public TruthTable GenerateTruthTable()
{
TruthTable truthTable = new TruthTable(this);
truthTable.Calculate();
return(truthTable);
}
/// <summary>
/// Generate the DNF in prefix form, from the simplified truth table
/// </summary>
/// <param name="truthTable">The truth table</param>
/// <returns>DNF in prefix form</returns>
public string ConvertToDNF(TruthTable truthTable)
{
string[] header = truthTable.GenerateHeaders();
List <string> rows = truthTable.GenerateSimplifiedRows();
// filter out the 0 rows
rows = rows.Where(row => row.Last() == '1').ToList();
// Tautology
if (truthTable.Result.Contains("0") == false)
{
return("|(a, ~(a))");
}
// Contradiction
if (truthTable.Result.Contains("1") == false)
{
return("&(a, ~(a))");
}
string expression = "";
// Convert each row to a DNF clause
for (int i = 0; i < rows.Count; i++)
{
string clause = ConvertToDNFClause(header, rows[i]);
// only one clause
if (rows.Count == 1)
{
return(string.Format("{0}", clause));
}
if (i != rows.Count - 1)
{
expression = expression + "|(" + clause + ",";
}
else // last row
{
expression += clause;
}
}
for (int i = 0; i < rows.Count - 1; i++)
{
expression += ")";
}
return(expression);
}