public TokenEnumerator(FA lexer, IEnumerable <char> @string)
{
_lexer = lexer;
_input = @string.GetEnumerator();
_buffer = new StringBuilder();
_initialStates = _lexer.FillEpsilonClosure();
Reset(); // Reset is used here to initialize the rest of the values
}
/// <summary>
/// Creates a new FA that will match a repetition of one or more of the specified FA expression
/// </summary>
/// <param name="expr">The expression to repeat</param>
/// <param name="accept">The symbol to accept</param>
/// <returns>A new FA that matches the specified FA one or more times</returns>
public static FA Repeat(FA expr, string accept = "")
{
var result = expr.Clone();
result.FirstAcceptingState.EpsilonTransitions.Add(result);
result.FirstAcceptingState.AcceptingSymbol = accept;
return(result);
}
/// <summary>
/// Creates a new FA that matches the specified FA expression or empty
/// </summary>
/// <param name="expr">The expression to make optional</param>
/// <param name="accept">The symbol to accept</param>
/// <returns>A new FA that will match the specified expression or empty</returns>
public static FA Optional(FA expr, string accept = "")
{
var result = expr.Clone();
var f = result.FirstAcceptingState;
f.AcceptingSymbol = accept;
result.EpsilonTransitions.Add(f);
return(result);
}
/// <summary>
/// Creates an FA that will match any one of a set of a characters
/// </summary>
/// <param name="set">The set of characters that will be matched</param>
/// <param name="accept">The symbol to accept</param>
/// <returns>An FA that will match the specified set</returns>
public static FA Set(IEnumerable <char> set, string accept = "")
{
var result = new FA();
var final = new FA();
final.AcceptingSymbol = accept;
foreach (char ch in set)
{
result.Transitions.Add(ch, final);
}
return(result);
}
/// <summary>
/// Creates an FA that matches a literal string
/// </summary>
/// <param name="string">The string to match</param>
/// <param name="accept">The symbol to accept</param>
/// <returns>A new FA machine that will match this literal</returns>
public static FA Literal(IEnumerable <char> @string, string accept = "")
{
var result = new FA();
var current = result;
foreach (char ch in @string)
{
current.AcceptingSymbol = null;
var fa = new FA();
fa.AcceptingSymbol = accept;
current.Transitions.Add(ch, fa);
current = fa;
}
return(result);
}
/// <summary>
/// Creates a new FA that matche any one of the FA expressions passed
/// </summary>
/// <param name="exprs">The expressions to match</param>
/// <param name="accept">The symbol to accept</param>
/// <returns>A new FA that will match the union of the FA expressions passed</returns>
public static FA Or(IEnumerable <FA> exprs, string accept = "")
{
var result = new FA();
var final = new FA();
final.AcceptingSymbol = accept;
foreach (var fa in exprs)
{
fa.EpsilonTransitions.Add(fa);
var nfa = fa.Clone();
var nffa = fa.FirstAcceptingState;
nfa.FirstAcceptingState.EpsilonTransitions.Add(final);
nffa.AcceptingSymbol = null;
}
return(result);
}
static void Demo(string[] args)
{
if (0 == args.Length)
{
Console.Error.WriteLine("Must specify input CFG");
return;
}
var cfg = CfgDocument.ReadFrom(args[0]);
Console.WriteLine(cfg.ToString());
Console.WriteLine();
// not-necessary but faster access since we're not modifying:
cfg.RebuildCache();
Console.WriteLine("See: http://hackingoff.com/compilers/ll-1-parser-generator");
Console.WriteLine();
Console.WriteLine("CFG has {0} rules composed of {1} non-terminals and {2} terminals for a total of {3} symbols", cfg.Rules.Count, cfg.FillNonTerminals().Count, cfg.FillTerminals().Count, cfg.FillSymbols().Count);
Console.WriteLine();
Console.Write("Terminals:");
foreach (var t in cfg.FillTerminals())
{
Console.Write(" ");
Console.Write(t);
}
Console.WriteLine();
Console.WriteLine();
// compute the various aspects of the CFG
var predict = cfg.FillPredict();
// var firsts = cfg.FillFirsts(); // we don't need this because we have predict
var follows = cfg.FillFollows();
// enum some stuff
foreach (var nt in cfg.FillNonTerminals())
{
Console.WriteLine(nt + " has the following rules:");
foreach (var ntr in cfg.FillNonTerminalRules(nt))
{
Console.Write("\t");
Console.WriteLine(ntr);
}
Console.WriteLine();
Console.WriteLine(nt + " has the following PREDICT:");
foreach (var t in predict[nt])
{
Console.Write("\t");
Console.WriteLine((t.Symbol ?? "<empty>") + " - " + t.Rule);
}
Console.WriteLine();
// PREDICT makes this redundant
//Console.WriteLine(nt + " has the following FIRSTS:");
//foreach (var t in firsts[nt])
//{
// Console.Write("\t");
// Console.WriteLine(t);
//}
//Console.WriteLine();
Console.WriteLine(nt + " has the following FOLLOWS:");
foreach (var t in follows[nt])
{
Console.Write("\t");
Console.WriteLine(t);
}
Console.WriteLine();
}
// now lets parse some stuff
Console.WriteLine("Building simple parse table");
// the parse table is simply nested dictionaries where each outer key is a non-terminal
// and the inner key is each terminal, where they map to a single rule.
