On Tuesday, 1 October 2013 at 10:50:39 UTC, Joseph Rushton Wakeling wrote:
Hello all,

In the course of examining std.rational I've had to take a look inside std.traits.CommonType, and I'm hoping people can help me to understand some fine details which I'm currently unsure of.

The essence of the CommonType template is simple:

    * If it is passed no arguments, the common type is void.

* If it is passed one argument, the common type is the type of that
      argument.

* If it is passed more than one argument, it looks for the common type U between the first 2 arguments. If it finds it, then it returns the common type of U and the remaining arguments (in other words, it recursively identifies the common types of successive arguments until
      none are left).

* If the first 2 arguments can't be implicitly converted, it returns void.

A consequence of this is that CommonType will not necessarily work nicely with many non-built-in types. For example, the common type of BigInt and int is void, even though in principle it should be possible to convert an int to a BigInt. It's this that is particularly of concern to me.

Anyway, to concrete questions.

(1) Can someone please explain to me _in detail_ the mechanics of the code which identifies whether the first 2 template arguments have a common type?

I understand what it does, but not why/how it does it, if you get me :-)

    static if (is(typeof(true ? T[0].init : T[1].init) U))
    {
        alias CommonType!(U, T[2 .. $]) CommonType;
    }

(2) Same code -- why is it only necessary to check T[0].init : T[1].init and not vice versa? (Yes, you can tell I don't really understand the : operator properly:-)

(3) What would one have to implement in a library-defined type to enable T[0].init : T[1].init to evaluate to true? For example, to enable int and BigInt to be compatible?

(4) Is there a good reason why there _shouldn't_ be a CommonType of (say) int and BigInt?

I'm sure I'll think up more questions, but this seems enough to be going on with ... :-)

Thanks & best wishes,

    -- Joe

The code basically uses operator ?: which is basically:
auto oeprator(T1, T2)(bool cont, T1 lhs, T2 rhs)
{
    if (cond)
        return lhs;
    else
        return rhs;
}
By using the operator's return type, you get, basically, what the compiler believes is the "common type" that you'd get from either a T1, or a T2.

Back to the code:
static if (is(typeof(true ? T[0].init : T[1].init) U))

This basically checks if ternary compiles, and if it does, "assigns" the return type to U, after which, the common type becomes U.

(2) Same code -- why is it only necessary to check T[0].init : T[1].init and not vice versa? (Yes, you can tell I don't really understand the : operator properly:-)

Order makes no difference.

(3) What would one have to implement in a library-defined type to enable T[0].init : T[1].init to evaluate to true?

I think you are reading the code wrong, it's not "T[0].init : T[1].init" that evaluates to "true". It's the argument of the ternary operator. "true" is just a dummy placeholder. What this code is checking is that "condition ? T[0].init : T[1].init" compiles at all.

(4) Is there a good reason why there _shouldn't_ be a CommonType of (say) int and BigInt?

Well, given that D doesn't allow implicit construction, and that the entire point of "CommonType" (AFAIK) is to check the *implicit* common type, it would be a little difficult.

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