structure/priority_queue/vbt.go
2019-03-26 19:17:57 +08:00

1035 lines
19 KiB
Go

package pqueue
import (
"log"
"474420502.top/eson/structure/compare"
"github.com/davecgh/go-spew/spew"
)
type tNode struct {
children [2]*tNode
parent *tNode
size int
value interface{}
}
func (n *tNode) 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 *tNode
Compare compare.Compare
}
func newVBT(Compare compare.Compare) *vbTree {
return &vbTree{Compare: Compare}
}
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() *vbtIterator {
return initIterator(tree)
}
func (tree *vbTree) Size() int {
if tree.root == nil {
return 0
}
return tree.root.size
}
func (tree *vbTree) indexNode(idx int) *tNode {
cur := tree.root
if idx >= 0 {
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]
}
}
} else {
idx = -idx - 1
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]
}
}
}
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 - 1
} else {
idx2 = tree.root.size + idx2 - 1
}
}
if idx1 > idx2 {
ok = true
if idx1 >= tree.root.size {
idx1 = tree.root.size - 1
ok = false
}
n := tree.indexNode(idx1)
iter := NewIterator(n)
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 {
iter := NewIterator(n)
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) bool {
n := tree.indexNode(idx)
if n != nil {
tree.removeNode(n)
return true
}
return false
}
func (tree *vbTree) removeNode(n *tNode) {
if tree.root.size == 1 {
tree.root = nil
// return n
return
}
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 *tNode
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
replaceNodeMayRoot(n, cur)
// 修改为interface 交换
// n.value, cur.value = cur.value, n.value
tree.fixSizeWithRemove(cparent)
return
}
func (tree *vbTree) Remove(key interface{}) bool {
if n, ok := tree.GetNode(key); ok {
tree.removeNode(n)
return true
}
// return nil
return 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
}, LDR)
return result
}
func (tree *vbTree) GetRange(k1, k2 interface{}) (result []interface{}) {
c := tree.Compare(k2, k1)
switch c {
case 1:
var min, max *tNode
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.Next() {
result = append(result, iter.Value())
if iter.cur == max {
break
}
}
case -1:
var min, max *tNode
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.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 *vbTree) Get(key interface{}) (interface{}, bool) {
n, ok := tree.GetNode(key)
if ok {
return n.value, true
}
return n, false
}
func (tree *vbTree) 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 *vbTree) getArountNode(key interface{}) (result [3]*tNode) {
var last *tNode
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:
iter := NewIterator(n)
iter.Prev()
for iter.Prev() {
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] = getPrev(result[1], 1)
result[2] = getNext(result[1], 1)
} else {
result[0] = last
result[2] = getNext(last, 1)
}
case -1:
if result[1] != nil {
result[0] = getPrev(result[1], 1)
result[2] = getNext(result[1], 1)
} else {
result[2] = last
result[0] = getPrev(last, 1)
}
case 0:
if result[1] == nil {
return
}
result[0] = getPrev(result[1], 1)
result[2] = getNext(result[1], 1)
}
return
}
func (tree *vbTree) GetNode(value interface{}) (*tNode, 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:
iter := NewIterator(n)
iter.Prev()
for iter.Prev() {
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{}) *tNode {
node := &tNode{value: key, size: 1}
if tree.root == nil {
tree.root = node
return node
}
cur := tree.root
parent := cur.parent
child := -1
for {
if cur == nil {
parent.children[child] = node
node.parent = parent
fixed := parent.parent
fsize := getSize(fixed)
