func (self *AvlNode) Remove(key types.Hashable) (_ *AvlNode, value interface{}, err error) {
if self == nil {
return nil, nil, errors.NotFound(key)
}
if self.key.Equals(key) {
if self.left != nil && self.right != nil {
if self.left.Size() < self.right.Size() {
lmd := self.right.lmd()
lmd.left = self.left
return self.right, self.value, nil
} else {
rmd := self.left.rmd()
rmd.right = self.right
return self.left, self.value, nil
}
} else if self.left == nil {
return self.right, self.value, nil
} else if self.right == nil {
return self.left, self.value, nil
} else {
return nil, self.value, nil
}
}
if key.Less(self.key) {
self.left, value, err = self.left.Remove(key)
} else {
self.right, value, err = self.right.Remove(key)
}
if err != nil {
return self.balance(), value, err
}
return self, value, err
}
/* a pure leaf split has two cases:
* 1) the inserted key is less than the current pure block.
* - a new block should be created before the current block
* - the key should be put in it
* 2) the inserted key is greater than or equal to the pure block.
* - the end of run of pure blocks should be found
* - if the key is equal to pure block and the last block is not full insert
* the new kv
* - else split by making a new block after the last block in the run
* and putting the new key there.
* - always return the current block as "a" and the new block as "b"
*/
func (self *BpNode) pure_leaf_split(key types.Hashable, value interface{}) (a, b *BpNode, err error) {
if self.Internal() || !self.Pure() {
return nil, nil, errors.BpTreeError("Expected a pure leaf node")
}
if key.Less(self.keys[0]) {
a = NewLeaf(self.NodeSize(), self.no_dup)
b = self
if err := a.put_kv(key, value); err != nil {
return nil, nil, err
}
insert_linked_list_node(a, b.prev, b)
return a, b, nil
} else {
a = self
e := self.find_end_of_pure_run()
if e.keys[0].Equals(key) && !e.Full() {
if err := e.put_kv(key, value); err != nil {
return nil, nil, err
}
return a, nil, nil
} else {
b = NewLeaf(self.NodeSize(), self.no_dup)
if err := b.put_kv(key, value); err != nil {
return nil, nil, err
}
insert_linked_list_node(b, e, e.next)
if e.keys[0].Equals(key) {
return a, nil, nil
}
return a, b, nil
}
}
}
func (s *Sorted) Find(item types.Hashable) (int, bool, error) {
var l int = 0
var r int = s.Size() - 1
var m int
for l <= r {
m = ((r - l) >> 1) + l
im, err := s.list.Get(m)
if err != nil {
return -1, false, err
}
if item.Less(im) {
r = m - 1
} else if item.Equals(im) {
for j := m; j > 0; j-- {
ij_1, err := s.list.Get(j - 1)
if err != nil {
return -1, false, err
}
if !item.Equals(ij_1) {
return j, true, nil
}
}
return 0, true, nil
} else {
l = m + 1
}
}
return l, false, nil
}
func (self *ImmutableAvlNode) Put(key types.Hashable, value interface{}) (_ *ImmutableAvlNode, updated bool) {
if self == nil {
return &ImmutableAvlNode{key: key, value: value, height: 1}, false
}
self = self.Copy()
if self.key.Equals(key) {
self.value = value
return self, true
}
if key.Less(self.key) {
self.left, updated = self.left.Put(key, value)
} else {
self.right, updated = self.right.Put(key, value)
}
self.height = max(self.left.Height(), self.right.Height()) + 1
if !updated {
self.height += 1
return self.balance(), updated
}
return self, updated
}
func (self *AvlNode) Get(key types.Hashable) (value interface{}, err error) {
if self == nil {
return nil, errors.NotFound(key)
}
if self.key.Equals(key) {
return self.value, nil
} else if key.Less(self.key) {
return self.left.Get(key)
} else {
return self.right.Get(key)
}
}
func (self *AvlNode) Has(key types.Hashable) (has bool) {
if self == nil {
return false
}
if self.key.Equals(key) {
return true
