1 % (c) 2009-2025 Lehrstuhl fuer Softwaretechnik und Programmiersprachen,
2 % Heinrich Heine Universitaet Duesseldorf
3 % This software is licenced under EPL 1.0 (http://www.eclipse.org/org/documents/epl-v10.html)
4
5 :- module(kernel_objects,[basic_type/2,
6 enumerate_basic_type/2, enumerate_basic_type_wf/3, enumerate_basic_type_wf/4,
7 all_objects_of_type/2,
8 max_cardinality/2,
9 enumerate_type/3, % last argument basic or tight
10 enumerate_type_wf/4,
11 enumerate_type/4, % last argument false/true disables/enables enum warning
12 enumerate_basic_type/3,
13 enumerate_tight_type/2, enumerate_tight_type/3, enumerate_tight_type_wf/4,
14 enumerate_int/3,
15 gen_enum_warning_wf/6,
16 all_strings_wf/2, is_string/2, is_not_string/1,
17
18 top_level_dif/2,
19 equal_object_optimized/2, equal_object_optimized/3, equal_object_optimized_wf/4,
20 equal_object/2, equal_object/3, equal_object_wf/3, equal_object_wf/4,
21 not_equal_object/2, not_equal_object_wf/3,
22 equal_cons/3, equal_cons_wf/4, equal_cons_lwf/5,
23 get_next_element/3,
24 is_marked_to_be_computed/1, mark_as_to_be_computed/1,
25
26 %equality_objects/3,
27 membership_test_wf/4,
28
29 %is_a_set/1,
30 empty_set/1, empty_set_wf/2,
31 not_empty_set/1, not_empty_set_wf/2,
32 exact_element_of/2,
33 check_element_of/2, check_element_of_wf/3,
34 not_element_of/2, not_element_of_wf/3,
35
36 add_element/3, add_element/4, add_element_wf/4, add_element_wf/5,
37 add_new_element_wf/4,
38 delete_element_wf/4,
39 %remove_element/3,
40 remove_element_wf/4,remove_element_wf/5,remove_element_wf_if_not_infinite_or_closure/6,
41 remove_exact_first_element/3,
42 check_no_duplicates_in_list/3,
43
44 partition_wf/3, not_partition_wf/3, test_partition_wf/4,
45 %all_different/2,
46 disjoint_sets/3, not_disjoint_sets/3, test_disjoint_wf/4,
47
48 union/3, union_wf/4, union_generalized/2, union_generalized_wf/3,
49 intersection/3, intersection_generalized_wf/4,
50 difference_set/3, difference_set_wf/4,
51 in_difference_set_wf/4, not_in_difference_set_wf/4,
52 in_union_set_wf/4, not_in_union_set_wf/4,
53 in_intersection_set_wf/4, not_in_intersection_set_wf/4,
54
55 strict_subset_of/2, strict_subset_of_wf/3,
56 check_subset_of/2, check_subset_of_wf/3, check_finite_subset_of_wf/3,
57 check_non_empty_subset_of_wf/3, check_finite_non_empty_subset_of_wf/3,
58 not_subset_of/2, not_subset_of_wf/3, not_both_subset_of/5,
59 not_finite_subset_of_wf/3,
60 not_strict_subset_of/2, not_strict_subset_of_wf/3,
61 not_non_empty_subset_of_wf/3, not_non_empty_finite_subset_of_wf/3,
62 both_global_sets/4,check_subset_of_global_sets/2, check_not_subset_of_global_sets/2,
63
64 first_of_pair/2, second_of_pair/2,
65 minimum_of_set_extension_list/4,
66 maximum_of_set_extension_list/4,
67 minimum_of_set/4, maximum_of_set/4,
68 is_finite_set_wf/2, is_infinite_set_wf/2, test_finite_set_wf/3,
69 %finite_cardinality_as_int/3, % now we use kernel_cardinality_attr
70 cardinality_as_int_for_wf/2,
71 cardinality_as_int_wf/3,
72 cardinality_as_int/2, %cardinality_peano_wf/3,
73 card_convert_int_to_peano/2,
74 same_cardinality_wf/3,
75 % card_geq/2,
76 cardinality_greater/5, cardinality_greater_equal/5,
77 cardinality_of_range/3,
78 cardinality_of_set_extension_list/3,
79
80 cartesian_product_wf/4,
81 is_cartesian_pair_wf/4, not_is_cartesian_pair/4,
82
83 power_set/2, non_empty_power_set/2,
84
85 % is_boolean/1, %is_not_boolean/1,
86 is_integer/2, is_not_integer/1,
87 is_natural/2, is_natural1/2,
88 is_implementable_int/2,is_implementable_nat/2, is_implementable_nat1/2,
89 is_not_natural/1, is_not_natural1/1,
90 is_not_implementable_int/1,is_not_implementable_nat/1, is_not_implementable_nat1/1,
91
92 less_than/2, less_than_equal/2,
93 less_than_direct/2, less_than_equal_direct/2,
94 safe_less_than_equal/2, safe_less_than_equal/3,
95
96 greater_than/2, greater_than_equal/2,
97 int_plus/3,
98 division/5, floored_division/5,
99 modulo/5,
100 int_minus/3, unary_minus_wf/3,
101 % nat_range/3, % removed
102 in_nat_range_wf/4, not_in_nat_range/3, not_in_nat_range_wf/4, test_in_nat_range_wf/5,
103 in_nat_range/3, % version without enumeration
104 times/3, square/3,
105 int_power/5,
106 % pred/2, succ/2, removed
107 integer_global_set/1,
108
109 element_of_global_set/2,element_of_global_set_wf/3,not_element_of_global_set/2,
110
111 exhaustive_kernel_check/1, exhaustive_kernel_check_wf/2, exhaustive_kernel_check_wf/3,
112 exhaustive_kernel_check_wfdet/2, exhaustive_kernel_check_wf_upto/3,
113 exhaustive_kernel_succeed_check/1, exhaustive_kernel_fail_check/1,
114 exhaustive_kernel_fail_check_wf/2, exhaustive_kernel_fail_check_wfdet/2,
115 exhaustive_kernel_fail_check_wf_upto/3,
116 exhaustive_kernel_fail_check_wfinit/2,
117 exhaustive_kernel_check/2, exhaustive_kernel_succeed_check/2, exhaustive_kernel_fail_check/2,
118
119 singleton_set_element/4, singleton_set_element_wd/4,
120 infer_value_type/2,
121 check_values_have_same_type/3,
122 contains_any/1
123 ]).
124
125 :- meta_predicate exhaustive_kernel_check_opt(-,0).
126 :- meta_predicate exhaustive_kernel_fail_check_opt(-,0).
127 :- meta_predicate not_strict_eq_check(-,0).
128
129 %:- use_module('../extensions/profiler/profiler.pl').
130 %:- use_module('../extensions/profiler/profiler_te.pl').
131 %:- enable_profiling(enumerate_basic_type/3).
132 %:- enable_profiling(enumerate_type/3).
133 %:- enable_profiling(enumerate_tight_type/2).
134
135 %:- print(loading_kernel_objects),nl.
136
137 %:- multifile user:portray_message/2.
138 %user:portray_message(informational, _).
139 :- use_module(library(terms)).
140 :- use_module(self_check).
141
142 :- use_module(debug).
143 :- use_module(tools_platform, [platform_is_64_bit/0]).
144 :- use_module(tools_printing).
145 :- use_module(tools).
146
147 :- use_module(module_information,[module_info/2]).
148 :- module_info(group,kernel).
149 :- module_info(description,'This module provides operations for the basic datatypes of ProB (equal, not_equal, enumeration).').
150
151 :- use_module(typechecker).
152 :- use_module(error_manager).
153 :- use_module(b_global_sets). %,[global_type/2, b_global_set_cardinality/2, b_empty_global_set/1]).
154 :- use_module(kernel_waitflags).
155 :- use_module(library(lists)).
156 :- use_module(library(avl),[avl_min/2, avl_max/2]).
157 :- use_module(library(clpfd)).
158 :- use_module(fd_utils_clpfd).
159 :- use_module(kernel_freetypes).
160 :- use_module(kernel_card_arithmetic).
161 :- use_module(custom_explicit_sets).
162 :- use_module(typechecker).
163 %:- use_module(clpfd_off_interface). %
164 % on a 32 bit system: use clpfd_off_interface; on 64 bit system clpfd_interface should be ok (integer overflows)
165 :- use_module(clpfd_interface). %
166 :- use_module(bsyntaxtree, [get_texpr_id/2, get_texpr_pos/2]).
167
168 :- type atomic_type +--> (term(integer,[]) ; term(string,[]) ; constant(list(atomic)) ; abort ; boolean ; global(atomic)).
169 :- type atomic_any_type +--> (type(atomic_type) ; term(any,[]) ).
170 :- type basic_type_descriptor +--> (type(atomic_any_type) ; set(basic_type_descriptor) ;
171 seq(basic_type_descriptor) ;
172 couple(basic_type_descriptor,basic_type_descriptor) ;
173 record(list(type(field_type))) ;
174 freetype(atomic)).
175
176 :- type inferred_basic_type_descriptor +--> (var ; type(atomic_type) ; set(inferred_basic_type_descriptor) ;
177 seq(inferred_basic_type_descriptor) ;
178 couple(inferred_basic_type_descriptor,inferred_basic_type_descriptor)).
179
180 :- type fd_index +--> (integer ; var).
181 :- type fd_set +--> (atomic ; var).
182 :- type fd_term +--> fd(fd_index,fd_set).
183 :- type bsets_integer +--> int((integer ; var)).
184 :- type bsets_string +--> string((atomic ; var)).
185 :- type bsets_bool +--> (pred_false /* bool_false */ ; pred_true /* bool_true */).
186 :- type field_type +--> field(atomic,basic_type_descriptor).
187
188 %:- type bsets_sequence +--> (nil_seq ; cons(type(bsets_object),type(bsets_sequence))).
189 %:- type bsets_set +--> vlist(type(bsets_object)).
190 :- functor([_|_],ListFunctor,_),
191 (type bsets_set +--> (term([],[]) ; var ; term(ListFunctor,[type(bsets_object),type(bsets_set)]) ;
192 avl_set( ground ) ;
193 closure(list(type(variable_id)),
194 list(type(basic_type_descriptor)),type(boolean_expression))
195 ; closure_x(list(type(variable_id)),
196 list(type(basic_type_descriptor)),type(boolean_expression),any))).
197 :- type bsets_couple +--> term(',',[type(bsets_object),type(bsets_object)]).
198 :- type bsets_global +--> global_set((atomic ; var)).
199 :- type bsets_field +--> field(atomic,type(bsets_object)).
200 :- type bsets_record +--> rec((var ; list(bsets_field))).
201 :- type bsets_freetype +--> freeval(atomic,(atomic ; var),type(bsets_object)).
202
203 :- type bsets_object +--> (fd_term ; bsets_integer ; bsets_bool ; term(term,[any]) ; bsets_set ;
204 % abort(any) ; % deprecated
205 bsets_couple ; bsets_string ; bsets_global ; var;
206 bsets_record ; bsets_freetype).
207
208
209 :- assert_must_succeed(kernel_waitflags:set_silent(true)). % disable waitflag store not init msgs
210
211
212
213
214 % a predicate to exhaustively check a kernel predicate with all possible modes
215
216 :- use_module(tools_timeout,[time_out_call/1]).
217 exhaustive_kernel_check_opt(C,Cond) :- (Cond -> exhaustive_kernel_check(C) ; true).
218 exhaustive_kernel_check(C) :- exhaustive_kernel_check4([],C,true,true).
219 exhaustive_kernel_check(Opts,C) :- exhaustive_kernel_check4(Opts,C,true,true).
220 exhaustive_kernel_check_wf(C,WF) :- exhaustive_kernel_check_wf([],C,WF).
221 exhaustive_kernel_check_wf(Opts,C,WF) :-
222 exhaustive_kernel_check4(Opts,C,kernel_waitflags:init_wait_flags(WF),
223 kernel_waitflags:ground_wait_flags(WF)).
224 exhaustive_kernel_check_wfdet(C,WF) :-
225 exhaustive_kernel_check4([],C,kernel_waitflags:init_wait_flags(WF),
226 kernel_waitflags:ground_det_wait_flag(WF)).
227 exhaustive_kernel_check_wf_upto(C,WF,Limit) :-
228 exhaustive_kernel_check4([],C,kernel_waitflags:init_wait_flags(WF),
229 (kernel_waitflags:ground_wait_flag_to(WF,Limit),
230 kernel_waitflags:portray_waitflags(WF))).
231
232 exhaustive_kernel_check4(Opts,Call,Pre,Post) :- enumerate_kernel_call(Call,Opts,ECall,Code),
233 debug_println(9,exhaustive_kernel_check(ECall,Code)),
234 flatten_call((Pre,ECall,Code,Post),FullCall),
235 must_succeed_without_residue_and_time_out(FullCall), debug_println(9,ok),
236 fail.
237 exhaustive_kernel_check4(_,_,_,_).
238
239 flatten_call((A,B),Res) :- !,flatten_call(A,FA), flatten_call(B,FB), conjoin_call(FA,FB,Res).
240 flatten_call(Module:Call,Res) :- !, flatten_call(Call,F), Res=Module:F.
241 flatten_call(X,X).
242
243 conjoin_call(true,X,R) :- !,R=X.
244 conjoin_call(X,true,R) :- !, R=X.
245 conjoin_call(X,Y,(X,Y)).
246
247 exhaustive_kernel_succeed_check(C) :- exhaustive_kernel_succeed_check([],C).
248 exhaustive_kernel_succeed_check(Opts,Call) :- enumerate_kernel_call(Call,Opts,ECall,Code),
249 debug_println(9,exhaustive_kernel_succeed_check(ECall,Code)),
250 flatten_call((ECall,Code),FullCall),
251 time_out_call(must_succeed(FullCall)),debug_println(9,ok),
252 fail.
253 exhaustive_kernel_succeed_check(_,_).
254
255 exhaustive_kernel_fail_check_opt(C,Cond) :- (Cond -> exhaustive_kernel_fail_check(C) ; true).
256 exhaustive_kernel_fail_check(C) :- exhaustive_kernel_fail_check4([],C,true,true).
257 exhaustive_kernel_fail_check(Opts,C) :- exhaustive_kernel_fail_check4(Opts,C,true,true).
258 exhaustive_kernel_fail_check_wf(C,WF) :-
259 exhaustive_kernel_fail_check4([],C,kernel_waitflags:init_wait_flags(WF),
260 kernel_waitflags:ground_wait_flags(WF)).
261 exhaustive_kernel_fail_check_wfdet(C,WF) :-
262 exhaustive_kernel_fail_check4([],C,kernel_waitflags:init_wait_flags(WF),
263 kernel_waitflags:ground_det_wait_flag(WF)).
264 exhaustive_kernel_fail_check_wf_upto(C,WF,Limit) :-
265 exhaustive_kernel_fail_check4([],C,kernel_waitflags:init_wait_flags(WF),
266 kernel_waitflags:ground_wait_flag_to(WF,Limit)).
267 exhaustive_kernel_fail_check_wfinit(C,WF) :-
268 exhaustive_kernel_fail_check4([],C,kernel_waitflags:init_wait_flags(WF), true).
269
270 exhaustive_kernel_fail_check4(Opts,Call,Pre,Post) :- enumerate_kernel_call(Call,Opts,ECall,Code),
271 debug_println(9,exhaustive_kernel_fail_check(ECall,Code)),
272 flatten_call((Pre,ECall,Code,Post),FullCall),
273 time_out_call(must_fail(FullCall)),debug_println(9,ok),
274 fail.
275 exhaustive_kernel_fail_check4(_,_,_,_).
276
277 % enumerate_kernel_call(Call, OptionList, NewCall, CodeAfter)
278 enumerate_kernel_call((A,B),Opts,(EA,EB),(CA,CB)) :- !,
279 enumerate_kernel_call(A,Opts,EA,CA), enumerate_kernel_call(B,Opts,EB,CB).
280 enumerate_kernel_call(Module:Call,Opts,Module:ECall,Code) :- !, enumerate_kernel_call(Call,Opts,ECall,Code).
281 enumerate_kernel_call(Call,Opts,ECall,Code) :- Call=..[KernelPred|CArgs],
282 (member(commutative,Opts)
283 -> (Args=CArgs ; CArgs=[A1,A2|T], Args=[A2,A1|T])
284 ; Args=CArgs
285 ),
286 l_enumerate_kernel_args(Args,EArgs,Code,KernelPred,1), ECall=..[KernelPred|EArgs].
287 l_enumerate_kernel_args([],[],true,_,_).
288 l_enumerate_kernel_args([H|T],[EH|ET],Code,KernelPred,Nr) :-
289 enumerate_kernel_args(H,EH,C1,KernelPred/Nr),
290 N1 is Nr+1,
291 l_enumerate_kernel_args(T,ET,C2,KernelPred,N1),
292 permute_code((C1,C2),Code).
293
294 permute_code((true,C),R) :- !,R=C.
295 permute_code((C,true),R) :- !, R=C.
296 permute_code((C1,C2),(C1,C2)).
297 permute_code((C1,C2),(C2,C1)).
298
299 enumerate_kernel_args(Var,Res,Code,_) :- var(Var),!, Res=Var, Code=true.
300 enumerate_kernel_args(X,Res,Code,KP_Nr) :- do_not_delay(X,KP_Nr),!, Res=X, Code=true.
301 enumerate_kernel_args(Arg,Arg,true,_). % just keep the argument
302 enumerate_kernel_args(Args,NewArg,Code,KP_Nr) :- arg_is_list(KP_Nr),!,
303 % we have a list of B expressions (e.g., in partition_wf)
304 (Code = '='(NewArg,Args) ; l_enumerate_kernel_args(Args,NewArg,Code,arg_is_list,1)).
305 enumerate_kernel_args(Arg,NewArg,Code,_) :- % delay the argument fully
306 (term_is_of_type(Arg,bsets_object,no)
307 -> Code = equal_object(NewArg,Arg,enumerate_kernel_args)
308 ; Code = '='(NewArg,Arg)).
309 enumerate_kernel_args(int(X),int(XX),Code,_) :- nonvar(X), Code = '='(X,XX). % delay setting number content
310 enumerate_kernel_args(string(X),string(XX),Code,_) :- nonvar(X), Code = '='(X,XX). % delay setting string content
311 enumerate_kernel_args(term(floating(X)),term(floating(XX)),Code,_) :- nonvar(X), Code = '='(X,XX). % delay setting real number content
312 enumerate_kernel_args((A,B),(AA,BB),(CodeA,CodeB),KP_Nr) :-
313 enumerate_kernel_args(A,AA,CodeA,KP_Nr),enumerate_kernel_args(B,BB,CodeB,KP_Nr),
314 (AA,BB) \== (A,B). % avoid re-generating case 3 above (just keep argument)
315 enumerate_kernel_args(freeval(ID,Case,A),freeval(ID,Case,AA),CodeA,KP_Nr) :-
316 enumerate_kernel_args(A,AA,CodeA,KP_Nr),
317 AA \== A. % avoid re-generating case 3 above (just keep argument)
318 enumerate_kernel_args([H|T],[H|NewT],Code,_) :- Code = equal_object(NewT,T). % delay tail
319 enumerate_kernel_args([H|T],[(int(NewI),H2)|T],Code,_) :- nonvar(H), % make index (e.g. of sequence) nonvar first
320 H = (II,H2), ground(II), II=int(I), \+ member((int(I),_),T), % the element is unique in domain
321 Code = '='(NewI,I).
322 enumerate_kernel_args([H|T],[(H1,NewH2)|T],Code,_) :- nonvar(H),
323 H = (H1,H2), ground(H2), \+ member((_,H2),T), % the element is unique in ragne
324 Code = equal_object(NewH2,H2).
325 enumerate_kernel_args([H|T],Res,Code,KP_Nr) :-
326 try_expand_and_convert_to_avl([H|T],AVL),
327 AVL \= [H|T], enumerate_kernel_args(AVL,Res,Code,KP_Nr).
328 enumerate_kernel_args([H|T],Res,Code,KP_Nr) :- ground([H|T]),generate_member_closure([H|T],Closure),
329 enumerate_kernel_args(Closure,Res,Code,KP_Nr).
330
331 % check if an argument is a list not a set.
332 arg_is_list(KernelPred/Nr) :- argument_is_list_not_set(KernelPred,Nr).
333 %arg_is_not_list(KernelPred/Nr) :- \+ argument_is_list_not_set(KernelPred,Nr).
334 argument_is_list_not_set(partition_wf,2).
335 argument_is_list_not_set(not_partition_wf,2).
336 argument_is_list_not_set(test_partition_wf,2).
337 argument_is_list_not_set(disjoint_union_generalized_wf,1).
338
339 do_not_delay(b(_,_,_),_). % do not delay instantiation B predicates and expressions
340 do_not_delay(global_set(G),KP/ArgNr) :- custom_explicit_sets:is_infinite_global_set(G,_),
341 do_not_delay_arg(KP,ArgNr).
342 do_not_delay(no_wf_available,_). % do not delay waitflag store arguments
343 do_not_delay(wfx(_,_,_,_),_). % ditto
344 % these arguments cause difficulty if infinite sets are delayed (i.e., instantiated later)
345 do_not_delay_arg(partial_function_wf,2).
346 do_not_delay_arg(partial_function_wf,3).
347 do_not_delay_arg(subset_test,2).
348 do_not_delay_arg(subset_strict_test,2).
349
350 generate_member_closure(ExplicitSet,closure(['_zzzz_unit_tests'],[Type],Pred)) :-
351 infer_type(ExplicitSet,set(Type)),
352 Pred =
353 b(member(b(identifier('_zzzz_unit_tests'),Type,[generated]),
354 b(value(ExplicitSet),set(Type),[])),pred,[]).
355
356 infer_type(Value,Type) :- (infer_value_type(Value,Type)
357 -> true %,print(inferred(Type,Value)),nl
358 ; print('### Could not infer type: '), print(Value),nl,fail).
359
360 :- use_module(btypechecker,[couplise_list/2]).
361 infer_value_type(Var,Type) :- var(Var),!,Type=any.
362 infer_value_type([],set(any)).
363 infer_value_type([H|T],set(ResType)) :- infer_value_type(H,Type),
364 ((contains_any(Type),T=[H2|_], % try H2; maybe we can infer a better type here
365 infer_value_type(H2,Type2), \+ contains_any(Type2))
366 -> ResType = Type2
367 ; ResType = Type).
368 infer_value_type(avl_set(node(H,_True,_,_,_)),set(Type)) :- infer_value_type(H,Type).
369 infer_value_type(int(_),integer).
370 infer_value_type(string(_),string).
371 infer_value_type((A,B),couple(TA,TB)) :- infer_value_type(A,TA), infer_value_type(B,TB).
372 infer_value_type(fd(_,T),global(T)).
373 infer_value_type(pred_true /* bool_true */,boolean).
374 infer_value_type(pred_false /* bool_false */,boolean).
375 infer_value_type(rec(Fields),record(FieldTypes)) :- infer_field_types(Fields,FieldTypes).
376 infer_value_type(freeval(Id,_Case,_Val),freetype(Id)).
377 infer_value_type(closure(_,Types,_),set(Res)) :- couplise_list(Types,Res).
378 infer_value_type(global_set('STRING'),R) :- !, R=set(string). % what if Event-B/TLA have a deferred set of that name
379 infer_value_type(global_set('FLOAT'),R) :- !, R=set(real).
380 infer_value_type(global_set('REAL'),R) :- !, R=set(real).
381 infer_value_type(global_set(X),R) :- b_integer_set(X),!,R=set(integer).
382 ?infer_value_type(global_set(Name),set(global(Name))) :- b_global_set(Name).
383 infer_value_type(term(floating(_)),real). % see kernel_reals:is_real(.)
384
385 infer_field_types([],[]).
386 infer_field_types([field(Name1,Val)|T],[field(Name1,VT)|TT]) :-
387 infer_value_type(Val,VT),
388 infer_field_types(T,TT).
389
390 contains_any(any).
391 contains_any(couple(A,B)) :- (contains_any(A) -> true ; contains_any(B)).
392 contains_any(set(A)) :- contains_any(A).
393 % to do: fields
394
395 :- assert_pre(kernel_objects:basic_type(Obj,Type), (type_check(Obj,bsets_object),type_check(Type,basic_type_descriptor))).
396 :- assert_post(kernel_objects:basic_type(Obj,_), type_check(Obj,bsets_object)).
397
398 %:- block basic_type(-,-).
399
400 basic_type(FD,global(T)) :- !, global_type(FD,T). % will set up CLP(FD) domain for X
401 % TO DO: Also: what about global(T) inside other structures (pairs) ?
402 basic_type(Rec,record(FieldTypes)) :- !, Rec=rec(Fields),
403 ? basic_field_types(Fields,FieldTypes).
404 %basic_type(Set,set(Type)) :- !, basic_type_set(Type,Set,inf).
405 basic_type(_X,_TY). %basic_type2(TY,X) %basic_symbreak(TY,X)
406 %print(ignore_basic_type(X,Y)),nl %, basic_type2(TY,X) %%STILL REQUIRED ?????
407
408 basic_field_types([],[]).
409 basic_field_types([field(Name1,Val)|T],[field(Name2,VT)|TT]) :-
410 check_field_name_compatibility(Name1,Name2,basic_field_types2),
411 ? basic_type(Val,VT),basic_field_types(T,TT).
412
413
414
415 /* ------------------------- */
416 /* enumerate_basic_type/2 */
417 /* ------------------------- */
418 /* a version of basic_type that enumerates */
419
420 :- assert_must_succeed(enumerate_basic_type([],set(couple(integer,integer)) )).
421 :- assert_must_succeed(enumerate_basic_type([([],int(2)), ([int(3)],int(4))],
422 set(couple(set(integer),integer)) )).
423 :- assert_must_succeed(enumerate_basic_type([(int(1),int(2)),(int(3),int(4))],
424 set(couple(integer,integer)) )).
425 :- assert_must_succeed(enumerate_basic_type([(int(1),int(2)),(int(3),int(4))],
426 seq(integer) )).
427 :- assert_must_succeed(enumerate_basic_type([(int(1),int(2)),(int(3),int(4))],
428 seq(integer) )).
429 :- assert_must_succeed((enumerate_basic_type(X,global('Name')),
430 equal_object(X,fd(1,'Name')) )).
431 :- assert_must_succeed((enumerate_basic_type(X,global('Name')),
432 equal_object(X,fd(2,'Name')) )).
433 :- assert_must_succeed((enumerate_basic_type(X,global('Name')),
434 X==fd(2,'Name')) ).
435 :- assert_must_succeed((enumerate_basic_type(X,record([field(a,global('Name'))])),
436 equal_object(X,rec([field(a,fd(1,'Name'))])) )).
