TODO: avlkey

This commit is contained in:
huangsimin 2019-03-13 19:09:24 +08:00
parent 226627f03e
commit b7e6045064
9 changed files with 1675 additions and 93 deletions

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@ -57,6 +57,10 @@ func (avl *AVL) Iterator() *Iterator {
return initIterator(avl) return initIterator(avl)
} }
func (avl *AVL) Size() int {
return avl.size
}
func (avl *AVL) Remove(v interface{}) *Node { func (avl *AVL) Remove(v interface{}) *Node {
if n, ok := avl.GetNode(v); ok { if n, ok := avl.GetNode(v); ok {

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@ -1,8 +1,10 @@
package avl package avl
import ( import (
"log"
"testing" "testing"
"github.com/emirpasic/gods/maps/hashmap"
"github.com/emirpasic/gods/trees/redblacktree" "github.com/emirpasic/gods/trees/redblacktree"
"github.com/emirpasic/gods/trees/avltree" "github.com/emirpasic/gods/trees/avltree"
@ -347,7 +349,31 @@ func BenchmarkGodsRemove(b *testing.B) {
} }
} }
func BenchmarkGoGet(b *testing.B) {
avl := make(map[int]int)
b.N = CompartorSize
for i := 0; i < b.N; i++ {
avl[randomdata.Number(0, NumberMax)] = i
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
var v int
var ok bool
for i := 0; i < b.N; i++ {
v, ok = avl[randomdata.Number(0, NumberMax)]
}
if ok && v == 1 {
v = 1
}
}
func BenchmarkGet(b *testing.B) { func BenchmarkGet(b *testing.B) {
avl := New(utils.IntComparator) avl := New(utils.IntComparator)
b.N = CompartorSize b.N = CompartorSize
@ -392,6 +418,41 @@ func BenchmarkGodsAvlGet(b *testing.B) {
} }
} }
func BenchmarkGoPut(b *testing.B) {
avl := make(map[int]int)
for i := 0; i < 100000; i++ {
avl[randomdata.Number(0, NumberMax)] = i
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
for i := 0; i < b.N; i++ {
avl[randomdata.Number(0, NumberMax)] = i
}
log.Println(avl[12])
}
func BenchmarkGodsHashmap(b *testing.B) {
avl := hashmap.New()
b.N = CompartorSize * 10
for i := 0; i < b.N; i++ {
avl.Put(randomdata.Number(0, NumberMax), i)
}
// b.ResetTimer()
// b.StartTimer()
// b.N = CompartorSize
// for i := 0; i < b.N; i++ {
// avl[randomdata.Number(0, NumberMax)] = i
// }
}
func BenchmarkPut(b *testing.B) { func BenchmarkPut(b *testing.B) {
avl := New(utils.IntComparator) avl := New(utils.IntComparator)

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@ -24,26 +24,70 @@ func (iter *Iterator) Value() interface{} {
return iter.cur.value return iter.cur.value
} }
func (iter *Iterator) Left() bool {
if iter.cur.children[0] != nil {
iter.dir = 0
iter.cur = iter.cur.children[0]
return true
}
return false
}
func (iter *Iterator) Right() bool {
if iter.cur.children[1] != nil {
iter.dir = 0
iter.cur = iter.cur.children[1]
return true
}
return false
}
func (iter *Iterator) Prev() (result bool) {
if iter.dir > -1 {
if iter.dir == 1 && iter.cur != nil {
iter.tstack.Clear()
iter.curPushPrevStack(iter.cur)
iter.up = iter.getPrevUp(iter.cur)
}
iter.dir = -1
}
if iter.tstack.Size() == 0 {
if iter.up == nil {
return false
}
iter.tstack.Push(iter.up)
iter.up = iter.getPrevUp(iter.up)
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushPrevStack(iter.cur)
return true
}
return false
}
func (iter *Iterator) Next() (result bool) { func (iter *Iterator) Next() (result bool) {
if iter.dir < 1 { if iter.dir < 1 { // 非 1(next 方向定义 -1 为 prev)
if iter.dir == -1 { if iter.dir == -1 && iter.cur != nil { // 如果上次为prev方向, 则清空辅助计算的栈
if iter.cur != nil { iter.tstack.Clear()
iter.tstack.Clear() iter.curPushNextStack(iter.cur) // 把当前cur计算的逆向回朔
iter.curPushNextStack(iter.cur) iter.up = iter.getNextUp(iter.cur) // cur 寻找下个要计算up
iter.up = iter.getNextUp(iter.cur)
}
} }
iter.dir = 1 iter.dir = 1
} }
// 如果栈空了, 把up的递归计算入栈, 重新计算 下次的up值
if iter.tstack.Size() == 0 { if iter.tstack.Size() == 0 {
if iter.up != nil { if iter.up == nil {
iter.tstack.Push(iter.up)
iter.up = iter.getNextUp(iter.up)
} else {
return false return false
} }
iter.tstack.Push(iter.up)
iter.up = iter.getNextUp(iter.up)
} }
if v, ok := iter.tstack.Pop(); ok { if v, ok := iter.tstack.Pop(); ok {
@ -52,6 +96,7 @@ func (iter *Iterator) Next() (result bool) {
return true return true
} }
// 如果再次计算的栈为空, 则只能返回false
return false return false
} }
@ -66,13 +111,13 @@ func (iter *Iterator) getNextUp(cur *Node) *Node {
} }
func (iter *Iterator) curPushNextStack(cur *Node) { func (iter *Iterator) curPushNextStack(cur *Node) {
