[bi].start, b[bi].last
eval(bv, bii, false)
bii++
} else {
break
}
if state == 0 {
if fromB == 2 {
// val.start and val.last come from b, so we need to extend a, first
a = append(a, interval16{})
copy(a[off+1:], a[off:])
ai++
an++
}
fromB = 0
a, off = appendInterval16At(a, val, off)
n += int32(val.last) - int32(val.start) + 1
}
if aii == 2 {
// move to the next a's interval
aii = 0
ai++
}
if bii == 2 {
// move to the next b's interval
bii = 0
bi++
}
}
if len(a) > 0 {
a = a[:off]
}
return a, n
}
// appendInterval16At appends or sets val in a at off position
// The function returns modified a ([]interval16) and new offset (off)
func appendInterval16At(a []interval16, val interval16, off int) ([]interval16, int) {
if off > 0 && int32(val.start)-int32(a[off-1].last) <= 1 {
a[off-1].last = val.last
return a, off
}
if off == len(a) {
a = append(a, val)
off++
return a, off
}
a[off] = val
off++
return a, off
}
func difference(a, b *Container) *Container {
if a.N() == 0 || b.N() == maxContainerVal+1 {
return nil

View file

@ -721,6 +721,188 @@ func TestUnionMixed(t *testing.T) {
})
}
func TestUnionInterval16InPlace(t *testing.T) {
tests := []struct {
name string
a []interval16
b []interval16
expected []interval16
expectedN int32
}{
{
name: "firstBitUnset lastBitSet",
a: []interval16{interval16{1, 10}},
b: []interval16{interval16{10, 10}},
expected: []interval16{interval16{1, 10}},
expectedN: 10,
},
{
name: "single overlap",
a: []interval16{interval16{1, 10}, interval16{21, 28}},
b: []interval16{interval16{8, 12}},
expected: []interval16{interval16{1, 12}, interval16{21, 28}},
expectedN: 20,
},
{
name: "nested intervals",
a: []interval16{interval16{3, 13}, interval16{17, 20}},
b: []interval16{interval16{1, 4}, interval16{6, 7}, interval16{8, 9}, interval16{10, 11}, interval16{14, 17}},
expected: []interval16{interval16{1, 20}},
expectedN: 20,
},
{
name: "no overlap",
a: []interval16{interval16{3, 4}, interval16{7, 8}},
b: []interval16{interval16{1, 2}, interval16{5, 6}, interval16{9, 10}},
expected: []interval16{interval16{1, 10}},
expectedN: 10,
},
{
name: "b in a",
a: []interval16{interval16{1, 10}},
b: []interval16{interval16{5, 7}},
expected: []interval16{interval16{1, 10}},
expectedN: 10,
},
{
name: "a eq b",
a: []interval16{interval16{1, 10}},
b: []interval16{interval16{1, 10}},
expected: []interval16{interval16{1, 10}},
expectedN: 10,
},
{
name: "a in b",
a: []interval16{interval16{5, 7}},
b: []interval16{interval16{1, 10}},
expected: []interval16{interval16{1, 10}},
expectedN: 10,
},
{
name: "a ahead b",
a: []interval16{interval16{1, 2}, interval16{3, 4}, interval16{5, 7}},
b: []interval16{interval16{10, 11}, interval16{12, 13}, interval16{14, 15}},
expected: []interval16{interval16{1, 7}, interval16{10, 15}},
expectedN: 13,
},
{
name: "b ahead a",
a: []interval16{interval16{10, 11}, interval16{12, 13}, interval16{14, 15}},
b: []interval16{interval16{1, 2}, interval16{3, 4}, interval16{5, 7}},
expected: []interval16{interval16{1, 7}, interval16{10, 15}},
expectedN: 13,
},
{
name: "empty a and b",
a: []interval16{},
b: []interval16{},
expected: []interval16{},
expectedN: 0,
},
{
name: "empty a",
a: []interval16{},
b: []interval16{interval16{1, 2}, interval16{3, 4}, interval16{5, 7}},
expected: []interval16{interval16{1, 7}},
expectedN: 7,
},
{
name: "empty b",
a: []interval16{interval16{1, 2}, interval16{3, 4}, interval16{5, 7}},
b: []interval16{},
expected: []interval16{interval16{1, 7}},
expectedN: 7,
},
{
name: "single a",
a: []interval16{interval16{1, 2}},
b: []interval16{},
expected: []interval16{interval16{1, 2}},
expectedN: 2,
},
{
name: "single b",
a: []interval16{},
b: []interval16{interval16{1, 2}},
expected: []interval16{interval16{1, 2}},
expectedN: 2,
},
{
name: "single a single b",
a: []interval16{interval16{3, 4}},
b: []interval16{interval16{1, 2}},
expected: []interval16{interval16{1, 4}},
expectedN: 4,
},
{
name: "oddBitsSet lastBitUnset",
