public static bool Equal(Summable <T> x, Summable <T> y)
{
if (object.ReferenceEquals(x, null) || object.ReferenceEquals(y, null))
{
return(false);
}
return(x.Equals(y));
}
public override bool Equals(Summable <int> other)
{
var x = other as Int;
if (Object.ReferenceEquals(x, null))
{
return(false);
}
return(this.n == x.n);
}
public static Summable <T> Sum(Summable <T> x, Summable <T> y)
{
if (y == y.Zero)
{
return(x);
}
if (x == y.Zero)
{
return(y);
}
else
{
return(Sum(x.Add1(), y.Sub1()));
}
}
public static Summable <T> Multiply(Summable <T> x, Summable <T> y)
{
var zero = x.Zero;
var one = x.One;
if (x == zero || y == zero)
{
return(zero);
}
if (y == one)
{
return(x);
}
if (x == one)
{
return(y);
}
return(Sum(x, Multiply(x, y.Sub1())));
}
} //Identity for multiplication public abstract bool Equals(Summable <T> other);
public static Summable <T> Multiply(Summable <T> x, Summable <T> y)
{
//Coming soon...
}