Edit detail for SandBoxSpeciesCategory revision 4 of 4

(1) -> <spad>

)abb category SPECCAT SpeciesCategory
SpeciesCategory(L: SetCategory): Category == SetCategory with
       structures: Set L -> List %
       name: () -> String

)abb domain CHARSPEC CharacteristicSpecies
CharacteristicSpecies(L: SetCategory, n: Integer): SpeciesCategory L
   == add
       Rep := Set L

       coerce(t: %): OutputForm == coerce(t)$Rep

       structures s == if #s = n then [s] else []

       name () == concat ["CharacteristicSpecies(", string n, ")"]

)abb domain SPECIES Species
Species(L: SetCategory): Ring with
       coerce: % -> SpeciesCategory L
 == add
   Rep := SpeciesCategory L

   coerce(s: %): OutputForm ==
       S := s pretend SpeciesCategory(L)
       name()$S::OutputForm

   coerce(s: %): SpeciesCategory L == s pretend SpeciesCategory(L)

   0 == CharacteristicSpecies(L, 0) pretend Rep
   1 == CharacteristicSpecies(L, 1) pretend Rep</spad>

Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/32396914629305039-25px001.spad
      using old system compiler.
   SPECCAT abbreviates category SpeciesCategory 
------------------------------------------------------------------------
   initializing NRLIB SPECCAT for SpeciesCategory 
   compiling into NRLIB SPECCAT 

;;;     ***       |SpeciesCategory| REDEFINED
Time: 0 SEC.

   finalizing NRLIB SPECCAT 
   Processing SpeciesCategory for Browser database:
--->-->SpeciesCategory(constructor): Not documented!!!!
--->-->SpeciesCategory((structures ((List %) (Set L)))): Not documented!!!!
--->-->SpeciesCategory((name ((String)))): Not documented!!!!
--->-->SpeciesCategory(): Missing Description
; compiling file "/var/aw/var/LatexWiki/SPECCAT.NRLIB/SPECCAT.lsp" (written 10 JAN 2025 07:11:05 PM):

; wrote /var/aw/var/LatexWiki/SPECCAT.NRLIB/SPECCAT.fasl
; compilation finished in 0:00:00.004
------------------------------------------------------------------------
   SpeciesCategory is now explicitly exposed in frame initial 
   SpeciesCategory will be automatically loaded when needed from 
      /var/aw/var/LatexWiki/SPECCAT.NRLIB/SPECCAT

   CHARSPEC abbreviates domain CharacteristicSpecies 
------------------------------------------------------------------------
   initializing NRLIB CHARSPEC for CharacteristicSpecies 
   compiling into NRLIB CHARSPEC 
   compiling exported coerce : % -> OutputForm
Time: 0 SEC.

   compiling exported structures : Set L -> List %
Time: 0 SEC.

   compiling exported name : () -> String
Time: 0 SEC.

(time taken in buildFunctor:  0)

;;;     ***       |CharacteristicSpecies| REDEFINED

;;;     ***       |CharacteristicSpecies| REDEFINED
Time: 0 SEC.

   Cumulative Statistics for Constructor CharacteristicSpecies
      Time: 0.01 seconds

   finalizing NRLIB CHARSPEC 
   Processing CharacteristicSpecies for Browser database:
--->-->CharacteristicSpecies(): Missing Description
; compiling file "/var/aw/var/LatexWiki/CHARSPEC.NRLIB/CHARSPEC.lsp" (written 10 JAN 2025 07:11:05 PM):

; wrote /var/aw/var/LatexWiki/CHARSPEC.NRLIB/CHARSPEC.fasl
; compilation finished in 0:00:00.012
------------------------------------------------------------------------
   CharacteristicSpecies is now explicitly exposed in frame initial 
   CharacteristicSpecies will be automatically loaded when needed from 
      /var/aw/var/LatexWiki/CHARSPEC.NRLIB/CHARSPEC

   SPECIES abbreviates domain Species 
------------------------------------------------------------------------
   initializing NRLIB SPECIES for Species 
   compiling into NRLIB SPECIES 
Local variable Rep type redefined: (Category) to (FiniteSetAggregate L)
   compiling exported coerce : % -> OutputForm
Time: 0 SEC.

   compiling exported coerce : % -> SpeciesCategory L
      SPECIES;coerce;%Sc;2 is replaced by s 
Time: 0 SEC.

   compiling exported Zero : () -> %
****** comp fails at level 1 with expression: ******
error in function Zero 

((|Category|))
****** level 1  ******
$x:= (Category)
$m:= $EmptyMode
$f:=
((((|Rep| #) (~= #) (= #) (|coerce| #) ...)))

   >> Apparent user error:
   cannot compile (Category)

On Tue, Nov 11, 2008 at 7:38 PM Waldek Hebisch wrote:

Martin wrote:

 I did the following experiment.

 In FriCAS, I get an error when I uncomment the line containing the Rep in
 SPECIES.  This does not happen in Open-Axiom.  Otherwise, it compiles and I can
 do

 (1) -> S1 := 1$Species INT

    (1)  "CharacteristicSpecies(1)"

                                            Type: Species(Integer)
 (2) -> S2 := S1::SpeciesCategory INT

    You cannot use SpeciesCategory(Integer) or any other category in a
       target, coercion, or package-call context.

I am slightly suprized that the file compiles and is doing someting sensible.

