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authorErik Rozendaal <erik@deler.org>2012-01-06 23:19:39 +0100
committerErik Rozendaal <erik@deler.org>2012-01-06 23:19:39 +0100
commitf656142ddbcecfd3f8482e2b55067de3d0ebd3ce (patch)
treec246d3ab63ab51c7d50debc380d69342071e31cf
parent7e92b3c60574d7fc0a0e83de738b835f4f98a685 (diff)
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Restore old RedBlack class to maintain backwards compatibility.
The class is marked as deprecated and no longer used by the TreeMap/TreeSet implementation but is restored in case it was used by anyone else (since it was not marked as private to the Scala collection library). Renamed RedBlack.{Tree,RedTree,BlackTree} to Node, RedNode, and BlackNode to work around name clash with RedBlack class.
-rw-r--r--src/library/scala/collection/immutable/RedBlack.scala561
-rw-r--r--src/library/scala/collection/immutable/TreeMap.scala2
-rw-r--r--src/library/scala/collection/immutable/TreeSet.scala4
-rw-r--r--test/files/scalacheck/redblack.scala56
4 files changed, 452 insertions, 171 deletions
diff --git a/src/library/scala/collection/immutable/RedBlack.scala b/src/library/scala/collection/immutable/RedBlack.scala
index 30d3ff37a3..37ff7a7f54 100644
--- a/src/library/scala/collection/immutable/RedBlack.scala
+++ b/src/library/scala/collection/immutable/RedBlack.scala
@@ -26,167 +26,167 @@ import annotation.meta.getter
private[immutable]
object RedBlack {
- private def blacken[A, B](t: Tree[A, B]): Tree[A, B] = if (t eq null) null else t.black
+ def isBlack(tree: Node[_, _]) = (tree eq null) || isBlackNode(tree)
+ def isRedNode(tree: Node[_, _]) = tree.isInstanceOf[RedNode[_, _]]
+ def isBlackNode(tree: Node[_, _]) = tree.isInstanceOf[BlackNode[_, _]]
- private def mkTree[A, B](isBlack: Boolean, k: A, v: B, l: Tree[A, B], r: Tree[A, B]) =
- if (isBlack) BlackTree(k, v, l, r) else RedTree(k, v, l, r)
-
- def isBlack(tree: Tree[_, _]) = (tree eq null) || isBlackTree(tree)
- def isRedTree(tree: Tree[_, _]) = tree.isInstanceOf[RedTree[_, _]]
- def isBlackTree(tree: Tree[_, _]) = tree.isInstanceOf[BlackTree[_, _]]
+ def isEmpty(tree: Node[_, _]): Boolean = tree eq null
- def isEmpty(tree: Tree[_, _]): Boolean = tree eq null
-
- def contains[A](tree: Tree[A, _], x: A)(implicit ordering: Ordering[A]): Boolean = lookup(tree, x) ne null
- def get[A, B](tree: Tree[A, B], x: A)(implicit ordering: Ordering[A]): Option[B] = lookup(tree, x) match {
+ def contains[A](tree: Node[A, _], x: A)(implicit ordering: Ordering[A]): Boolean = lookup(tree, x) ne null
+ def get[A, B](tree: Node[A, B], x: A)(implicit ordering: Ordering[A]): Option[B] = lookup(tree, x) match {
case null => None
case tree => Some(tree.value)
}
@tailrec
- def lookup[A, B](tree: Tree[A, B], x: A)(implicit ordering: Ordering[A]): Tree[A, B] = if (tree eq null) null else {
+ def lookup[A, B](tree: Node[A, B], x: A)(implicit ordering: Ordering[A]): Node[A, B] = if (tree eq null) null else {
val cmp = ordering.compare(x, tree.key)
if (cmp < 0) lookup(tree.left, x)
else if (cmp > 0) lookup(tree.right, x)
else tree
}
- def count(tree: Tree[_, _]) = if (tree eq null) 0 else tree.count
- def update[A, B, B1 >: B](tree: Tree[A, B], k: A, v: B1)(implicit ordering: Ordering[A]): Tree[A, B1] = blacken(upd(tree, k, v))
- def delete[A, B](tree: Tree[A, B], k: A)(implicit ordering: Ordering[A]): Tree[A, B] = blacken(del(tree, k))
- def range[A, B](tree: Tree[A, B], from: Option[A], until: Option[A])(implicit ordering: Ordering[A]): Tree[A, B] = blacken(rng(tree, from, until))
+ def count(tree: Node[_, _]) = if (tree eq null) 0 else tree.count
+ def update[A, B, B1 >: B](tree: Node[A, B], k: A, v: B1)(implicit ordering: Ordering[A]): Node[A, B1] = blacken(upd(tree, k, v))
+ def delete[A, B](tree: Node[A, B], k: A)(implicit ordering: Ordering[A]): Node[A, B] = blacken(del(tree, k))
+ def range[A, B](tree: Node[A, B], from: Option[A], until: Option[A])(implicit ordering: Ordering[A]): Node[A, B] = blacken(rng(tree, from, until))
- def smallest[A, B](tree: Tree[A, B]): Tree[A, B] = {
+ def smallest[A, B](tree: Node[A, B]): Node[A, B] = {
if (tree eq null) throw new NoSuchElementException("empty map")
var result = tree
while (result.left ne null) result = result.left
result
}
- def greatest[A, B](tree: Tree[A, B]): Tree[A, B] = {
+ def greatest[A, B](tree: Node[A, B]): Node[A, B] = {
if (tree eq null) throw new NoSuchElementException("empty map")
var result = tree
while (result.right ne null) result = result.right
result
}
- def foreach[A, B, U](tree: Tree[A, B], f: ((A, B)) => U): Unit = if (tree ne null) {
+ def foreach[A, B, U](tree: Node[A, B], f: ((A, B)) => U): Unit = if (tree ne null) {
if (tree.left ne null) foreach(tree.left, f)
f((tree.key, tree.value))
if (tree.right ne null) foreach(tree.right, f)
}
- def foreachKey[A, U](tree: Tree[A, _], f: A => U): Unit = if (tree ne null) {
+ def foreachKey[A, U](tree: Node[A, _], f: A => U): Unit = if (tree ne null) {
if (tree.left ne null) foreachKey(tree.left, f)
f(tree.key)
if (tree.right ne null) foreachKey(tree.right, f)
}
- def iterator[A, B](tree: Tree[A, B]): Iterator[(A, B)] = new EntriesIterator(tree)
- def keysIterator[A, _](tree: Tree[A, _]): Iterator[A] = new KeysIterator(tree)
