package pqueue import ( "github.com/davecgh/go-spew/spew" "github.com/474420502/focus/compare" ) type Node struct { children [2]*Node parent *Node size int value interface{} } func (n *Node) String() string { if n == nil { return "nil" } p := "nil" if n.parent != nil { p = spew.Sprint(n.parent.value) } return spew.Sprint(n.value) + "(" + p + "|" + spew.Sprint(n.size) + ")" } type vbTree struct { root *Node Compare compare.Compare top *Node iter *Iterator } func newVBT(Compare compare.Compare) *vbTree { return &vbTree{Compare: Compare, iter: NewIteratorWithCap(nil, 16)} } func (tree *vbTree) String() string { str := "AVLTree\n" if tree.root == nil { return str + "nil" } output(tree.root, "", true, &str) return str } func (tree *vbTree) Iterator() *Iterator { return initIterator(tree) } func (tree *vbTree) Size() int { if tree.root == nil { return 0 } return tree.root.size } func (tree *vbTree) indexNode(idx int) *Node { cur := tree.root if idx >= 0 { for cur != nil { rs := getSize(cur.children[1]) if idx == rs { return cur } else if idx < rs { cur = cur.children[1] } else { idx = idx - rs - 1 cur = cur.children[0] } } } else { idx = -idx - 1 for cur != nil { ls := getSize(cur.children[0]) if idx == ls { return cur } else if idx < ls { cur = cur.children[0] } else { idx = idx - ls - 1 cur = cur.children[1] } } } return nil } func (tree *vbTree) Index(idx int) (interface{}, bool) { n := tree.indexNode(idx) if n != nil { return n.value, true } return nil, false } func (tree *vbTree) IndexRange(idx1, idx2 int) (result []interface{}, ok bool) { // 0 -1 if idx1^idx2 < 0 { if idx1 < 0 { idx1 = tree.root.size + idx1 } else { idx2 = tree.root.size + idx2 } } if idx1 > idx2 { ok = true if idx1 >= tree.root.size { idx1 = tree.root.size - 1 ok = false } n := tree.indexNode(idx1) tree.iter.SetNode(n) iter := tree.iter result = make([]interface{}, 0, idx1-idx2) for i := idx2; i <= idx1; i++ { if iter.Prev() { result = append(result, iter.Value()) } else { ok = false return } } return } else { ok = true if idx2 >= tree.root.size { idx2 = tree.root.size - 1 ok = false } if n := tree.indexNode(idx1); n != nil { tree.iter.SetNode(n) iter := tree.iter result = make([]interface{}, 0, idx2-idx1) for i := idx1; i <= idx2; i++ { if iter.Next() { result = append(result, iter.Value()) } else { ok = false return } } return } } return nil, false } func (tree *vbTree) RemoveIndex(idx int) (interface{}, bool) { n := tree.indexNode(idx) if n != nil { tree.removeNode(n) return n.value, true } return nil, false } func (tree *vbTree) removeNode(n *Node) { if tree.root.size == 1 { tree.root = nil tree.top = nil // return n return } if tree.top == n { tree.top = tree.iter.GetNext(n, 1) } ls, rs := getChildrenSize(n) if ls == 0 && rs == 0 { p := n.parent p.children[getRelationship(n)] = nil tree.fixSizeWithRemove(p) // return n return } var cur *Node if ls > rs { cur = n.children[0] for cur.children[1] != nil { cur = cur.children[1] } cleft := cur.children[0] cur.parent.children[getRelationship(cur)] = cleft if cleft != nil { cleft.parent = cur.parent } } else { cur = n.children[1] for cur.children[0] != nil { cur = cur.children[0] } cright := cur.children[1] cur.parent.children[getRelationship(cur)] = cright if cright != nil { cright.parent = cur.parent } } cparent := cur.parent // 修改为interface 交换 // n.value, cur.value = cur.value, n.value tree.replace(n, cur) // 考虑到刚好替换的节点是 被替换节点的孩子节点的时候, 从自身修复高度 if cparent == n { tree.fixSizeWithRemove(cur) } else { tree.fixSizeWithRemove(cparent) } // return cur return } func (tree *vbTree) Remove(key interface{}) (interface{}, bool) { if n, ok := tree.GetNode(key); ok { tree.removeNode(n) return n.value, true } // return nil return nil, false } // Values 返回先序遍历的值 func (tree *vbTree) Values() []interface{} { mszie := 0 if tree.root != nil { mszie = tree.root.size } result := make([]interface{}, 0, mszie) tree.Traversal(func(v interface{}) bool { result = append(result, v) return true }, RDL) return result } func (tree *vbTree) GetRange(k1, k2 interface{}) (result []interface{}) { c := tree.Compare(k2, k1) switch c { case 1: var min, max *Node resultmin := tree.getArounNode(k1) resultmax := tree.getArounNode(k2) for i := 1; i < 3 && min == nil; i++ { min = resultmin[i] } for i := 1; i > -1 && max == nil; i-- { max = resultmax[i] } if max == nil { return []interface{}{} } result = make([]interface{}, 0, 8) // iter := NewIterator(min) tree.iter.SetNode(min) iter := tree.iter for iter.Prev() { result = append(result, iter.Value()) if iter.cur == max { break } } case -1: var min, max *Node resultmin := tree.getArounNode(k2) resultmax := tree.getArounNode(k1) for i := 1; i < 3 && min == nil; i++ { min = resultmin[i] } for i := 1; i > -1 && max == nil; i-- { max = resultmax[i] } if min == nil { return []interface{}{} } result = make([]interface{}, 0, 8) // iter := NewIterator(max) tree.iter.SetNode(max) iter := tree.iter for iter.Next() { result = append(result, iter.Value()) if iter.cur == min { break } } case 0: if n, ok := tree.GetNode(k1); ok { return []interface{}{n.value} } return []interface{}{} } return } func (tree *vbTree) Get(key interface{}) (interface{}, bool) { n, ok := tree.GetNode(key) if ok { return n.value, true } return n, false } // GetAround 改成Big To Small func (tree *vbTree) GetAround(key interface{}) (result [3]interface{}) { an := tree.getArounNode(key) for i, n := range an { if n != nil { result[2-i] = n.value } } return } func (tree *vbTree) getArounNode(key interface{}) (result [3]*Node) { var last *Node var lastc int for n := tree.root; n != nil; { last = n c := tree.Compare(key, n.value) switch c { case -1: n = n.children[0] lastc = c case 1: n = n.children[1] lastc = c case 0: tree.iter.SetNode(n) iter := tree.iter iter.Next() for iter.Next() { if tree.Compare(iter.cur.value, n.value) == 0 { n = iter.cur } else { break } } result[1] = n n = nil default: panic("Get Compare only is allowed in -1, 0, 1") } } switch lastc { case 1: if result[1] != nil { result[0] = tree.iter.GetNext(result[1], 1) result[2] = tree.iter.GetPrev(result[1], 1) } else { result[0] = last result[2] = tree.iter.GetPrev(last, 1) } case -1: if result[1] != nil { result[0] = tree.iter.GetNext(result[1], 1) result[2] = tree.iter.GetPrev(result[1], 1) } else { result[2] = last result[0] = tree.iter.GetNext(last, 1) } case 0: if result[1] == nil { return } result[0] = tree.iter.GetNext(result[1], 1) result[2] = tree.iter.GetPrev(result[1], 1) } return } func (tree *vbTree) GetNode(value interface{}) (*Node, bool) { for n := tree.root; n != nil; { switch c := tree.Compare(value, n.value); c { case -1: n = n.children[0] case 1: n = n.children[1] case 0: tree.iter.SetNode(n) iter := tree.iter iter.Next() for iter.Next() { if tree.Compare(iter.cur.value, n.value) == 0 { n = iter.cur } else { break } } return n, true default: panic("Get Compare only is allowed in -1, 0, 1") } } return nil, false } func (tree *vbTree) Put(key interface{}) { Node := &Node{value: key, size: 1} if tree.root == nil { tree.root = Node tree.top = Node return } if tree.Compare(key, tree.top.value) > 0 { tree.top = Node } for cur := tree.root; ; { if cur.size > 8 { factor := cur.size / 10 // or factor = 1 ls, rs := cur.children[0].size, cur.children[1].size if rs >= ls*2+factor || ls >= rs*2+factor { cur = tree.fixSize(cur, ls, rs) } } cur.size++ c := tree.Compare(key, cur.value) if c < 0 { if cur.children[0] == nil { cur.children[0] = Node Node.parent = cur if cur.parent != nil && cur.parent.size == 3 { if cur.parent.children[0] == nil { tree.lrrotate3(cur.parent) } else { tree.rrotate3(cur.parent) } } return } cur = cur.children[0] } else { if cur.children[1] == nil { cur.children[1] = Node Node.parent = cur if cur.parent != nil && cur.parent.size == 3 { if cur.parent.children[1] == nil { tree.rlrotate3(cur.parent) } else { tree.lrotate3(cur.parent) } } return } cur = cur.children[1] } } } type TraversalMethod int const ( // L = left R = right D = Value(dest) _ TraversalMethod = iota //DLR 先值 然后左递归 右递归 下面同理 DLR //LDR 先从左边有序访问到右边 从小到大 LDR // LRD 同理 LRD // DRL 同理 DRL // RDL 先从右边有序访问到左边 从大到小 RDL // RLD 同理 RLD ) // Traversal 遍历的方法 默认是LDR 从小到大 Compare 为 l < r func (tree *vbTree) Traversal(every func(v interface{}) bool, traversalMethod ...interface{}) { if tree.root == nil { return } method := LDR if len(traversalMethod) != 0 { method = traversalMethod[0].