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authorPaul Phillips <paulp@improving.org>2010-05-06 16:37:13 +0000
committerPaul Phillips <paulp@improving.org>2010-05-06 16:37:13 +0000
commitc55b106f503d5e712e69823cfeb1cab2460221eb (patch)
treea1af091d9a2eeb16ee4747930511db4996c47140 /test/disabled/scalacheck
parentcb35c38f14f6a53c38966bde8e64dcfa9af17918 (diff)
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Rolled partest back to r21328.
changes necessary to plug it back in while preserving everything which has happened since then in tests and such, but we should be the lookout for overreversion. Review by phaller (but as a formality, I don't think it requires direct review.)
Diffstat (limited to 'test/disabled/scalacheck')
-rw-r--r--test/disabled/scalacheck/redblack.scala157
1 files changed, 157 insertions, 0 deletions
diff --git a/test/disabled/scalacheck/redblack.scala b/test/disabled/scalacheck/redblack.scala
new file mode 100644
index 0000000000..0334c1218d
--- /dev/null
+++ b/test/disabled/scalacheck/redblack.scala
@@ -0,0 +1,157 @@
+import org.scalacheck._
+import Prop._
+import Gen._
+
+/*
+Properties of a Red & Black Tree:
+
+A node is either red or black.
+The root is black. (This rule is used in some definitions and not others. Since the
+root can always be changed from red to black but not necessarily vice-versa this
+rule has little effect on analysis.)
+All leaves are black.
+Both children of every red node are black.
+Every simple path from a given node to any of its descendant leaves contains the same number of black nodes.
+*/
+
+abstract class RedBlackTest extends Properties("RedBlack") {
+ object RedBlackTest extends scala.collection.immutable.RedBlack[Int] {
+ def isSmaller(x: Int, y: Int) = x < y
+ }
+
+ import RedBlackTest._
+
+ def rootIsBlack[A](t: Tree[A]) = t.isBlack
+
+ def areAllLeavesBlack[A](t: Tree[A]): Boolean = t match {
+ case Empty => t.isBlack
+ case ne: NonEmpty[_] => List(ne.left, ne.right) forall areAllLeavesBlack
+ }
+
+ def areRedNodeChildrenBlack[A](t: Tree[A]): Boolean = t match {
+ case RedTree(_, _, left, right) => List(left, right) forall (t => t.isBlack && areRedNodeChildrenBlack(t))
+ case BlackTree(_, _, left, right) => List(left, right) forall areRedNodeChildrenBlack
+ case Empty => true
+ }
+
+ def blackNodesToLeaves[A](t: Tree[A]): List[Int] = t match {
+ case Empty => List(1)
+ case BlackTree(_, _, left, right) => List(left, right) flatMap blackNodesToLeaves map (_ + 1)
+ case RedTree(_, _, left, right) => List(left, right) flatMap blackNodesToLeaves
+ }
+
+ def areBlackNodesToLeavesEqual[A](t: Tree[A]): Boolean = t match {
+ case Empty => true
+ case ne: NonEmpty[_] =>
+ (
+ blackNodesToLeaves(ne).removeDuplicates.size == 1
+ && areBlackNodesToLeavesEqual(ne.left)
+ && areBlackNodesToLeavesEqual(ne.right)
+ )
+ }
+
+ def orderIsPreserved[A](t: Tree[A]): Boolean = t match {
+ case Empty => true
+ case ne: NonEmpty[_] =>
+ (
+ (ne.left.iterator map (_._1) forall (isSmaller(_, ne.key)))
+ && (ne.right.iterator map (_._1) forall (isSmaller(ne.key, _)))
+ && (List(ne.left, ne.right) forall orderIsPreserved)
+ )
+ }
+
+ def setup(l: List[Int], invariant: Tree[Unit] => Boolean): (Boolean, Tree[Unit])
+
+ def listNoRepetitions(size: Int) = for {
+ s <- Gen.choose(1, size)