437 :- assert_must_succeed((enumerate_basic_type(X,record([field(a,integer),field(b,global('Name'))])),
438 equal_object(X,rec([field(a,int(1)),field(b,fd(1,'Name'))])) )).
439 :- assert_must_succeed((kernel_freetypes:add_freetype(selfc1,[case(a,constant([a])),case(b,integer)]),
440 kernel_freetypes:set_freetype_depth(2),
441 enumerate_basic_type(X,freetype(selfc1)),equal_object(X,freeval(selfc1,a,term(a))),
442 kernel_freetypes:reset_freetypes)).
443 :- assert_must_succeed((kernel_freetypes:add_freetype(selfc5,[case(a,constant([a])),case(b,integer)]),
444 kernel_freetypes:set_freetype_depth(2),
445 enumerate_basic_type(X,freetype(selfc5)),equal_object(X,freeval(selfc5,b,int(1))),
446 kernel_freetypes:reset_freetypes)).
447 :- assert_must_succeed((kernel_freetypes:add_freetype(selfc7,[case(nil,constant([nil])),case(node,couple(freetype(selfc7),freetype(selfc7)))]),
448 kernel_freetypes:set_freetype_depth(3),
449 findall(X,enumerate_basic_type(X,freetype(selfc7)),Solutions),
450 length(Solutions,5),
451 kernel_freetypes:reset_freetypes)).
452 :- assert_must_succeed((kernel_freetypes:add_freetype(selfc2,[case(a,constant([a])),case(b,freetype(selfc3))]),
453 kernel_freetypes:add_freetype(selfc3,[case(c,constant([c])),case(d,freetype(selfc2))]),
454 kernel_freetypes:set_freetype_depth(4),
455 enumerate_basic_type(X,freetype(selfc2)),
456 equal_object(X,freeval(selfc2,b,freeval(selfc3,d,freeval(selfc2,b,freeval(selfc3,c,term(c)))))),
457 kernel_freetypes:reset_freetypes)).
458 :- assert_must_succeed((enumerate_basic_type(X,set(couple(global('Name'),global('Code'))) ),
459 equal_object(X,[(fd(1,'Name'),fd(1,'Code'))])) ).
460 :- assert_must_succeed((enumerate_basic_type(X,set(couple(global('Name'),global('Code'))) ),
461 equal_object(X,[(fd(2,'Name'),fd(1,'Code')), (fd(1,'Name'),fd(2,'Code'))])) ).
462 :- assert_must_succeed((enumerate_basic_type(X,set(couple(global('Name'),global('Code'))) ),
463 equal_object(X,[(fd(1,'Name'),fd(2,'Code')), (fd(2,'Name'),fd(1,'Code'))])) ).
464 :- assert_must_succeed_any((enumerate_basic_type(X,set(couple(global('Name'),global('Code'))) ),
465 equal_object(X,[(fd(1,'Name'),fd(2,'Code')), (fd(2,'Name'),fd(1,'Code'))])) ).
466 :- assert_must_succeed(enumerate_basic_type([(int(2),(int(1),int(2))),
467 (int(1),(int(3),int(4)))],
468 set(couple(integer,couple(integer,integer))) )).
469 :- assert_must_succeed(enumerate_basic_type([(int(2),(int(1),int(2))),
470 (int(55),(int(3),int(4)))],
471 set(couple(integer,couple(integer,integer))) )).
472 :- assert_must_succeed(enumerate_basic_type([term('err')],set(constant([err])))).
473 :- assert_must_succeed(enumerate_basic_type([(int(1),int(2)),(int(3),int(4))],
474 set(couple(integer,integer)))).
475
476 :- assert_must_succeed_multiple(enumerate_basic_type([(int(2),fd(_A,'Name')),(int(3),fd(_B,'Name')),
477 (int(4),fd(_C,'Name')),(int(5),fd(_D,'Name')),(int(6),fd(_E,'Name')),(int(7),fd(_F,'Name')),
478 (int(8),fd(_G,'Name')),(int(9),fd(_H,'Name')),(int(10),fd(_I,'Name')),
479 (int(11),fd(_,'Name')),(int(12),fd(_,'Name')),(int(13),fd(_,'Name')),
480 (int(14),fd(_,'Name'))],set(couple(integer,global('Name'))))).
481
482 :- assert_must_fail(( findall(XX,enumerate_basic_type(XX, set(set(global('Code')))) ,S), member(X,S), remove(S,X,R), member(X2,R), equal_object(X,X2) )).
483
484 :- assert_must_succeed(( enumerate_basic_type(global_set('Code'),
485 set(global('Code'))) )).
486
487 :- assert_must_succeed(exhaustive_kernel_succeed_check(enumerate_basic_type([(fd(1,'Name'),fd(2,'Code')), (fd(2,'Name'),fd(1,'Code'))],set(couple(global('Name'),global('Code')))))).
488 :- assert_must_succeed(exhaustive_kernel_succeed_check(enumerate_basic_type([(fd(1,'Name'),pred_true), (fd(2,'Name'),pred_false), (fd(2,'Name'),pred_true)],set(couple(global('Name'),boolean))))).
489 :- assert_must_succeed(exhaustive_kernel_succeed_check(enumerate_basic_type([pred_true,pred_false],set(boolean)))).
490 :- assert_must_succeed(exhaustive_kernel_succeed_check(enumerate_basic_type([[],[pred_true,pred_false]],set(set(boolean))))).
491
492 :- assert_pre(kernel_objects:enumerate_basic_type(Obj,Type),
493 (type_check(Obj,bsets_object),type_check(Type,basic_type_descriptor))).
494 :- assert_post(kernel_objects:enumerate_basic_type(Obj,_), (type_check(Obj,bsets_object),ground_check(Obj))).
495
496 enumerate_basic_type_wf(Obj,Type,WF) :-
497 ? enumerate_basic_type_wf(Obj,Type,enumerate_basic_type,WF).
498 :- block enumerate_basic_type_wf(?,-,?,?).
499 enumerate_basic_type_wf(Obj,Type,EnumWarning,WF) :-
500 ? enumerate_basic_type4(Type,Obj,basic,trigger_true(EnumWarning),WF). % add WF context info
501
502 :- block enumerate_basic_type(?,-).
503 enumerate_basic_type(Obj,Type) :-
504 %enumerate_basic_type2(Obj,Type).
505 enumerate_basic_type4(Type,Obj,basic,trigger_true(enumerate_basic_type),no_wf_available).
506 %(ground(Obj) -> true ; enumerate_basic_type3(Type,Obj,basic)).
507
508 :- block enumerate_basic_type(?,-,-).
509 enumerate_basic_type(Obj,Type,EnumWarning) :-
510 ? enumerate_basic_type4(Type,Obj,basic,EnumWarning,no_wf_available).
511
512
513 :- block enumerate_type(?,-,?). % last argument: basic or tight
514 enumerate_type(Obj,Type,Tight) :-
515 %enumerate_basic_type2(Obj,Type).
516 enumerate_basic_type4(Type,Obj,Tight,trigger_true(enumerate_type_3),no_wf_available).
517
518 :- block enumerate_type(?,-,?,?), enumerate_type(?,?,?,-).
519 enumerate_type(Obj,Type,Tight,EnumWarning) :-
520 enumerate_basic_type4(Type,Obj,Tight,EnumWarning,no_wf_available).
521
522 enumerate_type_wf(Obj,Type,Tight,WF) :-
523 ? enumerate_type_wf(Obj,Type,Tight,trigger_true(enumerate_type_wf),WF).
524
525 :- block enumerate_type_wf(?,-,?,?,?), enumerate_type_wf(?,?,?,-,?).
526 enumerate_type_wf(Obj,Type,Tight,EnumWarning,WF) :-
527 ? enumerate_basic_type4(Type,Obj,Tight,EnumWarning,WF).
528
529 %enumerate_basic_type2(X,Type) :-
530 % (ground(X) -> (basic_type(X,Type) -> true
531 % ; add_internal_error('Type error: ',enumerate_basic_type2(X,Type)))
532 % ; enumerate_basic_type3(Type,X)).
533
534
535 :- use_module(kernel_reals,[enumerate_real_wf/3]).
536
537 enumerate_basic_type4(global(T),R,_Tight,EnumWarning,WF) :-
538 ? enumerate_global_type_with_enum_warning(R,T,EnumWarning,WF).
539 enumerate_basic_type4(set(X),Set,Tight,EnumWarning,WF) :-
540 ? enumerate_basic_type_set(Set,X,Tight,EnumWarning,WF).
541 enumerate_basic_type4(seq(SeqRanType),Seq,Tight,EnumWarning,WF) :-
542 ? (Tight = tight -> enumerate_seq_type_wf(Seq,SeqRanType,EnumWarning,WF) % might trigger warning. push flag.
543 ; enumerate_basic_type4(set(couple(integer,SeqRanType)),Seq,basic,EnumWarning,WF)).
544 enumerate_basic_type4(couple(XT,YT),(X,Y),Tight,EnumWarning,WF) :-
545 ? enumerate_type_wf(X,XT,Tight,EnumWarning,WF),
546 ? enumerate_type_wf(Y,YT,Tight,EnumWarning,WF).
547 ?enumerate_basic_type4(boolean,B,_Tight,_EnumWarning,_WF) :- enumerate_bool(B).
548 ?enumerate_basic_type4(real,R,_Tight,EnumWarning,WF) :- enumerate_real_wf(R,EnumWarning,WF).
549 ?enumerate_basic_type4(string,string(S),_Tight,EnumWarning,WF) :- enumerate_string_wf(S,EnumWarning,WF).
550 enumerate_basic_type4(constant([V]),term(V),_Tight,_EnumWarning,_WF).
551 enumerate_basic_type4(record(FT),rec(F),Tight,EnumWarning,WF) :-
552 ? enumerate_basic_field_types(F,FT,Tight,EnumWarning,WF).
553 enumerate_basic_type4(freetype(Id),freeval(Id2,C,Value),Tight,EnumWarning,WF) :-
554 (Id=Id2 -> true
555 ; add_internal_error('Freetypes do not match:',enumerate_basic_type4(freetype(Id),freeval(Id2,C,Value),Tight,_,_))),
556 (ground_value(freeval(Id2,C,Value)) -> true
557 ; (is_recursive_freetype(Id),
558 max_freetype_enum_depth(Depth)
559 -> gen_enum_warning_wf(Id,0:inf,0:Depth,EnumWarning,unknown,WF)
560 ; true),
561 ? enumerate_freetype_wf(Tight,freeval(Id,C,Value),freetype(Id),WF)
562 ).
563 enumerate_basic_type4(freetype_lim_depth(Id,Depth),freeval(Id2,C,Value),Tight,_EnumWarning,WF) :-
564 (Id=Id2 -> true
565 ; add_internal_error('Freetypes do not match:',enumerate_basic_type4(freetype_lim_depth(Id,Depth),freeval(Id2,C,Value),Tight,_,_))),
566 % freetype_lim_depth is created artificially by enumerate_freetype
567 ? enumerate_freetype_wf(Tight,freeval(Id,C,Value),freetype_lim_depth(Id,Depth),WF).
568 enumerate_basic_type4(integer,int(N),Tight,EnumWarning,WF) :-
569 ? (nonvar(N)
570 -> (integer(N) -> true
571 ; add_internal_error('Illegal value:',enumerate_basic_type4(integer,int(N),Tight,EnumWarning,WF))
572 )
573 ? ; enumerate_int_with_span(N,EnumWarning,unknown,WF)).
574 enumerate_basic_type4(abort,V,Tight,EnumWarning,WF) :-
575 add_internal_error(deprecated_abort_type,enumerate_basic_type4(abort,V,Tight,EnumWarning,WF)).
576 enumerate_basic_type4(constant,V,Tight,EnumWarning,WF) :-
577 add_internal_error(deprecated_abort_type,enumerate_basic_type4(constant,V,Tight,EnumWarning,WF)).
578 enumerate_basic_type4(any,Obj,_Tight,EnumWarning,WF) :- enumerate_any_wf(Obj,EnumWarning,WF).
579
580 :- use_module(library(random),[random/3]).
581 enumerate_bool(X) :- preferences:preference(randomise_enumeration_order,true),
582 random(1,3,1),!,
583 (X=pred_false ; X=pred_true).
584 enumerate_bool(pred_true). /* was bool_true */
585 enumerate_bool(pred_false).
586
587 max_cardinality_string(inf). % was 2
588 all_strings_wf(AS,WF) :- findall(string(S),enumerate_string_wf(S,trigger_throw(all_strings),WF),AS).
589 :- use_module(btypechecker,[machine_string/1]).
590 enumerate_string_wf(S,_EnumWarning,_WF) :- atomic(S),!.
591 enumerate_string_wf(S,EnumWarning,WF) :- %print('### WARNING, Enumerating STRING'),nl,
592 % frozen(S,Goal), print(enum(S,Goal)),nl,
593 % MAYBE TO DO: we could check if prolog:dif(S,'"STR1"') are in frozen Goal and then enumerate more?
594 % if we do this we need to adapt dont_expand(global('STRING')) :- ... further below
595 gen_enum_warning_wf('STRING',inf,'"STRING1","STRING2",...',EnumWarning,unknown,WF),
596 (S = 'STRING1', \+ machine_string(S) % used to be '"STR1"'
597 ; S = 'STRING2', \+ machine_string(S) % used to be '"STR2"'
598 ? ; machine_string(S)).
599
600 is_string(string(_),_WF).
601 is_not_string(X) :- top_level_dif(X,string).
602
603
604
605 :- block enumerate_any_wf(-,?,?).
606 enumerate_any_wf(fd(X,T),EnumWarning,WF) :- !,
607 when(nonvar(T),enumerate_global_type_with_enum_warning(fd(X,T),T,EnumWarning,WF)).
608 enumerate_any_wf(int(N),EnumWarning,WF) :- !,enumerate_basic_type4(integer,int(N),basic,EnumWarning,WF).
609 enumerate_any_wf(term(X),EnumWarning,WF) :- !,
610 (nonvar(X), X = floating(R) -> enumerate_real_wf(R,EnumWarning,WF)
611 ; print_message(could_not_enumerate_term(X))).
612 enumerate_any_wf(string(S),EnumWarning,WF) :- !, enumerate_string_wf(S,EnumWarning,WF).
613 enumerate_any_wf(pred_true /* bool_true */,_EnumWarning,_WF) :- !.
614 enumerate_any_wf(pred_false /* bool_false */,_EnumWarning,_WF) :- !.
615 enumerate_any_wf([],_EnumWarning,_WF) :- !.
616 enumerate_any_wf([H|T],EnumWarning,WF) :- !, enumerate_any_wf(H,EnumWarning,WF), enumerate_any_wf(T,EnumWarning,WF).
617 enumerate_any_wf(avl_set(_),_EnumWarning,_WF) :- !.
618 enumerate_any_wf(global_set(_),_EnumWarning,_WF) :- !.
619 enumerate_any_wf((H,T),EnumWarning,WF) :- !, enumerate_any_wf(H,EnumWarning,WF), enumerate_any_wf(T,EnumWarning,WF).
620 enumerate_any_wf(rec(Fields),EnumWarning,WF) :- !, enumerate_any_wf(Fields,EnumWarning,WF).
621 enumerate_any_wf(field(_,V),EnumWarning,WF) :- !, enumerate_any_wf(V,EnumWarning,WF).
622 % we could support: closure values...
623 enumerate_any_wf(T,_EnumWarning,_WF) :- add_message(enumerate_any_wf,'Could_not_enumerate value: ',T).
624
625
626 :- use_module(preferences,[preference/2]).
627
628 % enumerate an INTEGER variable
629 enumerate_int_with_span(N,EnumWarning,Span,WF) :-
630 clpfd_domain(N,FDLow,FDUp), % print(enum(N,FDLow,FDUp)),nl,
631 (finite_domain(FDLow,FDUp)
632 ? -> label(N,FDLow,FDUp)
633 ? ; enum_unbounded(FDLow,FDUp,N,EnumWarning,Span,WF)
634 ).
635 label(N,FDLow,FDUp) :-
636 gen_enum_warning_if_large(N,FDLow,FDUp),
637 ? clpfd_interface:clpfd_in_domain(N).
638
639 % when in CLP(FD) mode; try and do a case-split and see if that narrows down the possible ranges
640 enum_unbounded(X,Y,N,EnumWarning,Span,WF) :- preferences:preference(use_clpfd_solver,true),!,
641 ? enum_unbounded_clp(X,Y,N,EnumWarning,Span,WF).
642 enum_unbounded(X,Y,N,EnumWarning,Span,WF) :- %frozen(N,G), print(frozen(N,G,X,Y,EnumWarning)),nl,
643 clpfd_off_domain(N,X,Y,NX,NY),
644 ? (finite_domain(NX,NY) -> enumerate_int1(N,NX,NY)
645 ; enum_unbounded_clpfd_off(NX,NY,N,EnumWarning,Span,WF)).
646
647 enum_unbounded_clpfd_off(_FDLow,_FDUp,N,_EnumWarning,_,_WF) :- is_wd_guarded_result_variable(N),!.
648 enum_unbounded_clpfd_off(FDLow,FDUp,N,EnumWarning,Span,WF) :-
649 make_domain_finite(FDLow,FDUp,Min,Max),
650 gen_enum_warning_wf('INTEGER',FDLow:FDUp,Min:Max,EnumWarning,Span,WF),
651 enumerate_int1(N,Min,Max). % will also do a case split, but without posting constraints
652
653 % try to determine integer variable bounds from pending co-routines for CLPFD off mode
654 clpfd_off_domain(Var,Low,Up,NewLow,NewUp) :-
655 frozen(Var,Goal), narrow_down_interval(Goal,Var,Low,Up,NewLow,NewUp).
656 % ((Lowx,Up)==(NewLow,NewUp) -> true ; print(narrowed_down(Var,Low,Up,NewLow,NewUp)),nl).
657 narrow_down_interval((A,B),Var,Low,Up,NewLow,NewUp) :- !,
658 narrow_down_interval(A,Var,Low,Up,Low1,Up1),
659 narrow_down_interval(B,Var,Low1,Up1,NewLow,NewUp).
660 narrow_down_interval(kernel_objects:safe_less_than_equal(_,V1,V2),Var,Low,Up,NewLow,NewUp) :- !,
661 (V1==Var,number(V2) -> NewLow=Low,fd_min(Up,V2,NewUp)
662 ; V2==Var,number(V1) -> fd_max(Low,V1,NewLow),NewUp=Up
663 ; NewLow=Low,NewUp=Up).
664 narrow_down_interval(kernel_objects:safe_less_than(V1,V2),Var,Low,Up,NewLow,NewUp) :- !,
665 (V1==Var,number(V2) -> NewLow=Low,V2m1 is V2-1, fd_min(Up,V2m1,NewUp)
666 ; V2==Var,number(V1) -> V1p1 is V1+1, fd_max(Low,V1p1,NewLow),NewUp=Up
667 ; NewLow=Low,NewUp=Up).
668 narrow_down_interval(_,_,L,U,L,U).
669
670 % check if this variable is marked as being assigned to by currently not-well-defined construct such as min,max,...:
671 is_wd_guarded_result_variable(N) :- % write('-WDG-'),
672 frozen(N,FrozenGoal), % TO DO: use attribute rather than frozen
673 ? is_wd_guarded_result_variable_aux(FrozenGoal,N).
674 is_wd_guarded_result_variable_aux(kernel_waitflags:is_wd_guarded_result(V),N) :- !, N==V.
675 is_wd_guarded_result_variable_aux((A,B),N) :-
676 ? is_wd_guarded_result_variable_aux(A,N) ; is_wd_guarded_result_variable_aux(B,N).
677
678 % enumerate unbounded integer variable N in a CLP(FD) fashion:
679 enum_unbounded_clp(0,Y,N,EnumWarning,Span,WF) :- (Y=sup ; Y>0),
680 % we span 0 and positive numbers
681 !,
682 (N=0
683 % for division/modulo... 0 is often a special case
684 ; try_post_constraint(N #>0),
685 ? force_enumerate_int_wo_case_split(N,'INTEGER',EnumWarning,Span,WF)
686 ).
687 enum_unbounded_clp(X,Y,N,EnumWarning,Span,WF) :-
688 (is_inf_or_overflow_card(X) -> true ; X<0), (Y=sup ; Y>0),
689 % we span both negative and positive numbers
690 !,
691 % do a case split
692 (N=0
693 % Instead of doing a case-split on 0; we could try and detect other relevant values (e.g., what if we have x / (y-1)
694 ; try_post_constraint(N #>0), % TO DO: use clpfd_lt_expr(0,N), ?and in other calls; this is an area where time-outs are more likely, but we cannot do anything about them anyway
695 ? force_enumerate_int_wo_case_split(N,'INTEGER',EnumWarning,Span,WF)
696 ; try_post_constraint(N #<0),
697 ? force_enumerate_int_wo_case_split(N,'INTEGER',EnumWarning,Span,WF)
698 ).
699 enum_unbounded_clp(FDLow,FDUp,N,EnumWarning,Span,WF) :-
700 % we cover only negative or only positive numbers
701 ? force_enumerate_with_warning(N,FDLow,FDUp,'INTEGER',EnumWarning,Span,WF).
702
703 % force enumeration without case split:
704 force_enumerate_int_wo_case_split(N,Msg,EnumWarning,Span,WF) :-
705 clpfd_domain(N,FDLow,FDUp), % print(enum(N,FDLow,FDUp)),nl,
706 (finite_domain(FDLow,FDUp)
707 ? -> label(N,FDLow,FDUp)
708 ; %print(force_enumerate_int_wo_case_split(FDLow,FDUp)),nl,
709 ? force_enumerate_with_warning(N,FDLow,FDUp,Msg,EnumWarning,Span,WF)
710 ).
711
712 force_enumerate_with_warning(N,_FDLow,_FDUp,_Msg,_EnumWarning,_Span,_WF) :- % check if we should enumerate at all
713 ? is_wd_guarded_result_variable(N),!. % affects tests 1825, 2017
714 force_enumerate_with_warning(N,FDLow,FDUp,Msg,EnumWarning,Span,WF) :-
715 make_domain_finite(FDLow,FDUp,Min,Max),
716 gen_enum_warning_wf(Msg,FDLow:FDUp,Min:Max,EnumWarning,Span,WF),
717 %try_post_constraint(N in Min..Max), % I am not sure whether this is useful or not
718 ? enumerate_int2(N,Min,Max).
719
720
721 % generate enumeration warning:
722 gen_enum_warning_wf(TYPE,RANGE,RESTRICTED_RANGE,Trigger,Span,WF) :-
723 Warning = enumeration_warning(enumerating(Info),TYPE,RANGE,RESTRICTED_RANGE,critical),
724 (get_trigger_info(Trigger,Info)
725 -> (Span=unknown,Info=b(_,_,_),get_texpr_pos(Info,Span2) -> true ; Span2=Span)
726 ; Info=unknown, Span2=Span
727 ),
728 (add_new_event_in_error_scope(Warning,
729 print_enum_warning(Trigger,TYPE,RANGE,RESTRICTED_RANGE,Span2,WF))
730 % may also throw(Warning)
731 ->
732 (preference(allow_enumeration_of_infinite_types,false)
733 -> formatsilent('### VIRTUAL TIME-OUT generated because ENUMERATE_INFINITE_TYPES=false~n',[]),
734 % print_pending_abort_error(WF),
735 (silent_mode(on) -> true ; print_span_nl(Span2)),
736 throw(Warning)
737 ; Trigger = trigger_throw(Source)
738 -> (silent_mode(on) -> true
739 ; Source=b(identifier(ID),_,_) ->
740 format('### VIRTUAL TIME-OUT generated for ~w ',[ID]),
741 print_span_nl(Span2)
742 ; format('### VIRTUAL TIME-OUT generated for ~w ',[Source]),
743 print_span_nl(Span2)
744 ),
745 throw(Warning)
746 ; true)
747 ; true).
748
749 %get_trigger_info(trigger_false(I),Info) :- get_trigger_info2(I,Info). % was non_critical ; no longer used
750 get_trigger_info(trigger_true(I),Info) :- get_trigger_info2(I,Info).
751 get_trigger_info(trigger_throw(I),Info) :- get_trigger_info2(I,Info).
752 %get_trigger_info2(enum_wf_context(_,Info),Res) :- !,Res=Info. % no longer used; WF now passed
753 get_trigger_info2(Info,Info).
754
755
756 % TO DO: pass WF explicitly rather than extracting it from enumeration warning terms
757 :- use_module(translate,[translate_span/2, translate_error_term/3]).
758 print_pending_abort_error(WF) :-
759 pending_abort_error(WF,Msg,ErrTerm,Span),
760 !, % just print one error
761 translate_span(Span,TSpan),
762 translate_error_term(ErrTerm,Span,TT),
763 (get_wait_flag_infos(WF,WFInfos),
764 member(expect_explicit_value,WFInfos)
765 -> ajoin(['Potential WD-Error: ',Msg],WDMsg),
766 add_warning(eval_expr_command,WDMsg,TT,Span)
767 ; format_with_colour(user_output,[bold],' (could be due to WD-Error ~w: ~w ~w)~n',[TSpan,Msg,TT])).
768 print_pending_abort_error(_).
769
770 % try and get get_pending_abort_error_for_trigger
771 get_pending_abort_error_for_info(WF,Span,FullMsg,ErrTerm) :-
772 pending_abort_error(WF,Msg,ErrTerm,Span),
773 ajoin(['Enumeration warning occured, probably caused by WD-Error: ',Msg],FullMsg).
774
775 :- use_module(translate,[print_span/1, print_span_nl/1]).
776 % THROWING,OuterSpan added by add_new_event_in_error_scope
777 print_enum_warning(_,_,_,_,_,_WF,THROWING,_) :-
778 silent_mode(on), % we could also check: performance_monitoring_on,
779 \+ will_throw_enum_warning(THROWING), % maybe we should also be silent if THROWING=throwing; see test 1522,
780 % see also test 2554 (if run with STRICT_RAISE_ENUM_WARNINGS = TRUE)
781 !. % do not print
782 print_enum_warning(Trigger,_,_,_,_LocalSpan,WF,THROWING,OuterThrowSpan) :-
783 will_throw_enum_warning(THROWING),
784 debug_mode(off),
785 !, % do not print detailed enumeration warning with reduced scopes; we print another message instead
786 print_throwing_wf(THROWING,Trigger,OuterThrowSpan,WF).
787 print_enum_warning(_,_,_,_,_,_WF,THROWING,_) :- THROWING \= throwing,
788 inc_counter(non_critical_enum_warnings,Nr), Nr>50,!, % do not print anymore
789 (Nr=51 -> write('### No longer printing non-critical enumeration warnings; limit exceeded.'),nl
790 ; true).
