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yap-6.3/library/apply_macros.yap
2008-07-16 10:45:47 +00:00

680 lines
19 KiB
Prolog

% File : apply_macros.yap
% Author : E. Alphonse from code by Joachim Schimpf
% Updated: 15 June 2002
% Purpose: Macros to apply a predicate to all elements
% of a list or to all sub-terms of a term.
% Also has code from:
% File : APPLIC.PL
% Author : Lawrence Byrd + Richard A. O'Keefe
% Updated: 4 August 1984 and Ken Johnson 11-8-87
% Purpose: Various "function" application routines based on apply/2.
% Needs : append/3 from listut.pl
:- module(apply_macros, [selectlist/3,
checklist/2,
maplist/2,
maplist/3,
maplist/4,
maplist/5,
convlist/3,
mapargs/3,
sumargs/4,
mapnodes/3,
checknodes/2,
sumlist/4,
sumnodes/4,
include/3,
exclude/3,
partition/4,
partition/5
]).
:- meta_predicate
selectlist(:,+,-),
checklist(:,+),
maplist(:,+),
maplist(:,+,-),
maplist(:,+,+,-),
maplist(:,+,+,+,-),
convlist(:,+,-),
mapargs(:,+,-),
mapargs_args(:,+,-,+),
sumargs(:,+,+,-),
sumargs_args(:,+,+,-,+),
mapnodes(:,+,-),
mapnodes_list(:,+,-),
checknodes(:,+),
checknodes_list(:,+),
sumlist(:,+,+,-),
sumnodes(:,+,+,-),
sumnodes_body(:,+,+,-,+,+),
include(:,+,-),
exclude(:,+,-),
partition(:,+,-,-),
partition(:,+,-,-,-).
:- multifile user:goal_expansion/3.
:- use_module(library(lists), [append/3]).
:- use_module(library(charsio), [format_to_chars/3, read_from_chars/2]).
:- use_module(library(error), [must_be/2]).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Definitions for Metacalls
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
include(G,In,Out) :-
selectlist(G, In, Out).
selectlist(_, [], []).
selectlist(Pred, [In|ListIn], ListOut) :-
(call(Pred, In) ->
ListOut = [In|NewListOut]
;
ListOut = NewListOut
),
selectlist(Pred, ListIn, NewListOut).
exclude(_, [], []).
exclude(Pred, [In|ListIn], ListOut) :-
(call(Pred, In) ->
ListOut = NewListOut
;
ListOut = [In|NewListOut]
),
exclude(Pred, ListIn, NewListOut).
partition(_, [], [], []).
partition(Pred, [In|ListIn], List1, List2) :-
(call(Pred, In) ->
List1 = [In|RList1],
List2 = RList2
;
List1 = RList1,
List2 = [In|RList2]
),
partition(Pred, ListIn, RList1, RList2).
partition(_, [], [], [], []).
partition(Pred, [In|ListIn], List1, List2, List3) :-
call(Pred, In, Diff),
( Diff == (<) ->
List1 = [In|RList1],
List2 = RList2,
List3 = RList3
;
Diff == (=) ->
List1 = RList1,
List2 = [In|RList2],
List3 = RList3
;
Diff == (>) ->
List1 = RList1,
List2 = RList2,
List3 = [In|RList3]
;
must_be(oneof([<,=,>]), Diff)
),
partition(Pred, ListIn, RList1, RList2, RList3).
checklist(_, []).
checklist(Pred, [In|ListIn]) :-
call(Pred, In),
checklist(Pred, ListIn).
% maplist(Pred, OldList)
% succeeds when Pred(Old,New) succeeds for each corresponding
% Old in OldList, New in NewList. In InterLisp, this is MAPCAR.
% It is also MAP2C. Isn't bidirectionality wonderful?
maplist(_, []).
maplist(Pred, [In|ListIn]) :-
call(Pred, In),
maplist(Pred, ListIn).
