// Copyright 2017 Pilosa Corp. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. package roaring import ( "bytes" "encoding/hex" "fmt" "io/ioutil" "reflect" "runtime" "strings" "testing" "github.com/pkg/errors" ) // String produces a human viewable string of the contents. func (iv interval16) String() string { return fmt.Sprintf("[%d, %d]", iv.start, iv.last) } func TestRunAppendInterval(t *testing.T) { a := NewContainerRun(nil) tests := []struct { base []interval16 app interval16 exp int32 }{ { base: []interval16{}, app: interval16{start: 22, last: 25}, exp: 4, }, { base: []interval16{{start: 20, last: 23}}, app: interval16{start: 22, last: 25}, exp: 2, }, { base: []interval16{{start: 20, last: 23}}, app: interval16{start: 21, last: 22}, exp: 0, }, { base: []interval16{{start: 20, last: 23}}, app: interval16{start: 19, last: 25}, exp: 2, // runAppendInterval explicitly does not support intervals whose start is < c.runs[-1].start }, } for i, test := range tests { a.setRuns(test.base) if n := a.runAppendInterval(test.app); n != test.exp { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, n) } } } func TestInterval16RunLen(t *testing.T) { iv := interval16{start: 7, last: 9} if iv.runlen() != 3 { t.Fatalf("should be 3") } iv = interval16{start: 7, last: 7} if iv.runlen() != 1 { t.Fatalf("should be 1") } } func TestContainerRunAdd(t *testing.T) { c := NewContainerRun(nil) tests := []struct { op uint16 exp []interval16 }{ {1, []interval16{{start: 1, last: 1}}}, {2, []interval16{{start: 1, last: 2}}}, {4, []interval16{{start: 1, last: 2}, {start: 4, last: 4}}}, {3, []interval16{{start: 1, last: 4}}}, {10, []interval16{{start: 1, last: 4}, {start: 10, last: 10}}}, {7, []interval16{{start: 1, last: 4}, {start: 7, last: 7}, {start: 10, last: 10}}}, {6, []interval16{{start: 1, last: 4}, {start: 6, last: 7}, {start: 10, last: 10}}}, {0, []interval16{{start: 0, last: 4}, {start: 6, last: 7}, {start: 10, last: 10}}}, {8, []interval16{{start: 0, last: 4}, {start: 6, last: 8}, {start: 10, last: 10}}}, } for _, test := range tests { c.setMapped(true) c, changed := c.add(test.op) if !changed { t.Fatalf("result of adding new bit should be true: %v", c.runs()) } if !reflect.DeepEqual(c.runs(), test.exp) { t.Fatalf("Should have %v, but got %v after adding %v", test.exp, c.runs(), test.op) } if c.Mapped() { t.Fatalf("container should not be mapped after adding bit %v", test.op) } } } func TestContainerRunAdd2(t *testing.T) { c := NewContainerRun(nil) c, ret := c.add(0) if !ret { t.Fatalf("result of adding new bit should be true: %v", c.runs()) } if !reflect.DeepEqual(c.runs(), []interval16{{start: 0, last: 0}}) { t.Fatalf("should have 1 run of length 1, but have %v", c.runs()) } c, ret = c.add(0) if ret { t.Fatalf("result of adding existing bit should be false: %v", c.runs()) } } func TestRunCountRange(t *testing.T) { c := NewContainerRun(nil) cnt := c.runCountRange(2, 9) if cnt != 0 { t.Fatalf("should get 0 from empty container, but got: %v", cnt) } c.add(5) c.add(6) c.add(7) cnt = c.runCountRange(2, 9) if cnt != 3 { t.Fatalf("should get 3 from interval within range, but got: %v", cnt) } c.add(8) c.add(9) c.add(10) c.add(11) cnt = c.runCountRange(4, 8) if cnt != 3 { t.Fatalf("should get 3 from range overlaps front of interval, but got: %v", cnt) } cnt = c.runCountRange(5, 8) if cnt != 3 { t.Fatalf("should get 3 from range within interval, but got: %v", cnt) } cnt = c.runCountRange(6, 8) if cnt != 2 { t.Fatalf("should get 2 from range within interval, but got: %v", cnt) } cnt = c.runCountRange(3, 9) if cnt != 4 { t.Fatalf("should get 4 from range overlaps front of interval, but got: %v", cnt) } cnt = c.runCountRange(9, 14) if cnt != 3 { t.Fatalf("should get 3 from range overlaps back of interval, but got: %v", cnt) } cnt = c.runCountRange(8, 10) if cnt != 2 { t.Fatalf("should get 2 from range within interval, but got: %v", cnt) } cnt = c.runCountRange(8, 11) if cnt != 3 { t.Fatalf("should get 3 from range within interval, but got: %v", cnt) } cnt = c.runCountRange(8, 12) if cnt != 4 { t.Fatalf("should get 4 from range overlaps back of interval, but got: %v", cnt) } cnt = c.runCountRange(5, 12) if cnt != 7 { t.Fatalf("should get 7 from interval within range, but got: %v", cnt) } cnt = c.runCountRange(5, 11) if cnt != 6 { t.Fatalf("should get 6 from interval equal to range, but got: %v", cnt) } c.add(17) c.add(19) c.add(18) cnt = c.runCountRange(1, 22) if cnt != 10 { t.Fatalf("should get 10 from multiple ranges in interval, but got: %v", cnt) } c.add(13) c.add(14) cnt = c.runCountRange(6, 18) if cnt != 9 { t.Fatalf("should get 9 from multiple ranges overlapping both sides, but got: %v", cnt) } // verify that the disparate ops resulted in three separate runs cnt = c.countRuns() if cnt != 3 { t.Fatalf("should get 3 total runs, but got: %v [%v]", cnt, c.runs()) } } func TestRunContains(t *testing.T) { c := NewContainerRun(nil) if c.runContains(5) { t.Fatalf("empty run container should not contain 5") } c.add(5) if !c.runContains(5) { t.Fatalf("run container with 5 should contain 5") } c.add(6) c.add(7) c.add(9) c.add(10) c.add(11) if !c.runContains(10) { t.Fatalf("run container with 10 in second run should contain 10") } } func TestBitmapCountRange(t *testing.T) { c := NewContainerBitmap(0, nil) tests := []struct { start int32 end int32 bitmap []uint64 exp int32 }{ {start: 0, end: 1, bitmap: []uint64{1}, exp: 1}, {start: 2, end: 7, bitmap: []uint64{0xFFFFFFFFFFFFFF18}, exp: 2}, {start: 67, end: 68, bitmap: []uint64{0, 0x8}, exp: 1}, {start: 1, end: 68, bitmap: []uint64{0x3, 0x8, 0xF}, exp: 2}, {start: 1, end: 258, bitmap: []uint64{0xF, 0x8, 0xA, 0x4, 0xFFFFFFFFFFFFFFFF}, exp: 9}, {start: 66, end: 71, bitmap: []uint64{0xF, 0xFFFFFFFFFFFFFF18}, exp: 2}, {start: 63, end: 64, bitmap: []uint64{0x8000000000000000}, exp: 1}, } for i, test := range tests { c.setBitmap(test.bitmap) if ret := c.bitmapCountRange(test.start, test.end); ret != test.exp { t.Fatalf("test #%v count of %v from %v to %v should be %v but got %v", i, test.bitmap, test.start, test.end, test.exp, ret) } } } func TestIntersectionCountArrayBitmap3(t *testing.T) { a, b := NewContainerBitmapN(getFullBitmap(), maxContainerVal+1), NewContainerBitmapN(getFullBitmap(), maxContainerVal+1) res := intersectBitmapBitmap(a, b) if res.N() != res.count() || res.N() != maxContainerVal+1 { t.Fatalf("test #1 intersectCountBitmapBitmap fail orig: %v new: %v exp: %v", res.N(), res.count(), maxContainerVal+1) } a = a.bitmapToRun(0) res = intersectBitmapRun(b, a) if res.N() != res.count() || res.N() != maxContainerVal+1 { t.Fatalf("test #2 intersectCountBitmapRun fail orig: %v new: %v exp: %v", res.N(), res.count(), maxContainerVal+1) } b.bitmapToRun(0) res = intersectRunRun(a, b) n := intersectionCountRunRun(a, b) if res.N() != res.count() || res.N() != maxContainerVal+1 || res.N() != int32(n) { t.Fatalf("test #3 intersectCountRunRun fail orig: %v new: %v exp: %v", res.N(), res.count(), maxContainerVal+1) } } func TestIntersectionCountArrayBitmap2(t *testing.T) { a, b := NewContainerArray(nil), NewContainerBitmap(0, nil) tests := []struct { array []uint16 bitmap []uint64 exp int32 }{ { array: []uint16{0}, bitmap: []uint64{1}, exp: 1, }, { array: []uint16{0, 1}, bitmap: []uint64{3}, exp: 2, }, { array: []uint16{64, 128, 129, 2000}, bitmap: []uint64{932421, 2}, exp: 0, }, { array: []uint16{0, 65, 130, 195}, bitmap: []uint64{255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255}, exp: 4, }, { array: []uint16{63, 120, 543, 639, 12000}, bitmap: []uint64{0x8000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0x8000000000000000}, exp: 2, }, } for i, test := range tests { a.setArray(test.array) b.setBitmap(test.bitmap) ret := intersectionCountArrayBitmap(a, b) if ret != test.exp { t.Fatalf("test #%v intersectCountArrayBitmap fail received: %v exp: %v", i, ret, test.exp) } } } func TestRunRemove(t *testing.T) { c := NewContainerRun([]interval16{{start: 2, last: 10}, {start: 12, last: 13}, {start: 15, last: 16}}) tests := []struct { op uint16 exp []interval16 expRet bool }{ {2, []interval16{{start: 3, last: 10}, {start: 12, last: 13}, {start: 15, last: 16}}, true}, {10, []interval16{{start: 3, last: 9}, {start: 12, last: 13}, {start: 15, last: 16}}, true}, {12, []interval16{{start: 3, last: 9}, {start: 13, last: 13}, {start: 15, last: 16}}, true}, {13, []interval16{{start: 3, last: 9}, {start: 15, last: 16}}, true}, {16, []interval16{{start: 3, last: 9}, {start: 15, last: 15}}, true}, {6, []interval16{{start: 3, last: 5}, {start: 7, last: 9}, {start: 15, last: 15}}, true}, {8, []interval16{{start: 3, last: 5}, {start: 7, last: 7}, {start: 9, last: 9}, {start: 15, last: 15}}, true}, {8, []interval16{{start: 3, last: 5}, {start: 7, last: 7}, {start: 9, last: 9}, {start: 15, last: 15}}, false}, {1, []interval16{{start: 3, last: 5}, {start: 7, last: 7}, {start: 9, last: 9}, {start: 15, last: 15}}, false}, {44, []interval16{{start: 3, last: 5}, {start: 7, last: 7}, {start: 9, last: 9}, {start: 15, last: 15}}, false}, } for i, test := range tests { c = c.Freeze() var ret bool c, ret = c.remove(test.op) if ret != test.expRet || !reflect.DeepEqual(c.runs(), test.exp) { t.Fatalf("test #%v Unexpected result removing %v from runs. Expected %v, got %v. Expected %v, got %v", i, test.op, test.expRet, ret, test.exp, c.runs()) } if ret && c.frozen() { t.Fatalf("test #%v container was not unmapped although bit %v was removed", i, test.op) } if !ret && !c.frozen() { t.Fatalf("test #%v container was unmapped although bit %v was not removed", i, test.op) } } } func TestRunMax(t *testing.T) { c := NewContainerRun([]interval16{{start: 2, last: 10}, {start: 12, last: 13}, {start: 15, last: 16}}) max := c.max() if max != 16 { t.Fatalf("max for %v should be 16", c.runs()) } c = NewContainerRun(nil) max = c.max() if max != 0 { t.Fatalf("max for %v should be 0", c.runs()) } } func TestIntersectionCountArrayRun(t *testing.T) { a := NewContainerArray([]uint16{1, 5, 10, 11, 12}) b := NewContainerRun([]interval16{{start: 2, last: 10}, {start: 12, last: 13}, {start: 15, last: 16}}) ret := intersectionCountArrayRun(a, b) if ret != 3 { t.Fatalf("count of %v with %v should be 3, but got %v", a.array(), b.runs(), ret) } } func TestIntersectionCountBitmapRun(t *testing.T) { ob := make([]uint64, bitmapN) ob[0] = 1 << 63 a := NewContainerBitmap(1, ob) b := NewContainerRun([]interval16{{start: 63, last: 64}}) ret := intersectionCountBitmapRun(a, b) if ret != 1 { t.Fatalf("count of %v with %v should be 1, but got %v", a.bitmap(), b.runs(), ret) } a = NewContainerBitmap(-1, []uint64{0xF0000001, 0xFF00000000000000, 0xFF000000000000F0, 0x0F0000}) b = NewContainerRun([]interval16{{start: 29, last: 31}, {start: 125, last: 134}, {start: 191, last: 197}, {start: 200, last: 300}}) ret = intersectionCountBitmapRun(a, b) if ret != 14 { t.Fatalf("count of %v with %v should be 14, but got %v", a.bitmap(), b.runs(), ret) } } func TestIntersectionCountRunRun(t *testing.T) { tests := []struct { aruns []interval16 bruns []interval16 exp int32 }{ { aruns: []interval16{}, bruns: []interval16{{start: 3, last: 8}}, exp: 0}, { aruns: []interval16{{start: 2, last: 10}}, bruns: []interval16{{start: 3, last: 8}}, exp: 6}, { aruns: []interval16{{start: 2, last: 10}}, bruns: []interval16{{start: 1, last: 11}}, exp: 9}, { aruns: []interval16{{start: 2, last: 10}}, bruns: []interval16{{start: 0, last: 2}}, exp: 1}, { aruns: []interval16{{start: 2, last: 10}}, bruns: []interval16{{start: 1, last: 10}}, exp: 9}, { aruns: []interval16{{start: 2, last: 10}}, bruns: []interval16{{start: 5, last: 12}}, exp: 6}, { aruns: []interval16{{start: 2, last: 10}}, bruns: []interval16{{start: 10, last: 99}}, exp: 1}, { aruns: []interval16{{start: 2, last: 10}, {start: 44, last: 99}}, bruns: []interval16{{start: 12, last: 14}}, exp: 0}, { aruns: []interval16{{start: 2, last: 10}, {start: 12, last: 13}}, bruns: []interval16{{start: 2, last: 10}, {start: 12, last: 13}}, exp: 11}, { aruns: []interval16{{start: 8, last: 12}, {start: 15, last: 19}}, bruns: []interval16{{start: 9, last: 9}, {start: 11, last: 17}}, exp: 6}, } for i, test := range tests { a := NewContainerRun(test.aruns) b := NewContainerRun(test.bruns) ret := intersectionCountRunRun(a, b) if ret != test.exp { t.Fatalf("test #%v failed intersecting %v with %v should be %v, but got %v", i, test.aruns, test.bruns, test.exp, ret) } } } func TestIntersectArrayRun(t *testing.T) { a := NewContainerArray(nil) b := NewContainerRun(nil) tests := []struct { array []uint16 runs []interval16 exp []uint16 }{ { array: []uint16{1, 4, 5, 7, 10, 11, 12}, runs: []interval16{{start: 5, last: 10}}, exp: []uint16{5, 7, 10}, }, { array: []uint16{}, runs: []interval16{{start: 5, last: 10}}, exp: []uint16(nil), }, { array: []uint16{1, 4, 5, 7, 10, 11, 12}, runs: []interval16{}, exp: []uint16(nil), }, { array: []uint16{0, 1, 4, 5, 7, 10, 11, 12}, runs: []interval16{{start: 0, last: 5}, {start: 7, last: 7}}, exp: []uint16{0, 1, 4, 5, 7}, }, } for i, test := range tests { a.setArray(test.array) b.setRuns(test.runs) ret := intersectArrayRun(a, b) if test.exp == nil { if len(ret.array()) != 0 { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.array()) } } else if !reflect.DeepEqual(ret.array(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.array()) } } } func TestIntersectRunRun(t *testing.T) { a := NewContainerRun(nil) b := NewContainerRun(nil) tests := []struct { aruns []interval16 bruns []interval16 exp []interval16 expN int32 }{ { aruns: []interval16{}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16(nil), expN: 0, }, { aruns: []interval16{{start: 5, last: 