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|
package scala.tools.nsc.transform.patmat
import org.junit.Assert._
import org.junit.Test
import org.junit.runner.RunWith
import org.junit.runners.JUnit4
import scala.collection.mutable
import scala.tools.nsc.{Global, Settings}
object TestSolver extends Logic with Solving {
val global: Global = new Global(new Settings())
// disable max recursion depth in order to get all solutions
global.settings.YpatmatExhaustdepth.tryToSet("off" :: Nil)
object TestSolver extends Solver {
class Const {
override def toString: String = "Const"
}
val NullConst = new Const
type Type = Int
case class TypeConst(i: Int) extends Const
object TypeConst extends TypeConstExtractor
case class ValueConst(i: Int) extends Const
object ValueConst extends ValueConstExtractor {
def apply(t: Tree): Const = ???
}
case class Tree(name: String)
class Var(val x: Tree) extends AbsVar {
override def equals(other: scala.Any): Boolean = other match {
case that: Var => this.x == that.x
case _ => false
}
override def hashCode(): Int = x.hashCode()
override def toString: String = {
s"Var($x)"
}
def domainSyms = None
def implications = Nil
def mayBeNull = false
def propForEqualsTo(c: Const): Prop = ???
def registerEquality(c: Const) = ()
def registerNull() = ()
def symForStaticTp = None
}
object Var extends VarExtractor {
def apply(x: Tree): Var = new Var(x)
def unapply(v: Var): Some[Tree] = Some(v.x)
}
def prepareNewAnalysis() = {}
def reportWarning(msg: String) = sys.error(msg)
/**
* 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(solution: Solution): List[Model] = {
import solution._
// the number of solutions is doubled for every unassigned variable
val expandedModels = 1 << unassigned.size
var current = mutable.ArrayBuffer[Model]()
var next = mutable.ArrayBuffer[Model]()
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(s: Sym, pol: Boolean) = model + (s -> pol)
next += force(s, pol = true)
next += force(s, pol = false)
}
val tmp = current
current = next
next = tmp
next.clear()
}
current.toList
}
/**
* Old CNF conversion code, used for reference:
* - convert formula into NNF
* (i.e., no negated terms, only negated variables)
* - use distributive laws to convert into CNF
*/
def eqFreePropToSolvableViaDistribution(p: Prop) = {
val symbolMapping = new SymbolMapping(gatherSymbols(p))
type Formula = Array[TestSolver.Clause]
def formula(c: Clause*): Formula = c.toArray
def merge(a: Clause, b: Clause) = a ++ b
def negationNormalFormNot(p: Prop): Prop = p match {
case And(ps) => Or(ps map negationNormalFormNot)
case Or(ps) => And(ps map negationNormalFormNot)
case Not(p) => negationNormalForm(p)
case True => False
case False => True
case s: Sym => Not(s)
}
def negationNormalForm(p: Prop): Prop = p match {
case Or(ps) => Or(ps map negationNormalForm)
case And(ps) => And(ps map negationNormalForm)
case Not(negated) => negationNormalFormNot(negated)
case True
| False
| (_: Sym) => p
}
val TrueF: Formula = Array()
val FalseF = Array(clause())
def lit(sym: Sym) = Array(clause(symbolMapping.lit(sym)))
def negLit(sym: Sym) = Array(clause(-symbolMapping.lit(sym)))
def conjunctiveNormalForm(p: Prop): Formula = {
def distribute(a: Formula, b: Formula): Formula =
(a, b) match {
// true \/ _ = true
// _ \/ true = true
case (trueA, trueB) if trueA.size == 0 || trueB.size == 0 => TrueF
// lit \/ lit
case (a, b) if a.size == 1 && b.size == 1 => formula(merge(a(0), b(0)))
// (c1 /\ ... /\ cn) \/ d = ((c1 \/ d) /\ ... /\ (cn \/ d))
// d \/ (c1 /\ ... /\ cn) = ((d \/ c1) /\ ... /\ (d \/ cn))
case (cs, ds) =>
val (big, small) = if (cs.size > ds.size) (cs, ds) else (ds, cs)
big flatMap (c => distribute(formula(c), small))
}
p match {
case True => TrueF
case False => FalseF
case s: Sym => lit(s)
case Not(s: Sym) => negLit(s)
case And(ps) =>
ps.toArray flatMap conjunctiveNormalForm
case Or(ps) =>
ps map conjunctiveNormalForm reduceLeft { (a, b) =>
distribute(a, b)
}
}
}
val cnf = conjunctiveNormalForm(negationNormalForm(p))
Solvable(cnf, symbolMapping)
}
}
}
/**
* Testing CNF conversion via Tseitin vs NNF & expansion.
