public override Expression SymbolicDiff(Variable var)
{
var u = Left;
var v = Right;
var dudx = Left.SymbolicDiff(var);
var dvdx = Right.SymbolicDiff(var);
return(v * Sym.Pow(u, v - 1) * dudx + Sym.Pow(u, v) * Sym.Ln(u) * dvdx);
}
public SmoothMin(Expression left, Expression right, double k = 10)
{
Symbol = "smin";
Left = left;
Right = right;
//_expr = 0.5 * (Left + Right + Sym.Abs(Left - Right));
_expr = Sym.Ln(Sym.Exp(-k * left) + Sym.Exp(-k * right)) / -k;
EvalFunctional = (c) => Math.Min(Left.Eval(c), Right.Eval(c));
DiffFunctional = (c, var) => _expr.Diff(c, var);
}
