protected override Expression ApplyTransform(Expression x, MatchContext Matched)
{
return(result.Substitute(Matched, true).Evaluate());
}
/// <summary>
/// Evaluate an expression.
/// </summary>
/// <param name="f">Expression to evaluate.</param>
/// <param name="x0">List of variable, value pairs to evaluate the function at.</param>
/// <returns>The evaluated expression.</returns>
public static Expression Evaluate(this Expression f, IDictionary <Expression, Expression> x0)
{
return(f.Substitute(x0).Evaluate());
}
protected override Expression VisitBinary(Binary B)
{
Expression L = Visit(B.Left);
Expression R = Visit(B.Right);
// Evaluate substitution operators.
if (B is Substitute)
{
return(Visit(L.Substitute(Set.MembersOf(R).Cast <Arrow>())));
}
Real?LR = AsReal(L);
Real?RR = AsReal(R);
// Evaluate relational operators on constants.
if (LR != null && RR != null)
{
switch (B.Operator)
{
case Operator.Equal: return(Constant.New(LR.Value == RR.Value));
case Operator.NotEqual: return(Constant.New(LR.Value != RR.Value));
case Operator.Less: return(Constant.New(LR.Value < RR.Value));
case Operator.Greater: return(Constant.New(LR.Value <= RR.Value));
case Operator.LessEqual: return(Constant.New(LR.Value > RR.Value));
case Operator.GreaterEqual: return(Constant.New(LR.Value >= RR.Value));
case Operator.ApproxEqual: return(Constant.New(
LR.Value == RR.Value ||
Real.Abs(LR.Value - RR.Value) < 1e-12 * Real.Max(Real.Abs(LR.Value), Real.Abs(RR.Value))));
}
}
// Evaluate boolean operators if possible.
switch (B.Operator)
{
case Operator.And:
if (IsFalse(LR) || IsFalse(RR))
{
return(Constant.New(false));
}
else if (IsTrue(LR) && IsTrue(RR))
{
return(Constant.New(true));
}
break;
case Operator.Or:
if (IsTrue(LR) || IsTrue(RR))
{
return(Constant.New(true));
}
else if (IsFalse(LR) && IsFalse(RR))
{
return(Constant.New(false));
}
break;
case Operator.Equal:
case Operator.ApproxEqual:
if (L.Equals(R))
{
return(Constant.New(true));
}
break;
case Operator.NotEqual:
if (L.Equals(R))
{
return(Constant.New(false));
}
break;
}
return(Binary.New(B.Operator, L, R));
}
/// <summary>
/// Evaluate an expression at x = x0.
/// </summary>
/// <param name="f">Expression to evaluate.</param>
/// <param name="x">Variable to evaluate at.</param>
/// <param name="x0">Value to evaluate for.</param>
/// <returns>The evaluated expression.</returns>
public static Expression Substitute(this Expression f, Expression x, Expression x0)
{
return(f.Substitute(new Dictionary <Expression, Expression> {
{ x, x0 }
}));
}
public static Expression Substitute(this Expression f, params Arrow[] x)
{
return(f.Substitute(x.AsEnumerable()));
}
/// <summary>
/// Evaluate an expression at x = x0.
/// </summary>
/// <param name="f">Expression to evaluate.</param>
/// <param name="x">Arrow expressions representing substitutions to evaluate.</param>
/// <returns>The evaluated expression.</returns>
public static Expression Substitute(this Expression f, IEnumerable <Arrow> x)
{
return(f.Substitute(x.ToDictionary(i => i.Left, i => i.Right)));
}
