2019-05-08 02:42:51 +00:00
|
|
|
package avldup
|
|
|
|
|
|
|
|
import (
|
|
|
|
"github.com/davecgh/go-spew/spew"
|
2019-07-28 18:18:22 +00:00
|
|
|
|
|
|
|
"github.com/474420502/focus/compare"
|
|
|
|
"github.com/474420502/focus/tree"
|
2019-05-08 02:42:51 +00:00
|
|
|
)
|
|
|
|
|
|
|
|
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
|
|
|
|
Compare compare.Compare
|
|
|
|
|
|
|
|
iter *Iterator
|
|
|
|
}
|
|
|
|
|
2019-07-28 18:18:22 +00:00
|
|
|
func assertImplementation() {
|
|
|
|
var _ tree.IBSTree = (*Tree)(nil)
|
|
|
|
}
|
|
|
|
|
2019-05-08 02:42:51 +00:00
|
|
|
func New(Compare compare.Compare) *Tree {
|
|
|
|
return &Tree{Compare: Compare, iter: NewIteratorWithCap(nil, 16)}
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) String() string {
|
|
|
|
if tree.size == 0 {
|
|
|
|
return ""
|
|
|
|
}
|
|
|
|
str := "AVLTree\n"
|
|
|
|
output(tree.root, "", true, &str)
|
|
|
|
|
|
|
|
return str
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) Size() int {
|
|
|
|
return tree.size
|
|
|
|
}
|
|
|
|
|
2019-07-20 20:10:08 +00:00
|
|
|
func (tree *Tree) Iterator() *Iterator {
|
|
|
|
return initIterator(tree)
|
|
|
|
}
|
|
|
|
|
2019-05-08 02:42:51 +00:00
|
|
|
func (tree *Tree) 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 *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 {
|
|
|
|
tree.fixRemoveHeight(n)
|
|
|
|
} else {
|
|
|
|
tree.fixRemoveHeight(cparent)
|
|
|
|
}
|
|
|
|
return cur.value, true
|
|
|
|
}
|
|
|
|
|
|
|
|
return nil, false
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) Clear() {
|
|
|
|
tree.size = 0
|
|
|
|
tree.root = nil
|
|
|
|
tree.iter = NewIteratorWithCap(nil, 16)
|
|
|
|
}
|
|
|
|
|
|
|
|
// Values 返回先序遍历的值
|
|
|
|
func (tree *Tree) Values() []interface{} {
|
|
|
|
mszie := 0
|
|
|
|
if tree.root != nil {
|
|
|
|
mszie = tree.size
|
|
|
|
}
|
|
|
|
result := make([]interface{}, 0, mszie)
|
|
|
|
tree.Traversal(func(v interface{}) bool {
|
|
|
|
result = append(result, v)
|
|
|
|
return true
|
|
|
|
}, LDR)
|
|
|
|
return result
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) GetRange(k1, k2 interface{}) (result []interface{}) {
|
|
|
|
c := tree.Compare(k2, k1)
|
|
|
|
switch c {
|
|
|
|
case 1:
|
|
|
|
|
|
|
|
var min, max *Node
|
|
|
|
resultmin := tree.getArountNode(k1)
|
|
|
|
resultmax := tree.getArountNode(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, 16)
|
|
|
|
|
|
|
|
tree.iter.SetNode(min)
|
|
|
|
iter := tree.iter
|
|
|
|
for iter.Next() {
|
|
|
|
result = append(result, iter.Value())
|
|
|
|
if iter.cur == max {
|
|
|
|
break
|
|
|
|
}
|
|
|
|
}
|
|
|
|
case -1:
|
|
|
|
|
|
|
|
var min, max *Node
|
|
|
|
resultmin := tree.getArountNode(k2)
|
|
|
|
resultmax := tree.getArountNode(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, 16)
|
|
|
|
|
|
|
|
tree.iter.SetNode(max)
|
|
|
|
iter := tree.iter
|
|
|
|
for iter.Prev() {
|
|
|
|
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 *Tree) Get(key interface{}) (interface{}, bool) {
|
|
|
|
n, ok := tree.GetNode(key)
|
|
|
|
if ok {
|
|
|
|
return n.value, true
|
|
|
|
}
|
|
|
|
return n, false
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) GetAround(key interface{}) (result [3]interface{}) {
|
|
|
|
an := tree.getArountNode(key)
|
|
|
|
for i, n := range an {
|
|
|
|
if n != nil {
|
|
|
|
result[i] = n.value
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) getArountNode(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:
