add priority_queuekey

This commit is contained in:
huangsimin 2019-04-09 19:24:33 +08:00
parent ec62cfe28a
commit 2c838ae3f1
5 changed files with 2280 additions and 0 deletions

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package pqueue
import (
"474420502.top/eson/structure/lastack"
)
type Iterator struct {
dir int
up *Node
cur *Node
tstack *lastack.Stack
// curnext *Node
}
func initIterator(avltree *vbTree) *Iterator {
iter := &Iterator{tstack: lastack.New()}
iter.up = avltree.root
return iter
}
func NewIterator(n *Node) *Iterator {
iter := &Iterator{tstack: lastack.New()}
iter.up = n
return iter
}
func NewIteratorWithCap(n *Node, cap int) *Iterator {
iter := &Iterator{tstack: lastack.NewWithCap(cap)}
iter.up = n
return iter
}
func (iter *Iterator) SeNode(n *Node) {
iter.up = n
iter.dir = 0
iter.tstack.Clear()
}
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) GetNext(cur *Node, idx int) *Node {
// iter := NewIterator(cur)
iter.SeNode(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) {
if iter.dir > -1 {
if iter.dir == 1 && iter.cur != nil {
iter.tstack.Clear()
iter.curPushNextStack(iter.cur)
iter.up = iter.getNextUp(iter.cur)
}
iter.dir = -1
}
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
}
return false
}
func (iter *Iterator) GetPrev(cur *Node, idx int) *Node {
// iter := NewIterator(cur)
iter.SeNode(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 { // 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.curPushPrevStack(iter.cur) // 把当前cur计算的逆向回朔
iter.up = iter.getPrevUp(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.getPrevUp(iter.up)
}
if v, ok := iter.tstack.Pop(); ok {
iter.cur = v.(*Node)
iter.curPushPrevStack(iter.cur)
return true
}
// 如果再次计算的栈为空, 则只能返回false
return false
}
func getRelationship(cur *Node) int {
if cur.parent.children[1] == cur {
return 1
}
return 0
}
func (iter *Iterator) getPrevUp(cur *Node) *Node {
for cur.parent != nil {
if getRelationship(cur) == 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) curPushPrevStack(cur *Node) {
Prev := 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 Prev != nil {
iter.tstack.Push(Prev)
for Prev.children[1] != nil {
Prev = Prev.children[1]
iter.tstack.Push(Prev) // 入栈 用于回溯
}
}
}
func (iter *Iterator) getNextUp(cur *Node) *Node {
for cur.parent != nil {
if getRelationship(cur) == 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) curPushNextStack(cur *Node) {
next := cur.children[1]
if next != nil {
iter.tstack.Push(next)
for next.children[0] != nil {
next = next.children[0]
iter.tstack.Push(next)
}
}
}

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package pqueue
import "474420502.top/eson/structure/compare"
type PriorityQueue struct {
queue *vbTree
}
func (pq *PriorityQueue) Iterator() *Iterator {
return NewIterator(pq.queue.top)
}
func New(Compare compare.Compare) *PriorityQueue {
return &PriorityQueue{queue: newVBT(Compare)}
}
func (pq *PriorityQueue) Size() int {
return pq.queue.Size()
}
func (pq *PriorityQueue) Push(key, value interface{}) {
pq.queue.Put(key, value)
}
func (pq *PriorityQueue) Top() (result interface{}, ok bool) {
if pq.queue.top != nil {
return pq.queue.top.value, true
}
return nil, false
}
func (pq *PriorityQueue) Pop() (result interface{}, ok bool) {
if pq.queue.top != nil {
result = pq.queue.top.value
pq.queue.removeNode(pq.queue.top)
return result, true
}
return nil, false
}
func (pq *PriorityQueue) Index(idx int) (interface{}, bool) {
return pq.queue.Index(idx)
}
func (pq *PriorityQueue) IndexNode(idx int) (*Node, bool) {
n := pq.queue.indexNode(idx)
return n, n != nil
}
func (pq *PriorityQueue) Get(key interface{}) (interface{}, bool) {
return pq.queue.Get(key)
}
func (pq *PriorityQueue) GetNode(key interface{}) (*Node, bool) {