- def valuesIterator[_, B](tree: Tree[_, B]): Iterator[B] = new ValuesIterator(tree)
+ def iterator[A, B](tree: Node[A, B]): Iterator[(A, B)] = new EntriesIterator(tree)
+ def keysIterator[A, _](tree: Node[A, _]): Iterator[A] = new KeysIterator(tree)
+ def valuesIterator[_, B](tree: Node[_, B]): Iterator[B] = new ValuesIterator(tree)
@tailrec
- def nth[A, B](tree: Tree[A, B], n: Int): Tree[A, B] = {
+ def nth[A, B](tree: Node[A, B], n: Int): Node[A, B] = {
val count = RedBlack.count(tree.left)
if (n < count) nth(tree.left, n)
else if (n > count) nth(tree.right, n - count - 1)
else tree
}
- private[this] def balanceLeft[A, B, B1 >: B](isBlack: Boolean, z: A, zv: B, l: Tree[A, B1], d: Tree[A, B1]): Tree[A, B1] = {
- if (isRedTree(l) && isRedTree(l.left))
- RedTree(l.key, l.value, BlackTree(l.left.key, l.left.value, l.left.left, l.left.right), BlackTree(z, zv, l.right, d))
- else if (isRedTree(l) && isRedTree(l.right))
- RedTree(l.right.key, l.right.value, BlackTree(l.key, l.value, l.left, l.right.left), BlackTree(z, zv, l.right.right, d))
+ private def blacken[A, B](t: Node[A, B]): Node[A, B] = if (t eq null) null else t.black
+
+ private def mkNode[A, B](isBlack: Boolean, k: A, v: B, l: Node[A, B], r: Node[A, B]) =
+ if (isBlack) BlackNode(k, v, l, r) else RedNode(k, v, l, r)
+
+ private[this] def balanceLeft[A, B, B1 >: B](isBlack: Boolean, z: A, zv: B, l: Node[A, B1], d: Node[A, B1]): Node[A, B1] = {
+ if (isRedNode(l) && isRedNode(l.left))
+ RedNode(l.key, l.value, BlackNode(l.left.key, l.left.value, l.left.left, l.left.right), BlackNode(z, zv, l.right, d))
+ else if (isRedNode(l) && isRedNode(l.right))
+ RedNode(l.right.key, l.right.value, BlackNode(l.key, l.value, l.left, l.right.left), BlackNode(z, zv, l.right.right, d))
else
- mkTree(isBlack, z, zv, l, d)
+ mkNode(isBlack, z, zv, l, d)
}
- private[this] def balanceRight[A, B, B1 >: B](isBlack: Boolean, x: A, xv: B, a: Tree[A, B1], r: Tree[A, B1]): Tree[A, B1] = {
- if (isRedTree(r) && isRedTree(r.left))
- RedTree(r.left.key, r.left.value, BlackTree(x, xv, a, r.left.left), BlackTree(r.key, r.value, r.left.right, r.right))
- else if (isRedTree(r) && isRedTree(r.right))
- RedTree(r.key, r.value, BlackTree(x, xv, a, r.left), BlackTree(r.right.key, r.right.value, r.right.left, r.right.right))
+ private[this] def balanceRight[A, B, B1 >: B](isBlack: Boolean, x: A, xv: B, a: Node[A, B1], r: Node[A, B1]): Node[A, B1] = {
+ if (isRedNode(r) && isRedNode(r.left))
+ RedNode(r.left.key, r.left.value, BlackNode(x, xv, a, r.left.left), BlackNode(r.key, r.value, r.left.right, r.right))
+ else if (isRedNode(r) && isRedNode(r.right))
+ RedNode(r.key, r.value, BlackNode(x, xv, a, r.left), BlackNode(r.right.key, r.right.value, r.right.left, r.right.right))
else
- mkTree(isBlack, x, xv, a, r)
+ mkNode(isBlack, x, xv, a, r)
}
- private[this] def upd[A, B, B1 >: B](tree: Tree[A, B], k: A, v: B1)(implicit ordering: Ordering[A]): Tree[A, B1] = if (tree eq null) {
- RedTree(k, v, null, null)
+ private[this] def upd[A, B, B1 >: B](tree: Node[A, B], k: A, v: B1)(implicit ordering: Ordering[A]): Node[A, B1] = if (tree eq null) {
+ RedNode(k, v, null, null)
} else {
val cmp = ordering.compare(k, tree.key)
if (cmp < 0) balanceLeft(tree.isBlack, tree.key, tree.value, upd(tree.left, k, v), tree.right)
else if (cmp > 0) balanceRight(tree.isBlack, tree.key, tree.value, tree.left, upd(tree.right, k, v))
- else mkTree(tree.isBlack, k, v, tree.left, tree.right)
+ else mkNode(tree.isBlack, k, v, tree.left, tree.right)
}
// Based on Stefan Kahrs' Haskell version of Okasaki's Red&Black Trees
- // http://www.cse.unsw.edu.au/~dons/data/RedBlackTree.html
- private[this] def del[A, B](tree: Tree[A, B], k: A)(implicit ordering: Ordering[A]): Tree[A, B] = if (tree eq null) null else {
- def balance(x: A, xv: B, tl: Tree[A, B], tr: Tree[A, B]) = if (isRedTree(tl)) {
- if (isRedTree(tr)) {
- RedTree(x, xv, tl.black, tr.black)
- } else if (isRedTree(tl.left)) {
- RedTree(tl.key, tl.value, tl.left.black, BlackTree(x, xv, tl.right, tr))
- } else if (isRedTree(tl.right)) {
- RedTree(tl.right.key, tl.right.value, BlackTree(tl.key, tl.value, tl.left, tl.right.left), BlackTree(x, xv, tl.right.right, tr))
+ // http://www.cse.unsw.edu.au/~dons/data/RedBlackNode.html
+ private[this] def del[A, B](tree: Node[A, B], k: A)(implicit ordering: Ordering[A]): Node[A, B] = if (tree eq null) null else {
+ def balance(x: A, xv: B, tl: Node[A, B], tr: Node[A, B]) = if (isRedNode(tl)) {
+ if (isRedNode(tr)) {
+ RedNode(x, xv, tl.black, tr.black)
+ } else if (isRedNode(tl.left)) {
+ RedNode(tl.key, tl.value, tl.left.black, BlackNode(x, xv, tl.right, tr))
+ } else if (isRedNode(tl.right)) {
+ RedNode(tl.right.key, tl.right.value, BlackNode(tl.key, tl.value, tl.left, tl.right.left), BlackNode(x, xv, tl.right.right, tr))
} else {
- BlackTree(x, xv, tl, tr)
+ BlackNode(x, xv, tl, tr)
}
- } else if (isRedTree(tr)) {
- if (isRedTree(tr.right)) {
- RedTree(tr.key, tr.value, BlackTree(x, xv, tl, tr.left), tr.right.black)
- } else if (isRedTree(tr.left)) {
- RedTree(tr.left.key, tr.left.value, BlackTree(x, xv, tl, tr.left.left), BlackTree(tr.key, tr.value, tr.left.right, tr.right))
+ } else if (isRedNode(tr)) {
+ if (isRedNode(tr.right)) {
