895 lines
17 KiB
Go
895 lines
17 KiB
Go
package avldup
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import (
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"github.com/davecgh/go-spew/spew"
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"github.com/474420502/focus/compare"
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"github.com/474420502/focus/tree"
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)
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type Node struct {
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children [2]*Node
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parent *Node
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height int
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value interface{}
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}
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func (n *Node) String() string {
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if n == nil {
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return "nil"
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}
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p := "nil"
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if n.parent != nil {
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p = spew.Sprint(n.parent.value)
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}
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return spew.Sprint(n.value) + "(" + p + "|" + spew.Sprint(n.height) + ")"
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}
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type Tree struct {
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root *Node
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size int
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Compare compare.Compare
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iter *Iterator
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}
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func assertImplementation() {
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var _ tree.IBSTree = (*Tree)(nil)
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}
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func New(Compare compare.Compare) *Tree {
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return &Tree{Compare: Compare, iter: NewIteratorWithCap(nil, 16)}
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}
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func (tree *Tree) String() string {
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if tree.size == 0 {
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return ""
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}
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str := "AVLTree\n"
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output(tree.root, "", true, &str)
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return str
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}
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func (tree *Tree) Size() int {
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return tree.size
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}
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func (tree *Tree) Iterator() *Iterator {
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return initIterator(tree)
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}
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func (tree *Tree) Remove(key interface{}) (interface{}, bool) {
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if n, ok := tree.GetNode(key); ok {
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tree.size--
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if tree.size == 0 {
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tree.root = nil
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return n.value, true
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}
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left := getHeight(n.children[0])
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right := getHeight(n.children[1])
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if left == -1 && right == -1 {
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p := n.parent
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p.children[getRelationship(n)] = nil
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tree.fixRemoveHeight(p)
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return n.value, true
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}
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var cur *Node
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if left > right {
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cur = n.children[0]
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for cur.children[1] != nil {
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cur = cur.children[1]
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}
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cleft := cur.children[0]
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cur.parent.children[getRelationship(cur)] = cleft
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if cleft != nil {
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cleft.parent = cur.parent
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}
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} else {
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cur = n.children[1]
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for cur.children[0] != nil {
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cur = cur.children[0]
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}
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cright := cur.children[1]
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cur.parent.children[getRelationship(cur)] = cright
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if cright != nil {
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cright.parent = cur.parent
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}
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}
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cparent := cur.parent
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// 修改为interface 交换
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n.value, cur.value = cur.value, n.value
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// 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
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if cparent == n {
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tree.fixRemoveHeight(n)
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} else {
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tree.fixRemoveHeight(cparent)
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}
