213
This commit is contained in:
441
avl/avl.go
441
avl/avl.go
@@ -1,9 +1,8 @@
|
||||
package avl
|
||||
|
||||
import (
|
||||
"474420502.top/eson/structure/compare"
|
||||
"github.com/davecgh/go-spew/spew"
|
||||
|
||||
"github.com/emirpasic/gods/utils"
|
||||
)
|
||||
|
||||
type Node struct {
|
||||
@@ -26,13 +25,13 @@ func (n *Node) String() string {
|
||||
}
|
||||
|
||||
type Tree struct {
|
||||
root *Node
|
||||
size int
|
||||
comparator utils.Comparator
|
||||
root *Node
|
||||
size int
|
||||
compare compare.Compare
|
||||
}
|
||||
|
||||
func New(comparator utils.Comparator) *Tree {
|
||||
return &Tree{comparator: comparator}
|
||||
func New(compare compare.Compare) *Tree {
|
||||
return &Tree{compare: compare}
|
||||
}
|
||||
|
||||
func (avl *Tree) String() string {
|
||||
@@ -118,18 +117,83 @@ func (avl *Tree) Remove(key interface{}) *Node {
|
||||
}
|
||||
|
||||
// Values 返回先序遍历的值
|
||||
func (avl *Tree) Values() []interface{} {
|
||||
func (tree *Tree) Values() []interface{} {
|
||||
mszie := 0
|
||||
if avl.root != nil {
|
||||
mszie = avl.size
|
||||
if tree.root != nil {
|
||||
mszie = tree.size
|
||||
}
|
||||
result := make([]interface{}, 0, mszie)
|
||||
avl.Traversal(func(v interface{}) {
|
||||
tree.Traversal(func(v interface{}) bool {
|
||||
result = append(result, v)
|
||||
}, DLR)
|
||||
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)
|
||||
|
||||
iter := NewIterator(min)
|
||||
for iter.Prev() {
|
||||
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)
|
||||
|
||||
iter := NewIterator(max)
|
||||
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 (avl *Tree) Get(key interface{}) (interface{}, bool) {
|
||||
n, ok := avl.GetNode(key)
|
||||
if ok {
|
||||
@@ -138,12 +202,8 @@ func (avl *Tree) Get(key interface{}) (interface{}, bool) {
|
||||
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)
|
||||
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
|
||||
@@ -152,41 +212,165 @@ func (avl *Tree) GetAround(key interface{}) (result [3]interface{}) {
|
||||
return
|
||||
}
|
||||
|
||||
func (avl *Tree) GetAroundNode(value interface{}) (result [3]*Node) {
|
||||
if cur, ok := avl.GetNode(value); ok {
|
||||
func (tree *Tree) getArountNode(key interface{}) (result [3]*Node) {
|
||||
var last *Node
|
||||
var lastc int
|
||||
|
||||
var iter *Iterator
|
||||
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")
|
||||
}
|
||||
}
|
||||
|
||||
iter = NewIterator(cur)
|
||||
iter.curPushPrevStack(iter.up)
|
||||
iter.up = iter.getPrevUp(iter.up)
|
||||
switch lastc {
|
||||
case 1:
|
||||
const il = 0
|
||||
const ir = 1
|
||||
|
||||
if result[1] == nil {
|
||||
result[0] = last
|
||||
|
||||
parent := last
|
||||
for ; parent != nil && parent.parent != nil; parent = parent.parent {
|
||||
child := getRelationship(parent)
|
||||
if child == (-lastc+2)/2 { // child 与 compare 后左右的关系
|
||||
result[2] = parent.parent
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
if v, ok := iter.tstack.Pop(); ok {
|
||||
result[0] = v.(*Node)
|
||||
// iter.curPushPrevStack(iter.cur)
|
||||
