For operations like CharacterTable, there are several implementations in GAP.
To find out what is actually called, you can (often) use 'ApplicableMethod',
which accepts a function and it's arguments (as a list)
For example, Print(ApplicableMethod(CharacterTable, [AlternatingGroup(5)]))
shows the function for finding this character table.
Unfortunately, if we try the same for primitive root, we get:
gap> Print(ApplicableMethod(PrimitiveRoot, [GF(3^5)]));
function ( object )
<<kernel or compiled code>>
end
This tells us this code is not written in GAP, but instead in C.
On 16/04/2016, 12:33, "forum-boun...@gap-system.org on behalf of fatemeh
moftakhar" <forum-boun...@gap-system.org on behalf of f.k.moftak...@gmail.com>
wrote:
>Dear Forum
>
>The command "Print(ff)" in GAP gives the code of the "ff" written in GAP.
>See for example the following command in GAP:
>gap> Print(Combinations);
>function ( arg )
> local combs, mset;
> if Length( arg ) = 1 then
> mset := ShallowCopy( arg[1] );
> Sort( mset );
> combs := CombinationsA( mset, 1, Length( mset ), [ ], 1 );
> elif Length( arg ) = 2 then
> mset := ShallowCopy( arg[1] );
> Sort( mset );
> combs := CombinationsK( mset, 1, Length( mset ), arg[2], [ ], 1 );
> else
> Error( "usage: Combinations( <mset> [, <k>] )" );
> fi;
> return combs;
>end
>
>If I run the command "Print(CharacterTable)", then we can see the following
>GAP message:
>
>gap> Print(CharacterTable);
><Operation "CharacterTable">
>
>Is it possible to find the GAP code for CharacterTable?
>
>If no, is it possible to find the source of the program for calculating
>with primitive roots of unity in GAP?
>
>finally where is the library of primitive roots of unity? For example I
>need to source program of GAP for computing E(8)-E(8)^3?
>
>Best regards
>Fatemeh Moftakhar
>
>--
>Regards;
>Miss Fatemeh Moftakhar
>PhD Candidate,
>Department of Pure Mathematics,
>Faculty of Mathematical Sciences,
>University of Kashan, Kashan, Iran
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