791 print_enum_warning(Trigger,TYPE,RANGE,RESTRICTED_RANGE,LocalSpan,WF,THROWING,OuterThrowSpan) :-
792 write('### Unbounded enumeration of '), % error_manager:trace_if_user_wants_it,
793 print_trigger_var(Trigger),
794 format('~w : ~w ---> ~w ',[TYPE,RANGE,RESTRICTED_RANGE]),
795 print_wf_context(WF),
796 print_span(LocalSpan),nl,
797 print_throwing_wf(THROWING,Trigger,OuterThrowSpan,WF).
798
799 % just count number of enum warnings
800 :- use_module(extension('counter/counter'),
801 [counter_init/0, new_counter/1, inc_counter/2, reset_counter/1]).
802 kernel_objects_startup :- % call once at startup to ensure all counters exist
803 counter_init,
804 new_counter(non_critical_enum_warnings).
805 kernel_objects_reset :- reset_counter(non_critical_enum_warnings).
806
807 :- use_module(probsrc(eventhandling),[register_event_listener/3]).
808 :- register_event_listener(startup_prob,kernel_objects_startup,
809 'Initialise kernel_objects counters.').
810 :- register_event_listener(clear_specification,kernel_objects_reset,
811 'Reset kernel_objects counters.').
812
813 % -----------
814
815 will_throw_enum_warning(THROWING) :-
816 (THROWING=throwing -> true ; preference(strict_raise_enum_warnings,true)).
817
818 :- use_module(tools_printing,[format_with_colour/4]).
819 print_throwing(THROWING,Span) :- print_throwing_wf(THROWING,unknown_info,Span,no_wf_available).
820 print_throwing_wf(THROWING,TriggerInfo,ThrowSpan,WF) :-
821 peel_trigger(TriggerInfo,Info),
822 (preference(strict_raise_enum_warnings,true)
823 -> (get_pending_abort_error_for_info(WF,Span,Msg,ErrTerm)
824 -> add_error(strict_raise_enum_warnings,Msg,ErrTerm,Span)
825 ; (get_trigger_info_variable(Info,VID) -> true ; VID='?'),
826 add_error(strict_raise_enum_warnings,'Enumeration warning occured for ',VID,ThrowSpan)
827 )
828 ; true
829 ),
830 (THROWING=throwing ->
831 (get_trigger_info_variable(Info,VarID)
832 -> format_with_colour(user_output,[bold],'Generating VIRTUAL TIME-OUT for unbounded enumeration of ~w!~n',[VarID])
833 ; format_with_colour(user_output,[bold],'Generating VIRTUAL TIME-OUT for unbounded enumeration warning!~n',[])
834 ),
835 print_pending_abort_error(WF),
836 (get_wait_flags_context_msg(WF,Msg) % % get call stack or other context message from WF
837 -> format_with_colour(user_output,[bold],' ~w~n',[Msg])
838 ; true),
839 (extract_span_description(ThrowSpan,PosMsg) -> format_with_colour(user_output,[bold],' ~w~n',[PosMsg]) ; true)
840 ; true).
841
842 peel_trigger(trigger_true(Info),Info) :- !.
843 peel_trigger(trigger_throw(Info),Info) :- !.
844 peel_trigger(Info,Info).
845
846 print_trigger_var(trigger_true(Info)) :- !, print_trigger_var_info(Info), write(' : ').
847 print_trigger_var(trigger_throw(Info)) :- !, print_trigger_var_info(Info), write(' : (all_solutions) : ').
848 %print_trigger_var(trigger_false(Info)) :- !, print_trigger_var_info(Info), print(' (not critical [unless failure]) : '). % no longer used
849 print_trigger_var(X) :- write(' UNKNOWN TRIGGER: '), print(X), write(' : ').
850
851 print_wf_context(WF) :-
852 (get_wait_flags_context_msg(WF,Msg)
853 -> format('~n### ~w~n ',[Msg]) %format(' : (~w)',[Msg])
854 ; true).
855 :- use_module(translate,[print_bexpr/1]).
856 print_trigger_var_info(b(E,T,I)) :- !, print_bexpr(b(E,T,I)), write(' '), print_span(I).
857 print_trigger_var_info(VarID) :- print(VarID).
858
859 % get variable name from trigger info field
860 get_trigger_info_variable(b(identifier(ID),_,_),VarID) :- !, VarID=ID.
861 get_trigger_info_variable(ID,VarID) :- atom(ID), VarID=ID.
862
863
864 % generate a warning if a large range is enumerated
865 gen_enum_warning_if_large(Var,FDLow,FDUp) :-
866 (FDUp>FDLow+8388608 /* 2**23 ; {x|x:1..2**23 & x mod 2 = x mod 1001} takes about 2 minutes */
867 % however the domain itself could be very small, we also check clpfd_size instead
868 -> fd_size(Var,Size), % no need to call clpfd_size; we know we are in CLP(FD) mode
869 (Size =< 8388608 -> true
870 ; enum_warning_large(Var,'INTEGER',FDLow:FDUp)
871 )
872 ; true).
873 enum_warning_large(_Var,TYPE,RANGE) :-
874 Warning = enumeration_warning(enumerating,TYPE,RANGE,RANGE,non_critical),
875 (add_new_event_in_error_scope(Warning,print_enum_warning_large(TYPE,RANGE))
876 -> true
877 ; true).
878
879 print_enum_warning_large(TYPE,RANGE,THROWING,Span) :-
880 print('### Warning: enumerating large range '),
881 print(TYPE), print(' : '),
882 print(RANGE),nl,
883 print_throwing(THROWING,Span).
884
885 :- block finite_warning(-,?,?,?,?).
886 finite_warning(_,Par,Types,Body,Source) :-
887 add_new_event_in_error_scope(enumeration_warning(checking_finite_closure,Par,Types,finite,critical),
888 print_finite_warning(Par,Types,Body,Source) ),
889 fail. % WITH NEW SEMANTICS OF ENUMERATION WARNING WE SHOULD PROBABLY ALWAYS FAIL HERE !
890 print_finite_warning(Par,Types,Body,Source,THROWING,Span) :-
891 print('### Warning: could not determine set comprehension to be finite: '),
892 translate:print_bvalue(closure(Par,Types,Body)),nl,
893 print('### Source: '), print(Source),nl,
894 print_throwing(THROWING,Span).
895
896 :- block enumerate_natural(-,?,-,?,?).
897 ?enumerate_natural(N,From,_,Span,WF) :- nonvar(N) -> true ; enumerate_natural(N,From,Span,WF).
898 enumerate_natural(N,From,Span,WF) :- preference(use_clpfd_solver,false),!,
899 clpfd_off_domain(N,From,sup,NewLow,NewUp), % try narrow down domain using co-routines
900 (finite_domain(NewLow,NewUp) -> enumerate_int1(N,NewLow,NewUp)
901 ; force_enumerate_with_warning(N,NewLow,NewUp,'NATURAL(1)',trigger_true('NATURAL(1)'),Span,WF)).
902 enumerate_natural(N,From,Span,WF) :- clpfd_domain(N,FDLow,FDUp),
903 fd_max(FDLow,From,Low),
904 (finite_domain(Low,FDUp)
905 ? -> label(N,Low,FDUp)
906 ? ; enumerate_natural_unbounded(N,Low,FDUp,Span,WF)
907 ).
908 enumerate_natural_unbounded(N,FDLow1,FDUp,Span,WF) :-
909 (FDLow1=0
910 -> (N=0 ; /* do a case split */
911 try_post_constraint(N #>0), % this can sometimes make the domain finite
912 ? force_enumerate_int_wo_case_split(N,'NATURAL',trigger_true('NATURAL'),Span,WF)
913 )
914 ? ; force_enumerate_with_warning(N,FDLow1,FDUp,'NATURAL(1)',trigger_true('NATURAL(1)'),Span,WF)
915 ).
916
917
918 % assumes one of FDLow and FDUp is not a number
919 make_domain_finite(FDLow,_FDUp,Min,Max) :- number(FDLow),!,Min=FDLow,
920 preferences:preference(maxint,MaxInt),
921 (MaxInt>=FDLow -> Max=MaxInt ; Max=FDLow). % ensure that we try at least one number
922 make_domain_finite(_FDLow,FDUp,Min,Max) :- number(FDUp),!,Max=FDUp,
923 preferences:preference(minint,MinInt),
924 (MinInt=<FDUp -> Min=MinInt ; Min=FDUp).
925 make_domain_finite(_FDLow,_FDUp,Min,Max) :-
926 ((preferences:preference(maxint,Max),
927 preferences:get_preference(minint,Min))->true). % ensure that we try at least one number
928
929 enumerate_int1(N,Min,Max) :-
930 (Min<0 /* enumerate positive numbers first; many specs only use NAT/NATURAL */
931 -> (enumerate_int2(N,0,Max) ; enumerate_int2(N,Min,-1))
932 ? ; enumerate_int2(N,Min,Max)
933 ).
934 enumerate_int(X,Low,Up) :- get_int_domain(X,Low,Up,RL,RU),
935 %% print(enumerate_int(X,Low,Up, RL,RU)),nl, %%
936 ? enumerate_int2(X,RL,RU).
937
938 get_int_domain(X,Low,Up,RL,RU) :- clpfd_domain(X,FDLow,FDUp),
939 fd_max(FDLow,Low,RL),fd_min(FDUp,Up,RU).
940
941 finite_domain(Low,Up) :- \+ infinite_domain(Low,Up).
942 infinite_domain(inf,_) :- !.
943 infinite_domain(_,sup).
944
945 % second arg should always be a number
946 fd_max(inf,L,R) :- !,R=L.
947 fd_max(FDX,Y,R) :- (nonvar(FDX),nonvar(Y),FDX>Y -> R=FDX ; R=Y).
948 fd_min(sup,L,R) :- !,R=L.
949 fd_min(FDX,Y,R) :- (nonvar(FDX),nonvar(Y),FDX<Y -> R=FDX ; R=Y).
950
951 :- use_module(clpfd_interface,[clpfd_randomised_enum/3]).
952
953 enumerate_int2(N,X,Y) :- % mainly called when CLPFD false
954 (preferences:get_preference(randomise_enumeration_order,true)
955 ? -> clpfd_randomised_enum(N,X,Y) ; enumerate_int2_linear(N,X,Y)).
956
957 enumerate_int2_linear(N,X,Y) :- X=<Y,
958 ? (N=X ; X1 is X+1, enumerate_int2_linear(N,X1,Y)).
959
960
961 enumerate_basic_type_set(X,Type,Tight,EnumWarning,WF) :- var(X),!,
962 max_cardinality_with_check(Type,Card),
963 ? enumerate_basic_type_set2(X,[],Card,Type,none,Tight,EnumWarning,WF).
964 enumerate_basic_type_set([],_,_,_EnumWarning,_WF) :- !.
965 enumerate_basic_type_set(avl_set(_),_,_,_EnumWarning,_WF) :- !.
966 enumerate_basic_type_set(freetype(_),_,_,_EnumWarning,_WF) :- !.
967 enumerate_basic_type_set(global_set(GS),Type,_Tight,_EnumWarning,_WF) :- !,
968 (Type = global(GT)
969 -> (GS = GT -> true
970 ; nonvar(GS), add_error_and_fail(enumerate_basic_type_set,'Type error in global set: ',GS:GT))
971 ; Type = integer,integer_global_set(GS)
972 ; Type = string, string_global_set(GS)
973 ; Type = real, real_global_set(GS)
974 ).
975 enumerate_basic_type_set(closure(Parameters, PT, Body),_Type,_Tight,_EnumWarning,WF) :- !,
976 (ground(Body) -> true
977 ; add_message_wf(kernel_objects,'Enumerating non-ground closure body: ',closure(Parameters, PT, Body),Body,WF),
978 % this did happen for symbolic total function closures set up for f : NATURAL1 --> ..., see test 2022
979 %term_variables(Body,Vars), print('### Variables: '), print(Vars),nl,
980 ? enumerate_values_inside_expression(Body,WF)
981 ).
982 enumerate_basic_type_set([H|T],Type,Tight,EnumWarning,WF) :- !,
983 % collect bound elements; avoid enumerating initial elements with elements that already appear later
984 collect_bound_elements([H|T], SoFar,Unbound,Closed),
985 (Closed=false -> max_cardinality_with_check(Type,Card)
986 ; Card = Closed),
987 % print(enum(Card,Unbound,SoFar,[H|T],Closed)),nl,
988 ? enumerate_basic_type_set2(Unbound,SoFar,Card,Type,none,Tight,EnumWarning,WF).
989 %enumerate_basic_type_set([H|T],Type,Tight,WF) :- !,
990 % (is_list_skeleton([H|T],Card) -> true
991 % ; max_cardinality_with_check(Type,Card)
992 % ),
993 % enumerate_basic_type_set2([H|T],[],Card,Type,none,Tight,WF).
994 enumerate_basic_type_set(S,Type,Tight,EnumWarning,WF) :-
995 add_internal_error('Illegal set: ',enumerate_basic_type_set(S,Type,Tight,EnumWarning,WF)).
996
997 enumerate_basic_type_set2(HT,ElementsSoFar,_Card,_Type,_Last,_Tight,_EnumWarning,_WF) :- nonvar(HT),
998 is_custom_explicit_set(HT,enumerate_basic_type),!,
999 disjoint_sets(HT,ElementsSoFar). % I am not sure this is necessary; probably other constraints already ensure this holds
1000 enumerate_basic_type_set2(HT,ElementsSoFar,Card,Type,Last,Tight,EnumWarning,WF) :- var(HT),
1001 preferences:preference(randomise_enumeration_order,true),!,
1002 (random(1,3,1)
1003 ? -> (enumerate_basic_type_set_cons(HT,ElementsSoFar,Card,Type,Last,Tight,EnumWarning,WF)
1004 ; HT = [])
1005 ; (HT = [] ;
1006 ? enumerate_basic_type_set_cons(HT,ElementsSoFar,Card,Type,Last,Tight,EnumWarning,WF))
1007 ).
1008 enumerate_basic_type_set2([],_,_,_,_,_Tight,_EnumWarning,_WF).
1009 enumerate_basic_type_set2(HT,ElementsSoFar,Card,Type,Last,Tight,EnumWarning,WF) :-
1010 ? enumerate_basic_type_set_cons(HT,ElementsSoFar,Card,Type,Last,Tight,EnumWarning,WF).
1011
1012 enumerate_basic_type_set_cons(HT,ElementsSoFar,Card,Type,Last,Tight,EnumWarning,WF) :- positive_card(Card),
1013 %debug:trace_point(enum(HT,ElementsSoFar,Card,Type,Last,Tight)),
1014 (var(HT) -> HT=[H|T], NewLast=NormH /* the enumerator has completely determined H */
1015 % Note: HT=[H|T] may wake up co-routines and then attach infos to H; but these should hold indpendently for all elements
1016 ; HT=[H|T],
1017 (unbound_value(H)
1018 -> NewLast=NormH /* the enumerator has completely determined H */
1019 ; NewLast=Last) /* H was not freely chosen by the enumerator */
1020 ),
1021 ? not_element_of(H,ElementsSoFar), % this is only needed for elements generated by the enumerator itself
1022 % if we pass WF to not_element_of then test 479 fails due to different enumeration order
1023 ? enumerate_type_wf(H,Type,Tight,EnumWarning,WF),
1024 % TO DO: extract normal form from add_new_element
1025 % Note: if H is_wd_guarded_result_variable then H may not be ground !!
1026 (ground_value(H)
1027 -> val_greater_than(H,NormH,Last),
1028 add_new_element(NormH,ElementsSoFar,SoFar2) % TODO : use add_new_element_wf ?
1029 ; add_new_element(H,ElementsSoFar,SoFar2),
1030 NormH=none
1031 ),
1032 C1 is Card-1,
1033 ? enumerate_basic_type_set2(T,SoFar2,C1,Type,NewLast,Tight,EnumWarning,WF).
1034
1035 :- assert_must_succeed((collect_bound_elements([int(1),int(2),int(4),X,int(5)|T],_,U,C),U==[X|T],C==false)).
1036 :- assert_must_succeed((collect_bound_elements([int(1),int(2),int(4),X,int(5)],_,U,C),U==[X],C==1)).
1037 :- assert_must_succeed(exhaustive_kernel_succeed_check(collect_bound_elements([int(1),int(2),int(4),int(5)],_,_,_))).
1038
1039 % collect the bound and unbound elements in a list; also return if the list is closed (then return length) or return false
1040 collect_bound_elements(T, SoFar,Unbound,Closed) :- var(T),!, SoFar=[],Unbound=T,Closed=false.
1041 collect_bound_elements([],[],[],0).
1042 collect_bound_elements(avl_set(A),avl_set(A),[],0).
1043 collect_bound_elements(global_set(GS),SoFar,Unbound,Closed) :- expand_custom_set(global_set(GS),ES),
1044 collect_bound_elements(ES,SoFar,Unbound,Closed).
1045 collect_bound_elements(freetype(FS),SoFar,Unbound,Closed) :- expand_custom_set(freetype(FS),ES),
1046 collect_bound_elements(ES,SoFar,Unbound,Closed).
1047 collect_bound_elements(closure(P,T,B),SoFar,Unbound,Closed) :- expand_custom_set(closure(P,T,B),ES),
1048 collect_bound_elements(ES,SoFar,Unbound,Closed).
1049 collect_bound_elements([H|T],SoFar,Unbound,Closed) :-
1050 collect_bound_elements(T,TSoFar,TUnbound,TClosed),
1051 (ground(H) -> add_new_element(H,TSoFar,SoFar), Unbound=TUnbound, TClosed=Closed
1052 ; SoFar = TSoFar, Unbound = [H|TUnbound],
1053 (TClosed=false -> Closed=false ; Closed is TClosed+1)
1054 ).
1055
1056
1057 % perform order checking on terms, normalising them first
1058 % val_greater_than(A,NormA,NormB)
1059 val_greater_than(A,NormA,NormB) :- !,
1060 (nonvar(A),custom_explicit_sets:convert_to_avl_inside_set(A,NormA)
1061 -> (NormB==none -> true ; NormA @> NormB)
1062 ; add_internal_error('Call failed: ',custom_explicit_sets:convert_to_avl_inside_set(A,NormA)),
1063 NormA = A).
1064
1065 positive_card(inf) :- !, print('$').
1066 positive_card(C) :- (integer(C) -> C>0
1067 ; add_internal_error('Not an integer: ',positive_card(C)),fail).
1068
1069
1070
1071 :- block enumerate_basic_field_types(?,-,?,-,?).
1072 enumerate_basic_field_types([],[],_Tight,_EnumWarning,_).
1073 enumerate_basic_field_types(Fields,[field(Name,VT)|TT],Tight,EnumWarning,WF) :-
1074 ? enumerate_basic_field_types2(Fields,Name,VT,TT,Tight,EnumWarning,WF).
1075
1076 :- block enumerate_basic_field_types2(?,-,?,?,?,?,?).
1077 enumerate_basic_field_types2([field(Name1,V)|T], Name2,VT,TT,Tight,EnumWarning,WF) :-
1078 check_field_name_compatibility(Name1,Name2,enumerate_basic_field_types2),
1079 ? enumerate_type_wf(V,VT,Tight,EnumWarning,WF),
1080 ? enumerate_basic_field_types(T,TT,Tight,EnumWarning,WF).
1081
1082
1083 :- block all_objects_of_type(-,?).
1084 all_objects_of_type(Type,Res) :-
1085 findall(O,enumerate_basic_type(O,Type),Res).
1086
1087 :- use_module(library(avl),[avl_size/2]).
1088 :- use_module(kernel_cardinality_attr,[clpfd_card_domain_for_var/3]).
1089 % obtain info for enumerating sequence lists: length of list skeleton and maximum index inferred to be in the list
1090 % (MaxIndex is not the maximum index that can appear in the full sequence !)
1091 list_length_info(X,LenSoFar,Len,Type,MaxIndex) :- var(X),!,Len=0,
1092 clpfd_card_domain_for_var(X,MinCard,MaxCard),
1093 ( number(MinCard)
1094 -> MaxIndex is MinCard+LenSoFar % we know a valid list must be at least LenSoFar+MinCard long
1095 ; MaxIndex=0),
1096 ( number(MaxCard) -> Max1 is MaxCard+Len, Type = open_bounded(Max1) ; Type = open).
1097 list_length_info([],_,0,closed,0).
1098 list_length_info([H|T],LenSoFar,C1,Type,MaxIndex1) :- Len1 is LenSoFar+1,
1099 list_length_info(T,Len1,C,Type,MaxIndex),
1100 C1 is C+1,
1101 (nonvar(H),H=(I,_),nonvar(I),I=int(Idx),number(Idx),Idx>MaxIndex
1102 -> MaxIndex1 = Idx ; MaxIndex1 = MaxIndex).
1103 list_length_info(avl_set(A),LenSoFar,Size,closed,0) :- % case arises e.g. in private_examples/ClearSy/2019_Dec/well_def
1104 (LenSoFar=0 -> Size=1000000 % then length not used anyway
1105 ; avl_size(A,Size)). % we could check that this is a sequence tail!
1106 list_length_info(closure(_,_,_),_,0,open,0).
1107
1108 :- assert_must_succeed((max_cardinality(set(couple(global('Name'),global('Code'))),64))).
1109 :- assert_must_succeed((max_cardinality(set(set(set(couple(global('Name'),global('Code'))))),_))).
1110 :- assert_must_succeed((kernel_freetypes:add_freetype(selfc4,[case(a,boolean),case(b,couple(boolean,boolean))]),
1111 max_cardinality(freetype(selfc4),6),
1112 kernel_freetypes:reset_freetypes)).
1113 :- assert_must_succeed((kernel_freetypes:add_freetype(selfc6,[case(a,boolean),case(b,freetype(selfc6)),case(c,constant([c]))]),
1114 kernel_freetypes:set_freetype_depth(3),
1115 findall(X,enumerate_tight_type(X,freetype(selfc6)),Solutions),
1116 length(Solutions,NumberOfSolutions),
1117 max_cardinality(freetype(selfc6),NumberOfSolutions),
1118 kernel_freetypes:reset_freetypes)).
1119
1120 :- use_module(tools_printing,[print_error/1]).
1121 max_cardinality_with_check(Set,CCard) :-
1122 (max_cardinality(Set,Card) ->
1123 (is_inf_or_overflow_card(Card)
1124 -> debug_println(9,very_large_cardinality(Set,Card)),
1125 CCard = 20000000
1126 ; CCard=Card,
1127 (Card>100 -> debug_println(9,large_cardinality(Set,Card)) ; true)
1128 )
1129 ; print_error(failed(max_cardinality(Set,CCard))), CCard = 10
1130 ).
1131 max_cardinality(global(T),Card) :- b_global_set_cardinality(T,Card).
1132 max_cardinality(boolean,2).
1133 max_cardinality(constant([_V]),1).
1134 max_cardinality(any,inf). % :- print_message(dont_know_card_of_any). /* TODO: what should we do here ? */
1135 max_cardinality(string,MC) :- max_cardinality_string(MC). % is inf now
1136 %max_cardinality(abort,1).
1137 max_cardinality(integer,Card) :- Card=inf. %b_global_set_cardinality('INTEGER',Card).
1138 max_cardinality(real,Card) :- Card=inf.
1139 max_cardinality(seq(X),Card) :- % Card=inf, unless a freetype can be of cardinality 0
1140 max_cardinality(set(couple(integer,X)),Card).
1141 max_cardinality(couple(X,Y),Card) :-
1142 ? max_cardinality(X,CX), max_cardinality(Y,CY), safe_mul(CX,CY,Card).
1143 max_cardinality(record([]),1).
1144 max_cardinality(record([field(_,T1)|RF]),Card) :-
1145 ? max_cardinality(record(RF),RC),
1146 ? max_cardinality(T1,C1),
1147 safe_mul(C1,RC,Card).
1148 ?max_cardinality(set(X),Card) :- max_cardinality(X,CX),
1149 safe_pow2(CX,Card).
1150 max_cardinality(freetype(Id),Card) :- max_cardinality_freetype(freetype(Id),Card).
1151 max_cardinality(freetype_lim_depth(Id,Depth),Card) :- max_cardinality_freetype(freetype_lim_depth(Id,Depth),Card).
1152
1153
1154
1155 /* ---------------------------- */
1156
1157
1158 /* use a cleverer, better enumeration than enumerate_basic_type */
1159 /* can only be used in certain circumstances: operation preconditions,
1160 properties,... but not for VARIABLES as there is no guarantee that
1161 something declared as a sequence will actually turn out to be a sequence */
1162
1163 :- assert_pre(kernel_objects:enumerate_tight_type(Obj,Type),
1164 (type_check(Obj,bsets_object),type_check(Type,basic_type_descriptor))).
1165 :- assert_post(kernel_objects:enumerate_tight_type(Obj,_), (type_check(Obj,bsets_object),ground_check(Obj))).
1166 :- assert_pre(kernel_objects:enumerate_tight_type(Obj,Type,_),
1167 (type_check(Obj,bsets_object),type_check(Type,basic_type_descriptor))).
1168 :- assert_post(kernel_objects:enumerate_tight_type(Obj,_,_), (type_check(Obj,bsets_object),ground_check(Obj))).
1169
1170 :- assert_must_succeed(enumerate_tight_type([(int(1),int(2)),(int(2),int(4))],
1171 seq(integer) )).
1172 :- assert_must_succeed(enumerate_tight_type([(int(1),int(2))],seq(integer) )).
1173 :- assert_must_succeed(enumerate_tight_type([],seq(integer) )).
1174 :- assert_must_succeed((enumerate_tight_type(X,record([field(a,integer),field(b,global('Name'))])),
1175 equal_object(X,rec([field(a,int(1)),field(b,fd(1,'Name'))])) )).
1176 :- assert_must_fail(enumerate_tight_type([(int(1),int(2)),(int(3),int(_))],
1177 seq(integer) )).
1178 :- assert_must_fail(enumerate_tight_type([(int(3),int(_))],seq(integer) )).
1179 :- assert_must_succeed((bsets_clp:is_sequence(X,global_set('Name')),
1180 enumerate_tight_type(X,seq(global('Name')) ),
1181 X = [(int(1),fd(2,'Name'))] )).
1182 :- assert_must_succeed(( enumerate_tight_type(XX, record([field(balance,integer),field(name,global('Name'))])) ,
1183 XX = rec([field(balance,int(1)),field(name,fd(3,'Name'))]) )).
1184 :- assert_must_succeed(( enumerate_tight_type(XX, set(record([field(balance,global('Name')),field(name,global('Name'))]))) , /* STILL TAKES VERY LONG !! */
1185 XX = [rec([field(balance,fd(3,'Name')),field(name,fd(3,'Name'))])] )).
1186 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(record([field(balance,global('Name')),field(name,global('Name'))]))) ,S),
1187 length(S,Len), Len = 512 )).
1188 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(record([field(name,global('Code'))]))) ,S),
1189 length(S,Len), Len = 4 )).