12}}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 5, last: 10}}, expN: 6, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 8}, {start: 9, last: 12}}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 5, last: 5}, {start: 7, last: 10}}, expN: 5, }, { aruns: []interval16{{start: 20, last: 30}}, bruns: []interval16{{start: 5, last: 10}, {start: 19, last: 21}}, exp: []interval16{{start: 20, last: 21}}, expN: 2, }, { aruns: []interval16{{start: 5, last: 10}}, bruns: []interval16{{start: 7, last: 12}}, exp: []interval16{{start: 7, last: 10}}, expN: 4, }, { aruns: []interval16{{start: 5, last: 12}}, bruns: []interval16{{start: 7, last: 10}}, exp: []interval16{{start: 7, last: 10}}, expN: 4, }, } for i, test := range tests { a.setRuns(test.aruns) b.setRuns(test.bruns) ret := intersectRunRun(a, b) if ret.N() != test.expN { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, ret.N()) } if test.exp != nil { if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } } else if len(ret.runs()) != 0 { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } } } func TestIntersectBitmapRunBitmap(t *testing.T) { tests := []struct { bitmap []uint64 runs []interval16 exp []uint64 expN int32 }{ { bitmap: []uint64{1}, runs: []interval16{{start: 0, last: 0}, {start: 2, last: 5}, {start: 62, last: 71}, {start: 77, last: 4096}}, exp: []uint64{1}, expN: 1, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 1, last: 1}}, exp: []uint64{2}, expN: 1, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 1, last: 1}, {start: 10, last: 12}, {start: 61, last: 77}}, exp: []uint64{0xe000000000001C02}, expN: 7, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 1, last: 1}, {start: 61, last: 77}}, exp: []uint64{0xE000000000000002, 0x00000000000003FFF}, expN: 18, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF, 1, 1, 1, 0xA, 1, 1, 0, 1}, runs: []interval16{{start: 63, last: 10000}}, exp: []uint64{0x8000000000000000, 1, 1, 1, 0xA, 1, 1, 0, 1}, expN: 9, }, } for i, test := range tests { exp := make([]uint64, bitmapN) copy(exp, test.exp) a := NewContainerBitmap(-1, test.bitmap) b := NewContainerRun(test.runs) b.setN(4097) ret := intersectBitmapRun(a, b) if ret.isArray() { ret.arrayToBitmap() } if !reflect.DeepEqual(ret.bitmap(), exp) { t.Fatalf("test #%v expected %v, but got %v", i, exp, ret.bitmap()) } if ret.N() != test.expN { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, ret.N()) } } } func TestIntersectBitmapRunArray(t *testing.T) { a := NewContainerBitmap(0, nil) b := NewContainerRun(nil) tests := []struct { bitmap []uint64 runs []interval16 exp []uint16 expN int32 }{ { bitmap: []uint64{1}, runs: []interval16{{start: 0, last: 0}, {start: 2, last: 5}, {start: 62, last: 71}, {start: 77, last: 4096}}, exp: []uint16{0}, expN: 1, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 1, last: 1}}, exp: []uint16{1}, expN: 1, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 1, last: 1}, {start: 10, last: 12}, {start: 61, last: 77}}, exp: []uint16{1, 10, 11, 12, 61, 62, 63}, expN: 7, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 1, last: 1}, {start: 61, last: 68}}, exp: []uint16{1, 61, 62, 63, 64, 65, 66, 67, 68}, expN: 9, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF, 1, 1, 1, 0xA, 1, 1, 0, 1}, runs: []interval16{{start: 63, last: 10000}, {start: 65000, last: 65535}}, exp: []uint16{63, 64, 128, 192, 257, 259, 320, 384, 512}, expN: 9, }, } for i, test := range tests { copy(a.bitmap(), test.bitmap) b.setRuns(test.runs) ret := intersectBitmapRun(a, b) if !reflect.DeepEqual(ret.array(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.array()) } if ret.N() != test.expN { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, ret.N()) } } } func TestUnionMixed(t *testing.T) { // array container a := NewContainerArray([]uint16{1, 4, 5, 7, 10, 11, 12}) // bitmap container b := NewContainerBitmap(2, []uint64{0x3}) // run container r := NewContainerRun([]interval16{{start: 5, last: 10}}) t.Run("various container Unions", func(t *testing.T) { tests := []struct { name string c1 *Container c2 *Container exp []uint16 }{ {name: "run-array", c1: r, c2: a, exp: []uint16{1, 4, 5, 6, 7, 8, 9, 10, 11, 12}}, {name: "array-run", c1: a, c2: r, exp: []uint16{1, 4, 5, 6, 7, 8, 9, 10, 11, 12}}, {name: "run-run", c1: r, c2: r, exp: []uint16{5, 6, 7, 8, 9, 10}}, {name: "bitmap-run", c1: b, c2: r, exp: []uint16{0, 1, 5, 6, 7, 8, 9, 10}}, {name: "run-bitmap", c1: r, c2: b, exp: []uint16{0, 1, 5, 6, 7, 8, 9, 10}}, {name: "array-bitmap", c1: a, c2: b, exp: []uint16{0, 1, 4, 5, 7, 10, 11, 12}}, {name: "bitmap-array", c1: a, c2: b, exp: []uint16{0, 1, 4, 5, 7, 10, 11, 12}}, } for _, tt := range tests { res := union(tt.c1, tt.c2) // convert to array for comparison if res.isBitmap() { res.bitmapToArray() } else if res.isRun() { res.runToArray() } if !reflect.DeepEqual(res.array(), tt.exp) { t.Fatalf("test %s expected %v, but got %v", tt.name, tt.exp, res.array()) } } }) } func TestIntersectMixed(t *testing.T) { a := NewContainerRun([]interval16{{start: 5, last: 10}}) b := NewContainerArray([]uint16{1, 4, 5, 7, 10, 11, 12}) c := NewContainerBitmap(2, []uint64{0x60}) res := intersect(a, b) if !reflect.DeepEqual(res.array(), []uint16{5, 7, 10}) { t.Fatalf("test #1 expected %v, but got %v", []uint16{5, 7, 10}, res.array()) } res = intersect(b, a) if !reflect.DeepEqual(res.array(), []uint16{5, 7, 10}) { t.Fatalf("test #1 expected %v, but got %v", []uint16{5, 7, 10}, res.array()) } res = intersect(a, a) if !reflect.DeepEqual(res.runs(), []interval16{{start: 5, last: 10}}) { t.Fatalf("test #3 expected %v, but got %v", []interval16{{start: 5, last: 10}}, res.runs()) } res = intersect(c, a) if !reflect.DeepEqual(res.array(), []uint16{5, 6}) { t.Fatalf("test #4 expected %v, but got %v", []uint16{6}, res.array()) } res = intersect(a, c) if !reflect.DeepEqual(res.array(), []uint16{5, 6}) { t.Fatalf("test #5 expected %v, but got %v", []uint16{6}, res.array()) } res = intersect(b, c) if !reflect.DeepEqual(res.array(), []uint16{5}) { t.Fatalf("test #6 expected %v, but got %v", []uint16{5}, res.array()) } res = intersect(c, b) if !reflect.DeepEqual(res.array(), []uint16{5}) { t.Fatalf("test #7 expected %v, but got %v", []uint16{5}, res.array()) } } func TestDifferenceMixed(t *testing.T) { a := NewContainerRun([]interval16{{start: 5, last: 10}}) b := NewContainerArray([]uint16{0, 2, 4, 6, 8, 10, 12}) c := NewContainerBitmap(-1, MakeBitmap([]uint64{0x64})) d := NewContainerArray([]uint16{1, 3, 5, 7, 9, 11, 12}) res := difference(a, b) if !reflect.DeepEqual(res.array(), []uint16{5, 7, 9}) { t.Fatalf("test #1 expected %v, but got %#v", []uint16{5, 7, 9}, res) } res = difference(b, a) if !reflect.DeepEqual(res.array(), []uint16{0, 2, 4, 12}) { t.Fatalf("test #2 expected %v, but got %v", []uint16{0, 2, 4, 12}, res.array()) } res = difference(a, a) if !reflect.DeepEqual(res.runs(), []interval16{}) { t.Fatalf("test #3 expected empty but got %v", res.runs()) } res = difference(c, a) if !reflect.DeepEqual(res.bitmap(), MakeBitmap([]uint64{0x4})) { t.Fatalf("test #4 expected %v, but got %v", []uint16{4}, res.bitmap()) } res = difference(a, c) if !reflect.DeepEqual(res.runs(), []interval16{{start: 7, last: 10}}) { t.Fatalf("test #5 expected %v, but got %v", []interval16{{start: 7, last: 10}}, res.runs()) } res = difference(b, c) if !reflect.DeepEqual(res.array(), []uint16{0, 4, 8, 10, 12}) { t.Fatalf("test #6 expected %v, but got %v", []uint16{0, 4, 8, 10, 12}, res.array()) } res = difference(c, b) if !reflect.DeepEqual(res.array(), []uint16{5}) { t.Fatalf("test #7 expected %v, but got %v", []uint16{5}, res.array()) } res = difference(b, b) if res.N() != 0 { t.Fatalf("test #8 expected 0, but got %d", res.N()) } res = difference(c, c) if res.N() != 0 { t.Fatalf("test #9 expected 0, but got %d", res.N()) } res = difference(d, b) if !reflect.DeepEqual(res.array(), []uint16{1, 3, 5, 7, 9, 11}) { t.Fatalf("test #10 expected %v, but got %d", []uint16{1, 3, 5, 7, 9, 11}, res.array()) } res = difference(b, d) if !reflect.DeepEqual(res.array(), []uint16{0, 2, 4, 6, 8, 10}) { t.Fatalf("test #11 expected %v, but got %d", []uint16{0, 2, 4, 6, 8, 10}, res.array()) } } func TestUnionRunRun(t *testing.T) { a := NewContainerRun(nil) b := NewContainerRun(nil) tests := []struct { aruns []interval16 bruns []interval16 exp []interval16 }{ { aruns: []interval16{}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 5, last: 10}}, }, { aruns: []interval16{{start: 5, last: 12}}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 5, last: 12}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 8}, {start: 9, last: 12}}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 1, last: 3}, {start: 5, last: 12}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 8}, {start: 9, last: 12}}, bruns: []interval16{{start: 2, last: 65535}}, exp: []interval16{{start: 1, last: 65535}}, }, { aruns: []interval16{{start: 2, last: 65535}}, bruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 8}, {start: 9, last: 12}}, exp: []interval16{{start: 1, last: 65535}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 8}, {start: 9, last: 12}}, bruns: []interval16{{start: 0, last: 65535}}, exp: []interval16{{start: 0, last: 65535}}, }, { aruns: []interval16{{start: 0, last: 65535}}, bruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 8}, {start: 9, last: 12}}, exp: []interval16{{start: 0, last: 65535}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 9}, {start: 12, last: 22}}, bruns: []interval16{{start: 2, last: 8}, {start: 16, last: 27}, {start: 33, last: 34}}, exp: []interval16{{start: 1, last: 9}, {start: 12, last: 27}, {start: 33, last: 34}}, }, } for i, test := range tests { a.setRuns(test.aruns) b.setRuns(test.bruns) ret := unionRunRun(a, b) if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } } } 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 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) } }) } } } func TestUnionArrayRun(t *testing.T) { a := NewContainerArray(nil) b := NewContainerRun(nil) tests := []struct { array []uint16 runs []interval16 exp []uint16 }{ { array: []uint16{1, 4, 5, 7, 10, 11, 12}, runs: []interval16{{start: 5, last: 10}}, exp: []uint16{1, 4, 5, 6, 7, 8, 9, 10, 11, 12}, }, { array: []uint16{}, runs: []interval16{{start: 5, last: 10}}, exp: []uint16{5, 6, 7, 8, 9, 10}, }, { array: []uint16{1, 4, 5, 7, 10, 11, 12}, runs: []interval16{}, exp: []uint16{1, 4, 5, 7, 10, 11, 12}, }, { array: []uint16{0, 1, 4, 5, 7, 10, 11, 12}, runs: []interval16{{start: 0, last: 5}, {start: 7, last: 7}}, exp: []uint16{0, 1, 2, 3, 4, 5, 7, 10, 11, 12}, }, } for i, test := range tests { a.setArray(test.array) b.setRuns(test.runs) ret := unionArrayRun(a, b) if !reflect.DeepEqual(ret.array(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.array()) } } } func TestBitmapSetRange(t *testing.T) { tests := []struct { bitmap []uint64 start uint64 last uint64 exp []uint64 expN int32 }{ { bitmap: []uint64{0x0000000000FFF900}, start: 9, last: 10, exp: []uint64{0x0000000000FFFF00}, expN: 16, }, { bitmap: []uint64{0xFF0, 0xFF, 0xFF}, start: 60, last: 130, exp: []uint64{0xF000000000000FF0, 0xFFFFFFFFFFFFFFFF, 0xFF}, expN: 84, }, } for i, test := range tests { c := NewContainerBitmap(-1, test.bitmap) c.bitmapSetRange(test.start, test.last+1) if !reflect.DeepEqual(c.bitmap()[:len(test.exp)], test.exp) { t.Fatalf("test %#v expected %x, got %x", i, test.exp, c.bitmap()[:len(test.bitmap)]) } if test.expN != c.N() { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, c.N()) } } } func TestArrayToBitmap(t *testing.T) { tests := []struct { array []uint16 exp []uint64 }{ { array: []uint16{}, exp: []uint64{}, }, { array: []uint16{0, 1, 2, 3}, exp: []uint64{0xF}, }, } for i, test := range tests { exp := make([]uint64, bitmapN) copy(exp, test.exp) a := NewContainerArray(test.array) a = a.arrayToBitmap() if !reflect.DeepEqual(a.bitmap(), exp) { t.Fatalf("test #%v expected %v, but got %v", i, exp, a.bitmap()) } } } func TestBitmapToArray(t *testing.T) { tests := []struct { bitmap []uint64 exp []uint16 }{ { bitmap: []uint64{}, exp: []uint16{}, }, { bitmap: []uint64{0xF}, exp: []uint16{0, 1, 2, 3}, }, } for i, test := range tests { a := NewContainerBitmap(-1, test.bitmap) a = a.bitmapToArray() if !reflect.DeepEqual(a.array(), test.exp) { t.Fatalf("test #%v expected %#v, but got %#v", i, test.exp, a.array()) } } } func TestRunToBitmap(t *testing.T) { tests := []struct { runs []interval16 exp []uint64 }{ { runs: []interval16{}, exp: []uint64{}, }, { runs: []interval16{{start: 0, last: 0}}, exp: []uint64{1}, }, { runs: []interval16{{start: 0, last: 4}}, exp: []uint64{31}, }, { runs: []interval16{{start: 2, last: 2}, {start: 5, last: 7}, {start: 13, last: 14}, {start: 17, last: 17}}, exp: []uint64{155876}, }, { runs: []interval16{{start: 0, last: 3}, {start: 60, last: 67}}, exp: []uint64{0xF00000000000000F, 0x000000000000000F}, }, } for i, test := range tests { exp := make([]uint64, bitmapN) n := 0 for i, v := range test.exp { exp[i] = v n += int(popcount(v)) } a := NewContainerRun(test.runs) a = a.runToBitmap() if !reflect.DeepEqual(a.bitmap(), exp) { t.Fatalf("test #%v expected %v, but got %v", i, exp, a.bitmap()) } } } func getFullBitmap() []uint64 { x := make([]uint64, 1024) for i := range x { x[i] = uint64(0xFFFFFFFFFFFFFFFF) } return x } func TestBitmapToRun(t *testing.T) { tests := []struct { bitmap []uint64 exp []interval16 }{ { // empty run bitmap: []uint64{}, exp: []interval16{}, }, { // single-bit run bitmap: []uint64{1}, exp: []interval16{{start: 0, last: 0}}, }, { // single multi-bit run in one word bitmap: []uint64{31}, exp: []interval16{{start: 0, last: 4}}, }, { // multiple runs in one word bitmap: []uint64{155876}, exp: []interval16{{start: 2, last: 2}, {start: 5, last: 7}, {start: 13, last: 14}, {start: 17, last: 17}}, }, { // span two words, both mixed bitmap: []uint64{0xF00000000000000F, 0x000000000000000F}, exp: []interval16{{start: 0, last: 3}, {start: 60, last: 67}}, }, { // span two words, first = maxBitmap bitmap: []uint64{0xFFFFFFFFFFFFFFFF, 0xF}, exp: []interval16{{start: 0, last: 67}}, }, { // span two words, second = maxBitmap bitmap: []uint64{0xF000000000000000, 0xFFFFFFFFFFFFFFFF}, exp: []interval16{{start: 60, last: 127}}, }, { // span three words bitmap: []uint64{0xF000000000000000, 0xFFFFFFFFFFFFFFFF, 0xF}, exp: []interval16{{start: 60, last: 131}}, }, { bitmap: make([]uint64, bitmapN), exp: []interval16{{start: 65408, last: 65535}}, }, { bitmap: getFullBitmap(), exp: []interval16{{start: 0, last: 65535}}, }, } tests[8].bitmap[1022] = 0xFFFFFFFFFFFFFFFF tests[8].bitmap[1023] = 0xFFFFFFFFFFFFFFFF for i, test := range tests { a := NewContainerBitmap(-1, test.bitmap) x := a.bitmap() a.bitmapToRun(0) if !reflect.DeepEqual(a.