return pq.queue.GetNode(key)
}
func (pq *PriorityQueue) GetAround(key interface{}) [3]interface{} {
return pq.queue.GetAround(key)
}
func (pq *PriorityQueue) GetAroundNode(key interface{}) [3]*Node {
return pq.queue.getArounNode(key)
}
func (pq *PriorityQueue) GetRange(k1, k2 interface{}) []interface{} {
return pq.queue.GetRange(k1, k2)
}
func (pq *PriorityQueue) RemoveIndex(idx int) (interface{}, bool) {
return pq.queue.RemoveIndex(idx)
}
func (pq *PriorityQueue) Remove(key interface{}) (interface{}, bool) {
return pq.queue.Remove(key)
}
func (pq *PriorityQueue) Values() []interface{} {
return pq.queue.Values()
}

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package pqueue
import (
"testing"
"github.com/davecgh/go-spew/spew"
"474420502.top/eson/structure/compare"
)
func TestQueuePush(t *testing.T) {
pq := New(compare.Int)
for _, v := range []int{32, 10, 53, 78, 90, 1, 4} {
pq.Push(v, v)
if v, ok := pq.Top(); ok {
} else {
t.Error(v)
}
}
if v, ok := pq.Top(); ok {
if v != 90 {
t.Error(v)
}
} else {
t.Error(v)
}
}
func TestQueuePop(t *testing.T) {
pq := New(compare.Int)
for _, v := range []int{32, 10, 53, 78, 90, 1, 4} {
pq.Push(v, v)
if v, ok := pq.Top(); ok {
} else {
t.Error(v)
}
}
l := []int{90, 78, 53, 32, 10, 4, 1}
for _, lv := range l {
if v, ok := pq.Pop(); ok {
if v != lv {
t.Error(v)
}
} else {
t.Error(v)
}
}
if v, ok := pq.Pop(); ok {
t.Error(v)
}
}
func TestQueueGet(t *testing.T) {
pq := New(compare.Int)
l := []int{32, 10, 53, 78, 90, 1, 4}
for _, v := range l {
pq.Push(v, v)
}
if v, ok := pq.Get(0); ok {
t.Error(v)
}
if v, ok := pq.Get(70); ok {
t.Error(v)
}
for _, v := range l {
if gv, ok := pq.Get(v); ok {
if gv != v {
t.Error("Get value is error, value is", gv)
}
}
}
}
func TestQueueGetRange(t *testing.T) {
pq := New(compare.Int)
l := []int{32, 10, 53, 78, 90, 1, 4}
for _, v := range l {
pq.Push(v, v)
}
var result string
result = spew.Sprint(pq.GetRange(10, 40))
if result != "[10 32]" {
t.Error(result)
}
result = spew.Sprint(pq.GetRange(1, 90))
if result != "[1 4 10 32 53 78 90]" {
t.Error(result)
}
result = spew.Sprint(pq.GetRange(0, 90))
if result != "[1 4 10 32 53 78 90]" {
t.Error(result)
}
result = spew.Sprint(pq.GetRange(1, 100))
if result != "[1 4 10 32 53 78 90]" {
t.Error(result)
}
result = spew.Sprint(pq.GetRange(5, 88))
if result != "[10 32 53 78]" {
t.Error(result)
}
}
func TestQueueGetAround(t *testing.T) {
pq := New(compare.Int)
l := []int{32, 10, 53, 78, 90, 1, 4}
for _, v := range l {
pq.Push(v, v)
}
var result string
result = spew.Sprint(pq.GetAround(53))
if result != "[32 53 78]" {
t.Error(result)
}
result = spew.Sprint(pq.GetAround(52))
if result != "[32 <nil> 53]" {
t.Error(result)
}
result = spew.Sprint(pq.GetAround(1))
if result != "[<nil> 1 4]" {
t.Error(result)
}
result = spew.Sprint(pq.GetAround(90))
if result != "[78 90 <nil>]" {
t.Error(result)
}
result = spew.Sprint(pq.GetAround(0))
if result != "[<nil> <nil> 1]" {
t.Error(result)
}
result = spew.Sprint(pq.GetAround(100))
if result != "[90 <nil> <nil>]" {
t.Error(result)
}
}
func TestQueueRemove(t *testing.T) {
pq := New(compare.Int)
l := []int{32, 10, 53, 78, 90, 1, 4}
for _, v := range l {
pq.Push(v, v)
}
content := ""
for _, v := range l {
pq.Remove(v)
content += spew.Sprint(pq.Values())
}
if content != "[1 4 10 53 78 90][1 4 53 78 90][1 4 78 90][1 4 90][1 4][4][]" {
t.Error(content)
}
}
func TestQueueRemoveIndex(t *testing.T) {
pq := New(compare.Int)
l := []int{32, 10, 53, 78, 90, 1, 4}
for _, v := range l {
pq.Push(v, v)
}
content := ""
for range l {
pq.RemoveIndex(0)
content += spew.Sprint(pq.Values())
}
if content != "[1 4 10 32 53 78][1 4 10 32 53][1 4 10 32][1 4 10][1 4][1][]" {
t.Error(content)
}
if n, ok := pq.RemoveIndex(0); ok {
t.Error("pq is not exist elements", n)
}
}
