// Copyright 2014 Google Inc. // // 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 btree import ( "flag" "fmt" "math/rand" "reflect" "sort" "strings" "sync" "testing" "time" ) func init() { seed := time.Now().Unix() fmt.Println(seed) rand.Seed(seed) } // perm returns a random permutation of n Int items in the range [0, n). func perm(n int) (out []Item) { for _, v := range rand.Perm(n) { out = append(out, Int(v)) } return } // rang returns an ordered list of Int items in the range [0, n). func rang(n int) (out []Item) { for i := 0; i < n; i++ { out = append(out, Int(i)) } return } // all extracts all items from a tree in order as a slice. func all(t *BTree) (out []Item) { t.Ascend(func(a Item) bool { out = append(out, a) return true }) return } // rangerev returns a reversed ordered list of Int items in the range [0, n). func rangrev(n int) (out []Item) { for i := n - 1; i >= 0; i-- { out = append(out, Int(i)) } return } // allrev extracts all items from a tree in reverse order as a slice. func allrev(t *BTree) (out []Item) { t.Descend(func(a Item) bool { out = append(out, a) return true }) return } var btreeDegree = flag.Int("degree", 32, "B-Tree degree") func TestBTree(t *testing.T) { tr := New(*btreeDegree, nil) const treeSize = 10000 for i := 0; i < 10; i++ { if min := tr.Min(); min != nil { t.Fatalf("empty min, got %+v", min) } if max := tr.Max(); max != nil { t.Fatalf("empty max, got %+v", max) } for _, item := range perm(treeSize) { if x := tr.ReplaceOrInsert(item); x != nil { t.Fatal("insert found item", item) } } for _, item := range perm(treeSize) { if x := tr.ReplaceOrInsert(item); x == nil { t.Fatal("insert didn't find item", item) } } if min, want := tr.Min(), Item(Int(0)); min != want { t.Fatalf("min: want %+v, got %+v", want, min) } if max, want := tr.Max(), Item(Int(treeSize-1)); max != want { t.Fatalf("max: want %+v, got %+v", want, max) } got := all(tr) want := rang(treeSize) if !reflect.DeepEqual(got, want) { t.Fatalf("mismatch:\n got: %v\nwant: %v", got, want) } gotrev := allrev(tr) wantrev := rangrev(treeSize) if !reflect.DeepEqual(gotrev, wantrev) { t.Fatalf("mismatch:\n got: %v\nwant: %v", got, want) } for _, item := range perm(treeSize) { if x := tr.Delete(item); x == nil { t.Fatalf("didn't find %v", item) } } if got = all(tr); len(got) > 0 { t.Fatalf("some left!: %v", got) } } } func ExampleBTree() { tr := New(*btreeDegree, nil) for i := Int(0); i < 10; i++ { tr.ReplaceOrInsert(i) } fmt.Println("len: ", tr.Len()) fmt.Println("get3: ", tr.Get(Int(3))) fmt.Println("get100: ", tr.Get(Int(100))) fmt.Println("del4: ", tr.Delete(Int(4))) fmt.Println("del100: ", tr.Delete(Int(100))) fmt.Println("replace5: ", tr.ReplaceOrInsert(Int(5))) fmt.Println("replace100:", tr.ReplaceOrInsert(Int(100))) fmt.Println("min: ", tr.Min()) fmt.Println("delmin: ", tr.DeleteMin()) fmt.Println("max: ", tr.Max()) fmt.Println("delmax: ", tr.DeleteMax()) fmt.Println("len: ", tr.Len()) // Output: // len: 10 // get3: 3 // get100: // del4: 4 // del100: // replace5: 5 // replace100: // min: 0 // delmin: 0 // max: 100 // delmax: 100 // len: 8 } func TestDeleteMin(t *testing.T) { tr := New(3, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item for v := tr.DeleteMin(); v != nil; v = tr.DeleteMin() { got = append(got, v) } if want := rang(100); !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } } func TestDeleteMax(t *testing.T) { tr := New(3, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item for v := tr.DeleteMax(); v != nil; v = tr.DeleteMax() { got = append(got, v) } // Reverse our list. for i := 0; i < len(got)/2; i++ { got[i], got[len(got)-i-1] = got[len(got)-i-1], got[i] } if want := rang(100); !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } } func TestAscendRange(t *testing.T) { tr := New(2, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item tr.AscendRange(Int(40), Int(60), func(a Item) bool { got = append(got, a) return true }) if want := rang(100)[40:60]; !