MathAction SandBox Mapping

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SandBoxMorphism

This domain provides a function-like type that can be queried for domain and co-domain.

aldor

#include "axiom.as"
T ==> SetCategory;

Signature(source:T, target:T): with {
  domain:%->T;
  codomain:%->T;
  coerce:(source->target)  -> %;
  coerce:%->(source->target);
  coerce:%->OutputForm;
} == (source->target) add {
  Rep == (source->target);

  domain(p:%):T == source;
  codomain(p:%):T == target;
  coerce(r:(source->target)):% == per(r);
  coerce(p:%):(source->target) == p pretend (source->target);
  coerce(p:%):OutputForm == p pretend OutputForm;
};

aldor

   Compiling FriCAS source code from file 
      /var/zope2/var/LatexWiki/sig.as using AXIOM-XL compiler and 
      options 
-O -Fasy -Fao -Flsp -laxiom -Mno-AXL_W_WillObsolete -DAxiom -Y $AXIOM/algebra
      Use the system command )set compiler args to change these 
      options.
#1 (Warning) Deprecated message prefix: use `ALDOR_' instead of `_AXL'
"/var/zope2/var/LatexWiki/sig.as", line 13: 
  domain(p:%):T == source;
.........^
[L13 C10] #2 (Warning) Function returns a domain that might not be constant (which may cause problems if it is used in a dependent type).

"/var/zope2/var/LatexWiki/sig.as", line 14: 
  codomain(p:%):T == target;
...........^
[L14 C12] #3 (Warning) Function returns a domain that might not be constant (which may cause problems if it is used in a dependent type).

   Compiling Lisp source code from file ./sig.lsp
   Issuing )library command for sig
   Reading /var/zope2/var/LatexWiki/sig.asy
   Signature is now explicitly exposed in frame initial 
   Signature will be automatically loaded when needed from 
      /var/zope2/var/LatexWiki/sig

aldor

#include "axiom.as"
T ==> SetCategory;

Signature2(source1:T, source2:T, target:T): with {
  domain:%->T;
  codomain:%->T;
  coerce:((source1,source2)->target)  -> %;
  coerce:%->((source1,source2)->target);
  coerce:%->OutputForm;
} == ((source1,source2)->target) add {
  Rep == ((source1,source2)->target);

  domain(p:%):T == Product(source1,source2);
  codomain(p:%):T == target;
  coerce(r:(source1,source2)->target):% == per(r);
  coerce(p:%):((source1,source2)->target) == p pretend ((source1,source2)->target);
  coerce(p:%):OutputForm == p pretend OutputForm;
}

aldor

   Compiling FriCAS source code from file 
      /var/zope2/var/LatexWiki/sig2.as using AXIOM-XL compiler and 
      options 
-O -Fasy -Fao -Flsp -laxiom -Mno-AXL_W_WillObsolete -DAxiom -Y $AXIOM/algebra
      Use the system command )set compiler args to change these 
      options.
#1 (Warning) Deprecated message prefix: use `ALDOR_' instead of `_AXL'
"/var/zope2/var/LatexWiki/sig2.as", line 13: 
  domain(p:%):T == Product(source1,source2);
.........^
[L13 C10] #2 (Warning) Function returns a domain that might not be constant (which may cause problems if it is used in a dependent type).

"/var/zope2/var/LatexWiki/sig2.as", line 14: 
  codomain(p:%):T == target;
...........^
[L14 C12] #3 (Warning) Function returns a domain that might not be constant (which may cause problems if it is used in a dependent type).

   Compiling Lisp source code from file ./sig2.lsp
   Issuing )library command for sig2
   Reading /var/zope2/var/LatexWiki/sig2.asy
   Signature2 is now explicitly exposed in frame initial 
   Signature2 will be automatically loaded when needed from 
      /var/zope2/var/LatexWiki/sig2

axiom