func TestQueueIndex(t *testing.T) {
pq := New(compare.Int)
for _, v := range []int{32, 10, 53, 78, 90, 1, 4} {
pq.Push(v, v)
}
l := []int{90, 78, 53, 32, 10, 4, 1}
for i, lv := range l {
if v, ok := pq.Index(len(l) - i - 1); ok {
if v != l[len(l)-i-1] {
t.Error(v)
}
} else {
t.Error(i, "index is not exist")
}
if v, ok := pq.Index(i); ok {
if v != lv {
t.Error(v)
}
} else {
t.Error(i, "index is not exist")
}
}
if v, ok := pq.Index(-1); ok {
if v != 1 {
t.Error(v)
}
} else {
t.Error("-1 index is not exist")
}
if v, ok := pq.Index(pq.Size()); ok {
t.Error("index is exits", pq.Size(), v)
}
if v, ok := pq.Index(pq.Size() - 1); !ok {
if v != 1 {
t.Error("the last value is 1 not is ", v)
}
}
if v, ok := pq.Index(-10); ok {
t.Error("-10 index is exits", v)
}
}
func BenchmarkQueueGet(b *testing.B) {
l := loadTestData()
pq := New(compare.Int)
for _, v := range l {
pq.Push(v, v)
}
execCount := 5
b.N = len(l) * execCount
b.ResetTimer()
b.StartTimer()
ALL:
for i := 0; i < execCount; i++ {
for _, v := range l {
if gv, ok := pq.Get(v); !ok {
b.Error(gv)
break ALL
}
}
}
}
func BenchmarkQueueRemove(b *testing.B) {
l := loadTestData()
pq := New(compare.Int)
for _, v := range l {
pq.Push(v, v)
}
b.N = len(l)
b.ResetTimer()
b.StartTimer()
for _, v := range l {
pq.Remove(v)
}
}
func BenchmarkQueueIndex(b *testing.B) {
l := loadTestData()
pq := New(compare.Int)
for _, v := range l {
pq.Push(v, v)
}
execCount := 2
b.N = len(l) * execCount
b.ResetTimer()
b.StartTimer()
ALL:
for i := 0; i < execCount; i++ {
for idx := range l {
if v, ok := pq.Index(idx); !ok {
b.Error(v)
break ALL
}
}
}
}
func BenchmarkPriorityPush(b *testing.B) {
l := loadTestData()
execCount := 5
b.N = len(l) * execCount
b.ResetTimer()
b.StartTimer()
for i := 0; i < execCount; i++ {
pq := New(compare.Int)
for _, v := range l {
pq.Push(v, v)
}
}
}
func BenchmarkPriorityPop(b *testing.B) {
l := loadTestData()
pq := New(compare.Int)
for _, v := range l {
pq.Push(v, v)
}
b.N = len(l)
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
pq.Pop()
}
}

967
priority_queuekey/vbt.go Normal file
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package pqueue
import (
"474420502.top/eson/structure/compare"
"github.com/davecgh/go-spew/spew"
)
type Node struct {
children [2]*Node
parent *Node
size int
key, 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.size) + ")"
}
type vbTree struct {
root *Node
Compare compare.Compare
top *Node
iter *Iterator
}
func newVBT(Compare compare.Compare) *vbTree {
return &vbTree{Compare: Compare, iter: NewIteratorWithCap(nil, 16)}
}
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() *Iterator {
return initIterator(tree)
}
func (tree *vbTree) Size() int {
if tree.root == nil {
return 0
}
return tree.root.size
}
func (tree *vbTree) indexNode(idx int) *Node {
cur := tree.root
if idx >= 0 {
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]
}
}
} else {
idx = -idx - 1
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]
}
}
}
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)
tree.iter.SeNode(n)
iter := tree.iter
result = make([]interface{}, 0, idx1-idx2)
for i := idx2; i <= idx1; i++ {
if iter.Next() {
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 {
tree.iter.SeNode(n)
iter := tree.iter
result = make([]interface{}, 0, idx2-idx1)
for i := idx1; i <= idx2; i++ {
if iter.Prev() {
result = append(result, iter.Value())
} else {
ok = false
return
}
}
return
}
}
return nil, false
}
func (tree *vbTree) RemoveIndex(idx int) (interface{}, bool) {
n := tree.indexNode(idx)
if n != nil {
tree.removeNode(n)
return n.value, true
}
return nil, false
}
func (tree *vbTree) removeNode(n *Node) {
if tree.root.size == 1 {
tree.root = nil
tree.top = nil
// return n
return
}
if tree.top == n {
tree.top = tree.iter.GetPrev(n, 1)
}
