Files
sml-projects/fcore/persistent-vector.sml

940 lines
31 KiB
Standard ML

structure PersistentVector =
struct
(* Clojure-style persistent vector, for building search list.
* There is an "int table" too, which stores the last index
* at the node with the same index.
* We can use the size table for binary search.
* *)
datatype t =
BRANCH of t vector * int vector
| LEAF of {start: int, finish: int} vector * int vector
val maxSize = 32
val halfSize = 16
fun isEmpty t =
case t of
LEAF (_, sizes) => Vector.length sizes = 0
| BRANCH (_, sizes) => Vector.length sizes = 0
val empty = LEAF (#[], #[])
datatype append_result = APPEND of t | UPDATE of t
fun isInRange (checkIdx, t) =
case t of
BRANCH (nodes, sizes) =>
let
val searchIdx = BinSearch.equalOrMore (checkIdx, sizes)
in
if searchIdx = ~1 then
false
else if searchIdx = 0 then
isInRange (checkIdx, Vector.sub (nodes, searchIdx))
else
let
val nextCheckIdx = checkIdx - Vector.sub (sizes, searchIdx - 1)
in
isInRange (nextCheckIdx, Vector.sub (nodes, searchIdx))
end
end
| LEAF (values, sizes) =>
let
val searchIdx = BinSearch.equalOrMore (checkIdx, sizes)
in
if searchIdx = ~1 then
false
else
let
val {start, finish} = Vector.sub (values, searchIdx)
in
checkIdx >= start andalso checkIdx <= finish
end
end
fun getFinishIdx t =
case t of
BRANCH (_, sizes) => Vector.sub (sizes, Vector.length sizes - 1)
| LEAF (_, sizes) => Vector.sub (sizes, Vector.length sizes - 1)
fun getStartIdx t =
case t of
BRANCH (nodes, _) => getStartIdx (Vector.sub (nodes, 0))
| LEAF (items, _) =>
if Vector.length items = 0 then
0
else
#start (Vector.sub (items, 0))
fun helpAppend (start, finish, tree) =
case tree of
BRANCH (nodes, sizes) =>
let
val lastNode = Vector.sub (nodes, Vector.length nodes - 1)
val prevSize =
if Vector.length sizes > 1 then
Vector.sub (sizes, Vector.length sizes - 2)
else
0
in
case helpAppend (start - prevSize, finish - prevSize, lastNode) of
UPDATE newLast =>
let
val lastPos = Vector.length nodes - 1
val newNode = Vector.update (nodes, lastPos, newLast)
val newSizes = Vector.update (sizes, lastPos, finish)
val newNode = BRANCH (newNode, newSizes)
in
UPDATE newNode
end
| APPEND newVec =>
if Vector.length nodes = maxSize then
let
(* adjust "finish" so that it does not consider
* offset for "lower" vector *)
val finish = finish - Vector.sub (sizes, Vector.length sizes - 1)
val newNode = BRANCH (#[newVec], #[finish])
in
APPEND newNode
end
else
let
val newNodes = Vector.concat [nodes, #[newVec]]
val newSizes = Vector.concat [sizes, #[finish]]
val newNodes = BRANCH (newNodes, newSizes)
in
UPDATE newNodes
end
end
| LEAF (values, sizes) =>
if Vector.length values + 1 > maxSize then
(* when we split a leaf into two vectors,
* we want to adjust the start and finish parameters
* so that they don't contain the offset relevant to the
* "lower" vector, which was split from *)
let
val prevFinish = Vector.sub (sizes, Vector.length sizes - 1)
val start = start - prevFinish
val finish = finish - prevFinish
val newNode = LEAF (#[{start = start, finish = finish}], #[finish])
in
APPEND newNode
end
else
let
val newNode = Vector.concat
