Re: [I18nrp] Mappings for IDNA2008 ?

[Patrik Fältström <[e-mail]>]

> On 13 Feb 2019, at 11:31, Martin J. Dürst <[e-mail]> wrote:
> 
> Hello Patrik, others,
> 
>> On 2019/02/13 17:25, Patrik Fältström wrote:
>> 
>> 
>>>> On 13 Feb 2019, at 09:19, Asmus Freytag (c) <[e-mail]> wrote:
>>>> 
>>>>> On 2/12/2019 11:46 PM, Patrik Fältström wrote:
>>>>> 
>>>>> On 13 Feb 2019, at 08:18, Martin J. Dürst <[e-mail]> wrote:
>>>>> 
>>>>> If f(x) is the generic mapping, and f'(x) is the mapping of the
>>>>> exceptions, then f(f'(x)), which applies f' *before* f, should do the job.
>>>> This works in some cases and not in other cases.
>>> Examples?
>> 
>> This is math. :-)
>> 
>> If f(x)=x’ and in the locale used f(x) should be x and not x’, you have dependencies between f(x) and f’(x) if you want f(f’(x)) to be x’ and f(f”(x)) to be x.
> 
> Well, I have to admit that I didn't explicitly talk about that case in 
> my 'proof'. For functions in general (e.g. a function such as f(x) = 
> (x+7) mod 15), you are right.
> 
> But f(x) (the general mapping function) is idempotent (i.e. f(x) = 
> f(f(x)), which means that you can map as many times as you want, you 
> always get the same result). This is also true for any locale-dependent 
> mapping function.

I can not say it is. It might be a requirement that you set on the function. I don’t know enough about various languages in the world, bidirectionality and punctuation. See latest discussions about punctuation in Armenian language and script and it’s impact on registration.

> If it were not the case, human users would be very 
> surprised: a maps to A, but then A maps to a: That wouldn't make any sense.

No, we talk about f(a)=b and f(b)=c as one thing and f(a)=b and f(b)=a as a different one.

> Also, and even more important, for the general mapping function, if x is 
> allowed in IDNs, then f(x) = x.

That’s another requirement. Maybe in one locale you DO map from one to another?

> This may not be true for a 
> locale-dependent mapping function (i.e. it would be possible for a 
> German mapping function to map (Hungarian) ȁ to ä, although that's not 
> needed because German keyboards won't produce ȁ in the first place).

It might produce it via copy and paste.

> So if f(x)=x', that would mean that x is not allowed in IDNs. That would 
> mean that it is impossible that in a specific locale, the desired result 
> of f(f'(x)) is x. It may be different from x', i.e. y, but we can easily 
> get this by defining that f'(x) = y.
> 
> So applying the (in most if not all cases very small) locale-specific 
> mapping before the general mapping always will work.

I don’t understand what your goal is.

What I am saying is that what mapping is done when a string enters the system the first time, mapping is to happen and it is context dependent where context can for example be locale.

What is wrong with that statement?

   Patrik

> 
> Regards,   Martin.