1190 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(record([field(fname,global('Code')),field(name,global('Code'))]))) ,S),
1191 length(S,Len), Len = 16 )).
1192 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(record([field(fname,global('Code')),field(name,global('Name'))]))) ,S),
1193 length(S,Len), Len = 64 )).
1194 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(global('Name'))) ,S),
1195 length(S,Len), Len = 8 )).
1196 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(set(boolean))) ,S),
1197 length(S,Len), Len = 16 )).
1198 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(set(global('Name')))) ,S),
1199 length(S,Len), Len = 256 )).
1200 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(set(global('Code')))) ,S),
1201 length(S,Len), Len = 16 )).
1202 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(set(boolean))) ,S),
1203 length(S,Len), Len = 16 )).
1204 :- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(couple(global('Code'),global('Name')))) ,S),
1205 length(S,Len), Len = 64 )).
1206 %:- assert_must_succeed(( findall(XX,enumerate_tight_type(XX, set(couple(global('Code'),integer))) ,S),
1207 % length(S,Len), Len = 64 )).
1208 :- assert_must_succeed(( enumerate_tight_type(XX, set(record([field(balance,integer)]))) ,
1209 XX = [rec([field(balance,int(1))])] )).
1210 :- assert_must_succeed(( enumerate_tight_type(global_set('Code'),set(global('Code'))) )).
1211
1212 enumerate_tight_type(Obj,Type) :-
1213 enumerate_tight_type_wf(Obj,Type,no_wf_available).
1214
1215 enumerate_tight_type_wf(Obj,Type,WF) :-
1216 ? enumerate_tight_type_wf(Obj,Type,trigger_true(enumerate_tight_type),WF).
1217
1218 enumerate_tight_type(Obj,Type,EnumWarning) :- %enumerate_tight_type2(Type,Obj).
1219 enumerate_tight_type_wf(Obj,Type,EnumWarning,no_wf_available).
1220
1221 :- block enumerate_tight_type_wf(?,-,?,?), enumerate_tight_type_wf(?,?,-,?).
1222 enumerate_tight_type_wf(Obj,Type,EnumWarning,WF) :- %enumerate_tight_type2(Type,Obj).
1223 (ground_value(Obj) -> true ; % print(enumerate_tight_type(Obj,Type)),nl,
1224 ? enumerate_basic_type4(Type,Obj,tight,EnumWarning,WF)
1225 ).
1226
1227 /* TO DO: provide tight enumerators for nat, functions, ... ?? */
1228
1229
1230
1231 :- assert_must_succeed((X=[(int(I1),pred_true /* bool_true */),Y], dif(I1,1),
1232 kernel_objects:enumerate_seq_type(X,boolean,true),I1==2,Y=(int(1),pred_false /* bool_false */))).
1233
1234 enumerate_seq_type(X,Type,EnumWarning) :- enumerate_seq_type_wf(X,Type,EnumWarning,no_wf_available).
1235
1236 enumerate_seq_type_wf(X,Type,EnumWarning,WF) :-
1237 list_length_info(X,0,Len,ListType,MaxIndex), % ListType can be open or closed
1238 % determine MaxIndexForEnum:
1239 (ListType=closed
1240 -> MaxIndexForEnum=Len, EW = no_enum_warning,
1241 MaxIndex =< Len % otherwise this is obviously not a sequence (Index in set which is larger than size)
1242 ; ListType=open_bounded(MaxSize)
1243 -> MaxIndexForEnum=MaxSize, EW = no_enum_warning,
1244 MaxIndex =< MaxSize % otherwise cannot be a sequence
1245 % TO DO: use MinSize?
1246 ; (MaxIndex>Len -> Card = MaxIndex ; Card=Len), % in case we already have an explicit index which is higher than the length we use that as index
1247 b_global_set_cardinality('NAT1',NatCard),
1248 (NatCard<Card -> Max1=Card ; Max1=NatCard),
1249 (Max1<1 -> MaxIndexForEnum = 1 ; MaxIndexForEnum=Max1), % ensure that we generate enumeration warning
1250 EW = EnumWarning
1251 ),
1252 ? enumerate_seq(X,range(1,MaxIndexForEnum),MaxIndexForEnum,Type,EW,WF).
1253
1254 enumerate_seq([],_,_,_,_,_WF).
1255 enumerate_seq(V,_,_,_,_,_WF) :- nonvar(V),V=avl_set(_),!.
1256 enumerate_seq(V,_,_,Type,EnumWarning,WF) :- nonvar(V),V=closure(_,_,_),!,
1257 enumerate_basic_type_set(V,Type,not_tight,EnumWarning,WF).
1258 enumerate_seq(Seq,_,_,_,_,_WF) :- nonvar(Seq),
1259 is_custom_explicit_set(Seq,enumerate_seq),!.
1260 enumerate_seq(Seq,Indexes,Card,Type,EnumWarning,WF) :-
1261 (unbound_variable_for_cons(Seq)
1262 -> positive_card(Card),
1263 get_next_index(Indexes,Index,RemIndexes), % force next index
1264 Seq = [(int(Index),Element)|TSeq], VarEl=true
1265 ; Seq = [El|TSeq],
1266 (unbound_variable(El)
1267 -> VarEl=true, get_next_index(Indexes,Index,RemIndexes) % force next index
1268 ; VarEl=false),
1269 El = (int(Index),Element)
1270 ),
1271 (VarEl=true
1272 -> true % index already forced above
1273 ; number(Index) -> remove_index_ground(Indexes,Index,RemIndexes) % this can fail if Index > MaxIndex found above ! but not first time around, i.e., we will generate enum warning anyway
1274 ? ; remove_index(Indexes,Index,RemIndexes)
1275 ),
1276 (EnumWarning==no_enum_warning -> true
1277 ; gen_enum_warning_wf('seq (length)',inf,Card,EnumWarning,unknown,WF)), % delay enum_warning until we have made the first case-split (sometimes instantiating the sequence to at least one element will trigger an inconsistency)
1278 ? enumerate_tight_type_wf(Element,Type,WF),
1279 C1 is Card-1,
1280 ? enumerate_seq(TSeq,RemIndexes,C1,Type,no_enum_warning,WF).
1281
1282 get_next_index([Index1|RestIndexes],Index1,RestIndexes).
1283 get_next_index(range(I1,I2),I1,Res) :-
1284 I11 is I1+1,
1285 (I11>I2 -> Res=[] ; Res=range(I11,I2)).
1286
1287 remove_index_ground(Indexes,X,Res) :- get_next_index(Indexes,H,T),
1288 (X=H -> Res=T ; Res=[H|R2], remove_index_ground(T,X,R2)).
1289
1290 remove_index(Indexes,X,Res) :- get_next_index(Indexes,H,T),
1291 (X=H,Res=T ; X\==H, Res=[H|R2], remove_index(T,X,R2)).
1292
1293
1294
1295 /* a few more unit tests: */
1296
1297 :- assert_must_succeed(( findall(X,enumerate_type(X,set(couple(boolean,boolean)),tight) ,L), length(L,16) )).
1298 :- assert_must_succeed(( findall(X,enumerate_type(X,set(couple(boolean,boolean)),basic) ,L), length(L,16) )).
1299
1300 :- assert_must_succeed(( enumerate_tight_type(
1301 [rec([field(balance,int(0)),field(name,fd(2,'Name'))])],[
1302 rec([field(balance,int(1)),field(name,fd(3,'Name'))]),
1303 rec([field(balance,int(1)),field(name,fd(2,'Name'))]),
1304 rec([field(balance,int(0)),field(name,fd(1,'Name'))]),
1305 rec([field(balance,int(-1)),field(name,fd(1,'Name'))])],
1306 set(record([field(balance,integer),field(name,global('Name'))]))) )).
1307 :- assert_must_succeed(( enumerate_tight_type([
1308 rec([field(balance,int(1)),field(name,fd(2,'Name'))]),
1309 rec([field(balance,int(1)),field(name,fd(1,'Name'))]),
1310 rec([field(balance,int(0)),field(name,fd(1,'Name'))]),
1311 rec([field(balance,int(-1)),field(name,fd(1,'Name'))])|X],
1312 set(record([field(balance,integer),field(name,global('Name'))]))) ,
1313 X = [rec([field(balance,int(1)),field(name,fd(3,'Name'))])] )).
1314
1315 :- assert_must_succeed((not_element_of(X,[(pred_true /* bool_true */,pred_true /* bool_true */),
1316 (pred_true /* bool_true */,pred_false /* bool_false */),(pred_false /* bool_false */,pred_false /* bool_false */)]),
1317 enumerate_tight_type(X,couple(boolean,boolean)))).
1318
1319 :- assert_must_succeed(( not_equal_object(X,(pred_true /* bool_true */,pred_false /* bool_false */)),
1320 not_equal_object(X,(pred_false /* bool_false */,pred_false /* bool_false */)),
1321 not_equal_object(X,(pred_true /* bool_true */,pred_true /* bool_true */)),
1322 enumerate_tight_type(X,couple(boolean,boolean)))).
1323
1324 :- assert_must_succeed(( X = [fd(3,'Name')|T],enumerate_tight_type(X,set(global('Name'))),
1325 T == [fd(1,'Name'),fd(2,'Name')] )).
1326
1327
1328
1329 unbound_value(V) :-
1330 (var(V) -> unbound_variable(V)
1331 ; V = (V1,W1),unbound_value(V1), unbound_value(W1)).
1332
1333 :- use_module(bsyntaxtree,[syntaxtraversion/6]).
1334 enumerate_values_inside_expression(TExpr,WF) :-
1335 syntaxtraversion(TExpr,Expr,Type,_Infos,Subs,_),
1336 nonvar(Expr),!,
1337 ? enumerate_expr(Expr,Type,Subs,WF).
1338 enumerate_values_inside_expression(X,WF) :-
1339 add_internal_error('Unexpected B expression: ',enumerate_values_inside_expression(X,WF)).
1340
1341 %:- block enumerate_expr(-,?,?,?).
1342 enumerate_expr(value(X),Type,Subs,WF) :- !,
1343 ? (ground(Type) -> enumerate_value(X,Type,WF)
1344 ; add_internal_error('Value type not ground: ',enumerate_expr(value(X),Type,Subs,WF))).
1345 ?enumerate_expr(_,_,Subs,WF) :- l_enumerate_values_inside_expression(Subs,WF).
1346
1347 :- use_module(bsyntaxtree,[is_set_type/2]).
1348 % catch a few type errors:
1349 enumerate_value(X,Type,_) :- X==[], !,
1350 (is_set_type(Type,_) -> true ; add_internal_error('Illegal type: ',enumerate_value(X,Type,_))).
1351 ?enumerate_value(X,Type,WF) :- enumerate_basic_type_wf(X,Type,WF).
1352
1353 :- block l_enumerate_values_inside_expression(-,?).
1354 l_enumerate_values_inside_expression([],_WF).
1355 l_enumerate_values_inside_expression([H|T],WF) :-
1356 ? enumerate_values_inside_expression(H,WF),
1357 ? l_enumerate_values_inside_expression(T,WF).
1358
1359
1360 /* --------------- */
1361 /* top_level_dif/2 */
1362 /* --------------- */
1363 /* checks whether two terms have a different top-level functor */
1364
1365 :- assert_must_succeed(top_level_dif(a,b)).
1366 :- assert_must_succeed(top_level_dif(f(_X),g(_Z))).
1367 :- assert_must_fail(top_level_dif(f(a),f(_Z))).
1368 :- assert_must_fail(top_level_dif(f(a),f(b))).
1369
1370 :- block top_level_dif(-,?),top_level_dif(?,-).
1371 top_level_dif(X,Y) :-
1372 functor(X,FX,_),functor(Y,FY,_), FX\=FY. /* check arities ? */
1373
1374
1375 /* ------------------------------------------------------------------- */
1376 /* EQUAL OBJECT */
1377 /* ------------------------------------------------------------------- */
1378
1379 sample_closure(C) :-
1380 construct_closure([xx],[integer],Body,C),
1381 Body = b(conjunct(b(conjunct(
1382 b(member(b(identifier(xx),integer,[]),b(integer_set('NAT'),set(identifier(xx)),[])),pred,[]),
1383 b(greater(b(identifier(xx),integer,[]),b(integer(0),integer,[])),pred,[])),pred,[]),
1384 b(less(b(identifier(xx),integer,[]),b(integer(3),integer,[])),pred,[])),pred,[]).
1385
1386 :- assert_must_succeed(equal_object([int(3),int(1)],
1387 closure([zz],[integer],b(member(b(identifier(zz),integer,[]),b(value([int(1),int(3)]),set(integer),[])),pred,[])))).
1388 :- assert_must_succeed(( equal_object( (fd(1,'Name'),fd(1,'Name')) , (fd(1,'Name'),fd(1,'Name')) ) )).
1389 :- assert_must_succeed(( equal_object( (X,Y) , (fd(2,'Name'),fd(2,'Name')) ) , X = fd(2,'Name'), Y=fd(2,'Name') )).
1390 :- assert_must_fail(equal_object(term(a),term(b))).
1391 :- assert_must_fail(equal_object(int(1),int(2))).
1392 :- assert_must_fail(equal_object([term(a),term(b)],[term(a),term(c)])).
1393 :- assert_must_fail((equal_object([(int(1),[Y])],[(int(X),[Z])]),
1394 Y=(term(a),Y2), X=1, Z=(term(a),[]), Y2=[int(2)])).
1395 :- assert_must_fail(equal_object(rec([field(a,int(1))]),rec([field(a,int(2))]))).
1396 :- assert_must_fail(equal_object(rec([field(a,int(2)),field(b,int(3))]),
1397 rec([field(a,int(2)),field(b,int(4))]))).
1398 :- assert_must_succeed(equal_object(rec([field(a,int(2))]),rec([field(a,int(2))]))).
1399 :- assert_must_succeed(equal_object(rec([field(a,int(2)),field(b,[int(3),int(2)])]),
1400 rec([field(a,int(2)),field(b,[int(2),int(3)])]) )).
1401 :- assert_must_succeed(equal_object([(term(a),[])],[(term(a),[])])).
1402 :- assert_must_succeed(equal_object(_X,[int(1),int(2)])).
1403 :- assert_must_succeed(equal_object([int(1),int(2)],_X)).
1404 :- assert_must_succeed((equal_object([(int(1),[Y])],[(int(X),[Z])]),
1405 Y=(term(a),Y2), X=1, Z=(term(a),[]), Y2=[])).
1406 :- assert_must_succeed(equal_object([int(1),int(2)],[int(2),int(1)])).
1407 :- assert_must_succeed(equal_object(global_set('Name'),[fd(2,'Name'),fd(3,'Name'),fd(1,'Name')])).
1408 :- assert_must_succeed(equal_object(global_set('Name'),[fd(1,'Name'),fd(3,'Name'),fd(2,'Name')])).
1409 :- assert_must_succeed((equal_object([fd(3,'Name'),fd(2,'Name'),fd(1,'Name')],global_set('Name')))).
1410 %:- assert_must_succeed((equal_object([fd(3,'Name'),fd(2,'Name'),fd(1,'Name')],X),X=global_set('Name'))).
1411 :- assert_must_succeed((equal_object(Y,X),X=global_set('Name'),equal_object(Y,[fd(3,'Name'),fd(2,'Name'),fd(1,'Name')]))).
1412 :- assert_must_succeed((equal_object(X,X),X=global_set('Name'))).
1413 :- assert_must_succeed((equal_object(_,X),X=global_set('Name'))).
1414 :- assert_must_succeed((equal_object(X,global_set('Name')),X=global_set('Name'))).
1415 :- assert_must_succeed((equal_object([_A,_B],[int(2),int(1)]))).
1416 :- assert_must_fail((equal_object(X,global_set('Code')),X=global_set('Name'))).
1417 :- assert_must_fail((equal_object(Y,global_set('Name')),Y=[fd(3,'Name'),fd(1,'Name')])).
1418 :- assert_must_fail((equal_object(Y,global_set('Name')),Y=[_,_])).
1419 :- assert_must_succeed((equal_object(X,closure([xx],[integer],b(truth,pred,[]))),X==closure([xx],[integer],b(truth,pred,[])))).
1420 :- assert_must_succeed((sample_closure(C), equal_object([int(1),int(2)],C))).
1421 :- assert_must_succeed((sample_closure(C), equal_object(C,[int(1),int(2)]))).
1422 :- assert_must_fail((sample_closure(C), equal_object(C,[int(1),int(0)]))).
1423 :- assert_must_fail((sample_closure(C), equal_object(C,global_set('NAT')))).
1424 :- assert_must_succeed((equal_object(freeval(selfcx,a,int(5)),freeval(selfcx,a,int(5))))).
1425 :- assert_must_fail((equal_object([int(1),int(2),int(3)],global_set('NATURAL1')))).
1426 :- assert_must_fail((equal_object(X,global_set('NATURAL1')),equal_object(X,[int(1),int(2),int(3)]))).
1427 :- assert_must_fail((equal_object(X,[int(1),int(2),int(3)]),equal_object(X,global_set('NATURAL1')))).
1428 :- assert_must_fail((equal_object(X,global_set('NATURAL')),equal_object(X,global_set('NATURAL1')))).
1429 :- assert_must_succeed((equal_object(X,global_set('NATURAL')),equal_object(X,global_set('NATURAL')))).
1430 % :- assert_must_fail((equal_object(freeval(selfcx,a,int(5)),freeval(selfcy,a,int(5))))). % is a type error
1431 :- assert_must_fail((equal_object(freeval(selfcx,b,int(5)),freeval(selfcx,a,int(5))))).
1432 :- assert_must_fail((equal_object(freeval(selfcx,a,int(5)),freeval(selfcx,a,int(6))))).
1433 :- assert_must_succeed((equal_object(
1434 [[],[fd(1,'Name')],[fd(1,'Name'),fd(2,'Name')],
1435 [fd(1,'Name'),fd(2,'Name'),fd(3,'Name')],[fd(2,'Name')],[fd(3,'Name'),fd(2,'Name')]]
1436 ,[[],[fd(1,'Name')],[fd(1,'Name'),fd(2,'Name')],
1437 [fd(1,'Name'),fd(2,'Name'),fd(3,'Name')],[fd(2,'Name')],[fd(2,'Name'),fd(3,'Name')]])
1438 )).
1439 :- assert_must_succeed(exhaustive_kernel_check( (equal_object([int(3),int(2),int(1)],[int(2)|T]),
1440 equal_object(T,[int(1),int(3)])))).
1441 :- assert_must_succeed(exhaustive_kernel_check([commutative],equal_object([int(3),int(1)],[int(1),int(3)]))).
1442 :- assert_must_succeed(exhaustive_kernel_check([commutative],equal_object([int(3),int(4),int(1)],[int(4),int(1),int(3)]))).
1443
1444 %:- assert_must_succeed(exhaustive_kernel_fail_check([commutative],equal_object([int(1),int(2),int(3)],global_set('NATURAL1')))).
1445 :- assert_must_succeed(( equal_object([int(0),int(5)|T],avl_set(node(int(1),true,1,node(int(0),true,0,empty,empty),node(int(3),true,1,empty,node(int(5),true,0,empty,empty))))), nonvar(T),equal_object(T,[int(_A),int(_B)]) )).
1446 % NOTE: had multiple solutions; after solving Ticket #227 it no longer has :-)
1447 :- assert_must_succeed(( equal_object([int(0),int(5)|T],avl_set(node(int(1),true,1,node(int(0),true,0,empty,empty),node(int(3),true,1,empty,node(int(5),true,0,empty,empty))))), nonvar(T),equal_object(T,[_A,_B]) )).
1448
1449 :- assert_must_succeed((equal_object([_X,_Y],[int(1),int(2)]))).
1450 :- assert_must_succeed((equal_object([(int(1),X),(int(2),Y),(int(3),Z),(int(4),A),(int(5),B),(int(6),C),(int(7),D),(int(8),E),(int(9),F),(int(10),G)],avl_set(node((int(5),int(25)),true,0,node((int(2),int(4)),true,1,node((int(1),int(1)),true,0,empty,empty),node((int(3),int(9)),true,1,empty,node((int(4),int(16)),true,0,empty,empty))),node((int(8),int(64)),true,0,node((int(6),int(36)),true,1,empty,node((int(7),int(49)),true,0,empty,empty)),node((int(9),int(81)),true,1,empty,node((int(10),int(100)),true,0,empty,empty)))))),
1451 A == int(16), B == int(25),C == int(36),D == int(49),E == int(64),F == int(81),G == int(100),X == int(1),Y == int(4), Z == int(9))).
1452
1453 :- use_module(bool_pred).
1454
1455 ?equal_object(V1,V2) :- equal_object_wf(V1,V2,no_wf_available).
1456 ?equal_object(V1,V2,Origin) :- equal_object_wf(V1,V2,Origin,no_wf_available).
1457 ?equal_object_optimized(V1,V2,Origin) :- equal_object_optimized_wf(V1,V2,Origin,no_wf_available).
1458 ?equal_object_optimized(V1,V2) :- equal_object_optimized(V1,V2,unknown).
1459
1460 :- load_files(library(system), [when(compile_time), imports([environ/2])]).
1461 :- if(environ(prob_safe_mode,true)).
1462 /* a version of equal_object which will convert lists to avl if possible */
1463 equal_object_optimized_wf(V1,V2,Origin,WF) :-
1464 ( var(V1) -> (var(V2) -> V1=V2 ; equal_object_opt3(V2,V1,WF))
1465 ; equal_object_opt3(V1,V2,WF)),
1466 check_value(V1,Origin), check_value(V2,Origin).
1467 equal_object_wf(V1,V2,Origin,WF) :- ( (var(V1);var(V2)) -> V1=V2
1468 ; nonvar(V1) -> equal_object3(V1,V2,WF)
1469 ; equal_object3(V2,V1,WF)),
1470 check_value(V1,val1(Origin)), check_value(V2,val2(Origin)).
1471 equal_object_wf(V1,V2,WF) :- ( (var(V1);var(V2)) -> V1=V2
1472 ; nonvar(V1) -> equal_object3(V1,V2,WF)
1473 ; equal_object3(V2,V1,WF)),
1474 check_value(V1,equal_object1), check_value(V2,equal_object2).
1475 check_value(X,Origin) :- nonvar(X) -> check_value_aux(X,Origin) ; true.
1476 check_value_aux((A,B),Origin) :- !, check_value(A,pair1(Origin)), check_value(B,pair2(Origin)).
1477 check_value_aux([H|T],Origin) :- !, check_value(H,head(Origin)), check_value(T,tail(Origin)).
1478 check_value_aux(avl_set(X),Origin) :- !,
1479 (var(X) -> add_warning(Origin,'Variable avl_set')
1480 ; X=empty -> add_warning(Origin,'Empty avl_set') ; true).
1481 check_value_aux(closure(P,T,B),Origin) :- !,
1482 (ground(P),ground(T),nonvar(B) -> true
1483 ; add_warning(Origin,illegal_closure(P,T,B))).
1484 check_value_aux(_,_Origin).
1485 :- else.
1486 /* a version of equal_object which will convert lists to avl if possible */
1487 equal_object_optimized_wf(V1,V2,_Origin,WF) :-
1488 ? ( var(V1) -> (var(V2) -> V1=V2 ; equal_object_opt3(V2,V1,WF))
1489 ? ; equal_object_opt3(V1,V2,WF)).
1490
1491 equal_object_wf(V1,V2,_Origin,WF) :- ( (var(V1);var(V2)) -> V1=V2
1492 ? ; nonvar(V1) -> equal_object3(V1,V2,WF)
1493 ; equal_object3(V2,V1,WF)).
1494 equal_object_wf(V1,V2,WF) :- ( (var(V1);var(V2)) -> V1=V2
1495 ? ; nonvar(V1) -> equal_object3(V1,V2,WF)
1496 ; equal_object3(V2,V1,WF)).
1497 :- endif.
1498
1499
1500 equal_object_opt3(int(X),Y,_WF) :- !, Y=int(X).
1501 equal_object_opt3(fd(X,T),Y,_WF) :- !, Y=fd(X,T).
1502 equal_object_opt3(string(X),Y,_WF) :- !, Y=string(X).
1503 equal_object_opt3(pred_false,Y,_WF) :- !, Y=pred_false.
1504 equal_object_opt3(pred_true,Y,_WF) :- !, Y=pred_true.
1505 equal_object_opt3(X,S2,WF) :- var(S2), %unbound_variable(S2), % is it ok to assing an AVL set in one go ?!
1506 should_be_converted_to_avl_from_lists(X), !, % does a ground(X) check
1507 ? construct_avl_from_lists_wf(X,S2,WF).
1508 %equal_object_opt3([H|T],S2) :- var(S2),ground(H),ground(T), !, construct_avl_from_lists([H|T],S2).
1509 ?equal_object_opt3(X,Y,WF) :- equal_object3(X,Y,WF).
1510
1511
1512 %%equal_object3c(X,Y) :- if(equal_object3(X,Y),true,
1513 %% (print_message(equal_object3_failed(X,Y)),equal_object3(X,Y),fail)). %%
1514 :- if(environ(prob_safe_mode,true)).
1515 equal_object3(X,Y,_WF) :- (nonvar(Y) -> type_error(X,Y) ; illegal_value(X)),
1516 add_internal_error('Internal Typing Error (please report as bug !) : ',equal_object(X,Y)),fail.
1517 :- endif.
1518 equal_object3(closure(Par,ParTypes,Clo),Y,WF) :- var(Y),!,
1519 ( closure_occurs_check(Y,Par,ParTypes,Clo)
1520 -> print(occurs_check(Y,Par)),nl,
1521 expand_custom_set_wf(closure(Par,ParTypes,Clo),Expansion,equal_object3,WF),
1522 equal_object_optimized_wf(Y,Expansion,equal_object3,WF)
1523 ; Y = closure(Par,ParTypes,Clo)).
1524 equal_object3(closure(Parameters,PT,Cond),Y,WF) :-
1525 ? equal_object_custom_explicit_set(closure(Parameters,PT,Cond),Y,WF).
1526 %equal_object3(Obj,Y) :- is_custom_explicit_set(Obj,equal_object3_Obj),
1527 % equal_object_custom_explicit_set(Obj,Y,WF). % inlined below for performance
1528 equal_object3(global_set(X),Y,WF) :- equal_object_custom_explicit_set(global_set(X),Y,WF).
1529 equal_object3(freetype(X),Y,WF) :- equal_object_custom_explicit_set(freetype(X),Y,WF).
1530 ?equal_object3(avl_set(X),Y,WF) :- equal_object_custom_explicit_set(avl_set(X),Y,WF).
1531 equal_object3(pred_true /* bool_true */,pred_true /* bool_true */,_WF).
1532 equal_object3(pred_false /* bool_false */,pred_false /* bool_false */,_WF).
1533 equal_object3(term(X),term(X),_WF).
