/// <summary>
/// A clone of this automaton, expands if singleton.
/// </summary>
/// <returns>
/// Returns a clone of this automaton, expands if singleton.
/// </returns>
public Automaton CloneExpanded()
{
Automaton a = this.Clone();
a.ExpandSingleton();
return(a);
}
/// <summary>
/// Accepts between <code>min</code> and <code>max</code> (including both) concatenated
/// repetitions of the language of the given automaton.
/// </summary>
/// <param name="a">The automaton.</param>
/// <param name="min">The minimum concatenated repetitions of the language of the given
/// automaton.</param>
/// <param name="max">The maximum concatenated repetitions of the language of the given
/// automaton.</param>
/// <returns>
/// Returns an automaton that accepts between <code>min</code> and <code>max</code>
/// (including both) concatenated repetitions of the language of the given automaton.
/// </returns>
/// <remarks>
/// Complexity: linear in number of states and in <code>min</code> and <code>max</code>.
/// </remarks>
public static Automaton Repeat(Automaton a, int min, int max)
{
if (min > max)
{
return(BasicAutomata.MakeEmpty());
}
max -= min;
a.ExpandSingleton();
Automaton b;
if (min == 0)
{
b = BasicAutomata.MakeEmptyString();
}
else if (min == 1)
{
b = a.Clone();
}
else
{
var @as = new List <Automaton>();
while (min-- > 0)
{
@as.Add(a);
}
b = BasicOperations.Concatenate(@as);
}
if (max > 0)
{
Automaton d = a.Clone();
while (--max > 0)
{
Automaton c = a.Clone();
foreach (State p in c.GetAcceptStates())
{
p.AddEpsilon(d.Initial);
}
d = c;
}
foreach (State p in b.GetAcceptStates())
{
p.AddEpsilon(d.Initial);
}
b.IsDeterministic = false;
b.ClearHashCode();
b.CheckMinimizeAlways();
}
return(b);
}
/// <summary>
/// Accepts between <code>min</code> and <code>max</code> (including both) concatenated
/// repetitions of the language of the given automaton.
/// </summary>
/// <param name="a">The automaton.</param>
/// <param name="min">The minimum concatenated repetitions of the language of the given
/// automaton.</param>
/// <param name="max">The maximum concatenated repetitions of the language of the given
/// automaton.</param>
/// <returns>
/// Returns an automaton that accepts between <code>min</code> and <code>max</code>
/// (including both) concatenated repetitions of the language of the given automaton.
/// </returns>
/// <remarks>
/// Complexity: linear in number of states and in <code>min</code> and <code>max</code>.
/// </remarks>
public static Automaton Repeat(Automaton a, int min, int max)
{
if (min > max)
{
return BasicAutomata.MakeEmpty();
}
max -= min;
a.ExpandSingleton();
Automaton b;
if (min == 0)
{
b = BasicAutomata.MakeEmptyString();
}
else if (min == 1)
{
b = a.Clone();
}
else
{
var @as = new List<Automaton>();
while (min-- > 0)
{
@as.Add(a);
}
b = BasicOperations.Concatenate(@as);
}
if (max > 0)
{
Automaton d = a.Clone();
while (--max > 0)
{
Automaton c = a.Clone();
foreach (State p in c.GetAcceptStates())
{
p.AddEpsilon(d.Initial);
}
d = c;
}
foreach (State p in b.GetAcceptStates())
{
p.AddEpsilon(d.Initial);
}
b.IsDeterministic = false;
b.ClearHashCode();
b.CheckMinimizeAlways();
}
return b;
}
/// <summary>
/// Adds epsilon transitions to the given automaton. This method adds extra character interval
/// transitions that are equivalent to the given set of epsilon transitions.