+ RedNode(tr.key, tr.value, BlackNode(x, xv, tl, tr.left), tr.right.black)
+ } else if (isRedNode(tr.left)) {
+ RedNode(tr.left.key, tr.left.value, BlackNode(x, xv, tl, tr.left.left), BlackNode(tr.key, tr.value, tr.left.right, tr.right))
} else {
- BlackTree(x, xv, tl, tr)
+ BlackNode(x, xv, tl, tr)
}
} else {
- BlackTree(x, xv, tl, tr)
+ BlackNode(x, xv, tl, tr)
}
- def subl(t: Tree[A, B]) =
- if (t.isInstanceOf[BlackTree[_, _]]) t.red
+ def subl(t: Node[A, B]) =
+ if (t.isInstanceOf[BlackNode[_, _]]) t.red
else sys.error("Defect: invariance violation; expected black, got "+t)
- def balLeft(x: A, xv: B, tl: Tree[A, B], tr: Tree[A, B]) = if (isRedTree(tl)) {
- RedTree(x, xv, tl.black, tr)
- } else if (isBlackTree(tr)) {
+ def balLeft(x: A, xv: B, tl: Node[A, B], tr: Node[A, B]) = if (isRedNode(tl)) {
+ RedNode(x, xv, tl.black, tr)
+ } else if (isBlackNode(tr)) {
balance(x, xv, tl, tr.red)
- } else if (isRedTree(tr) && isBlackTree(tr.left)) {
- RedTree(tr.left.key, tr.left.value, BlackTree(x, xv, tl, tr.left.left), balance(tr.key, tr.value, tr.left.right, subl(tr.right)))
+ } else if (isRedNode(tr) && isBlackNode(tr.left)) {
+ RedNode(tr.left.key, tr.left.value, BlackNode(x, xv, tl, tr.left.left), balance(tr.key, tr.value, tr.left.right, subl(tr.right)))
} else {
- sys.error("Defect: invariance violation at ") // TODO
+ sys.error("Defect: invariance violation")
}
- def balRight(x: A, xv: B, tl: Tree[A, B], tr: Tree[A, B]) = if (isRedTree(tr)) {
- RedTree(x, xv, tl, tr.black)
- } else if (isBlackTree(tl)) {
+ def balRight(x: A, xv: B, tl: Node[A, B], tr: Node[A, B]) = if (isRedNode(tr)) {
+ RedNode(x, xv, tl, tr.black)
+ } else if (isBlackNode(tl)) {
balance(x, xv, tl.red, tr)
- } else if (isRedTree(tl) && isBlackTree(tl.right)) {
- RedTree(tl.right.key, tl.right.value, balance(tl.key, tl.value, subl(tl.left), tl.right.left), BlackTree(x, xv, tl.right.right, tr))
+ } else if (isRedNode(tl) && isBlackNode(tl.right)) {
+ RedNode(tl.right.key, tl.right.value, balance(tl.key, tl.value, subl(tl.left), tl.right.left), BlackNode(x, xv, tl.right.right, tr))
} else {
- sys.error("Defect: invariance violation at ") // TODO
+ sys.error("Defect: invariance violation")
}
- def delLeft = if (isBlackTree(tree.left)) balLeft(tree.key, tree.value, del(tree.left, k), tree.right) else RedTree(tree.key, tree.value, del(tree.left, k), tree.right)
- def delRight = if (isBlackTree(tree.right)) balRight(tree.key, tree.value, tree.left, del(tree.right, k)) else RedTree(tree.key, tree.value, tree.left, del(tree.right, k))
- def append(tl: Tree[A, B], tr: Tree[A, B]): Tree[A, B] = if (tl eq null) {
+ def delLeft = if (isBlackNode(tree.left)) balLeft(tree.key, tree.value, del(tree.left, k), tree.right) else RedNode(tree.key, tree.value, del(tree.left, k), tree.right)
+ def delRight = if (isBlackNode(tree.right)) balRight(tree.key, tree.value, tree.left, del(tree.right, k)) else RedNode(tree.key, tree.value, tree.left, del(tree.right, k))
+ def append(tl: Node[A, B], tr: Node[A, B]): Node[A, B] = if (tl eq null) {
tr
} else if (tr eq null) {
tl
- } else if (isRedTree(tl) && isRedTree(tr)) {
+ } else if (isRedNode(tl) && isRedNode(tr)) {
val bc = append(tl.right, tr.left)
- if (isRedTree(bc)) {
- RedTree(bc.key, bc.value, RedTree(tl.key, tl.value, tl.left, bc.left), RedTree(tr.key, tr.value, bc.right, tr.right))
+ if (isRedNode(bc)) {
+ RedNode(bc.key, bc.value, RedNode(tl.key, tl.value, tl.left, bc.left), RedNode(tr.key, tr.value, bc.right, tr.right))
} else {
- RedTree(tl.key, tl.value, tl.left, RedTree(tr.key, tr.value, bc, tr.right))
+ RedNode(tl.key, tl.value, tl.left, RedNode(tr.key, tr.value, bc, tr.right))
}
- } else if (isBlackTree(tl) && isBlackTree(tr)) {
+ } else if (isBlackNode(tl) && isBlackNode(tr)) {
val bc = append(tl.right, tr.left)
- if (isRedTree(bc)) {
- RedTree(bc.key, bc.value, BlackTree(tl.key, tl.value, tl.left, bc.left), BlackTree(tr.key, tr.value, bc.right, tr.right))
+ if (isRedNode(bc)) {
+ RedNode(bc.key, bc.value, BlackNode(tl.key, tl.value, tl.left, bc.left), BlackNode(tr.key, tr.value, bc.right, tr.right))
} else {
- balLeft(tl.key, tl.value, tl.left, BlackTree(tr.key, tr.value, bc, tr.right))
+ balLeft(tl.key, tl.value, tl.left, BlackNode(tr.key, tr.value, bc, tr.right))
}
- } else if (isRedTree(tr)) {
- RedTree(tr.key, tr.value, append(tl, tr.left), tr.right)
- } else if (isRedTree(tl)) {
- RedTree(tl.key, tl.value, tl.left, append(tl.right, tr))
+ } else if (isRedNode(tr)) {
+ RedNode(tr.key, tr.value, append(tl, tr.left), tr.right)
+ } else if (isRedNode(tl)) {
+ RedNode(tl.key, tl.value, tl.left, append(tl.right, tr))
} else {
sys.error("unmatched tree on append: " + tl + ", " + tr)
}
@@ -197,7 +197,7 @@ object RedBlack {
else append(tree.left, tree.right)
}
- private[this] def rng[A, B](tree: Tree[A, B], from: Option[A], until: Option[A])(implicit ordering: Ordering[A]): Tree[A, B] = {
+ private[this] def rng[A, B](tree: Node[A, B], from: Option[A], until: Option[A])(implicit ordering: Ordering[A]): Node[A, B] = {
if (tree eq null) return null
if (from == None && until == None) return tree
if (from != None && ordering.lt(tree.key, from.get)) return rng(tree.right, from, until);
@@ -219,9 +219,9 @@ object RedBlack {
// whether the zipper was traversed left-most or right-most.