[values, #[{start = start, finish = finish}]]
val newSizes = Vector.concat [sizes, #[finish]]
val newNode = LEAF (newNode, newSizes)
in
UPDATE newNode
end
fun append (start, finish, tree) =
case helpAppend (start, finish, tree) of
UPDATE t => t
| APPEND newNode =>
let
val maxSize = getFinishIdx tree
in
BRANCH (#[tree, newNode], #[maxSize, finish])
end
fun getStart tree =
case tree of
LEAF (values, _) => Vector.sub (values, 0)
| BRANCH (nodes, _) => getStart (Vector.sub (nodes, 0))
fun helpNextMatch (cursorIdx, tree, absOffset) =
case tree of
LEAF (values, sizes) =>
let
val idx = BinSearch.equalOrMore (cursorIdx, sizes)
in
if idx = ~1 then {start = ~1, finish = ~1}
else
let
val {start, finish} = Vector.sub (values, idx)
in
{start = start + absOffset, finish = finish + absOffset}
end
end
| BRANCH (nodes, sizes) =>
let
val idx = BinSearch.equalOrMore (cursorIdx, sizes)
in
if idx = ~1 then
{start = ~1, finish = ~1}
else if idx = 0 then
helpNextMatch (cursorIdx, Vector.sub (nodes, idx), absOffset)
else
let
val prevSize = Vector.sub (sizes, idx - 1)
val cursorIdx = cursorIdx - prevSize
val absOffset = absOffset + prevSize
in
helpNextMatch (cursorIdx, Vector.sub (nodes, idx), absOffset)
end
end
fun loopNextMatch (prevStart, prevFinish, tree, count) =
if count = 0 then
prevStart
else
let
val {start, finish} = helpNextMatch (prevFinish + 1, tree, 0)
in
if start = ~1 then
let val {start, finish} = getStart tree
in loopNextMatch (start, finish, tree, count - 1)
end
else
loopNextMatch (start, finish, tree, count - 1)
end
fun nextMatch (cursorIdx, tree, count) =
if isEmpty tree then
~1
else
let
val {start, finish} = helpNextMatch (cursorIdx, tree, 0)
in
if start = ~1 then
let val {start, finish} = getStart tree
in loopNextMatch (start, finish, tree, count - 1)
end
else if cursorIdx >= start andalso cursorIdx <= finish then
loopNextMatch (start, finish, tree, count)
else
loopNextMatch (start, finish, tree, count - 1)
end
fun getLast (tree, absOffset) =
case tree of
LEAF (values, _) =>
let
val {start, finish} = Vector.sub (values, Vector.length values - 1)
in
{start = start + absOffset, finish = finish + absOffset}
end
| BRANCH (nodes, sizes) =>
let
val prevSize =
if Vector.length sizes - 2 >= 0 then
Vector.sub (sizes, Vector.length sizes - 2)
else
0
val absOffset = absOffset + prevSize
in
getLast (Vector.sub (nodes, Vector.length nodes - 1), absOffset)
end
(* slightly tricky.
* The `sizes` vector contains the last/finish position of the item
* at the corresponding index in the `nodes` or `values` vector
* However, what we when searching for the previous match
* is different: we want the node that has a start prior
* to the cursorIdx.
* This information cannot be retrieved with 100% accuracy
* using the `sizes` vector.
* To get what we want, we recurse downwards using the `sizes` vector.
* If we found the node we want, we return it.
* Otherwise, we return a state meaning "no node at this position"
* and we use the call stack to descend down the node at the previous index.
* There might not be a previous index because the current index is 0.