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 *Node
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
// 修改为interface 交换
// n.value, cur.value = cur.value, n.value
tree.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 {
tree.fixSizeWithRemove(cur)
} else {
tree.fixSizeWithRemove(cparent)
}
// return cur
return
}
func (tree *vbTree) Remove(key interface{}) (interface{}, bool) {
if n, ok := tree.GetNode(key); ok {
tree.removeNode(n)
return n.value, true
}
// return nil
return nil, 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(k, 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 *Node
resultmin := tree.getArounNode(k1)
resultmax := tree.getArounNode(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)
tree.iter.SeNode(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.getArounNode(k2)
resultmax := tree.getArounNode(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)
tree.iter.SeNode(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 *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.getArounNode(key)
for i, n := range an {
if n != nil {
result[i] = n.value
}
}
return
}
func (tree *vbTree) getArounNode(key interface{}) (result [3]*Node) {
var last *Node
var lastc int
for n := tree.root; n != nil; {
last = n
c := tree.Compare(key, n.key)
switch c {
case -1:
n = n.children[0]
lastc = c
case 1:
n = n.children[1]
lastc = c
case 0:
tree.iter.SeNode(n)
iter := tree.iter
iter.Prev()
for iter.Prev() {
if tree.Compare(iter.cur.key, n.key) == 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] = 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 *vbTree) GetNode(key interface{}) (*Node, bool) {
for n := tree.root; n != nil; {
switch c := tree.Compare(key, n.key); c {
case -1:
n = n.children[0]
case 1:
n = n.children[1]
case 0:
tree.iter.SeNode(n)
iter := tree.iter
iter.Prev()
for iter.Prev() {
if tree.Compare(iter.cur.key, n.key) == 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, value interface{}) {
Node := &Node{key: key, value: value, size: 1}
if tree.root == nil {
tree.root = Node
tree.top = Node
return
}
if tree.Compare(key, tree.top.key) > 0 {
tree.top = Node
}
for cur := tree.root; ; {
if cur.size > 8 {
factor := cur.size / 10 // or factor = 1
ls, rs := cur.children[0].size, cur.children[1].size
if rs >= ls*2+factor || ls >= rs*2+factor {
cur = tree.fixSize(cur, ls, rs)
}
}
cur.size++
c := tree.Compare(key, cur.key)
if c < 0 {
if cur.children[0] == nil {
cur.children[0] = Node
Node.parent = cur
if cur.parent != nil && cur.parent.size == 3 {
if cur.parent.children[0] == nil {
tree.lrrotate3(cur.parent)
} else {
tree.rrotate3(cur.parent)
}
}
return
}
cur = cur.children[0]
} else {
if cur.children[1] == nil {
cur.children[1] = Node
Node.parent = cur
if cur.parent != nil && cur.parent.size == 3 {
if cur.parent.children[1] == nil {
tree.rlrotate3(cur.parent)
} else {
tree.lrotate3(cur.parent)
}
}
return
}
cur = cur.children[1]
}
}
}
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(k, 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.key, 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.key, 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.key, 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.key, 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.key, 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.key, cur.value) {
return false
}
return true
}
traverasl(tree.root)
}
}
func setChildNotNil(cur *Node, cidx int, child *Node) {
cur.children[cidx] = child
cur.children[cidx].parent = cur
}
func setChild(cur *Node, cidx int, child *Node) {
cur.children[cidx] = child
if child != nil {
cur.children[cidx].parent = cur
}
}
func (tree *vbTree) replace(old, new *Node) {
setChild(new, 0, old.children[0])
setChild(new, 1, old.children[1])
