/// <summary>
/// If t is a variable name then returns t as a f-o variable and sets psi=null.
/// Else returns a fresh f-o variable x and outputs psi(x) s.t. psi(x) iff x=t.
/// </summary>
Variable ConvertTerm1(MonaExpr t, MapStack <string, MonaParam> locals, out MSOFormula <BDD> psi)
{
switch (t.symbol.Kind)
{
case Tokens.NAME:
{
MonaParam p;
if (locals.TryGetValue(t.symbol.text, out p))
{
if (p.kind == MonaParamKind.var1)
{
psi = null;
return(new Variable(t.symbol.text, true));
}
else
{
throw new NotImplementedException(t.ToString());
}
}
else
{
MonaDecl d;
if (globals.TryGetValue(t.symbol.text, out d))
{
if (d.kind == MonaDeclKind.constant)
{
int n = ((MonaConstDecl)d).def.ToInt(globals);
Variable x = MkNewVar1();
var pred = new MSOeqN <BDD>(x, n);
psi = pred;
return(x);
}
else
{
throw new NotImplementedException(t.ToString());
}
}
else
{
throw new NotImplementedException(t.ToString());
}
}
}
case Tokens.PLUS:
{
Variable y = MkNewVar1();
if (t[0].symbol.Kind == Tokens.NAME)
{
int n = t[1].ToInt(globals);
Variable x = new Variable(t[0].symbol.text, true);
psi = new MSOSuccN <BDD>(x, y, n); // y = x + n
}
else
{
int n = t.ToInt(globals);
psi = new MSOeqN <BDD>(y, n); // y = n
}
return(y);
}
case Tokens.MIN:
{
MSOFormula <BDD> X_psi;
Variable X = ConvertTerm2(t[0], locals, out X_psi);
Variable x = MkNewVar1();
MSOFormula <BDD> min = new MSOMin <BDD>(x, X);
if (X_psi != null)
{
min = new MSOExists <BDD>(X, new MSOAnd <BDD>(X_psi, min));
}
psi = min;
return(x);
}
case Tokens.MAX:
{
MSOFormula <BDD> X_psi;
Variable X = ConvertTerm2(t[0], locals, out X_psi);
Variable x = MkNewVar1();
MSOFormula <BDD> max = new MSOMax <BDD>(x, X);
if (X_psi != null)
{
max = new MSOExists <BDD>(X, new MSOAnd <BDD>(X_psi, max));
}
psi = max;
return(x);
}
default:
throw new NotImplementedException(t.ToString());
}
}
/// <summary>
/// If t is a variable name then returns t as a f-o variable and sets psi=null.
/// Else returns a fresh f-o variable x and outputs psi(x) s.t. psi(x) iff x=t.
/// </summary>
Variable ConvertTerm1(MonaExpr t, MapStack<string, MonaParam> locals, out MSOFormula<BDD> psi)
{
switch (t.symbol.Kind)
{
case Tokens.NAME:
{
MonaParam p;
if (locals.TryGetValue(t.symbol.text, out p))
{
if (p.kind == MonaParamKind.var1)
{
psi = null;
return new Variable(t.symbol.text, true);
}
else
throw new NotImplementedException(t.ToString());
}
else
{
MonaDecl d;
if (globals.TryGetValue(t.symbol.text, out d))
{
if (d.kind == MonaDeclKind.constant)
{
int n = ((MonaConstDecl)d).def.ToInt(globals);
Variable x = MkNewVar1();
var pred = new MSOeqN<BDD>(x, n);
psi = pred;
return x;
}
else if (d.kind == MonaDeclKind.var1)
{
psi = null;
return new Variable(t.symbol.text, true);
}
else
throw new NotImplementedException(t.ToString());
}
else
throw new NotImplementedException(t.ToString());
}
}
case Tokens.PLUS:
{
Variable y = MkNewVar1();
if (t[0].symbol.Kind == Tokens.NAME)
{
int n = t[1].ToInt(globals);
Variable x = new Variable(t[0].symbol.text, true);
psi = new MSOSuccN<BDD>(x, y, n); // y = x + n
}
else
{
int n = t.ToInt(globals);
psi = new MSOeqN<BDD>(y, n); // y = n
}
return y;
}
case Tokens.MIN:
{
MSOFormula<BDD> X_psi;
Variable X = ConvertTerm2(t[0], locals, out X_psi);
Variable x = MkNewVar1();
MSOFormula<BDD> min = new MSOMin<BDD>(x, X);
if (X_psi != null)
min = new MSOExists<BDD>(X, new MSOAnd<BDD>(X_psi, min));
psi = min;
return x;
}
case Tokens.MAX:
{
MSOFormula<BDD> X_psi;
Variable X = ConvertTerm2(t[0], locals, out X_psi);
Variable x = MkNewVar1();
MSOFormula<BDD> max = new MSOMax<BDD>(x, X);
if (X_psi != null)
max = new MSOExists<BDD>(X, new MSOAnd<BDD>(X_psi, max));
psi = max;
return x;
}
case Tokens.NUMBER:
{
Variable x = MkNewVar1();
int num = t.symbol.ToInt();
psi = new MSOeqN<BDD>(x,num);
return x;
}
default:
throw new NotImplementedException(t.ToString());
}
}