feat: treap

This commit is contained in:
langhuihui
2024-11-01 20:33:36 +08:00
parent a35a0e0997
commit d23498fd54
2 changed files with 568 additions and 278 deletions
+208 -278
View File
@@ -1,18 +1,11 @@
//go:build !treap
//go:build !twotree
package util
const TreeIndexSize = 0
const TreeIndexOffset = 1
type (
Tree struct {
left, right *Block
height int
}
Block struct {
Start, End int
trees [2]Tree
Start, End int
parent, left, right *Block
}
History struct {
Malloc bool
@@ -20,202 +13,232 @@ type (
Size int
}
Allocator struct {
pool *Block
sizeTree *Block
offsetTree *Block
Size int
//history []History
pool *Block
sizeTree *Block // Single treap instead of sizeTree/offsetTree
Size int
// history []History
}
)
func (t *Tree) deleteLeft(b *Block, treeIndex int) {
t.left = t.left.delete(b, treeIndex)
}
func (t *Tree) deleteRight(b *Block, treeIndex int) {
t.right = t.right.delete(b, treeIndex)
}
// Update NewAllocator
func NewAllocator(size int) (result *Allocator) {
root := &Block{Start: 0, End: size}
result = &Allocator{
sizeTree: root,
offsetTree: root,
Size: size,
sizeTree: &Block{Start: 0, End: size},
Size: size,
}
return
}
func compareBySize(a, b *Block) bool {
//if a.Start == b.Start {
// panic("duplicate block")
//}
if sizea, sizeb := a.End-a.Start, b.End-b.Start; sizea != sizeb {
return sizea < sizeb
func (p *Block) rotateDone(x, y *Block, a *Allocator) {
x.parent = p
if p == nil {
a.sizeTree = x
} else if p.left == y {
p.left = x
} else {
p.right = x
}
return a.Start < b.Start
}
func compareByOffset(a, b *Block) bool {
//if a.Start == b.Start {
// panic("duplicate block")
//}
return a.Start < b.Start
// Add rotation helpers similar to semaRoot
func (x *Block) rotateLeft(a *Allocator) {
p, y, b := x.parent, x.right, x.right.left
y.left, x.parent, x.right = x, y, b
if b != nil {
b.parent = x
}
p.rotateDone(y, x, a)
}
var compares = [...]func(a, b *Block) bool{compareBySize, compareByOffset}
var emptyTrees = [2]Tree{}
func (y *Block) rotateRight(a *Allocator) {
p, x, b := y.parent, y.left, y.left.right
x.right, y.parent, y.left = y, x, b
if b != nil {
b.parent = y
}
p.rotateDone(x, y, a)
}
func (b *Block) insert(block *Block, treeIndex int) *Block {
func (b *Block) insert(block *Block, allocator *Allocator) *Block {
if b == nil {
return block
}
if tree := &b.trees[treeIndex]; compares[treeIndex](block, b) {
tree.left = tree.left.insert(block, treeIndex)
if block.End == block.Start {
panic("empty block")
}
// Insert as BST using Start value
if block.Start < b.Start {
b.left = b.left.insert(block, allocator)
if b.left != nil {
b.left.parent = b
}
} else {
tree.right = tree.right.insert(block, treeIndex)
}
b.updateHeight(treeIndex)
return b.balance(treeIndex)
}
func (b *Block) getLeftHeight(treeIndex int) int {
return b.trees[treeIndex].left.getHeight(treeIndex)
}
func (b *Block) getRightHeight(treeIndex int) int {
return b.trees[treeIndex].right.getHeight(treeIndex)
}
func (b *Block) getHeight(treeIndex int) int {
if b == nil {
return 0
}
return b.trees[treeIndex].height
}
func (b *Block) updateHeight(treeIndex int) {
b.trees[treeIndex].height = 1 + max(b.getLeftHeight(treeIndex), b.getRightHeight(treeIndex))
}
func (b *Block) balance(treeIndex int) *Block {
if b == nil {
return nil
}
if tree := &b.trees[treeIndex]; b.getLeftHeight(treeIndex)-b.getRightHeight(treeIndex) > 1 {
if tree.left.getRightHeight(treeIndex) > tree.left.getLeftHeight(treeIndex) {
tree.left = tree.left.rotateLeft(treeIndex)
b.right = b.right.insert(block, allocator)
if b.right != nil {