+ l <- Gen.listOfN(size, Gen.choose(0, Int.MaxValue)) suchThat (l => l.size == l.removeDuplicates.size)
+ } yield l
+ def listFewRepetitions(size: Int) = for {
+ s <- Gen.choose(1, size)
+ l <- Gen.listOfN(s, Gen.choose(0, size * 4)) suchThat (l => l.size != l.removeDuplicates.size)
+ } yield l
+ def listManyRepetitions(size: Int) = for {
+ s <- Gen.choose(1, size)
+ l <- Gen.listOfN(s, Gen.choose(0, size)) suchThat (l => l.size != l.removeDuplicates.size)
+ } yield l
+ def listEvenRepetitions(size: Int) = listFewRepetitions(size) map (x =>
+ scala.util.Random.shuffle(x zip x flatMap { case (a, b) => List(a, b) })
+ )
+
+ // Arbitrarily weighted list distribution types
+ val seqType: Gen[Int => Gen[List[Int]]]
+
+ def myGen(sized: Int) = for {
+ size <- Gen.choose(0, sized)
+ seq <- seqType
+ list <- seq(size)
+ } yield list
+
+ property("root is black") = forAll(myGen(10)) { l =>
+ setup(l, rootIsBlack)._1 :| setup(l, rootIsBlack)._2.toString
+ }
+ property("all leaves are black") = forAll(myGen(50)) { l =>
+ setup(l, areAllLeavesBlack)._1 :| setup(l, areAllLeavesBlack)._2.toString
+ }
+ property("children of red nodes are black") = forAll(myGen(50)) { l =>
+ setup(l, areRedNodeChildrenBlack)._1 :| setup(l, areRedNodeChildrenBlack)._2.toString
+ }
+ property("Every path from a node to its descendant leaves contains the same number of black nodes") = forAll(myGen(50)) { l =>
+ setup(l, areBlackNodesToLeavesEqual)._1 :| setup(l, areBlackNodesToLeavesEqual)._2.toString
+ }
+ property("Ordering of keys is preserved") = forAll(myGen(50)) { l =>
+ setup(l, orderIsPreserved)._1 :| setup(l, orderIsPreserved)._2.toString
+ }
+}
+
+object TestInsertion extends RedBlackTest {
+ import RedBlackTest._
+ override val seqType = Gen.frequency(
+ (1, listNoRepetitions _),
+ (1, listManyRepetitions _)
+ )
+
+ property("update adds elements") = forAll(myGen(50)) { l =>
+ val tree = l.foldLeft(Empty: Tree[Unit])((acc, n) => acc update (n, ()))
+ forAll(Gen.pick(1, l)) ( n => !(tree lookup n.head isEmpty) :| "Tree: "+tree+" N: "+n.head )
+ }
+
+ override def setup(l: List[Int], invariant: Tree[Unit] => Boolean) = l.foldLeft((true, Empty: Tree[Unit])) {
+ case ((true, acc), n) =>
+ val newRoot = acc update (n, ())
+ (invariant(newRoot), newRoot)
+ case (failed, _) => failed
+ }
+}
+
+object TestDeletion extends RedBlackTest {
+ import RedBlackTest._
+ override val seqType = Gen.frequency(
+ (2, listFewRepetitions _),
+ (3, listManyRepetitions _),
+ (1, listEvenRepetitions _)
+ )
+
+ property("delete removes elements") = forAll(myGen(50)) { l =>
+ val tree = l.foldLeft(Empty: Tree[Unit])((acc, n) => acc update (n, ()))
+ forAll(Gen.choose(1, l.size)) { numberOfElementsToRemove =>
+ forAll(Gen.pick(numberOfElementsToRemove, l)) { elementsToRemove =>
+ val newTree = elementsToRemove.foldLeft(tree)((acc, n) => acc delete n)
+ (elementsToRemove forall (n => newTree lookup n isEmpty)) :| "Tree: "+tree+"New Tree: "+newTree+" Elements to Remove: "+elementsToRemove
+ }
+ }
+ }
+
+ override def setup(l: List[Int], invariant: Tree[Unit] => Boolean) = l.foldLeft((true, Empty: Tree[Unit])) {
+ case ((true, acc), n) =>
+ val newRoot = if (acc lookup n isEmpty) acc update (n, ()) else acc delete n
+ (invariant(newRoot), newRoot)
+ case (failed, _) => failed
+ }
+}
+
+object Test extends Properties("RedBlack") {
+ include(TestInsertion)
+ include(TestDeletion)
+}
+