% maplist(Pred, OldList, NewList)
% succeeds when Pred(Old,New) succeeds for each corresponding
% Old in OldList, New in NewList. In InterLisp, this is MAPCAR.
% It is also MAP2C. Isn't bidirectionality wonderful?
maplist(_, [], []).
maplist(Pred, [In|ListIn], [Out|ListOut]) :-
call(Pred, In, Out),
maplist(Pred, ListIn, ListOut).
% maplist(Pred, List1, List2, List3)
% succeeds when Pred(Old,New) succeeds for each corresponding
% Gi in Listi, New in NewList. In InterLisp, this is MAPCAR.
% It is also MAP2C. Isn't bidirectionality wonderful?
maplist(_, [], [], []).
maplist(Pred, [A1|L1], [A2|L2], [A3|L3]) :-
call(Pred, A1, A2, A3),
maplist(Pred, L1, L2, L3).
% maplist(Pred, List1, List2, List3, List4)
% succeeds when Pred(Old,New) succeeds for each corresponding
% Gi in Listi, New in NewList. In InterLisp, this is MAPCAR.
% It is also MAP2C. Isn't bidirectionality wonderful?
maplist(_, [], [], [], []).
maplist(Pred, [A1|L1], [A2|L2], [A3|L3], [A4|L4]) :-
call(Pred, A1, A2, A3, A4),
maplist(Pred, L1, L2, L3, L4).
% convlist(Rewrite, OldList, NewList)
% is a sort of hybrid of maplist/3 and sublist/3.
% Each element of NewList is the image under Rewrite of some
% element of OldList, and order is preserved, but elements of
% OldList on which Rewrite is undefined (fails) are not represented.
% Thus if foo(X,Y) :- integer(X), Y is X+1.
% then convlist(foo, [1,a,0,joe(99),101], [2,1,102]).
convlist(_, [], []).
convlist(Pred, [Old|Olds], NewList) :-
call(Pred, Old, New),
!,
NewList = [New|News],
convlist(Pred, Olds, News).
convlist(Pred, [_|Olds], News) :-
convlist(Pred, Olds, News).
mapargs(Pred, TermIn, TermOut) :-
functor(TermIn, F, N),
functor(TermOut, F, N),
mapargs_args(Pred, TermIn, TermOut, N).
mapargs_args(_, _, _, 0) :- !.
mapargs_args(Pred, TermIn, TermOut, I) :-
arg(I, TermIn, InArg),
arg(I, TermOut, OutArg),
I1 is I-1,
call(Pred, InArg, OutArg),
mapargs_args(Pred, TermIn, TermOut, I1).
sumargs(Pred, Term, A0, A1) :-
functor(Term, _, N),
sumargs(Pred, Term, A0, A1, N).
sumargs_args(_, _, A0, A1, 0) :-
!,
A0 = A1.
sumargs_args(Pred, Term, A1, A3, N) :-
arg(N, Term, Arg),
N1 is N - 1,
call(Pred, Arg, A1, A2),
sumargs_args(Pred, Term, A2, A3, N1).
mapnodes(Pred, TermIn, TermOut) :-
(atomic(TermIn); var(TermOut)), !,
call(Pred, TermIn, TermOut).
mapnodes(Pred, TermIn, TermOut) :-
call(Pred, TermIn, Temp),
Temp =.. [Func|ArgsIn],
mapnodes_list(Pred, ArgsIn, ArgsOut),
TermOut =.. [Func|ArgsOut].
mapnodes_list(_, [], []).
appnodes_list(Pred, [TermIn|ArgsIn], [TermOut|ArgsOut]) :-
mapnodes(Pred, TermIn, TermOut),
mapnodes_list(Pred, ArgsIn, ArgsOut).
checknodes(Pred, Term) :-
(atomic(Term); var(Term)), !,
call(Pred, Term).
checknodes(Pred, Term) :-
call(Pred, Term),
Term =.. [_|Args],
checknodes_list(Pred, Args).