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return cur.value, true
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}
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return nil, false
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}
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func (tree *Tree) Clear() {
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tree.size = 0
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tree.root = nil
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tree.iter = NewIteratorWithCap(nil, 16)
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}
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// Values 返回先序遍历的值
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func (tree *Tree) Values() []interface{} {
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mszie := 0
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if tree.root != nil {
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mszie = tree.size
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}
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result := make([]interface{}, 0, mszie)
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tree.Traversal(func(v interface{}) bool {
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result = append(result, v)
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return true
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}, LDR)
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return result
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}
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func (tree *Tree) GetRange(k1, k2 interface{}) (result []interface{}) {
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c := tree.Compare(k2, k1)
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switch c {
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case 1:
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var min, max *Node
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resultmin := tree.getArountNode(k1)
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resultmax := tree.getArountNode(k2)
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for i := 1; i < 3 && min == nil; i++ {
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min = resultmin[i]
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}
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for i := 1; i > -1 && max == nil; i-- {
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max = resultmax[i]
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}
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if max == nil {
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return []interface{}{}
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}
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result = make([]interface{}, 0, 16)
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tree.iter.SetNode(min)
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iter := tree.iter
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for iter.Next() {
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result = append(result, iter.Value())
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if iter.cur == max {
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break
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}
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}
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case -1:
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var min, max *Node
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resultmin := tree.getArountNode(k2)
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resultmax := tree.getArountNode(k1)
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for i := 1; i < 3 && min == nil; i++ {
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min = resultmin[i]
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}
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for i := 1; i > -1 && max == nil; i-- {
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max = resultmax[i]
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}
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if min == nil {
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return []interface{}{}
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}
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result = make([]interface{}, 0, 16)
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tree.iter.SetNode(max)
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iter := tree.iter
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for iter.Prev() {
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result = append(result, iter.Value())
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if iter.cur == min {
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break
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}
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}
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case 0:
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if n, ok := tree.GetNode(k1); ok {
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return []interface{}{n.value}
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}
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return []interface{}{}
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}
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return
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}
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func (tree *Tree) Get(key interface{}) (interface{}, bool) {
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n, ok := tree.GetNode(key)
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if ok {
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return n.value, true
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}
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return n, false
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}
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func (tree *Tree) GetAround(key interface{}) (result [3]interface{}) {
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an := tree.getArountNode(key)
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for i, n := range an {
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if n != nil {
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result[i] = n.value
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}
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}
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return
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}
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func (tree *Tree) getArountNode(key interface{}) (result [3]*Node) {
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var last *Node
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var lastc int
