Hi Pascal

this works in LW

CL-USER 21 > (deftype msb (&optional (bits 8))
               `(satisfies ,(curry1 'msb-test bits)))

MSB

CL-USER 22 > (typep 42 '(msb 6)) ; Less than or equal to 6, fail.
NIL

CL-USER 23 > (typep 42 '(msb 7)) ; Greater than or equal to 7, succeed.
T

The function CURRY1 just curries one argument and MSB-TEST does the check, taking two arguments, the second being the object to typep (details irrelevant; trust me: it works).

I know: done too much Haskell recently.

MA

On Wed, Feb 21, 2024 at 11:45 PM Pascal Bourguignon <pjb@informatimago.com> wrote:
Le 21/02/2024 à 22:10, Marco Antoniotti a écrit :
> Hi
>
> I just stumbled upon this and I need confirmation.
>
> You cannot do anything like this, can you?
>
> *(defstruct foo x)*
> *
> *
> *(deftype foo-with-x (x) (satisfies 'foo-with-x-p)) ; No `x'!

deftype is like defmacro really.

So you could write:

(deftype foo-with-x (x)
   `(satisfies ',(intern (format nil "FOO-WITH-~S-P" x)))

But you would need to have defined also the predicate with the same name
at compilation-time (or, when the type is used).



cl-user> (deftype foo-with-x (x)
            `(satisfies ,(intern (with-standard-io-syntax (format nil
"FOO-WITH-~S-P" x)))))
FOO-WITH-X
cl-user> (defstruct foo x)
FOO
cl-user> (defstruct bar y)
BAR
cl-user> (defun foo-with-x-p (o) (typep o 'foo))
FOO-WITH-X-P
cl-user> (defun foo-with-y-p (o) (typep o 'bar))
FOO-WITH-Y-P
cl-user> (typep (make-foo) '(foo-with-x x))
T
cl-user> (typep (make-foo) '(foo-with-x y))
NIL
cl-user> (typep (make-bar) '(foo-with-x y))
T
cl-user> (typep (make-bar) '(foo-with-x x))
NIL
cl-user>

> *(typep (make-foo :x 42) '(foo-with-x 42))*
>
> I.e., there is no way to pass the *x* to *foo-with-x-p*, is there?

Nope.  foo-with-x-p ie. the function given to satisfies must be the name
of a predicate of the whole object.

For something like: (typep (make-foo :x 42) '(foo-with-x 42))
you'd have to do:


cl-user> (deftype foo-with-x (value)
            `(satisfies ,(intern (with-standard-io-syntax (format nil
"FOO-WITH-X=~S-P" value)))))
FOO-WITH-X
cl-user> (defun foo-with-x=42-p (s) (= (foo-x s) 42))
FOO-WITH-X=42-P
cl-user> (typep (make-foo :x 42) '(foo-with-x 42))
T
cl-user> (typep (make-foo :x 33) '(foo-with-x 42))
NIL
cl-user>

Of course, what we'd want, is to generate the function or closure when
the deftype is expanded.  This is difficult, since we need to provide
satisfies a function name, and it must be defined at compilation-time.


I had a CLRFI that proposed to have lambda in satisfies, and that shows
an example of what has to be done without a lambda. Cf. attachments.

Note: this clrfi is not completely thought out, since for forms such as:

(deftype restricted-list (element-type)
       `(and (satisfies proper-list-p)
             (satisfies ,(lambda (list)
                           (every (lambda (item) (typep item
',element-type))
                                  list)))))

there is no closure (we build a new lambda expression for each use of
the type.

If we allowed (satisfies (lambda (...) ...))) we'd have to indicate in
what lexical environment the lambda expression would be evaluated
(assumedly, the lexical environment of the deftype body).  I have not
thought about the consequences of that.

--
__Pascal Bourguignon__