checknodes_list(_, []).
checknodes_list(Pred, [Term|Args]) :-
checknodes_body(Pred, Term),
checknodes_list(Pred, Args).
sumlist(_, [], Acc, Acc).
sumlist(Pred, [H|T], AccIn, AccOut) :-
call(Pred, H, AccIn, A1),
sumlist(Pred, T, A1, AccOut).
sumnodes(Pred, Term, A0, A2) :-
call(Pred, Term, A0, A1),
(compound(Term) ->
functor(Term, _, N),
sumnodes_body(Pred, Term, A1, A2, 0, N)
; % simple term or variable
A1 = A2
).
sumnodes_body(Pred, Term, A1, A3, N0, Ar) :-
N0 < Ar ->
N is N0+1,
arg(N, Term, Arg),
sumnodes(Pred, Arg, A1, A2),
sumnodes_body(Pred, Term, A2, A3, N, Ar)
;
A1 = A3.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%% preprocessing for meta-calls
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
user:goal_expansion(maplist(Meta, ListIn, ListOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(maplist, 3, Proto, GoalName),
append(MetaVars, [ListIn, ListOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], []], Base),
append_args(HeadPrefix, [[In|Ins], [Out|Outs]], RecursionHead),
append_args(Pred, [In, Out], Apply),
append_args(HeadPrefix, [Ins, Outs], RecursiveCall),
compile_aux([
Base,
(RecursionHead :- Apply, RecursiveCall)
], Module).
user:goal_expansion(checklist(Meta, List), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(checklist, 2, Proto, GoalName),
append(MetaVars, [List], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[]], Base),
append_args(HeadPrefix, [[In|Ins]], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Ins], RecursiveCall),
compile_aux([
Base,
(RecursionHead :- Apply, RecursiveCall)
], Module).
user:goal_expansion(maplist(Meta, List), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(maplist, 2, Proto, GoalName),
append(MetaVars, [List], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[]], Base),
append_args(HeadPrefix, [[In|Ins]], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Ins], RecursiveCall),
compile_aux([
Base,
(RecursionHead :- Apply, RecursiveCall)
], Module).
user:goal_expansion(maplist(Meta, L1, L2, L3), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(maplist, 4, Proto, GoalName),
append(MetaVars, [L1, L2, L3], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], [], []], Base),
append_args(HeadPrefix, [[A1|A1s], [A2|A2s], [A3|A3s]], RecursionHead),
append_args(Pred, [A1, A2, A3], Apply),
append_args(HeadPrefix, [A1s, A2s, A3s], RecursiveCall),
compile_aux([
Base,
(RecursionHead :- Apply, RecursiveCall)
], Module).
user:goal_expansion(maplist(Meta, L1, L2, L3, L4), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(maplist, 5, Proto, GoalName),
append(MetaVars, [L1, L2, L3, L4], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], [], [], []], Base),
append_args(HeadPrefix, [[A1|A1s], [A2|A2s], [A3|A3s], [A4|A4s]], RecursionHead),
append_args(Pred, [A1, A2, A3, A4], Apply),
append_args(HeadPrefix, [A1s, A2s, A3s, A4s], RecursiveCall),
compile_aux([
Base,
(RecursionHead :- Apply, RecursiveCall)
], Module).
user:goal_expansion(selectlist(Meta, ListIn, ListOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(selectlist, 3, Proto, GoalName),
append(MetaVars, [ListIn, ListOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], []], Base),
append_args(HeadPrefix, [[In|Ins], Outs], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Ins, NOuts], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
(Apply -> Outs = [In|NOuts]; Outs = NOuts),
RecursiveCall)
], Module).