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } got = got[:0] tr.AscendRange(Int(40), Int(60), func(a Item) bool { if a.(Int) > 50 { return false } got = append(got, a) return true }) if want := rang(100)[40:51]; !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } } func TestDescendRange(t *testing.T) { tr := New(2, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item tr.DescendRange(Int(60), Int(40), func(a Item) bool { got = append(got, a) return true }) if want := rangrev(100)[39:59]; !reflect.DeepEqual(got, want) { t.Fatalf("descendrange:\n got: %v\nwant: %v", got, want) } got = got[:0] tr.DescendRange(Int(60), Int(40), func(a Item) bool { if a.(Int) < 50 { return false } got = append(got, a) return true }) if want := rangrev(100)[39:50]; !reflect.DeepEqual(got, want) { t.Fatalf("descendrange:\n got: %v\nwant: %v", got, want) } } func TestAscendLessThan(t *testing.T) { tr := New(*btreeDegree, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item tr.AscendLessThan(Int(60), func(a Item) bool { got = append(got, a) return true }) if want := rang(100)[:60]; !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } got = got[:0] tr.AscendLessThan(Int(60), func(a Item) bool { if a.(Int) > 50 { return false } got = append(got, a) return true }) if want := rang(100)[:51]; !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } } func TestDescendLessOrEqual(t *testing.T) { tr := New(*btreeDegree, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item tr.DescendLessOrEqual(Int(40), func(a Item) bool { got = append(got, a) return true }) if want := rangrev(100)[59:]; !reflect.DeepEqual(got, want) { t.Fatalf("descendlessorequal:\n got: %v\nwant: %v", got, want) } got = got[:0] tr.DescendLessOrEqual(Int(60), func(a Item) bool { if a.(Int) < 50 { return false } got = append(got, a) return true }) if want := rangrev(100)[39:50]; !reflect.DeepEqual(got, want) { t.Fatalf("descendlessorequal:\n got: %v\nwant: %v", got, want) } } func TestAscendGreaterOrEqual(t *testing.T) { tr := New(*btreeDegree, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item tr.AscendGreaterOrEqual(Int(40), func(a Item) bool { got = append(got, a) return true }) if want := rang(100)[40:]; !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } got = got[:0] tr.AscendGreaterOrEqual(Int(40), func(a Item) bool { if a.(Int) > 50 { return false } got = append(got, a) return true }) if want := rang(100)[40:51]; !reflect.DeepEqual(got, want) { t.Fatalf("ascendrange:\n got: %v\nwant: %v", got, want) } } func TestDescendGreaterThan(t *testing.T) { tr := New(*btreeDegree, nil) for _, v := range perm(100) { tr.ReplaceOrInsert(v) } var got []Item tr.DescendGreaterThan(Int(40), func(a Item) bool { got = append(got, a) return true }) if want := rangrev(100)[:59]; !reflect.DeepEqual(got, want) { t.Fatalf("descendgreaterthan:\n got: %v\nwant: %v", got, want) } got = got[:0] tr.DescendGreaterThan(Int(40), func(a Item) bool { if a.(Int) < 50 { return false } got = append(got, a) return true }) if want := rangrev(100)[:50]; !reflect.DeepEqual(got, want) { t.Fatalf("descendgreaterthan:\n got: %v\nwant: %v", got, want) } } const benchmarkTreeSize = 10000 func BenchmarkInsert(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) b.StartTimer() i := 0 for i < b.N { tr := New(*btreeDegree, nil) for _, item := range insertP { tr.ReplaceOrInsert(item) i++ if i >= b.N { return } } } } func BenchmarkDeleteInsert(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, item := range insertP { tr.ReplaceOrInsert(item) } b.StartTimer() for i := 0; i < b.N; i++ { tr.Delete(insertP[i%benchmarkTreeSize]) tr.ReplaceOrInsert(insertP[i%benchmarkTreeSize]) } } func BenchmarkDeleteInsertCloneOnce(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, item := range insertP { tr.ReplaceOrInsert(item) } tr = tr.Clone() b.StartTimer() for i := 0; i < b.N; i++ { tr.Delete(insertP[i%benchmarkTreeSize]) tr.ReplaceOrInsert(insertP[i%benchmarkTreeSize]) } } func BenchmarkDeleteInsertCloneEachTime(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, item := range