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for n := tree.root; n != nil; {
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last = n
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c := tree.Compare(key, n.value)
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switch c {
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case -1:
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n = n.children[0]
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lastc = c
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case 1:
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n = n.children[1]
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lastc = c
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case 0:
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result[1] = n
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n = nil
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default:
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panic("Get Compare only is allowed in -1, 0, 1")
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}
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}
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switch lastc {
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case 1:
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if result[1] != nil {
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result[0] = tree.iter.GetPrev(result[1], 1)
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result[2] = tree.iter.GetNext(result[1], 1)
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} else {
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result[0] = last
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result[2] = tree.iter.GetNext(last, 1)
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}
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case -1:
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if result[1] != nil {
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result[0] = tree.iter.GetPrev(result[1], 1)
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result[2] = tree.iter.GetNext(result[1], 1)
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} else {
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result[2] = last
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result[0] = tree.iter.GetPrev(last, 1)
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}
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case 0:
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if result[1] == nil {
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return
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}
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result[0] = tree.iter.GetPrev(result[1], 1)
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result[2] = tree.iter.GetNext(result[1], 1)
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}
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return
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}
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func (tree *Tree) GetNode(value interface{}) (*Node, bool) {
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for n := tree.root; n != nil; {
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switch c := tree.Compare(value, n.value); c {
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case -1:
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n = n.children[0]
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case 1:
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n = n.children[1]
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case 0:
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return n, true
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default:
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panic("Get Compare only is allowed in -1, 0, 1")
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}
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}
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return nil, false
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}
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func (tree *Tree) Put(key interface{}) {
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if tree.size == 0 {
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tree.root = &Node{value: key}
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tree.size++
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return
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}
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for cur, c := tree.root, 0; ; {
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c = tree.Compare(key, cur.value)
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if c == -1 {
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if cur.children[0] == nil {
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tree.size++
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cur.children[0] = &Node{value: key}
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cur.children[0].parent = cur
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if cur.height == 0 {
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tree.fixPutHeight(cur)
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}
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return
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}
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cur = cur.children[0]
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} else if c == 1 {
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if cur.children[1] == nil {
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tree.size++
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cur.children[1] = &Node{value: key}
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cur.children[1].parent = cur
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if cur.height == 0 {
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tree.fixPutHeight(cur)
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}
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return
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}
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cur = cur.children[1]
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} else {
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cur.value = key
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return
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}
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}
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}
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type TraversalMethod int
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const (
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// L = left R = right D = Value(dest)
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_ TraversalMethod = iota