* In this case, either the call stack will handle it,
* or the caller to `helpPrevMatch` will. *)
fun helpPrevMatch (cursorIdx, tree, absOffset) =
case tree of
LEAF (values, sizes) =>
let
val idx = BinSearch.equalOrMore (cursorIdx, sizes)
in
if idx < 0 then
{start = ~1, finish = ~1}
else if idx = 0 then
let
val {start, finish} = Vector.sub (values, 0)
in
if start < cursorIdx then
{start = start + absOffset, finish = finish + absOffset}
else
{start = ~1, finish = ~1}
end
else
let
val {start, finish} = Vector.sub (values, idx)
in
if cursorIdx > start then
{start = start + absOffset, finish = finish + absOffset}
else
let
val {start, finish} = Vector.sub (values, idx - 1)
in
{start = start + absOffset, finish = finish + absOffset}
end
end
end
| BRANCH (nodes, sizes) =>
let
val idx = BinSearch.equalOrMore (cursorIdx, sizes)
in
if idx < 0 then
{start = ~1, finish = ~1}
else if idx = 0 then
helpPrevMatch (cursorIdx, Vector.sub (nodes, idx), absOffset)
else
let
val prevSize = Vector.sub (sizes, idx - 1)
val node = Vector.sub (nodes, idx)
val result =
helpPrevMatch (cursorIdx - prevSize, node, absOffset + prevSize)
in
if #start result = ~1 then
let
val prevSize =
if idx - 2 >= 0 then
Vector.sub (sizes, idx - 2)
else
0
val absOffset = absOffset + prevSize
in
getLast (Vector.sub (nodes, idx - 1), absOffset)
end
else result
end
end
fun loopPrevMatch (prevStart, prevFinish, tree, count) =
if count = 0 then
prevStart
else
let
val {start, finish} = helpPrevMatch (prevFinish - 1, tree, 0)
in
if start = ~1 then
let val {start, finish} = getLast (tree, 0)
in loopPrevMatch (start, finish, tree, count - 1)
end
else
loopPrevMatch (start, finish, tree, count - 1)
end
fun prevMatch (cursorIdx, tree, count) =
if isEmpty tree then
~1
else
let
val {start, finish} = helpPrevMatch (cursorIdx, tree, 0)
in
if start = ~1 then
let val {start, finish} = getLast (tree, 0)
in loopPrevMatch (start, finish, tree, count - 1)
end
else if cursorIdx >= start andalso cursorIdx <= finish then
loopPrevMatch (start, finish, tree, count)
else
loopPrevMatch (start, finish, tree, count - 1)
end
fun splitLeft (splitIdx, tree) =
case tree of
LEAF (items, sizes) =>
if Vector.length items = 0 then
(* if tree is empty, then just return tree *)
tree
else
let
val {start, ...} = Vector.sub (items, 0)
in
(* if all items are after splitIdx,
* then we want to return an empty tree,
* splitting everything *)
if splitIdx < start then
empty
else if splitIdx > Vector.sub (sizes, Vector.length sizes - 1) then
(* if all items are before splitIdx,
* then we want to return the same tree,
* splitting nothing *)
tree
else
(* we want to split from somewhere in middle, keeping left *)
let
val idx = BinSearch.equalOrMore (splitIdx, sizes)
val idx = SOME idx
val items = VectorSlice.slice (items, 0, idx)
val items = VectorSlice.vector items
val sizes = VectorSlice.slice (sizes, 0, idx)
val sizes = VectorSlice.vector sizes
in
LEAF (items, sizes)
end
end
| BRANCH (nodes, sizes) =>
if Vector.length nodes = 0 then
tree
else
if splitIdx < Vector.sub (sizes, 0) then
(* we want to split first node from rest *)