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, a.runs()) } a.runToBitmap() if !reflect.DeepEqual(a.bitmap(), x) { t.Fatalf("test #%v expected %v, but got %v", i, a.bitmap(), x) } } } func TestArrayToRun(t *testing.T) { tests := []struct { array []uint16 exp []interval16 }{ { array: []uint16{}, exp: []interval16{}, }, { array: []uint16{0}, exp: []interval16{{start: 0, last: 0}}, }, { array: []uint16{0, 1, 2, 3, 4}, exp: []interval16{{start: 0, last: 4}}, }, { array: []uint16{2, 5, 6, 7, 13, 14, 17}, exp: []interval16{{start: 2, last: 2}, {start: 5, last: 7}, {start: 13, last: 14}, {start: 17, last: 17}}, }, } for i, test := range tests { a := NewContainerArray(test.array) a = a.arrayToRun(0) if !reflect.DeepEqual(a.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, a.runs()) } } } func TestRunToArray(t *testing.T) { tests := []struct { runs []interval16 exp []uint16 }{ { runs: []interval16{}, exp: []uint16{}, }, { runs: []interval16{{start: 0, last: 0}}, exp: []uint16{0}, }, { runs: []interval16{{start: 0, last: 4}}, exp: []uint16{0, 1, 2, 3, 4}, }, { runs: []interval16{{start: 2, last: 2}, {start: 5, last: 7}, {start: 13, last: 14}, {start: 17, last: 17}}, exp: []uint16{2, 5, 6, 7, 13, 14, 17}, }, } for i, test := range tests { a := NewContainerRun(test.runs) a = a.runToArray() if !reflect.DeepEqual(a.array(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, a.array()) } } } func TestBitmapZeroRange(t *testing.T) { tests := []struct { bitmap []uint64 start uint64 last uint64 exp []uint64 expN int32 }{ { bitmap: []uint64{0x0000000000FFFF00}, start: 9, last: 10, exp: []uint64{0x0000000000FFF900}, expN: 14, }, { bitmap: []uint64{0xFF0, 0xFF, 0xFF}, start: 60, last: 130, exp: []uint64{0xFF0, 0, 0xF8}, expN: 13, }, } for i, test := range tests { c := NewContainerBitmap(-1, test.bitmap) bitmap := c.bitmap() c.bitmapZeroRange(test.start, test.last+1) if !reflect.DeepEqual(bitmap[:len(test.exp)], test.exp) { t.Fatalf("test %#v expected %x, got %x", i, test.exp, bitmap[:len(test.bitmap)]) } if test.expN != c.N() { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, c.N()) } for i := range test.bitmap { bitmap[i] = 0 } } } func TestUnionBitmapRun(t *testing.T) { tests := []struct { bitmap []uint64 runs []interval16 exp []uint64 expN int32 }{ { bitmap: []uint64{2}, runs: []interval16{{start: 0, last: 0}, {start: 2, last: 5}, {start: 62, last: 71}, {start: 77, last: 78}}, exp: []uint64{0xC00000000000003F, 0x60FF}, expN: 18, }, } for i, test := range tests { a := NewContainerBitmap(-1, test.bitmap) b := NewContainerRun(test.runs) ret := unionBitmapRun(a, b) if ret.isArray() { ret = ret.arrayToBitmap() } bitmap := ret.bitmap() if !reflect.DeepEqual(bitmap[:len(test.exp)], test.exp) { t.Fatalf("test #%v expected %x, but got %x", i, test.exp, bitmap[:len(test.exp)]) } if ret.N() != test.expN { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, ret.N()) } for i := range test.bitmap { a.bitmap()[i] = 0 } } } func TestBitmapCountRuns(t *testing.T) { tests := []struct { bitmap []uint64 exp int32 }{ { bitmap: []uint64{0xFF00FF00}, exp: 2, }, { bitmap: []uint64{0xFF00FF0000000000, 0x1}, exp: 2, }, { bitmap: []uint64{0xFF00FF0000000000, 0x2, 0x100}, exp: 4, }, { bitmap: []uint64{0xFF00FF0000000000, 0x1010101FF0101010, 0x100}, exp: 10, }, } var c *Container for i, test := range tests { c = NewContainerBitmap(-1, test.bitmap) ret := c.bitmapCountRuns() if ret != test.exp { t.Fatalf("test #%v expected %v but got %v", i, test.exp, ret) } for j := range test.bitmap { c.bitmap()[j] = 0 } } test := tests[3] for j, v := range test.bitmap { c.bitmap()[1024-len(test.bitmap)+j] = v } ret := c.bitmapCountRuns() if ret != test.exp { t.Fatalf("test at end expected %v but got %v", test.exp, ret) } } func TestArrayCountRuns(t *testing.T) { c := NewContainerArray(nil) tests := []struct { array []uint16 exp int32 }{ { array: []uint16{}, exp: 0, }, { array: []uint16{0}, exp: 1, }, { array: []uint16{1}, exp: 1, }, { array: []uint16{1, 2, 3, 5}, exp: 2, }, { array: []uint16{0, 1, 3, 9, 2048, 4096, 4097, 65534, 65535}, exp: 6, }, { array: []uint16{0, 10, 11, 12}, exp: 2, }, } for i, test := range tests { c.setArray(test.array) ret := c.arrayCountRuns() if ret != test.exp { t.Fatalf("test #%v expected %v but got %v", i, test.exp, ret) } } } func TestDifferenceArrayRun(t *testing.T) { tests := []struct { array []uint16 runs []interval16 exp []uint16 }{ { array: []uint16{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, runs: []interval16{{start: 5, last: 10}}, exp: []uint16{0, 1, 2, 3, 4, 11, 12}, }, } for i, test := range tests { a := NewContainerArray(test.array) b := NewContainerRun(test.runs) ret := differenceArrayRun(a, b) if !reflect.DeepEqual(ret.array(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.array()) } } } func TestDifferenceRunArray(t *testing.T) { tests := []struct { runs []interval16 array []uint16 exp []interval16 }{ { runs: []interval16{{start: 0, last: 12}}, array: []uint16{5, 6, 7, 8, 9, 10}, exp: []interval16{{start: 0, last: 4}, {start: 11, last: 12}}, }, { runs: []interval16{{start: 0, last: 12}}, array: []uint16{0, 1, 2, 3}, exp: []interval16{{start: 4, last: 12}}, }, { runs: []interval16{{start: 0, last: 12}}, array: []uint16{9, 10, 11, 12, 13}, exp: []interval16{{start: 0, last: 8}}, }, { runs: []interval16{{start: 1, last: 12}}, array: []uint16{0, 9, 10, 11, 12, 13}, exp: []interval16{{start: 1, last: 8}}, }, { runs: []interval16{{start: 1, last: 12}, {start: 14, last: 14}, {start: 18, last: 18}}, array: []uint16{0, 9, 10, 11, 12, 13, 14, 17}, exp: []interval16{{start: 1, last: 8}, {start: 18, last: 18}}, }, { runs: []interval16{{start: 1, last: 12}, {start: 14, last: 14}, {start: 18, last: 18}}, array: []uint16{0, 9, 10, 11, 12, 13, 14, 17, 19}, exp: []interval16{{start: 1, last: 8}, {start: 18, last: 18}}, }, { runs: []interval16{{start: 1, last: 12}, {start: 14, last: 17}, {start: 19, last: 28}}, array: []uint16{0, 9, 10, 11, 12, 13, 14, 17, 19, 25, 27}, exp: []interval16{{start: 1, last: 8}, {start: 15, last: 16}, {start: 20, last: 24}, {start: 26, last: 26}, {start: 28, last: 28}}, }, { runs: []interval16{{start: 0, last: 20}, {start: 65533, last: 65535}}, array: []uint16{65533, 65534, 65535}, exp: []interval16{{start: 0, last: 20}}, }, { runs: []interval16{{start: 0, last: 20}, {start: 65530, last: 65535}}, array: []uint16{37, 65535}, exp: []interval16{{start: 0, last: 20}, {start: 65530, last: 65534}}, }, } for i, test := range tests { a := NewContainerRun(test.runs) b := NewContainerArray(test.array) ret := differenceRunArray(a, b) if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } } } func MakeBitmap(start []uint64) []uint64 { b := make([]uint64, bitmapN) copy(b, start) return b } func MakeLastBitSet() []uint64 { obj := NewFileBitmap(65535) c := obj.container(0) c.arrayToBitmap() return c.bitmap() } func TestDifferenceRunBitmap(t *testing.T) { tests := []struct { runs []interval16 bitmap []uint64 exp []interval16 }{ { runs: []interval16{{start: 0, last: 63}}, bitmap: MakeBitmap([]uint64{0x0000FFFF000000F0}), exp: []interval16{{start: 0, last: 3}, {start: 8, last: 31}, {start: 48, last: 63}}, }, { runs: []interval16{{start: 0, last: 63}}, bitmap: MakeBitmap([]uint64{0x8000000000000000}), exp: []interval16{{start: 0, last: 62}}, }, { runs: []interval16{{start: 0, last: 63}}, bitmap: MakeBitmap([]uint64{0x0000000000000001}), exp: []interval16{{start: 1, last: 63}}, }, { runs: []interval16{{start: 0, last: 63}}, bitmap: MakeBitmap([]uint64{0x0, 0x0000000000000001}), exp: []interval16{{start: 0, last: 63}}, }, { runs: []interval16{{start: 0, last: 65}}, bitmap: MakeBitmap([]uint64{0x0, 0x0000000000000001}), exp: []interval16{{start: 0, last: 63}, {start: 65, last: 65}}, }, { runs: []interval16{{start: 0, last: 65}}, bitmap: MakeBitmap([]uint64{0x0, 0x8000000000000000}), exp: []interval16{{start: 0, last: 65}}, }, { runs: []interval16{{start: 1, last: 65535}}, bitmap: MakeBitmap([]uint64{0x0000000000000001}), exp: []interval16{{start: 1, last: 65535}}, }, { runs: []interval16{{start: 0, last: 65533}, {start: 65535, last: 65535}}, bitmap: MakeLastBitSet(), exp: []interval16{{start: 0, last: 65533}}, }, } for i, test := range tests { a := NewContainerRun(test.runs) b := NewContainerBitmap(-1, test.bitmap) ret := differenceRunBitmap(a, b) if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } } } func TestDifferenceBitmapRun(t *testing.T) { tests := []struct { bitmap []uint64 runs []interval16 exp []uint64 }{ { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 4, last: 7}, {start: 32, last: 47}}, exp: []uint64{0xFFFF0000FFFFFF0F}, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFBF}, runs: []interval16{{start: 0, last: 5}, {start: 7, last: 63}}, exp: []uint64{0x0000000000000000}, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFBF}, runs: []interval16{{start: 0, last: 5}}, exp: []uint64{0xFFFFFFFFFFFFFF80}, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 60, last: 63}}, exp: []uint64{0x0FFFFFFFFFFFFFFF}, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 60, last: 65}}, exp: []uint64{0x0FFFFFFFFFFFFFFF}, }, { bitmap: []uint64{0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, runs: []interval16{{start: 60, last: 65}, {start: 67, last: 72}, {start: 126, last: 130}}, exp: []uint64{0x0FFFFFFFFFFFFFFF, 0x3FFFFFFFFFFFFE04, 0xFFFFFFFFFFFFFFF8}, }, { bitmap: []uint64{0x0000000000000001}, runs: []interval16{{start: 0, last: 0}}, exp: []uint64{0x0000000000000000}, }, { bitmap: []uint64{0x8000000000000000}, runs: []interval16{{start: 63, last: 63}}, exp: []uint64{0x0000000000000000}, }, { bitmap: []uint64{0xC000000000000000, 0x0000000000000003}, runs: []interval16{{start: 63, last: 64}}, exp: []uint64{0x4000000000000000, 0x0000000000000002}, }, { bitmap: []uint64{0x0000000000000000}, runs: []interval16{{start: 5, last: 7}}, exp: []uint64{0x0000000000000000}, }, { bitmap: bitmapLastBitSet(), runs: []interval16{{start: 65535, last: 65535}}, exp: bitmapEmpty(), }, { bitmap: bitmapFull(), runs: []interval16{{start: 0, last: 65535}}, exp: bitmapEmpty(), }, } for i, test := range tests { a := NewContainerBitmap(-1, test.bitmap) b := NewContainerRun(test.runs) ret := differenceBitmapRun(a, b) if !reflect.DeepEqual(ret.bitmap()[:len(test.exp)], test.exp) { t.Fatalf("test #%v expected \n%X, but got \n%X", i, test.exp, ret.bitmap()[:len(test.exp)]) } } } func TestDifferenceBitmapArray(t *testing.T) { tests := []struct { bitmap []uint64 array []uint16 exp []uint16 }{ { bitmap: MakeBitmap([]uint64{0xFF0F}), array: []uint16{0, 1, 2, 3, 4, 5, 6, 7, 10}, exp: []uint16{8, 9, 11, 12, 13, 14, 15}, }, { bitmap: []uint64{0x0000}, array: []uint16{0, 1, 2, 3, 4, 5, 6, 7, 10}, exp: []uint16{}, }, { bitmap: []uint64{0xFFFF}, array: []uint16{0, 1, 2, 3, 4, 5, 6, 7, 10}, exp: []uint16{8, 9, 11, 12, 13, 14, 15}, }, { bitmap: bitmapOddBitsSet(), array: []uint16{0, 1, 2, 3, 4, 5, 6, 7, 10}, exp: []uint16{9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63}, }, { bitmap: bitmapOddBitsSet(), array: []uint16{63}, exp: []uint16{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61}, }, { bitmap: MakeBitmap([]uint64{0x0000FFFF000000F0}), array: []uint16{4, 5, 6, 7, 20, 21, 22, 23, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47}, exp: []uint16{}, }, } for i, test := range tests { b := NewContainerBitmap(-1, test.bitmap[:1]) a := NewContainerArray(test.array) ret := differenceBitmapArray(b, a) if !reflect.DeepEqual(ret.array(), test.exp) { t.Fatalf("test #%v expected %#v, but got %#v", i, test.exp, ret.array()) } } } func TestDifferenceBitmapBitmap(t *testing.T) { tests := []struct { abitmap []uint64 bbitmap []uint64 exp []uint16 }{ { abitmap: []uint64{0xFF00FFFFFFFFFFFF}, bbitmap: []uint64{0xFFFFFFFFFFFFF000}, exp: []uint16{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, }, { abitmap: []uint64{0xF}, bbitmap: []uint64{0}, exp: []uint16{0, 1, 2, 3}, }, } for i, test := range tests { a := NewContainerBitmap(-1, test.abitmap) b := NewContainerBitmap(-1, test.bbitmap) ret := differenceBitmapBitmap(a, b) if !reflect.DeepEqual(ret.array(), test.exp) { t.Fatalf("test #%v expected \n%X, but got \n%X", i, test.exp, ret.array()) } } } func TestDifferenceRunRun(t *testing.T) { tests := []struct { aruns []interval16 bruns []interval16 exp []interval16 expn int32 }{ { // this tests all six overlap combinations // A [ ] [ ] [ ] [ ] [ ] [ ] // B [ ] [ ] [ ] [ ] [ ] [ ] aruns: []interval16{{start: 3, last: 6}, {start: 13, last: 16}, {start: 