/*
A -> (N v Q)
~(N v ~A)
A -> Q (conclusion)
*/
func SatValid(t *testing.T) {
a := literal.Literal{"A", false}
na := a.Negation()
n := literal.Literal{"N", false}
nn := n.Negation()
q := literal.Literal{"Q", false}
nq := q.Negation()
one := clause.Clause{}
one.Append(a)
two := clause.Clause{}
two.Append(nq)
three := clause.Clause{}
three.Append(nn)
four := clause.Clause{}
four.Append(na)
four.Append(n)
four.Append(q)
CS := clauseset.ClauseSet{}
CS.Append(one)
CS.Append(two)
CS.Append(three)
CS.Append(four)
sat, _ := Satisfiable(CS)
if sat {
t.Errorf("ClauseSet %q was Satisfiable, so it is an invalid argument (it should be valid)", CS)
}
}
/*
A -> B
~A
~B (conclusion)
*/
func SatInvalid(t *testing.T) {
na := literal.Literal{"A", true}
b := literal.Literal{"B", false}
one := clause.Clause{}
one.Append(na)
two := clause.Clause{}
two.Append(b)
three := clause.Clause{}
three.Append(na)
three.Append(b)
CS := clauseset.ClauseSet{}
CS.Append(one)
CS.Append(two)
CS.Append(three)
CS.Indent = 0
sat, _ := Satisfiable(CS)
if !sat {
t.Errorf("ClauseSet %q was not Satisfiable, so it is a valid argument (it should be invalid)", CS)
}
}
//ConstructClause takes a connector and returns a Clause
//assumes the connector is in CNF form
func ConstructClause(conn connector.Connector) clause.Clause {
newClause := clause.Clause{}
if conn.Type == "Literal" || conn.Type == "Neg" {
newLiteral := ConstructLiteral(conn)
newClause.Append(newLiteral)
} else {
for _, child := range conn.Children {
newLiteral := ConstructLiteral(child)
newClause.Append(newLiteral)
}
}
return newClause
}
func TestAppend(t *testing.T) {
empty, one, two, _ := clause.ConstructTestClauses()
//case0 -- 1 clause
cs := ClauseSet{}
cs.Append(empty)
got := cs.String()
want := "{{}}"
if got != want {
t.Errorf("Append(%q) == %q, want %q", empty, got, want)
}
//case1 -- 2 things in ClauseSet (added in sorted order)
cs = ClauseSet{}
cs.Append(empty)
cs.Append(one)
got = cs.String()
want = "{{}, {A}}"
if got != want {
t.Errorf("Append(%q, %q) == %q, want %q", empty, one, got, want)
}
//case2 -- 2 things in ClauseSet (added in non-sorted order)
cs = ClauseSet{}
cs.Append(one)
cs.Append(empty)
got = cs.String()
want = "{{}, {A}}"
if got != want {
t.Errorf("Append(%q, %q) == %q, want %q", one, empty, got, want)
}
//case3 -- 3 things in ClauseSet (added in sorted order)
cs = ClauseSet{}
cs.Append(empty)
cs.Append(one)
cs.Append(two)
got = cs.String()
want = "{{}, {A}, {A, B}}"
if got != want {
t.Errorf("Append(%q, %q, %q) == %q, want %q", empty, one, two, got, want)
}
//case4 -- 3 things in ClauseSet (added in non-sorted order)
cs = ClauseSet{}
cs.Append(two)
cs.Append(empty)
cs.Append(one)
got = cs.String()
want = "{{}, {A}, {A, B}}"
if got != want {
t.Errorf("Append(%q, %q, %q) == %q, want %q", two, empty, one, got, want)
}
a, _, nb := literal.ConstructTestLiterals()
nOne := clause.Clause{}
nOne.Append(a.Negation())
nTwo := clause.Clause{}
nTwo.Append(a)
nTwo.Append(nb)
//case5 -- 2 things in ClauseSet -- same length, but one less than other (added in sorted order)
cs = ClauseSet{}
cs.Append(one)
cs.Append(nOne)
got = cs.String()
want = "{{A}, {~A}}"
if got != want {
t.Errorf("Append(%q, %q) == %q, want %q", one, nOne, got, want)
}
//case6 -- 2 things in ClauseSet -- same length, but one less than other (added in non-sorted order)
cs = ClauseSet{}
cs.Append(nOne)
cs.Append(one)
got = cs.String()
want = "{{A}, {~A}}"
if got != want {
t.Errorf("Append(%q, %q) == %q, want %q", nOne, one, got, want)
}
//case7 -- 2 things in ClauseSet -- same length, but one less than other (added in sorted order)
cs = ClauseSet{}
cs.Append(two)
cs.Append(nTwo)
got = cs.String()
want = "{{A, B}, {A, ~B}}"
if got != want {
t.Errorf("Append(%q, %q) == %q, want %q", two, nTwo, got, want)
}
//case7 -- 2 things in ClauseSet -- same length, but one less than other (added in non-sorted order)
cs = ClauseSet{}
cs.Append(nTwo)
cs.Append(two)
got = cs.String()
want = "{{A, B}, {A, ~B}}"
if got != want {
t.Errorf("Append(%q, %q) == %q, want %q", nTwo, two, got, want)
}
}
func ToCNF(statement string) clauseset.ClauseSet {
rows := getRows(getLiterals(statement))
new_clauseset := clauseset.ClauseSet{}
for _, row := range rows {
sort.Sort(ByLength(row))
statement_cpy := statement[:1] + statement[1:]
for _, l := range row {
// @ == TRUE "!" == FALSE
replacement_string := "N/A"
if len(l) == 1 {
replacement_string = "@"
} else {
replacement_string = "!"
l = l[2:3]
}
// do the straight replacement
r := regexp.MustCompile(fmt.Sprintf("%s", l))
statement_cpy = r.ReplaceAllString(statement_cpy, replacement_string)
}
for statement_cpy != "TRUE" && statement_cpy != "FALSE" {
r := regexp.MustCompile("(~@|~\\(@\\))")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("(~!|~\\(!\\))")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("\\(@\\)")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("\\(!\\)")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("@")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("!")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("\\(TRUE\\)")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("\\(FALSE\\)")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("(~TRUE|~\\(TRUE\\))")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("(~FALSE|~\\(FALSE\\))")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("TRUEv(TRUE|FALSE)")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("(TRUE|FALSE)vTRUE")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("FALSEvFALSE")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("TRUE\\^TRUE")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("(TRUE|FALSE)\\^FALSE")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("FALSE\\^(TRUE|FALSE)")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("FALSE->(TRUE|FALSE)")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("TRUE\\->FALSE")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("TRUE\\->TRUE")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("TRUE<\\->TRUE")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("FALSE<\\->FALSE")
statement_cpy = r.ReplaceAllString(statement_cpy, "TRUE")
r = regexp.MustCompile("TRUE<\\->FALSE")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
r = regexp.MustCompile("FALSE<\\->TRUE")
statement_cpy = r.ReplaceAllString(statement_cpy, "FALSE")
}
if statement_cpy == "FALSE" {
new_clause := clause.Clause{}
for _, l := range row {
if len(l) == 1 {
lit := literal.Literal{Name: l, Negated: true}
new_clause.Append(lit)
} else {
lit := literal.Literal{Name: l[2:3], Negated: false}
new_clause.Append(lit)
}
}
new_clauseset.Append(new_clause)
}
}
return new_clauseset
}