/// </summary>
/// <param name="a">The automaton.</param>
/// <param name="pairs">A collection of <see cref="StatePair"/> objects representing pairs of
/// source/destination states where epsilon transitions should be added.</param>
public static void AddEpsilons(Automaton a, ICollection<StatePair> pairs)
{
a.ExpandSingleton();
var forward = new Dictionary<State, HashSet<State>>();
var back = new Dictionary<State, HashSet<State>>();
foreach (StatePair p in pairs)
{
HashSet<State> to = forward[p.FirstState];
if (to == null)
{
to = new HashSet<State>();
forward.Add(p.FirstState, to);
}
to.Add(p.SecondState);
HashSet<State> from = back[p.SecondState];
if (from == null)
{
from = new HashSet<State>();
back.Add(p.SecondState, from);
}
from.Add(p.FirstState);
}
var worklist = new LinkedList<StatePair>(pairs);
var workset = new HashSet<StatePair>(pairs);
while (worklist.Count != 0)
{
StatePair p = worklist.RemoveAndReturnFirst();
workset.Remove(p);
HashSet<State> to = forward[p.SecondState];
HashSet<State> from = back[p.FirstState];
if (to != null)
{
foreach (State s in to)
{
var pp = new StatePair(p.FirstState, s);
if (!pairs.Contains(pp))
{
pairs.Add(pp);
forward[p.FirstState].Add(s);
back[s].Add(p.FirstState);
worklist.AddLast(pp);
workset.Add(pp);
if (from != null)
{
foreach (State q in from)
{
var qq = new StatePair(q, p.FirstState);
if (!workset.Contains(qq))
{
worklist.AddLast(qq);
workset.Add(qq);
}
}
}
}
}
}
}
// Add transitions.
foreach (StatePair p in pairs)
{
p.FirstState.AddEpsilon(p.SecondState);
}
a.IsDeterministic = false;
a.ClearHashCode();
a.CheckMinimizeAlways();
}
/// <summary>
/// Adds epsilon transitions to the given automaton. This method adds extra character interval
/// transitions that are equivalent to the given set of epsilon transitions.
/// </summary>
/// <param name="a">The automaton.</param>
/// <param name="pairs">A collection of <see cref="StatePair"/> objects representing pairs of
/// source/destination states where epsilon transitions should be added.</param>
public static void AddEpsilons(Automaton a, ICollection <StatePair> pairs)
{
a.ExpandSingleton();
var forward = new Dictionary <State, HashSet <State> >();
var back = new Dictionary <State, HashSet <State> >();
foreach (StatePair p in pairs)
{
HashSet <State> to = forward[p.FirstState];
if (to == null)
{
to = new HashSet <State>();
forward.Add(p.FirstState, to);
}
to.Add(p.SecondState);
HashSet <State> from = back[p.SecondState];
if (from == null)
{
from = new HashSet <State>();
back.Add(p.SecondState, from);
}
from.Add(p.FirstState);
}
var worklist = new LinkedList <StatePair>(pairs);
var workset = new HashSet <StatePair>(pairs);
while (worklist.Count != 0)
{
StatePair p = worklist.RemoveAndReturnFirst();
workset.Remove(p);
HashSet <State> to = forward[p.SecondState];
HashSet <State> from = back[p.FirstState];
if (to != null)
{
foreach (State s in to)
{
var pp = new StatePair(p.FirstState, s);
if (!pairs.Contains(pp))
{
pairs.Add(pp);
forward[p.FirstState].Add(s);
back[s].Add(p.FirstState);
worklist.AddLast(pp);
workset.Add(pp);
if (from != null)
{
foreach (State q in from)
{
var qq = new StatePair(q, p.FirstState);
if (!workset.Contains(qq))
{
worklist.AddLast(qq);
workset.Add(qq);
}
}
}
}
}
}
}
// Add transitions.
foreach (StatePair p in pairs)
{
p.FirstState.AddEpsilon(p.SecondState);
}
a.IsDeterministic = false;
a.ClearHashCode();
a.CheckMinimizeAlways();
}