24, last: 26}, {start: 33, last: 38}, {start: 43, last: 46}, {start: 53, last: 56}}, bruns: []interval16{{start: 1, last: 8}, {start: 11, last: 14}, {start: 21, last: 23}, {start: 35, last: 37}, {start: 44, last: 48}, {start: 57, last: 59}}, exp: []interval16{{start: 15, last: 16}, {start: 24, last: 26}, {start: 33, last: 34}, {start: 38, last: 38}, {start: 43, last: 43}, {start: 53, last: 56}}, expn: 13, }, } for i, test := range tests { a := NewContainerRun(test.aruns) b := NewContainerRun(test.bruns) ret := differenceRunRun(a, b) if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } if ret.N() != test.expn { t.Fatalf("test #%v expected n=%v, but got n=%v", i, test.expn, ret.N()) } } } func TestWriteReadArray(t *testing.T) { ca := NewContainerArray([]uint16{1, 10, 100, 1000}) ba := NewFileBitmap() ba.Containers.Put(0, ca) ba2 := NewFileBitmap() var buf bytes.Buffer _, err := ba.WriteTo(&buf) if err != nil { t.Fatalf("error writing: %v", err) } err = ba2.UnmarshalBinary(buf.Bytes()) if err != nil { t.Fatalf("error unmarshaling: %v", err) } if !reflect.DeepEqual(ba2.Containers.Get(0).array(), ca.array()) { t.Fatalf("array test expected %x, but got %x", ca.array(), ba2.Containers.Get(0).array()) } } func TestWriteReadBitmap(t *testing.T) { // create bitmap containing > 4096 bits cb := NewContainerBitmapN(nil, 129*32) for i := 0; i < 129; i++ { cb.bitmap()[i] = 0x5555555555555555 } bb := NewFileBitmap() bb.Containers.Put(0, cb) bb2 := NewFileBitmap() var buf bytes.Buffer _, err := bb.WriteTo(&buf) if err != nil { t.Fatalf("error writing: %v", err) } err = bb2.UnmarshalBinary(buf.Bytes()) if err != nil { t.Fatalf("error unmarshaling: %v", err) } if !reflect.DeepEqual(bb2.Containers.Get(0).bitmap(), cb.bitmap()) { t.Fatalf("bitmap test expected %x, but got %x", cb.bitmap(), bb2.Containers.Get(0).bitmap()) } } func TestWriteReadFullBitmap(t *testing.T) { // create bitmap containing > 4096 bits cb := NewContainerBitmapN(nil, 65536) for i := 0; i < bitmapN; i++ { cb.bitmap()[i] = 0xffffffffffffffff } bb := NewFileBitmap() bb.Containers.Put(0, cb) bb2 := NewFileBitmap() var buf bytes.Buffer _, err := bb.writeToUnoptimized(&buf) if err != nil { t.Fatalf("error writing: %v", err) } if !cb.isBitmap() { t.Fatalf("how can i test a bitmap if it's not a bitmap") } err = bb2.UnmarshalBinary(buf.Bytes()) if err != nil { t.Fatalf("error unmarshaling: %v", err) } if !reflect.DeepEqual(bb2.Containers.Get(0).bitmap(), cb.bitmap()) { t.Fatalf("bitmap test expected %x, but got %x", cb.bitmap(), bb2.Containers.Get(0).bitmap()) } if bb2.Containers.Get(0).N() != cb.N() { t.Fatalf("bitmap test expected count %x, but got %x", cb.N(), bb2.Containers.Get(0).N()) } if bb2.Containers.Get(0).count() != cb.count() { t.Fatalf("bitmap test expected count %x, but got %x", cb.N(), bb2.Containers.Get(0).N()) } } func TestWriteReadRun(t *testing.T) { cr := NewContainerRun([]interval16{{start: 3, last: 13}, {start: 100, last: 109}}) br := NewFileBitmap() br.Containers.Put(0, cr) br2 := NewFileBitmap() var buf bytes.Buffer _, err := br.WriteTo(&buf) if err != nil { t.Fatalf("error writing: %v", err) } err = br2.UnmarshalBinary(buf.Bytes()) if err != nil { t.Fatalf("error unmarshaling: %v", err) } if !reflect.DeepEqual(br2.Containers.Get(0).runs(), cr.runs()) { t.Fatalf("run test expected %x, but got %x", cr.runs(), br2.Containers.Get(0).runs()) } } func TestXorArrayRun(t *testing.T) { tests := []struct { a *Container b *Container exp *Container }{ { a: NewContainerArray([]uint16{1, 5, 10, 11, 12}), b: NewContainerRun([]interval16{{start: 2, last: 10}, {start: 12, last: 13}, {start: 15, last: 16}}), exp: NewContainerArray([]uint16{1, 2, 3, 4, 6, 7, 8, 9, 11, 13, 15, 16}), }, { a: NewContainerArray([]uint16{1, 5, 10, 11, 12, 13, 14}), b: NewContainerRun([]interval16{{start: 2, last: 10}, {start: 12, last: 13}, {start: 15, last: 16}}), exp: NewContainerArray([]uint16{1, 2, 3, 4, 6, 7, 8, 9, 11, 14, 15, 16}), }, { a: NewContainerArray([]uint16{65535}), b: NewContainerRun([]interval16{{start: 65534, last: 65535}}), exp: NewContainerArray([]uint16{65534}), }, { a: NewContainerArray([]uint16{65535}), b: NewContainerRun([]interval16{{start: 65535, last: 65535}}), exp: NewContainerArray([]uint16{}), }, } for i, test := range tests { test.a.setN(test.a.count()) test.b.setN(test.b.count()) ret := xor(test.a, test.b) if !reflect.DeepEqual(ret.array(), test.exp.array()) { t.Fatalf("test #%v expected %#v, but got %#v", i, test.exp, ret) } ret = xor(test.b, test.a) if !reflect.DeepEqual(ret.array(), test.exp.array()) { t.Fatalf("test #%v.1 expected %#v, but got %#v", i, test.exp, ret) } } } //special case that didn't fit the xorrunrun table testing below. func TestXorRunRun1(t *testing.T) { a := NewContainerRun([]interval16{{start: 4, last: 10}}) b := NewContainerRun([]interval16{{start: 5, last: 10}}) ret := xorRunRun(a, b) if !reflect.DeepEqual(ret.array(), []uint16{4}) { t.Fatalf("test #1 expected %v, but got %v", []uint16{4}, ret.array()) } ret = xorRunRun(b, a) if !reflect.DeepEqual(ret.array(), []uint16{4}) { t.Fatalf("test #1 expected %v, but got %v", []uint16{4}, ret.array()) } } func TestXorRunRun(t *testing.T) { a := NewContainerRun(nil) b := NewContainerRun(nil) tests := []struct { aruns []interval16 bruns []interval16 exp []interval16 }{ { aruns: []interval16{}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 5, last: 10}}, }, { aruns: []interval16{{start: 0, last: 4}}, bruns: []interval16{{start: 6, last: 10}}, exp: []interval16{{start: 0, last: 4}, {start: 6, last: 10}}, }, { aruns: []interval16{{start: 0, last: 6}}, bruns: []interval16{{start: 4, last: 10}}, exp: []interval16{{start: 0, last: 3}, {start: 7, last: 10}}, }, { aruns: []interval16{{start: 4, last: 10}}, bruns: []interval16{{start: 0, last: 6}}, exp: []interval16{{start: 0, last: 3}, {start: 7, last: 10}}, }, { aruns: []interval16{{start: 0, last: 10}}, bruns: []interval16{{start: 0, last: 6}}, exp: []interval16{{start: 7, last: 10}}, }, { aruns: []interval16{{start: 0, last: 6}}, bruns: []interval16{{start: 0, last: 10}}, exp: []interval16{{start: 7, last: 10}}, }, { aruns: []interval16{{start: 0, last: 6}}, bruns: []interval16{{start: 0, last: 10}}, exp: []interval16{{start: 7, last: 10}}, }, { aruns: []interval16{{start: 5, last: 12}}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 11, last: 12}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 12}}, bruns: []interval16{{start: 5, last: 10}}, exp: []interval16{{start: 1, last: 3}, {start: 6, last: 6}, {start: 11, last: 12}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 12}}, bruns: []interval16{{start: 2, last: 65535}}, exp: []interval16{{start: 1, last: 1}, {start: 4, last: 4}, {start: 6, last: 6}, {start: 13, last: 65535}}, }, { aruns: []interval16{{start: 2, last: 65535}}, bruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 12}}, exp: []interval16{{start: 1, last: 1}, {start: 4, last: 4}, {start: 6, last: 6}, {start: 13, last: 65535}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 12}}, bruns: []interval16{{start: 0, last: 65535}}, exp: []interval16{{start: 0, last: 0}, {start: 4, last: 4}, {start: 6, last: 6}, {start: 13, last: 65535}}, }, { aruns: []interval16{{start: 0, last: 65535}}, bruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 12}}, exp: []interval16{{start: 0, last: 0}, {start: 4, last: 4}, {start: 6, last: 6}, {start: 13, last: 65535}}, }, { aruns: []interval16{{start: 1, last: 3}, {start: 5, last: 5}, {start: 7, last: 9}, {start: 12, last: 22}}, bruns: []interval16{{start: 2, last: 8}, {start: 16, last: 27}, {start: 33, last: 34}}, exp: []interval16{{start: 1, last: 1}, {start: 4, last: 4}, {start: 6, last: 6}, {start: 9, last: 9}, {start: 12, last: 15}, {start: 23, last: 27}, {start: 33, last: 34}}, }, { aruns: []interval16{{start: 65530, last: 65535}}, bruns: []interval16{{start: 65532, last: 65535}}, exp: []interval16{{start: 65530, last: 65531}}, }, } for i, test := range tests { a.setRuns(test.aruns) b.setRuns(test.bruns) ret := xorRunRun(a, b) if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v expected %v, but got %v", i, test.exp, ret.runs()) } ret = xorRunRun(b, a) if !reflect.DeepEqual(ret.runs(), test.exp) { t.Fatalf("test #%v.1 expected %v, but got %v", i, test.exp, ret.runs()) } } } func TestBitmapXorRange(t *testing.T) { tests := []struct { bitmap []uint64 start uint64 last uint64 exp []uint64 expN int32 }{ { bitmap: []uint64{0x0000000000000000}, start: 0, last: 2, exp: []uint64{0x0000000000000007}, expN: 3, }, { bitmap: []uint64{0xF1}, start: 4, last: 8, exp: []uint64{0x101}, expN: 2, }, { bitmap: []uint64{0xAA}, start: 0, last: 7, exp: []uint64{0x55}, expN: 4, }, { bitmap: []uint64{0x0, 0x0000000000000000, 0x0000000000000000}, start: 63, last: 128, exp: []uint64{0x8000000000000000, 0xFFFFFFFFFFFFFFFF, 0x000000000000001}, expN: 66, }, { bitmap: []uint64{0x0, 0x00000000000000FF, 0x0000000000000000}, start: 63, last: 128, exp: []uint64{0x8000000000000000, 0xFFFFFFFFFFFFFF00, 0x000000000000001}, expN: 58, }, { bitmap: []uint64{0x0, 0x0, 0x0}, start: 129, last: 131, exp: []uint64{0x0000000000000000, 0x0000000000000000, 0x00000000000000E}, expN: 3, }, } for i, test := range tests { c := NewContainerBitmap(-1, test.bitmap) c.bitmapXorRange(test.start, test.last+1) if !reflect.DeepEqual(c.bitmap()[:len(test.exp)], test.exp) { t.Fatalf("test %#v expected %x, got %x", i, test.exp, c.bitmap()[:len(test.bitmap)]) } if test.expN != c.N() { t.Fatalf("test #%v expected n to be %v, but got %v", i, test.expN, c.N()) } } } func TestXorBitmapRun(t *testing.T) { tests := []struct { bitmap []uint64 runs []interval16 exp []uint64 }{ { bitmap: []uint64{0x0, 0x0, 0x0}, runs: []interval16{{start: 129, last: 131}}, exp: []uint64{0x0, 0x0, 0x00000000000000E}, }, } for i, test := range tests { a := NewContainerBitmap(-1, test.bitmap) e := NewContainerBitmap(-1, test.exp) b := NewContainerRun(test.runs) //xorBitmapRun ret := xor(a, b) if ret.isRun() { ret = ret.runToBitmap() } if !reflect.DeepEqual(ret.bitmap(), e.bitmap()) { t.Fatalf("test #%v expected %v, but got %v", i, e.bitmap(), ret.bitmap()) } ret = xor(b, a) if ret.isRun() { ret = ret.runToBitmap() } if !reflect.DeepEqual(ret.bitmap(), e.bitmap()) { t.Fatalf("test #%v.1 expected %v, but got %v", i, e.bitmap(), ret.bitmap()) } } } func TestIteratorArray(t *testing.T) { // use values that span two containers b := NewFileBitmap(0, 1, 10, 100, 1000, 10000, 90000, 100000) if !b.Containers.Get(0).isArray() { t.Fatalf("wrong container type") } itr := b.Iterator() if !(itr.key == 0 && itr.j == -1) { t.Fatalf("iterator did not zero correctly: %v\n", itr) } itr.Seek(1000) if !(itr.key == 0 && itr.j == 3) { t.Fatalf("iterator did not seek correctly: %#v\n", itr) } itr.Seek(10000) itr.Next() val, eof := itr.Next() if !(itr.key == 1 && itr.j == 0 && val == 90000 && !eof) { t.Fatalf("iterator did not next correctly across containers: %v\n", itr) } itr.Seek(65535) if !(itr.key == 1 && itr.j == -1) { t.Fatalf("iterator did not seek missing value in previous container correctly: %v\n", itr) } val, eof = itr.Next() if !(val == 90000 && !eof) { t.Fatalf("iterator did not next from missing value in previous container correctly: %d, %v\n", val, eof) } itr.Seek(80000) if !(itr.key == 1 && itr.j == -1) { t.Fatalf("iterator did not seek missing value correctly: %v\n", itr) } itr.Seek(100000) if !(itr.key == 1 && itr.j == 0) { t.Fatalf("iterator did not seek correctly in multiple containers: %v\n", itr) } val, eof = itr.Next() if !(val == 100000 && !eof) { t.Fatalf("iterator did not next correctly: %d, %v\n", val, eof) } val, eof = itr.Next() if !(val == 0 && eof) { t.Fatalf("iterator did not eof correctly: %d, %v\n", val, eof) } // Test for seeking value not in bitmap, where next container that the iterator should // go to has values with low bits smaller than the low bits of seek. b = NewBitmap(65537, 65538, 65539, 65541, 65542) itr = b.Iterator() // Both 65536+5-1 and 5 are not in b. itr.Seek(5) if !(itr.key == 1 && itr.j == -1) { t.Fatalf("iterator did not seek correctly in next container: %v\n", itr) } val, eof = itr.Next() if !(val == 65537 && !eof) { t.Fatalf("iterator did not next corrrectly to next container: %d, %v\n", val, eof) } val, eof = itr.Next() if !(val == 65538 && !eof) { t.Fatalf("iterator did not next correctly: %d, %v\n", val, eof) } } func TestIteratorBitmap(t *testing.T) { // use values that span two containers // this dataset will update to bitmap after enough Adds, // but won't update to RLE until Optimize() is called b := NewFileBitmap() for i := uint64(61000); i < 71000; i++ { if _, err := b.Add(i); err != nil { t.Fatalf("adding bit: %v", err) } } for i := uint64(75000); i < 75100; i++ { if _, err := b.Add(i); err != nil { t.Fatalf("adding bit: %v", err) } } if !b.Containers.Get(0).isBitmap() { t.Fatalf("wrong container type") } itr := b.Iterator() if !(itr.key == 0 && itr.j == -1) { t.Fatalf("iterator did not zero correctly: %v\n", itr) } itr.Seek(65000) if !(itr.key == 0 && itr.j == 64999) { t.Fatalf("iterator did not seek correctly: %v\n", itr) } itr.Seek(65535) itr.Next() val, eof := itr.Next() if !(itr.key == 1 && itr.j == 0 && val == 65536 && !eof) { t.Fatalf("iterator did not next correctly across containers: %v\n", itr) } itr.Seek(74000) if !(itr.key == 1 && itr.j == 8463) { t.Fatalf("iterator did not seek missing value correctly: %v\n", itr) } itr.Seek(70999) if !(itr.key == 1 && itr.j == 5462) { t.Fatalf("iterator did not seek correctly in multiple containers: %v\n", itr) } val, eof = itr.Next() if !