1534 equal_object3(string(X),string(X),_WF).
1535 ?equal_object3(rec(F1),rec(F2),WF) :- equal_fields_wf(F1,F2,WF).
1536 equal_object3(freeval(Id,C,F1),freeval(Id,C,F2),WF) :-
1537 instantiate_freetype_case(Id,C,C),
1538 equal_object_wf(F1,F2,WF).
1539 equal_object3(int(X),int(X),_WF).
1540 ?equal_object3(fd(X,Type),fd(Y,Type),_WF) :- eq_fd(X,Y).
1541 equal_object3((X,Y),(X2,Y2),WF) :- %write(eq(X,Y,X2,Y2)),nl,
1542 (check_if_can_unify(Y,Y2)
1543 -> true %before unifying X/X2 quickly check if Y/Y2 definitely not_equal
1544 ; %write(no_unify((X,Y),(X2,Y2))),nl,
1545 fail), %
1546 ? equal_object_wf(X,X2,WF),
1547 ? equal_object_wf(Y,Y2,WF). % initially order was reversed; but this can lead to issues in e.g. g(f("f2")), for f = {"f0"|->0, "f2"|->2} where g gets called for 0 before "f2"="f0" fails
1548 equal_object3([],X,WF) :- empty_set_wf(X,WF).
1549 equal_object3([H|T],S2,WF) :- nonvar(S2), is_custom_explicit_set_nonvar(S2),!,
1550 ? equal_custom_explicit_set_cons_wf(S2,H,T,WF).
1551 %equal_object3([H|T],S2,WF) :- equal_cons_wf(S2,H,T,WF). % leads to time-out for test 1270 : TODO investigate
1552 ?equal_object3([H|T],S2,_WF) :- equal_cons(S2,H,T).
1553
1554 % relevant for test 1419 for SICStus 4.10 for formula
1555 % card(x)=1 & !(y).(y:x & prj1(INTEGER,BOOL)(y)<50 => (prj1(INTEGER,BOOL)(y)+1,TRUE):x) & x<:(1..50)*BOOL
1556 % due to issue SPRM-21542 indomain/labeling triggers reifications without labeled value being visible to triggered code
1557 % triggered also in tests 654, 659, 995, 1079, 2142, 2341 or for !x.(x:1..10 => (x,TRUE) = (f(x),FALSE)) & f: 1..10 --> 1..10
1558 check_if_can_unify(X,Y) :- nonvar(X), nonvar(Y),!, check_if_can_unify_nv(X,Y).
1559 % should we do more checks ground string(.), ground integers, nested couple (X1,X2)
1560 check_if_can_unify(_,_).
1561 check_if_can_unify_nv(pred_true,R) :- !, R=pred_true.
1562 check_if_can_unify_nv(pred_false,R) :- !, R=pred_false.
1563 check_if_can_unify_nv(int(X),int(Y)) :- !,check_if_can_unify_atomic(X,Y).
1564 check_if_can_unify_nv(string(X),string(Y)) :- !,check_if_can_unify_atomic(X,Y).
1565 check_if_can_unify_nv(fd(X,T),fd(Y,T)) :- !,check_if_can_unify_atomic(X,Y).
1566 check_if_can_unify_nv(_,_).
1567
1568 check_if_can_unify_atomic(X,Y) :- nonvar(X),nonvar(Y),!,X=Y.
1569 check_if_can_unify_atomic(_,_).
1570
1571 equal_object_custom_explicit_set(Obj,Y,WF) :-
1572 (var(Y) -> Y = Obj
1573 ? ; (is_custom_explicit_set_nonvar(Y) -> equal_explicit_sets_wf(Obj,Y,WF)
1574 ; (Y=[] -> is_empty_explicit_set_wf(Obj,WF)
1575 ? ; Y=[H|T] -> equal_custom_explicit_set_cons_wf(Obj,H,T,WF)
1576 ; add_internal_error('Illegal set: ',equal_object_custom_explicit_set(Obj,Y,WF)),fail
1577 )
1578 )).
1579
1580 equal_custom_explicit_set_cons_wf(CS,H,T,_WF) :- CS \= avl_set(_),
1581 var(H),var(T), % TO DO: should we move this treatment below ? to equal_cons_lwf
1582 % YES, I THINK WE CAN DELETE THIS NOW for avl_sets; but not yet for global_set,...
1583 % print_term_summary(equal_custom_explicit_set_cons(CS,H,T)),nl, (debug_mode(on) -> trace ; true),
1584 unbound_variable(H),
1585 unbound_variable_for_cons(T),
1586 !,
1587 remove_minimum_element_custom_set(CS,Min,NewCS),
1588 (H,T) = (Min,NewCS).
1589 equal_custom_explicit_set_cons_wf(avl_set(AVL),H,T,_WF) :- var(H),
1590 is_unbound_ordered_list_skeleton(H,T),!, % TO DO: provide this also for global_set(_)
1591 % below we check if H can be removed from AVL and remove it
1592 remove_minimal_elements([H|T],avl_set(AVL),SkeletonToUnify),
1593 [H|T] = SkeletonToUnify.
1594 equal_custom_explicit_set_cons_wf(Obj,H,T,WF) :-
1595 ? equal_cons_lwf(Obj,H,T,2,WF).
1596 %equal_cons_wf(Obj,H,T,WF). % equal_cons_wf causes issues to tests 799, (but not anymore 1751, 1642, 1708)
1597
1598
1599 :- block equal_fields_wf(-,-,?).
1600 equal_fields_wf([],[],_).
1601 equal_fields_wf([field(Name1,V1)|T1],[field(Name2,V2)|T2],WF) :-
1602 check_field_name_compatibility(Name1,Name2,equal_fields_wf),
1603 % TODO: check check_if_can_unify applied to T1/T2?
1604 ? equal_object_wf(V1,V2,field,WF),
1605 ? equal_fields_wf(T1,T2,WF).
1606
1607
1608 % is just like equal_cons, but H and T are guaranteed by the caller to be free
1609 % this just gives one next element of the set; can be used to iterate over sets.
1610 get_next_element(R,H,T) :- var(R),!,R=[H|T].
1611 get_next_element([H1|T1],H,T) :- !,(H1,T1)=(H,T).
1612 get_next_element(R,H,T) :- equal_cons(R,H,T).
1613
1614
1615 equal_cons_wf(R,H,T,WF) :- WF == no_wf_available,!, equal_cons_lwf(R,H,T,2,WF).
1616 equal_cons_wf(R,H,T,WF) :-
1617 %get_cardinality_wait_flag(R,equal_cons_wf,WF,LWF),
1618 %get_binary_choice_wait_flag(equal_cons_wf,WF,LWF), %old version
1619 LWF = lwf_card(R,equal_cons_wf,WF), % will be instantiated by instantiate_lwf
1620 ? equal_cons_lwf(R,H,T,LWF,WF).
1621
1622 % a deterministic version; will never instantiate non-deterministically:
1623 % probably better to use equal_cons_wf if possible
1624 %equal_cons_det(R,H,T) :- equal_cons_lwf4(R,H,T,_).
1625
1626 equal_cons(R,H,T) :-
1627 ? equal_cons_lwf(R,H,T,2,no_wf_available). %lwf_first(2)).
1628
1629 :- block blocking_equal_cons_lwf(-,?,?,?,?).
1630 ?blocking_equal_cons_lwf(E,H,T,LWF,WF) :- equal_cons_lwf(E,H,T,LWF,WF).
1631
1632 %equal_cons_lwf4(R,H,T,LWF) :- equal_cons_lwf(R,H,T,LWF,no_wf_available).
1633
1634 ?equal_cons_lwf(R,H,T,_,_) :- var(R),!,add_new_el(T,H,R).
1635 equal_cons_lwf([HR|TR],H,T,_,WF) :- ground_value(H), %print(delete_exact(H,[HR|TR])),nl,
1636 try_quick_delete_exact_member([HR|TR],H,Rest), % try and see if we can find an exact member in the list
1637 % adds quadratic complexity if TR is a list; TODO: maybe do a sort
1638 !,
1639 %equal_object(Rest,T,equal_cons_lwf_1).
1640 ? equal_object_wf(Rest,T,equal_cons_lwf_1,WF).
1641 ?equal_cons_lwf([HR|TR],H,T,LWF,WF) :- !, equal_cons_cons(HR,TR,H,T,LWF,WF).
1642 equal_cons_lwf(avl_set(AVL),H,T,LWF,WF) :- !,
1643 (is_one_element_custom_set(avl_set(AVL),El)
1644 ? -> empty_set(T), % was T=[], but T could be an empty closure !
1645 ? equal_object_wf(El,H,equal_cons_lwf_2,WF)
1646 ; T==[] -> fail % we have a one element set and AVL is not
1647 ; element_can_be_added_or_removed_to_avl(H) ->
1648 remove_element_from_explicit_set(avl_set(AVL),H,AR),
1649 ? equal_object_wf(AR,T,equal_cons_lwf_3,WF)
1650 ; nonvar(T),T=[H2|T2],element_can_be_added_or_removed_to_avl(H2) ->
1651 remove_element_from_explicit_set(avl_set(AVL),H2,AR),
1652 ? equal_object_wf(AR,[H|T2],equal_cons_lwf_4,WF)
1653 % TO DO: move all such H2 to the front ??
1654 % Common pattern for function application patterns f(a) = 1 & f(b) = 2 & f = AVL
1655 % We have f = [(a,1),(b,2)|_] to be unified with an avl_set
1656 ; at_most_one_match_possible(H,AVL,Pairs) -> Pairs=[H2], % unification could fail if no match found
1657 % this optimisation is redundant wrt definitely_not_in_list optimisation below; check test 1716
1658 % but it has better performance for large sets, e.g., when unifying with a large sequence skeleton
1659 % TODO: it could be useful even if there are more than one matches??
1660 ? equal_object_wf(H,H2,WF),
1661 % element_can_be_added_or_removed_to_avl not checked !
1662 % we may need to call another predicate to remove, which only checks index
1663 % or at_most_one_match_possible should remove the element itself
1664 remove_element_from_explicit_set(avl_set(AVL),H2,AR), % print(removed_from_avl_by_equal_cons(H)),nl,
1665 ? equal_object_wf(AR,T,equal_cons_lwf_3,WF) %%
1666 ; expand_custom_set_wf(avl_set(AVL),ES,equal_cons_lwf,WF), % length(ES,LenES),print(expanded(LenES,T)),nl,
1667 % before attempting unification quickly look if lengths are compatible:
1668 quick_check_length_compatible(ES,[H|T]), % not really sure this is worth it: we have propagate_card in equal_cons_cons below
1669 %we could do the following: (nonvar(LWF),LWF=lwf_card(_,_,WF) -> quick_propagation_element_information(avl_set(AVL),H,WF,NS) ; true) % we could also do it for T, but both H/T can cause issues with free_var detection
1670 equal_cons_perf_message(AVL,H,T,WF),
1671 ? equal_cons_lwf(ES,H,T,LWF,WF) ).
1672 equal_cons_lwf(C,H,T,LWF,WF) :-
1673 is_interval_closure_or_integerset(C,Low,Up),
1674 (T==[] -> true ; finite_bound(Low), finite_bound(Up)),
1675 !,
1676 ? equal_cons_interval(H,T,Low,Up,LWF,WF).
1677 equal_cons_lwf(closure(P,Ty,B),H,T,LWF,WF) :- !,
1678 ? equal_cons_closure(P,Ty,B,H,T,LWF,WF).
1679 equal_cons_lwf(freetype(ID),H,T,LWF,WF) :- !, expand_custom_set_wf(freetype(ID),ES,equal_cons_lwf,WF),
1680 blocking_equal_cons_lwf(ES,H,T,LWF,WF).
1681 ?equal_cons_lwf(global_set(G),H,T,LWF,WF) :- equal_cons_global_set(G,H,T,LWF,WF).
1682
1683
1684 :- use_module(probsrc(avl_tools),[avl_height_less_than/2]).
1685 :- use_module(performance_messages,[perf_format_wf/3]).
1686 equal_cons_perf_message(AVL,H,T,WF) :- preference(performance_monitoring_on,true),
1687 \+ avl_height_less_than(AVL,5),
1688 \+ is_unbound_ordered_list_skeleton(H,T), % otherwise H will be set to minimum of AVL deterministically
1689 !,
1690 translate:translate_bvalue(avl_set(AVL),AS),
1691 translate:translate_bvalue([H|T],HTS),
1692 perf_format_wf('Expanding avl_set for set-unification~n ~w~n =~n ~w~n',[AS,HTS],WF).
1693 equal_cons_perf_message(_,_,_,_).
1694
1695 equal_cons_closure(P,Ty,B,_H,T,_LWF,_WF) :- nonvar(T),
1696 is_definitely_finite(T), % move earlier; is_infinite_closure can perform expansions, e.g., for nested closures
1697 is_infinite_closure(P,Ty,B),
1698 !,
1699 fail. % an infinite set cannot be equal to a finite one.
1700 equal_cons_closure(Par,Types,B,H,T,LWF,WF) :-
1701 % used to be expand_custom_set_wf(closure(Par,Types,B),ES,equal_cons_closure,WF) which calls:
1702 expand_closure_to_list(Par,Types,B,ES,Done,equal_cons_closure,WF),
1703 ? lazy_check_elements_of_closure([H|T],Done, Par,Types,B,WF), % relevant for test 2466
1704 % the lazy check in custom_explicit_sets does not trigger, as we cannot unify [H|T] with ES (unlike in equal_expansions3)
1705 % because we do not know if [H|T] is ordered
1706 blocking_equal_cons_lwf(ES,H,T,LWF,WF).
1707
1708 is_definitely_finite(Var) :- var(Var),!,fail.
1709 is_definitely_finite([]).
1710 is_definitely_finite([_|T]) :- is_definitely_finite(T).
1711 is_definitely_finite(avl_set(_)).
1712
1713 %get_wf_from_lwf(LWF,WF) :- % TO DO: a cleaner, less hacky version; passing WF around if possible
1714 % (nonvar(LWF),LWF=lwf_card(_,_,WF1) -> WF=WF1 ; WF = no_wf_available).
1715
1716 finite_bound(I) :- (var(I) -> true /* inf would be created straightaway */ ; number(I)).
1717
1718 % Purpose: treat some specific closures better; e.g., interval closures and constraint a..b = {1,y,5,x,4} or a..b = {x} & x:100..1002
1719 equal_cons_interval(H,T,Low,Up,_LWF,_WF) :- T==[],!, % Low..Up = {H} -> Low=H & Up=H
1720 % unification will fail if Low or Up are not numbers (inf)
1721 (int(Low),int(Up)) = (H,H).
1722 %equal_cons_interval(_H,_T,Low,Up,_LWF,WF) :- (nonvar(Low),\+ number(Low) ; nonvar(Up),\+ number(Up)),!,
1723 % gen_enum_warning_wf('OPEN INTERVAL',Low:Up,'cannot expand',trigger_throw(equal_cons_interval),WF),
1724 % % we could try and instantiate T to an infinite closure
1725 % fail.
1726 equal_cons_interval(H,T,Low,Up,LWF,WF) :-
1727 (number(Low),number(Up) -> true % we can expand interval fully
1728 ; propagate_in_interval([H|T],int(Low),int(Up),0)),
1729 expand_interval_closure_to_avl(Low,Up,ES),
1730 ? blocking_equal_cons_lwf(ES,H,T,LWF,WF).
1731
1732 :- block propagate_in_interval(-,?,?,?).
1733 propagate_in_interval([],Low,Up,Sze) :-
1734 ? (Sze > 0 -> S1 is Sze-1, int_plus(Low,int(S1),Up) ; true). % Test should always be true
1735 propagate_in_interval([H|T],Low,Up,Sze) :-
1736 in_nat_range(H,Low,Up), % without enumeration
1737 S1 is Sze+1,
1738 ? propagate_in_interval(T,Low,Up,S1).
1739 propagate_in_interval(avl_set(_A),_Low,_Up,_). % TO DO: propagate if Low/Up not instantiated
1740 propagate_in_interval(closure(_,_,_),_,_,_).
1741 propagate_in_interval(global_set(_),_,_,_).
1742
1743 quick_check_length_compatible([],R) :- !,
1744 (var(R) -> R=[] % can we force R=[] here ??
1745 ; R \= [_|_]). %(R \= [_|_] -> true ; print(incompatible(R)),fail).
1746 quick_check_length_compatible([_|T],R) :-
1747 (var(R) -> true
1748 ; R = [] -> fail
1749 ; R = [_|RT] -> quick_check_length_compatible(T,RT)
1750 ; true).
1751
1752 :- block equal_cons_global_set(-,?,?,?,?).
1753 equal_cons_global_set(G,H,T,LWF,WF) :- is_infinite_global_set(G,_),!,
1754 % for maximal sets we could complement_set([H],global(G),Res),
1755 /* should normally fail, unless T is not a list but contains closure or global set */
1756 test_finite_set_wf(T,Finite,WF), dif(Finite,pred_true),
1757 when((nonvar(Finite);nonvar(LWF)),equal_cons_global_set_warning(LWF,G,H,T,WF)).
1758 % used to be : expand_custom_set(global_set(G),ES), equal_cons_lwf4(ES,H,T,LWF))).
1759 equal_cons_global_set(G,H,T,LWF,WF) :-
1760 %(is_infinite_global_set(G,_) -> test_finite_set_wf(T,Finite,WF), Finite \== pred_true ; true),
1761 expand_custom_set_wf(global_set(G),ES,equal_cons_global_set,WF),
1762 ? equal_cons_lwf(ES,H,T,LWF,WF).
1763
1764
1765 :- block equal_cons_global_set_warning(-,?,?,?,?).
1766 equal_cons_global_set_warning(_,G,H,T,WF) :-
1767 add_new_event_in_error_scope(enumeration_warning(enumerating(G),G,'{}',finite,critical),
1768 print_equal_cons_warning(G,H,T,WF)),
1769 fail. % WITH NEW SEMANTICS OF ENUMERATION WARNING WE SHOULD PROBABLY ALWAYS FAIL HERE !
1770
1771 % THROWING, Span added by add_new_event_in_error_scope
1772 print_equal_cons_warning(G,H,T,WF,THROWING,Span) :-
1773 print('### Enumeration Warning: trying to deconstruct infinite set: '),
1774 translate:print_bvalue(global_set(G)),nl,
1775 print('### Source: '), print(equal_cons_global_set(G,H,T)),nl,
1776 print_throwing_wf(THROWING,unknown_info,Span,WF).
1777
1778 add_new_el(T,H,R) :- var(T),!,R=[H|T].
1779 add_new_el(T,H,R) :- nonvar(T), is_custom_explicit_set_nonvar(T),
1780 add_element_to_explicit_set_wf(T,H,Res,no_wf_available), % will fail for closure/3
1781 !,
1782 Res=R.
1783 add_new_el([HT|TT],H,R) :- !,R=[H,HT|TT].
1784 add_new_el([],H,R) :- !, R=[H].
1785 add_new_el(Set,H,R) :- expand_custom_set_to_list(Set,ESet,_,add_new_el),
1786 add_new_el(ESet,H,R).
1787
1788 %delete_exact_member(V,_,_) :- var(V),!,fail.
1789 %delete_exact_member([H|T],El,Res) :-
1790 % (H==El -> Res=T
1791 % ; Res=[H|TR], delete_exact_member(T,El,TR)).
1792
1793 % a version of delete_exact_member with a cut off
1794 % avoids spending useless time traversing large non-ground lists
1795 % for a list consisting only of non-ground elements delete_exact_member will never succeed !
1796 % this occurs e.g., when a large list skeleton generated by e.g. size_of_sequence is unified with an avl_set
1797 % (e.g., m = READ_PGM_IMAGE_FILE("pgm_files/yuv_1.pgm") & %i.(i:1..550| m(i) /|\ 725))
1798 try_quick_delete_exact_member(List,El,Result) :-
1799 try_quick_delete_exact_member(List,1,El,Result).
1800 try_quick_delete_exact_member(V,_,_,_) :- var(V),!,fail.
1801 try_quick_delete_exact_member([H|T],Sz,El,Res) :-
1802 (H==El -> Res=T
1803 ; Res=[H|TR],
1804 (Sz>50
1805 -> ground_value(H), % after a certain limit we only proceed if there are ground elements
1806 % we could also check: preferences:preference(use_smt_mode,true)
1807 Sz=30 % check again in 20 steps
1808 ; Sz1 is Sz+1),
1809 try_quick_delete_exact_member(T,Sz1,El,TR)).
1810
1811
1812 %unbound_variable(V) :- !, unbound_variable_check(V).
1813 unbound_variable(V) :- free_var(V), frozen(V,Residue),
1814 %unbound_residue(Residue,V).
1815 (unbound_residue(Residue,V) -> true ; %print(bound_var(V,Residue)),nl,trace,unbound_residue(Residue,V),
1816 fail).
1817 unbound_residue((A,B),V) :- !,unbound_residue(A,V), unbound_residue(B,V).
1818 unbound_residue(true,_) :- !.
1819 unbound_residue(Module:Call,Variable) :- unbound_residue_m(Module,Call,Variable).
1820
1821 unbound_residue_m(external_functions,to_string_aux(GrV,_Val,Str),V) :- !, %GrV checks for groundness of _Val
1822 V==GrV,unbound_variable(Str).
1823 unbound_residue_m(external_functions,format_to_string_aux(GrV,_Format,_Val,Str),V) :- !,
1824 %GrV checks for groundness of _Val
1825 V==GrV,unbound_variable(Str).
1826 % TO DO: we need to detect other functions (e.g., B function application,...) which result in values which are not used
1827 %unbound_residue_m(_,ground_value_check(V1,V2),V) :- !, V1==V, unbound_variable(V2). % V1==V not necessary?! cycle check
1828 unbound_residue_m(Module,Residue,Var) :- unbound_basic_residue(Module,Residue,Var).
1829
1830 %unbound_basic_residue(_,true,_).
1831 unbound_basic_residue(_,ground_value_check(V1,V2),Var) :- !, Var==V1, % == check to prevent loops
1832 % in particularly in SWI, where residues also contain calls where Var==V2; e.g., test 639
1833 unbound_variable(V2).
1834 unbound_basic_residue(_,ground_value_check_aux(V1,V2,V3),Var) :- !, (Var==V1 -> true ; Var==V2), unbound_variable(V3).
1835 % we could also treat ground_value_opt_check
1836 unbound_basic_residue(b_interpreter_components,observe_variable_block(_,_,_,_,_),_). % when in -p TRACE_INFO TRUE mode
1837 unbound_basic_residue(b_interpreter_components,observe_variable1_block(_,_,_,_),_). % (provide_trace_information pref)
1838 unbound_basic_residue(kernel_objects,mark_as_to_be_computed(_),_).
1839 unbound_basic_residue(custom_explicit_sets,block_copy_waitflag_store(_,_,_,_,_),_). % this stems from checking the domain predicate of function application check_element_of_function_closure
1840 %unbound_basic_residue(kernel_objects,ordered_value(V,_),_). % <-- TO DO: treat this and then assign minimal value !
1841 %unbound_basic_residue(kernel_ordering,ordered_value2(V,_),_).
1842 % b_tighter_enumerate_sorted_value_and_continue
1843 %unbound_basic_residue(M,U,Var) :- print(bound_basic_residue(M,U,Var)),nl,fail.
1844
1845 % check if we have an unbound list_skeleton with optionally just ordering constraints
1846 % check if it is safe to assign H minimal value
1847 % TO DO: also accept if all elements have the same co-routines constraints attached (e.g., because of +-> check)
1848 is_unbound_ordered_list_skeleton(H,T) :-
1849 is_unbound_ordered_list_skeleton3(H,T,[allow_ordered_values]).
1850 is_unbound_list_skeleton(H,T) :-
1851 ? is_unbound_ordered_list_skeleton3(H,T,[]).
1852
1853 is_unbound_ordered_list_skeleton(H,T,Ordered) :-
1854 is_unbound_ordered_list_skeleton3(H,T,List),
1855 % if List gets instantiated it will become [allow_ordered_values|_]
1856 (var(List) -> Ordered=unordered ; Ordered=ordered).
1857
1858 is_unbound_ordered_list_skeleton3(H,T,Options) :-
1859 free_var(H),
1860 (var(T) -> unbound_variable(H),
1861 ? unbound_ordered_tail(T,Options) % or ? unbound_variable_for_cons(T)
1862 ; T = [H2|T2],
1863 unbound_variable_or_ordered(H,'$$',H2,T,Options),
1864 ? is_unbound_ordered_list_skeleton5(H,H2,T2,[H|T],Options)).
1865 is_unbound_ordered_list_skeleton5(Prev,H,T,All,Options) :-
1866 free_var(H),
1867 (var(T) -> unbound_variable_or_ordered(H,Prev,'$$',All,Options),
1868 ? unbound_ordered_tail(T,Options)
1869 ; T==[] -> unbound_variable_or_ordered(H,Prev,'$$',All,Options)
1870 ; T = [H2|T2],
1871 unbound_variable_or_ordered(H,Prev,H2,All,Options),
1872 ? is_unbound_ordered_list_skeleton5(H,H2,T2,All,Options)).
1873
1874 % utility: if is_unbound_ordered_list_skeleton is true, extract for every element in the list one minimal element from CS
1875 remove_minimal_elements(T,CS,Res) :- var(T),!,Res=CS.
1876 remove_minimal_elements([],CS,Res) :- !, empty_set(CS),Res=[].
1877 remove_minimal_elements([_H|T],CS,[Min|Rest]) :-
1878 remove_minimum_element_custom_set(CS,Min,NewCS), % _H will be unified in one go with Min later
1879 remove_minimal_elements(T,NewCS,Rest).
1880
1881 % it is unbound or can be assigned the minimal value of a set
1882 unbound_variable_or_ordered(Var,Prev,Nxt,All,Options) :-
1883 free_var(Var), frozen(Var,Residue),
1884 unbound_ord_residue_aux(Residue,Prev,Var,Nxt,All,Options).
1885 unbound_ord_residue_aux(true,_Prev,_,_Nxt,_All,_Options).
1886 unbound_ord_residue_aux((A,B),Prev,V,Nxt,All,Options) :- !,
1887 unbound_ord_residue_aux(A,Prev,V,Nxt,All,Options),
1888 unbound_ord_residue_aux(B,Prev,V,Nxt,All,Options).
1889 unbound_ord_residue_aux(Module:Call,Prev,V,Nxt,All,Options) :-
1890 unbound_ord_residue_m(Module,Call,Prev,V,Nxt,All,Options).
1891 unbound_ord_residue_m(Module,Residue,_,Var,_,_,_) :- unbound_basic_residue(Module,Residue,Var),!.