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//DLR 先值 然后左递归 右递归 下面同理
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DLR
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//LDR 先从左边有序访问到右边 从小到大
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LDR
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// LRD 同理
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LRD
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// DRL 同理
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DRL
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// RDL 先从右边有序访问到左边 从大到小
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RDL
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// RLD 同理
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RLD
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)
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// Traversal 遍历的方法 默认是LDR 从小到大 Compare 为 l < r
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func (tree *Tree) Traversal(every func(v interface{}) bool, traversalMethod ...interface{}) {
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if tree.root == nil {
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return
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}
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method := LDR
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if len(traversalMethod) != 0 {
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method = traversalMethod[0].(TraversalMethod)
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}
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switch method {
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case DLR:
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var traverasl func(cur *Node) bool
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traverasl = func(cur *Node) bool {
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if cur == nil {
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return true
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}
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if !every(cur.value) {
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return false
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}
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if !traverasl(cur.children[0]) {
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return false
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}
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if !traverasl(cur.children[1]) {
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return false
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}
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return true
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}
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traverasl(tree.root)
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case LDR:
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var traverasl func(cur *Node) bool
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traverasl = func(cur *Node) bool {
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if cur == nil {
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return true
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}
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if !traverasl(cur.children[0]) {
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return false
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}
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if !every(cur.value) {
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return false
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}
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if !traverasl(cur.children[1]) {
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return false
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}
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return true
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}
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traverasl(tree.root)
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case LRD:
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var traverasl func(cur *Node) bool
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traverasl = func(cur *Node) bool {
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if cur == nil {
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return true
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}
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if !traverasl(cur.children[0]) {
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return false
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}
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if !traverasl(cur.children[1]) {
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return false
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}
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if !every(cur.value) {
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return false
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}
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return true
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}
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traverasl(tree.root)
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case DRL:
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var traverasl func(cur *Node) bool
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traverasl = func(cur *Node) bool {
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if cur == nil {
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return true
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}
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if !every(cur.value) {
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return false
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}
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if !traverasl(cur.children[0]) {
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return false
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}
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if !traverasl(cur.children[1]) {
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return false
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}
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return true
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}
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traverasl(tree.root)
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case RDL:
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var traverasl func(cur *Node) bool
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traverasl = func(cur *Node) bool {
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if cur == nil {
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return true