(val == 70999 && !eof) { t.Fatalf("iterator did not next correctly: %d, %v\n", val, eof) } itr.Seek(75100) val, eof = itr.Next() if !(val == 0 && eof) { t.Fatalf("iterator did not eof correctly: %d, %v\n", val, eof) } // Test for seeking value not in bitmap, where next container that the iterator should // go to has values with low bits smaller than the low bits of seek. for i := uint64(65536*3 + 2); i < 65536*3+4110; i++ { if i != 65536*3+5 && i != 65536*3+7 { if _, err := b.Add(i); err != nil { t.Fatalf("adding bit: %v", err) } } } // We expect this to be a bitmap container because more than // 4096 bits have been set, but Optimize() has not been called. if !b.Containers.Get(3).isBitmap() { t.Fatalf("wrong container type") } // Both 65536*2+5 and 65536*3+5 are not in b. itr.Seek(65536*2 + 5) if !(itr.key == 3 && itr.j == -1) { t.Fatalf("iterator did not seek correctly in next container: %v\n", itr) } val, eof = itr.Next() if !((val == 65536*3+2) && !eof) { t.Fatalf("iterator did not next correctly to next container: %d, %v\n", val, eof) } val, eof = itr.Next() if !((val == 65536*3+3) && !eof) { t.Fatalf("iterator did not next correctly to next container: %d, %v\n", val, eof) } } func TestIteratorRuns(t *testing.T) { b := NewFileBitmap(0, 1, 2, 3, 4, 5, 1000, 1001, 1002, 1003, 1004, 1005, 100000, 100001, 100002, 100003, 100004, 100005) b.Optimize() if !b.Containers.Get(0).isRun() { t.Fatalf("wrong container type") } itr := b.Iterator() if !(itr.key == 0 && itr.j == 0 && itr.k == -1) { t.Fatalf("iterator did not zero correctly: %v\n", itr) } itr.Seek(4) if !(itr.key == 0 && itr.j == 0 && itr.k == 3) { t.Fatalf("iterator did not seek correctly: %v\n", itr) } itr.Next() itr.Next() val, eof := itr.Next() if !(val == 1000 && !eof) { t.Fatalf("iterator did not next correctly across runs: %v, %v", val, itr) } itr.Next() val, eof = itr.Next() if !(val == 1002 && !eof) { t.Fatalf("iterator did not next correctly within a run: %v, %v", val, itr) } itr.Next() itr.Next() itr.Next() val, eof = itr.Next() if !(val == 100000 && !eof) { t.Fatalf("iterator did not next correctly across containers: %v, %v", val, itr) } itr.Seek(500) if !(itr.key == 0 && itr.j == 1 && itr.k == -1) { t.Fatalf("iterator did not seek missing value correctly: %v\n", itr) } itr.Seek(1004) if !(itr.key == 0 && itr.j == 1 && itr.k == 3) { t.Fatalf("iterator did not seek correctly in multiple runs: %v\n", itr) } itr.Seek(1005) if !(itr.key == 0 && itr.j == 1 && itr.k == 4) { t.Fatalf("iterator did not seek correctly to end of run: %v\n", itr) } itr.Seek(1007) if !(itr.key == 1 && itr.j == -1 && itr.k == -1) { t.Fatalf("iterator did not seek correctly to end of run: %v\n", itr) } val, eof = itr.Next() if !(val == 100000 && !eof) { t.Fatalf("iterator did not next correctly across containers: %v, %v", val, itr) } itr.Seek(100005) if !(itr.key == 1 && itr.j == 0 && itr.k == 4) { t.Fatalf("iterator did not seek correctly in multiple containers: %v\n", itr) } itr.Next() val, eof = itr.Next() if !(val == 0 && eof) { t.Fatalf("iterator did not eof correctly: %d, %v\n", val, eof) } // Test for seeking value not in bitmap, where next container that the iterator should // go to has values with low bits smaller than the low bits of seek. for i := uint64(65536*3 + 1); i <= 65536*3+8; i++ { if _, err := b.Add(i); err != nil { t.Fatalf("adding bit: %v", err) } } for i := uint64(65536*3 + 10); i <= 65536*3+20; i++ { if _, err := b.Add(i); err != nil { t.Fatalf("adding bit: %v", err) } } b.Optimize() if !b.Containers.Get(3).isRun() { t.Fatalf("wrong container type") } // Both 65536*2+9 and 65536*3+9 are not in b. itr.Seek(65536*2 + 9) if !(itr.key == 3 && itr.j == 0 && itr.k == -1) { t.Fatalf("iterator did not seek correctly in next container: %v\n", itr) } val, eof = itr.Next() if !((val == 65536*3+1) && !eof) { t.Fatalf("iterator did not next correctly to next container: %d, %v\n", val, eof) } val, eof = itr.Next() if !((val == 65536*3+2) && !eof) { t.Fatalf("iterator did not next correctly to next container: %d, %v\n", val, eof) } } func TestIteratorVarious(t *testing.T) { tests := []struct { bm *Bitmap exp uint64 }{ { bm: NewFileBitmap(3, 4, 5), exp: 3, }, { bm: bitmapVariousContainers(), exp: 61221, }, { bm: NewFileBitmap(2, 66000, 70000, 70001, 70002, 70003, 70004), exp: 7, }, } for i, test := range tests { test.bm.Optimize() t.Run(fmt.Sprintf("#%d:", i), func(t *testing.T) { if cnt := test.bm.Count(); cnt != test.exp { t.Fatalf("merged count %d is not %d", cnt, test.exp) } iter := test.bm.Iterator() bits := make([]uint64, 0, test.bm.Count()) for v, eof := iter.Next(); !eof; v, eof = iter.Next() { bits = append(bits, v) } if length := len(bits); uint64(length) != test.exp { t.Fatalf("length %d is not %d", length, test.exp) } }) } } func TestRunBinSearchContains(t *testing.T) { tests := []struct { runs []interval16 index uint16 exp struct { index int32 found bool } }{ { runs: []interval16{{start: 0, last: 10}}, index: uint16(3), exp: struct { index int32 found bool }{index: 0, found: true}, }, { runs: []interval16{{start: 0, last: 10}}, index: uint16(13), exp: struct { index int32 found bool }{index: 0, found: false}, }, { runs: []interval16{{start: 0, last: 10}, {start: 20, last: 30}}, index: uint16(13), exp: struct { index int32 found bool }{index: 0, found: false}, }, { runs: []interval16{{start: 0, last: 10}, {start: 20, last: 30}}, index: uint16(36), exp: struct { index int32 found bool }{index: 1, found: false}, }, } for i, test := range tests { index := test.index runs := test.runs idx, found := binSearchRuns(index, runs) if test.exp.index != idx && test.exp.found != found { t.Fatalf("test #%v expected %v , but got %v %v", i, test.exp, idx, found) } } } func TestRunBinSearch(t *testing.T) { tests := []struct { runs []interval16 search uint16 exp bool expi int32 }{ { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 1, exp: false, expi: 0, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 2, exp: true, expi: 0, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 5, exp: true, expi: 0, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 10, exp: true, expi: 0, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 20, exp: false, expi: 1, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 55, exp: true, expi: 1, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 70, exp: false, expi: 2, }, { runs: []interval16{{2, 10}, {50, 60}, {80, 90}}, search: 100, exp: false, expi: 3, }, } for i, test := range tests { idx, contains := binSearchRuns(test.search, test.runs) if !(test.exp == contains && test.expi == idx) { t.Fatalf("test #%v expected (%v, %v) but got (%v, %v)", i, test.exp, test.expi, contains, idx) } } } func TestBitmap_RemoveEmptyContainers(t *testing.T) { bm1 := NewFileBitmap(1<<16, 2<<16, 3<<16) bm2 := NewFileBitmap(1<<16, 2<<16+1, 3<<16) bm3 := bm1.Intersect(bm2) if bm3.countEmptyContainers() != 1 { t.Fatalf("Should be 1 empty container ") } bm3.removeEmptyContainers() if bm3.countEmptyContainers() != 0 { t.Fatalf("Should be no empty containers ") } } func TestBitmap_BitmapWriteToWithEmpty(t *testing.T) { bm1 := NewFileBitmap(1<<16, 2<<16, 3<<16) if _, err := bm1.Remove(2 << 16); err != nil { t.Fatalf("removing a bit: %v", err) } var buf bytes.Buffer if _, err := bm1.WriteTo(&buf); err != nil { t.Fatalf("Failure to write to bitmap buffer. ") } bm0 := NewFileBitmap() if err := bm0.UnmarshalBinary(buf.Bytes()); err != nil { t.Fatalf("unmarshalling: %v", err) } if bm0.countEmptyContainers() != 0 { t.Fatalf("Should be no empty containers ") } if bm0.Count() != bm1.Count() { t.Fatalf("Counts do not match after a marshal %d %d", bm0.Count(), bm1.Count()) } } func TestSearch64(t *testing.T) { tests := []struct { a []uint64 value uint64 exp int }{ { a: []uint64{1, 5, 10, 12}, value: 5, exp: 1, }, { a: []uint64{1, 5, 10, 12}, value: 1, exp: 0, }, { a: []uint64{1, 5, 10, 12}, value: 0, exp: -1, }, { a: []uint64{1, 5, 10, 12}, value: 2, exp: -2, }, { a: []uint64{1, 5, 10, 12}, value: 7, exp: -3, }, { a: []uint64{1, 5, 10, 12}, value: 11, exp: -4, }, { a: []uint64{1, 5, 10, 12}, value: 13, exp: -5, }, { a: []uint64{1, 5, 10, 12}, value: 3843534, exp: -5, }, { a: []uint64{}, value: 3843534, exp: -1, }, { a: []uint64{}, value: 0, exp: -1, }, { a: []uint64{0}, value: 0, exp: 0, }, { a: []uint64{0}, value: 1, exp: -2, }, } for _, test := range tests { t.Run(fmt.Sprintf("%d in %v", test.value, test.a), func(t *testing.T) { actual := search64(test.a, test.value) if actual != test.exp { t.Errorf("got: %d, exp: %d", actual, test.exp) } }) } } func TestIntersectArrayBitmap(t *testing.T) { tests := []struct { array []uint16 bitmap []uint64 exp []uint16 }{ { array: []uint16{0}, bitmap: []uint64{1}, exp: []uint16{0}, }, { array: []uint16{0, 1}, bitmap: []uint64{3}, exp: []uint16{0, 1}, }, { array: []uint16{64, 128, 129, 2000}, bitmap: []uint64{932421, 2}, exp: []uint16{}, }, { array: []uint16{0, 65, 130, 195}, bitmap: []uint64{255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255}, exp: []uint16{0, 65, 130, 195}, }, { array: []uint16{63, 120, 543, 639, 12000}, bitmap: []uint64{0x8000000000000000, 0, 0, 0, 0, 0, 0, 0, 0, 0x8000000000000000}, exp: []uint16{63, 639}, }, { array: []uint16{0, 1, 63, 120, 543, 639, 12000, 65534, 65535}, bitmap: bitmapOddBitsSet(), exp: []uint16{1, 63, 543, 639, 65535}, }, { array: []uint16{0, 1, 63, 120, 543, 639, 12000, 65534, 65535}, bitmap: bitmapEvenBitsSet(), exp: []uint16{0, 120, 12000, 65534}, }, } for i, test := range tests { a := NewContainerArray(test.array) b := NewContainerBitmap(-1, test.bitmap) ret := intersectArrayBitmap(a, b).array() if len(ret) == 0 && len(test.exp) == 0 { continue } if !reflect.DeepEqual(ret, test.exp) { t.Fatalf("test #%v intersectArrayBitmap received: %v exp: %v", i, ret, test.exp) } } } func TestBitmapClone(t *testing.T) { b := NewFileBitmap() for i := uint64(61000); i < 71000; i++ { if _, err := b.Add(i); err != nil { t.Fatalf("adding bit: %v", err) } } c := b.Clone() if err := bitmapsEqual(b, c); err != nil { t.Fatalf("Clone Objects not equal: %v\n", err) } d := func() *Bitmap { //anybody know how to declare a nil value? return nil }() e := d.Clone() if e != nil { t.Fatalf("Clone nil Objects not equal\n") } } // rleCont returns a slice of numbers all in the range starting from // container_width*num, and ending at container_width*(num+1)-1. If left is // true, then the first 100 bits will be set, if mid is true, 100 bits in the // middle will be set, if right is true, the last 100 bits will be set. // sets 100 bits per true func rleCont(num int, left, mid, right bool) []uint64 { ret := make([]uint64, 0) base := containerWidth * uint64(num) if left { for i := uint64(0); i < 100; i++ { ret = append(ret, base+i) } } if mid { for i := containerWidth / 2; i < containerWidth/2+100; i++ { ret = append(ret, base+i) } } if right { for i := containerWidth - 100; i < containerWidth; i++ { ret = append(ret, base+i) } } return ret } // sets 2 bits per true. func arrCont(num int, left, mid, right bool) []uint64 { ret := make([]uint64, 0) base := containerWidth * uint64(num) if left { ret = append(ret, base+0, base+2) } if mid { half := containerWidth / 2 ret = append(ret, base+half, base+half+2) } if right { ret = append(ret, base+containerWidth-3, base+containerWidth-1) } return ret } // sets 6667 bits per true. func bitCont(num int, left, mid, right bool) []uint64 { ret := make([]uint64, 0) base := containerWidth * uint64(num) if left { for i := uint64(0); i < 20001; i += 3 { ret = append(ret, base+i) } } if mid { for i := uint64(21000); i < 41001; i += 3 { ret = append(ret, base+i) } } if right { for i := uint64(45537); i <= 65535; i += 3 { ret = append(ret, base+i) } } return ret } func bitmapVariousContainers() *Bitmap { bits := make([]uint64, 0) bits = append(bits, rleCont(0, true, true, true)...) bits = append(bits, rleCont(1, true, true, true)...) bits = append(bits, arrCont(2, true, true, true)...) bits = append(bits, arrCont(3, true, true, true)...) bits = append(bits, bitCont(4, true, true, true)...) bits = append(bits, bitCont(5, true, true, true)...) bits = append(bits, rleCont(6, true, true, true)...) bits = append(bits, bitCont(7, true, true, true)...) bits = append(bits, arrCont(8, true, true, true)...) bits = append(bits, rleCont(9, true, true, true)...) bm := NewFileBitmap(bits...) bm.Optimize() return bm } /////////////////////////////////////////////////////////////////////////// func getFunctionName(i interface{}) string { x := runtime.FuncForPC(reflect.ValueOf(i).Pointer()).Name() y := strings.Split(x, ".") y = y[len(y)-1:] return y[0] } // UnionInPlace is defined at the Bitmap level, but this wrapper lets us insert // it into our ContainerCombinations tests so that it gets exercised on a wide // variety of container data. func unionInPlaceWrapper(a, b *Container) *Container { out := NewBitmap() out.Containers.Put(0, a.Clone()) B := NewBitmap() B.Containers.Put(0, b) out.UnionInPlace(B) return out.Containers.Get(0) } func TestContainerCombinations(t *testing.T) { cts := setupContainerTests() containerTypes := []byte{containerArray, containerBitmap, containerRun} testOps := []testOp{ // intersect {intersect, "empty", "empty", "empty"}, {intersect, "empty", "full", "empty"}, {intersect, "empty", "firstBitSet", "empty"}, {intersect, "empty", "lastBitSet", "empty"}, {intersect, "empty", "firstBitUnset", "empty"}, {intersect, "empty", "lastBitUnset", "empty"}, {intersect, "empty", "innerBitsSet", "empty"}, {intersect, "empty", "outerBitsSet", "empty"}, {intersect, "empty", "oddBitsSet", "empty"}, {intersect, "empty", "evenBitsSet", "empty"}, // {intersect, "full", "empty", "empty"}, {intersect, "full", "full", "full"}, {intersect, "full", "firstBitSet", "firstBitSet"}, {intersect, "full", "lastBitSet", "lastBitSet"}, {intersect, "full", "firstBitUnset", "firstBitUnset"}, {intersect, "full", "lastBitUnset", "lastBitUnset"}, {intersect, "full", "innerBitsSet", "innerBitsSet"}, {intersect, "full", "outerBitsSet", "outerBitsSet"}, {intersect, "full", "oddBitsSet", "oddBitsSet"}, {intersect, "full", "evenBitsSet", "evenBitsSet"}, // {intersect, "firstBitSet", "empty", "empty"}, {intersect, "firstBitSet", "full", "firstBitSet"}, {intersect, "firstBitSet", "firstBitSet", "firstBitSet"}, {intersect, "firstBitSet", "lastBitSet", "empty"}, {intersect, "firstBitSet", "firstBitUnset", "empty"}, {intersect, "firstBitSet", "lastBitUnset", "firstBitSet"}, {intersect, "firstBitSet", "innerBitsSet", "empty"}, {intersect, "firstBitSet", "outerBitsSet", "firstBitSet"}, {intersect, "firstBitSet", "oddBitsSet", "empty"}, {intersect, "firstBitSet", "evenBitsSet", "firstBitSet"}, // {intersect, "lastBitSet", "empty", "empty"}, {intersect, "lastBitSet", "full", "lastBitSet"}, {intersect, "lastBitSet", "firstBitSet", "empty"}, {intersect, "lastBitSet", "lastBitSet", "lastBitSet"}, {intersect, "lastBitSet", "firstBitUnset", "lastBitSet"}, {intersect, "lastBitSet", "lastBitUnset", "empty"}, {intersect, "lastBitSet", "innerBitsSet", "empty"}, {intersect, "lastBitSet", "outerBitsSet", "lastBitSet"}, {intersect, "lastBitSet", "oddBitsSet", "lastBitSet"}, {intersect, "lastBitSet", "evenBitsSet", "empty"}, // {intersect, "firstBitUnset", "empty", "empty"}, {intersect, "firstBitUnset", "full", "firstBitUnset"}, {intersect, "firstBitUnset", "firstBitSet", "empty"}, {intersect, "firstBitUnset", "lastBitSet", "lastBitSet"}, {intersect, "firstBitUnset", "firstBitUnset", "firstBitUnset"}, {intersect, "firstBitUnset", "lastBitUnset", "innerBitsSet"}, {intersect, "firstBitUnset", "innerBitsSet", "innerBitsSet"}, {intersect, "firstBitUnset", "outerBitsSet", "lastBitSet"}, {intersect, "firstBitUnset", "oddBitsSet", "oddBitsSet"}, //{intersect, "firstBitUnset", "evenBitsSet", ""}, // {intersect, "lastBitUnset", "empty", "empty"}, {intersect, "lastBitUnset", "full", "lastBitUnset"}, {intersect, "lastBitUnset", "firstBitSet", "firstBitSet"}, {intersect, "lastBitUnset", "lastBitSet", "empty"}, {intersect, "lastBitUnset", "firstBitUnset", "innerBitsSet"}, {intersect, "lastBitUnset", "lastBitUnset", "lastBitUnset"}, {intersect, "lastBitUnset", "innerBitsSet", "innerBitsSet"}, {intersect, "lastBitUnset", "outerBitsSet", "firstBitSet"}, //{intersect, "lastBitUnset", "oddBitsSet", ""}, {intersect, "lastBitUnset", "evenBitsSet", "evenBitsSet"}, // {intersect, "innerBitsSet", "empty", "empty"}, {intersect, "innerBitsSet", "full", "innerBitsSet"}, {intersect, "innerBitsSet", "firstBitSet", "empty"}, {intersect, "innerBitsSet", "lastBitSet", "empty"}, {intersect, "innerBitsSet", "firstBitUnset", "innerBitsSet"}, {intersect, "innerBitsSet", "lastBitUnset", "innerBitsSet"}, {intersect, "innerBitsSet", "innerBitsSet", "innerBitsSet"}, {intersect, "innerBitsSet", "outerBitsSet", "empty"}, //{intersect, "innerBitsSet", "oddBitsSet", ""}, //{intersect, "innerBitsSet", "evenBitsSet", ""}, // {intersect, "outerBitsSet", "empty", "empty"}, {intersect, "outerBitsSet", "full", "outerBitsSet"}, {intersect, "outerBitsSet", "firstBitSet", "firstBitSet"}, {intersect, "outerBitsSet", "lastBitSet", "lastBitSet"}, {intersect, "outerBitsSet", "firstBitUnset", "lastBitSet"}, {intersect, "outerBitsSet", "lastBitUnset", "firstBitSet"}, {intersect, "outerBitsSet", "innerBitsSet", "empty"}, {intersect, "outerBitsSet", "outerBitsSet", "outerBitsSet"}, {intersect, "outerBitsSet", "oddBitsSet", "lastBitSet"}, {intersect, "outerBitsSet", "evenBitsSet", "firstBitSet"}, // {intersect, "oddBitsSet", "empty", "empty"}, {intersect, "oddBitsSet", "full", "oddBitsSet"}, {intersect, "oddBitsSet", "firstBitSet", "empty"}, {intersect, "oddBitsSet", "lastBitSet", "lastBitSet"}, {intersect, "oddBitsSet", "firstBitUnset", "oddBitsSet"}, //{intersect, "oddBitsSet", "lastBitUnset", ""}, //{intersect, "oddBitsSet", "innerBitsSet", ""}, {intersect, "oddBitsSet", "outerBitsSet", "lastBitSet"}, {intersect, "oddBitsSet", "oddBitsSet", "oddBitsSet"}, {intersect, "oddBitsSet", "evenBitsSet", "empty"}, // {intersect, "evenBitsSet", "empty", "empty"}, {intersect, "evenBitsSet", "full", "evenBitsSet"}, {intersect, "evenBitsSet", "firstBitSet", "firstBitSet"}, {intersect, "evenBitsSet", "lastBitSet", "empty"}, //{intersect, "evenBitsSet", "firstBitUnset", ""}, {intersect, "evenBitsSet", "lastBitUnset", "evenBitsSet"}, //{intersect, "evenBitsSet", "innerBitsSet", ""}, {intersect, "evenBitsSet", "outerBitsSet", "firstBitSet"}, {intersect, "evenBitsSet", "oddBitsSet", "empty"}, {intersect, "evenBitsSet", "evenBitsSet", "evenBitsSet"}, // union {union, "empty", "empty", "empty"}, {union, "empty", "full", "full"}, {union, "empty", "firstBitSet", "firstBitSet"}, {union, "empty", "lastBitSet", "lastBitSet"}, {union, "empty", "firstBitUnset", "firstBitUnset"}, {union, "empty", "lastBitUnset", "lastBitUnset"}, {union, "empty", "innerBitsSet", "innerBitsSet"}, {union, "empty", "outerBitsSet", "outerBitsSet"}, {union, "empty", "oddBitsSet", "oddBitsSet"}, {union, "empty", "evenBitsSet", "evenBitsSet"}, // {union, "full", "empty", "full"}, {union, "full", "full", "full"}, {union, "full", "firstBitSet", "full"}, {union, "full", "lastBitSet", "full"}, {union, "full", "firstBitUnset", "full"}, {union, "full", "lastBitUnset", "full"}, {union, "full", "innerBitsSet", "full"}, {union, "full", "outerBitsSet", "full"}, {union, "full", "oddBitsSet", "full"}, {union, "full", "evenBitsSet", "full"}, // {union, "firstBitSet", "empty", "firstBitSet"}, {union, "firstBitSet", "full", "full"}, {union, "firstBitSet", "firstBitSet", "firstBitSet"}, {union, "firstBitSet", "lastBitSet", "outerBitsSet"}, {union, "firstBitSet", "firstBitUnset", "full"}, {union, "firstBitSet", "lastBitUnset", "lastBitUnset"}, {union, "firstBitSet", "innerBitsSet", "lastBitUnset"}, {union, "firstBitSet", "outerBitsSet", "outerBitsSet"}, //{union, "firstBitSet", "oddBitsSet", ""}, {union, "firstBitSet", "evenBitsSet", "evenBitsSet"}, // {union, "lastBitSet", "empty", "lastBitSet"}, {union, "lastBitSet", "full", "full"}, {union, "lastBitSet", "firstBitSet", "outerBitsSet"}, {union, "lastBitSet", "lastBitSet", "lastBitSet"}, {union, "lastBitSet", "firstBitUnset", "firstBitUnset"}, {union, "lastBitSet", "lastBitUnset", "full"}, {union, "lastBitSet", "innerBitsSet", "firstBitUnset"}, {union, "lastBitSet", "outerBitsSet", "outerBitsSet"}, {union, "lastBitSet", "oddBitsSet", "oddBitsSet"}, //{union, "lastBitSet", "evenBitsSet", ""}, // {union, "firstBitUnset", "empty", "firstBitUnset"}, {union, "firstBitUnset", "full", "full"}, {union, "firstBitUnset", "firstBitSet", "full"}, {union, "firstBitUnset", "lastBitSet", "firstBitUnset"}, {union, "firstBitUnset", "firstBitUnset", "firstBitUnset"}, {union, "firstBitUnset", "lastBitUnset", "full"}, {union, "firstBitUnset", "innerBitsSet", "firstBitUnset"}, {union, "firstBitUnset", "outerBitsSet", "full"}, {union, "firstBitUnset", "oddBitsSet", "firstBitUnset"}, {union, "firstBitUnset", "evenBitsSet", "full"}, // {union, "lastBitUnset", "empty", "lastBitUnset"}, {union, "lastBitUnset", "full", "full"}, {union, "lastBitUnset", "firstBitSet", "lastBitUnset"}, {union, "lastBitUnset", "lastBitSet", "full"}, {union, "lastBitUnset", "firstBitUnset", "full"}, {union, "lastBitUnset", "lastBitUnset", "lastBitUnset"}, {union, "lastBitUnset", "innerBitsSet", "lastBitUnset"}, {union, "lastBitUnset", "outerBitsSet", "full"}, {union, "lastBitUnset", "oddBitsSet", "full"}, {union, "lastBitUnset", "evenBitsSet", "lastBitUnset"}, // {union, "innerBitsSet", "empty", "innerBitsSet"}, {union, "innerBitsSet", "full", "full"}, {union, "innerBitsSet", "firstBitSet", "lastBitUnset"}, {union, "innerBitsSet", "lastBitSet", "firstBitUnset"}, {union, "innerBitsSet", "firstBitUnset", "firstBitUnset"}, {union, "innerBitsSet", "lastBitUnset", "lastBitUnset"}, {union, "innerBitsSet", "innerBitsSet", "innerBitsSet"}, {union, "innerBitsSet", "outerBitsSet", "full"}, {union, "innerBitsSet", "oddBitsSet", "firstBitUnset"}, {union, "innerBitsSet", "evenBitsSet", "lastBitUnset"}, // {union, "outerBitsSet", "empty", "outerBitsSet"}, {union, "outerBitsSet", "full", "full"}, {union, "outerBitsSet", "firstBitSet", "outerBitsSet"}, {union, "outerBitsSet", "lastBitSet", "outerBitsSet"}, {union, "outerBitsSet", "firstBitUnset", "full"}, {union, "outerBitsSet", "lastBitUnset", "full"}, {union, "outerBitsSet", "innerBitsSet", "full"}, {union, "outerBitsSet", "outerBitsSet", "outerBitsSet"}, //{union, "outerBitsSet", "oddBitsSet", ""}, //{union, "outerBitsSet", "evenBitsSet", ""}, // {union, "oddBitsSet", "empty", "oddBitsSet"}, {union, "oddBitsSet", "full", "full"}, //{union, "oddBitsSet", "firstBitSet", ""}, {union, "oddBitsSet", "lastBitSet", "oddBitsSet"}, {union, "oddBitsSet", "firstBitUnset", "firstBitUnset"}, {union, "oddBitsSet", "lastBitUnset", "full"}, {union, "oddBitsSet", "innerBitsSet", "firstBitUnset"}, //{union, "oddBitsSet", "outerBitsSet", ""}, {union, "oddBitsSet", "oddBitsSet", "oddBitsSet"}, {union, "oddBitsSet", "evenBitsSet", "full"}, // {union, "evenBitsSet", "empty", "evenBitsSet"}, {union, "evenBitsSet", "full", "full"}, {union, "evenBitsSet", "firstBitSet", "evenBitsSet"}, //{union, "evenBitsSet", "lastBitSet", ""}, {union, "evenBitsSet", "firstBitUnset", "full"}, {union, "evenBitsSet", "lastBitUnset", "lastBitUnset"}, {union, "evenBitsSet", "innerBitsSet", "lastBitUnset"}, //{union, "evenBitsSet", "outerBitsSet", ""}, {union, "evenBitsSet", "oddBitsSet", "full"}, {union, "evenBitsSet", "evenBitsSet", "evenBitsSet"}, // unionInPlaceWrapper {unionInPlaceWrapper, "empty", "empty", "empty"}, {unionInPlaceWrapper, "empty", "full", "full"}, {unionInPlaceWrapper, "empty", "firstBitSet", "firstBitSet"}, {unionInPlaceWrapper, "empty", "lastBitSet", "lastBitSet"}, {unionInPlaceWrapper, "empty", "firstBitUnset", "firstBitUnset"}, {unionInPlaceWrapper, "empty", "lastBitUnset", "lastBitUnset"}, {unionInPlaceWrapper, "empty", "innerBitsSet", "innerBitsSet"}, {unionInPlaceWrapper, "empty", "outerBitsSet", "outerBitsSet"}, {unionInPlaceWrapper, "empty", "oddBitsSet", "oddBitsSet"}, {unionInPlaceWrapper, "empty", "evenBitsSet", "evenBitsSet"}, // {unionInPlaceWrapper, "full", "empty", "full"}, {unionInPlaceWrapper, "full", "full", "full"}, {unionInPlaceWrapper, "full", "firstBitSet", "full"}, {unionInPlaceWrapper, "full", "lastBitSet", "full"}, {unionInPlaceWrapper, "full", "firstBitUnset", "full"}, {unionInPlaceWrapper, "full", "lastBitUnset", "full"}, {unionInPlaceWrapper, "full", "innerBitsSet", "full"}, {unionInPlaceWrapper, "full", "outerBitsSet", "full"}, {unionInPlaceWrapper, "full", "oddBitsSet", "full"}, {unionInPlaceWrapper, "full", "evenBitsSet", "full"}, // {unionInPlaceWrapper, "firstBitSet", "empty", "firstBitSet"}, {unionInPlaceWrapper, "firstBitSet", "full", "full"}, {unionInPlaceWrapper, "firstBitSet", "firstBitSet", "firstBitSet"}, {unionInPlaceWrapper, "firstBitSet", "lastBitSet", "outerBitsSet"}, {unionInPlaceWrapper, "firstBitSet", "firstBitUnset", "full"}, {unionInPlaceWrapper, "firstBitSet", "lastBitUnset", "lastBitUnset"}, {unionInPlaceWrapper, "firstBitSet", "innerBitsSet", "lastBitUnset"}, {unionInPlaceWrapper, "firstBitSet", "outerBitsSet", "outerBitsSet"}, //{unionInPlaceWrapper, "firstBitSet", "oddBitsSet", ""}, {unionInPlaceWrapper, "firstBitSet", "evenBitsSet", "evenBitsSet"}, // {unionInPlaceWrapper, "lastBitSet", "empty", "lastBitSet"}, {unionInPlaceWrapper, "lastBitSet", "full", "full"}, {unionInPlaceWrapper, "lastBitSet", "firstBitSet", "outerBitsSet"}, {unionInPlaceWrapper, "lastBitSet", "lastBitSet", "lastBitSet"}, {unionInPlaceWrapper, "lastBitSet", "firstBitUnset", "firstBitUnset"}, {unionInPlaceWrapper, "lastBitSet", "lastBitUnset", "full"}, {unionInPlaceWrapper, "lastBitSet", "innerBitsSet", "firstBitUnset"}, {unionInPlaceWrapper, "lastBitSet", "outerBitsSet", "outerBitsSet"}, {unionInPlaceWrapper, "lastBitSet", "oddBitsSet", "oddBitsSet"}, //{unionInPlaceWrapper, "lastBitSet", "evenBitsSet", ""}, // {unionInPlaceWrapper, "firstBitUnset", "empty", "firstBitUnset"}, {unionInPlaceWrapper, "firstBitUnset", "full", "full"}, {unionInPlaceWrapper, "firstBitUnset", "firstBitSet", "full"}, {unionInPlaceWrapper, "firstBitUnset", "lastBitSet", "firstBitUnset"}, {unionInPlaceWrapper, "firstBitUnset", "firstBitUnset", "firstBitUnset"}, {unionInPlaceWrapper, "firstBitUnset", "lastBitUnset", "full"}, {unionInPlaceWrapper, "firstBitUnset", "innerBitsSet", "firstBitUnset"}, {unionInPlaceWrapper, "firstBitUnset", "outerBitsSet", "full"}, {unionInPlaceWrapper, "firstBitUnset", "oddBitsSet", "firstBitUnset"}, {unionInPlaceWrapper, "firstBitUnset", "evenBitsSet", "full"}, // {unionInPlaceWrapper, "lastBitUnset", "empty", "lastBitUnset"}, {unionInPlaceWrapper, "lastBitUnset", "full", "full"}, {unionInPlaceWrapper, "lastBitUnset", "firstBitSet", "lastBitUnset"}, {unionInPlaceWrapper, "lastBitUnset", "lastBitSet", "full"}, {unionInPlaceWrapper, "lastBitUnset", "firstBitUnset", "full"}, {unionInPlaceWrapper, "lastBitUnset", "lastBitUnset", "lastBitUnset"}, {unionInPlaceWrapper, "lastBitUnset", "innerBitsSet", "lastBitUnset"}, {unionInPlaceWrapper, "lastBitUnset", "outerBitsSet", "full"}, {unionInPlaceWrapper, "lastBitUnset", "oddBitsSet", "full"}, {unionInPlaceWrapper, "lastBitUnset", "evenBitsSet", "lastBitUnset"}, // {unionInPlaceWrapper, "innerBitsSet", "empty", "innerBitsSet