(TraversalMethod) } switch method { case DLR: var traverasl func(cur *Node) bool traverasl = func(cur *Node) bool { if cur == nil { return true } if !every(cur.value) { return false } if !traverasl(cur.children[0]) { return false } if !traverasl(cur.children[1]) { return false } return true } traverasl(tree.root) case LDR: var traverasl func(cur *Node) bool traverasl = func(cur *Node) bool { if cur == nil { return true } if !traverasl(cur.children[0]) { return false } if !every(cur.value) { return false } if !traverasl(cur.children[1]) { return false } return true } traverasl(tree.root) case LRD: var traverasl func(cur *Node) bool traverasl = func(cur *Node) bool { if cur == nil { return true } if !traverasl(cur.children[0]) { return false } if !traverasl(cur.children[1]) { return false } if !every(cur.value) { return false } return true } traverasl(tree.root) case DRL: var traverasl func(cur *Node) bool traverasl = func(cur *Node) bool { if cur == nil { return true } if !every(cur.value) { return false } if !traverasl(cur.children[0]) { return false } if !traverasl(cur.children[1]) { return false } return true } traverasl(tree.root) case RDL: var traverasl func(cur *Node) bool traverasl = func(cur *Node) bool { if cur == nil { return true } if !traverasl(cur.children[1]) { return false } if !every(cur.value) { return false } if !traverasl(cur.children[0]) { return false } return true } traverasl(tree.root) case RLD: var traverasl func(cur *Node) bool traverasl = func(cur *Node) bool { if cur == nil { return true } if !traverasl(cur.children[1]) { return false } if !traverasl(cur.children[0]) { return false } if !every(cur.value) { return false } return true } traverasl(tree.root) } } func setChildNotNil(cur *Node, cidx int, child *Node) { cur.children[cidx] = child cur.children[cidx].parent = cur } func setChild(cur *Node, cidx int, child *Node) { cur.children[cidx] = child if child != nil { cur.children[cidx].parent = cur } } func (tree *vbTree) replace(old, new *Node) { setChild(new, 0, old.children[0]) setChild(new, 1, old.children[1]) if old.parent == nil { tree.root = new } else { if old.parent.children[1] == old { old.parent.children[1] = new } else { old.parent.children[0] = new } } new.size = old.size new.parent = old.parent } func (tree *vbTree) takeParent(token, person *Node) { if token.parent == nil { tree.root = person } else { if token.parent.children[1] == token { token.parent.children[1] = person } else { token.parent.children[0] = person } } person.parent = token.parent } func (tree *vbTree) lrrotate3(cur *Node) *Node { const l = 1 const r = 0 ln := cur.children[l] cur.children[l] = nil lrn := ln.children[r] ln.children[r] = nil tree.takeParent(cur, lrn) setChildNotNil(lrn, l, ln) setChildNotNil(lrn, r, cur) lrn.size = 3 lrn.children[l].size = 1 lrn.children[r].size = 1 return lrn } func (tree *vbTree) lrrotate(cur *Node) *Node { const l = 1 const r = 0 ln := cur.children[l] lrn := ln.children[r] lrln := lrn.children[l] lrrn := lrn.children[r] tree.takeParent(cur, lrn) setChild(ln, r, lrln) setChild(cur, l, lrrn) setChildNotNil(lrn, l, ln) setChildNotNil(lrn, r, cur) ln.size = getChildrenSumSize(ln) + 1 cur.size = getChildrenSumSize(cur) + 1 lrn.size = getChildrenSumSize(lrn) + 1 return lrn } func (tree *vbTree) rlrotate3(cur *Node) *Node { const l = 0 const r = 1 ln := cur.children[l] cur.children[l] = nil lrn := ln.children[r] ln.children[r] = nil tree.takeParent(cur, lrn) setChildNotNil(lrn, l, ln) setChildNotNil(lrn, r, cur) lrn.size = 3 lrn.children[l].size = 1 lrn.children[r].size = 1 return lrn } func (tree *vbTree) rlrotate(cur *Node) *Node { const l = 0 const r = 1 ln := cur.children[l] lrn := ln.children[r] lrln := lrn.children[l] lrrn := lrn.children[r] tree.takeParent(cur, lrn) setChild(ln, r, lrln) setChild(cur, l, lrrn) setChildNotNil(lrn, l, ln) setChildNotNil(lrn, r, cur) ln.size = getChildrenSumSize(ln) + 1 cur.size = getChildrenSumSize(cur) + 1 lrn.size = getChildrenSumSize(lrn) + 1 return lrn } func (tree *vbTree) rrotate3(cur *Node) *Node { const l = 0 const r = 1 // 1 right 0 left mov := cur.children[l] cur.children[l] = nil tree.takeParent(cur, mov) setChildNotNil(mov, r, cur) mov.size = 3 cur.size = 1 return mov } func (tree *vbTree) rrotate(cur *Node) *Node { const l = 0 const r = 1 // 1 right 0 left ln := cur.children[l] lrn := ln.children[r] tree.takeParent(cur, ln) setChild(cur, l, lrn) setChildNotNil(ln, r, cur) cur.size = getChildrenSumSize(cur) + 1 ln.size = getChildrenSumSize(ln) + 1 return ln } func (tree *vbTree) lrotate3(cur *Node) *Node { const l = 1 const r = 0 // 1 right 0 left mov := cur.children[l] cur.children[l] = nil tree.takeParent(cur, mov) setChildNotNil(mov, r, cur) mov.size = 3 cur.size = 1 return mov } func (tree *vbTree) lrotate(cur *Node) *Node { const l = 1 const r = 0 // 1 right 0 left ln := cur.children[l] lrn := ln.children[r] tree.takeParent(cur, ln) setChild(cur, l, lrn) setChildNotNil(ln, r, cur) cur.size = getChildrenSumSize(cur) + 1 ln.size = getChildrenSumSize(ln) + 1 return ln } func getChildrenSumSize(cur *Node) int { return getSize(cur.children[0]) + getSize(cur.children[1]) } func getChildrenSize(cur *Node) (int, int) { return getSize(cur.children[0]), getSize(cur.children[1]) } func getSize(cur *Node) int { if cur == nil { return 0 } return cur.size } func (tree *vbTree) fixSizeWithRemove(cur *Node) { for cur != nil { cur.size-- if cur.size > 8 { factor := cur.size / 10 // or factor = 1 ls, rs := getChildrenSize(cur) if rs >= ls*2+factor || ls >= rs*2+factor { cur = tree.fixSize(cur, ls, rs) } } else if cur.size == 3 { if cur.children[0] == nil { if cur.children[1].children[0] == nil { cur = tree.lrotate3(cur) } else { cur = tree.lrrotate3(cur) } } else if cur.children[1] == nil { if cur.children[0].children[1] == nil { cur = tree.rrotate3(cur) } else { cur = tree.rlrotate3(cur) } } } cur = cur.parent } } func (tree *vbTree) fixSize(cur *Node, ls, rs int) *Node { if ls > rs { llsize, lrsize := getChildrenSize(cur.children[0]) if lrsize > llsize { return tree.rlrotate(cur) } return tree.rrotate(cur) } else { rlsize, rrsize := getChildrenSize(cur.children[1]) if rlsize > rrsize { return tree.lrrotate(cur) } return tree.lrotate(cur) } } func output(Node *Node, prefix string, isTail bool, str *string) { if Node.children[1] != nil { newPrefix := prefix if isTail { newPrefix += "│ " } else { newPrefix += " " } output(Node.children[1], newPrefix, false, str) } *str += prefix if isTail { *str += "└── " } else { *str += "┌── " } *str += spew.Sprint(Node.value) + "\n" if Node.children[0] != nil { newPrefix := prefix if isTail { newPrefix += " " } else { newPrefix += "│ " } output(Node.children[0], newPrefix, true, str) } } func outputfordebug(Node *Node, prefix string, isTail bool, str *string) { if Node.children[1] != nil { newPrefix := prefix if isTail { newPrefix += "│ " } else { newPrefix += " " } outputfordebug(Node.children[1], newPrefix, false, str) } *str += prefix if isTail { *str += "└── " } else { *str += "┌── " } suffix := "(" parentv := "" if Node.parent == nil { parentv = "nil" } else { parentv = spew.Sprint(Node.parent.value) } suffix += parentv + "|" + spew.Sprint(Node.size) + ")" *str += spew.Sprint(Node.value) + suffix + "\n" if Node.children[0] != nil { newPrefix := prefix if isTail { newPrefix += " " } else { newPrefix += "│ " } outputfordebug(Node.children[0], newPrefix, true, str) } } func (tree *vbTree) debugString() string { str := "AVLTree\n" if tree.root == nil { return str + "nil" } outputfordebug(tree.root, "", true, &str) return str }