package avl import ( "github.com/davecgh/go-spew/spew" "github.com/emirpasic/gods/utils" ) type Node struct { children [2]*Node parent *Node height 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.height) + ")" } type Tree struct { root *Node size int comparator utils.Comparator } func New(comparator utils.Comparator) *Tree { if m == nil { m = make(map[int]int) } return &Tree{comparator: comparator} } func (avl *Tree) String() string { if avl.size == 0 { return "" } str := "AVLTree\n" output(avl.root, "", true, &str) return str } func (avl *Tree) Iterator() *Iterator { return initIterator(avl) } func (avl *Tree) Size() int { return avl.size } func (avl *Tree) Remove(key interface{}) *Node { if n, ok := avl.GetNode(key); ok { avl.size-- if avl.size == 0 { avl.root = nil return n } left := getHeight(n.children[0]) right := getHeight(n.children[1]) if left == -1 && right == -1 { p := n.parent p.children[getRelationship(n)] = nil avl.fixRemoveHeight(p) return n } var cur *Node if left > right { 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 // 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 { avl.fixRemoveHeight(n) } else { avl.fixRemoveHeight(cparent) } return cur } return nil } // Values 返回先序遍历的值 func (avl *Tree) Values() []interface{} { mszie := 0 if avl.root != nil { mszie = avl.size } result := make([]interface{}, 0, mszie) avl.Traversal(func(v interface{}) { result = append(result, v) }, DLR) return result } func (avl *Tree) Get(key interface{}) (interface{}, bool) { n, ok := avl.GetNode(key) if ok { return n.value, true } return n, false } func (avl *Tree) GetRange(min, max interface{}) []interface{} { return nil } func (avl *Tree) GetAround(key interface{}) (result [3]interface{}) { an := avl.GetAroundNode(key) for i, n := range an { if n != nil { result[i] = n.value } } return } func (avl *Tree) GetAroundNode(value interface{}) (result [3]*Node) { if cur, ok := avl.GetNode(value); ok { var iter *Iterator iter = NewIterator(cur) iter.curPushPrevStack(iter.up) iter.up = iter.getPrevUp(iter.up) if v, ok := iter.tstack.Pop(); ok { result[0] = v.(*Node) // iter.curPushPrevStack(iter.cur) } else { result[0] = iter.up } iter = NewIterator(cur) iter.curPushNextStack(iter.up) iter.up = iter.getNextUp(iter.up) if v, ok := iter.tstack.Pop(); ok { result[2] = v.(*Node) // iter.curPushNextStack(iter.cur) } else { result[2] = iter.up } result[1] = cur } return } func (avl *Tree) GetNode(value interface{}) (*Node, bool) { for n := avl.root; n != nil; { switch c := avl.comparator(value, n.value); c { case -1: n = n.children[0] case 1: n = n.children[1] case 0: return n, true default: panic("Get comparator only is allowed in -1, 0, 1") } } return nil, false } func (avl *Tree) Put(value interface{}) { avl.size++ node := &Node{value: value} if avl.size == 1 { avl.root = node return } cur := avl.root parent := cur.parent child := -1 for { if cur == nil { parent.children[child] = node node.parent = parent if node.parent.height == 0 { avl.fixPutHeight(node.parent) } return } parent = cur c := avl.comparator(value, cur.value) child = (c + 2) / 2 cur = cur.children[child] } } func (avl *Tree) debugString() string { if avl.size == 0 { return "" } str := "AVLTree\n" outputfordebug(avl.root, "", true, &str) return str } type TraversalMethod int const ( _ TraversalMethod = iota //DLR 前序遍历 DLR //LDR 中序遍历 LDR //LRD 后序遍历 LRD ) // Traversal 遍历的方法 func (avl *Tree) Traversal(every func(v interface{}), traversalMethod ...interface{}) { if avl.root == nil { return } method := LDR if len(traversalMethod) != 0 { method = traversalMethod[0].