b.right.parent = b
}
return b.rotateRight(treeIndex)
} else if b.getRightHeight(treeIndex)-b.getLeftHeight(treeIndex) > 1 {
if tree.right.getLeftHeight(treeIndex) > tree.right.getRightHeight(treeIndex) {
tree.right = tree.right.rotateRight(treeIndex)
}
// Heapify based on block size (End-Start)
blockSize := block.End - block.Start
nodeSize := b.End - b.Start
if blockSize < nodeSize {
// Need to rotate up if current node has smaller size
if block == b.left {
b.rotateRight(allocator)
return block
} else if block == b.right {
b.rotateLeft(allocator)
return block
}
return b.rotateLeft(treeIndex)
}
return b
}
func (b *Block) rotateLeft(treeIndex int) *Block {
newRoot := b.trees[treeIndex].right
b.trees[treeIndex].right = newRoot.trees[treeIndex].left
newRoot.trees[treeIndex].left = b
b.updateHeight(treeIndex)
newRoot.updateHeight(treeIndex)
return newRoot
}
func (b *Block) rotateRight(treeIndex int) *Block {
newRoot := b.trees[treeIndex].left
b.trees[treeIndex].left = newRoot.trees[treeIndex].right
newRoot.trees[treeIndex].right = b
b.updateHeight(treeIndex)
newRoot.updateHeight(treeIndex)
return newRoot
}
func (b *Block) findMin(treeIndex int) *Block {
if left := b.trees[treeIndex].left; left == nil {
return b
} else {
return left.findMin(treeIndex)
}
}
func (b *Block) delete(block *Block, treeIndex int) *Block {
func (b *Block) find(size int) (block *Block) {
if b == nil {
return nil
}
defer func() {
block.trees[treeIndex] = emptyTrees[treeIndex]
}()
if compareFunc, tree := compares[treeIndex], &b.trees[treeIndex]; b == block {
if tree.left == nil {
return tree.right
} else if tree.right == nil {
return tree.left
// First check if current block can be used
if blockSize := b.End - b.Start; blockSize >= size {
// If exact match, return this block
if blockSize == size {
return b
}
minBlock := tree.right.findMin(treeIndex)
tree.deleteRight(minBlock, treeIndex)
minTree := &minBlock.trees[treeIndex]
minTree.left = tree.left
minTree.right = tree.right
minTree.height = tree.height
return minBlock
} else if compareFunc(block, b) {
tree.deleteLeft(block, treeIndex)
} else {
tree.deleteRight(block, treeIndex)
// Keep searching left for potentially better fit
if left := b.left.find(size); left != nil {
return left
}
// If no better fit found, use this block
return b
}
b.updateHeight(treeIndex)
return b.balance(treeIndex)
// If current block too small, only check right side
return b.right.find(size)
}
func (a *Allocator) Init(size int) {
a.Size = size
root := a.getBlock(0, size)
a.sizeTree = root
a.offsetTree = root
func (b *Block) Walk(fn func(*Block)) {
if b == nil {
return
}
b.left.Walk(fn)
fn(b)
b.right.Walk(fn)
}
func (a *Allocator) Find(size int) (offset int) {
block := a.findAvailableBlock(size)
if block == nil {
return -1
}
offset = block.Start
return
func (a *Allocator) putBlock(block *Block) {
block.right = nil
block.left = nil
block.parent = a.pool
a.pool = block
}
func (a *Allocator) Allocate(size int) (offset int) {
//a.history = append(a.history, History{Malloc: true, Size: size})
block := a.findAvailableBlock(size)
// a.history = append(a.history, History{Malloc: true, Size: size})
block := a.sizeTree.find(size)
if block == nil {
return -1
}
offset = block.Start
a.deleteSizeTree(block)
a.deleteOffsetTree(block)
if newStart := offset + size; newStart < block.End {
block.Start = newStart
a.insertSizeTree(block)
a.insertOffsetTree(block)
} else {
a.deleteBlock(block)
if blockSize := block.End - block.Start; blockSize == size {
// Remove entire block