if fsize == 3 {
lefts, rigths := getChildrenSize(fixed)
tree.fix3Size(fixed, lefts, rigths)
}
return node
}
if cur.size > 8 {
ls, rs := cur.children[0].size, cur.children[1].size
factor := cur.size / 10 // or factor = 1
if rs >= ls*2+factor || ls >= rs*2+factor {
tree.fixSize(cur, ls, rs)
}
}
cur.size++
parent = cur
c := tree.Compare(key, cur.value)
child = (c + 2) / 2
cur = cur.children[child]
}
}
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 *tNode) bool
traverasl = func(cur *tNode) 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 *tNode) bool
traverasl = func(cur *tNode) 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 *tNode) bool
traverasl = func(cur *tNode) 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 *tNode) bool
traverasl = func(cur *tNode) 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 *tNode) bool
traverasl = func(cur *tNode) 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 *tNode) bool
traverasl = func(cur *tNode) 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 *vbTree) lrrotate3(cur *tNode) {
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
cur.children[r] = mov
mov.parent = cur
cur.children[l] = movparent
movparent.children[r] = nil
cur.children[r] = mov
mov.parent = cur
// cur.size = 3
// cur.children[r].size = 1
cur.children[l].size = 1
}
func (tree *vbTree) lrrotate(cur *tNode) *tNode {
const l = 1
const r = 0
// 1 right 0 left
ln := cur.children[l]
lrn := ln.children[r] // 待转换的节点
lrln := lrn.children[l]
lrrn := lrn.children[r]
ln.children[r] = lrln
ln.children[r].parent = ln
if cur.parent != nil {
if cur.parent.children[l] == cur {
cur.parent.children[l] = lrn
} else {
cur.parent.children[r] = lrn
}
}
lrn.children[l] = cur.children[l]
lrn.children[l].parent = lrn
lrn.children[l] = cur
lrn.children[l].parent = lrn
cur.children[l] = lrrn
cur.children[l].parent = cur
ln.size = getChildrenSumSize(ln) + 1
cur.size = getChildrenSumSize(cur) + 1
lrn.size = getChildrenSumSize(lrn) + 1
return lrn
}
func (tree *vbTree) rlrotate3(cur *tNode) {
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
cur.children[r] = mov
mov.parent = cur
cur.children[l] = movparent
movparent.children[r] = nil
cur.children[r] = mov
mov.parent = cur
// cur.size = 3
// cur.children[r].size = 1
cur.children[l].size = 1
}
func (tree *vbTree) rlrotate(cur *tNode) *tNode {
const l = 0
const r = 1
// 1 right 0 left
ln := cur.children[l]
lrn := ln.children[r] // 待转换的节点
lrln := lrn.children[l]
lrrn := lrn.children[r]
ln.children[r] = lrln
ln.children[r].parent = ln
if cur.parent != nil {
if cur.parent.children[l] == cur {
cur.parent.children[l] = lrn
} else {
cur.parent.children[r] = lrn
}
}
lrn.children[l] = cur.children[l]
lrn.children[l].parent = lrn
lrn.children[l] = cur
lrn.children[l].parent = lrn
cur.children[l] = lrrn
cur.children[l].parent = cur
ln.size = getChildrenSumSize(ln) + 1
cur.size = getChildrenSumSize(cur) + 1
lrn.size = getChildrenSumSize(lrn) + 1
return lrn
}
func (tree *vbTree) rrotate3(cur *tNode) {
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
cur.children[r] = mov
mov.size = 1
cur.children[l] = mov.children[l]
cur.children[l].parent = cur
mov.children[l] = nil
mov.size = 1
}
func (tree *vbTree) rrotate(cur *tNode) *tNode {
const l = 0
const r = 1
// 1 right 0 left
ln := cur.children[l]
lrn := ln.children[r] // 待移到另一则的节点
if cur.parent != nil {
if cur.parent.children[l] == cur {
cur.parent.children[l] = ln
} else {
cur.parent.children[r] = ln
}
}
ln.parent = cur.parent
ln.children[r] = cur
ln.children[r].parent = ln
cur.children[l] = lrn
if lrn != nil {
cur.children[l].parent = cur
}
cur.size = getChildrenSumSize(cur) + 1