} else {
|
||||
result[0] = iter.up
|
||||
l := result[1].children[il]
|
||||
r := result[1].children[ir]
|
||||
|
||||
if l == nil {
|
||||
result[0] = result[1].parent
|
||||
} else {
|
||||
for l.children[ir] != nil {
|
||||
l = l.children[ir]
|
||||
}
|
||||
result[0] = l
|
||||
}
|
||||
|
||||
if r == nil {
|
||||
|
||||
parent := result[1].parent
|
||||
for ; parent != nil && parent.parent != nil; parent = parent.parent {
|
||||
child := getRelationship(parent)
|
||||
if child == (-lastc+2)/2 { // child 与 compare 后左右的关系
|
||||
result[2] = parent.parent
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
} else {
|
||||
for r.children[il] != nil {
|
||||
r = r.children[il]
|
||||
}
|
||||
result[2] = r
|
||||
}
|
||||
}
|
||||
|
||||
iter = NewIterator(cur)
|
||||
iter.curPushNextStack(iter.up)
|
||||
iter.up = iter.getNextUp(iter.up)
|
||||
case -1:
|
||||
|
||||
const il = 1
|
||||
const ir = 0
|
||||
|
||||
if result[1] == nil {
|
||||
result[2] = last
|
||||
|
||||
parent := last
|
||||
for ; parent != nil && parent.parent != nil; parent = parent.parent {
|
||||
child := getRelationship(parent)
|
||||
if child == (-lastc+2)/2 { // child 与 compare 后左右的关系
|
||||
result[0] = parent.parent
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
if v, ok := iter.tstack.Pop(); ok {
|
||||
result[2] = v.(*Node)
|
||||
// iter.curPushNextStack(iter.cur)
|
||||
} else {
|
||||
result[2] = iter.up
|
||||
|
||||
l := result[1].children[il]
|
||||
r := result[1].children[ir]
|
||||
|
||||
if l == nil {
|
||||
result[2] = result[1].parent
|
||||
} else {
|
||||
for l.children[ir] != nil {
|
||||
l = l.children[ir]
|
||||
}
|
||||
result[2] = l
|
||||
}
|
||||
|
||||
if r == nil {
|
||||
|
||||
parent := result[1].parent
|
||||
for ; parent != nil && parent.parent != nil; parent = parent.parent {
|
||||
child := getRelationship(parent)
|
||||
if child == (-lastc+2)/2 { // child 与 compare 后左右的关系
|
||||
result[0] = parent.parent
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
} else {
|
||||
|
||||
for r.children[il] != nil {
|
||||
r = r.children[il]
|
||||
}
|
||||
result[0] = r
|
||||
|
||||
}
|
||||
}
|
||||
case 0:
|
||||
|
||||
const il = 0
|
||||
const ir = 1
|
||||
|
||||
if result[1] == nil {
|
||||
return
|
||||
}
|
||||
|
||||
result[1] = cur
|
||||
l := result[1].children[il]
|
||||
r := result[1].children[ir]
|
||||
|
||||
if l == nil {
|
||||
result[0] = nil
|
||||
} else {
|
||||
for l.children[ir] != nil {
|
||||
l = l.children[ir]
|
||||
}
|
||||
result[0] = l
|
||||
}
|
||||
|
||||
if r == nil {
|
||||
result[2] = nil
|
||||
} else {
|
||||
for r.children[il] != nil {
|
||||
r = r.children[il]
|
||||
}
|
||||
result[2] = r
|
||||
}
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
func (avl *Tree) GetNode(value interface{}) (*Node, bool) {
|
||||
|
||||
for n := avl.root; n != nil; {
|
||||
switch c := avl.comparator(value, n.value); c {
|
||||
switch c := avl.compare(value, n.value); c {
|
||||
case -1:
|
||||
n = n.children[0]
|
||||
case 1:
|
||||
@@ -194,7 +378,7 @@ func (avl *Tree) GetNode(value interface{}) (*Node, bool) {