// lookups during parse are basically rule=parseTable[<topOfStack>][<currentToken>]
var parseTable = new Dictionary <string, Dictionary <string, CfgRule> >();
foreach (var nt in cfg.FillNonTerminals())
{
var d = new Dictionary <string, CfgRule>();
parseTable.Add(nt, d);
foreach (var p in predict[nt])
{
if (null != p.Symbol)
{
CfgRule or;
if (d.TryGetValue(p.Symbol, out or))
{
Console.Error.WriteLine("First-first conflict between " + p.Rule + " and " + or);
}
else
{
d.Add(p.Symbol, p.Rule);
}
}
else
{
foreach (var f in follows[nt])
{
CfgRule or;
if (d.TryGetValue(f, out or))
{
Console.Error.WriteLine("First-follows conflict between " + p.Rule + " and " + or);
}
else
{
d.Add(f, p.Rule);
}
}
}
}
}
#region Build a Lexer for our parser - out of scope of the CFG project but necessary
Console.WriteLine("Building simple lexer");
var fas = new FA[]
{
FA.Literal("+", "add"),
FA.Literal("*", "mul"),
FA.Literal("(", "lparen"),
FA.Literal(")", "rparen"),
FA.Repeat(FA.Set("0123456789"), "int")
};
var lexer = new FA();
for (var i = 0; i < fas.Length; i++)
{
lexer.EpsilonTransitions.Add(fas[i]);
}
Console.WriteLine();
#endregion
var text = "(1+3)*2";
Console.WriteLine("Creating tokenizer");
var tokenizer = new Tokenizer(lexer, text);
Console.WriteLine("Creating parser");
var parser = new LL1Parser(parseTable, tokenizer, "Expr");
Console.WriteLine();
Console.WriteLine("Parsing " + text);
Console.WriteLine(parser.ParseSubtree());
}
/// <summary>
/// Creates a new FA that will match a repetition of zero or more of the specified FA expressions
/// </summary>
/// <param name="expr">The expression to repeat</param>
/// <param name="accept">The symbol to accept</param>
/// <returns>A new FA that matches the specified FA zero or more times</returns>
public static FA Kleene(FA expr, string accept = "")
{
return(Optional(Repeat(expr), accept));
}
public Tokenizer(FA lexer, IEnumerable <char> input)
{
_lexer = lexer;
_input = input;
}
/// <summary>
/// This is where the work happens
/// </summary>
/// <returns>The symbol that was matched. members _state _line,_column,_position,_buffer and _input are also modified.</returns>
string _Lex()
{
string acc;
var states = _initialStates;
_buffer.Clear();
switch (_state)
{
case -1: // initial
if (!_MoveNextInput())
{
_state = -2;
acc = _GetAcceptingSymbol(states);
if (null != acc)
{
return(acc);
}
else
{
return("#ERROR");
}
}
_state = 0; // running
break;
case -2: // end of stream
return("#EOS");
}
// Here's where we run most of the match. FillMove runs one interation of the NFA state machine.
// We match until we can't match anymore (greedy matching) and then report the symbol of the last
// match we found, or an error ("#ERROR") if we couldn't find one.
while (true)
{
var next = FA.FillMove(states, _input.Current);
if (0 == next.Count) // couldn't find any states
{
break;
}
_buffer.Append(_input.Current);
states = next;
if (!_MoveNextInput())
{
// end of stream
_state = -2;
acc = _GetAcceptingSymbol(states);
if (null != acc) // do we accept?
{
return(acc);
}
else
{
return("#ERROR");
}
}
}
acc = _GetAcceptingSymbol(states);
if (null != acc) // do we accept?
{
return(acc);
}
else
{
// handle the error condition
_buffer.Append(_input.Current);
if (!_MoveNextInput())
{
_state = -2;
}
return("#ERROR");
}
}
