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#423 showSummary fails  ← ↑ →  #425 confusion over Category

#424 Interpreter code generation failed
  
last edited 16 years ago by gdr

Edit detail for #424 Interpreter code generation failed revision 7 of 11
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Editor: Bill Page
Time: 2008/05/29 14:36:02 GMT-7
Note: declarations require domains 
added:

From BillPage Thu May 29 14:36:02 -0700 2008
From: Bill Page
Date: Thu, 29 May 2008 14:36:02 -0700
Subject: declarations require domains
Message-ID: <20080529143602-0700@axiom-wiki.newsynthesis.org>

Something is still inconsistent here::

  (1) -> ST(x:Integer):Category == (x=0 => SetCategory;Type)
   Function declaration ST : Integer -> Category has been added to
      workspace.
                                            Type: Void
  (2) -> A:=ST(0)
   Compiling function ST with type Integer -> Category

  ;;;     ***       |*1;ST;1;frame1392| REDEFINED
  ; (DEFUN |*1;ST;1;frame1392| ...) is being compiled.
  ;; The variable |*1;ST;1;frame1392;MV| is undefined.
  ;; The compiler will assume this variable is a global.

   (2)  SetCategory
                                            Type: Category
  (3) -> B:=ST(1)

   (3)  Type
                                            Type: Category
  (4) -> C:Category

   Category is a category, not a domain, and declarations require
      domains.
  (4) -> C:Category:=Ring

   Category is a category, not a domain, and declarations require
      domains.

  (4) -> C:=Ring

   (4)  Ring
                                               Type: Category

  (5) -> )display type X

   Type of value of X: Category

-------

If the type of a category-valued variable can be implicitly
made to be 'Category', it should also be possible to declare
this to be so.

Submitted by : Bill Page at: 2008-05-28T17:06:58-07:00 (16 years ago)
Name :
Axiom Version :
Category : Severity : Status :
Optional subject :  
Optional comment :

In OpenAxiom? one should be able to write a function that returns a 'Category': 

axiom
ST(x:Integer):Category == (x=0 => SetCategory;Type)
   Function declaration ST : Integer -> Category has been added to
      workspace.
Type: Void
axiom
ST(0)
   Internal Error
   Interpreter code generation failed for expression
      (IF (= |#1| 0) |SetCategory| |Type|)

but we get the error message: 

   Internal Error
   Interpreter code generation failed for expression
      (IF (= |#1| 0) |SetCategory| |Type|)

This is ok for functions that return 'Domain': 

axiom
FI(x:Integer):Domain == (x=0 => Float;Integer)
   Function declaration FI : Integer -> Domain has been added to
      workspace.
Type: Void
axiom
FI(0)
axiom
Compiling function FI with type Integer -> Domain 
; (DEFUN |*1;FI;1;initial| ...) is being compiled.
;; The variable |*1;FI;1;initial;MV| is undefined.
;; The compiler will assume this variable is a global.
LatexWiki Image(1)
Type: Domain
axiom
FI(1)
LatexWiki Image(2)
Type: Domain

... --Bill Page, Wed, 28 May 2008 17:07:17 -0700 reply
Axiom Version: => /usr/local/lib/open-axiom/x86_64-unknown-linux/1.2.0-2008-05-25

category valued functions --gdr, Wed, 28 May 2008 17:52:23 -0700 reply
Because the function of categories is to oversee domains, it is much much harder to have category valued functions with the current compilation scheme.

However, in the interpreter we should probably try to accomodate for as much as we can because we can also do a small step semantics, e.g. interpret literally the codes.

Going back to your problem, an issue here is with what the type of Type should be. Currently, OpenAxiom? says that Type has type Type, instead of Category: 

axiom
Type
LatexWiki Image(3)
Type: Type
axiom
typeOf Type
LatexWiki Image(4)
Type: Type

Another option might be to say that Type has type Category. That would make your function OK. Note that the following works fine

axiom
ST2(x: Integer): Category == (x=0 => SetCategory; Ring)
   Function declaration ST2 : Integer -> Category has been added to
      workspace.
Type: Void
axiom
ST2 0
axiom
Compiling function ST2 with type Integer -> Category 
; (DEFUN |*1;ST2;1;initial| ...) is being compiled.
;; The variable |*1;ST2;1;initial;MV| is undefined.
;; The compiler will assume this variable is a global.
LatexWiki Image(5)
Type: Category
axiom
ST2 1
LatexWiki Image(6)
Type: Category

fixed --gdr, Wed, 28 May 2008 22:48:49 -0700 reply
Bill, your original example now works.

declarations require domains --Bill Page, Thu, 29 May 2008 14:36:02 -0700 reply
Something is still inconsistent here: 
  (1) -> ST(x:Integer):Category == (x=0 => SetCategory;Type)
   Function declaration ST : Integer -> Category has been added to
      workspace.
                                            Type: Void
  (2) -> A:=ST(0)
   Compiling function ST with type Integer -> Category

  ;;;     ***       |*1;ST;1;frame1392| REDEFINED
  ; (DEFUN |*1;ST;1;frame1392| ...) is being compiled.
  ;; The variable |*1;ST;1;frame1392;MV| is undefined.
  ;; The compiler will assume this variable is a global.

   (2)  SetCategory
                                            Type: Category
  (3) -> B:=ST(1)

   (3)  Type
                                            Type: Category
  (4) -> C:Category

   Category is a category, not a domain, and declarations require
      domains.
  (4) -> C:Category:=Ring

   Category is a category, not a domain, and declarations require
      domains.

  (4) -> C:=Ring

   (4)  Ring
                                               Type: Category

  (5) -> )display type X

   Type of value of X: Category

-------

If the type of a category-valued variable can be implicitly made to be Category, it should also be possible to declare this to be so.