} else if key.Less(self.key) {
return self.left.Has(key)
} else {
return self.right.Has(key)
}
}
func (self *BpNode) forward(from, to types.Hashable) (li loc_iterator) {
j, l := self.get_start(from)
end := false
j--
li = func() (i int, leaf *BpNode, next loc_iterator) {
j, l, end = next_location(j, l)
if end || to.Less(l.keys[j]) {
return -1, nil, nil
}
return j, l, li
}
return li
}
func (self *BpTree) Range(from, to types.Hashable) (kvi types.KVIterator) {
var li loc_iterator
if !to.Less(from) {
li = self.root.forward(from, to)
} else {
li = self.root.backward(from, to)
}
kvi = func() (key types.Hashable, value interface{}, next types.KVIterator) {
var i int
var leaf *BpNode
i, leaf, li = li()
if li == nil {
return nil, nil, nil
}
return leaf.keys[i], leaf.values[i], kvi
}
return kvi
}
func (self *BpNode) find(key types.Hashable) (int, bool) {
var l int = 0
var r int = len(self.keys) - 1
var m int
for l <= r {
m = ((r - l) >> 1) + l
if key.Less(self.keys[m]) {
r = m - 1
} else if key.Equals(self.keys[m]) {
for j := m; j >= 0; j-- {
if j == 0 || !key.Equals(self.keys[j-1]) {
return j, true
}
}
} else {
l = m + 1
}
}
return l, false
}
/* On split
* - first assert that the key to be inserted is not already in the block.
* - Make a new block
* - balance the two blocks.
* - insert the new key/pointer combo into the correct block
*/
func (self *BpNode) internal_split(key types.Hashable, ptr *BpNode) (a, b *BpNode, err error) {
if !self.Internal() {
return nil, nil, errors.BpTreeError("Expected a internal node")
}
if self.has(key) {
return nil, nil, errors.BpTreeError("Tried to split an internal block on duplicate key")
}
a = self
b = NewInternal(self.NodeSize())
balance_nodes(a, b)
if key.Less(b.keys[0]) {
if err := a.put_kp(key, ptr); err != nil {
return nil, nil, err
}
} else {
if err := b.put_kp(key, ptr); err != nil {
return nil, nil, err
}
}
return a, b, nil
}
/* on leaf split if the block is pure then it will defer to pure_leaf_split
* else
* - a new block will be made and inserted after this one
* - the two blocks will be balanced with balanced_nodes
* - if the key is less than b.keys[0] it will go in a else b
*/
func (self *BpNode) leaf_split(key types.Hashable, value interface{}) (a, b *BpNode, err error) {
if self.Internal() {
return nil, nil, errors.BpTreeError("Expected a leaf node")
}
if self.Pure() {
return self.pure_leaf_split(key, value)
}
a = self
b = NewLeaf(self.NodeSize(), self.no_dup)
insert_linked_list_node(b, a, a.next)
balance_nodes(a, b)
if key.Less(b.keys[0]) {
if err := a.put_kv(key, value); err != nil {
return nil, nil, err
}
} else {
if err := b.put_kv(key, value); err != nil {
return nil, nil, err
}
}
return a, b, nil
}
func (self *ImmutableAvlNode) Remove(key types.Hashable) (_ *ImmutableAvlNode, value interface{}, err error) {
if self == nil {
return nil, nil, errors.NotFound(key)
}
if self.key.Equals(key) {
if self.left != nil && self.right != nil {
var new_root *ImmutableAvlNode
if self.left.Size() < self.right.Size() {
self, new_root = self.pop_node(self.right.lmd())
} else {
self, new_root = self.pop_node(self.left.rmd())
}
new_root.left = self.left
new_root.right = self.right
return new_root, self.value, nil
} else if self.left == nil {
return self.right, self.value, nil
} else if self.right == nil {
return self.left, self.value, nil
} else {
return nil, self.value, nil
}
}
self = self.Copy()
if key.Less(self.key) {
self.left, value, err = self.left.Remove(key)
} else {
self.right, value, err = self.right.Remove(key)
}
self.height = max(self.left.Height(), self.right.Height()) + 1
if err != nil {
return self.balance(), value, err
}
return self, value, err
}