// If the trees were balanced, returns an empty zipper
- private[this] def compareDepth[A, B](left: Tree[A, B], right: Tree[A, B]): (List[Tree[A, B]], Boolean, Boolean, Int) = {
+ private[this] def compareDepth[A, B](left: Node[A, B], right: Node[A, B]): (List[Node[A, B]], Boolean, Boolean, Int) = {
// Once a side is found to be deeper, unzip it to the bottom
- def unzip(zipper: List[Tree[A, B]], leftMost: Boolean): List[Tree[A, B]] = {
+ def unzip(zipper: List[Node[A, B]], leftMost: Boolean): List[Node[A, B]] = {
val next = if (leftMost) zipper.head.left else zipper.head.right
next match {
case null => zipper
@@ -231,25 +231,25 @@ object RedBlack {
// Unzip left tree on the rightmost side and right tree on the leftmost side until one is
// found to be deeper, or the bottom is reached
- def unzipBoth(left: Tree[A, B],
- right: Tree[A, B],
- leftZipper: List[Tree[A, B]],
- rightZipper: List[Tree[A, B]],
- smallerDepth: Int): (List[Tree[A, B]], Boolean, Boolean, Int) = {
- if (isBlackTree(left) && isBlackTree(right)) {
+ def unzipBoth(left: Node[A, B],
+ right: Node[A, B],
+ leftZipper: List[Node[A, B]],
+ rightZipper: List[Node[A, B]],
+ smallerDepth: Int): (List[Node[A, B]], Boolean, Boolean, Int) = {
+ if (isBlackNode(left) && isBlackNode(right)) {
unzipBoth(left.right, right.left, left :: leftZipper, right :: rightZipper, smallerDepth + 1)
- } else if (isRedTree(left) && isRedTree(right)) {
+ } else if (isRedNode(left) && isRedNode(right)) {
unzipBoth(left.right, right.left, left :: leftZipper, right :: rightZipper, smallerDepth)
- } else if (isRedTree(right)) {
+ } else if (isRedNode(right)) {
unzipBoth(left, right.left, leftZipper, right :: rightZipper, smallerDepth)
- } else if (isRedTree(left)) {
+ } else if (isRedNode(left)) {
unzipBoth(left.right, right, left :: leftZipper, rightZipper, smallerDepth)
} else if ((left eq null) && (right eq null)) {
(Nil, true, false, smallerDepth)
- } else if ((left eq null) && isBlackTree(right)) {
+ } else if ((left eq null) && isBlackNode(right)) {
val leftMost = true
(unzip(right :: rightZipper, leftMost), false, leftMost, smallerDepth)
- } else if (isBlackTree(left) && (right eq null)) {
+ } else if (isBlackNode(left) && (right eq null)) {
val leftMost = false
(unzip(left :: leftZipper, leftMost), false, leftMost, smallerDepth)
} else {
@@ -258,10 +258,10 @@ object RedBlack {
}
unzipBoth(left, right, Nil, Nil, 0)
}
- private[this] def rebalance[A, B](tree: Tree[A, B], newLeft: Tree[A, B], newRight: Tree[A, B]) = {
+ private[this] def rebalance[A, B](tree: Node[A, B], newLeft: Node[A, B], newRight: Node[A, B]) = {
// This is like drop(n-1), but only counting black nodes
- def findDepth(zipper: List[Tree[A, B]], depth: Int): List[Tree[A, B]] = zipper match {
- case head :: tail if isBlackTree(head) =>
+ def findDepth(zipper: List[Node[A, B]], depth: Int): List[Node[A, B]] = zipper match {
+ case head :: tail if isBlackNode(head) =>
if (depth == 1) zipper else findDepth(tail, depth - 1)
case _ :: tail => findDepth(tail, depth)
case Nil => sys.error("Defect: unexpected empty zipper while computing range")
@@ -274,15 +274,15 @@ object RedBlack {
val (zipper, levelled, leftMost, smallerDepth) = compareDepth(blkNewLeft, blkNewRight)
if (levelled) {
- BlackTree(tree.key, tree.value, blkNewLeft, blkNewRight)
+ BlackNode(tree.key, tree.value, blkNewLeft, blkNewRight)
} else {
val zipFrom = findDepth(zipper, smallerDepth)
val union = if (leftMost) {
- RedTree(tree.key, tree.value, blkNewLeft, zipFrom.head)
+ RedNode(tree.key, tree.value, blkNewLeft, zipFrom.head)
} else {
- RedTree(tree.key, tree.value, zipFrom.head, blkNewRight)
+ RedNode(tree.key, tree.value, zipFrom.head, blkNewRight)
}
- val zippedTree = zipFrom.tail.foldLeft(union: Tree[A, B]) { (tree, node) =>
+ val zippedTree = zipFrom.tail.foldLeft(union: Node[A, B]) { (tree, node) =>
if (leftMost)
balanceLeft(node.isBlack, node.key, node.value, tree, node.right)
else
@@ -301,47 +301,47 @@ object RedBlack {
*
* An alternative is to implement the these classes using plain old Java code...
*/
- sealed abstract class Tree[A, +B](
+ sealed abstract class Node[A, +B](
@(inline @getter) final val key: A,
@(inline @getter) final val value: B,
- @(inline @getter) final val left: Tree[A, B],
- @(inline @getter) final val right: Tree[A, B])
+ @(inline @getter) final val left: Node[A, B],
+ @(inline @getter) final val right: Node[A, B])
extends Serializable {
final val count: Int = 1 + RedBlack.count(left) + RedBlack.count(right)
def isBlack: Boolean
- def black: Tree[A, B]
- def red: Tree[A, B]
+ def black: Node[A, B]
+ def red: Node[A, B]
}
- final class RedTree[A, +B](key: A,
+ final class RedNode[A, +B](key: A,
value: B,
- left: Tree[A, B],
- right: Tree[A, B]) extends Tree[A, B](key, value, left, right) {
+ left: Node[A, B],
+ right: Node[A, B]) extends Node[A, B](key, value, left, right) {
override def isBlack = false
- override def black = BlackTree(key, value, left, right)
+ override def black = BlackNode(key, value, left, right)
override def red = this
- override def toString = "RedTree(" + key + ", " + value + ", " + left + ", " + right + ")"
+ override def toString = "RedNode(" + key + ", " + value + ", " + left + ", " + right + ")"
}
- final class BlackTree[A, +B](key: A,
+ final class BlackNode[A, +B](key: A,
value: B,
- left: Tree[A, B],
- right: Tree[A, B]) extends Tree[A, B](key, value, left, right) {
+ left: Node[A, B],
+ right: Node[A, B]) extends Node[A, B](key, value, left, right) {
override def isBlack = true
override def black = this
- override def red = RedTree(key, value, left, right)
- override def toString = "BlackTree(" + key + ", " + value + ", " + left + ", " + right + ")"
+ override def red = RedNode(key, value, left, right)
+ override def toString = "BlackNode(" + key + ", " + value + ", " + left + ", " + right + ")"
}
- object RedTree {
- @inline def apply[A, B](key: A, value: B, left: Tree[A, B], right: Tree[A, B]) = new RedTree(key, value, left, right)
- def unapply[A, B](t: RedTree[A, B]) = Some((t.key, t.value, t.left, t.right))
+ object RedNode {
+ @inline def apply[A, B](key: A, value: B, left: Node[A, B], right: Node[A, B]) = new RedNode(key, value, left, right)
+ def unapply[A, B](t: RedNode[A, B]) = Some((t.key, t.value, t.left, t.right))
}
- object BlackTree {
- @inline def apply[A, B](key: A, value: B, left: Tree[A, B], right: Tree[A, B]) = new BlackTree(key, value, left, right)
- def unapply[A, B](t: BlackTree[A, B]) = Some((t.key, t.value, t.left, t.right))
+ object BlackNode {
+ @inline def apply[A, B](key: A, value: B, left: Node[A, B], right: Node[A, B]) = new BlackNode(key, value, left, right)
+ def unapply[A, B](t: BlackNode[A, B]) = Some((t.key, t.value, t.left, t.right))
}
- private[this] abstract class TreeIterator[A, B, R](tree: Tree[A, B]) extends Iterator[R] {
- protected[this] def nextResult(tree: Tree[A, B]): R
+ private[this] abstract class TreeIterator[A, B, R](tree: Node[A, B]) extends Iterator[R] {
+ protected[this] def nextResult(tree: Node[A, B]): R
override def hasNext: Boolean = next ne null
@@ -354,7 +354,7 @@ object RedBlack {
}
@tailrec
- private[this] def findNext(tree: Tree[A, B]): Tree[A, B] = {
+ private[this] def findNext(tree: Node[A, B]): Node[A, B] = {
if (tree eq null) popPath()
else if (tree.left eq null) tree
else {
@@ -363,7 +363,7 @@ object RedBlack {
}
}
- private[this] def pushPath(tree: Tree[A, B]) {
+ private[this] def pushPath(tree: Node[A, B]) {
try {
path(index) = tree
index += 1
@@ -382,7 +382,7 @@ object RedBlack {
pushPath(tree)
}
}
- private[this] def popPath(): Tree[A, B] = if (index == 0) null else {
+ private[this] def popPath(): Node[A, B] = if (index == 0) null else {
index -= 1
path(index)
}
@@ -397,21 +397,302 @@ object RedBlack {
* We also don't store the deepest nodes in the path so the maximum path length is further reduced by one.