1892 unbound_ord_residue_m(bsets_clp,check_index(V2,_),_,V,_,_,_) :- !,
1893 V2==V. % assumes all index elements in the sequence are being checked; this is the case
1894 unbound_ord_residue_m(kernel_objects,ordered_value(A,B),Prev,V,Nxt,_,Options) :- !,
1895 % there is also a bsets_clp version
1896 ((A,B)==(Prev,V) ; (A,B)==(V,Nxt)),
1897 (member(allow_ordered_values,Options) -> true).
1898 unbound_ord_residue_m(kernel_objects,not_equal_object_wf(A,B,_),_,V,_,All,_) :- !,
1899 % check for all diff constraint; e.g., set up by not_element_of_wf(H,SoFar,WF) in cardinality_as_int2;
1900 % anyway: all elements in a list must be different
1901 (A==V -> exact_member_in_skel(B,All) ; B==V, exact_member_in_skel(A,All)).
1902 unbound_ord_residue_m(kernel_objects,not_element_of_wf1(Set,Val,_),_,V,_,All,_) :- !, Val==V,
1903 open_tail(All,Tail), Tail==Set. % ditto, again just stating that Values are distinct in the list
1904 %unbound_ord_residue_m(A,Prev,V,Nxt,All) :-
1905 % print(unbound_ord_residue_aux(A,Prev,V,Nxt,All)),nl,fail.
1906
1907 % get tail of an open list:
1908 open_tail(X,Res) :- var(X),!,Res=X.
1909 open_tail([_|T],Res) :- open_tail(T,Res).
1910 % exact member in a possibly open list:
1911 exact_member_in_skel(X,List) :- nonvar(List), List=[Y|T],
1912 (X==Y -> true ; exact_member_in_skel(X,T)).
1913
1914
1915 unbound_ordered_tail(T,Options) :- free_var(T), frozen(T,Residue),
1916 ? unbound_ordered_tail_aux(Residue,T,Options).
1917 unbound_ordered_tail_aux(true,_,_).
1918 unbound_ordered_tail_aux(kernel_objects:propagate_card(A,B,_Eq),V,_) :-
1919 (V==A ; V==B). % just specifies A and B have same cardinality
1920 unbound_ordered_tail_aux(prolog:dif(X,Y),V,_) :- (V==X,Y==[] ; V==Y,X==[]).
1921 unbound_ordered_tail_aux(dif(X,Y),V,_) :- (V==X,Y==[] ; V==Y,X==[]).
1922 unbound_ordered_tail_aux(kernel_objects:lazy_ordered_value(W,_),T,Options) :-
1923 W==T, %% difference with just_cardinality_constraints
1924 (member(allow_ordered_values,Options)->true).
1925 unbound_ordered_tail_aux(bsets_clp:propagate_empty_set(_,_),_,_).
1926 unbound_ordered_tail_aux(kernel_objects:prop_non_empty(_,W,_),T,_) :- W==T.
1927 unbound_ordered_tail_aux(kernel_objects:cardinality_as_int2(W,_,_,_,_,_),T,_) :- W==T.
1928 unbound_ordered_tail_aux(kernel_objects:cardinality3(W,_,_),Var,_) :- W==Var.
1929 unbound_ordered_tail_aux((A,B),T,Options) :-
1930 ? (unbound_ordered_tail_aux(A,T,Options) -> true ; unbound_ordered_tail_aux(B,T,Options)).
1931 % TODO: call unbound_basic_residue
1932
1933 % co-routine used to mark certain values as to be computed; avoid instantiating them
1934 :- block mark_as_to_be_computed(-).
1935 mark_as_to_be_computed(_).
1936
1937 is_marked_to_be_computed(X) :- var(X),frozen(X,G), %nl,print(check_frozen(X,G)),nl,
1938 marked_aux(G,X).
1939 marked_aux((A,B),V) :- (marked_aux(A,V) -> true ; marked_aux(B,V)).
1940 marked_aux(kernel_objects:mark_as_to_be_computed(M),V) :- V==M.
1941
1942 :- public unbound_variable_check/1.
1943 % currently not used; but can be useful for debugging
1944 unbound_variable_check(V) :- free_var(V), % check no bool_pred attributes
1945 (frozen(V,Goal), Goal\=true
1946 -> nl,print('### WARNING: goal attached to unbound variable expression'),nl,print(V:Goal),nl, %trace,
1947 fail
1948 ; true).
1949
1950 % check if a variable is unbound or only dif(_,[]) attached; we do not need to check for bool_pred attributes as we have a set
1951 unbound_variable_for_cons(Set) :- var(Set),frozen(Set,F),
1952 \+ contains_problematic_coroutine_for_cons(F,Set). % for equal cons we can allow more co-routines than when we want to freely determine a value in enumeration; the head of the list is unbound
1953
1954 % prolog:dif(X,Y) with Y == [] is ok
1955 contains_problematic_coroutine_for_cons(custom_explicit_sets:element_of_avl_set_wf3(Var,_,_,_,_),V) :- V==Var. % occurs in test 1270
1956 contains_problematic_coroutine_for_cons(kernel_objects:non_free(_),_). % has been marked as non-free
1957 contains_problematic_coroutine_for_cons(kernel_objects:mark_as_to_be_computed(_),_). % has been marked to be computed by closure expansion
1958 % contains_problematic_coroutine_for_cons(bsets_clp:range_wf(_,Var,_),V) :- V==Var. % will be computed by range, range does not propagate well backwards (does it?)
1959 % contains_problematic_coroutine_for_cons(custom_explicit_sets:expand_custom_set_to_list3(_From,Var,_Done,_Source,_WF),V) :- V==Var. % this can propagate backwards
1960 contains_problematic_coroutine_for_cons((A,B),Var) :-
1961 ? (contains_problematic_coroutine_for_cons(A,Var) -> true
1962 ; contains_problematic_coroutine_for_cons(B,Var)).
1963 %contains_problematic_coroutine_for_cons(M:Call,Var) :-
1964 % functor(Call,F,N), format('~w:~w/~w for ~w~n',[M,F,N,Var]),fail.
1965
1966 unbound_variable_for_card(Set) :- % when do we allow card to instantiate a list skeleton
1967 preference(data_validation_mode,true),
1968 !,
1969 unbound_variable(Set).
1970 unbound_variable_for_card(Set) :- unbound_variable_for_cons(Set).
1971
1972
1973
1974 % handling equal_object for [HR|TR] = [H|T]
1975
1976 equal_cons_cons(HR,TR,H,T,_LWF,WF) :- TR==[],!,
1977 ? empty_set_wf(T,WF), % was T=[], but T could be an empty closure
1978 ? equal_object_wf(HR,H,equal_cons_cons_1,WF).
1979 equal_cons_cons(HR,TR,H,T,_LWF,WF) :- T==[],!,
1980 empty_set_wf(TR,WF), % was TR=[], but TR could be an empty closure
1981 ? equal_object_wf(HR,H,equal_cons_cons_2,WF).
1982 equal_cons_cons(HR,TR,H,T,_LWF,WF) :-
1983 %(is_unbound_list_skeleton(H,T) -> true ; is_unbound_list_skeleton(HR,TR)),
1984 (is_unbound_ordered_list_skeleton(H,T,Ordered)
1985 -> (Ordered = unordered -> true
1986 ; is_unbound_ordered_list_skeleton(HR,TR))
1987 ? ; is_unbound_list_skeleton(HR,TR)),
1988 % if both are ordered: then the first elements must be equal,
1989 % if one or both are not ordered: the unification HR=H is only ok if the other is unbound
1990 % beware of tests 1078 and 1101 when allowing ordered lists
1991 !,
1992 % HR is variable: no constraints/co-routines attached to it; no other element in TR is constrained either
1993 %(HR,TR)=(H,T). %fails, e.g., if TR=[] and T= empty closure !
1994 % at the moment : unbound_check does not allow ordered set skeletons
1995 HR=H, equal_object_wf(TR,T,equal_cons_cons3,WF).
1996 equal_cons_cons(HR,TR,H,T,LWF,WF) :-
1997 % here we use LWF for the first time
1998 %(number(LWF) -> LWF2=LWF ; true),
1999 equality_objects_lwf(HR,H,EqRes,LWF2,WF),
2000 ? equal_cons1(EqRes,HR,TR,H,T,LWF,LWF2,WF).
2001
2002 equal_cons1(EqRes,_HR,TR,_H,T,_LWF,_LWF2,WF) :- EqRes == pred_true,!,
2003 equal_object_wf(TR,T,equal_cons1,WF).
2004 equal_cons1(EqRes,HR,TR,H,T,_LWF,_LWF2,WF) :- var(EqRes),
2005 (definitely_not_in_list(TR,H)
2006 ; definitely_not_in_list(T,HR) % this can induce a quadratic complexity for large list skeletons
2007 ),
2008 !,
2009 EqRes=pred_true, % H cannot appear in TR; it must match HR
2010 ? equal_object_wf(TR,T,equal_cons1,WF).
2011 equal_cons1(EqRes,HR,TR,H,T,LWF,LWF2,WF) :-
2012 ? instantiate_lwf(LWF,LWF2), % instantiate later to ensure var(EqRes) can hold if LWF already bound
2013 %print(eq_cons_cons_lwf2(HR,H,EqRes,LWF2)),nl,
2014 ? equal_cons2(EqRes,HR,TR,H,T,LWF2,WF),
2015 propagate_card(TR,T,EqRes). % prevents tail recursion; move earlier/remove if EqRes nonvar?
2016 %,instantiate_lwf(LWF,LWF2) % we could instantiate LWF2 later here to give propagate_card a chance to figure out value of EqRes first ? this slows down examples/B/Alstom/CompilatonProject/Regles/Rule_DB_Route_0001ori.his
2017
2018
2019 % this will instantiate LWF if it has not yet been computed
2020 % (Idea: get_cardinality_wait_flag can be expensive; only do it if we really need the wait_flag)
2021 instantiate_lwf(LWF,R) :- var(LWF),!,R=LWF.
2022 instantiate_lwf(lwf_card(Set,Info,WF),LWF) :- !, % TO DO: in prob_data_validation_mode: increase or get_last_waitflag
2023 get_cardinality_wait_flag(Set,Info,WF,LWF).
2024 %% get_cardinality_powset_wait_flag(Set,Info,WF,_,LWF).
2025 %instantiate_lwf(lwf_first(X),R) :- !, R=X.
2026 instantiate_lwf(LWF,LWF).
2027
2028 :- block equal_cons2(-,?,?,?,?,?,?).
2029 ?equal_cons2(pred_true,_HR,TR,_H,T,_,WF) :- equal_object_wf(TR,T,equal_cons2,WF).
2030 equal_cons2(pred_false,HR,TR, H,T,LWF,WF) :-
2031 ? equal_cons_lwf(T,HR,TR2,LWF,WF), % look for HR inside T
2032 T2=TR2,
2033 ? equal_cons_lwf(TR,H,T2,LWF,WF). %, was instead of T2=TR2: equal_object(TR2,T2).
2034
2035 :- use_module(kernel_tools,[cannot_match/2]).
2036 % TO DO: investigate whether we should not use kernel_equality or at least a blocking version
2037 definitely_not_in_list(V,_) :- var(V),!,fail.
2038 definitely_not_in_list([],_).
2039 definitely_not_in_list([H|T],X) :- cannot_match(H,X), definitely_not_in_list(T,X).
2040
2041
2042 :- block propagate_card(-,-,-).
2043 propagate_card(X,Y,EqRes) :-
2044 (nonvar(EqRes) -> true % we no longer need to propagate; equal_cons will traverse
2045 ; nonvar(X) -> propagate_card2(X,Y,EqRes)
2046 ; propagate_card2(Y,X,EqRes)).
2047 propagate_card2([],Y,_) :- !,empty_set(Y).
2048 propagate_card2([_|TX],Y,EqRes) :- !,
2049 (var(Y) -> Y= [_|TY], propagate_card(TX,TY,EqRes)
2050 ; Y=[] -> fail
2051 ; Y=[_|TY] -> propagate_card(TX,TY,EqRes)
2052 ; true
2053 ). % TO DO: add more propagation
2054 propagate_card2(_,_,_).
2055
2056 %same_card_and_expand(A,B,ExpA,ExpB) :- .... + reorder ??
2057
2058
2059 % CODE FOR CHECKING FOR TYPE ERRORS AT RUNTIME
2060
2061 % explicitly check for type errors between two terms
2062 % can be useful for some external functions were users provide predicates/values at runtime
2063 % should be called before attempting e.g., equal_object
2064 check_values_have_same_type(TermA,TermB,_Pos) :- (var(TermA) ; var(TermB)),!.
2065 check_values_have_same_type((A1,A2),(B1,B2),Pos) :- !,
2066 check_values_have_same_type(A1,B1,Pos),
2067 check_values_have_same_type(A2,B2,Pos).
2068 % TODO: better checking for fields
2069 check_values_have_same_type(TermA,TermB,Pos) :- type_error(TermA,TermB),!,
2070 add_error(kernel_objects,'Type error, values are incompatible:',(TermA,TermB),Pos).
2071 check_values_have_same_type(_,_,_).
2072
2073 % the following is used by some kernel predicates if(environ(prob_safe_mode,true)).
2074 :- assert_must_succeed(type_error([],int(1))).
2075 :- assert_must_succeed(type_error((int(1),int(2)),[pred_true])).
2076 :- assert_must_succeed(type_error(string('Name'),global_set('Name'))).
2077 :- assert_must_fail((type_error([],[_]))).
2078 type_error(pred_true,Y) :- \+ bool_val(Y).
2079 type_error(pred_false,Y) :- \+ bool_val(Y).
2080 type_error([],Y) :- no_set_type_error(Y).
2081 type_error([_|_],Y) :- no_set_type_error(Y).
2082 %type_error(X,Y) :- is_custom_explicit_set(X,type_error1), no_set_type_error(Y).
2083 type_error(avl_set(A),Y) :- illegal_avl_set(A) -> true ; no_set_type_error(Y).
2084 type_error(global_set(_),Y) :- no_set_type_error(Y).
2085 type_error(freetype(_),Y) :- no_set_type_error(Y).
2086 type_error(closure(P,_,B),Y) :-
2087 (var(P) -> true ; var(B) -> true ; P=[] -> true ; P=[P1|_], var(P1) -> true ; no_set_type_error(Y)).
2088 type_error((_,_),Y) :- Y \= (_,_).
2089 type_error(fd(_,T1),Y) :- (Y= fd(_,T2) -> nonvar(T1),nonvar(T2),T1 \=T2 ; true).
2090 type_error(int(_),Y) :- Y\= int(_).
2091 type_error(term(_),Y) :- Y\= term(_).
2092 type_error(rec(FX),Y) :- (Y = rec(FY) -> type_error_fields(FX,FY,'$') ; true).
2093 type_error(freeval(ID,_,_),Y) :- Y \= freeval(ID,_,_).
2094 type_error(string(_),Y) :- Y \= string(_).
2095 % Should raise type error: kernel_objects:union([int(1)],[[]],R).
2096
2097 bool_val(pred_true).
2098 bool_val(pred_false).
2099
2100 type_error_fields(X,Y,_) :- (var(X);var(Y)),!,fail.
2101 type_error_fields([],[_|_],_).
2102 type_error_fields([_|_],[],_).
2103 type_error_fields([F1|T1],[F2|T2],PrevField) :-
2104 nonvar(F1),nonvar(F2),F1=field(Name1,_),F2=field(Name2,_),
2105 nonvar(Name1),
2106 (Name1 @=< PrevField -> true % not sorted
2107 ; Name1 \= Name2 -> true % other record has different field
2108 ; type_error_fields(T1,T2,Name1)).
2109
2110 :- public illegal_value/1.
2111 illegal_value(X) :- var(X),!,fail.
2112 illegal_value(avl_set(A)) :- illegal_avl_set(A).
2113 illegal_value([H|T]) :- illegal_value(H) -> true ; illegal_value(T).
2114 illegal_value(global_set(G)) :- \+ ground(G).
2115 illegal_value(N) :- number(N).
2116 illegal_value((A,B)) :- illegal_value(A) -> true ; illegal_value(B).
2117 % TO DO: complete this
2118
2119 illegal_avl_set(X) :- var(X),!.
2120 illegal_avl_set(empty).
2121 illegal_avl_set(X) :- (X=node(_,_,_,_,_) -> \+ ground(X) ; true).
2122
2123 no_set_type_error(int(_)).
2124 no_set_type_error(fd(_,_)).
2125 no_set_type_error((_,_)).
2126 no_set_type_error(rec(_)).
2127 no_set_type_error(pred_true /* bool_true */).
2128 no_set_type_error(pred_false /* bool_false */).
2129 no_set_type_error(term(_)).
2130 no_set_type_error(string(_)).
2131 no_set_type_error(freeval(_,_,_)).
2132 no_set_type_error(avl_set(A)) :- illegal_avl_set(A).
2133 %% END OF TYPE CHECKING CODE
2134
2135
2136 :- assert_must_succeed(not_equal_object(term(a),term(b))).
2137 :- assert_must_succeed(not_equal_object(string('a'),string('b'))).
2138 :- assert_must_succeed(not_equal_object(int(1),int(2))).
2139 :- assert_must_succeed(not_equal_object(rec([field(a,int(1))]),rec([field(a,int(2))]))).
2140 :- assert_must_succeed(not_equal_object(rec([field(a,int(1)),field(b,int(2))]),
2141 rec([field(a,int(1)),field(b,int(3))]))).
2142 :- assert_must_fail(not_equal_object(rec([field(a,int(1))]),rec([field(a,int(1))]))).
2143 :- assert_must_fail(not_equal_object(rec([field(a,int(1)),field(b,int(2))]),
2144 rec([field(a,int(1)),field(b,int(2))]))).
2145 :- assert_must_fail(not_equal_object(term(msg),int(2))).
2146 :- assert_must_fail(not_equal_object(fd(1,a),term(msg))).
2147 :- assert_must_succeed(not_equal_object(global_set(a),global_set(b))).
2148 :- assert_must_succeed(not_equal_object([term(a),term(b)],[term(a),term(c)])).
2149 :- assert_must_succeed((not_equal_object([(int(1),[Y])],[(int(X),[Z])]),
2150 Y=(term(a),Y2), X=1, Z=(term(a),[]), Y2=[int(2)])).
2151 :- assert_must_succeed(not_equal_object((int(1),int(2)),(int(3),int(4)))).
2152 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_equal_object((int(1),int(2)),(int(1),int(4))))).
2153 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_equal_object((int(1),int(4)),(int(3),int(4))))).
2154 :- assert_must_fail(not_equal_object((int(1),int(4)),(int(1),int(4)))).
2155 :- assert_must_succeed(not_equal_object((int(1),string('a')),(int(1),string('b')))).
2156 :- assert_must_fail(not_equal_object((int(1),string('b')),(int(1),string('b')))).
2157 :- assert_must_fail(not_equal_object([(term(a),[])],[(term(a),[])])).
2158 :- assert_must_fail((not_equal_object([(int(1),[Y])],[(int(X),[Z])]),
2159 Y=(term(a),Y2), X=1, Z=(term(a),[]), Y2=[])).
2160 :- assert_must_fail(not_equal_object([int(1),int(2)],[int(2),int(1)])).
2161 :- assert_must_succeed(not_equal_object(term(msg),term(another_msg))).
2162 :- assert_must_succeed(not_equal_object([int(1),int(2)],[int(0),int(4)])).
2163 :- assert_must_fail((sample_closure(C),
2164 not_equal_object(C,[int(1),int(2)]))).
2165 :- assert_must_succeed((sample_closure(C),
2166 not_equal_object(C,[int(1),int(0)]))).
2167 :- assert_must_succeed((sample_closure(C),
2168 not_equal_object(C,global_set('NAT')))).
2169 :- assert_must_fail((not_equal_object(
2170 [[],[fd(1,'Name')],[fd(1,'Name'),fd(2,'Name')],
2171 [fd(1,'Name'),fd(2,'Name'),fd(3,'Name')],[fd(2,'Name')],[fd(3,'Name'),fd(2,'Name')]]
2172 ,[[],[fd(1,'Name')],[fd(1,'Name'),fd(2,'Name')],
2173 [fd(1,'Name'),fd(2,'Name'),fd(3,'Name')],[fd(2,'Name')],[fd(2,'Name'),fd(3,'Name')]])
2174 )).
2175 :- assert_must_fail((not_equal_object(freeval(selfcx,a,int(2)),freeval(selfcx,a,int(2))))).
2176 :- assert_must_succeed((not_equal_object(freeval(selfcx,a,int(2)),freeval(selfcx,a,int(3))))).
2177 :- assert_must_succeed((not_equal_object(freeval(selfcx,a,int(2)),freeval(selfcx,b,int(2))))).
2178 :- assert_must_succeed((not_equal_object(freeval(selfcx,a,int(2)),freeval(selfcx,a,int(3))))).
2179
2180 :- assert_must_succeed((not_equal_object(pred_true /* bool_true */,X), X==pred_false /* bool_false */)).
2181 :- assert_must_succeed((not_equal_object([],X),X=[_|_])).
2182 %:- assert_must_succeed((not_equal_object([],X), nonvar(X),X=[_|_])).
2183 :- assert_must_succeed((not_equal_object(X,[]), X=[_|_])).
2184 :- assert_must_succeed((not_equal_object(X,pred_false /* bool_false */), X==pred_true /* bool_true */)).
2185
2186 :- assert_must_succeed(not_equal_object([_X],[int(1),int(3)])). % Inefficiency example of setlog
2187 :- assert_must_succeed_any(not_equal_object([_X],[int(1)])). % Inefficiency example of setlog
2188 :- assert_must_succeed((not_equal_object([X],[pred_true /* bool_true */]),X==pred_false /* bool_false */)).
2189 :- assert_must_succeed((not_equal_object([pred_true /* bool_true */],[X]),X==pred_false /* bool_false */)).
2190 :- assert_must_succeed((not_equal_object([[X]],[[pred_true /* bool_true */]]),X==pred_false /* bool_false */)).
2191 :- assert_must_succeed((not_equal_object([[pred_true /* bool_true */]],[[X]]),X==pred_false /* bool_false */)).
2192 :- assert_must_succeed((custom_explicit_sets:construct_one_element_custom_set(pred_true /* bool_true */, A), kernel_objects:not_equal_object(A,[X]), X==pred_false /* bool_false */)).
2193 :- assert_must_succeed((custom_explicit_sets:construct_one_element_custom_set(pred_true /* bool_true */,A), kernel_objects:not_equal_object([X],A), X==pred_false /* bool_false */)).
2194 :- assert_must_succeed(exhaustive_kernel_check([commutative],not_equal_object([],[int(3333)]))).
2195 :- assert_must_succeed(exhaustive_kernel_check([commutative],not_equal_object([],[int(2),int(1),int(3)]))).
2196 :- assert_must_succeed(exhaustive_kernel_check([commutative],not_equal_object([int(3)],[int(2),int(1),int(3)]))).
2197 :- assert_must_succeed(exhaustive_kernel_check([commutative],not_equal_object([int(3),int(1),int(4)],[int(2),int(1),int(3)]))).
2198 :- assert_must_succeed(exhaustive_kernel_check([commutative],not_equal_object([int(2),int(1),int(3),int(5)],[int(2),int(1),int(3)]))).
2199 % X in 3..4, kernel_objects:not_equal_object([int(2),int(3)],[int(2),int(X)]), X==4. in clpfd Mode
2200
2201
2202 not_equal_object_wf(X,Y,WF) :-
2203 (var(X)
2204 -> (var(Y)
2205 -> X \== Y,
2206 when((nonvar(X);nonvar(Y);?=(X,Y)), not_equal_object_wf0(X,Y,WF))
2207 ? ; not_equal_object_wf1(Y,X,WF) % invert arguments
2208 )
2209 ? ; not_equal_object_wf1(X,Y,WF)).
2210
2211 %:- block not_equal_object_wf0(-,-,?).
2212 /* TO DO: implement a better _wf version ; use bool_dif if possible */
2213 % block is relevant for tests 1374, 1737
2214 not_equal_object_wf0(X,Y,WF) :-
2215 %(X==Y -> print(not_eq_pruned(X,Y)),nl,fail ; true),
2216 %X\==Y, % could be expensive if X,Y assigned to large term simultaneously (just woken up by when)
2217 ? (var(X) -> X\==Y, not_equal_object_wf1(Y,X,WF)
2218 ; not_equal_object_wf1(X,Y,WF)).
2219
2220 ?not_equal_object_wf1([],R,WF) :- !, not_empty_set_wf(R,WF).
2221 ?not_equal_object_wf1(R,E,WF) :- E==[],!, not_empty_set_wf(R,WF).
2222 ?not_equal_object_wf1(X,Y,WF) :- not_equal_object2_wf(X,Y,WF).
2223
2224 not_equal_object(X,Y) :-
2225 ( nonvar(X) -> not_equal_object2_wf(X,Y,no_wf_available)
2226 ; nonvar(Y) -> not_equal_object2_wf(Y,X,no_wf_available)
2227 ; X\==Y, when((?=(X,Y);nonvar(X);nonvar(Y)), not_equal_object0(X,Y))).
2228
2229 not_equal_object0(X,Y) :- X\==Y,(var(X) -> not_equal_object2_wf(Y,X,no_wf_available)
2230 ; not_equal_object2_wf(X,Y,no_wf_available)).
2231
2232 %not_equal_object2_wf(X,Y,_) :- print(not_equal_object2_wf(X,Y)),nl,fail.
2233 not_equal_object2_wf(pred_true /* bool_true */,R,_) :- !, R=pred_false /* bool_false */.
2234 not_equal_object2_wf(pred_false /* bool_false */,R,_) :- !, R=pred_true /* bool_true */.
2235 ?not_equal_object2_wf(fd(X,Type),R,_) :- !, get_global_type_value(R,Type,Y), % also sets up FD range for Y if R was var
2236 ? neq_fd(X,Y,Type).
2237 ?not_equal_object2_wf(int(X),R,_WF) :- !, R=int(Y), integer_dif(X,Y).
2238 not_equal_object2_wf(string(X),R,_) :- !, R=string(Y), dif(X,Y).
2239 not_equal_object2_wf(term(X),R,WF) :- !, R=term(Y), not_equal_term_wf(X,Y,WF).
2240 not_equal_object2_wf(rec(F1),R,WF) :- !, R=rec(F2),
2241 ? not_equal_fields_wf(F1,F2,WF).
2242 not_equal_object2_wf([],X,WF) :- !, not_empty_set_wf(X,WF).
2243 not_equal_object2_wf((X1,X2),R,WF) :- !, R=(Y1,Y2),
2244 ? not_equal_couple_wf(X1,Y1,X2,Y2,WF).
2245 not_equal_object2_wf(X,Y,WF) :- is_custom_explicit_set(X,not_equal_object2),!,
2246 ? not_equal_explicit_set_wf(X,Y,WF).
2247 ?not_equal_object2_wf(X,Y,WF) :- not_equal_object3(X,Y,WF).
