func (c clauseSlice) Less(i, j int) bool {
//if they aren't the same length, put the shorter one first
if clause.Len(c[i]) != clause.Len(c[j]) {
return clause.Len(c[i]) < clause.Len(c[j])
}
//they must both be the same size now...
for x := 0; x < clause.Len(c[i]); x++ {
//literal x is not the same
if c[i].Clause[x] != c[j].Clause[x] {
//return the lesser one
return literal.Less(c[i].Clause[x], c[j].Clause[x])
}
}
return false
}
//Satisfiable implements above function
func Satisfiable(CS clauseset.ClauseSet) (bool, Tree) {
tree := Tree{Name: CS.String(), Split: ""}
fmt.Printf("\n%sSatisfiable(%s)\n", strings.Repeat(" ", CS.Indent), CS)
CS.Indent += 2
//if CS = {} : return true
if CS.Len() == 0 {
fmt.Printf("%sEmpty ClauseSet, returning true\n", strings.Repeat(" ", CS.Indent))
openTree := Tree{Name: "O", Split: ""}
tree.Children = append(tree.Children, openTree)
return true, tree
}
//if {} in CS : return false
firstElement, err := CS.FirstElement()
if err != nil {
log.Fatal(err)
}
if clause.Len(firstElement) == 0 {
fmt.Printf("%s{} found in ClauseSet, returning false\n", strings.Repeat(" ", CS.Indent))
closedTree := Tree{Name: "X", Split: ""}
tree.Children = append(tree.Children, closedTree)
return false, tree
}
//select L in lit(CS): return Satisfiable(CS_L) || Satisfiable(CS_L')
nextLiteral, err2 := CS.NextLiteral()
if err2 != nil {
log.Fatal(err2)
}
fmt.Printf("%sSpliting on %s\n", strings.Repeat(" ", CS.Indent), nextLiteral)
CSL := CS.Reduce(nextLiteral)
CSL.Indent = CS.Indent
CSR := CS.Reduce(nextLiteral.Negation())
CSR.Indent = CS.Indent
left, tree_l := Satisfiable(CSL)
right, tree_r := Satisfiable(CSR)
tree_l.Split = nextLiteral.String()
tree_r.Split = nextLiteral.Negation().String()
tree.Children = append(tree.Children, tree_l)
tree.Children = append(tree.Children, tree_r)
return left || right, tree
}