next := cur.children[0] 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 { if next != nil {
iter.tstack.Push(next) iter.tstack.Push(next)
for next.children[1] != nil { for next.children[1] != nil {
next = next.children[1] next = next.children[1]
iter.tstack.Push(next) iter.tstack.Push(next) // 入栈 用于回溯
} }
} }
} }
@ -98,35 +143,3 @@ func (iter *Iterator) curPushPrevStack(cur *Node) {
} }
} }
} }
func (iter *Iterator) Prev() (result bool) {
if iter.dir > -1 {
if iter.dir == 1 {
if iter.cur != nil {
iter.tstack.Clear()
iter.curPushPrevStack(iter.cur)
iter.up = iter.getPrevUp(iter.cur)
}
}
iter.dir = -1
}
if iter.tstack.Size() == 0 {
if iter.up != nil {
iter.tstack.Push(iter.up)
iter.up = iter.getPrevUp(iter.up)
} else {
return false
}
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushPrevStack(iter.cur)
return true
}
return false
}

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@ -1,4 +1,4 @@
package bstree package avldup
import ( import (
"github.com/davecgh/go-spew/spew" "github.com/davecgh/go-spew/spew"
@ -14,6 +14,13 @@ type Node struct {
value interface{} value interface{}
} }
// func (n *Node) String() string {
// if n == nil {
// return "nil"
// }
// return spew.Sprint(n.value)
// }
func (n *Node) String() string { func (n *Node) String() string {
if n == nil { if n == nil {
return "nil" return "nil"
@ -26,17 +33,17 @@ func (n *Node) String() string {
return spew.Sprint(n.value) + "(" + p + "-" + spew.Sprint(n.child) + "|" + spew.Sprint(n.height) + ")" return spew.Sprint(n.value) + "(" + p + "-" + spew.Sprint(n.child) + "|" + spew.Sprint(n.height) + ")"
} }
type AVLTree struct { type AVLDup struct {
root *Node root *Node
size int size int
comparator utils.Comparator comparator utils.Comparator
} }
func New(comparator utils.Comparator) *AVLTree { func New(comparator utils.Comparator) *AVLDup {
return &AVLTree{comparator: comparator} return &AVLDup{comparator: comparator}
} }
func (avl *AVLTree) String() string { func (avl *AVLDup) String() string {
if avl.size == 0 { if avl.size == 0 {
return "" return ""
} }
@ -46,7 +53,15 @@ func (avl *AVLTree) String() string {
return str return str
} }
func (avl *AVLTree) Remove(v interface{}) *Node { func (avl *AVLDup) Iterator() *Iterator {
return initIterator(avl)
}
func (avl *AVLDup) Size() int {
return avl.size
}
func (avl *AVLDup) Remove(v interface{}) *Node {
if n, ok := avl.GetNode(v); ok { if n, ok := avl.GetNode(v); ok {
@ -105,11 +120,10 @@ func (avl *AVLTree) Remove(v interface{}) *Node {
return n return n
} }
return nil return nil
} }
func (avl *AVLTree) Get(v interface{}) (interface{}, bool) { func (avl *AVLDup) Get(v interface{}) (interface{}, bool) {
n, ok := avl.GetNode(v) n, ok := avl.GetNode(v)
if ok { if ok {
return n.value, true return n.value, true
@ -117,7 +131,70 @@ func (avl *AVLTree) Get(v interface{}) (interface{}, bool) {
return n, false return n, false
} }
func (avl *AVLTree) GetNode(v interface{}) (*Node, bool) { func (avl *AVLDup) GetAround(v interface{}) (result [3]interface{}) {
an := avl.GetAroundNode(v)
for i, n := range an {
if n.value != nil {
result[i] = n.value
}
}
return
}
func (avl *AVLDup) GetAroundNode(v interface{}) (result [3]*Node) {
n := avl.root
for {
if n == nil {
return
}
lastc := 0
switch c := avl.comparator(v, n.value); c {
case -1:
if c != -lastc {
result[0] = n
}
lastc = c
n = n.children[0]
case 1:
if c != -lastc {
result[2] = n
}
lastc = c
n = n.children[1]
case 0:
switch lastc {
case -1:
if n.children[1] != nil {
result[0] = n.children[1]
}
case 1:
if n.children[0] != nil {
result[2] = n.children[0]
}
case 0:
if n.children[1] != nil {
result[0] = n.children[1]
}
if n.children[0] != nil {
result[2] = n.children[0]
}
result[1] = n
return
}
default:
panic("Get comparator only is allowed in -1, 0, 1")
}
}
}
func (avl *AVLDup) GetNode(v interface{}) (*Node, bool) {
n := avl.root n := avl.root
for n != nil { for n != nil {
@ -136,11 +213,11 @@ func (avl *AVLTree) GetNode(v interface{}) (*Node, bool) {
return nil, false return nil, false
} }
func (avl *AVLTree) Put(v interface{}) { func (avl *AVLDup) Put(v interface{}) {
avl.size++
node := &Node{value: v} if avl.size == 0 {
if avl.size == 1 { avl.root = &Node{value: v}
avl.root = node avl.size++
return return
} }
@ -151,9 +228,11 @@ func (avl *AVLTree) Put(v interface{}) {