splitLeft (splitIdx, Vector.sub (nodes, 0))
else if splitIdx > Vector.sub (sizes, Vector.length sizes - 1) then
(* split point is after this subtree,
* so return this subtree unchanged *)
tree
else
(* we want to split from somewhere in middle *)
let
val idx = BinSearch.equalOrMore (splitIdx, sizes)
val prevSize =
if idx = 0 then
0
else
Vector.sub (sizes, idx - 1)
val child =
splitLeft (splitIdx - prevSize, Vector.sub (nodes, idx))
val sizes = VectorSlice.slice (sizes, 0, SOME idx)
val nodes = VectorSlice.slice (nodes, 0, SOME idx)
in
if isEmpty child then
let
val sizes = VectorSlice.vector sizes
val nodes = VectorSlice.vector nodes
in
BRANCH (nodes, sizes)
end
else
let
val childSize = VectorSlice.full #[getFinishIdx child + prevSize]
val sizes =VectorSlice.concat [sizes, childSize]
val childNode = VectorSlice.full #[child]
val nodes = VectorSlice.concat [nodes, childNode]
in
BRANCH (nodes, sizes)
end
end
(* When we split in this function,
* we always want to update the sizes vector
* so that the relative rope-like metadata is valid *)
fun splitRight (splitIdx, tree) =
case tree of
BRANCH (nodes, sizes) =>
if splitIdx > Vector.sub (sizes, Vector.length sizes - 1) then
(* splitIdx is greater than largest element,
* so we want to remove everything;
* or, in other words, we want to return an empty vec *)
empty
else
let
val idx = BinSearch.equalOrMore (splitIdx, sizes)
val prevSize =
if idx = 0 then
0
else
Vector.sub (sizes, idx - 1)
val oldChildSize = Vector.sub (sizes, idx)
val child = splitRight (splitIdx - prevSize, Vector.sub (nodes, idx))
val len = Vector.length nodes - (idx + 1)
val sizesSlice = VectorSlice.slice (sizes, idx + 1, SOME len)
val nodesSlice = VectorSlice.slice (nodes, idx + 1, SOME len)
in
if isEmpty child then
if VectorSlice.length sizesSlice = 0 then
(* if we descended down last node and last node became empty,
* then return empty vector *)
empty
else
let
val nodes = VectorSlice.vector nodesSlice
val sizes = VectorSlice.map (fn el => el - oldChildSize) sizesSlice
in
BRANCH (nodes, sizes)
end
else
let
val newChildSize = getFinishIdx child
val sizes = Vector.tabulate (VectorSlice.length sizesSlice + 1,
fn i =>
if i = 0 then
newChildSize
else
let
val el = VectorSlice.sub (sizesSlice, i - 1)
in
el - oldChildSize + newChildSize
end
)
val child = VectorSlice.full #[child]
val nodes = VectorSlice.concat [child, nodesSlice]
in
BRANCH (nodes, sizes)
end
end
| LEAF (items, sizes) =>
if Vector.length items = 0 then
tree
else
if splitIdx > Vector.sub (sizes, Vector.length sizes - 1) then
empty
else if splitIdx < Vector.sub (sizes, 0) then
tree
else
let
val idx = BinSearch.equalOrMore (splitIdx, sizes)
val {start, finish} = Vector.sub (items, idx)
val idx =
if splitIdx >= start then
idx + 1
else
idx
in
if idx >= Vector.length items then
empty
else
let
val prevSize =
if idx > 0 then
Vector.sub (sizes, idx - 1)
else
0
val len = Vector.length items - idx
val itemsSlice = VectorSlice.slice (items, idx, SOME len)
val items = VectorSlice.map
(fn {start, finish} =>
{start = start - prevSize, finish = finish - prevSize}