|
||||
case 0:
|
||||
return n, true
|
||||
default:
|
||||
panic("Get comparator only is allowed in -1, 0, 1")
|
||||
panic("Get compare only is allowed in -1, 0, 1")
|
||||
}
|
||||
}
|
||||
return nil, false
|
||||
@@ -224,36 +408,37 @@ func (avl *Tree) Put(value interface{}) {
|
||||
}
|
||||
|
||||
parent = cur
|
||||
c := avl.comparator(value, cur.value)
|
||||
c := avl.compare(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 (
|
||||
// L = left R = right D = Value(dest)
|
||||
_ TraversalMethod = iota
|
||||
//DLR 前序遍历
|
||||
//DLR 先值 然后左递归 右递归 下面同理
|
||||
DLR
|
||||
//LDR 中序遍历
|
||||
//LDR 先从左边有序访问到右边 从小到大
|
||||
LDR
|
||||
//LRD 后序遍历
|
||||
// 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
|
||||
func (avl *Tree) Traversal(every func(v interface{}), traversalMethod ...interface{}) {
|
||||
if avl.root == nil {
|
||||
// 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
|
||||
}
|
||||
|
||||
@@ -264,40 +449,114 @@ func (avl *Tree) Traversal(every func(v interface{}), traversalMethod ...interfa
|
||||
|
||||
switch method {
|
||||
case DLR:
|
||||
var traverasl func(cur *Node)
|
||||
traverasl = func(cur *Node) {
|
||||
var traverasl func(cur *Node) bool
|
||||
traverasl = func(cur *Node) bool {
|
||||
if cur == nil {
|
||||
return
|
||||
return true
|
||||
}
|
||||
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
|
||||
if !every(cur.value) {
|
||||
return false
|
||||
}
|
||||
traverasl(cur.children[1])
|
||||
every(cur.value)
|
||||
traverasl(cur.children[0])
|
||||
if !traverasl(cur.children[0]) {
|
||||
return false
|
||||
}
|
||||
if !traverasl(cur.children[1]) {
|
||||
return false
|
||||
}
|
||||
return true
|
||||
}
|
||||
traverasl(avl.root)
|
||||
traverasl(tree.root)
|
||||
case LDR:
|
||||
var traverasl func(cur *Node)
|
||||
traverasl = func(cur *Node) {
|
||||
var traverasl func(cur *Node) bool
|
||||
traverasl = func(cur *Node) bool {
|
||||
if cur == nil {
|
||||
return
|
||||
return true
|
||||
}
|
||||
every(cur.value)
|
||||
traverasl(cur.children[0])
|
||||
traverasl(cur.children[1])
|
||||
if !traverasl(cur.children[0]) {
|
||||
return false
|
||||
}
|
||||
if !every(cur.value) {
|
||||
return false
|
||||
}
|
||||
if !traverasl(cur.children[1]) {
|
||||
return false
|
||||
}
|
||||
return true
|
||||
}
|
||||
traverasl(avl.root)
|
||||
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)
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
func (avl *Tree) lrrotate(cur *Node) {
|
||||
@@ -563,23 +822,14 @@ func getHeight(cur *Node) int {
|
||||
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
|
||||
}
|
||||
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
|
||||
@@ -598,7 +848,7 @@ func (avl *Tree) fixRemoveHeight(cur *Node) {
|
||||
avl.rrotate(cur)
|
||||
}
|
||||
} else {
|
||||
if isBreak {
|
||||
if cur.height == curheight {
|
||||
return
|
||||
}
|
||||
}
|
||||
@@ -722,3 +972,12 @@ func outputfordebug(node *Node, prefix string, isTail bool, str *string) {
|
||||
outputfordebug(node.children[0], newPrefix, true, str)
|
||||