*/
val maximumHeight = 2 * (32 - Integer.numberOfLeadingZeros(tree.count + 2 - 1)) - 2 - 1
- new Array[Tree[A, B]](maximumHeight)
+ new Array[Node[A, B]](maximumHeight)
}
private[this] var index = 0
- private[this] var next: Tree[A, B] = findNext(tree)
+ private[this] var next: Node[A, B] = findNext(tree)
+ }
+
+ private[this] class EntriesIterator[A, B](tree: Node[A, B]) extends TreeIterator[A, B, (A, B)](tree) {
+ override def nextResult(tree: Node[A, B]) = (tree.key, tree.value)
}
- private[this] class EntriesIterator[A, B](tree: Tree[A, B]) extends TreeIterator[A, B, (A, B)](tree) {
- override def nextResult(tree: Tree[A, B]) = (tree.key, tree.value)
+ private[this] class KeysIterator[A, B](tree: Node[A, B]) extends TreeIterator[A, B, A](tree) {
+ override def nextResult(tree: Node[A, B]) = tree.key
}
- private[this] class KeysIterator[A, B](tree: Tree[A, B]) extends TreeIterator[A, B, A](tree) {
- override def nextResult(tree: Tree[A, B]) = tree.key
+ private[this] class ValuesIterator[A, B](tree: Node[A, B]) extends TreeIterator[A, B, B](tree) {
+ override def nextResult(tree: Node[A, B]) = tree.value
}
+}
+
+
+/** Old base class that was used by previous implementations of `TreeMaps` and `TreeSets`.
+ *
+ * Deprecated due to various performance bugs (see [[https://issues.scala-lang.org/browse/SI-5331 SI-5331]] for more information).
+ *
+ * @since 2.3
+ */
+@deprecated("use `TreeMap` or `TreeSet` instead", "2.10")
+@SerialVersionUID(8691885935445612921L)
+abstract class RedBlack[A] extends Serializable {
- private[this] class ValuesIterator[A, B](tree: Tree[A, B]) extends TreeIterator[A, B, B](tree) {
- override def nextResult(tree: Tree[A, B]) = tree.value
+ def isSmaller(x: A, y: A): Boolean
+
+ private def blacken[B](t: Tree[B]): Tree[B] = t match {
+ case RedTree(k, v, l, r) => BlackTree(k, v, l, r)
+ case t => t
+ }
+ private def mkTree[B](isBlack: Boolean, k: A, v: B, l: Tree[B], r: Tree[B]) =
+ if (isBlack) BlackTree(k, v, l, r) else RedTree(k, v, l, r)
+
+ abstract class Tree[+B] extends Serializable {
+ def isEmpty: Boolean
+ def isBlack: Boolean
+ def lookup(x: A): Tree[B]
+ def update[B1 >: B](k: A, v: B1): Tree[B1] = blacken(upd(k, v))
+ def delete(k: A): Tree[B] = blacken(del(k))
+ def range(from: Option[A], until: Option[A]): Tree[B] = blacken(rng(from, until))
+ def foreach[U](f: (A, B) => U)
+ def toStream: Stream[(A,B)]
+ def iterator: Iterator[(A, B)]
+ def upd[B1 >: B](k: A, v: B1): Tree[B1]
+ def del(k: A): Tree[B]
+ def smallest: NonEmpty[B]
+ def rng(from: Option[A], until: Option[A]): Tree[B]
+ def first : A
+ def last : A
+ def count : Int
+ }
+ abstract class NonEmpty[+B] extends Tree[B] with Serializable {
+ def isEmpty = false
+ def key: A
+ def value: B
+ def left: Tree[B]
+ def right: Tree[B]
+ def lookup(k: A): Tree[B] =
+ if (isSmaller(k, key)) left.lookup(k)
+ else if (isSmaller(key, k)) right.lookup(k)
+ else this
+ private[this] def balanceLeft[B1 >: B](isBlack: Boolean, z: A, zv: B, l: Tree[B1], d: Tree[B1])/*: NonEmpty[B1]*/ = l match {
+ case RedTree(y, yv, RedTree(x, xv, a, b), c) =>
+ RedTree(y, yv, BlackTree(x, xv, a, b), BlackTree(z, zv, c, d))
+ case RedTree(x, xv, a, RedTree(y, yv, b, c)) =>
+ RedTree(y, yv, BlackTree(x, xv, a, b), BlackTree(z, zv, c, d))
+ case _ =>
+ mkTree(isBlack, z, zv, l, d)
+ }
+ private[this] def balanceRight[B1 >: B](isBlack: Boolean, x: A, xv: B, a: Tree[B1], r: Tree[B1])/*: NonEmpty[B1]*/ = r match {
+ case RedTree(z, zv, RedTree(y, yv, b, c), d) =>
+ RedTree(y, yv, BlackTree(x, xv, a, b), BlackTree(z, zv, c, d))
+ case RedTree(y, yv, b, RedTree(z, zv, c, d)) =>
+ RedTree(y, yv, BlackTree(x, xv, a, b), BlackTree(z, zv, c, d))
+ case _ =>
+ mkTree(isBlack, x, xv, a, r)
+ }
+ def upd[B1 >: B](k: A, v: B1): Tree[B1] = {
+ if (isSmaller(k, key)) balanceLeft(isBlack, key, value, left.upd(k, v), right)
+ else if (isSmaller(key, k)) balanceRight(isBlack, key, value, left, right.upd(k, v))
+ else mkTree(isBlack, k, v, left, right)
+ }
+ // Based on Stefan Kahrs' Haskell version of Okasaki's Red&Black Trees
+ // http://www.cse.unsw.edu.au/~dons/data/RedBlackTree.html
+ def del(k: A): Tree[B] = {
+ def balance(x: A, xv: B, tl: Tree[B], tr: Tree[B]) = (tl, tr) match {
+ case (RedTree(y, yv, a, b), RedTree(z, zv, c, d)) =>