% same as selectlist
user:goal_expansion(include(Meta, ListIn, ListOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(include, 3, Proto, GoalName),
append(MetaVars, [ListIn, ListOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], []], Base),
append_args(HeadPrefix, [[In|Ins], Outs], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Ins, NOuts], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
(Apply -> Outs = [In|NOuts]; Outs = NOuts),
RecursiveCall)
], Module).
user:goal_expansion(exclude(Meta, ListIn, ListOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(exclude, 3, Proto, GoalName),
append(MetaVars, [ListIn, ListOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], []], Base),
append_args(HeadPrefix, [[In|Ins], Outs], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Ins, NOuts], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
(Apply -> Outs = [In|NOuts]; Outs = NOuts),
RecursiveCall)
], Module).
user:goal_expansion(partition(Meta, ListIn, List1, List2), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(partition, 4, Proto, GoalName),
append(MetaVars, [ListIn, List1, List2], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], [], []], Base),
append_args(HeadPrefix, [[In|Ins], Outs1, Outs2], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Ins, NOuts1, NOuts2], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
(Apply -> Outs1 = [In|NOuts1], Outs2 = NOuts2; Outs1 = NOuts1, Outs2 = [In|NOuts2]),
RecursiveCall)
], Module).
user:goal_expansion(partition(Meta, ListIn, List1, List2, List3), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(partition2, 5, Proto, GoalName),
append(MetaVars, [ListIn, List1, List2, List3], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], [], [], []], Base),
append_args(HeadPrefix, [[In|Ins], Outs1, Outs2, Outs3], RecursionHead),
append_args(Pred, [In,Diff], Apply),
append_args(HeadPrefix, [Ins, NOuts1, NOuts2, NOuts3], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
Apply,
(Diff == (<) ->
Outs1 = [In|NOuts1],
Outs2 = NOuts2,
Outs3 = NOuts3
;
Diff == (=) ->
Outs1 = NOuts1,
Outs2 = [In|NOuts2],
Outs3 = NOuts3
;
Diff == (>) ->
Outs1 = NOuts1,
Outs2 = NOuts2,
Outs3 = [In|NOuts3]
;
error:must_be(oneof([<,=,>]), Diff)
),
RecursiveCall)
], Module).
user:goal_expansion(convlist(Meta, ListIn, ListOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(convlist, 3, Proto, GoalName),
append(MetaVars, [ListIn, ListOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], []], Base),
append_args(HeadPrefix, [[In|Ins], Outs], RecursionHead),
append_args(Pred, [In, Out], Apply),
append_args(HeadPrefix, [Ins, NOuts], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
(Apply -> Outs = [Out|NOuts]; Outs = NOuts),
RecursiveCall)
], Module).
user:goal_expansion(sumlist(Meta, List, AccIn, AccOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(sumlist, 4, Proto, GoalName),
append(MetaVars, [List, AccIn, AccOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], Acc, Acc], Base),
append_args(HeadPrefix, [[In|Ins], Acc1, Acc2], RecursionHead),
append_args(Pred, [In, Acc1, Acc3], Apply),
append_args(HeadPrefix, [Ins, Acc3, Acc2], RecursiveCall),
compile_aux([
Base,
(RecursionHead :- Apply, RecursiveCall)
], Module).
user:goal_expansion(mapargs(Meta, In, Out), _Module, NewGoal) :-
( var(Out)
->
NewGoal = (
In =.. [F|InArgs],
maplist(Meta, InArgs, OutArgs),
Out =.. [F|OutArgs]
)
;
NewGoal = (
Out =.. [F|OutArgs],
maplist(Meta, InArgs, OutArgs),
In =.. [F|InArgs]
)
).
user:goal_expansion(sumargs(Meta, Term, AccIn, AccOut), _Module, Goal) :-
Goal = (
Term =.. [_|TermArgs],
sumlist(Meta, TermArgs, AccIn, AccOut)
).
