diff --git a/lib/oprt.gd b/lib/oprt.gd index 82b762daf7..64480e38c8 100644 --- a/lib/oprt.gd +++ b/lib/oprt.gd @@ -1075,10 +1075,85 @@ DeclareGlobalFunction("MultiActionsHomomorphism"); ## ## <#/GAPDoc> ## -OrbitishFO( "SparseActionHomomorphism", OrbitishReq, - IsIdenticalObj, false,false ); -OrbitishFO( "SortedSparseActionHomomorphism", OrbitishReq, - IsIdenticalObj, false,false ); + +BindGlobal( "SparseActHomFO", function( name, reqs, famrel ) +local str, orbish, func; + + # Create the operation. + str:= SHALLOW_COPY_OBJ( name ); + + APPEND_LIST_INTR( str, "Op" ); + orbish := NewOperation( str, reqs ); + BIND_GLOBAL( str, orbish ); + + # Create the wrapper function. + func := function( arg ) + local G, D, pnt, gens, acts, act, xset, p, attrG, result,le; + + # Get the arguments. + if 2 <= Length( arg ) then + le:=Length(arg); + G := arg[ 1 ]; + if IsFunction( arg[ le ] ) then + act := arg[ le ]; + le:=le-1; + else + act := OnPoints; + fi; + if Length( arg ) > 2 + and famrel( FamilyObj( arg[ 2 ] ), FamilyObj( arg[ 3 ] ) ) + then + D := arg[ 2 ]; + if IsDomain( D ) then + if IsFinite( D ) then D:= AsSSortedList( D ); else D:= Enumerator( D ); fi; + fi; + p := 3; + else + p := 2; + fi; + pnt := Immutable(arg[ p ]); + if Length( arg ) > p + 1 then + gens := arg[ p + 1 ]; + acts := arg[ p + 2 ]; + fi; + else + Error( "usage: ", name, "(,)\n", + "or ", name, "([,],[,,][,])" ); + fi; + + G := PreOrbishProcessing(G); + + if not IsBound( gens ) then + if (not IsPermGroup(G)) and CanEasilyComputePcgs( G ) then + gens := Pcgs( G ); + else + gens := GeneratorsOfGroup( G ); + fi; + acts := gens; + fi; + + for p in pnt do + TestIdentityAction(acts,p,act); + od; + + if IsBound( D ) then + result := orbish( G, D, pnt, gens, acts, act ); + else + + # The following line is also executed when `Blocks(, , )' + # is called to compute blocks with no seed, but then is really + # , i.e., the operation domain! + result := orbish( G, pnt, gens, acts, act ); + + fi; + + return result; + end; + BIND_GLOBAL( name, func ); +end ); + +SparseActHomFO( "SparseActionHomomorphism", OrbitishReq, IsIdenticalObj ); +SparseActHomFO( "SortedSparseActionHomomorphism", OrbitishReq, IsIdenticalObj ); ############################################################################# ##