*/
@RunWith(classOf[JUnit4])
class SolvingTest {
import scala.tools.nsc.transform.patmat.TestSolver.TestSolver._
implicit val Ord: Ordering[TestSolver.TestSolver.Model] = Ordering.by {
_.toSeq.sortBy(_.toString()).toIterable
}
private def sym(name: String) = Sym(Var(Tree(name)), NullConst)
@Test
def testSymCreation() {
val s1 = sym("hello")
val s2 = sym("hello")
assertEquals(s1, s2)
}
/**
* Simplest possible test: solve a formula and check the solution(s)
*/
@Test
def testUnassigned() {
val pSym = sym("p")
val solvable = propToSolvable(Or(pSym, Not(pSym)))
val solutions = TestSolver.TestSolver.findAllModelsFor(solvable)
val expected = List(Solution(Map(), List(pSym)))
assertEquals(expected, solutions)
}
/**
* Unassigned variables must be expanded
* for stable results
*/
@Test
def testNoUnassigned() {
val pSym = sym("p")
val qSym = sym("q")
val solvable = propToSolvable(Or(pSym, Not(qSym)))
val solutions = findAllModelsFor(solvable)
val expanded = solutions.flatMap(expandUnassigned).sorted
val expected = Seq(
Map(pSym -> false, qSym -> false),
Map(pSym -> true, qSym -> false),
Map(pSym -> true, qSym -> true)
).sorted
assertEquals(expected, expanded)
}
@Test
def testTseitinVsExpansionFrom_t7020() {
val formulas = Seq(
And(And(And(Not(sym("V1=null")),
sym("V1=scala.collection.immutable.::[?]")), And(Not(sym("V1=null")),
And(Or(sym("V2=4"), Or(sym("V2=5"), sym("V2=6"))), sym("V3=Nil")))),
And(And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))))),
And(And(And(Not(sym("V1=null")),
sym("V1=scala.collection.immutable.::[?]")), And(Not(sym("V1=null")),
And(sym("V2=7"), sym("V3=Nil")))),
And(And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))), And(And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil")))))))),
And(And(Not(sym("V1=null")),
sym("V1=scala.collection.immutable.::[?]")), And(Not(sym("V1=null")),
And(Or(sym("V2=4"), Or(sym("V2=5"), sym("V2=6"))), sym("V3=Nil")))),
And(And(Not(sym("V1=null")), sym("V1=scala.collection.immutable.::[?]")),
And(Not(sym("V1=null")), And(sym("V2=7"), sym("V3=Nil")))),
And(And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))), And(And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))))),
And(And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil"))))))),
And(And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))), And(sym("V1=Nil"), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil"))))))))),
And(And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))), And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))), And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=7")), Not(sym("V3=Nil"))))), Not(sym("V1=Nil"))))),
And(And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil")))))),
And(And(Or(sym("V3=scala.collection.immutable.::[?]"), sym("V3=Nil")),
Or(sym("V1=scala.collection.immutable.::[?]"), sym("V1=Nil"))),
And(And(Or(Or(False, Not(sym("V1=scala.collection.immutable.::[?]"))),
Or(False, Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))), And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))), And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=7")), Not(sym("V3=Nil"))))), Not(sym("V1=Nil")))))),
And(Not(sym("V1=null")), And(Or(sym("V2=4"), Or(sym("V2=5"), sym("V2=6"))),
sym("V3=Nil"))),
And(Not(sym("V1=null")), And(sym("V2=7"), sym("V3=Nil"))),
And(Not(sym("V1=null")), sym("V1=scala.collection.immutable.::[?]")),
And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
And(Not(sym("V2=5")), Not(sym("V2=6"))),
And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))),
And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))),
And(Or(Not(sym("V3=Nil")), Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null"))))),