user:goal_expansion(mapnodes(Meta, InTerm, OutTerm), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(mapnodes, 3, Proto, GoalName),
append(MetaVars, [[InTerm], [OutTerm]], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], []], Base),
append_args(HeadPrefix, [[In|Ins], [Out|Outs]], RecursionHead),
append_args(Pred, [In, Temp], Apply),
append_args(HeadPrefix, [InArgs, OutArgs], SubRecursiveCall),
append_args(HeadPrefix, [Ins, Outs], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
Apply,
(compound(Temp)
->
Temp =.. [F|InArgs],
SubRecursiveCall,
Out =.. [F|OutArgs]
;
Out = Temp
),
RecursiveCall)
], Module).
user:goal_expansion(checknodes(Meta, Term), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(checknodes, 2, Proto, GoalName),
append(MetaVars, [[Term]], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[]], Base),
append_args(HeadPrefix, [[In|Ins]], RecursionHead),
append_args(Pred, [In], Apply),
append_args(HeadPrefix, [Args], SubRecursiveCall),
append_args(HeadPrefix, [Ins], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
Apply,
(compound(In)
->
In =.. [_|Args],SubRecursiveCall
;
true
),
RecursiveCall)
], Module).
user:goal_expansion(sumnodes(Meta, Term, AccIn, AccOut), Mod, Goal) :-
callable(Meta),
!,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Mod, Module),
% the new goal
pred_name(sumnodes, 4, Proto, GoalName),
append(MetaVars, [[Term], AccIn, AccOut], GoalArgs),
Goal =.. [GoalName|GoalArgs],
% the new predicate declaration
HeadPrefix =.. [GoalName|PredVars],
append_args(HeadPrefix, [[], Acc, Acc], Base),
append_args(HeadPrefix, [[In|Ins], Acc1, Acc2], RecursionHead),
append_args(Pred, [In, Acc1, Acc3], Apply),
append_args(HeadPrefix, [Args, Acc3, Acc4], SubRecursiveCall),
append_args(HeadPrefix, [Ins, Acc4, Acc2], RecursiveCall),
compile_aux([
Base,
(RecursionHead :-
Apply,
(compound(In)
->
In =.. [_|Args],SubRecursiveCall
;
Acc3 = Acc4
),
RecursiveCall)
], Module).
%%%%%%%%%%%%%%%%%%%%
% utilities
%%%%%%%%%%%%%%%%%%%%
compile_aux([Clause|Clauses], Module) :-
% compile the predicat declaration if needed
( Clause = (Head :- _)
; Clause = Head ),
!,
functor(Head, F, N),
( current_predicate(Module:F/N)
->
true
;
% format("*** Creating auxiliary predicate ~q~n", [F/N]),
% checklist(portray_clause, [Clause|Clauses]),
compile_term([Clause|Clauses], Module)
).
compile_term([], _).
compile_term([Clause|Clauses], Module) :-
assert_static(Module:Clause),
compile_term(Clauses, Module).
append_args(Term, Args, NewTerm) :-
Term =.. [Meta|OldArgs],
append(OldArgs, Args, GoalArgs),
NewTerm =.. [Meta|GoalArgs].
aux_preds(Module:Meta, MetaVars, Pred, PredVars, Proto, _, OModule) :- !,
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Module, OModule).
aux_preds(Meta, MetaVars, Pred, PredVars, Proto, Module, Module) :-
Meta =.. [F|Args],
aux_args(Args, MetaVars, PredArgs, PredVars, ProtoArgs),
Pred =.. [F|PredArgs],
Proto =.. [F|ProtoArgs].
aux_args([], [], [], [], []).
aux_args([Arg|Args], [Arg|MVars], [PVar|PArgs], [PVar|PVars], ['_'|ProtoArgs]) :-
var(Arg),
!,
aux_args(Args, MVars, PArgs, PVars, ProtoArgs).
aux_args([Arg|Args], MVars, [Arg|PArgs], PVars, [Arg|ProtoArgs]) :-
aux_args(Args, MVars, PArgs, PVars, ProtoArgs).
pred_name(Macro, Arity, Proto, Name) :-
format_to_chars('\'~a(~d,~w)\'.',[Macro, Arity, Proto], Chars),
read_from_chars(Chars, Name).