for { for {
if cur == nil { if cur == nil {
node := &Node{value: v}
parent.children[child] = node parent.children[child] = node
node.parent = parent node.parent = parent
node.child = child node.child = child
avl.size++
if node.parent.height == 0 { if node.parent.height == 0 {
avl.fixPutHeight(node.parent) avl.fixPutHeight(node.parent)
@ -162,19 +241,23 @@ func (avl *AVLTree) Put(v interface{}) {
} }
parent = cur parent = cur
c := avl.comparator(node.value, cur.value) c := avl.comparator(v, cur.value)
if c > -1 { // right switch c { // right
case 1:
child = 1 child = 1
cur = cur.children[child] cur = cur.children[child]
} else { case -1:
child = 0 child = 0
cur = cur.children[child] cur = cur.children[child]
case 0:
cur.value = v
return
} }
} }
} }
func (avl *AVLTree) replace(old *Node, newN *Node) { func (avl *AVLDup) replace(old *Node, newN *Node) {
if old.parent == nil { if old.parent == nil {
setChild(newN, 0, old.children[0]) setChild(newN, 0, old.children[0])
@ -211,16 +294,16 @@ func setChildNotNil(p *Node, child int, node *Node) {
node.parent = p node.parent = p
} }
func (avl *AVLTree) debugString() string { func (avl *AVLDup) debugString() string {
if avl.size == 0 { if avl.size == 0 {
return "" return ""
} }
str := "AVLTree" + "\n" str := "AVLDup" + "\n"
outputfordebug(avl.root, "", true, &str) outputfordebug(avl.root, "", true, &str)
return str return str
} }
func (avl *AVLTree) TraversalBreadth() (result []interface{}) { func (avl *AVLDup) TraversalBreadth() (result []interface{}) {
var traverasl func(cur *Node) var traverasl func(cur *Node)
traverasl = func(cur *Node) { traverasl = func(cur *Node) {
if cur == nil { if cur == nil {
@ -234,7 +317,7 @@ func (avl *AVLTree) TraversalBreadth() (result []interface{}) {
return return
} }
func (avl *AVLTree) TraversalDepth(leftright int) (result []interface{}) { func (avl *AVLDup) TraversalDepth(leftright int) (result []interface{}) {
if leftright < 0 { if leftright < 0 {
var traverasl func(cur *Node) var traverasl func(cur *Node)
@ -263,7 +346,7 @@ func (avl *AVLTree) TraversalDepth(leftright int) (result []interface{}) {
return return
} }
func (avl *AVLTree) lrrotate(cur *Node) *Node { func (avl *AVLDup) lrrotate(cur *Node) *Node {
r := cur.children[1] r := cur.children[1]
rl := r.children[0] rl := r.children[0]
@ -290,7 +373,7 @@ func (avl *AVLTree) lrrotate(cur *Node) *Node {
return rl return rl
} }
func (avl *AVLTree) rlrotate(cur *Node) *Node { func (avl *AVLDup) rlrotate(cur *Node) *Node {
l := cur.children[0] l := cur.children[0]
lr := l.children[1] lr := l.children[1]
@ -316,7 +399,7 @@ func (avl *AVLTree) rlrotate(cur *Node) *Node {
return lr return lr
} }
func (avl *AVLTree) rrotate(cur *Node) *Node { func (avl *AVLDup) rrotate(cur *Node) *Node {
l := cur.children[0] l := cur.children[0]
@ -341,7 +424,7 @@ func (avl *AVLTree) rrotate(cur *Node) *Node {
return l // 返回前 替换为cur节点的节点, 有利余修复高度 return l // 返回前 替换为cur节点的节点, 有利余修复高度
} }
func (avl *AVLTree) lrotate(cur *Node) *Node { func (avl *AVLDup) lrotate(cur *Node) *Node {
r := cur.children[1] r := cur.children[1]
@ -398,7 +481,7 @@ func getHeight(cur *Node) int {
return cur.height return cur.height
} }
func (avl *AVLTree) fixRemoveHeight(cur *Node) { func (avl *AVLDup) fixRemoveHeight(cur *Node) {
for { for {
@ -445,7 +528,7 @@ func (avl *AVLTree) fixRemoveHeight(cur *Node) {
} }
func (avl *AVLTree) fixPutHeight(cur *Node) { func (avl *AVLDup) fixPutHeight(cur *Node) {
for { for {

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@ -1,4 +1,4 @@
package bstree package avldup
import ( import (
"testing" "testing"
@ -41,7 +41,7 @@ func TestRotate(t *testing.T) {
func TestPutStable(t *testing.T) { func TestPutStable(t *testing.T) {
avl := New(utils.IntComparator) avl := New(utils.IntComparator)
for _, v := range []int{7, 14, 15, 20, 30, 21} { for _, v := range []int{7, 14, 15, 20, 30, 21, 7} {
t.Error(v) t.Error(v)
avl.Put(v) avl.Put(v)
t.Error(avl.debugString()) t.Error(avl.debugString())
@ -80,17 +80,12 @@ func TestPutComparatorRandom(t *testing.T) {
godsavl := avltree.NewWithIntComparator() godsavl := avltree.NewWithIntComparator()
content := "" content := ""
m := make(map[int]int) for i := 0; avl.size < 10; i++ {
for i := 0; len(m) < 10; i++ {
v := randomdata.Number(0, 65535) v := randomdata.Number(0, 65535)