"}, {unionInPlaceWrapper, "innerBitsSet", "full", "full"}, {unionInPlaceWrapper, "innerBitsSet", "firstBitSet", "lastBitUnset"}, {unionInPlaceWrapper, "innerBitsSet", "lastBitSet", "firstBitUnset"}, {unionInPlaceWrapper, "innerBitsSet", "firstBitUnset", "firstBitUnset"}, {unionInPlaceWrapper, "innerBitsSet", "lastBitUnset", "lastBitUnset"}, {unionInPlaceWrapper, "innerBitsSet", "innerBitsSet", "innerBitsSet"}, {unionInPlaceWrapper, "innerBitsSet", "outerBitsSet", "full"}, {unionInPlaceWrapper, "innerBitsSet", "oddBitsSet", "firstBitUnset"}, {unionInPlaceWrapper, "innerBitsSet", "evenBitsSet", "lastBitUnset"}, // {unionInPlaceWrapper, "outerBitsSet", "empty", "outerBitsSet"}, {unionInPlaceWrapper, "outerBitsSet", "full", "full"}, {unionInPlaceWrapper, "outerBitsSet", "firstBitSet", "outerBitsSet"}, {unionInPlaceWrapper, "outerBitsSet", "lastBitSet", "outerBitsSet"}, {unionInPlaceWrapper, "outerBitsSet", "firstBitUnset", "full"}, {unionInPlaceWrapper, "outerBitsSet", "lastBitUnset", "full"}, {unionInPlaceWrapper, "outerBitsSet", "innerBitsSet", "full"}, {unionInPlaceWrapper, "outerBitsSet", "outerBitsSet", "outerBitsSet"}, //{unionInPlaceWrapper, "outerBitsSet", "oddBitsSet", ""}, //{unionInPlaceWrapper, "outerBitsSet", "evenBitsSet", ""}, // {unionInPlaceWrapper, "oddBitsSet", "empty", "oddBitsSet"}, {unionInPlaceWrapper, "oddBitsSet", "full", "full"}, //{unionInPlaceWrapper, "oddBitsSet", "firstBitSet", ""}, {unionInPlaceWrapper, "oddBitsSet", "lastBitSet", "oddBitsSet"}, {unionInPlaceWrapper, "oddBitsSet", "firstBitUnset", "firstBitUnset"}, {unionInPlaceWrapper, "oddBitsSet", "lastBitUnset", "full"}, {unionInPlaceWrapper, "oddBitsSet", "innerBitsSet", "firstBitUnset"}, //{unionInPlaceWrapper, "oddBitsSet", "outerBitsSet", ""}, {unionInPlaceWrapper, "oddBitsSet", "oddBitsSet", "oddBitsSet"}, {unionInPlaceWrapper, "oddBitsSet", "evenBitsSet", "full"}, // {unionInPlaceWrapper, "evenBitsSet", "empty", "evenBitsSet"}, {unionInPlaceWrapper, "evenBitsSet", "full", "full"}, {unionInPlaceWrapper, "evenBitsSet", "firstBitSet", "evenBitsSet"}, //{unionInPlaceWrapper, "evenBitsSet", "lastBitSet", ""}, {unionInPlaceWrapper, "evenBitsSet", "firstBitUnset", "full"}, {unionInPlaceWrapper, "evenBitsSet", "lastBitUnset", "lastBitUnset"}, {unionInPlaceWrapper, "evenBitsSet", "innerBitsSet", "lastBitUnset"}, //{unionInPlaceWrapper, "evenBitsSet", "outerBitsSet", ""}, {unionInPlaceWrapper, "evenBitsSet", "oddBitsSet", "full"}, {unionInPlaceWrapper, "evenBitsSet", "evenBitsSet", "evenBitsSet"}, // difference {difference, "empty", "empty", "empty"}, {difference, "empty", "full", "empty"}, {difference, "empty", "firstBitSet", "empty"}, {difference, "empty", "lastBitSet", "empty"}, {difference, "empty", "firstBitUnset", "empty"}, {difference, "empty", "lastBitUnset", "empty"}, {difference, "empty", "innerBitsSet", "empty"}, {difference, "empty", "outerBitsSet", "empty"}, {difference, "empty", "oddBitsSet", "empty"}, {difference, "empty", "evenBitsSet", "empty"}, // {difference, "full", "empty", "full"}, {difference, "full", "full", "empty"}, {difference, "full", "firstBitSet", "firstBitUnset"}, {difference, "full", "lastBitSet", "lastBitUnset"}, {difference, "full", "firstBitUnset", "firstBitSet"}, {difference, "full", "lastBitUnset", "lastBitSet"}, {difference, "full", "innerBitsSet", "outerBitsSet"}, {difference, "full", "outerBitsSet", "innerBitsSet"}, {difference, "full", "oddBitsSet", "evenBitsSet"}, {difference, "full", "evenBitsSet", "oddBitsSet"}, // {difference, "firstBitSet", "empty", "firstBitSet"}, {difference, "firstBitSet", "full", "empty"}, {difference, "firstBitSet", "firstBitSet", "empty"}, {difference, "firstBitSet", "lastBitSet", "firstBitSet"}, {difference, "firstBitSet", "firstBitUnset", "firstBitSet"}, {difference, "firstBitSet", "lastBitUnset", "empty"}, {difference, "firstBitSet", "innerBitsSet", "firstBitSet"}, {difference, "firstBitSet", "outerBitsSet", "empty"}, {difference, "firstBitSet", "oddBitsSet", "firstBitSet"}, {difference, "firstBitSet", "evenBitsSet", "empty"}, // {difference, "lastBitSet", "empty", "lastBitSet"}, {difference, "lastBitSet", "full", "empty"}, {difference, "lastBitSet", "firstBitSet", "lastBitSet"}, {difference, "lastBitSet", "lastBitSet", "empty"}, {difference, "lastBitSet", "firstBitUnset", "empty"}, {difference, "lastBitSet", "lastBitUnset", "lastBitSet"}, {difference, "lastBitSet", "innerBitsSet", "lastBitSet"}, {difference, "lastBitSet", "outerBitsSet", "empty"}, {difference, "lastBitSet", "oddBitsSet", "empty"}, {difference, "lastBitSet", "evenBitsSet", "lastBitSet"}, // {difference, "firstBitUnset", "empty", "firstBitUnset"}, {difference, "firstBitUnset", "full", "empty"}, {difference, "firstBitUnset", "firstBitSet", "firstBitUnset"}, {difference, "firstBitUnset", "lastBitSet", "innerBitsSet"}, {difference, "firstBitUnset", "firstBitUnset", "empty"}, {difference, "firstBitUnset", "lastBitUnset", "lastBitSet"}, {difference, "firstBitUnset", "innerBitsSet", "lastBitSet"}, {difference, "firstBitUnset", "outerBitsSet", "innerBitsSet"}, //{difference, "firstBitUnset", "oddBitsSet", ""}, {difference, "firstBitUnset", "evenBitsSet", "oddBitsSet"}, // {difference, "lastBitUnset", "empty", "lastBitUnset"}, {difference, "lastBitUnset", "full", "empty"}, {difference, "lastBitUnset", "firstBitSet", "innerBitsSet"}, {difference, "lastBitUnset", "lastBitSet", "lastBitUnset"}, {difference, "lastBitUnset", "firstBitUnset", "firstBitSet"}, {difference, "lastBitUnset", "lastBitUnset", "empty"}, {difference, "lastBitUnset", "innerBitsSet", "firstBitSet"}, {difference, "lastBitUnset", "outerBitsSet", "innerBitsSet"}, {difference, "lastBitUnset", "oddBitsSet", "evenBitsSet"}, //{difference, "lastBitUnset", "evenBitsSet", ""}, // {difference, "innerBitsSet", "empty", "innerBitsSet"}, {difference, "innerBitsSet", "full", "empty"}, {difference, "innerBitsSet", "firstBitSet", "innerBitsSet"}, {difference, "innerBitsSet", "lastBitSet", "innerBitsSet"}, {difference, "innerBitsSet", "firstBitUnset", "empty"}, {difference, "innerBitsSet", "lastBitUnset", "empty"}, {difference, "innerBitsSet", "innerBitsSet", "empty"}, {difference, "innerBitsSet", "outerBitsSet", "innerBitsSet"}, //{difference, "innerBitsSet", "oddBitsSet", ""}, //{difference, "innerBitsSet", "evenBitsSet", ""}, // {difference, "outerBitsSet", "empty", "outerBitsSet"}, {difference, "outerBitsSet", "full", "empty"}, {difference, "outerBitsSet", "firstBitSet", "lastBitSet"}, {difference, "outerBitsSet", "lastBitSet", "firstBitSet"}, {difference, "outerBitsSet", "firstBitUnset", "firstBitSet"}, {difference, "outerBitsSet", "lastBitUnset", "lastBitSet"}, {difference, "outerBitsSet", "innerBitsSet", "outerBitsSet"}, {difference, "outerBitsSet", "outerBitsSet", "empty"}, {difference, "outerBitsSet", "oddBitsSet", "firstBitSet"}, {difference, "outerBitsSet", "evenBitsSet", "lastBitSet"}, // {difference, "oddBitsSet", "empty", "oddBitsSet"}, {difference, "oddBitsSet", "full", "empty"}, {difference, "oddBitsSet", "firstBitSet", "oddBitsSet"}, //{difference, "oddBitsSet", "lastBitSet", ""}, {difference, "oddBitsSet", "firstBitUnset", "empty"}, {difference, "oddBitsSet", "lastBitUnset", "lastBitSet"}, {difference, "oddBitsSet", "innerBitsSet", "lastBitSet"}, //{difference, "oddBitsSet", "outerBitsSet", ""}, {difference, "oddBitsSet", "oddBitsSet", "empty"}, {difference, "oddBitsSet", "evenBitsSet", "oddBitsSet"}, // {difference, "evenBitsSet", "empty", "evenBitsSet"}, {difference, "evenBitsSet", "full", "empty"}, //{difference, "evenBitsSet", "firstBitSet", ""}, {difference, "evenBitsSet", "lastBitSet", "evenBitsSet"}, {difference, "evenBitsSet", "firstBitUnset", "firstBitSet"}, {difference, "evenBitsSet", "lastBitUnset", "empty"}, {difference, "evenBitsSet", "innerBitsSet", "firstBitSet"}, //{difference, "evenBitsSet", "outerBitsSet", ""}, {difference, "evenBitsSet", "oddBitsSet", "evenBitsSet"}, {difference, "evenBitsSet", "evenBitsSet", "empty"}, // xor {xor, "empty", "empty", "empty"}, {xor, "empty", "full", "full"}, {xor, "empty", "firstBitSet", "firstBitSet"}, {xor, "empty", "lastBitSet", "lastBitSet"}, {xor, "empty", "firstBitUnset", "firstBitUnset"}, {xor, "empty", "lastBitUnset", "lastBitUnset"}, {xor, "empty", "innerBitsSet", "innerBitsSet"}, {xor, "empty", "outerBitsSet", "outerBitsSet"}, {xor, "empty", "oddBitsSet", "oddBitsSet"}, {xor, "empty", "evenBitsSet", "evenBitsSet"}, // {xor, "full", "empty", "full"}, {xor, "full", "full", "empty"}, {xor, "full", "firstBitSet", "firstBitUnset"}, {xor, "full", "lastBitSet", "lastBitUnset"}, {xor, "full", "firstBitUnset", "firstBitSet"}, {xor, "full", "lastBitUnset", "lastBitSet"}, {xor, "full", "innerBitsSet", "outerBitsSet"}, {xor, "full", "outerBitsSet", "innerBitsSet"}, {xor, "full", "oddBitsSet", "evenBitsSet"}, {xor, "full", "evenBitsSet", "oddBitsSet"}, // {xor, "firstBitSet", "empty", "firstBitSet"}, {xor, "firstBitSet", "full", "firstBitUnset"}, {xor, "firstBitSet", "firstBitSet", "empty"}, {xor, "firstBitSet", "lastBitSet", "outerBitsSet"}, {xor, "firstBitSet", "firstBitUnset", "full"}, {xor, "firstBitSet", "lastBitUnset", "innerBitsSet"}, {xor, "firstBitSet", "innerBitsSet", "lastBitUnset"}, {xor, "firstBitSet", "outerBitsSet", "lastBitSet"}, //{xor, "firstBitSet", "oddBitsSet", ""}, //{xor, "firstBitSet", "evenBitsSet", ""}, // {xor, "lastBitSet", "empty", "lastBitSet"}, {xor, "lastBitSet", "full", "lastBitUnset"}, {xor, "lastBitSet", "firstBitSet", "outerBitsSet"}, {xor, "lastBitSet", "lastBitSet", "empty"}, {xor, "lastBitSet", "firstBitUnset", "innerBitsSet"}, {xor, "lastBitSet", "lastBitUnset", "full"}, {xor, "lastBitSet", "innerBitsSet", "firstBitUnset"}, {xor, "lastBitSet", "outerBitsSet", "firstBitSet"}, //{xor, "lastBitSet", "oddBitsSet", ""}, //{xor, "lastBitSet", "evenBitsSet", ""}, // {xor, "firstBitUnset", "empty", "firstBitUnset"}, {xor, "firstBitUnset", "full", "firstBitSet"}, {xor, "firstBitUnset", "firstBitSet", "full"}, {xor, "firstBitUnset", "lastBitSet", "innerBitsSet"}, {xor, "firstBitUnset", "firstBitUnset", "empty"}, {xor, "firstBitUnset", "lastBitUnset", "outerBitsSet"}, {xor, "firstBitUnset", "innerBitsSet", "lastBitSet"}, {xor, "firstBitUnset", "outerBitsSet", "lastBitUnset"}, //{xor, "firstBitUnset", "oddBitsSet", ""}, //{xor, "firstBitUnset", "evenBitsSet", ""}, // {xor, "lastBitUnset", "empty", "lastBitUnset"}, {xor, "lastBitUnset", "full", "lastBitSet"}, {xor, "lastBitUnset", "firstBitSet", "innerBitsSet"}, {xor, "lastBitUnset", "lastBitSet", "full"}, {xor, "lastBitUnset", "firstBitUnset", "outerBitsSet"}, {xor, "lastBitUnset", "lastBitUnset", "empty"}, {xor, "lastBitUnset", "innerBitsSet", "firstBitSet"}, {xor, "lastBitUnset", "outerBitsSet", "firstBitUnset"}, //{xor, "lastBitUnset", "oddBitsSet", ""}, //{xor, "lastBitUnset", "evenBitsSet", ""}, // {xor, "innerBitsSet", "empty", "innerBitsSet"}, {xor, "innerBitsSet", "full", "outerBitsSet"}, {xor, "innerBitsSet", "firstBitSet", "lastBitUnset"}, {xor, "innerBitsSet", "lastBitSet", "firstBitUnset"}, {xor, "innerBitsSet", "firstBitUnset", "lastBitSet"}, {xor, "innerBitsSet", "lastBitUnset", "firstBitSet"}, {xor, "innerBitsSet", "innerBitsSet", "empty"}, {xor, "innerBitsSet", "outerBitsSet", "full"}, //{xor, "innerBitsSet", "oddBitsSet", ""}, //{xor, "innerBitsSet", "evenBitsSet", ""}, // {xor, "outerBitsSet", "empty", "outerBitsSet"}, {xor, "outerBitsSet", "full", "innerBitsSet"}, {xor, "outerBitsSet", "firstBitSet", "lastBitSet"}, {xor, "outerBitsSet", "lastBitSet", "firstBitSet"}, {xor, "outerBitsSet", "firstBitUnset", "lastBitUnset"}, {xor, "outerBitsSet", "lastBitUnset", "firstBitUnset"}, {xor, "outerBitsSet", "innerBitsSet", "full"}, {xor, "outerBitsSet", "outerBitsSet", "empty"}, //{xor, "outerBitsSet", "oddBitsSet", ""}, //{xor, "outerBitsSet", "evenBitsSet", ""}, // {xor, "oddBitsSet", "empty", "oddBitsSet"}, {xor, "oddBitsSet", "full", "evenBitsSet"}, //{xor, "oddBitsSet", "firstBitSet", ""}, //{xor, "oddBitsSet", "lastBitSet", ""}, //{xor, "oddBitsSet", "firstBitUnset", ""}, //{xor, "oddBitsSet", "lastBitUnset", ""}, //{xor, "oddBitsSet", "innerBitsSet", ""}, //{xor, "oddBitsSet", "outerBitsSet", ""}, {xor, "oddBitsSet", "oddBitsSet", "empty"}, {xor, "oddBitsSet", "evenBitsSet", "full"}, // {xor, "evenBitsSet", "empty", "evenBitsSet"}, {xor, "evenBitsSet", "full", "oddBitsSet"}, //{xor, "evenBitsSet", "firstBitSet", ""}, //{xor, "evenBitsSet", "lastBitSet", ""}, //{xor, "evenBitsSet", "firstBitUnset", ""}, //{xor, "evenBitsSet", "lastBitUnset", ""}, //{xor, "evenBitsSet", "innerBitsSet", ""}, //{xor, "evenBitsSet", "outerBitsSet", ""}, {xor, "evenBitsSet", "oddBitsSet", "full"}, {xor, "evenBitsSet", "evenBitsSet", "empty"}, // flip {flip, "empty", "", "full"}, {flip, "full", "", "empty"}, {flip, "firstBitSet", "", "firstBitUnset"}, {flip, "lastBitSet", "", "lastBitUnset"}, {flip, "firstBitUnset", "", "firstBitSet"}, {flip, "lastBitUnset", "", "lastBitSet"}, {flip, "innerBitsSet", "", "outerBitsSet"}, {flip, "outerBitsSet", "", "innerBitsSet"}, {flip, "oddBitsSet", "", "evenBitsSet"}, {flip, "evenBitsSet", "", "oddBitsSet"}, } for _, testOp := range testOps { for _, x := range containerTypes { for _, y := range containerTypes { desc := fmt.Sprintf("%s(%s/%s, %s/%s)", getFunctionName(testOp.f), containerTypeNames[x], testOp.x, containerTypeNames[y], testOp.y) ret := runContainerFunc(testOp.f, cts[x][testOp.x], cts[y][testOp.y]) exp := testOp.exp // Convert to all container types and check result. for _, ct := range containerTypes { clone := ret.Clone() if ct == containerArray { if clone == nil { clone = NewContainerArray(nil) } else if clone.isBitmap() { clone = clone.bitmapToArray() } else if clone.isRun() { clone = clone.runToArray() } if clone.N() != cts[ct][exp].N() { t.Errorf("test %s expected array n=%d, but got n=%d", desc, cts[ct][exp].N(), clone.N()) } // Because xorRunRun resulting in an empty container returns an array container with a // nil slice array, then we need to check len() on array first (look for 0). if !