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Example of parametric type does not work

Hi! I am trying an example which defines pair type. It does not work for me. My SBCL is 2.2.8. This is what I try:

Firstly I create a file with the following content:

(defpackage parametric-types-demo
  (:use #:extensible-compound-types-cl
        #:polymorphic-functions))

(in-package :parametric-types-demo)

(defstruct pair a b)

(define-compound-type pair (o &optional (type-a 'cl:*) (type-b 'cl:*))
  "A user-defined compound-type that allows the specification of the
types of the values stored in slots A and B of the structure-class
PAIR."
  (and (cl:typep o 'pair)
       (with-slots (a b) o
         (and (if (eq 'cl:* type-a)
                  t
                  (cl:typep a type-a))
              (if (eq 'cl:* type-b)
                  t
                  (cl:typep b type-b))))))

Secondly, in the REPL I do the following:

* (push :extensible-compound-types cl:*features*)
(:EXTENSIBLE-COMPOUND-TYPES :QUICKLISP :ASDF3.3 :ASDF3.2 :ASDF3.1 :ASDF3 :ASDF2
 :ASDF :OS-UNIX :NON-BASE-CHARS-EXIST-P :ASDF-UNICODE :SINGLE-FLOAT-TRAN
 :X86-64 :GENCGC :64-BIT :ANSI-CL :BSD :COMMON-LISP :ELF :FREEBSD
 :IEEE-FLOATING-POINT :LITTLE-ENDIAN :PACKAGE-LOCAL-NICKNAMES
 :SB-CORE-COMPRESSION :SB-LDB :SB-PACKAGE-LOCKS :SB-THREAD :SB-UNICODE :SBCL
 :UNIX)
*
(ql:quickload :polymorphic-functions)
To load "polymorphic-functions":
  Load 1 ASDF system:
    polymorphic-functions
; Loading "polymorphic-functions"
..................................................
[package polymorphic-functions.defpackage]........
[package polymorphic-functions.extended-types]....
[package polymorphic-functions.nonuser]...........
[package polymorphic-functions]...................
.................................
(:POLYMORPHIC-FUNCTIONS)
* (ql:quickload :extensible-compound-types)
To load "extensible-compound-types":
  Load 1 ASDF system:
    extensible-compound-types
; Loading "extensible-compound-types"

(:EXTENSIBLE-COMPOUND-TYPES)
* (ql:quickload :extensible-compound-types-cl)
To load "extensible-compound-types-cl":
  Load 1 ASDF system:
    extensible-compound-types-cl
; Loading "extensible-compound-types-cl"

(:EXTENSIBLE-COMPOUND-TYPES-CL)
* (compile-file "~/testext.lisp")
; compiling file "~/testext.lisp" (written 08 SEP 2022 07:54:13 PM):
; processing (DEFPACKAGE PARAMETRIC-TYPES-DEMO ...)
; processing (IN-PACKAGE :PARAMETRIC-TYPES-DEMO)
; processing (DEFSTRUCT PAIR ...)
; processing (DEFINE-COMPOUND-TYPE PAIR ...)
; file: ~/testext.lisp
; in: DEFINE-COMPOUND-TYPE PAIR
;     (EXTENSIBLE-COMPOUND-TYPES:DEFINE-COMPOUND-TYPE PARAMETRIC-TYPES-DEMO::PAIR
;         (PARAMETRIC-TYPES-DEMO::O &OPTIONAL (PARAMETRIC-TYPES-DEMO::TYPE-A '*)
;          (PARAMETRIC-TYPES-DEMO::TYPE-B '*))
;       "A user-defined compound-type that allows the specification of the
;   types of the values stored in slots A and B of the structure-class
;   PAIR."
;       (AND (TYPEP PARAMETRIC-TYPES-DEMO::O 'PARAMETRIC-TYPES-DEMO::PAIR)
;            (EXTENSIBLE-COMPOUND-TYPES-CL:WITH-SLOTS (PARAMETRIC-TYPES-DEMO::A
;                                                      PARAMETRIC-TYPES-DEMO::B)
;                PARAMETRIC-TYPES-DEMO::O
;              (AND
;               (IF #
;                   T
;                   #)
;               (IF #
;                   T
;                   #)))))
; --> DEFTYPE PROGN EVAL-WHEN
; ==>
;   (SB-IMPL::%DEFTYPE 'PARAMETRIC-TYPES-DEMO::PAIR
;                      (SB-INT:NAMED-LAMBDA (SB-IMPL::TYPE-EXPANDER
;                                            PARAMETRIC-TYPES-DEMO::PAIR)
;                          (#:EXPR &AUX (#:FORM0 #:EXPR))
;                        (DECLARE (SB-C::LAMBDA-LIST (&OPTIONAL # #)))
;                        (SB-INT:NAMED-DS-BIND (:MACRO
;                                               PARAMETRIC-TYPES-DEMO::PAIR
;                                               . DEFTYPE)
;                            (&OPTIONAL (PARAMETRIC-TYPES-DEMO::TYPE-A '*)
;                             (PARAMETRIC-TYPES-DEMO::TYPE-B '*))
;                            (CDR #:EXPR)
;                          (DECLARE
;                           (SB-C::CONSTANT-VALUE PARAMETRIC-TYPES-DEMO::TYPE-A
;                                                 PARAMETRIC-TYPES-DEMO::TYPE-B))
;                          (DECLARE
;                           (IGNORE PARAMETRIC-TYPES-DEMO::TYPE-A
;                            PARAMETRIC-TYPES-DEMO::TYPE-B))
;                          (BLOCK PARAMETRIC-TYPES-DEMO::PAIR
;                            (EXTENSIBLE-COMPOUND-TYPES:UPGRADED-CL-TYPE
;                             #:FORM0))))
;                      NIL)
;
; caught WARNING:
;   The class PAIR is being redefined to be a DEFTYPE.

A call to compile-file does not return, it just does some work so I have to interrupt it. Any ideas what's wrong?

`typep` for function objects and `subtypep` for function types

Since, this project has no intention to stick to CLHS, using swank/backend:function-name it looks possible to implement a typep for function objects.

subtypep might require more thought about the use case and accordingly whether we want covariant types as in SBCL, or contravariant types which might be the more correct thing.

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