if _, ok := m[v]; !ok { content += spew.Sprint(v) + " "
m[v] = v avl.Put(v)
content += spew.Sprint(v) + " " godsavl.Put(v, v)
// t.Error(v)
avl.Put(v)
// t.Error(avl.String())
godsavl.Put(v, v)
}
} }
if avl.String() != godsavl.String() { if avl.String() != godsavl.String() {
@ -165,16 +160,14 @@ ALL:
gods := avltree.NewWithIntComparator() gods := avltree.NewWithIntComparator()
var l []int var l []int
m := make(map[int]int)
for i := 0; len(l) < 10; i++ { for i := 0; avl.size < 10; i++ {
v := randomdata.Number(0, 100) v := randomdata.Number(0, 100)
if _, ok := m[v]; !ok {
l = append(l, v) l = append(l, v)
m[v] = v avl.Put(v)
avl.Put(v) gods.Put(v, v)
gods.Put(v, v)
}
} }
src1 := avl.String() src1 := avl.String()

145
avldup/iterator.go Normal file
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@ -0,0 +1,145 @@
package avldup
import (
"474420502.top/eson/structure/lastack"
)
type Iterator struct {
op *AVLDup
dir int
up *Node
cur *Node
tstack *lastack.Stack
// curnext *Node
}
func initIterator(avltree *AVLDup) *Iterator {
iter := &Iterator{op: avltree, tstack: lastack.New()}
iter.up = avltree.root
return iter
}
func (iter *Iterator) Value() interface{} {
return iter.cur.value
}
func (iter *Iterator) Left() bool {
if iter.cur.children[0] != nil {
iter.dir = 0
iter.cur = iter.cur.children[0]
return true
}
return false
}
func (iter *Iterator) Right() bool {
if iter.cur.children[1] != nil {
iter.dir = 0
iter.cur = iter.cur.children[1]
return true
}
return false
}
func (iter *Iterator) Prev() (result bool) {
if iter.dir > -1 {
if iter.dir == 1 && iter.cur != nil {
iter.tstack.Clear()
iter.curPushPrevStack(iter.cur)
iter.up = iter.getPrevUp(iter.cur)
}
iter.dir = -1
}
if iter.tstack.Size() == 0 {
if iter.up == nil {
return false
}
iter.tstack.Push(iter.up)
iter.up = iter.getPrevUp(iter.up)
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushPrevStack(iter.cur)
return true
}
return false
}
func (iter *Iterator) Next() (result bool) {
if iter.dir < 1 { // 非 1(next 方向定义 -1 为 prev)
if iter.dir == -1 && iter.cur != nil { // 如果上次为prev方向, 则清空辅助计算的栈
iter.tstack.Clear()
iter.curPushNextStack(iter.cur) // 把当前cur计算的逆向回朔
iter.up = iter.getNextUp(iter.cur) // cur 寻找下个要计算up
}
iter.dir = 1
}
// 如果栈空了, 把up的递归计算入栈, 重新计算 下次的up值
if iter.tstack.Size() == 0 {
if iter.up == nil {
return false
}
iter.tstack.Push(iter.up)
iter.up = iter.getNextUp(iter.up)
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushNextStack(iter.cur)
return true
}
// 如果再次计算的栈为空, 则只能返回false
return false
}
func (iter *Iterator) getNextUp(cur *Node) *Node {
for cur != nil {
if cur.child == 1 { // next 在 降序 小值. 如果child在右边, parent 比 child 小, parent才有效, 符合降序
return cur.parent
}
cur = cur.parent
}
return nil
}
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 {
iter.tstack.Push(next)
for next.children[1] != nil {
next = next.children[1]
iter.tstack.Push(next) // 入栈 用于回溯
}
}
}
func (iter *Iterator) getPrevUp(cur *Node) *Node {
for cur != nil {
if cur.child == 0 { // Prev 在 降序 大值. 如果child在左边, parent 比 child 大, parent才有效 , 符合降序
return cur.parent
}
cur = cur.parent
}
return nil
}
func (iter *Iterator) curPushPrevStack(cur *Node) {
prev := cur.children[1]
if prev != nil {
iter.tstack.Push(prev)
for prev.children[0] != nil {
prev = prev.children[0]
iter.tstack.Push(prev)
}
}
}

635
avlkey/avl.go Normal file
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@ -0,0 +1,635 @@
package avl
import (
"github.com/davecgh/go-spew/spew"
"github.com/emirpasic/gods/utils"
)
type Node struct {
children [2]*Node
parent *Node
height int
child int
key, value interface{}
}
// func (n *Node) String() string {
// if n == nil {
// return "nil"
// }
// return spew.Sprint(n.value)
// }
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.child) + "|" + spew.Sprint(n.height) + ")"
}
type AVL struct {
root *Node
size int
comparator utils.Comparator
}
func New(comparator utils.Comparator) *AVL {
return &AVL{comparator: comparator}
}
func (avl *AVL) String() string {
if avl.size == 0 {
return ""
}
str := "AVLTree" + "\n"
output(avl.root, "", true, &str)
return str
}
func (avl *AVL) Iterator() *Iterator {
return initIterator(avl)
}
func (avl *AVL) Size() int {
return avl.size
}
func (avl *AVL) Remove(v interface{}) *Node {
if n, ok := avl.GetNode(v); 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[n.child] = 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[cur.child] = cleft