+ RedTree(x, xv, BlackTree(y, yv, a, b), BlackTree(z, zv, c, d))
+ case (RedTree(y, yv, RedTree(z, zv, a, b), c), d) =>
+ RedTree(y, yv, BlackTree(z, zv, a, b), BlackTree(x, xv, c, d))
+ case (RedTree(y, yv, a, RedTree(z, zv, b, c)), d) =>
+ RedTree(z, zv, BlackTree(y, yv, a, b), BlackTree(x, xv, c, d))
+ case (a, RedTree(y, yv, b, RedTree(z, zv, c, d))) =>
+ RedTree(y, yv, BlackTree(x, xv, a, b), BlackTree(z, zv, c, d))
+ case (a, RedTree(y, yv, RedTree(z, zv, b, c), d)) =>
+ RedTree(z, zv, BlackTree(x, xv, a, b), BlackTree(y, yv, c, d))
+ case (a, b) =>
+ BlackTree(x, xv, a, b)
+ }
+ def subl(t: Tree[B]) = t match {
+ case BlackTree(x, xv, a, b) => RedTree(x, xv, a, b)
+ case _ => sys.error("Defect: invariance violation; expected black, got "+t)
+ }
+ def balLeft(x: A, xv: B, tl: Tree[B], tr: Tree[B]) = (tl, tr) match {
+ case (RedTree(y, yv, a, b), c) =>
+ RedTree(x, xv, BlackTree(y, yv, a, b), c)
+ case (bl, BlackTree(y, yv, a, b)) =>
+ balance(x, xv, bl, RedTree(y, yv, a, b))
+ case (bl, RedTree(y, yv, BlackTree(z, zv, a, b), c)) =>
+ RedTree(z, zv, BlackTree(x, xv, bl, a), balance(y, yv, b, subl(c)))
+ case _ => sys.error("Defect: invariance violation at "+right)
+ }
+ def balRight(x: A, xv: B, tl: Tree[B], tr: Tree[B]) = (tl, tr) match {
+ case (a, RedTree(y, yv, b, c)) =>
+ RedTree(x, xv, a, BlackTree(y, yv, b, c))
+ case (BlackTree(y, yv, a, b), bl) =>
+ balance(x, xv, RedTree(y, yv, a, b), bl)
+ case (RedTree(y, yv, a, BlackTree(z, zv, b, c)), bl) =>
+ RedTree(z, zv, balance(y, yv, subl(a), b), BlackTree(x, xv, c, bl))
+ case _ => sys.error("Defect: invariance violation at "+left)
+ }
+ def delLeft = left match {
+ case _: BlackTree[_] => balLeft(key, value, left.del(k), right)
+ case _ => RedTree(key, value, left.del(k), right)
+ }
+ def delRight = right match {
+ case _: BlackTree[_] => balRight(key, value, left, right.del(k))
+ case _ => RedTree(key, value, left, right.del(k))
+ }
+ def append(tl: Tree[B], tr: Tree[B]): Tree[B] = (tl, tr) match {
+ case (Empty, t) => t
+ case (t, Empty) => t
+ case (RedTree(x, xv, a, b), RedTree(y, yv, c, d)) =>
+ append(b, c) match {
+ case RedTree(z, zv, bb, cc) => RedTree(z, zv, RedTree(x, xv, a, bb), RedTree(y, yv, cc, d))
+ case bc => RedTree(x, xv, a, RedTree(y, yv, bc, d))
+ }
+ case (BlackTree(x, xv, a, b), BlackTree(y, yv, c, d)) =>
+ append(b, c) match {
+ case RedTree(z, zv, bb, cc) => RedTree(z, zv, BlackTree(x, xv, a, bb), BlackTree(y, yv, cc, d))
+ case bc => balLeft(x, xv, a, BlackTree(y, yv, bc, d))
+ }
+ case (a, RedTree(x, xv, b, c)) => RedTree(x, xv, append(a, b), c)
+ case (RedTree(x, xv, a, b), c) => RedTree(x, xv, a, append(b, c))
+ }
+ // RedBlack is neither A : Ordering[A], nor A <% Ordered[A]
+ k match {
+ case _ if isSmaller(k, key) => delLeft
+ case _ if isSmaller(key, k) => delRight
+ case _ => append(left, right)
+ }
+ }
+
+ def smallest: NonEmpty[B] = if (left.isEmpty) this else left.smallest
+
+ def toStream: Stream[(A,B)] =
+ left.toStream ++ Stream((key,value)) ++ right.toStream
+
+ def iterator: Iterator[(A, B)] =
+ left.iterator ++ Iterator.single(Pair(key, value)) ++ right.iterator
+
+ def foreach[U](f: (A, B) => U) {
+ left foreach f
+ f(key, value)
+ right foreach f
+ }
+
+ override def rng(from: Option[A], until: Option[A]): Tree[B] = {
+ if (from == None && until == None) return this
+ if (from != None && isSmaller(key, from.get)) return right.rng(from, until);
+ if (until != None && (isSmaller(until.get,key) || !isSmaller(key,until.get)))
+ return left.rng(from, until);
+ val newLeft = left.rng(from, None)
+ val newRight = right.rng(None, until)
+ if ((newLeft eq left) && (newRight eq right)) this
+ else if (newLeft eq Empty) newRight.upd(key, value);
+ else if (newRight eq Empty) newLeft.upd(key, value);
+ else rebalance(newLeft, newRight)
+ }
+
+ // The zipper returned might have been traversed left-most (always the left child)
+ // or right-most (always the right child). Left trees are traversed right-most,
+ // and right trees are traversed leftmost.
+
+ // Returns the zipper for the side with deepest black nodes depth, a flag
+ // indicating whether the trees were unbalanced at all, and a flag indicating
+ // whether the zipper was traversed left-most or right-most.