a.putBlock(block)
} else {
block.Start += size
a.insert(block)
}
return offset
}
func (a *Allocator) deleteBlock(block *Block) {
// Rotate block down to leaf
for block.left != nil || block.right != nil {
if block.right == nil || (block.left != nil && (block.left.End-block.left.Start) > (block.right.End-block.right.Start)) {
block.rotateRight(a)
} else {
block.rotateLeft(a)
}
}
// Remove leaf
if p := block.parent; p != nil {
if p.left == block {
p.left = nil
} else {
p.right = nil
}
} else {
a.sizeTree = nil
}
}
func (a *Allocator) insert(block *Block) {
// a.sizeTree.Walk(func(b *Block) {
// if block.Start >= b.Start && block.Start < b.End {
// out, _ := yaml.Marshal(a.history)
// fmt.Println(string(out))
// }
// })
a.sizeTree = a.sizeTree.insert(block, a)
// if a.sizeTree.parent != nil {
// panic("sizeTree parent is not nil")
// }
}
func (a *Allocator) Free(offset, size int) {
// a.history = append(a.history, History{Malloc: false, Offset: offset, Size: size})
// Try to merge with adjacent blocks
// Find adjacent blocks
switch left, right := a.findLeftAdjacent(offset), a.findRightAdjacent(offset+size); true {
case left != nil && right != nil:
a.deleteBlock(right)
a.deleteBlock(left)
left.End = right.End
a.insert(left)
a.putBlock(right)
case left == nil && right == nil:
block := a.getBlock(offset, offset+size)
a.insert(block)
case left != nil:
a.deleteBlock(left)
left.End = offset + size
a.insert(left)
case right != nil:
a.deleteBlock(right)
right.Start = offset
a.insert(right)
}
}
func (a *Allocator) findLeftAdjacent(offset int) (curr *Block) {
curr = a.sizeTree
for curr != nil {
if curr.End == offset {
return
}
if curr.End < offset {
curr = curr.right
} else {
curr = curr.left
}
}
return
}
func (a *Allocator) findAvailableBlock(size int) (lastAvailableBlock *Block) {
block := a.sizeTree
for block != nil {
if bSize := block.End - block.Start; bSize == size {
return block
} else if tree := &block.trees[TreeIndexSize]; size < bSize {
lastAvailableBlock = block
block = tree.left
func (a *Allocator) findRightAdjacent(offset int) (curr *Block) {
curr = a.sizeTree
for curr != nil {
if curr.Start == offset {
return
}
if curr.Start > offset {
curr = curr.left
} else {
block = tree.right
curr = curr.right
}
}
return
@@ -226,135 +249,42 @@ func (a *Allocator) getBlock(start, end int) *Block {
return &Block{Start: start, End: end}
} else {
block := a.pool
a.pool = block.trees[TreeIndexSize].left
block.trees = emptyTrees
a.pool = block.parent
block.parent = nil
block.Start, block.End = start, end
return block
}
}
func (a *Allocator) putBlock(b *Block) {
b.trees = emptyTrees
b.trees[TreeIndexSize].left = a.pool
a.pool = b
}
func (a *Allocator) Free(offset, size int) {
//a.history = append(a.history, History{Malloc: false, Offset: offset, Size: size})
switch leftAdjacent, rightAdjacent := a.offsetTree.findLeftAdjacentBlock(offset), a.offsetTree.findRightAdjacentBlock(offset+size); true {
case leftAdjacent != nil && rightAdjacent != nil:
a.deleteOffsetTree(rightAdjacent)
a.deleteSizeTree(rightAdjacent)
a.deleteSizeTree(leftAdjacent)
leftAdjacent.End = rightAdjacent.End
a.insertSizeTree(leftAdjacent)
a.putBlock(rightAdjacent)
case leftAdjacent == nil && rightAdjacent == nil:
block := a.getBlock(offset, offset+size)
a.insertSizeTree(block)
a.insertOffsetTree(block)
case leftAdjacent != nil:
a.deleteSizeTree(leftAdjacent)
leftAdjacent.End = offset + size
a.insertSizeTree(leftAdjacent)
case rightAdjacent != nil:
a.deleteOffsetTree(rightAdjacent)
a.deleteSizeTree(rightAdjacent)