if cleft != nil {
cleft.child = cur.child
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[cur.child] = cright
if cright != nil {
cright.child = cur.child
cright.parent = cur.parent
}
}
cparent := cur.parent
avl.replace(n, cur)
// 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(cur)
} else {
avl.fixRemoveHeight(cparent)
}
return n
}
return nil
}
func (avl *AVL) Get(v interface{}) (interface{}, bool) {
n, ok := avl.GetNode(v)
if ok {
return n.value, true
}
return n, false
}
func (avl *AVL) GetAround(v interface{}) (result [3]interface{}) {
an := avl.GetAroundNode(v)
for i, n := range an {
if n.value != nil {
result[i] = n.value
}
}
return
}
func (avl *AVL) GetAroundNode(v interface{}) (result [3]*Node) {
n := avl.root
for {
if n == nil {
return
}
lastc := 0
switch c := avl.comparator(v, n.value); c {
case -1:
if c != -lastc {
result[0] = n
}
lastc = c
n = n.children[0]
case 1:
if c != -lastc {
result[2] = n
}
lastc = c
n = n.children[1]
case 0:
switch lastc {
case -1:
if n.children[1] != nil {
result[0] = n.children[1]
}
case 1:
if n.children[0] != nil {
result[2] = n.children[0]
}
case 0:
if n.children[1] != nil {
result[0] = n.children[1]
}
if n.children[0] != nil {
result[2] = n.children[0]
}
result[1] = n
return
}
default:
panic("Get comparator only is allowed in -1, 0, 1")
}
}
}
func (avl *AVL) GetNode(v interface{}) (*Node, bool) {
n := avl.root
for n != nil {
switch c := avl.comparator(v, 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 *AVL) Put(key, value interface{}) {
avl.size++
node := &Node{key: key, 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
node.child = child
if node.parent.height == 0 {
avl.fixPutHeight(node.parent)
}
return
}
parent = cur
c := avl.comparator(node.key, cur.key)
if c > -1 { // right
child = 1
cur = cur.children[child]
} else {
child = 0
cur = cur.children[child]
}
}
}
func (avl *AVL) replace(old *Node, newN *Node) {
if old.parent == nil {
setChild(newN, 0, old.children[0])
setChild(newN, 1, old.children[1])
newN.parent = nil
newN.child = -1
newN.height = old.height
avl.root = newN
} else {
setChild(newN, 0, old.children[0])
setChild(newN, 1, old.children[1])
newN.parent = old.parent
newN.child = old.child
newN.height = old.height
old.parent.children[old.child] = newN
}
}
func setChild(p *Node, child int, node *Node) {
p.children[child] = node
if node != nil {
node.child = child
node.parent = p
}
}
func setChildNotNil(p *Node, child int, node *Node) {
p.children[child] = node
node.child = child
node.parent = p
}
func (avl *AVL) debugString() string {
if avl.size == 0 {
return ""
}
str := "AVL" + "\n"
outputfordebug(avl.root, "", true, &str)
return str
}
func (avl *AVL) TraversalBreadth() (result []interface{}) {
var traverasl func(cur *Node)
traverasl = func(cur *Node) {
if cur == nil {
return
}
result = append(result, cur.value)
traverasl(cur.children[0])
traverasl(cur.children[1])
}
traverasl(avl.root)
return
}
func (avl *AVL) TraversalDepth(leftright int) (result []interface{}) {
if leftright < 0 {
var traverasl func(cur *Node)
traverasl = func(cur *Node) {
if cur == nil {
return
}
traverasl(cur.children[0])
result = append(result, cur.value)
traverasl(cur.children[1])
}
traverasl(avl.root)
} else {
var traverasl func(cur *Node)
traverasl = func(cur *Node) {
if cur == nil {
return
}
traverasl(cur.children[1])
result = append(result, cur.value)
traverasl(cur.children[0])
}
traverasl(avl.root)
}
return
}
func (avl *AVL) lrrotate(cur *Node) *Node {
r := cur.children[1]
rl := r.children[0]
if cur.parent == nil {
avl.root = rl
rl.parent = nil
} else {
setChildNotNil(cur.parent, cur.child, rl)
}
rll := rl.children[0]
rlr := rl.children[1]
setChild(cur, 1, rll)
setChild(r, 0, rlr)
setChildNotNil(rl, 0, cur)
setChildNotNil(rl, 1, r)
cur.height = getMaxChildrenHeight(cur) + 1
r.height = getMaxChildrenHeight(r) + 1
rl.height = getMaxChildrenHeight(rl) + 1
return rl
}
func (avl *AVL) rlrotate(cur *Node) *Node {
l := cur.children[0]
lr := l.children[1]
if cur.parent == nil {
avl.root = lr
lr.parent = nil
} else {
setChildNotNil(cur.parent, cur.child, lr)
}
lrr := lr.children[1]
lrl := lr.children[0]
setChild(cur, 0, lrr)
setChild(l, 1, lrl)
setChildNotNil(lr, 1, cur)
setChildNotNil(lr, 0, l)