if old.parent == nil {
tree.root = new
} else {
if old.parent.children[1] == old {
old.parent.children[1] = new
} else {
old.parent.children[0] = new
}
}
new.size = old.size
new.parent = old.parent
}
func (tree *vbTree) takeParent(token, person *Node) {
if token.parent == nil {
tree.root = person
} else {
if token.parent.children[1] == token {
token.parent.children[1] = person
} else {
token.parent.children[0] = person
}
}
person.parent = token.parent
}
func (tree *vbTree) lrrotate3(cur *Node) *Node {
const l = 1
const r = 0
ln := cur.children[l]
cur.children[l] = nil
lrn := ln.children[r]
ln.children[r] = nil
tree.takeParent(cur, lrn)
setChildNotNil(lrn, l, ln)
setChildNotNil(lrn, r, cur)
lrn.size = 3
lrn.children[l].size = 1
lrn.children[r].size = 1
return lrn
}
func (tree *vbTree) lrrotate(cur *Node) *Node {
const l = 1
const r = 0
ln := cur.children[l]
lrn := ln.children[r]
lrln := lrn.children[l]
lrrn := lrn.children[r]
tree.takeParent(cur, lrn)
setChild(ln, r, lrln)
setChild(cur, l, lrrn)
setChildNotNil(lrn, l, ln)
setChildNotNil(lrn, r, cur)
ln.size = getChildrenSumSize(ln) + 1
cur.size = getChildrenSumSize(cur) + 1
lrn.size = getChildrenSumSize(lrn) + 1
return lrn
}
func (tree *vbTree) rlrotate3(cur *Node) *Node {
const l = 0
const r = 1
ln := cur.children[l]
cur.children[l] = nil
lrn := ln.children[r]
ln.children[r] = nil
tree.takeParent(cur, lrn)
setChildNotNil(lrn, l, ln)
setChildNotNil(lrn, r, cur)
lrn.size = 3
lrn.children[l].size = 1
lrn.children[r].size = 1
return lrn
}
func (tree *vbTree) rlrotate(cur *Node) *Node {
const l = 0
const r = 1
ln := cur.children[l]
lrn := ln.children[r]
lrln := lrn.children[l]
lrrn := lrn.children[r]
tree.takeParent(cur, lrn)
setChild(ln, r, lrln)
setChild(cur, l, lrrn)
setChildNotNil(lrn, l, ln)
setChildNotNil(lrn, r, cur)
ln.size = getChildrenSumSize(ln) + 1
cur.size = getChildrenSumSize(cur) + 1
lrn.size = getChildrenSumSize(lrn) + 1
return lrn
}
func (tree *vbTree) rrotate3(cur *Node) *Node {
const l = 0
const r = 1
// 1 right 0 left
mov := cur.children[l]
cur.children[l] = nil
tree.takeParent(cur, mov)
setChildNotNil(mov, r, cur)
mov.size = 3
cur.size = 1
return mov
}
func (tree *vbTree) rrotate(cur *Node) *Node {
const l = 0
const r = 1
// 1 right 0 left
ln := cur.children[l]
lrn := ln.children[r]
tree.takeParent(cur, ln)
setChild(cur, l, lrn)
setChildNotNil(ln, r, cur)
cur.size = getChildrenSumSize(cur) + 1
ln.size = getChildrenSumSize(ln) + 1
return ln
}
func (tree *vbTree) lrotate3(cur *Node) *Node {
const l = 1
const r = 0
// 1 right 0 left
mov := cur.children[l]
cur.children[l] = nil
tree.takeParent(cur, mov)
setChildNotNil(mov, r, cur)
mov.size = 3
cur.size = 1
return mov
}
func (tree *vbTree) lrotate(cur *Node) *Node {
const l = 1
const r = 0
// 1 right 0 left
ln := cur.children[l]
lrn := ln.children[r]
tree.takeParent(cur, ln)
setChild(cur, l, lrn)
setChildNotNil(ln, r, cur)
cur.size = getChildrenSumSize(cur) + 1
ln.size = getChildrenSumSize(ln) + 1
return ln
}
func getChildrenSumSize(cur *Node) int {
return getSize(cur.children[0]) + getSize(cur.children[1])
}
func getChildrenSize(cur *Node) (int, int) {
return getSize(cur.children[0]), getSize(cur.children[1])
}
func getSize(cur *Node) int {
if cur == nil {
return 0
}
return cur.size
}
func (tree *vbTree) fixSizeWithRemove(cur *Node) {
for cur != nil {
cur.size--
if cur.size > 8 {
factor := cur.size / 10 // or factor = 1
ls, rs := getChildrenSize(cur)
if rs >= ls*2+factor || ls >= rs*2+factor {
cur = tree.fixSize(cur, ls, rs)
}
}
cur = cur.parent
}
}
func (tree *vbTree) fixSize(cur *Node, ls, rs int) *Node {
if ls > rs {
llsize, lrsize := getChildrenSize(cur.children[0])
if lrsize > llsize {
return tree.rlrotate(cur)
}
return tree.rrotate(cur)
} else {