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}
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if !traverasl(cur.children[1]) {
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return false
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}
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if !every(cur.value) {
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return false
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}
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if !traverasl(cur.children[0]) {
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return false
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}
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return true
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}
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traverasl(tree.root)
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case RLD:
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var traverasl func(cur *Node) bool
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traverasl = func(cur *Node) bool {
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if cur == nil {
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return true
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}
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if !traverasl(cur.children[1]) {
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return false
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}
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if !traverasl(cur.children[0]) {
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return false
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}
|
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if !every(cur.value) {
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return false
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}
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return true
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}
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traverasl(tree.root)
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}
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}
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func (tree *Tree) lrrotate(cur *Node) {
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const l = 1
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const r = 0
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movparent := cur.children[l]
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mov := movparent.children[r]
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mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移
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if mov.children[l] != nil {
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movparent.children[r] = mov.children[l]
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movparent.children[r].parent = movparent
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//movparent.children[r].child = l
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} else {
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movparent.children[r] = nil
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}
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|
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if mov.children[r] != nil {
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mov.children[l] = mov.children[r]
|
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//mov.children[l].child = l
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} else {
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mov.children[l] = nil
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}
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if cur.children[r] != nil {
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mov.children[r] = cur.children[r]
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mov.children[r].parent = mov
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} else {
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mov.children[r] = nil
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}
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cur.children[r] = mov
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mov.parent = cur
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|
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// movparent.size = getChildrenSumSize(movparent) + 1
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// mov.size = getChildrenSumSize(mov) + 1
|
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// cur.size = getChildrenSumSize(cur) + 1
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|
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mov.height = getMaxChildrenHeight(mov) + 1
|
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movparent.height = getMaxChildrenHeight(movparent) + 1
|
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cur.height = getMaxChildrenHeight(cur) + 1
|
|
}
|
|
|
|
func (tree *Tree) rlrotate(cur *Node) {
|
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|
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const l = 0
|
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const r = 1
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|
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movparent := cur.children[l]
|
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mov := movparent.children[r]
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|
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mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移
|
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|
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if mov.children[l] != nil {
|
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movparent.children[r] = mov.children[l]
|
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movparent.children[r].parent = movparent
|
|
} else {
|
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movparent.children[r] = nil
|
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}
|
|
|
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if mov.children[r] != nil {
|
|
mov.children[l] = mov.children[r]
|
|
} else {
|
|
mov.children[l] = nil
|
|
}
|
|
|
|
if cur.children[r] != nil {
|
|
mov.children[r] = cur.children[r]
|
|
mov.children[r].parent = mov
|
|
} else {
|
|
mov.children[r] = nil
|
|
}
|
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|
|
cur.children[r] = mov
|
|
mov.parent = cur
|
|
|
|
mov.height = getMaxChildrenHeight(mov) + 1
|
|
movparent.height = getMaxChildrenHeight(movparent) + 1
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
}
|
|
|
|
func (tree *Tree) rrotateex(cur *Node) {
|
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|
|
const l = 0
|
|
const r = 1
|
|
// 1 right 0 left
|
|
mov := cur.children[l]