rightAdjacent.Start = offset
a.insertSizeTree(rightAdjacent)
a.insertOffsetTree(rightAdjacent)
}
}
func (a *Allocator) GetBlocks() (blocks []*Block) {
a.offsetTree.Walk(func(block *Block) {
blocks = append(blocks, block)
}, 1)
func (a *Allocator) GetFreeSize() (size int) {
a.sizeTree.Walk(func(b *Block) {
size += b.End - b.Start
})
return
}
func (a *Allocator) GetFreeSize() (ret int) {
a.offsetTree.Walk(func(block *Block) {
ret += block.End - block.Start
}, 1)
return
}
func (a *Allocator) insertSizeTree(block *Block) {
//if block.End == block.Start {
// panic("empty block")
//}
//a.sizeTree.Walk(func(b *Block) {
// if block.Start >= b.Start && block.Start < b.End {
// out, _ := yaml.Marshal(a.history)
// fmt.Println(string(out))
// }
//}, 0)
a.sizeTree = a.sizeTree.insert(block, TreeIndexSize)
}
func (a *Allocator) insertOffsetTree(block *Block) {
//if block.End == block.Start {
// panic("empty block")
//}
//a.offsetTree.Walk(func(b *Block) {
// if block.Start >= b.Start && block.Start < b.End {
// out, _ := yaml.Marshal(a.history)
// fmt.Println(string(out))
// }
//}, 1)
a.offsetTree = a.offsetTree.insert(block, TreeIndexOffset)
}
func (a *Allocator) deleteSizeTree(block *Block) {
a.sizeTree = a.sizeTree.delete(block, TreeIndexSize)
}
func (a *Allocator) deleteOffsetTree(block *Block) {
a.offsetTree = a.offsetTree.delete(block, TreeIndexOffset)
}
func (b *Block) findLeftAdjacentBlock(offset int) *Block {
for b != nil {
if b.End == offset {
return b
}
if tree := &b.trees[TreeIndexOffset]; b.End > offset {
b = tree.left
} else {
b = tree.right
}
}
return nil
}
func (b *Block) findRightAdjacentBlock(offset int) *Block {
for b != nil {
if b.Start == offset {
return b
}
if tree := &b.trees[TreeIndexOffset]; b.Start < offset {
b = tree.right
} else {
b = tree.left
}
}
return nil
}
func (a *Allocator) Recycle() {
a.sizeTree.Walk(func(block *Block) {
a.putBlock(block)
}, 0)
a.sizeTree.Walk(a.putBlock)
a.sizeTree = nil
a.offsetTree = nil
a.pool = nil
}
func (b *Block) Walk(fn func(*Block), index int) {
if b == nil {
return
}
b.trees[index].left.Walk(fn, index)
fn(b)
b.trees[index].right.Walk(fn, index)
func (a *Allocator) Init(size int) {
a.sizeTree = a.getBlock(0, size)
a.Size = size
}
func (a *Allocator) Find(size int) (offset int) {
block := a.sizeTree.find(size)
if block == nil {
return -1
}
return block.Start
}
func (a *Allocator) GetBlocks() (blocks []*Block) {
a.sizeTree.Walk(func(b *Block) {
blocks = append(blocks, b)
})
return
}
+360
View File
@@ -0,0 +1,360 @@
//go:build twotree
package util
const TreeIndexSize = 0
const TreeIndexOffset = 1
type (
Tree struct {
left, right *Block
height int
}
Block struct {
Start, End int
trees [2]Tree
}
History struct {
Malloc bool
Offset int
Size int
}
Allocator struct {
pool *Block
sizeTree *Block
offsetTree *Block
Size int
//history []History
}
)
func (t *Tree) deleteLeft(b *Block, treeIndex int) {
t.left = t.left.delete(b, treeIndex)
}
func (t *Tree) deleteRight(b *Block, treeIndex int) {
t.right = t.right.delete(b, treeIndex)
}
func NewAllocator(size int) (result *Allocator) {
root := &Block{Start: 0, End: size}
result = &Allocator{
sizeTree: root,
offsetTree: root,
Size: size,
}
return
}
func compareBySize(a, b *Block) bool {
//if a.Start == b.Start {
// panic("duplicate block")
//}
if sizea, sizeb := a.End-a.Start, b.End-b.Start; sizea != sizeb {
return sizea < sizeb
}
return a.Start < b.Start
}
func compareByOffset(a, b *Block) bool {
//if a.Start == b.Start {
// panic("duplicate block")
//}
return a.Start < b.Start
}