)
itemsSlice
val sizes = Vector.map #finish items
in
LEAF (items, sizes)
end
end
fun decrementBy (decBy, tree) =
case tree of
BRANCH (nodes, sizes) =>
let
val child = decrementBy (decBy, Vector.sub (nodes, 0))
val nodes = Vector.update (nodes, 0, child)
val sizes = Vector.map (fn sz => sz - decBy) sizes
in
BRANCH (nodes, sizes)
end
| LEAF (items, sizes) =>
let
val items = Vector.map
(fn {start, finish} =>
{start = start - decBy, finish = finish - decBy}
) items
val sizes = Vector.map #finish items
in
LEAF (items, sizes)
end
fun countDepthLoop (counter, tree) =
case tree of
BRANCH (nodes, _) => countDepthLoop (counter + 1, Vector.sub (nodes, 0))
| LEAF (_, _) => counter + 1
fun countDepth tree = countDepthLoop (0, tree)
datatype merge_same_depth_result =
MERGE_SAME_DEPTH_UPDATE of t
| MERGE_SAME_DEPTH_FULL
fun mergeSameDepth (left, right) =
case (left, right) of
(LEAF (leftItems, leftSizes), LEAF (rightItems, rightSizes)) =>
if Vector.length leftItems + Vector.length rightItems <= maxSize then
let
val offset = Vector.sub (leftSizes, Vector.length leftSizes - 1)
val newVecLen = Vector.length leftItems + Vector.length rightItems
val items = Vector.tabulate (newVecLen,
fn i =>
if i < Vector.length leftItems then
Vector.sub (leftItems, i)
else
let
val {start, finish} =
Vector.sub (rightItems, i - Vector.length leftItems)
in
{start = start + offset, finish = finish + offset}
end
)
val sizes = Vector.map #finish items
in
MERGE_SAME_DEPTH_UPDATE (LEAF (items, sizes))
end
else
MERGE_SAME_DEPTH_FULL
| (BRANCH (leftNodes, leftSizes), BRANCH (rightNodes, rightSizes)) =>
if Vector.length leftNodes + Vector.length rightNodes <= maxSize then
let
val offset = Vector.sub (leftSizes, Vector.length leftSizes - 1)
val nodes = Vector.concat [leftNodes, rightNodes]
val sizes = Vector.tabulate (Vector.length nodes,
fn i =>
if i < Vector.length leftSizes then
Vector.sub (leftSizes, i)
else
Vector.sub (rightSizes, i - Vector.length leftSizes) + offset
)
in
MERGE_SAME_DEPTH_UPDATE (BRANCH (nodes, sizes))
end
else
MERGE_SAME_DEPTH_FULL
| _ =>
raise Fail "PersistentVector.mergeSameDepth: \
\left and right should both be BRANCH or both be LEAF \
\but one is BRANCH and one is LEAF"
datatype merge_diff_depth_result =
MERGE_DIFF_DEPTH_UPDATE of t
| MERGE_DIFF_DEPTH_FULL
fun mergeWhenRightDepthIsGreater (left, right, targetDepth, curDepth) =
if curDepth = targetDepth then
case mergeSameDepth (left, right) of
MERGE_SAME_DEPTH_UPDATE tree => MERGE_DIFF_DEPTH_UPDATE tree
| MERGE_SAME_DEPTH_FULL => MERGE_DIFF_DEPTH_FULL
else
case right of
BRANCH (nodes, sizes) =>
(case mergeWhenRightDepthIsGreater
(left, Vector.sub (nodes, 0), targetDepth, curDepth + 1) of
MERGE_DIFF_DEPTH_UPDATE child =>
let
val oldChildSize = Vector.sub (sizes, 0)
val newChildSize = getFinishIdx child
val difference = newChildSize - oldChildSize
val nodes = Vector.update (nodes, 0, child)
val sizes = Vector.map (fn el => el + difference) sizes
in
MERGE_DIFF_DEPTH_UPDATE (BRANCH (nodes, sizes))
end
| MERGE_DIFF_DEPTH_FULL =>
let
val leftSize = getFinishIdx left
