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-rw-r--r--test/files/scalacheck/redblack.scala157
1 files changed, 0 insertions, 157 deletions
diff --git a/test/files/scalacheck/redblack.scala b/test/files/scalacheck/redblack.scala
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index 0334c1218d..0000000000
--- a/test/files/scalacheck/redblack.scala
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@@ -1,157 +0,0 @@
-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)
-}
-