+
+ // If the trees were balanced, returns an empty zipper
+ private[this] def compareDepth(left: Tree[B], right: Tree[B]): (List[NonEmpty[B]], Boolean, Boolean, Int) = {
+ // Once a side is found to be deeper, unzip it to the bottom
+ def unzip(zipper: List[NonEmpty[B]], leftMost: Boolean): List[NonEmpty[B]] = {
+ val next = if (leftMost) zipper.head.left else zipper.head.right
+ next match {
+ case node: NonEmpty[_] => unzip(node :: zipper, leftMost)
+ case Empty => zipper
+ }
+ }
+
+ // Unzip left tree on the rightmost side and right tree on the leftmost side until one is
+ // found to be deeper, or the bottom is reached
+ def unzipBoth(left: Tree[B],
+ right: Tree[B],
+ leftZipper: List[NonEmpty[B]],
+ rightZipper: List[NonEmpty[B]],
+ smallerDepth: Int): (List[NonEmpty[B]], Boolean, Boolean, Int) = (left, right) match {
+ case (l @ BlackTree(_, _, _, _), r @ BlackTree(_, _, _, _)) =>
+ unzipBoth(l.right, r.left, l :: leftZipper, r :: rightZipper, smallerDepth + 1)
+ case (l @ RedTree(_, _, _, _), r @ RedTree(_, _, _, _)) =>
+ unzipBoth(l.right, r.left, l :: leftZipper, r :: rightZipper, smallerDepth)
+ case (_, r @ RedTree(_, _, _, _)) =>
+ unzipBoth(left, r.left, leftZipper, r :: rightZipper, smallerDepth)
+ case (l @ RedTree(_, _, _, _), _) =>
+ unzipBoth(l.right, right, l :: leftZipper, rightZipper, smallerDepth)
+ case (Empty, Empty) =>
+ (Nil, true, false, smallerDepth)
+ case (Empty, r @ BlackTree(_, _, _, _)) =>
+ val leftMost = true
+ (unzip(r :: rightZipper, leftMost), false, leftMost, smallerDepth)
+ case (l @ BlackTree(_, _, _, _), Empty) =>
+ val leftMost = false
+ (unzip(l :: leftZipper, leftMost), false, leftMost, smallerDepth)
+ }
+ unzipBoth(left, right, Nil, Nil, 0)
+ }
+
+ private[this] def rebalance(newLeft: Tree[B], newRight: Tree[B]) = {
+ // This is like drop(n-1), but only counting black nodes
+ def findDepth(zipper: List[NonEmpty[B]], depth: Int): List[NonEmpty[B]] = zipper match {
+ case BlackTree(_, _, _, _) :: tail =>
+ if (depth == 1) zipper else findDepth(tail, depth - 1)
+ case _ :: tail => findDepth(tail, depth)
+ case Nil => sys.error("Defect: unexpected empty zipper while computing range")
+ }
+
+ // Blackening the smaller tree avoids balancing problems on union;
+ // this can't be done later, though, or it would change the result of compareDepth
+ val blkNewLeft = blacken(newLeft)
+ val blkNewRight = blacken(newRight)
+ val (zipper, levelled, leftMost, smallerDepth) = compareDepth(blkNewLeft, blkNewRight)
+
+ if (levelled) {
+ BlackTree(key, value, blkNewLeft, blkNewRight)
+ } else {
+ val zipFrom = findDepth(zipper, smallerDepth)
+ val union = if (leftMost) {
+ RedTree(key, value, blkNewLeft, zipFrom.head)
+ } else {
+ RedTree(key, value, zipFrom.head, blkNewRight)
+ }
+ val zippedTree = zipFrom.tail.foldLeft(union: Tree[B]) { (tree, node) =>
+ if (leftMost)
+ balanceLeft(node.isBlack, node.key, node.value, tree, node.right)
+ else
+ balanceRight(node.isBlack, node.key, node.value, node.left, tree)
+ }
+ zippedTree
+ }
+ }
+ def first = if (left .isEmpty) key else left.first
+ def last = if (right.isEmpty) key else right.last
+ def count = 1 + left.count + right.count
+ }
+ case object Empty extends Tree[Nothing] {
+ def isEmpty = true
+ def isBlack = true
+ def lookup(k: A): Tree[Nothing] = this
+ def upd[B](k: A, v: B): Tree[B] = RedTree(k, v, Empty, Empty)
+ def del(k: A): Tree[Nothing] = this
+ def smallest: NonEmpty[Nothing] = throw new NoSuchElementException("empty map")
+ def iterator: Iterator[(A, Nothing)] = Iterator.empty
+ def toStream: Stream[(A,Nothing)] = Stream.empty
+
+ def foreach[U](f: (A, Nothing) => U) {}
+
+ def rng(from: Option[A], until: Option[A]) = this
+ def first = throw new NoSuchElementException("empty map")
+ def last = throw new NoSuchElementException("empty map")
+ def count = 0
+ }
+ case class RedTree[+B](override val key: A,
+ override val value: B,
+ override val left: Tree[B],
+ override val right: Tree[B]) extends NonEmpty[B] {
+ def isBlack = false
+ }
+ case class BlackTree[+B](override val key: A,
+ override val value: B,
+ override val left: Tree[B],
+ override val right: Tree[B]) extends NonEmpty[B] {
+ def isBlack = true
}
}
diff --git a/src/library/scala/collection/immutable/TreeMap.scala b/src/library/scala/collection/immutable/TreeMap.scala
index 65e42ad061..50244ef21d 100644
--- a/src/library/scala/collection/immutable/TreeMap.scala
+++ b/src/library/scala/collection/immutable/TreeMap.scala
@@ -45,7 +45,7 @@ object TreeMap extends ImmutableSortedMapFactory[TreeMap] {
* @define mayNotTerminateInf
* @define willNotTerminateInf
*/
-class TreeMap[A, +B] private (tree: RedBlack.Tree[A, B])(implicit val ordering: Ordering[A])
+class TreeMap[A, +B] private (tree: RedBlack.Node[A, B])(implicit val ordering: Ordering[A])
extends SortedMap[A, B]
with SortedMapLike[A, B, TreeMap[A, B]]
with MapLike[A, B, TreeMap[A, B]]
diff --git a/src/library/scala/collection/immutable/TreeSet.scala b/src/library/scala/collection/immutable/TreeSet.scala
index f7ceafdf8f..899ef0e5eb 100644
--- a/src/library/scala/collection/immutable/TreeSet.scala
+++ b/src/library/scala/collection/immutable/TreeSet.scala
@@ -47,7 +47,7 @@ object TreeSet extends ImmutableSortedSetFactory[TreeSet] {
* @define willNotTerminateInf
*/
@SerialVersionUID(-5685982407650748405L)
-class TreeSet[A] private (tree: RedBlack.Tree[A, Unit])(implicit val ordering: Ordering[A])
+class TreeSet[A] private (tree: RedBlack.Node[A, Unit])(implicit val ordering: Ordering[A])
extends SortedSet[A] with SortedSetLike[A, TreeSet[A]] with Serializable {
import immutable.{RedBlack => RB}
@@ -105,7 +105,7 @@ class TreeSet[A] private (tree: RedBlack.Tree[A, Unit])(implicit val ordering: O
def this()(implicit ordering: Ordering[A]) = this(null)(ordering)
- private def newSet(t: RedBlack.Tree[A, Unit]) = new TreeSet[A](t)
+ private def newSet(t: RedBlack.Node[A, Unit]) = new TreeSet[A](t)
/** A factory to create empty sets of the same type of keys.
