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- package gtreap
-
- type Treap struct {
- compare Compare
- root *node
- }
-
- // Compare returns an integer comparing the two items
- // lexicographically. The result will be 0 if a==b, -1 if a < b, and
- // +1 if a > b.
- type Compare func(a, b interface{}) int
-
- // Item can be anything.
- type Item interface{}
-
- type node struct {
- item Item
- priority int
- left *node
- right *node
- }
-
- func NewTreap(c Compare) *Treap {
- return &Treap{compare: c, root: nil}
- }
-
- func (t *Treap) Min() Item {
- n := t.root
- if n == nil {
- return nil
- }
- for n.left != nil {
- n = n.left
- }
- return n.item
- }
-
- func (t *Treap) Max() Item {
- n := t.root
- if n == nil {
- return nil
- }
- for n.right != nil {
- n = n.right
- }
- return n.item
- }
-
- func (t *Treap) Get(target Item) Item {
- n := t.root
- for n != nil {
- c := t.compare(target, n.item)
- if c < 0 {
- n = n.left
- } else if c > 0 {
- n = n.right
- } else {
- return n.item
- }
- }
- return nil
- }
-
- // Note: only the priority of the first insert of an item is used.
- // Priorities from future updates on already existing items are
- // ignored. To change the priority for an item, you need to do a
- // Delete then an Upsert.
- func (t *Treap) Upsert(item Item, itemPriority int) *Treap {
- r := t.union(t.root, &node{item: item, priority: itemPriority})
- return &Treap{compare: t.compare, root: r}
- }
-
- func (t *Treap) union(this *node, that *node) *node {
- if this == nil {
- return that
- }
- if that == nil {
- return this
- }
- if this.priority > that.priority {
- left, middle, right := t.split(that, this.item)
- if middle == nil {
- return &node{
- item: this.item,
- priority: this.priority,
- left: t.union(this.left, left),
- right: t.union(this.right, right),
- }
- }
- return &node{
- item: middle.item,
- priority: this.priority,
- left: t.union(this.left, left),
- right: t.union(this.right, right),
- }
- }
- // We don't use middle because the "that" has precendence.
- left, _, right := t.split(this, that.item)
- return &node{
- item: that.item,
- priority: that.priority,
- left: t.union(left, that.left),
- right: t.union(right, that.right),
- }
- }
-
- // Splits a treap into two treaps based on a split item "s".
- // The result tuple-3 means (left, X, right), where X is either...
- // nil - meaning the item s was not in the original treap.
- // non-nil - returning the node that had item s.
- // The tuple-3's left result treap has items < s,
- // and the tuple-3's right result treap has items > s.
- func (t *Treap) split(n *node, s Item) (*node, *node, *node) {
- if n == nil {
- return nil, nil, nil
- }
- c := t.compare(s, n.item)
- if c == 0 {
- return n.left, n, n.right
- }
- if c < 0 {
- left, middle, right := t.split(n.left, s)
- return left, middle, &node{
- item: n.item,
- priority: n.priority,
- left: right,
- right: n.right,
- }
- }
- left, middle, right := t.split(n.right, s)
- return &node{
- item: n.item,
- priority: n.priority,
- left: n.left,
- right: left,
- }, middle, right
- }
-
- func (t *Treap) Delete(target Item) *Treap {
- left, _, right := t.split(t.root, target)
- return &Treap{compare: t.compare, root: t.join(left, right)}
- }
-
- // All the items from this are < items from that.
- func (t *Treap) join(this *node, that *node) *node {
- if this == nil {
- return that
- }
- if that == nil {
- return this
- }
- if this.priority > that.priority {
- return &node{
- item: this.item,
- priority: this.priority,
- left: this.left,
- right: t.join(this.right, that),
- }
- }
- return &node{
- item: that.item,
- priority: that.priority,
- left: t.join(this, that.left),
- right: that.right,
- }
- }
-
- type ItemVisitor func(i Item) bool
-
- // Visit items greater-than-or-equal to the pivot.
- func (t *Treap) VisitAscend(pivot Item, visitor ItemVisitor) {
- t.visitAscend(t.root, pivot, visitor)
- }
-
- func (t *Treap) visitAscend(n *node, pivot Item, visitor ItemVisitor) bool {
- if n == nil {
- return true
- }
- if t.compare(pivot, n.item) <= 0 {
- if !t.visitAscend(n.left, pivot, visitor) {
- return false
- }
- if !visitor(n.item) {
- return false
- }
- }
- return t.visitAscend(n.right, pivot, visitor)
- }
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