2248
2249 :- block not_equal_term_wf(-,-,?).
2250 not_equal_term_wf(X,Y,_WF) :- % triggered e.g. in test 1225 or 1227 for nil (freetypes)
2251 dif(X,Y).
2252 % TO DO: should we treat floating/1 in a special way?
2253
2254 :- block not_equal_explicit_set_wf(?,-,?).
2255 not_equal_explicit_set_wf(X,Y,WF) :-
2256 is_custom_explicit_set_nonvar(Y),!,
2257 ? not_equal_explicit_sets_wf(X,Y,WF).
2258 not_equal_explicit_set_wf(X,[],WF) :- !,
2259 is_non_empty_explicit_set_wf(X,WF).
2260 not_equal_explicit_set_wf(CS,[H|T],WF) :-
2261 ? is_simple_infinite_set(CS), % global_set(.) or open interval
2262 !, % TODO: maybe also detect other infinite sets
2263 test_finite_set_wf(T,Finite,WF),
2264 when(nonvar(Finite),(Finite=pred_true -> true % infinite set cannot be equal finite one
2265 ; not_equal_explicit_set_expand(CS,[H|T],WF))).
2266 not_equal_explicit_set_wf(X,Y,WF) :-
2267 ? not_equal_explicit_set_expand(X,Y,WF).
2268
2269 not_equal_explicit_set_expand(X,Y,WF) :-
2270 expand_custom_set_wf(X,EX,not_equal_explicit_set_wf,WF),
2271 ? not_equal_object3_block(EX,Y,WF).
2272
2273 :- block not_equal_object3_block(-,?,?).
2274 ?not_equal_object3_block(EX,Y,WF) :- not_equal_object3(EX,Y,WF).
2275
2276 :- load_files(library(system), [when(compile_time), imports([environ/2])]).
2277 :- block not_equal_object3(?,-,?).
2278 :- if(environ(prob_safe_mode,true)).
2279 not_equal_object3(X,Y,_) :- nonvar(X),type_error(X,Y),
2280 add_internal_error('Internal Typing Error (please report as bug !) : ',not_equal_object(X,Y)),
2281 fail.
2282 :- endif.
2283 not_equal_object3(X,Y,WF) :- is_custom_explicit_set(Y,not_equal_object2),!,
2284 not_equal_explicit_set_wf(Y,X,WF). % TODO: will uselessly check for X being custom_set or []
2285 not_equal_object3(freeval(ID,Case1,Value1),freeval(ID,Case2,Value2),WF) :-
2286 instantiate_freetype_case(ID,Case1,Case2),
2287 when(?=(Case1,Case2), % we first have to be able to decide the case; if cases are different types of values may be different
2288 not_equal_freeval_wf(Case1,Value1,Case2,Value2,WF)).
2289 not_equal_object3([],X,WF) :- not_empty_set_wf(X,WF).
2290 not_equal_object3([H|T],Set2,WF) :-
2291 (Set2==[] -> true % note second argument is nonvar
2292 ; cardinality_peano_wf([H|T],N1,no_wf_available),
2293 cardinality_peano_wf(Set2,N2,no_wf_available), % TODO(?): pending co-routines if Set2 infinite
2294 ? when(?=(N1,N2), % when we trigger code below, = can be decided:
2295 (N1=N2 -> neq_cons_wf(Set2,H,T,WF) ; true))).
2296 % (dif(N1,N2) ; (N1=N2, neq_cons_wf(Set2,H,T,WF)))). %not_equal_object_sets(Set1,Set2) )) ).
2297
2298 not_equal_freeval_wf(Case1,Value1,Case2,Value2,WF) :-
2299 (Case1=Case2 -> not_equal_object_wf(Value1,Value2,WF) ; true).
2300
2301 :- block not_equal_object_sets_wf(-,?,?), not_equal_object_sets_wf(?,-,?).
2302 not_equal_object_sets_wf([H|T],Set2,WF) :- !,
2303 ( Set2=[H2|_T2]
2304 ? -> not_equal_object_sets2(H,T,H2,Set2,WF)
2305 ; Set2=[] -> true
2306 ; not_equal_object2_wf(Set2,[H|T],WF) % avl_set probably
2307 ).
2308 not_equal_object_sets_wf(Set1,Set2,WF) :- % Note : if Set1 =[] then we can fail, as both sets have same length
2309 % we could have empty set or avl_set can sometimes creep into end of lists
2310 not_equal_object2_wf(Set1,Set2,WF).
2311
2312 :- block not_equal_object_sets2(-,?,?,?,?), not_equal_object_sets2(?,?,-,?,?).
2313 not_equal_object_sets2(H,_T,_H2,Set2,WF) :-
2314 % TO DO: should we not use kernel_equality:membership_test_wf here ??
2315 ? not_element_of_wf(H,Set2,WF).
2316 not_equal_object_sets2(H,T,_H2,Set2,WF) :-
2317 ? remove_element_wf(H,Set2,Del2,WF), % used to be remove_element(X,Set,Res) :- equal_cons(Set,X,Res).
2318 ? not_equal_object_wf(T,Del2,WF).
2319
2320
2321 :- block neq_cons_wf(-,?,?,?).
2322 neq_cons_wf([],_,_,_) :- !.
2323 neq_cons_wf([H2|T2],H1,T1,WF) :- !,
2324 (T2==[],T1==[]
2325 ? -> not_equal_object_wf(H1,H2,WF)
2326 ; check_and_remove([H2|T2],H1,NewSet2,RemoveSuccesful),
2327 ? neq_cons2(RemoveSuccesful,T1,NewSet2,WF)
2328 ).
2329 neq_cons_wf(avl_set(A),H1,T1,WF) :- element_can_be_added_or_removed_to_avl(H1),!,
2330 (remove_element_from_explicit_set(avl_set(A),H1,RA)
2331 -> not_equal_object_wf(T1,RA,WF)
2332 ; true ).
2333 neq_cons_wf(ES,H1,T1,WF) :- is_custom_explicit_set(ES,neq_cons),
2334 expand_custom_set_wf(ES,ExpSet,neq_cons_wf,WF),
2335 neq_cons_wf(ExpSet,H1,T1,WF).
2336
2337 :- block neq_cons2(-,?,?,?).
2338 neq_cons2(not_successful,_T1,_NewSet2,_WF). % one element could not be removed: the sets are different
2339 ?neq_cons2(successful,T1,NewSet2,WF) :- not_equal_object_sets_wf(T1,NewSet2,WF).
2340
2341 % kernel_objects:not_equal_couple(int(1),int(Y),B,pred_true).
2342 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(int(1),int(Y),B,pred_true,no_wf_available),Y=1, B==pred_false)).
2343 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(int(Y),int(1),B,pred_true,no_wf_available),Y=1, B==pred_false)).
2344 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(int(Y),int(1),B,pred_false,no_wf_available),Y=1, B==pred_true)).
2345 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(int(Y),int(1),pred_false,B,no_wf_available),Y=1, B==pred_true)).
2346 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(int(Y),int(1),B,pred_true,no_wf_available),Y=2, var(B))).
2347 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(B,pred_true,int(Y),int(1),no_wf_available),Y=1, B==pred_false)).
2348 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(B,fd(C,'Code'),fd(Y,'Name'),F,no_wf_available),F=fd(1,'Name'),Y=1,B=fd(1,'Code'),C=2 )).
2349 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(B,pred_true,fd(Y,'Name'),F,no_wf_available),F=fd(1,'Name'),Y=1, B==pred_false)).
2350
2351 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(int(2500),int(50),_,_,no_wf_available))).
2352 :- assert_must_succeed(( kernel_objects:not_equal_couple_wf(_,_,int(2500),int(50),no_wf_available))).
2353
2354
2355 %was too lax (but works): :- block not_equal_couple_wf(-,?,-,?,?),not_equal_couple_wf(?,-,?,-,?).
2356 % but not sure if this new declaration below is worth it, also since X1==Y1 or X2==Y2 is possible
2357 :- block not_equal_couple_wf(-,?,-,?,?), % X1 or X2 must be known
2358 not_equal_couple_wf(?,-,?,-,?), % Y1 or Y2 must be known
2359 not_equal_couple_wf(?,-,-,?,?), % X2 or Y1 must be known
2360 not_equal_couple_wf(-,?,?,-,?). % X1 or Y2 must be known
2361 % (X1,X2) /= (Y1,Y2)
2362
2363 % using CLPFD results in less propagation it seems
2364 % e.g. post_constraint((A1 #\= A2 #\/ B1 #\= B2), dif((A1,B1),(A2,B2))) will not propagate if A1=A2 or B1=B2
2365 % we could do something like
2366 % post_constraint((N*A1 + B1 #\= N*A2 + B2), dif((A1,B1),(A2,B2))). ; but we need to know good value for N
2367 % TO DO: pass typing information when available ?? or not needed because type info extracted ?
2368
2369 not_equal_couple_wf(X1,Y1,X2,Y2,WF) :- var(X1), var(Y1),!,
2370 (X1==Y1 -> not_equal_object_wf(X2,Y2,WF)
2371 ; not_equal_couple_wf_aux(X2,Y2,X1,Y1,WF)). % change order to test
2372 not_equal_couple_wf(X1,Y1,X2,Y2,WF) :-
2373 ? not_equal_couple_wf_aux(X1,Y1,X2,Y2,WF).
2374
2375 not_equal_couple_wf_aux(X1,Y1,X2,Y2,WF) :-
2376 ? equality_objects_wf(X1,Y1,EqRes1,WF),
2377 (var(EqRes1)
2378 -> equality_objects_wf(X2,Y2,EqRes2,WF),
2379 ? not_equal_couple4(EqRes1,X1,Y1,EqRes2,X2,Y2)
2380 ? ; EqRes1=pred_true -> not_equal_object_wf(X2,Y2,WF)
2381 ; true).
2382
2383 :- block not_equal_couple4(-,?,?,-,?,?).
2384 not_equal_couple4(EqRes1,X1,Y1,EqRes2,X2,Y2) :-
2385 (var(EqRes1)
2386 ? -> not_equal_couple5(EqRes2,X1,Y1,EqRes1)
2387 ? ; not_equal_couple5(EqRes1,X2,Y2,EqRes2)).
2388
2389 not_equal_couple5(pred_true,_X2,_Y2,EqResOther) :- EqResOther=pred_false.
2390 not_equal_couple5(pred_false,_,_,_).
2391
2392
2393 /* To do: provide special support for things like
2394 couple of fd's [done], list of fd's, set of fd's */
2395
2396 :- use_module(kernel_records,[check_field_name_compatibility/3]).
2397 :- block not_equal_fields_wf(-,-,?).
2398 not_equal_fields_wf([field(ID1,V1)|T1],[field(ID2,V2)|T2],WF) :-
2399 % should we wait for ID1 or ID2 to become nonvar?
2400 check_field_name_compatibility(ID1,ID2,not_equal_fields_wf),
2401 (T1==[]
2402 -> T2=[], not_equal_object_wf(V1,V2,WF)
2403 ? ; not_equal_couple_wf(V1,V2,rec(T1),rec(T2),WF) % would be slightly more efficient to have a custom version of not_equal_couple
2404 ).
2405
2406
2407 /* ------------------------------------------- */
2408 /* equality_objects/3 function */
2409 /* ------------------------------------------- */
2410
2411 %% :- ensure_loaded(kernel_equality).
2412
2413 % ----------------------------------------------------------
2414 % ----------------------------------------------------------
2415
2416
2417
2418 :- use_module(kernel_equality).
2419
2420 % ----------------------------------------------------------
2421 % ----------------------------------------------------------
2422
2423 /* ---------------> */
2424 /* This should probably be more systematically applied before every kernel call
2425 + expanded for other symbolic representations !! */
2426
2427
2428
2429 /* underlying assumption: if G is a global set: we get back the
2430 global_set tag immediately: no need to use when to wait;
2431 better: ensure that b_compute_expression always returns a nonvar term */
2432
2433 integer_global_set('NAT').
2434 integer_global_set('NATURAL').
2435 integer_global_set('NAT1').
2436 integer_global_set('NATURAL1').
2437 integer_global_set('INT').
2438 integer_global_set('INTEGER').
2439
2440 string_global_set('STRING'). % TODO : check what happens when we have STRING in Event-B as a set
2441 real_global_set('REAL'). % TODO: ditto
2442 real_global_set('FLOAT'). % TODO: ditto
2443
2444
2445 :- assert_must_succeed(( kernel_objects:element_of_global_set(int(0),'NATURAL'))).
2446 :- assert_must_fail(( kernel_objects:element_of_global_set(int(0),'NATURAL1'))).
2447 :- assert_must_fail(( kernel_objects:element_of_global_set(int(-1),'NATURAL'))).
2448 :- assert_must_succeed(( kernel_objects:element_of_global_set(int(-1),'INTEGER'))).
2449 :- assert_must_succeed(( kernel_objects:element_of_global_set(int(0),'NAT'))).
2450 :- assert_must_fail(( kernel_objects:element_of_global_set(int(0),'NAT1'))).
2451 :- assert_must_succeed(( kernel_objects:element_of_global_set(X,'NAT'),X=int(1))).
2452 :- assert_must_succeed(( kernel_objects:element_of_global_set(X,'NATURAL'),X=int(1))).
2453
2454 element_of_global_set(X,GS) :-
2455 init_wait_flags(WF),element_of_global_set_wf(X,GS,WF),ground_wait_flags(WF).
2456
2457 element_of_global_set_wf(El,Set,WF) :- element_of_global_set_wf(El,Set,WF,unknown).
2458
2459 :- use_module(kernel_reals,[is_real/1, is_float_wf/2, is_not_float/1]).
2460 :- block element_of_global_set_wf(?,-,?,?).
2461 ?element_of_global_set_wf(El,Set,WF,_) :- b_global_set(Set),!,
2462 global_type_wf(El,Set,WF).
2463 element_of_global_set_wf(X,'STRING',_WF,_) :- !, X=string(_).
2464 element_of_global_set_wf(X,'REAL',_WF,_) :- !, is_real(X).
2465 element_of_global_set_wf(X,'FLOAT',WF,_) :- !, is_float_wf(X,WF).
2466 element_of_global_set_wf(int(X),GS,WF,Span) :-
2467 element_of_global_integer_set_wf(GS,X,WF,Span).
2468
2469 /* what about BOOL ?? */
2470 element_of_global_integer_set_wf('NAT',X,WF,_) :-
2471 preferences:get_preference(maxint,MAXINT),
2472 in_nat_range_wf(int(X),int(0),int(MAXINT),WF).
2473 element_of_global_integer_set_wf('NATURAL',X,WF,Span) :-
2474 (ground(X) -> X>=0
2475 ; is_natural(int(X),WF),
2476 %get_last_wait_flag(element_of_global_set(int(X),'NATURAL'),WF,LWF),
2477 get_integer_enumeration_wait_flag(X,'NATURAL',WF,LWF),
2478 enumerate_natural(X,0,LWF,Span,WF)
2479 ).
2480 element_of_global_integer_set_wf('NAT1',X,WF,_) :-
2481 preferences:get_preference(maxint,MAXINT),
2482 in_nat_range_wf(int(X),int(1),int(MAXINT),WF).
2483 element_of_global_integer_set_wf('NATURAL1',X,WF,Span) :-
2484 (ground(X) -> X>=1
2485 ; is_natural1(int(X),WF),
2486 %get_last_wait_flag(element_of_global_set_wf(int(X),'NATURAL1'),WF,LWF),
2487 get_integer_enumeration_wait_flag(X,'NATURAL1',WF,LWF),
2488 enumerate_natural(X,1,LWF,Span,WF)
2489 ).
2490 element_of_global_integer_set_wf('INT',X,WF,_) :-
2491 preferences:get_preference(minint,MININT),
2492 preferences:get_preference(maxint,MAXINT),
2493 in_nat_range_wf(int(X),int(MININT),int(MAXINT),WF).
2494 element_of_global_integer_set_wf('INTEGER',X,WF,Span) :-
2495 (ground(X) -> true
2496 ; get_integer_enumeration_wait_flag(X,'INTEGER',WF,LWF),
2497 enumerate_int_wf(X,LWF,'INTEGER',WF,Span)
2498 ).
2499
2500
2501 get_integer_enumeration_wait_flag(X,SET,WF,LWF) :-
2502 clpfd_domain(X,FDLow,FDUp), finite_domain(FDLow,FDUp),!,
2503 Size is 1+FDUp-FDLow,
2504 get_wait_flag(Size,element_of_global_set_wf(int(X),SET),WF,LWF).
2505 get_integer_enumeration_wait_flag(X,SET,WF,LWF) :-
2506 get_integer_enumeration_wait_flag(element_of_global_set_wf(int(X),SET),WF,LWF).
2507 % important for e.g., solving r = /*@symbolic*/ {u|#x.(x : NATURAL & u : {x |-> x * x,x |-> x + x})} & 10|->20 : r
2508 % see test 1933, the code was: get_enumeration_starting_wait_flag(element_of_global_set_wf(int(X),SET),WF,LWF), which is a lower number
2509
2510 :- assert_must_succeed((kernel_objects:enumerate_int_wf(X,4,self_check,no_wf_available,unknown),X==2)).
2511 :- block enumerate_int_wf(-,-,?,?,?).
2512 enumerate_int_wf(X,_LWF,Source,WF,Span) :-
2513 (ground(X) -> true
2514 ; add_call_stack_to_span(Span,WF,Span2), % TODO: necessary?
2515 ? enumerate_int_with_span(X,trigger_true(Source),Span2,WF)).
2516
2517 :- assert_must_succeed(not_element_of_global_set(int(-1),'NAT')).
2518 :- assert_must_succeed(not_element_of_global_set(int(-1),'NATURAL')).
2519 :- assert_must_succeed(not_element_of_global_set(int(0),'NAT1')).
2520 :- assert_must_succeed(not_element_of_global_set(int(0),'NATURAL1')).
2521 not_element_of_global_set(_,GS) :- is_maximal_global_set(GS),!, fail. % covers REAL, STRING, INTEGER
2522 not_element_of_global_set(X,'FLOAT') :- !, is_not_float(X).
2523 not_element_of_global_set(int(X),GS) :-
2524 (var(GS) -> add_error(kernel_objects,var_not_element_of_global_set,(int(X),GS)) ; true),
2525 not_element_of_global_set2(GS,X).
2526 not_element_of_global_set2('NAT',X) :-
2527 preferences:get_preference(maxint,MAXINT),
2528 clpfd_not_in_non_empty_range(X,0,MAXINT). %when(nonvar(X), (X<0 ; X>MAXINT)).
2529 not_element_of_global_set2('NATURAL',X) :- is_not_natural(int(X)).
2530 not_element_of_global_set2('NAT1',X) :-
2531 preferences:get_preference(maxint,MAXINT),
2532 clpfd_not_in_non_empty_range(X,1,MAXINT). %when(nonvar(X),(X<1 ; X>MAXINT)).
2533 not_element_of_global_set2('NATURAL1',X) :- is_not_natural1(int(X)).
2534 not_element_of_global_set2('INT',X) :-
2535 preferences:get_preference(minint,MININT),
2536 preferences:get_preference(maxint,MAXINT),
2537 clpfd_not_in_non_empty_range(X,MININT,MAXINT). %when(nonvar(X), (X < MININT ; X > MAXINT)).
2538 %not_element_of_global_set(string(_X),'STRING') :- fail.
2539 %not_element_of_global_set(int(_X),'INTEGER') :- fail.
2540 %not_element_of_global_set(_El,Set) :- b_global_set(Set), fail.
2541
2542
2543
2544 /* ---- */
2545 /* SETS */
2546 /* ---- */
2547
2548 %:- block is_a_set(-).
2549 %is_a_set(X) :- is_a_set2(X).
2550 %is_a_set2([]) :- !.
2551 %is_a_set2([_|_]) :- !.
2552 %is_a_set2(X) :- is_custom_explicit_set(X,is_a_set2).
2553
2554
2555
2556
2557 :- assert_must_succeed(exhaustive_kernel_fail_check(empty_set([int(4),int(3)]))).
2558 :- assert_must_fail((empty_set([int(2),int(1)]))).
2559 :- assert_must_fail((empty_set([int(1)]))).
2560 :- assert_must_fail((empty_set([[]]))).
2561 :- assert_must_fail((empty_set(global_set('Name')))).
2562 :- assert_must_fail((empty_set(X),X=[int(1)])).
2563 :- assert_must_succeed((empty_set([]))).
2564 empty_set(X) :- (var(X) -> X=[]
2565 ; X=[] -> true
2566 % ; X=[_|_] -> fail
2567 ; is_custom_explicit_set_nonvar(X),is_empty_explicit_set(X)).
2568 empty_set_wf(X,WF) :- (var(X) -> X=[]
2569 ; X=[] -> true
2570 % ; X=[_|_] -> fail
2571 ; is_custom_explicit_set_nonvar(X),is_empty_explicit_set_wf(X,WF)).
2572
2573
2574 :- assert_must_succeed(exhaustive_kernel_check(not_empty_set([int(4),int(3)]))).
2575 :- assert_must_succeed((kernel_objects:not_empty_set([int(2),int(1)]))).
2576 :- assert_must_succeed((kernel_objects:not_empty_set([int(1)]))).
2577 :- assert_must_succeed((kernel_objects:not_empty_set([[]]))).
2578 :- assert_must_succeed((kernel_objects:not_empty_set(global_set('Name')))).
2579 :- assert_must_succeed((kernel_objects:not_empty_set_lwf(X,1),nonvar(X),X=[_|_])).
2580 :- assert_must_succeed((kernel_objects:not_empty_set_lwf([int(1)],_))).
2581 :- assert_must_fail((kernel_objects:not_empty_set([]))).
2582
2583 :- use_module(kernel_non_empty_attr,[mark_var_set_as_non_empty/1]).
2584
2585 not_empty_set_wf(S,WF) :- WF==no_wf_available,!, not_empty_set2(S,WF).
2586 not_empty_set_wf(S,WF) :- var(S), !,
2587 (preferences:preference(use_smt_mode,true) -> S=[_|_]
2588 % ; WF=no_wf_available -> not_empty_set(S)
2589 ; get_large_finite_wait_flag(not_empty_set_wf,WF,LWF),
2590 % print(not_empty(S)),nl, % TO DO: set kernel_cardinality attribute if variable
2591 ? mark_var_set_as_non_empty(S),
2592 not_empty_set_lwf(S,LWF)).
2593 ?not_empty_set_wf(closure(P,T,B),WF) :- !, is_non_empty_explicit_set_wf(closure(P,T,B),WF).
2594 not_empty_set_wf(S,WF) :- not_empty_set2(S,WF).
2595
2596 :- block not_empty_set_lwf(-,-).
2597 % the instantiation with a list skeleton can easily cause multiple solutions for the same
2598 % set to be found: hence we guard it by a wait flag
2599 not_empty_set_lwf(S,_LWF) :- var(S),!,
2600 S=[_|_].
2601 not_empty_set_lwf(S,_) :- not_empty_set(S).
2602
2603 not_empty_set(Set) :- not_empty_set2(Set,no_wf_available).
2604
2605 :- use_module(error_manager,[add_warning/2]).
2606 :- block not_empty_set2(-,?).
2607 %not_empty_set(S) :- var(S),!,S=[_|_].
2608 % not_empty_set(X) :- not_equal_object([],X).
2609 not_empty_set2([_|_],_).
2610 not_empty_set2(avl_set(A),_) :- (A==empty -> add_warning(not_empty_set,'Empty avl_set'),fail ; true).
2611 not_empty_set2(closure(P,T,B),WF) :- is_non_empty_explicit_set_wf(closure(P,T,B),WF). % TO DO: also use WF
2612 not_empty_set2(global_set(Type),_) :- b_non_empty_global_set(Type).
2613 not_empty_set2(freetype(ID),_) :- kernel_freetypes:is_non_empty_freetype(ID).
2614
2615 % there also exists: eq_empty_set , a reified version, i.e., test_empty_set
2616
2617
2618 :- assert_must_succeed((exact_element_of(int(1),[int(2),int(1)]))).
2619 :- assert_must_succeed((exact_element_of(int(1),[int(2),int(3),int(4),int(1)]))).
2620 :- assert_must_succeed((exact_element_of(int(4),[int(2),int(3),int(4),int(1)]))).
2621 :- assert_must_succeed((exact_element_of(int(1),[int(2),int(3)|T]), T=[int(4),int(1)])).
2622 :- assert_must_fail((exact_element_of(int(5),[int(2),int(3)|T]), T=[int(4),int(1)])).
2623 :- assert_must_succeed((exact_element_of(fd(1,'Name'),global_set('Name')))).
2624 :- assert_must_succeed((exact_element_of([int(2),int(1)],[[],[int(2),int(1)]]))).
2625 :- assert_must_fail((exact_element_of([int(1),int(2)],[[],[int(2),int(1)]]))).
2626 %:- assert_must_succeed((exact_element_of([(int(1),fd(2,'Name'))],
2627 % closure([zzzz],[set(couple(integer,global('Name')))], 'In'('ListExpression'(['Identifier'(zzzz)]),
2628 % 'Seq'(value([fd(1,'Name'),fd(2,'Name')]))))) )).
2629 %:- assert_must_succeed((exact_element_of(XX,
2630 % closure([zzzz],[set(couple(integer,global('Name')))], 'In'('ListExpression'(['Identifier'(zzzz)]),
2631 % 'Seq'(value([fd(1,'Name'),fd(2,'Name')]))))),
2632 % equal_object(XX,[(int(1),fd(1,'Name'))]) )).
2633 %:- assert_must_succeed((
2634 %exact_element_of(XX,closure([zzzz],[set(couple(integer,global('Name')))],
2635 % 'In'('ListExpression'(['Identifier'(zzzz)]),
2636 % 'Perm'(value([fd(1,'Name'),fd(2,'Name')]))))),
2637 % equal_object(XX,[(int(1),fd(2,'Name')),(int(2),fd(1,'Name'))]) )).
2638
2639 %:- assert_must_succeed(( exact_element_of(X,
2640 % closure([zzzz],[set(record([field(balance,integer),field(name,global('Code'))]))],
2641 % 'In'('ListExpression'(['Identifier'(zzzz)]),
2642 % 'PowerSet'(value(closure([zzzz],
2643 % [record([field(balance,integer),field(name,global('Code'))])],'In'('ListExpression'(['Identifier'(zzzz)]),
2644 % 'SetOfRecords'(value(cons_expr(field(balance,global_set('NAT')),
2645 % cons_expr(field(name,global_set('Code')),nil_expr))))))))))),
2646 % X=[rec([field(balance,int(0)),field(name,fd(2,'Code'))])] )).