cur.height = getMaxChildrenHeight(cur) + 1
l.height = getMaxChildrenHeight(l) + 1
lr.height = getMaxChildrenHeight(lr) + 1
return lr
}
func (avl *AVL) rrotate(cur *Node) *Node {
l := cur.children[0]
setChild(cur, 0, l.children[1])
l.parent = cur.parent
if cur.parent == nil {
avl.root = l
} else {
cur.parent.children[cur.child] = l
}
l.child = cur.child
setChildNotNil(l, 1, cur)
// l.children[1] = cur
// cur.child = 1
// cur.parent = l
cur.height = getMaxChildrenHeight(cur) + 1
l.height = getMaxChildrenHeight(l) + 1
return l // 返回前 替换为cur节点的节点, 有利余修复高度
}
func (avl *AVL) lrotate(cur *Node) *Node {
r := cur.children[1]
// 右左节点 链接 当前的右节点
setChild(cur, 1, r.children[0])
// 设置 需要旋转的节点到当前节点的 链条
r.parent = cur.parent
if cur.parent == nil {
avl.root = r
} else {
cur.parent.children[cur.child] = r
}
r.child = cur.child
// 当前节点旋转到 左边的 链条
setChildNotNil(r, 0, cur)
// r.children[0] = cur
// cur.child = 0
// cur.parent = r
// 修复改动过的节点高度 先从低开始到高
cur.height = getMaxChildrenHeight(cur) + 1
r.height = getMaxChildrenHeight(r) + 1
return r
}
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 (avl *AVL) 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]) {
cur = avl.lrrotate(cur)
} else {
cur = avl.lrotate(cur)
}
} else if diff > 1 {
l := cur.children[0]
if getHeight(l.children[1]) > getHeight(l.children[0]) {
cur = avl.rlrotate(cur)
} else {
cur = avl.rrotate(cur)
}
} else {
if isBreak {
return
}
}
if cur.parent == nil {
return
}
cur = cur.parent
}
}
func (avl *AVL) 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]) {
cur = avl.lrrotate(cur)
} else {
cur = avl.lrotate(cur)
}
} else if diff > 1 {
l := cur.children[0]
if getHeight(l.children[1]) > getHeight(l.children[0]) {
cur = avl.rlrotate(cur)
} else {
cur = 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.child) + "|" + 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)
}
}

503
avlkey/avl_test.go Normal file
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@ -0,0 +1,503 @@
package avl
import (
"log"
"testing"
"github.com/emirpasic/gods/maps/hashmap"
"github.com/emirpasic/gods/trees/redblacktree"
"github.com/emirpasic/gods/trees/avltree"
"github.com/davecgh/go-spew/spew"
"github.com/Pallinder/go-randomdata"
"github.com/emirpasic/gods/utils"
)
func TestRotate(t *testing.T) {
avl := New(utils.IntComparator)
content := ""
for i := 0; i < 10; i++ {
v := randomdata.Number(0, 1000)
content += spew.Sprint(v) + " "
avl.Put(v)
}
t.Error(content)
src := avl.String()
t.Error(src)
lsrc := avl.String()
t.Error(lsrc)
// rrotate(&avl.root)
rsrc := avl.String()
t.Error(rsrc)
if src == rsrc {
t.Error("src == rsrc")
}
}
func TestIterator(t *testing.T) {
avl := New(utils.IntComparator)
for _, v := range []int{1, 2, 7, 4, 5, 6, 7, 14, 15, 20, 30, 21, 3} {
// t.Error(v)
avl.Put(v)
}
t.Error(avl.TraversalDepth(1))
t.Error(avl.debugString())
iter := avl.Iterator()
for iter.Prev() {
t.Error(iter.Value())
}
t.Error("prev == false", iter.Value(), iter.Prev(), iter.Value())
for iter.Next() {
t.Error(iter.Value())
}
t.Error("next == false", iter.Value(), iter.Next(), iter.Value())
for iter.Prev() {
t.Error(iter.Value())
}
t.Error("prev == false", iter.Value())
for i := 0; iter.Next(); i++ {
t.Error(iter.Value())
if i >= 7 {
break
}
}
t.Error("next == false", iter.Value())
for iter.Prev() {
t.Error(iter.Value())
}
t.Error("prev == false", iter.Value())
}
func TestGetAround(t *testing.T) {
avl := New(utils.IntComparator)
for _, v := range []int{7, 14, 15, 20, 30, 21, 40, 40, 50, 3, 40, 40, 40} {
t.Error(v)
avl.Put(v)
t.Error(avl.debugString())
}
t.Error(avl.TraversalDepth(1))
t.Error(avl.GetAroundNode(40))
t.Error(avl.GetAround(40))
}
func TestPutStable(t *testing.T) {
avl := New(utils.IntComparator)
for _, v := range []int{7, 14, 15, 20, 30, 21} {
t.Error(v)
avl.Put(v)
t.Error(avl.debugString())
}
// avl = New(utils.IntComparator)
// for _, v := range []int{88, 77, 80} {
// avl.Put(v)
// t.Error(avl.String())
// }
}
func TestDiffPutRandom(t *testing.T) {
avl := New(utils.IntComparator)
godsavl := avltree.NewWithIntComparator()
content := ""
m := make(map[int]int)
for i := 0; len(m) < 10; i++ {
v := randomdata.Number(0, 10000)
if _, ok := m[v]; !ok {
m[v] = v
content += spew.Sprint(v) + " "
t.Error(v)
avl.Put(v)
t.Error(avl.String())
godsavl.Put(v, v)
}
}
t.Error(godsavl.String())
}
func TestPutComparatorRandom(t *testing.T) {
