package hashmap import ( "474420502.top/eson/structure/compare" "github.com/davecgh/go-spew/spew" ) type avlNode struct { children [2]*avlNode parent *avlNode height int key, value interface{} } type avlTree struct { root *avlNode size int Compare compare.Compare } func avlNew(Compare compare.Compare) *avlTree { return &avlTree{Compare: Compare} } func (tree *avlTree) Clear() { tree.size = 0 tree.root = nil } func (tree *avlTree) Size() int { return tree.size } func (tree *avlTree) Remove(key interface{}) (interface{}, bool) { if n, ok := tree.GetNode(key); ok { tree.size-- if tree.size == 0 { tree.root = nil return n.value, true } left := getHeight(n.children[0]) right := getHeight(n.children[1]) if left == -1 && right == -1 { p := n.parent p.children[getRelationship(n)] = nil tree.fixRemoveHeight(p) return n.value, true } var cur *avlNode 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 n.key, cur.key = cur.key, n.key // 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.fixRemoveHeight(n) } else { tree.fixRemoveHeight(cparent) } return cur.value, true } return nil, false } func (tree *avlTree) Get(key interface{}) (interface{}, bool) { n, ok := tree.GetNode(key) if ok { return n.value, true } return n, false } func (tree *avlTree) GetNode(key interface{}) (*avlNode, bool) { for n := tree.root; n != nil; { switch c := tree.Compare(key, n.key); c { case -1: n = n.children[0] case 1: n = n.children[1] case 0: return n, true default: panic("Get Compare only is allowed in -1, 0, 1") } } return nil, false } func (tree *avlTree) PutNode(pnode *avlNode) bool { pnode.height = 0 pnode.children[0] = nil pnode.children[1] = nil // pnode.parent = nil if tree.size == 0 { tree.size++ tree.root = pnode pnode.parent = nil return true } for cur, c := tree.root, 0; ; { c = tree.Compare(pnode.key, cur.key) if c == -1 { if cur.children[0] == nil { tree.size++ cur.children[0] = pnode cur.children[0].parent = cur if cur.height == 0 { tree.fixPutHeight(cur) } return true } cur = cur.children[0] } else if c == 1 { if cur.children[1] == nil { tree.size++ cur.children[1] = pnode cur.children[1].parent = cur if cur.height == 0 { tree.fixPutHeight(cur) } return true } cur = cur.children[1] } else { cur.key = pnode.key cur.value = pnode.value return false } } } func (tree *avlTree) Put(key, value interface{}) bool { if tree.size == 0 { tree.size++ tree.root = &avlNode{key: key, value: value} return true } for cur, c := tree.root, 0; ; { c = tree.Compare(key, cur.key) if c == -1 { if cur.children[0] == nil { tree.size++ cur.children[0] = &avlNode{key: key, value: value} cur.children[0].parent = cur if cur.height == 0 { tree.fixPutHeight(cur) } return true } cur = cur.children[0] } else if c == 1 { if cur.children[1] == nil { tree.size++ cur.children[1] = &avlNode{key: key, value: value} cur.children[1].parent = cur if cur.height == 0 { tree.fixPutHeight(cur) } return true } cur = cur.children[1] } else { cur.key = key cur.value = value return false } } } 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 *avlTree) Traversal(every func(node *avlNode) 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 *avlNode) bool traverasl = func(cur *avlNode) bool { if cur == nil { return true } if !every(cur) { 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 *avlNode) bool traverasl = func(cur *avlNode) bool { if cur == nil { return true } if !traverasl(cur.children[0]) { return false } if !every(cur) { return false } if !traverasl(cur.children[1]) { return false } return true } traverasl(tree.root) case LRD: var traverasl func(cur *avlNode) bool traverasl = func(cur *avlNode) bool { if cur == nil { return true } if !traverasl(cur.children[0]) { return false } if !traverasl(cur.children[1]) { return false } if !every(cur) { return false } return true } traverasl(tree.root) case DRL: var traverasl func(cur *avlNode) bool traverasl = func(cur *avlNode) bool { if cur == nil { return true } if !every(cur) { 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 *avlNode) bool traverasl = func(cur *avlNode) bool { if cur == nil { return true } if !traverasl(cur.children[1]) { return false } if !every(cur) { return false } if !traverasl(cur.children[0]) { return false } return true } traverasl(tree.root) case RLD: var traverasl func(cur *avlNode) bool traverasl = func(cur *avlNode) bool { if cur == nil { return true } if !traverasl(cur.children[1]) { return false } if !traverasl(cur.children[0]) { return false } if !every(cur) { return false } return true } traverasl(tree.root) } } func (tree *avlTree) lrrotate(cur *avlNode) { 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 mov.key, cur.key = cur.key, mov.key 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 mov.height = getMaxChildrenHeight(mov) + 1 movparent.height = getMaxChildrenHeight(movparent) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (tree *avlTree) rlrotate(cur *avlNode) { 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 mov.key, cur.key = cur.key, mov.key 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 mov.height = getMaxChildrenHeight(mov) + 1 movparent.height = getMaxChildrenHeight(movparent) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (tree *avlTree) rrotate(cur *avlNode) { 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.key, cur.key = cur.key, mov.key // 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.height = getMaxChildrenHeight(mov) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func (tree *avlTree) lrotate(cur *avlNode) { 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 mov.key, cur.key = cur.key, mov.key // 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.height = getMaxChildrenHeight(mov) + 1 cur.height = getMaxChildrenHeight(cur) + 1 } func getMaxAndChildrenHeight(cur *avlNode) (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 *avlNode) int { h1 := getHeight(cur.children[0]) h2 := getHeight(cur.children[1]) if h1 > h2 { return h1 } return h2 } func getHeight(cur *avlNode) int { if cur == nil { return -1 } return cur.height } func (tree *avlTree) fixRemoveHeight(cur *avlNode) { 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 curheight := lrmax + 1 cur.height = curheight // 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]) { tree.lrrotate(cur) } else { tree.lrotate(cur) } } else if diff > 1 { l := cur.children[0] if getHeight(l.children[1]) > getHeight(l.children[0]) { tree.rlrotate(cur) } else { tree.rrotate(cur) } } else { if cur.height == curheight { return } } if cur.parent == nil { return } cur = cur.parent } } func (tree *avlTree) fixPutHeight(cur *avlNode) { 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]) { tree.lrrotate(cur) } else { tree.lrotate(cur) } } else if diff > 1 { l := cur.children[0] if getHeight(l.children[1]) > getHeight(l.children[0]) { tree.rlrotate(cur) } else { tree.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 getRelationship(cur *avlNode) int { if cur.parent.children[1] == cur { return 1 } return 0 } func output(node *avlNode, 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 *avlNode, 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) } } func (tree *avlTree) debugString() string { if tree.size == 0 { return "" } str := "AVLTree\n" outputfordebug(tree.root, "", true, &str) return str }