insertP { tr.ReplaceOrInsert(item) } b.StartTimer() for i := 0; i < b.N; i++ { tr = tr.Clone() tr.Delete(insertP[i%benchmarkTreeSize]) tr.ReplaceOrInsert(insertP[i%benchmarkTreeSize]) } } func BenchmarkDelete(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) removeP := perm(benchmarkTreeSize) b.StartTimer() i := 0 for i < b.N { b.StopTimer() tr := New(*btreeDegree, nil) for _, v := range insertP { tr.ReplaceOrInsert(v) } b.StartTimer() for _, item := range removeP { tr.Delete(item) i++ if i >= b.N { return } } if tr.Len() > 0 { panic(tr.Len()) } } } func BenchmarkGet(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) removeP := perm(benchmarkTreeSize) b.StartTimer() i := 0 for i < b.N { b.StopTimer() tr := New(*btreeDegree, nil) for _, v := range insertP { tr.ReplaceOrInsert(v) } b.StartTimer() for _, item := range removeP { tr.Get(item) i++ if i >= b.N { return } } } } func BenchmarkGetCloneEachTime(b *testing.B) { b.StopTimer() insertP := perm(benchmarkTreeSize) removeP := perm(benchmarkTreeSize) b.StartTimer() i := 0 for i < b.N { b.StopTimer() tr := New(*btreeDegree, nil) for _, v := range insertP { tr.ReplaceOrInsert(v) } b.StartTimer() for _, item := range removeP { tr = tr.Clone() tr.Get(item) i++ if i >= b.N { return } } } } type byInts []Item func (a byInts) Len() int { return len(a) } func (a byInts) Less(i, j int) bool { return a[i].(Int) < a[j].(Int) } func (a byInts) Swap(i, j int) { a[i], a[j] = a[j], a[i] } func BenchmarkAscend(b *testing.B) { arr := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, v := range arr { tr.ReplaceOrInsert(v) } sort.Sort(byInts(arr)) b.ResetTimer() for i := 0; i < b.N; i++ { j := 0 tr.Ascend(func(item Item) bool { if item.(Int) != arr[j].(Int) { b.Fatalf("mismatch: expected: %v, got %v", arr[j].(Int), item.(Int)) } j++ return true }) } } func BenchmarkDescend(b *testing.B) { arr := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, v := range arr { tr.ReplaceOrInsert(v) } sort.Sort(byInts(arr)) b.ResetTimer() for i := 0; i < b.N; i++ { j := len(arr) - 1 tr.Descend(func(item Item) bool { if item.(Int) != arr[j].(Int) { b.Fatalf("mismatch: expected: %v, got %v", arr[j].(Int), item.(Int)) } j-- return true }) } } func BenchmarkAscendRange(b *testing.B) { arr := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, v := range arr { tr.ReplaceOrInsert(v) } sort.Sort(byInts(arr)) b.ResetTimer() for i := 0; i < b.N; i++ { j := 100 tr.AscendRange(Int(100), arr[len(arr)-100], func(item Item) bool { if item.(Int) != arr[j].(Int) { b.Fatalf("mismatch: expected: %v, got %v", arr[j].(Int), item.(Int)) } j++ return true }) if j != len(arr)-100 { b.Fatalf("expected: %v, got %v", len(arr)-100, j) } } } func BenchmarkDescendRange(b *testing.B) { arr := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, v := range arr { tr.ReplaceOrInsert(v) } sort.Sort(byInts(arr)) b.ResetTimer() for i := 0; i < b.N; i++ { j := len(arr) - 100 tr.DescendRange(arr[len(arr)-100], Int(100), func(item Item) bool { if item.(Int) != arr[j].(Int) { b.Fatalf("mismatch: expected: %v, got %v", arr[j].(Int), item.(Int)) } j-- return true }) if j != 100 { b.Fatalf("expected: %v, got %v", len(arr)-100, j) } } } func BenchmarkAscendGreaterOrEqual(b *testing.B) { arr := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, v := range arr { tr.ReplaceOrInsert(v) } sort.Sort(byInts(arr)) b.ResetTimer() for i := 0; i < b.N; i++ { j := 100 k := 0 tr.AscendGreaterOrEqual(Int(100), func(item Item) bool { if item.(Int) != arr[j].(Int) { b.Fatalf("mismatch: expected: %v, got %v", arr[j].(Int), item.(Int)) } j++ k++ return true }) if j != len(arr) { b.Fatalf("expected: %v, got %v", len(arr), j) } if k != len(arr)-100 { b.Fatalf("expected: %v, got %v", len(arr)-100, k) } } } func BenchmarkDescendLessOrEqual(b *testing.B) { arr := perm(benchmarkTreeSize) tr := New(*btreeDegree, nil) for _, v := range arr { tr.ReplaceOrInsert(v) } sort.Sort(byInts(arr)) b.ResetTimer() for i := 0; i < b.N; i++ { j := len(arr) - 100 k := len(arr) tr.DescendLessOrEqual(arr[len(arr)-100], func(item Item) bool { if item.