|
|
if mov == nil {
|
|
return
|
|
}
|
|
mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移
|
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|
|
// mov.children[l]不可能为nil
|
|
cur.children[l] = mov.children[l]
|
|
if mov.children[l] != nil {
|
|
mov.children[l].parent = cur
|
|
}
|
|
|
|
// 解决mov节点孩子转移的问题
|
|
if mov.children[r] != nil {
|
|
mov.children[l] = mov.children[r]
|
|
} else {
|
|
mov.children[l] = nil
|
|
}
|
|
|
|
if cur.children[r] != nil {
|
|
mov.children[r] = cur.children[r]
|
|
mov.children[r].parent = mov
|
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} else {
|
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mov.children[r] = nil
|
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}
|
|
|
|
// 连接转移后的节点 由于mov只是与cur交换值,parent不变
|
|
cur.children[r] = mov
|
|
|
|
mov.height = getMaxChildrenHeight(mov) + 1
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
}
|
|
|
|
func (tree *Tree) rrotate(cur *Node) {
|
|
|
|
const l = 0
|
|
const r = 1
|
|
// 1 right 0 left
|
|
mov := cur.children[l]
|
|
|
|
mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移
|
|
|
|
// mov.children[l]不可能为nil
|
|
mov.children[l].parent = cur
|
|
cur.children[l] = mov.children[l]
|
|
|
|
// 解决mov节点孩子转移的问题
|
|
if mov.children[r] != nil {
|
|
mov.children[l] = mov.children[r]
|
|
} else {
|
|
mov.children[l] = nil
|
|
}
|
|
|
|
if cur.children[r] != nil {
|
|
mov.children[r] = cur.children[r]
|
|
mov.children[r].parent = mov
|
|
} else {
|
|
mov.children[r] = nil
|
|
}
|
|
|
|
// 连接转移后的节点 由于mov只是与cur交换值,parent不变
|
|
cur.children[r] = mov
|
|
|
|
mov.height = getMaxChildrenHeight(mov) + 1
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
}
|
|
|
|
func (tree *Tree) lrotateex(cur *Node) {
|
|
|
|
const l = 1
|
|
const r = 0
|
|
|
|
mov := cur.children[l]
|
|
if mov == nil {
|
|
return
|
|
}
|
|
mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移
|
|
|
|
// 不可能为nil
|
|
cur.children[l] = mov.children[l]
|
|
if mov.children[l] != nil {
|
|
mov.children[l].parent = cur
|
|
}
|
|
|
|
if mov.children[r] != nil {
|
|
mov.children[l] = mov.children[r]
|
|
} else {
|
|
mov.children[l] = nil
|
|
}
|
|
|
|
if cur.children[r] != nil {
|
|
mov.children[r] = cur.children[r]
|
|
mov.children[r].parent = mov
|
|
} else {
|
|
mov.children[r] = nil
|
|
}
|
|
|
|
cur.children[r] = mov
|
|
|
|
mov.height = getMaxChildrenHeight(mov) + 1
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
}
|
|
|
|
func (tree *Tree) lrotate(cur *Node) {
|
|
|
|
const l = 1
|
|
const r = 0
|
|
|
|
mov := cur.children[l]
|
|
|
|
mov.value, cur.value = cur.value, mov.value //交换值达到, 相对位移
|
|
|
|
// 不可能为nil
|
|
mov.children[l].parent = cur
|
|
cur.children[l] = mov.children[l]
|
|
|
|
if mov.children[r] != nil {
|
|
mov.children[l] = mov.children[r]
|
|
} else {
|
|
mov.children[l] = nil
|
|
}
|
|
|
|
if cur.children[r] != nil {
|
|
mov.children[r] = cur.children[r]
|
|
mov.children[r].parent = mov
|
|
} else {
|
|
mov.children[r] = nil
|
|
}
|
|
|
|
cur.children[r] = mov
|
|
|
|
mov.height = getMaxChildrenHeight(mov) + 1
|
|
cur.height = getMaxChildrenHeight(cur) + 1
|
|
}
|
|
|
|
func getMaxAndChildrenHeight(cur *Node) (h1, h2, maxh int) {
|
|
h1 = getHeight(cur.children[0])
|
|
h2 = getHeight(cur.children[1])
|
|
if h1 > h2 {
|
|
maxh = h1
|
|
} else {
|
|
maxh = h2
|
|
}
|
|
|
|
return
|
|
}
|
|
|
|
func getMaxChildrenHeight(cur *Node) int {
|
|
h1 := getHeight(cur.children[0])
|
|
h2 := getHeight(cur.children[1])
|
|
if h1 > h2 {
|
|
return h1
|
|
}
|
|
return h2
|
|
}
|
|
|
|
func getHeight(cur *Node) int {
|
|
if cur == nil {
|
|
return -1
|
|
}
|
|
return cur.height
|
|
}
|
|
|
|
func (tree *Tree) fixRemoveHeight(cur *Node) {
|
|
for {
|
|
|
|
lefth, rigthh, lrmax := getMaxAndChildrenHeight(cur)
|
|
|
|
// 判断当前节点是否有变化, 如果没变化的时候, 不需要往上修复
|
|
curheight := lrmax + 1
|
|
cur.height = curheight
|
|
|
|
// 计算高度的差值 绝对值大于2的时候需要旋转
|
|
diff := lefth - rigthh
|
|
if diff < -1 {
|
|
r := cur.children[1] // 根据左旋转的右边节点的子节点 左右高度选择旋转的方式
|
|
if getHeight(r.children[0]) > getHeight(r.children[1]) {
|
|
tree.lrrotate(cur)
|
|
} else {
|
|
tree.lrotate(cur)
|
|
}
|
|
} else if diff > 1 {
|
|
l := cur.children[0]
|
|
if getHeight(l.children[1]) > getHeight(l.children[0]) {
|
|
tree.rlrotate(cur)
|
|
} else {
|
|
tree.rrotate(cur)
|
|
}
|
|
} else {
|
|
if cur.height == curheight {
|
|
return
|
|
}
|
|
}
|
|
|
|
if cur.parent == nil {
|
|
return
|
|
}
|
|
|
|
cur = cur.parent
|
|
}
|
|
|
|
}
|
|
|
|
func (tree *Tree) fixPutHeight(cur *Node) {
|
|
|
|
for {
|
|
|
|
lefth := getHeight(cur.children[0])
|
|
rigthh := getHeight(cur.children[1])
|
|
|
|
// 计算高度的差值 绝对值大于2的时候需要旋转
|
|
diff := lefth - rigthh
|
|
if diff < -1 {
|
|
r := cur.children[1] // 根据左旋转的右边节点的子节点 左右高度选择旋转的方式
|
|
if getHeight(r.children[0]) > getHeight(r.children[1]) {
|
|
tree.lrrotate(cur)
|
|
} else {
|
|
tree.lrotate(cur)
|
|
}
|
|
} else if diff > 1 {
|
|
l := cur.children[0]
|
|
if getHeight(l.children[1]) > getHeight(l.children[0]) {
|
|
tree.rlrotate(cur)
|
|
} else {
|
|
tree.rrotate(cur)
|
|
}
|
|
|
|
} else {
|
|
// 选择一个child的最大高度 + 1为 高度
|
|
if lefth > rigthh {
|
|
cur.height = lefth + 1
|
|
} else {
|
|
cur.height = rigthh + 1
|
|
}
|
|
}
|
|
|
|
if cur.parent == nil || cur.height < cur.parent.height {
|
|
return
|
|
}
|
|
cur = cur.parent
|
|
}
|
|
}
|
|
|
|
func output(node *Node, prefix string, isTail bool, str *string) {
|
|
|
|
if node.children[1] != nil {
|
|
newPrefix := prefix
|
|
if isTail {
|
|
newPrefix += "│ "
|
|
} else {
|
|
newPrefix += " "
|
|
}
|
|
output(node.children[1], newPrefix, false, str)
|
|
}
|
|
*str += prefix
|
|
if isTail {
|
|
*str += "└── "
|
|
} else {
|
|
*str += "┌── "
|
|
}
|
|
|
|
*str += spew.Sprint(node.value) + "\n"
|
|
|
|
if node.children[0] != nil {
|
|
newPrefix := prefix
|
|
if isTail {
|
|
newPrefix += " "
|
|
} else {
|
|
newPrefix += "│ "
|
|
}
|
|
output(node.children[0], newPrefix, true, str)
|
|
}
|
|
|
|
}
|
|
|
|
func outputfordebug(node *Node, prefix string, isTail bool, str *string) {
|
|
|
|
if node.children[1] != nil {
|
|
newPrefix := prefix
|
|
if isTail {
|
|
newPrefix += "│ "
|
|
} else {
|
|
newPrefix += " "
|
|
}
|
|
outputfordebug(node.children[1], newPrefix, false, str)
|
|
}
|
|
*str += prefix
|
|
if isTail {
|
|
*str += "└── "
|
|
} else {
|
|
*str += "┌── "
|
|
}
|
|
|
|
suffix := "("
|
|
parentv := ""
|
|
if node.parent == nil {
|
|
parentv = "nil"
|
|
} else {
|
|
parentv = spew.Sprint(node.parent.value)
|
|
}
|
|
suffix += parentv + "|" + spew.Sprint(node.height) + ")"
|
|
*str += spew.Sprint(node.value) + suffix + "\n"
|
|
|
|
if node.children[0] != nil {
|
|
newPrefix := prefix
|
|
if isTail {
|
|
newPrefix += " "
|
|
} else {
|
|
newPrefix += "│ "
|
|
}
|
|
outputfordebug(node.children[0], newPrefix, true, str)
|
|
}
|
|
}
|
|
|
|
func (tree *Tree) debugString() string {
|
|
if tree.size == 0 {
|
|
return ""
|
|
}
|
|
str := "AVLTree\n"
|
|
outputfordebug(tree.root, "", true, &str)
|
|
return str
|
|
}
|