var compares = [...]func(a, b *Block) bool{compareBySize, compareByOffset}
var emptyTrees = [2]Tree{}
func (b *Block) insert(block *Block, treeIndex int) *Block {
if b == nil {
return block
}
if tree := &b.trees[treeIndex]; compares[treeIndex](block, b) {
tree.left = tree.left.insert(block, treeIndex)
} else {
tree.right = tree.right.insert(block, treeIndex)
}
b.updateHeight(treeIndex)
return b.balance(treeIndex)
}
func (b *Block) getLeftHeight(treeIndex int) int {
return b.trees[treeIndex].left.getHeight(treeIndex)
}
func (b *Block) getRightHeight(treeIndex int) int {
return b.trees[treeIndex].right.getHeight(treeIndex)
}
func (b *Block) getHeight(treeIndex int) int {
if b == nil {
return 0
}
return b.trees[treeIndex].height
}
func (b *Block) updateHeight(treeIndex int) {
b.trees[treeIndex].height = 1 + max(b.getLeftHeight(treeIndex), b.getRightHeight(treeIndex))
}
func (b *Block) balance(treeIndex int) *Block {
if b == nil {
return nil
}
if tree := &b.trees[treeIndex]; b.getLeftHeight(treeIndex)-b.getRightHeight(treeIndex) > 1 {
if tree.left.getRightHeight(treeIndex) > tree.left.getLeftHeight(treeIndex) {
tree.left = tree.left.rotateLeft(treeIndex)
}
return b.rotateRight(treeIndex)
} else if b.getRightHeight(treeIndex)-b.getLeftHeight(treeIndex) > 1 {
if tree.right.getLeftHeight(treeIndex) > tree.right.getRightHeight(treeIndex) {
tree.right = tree.right.rotateRight(treeIndex)
}
return b.rotateLeft(treeIndex)
}
return b
}
func (b *Block) rotateLeft(treeIndex int) *Block {
newRoot := b.trees[treeIndex].right
b.trees[treeIndex].right = newRoot.trees[treeIndex].left
newRoot.trees[treeIndex].left = b
b.updateHeight(treeIndex)
newRoot.updateHeight(treeIndex)
return newRoot
}
func (b *Block) rotateRight(treeIndex int) *Block {
newRoot := b.trees[treeIndex].left
b.trees[treeIndex].left = newRoot.trees[treeIndex].right
newRoot.trees[treeIndex].right = b
b.updateHeight(treeIndex)
newRoot.updateHeight(treeIndex)
return newRoot
}
func (b *Block) findMin(treeIndex int) *Block {
if left := b.trees[treeIndex].left; left == nil {
return b
} else {
return left.findMin(treeIndex)
}
}
func (b *Block) delete(block *Block, treeIndex int) *Block {
if b == nil {
return nil
}
defer func() {
block.trees[treeIndex] = emptyTrees[treeIndex]
}()
if compareFunc, tree := compares[treeIndex], &b.trees[treeIndex]; b == block {
if tree.left == nil {
return tree.right
} else if tree.right == nil {
return tree.left
}
minBlock := tree.right.findMin(treeIndex)
tree.deleteRight(minBlock, treeIndex)
minTree := &minBlock.trees[treeIndex]
minTree.left = tree.left
minTree.right = tree.right
minTree.height = tree.height
return minBlock
} else if compareFunc(block, b) {
tree.deleteLeft(block, treeIndex)
} else {
tree.deleteRight(block, treeIndex)
}
b.updateHeight(treeIndex)
return b.balance(treeIndex)
}
func (a *Allocator) Init(size int) {
a.Size = size
root := a.getBlock(0, size)
a.sizeTree = root
a.offsetTree = root
}
func (a *Allocator) Find(size int) (offset int) {
block := a.findAvailableBlock(size)
if block == nil {
return -1
}
offset = block.Start
return
}
func (a *Allocator) Allocate(size int) (offset int) {
//a.history = append(a.history, History{Malloc: true, Size: size})
block := a.findAvailableBlock(size)
if block == nil {
return -1
}
offset = block.Start
a.deleteSizeTree(block)
a.deleteOffsetTree(block)
if newStart := offset + size; newStart < block.End {
block.Start = newStart
a.insertSizeTree(block)
a.insertOffsetTree(block)
} else {
a.putBlock(block)
}
return
}