a: []interval16{interval16{1, 1}, interval16{3, 3}, interval16{5, 5}},
b: []interval16{interval16{0, 4}},
expected: []interval16{interval16{0, 5}},
expectedN: 6,
},
{
name: "all bits",
a: []interval16{interval16{1, 1}, interval16{3, 3}, interval16{5, 5}},
b: []interval16{interval16{0, 0}, interval16{2, 2}, interval16{4, 4}},
expected: []interval16{interval16{0, 5}},
expectedN: 6,
},
{
name: "short a long b",
a: []interval16{interval16{5, 5}, interval16{7, 7}, interval16{9, 10}, interval16{12, 12}, interval16{15, 17}, interval16{19, 20}},
b: []interval16{interval16{1, 10}, interval16{12, 12}, interval16{14, 18}},
expected: []interval16{interval16{1, 10}, interval16{12, 12}, interval16{14, 20}},
expectedN: 18,
},
{
name: "common endings",
a: []interval16{interval16{1, 5}, interval16{15, 20}, interval16{25, 35}},
b: []interval16{interval16{1, 10}, interval16{15, 20}, interval16{30, 35}},
expected: []interval16{interval16{1, 10}, interval16{15, 20}, interval16{25, 35}},
expectedN: 27,
},
{
name: "common endings and overlap",
a: []interval16{interval16{1, 5}, interval16{10, 15}},
b: []interval16{interval16{5, 10}, interval16{12, 17}},
expected: []interval16{interval16{1, 17}},
expectedN: 17,
},
{
name: "no common endings and overlap",
a: []interval16{interval16{5, 10}, interval16{12, 17}},
b: []interval16{interval16{0, 11}, interval16{15, 20}},
expected: []interval16{interval16{0, 20}},
expectedN: 21,
},
}
for _, tc := range tests {
t.Run(tc.name, func(t *testing.T) {
bb := make([]interval16, len(tc.b))
copy(bb, tc.b)
runs, n := unionInterval16InPlace(tc.a, tc.b)
for i, v := range tc.expected {
if runs[i] != v {
t.Fatalf("runs expected: %+v, got: %+v", tc.expected, runs)
}
}
if n != tc.expectedN {
t.Fatalf("N expected: %d, got: %d", tc.expectedN, n)
}
for i, v := range bb {
if tc.b[i] != v {
t.Fatalf("b changed - runs expected: %+v, got: %+v", bb, tc.b)
}
}
})
}
}
func TestIntersectMixed(t *testing.T) {
a := NewContainerRun([]interval16{{start: 5, last: 10}})
b := NewContainerArray([]uint16{1, 4, 5, 7, 10, 11, 12})
@ -4149,3 +4331,77 @@ func TestDifferenceInPlace_N(t *testing.T) {
t.Error("expected difference of containers to have n=0")
}
}
func BenchmarkUnionRunRunInPlace(bm *testing.B) {
bm.Skip("Skipping long running BenchmarkUnionRunRunInPlace")
runs := []struct {
name string
fn func() []interval16
}{
{"FirstBitSet", runFirstBitSet},
{"LastBitSet", runLastBitSet},
{"FirstBitUnset", runFirstBitUnset},
{"LastBitUnset", runLastBitUnset},
{"InnerBitsSet", runInnerBitsSet},
{"OuterBitsSet", runOuterBitsSet},
{"OddBitsSet", runOddBitsSet},
{"EvenBitsSet", runEvenBitsSet},
}
for _, ar := range runs {
for _, br := range runs {
bm.Run("RunToBitmapRun-"+ar.name+"_"+br.name, func(bm *testing.B) {
for i := 0; i < bm.N; i++ {
arun := doContainer(containerRun, ar.fn())
brun := doContainer(containerRun, br.fn())
abmp := arun.runToBitmap()
unionBitmapRunInPlace(abmp, brun)
}
})
bm.Run("RunRun-"+ar.name+"_"+br.name, func(bm *testing.B) {
for i := 0; i < bm.N; i++ {
arun := doContainer(containerRun, ar.fn())
brun := doContainer(containerRun, br.fn())
unionRunRunInPlace(arun, brun)
}
})
}
}
}
func TestUnionRunRunInPlaceBitwiseCompare(t *testing.T) {
runs := []struct {
name string
run []interval16
}{
{name: "FirstBitSet", run: runFirstBitSet()},
{name: "LastBitSet", run: runLastBitSet()},
{name: "FirstBitUnset", run: runFirstBitUnset()},
{name: "LastBitUnset", run: runLastBitUnset()},
{name: "InnerBitsSet", run: runInnerBitsSet()},
{name: "OuterBitsSet", run: runOuterBitsSet()},
{name: "OddBitsSet", run: runOddBitsSet()},
{name: "EvenBitsSet", run: runEvenBitsSet()},
}
for _, a := range runs {
for _, b := range runs {
t.Run(a.name+"-"+b.name, func(t *testing.T) {
arun := doContainer(containerRun, a.run)
brun := doContainer(containerRun, b.run)
out1 := unionBitmapRunInPlace(arun.runToBitmap(), brun)
out2 := unionRunRunInPlace(arun, brun)
err := out1.BitwiseCompare(out2.runToBitmap())
if err != nil {
t.Fatal(err)
}
})
}
}
}