val sizes = Vector.tabulate (Vector.length nodes + 1,
fn i =>
if i = 0 then
leftSize
else
Vector.sub (sizes, i - 1) + leftSize
)
val nodes = Vector.concat [#[left], nodes]
in
MERGE_DIFF_DEPTH_UPDATE (BRANCH (nodes, sizes))
end)
| LEAF _ =>
raise Fail "PersistentVector.mergeWhenRightDepthIsGreater: \
\reached LEAF before (curDepth = targetDepth)"
fun mergeWhenLeftDepthIsGreater (left, right, targetDepth, curDepth) =
if targetDepth = curDepth then
case mergeSameDepth (left, right) of
MERGE_SAME_DEPTH_UPDATE tree => MERGE_DIFF_DEPTH_UPDATE tree
| MERGE_SAME_DEPTH_FULL => MERGE_DIFF_DEPTH_FULL
else
case left of
BRANCH (nodes, sizes) =>
(case
mergeWhenLeftDepthIsGreater (
Vector.sub (nodes, Vector.length nodes - 1),
right,
targetDepth,
curDepth + 1) of
MERGE_DIFF_DEPTH_UPDATE child =>
let
val lastIdx = Vector.length sizes - 1
val oldChildSize = Vector.sub (sizes, lastIdx)
val newChildSize = getFinishIdx child
val difference = newChildSize - oldChildSize
val nodes = Vector.update (nodes, lastIdx, child)
val sizes = Vector.map (fn el => el + difference) sizes
in
MERGE_DIFF_DEPTH_UPDATE (BRANCH (nodes, sizes))
end
| MERGE_DIFF_DEPTH_FULL =>
let
val maxLeftSize = Vector.sub (sizes, Vector.length sizes - 1)
val rightSize = getFinishIdx right + maxLeftSize
val sizes = Vector.concat [sizes, #[rightSize]]
val nodes = Vector.concat [nodes, #[right]]
in
MERGE_DIFF_DEPTH_UPDATE (BRANCH (nodes, sizes))
end)
| LEAF _ =>
raise Fail "PersistentVector.mergeWhenLeftDepthIsGreater: \
\reached LEAF before (curDepth = targetDepth)"
fun merge (left, right) =
let
val leftDepth = countDepth left
val rightDepth = countDepth right
in
if leftDepth = rightDepth then
case mergeSameDepth (left, right) of
MERGE_SAME_DEPTH_UPDATE t => t
| MERGE_SAME_DEPTH_FULL =>
let
val leftSize = getFinishIdx left
val sizes = #[leftSize, getFinishIdx right + leftSize]
val nodes = #[left, right]
in
BRANCH (nodes, sizes)
end
else if leftDepth < rightDepth then
let
val targetDepth = rightDepth - leftDepth
in
case mergeWhenRightDepthIsGreater
(left, right, targetDepth, 0) of
MERGE_DIFF_DEPTH_UPDATE t => t
| MERGE_DIFF_DEPTH_FULL => empty
end
else
let
val targetDepth = leftDepth - rightDepth
in
case mergeWhenLeftDepthIsGreater
(left, right, targetDepth, 0) of
MERGE_DIFF_DEPTH_UPDATE t => t
| MERGE_DIFF_DEPTH_FULL => empty
end
end
fun delete (start, length, tree) =
if isEmpty tree then
empty
else
let
val finish = start + length
val matchBeforeStart = prevMatch (start, tree, 1)
val matchBeforeStart =
if matchBeforeStart >= start then
~1
else
matchBeforeStart
val matchAfterFinish = nextMatch (finish, tree, 1)
val matchAfterFinish =
if matchAfterFinish < finish then
~1
else
matchAfterFinish
in
if matchBeforeStart = ~1 andalso matchAfterFinish = ~1 then
empty
else if matchAfterFinish = ~1 then
(* there is no match after 'finish', so just split left.
* No need to decrement or split right,
* because the right vector would be empty. *)
splitLeft (start, tree)
else if matchBeforeStart = ~1 then
(* We don't want to use left split
* because there are no elements
* before the deletion range's 'start'.