(Int) != arr[j].(Int) { b.Fatalf("mismatch: expected: %v, got %v", arr[j].(Int), item.(Int)) } j-- k-- return true }) if j != -1 { b.Fatalf("expected: %v, got %v", -1, j) } if k != 99 { b.Fatalf("expected: %v, got %v", 99, k) } } } const cloneTestSize = 10000 func cloneTest(t *testing.T, b *BTree, start int, p []Item, wg *sync.WaitGroup, trees *[]*BTree) { t.Logf("Starting new clone at %v", start) *trees = append(*trees, b) for i := start; i < cloneTestSize; i++ { b.ReplaceOrInsert(p[i]) if i%(cloneTestSize/5) == 0 { wg.Add(1) go cloneTest(t, b.Clone(), i+1, p, wg, trees) } } wg.Done() } func TestCloneConcurrentOperations(t *testing.T) { b := New(*btreeDegree, nil) trees := []*BTree{} p := perm(cloneTestSize) var wg sync.WaitGroup wg.Add(1) go cloneTest(t, b, 0, p, &wg, &trees) wg.Wait() want := rang(cloneTestSize) t.Logf("Starting equality checks on %d trees", len(trees)) for i, tree := range trees { if !reflect.DeepEqual(want, all(tree)) { t.Errorf("tree %v mismatch", i) } } t.Log("Removing half from first half") toRemove := rang(cloneTestSize)[cloneTestSize/2:] for i := 0; i < len(trees)/2; i++ { tree := trees[i] wg.Add(1) go func() { for _, item := range toRemove { tree.Delete(item) } wg.Done() }() } wg.Wait() t.Log("Checking all values again") for i, tree := range trees { var wantpart []Item if i < len(trees)/2 { wantpart = want[:cloneTestSize/2] } else { wantpart = want } if got := all(tree); !reflect.DeepEqual(wantpart, got) { t.Errorf("tree %v mismatch, want %v got %v", i, len(want), len(got)) } } } func TestCursor(t *testing.T) { rand.Seed(time.Now().UnixNano()) tr := New(3, nil) for i := 0; i < 20; i += 2 { tr.ReplaceOrInsert(Int(i)) } var a []string c := tr.Cursor() for item := c.First(); item != nil; item = c.Next() { a = append(a, fmt.Sprintf("%v", item)) } x := strings.Join(a, ",") e := "0,2,4,6,8,10,12,14,16,18" if x != e { t.Fatal("expected '%v', got '%v'", e, x) } c = tr.Cursor() a = nil for item := c.Last(); item != nil; item = c.Prev() { a = append(a, fmt.Sprintf("%v", item)) } x = strings.Join(a, ",") e = "18,16,14,12,10,8,6,4,2,0" if x != e { t.Fatal("expected '%v', got '%v'", e, x) } for i := 0; i < 20; i++ { c = tr.Cursor() a = nil for item := c.Seek(Int(i)); item != nil; item = c.Next() { a = append(a, fmt.Sprintf("%v", item)) } var b []string for j := 0; j < 20; j += 2 { if j < i { continue } b = append(b, fmt.Sprintf("%v", Int(j))) } x = strings.Join(a, ",") y := strings.Join(b, ",") if x != y { t.Fatalf("expected '%v', '%v'", x, y) } } for x := 0; x < 1000; x++ { n := rand.Int() % 1000 tr := New(4, nil) for i := Int(0); i < Int(n); i++ { tr.ReplaceOrInsert(i) } //tr.root.print(os.Stdout, 1) var i int var tt int var c *Cursor // test forward cursor i = 0 tt = 0 c = tr.Cursor() for item := c.First(); item != nil; item = c.Next() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i++ tt++ } if tt != n { t.Fatalf("expected '%v', got '%v'", n, tt) } // test reverse cursor i = n - 1 tt = 0 c = tr.Cursor() for item := c.Last(); item != nil; item = c.Prev() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i-- tt++ } if tt != n { t.Fatalf("expected '%v', got '%v'", n, tt) } // test forward half way and reverse i = 0 c = tr.Cursor() for item := c.First(); item != nil; item = c.Next() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i++ if i > n/2 { item = c.Prev() i -= 2 for ; item != nil; item = c.Prev() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i-- } break } } // test reverse half way and forward i = n - 1 c = tr.Cursor() for item := c.Last(); item != nil; item = c.Prev() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i-- if i < n/2 { item = c.Next() i += 2 for ; item != nil; item = c.Next() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i++ } break } } // seek forward half way i = n / 2 c = tr.Cursor() for item := c.Seek(Int(i)); item != nil; item = c.Next() { if int(item.(Int)) != i { t.Fatalf("expected '%v', got '%v'", i, item) } i++ } } }