(len(clone.array()) == 0 && len(cts[ct][exp].array()) == 0) && !reflect.DeepEqual(clone.array(), cts[ct][exp].array()) { t.Errorf("test %s expected array %X, but got %X", desc, cts[ct][exp].array(), clone.array()) } } else if ct == containerBitmap { if clone == nil { clone = NewContainerBitmap(0, nil) } else if clone.isArray() { clone = clone.arrayToBitmap() } else if clone.isRun() { clone = clone.runToBitmap() } if clone.N() != cts[ct][exp].N() { t.Errorf("test %s expected bitmap n=%d, but got n=%d", desc, cts[ct][exp].N(), clone.N()) } if !reflect.DeepEqual(clone.bitmap(), cts[ct][exp].bitmap()) { t.Errorf("test %s expected bitmap %X, but got %X", desc, cts[ct][exp].bitmap(), clone.bitmap()) } } else if ct == containerRun { if clone == nil { clone = NewContainerRun(nil) } else if clone.isArray() { clone = clone.arrayToRun(0) } else if clone.isBitmap() { clone = clone.bitmapToRun(0) } if clone.N() != cts[ct][exp].N() { t.Errorf("test %s expected runs n=%d, but got n=%d", desc, cts[ct][exp].N(), clone.N()) } if !reflect.DeepEqual(clone.runs(), cts[ct][exp].runs()) { t.Errorf("test %s expected runs %X, but got %X", desc, cts[ct][exp].runs(), clone.runs()) } } } } } } } //func getFunc(func(a, b *container) *container, m, n *container) *container { func runContainerFunc(f interface{}, c ...*Container) *Container { switch f := f.(type) { case func(*Container) *Container: return f(c[0]) case func(*Container, *Container) *Container: return f(c[0], c[1]) } return nil } func TestUnmarshalRoaringWithNoErrors(t *testing.T) { testCases := []struct { roaringData string roaringFileName string count uint64 expectedBits string }{ { // generated serialize image from java(clojure) with arrays roaringData: "3A300000020000000000020001000000180000001E0000000100020003000100", count: 4, expectedBits: "[1 2 3 65537]", }, { // generated serialize image from java(clojure) with a run and array roaringData: "3B3001000100000900010000000100010009000100", count: 11, expectedBits: "[1 2 3 4 5 6 7 8 9 10 65537]", }, { // had to use an external file because emacs was barfing on the long line :() roaringFileName: "testdata/bitmapcontainer.roaringbitmap", count: 10000, expectedBits: "X", }, } var testContainer []byte var err error for _, testCase := range testCases { if testCase.roaringFileName == "" { testContainer, err = hex.DecodeString(testCase.roaringData) if err != nil { t.Fatalf("hex decode %s", err) } } else { testContainer, _ = ioutil.ReadFile(testCase.roaringFileName) } bm := NewBitmap() err = bm.UnmarshalBinary(testContainer) if err != nil { t.Fatalf("UnmarshalOfficialRoaring %s", err) } if bm.Count() != testCase.count { t.Fatalf("expecting %s got %d", testCase.expectedBits, bm.Count()) } } } func TestUnmarshalRoaringWithErrors(t *testing.T) { //testing bitmaps with no containers noContainers := []struct { hexString string expectedError string }{ { // Runs a bitmap without runs and no containers through the official roaring hexString: "3A30000000000000", expectedError: "header: malformed bitmap, key-cardinality slice overruns buffer at 8", }, { // Runs a bitmap with runs and no containers through the official roaring hexString: "3B30000000000000", expectedError: "header: malformed bitmap, key-cardinality slice overruns buffer at 9", }, { // Runs a bitmap in the Pilosa format through the Pilosa roaring hexString: "3C30000000000000", }, } for _, loopContainers := range noContainers { zeroContainers, err := hex.DecodeString(loopContainers.hexString) if err != nil { t.Fatalf("hex decode %s", err) } bm := NewBitmap() err = bm.UnmarshalBinary(zeroContainers) if err != nil { if !strings.Contains(err.Error(), loopContainers.expectedError) { t.Fatalf("Expected: %s, Got: %s", loopContainers.expectedError, err) } } } } func BenchmarkUnionBitmapBitmapInPlace(b *testing.B) { b1 := newTestBitmapContainer() b2 := newTestBitmapContainer() for n := 0; n < b.N; n++ { unionBitmapBitmapInPlace(b1, b2) } } func BenchmarkBitmapRepair(b *testing.B) { b1 := newTestBitmapContainer() for n := 0; n < b.N; n++ { b1.bitmapRepair() } } func newTestBitmapContainer() *Container { return NewContainerBitmap(0, nil) } func TestShiftArray(t *testing.T) { tests := []struct { array []uint16 exp []uint16 }{ { array: []uint16{1}, exp: []uint16{2}, }, { array: []uint16{}, exp: []uint16{}, }, { array: []uint16{1, 2, 3, 4, 5, 11, 12}, exp: []uint16{2, 3, 4, 5, 6, 12, 13}, }, { array: []uint16{65535}, exp: []uint16{}, }, } for i, test := range tests { a := NewContainerArray(test.array) ret1, _ := shift(a) // test generic shift function ret2, _ := shiftArray(a) // test array-specific shift function // accept nil *Container as valid substitute for empty array if ret1 == nil { ret1 = NewContainerArray(nil) } if ret2 == nil { ret2 = NewContainerArray(nil) } if !reflect.DeepEqual(ret1.array(), test.exp) { t.Fatalf("test #%v shift() expected %v, but got %v", i, test.exp, ret1.array()) } else if !reflect.DeepEqual(ret2.array(), test.exp) { t.Fatalf("test #%v shiftArray() expected %v, but got %v", i, test.exp, ret2.array()) } } } func TestShiftBitmap(t *testing.T) { // note, bitmaps are provided for us by the ensuing tests tests := []struct { bitmap []uint64 exp []uint64 }{ { bitmap: bitmapFirstBitSet(), exp: bitmapSecondBitSet(), }, { bitmap: bitmapLastBitSet(), exp: bitmapEmpty(), }, { bitmap: bitmapLastBitFirstRowSet(), exp: bitmapFirstBitSecoundRowSet(), }, } for i, test := range tests { a := NewContainerBitmap(-1, test.bitmap) ret1, _ := shift(a) // test generic shift function ret2, _ := shiftBitmap(a) // test bitmap-specific shift function e := NewContainerBitmap(-1, test.exp) if !reflect.DeepEqual(ret1.bitmap(), e.bitmap()) { t.Fatalf("test #%v shift() expected %v, but got %v", i, e.bitmap(), ret1.bitmap()) } else if !reflect.DeepEqual(ret2.bitmap(), test.exp) { t.Fatalf("test #%v shiftBitmap() expected %v, but got %v", i, e.bitmap(), ret2.bitmap()) } } } func TestShiftRun(t *testing.T) { tests := []struct { runs []interval16 n int32 en int32 exp []interval16 carry bool }{ { runs: []interval16{{start: 5, last: 10}}, n: 5, en: 5, exp: []interval16{{start: 6, last: 11}}, carry: false, }, { runs: []interval16{{start: 5, last: 65535}}, n: 65530, en: 65529, exp: []interval16{{start: 6, last: 65535}}, carry: true, }, { runs: []interval16{{start: 65535, last: 65535}}, n: 1, en: 0, exp: []interval16{}, carry: true, }, } for i, test := range tests { a := NewContainerRun(test.runs) ret1, c1 := shift(a) // test generic shift function ret2, c2 := shiftRun(a) // test run-specific shift function if !reflect.DeepEqual(ret1.runs(), test.exp) && c1 == test.carry && ret1.N() == test.en { t.Fatalf("test #%v shift() expected %v, but got %v %d", i, test.exp, ret1.runs(), ret1.N()) } else if !reflect.DeepEqual(ret2.runs(), test.exp) && c2 == test.carry && ret2.N() == test.en { t.Fatalf("test #%v shiftRun() expected %v, but got %v %d", i, test.exp, ret2.runs(), ret2.N()) } } } func TestOpLogWriteUnmarshal(t *testing.T) { tests := []*op{ { typ: opTypeAdd, value: 27, }, { typ: opTypeRemove, value: 28, }, { typ: opTypeAddBatch, values: []uint64{1, 2, 6, 19}, }, { typ: opTypeRemoveBatch, values: []uint64{1, 2, 6, 19, 22, 44}, }, { typ: opTypeAddBatch, values: []uint64{51234567890}, }, { typ: opTypeRemoveBatch, values: []uint64{51234567890}, }, { typ: opTypeAdd, value: 0, }, { typ: opTypeRemove, value: 0, }, { typ: opTypeAddBatch, values: []uint64{0}, }, { typ: opTypeRemoveBatch, values: []uint64{0}, }, { typ: opTypeAddBatch, values: []uint64{}, }, { typ: opTypeRemoveBatch, values: []uint64{}, }, } // test each one separately for i, test := range tests { t.Run(fmt.Sprintf("%d", i), func(t *testing.T) { buf := &bytes.Buffer{} if _, err := test.WriteTo(buf); err != nil { t.Errorf("writing op %v to buffer: %v", test, err) } op := &op{} if err := op.UnmarshalBinary(buf.Bytes()); err != nil { t.Fatalf("unmarshling op: %v", err) } if err := compareOps(test, op); err != nil { t.Errorf("mismatch: %v", err) } }) } // now write them all to the same buffer and unmarshal one by one t.Run("writeAllOps", func(t *testing.T) { buf := &bytes.Buffer{} for _, test := range tests { _, err := test.WriteTo(buf) if err != nil { t.Fatalf("writing op to buffer: %v", err) } } data := buf.Bytes() offset := 0 for i, test := range tests { op := &op{} if err := op.UnmarshalBinary(data[offset:]); err != nil { t.Fatalf("unmarshling op: %v", err) } if err := compareOps(test, op); err != nil { t.Errorf("mismatch at %d: %v", i, err) } offset += op.size() } }) } func compareOps(op1, op2 *op) error { if op1.typ != op2.typ || op1.value != op2.value || len(op1.values) != len(op2.values) { return errors.Errorf("mismatched type, value, or length: %v, %v", op1, op2) } for i := 0; i < len(op1.values); i++ { if op1.values[i] != op2.values[i] { return errors.Errorf("mismatched values at %d: %d and %d", i, op1.values[i], op2.values[i]) } } return nil } func TestDirectAddN(t *testing.T) { tests := []struct { call1 []uint64 expn1 int call2 []uint64 expn2 int exp []uint64 expcall2n []uint64 }{ { call1: []uint64{0}, expn1: 1, call2: []uint64{0, 1}, expn2: 1, exp: []uint64{0, 1}, expcall2n: []uint64{1}, }, { call1: []uint64{0, 22, 55}, expn1: 3, call2: []uint64{0, 14, 22, 99, 55}, expn2: 2, exp: []uint64{0, 14, 22, 55, 99}, expcall2n: []uint64{14, 99}, }, } for i, test := range tests { t.Run(fmt.Sprintf("%d", i), func(t *testing.T) { b := NewBitmap() n1 := b.DirectAddN(test.call1...) if n1 != test.expn1 { t.Errorf("mismatched n1 exp:%d got:%d", test.expn1, n1) } n2 := b.DirectAddN(test.call2...) if n2 != test.expn2 { t.Errorf("mismatched n2 exp:%d got:%d", test.expn2, n2) } if !reflect.DeepEqual(test.exp, b.Slice()) { t.Errorf("misatched results \n%v\n%v", test.exp, b.Slice()) } if !reflect.DeepEqual(test.expcall2n, test.call2[:n2]) { t.Errorf("unexpected arg change \n%v\n%v", test.expcall2n, test.call2[:n2]) } }) } } func TestDirectAddNVsAdd(t *testing.T) { tests := [][]uint64{ {}, {0}, {0, 1, 2, 3}, {0, 1, 2, 101000, 9384932}, {9384932, 101000, 2, 1, 0}, {3489, 19230, 394, 0, 893982, 890283, 14, 7}, } // TODO generate more tests and fuzz testsCopy := make([][]uint64, len(tests)) copy(testsCopy, tests) for i, test := range testsCopy { t.Run(fmt.Sprintf("Fresh%d", i), func(t *testing.T) { ba := NewBitmap() bd := NewBitmap() na, err := ba.Add(test...) if err != nil { t.Fatalf("adding bits: %v", err) } nd := bd.DirectAddN(test...) if na != (nd > 0) { t.Errorf("differing changed numbers %v, %d", na, nd) } if ba.Count() != bd.Count() { t.Errorf("different counts") } if !reflect.DeepEqual(ba.Slice(), bd.Slice()) { t.Errorf("unequal values\n%v\n%v", ba.Slice(), bd.Slice()) } }) } ba := NewBitmap() bd := NewBitmap() for i, test := range tests { t.Run(fmt.Sprintf("ContinuousAdd%d", i), func(t *testing.T) { na, err := ba.Add(test...) if err != nil { t.Fatalf("adding bits: %v", err) } nd := bd.DirectAddN(test...) if na != (nd > 0) { t.Errorf("differing changed numbers %v, %d", na, nd) } if ba.Count() != bd.Count() { t.Errorf("different counts") } if !reflect.DeepEqual(ba.Slice(), bd.Slice()) { t.Errorf("unequal values\n%v\n%v", ba.Slice(), bd.Slice()) } }) } } func BenchmarkUnionInPlaceRegression(b *testing.B) { initial := make([]uint64, 0, 10100) a1 := make([]uint64, 0, 10000) a2 := make([]uint64, 0, 10000) for i := uint64(0); i < 1<<30; i += 100000 { initial = append(initial, i) a1 = append(a1, i+67000) a2 = append(a2, i/2) } a1BM := NewBTreeBitmap(a1...) a2BM := NewBTreeBitmap(a2...) b.Run("Union1", func(b *testing.B) { b.ReportAllocs() for i := 0; i < b.N; i++ { bm := NewBTreeBitmap(initial...) _ = bm.Union(a1BM) } }) b.Run("UnionInPlace1", func(b *testing.B) { b.ReportAllocs() for i := 0; i < b.N; i++ { bm := NewBTreeBitmap(initial...) bm.UnionInPlace(a1BM) } }) b.Run("Union2", func(b *testing.B) { b.ReportAllocs() for i := 0; i < b.N; i++ { bm := NewBTreeBitmap(initial...) _ = bm.Union(a1BM, a2BM) } }) b.Run("UnionInPlace2", func(b *testing.B) { b.ReportAllocs() for i := 0; i < b.N; i++ { bm := NewBTreeBitmap(initial...) bm.UnionInPlace(a1BM, a2BM) } }) } 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 TestBitmapAny(t *testing.T) { bm := NewBTreeBitmap() if bm.Any() { t.Error("empty bitmap should have Any()==false") } _, err := bm.Add(1) if err != nil { t.Errorf("couldn't add a bit: %v", err) } if !bm.Any() { t.Error("bitmap with 1 bit should have Any()==true") } _, err = bm.Add(100000) if err != nil { t.Errorf("couldn't add a bit: %v", err) } if !bm.Any() { t.Error("bitmap with 2 bits should have Any()==true") } changed, err := bm.Remove(1) if err != nil { t.Errorf("couldn't remove a bit: %v", err) } if changed != true { t.Error("removing a set bit should have been a change") } if !bm.Any() { t.Error("bitmap with 1 bit left after removing 1 should have Any()==true") } _, err = bm.Add(1) if err != nil { t.Errorf("couldn't remove a bit: %v", err) } if changed != true { t.Error("re-addintg a previously set bit should have been a change") } bm = bm.Difference(NewBTreeBitmap(1)) if !bm.Any() { t.Error("bitmap with 1 bit left after differencing 1 should have Any()==true") } _, err = bm.Remove(100000) if err != nil { t.Errorf("couldn't remove a bit: %v", err) } if bm.Any() { t.Error("shouldn't be any left") } }