This is message S2IE0014 (normal tactic when looking at simlar cases is to search src/share/doc/msgs/s2-us.msgs to find message id and then grep sources to find where the id is used). It appears twice in i-spec1.boot:

  grep -n S2IE0014 *
  i-spec1.boot:383:  categoryForm?(m) => throwKeyedMsg("S2IE0014",[m])
  i-spec1.boot:408:  categoryForm?(m) => throwKeyedMsg("S2IE0014",[m])

Try commenting out the checks.

import i_-analy
namespace BOOT

--% Handlers for TARGET

upTARGET t ==
  -- Evaluates the rhs to a mode,which is used as the target type for
  -- the lhs.
  t isnt [op,lhs,rhs] => nil
  -- do not (yet) support local variables on the rhs
  (not $genValue) and or/[CONTAINED(var,rhs) for var in $localVars] =>
    keyedMsgCompFailure("S2IC0010",[rhs])
  $declaredMode: local := NIL
  m:= evaluateType unabbrev rhs
  not isLegitimateMode(m,NIL,NIL) => throwKeyedMsg("S2IE0004",[m])
  --categoryForm?(m) => throwKeyedMsg("S2IE0014",[m])
  $declaredMode:= m
  not atom(lhs) and putTarget(lhs,m)
  ms := bottomUp lhs
  first ms ^= m =>
    throwKeyedMsg("S2IC0011",[first ms,m])
  putValue(op,getValue lhs)
  putModeSet(op,ms)

--% Handlers for COERCE

upCOERCE t ==
  -- evaluate the lhs and then tries to coerce the result to the
  -- mode which is the rhs.
  -- previous to 5/16/89, this had the same semantics as
  --    (lhs@rhs) :: rhs
  -- this must be made explicit now.
  t isnt [op,lhs,rhs] => nil
  $useConvertForCoercions : local := true
  -- do not (yet) support local variables on the rhs
  (not $genValue) and or/[CONTAINED(var,rhs) for var in $localVars] =>
    keyedMsgCompFailure("S2IC0006",[rhs])
  $declaredMode: local := NIL
  m := evaluateType unabbrev rhs
  not isLegitimateMode(m,NIL,NIL) => throwKeyedMsg("S2IE0004",[m])
  --categoryForm?(m) => throwKeyedMsg("S2IE0014",[m])
  $declaredMode:= m
  -- 05/16/89 (RSS) following line commented out to give correct
  -- semantic difference between :: and @
  bottomUp lhs
  type:=evalCOERCE(op,lhs,m)
  putModeSet(op,[type])

 
   The file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/6792422082361307195-25px002.boot
      is needed but does not exist.

S1 := 1$Species INT

   Species is an unknown constructor and so is unavailable. Did you 
      mean to use -> but type something different instead?

)abb category SPECCAT SpeciesCategory
SpeciesCategory(L: SetCategory): Category == SetCategory with
       structures: Set L -> List %

)abb domain CHARSPEC CharacteristicSpecies
CharacteristicSpecies(L: SetCategory, n: Integer): SpeciesCategory L
   == add
       Rep == Set L

       coerce(t: %): OutputForm == coerce(rep t)
       x=y == rep(x)=rep(y)
       structures(s:Set L):List % == if #s = n then [per s] else []

)abb domain SPECIES Species
Species(L: SetCategory): Ring with
       coerce: % -> SpeciesCategory L
 == add
   Rep == Domain

   coerce(s: %): OutputForm == rep(s)::OutputForm
   coerce(s: %): SpeciesCategory L == rep(s) pretend SpeciesCategory(L)
   x=y == rep(x)=rep(y)
   0 == per CharacteristicSpecies(L, 0)
   1 == per CharacteristicSpecies(L, 1)

   Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/1039357515318325496-25px004.spad
      using old system compiler.
   SPECCAT abbreviates category SpeciesCategory 
------------------------------------------------------------------------
   initializing NRLIB SPECCAT for SpeciesCategory 
   compiling into NRLIB SPECCAT 

;;;     ***       |SpeciesCategory| REDEFINED
Time: 0 SEC.

   finalizing NRLIB SPECCAT 
   Processing SpeciesCategory for Browser database:
--->/var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/32396914629305039-25px001.spad-->SpeciesCategory(constructor): Not documented!!!!
--->/var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/32396914629305039-25px001.spad-->SpeciesCategory((structures ((List %) (Set L)))): Not documented!!!!
--->/var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/32396914629305039-25px001.spad-->SpeciesCategory(): Missing Description
; compiling file "/var/aw/var/LatexWiki/SPECCAT.NRLIB/SPECCAT.lsp" (written 10 JAN 2025 07:11:05 PM):

; wrote /var/aw/var/LatexWiki/SPECCAT.NRLIB/SPECCAT.fasl
; compilation finished in 0:00:00.000
------------------------------------------------------------------------
   SpeciesCategory is already explicitly exposed in frame initial 
   SpeciesCategory will be automatically loaded when needed from 
      /var/aw/var/LatexWiki/SPECCAT.NRLIB/SPECCAT

   CHARSPEC abbreviates domain CharacteristicSpecies 
------------------------------------------------------------------------
   initializing NRLIB CHARSPEC for CharacteristicSpecies 
   compiling into NRLIB CHARSPEC 
************* USER ERROR **********
available signatures for Rep: 
    NONE
NEED Rep: () -> ?
****** comp fails at level 1 with expression: ******
((DEF (|Rep|) (NIL) (|Set| L)))
****** level 1  ******
$x:= (DEF (Rep) (NIL) (Set L))
$m:= $EmptyMode
$f:=
((((~= #) (= #) (|coerce| #) (|latex| #) ...)))

   >> Apparent user error:
   unspecified error

X := 0$Species INT

   Species is an unknown constructor and so is unavailable. Did you 
      mean to use -> but type something different instead?

If a Species is a Ring, how can we define + and *?