rlsize, rrsize := getChildrenSize(cur.children[1])
if rlsize > rrsize {
return tree.lrrotate(cur)
}
return tree.lrotate(cur)
}
}
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.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
}

View File

@ -0,0 +1,656 @@
package pqueue
import (
"bytes"
"encoding/gob"
"io/ioutil"
"log"
"testing"
"474420502.top/eson/structure/compare"
"github.com/huandu/skiplist"
"github.com/Pallinder/go-randomdata"
"github.com/davecgh/go-spew/spew"
"github.com/emirpasic/gods/trees/avltree"
"github.com/emirpasic/gods/trees/redblacktree"
)
func loadTestData() []int {
data, err := ioutil.ReadFile("../l.log")
if err != nil {
log.Println(err)
}
var l []int
decoder := gob.NewDecoder(bytes.NewReader(data))
decoder.Decode(&l)
return l
}
func TestIndexRange(t *testing.T) {
tree := newVBT(compare.Int)
l := []int{7, 14, 14, 14, 16, 17, 20, 30, 21, 40, 50, 3, 40, 40, 40, 15}
for _, v := range l {
tree.Put(v, v)
}
// [3 7 14 14 14 15 16 17 20 21 30 40 40 40 40 50]
// t.Error(tree.Values(), tree.Size())
var result string
result = spew.Sprint(tree.IndexRange(0, 5))
if result != "[50 40 40 40 40 30] true" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(2, 5))
if result != "[40 40 40 30] true" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(10, 100))
if result != "[15 14 14 14 7 3] false" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(15, 0)) // size = 16, index max = 15
if result != "[3 7 14 14 14 15 16 17 20 21 30 40 40 40 40 50] true" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(16, 0)) // size = 16, index max = 15
if result != "[3 7 14 14 14 15 16 17 20 21 30 40 40 40 40 50] false" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(5, 1)) // size = 16, index max = 15
if result != "[30 40 40 40 40] true" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(-1, -5)) // size = 16, index max = 15
if result != "[3 7 14 14 14] true" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(-1, -16)) // size = 16, index max = 0 - 15 (-1,-16)
if result != "[3 7 14 14 14 15 16 17 20 21 30 40 40 40 40 50] true" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(-1, -17)) // size = 16, index max = 0 - 15 (-1,-16)
if result != "[3 7 14 14 14 15 16 17 20 21 30 40 40 40 40 50] false" {
t.Error(result)
}
result = spew.Sprint(tree.IndexRange(-5, -1)) // size = 16, index max = 0 - 15 (-1,-16)
if result != "[14 14 14 7 3] true" {
t.Error(result)
}
}
func TestGetAround(t *testing.T) {
tree := newVBT(compare.Int)
for _, v := range []int{7, 14, 14, 14, 16, 17, 20, 30, 21, 40, 50, 3, 40, 40, 40, 15} {
tree.Put(v, v)
}
var Result string
Result = spew.Sprint(tree.GetAround(17))
if Result != "[16 17 20]" {
t.Error(tree.Values())
t.Error("17 is root, tree.GetAround(17)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(3))
if Result != "[<nil> 3 7]" {
t.Error(tree.Values())
t.Error("tree.GetAround(3)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(40))
if Result != "[30 40 40]" {
t.Error(tree.Values())
t.Error("tree.GetAround(40)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(50))
if Result != "[40 50 <nil>]" {
t.Error(tree.Values())
t.Error("tree.GetAround(50)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(18))
if Result != "[17 <nil> 20]" {
t.Error(tree.Values())
t.Error("18 is not in list, tree.GetAround(18)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(5))
if Result != "[3 <nil> 7]" {
t.Error(tree.Values())
t.Error("5 is not in list, tree.GetAround(5)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(2))
if Result != "[<nil> <nil> 3]" {
t.Error(tree.Values())
t.Error("2 is not in list, tree.GetAround(2)) is error", Result)
t.Error(tree.debugString())
}
Result = spew.Sprint(tree.GetAround(100))
if Result != "[50 <nil> <nil>]" {
t.Error(tree.Values())