func (a *Allocator) findAvailableBlock(size int) (lastAvailableBlock *Block) {
block := a.sizeTree
for block != nil {
if bSize := block.End - block.Start; bSize == size {
return block
} else if tree := &block.trees[TreeIndexSize]; size < bSize {
lastAvailableBlock = block
block = tree.left
} else {
block = tree.right
}
}
return
}
func (a *Allocator) getBlock(start, end int) *Block {
if a.pool == nil {
return &Block{Start: start, End: end}
} else {
block := a.pool
a.pool = block.trees[TreeIndexSize].left
block.trees = emptyTrees
block.Start, block.End = start, end
return block
}
}
func (a *Allocator) putBlock(b *Block) {
b.trees = emptyTrees
b.trees[TreeIndexSize].left = a.pool
a.pool = b
}
func (a *Allocator) Free(offset, size int) {
//a.history = append(a.history, History{Malloc: false, Offset: offset, Size: size})
switch leftAdjacent, rightAdjacent := a.offsetTree.findLeftAdjacentBlock(offset), a.offsetTree.findRightAdjacentBlock(offset+size); true {
case leftAdjacent != nil && rightAdjacent != nil:
a.deleteOffsetTree(rightAdjacent)
a.deleteSizeTree(rightAdjacent)
a.deleteSizeTree(leftAdjacent)
leftAdjacent.End = rightAdjacent.End
a.insertSizeTree(leftAdjacent)
a.putBlock(rightAdjacent)
case leftAdjacent == nil && rightAdjacent == nil:
block := a.getBlock(offset, offset+size)
a.insertSizeTree(block)
a.insertOffsetTree(block)
case leftAdjacent != nil:
a.deleteSizeTree(leftAdjacent)
leftAdjacent.End = offset + size
a.insertSizeTree(leftAdjacent)
case rightAdjacent != nil:
a.deleteOffsetTree(rightAdjacent)
a.deleteSizeTree(rightAdjacent)
rightAdjacent.Start = offset
a.insertSizeTree(rightAdjacent)
a.insertOffsetTree(rightAdjacent)
}
}
func (a *Allocator) GetBlocks() (blocks []*Block) {
a.offsetTree.Walk(func(block *Block) {
blocks = append(blocks, block)
}, 1)
return
}
func (a *Allocator) GetFreeSize() (ret int) {
a.offsetTree.Walk(func(block *Block) {
ret += block.End - block.Start
}, 1)
return
}
func (a *Allocator) insertSizeTree(block *Block) {
//if block.End == block.Start {
// panic("empty block")
//}
//a.sizeTree.Walk(func(b *Block) {
// if block.Start >= b.Start && block.Start < b.End {
// out, _ := yaml.Marshal(a.history)
// fmt.Println(string(out))
// }
//}, 0)
a.sizeTree = a.sizeTree.insert(block, TreeIndexSize)
}
func (a *Allocator) insertOffsetTree(block *Block) {
//if block.End == block.Start {
// panic("empty block")
//}
//a.offsetTree.Walk(func(b *Block) {
// if block.Start >= b.Start && block.Start < b.End {
// out, _ := yaml.Marshal(a.history)
// fmt.Println(string(out))
// }
//}, 1)
a.offsetTree = a.offsetTree.insert(block, TreeIndexOffset)
}
func (a *Allocator) deleteSizeTree(block *Block) {
a.sizeTree = a.sizeTree.delete(block, TreeIndexSize)
}
func (a *Allocator) deleteOffsetTree(block *Block) {
a.offsetTree = a.offsetTree.delete(block, TreeIndexOffset)
}
func (b *Block) findLeftAdjacentBlock(offset int) *Block {
for b != nil {
if b.End == offset {
return b
}
if tree := &b.trees[TreeIndexOffset]; b.End > offset {
b = tree.left
} else {
b = tree.right
}
}
return nil
}
func (b *Block) findRightAdjacentBlock(offset int) *Block {
for b != nil {
if b.Start == offset {
return b
}
if tree := &b.trees[TreeIndexOffset]; b.Start < offset {
b = tree.right
} else {
b = tree.left
}
}
return nil
}
func (a *Allocator) Recycle() {
a.sizeTree.Walk(func(block *Block) {
a.putBlock(block)
}, 0)
a.sizeTree = nil
a.offsetTree = nil
}
func (b *Block) Walk(fn func(*Block), index int) {
if b == nil {
return
}
b.trees[index].left.Walk(fn, index)
fn(b)
b.trees[index].right.Walk(fn, index)
}