* So we make a right split and then decrement it. *)
let
val right = splitRight (finish, tree)
in
if isEmpty right then
empty
else
let
val startIdx = getStartIdx right
val shouldBeStartIdx = matchAfterFinish - length
val difference = startIdx - shouldBeStartIdx
in
if difference = 0 then
right
else if isEmpty right then
empty
else
decrementBy (difference, right)
end
end
else
let
val left = splitLeft (start, tree)
val right = splitRight (finish, tree)
in
if isEmpty right then
left
else
let
val leftSize = getFinishIdx left
val rightStartRelative = getStartIdx right
val rightStartAbsolute = leftSize + rightStartRelative
val shouldBeStartIdx = matchAfterFinish - length
val difference = rightStartAbsolute - shouldBeStartIdx
in
if difference = 0 then
merge (left, right)
else
let
val right = decrementBy (difference, right)
in
merge (left, right)
end
end
end
end
(* Usually, when inserting, we want the absolute metadata
* to be adjusted appropriately.
* An insertion should cause the absolute metadata to increment.
* However, we sometimes want to insert a match without adjusting
* the absolute metadata in this way.
* We want to do this when deleting some part of the buffer
* would cause a new match to be found, for example. *)
fun insertMatchKeepingAbsoluteInddices (start, finish, tree) =
let
val matchAfterFinish = nextMatch (finish, tree, 1)
in
if matchAfterFinish <= finish then
(* no match after the 'finish', so we can just append to 'tree' *)
append (start, finish, tree)
else
let
val left = splitLeft (start, tree)
val right = splitRight (finish, tree)
val left = append (start, finish, left)
val rightStartRelative = getStartIdx right
val rightStartAbsolute = rightStartRelative + finish
val difference = rightStartAbsolute - matchAfterFinish
val right = decrementBy (difference, right)
in
merge (left, right)
end
end
fun extendExistingMatch (start, newFinish, tree) =
let
val matchAfterFinish = nextMatch (newFinish, tree, 1)
val left = splitLeft (start, tree)
val left = append (start, newFinish, left)
in
if matchAfterFinish <= newFinish then
(* no match after newFinish, so we can return 'left'
* which has the newFinish appended *)
left
else
let
val right = splitRight (newFinish, tree)
val leftFinish = getFinishIdx left
val rightStartRelative = getStartIdx right
val rightStartAbsolute = rightStartRelative + leftFinish
val difference = rightStartAbsolute - matchAfterFinish
val right = decrementBy (difference, right)
in
merge (left, right)
end
end
(* functions only for testing *)
fun childrenHaveSameDepth (pos, nodes, expectedDepth) =
if pos = Vector.length nodes then
true
else
let
val node = Vector.sub (nodes, pos)
in
if allLeavesAtSameDepth node then
let
val nodeDepth = countDepth node
in
if nodeDepth = expectedDepth then
childrenHaveSameDepth (pos + 1, nodes, expectedDepth)
else
false
end
else
false
end
and allLeavesAtSameDepth tree =
case tree of
BRANCH (nodes, _) =>
let
val expectedDepth = countDepth (Vector.sub (nodes, 0))
in
childrenHaveSameDepth (0, nodes, expectedDepth)
end
| LEAF _ => true
fun fromListLoop (lst, acc) =
case lst of
{start, finish} :: tl =>
let
val acc = append (start, finish, acc)
in
fromListLoop (tl, acc)
end
| [] => acc
fun fromList coords = fromListLoop (coords, empty)
fun toListLoop (tree, acc) =
case tree of
BRANCH (nodes, _) =>
let
fun branchLoop (pos, acc) =
if pos = Vector.length nodes then
acc
else
let
val acc = toListLoop (Vector.sub (nodes, pos), acc)
in
branchLoop (pos + 1, acc)
end
in
branchLoop (0, acc)
end
| LEAF (items, _) =>
let
fun itemLoop (pos, acc, offset) =
if pos = Vector.length items then
acc
else
let
val {start, finish} = Vector.sub (items, pos)
val item = {start = start + offset, finish = finish + offset}
in
itemLoop (pos + 1, item :: acc, offset)
end
val offset =
case acc of
{finish, ...} :: _ => finish
| [] => 0
in
itemLoop (0, acc, offset)
end
fun toList tree =
let
val result = toListLoop (tree, [])
in
List.rev result
end
end