*/
diff --git a/test/files/scalacheck/redblack.scala b/test/files/scalacheck/redblack.scala
index 5c52a27e38..83d3ca0c1f 100644
--- a/test/files/scalacheck/redblack.scala
+++ b/test/files/scalacheck/redblack.scala
@@ -22,14 +22,14 @@ abstract class RedBlackTest extends Properties("RedBlack") {
import RedBlack._
- def nodeAt[A](tree: Tree[String, A], n: Int): Option[(String, A)] = if (n < iterator(tree).size && n >= 0)
+ def nodeAt[A](tree: Node[String, A], n: Int): Option[(String, A)] = if (n < iterator(tree).size && n >= 0)
Some(iterator(tree).drop(n).next)
else
None
- def treeContains[A](tree: Tree[String, A], key: String) = iterator(tree).map(_._1) contains key
+ def treeContains[A](tree: Node[String, A], key: String) = iterator(tree).map(_._1) contains key
- def mkTree(level: Int, parentIsBlack: Boolean = false, label: String = ""): Gen[Tree[String, Int]] =
+ def mkTree(level: Int, parentIsBlack: Boolean = false, label: String = ""): Gen[Node[String, Int]] =
if (level == 0) {
value(null)
} else {
@@ -42,9 +42,9 @@ abstract class RedBlackTest extends Properties("RedBlack") {
right <- mkTree(nextLevel, !isRed, label + "R")
} yield {
if (isRed)
- RedTree(label + "N", 0, left, right)
+ RedNode(label + "N", 0, left, right)
else
- BlackTree(label + "N", 0, left, right)
+ BlackNode(label + "N", 0, left, right)
}
}
@@ -54,10 +54,10 @@ abstract class RedBlackTest extends Properties("RedBlack") {
} yield tree
type ModifyParm
- def genParm(tree: Tree[String, Int]): Gen[ModifyParm]
- def modify(tree: Tree[String, Int], parm: ModifyParm): Tree[String, Int]
+ def genParm(tree: Node[String, Int]): Gen[ModifyParm]
+ def modify(tree: Node[String, Int], parm: ModifyParm): Node[String, Int]
- def genInput: Gen[(Tree[String, Int], ModifyParm, Tree[String, Int])] = for {
+ def genInput: Gen[(Node[String, Int], ModifyParm, Node[String, Int])] = for {
tree <- genTree
parm <- genParm(tree)
} yield (tree, parm, modify(tree, parm))
@@ -68,26 +68,26 @@ trait RedBlackInvariants {
import RedBlack._
- def rootIsBlack[A](t: Tree[String, A]) = isBlack(t)
+ def rootIsBlack[A](t: Node[String, A]) = isBlack(t)
- def areAllLeavesBlack[A](t: Tree[String, A]): Boolean = t match {
+ def areAllLeavesBlack[A](t: Node[String, A]): Boolean = t match {
case null => isBlack(t)
case ne => List(ne.left, ne.right) forall areAllLeavesBlack
}
- def areRedNodeChildrenBlack[A](t: Tree[String, A]): Boolean = t match {
- case RedTree(_, _, left, right) => List(left, right) forall (t => isBlack(t) && areRedNodeChildrenBlack(t))
- case BlackTree(_, _, left, right) => List(left, right) forall areRedNodeChildrenBlack
+ def areRedNodeChildrenBlack[A](t: Node[String, A]): Boolean = t match {
+ case RedNode(_, _, left, right) => List(left, right) forall (t => isBlack(t) && areRedNodeChildrenBlack(t))
+ case BlackNode(_, _, left, right) => List(left, right) forall areRedNodeChildrenBlack
case null => true
}
- def blackNodesToLeaves[A](t: Tree[String, A]): List[Int] = t match {
+ def blackNodesToLeaves[A](t: Node[String, A]): List[Int] = t match {
case null => List(1)
- case BlackTree(_, _, left, right) => List(left, right) flatMap blackNodesToLeaves map (_ + 1)
- case RedTree(_, _, left, right) => List(left, right) flatMap blackNodesToLeaves
+ case BlackNode(_, _, left, right) => List(left, right) flatMap blackNodesToLeaves map (_ + 1)
+ case RedNode(_, _, left, right) => List(left, right) flatMap blackNodesToLeaves
}
- def areBlackNodesToLeavesEqual[A](t: Tree[String, A]): Boolean = t match {
+ def areBlackNodesToLeavesEqual[A](t: Node[String, A]): Boolean = t match {
case null => true
case ne =>
(
@@ -97,10 +97,10 @@ trait RedBlackInvariants {
)
}
- def orderIsPreserved[A](t: Tree[String, A]): Boolean =
+ def orderIsPreserved[A](t: Node[String, A]): Boolean =
iterator(t) zip iterator(t).drop(1) forall { case (x, y) => x._1 < y._1 }
- def setup(invariant: Tree[String, Int] => Boolean) = forAll(genInput) { case (tree, parm, newTree) =>
+ def setup(invariant: Node[String, Int] => Boolean) = forAll(genInput) { case (tree, parm, newTree) =>
invariant(newTree)
}
@@ -115,10 +115,10 @@ object TestInsert extends RedBlackTest with RedBlackInvariants {
import RedBlack._
override type ModifyParm = Int
- override def genParm(tree: Tree[String, Int]): Gen[ModifyParm] = choose(0, iterator(tree).size + 1)
- override def modify(tree: Tree[String, Int], parm: ModifyParm): Tree[String, Int] = update(tree, generateKey(tree, parm), 0)
+ override def genParm(tree: Node[String, Int]): Gen[ModifyParm] = choose(0, iterator(tree).size + 1)
+ override def modify(tree: Node[String, Int], parm: ModifyParm): Node[String, Int] = update(tree, generateKey(tree, parm), 0)
- def generateKey(tree: Tree[String, Int], parm: ModifyParm): String = nodeAt(tree, parm) match {
+ def generateKey(tree: Node[String, Int], parm: ModifyParm): String = nodeAt(tree, parm) match {
case Some((key, _)) => key.init.mkString + "MN"
case None => nodeAt(tree, parm - 1) match {
case Some((key, _)) => key.init.mkString + "RN"
@@ -137,8 +137,8 @@ object TestModify extends RedBlackTest {
def newValue = 1
override def minimumSize = 1
override type ModifyParm = Int
- override def genParm(tree: Tree[String, Int]): Gen[ModifyParm] = choose(0, iterator(tree).size)
- override def modify(tree: Tree[String, Int], parm: ModifyParm): Tree[String, Int] = nodeAt(tree, parm) map {
+ override def genParm(tree: Node[String, Int]): Gen[ModifyParm] = choose(0, iterator(tree).size)
+ override def modify(tree: Node[String, Int], parm: ModifyParm): Node[String, Int] = nodeAt(tree, parm) map {
case (key, _) => update(tree, key, newValue)
} getOrElse tree
@@ -154,8 +154,8 @@ object TestDelete extends RedBlackTest with RedBlackInvariants {
override def minimumSize = 1
override type ModifyParm = Int
- override def genParm(tree: Tree[String, Int]): Gen[ModifyParm] = choose(0, iterator(tree).size)
- override def modify(tree: Tree[String, Int], parm: ModifyParm): Tree[String, Int] = nodeAt(tree, parm) map {
+ override def genParm(tree: Node[String, Int]): Gen[ModifyParm] = choose(0, iterator(tree).size)
+ override def modify(tree: Node[String, Int], parm: ModifyParm): Node[String, Int] = nodeAt(tree, parm) map {
case (key, _) => delete(tree, key)
} getOrElse tree
@@ -170,14 +170,14 @@ object TestRange extends RedBlackTest with RedBlackInvariants {
import RedBlack._
override type ModifyParm = (Option[Int], Option[Int])
- override def genParm(tree: Tree[String, Int]): Gen[ModifyParm] = for {
+ override def genParm(tree: Node[String, Int]): Gen[ModifyParm] = for {
from <- choose(0, iterator(tree).size)
to <- choose(0, iterator(tree).size) suchThat (from <=)
optionalFrom <- oneOf(Some(from), None, Some(from)) // Double Some(n) to get around a bug
optionalTo <- oneOf(Some(to), None, Some(to)) // Double Some(n) to get around a bug
} yield (optionalFrom, optionalTo)
- override def modify(tree: Tree[String, Int], parm: ModifyParm): Tree[String, Int] = {
+ override def modify(tree: Node[String, Int], parm: ModifyParm): Node[String, Int] = {
val from = parm._1 flatMap (nodeAt(tree, _) map (_._1))
val to = parm._2 flatMap (nodeAt(tree, _) map (_._1))
range(tree, from, to)