for n := 0; n < 1000000; n++ {
avl := New(utils.IntComparator)
godsavl := avltree.NewWithIntComparator()
content := ""
m := make(map[int]int)
for i := 0; len(m) < 10; i++ {
v := randomdata.Number(0, 65535)
if _, ok := m[v]; !ok {
m[v] = v
content += spew.Sprint(v) + " "
// t.Error(v)
avl.Put(v)
// t.Error(avl.String())
godsavl.Put(v, v)
}
}
if avl.String() != godsavl.String() {
t.Error(godsavl.String())
t.Error(avl.String())
t.Error(content, n)
break
}
}
// t.Error(content)
// t.Error(avl.String())
// t.Error(godsavl.String())
// t.Error(avl.String() == godsavl.String())
}
func TestGet(t *testing.T) {
avl := New(utils.IntComparator)
for i := 0; i < 15; i++ {
avl.Put(randomdata.Number(0, 1000))
}
t.Error(avl.String())
t.Error(avl.Get(500))
}
func TestRemoveAll(t *testing.T) {
for c := 0; c < 10000; c++ {
// f, _ := os.OpenFile("./out.log", os.O_TRUNC|os.O_CREATE|os.O_RDWR, 0666)
// log.SetOutput(f)
avl := New(utils.IntComparator)
var l []int
for i := 0; i < 100; i++ {
v := randomdata.Number(0, 100000)
l = append(l, v)
avl.Put(v)
}
// defer func() {
// if err := recover(); err != nil {
// panic(avl.String())
// }
// }()
// log.Println(avl.TraversalBreadth())
for i := 0; i < 100; i++ {
// log.Println(l[i])
// log.Println(avl.debugString())
avl.Remove(l[i])
}
}
}
func TestRemove(t *testing.T) {
// avl := New(utils.IntComparator)
// var l []int
// for _, v := range []int{86, 97, 9, 61, 37, 45, 97, 43, 95, 8} {
// l = append(l, v)
// avl.Put(v)
// }
// for i := 0; i < len(l); i++ {
// // log.Println(i)
// log.Println("begin", l[i], avl.debugString())
// avl.Remove(l[i])
// log.Println("end", l[i], avl.debugString())
// }
ALL:
for N := 0; N < 500000; N++ {
avl := New(utils.IntComparator)
gods := avltree.NewWithIntComparator()
var l []int
m := make(map[int]int)
for i := 0; len(l) < 10; i++ {
v := randomdata.Number(0, 100)
if _, ok := m[v]; !ok {
l = append(l, v)
m[v] = v
avl.Put(v)
gods.Put(v, v)
}
}
src1 := avl.String()
src2 := gods.String()
for i := 0; i < 10; i++ {
avl.Remove(l[i])
gods.Remove(l[i])
if spew.Sprint(gods.Values()) != spew.Sprint(avl.TraversalDepth(-1)) && avl.size != 0 {
// if gods.String() != avl.String() && gods.Size() != 0 && avl.size != 0 {
t.Error(src1)
t.Error(src2)
t.Error(avl.debugString())
t.Error(gods.String())
t.Error(l[i])
// t.Error(avl.TraversalDepth(-1))
// t.Error(gods.Values())
break ALL
}
}
}
}
const CompartorSize = 300000
const NumberMax = 60000000
func BenchmarkIterator(b *testing.B) {
avl := New(utils.IntComparator)
b.N = CompartorSize
for i := 0; i < b.N; i++ {
v := randomdata.Number(0, NumberMax)
avl.Put(v)
}
b.ResetTimer()
b.StartTimer()
iter := avl.Iterator()
for iter.Next() {
}
for iter.Prev() {
}
for iter.Next() {
}
}
func BenchmarkGodsIterator(b *testing.B) {
avl := avltree.NewWithIntComparator()
b.N = CompartorSize
for i := 0; i < b.N; i++ {
v := randomdata.Number(0, NumberMax)
avl.Put(v, i)
}
b.ResetTimer()
b.StartTimer()
iter := avl.Iterator()
for iter.Next() {
}
for iter.Prev() {
}
for iter.Next() {
}
}
func BenchmarkRemove(b *testing.B) {
avl := New(utils.IntComparator)
b.N = CompartorSize
var l []int
for i := 0; i < b.N; i++ {
v := randomdata.Number(0, NumberMax)
l = append(l, v)
avl.Put(v)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
avl.Remove(l[i])
}
}
func BenchmarkGodsRemove(b *testing.B) {
avl := avltree.NewWithIntComparator()
b.N = CompartorSize
var l []int
for i := 0; i < b.N; i++ {
v := randomdata.Number(0, NumberMax)
l = append(l, v)
avl.Put(v, v)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
avl.Remove(l[i])
}
}
func BenchmarkGoGet(b *testing.B) {
avl := make(map[int]int)
b.N = CompartorSize
for i := 0; i < b.N; i++ {
avl[randomdata.Number(0, NumberMax)] = i
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
var v int
var ok bool
for i := 0; i < b.N; i++ {
v, ok = avl[randomdata.Number(0, NumberMax)]
}
if ok && v == 1 {
v = 1
}
}
func BenchmarkGet(b *testing.B) {
avl := New(utils.IntComparator)
b.N = CompartorSize
for i := 0; i < b.N/2; i++ {
avl.Put(randomdata.Number(0, NumberMax))
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
avl.Get(randomdata.Number(0, NumberMax))
}
}
func BenchmarkGodsRBGet(b *testing.B) {
rb := redblacktree.NewWithIntComparator()
b.N = CompartorSize
for i := 0; i < b.N/2; i++ {
rb.Put(randomdata.Number(0, NumberMax), i)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