(TraversalMethod) } switch method { case DLR: var traverasl func(cur *Node) traverasl = func(cur *Node) { if cur == nil { return } traverasl(cur.children[0]) every(cur.value) traverasl(cur.children[1]) } traverasl(avl.root) case LRD: var traverasl func(cur *Node) traverasl = func(cur *Node) { if cur == nil { return } traverasl(cur.children[1]) every(cur.value) traverasl(cur.children[0]) } traverasl(avl.root) case LDR: var traverasl func(cur *Node) traverasl = func(cur *Node) { if cur == nil { return } every(cur.value) traverasl(cur.children[0]) traverasl(cur.children[1]) } traverasl(avl.root) } return } func (avl *Tree) lrrotate(cur *Node) { const l = 1 const r = 0 movparent := cur.children[l] mov := movparent.children[r] mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移 if mov.children[l] != nil { movparent.children[r] = mov.children[l] movparent.children[r].parent = movparent //movparent.children[r].child = l } else { movparent.children[r] = nil } if mov.children[r] != nil { mov.children[l] = mov.children[r] //mov.children[l].child = l } else { mov.children[l] = nil } if cur.children[r] != nil { mov.children[r] = cur.children[r] mov.children[r].parent = mov } else { mov.children[r] = nil } cur.children[r] = mov mov.parent = cur // movparent.size = getChildrenSumSize(movparent) + 1 // mov.size = getChildrenSumSize(mov) + 1 // cur.size = getChildrenSumSize(cur) + 1 mov.height = getMaxChildrenHeight(mov) + 1 movparent.height = getMaxChildrenHeight(movparent) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (avl *Tree) rlrotate(cur *Node) { const l = 0 const r = 1 movparent := cur.children[l] mov := movparent.children[r] mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移 if mov.children[l] != nil { movparent.children[r] = mov.children[l] movparent.children[r].parent = movparent } else { movparent.children[r] = nil } if mov.children[r] != nil { mov.children[l] = mov.children[r] } else { mov.children[l] = nil } if cur.children[r] != nil { mov.children[r] = cur.children[r] mov.children[r].parent = mov } else { mov.children[r] = nil } cur.children[r] = mov mov.parent = cur // movparent.size = getChildrenSumSize(movparent) + 1 // mov.size = getChildrenSumSize(mov) + 1 // cur.size = getChildrenSumSize(cur) + 1 mov.height = getMaxChildrenHeight(mov) + 1 movparent.height = getMaxChildrenHeight(movparent) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (avl *Tree) rrotateex(cur *Node) { const l = 0 const r = 1 // 1 right 0 left mov := cur.children[l] if mov == nil { return } mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移 // mov.children[l]不可能为nil cur.children[l] = mov.children[l] if mov.children[l] != nil { mov.children[l].parent = cur } // 解决mov节点孩子转移的问题 if mov.children[r] != nil { mov.children[l] = mov.children[r] } else { mov.children[l] = nil } if cur.children[r] != nil { mov.children[r] = cur.children[r] mov.children[r].parent = mov } else { mov.children[r] = nil } // 连接转移后的节点 由于mov只是与cur交换值,parent不变 cur.children[r] = mov mov.height = getMaxChildrenHeight(mov) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (avl *Tree) rrotate(cur *Node) { const l = 0 const r = 1 // 1 right 0 left mov := cur.children[l] mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移 // mov.children[l]不可能为nil mov.children[l].parent = cur cur.children[l] = mov.children[l] // 解决mov节点孩子转移的问题 if mov.children[r] != nil { mov.children[l] = mov.children[r] } else { mov.children[l] = nil } if cur.children[r] != nil { mov.children[r] = cur.children[r] mov.children[r].parent = mov } else { mov.children[r] = nil } // 连接转移后的节点 由于mov只是与cur交换值,parent不变 cur.children[r] = mov // mov.size = getChildrenSumSize(mov) + 1 // cur.size = getChildrenSumSize(cur) + 1 mov.height = getMaxChildrenHeight(mov) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (avl *Tree) lrotateex(cur *Node) { const l = 1 const r = 0 mov := cur.children[l] if mov == nil { return } mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移 // 不可能为nil cur.children[l] = mov.children[l] if mov.children[l] != nil { mov.children[l].parent = cur } if mov.children[r] != nil { mov.children[l] = mov.children[r] } else { mov.children[l] = nil } if cur.children[r] != nil { mov.children[r] = cur.children[r] mov.children[r].parent = mov } else { mov.children[r] = nil } cur.children[r] = mov // mov.size = getChildrenSumSize(mov) + 1 // cur.size = getChildrenSumSize(cur) + 1 mov.height = getMaxChildrenHeight(mov) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (avl *Tree) lrotate(cur *Node) { const l = 1 const r = 0 mov := cur.children[l] mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移 // 不可能为nil mov.children[l].parent = cur cur.children[l] = mov.children[l] if mov.children[r] != nil { mov.children[l] = mov.children[r] } else { mov.children[l] = nil } if cur.children[r] != nil { mov.children[r] = cur.children[r] mov.children[r].parent = mov } else { mov.children[r] = nil } cur.children[r] = mov // mov.size = getChildrenSumSize(mov) + 1 // cur.size = getChildrenSumSize(cur) + 1 mov.height = getMaxChildrenHeight(mov) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func getMaxAndChildrenHeight(cur *Node) (h1, h2, maxh int) { h1 = getHeight(cur.children[0]) h2 = getHeight(cur.children[1]) if h1 > h2 { maxh = h1 } else { maxh = h2 } return } func getMaxChildrenHeight(cur *Node) int { h1 := getHeight(cur.children[0]) h2 := getHeight(cur.children[1]) if h1 > h2 { return h1 } return h2 } func getHeight(cur *Node) int { if cur == nil { return -1 } return cur.height } func abs(n int) int { y := n >> 31 return (n ^ y) - y } func (avl *Tree) fixRemoveHeight(cur *Node) { for { lefth, rigthh, lrmax := getMaxAndChildrenHeight(cur) // 判断当前节点是否有变化, 如果没变化的时候, 不需要往上修复 isBreak := false if cur.height == lrmax+1 { isBreak = true } else { cur.height = lrmax + 1 } // 计算高度的差值 绝对值大于2的时候需要旋转 diff := lefth - rigthh if diff < -1 { r := cur.children[1] // 根据左旋转的右边节点的子节点 左右高度选择旋转的方式 if getHeight(r.children[0]) > getHeight(r.children[1]) { avl.lrrotate(cur) } else { avl.lrotate(cur) } } else if diff > 1 { l := cur.children[0] if getHeight(l.children[1]) > getHeight(l.children[0]) { avl.rlrotate(cur) } else { avl.rrotate(cur) } } else { if isBreak { return } } if cur.parent == nil { return } cur = cur.parent } } var m map[int]int func (avl *Tree) fixPutHeight(cur *Node) { for { lefth := getHeight(cur.children[0]) rigthh := getHeight(cur.children[1]) // 计算高度的差值 绝对值大于2的时候需要旋转 diff := lefth - rigthh if diff < -1 { r := cur.children[1] // 根据左旋转的右边节点的子节点 左右高度选择旋转的方式 if getHeight(r.children[0]) > getHeight(r.children[1]) { avl.lrrotate(cur) } else { avl.lrotate(cur) } } else if diff > 1 { l := cur.children[0] if getHeight(l.children[1]) > getHeight(l.children[0]) { avl.rlrotate(cur) } else { avl.rrotate(cur) } } else { // 选择一个child的最大高度 + 1为 高度 if lefth > rigthh { cur.height = lefth + 1 } else { cur.height = rigthh + 1 } } if cur.parent == nil || cur.height < cur.parent.height { return } cur = cur.parent } } 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.height) + ")" *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) } }