diff options
Diffstat (limited to 'src')
3 files changed, 122 insertions, 62 deletions
diff --git a/src/compiler/scala/tools/nsc/transform/patmat/Logic.scala b/src/compiler/scala/tools/nsc/transform/patmat/Logic.scala index 75d2cfe0f2..9f24d5122a 100644 --- a/src/compiler/scala/tools/nsc/transform/patmat/Logic.scala +++ b/src/compiler/scala/tools/nsc/transform/patmat/Logic.scala @@ -370,9 +370,11 @@ trait Logic extends Debugging { val EmptyModel: Model val NoModel: Model + final case class Solution(model: Model, unassigned: List[Sym]) + def findModelFor(solvable: Solvable): Model - def findAllModelsFor(solvable: Solvable): List[Model] + def findAllModelsFor(solvable: Solvable): List[Solution] } } diff --git a/src/compiler/scala/tools/nsc/transform/patmat/MatchAnalysis.scala b/src/compiler/scala/tools/nsc/transform/patmat/MatchAnalysis.scala index 87037b7ccc..d3a5507273 100644 --- a/src/compiler/scala/tools/nsc/transform/patmat/MatchAnalysis.scala +++ b/src/compiler/scala/tools/nsc/transform/patmat/MatchAnalysis.scala @@ -6,6 +6,8 @@ package scala.tools.nsc.transform.patmat +import scala.annotation.tailrec +import scala.collection.immutable.{IndexedSeq, Iterable} import scala.language.postfixOps import scala.collection.mutable import scala.reflect.internal.util.Statistics @@ -514,8 +516,16 @@ trait MatchAnalysis extends MatchApproximation { // find the models (under which the match fails) val matchFailModels = findAllModelsFor(propToSolvable(matchFails)) + val scrutVar = Var(prevBinderTree) - val counterExamples = matchFailModels.flatMap(modelToCounterExample(scrutVar)) + val counterExamples = { + matchFailModels.flatMap { + model => + val varAssignments = expandModel(model) + varAssignments.flatMap(modelToCounterExample(scrutVar) _) + } + } + // sorting before pruning is important here in order to // keep neg/t7020.scala stable // since e.g. List(_, _) would cover List(1, _) @@ -587,6 +597,8 @@ trait MatchAnalysis extends MatchApproximation { case object WildcardExample extends CounterExample { override def toString = "_" } case object NoExample extends CounterExample { override def toString = "??" } + // returns a mapping from variable to + // equal and notEqual symbols def modelToVarAssignment(model: Model): Map[Var, (Seq[Const], Seq[Const])] = model.toSeq.groupBy{f => f match {case (sym, value) => sym.variable} }.mapValues{ xs => val (trues, falses) = xs.partition(_._2) @@ -600,20 +612,110 @@ trait MatchAnalysis extends MatchApproximation { v +"(="+ v.path +": "+ v.staticTpCheckable +") "+ assignment }.mkString("\n") - // return constructor call when the model is a true counter example - // (the variables don't take into account type information derived from other variables, - // so, naively, you might try to construct a counter example like _ :: Nil(_ :: _, _ :: _), - // since we didn't realize the tail of the outer cons was a Nil) - def modelToCounterExample(scrutVar: Var)(model: Model): Option[CounterExample] = { + /** + * The models we get from the DPLL solver need to be mapped back to counter examples. + * However there's no precalculated mapping model -> counter example. Even worse, + * not every valid model corresponds to a valid counter example. + * The reason is that restricting the valid models further would for example require + * a quadratic number of additional clauses. So to keep the optimistic case fast + * (i.e., all cases are covered in a pattern match), the infeasible counter examples + * are filtered later. + * + * The DPLL procedure keeps the literals that do not contribute to the solution + * unassigned, e.g., for `(a \/ b)` + * only {a = true} or {b = true} is required and the other variable can have any value. + * + * This function does a smart expansion of the model and avoids models that + * have conflicting mappings. + * + * For example for in case of the given set of symbols (taken from `t7020.scala`): + * "V2=2#16" + * "V2=6#19" + * "V2=5#18" + * "V2=4#17" + * "V2=7#20" + * + * One possibility would be to group the symbols by domain but + * this would only work for equality tests and would not be compatible + * with type tests. + * Another observation leads to a much simpler algorithm: + * Only one of these symbols can be set to true, + * since `V2` can at most be equal to one of {2,6,5,4,7}. + */ + def expandModel(solution: Solution): List[Map[Var, (Seq[Const], Seq[Const])]] = { + + val model = solution.model + // x1 = ... // x1.hd = ... // x1.tl = ... // x1.hd.hd = ... // ... val varAssignment = modelToVarAssignment(model) + debug.patmat("var assignment for model " + model + ":\n" + varAssignmentString(varAssignment)) + + // group symbols that assign values to the same variables (i.e., symbols are mutually exclusive) + // (thus the groups are sets of disjoint assignments to variables) + val groupedByVar: Map[Var, List[Sym]] = solution.unassigned.groupBy(_.variable) + + val expanded = for { + (variable, syms) <- groupedByVar.toList + } yield { + + val (equal, notEqual) = varAssignment.getOrElse(variable, Nil -> Nil) + + def addVarAssignment(equalTo: List[Const], notEqualTo: List[Const]) = { + Map(variable ->(equal ++ equalTo, notEqual ++ notEqualTo)) + } + + // this assignment is needed in case that + // there exists already an assign + val allNotEqual = addVarAssignment(Nil, syms.map(_.const)) - debug.patmat("var assignment for model "+ model +":\n"+ varAssignmentString(varAssignment)) + // this assignment is conflicting on purpose: + // a list counter example could contain wildcards: e.g. `List(_,_)` + val allEqual = addVarAssignment(syms.map(_.const), Nil) + if(equal.isEmpty) { + val oneHot = for { + s <- syms + } yield { + addVarAssignment(List(s.const), syms.filterNot(_ == s).map(_.const)) + } + allEqual :: allNotEqual :: oneHot + } else { + allEqual :: allNotEqual :: Nil + } + } + + if (expanded.isEmpty) { + List(varAssignment) + } else { + // we need the cartesian product here, + // since we want to report all missing cases + // (i.e., combinations) + val cartesianProd = expanded.reduceLeft((xs, ys) => + for {map1 <- xs + map2 <- ys} yield { + map1 ++ map2 + }) + + // add expanded variables + // note that we can just use `++` + // since the Maps have disjoint keySets + for { + m <- cartesianProd + } yield { + varAssignment ++ m + } + } + } + + // return constructor call when the model is a true counter example + // (the variables don't take into account type information derived from other variables, + // so, naively, you might try to construct a counter example like _ :: Nil(_ :: _, _ :: _), + // since we didn't realize the tail of the outer cons was a Nil) + def modelToCounterExample(scrutVar: Var)(varAssignment: Map[Var, (Seq[Const], Seq[Const])]): Option[CounterExample] = { // chop a path into a list of symbols def chop(path: Tree): List[Symbol] = path match { case Ident(_) => List(path.symbol) @@ -742,7 +844,7 @@ trait MatchAnalysis extends MatchApproximation { // then we can safely ignore these counter examples since we will eventually encounter // both counter examples separately case _ if inSameDomain => None - + // not a valid counter-example, possibly since we have a definite type but there was a field mismatch // TODO: improve reasoning -- in the mean time, a false negative is better than an annoying false positive case _ => Some(NoExample) diff --git a/src/compiler/scala/tools/nsc/transform/patmat/Solving.scala b/src/compiler/scala/tools/nsc/transform/patmat/Solving.scala index 1ba13c0617..27217f0dc2 100644 --- a/src/compiler/scala/tools/nsc/transform/patmat/Solving.scala +++ b/src/compiler/scala/tools/nsc/transform/patmat/Solving.scala @@ -288,7 +288,7 @@ trait Solving extends Logic { val NoTseitinModel: TseitinModel = null // returns all solutions, if any (TODO: better infinite recursion backstop -- detect fixpoint??) - def findAllModelsFor(solvable: Solvable): List[Model] = { + def findAllModelsFor(solvable: Solvable): List[Solution] = { debug.patmat("find all models for\n"+ cnfString(solvable.cnf)) // we must take all vars from non simplified formula @@ -305,54 +305,12 @@ trait Solving extends Logic { relevantLits.map(lit => -lit) } - /** - * The DPLL procedure only returns a minimal mapping from literal to value - * such that the CNF formula is satisfied. - * E.g. for: - * `(a \/ b)` - * The DPLL procedure will find either {a = true} or {b = true} - * as solution. - * - * The expansion step will amend both solutions with the unassigned variable - * i.e., {a = true} will be expanded to {a = true, b = true} and {a = true, b = false}. - */ - def expandUnassigned(unassigned: List[Int], model: TseitinModel): List[TseitinModel] = { - // the number of solutions is doubled for every unassigned variable - val expandedModels = 1 << unassigned.size - var current = mutable.ArrayBuffer[TseitinModel]() - var next = mutable.ArrayBuffer[TseitinModel]() - current.sizeHint(expandedModels) - next.sizeHint(expandedModels) - - current += model - - // we use double buffering: - // read from `current` and create a two models for each model in `next` - for { - s <- unassigned - } { - for { - model <- current - } { - def force(l: Lit) = model + l - - next += force(Lit(s)) - next += force(Lit(-s)) - } - - val tmp = current - current = next - next = tmp - - next.clear() - } - - current.toList + final case class TseitinSolution(model: TseitinModel, unassigned: List[Int]) { + def projectToSolution(symForVar: Map[Int, Sym]) = Solution(projectToModel(model, symForVar), unassigned map symForVar) } - def findAllModels(clauses: Array[Clause], - models: List[TseitinModel], - recursionDepthAllowed: Int = global.settings.YpatmatExhaustdepth.value): List[TseitinModel]= + models: List[TseitinSolution], + recursionDepthAllowed: Int = global.settings.YpatmatExhaustdepth.value): List[TseitinSolution]= if (recursionDepthAllowed == 0) { val maxDPLLdepth = global.settings.YpatmatExhaustdepth.value reportWarning("(Exhaustivity analysis reached max recursion depth, not all missing cases are reported. " + @@ -368,17 +326,15 @@ trait Solving extends Logic { val unassigned: List[Int] = (relevantVars -- model.map(lit => lit.variable)).toList debug.patmat("unassigned "+ unassigned +" in "+ model) - val forced = expandUnassigned(unassigned, model) - debug.patmat("forced "+ forced) + val solution = TseitinSolution(model, unassigned) val negated = negateModel(model) - findAllModels(clauses :+ negated, forced ++ models, recursionDepthAllowed - 1) + findAllModels(clauses :+ negated, solution :: models, recursionDepthAllowed - 1) } else models } - val tseitinModels: List[TseitinModel] = findAllModels(solvable.cnf, Nil) - val models: List[Model] = tseitinModels.map(projectToModel(_, solvable.symbolMapping.symForVar)) - models + val tseitinSolutions = findAllModels(solvable.cnf, Nil) + tseitinSolutions.map(_.projectToSolution(solvable.symbolMapping.symForVar)) } private def withLit(res: TseitinModel, l: Lit): TseitinModel = { |