t.Error("50 is not in list, tree.GetAround(50)) is error", Result)
t.Error(tree.debugString())
}
}
// // for test error case
func TestPutStable(t *testing.T) {
// tree := newVBT(compare.Int)
// for i := 0; i < 40; i++ {
// v := randomdata.Number(0, 100)
// tree.Put(v,v)
// t.Error(tree.top, v)
// // t.Error(i, v)
// // t.Error(tree.debugString())
// }
// for i := 0; i < 40; i++ {
// v, _ := tree.Index(0)
// tree.RemoveIndex(0)
// t.Error(i, v)
// if tree.top != nil {
// t.Error(tree.top)
// }
// }
}
func TestPutComparatorRandom(t *testing.T) {
for n := 0; n < 30000; n++ {
tree := newVBT(compare.Int)
godsavl := avltree.NewWithIntComparator()
content := ""
m := make(map[int]int)
for i := 0; len(m) < 50; i++ {
v := randomdata.Number(0, 65535)
if _, ok := m[v]; !ok {
m[v] = v
content += spew.Sprint(v) + ","
tree.Put(v, v)
godsavl.Put(v, v)
}
}
s1 := spew.Sprint(tree.Values())
s2 := spew.Sprint(godsavl.Values())
if s1 != s2 {
t.Error(godsavl.String())
t.Error(tree.debugString())
t.Error(content, n)
break
}
}
}
func TestGet(t *testing.T) {
tree := newVBT(compare.Int)
for _, v := range []int{2383, 7666, 3055, 39016, 57092, 27897, 36513, 1562, 22574, 23202} {
tree.Put(v, v)
}
for _, v := range []int{2383, 7666, 3055, 39016, 57092, 27897, 36513, 1562, 22574, 23202} {
v, ok := tree.Get(v)
if !ok {
t.Error("the val not found ", v)
}
}
if v, ok := tree.Get(10000); ok {
t.Error("the val(1000) is not in tree, but is found", v)
}
}
func TestGetRange(t *testing.T) {
tree := newVBT(compare.Int)
for _, v := range []int{5, 6, 8, 10, 13, 17, 1, 2, 40, 30} {
tree.Put(v, v)
}
// t.Error(tree.debugString())
// t.Error(tree.getArountNode(20))
// t.Error(tree.Values())
result := tree.GetRange(0, 20)
if spew.Sprint(result) != "[1 2 5 6 8 10 13 17]" {
t.Error(result)
}
result = tree.GetRange(-5, -1)
if spew.Sprint(result) != "[]" {
t.Error(result)
}
result = tree.GetRange(7, 20)
if spew.Sprint(result) != "[8 10 13 17]" {
t.Error(result)
}
result = tree.GetRange(30, 40)
if spew.Sprint(result) != "[30 40]" {
t.Error(result)
}
result = tree.GetRange(30, 60)
if spew.Sprint(result) != "[30 40]" {
t.Error(result)
}
result = tree.GetRange(40, 40)
if spew.Sprint(result) != "[40]" {
t.Error(result)
}
result = tree.GetRange(50, 60)
if spew.Sprint(result) != "[]" {
t.Error(result)
}
result = tree.GetRange(50, 1)
if spew.Sprint(result) != "[40 30 17 13 10 8 6 5 2 1]" {
t.Error(result)
}
result = tree.GetRange(30, 20)
if spew.Sprint(result) != "[30]" {
t.Error(result)
}
}
func TestTravalsal(t *testing.T) {
tree := newVBT(compare.Int)
for _, v := range []int{5, 6, 8, 10, 13, 17, 1, 2, 40, 30} {
tree.Put(v, v)
}
i := 0
var result []interface{}
tree.Traversal(func(k, v interface{}) bool {
result = append(result, v)
i++
if i >= 10 {
return false
}
return true
})
if spew.Sprint(result) != "[1 2 5 6 8 10 13 17 30 40]" {
t.Error(result)
}
}
func TestRemoveAll(t *testing.T) {
ALL:
for c := 0; c < 20000; c++ {
tree := newVBT(compare.Int)
gods := avltree.NewWithIntComparator()
var l []int
m := make(map[int]int)
for i := 0; len(l) < 50; i++ {
v := randomdata.Number(0, 65535)
if _, ok := m[v]; !ok {
m[v] = v
l = append(l, v)
tree.Put(v, v)
gods.Put(v, v)
}
}
for i := 0; i < 50; i++ {
tree.Remove(l[i])
gods.Remove(l[i])
s1 := spew.Sprint(tree.Values())
s2 := spew.Sprint(gods.Values())
if s1 != s2 {
t.Error("avl remove error", "avlsize = ", tree.Size())
t.Error(tree.root, i, l[i])
t.Error(s1)
t.Error(s2)
break ALL
}
}
}
}
func TestRemove(t *testing.T) {
ALL:
for N := 0; N < 5000; N++ {
tree := newVBT(compare.Int)
gods := avltree.NewWithIntComparator()
var l []int
m := make(map[int]int)
for i := 0; len(l) < 20; i++ {
v := randomdata.Number(0, 100)
if _, ok := m[v]; !ok {
l = append(l, v)
m[v] = v
tree.Put(v, v)
gods.Put(v, v)
}
}
src1 := tree.String()