|
|
|
|
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.GetPrev(result[1], 1)
|
|
|
|
result[2] = tree.iter.GetNext(result[1], 1)
|
|
|
|
} else {
|
|
|
|
result[0] = last
|
|
|
|
result[2] = tree.iter.GetNext(last, 1)
|
|
|
|
}
|
|
|
|
|
|
|
|
case -1:
|
|
|
|
|
|
|
|
if result[1] != nil {
|
|
|
|
result[0] = tree.iter.GetPrev(result[1], 1)
|
|
|
|
result[2] = tree.iter.GetNext(result[1], 1)
|
|
|
|
} else {
|
|
|
|
result[2] = last
|
|
|
|
result[0] = tree.iter.GetPrev(last, 1)
|
|
|
|
}
|
|
|
|
|
|
|
|
case 0:
|
|
|
|
|
|
|
|
if result[1] == nil {
|
|
|
|
return
|
|
|
|
}
|
|
|
|
result[0] = tree.iter.GetPrev(result[1], 1)
|
|
|
|
result[2] = tree.iter.GetNext(result[1], 1)
|
|
|
|
}
|
|
|
|
return
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) 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:
|
|
|
|
return n, true
|
|
|
|
default:
|
|
|
|
panic("Get Compare only is allowed in -1, 0, 1")
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return nil, false
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) Put(key interface{}) {
|
|
|
|
|
|
|
|
if tree.size == 0 {
|
|
|
|
tree.root = &Node{value: key}
|
|
|
|
tree.size++
|
|
|
|
return
|
|
|
|
}
|
|
|
|
|
|
|
|
for cur, c := tree.root, 0; ; {
|
|
|
|
c = tree.Compare(key, cur.value)
|
|
|
|
if c == -1 {
|
|
|
|
if cur.children[0] == nil {
|
|
|
|
tree.size++
|
|
|
|
cur.children[0] = &Node{value: key}
|
|
|
|
cur.children[0].parent = cur
|
|
|
|
if cur.height == 0 {
|
|
|
|
tree.fixPutHeight(cur)
|
|
|
|
}
|
|
|
|
return
|
|
|
|
}
|
|
|
|
cur = cur.children[0]
|
|
|
|
} else if c == 1 {
|
|
|
|
if cur.children[1] == nil {
|
|
|
|
tree.size++
|
|
|
|
cur.children[1] = &Node{value: key}
|
|
|
|
cur.children[1].parent = cur
|
|
|
|
if cur.height == 0 {
|
|
|
|
tree.fixPutHeight(cur)
|
|
|
|
}
|
|
|
|
return
|
|
|
|
}
|
|
|
|
cur = cur.children[1]
|
|
|
|
} else {
|
|
|
|
cur.value = key
|
|
|
|
return
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
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 *Tree) 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 (tree *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 (tree *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
|
|
|
|
|
|
|
|
mov.height = getMaxChildrenHeight(mov) + 1
|
|
|
|
movparent.height = getMaxChildrenHeight(movparent) + 1
|
|
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *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 (tree *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.height = getMaxChildrenHeight(mov) + 1
|
|
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *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.height = getMaxChildrenHeight(mov) + 1
|
|
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *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.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 (tree *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
|
|
|
|
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 *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]) {
|
|
|
|
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 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)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
func (tree *Tree) debugString() string {
|
|
|
|
if tree.size == 0 {
|
|
|
|
return ""
|
|
|
|
}
|
|
|
|
str := "AVLTree\n"
|
|
|
|
outputfordebug(tree.root, "", true, &str)
|
|
|
|
return str
|
|
|
|
}
|