rb.Get(randomdata.Number(0, NumberMax))
}
}
func BenchmarkGodsAvlGet(b *testing.B) {
rb := avltree.NewWithIntComparator()
b.N = CompartorSize
for i := 0; i < b.N/2; i++ {
rb.Put(randomdata.Number(0, NumberMax), i)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
rb.Get(randomdata.Number(0, NumberMax))
}
}
func BenchmarkGoPut(b *testing.B) {
avl := make(map[int]int)
for i := 0; i < 100000; i++ {
avl[randomdata.Number(0, NumberMax)] = i
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
for i := 0; i < b.N; i++ {
avl[randomdata.Number(0, NumberMax)] = i
}
log.Println(avl[12])
}
func BenchmarkGodsHashmap(b *testing.B) {
avl := hashmap.New()
b.N = CompartorSize * 10
for i := 0; i < b.N; i++ {
avl.Put(randomdata.Number(0, NumberMax), i)
}
// b.ResetTimer()
// b.StartTimer()
// b.N = CompartorSize
// for i := 0; i < b.N; i++ {
// avl[randomdata.Number(0, NumberMax)] = i
// }
}
func BenchmarkPut(b *testing.B) {
avl := New(utils.IntComparator)
for i := 0; i < 100000; i++ {
avl.Put(randomdata.Number(0, NumberMax))
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
for i := 0; i < b.N; i++ {
avl.Put(randomdata.Number(0, NumberMax))
}
}
func BenchmarkGodsRBPut(b *testing.B) {
rb := redblacktree.NewWithIntComparator()
for i := 0; i < 100000; i++ {
rb.Put(randomdata.Number(0, NumberMax), i)
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
for i := 0; i < b.N; i++ {
rb.Put(randomdata.Number(0, NumberMax), i)
}
}
func BenchmarkGodsPut(b *testing.B) {
avl := avltree.NewWithIntComparator()
for i := 0; i < 100000; i++ {
avl.Put(randomdata.Number(0, NumberMax), i)
}
b.ResetTimer()
b.StartTimer()
b.N = CompartorSize
for i := 0; i < b.N; i++ {
avl.Put(randomdata.Number(0, NumberMax), i)
}
}

145
avlkey/iterator.go Normal file
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@ -0,0 +1,145 @@
package avl
import (
"474420502.top/eson/structure/lastack"
)
type Iterator struct {
op *AVL
dir int
up *Node
cur *Node
tstack *lastack.Stack
// curnext *Node
}
func initIterator(avltree *AVL) *Iterator {
iter := &Iterator{op: avltree, tstack: lastack.New()}
iter.up = avltree.root
return iter
}
func (iter *Iterator) Value() interface{} {
return iter.cur.value
}
func (iter *Iterator) Left() bool {
if iter.cur.children[0] != nil {
iter.dir = 0
iter.cur = iter.cur.children[0]
return true
}
return false
}
func (iter *Iterator) Right() bool {
if iter.cur.children[1] != nil {
iter.dir = 0
iter.cur = iter.cur.children[1]
return true
}
return false
}
func (iter *Iterator) Prev() (result bool) {
if iter.dir > -1 {
if iter.dir == 1 && iter.cur != nil {
iter.tstack.Clear()
iter.curPushPrevStack(iter.cur)
iter.up = iter.getPrevUp(iter.cur)
}
iter.dir = -1
}
if iter.tstack.Size() == 0 {
if iter.up == nil {
return false
}
iter.tstack.Push(iter.up)
iter.up = iter.getPrevUp(iter.up)
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushPrevStack(iter.cur)
return true
}
return false
}
func (iter *Iterator) Next() (result bool) {
if iter.dir < 1 { // 非 1(next 方向定义 -1 为 prev)
if iter.dir == -1 && iter.cur != nil { // 如果上次为prev方向, 则清空辅助计算的栈
iter.tstack.Clear()
iter.curPushNextStack(iter.cur) // 把当前cur计算的逆向回朔
iter.up = iter.getNextUp(iter.cur) // cur 寻找下个要计算up
}
iter.dir = 1
}
// 如果栈空了, 把up的递归计算入栈, 重新计算 下次的up值
if iter.tstack.Size() == 0 {
if iter.up == nil {
return false
}
iter.tstack.Push(iter.up)
iter.up = iter.getNextUp(iter.up)
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushNextStack(iter.cur)
return true
}
// 如果再次计算的栈为空, 则只能返回false
return false
}
func (iter *Iterator) getNextUp(cur *Node) *Node {
for cur != nil {
if cur.child == 1 { // next 在 降序 小值. 如果child在右边, parent 比 child 小, parent才有效, 符合降序
return cur.parent
}
cur = cur.parent
}
return nil
}
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 {
iter.tstack.Push(next)
for next.children[1] != nil {
next = next.children[1]
iter.tstack.Push(next) // 入栈 用于回溯
}
}
}
func (iter *Iterator) getPrevUp(cur *Node) *Node {
for cur != nil {
if cur.child == 0 { // Prev 在 降序 大值. 如果child在左边, parent 比 child 大, parent才有效 , 符合降序
return cur.parent
}
cur = cur.parent
}
return nil
}
func (iter *Iterator) curPushPrevStack(cur *Node) {
prev := cur.children[1]
if prev != nil {
iter.tstack.Push(prev)
for prev.children[0] != nil {
prev = prev.children[0]
iter.tstack.Push(prev)
}
}
}