/usr/share/gap/pkg/openmath/private/private.g is in gap-openmath 11.2.0+ds-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
#W new.g OpenMath Package Marco Costantini
##
#Y Copyright (C) 1999, 2000, 2001, 2006
#Y School Math and Comp. Sci., University of St. Andrews, Scotland
#Y Copyright (C) 2004, 2005, 2006 Marco Costantini
##
## This file contains update to the record OMsymRecord, according to the
## current OpenMath CDs (for converting from OpenMath to GAP),
##
######################################################################
##
## Semantic mappings for symbols from private CD algnums.ocd
##
BindGlobal("OMgapNthRootOfUnity",
x -> OMgapId( [ OMgap2ARGS(x), E(x[1])^x[2] ] )[2] );
######################################################################
##
## Semantic mappings for symbols from private CD cas.ocd
##
## quit
BindGlobal("OMgapQuitFunc", function() return fail; end);
BindGlobal("OMgapQuit", x->OMgapQuitFunc());
## assign
BindGlobal("OMgapAssignFunc", function(varname, obj)
if IsBoundGlobal(varname) then
UnbindGlobal(varname);
fi;
BindGlobal(varname, obj);
MakeReadWriteGlobal(varname);
return "";
end);
BindGlobal("OMgapAssign",
x->OMgapId([OMgap2ARGS(x), OMgapAssignFunc(x[1],x[2])])[2]);
## retrieve
BindGlobal("OMgapRetrieveFunc", function(varname)
if ValueGlobal(varname) = fail then
return false;
else
return ValueGlobal(varname);
fi;
end);
BindGlobal("OMgapRetrieve",
x->OMgapId([OMgap1ARGS(x), OMgapRetrieveFunc(x[1])])[2]);
## native_statement and error
OM_GAP_OUTPUT_STR := "";
OM_GAP_ERROR_STR := "";
BindGlobal("OMgapNativeStatementFunc", function(statement)
local i, result;
OM_GAP_ERROR_STR := "";
# if statement has READ, Read, WRITE or Write then it's invalid
if (PositionSublist(statement, "READ") <> fail) or
(PositionSublist(statement, "Read") <> fail) or
(PositionSublist(statement, "WRITE") <> fail) or
(PositionSublist(statement, "Write") <> fail) then
OM_GAP_ERROR_STR := "Invalid Statement";
return false;
fi;
i := InputTextString(statement);
# want to catch standard out.
result := READ_COMMAND(i,false);
CloseStream(i);
OM_GAP_OUTPUT_STR := StringView(result);
# this is the way of indicating an error condition...
if (result = fail) then
OM_GAP_ERROR_STR := "Unknown Error";
return false;
fi;
return true;
end);
BindGlobal("OMgapNativeStatement",
x->OMgapId([OMgap1ARGS(x), OMgapNativeStatementFunc(x[1])])[2]);
BindGlobal("OMgapNativeErrorFunc", function()
return OM_GAP_ERROR_STR; # near as possible to the empty object
end);
BindGlobal("OMgapNativeError",
x->OMgapId(OMgapNativeErrorFunc()));
BindGlobal("OMgapNativeOutputFunc", function()
return OM_GAP_OUTPUT_STR; # near as possible to the empty object
end);
BindGlobal("OMgapNativeOutput",
x->OMgapId(OMgapNativeOutputFunc()));
######################################################################
##
## Semantic mappings for private symbols from group1.cd
##
BindGlobal("OMgapCharacterTableOfGroup",
x->OMgapId([OMgap1ARGS(x), CharacterTable(x[1])])[2]);
#######################################################################
##
## Conversion from OpenMath to GAP for private CDs and symbols
##
OMsymRecord_private := rec(
algnums := rec( # see this CD in openmath/cds directory
NthRootOfUnity := OMgapNthRootOfUnity,
star := fail
),
cas := rec( # see this CD in openmath/cds directory
assign := OMgapAssign,
native_error := OMgapNativeError,
native_output := OMgapNativeOutput,
native_statement := OMgapNativeStatement,
referent := fail,
retrieve := OMgapRetrieve,
("quit") := OMgapQuit,
),
fpgroup1 := rec( # experimental symbols, see openmath/cds/group1
fpgroup := function( x )
local f, fam, rels, i;
f := x[1];
fam := FamilyObj( One(f) );
rels := [];
for i in [2..Length(x)] do
Add( rels, ObjByExtRep( fam, x[i] ) );
od;
return f/rels;
end,
free_groupn := x -> FreeGroup( x[1] )
),
group1 := rec( # experimental symbols, see openmath/cds/group1
group_by_generators := Group, # we take just list of generators unlike in
# group1.group from the official group1 CDs
character_table_of_group := OMgapCharacterTableOfGroup,
character_table := OMgapCharacterTableOfGroup
),
monoid1 := rec(
monoid_by_generators := Monoid # we take just list of generators unlike in
# semigroup1.semigroup from the official group1 CDs
),
pcgroup1 := rec(
pcgroup_by_pcgscode := x -> PcGroupCode( x[1], x[2] )
),
record1 := rec(
record := function( x )
local i, r;
r := rec();
for i in [ 2, 4 .. Length(x) ] do
r.(x[i-1]) := x[i];
od;
return r;
end,
),
semigroup1 := rec(
semigroup_by_generators := Semigroup # we take just list of generators unlike in
# semigroup1.semigroup from the official group1 CDs
),
transform1 := rec( # TODO: document it
transformation := Transformation
),
);
#############################################################################
#E
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