src2 := gods.String()
for i := 0; i < 20; i++ {
tree.Remove(l[i])
gods.Remove(l[i])
if tree.root != nil && spew.Sprint(gods.Values()) != spew.Sprint(tree.Values()) {
t.Error(src1)
t.Error(src2)
t.Error(tree.debugString())
t.Error(gods.String())
t.Error(l[i])
break ALL
}
}
}
}
func BenchmarkSkipListGet(b *testing.B) {
sl := skiplist.New(skiplist.Int)
l := loadTestData()
b.N = len(l)
for _, v := range l {
sl.Set(v, v)
}
b.ResetTimer()
b.StartTimer()
execCount := 5
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
for _, v := range l {
e := sl.Get(v)
var result [50]interface{}
for i := 0; i < 50 && e != nil; i++ {
result[i] = e.Value
e = e.Next()
}
}
}
}
func BenchmarkGetRange(b *testing.B) {
}
func BenchmarkIndexRange(b *testing.B) {
tree := newVBT(compare.Int)
l := loadTestData()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
b.ResetTimer()
b.StartTimer()
execCount := 5
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
for range l {
tree.IndexRange(i, i+49)
}
}
}
func BenchmarkSkipListSet(b *testing.B) {
l := loadTestData()
execCount := 1
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
sl := skiplist.New(skiplist.Int)
for _, v := range l {
sl.Set(v, v)
}
}
}
func BenchmarkIterator(b *testing.B) {
tree := newVBT(compare.Int)
l := loadTestData()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
b.ResetTimer()
b.StartTimer()
iter := tree.Iterator()
b.N = 0
for iter.Next() {
b.N++
}
for iter.Prev() {
b.N++
}
for iter.Next() {
b.N++
}
b.Log(b.N, len(l))
}
func BenchmarkRemove(b *testing.B) {
tree := newVBT(compare.Int)
l := loadTestData()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < len(l); i++ {
tree.Remove(l[i])
}
}
func BenchmarkGodsRemove(b *testing.B) {
tree := avltree.NewWithIntComparator()
l := loadTestData()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < len(l); i++ {
tree.Remove(l[i])
}
}
func BenchmarkGodsRBRemove(b *testing.B) {
tree := redblacktree.NewWithIntComparator()
l := loadTestData()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < len(l); i++ {
tree.Remove(l[i])
}
}
func BenchmarkGet(b *testing.B) {
tree := newVBT(compare.Int)
l := loadTestData()
b.N = len(l)
for i := 0; i < b.N; i++ {
tree.Put(l[i], l[i])
}
b.ResetTimer()
b.StartTimer()
execCount := 5
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
for _, v := range l {
tree.Get(v)
}
}
}
func BenchmarkGodsRBGet(b *testing.B) {
tree := redblacktree.NewWithIntComparator()
l := loadTestData()
b.N = len(l)
for i := 0; i < b.N; i++ {
tree.Put(l[i], i)
}
b.ResetTimer()
b.StartTimer()
execCount := 10
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
for _, v := range l {
tree.Get(v)
}
}
}
func BenchmarkGodsAvlGet(b *testing.B) {
tree := avltree.NewWithIntComparator()
l := loadTestData()
b.N = len(l)
for i := 0; i < b.N; i++ {
tree.Put(l[i], i)
}
b.ResetTimer()
b.StartTimer()
execCount := 10
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
for _, v := range l {
tree.Get(v)
}
}
}
func BenchmarkPut(b *testing.B) {
l := loadTestData()
b.ResetTimer()
b.StartTimer()
execCount := 50
b.N = len(l) * execCount
for i := 0; i < execCount; i++ {
tree := newVBT(compare.Int)
for _, v := range l {
tree.Put(v, v)
}
}
}
func BenchmarkIndex(b *testing.B) {
tree := newVBT(compare.Int)
l := loadTestData()
b.N = len(l)
for i := 0; i < b.N; i++ {
tree.Put(l[i], l[i])
}
b.ResetTimer()
b.StartTimer()
for i := 0; i < b.N; i++ {
tree.Index(i)
}
}
func BenchmarkGodsRBPut(b *testing.B) {
tree := redblacktree.NewWithIntComparator()
l := loadTestData()
b.ResetTimer()
b.StartTimer()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
}
func BenchmarkGodsPut(b *testing.B) {
tree := avltree.NewWithIntComparator()
l := loadTestData()
b.ResetTimer()
b.StartTimer()
b.N = len(l)
for _, v := range l {
tree.Put(v, v)
}
}