}
|
||||
}
|
||||
|
||||
func (avl *Tree) debugString() string {
|
||||
if avl.size == 0 {
|
||||
return ""
|
||||
}
|
||||
str := "AVLTree\n"
|
||||
outputfordebug(avl.root, "", true, &str)
|
||||
return str
|
||||
}
|
||||
|
||||
@@ -95,6 +95,7 @@ func TestIterator(t *testing.T) {
|
||||
}
|
||||
|
||||
l = []int{21, 20, 15, 14, 7, 7, 6, 5, 4, 3, 2, 1}
|
||||
t.Error(iter.cur, iter.tstack)
|
||||
for i := 0; iter.Next(); i++ { // cur is 30 next is 21
|
||||
if iter.Value().(int) != l[i] {
|
||||
t.Error(iter.Value())
|
||||
|
||||
@@ -1,12 +1,12 @@
|
||||
package avl
|
||||
|
||||
import (
|
||||
"log"
|
||||
|
||||
"474420502.top/eson/structure/lastack"
|
||||
)
|
||||
|
||||
type Iterator struct {
|
||||
op *Tree
|
||||
|
||||
dir int
|
||||
up *Node
|
||||
cur *Node
|
||||
@@ -15,7 +15,7 @@ type Iterator struct {
|
||||
}
|
||||
|
||||
func initIterator(avltree *Tree) *Iterator {
|
||||
iter := &Iterator{op: avltree, tstack: lastack.New()}
|
||||
iter := &Iterator{tstack: lastack.New()}
|
||||
iter.up = avltree.root
|
||||
return iter
|
||||
}
|
||||
@@ -48,6 +48,36 @@ func (iter *Iterator) Right() bool {
|
||||
return false
|
||||
}
|
||||
|
||||
func GetPrev(cur *Node, idx int) *Node {
|
||||
|
||||
iter := NewIterator(cur)
|
||||
iter.curPushPrevStack(iter.up)
|
||||
iter.up = iter.getPrevUp(iter.up)
|
||||
|
||||
for i := 0; i < idx; i++ {
|
||||
|
||||
if iter.tstack.Size() == 0 {
|
||||
if iter.up == nil {
|
||||
return nil
|
||||
}
|
||||
iter.tstack.Push(iter.up)
|
||||
iter.up = iter.getPrevUp(iter.up)
|
||||
}
|
||||
|
||||
if v, ok := iter.tstack.Pop(); ok {
|
||||
iter.cur = v.(*Node)
|
||||
if i == idx-1 {
|
||||
return iter.cur
|
||||
}
|
||||
iter.curPushPrevStack(iter.cur)
|
||||
} else {
|
||||
return nil
|
||||
}
|
||||
}
|
||||
|
||||
return cur
|
||||
}
|
||||
|
||||
func (iter *Iterator) Prev() (result bool) {
|
||||
|
||||
if iter.dir > -1 {
|
||||
@@ -75,6 +105,35 @@ func (iter *Iterator) Prev() (result bool) {
|
||||
|
||||
return false
|
||||
}
|
||||
func GetNext(cur *Node, idx int) *Node {
|
||||
|
||||
iter := NewIterator(cur)
|
||||
iter.curPushNextStack(iter.up)
|
||||
iter.up = iter.getNextUp(iter.up)
|
||||
|
||||
for i := 0; i < idx; i++ {
|
||||
|
||||
if iter.tstack.Size() == 0 {
|
||||
if iter.up == nil {
|
||||
return nil
|
||||
}
|
||||
iter.tstack.Push(iter.up)
|
||||
iter.up = iter.getNextUp(iter.up)
|
||||
}
|
||||
|
||||
if v, ok := iter.tstack.Pop(); ok {
|
||||
iter.cur = v.(*Node)
|
||||
if i == idx-1 {
|
||||
return iter.cur
|
||||
}
|
||||
iter.curPushNextStack(iter.cur)
|
||||
} else {
|
||||
return nil
|
||||
}
|
||||
}
|
||||
|
||||
return cur
|
||||
}
|
||||
|
||||
func (iter *Iterator) Next() (result bool) {
|
||||
|
||||
@@ -127,6 +186,7 @@ func (iter *Iterator) curPushNextStack(cur *Node) {
|
||||
next := cur.children[0] // 当前的左然后向右找, 找到最大, 就是最接近cur 并且小于cur的值
|
||||
|
||||
if next != nil {
|
||||
log.Println(iter.tstack)
|
||||
iter.tstack.Push(next)
|
||||
for next.children[1] != nil {
|
||||
next = next.children[1]
|
||||
|
||||
Reference in New Issue
Block a user