// Copyright (C) 2022 Luke Shumaker // // SPDX-License-Identifier: GPL-2.0-or-later package containers import ( "fmt" "io" "sort" "strings" "testing" "github.com/stretchr/testify/require" "golang.org/x/exp/constraints" ) func (t *RBTree[K, V]) ASCIIArt() string { var out strings.Builder t.root.asciiArt(&out, "", "", "") return out.String() } func (node *RBNode[V]) String() string { switch { case node == nil: return "nil" case node.Color == Red: return fmt.Sprintf("R(%v)", node.Value) default: return fmt.Sprintf("B(%v)", node.Value) } } func (node *RBNode[V]) asciiArt(w io.Writer, u, m, l string) { if node == nil { fmt.Fprintf(w, "%snil\n", m) return } node.Right.asciiArt(w, u+" ", u+" ,--", u+" | ") if node.Color == Red { fmt.Fprintf(w, "%s%v\n", m, node) } else { fmt.Fprintf(w, "%s%v\n", m, node) } node.Left.asciiArt(w, l+" | ", l+" `--", l+" ") } func checkRBTree[K constraints.Ordered, V any](t *testing.T, expectedSet Set[K], tree *RBTree[NativeOrdered[K], V]) { // 1. Every node is either red or black // 2. The root is black. require.Equal(t, Black, tree.root.getColor()) // 3. Every nil is black. // 4. If a node is red, then both its children are black. require.NoError(t, tree.Walk(func(node *RBNode[V]) error { if node.getColor() == Red { require.Equal(t, Black, node.Left.getColor()) require.Equal(t, Black, node.Right.getColor()) } return nil })) // 5. For each node, all simple paths from the node to // descendent leaves contain the same number of black // nodes. var walkCnt func(node *RBNode[V], cnt int, leafFn func(int)) walkCnt = func(node *RBNode[V], cnt int, leafFn func(int)) { if node.getColor() == Black { cnt++ } if node == nil { leafFn(cnt) return } walkCnt(node.Left, cnt, leafFn) walkCnt(node.Right, cnt, leafFn) } require.NoError(t, tree.Walk(func(node *RBNode[V]) error { var cnts []int walkCnt(node, 0, func(cnt int) { cnts = append(cnts, cnt) }) for i := range cnts { if cnts[0] != cnts[i] { require.Truef(t, false, "node %v: not all leafs have same black-count: %v", node.Value, cnts) break } } return nil })) // expected contents expectedOrder := make([]K, 0, len(expectedSet)) for k := range expectedSet { expectedOrder = append(expectedOrder, k) node := tree.Lookup(NativeOrdered[K]{Val: k}) require.NotNil(t, tree, node) require.Equal(t, k, tree.KeyFn(node.Value).Val) } sort.Slice(expectedOrder, func(i, j int) bool { return expectedOrder[i] < expectedOrder[j] }) actOrder := make([]K, 0, len(expectedSet)) require.NoError(t, tree.Walk(func(node *RBNode[V]) error { actOrder = append(actOrder, tree.KeyFn(node.Value).Val) return nil })) require.Equal(t, expectedOrder, actOrder) require.Equal(t, tree.Len(), len(expectedSet)) } func FuzzRBTree(f *testing.F) { Ins := uint8(0b0100_0000) Del := uint8(0) f.Add([]uint8{}) f.Add([]uint8{Ins | 5, Del | 5}) f.Add([]uint8{Ins | 5, Del | 6}) f.Add([]uint8{Del | 6}) f.Add([]uint8{ // CLRS Figure 14.4 Ins | 1, Ins | 2, Ins | 5, Ins | 7, Ins | 8, Ins | 11, Ins | 14, Ins | 15, Ins | 4, }) f.Fuzz(func(t *testing.T, dat []uint8) { tree := &RBTree[NativeOrdered[uint8], uint8]{ KeyFn: func(x uint8) NativeOrdered[uint8] { return NativeOrdered[uint8]{Val: x} }, } set := make(Set[uint8]) checkRBTree(t, set, tree) t.Logf("\n%s\n", tree.ASCIIArt()) for _, b := range dat { ins := (b & 0b0100_0000) != 0 val := (b & 0b0011_1111) if ins { t.Logf("Insert(%v)", val) tree.Insert(val) set.Insert(val) t.Logf("\n%s\n", tree.ASCIIArt()) node := tree.Lookup(NativeOrdered[uint8]{Val: val}) require.NotNil(t, node) require.Equal(t, val, node.Value) } else { t.Logf("Delete(%v)", val) tree.Delete(NativeOrdered[uint8]{Val: val}) delete(set, val) t.Logf("\n%s\n", tree.ASCIIArt()) require.Nil(t, tree.Lookup(NativeOrdered[uint8]{Val: val})) } checkRBTree(t, set, tree) } }) }