And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))), And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=7")), Not(sym("V3=Nil"))))), Not(sym("V1=Nil")))),
And(Or(Or(False, Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))),
And(Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=7")), Not(sym("V3=Nil"))))), Not(sym("V1=Nil"))),
And(Or(Or(sym("V1=null"), Not(sym("V1=scala.collection.immutable.::[?]"))),
Or(sym("V1=null"), Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")),
Not(sym("V2=6")))), Not(sym("V3=Nil"))))), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil"))))))),
And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))),
And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=7")), Not(sym("V3=Nil"))))),
And(And(Or(Not(sym("V1=scala.collection.immutable.::[?]")),
Not(sym("V1=null"))), And(Or(sym("V3=scala.collection.immutable.::[?]"),
Or(sym("V3=Nil"), sym("V3=null"))), And(Or(Not(sym("V3=Nil")),
Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null")))))))), And(sym("V1=Nil"), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))))))),
And(Or(sym("V2=4"), Or(sym("V2=5"), sym("V2=6"))), sym("V3=Nil")),
And(Or(sym("V3=scala.collection.immutable.::[?]"), Or(sym("V3=Nil"),
sym("V3=null"))), And(Or(Not(sym("V3=Nil")), Not(sym("V3=null"))),
And(Or(Not(sym("V3=scala.collection.immutable.::[?]")),
Not(sym("V3=null"))), And(Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), Or(sym("V1=Nil"),
sym("V1=null"))))))),
And(Or(sym("V3=scala.collection.immutable.::[?]"),
sym("V3=Nil")), Or(sym("V1=scala.collection.immutable.::[?]"),
sym("V1=Nil"))),
And(sym("V1=Nil"), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))), And(Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))), Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=2")), Not(sym("V3=Nil")))))))),
And(sym("V2=7"), sym("V3=Nil")),
False,
Not(sym("V1=Nil")),
Or(And(Not(sym("V2=4")),
And(Not(sym("V2=5")), Not(sym("V2=6")))), Not(sym("V3=Nil"))),
Or(False, Not(sym("V1=scala.collection.immutable.::[?]"))),
Or(False,
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil")))),
Or(False, Or(Not(sym("V2=1")), Not(sym("V3=Nil")))),
Or(Not(sym("V1=Nil")), Not(sym("V1=null"))),
Or(Not(sym("V3=scala.collection.immutable.::[?]")), Not(sym("V3=null"))),
Or(Or(False, Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))),
Or(Or(False,
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(False,
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))),
Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil"))))),
Or(Or(sym("V1=null"),
Not(sym("V1=scala.collection.immutable.::[?]"))), Or(sym("V1=null"),
Or(Not(sym("V2=1")), Not(sym("V3=Nil"))))),
Or(sym("V1=null"), Not(sym("V1=scala.collection.immutable.::[?]"))),
Or(sym("V1=null"),
Or(And(Not(sym("V2=4")), And(Not(sym("V2=5")), Not(sym("V2=6")))),
Not(sym("V3=Nil")))),
Or(sym("V1=null"), Or(Not(sym("V2=1")), Not(sym("V3=Nil")))),
Or(sym("V1=scala.collection.immutable.::[?]"),
Or(sym("V1=Nil"), sym("V1=null"))),
Or(sym("V1=scala.collection.immutable.::[?]"), sym("V1=Nil")),
Or(sym("V2=4"), Or(sym("V2=5"), sym("V2=6"))),
sym("V3=scala.collection.immutable.::[?]")
)
formulas foreach {
f =>
// build CNF
val tseitinCnf = propToSolvable(f)
val expansionCnf = eqFreePropToSolvableViaDistribution(f)
// ALL-SAT
val tseitinSolutions = findAllModelsFor(tseitinCnf)
val expansionSolutins = findAllModelsFor(expansionCnf)
// expand unassigned variables
// (otherwise solutions can not be compared)
val tseitinNoUnassigned = tseitinSolutions.flatMap(expandUnassigned).sorted
val expansionNoUnassigned = expansionSolutins.flatMap(expandUnassigned).sorted
assertEquals(tseitinNoUnassigned, expansionNoUnassigned)
}
}
}
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