ln.size = getChildrenSumSize(ln) + 1
return ln
}
func (tree *vbTree) lrotate3(cur *tNode) {
const l = 1
const r = 0
// 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
cur.children[r] = mov
mov.size = 1
cur.children[l] = mov.children[l]
cur.children[l].parent = cur
mov.children[l] = nil
mov.size = 1
}
func (tree *vbTree) lrotate(cur *tNode) *tNode {
const l = 1
const r = 0
ln := cur.children[l]
lrn := ln.children[r] // 待移到另一则的节点
if cur.parent != nil {
if cur.parent.children[l] == cur {
cur.parent.children[l] = ln
} else {
cur.parent.children[r] = ln
}
}
ln.parent = cur.parent
ln.children[r] = cur
ln.children[r].parent = ln
cur.children[l] = lrn
if lrn != nil {
cur.children[l].parent = cur
}
cur.size = getChildrenSumSize(cur) + 1
ln.size = getChildrenSumSize(ln) + 1
return ln
}
func getChildrenSumSize(cur *tNode) int {
return getSize(cur.children[0]) + getSize(cur.children[1])
}
func getChildrenSize(cur *tNode) (int, int) {
return getSize(cur.children[0]), getSize(cur.children[1])
}
func getSize(cur *tNode) int {
if cur == nil {
return 0
}
return cur.size
}
func (tree *vbTree) fixSizeWithRemove(cur *tNode) {
for cur != nil {
cur.size--
if cur.size > 8 {
ls, rs := getChildrenSize(cur)
factor := cur.size / 10 // or factor = 1
if rs >= ls*2+factor || ls >= rs*2+factor {
tree.fixSize(cur, ls, rs)
}
}
cur = cur.parent
}
}
func (tree *vbTree) fix3Size(cur *tNode, lefts, rigths int) {
if lefts > rigths {
l := cur.children[0]
llsize, lrsize := getChildrenSize(l)
if lrsize > llsize {
tree.rlrotate3(cur)
} else {
tree.rrotate3(cur)
}
} else {
r := cur.children[1]
rlsize, rrsize := getChildrenSize(r)
if rlsize > rrsize {
tree.lrrotate3(cur)
} else {
tree.lrotate3(cur)
}
}
}
func (tree *vbTree) fixSize(cur *tNode, lefts, rigths int) *tNode {
if lefts > rigths {
l := cur.children[0]
llsize, lrsize := getChildrenSize(l)
if lrsize > llsize {
log.Println("rlrotate")
return tree.rlrotate(cur)
} else {
log.Println("rrotate")
return tree.rrotate(cur)
}
} else {
r := cur.children[1]
rlsize, rrsize := getChildrenSize(r)
if rlsize > rrsize {
log.Println("lrrotate")
return tree.lrrotate(cur)
} else {
log.Println("lrotate")
return tree.lrotate(cur)
}
}
}
func insertNode(parent *tNode, childidx int, newn *tNode) {
child := parent.children[childidx]
parent.children[childidx] = newn
newn.parent = parent
// 如果是旋转 还需要把 newn.children[childidx] 转到children的紧邻
newn.children[childidx] = child
}
func replaceNodeNotRoot(oldn, newn *tNode) {
if newn.parent == oldn {
if oldn.children[0] == newn {
oldn.children[0] = nil
} else {
oldn.children[1] = nil
}
}
newn.children[0] = oldn.children[0]
newn.children[1] = oldn.children[1]
newn.parent = oldn.parent
if oldn.parent.children[0] == oldn {
oldn.parent.children[0] = newn
} else {
oldn.parent.children[1] = newn
}
}
func replaceNodeMayRoot(oldn, newn *tNode) {
if newn.parent == oldn {
if oldn.children[0] == newn {
oldn.children[0] = nil
} else {
oldn.children[1] = nil
}
}
newn.children[0] = oldn.children[0]
newn.children[1] = oldn.children[1]
newn.parent = oldn.parent
if oldn.parent != nil {
if oldn.parent.children[0] == oldn {
oldn.parent.children[0] = newn
} else {
oldn.parent.children[1] = newn
}
}
}
func tailReplaceNode(oldn, newn *tNode) {
newn.children[0] = oldn.children[0]
newn.children[1] = oldn.children[1]
newn.parent = oldn.parent
if oldn.parent != nil {
if oldn.parent.children[0] == oldn {
oldn.parent.children[0] = newn
} else {
oldn.parent.children[1] = newn
}
}
}
func output(node *tNode, 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 *tNode, 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.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
}