2647 %:- assert_must_fail(( exact_element_of(X,
2648 % closure([zzzz],[set(record([field(balance,integer),field(name,global('Code'))]))],
2649 % 'In'('ListExpression'(['Identifier'(zzzz)]),
2650 % 'PowerSet'(value(closure([zzzz],
2651 % [record([field(balance,integer),field(name,global('Code'))])],'In'('ListExpression'(['Identifier'(zzzz)]),
2652 % 'SetOfRecords'(value(cons_expr(field(balance,global_set('NAT')),
2653 % cons_expr(field(name,global_set('Code')),nil_expr))))))))))),
2654 % X=[rec([field(balance,int(-1)),field(name,fd(2,'Code'))])] )).
2655
2656
2657 /* use this to compute elements */
2658 exact_element_of(X,Set) :-
2659 dif(Set,[]),
2660 exact_element_of2(Set,X).
2661 :- block exact_element_of2(-,?).
2662 exact_element_of2([H|_],H).
2663 exact_element_of2([_|T],E) :- exact_element_of3(T,E).
2664 exact_element_of2(X,E) :- is_custom_explicit_set_nonvar(X), check_element_of(E,X).
2665 :- block exact_element_of3(-,?).
2666 exact_element_of3([H|_],H).
2667 exact_element_of3([_|T],E) :- exact_element_of3(T,E).
2668
2669
2670 :- assert_must_succeed(exhaustive_kernel_check(check_element_of(int(1),[int(2),int(1)]))).
2671 :- assert_must_succeed(exhaustive_kernel_fail_check(check_element_of(int(3),[int(2),int(1)]))).
2672 :- assert_must_succeed(exhaustive_kernel_fail_check(check_element_of(int(1),[]))).
2673
2674 /* uses equal_object instead of unification */
2675 :- assert_must_succeed((check_element_of(X,
2676 [(int(1),(int(1),(int(1),int(1)))),(int(2),(int(1),(int(1),int(1)))),
2677 (int(1),(int(1),(int(1),int(2)))),(int(2),(int(1),(int(1),int(2))))]),
2678 equal_object(X, (int(2),(int(1),(int(1),int(2))))) )).
2679 :- assert_must_succeed((check_element_of(X,
2680 [ (((int(1),int(1)),int(1)),int(1)), (((int(1),int(1)),int(1)),int(2)),
2681 (((int(1),int(1)),int(1)),int(3)), (((int(1),int(1)),int(1)),int(4)),
2682 (((int(1),int(1)),int(2)),int(1)), (((int(1),int(1)),int(2)),int(2))
2683 ]), equal_object(X, (((int(1),int(1)),int(2)),int(1)))
2684 )).
2685 :- assert_must_succeed((check_element_of(fd(1,'Name'),global_set('Name')))).
2686 %:- assert_must_succeed_multiple(check_element_of(X,[[fd(1,'Name')],[]])).
2687 :- assert_must_succeed((check_element_of((int(1),int(2)),[(int(1),int(2))]))).
2688 :- assert_must_succeed((check_element_of((_X,_Y),[(fd(2,'Code'),fd(2,'Code'))]))).
2689 :- assert_must_succeed((init_wait_flags(WF),
2690 check_element_of_wf((X,Y),[(fd(2,'Code'),fd(2,'Code'))],WF),
2691 ground_det_wait_flag(WF), X= fd(2,'Code'), Y= fd(2,'Code'),
2692 kernel_waitflags:ground_wait_flags(WF) )).
2693 :- assert_must_succeed((init_wait_flags(WF),
2694 check_element_of_wf((Y,X),[(fd(2,'Code'),fd(2,'Code'))],WF),
2695 ground_det_wait_flag(WF), X= fd(2,'Code'), Y= fd(2,'Code'),
2696 kernel_waitflags:ground_wait_flags(WF) )).
2697 :- assert_must_succeed((check_element_of([int(1),int(2)],[[int(2),int(1)]]))).
2698
2699 :- assert_must_succeed((check_element_of([int(1),int(2)],[[],[int(2),int(1)]]))).
2700 :- assert_must_succeed((check_element_of(X,[[],[int(2),int(1)]]), X==[] )).
2701 :- assert_must_succeed((check_element_of_wf(X,[[],[int(2),int(1)]],_WF),
2702 equal_object(X,[int(1),int(2)]) )).
2703 :- assert_must_succeed((check_element_of_wf(XX,global_set('Name'),WF),kernel_waitflags:ground_wait_flags(WF), XX==fd(3,'Name') )).
2704 :- assert_must_fail(check_element_of([fd(2,'Name')],[[fd(1,'Name')],[]])).
2705 :- assert_must_fail((check_element_of([int(2)],[[],[int(2),int(1)]]))).
2706 :- assert_must_succeed((check_element_of(int(1),_X))).
2707 :- assert_must_succeed((check_element_of((int(2),_X),[(int(1),[(int(1),int(22))]),(int(2),[(int(1),int(55))])]))).
2708
2709 check_element_of(X,Set) :- init_wait_flags(WF,[check_element_of]),
2710 ? check_element_of_wf(X,Set,WF),
2711 ground_wait_flags(WF).
2712
2713 % new test: check_element_of(int(1),X).
2714 % new test: check_element_of(int(1),[int(2)|X]).
2715
2716 check_element_of_wf(X,Set,WF) :- %print(el_of(X,Set)),nl,
2717 dif(Set,[]),
2718 % TO do: mark Set as non-empty not_empty_set_wf from kernel_cardinality_attr
2719 ? check_element_of1(X,Set,WF).
2720
2721 %check_element_of1(X,Set,WF) :- var(X),var(Set),unbound_variable_check(Set),!,
2722 % Set=[_|_], check_element_of2(Set,X,WF).
2723 %:- block check_element_of1(-,-,?). %%
2724
2725
2726 %:- block check_element_of1(-,-,?). % leads to time-out in test 292 for {x,S,S2|x : S & S <: (1 .. 213) & S \/ {x} = S2 & x /: S2} and test 1976 in data_validation mode and CLPFD false
2727 check_element_of1(X,Set,WF) :-
2728 (unbound_variable_for_element_of(Set),
2729 preference(data_validation_mode,false) % TODO: this leads to failure of test 1976 with CLPFD FALSE
2730 % but avoids instantiating Sets to lists early on: can disturb enumeration and efficient computation/unification of large sets
2731 ? -> check_element_of_unbound_set(X,Set,WF)
2732 ? ; check_element_of2(Set,X,WF)
2733 ).
2734
2735 check_element_of_unbound_set(X,Set,_WF) :-
2736 mark_as_non_free(X,check_element_of_unbound_set),
2737 Set=[X|_]. % Note: X needs to be nonvar so that other code knows X is not free anymore
2738 % TO DO: normalise X ?
2739 % TO DO: do this using CHR/attributes rather than by instantiation
2740
2741
2742 unbound_variable_for_element_of(Set) :- unbound_variable_for_cons(Set).
2743
2744 % attach co-routine to mark a given term as not a real variable
2745 mark_as_non_free(X,_Info) :- var(X) -> non_free(X) ; true.
2746 mark_as_non_free(X) :- var(X) -> non_free(X) ; true.
2747 :- block non_free(-).
2748 non_free([H|T]) :- !, mark_as_non_free(H), mark_as_non_free(T).
2749 non_free((A,B)) :- !, mark_as_non_free(A), mark_as_non_free(B).
2750 non_free(rec(Fields)) :- !, mark_as_non_free_fields(Fields).
2751 non_free(_).
2752 :- block mark_as_non_free_fields(-).
2753 mark_as_non_free_fields([]).
2754 mark_as_non_free_fields([field(_,Val)|T]) :- mark_as_non_free(Val),mark_as_non_free_fields(T).
2755
2756 :- use_module(clpfd_lists,[lazy_fd_value_check/4]).
2757
2758 :- block check_element_of2(-,?,?).
2759 check_element_of2(CS,El,WF) :-
2760 ? is_custom_explicit_set_nonvar(CS),!, element_of_custom_set_wf(El,CS,WF).
2761 check_element_of2([],_,_) :- !,fail.
2762 %check_element_of2([H|T],El,WF) :- try_expand_and_convert_to_avl([H|T],AVL),AVL=avl_set(_),!, % much better support exists for AVL trees; should we enable this conversion ?? %nl,print(converted_list_to_AVL([H|T])),nl,nl,
2763 % element_of_custom_set_wf(El,AVL,WF).
2764 check_element_of2([H|T],E,WF) :- !, % print(check_element_of4w(E,H,T,WF)),nl,
2765 % try and transform E : Set into clpfd:element(_,FDVals,EFD) check:
2766 ? lazy_fd_value_check([H|T],E,WF,FullyChecked),
2767 %get_partial_set_priority([H|T],WF,LWF), %%
2768 %get_wait_flag(2,check_element_of2([H|T],E),WF,LWF), %%
2769 (FullyChecked==true,ground(E) -> true % no need to check
2770 ; get_cardinality_wait_flag([H|T],check_element_of2,WF,LWF),
2771 ? check_element_of4w(E,H,T,WF,LWF) % this call is somewhat redundant if FullyChecked=true; but otherwise in_fd_value_list will not enumerate on its own (e.g., self-checks for relation_over will fail)
2772 ).
2773 check_element_of2(freetype(Id),E,WF) :- !, is_a_freetype_wf(E,Id,WF).
2774 check_element_of2(term(Z),_E,_WF) :- Z==undefined,!,
2775 add_error_fail(check_element_of2,'Encountered uninitialised set variable', '').
2776 check_element_of2(Set,E,WF) :-
2777 add_internal_error('Illegal argument: ',check_element_of2(Set,E,WF)),fail.
2778
2779
2780 % call if you already have an explicit waitflag (LWF) setup for the cardinality of the set
2781 :- block check_element_of_wf_lwf(?,-,?,?).
2782 check_element_of_wf_lwf(El,CS,WF,_LWF) :-
2783 ? is_custom_explicit_set_nonvar(CS),!, element_of_custom_set_wf(El,CS,WF).
2784 ?check_element_of_wf_lwf(E,[H|T],WF,LWF) :- check_element_of4w(E,H,T,WF,LWF).
2785 check_element_of_wf_lwf(E,freetype(Id),WF,_) :- !, is_a_freetype_wf(E,Id,WF).
2786
2787 :- block check_element_of4w(-,?,-,?,-).
2788 % check_element_of4w(E,H,T,_WF,_LWF) :- print(check_element_of4w(E,H,T,_WF,_LWF)),nl,fail.
2789 check_element_of4w(E,H,T,_WF,_LWF) :- T==[],!,equal_object(E,H,check_element_of4w).
2790 check_element_of4w(E,H,_T,_WF,_LWF) :- E==H ,!. %,print(eq(E,H)),nl. % added by mal, 17.10 2007
2791 check_element_of4w(E,H,T,WF,LWF) :- T\==[],
2792 ? equality_objects_lwf(E,H,Res,LWF,WF),
2793 ? check_element_of4(Res,E,T,WF,LWF).
2794
2795 :- block check_element_of4(-,?,?,?,-).
2796 check_element_of4(pred_true,_E,_,_WF,_LWF).
2797 check_element_of4(pred_false,E,T,WF,LWF) :-
2798 ? (var(T) -> T = [E|_] ; check_element_of5(E,T,WF,LWF)).
2799
2800 :- block check_element_of5(?,-,?,?).
2801 check_element_of5(E,R,WF,LWF) :-
2802 get_next_element(R,H,T),
2803 ? check_element_of4w(E,H,T,WF,LWF).
2804
2805
2806
2807 :- assert_must_succeed(exhaustive_kernel_check(not_element_of(int(3),[int(2),int(1)]))).
2808 :- assert_must_succeed(exhaustive_kernel_check(not_element_of(int(3),[int(2),int(1),int(4)]))).
2809 :- assert_must_succeed(exhaustive_kernel_fail_check(not_element_of(int(1),[int(2),int(1)]))).
2810 :- assert_must_succeed((kernel_objects:not_element_of(int(3),[int(2),int(1)]))).
2811 :- assert_must_succeed((kernel_objects:not_element_of(fd(1,'Name'),[]))).
2812 :- assert_must_fail((kernel_objects:not_element_of(fd(1,'Name'),global_set('Name')))).
2813 :- assert_must_succeed((kernel_objects:not_element_of(X,[fd(1,'Name')]),X = fd(2,'Name'))).
2814 :- assert_must_fail((kernel_objects:not_element_of(X,[fd(1,'Name')]),X = fd(1,'Name'))).
2815 :- assert_must_succeed(kernel_objects:not_element_of(term(a),[])).
2816 :- assert_must_fail((kernel_objects:not_element_of(int(1),[int(2),int(1)]))).
2817 :- assert_must_succeed((kernel_objects:not_element_of([int(1),int(2)],
2818 [[int(1)],[int(0),int(4)],[int(0),int(3)],[int(0),int(1)],[int(0)],[]]))).
2819 :- assert_must_fail((kernel_objects:not_element_of(term(3),[int(2),int(1)]))).
2820
2821
2822 not_element_of(X,Set) :- init_wait_flags(WF,[not_element_of]),
2823 ? not_element_of_wf(X,Set,WF),
2824 ? ground_wait_flags(WF).
2825
2826 :- use_module(b_global_sets,[b_get_fd_type_bounds/3]).
2827 :- block not_element_of_wf(-,-,?).
2828 not_element_of_wf(_,Set,_) :- Set==[],!.
2829 not_element_of_wf(El,Set,WF) :- nonvar(El),El=fd(X,GS),b_get_fd_type_bounds(GS,N,N),!,
2830 % we have a global set with a single element; Set must be empty
2831 X=N,empty_set_wf(Set,WF).
2832 ?not_element_of_wf(El,Set,WF) :- not_element_of_wf1(Set,El,WF).
2833
2834 :- block not_element_of_wf1(-,?,?).
2835 not_element_of_wf1(X,E,WF) :- is_custom_explicit_set_nonvar(X),!,
2836 ? not_element_of_custom_set_wf(E,X,WF).
2837 not_element_of_wf1([],_E,_WF).
2838 not_element_of_wf1([H|T],E,WF) :-
2839 ? not_equal_object_wf(E,H,WF),
2840 ? not_element_of_wf1(T,E,WF).
2841
2842
2843 :- assert_must_succeed(exhaustive_kernel_check(add_element(int(3),[int(2),int(1)],[int(1),int(3),int(2)]))).
2844 :- assert_must_succeed(exhaustive_kernel_fail_check(add_element(int(2),[int(2),int(1)],[int(1),int(3),int(2)]))).
2845 :- assert_must_succeed(exhaustive_kernel_fail_check(add_element(int(4),[int(2),int(1)],[int(1),int(3),int(2)]))).
2846 :- assert_must_succeed((kernel_objects:add_element(int(3),[int(2),int(1)],R),
2847 kernel_objects:equal_object(R,[int(1),int(2),int(3)]))).
2848 :- assert_must_succeed((kernel_objects:add_element([int(2)],[[int(2),int(1)],[]],R),
2849 kernel_objects:equal_object(R,[[],[int(1),int(2)],[int(2)]]))).
2850 :- assert_must_succeed((kernel_objects:add_element([int(1),int(2)],[[int(2),int(1)],[]],R),
2851 kernel_objects:equal_object(R,[[],[int(1),int(2)]]))).
2852 :- assert_must_succeed((kernel_objects:add_element(X,[int(2),int(1)],R),
2853 kernel_objects:equal_object(R,[int(1),int(2)]), X = int(1))).
2854 :- assert_must_succeed((kernel_objects:add_element([int(1),int(2)],
2855 [[int(1)],[int(0),int(4)],[int(0),int(3)],[int(0),int(1)],[int(0)],[]], _R))).
2856
2857 :- assert_must_succeed((kernel_objects:add_element(int(3),[int(X),int(1)],R,D),
2858 var(D), X=3, R==[int(3),int(1)], D==done)).
2859
2860 :- assert_must_fail((kernel_objects:add_element(term(msg),[int(2),int(1)],_R))).
2861 :- assert_must_succeed((kernel_objects:add_element(int(3),[int(2),int(X)],R),
2862 nonvar(R), R =[H|T], H==int(2), nonvar(T),T=[_HH|TT],var(TT),
2863 X=4, T==[int(4),int(3)])).
2864 :- assert_must_succeed((kernel_objects:add_element(int(3),[int(2),int(X)],R),
2865 nonvar(R), R =[H|T], H==int(2), nonvar(T),T=[_HH|TT],var(TT),
2866 X=3, T==[int(3)])).
2867 :- assert_must_succeed((kernel_objects:add_element(int(3),X,[int(2),int(3)]),
2868 kernel_objects:equal_object(X,[int(2)]) )).
2869 :- assert_must_succeed((kernel_objects:add_element(int(3),X,[int(3)]),
2870 kernel_objects:equal_object(X,[]) )).
2871 :- assert_must_succeed((add_element(X,[int(1)],[int(1)]),X==int(1))).
2872 :- assert_must_succeed((add_element(X,[],[int(1)]),X==int(1))).
2873 % kernel_objects:add_element(E,[H],R,Done), H = int(X), E=int(Y), X in 1..10, Y in 11..20.
2874
2875
2876 ?add_element(E,Set,NewSet) :- add_element(E,Set,NewSet,_).
2877 ?add_element(Element,Set,NewSet,Done) :- add_element_wf(Element,Set,NewSet,Done,no_wf_available).
2878 add_element_wf(E,Set,NewSet,WF) :- add_element_wf(E,Set,NewSet,_,WF).
2879
2880 :- block add_element_wf(?,-,?,?,?).
2881 add_element_wf(Element,Set,NewSet,Done,_WF) :- Set==[],!,
2882 % try and convert to AVL if possible:
2883 ? equal_object_optimized(NewSet,[Element]), % we could call equal_object_opt3 directly
2884 Done=done.
2885 ?add_element_wf(E,Set,NewSet,Done,WF) :- add_element1_wf(E,Set,NewSet,Done,WF).
2886
2887 :- block %add_element1(-,?,-,?),
2888 add_element1_wf(?,-,?,?,?).
2889 add_element1_wf(E,Set,NewSet,Done,WF) :- var(E),!, add_element_var(Set,NewSet,E,Done,WF).
2890 add_element1_wf(E,[H|T],NewSet,Done,WF) :- E==H,!,
2891 % avoid running [H|T] through expand_custom_set_to_list, in case T is a variable this will create a pending co-routine
2892 ? equal_object_wf(NewSet,[H|T],add_element1_1,WF),Done=done.
2893 add_element1_wf(E,Set,NewSet,Done,WF) :-
2894 nonvar(Set), is_custom_explicit_set_nonvar(Set),
2895 add_element_to_explicit_set_wf(Set,E,R,WF),!,
2896 ? equal_object_wf(R,NewSet,add_element1_2,WF),Done=done.
2897 add_element1_wf(E,Set,NewSet,Done,WF) :-
2898 expand_custom_set_to_list_wf(Set,ESet,_,add_element1,WF),
2899 % we could avoid this expansion by treating avl_set,... below in add_element3
2900 ? add_element2_wf(ESet,E,NewSet,Done,WF).
2901
2902
2903 add_element_var([],Res,Element,Done,WF) :- !,
2904 equal_cons_wf(Res,Element,[],WF),Done=done.
2905 add_element_var(Set,Res,Element,Done,WF) :- Set \= [], Set \= closure(_,_,_),
2906 is_one_element_set(Res,ResEl), !,
2907 % the result is a one element set; hence Element *must* be the element in that set
2908 equal_object_wf(Element,ResEl,add_element_var_1,WF),
2909 equal_object_wf(Set,Res,add_element_var_2,WF), Done=done.
2910 add_element_var(Set,Res,Element,Done,WF) :- %when(nonvar(Element), add_element(Element,Set,Res,Done)).
2911 expand_custom_set_to_list_wf(Set,ESet,_,add_element_var,WF),
2912 add_element2_wf(ESet,Element,Res,Done,WF).
2913
2914 is_one_element_set(S,_) :- var(S),!,fail.
2915 is_one_element_set([H|T],H) :- T==[].
2916 is_one_element_set(avl_set(S),El) :- is_one_element_custom_set(avl_set(S),El).
2917
2918 :- block add_element2_wf(-,?,?,?,?).
2919 add_element2_wf([],E,Res,Done,WF) :- var(Res),should_be_converted_to_avl(E),
2920 construct_avl_from_lists_wf([E],R,WF),!,
2921 (R,Done)=(Res,done).
2922 ?add_element2_wf(S,E,Res,Done,WF) :- copy_list_skeleton(S,Res,WF),
2923 ? add_element3_wf(S,E,Res,Done,WF).
2924
2925 % TO DO: use something else, like subset to propagate info that Set1 <: Set1 \/ {New}
2926 :- block copy_list_skeleton(-,?,?).
2927 copy_list_skeleton([],_,_WF) :- !.
2928 copy_list_skeleton([H|T],R,WF) :- !, % H must be in R, but not all elements of R are in [H|T] !; it could be the added element
2929 ((ground_value(H) ; unbound_variable_for_cons(R) ;
2930 custom_explicit_sets:singleton_set(R,_) % if R is a singleton set {EL} then H must be EL and T=[]
2931 )
2932 ? -> equal_cons_wf(R,H,RR,WF),
2933 copy_list_skeleton(T,RR,WF)
2934 ; %nl,print(not_copying([H|T],R)),nl,
2935 true % otherwise equal_cons_wf can backpropagate elements from R into H !! see {x,y| x = {1,2} & x \/ y = {1,2,3} & 1:y } test 1535
2936 ).
2937 copy_list_skeleton(Set,R,WF) :- !,is_custom_explicit_set(Set,copy_list_skeleton),
2938 expand_custom_set_to_list_wf(Set,ESet,_,copy_list_skeleton,WF), copy_list_skeleton(ESet,R,WF).
2939 copy_list_skeleton(Skel,R,WF) :- add_internal_error('Argument not a set: ',copy_list_skeleton(Skel,R,WF)).
2940
2941 :- block add_element3_wf(-,?,?,?,?).
2942 add_element3_wf([],E,Res,Done,WF) :- % Res must be {E}
2943 ? equal_cons_wf(Res,E,[],WF),
2944 Done=done.
2945 add_element3_wf([H|T],E,Res,Done,WF) :-
2946 equality_objects_wf(H,E,EqRes,WF),
2947 ? equal_cons_wf(Res,H,TailRes,WF), % was: equal_object([H|TailRes],Res), % use WF?
2948 (var(EqRes)
2949 ? -> has_not_to_be_added([H|T],Res,EqRes,0)
2950 ; true),
2951 %(when(nonvar(EqRes),(print(nv(EqRes,H,T,WF)),nl))),
2952 ? add_element4_wf(EqRes,T,E,TailRes,Done,WF).
2953
2954
2955 % check if an element has not to be added to arg1 to obtain arg2
2956 :- block has_not_to_be_added(?,-,?,?),has_not_to_be_added(-,?,?,?).
2957 %has_not_to_be_added(A,B,R,Sz) :- print(has_not_to_be_added(A,B,R,Sz)),nl,fail.
2958 has_not_to_be_added([],[],R,Sz) :- !,(Sz=1 -> R=pred_true % we have 1 element: force equality with first element
2959 ; true).
2960 has_not_to_be_added([],[_H|T],R,_Sz) :- !, %(var(R) -> print(add_f([],[_H|T],R,_Sz)),nl ; true),
2961 empty_set(T),R=pred_false. % R=pred_false means with add an element
2962 has_not_to_be_added([_|_],[],_,_) :- !,fail. % we can either add or not; in both cases we do not obtain []
2963 ?has_not_to_be_added([_|T1],[_|T2],R,Sz) :- !, S1 is Sz+1, has_not_to_be_added(T1,T2,R,S1).
2964 has_not_to_be_added(_,_,_,_). % to do: support custom explicit sets
2965
2966 :- block add_element4_wf(-,?,?,?,?,?).
2967 ?add_element4_wf(pred_true, T,_E,TRes,Done,WF) :- equal_object_wf(T,TRes,add_element4_wf,WF), Done=done.
2968 ?add_element4_wf(pred_false,T, E,TRes,Done,WF) :- add_element3_wf(T,E,TRes,Done,WF).
2969
2970
2971 :- assert_must_succeed((kernel_objects:add_new_element(int(3),[int(2),int(1)],R),
2972 kernel_objects:equal_object(R,[int(1),int(2),int(3)]))).
2973 :- assert_must_succeed((kernel_objects:add_new_element([int(2)],[[int(2),int(1)],[]],R),
2974 kernel_objects:equal_object(R,[[],[int(1),int(2)],[int(2)]]))).
2975
2976 % TO DO : get rid of need for non-WF version in enumeration basic type:
2977 add_new_element(E,Set,NewSet) :- init_wait_flags(WF),
2978 add_new_element_wf(E,Set,NewSet,WF), ground_wait_flags(WF).
2979
2980 % use when you are sure the element to add is not in the set
2981 % to be used for adding elements to an accumulator
2982 :- block add_new_element_wf(?,-,?,?).
2983 %%add_new_element(E,Set,NewSet) :- add_element(E,Set,NewSet). % TO DO : Improve
2984 add_new_element_wf(E,Set,NewSet,WF) :-
2985 is_custom_explicit_set(Set,add_element),
2986 add_element_to_explicit_set_wf(Set,E,R,WF),!,
2987 equal_object_wf(R,NewSet,add_new_element_wf,WF).
2988 add_new_element_wf(E,Set,NewSet,WF) :-
2989 expand_custom_set_to_list_wf(Set,ESet,_,add_new_element_wf,WF),
2990 add_new_element2(ESet,E,NewSet,WF).
2991
2992 :- block add_new_element2(-,?,?,?).
2993 add_new_element2([],E,Res,WF) :- var(Res),should_be_converted_to_avl(E),
2994 construct_avl_from_lists_wf([E],R,WF),!,equal_object_wf(R,Res,add_new_element2,WF).
2995 add_new_element2(S,E,Res,WF) :- equal_cons_wf(Res,E,S,WF).
2996
2997
2998
2999
3000 :- assert_must_succeed(exhaustive_kernel_check(remove_element_wf(int(3),[int(3),int(1)],
3001 [int(1)],_WF))).
3002 :- assert_must_succeed(exhaustive_kernel_check(remove_element_wf(int(1),[int(3),int(1)],
3003 [int(3)],_WF))).
3004 :- assert_must_succeed(exhaustive_kernel_fail_check(remove_element_wf(int(1),[int(3),int(1)],
3005 [int(1)],_WF))).
3006 :- assert_must_succeed(exhaustive_kernel_fail_check(remove_element_wf(int(11),[int(1)],
3007 [int(1)],_WF))).
3008 :- assert_must_succeed(exhaustive_kernel_fail_check(remove_element_wf(int(1),[int(3),int(1)],
3009 [],_WF))).
3010 :- assert_must_succeed((kernel_objects:remove_element_wf(fd(1,'Name'),X,[fd(2,'Name'),fd(3,'Name')],_WF),
3011 kernel_objects:equal_object(X,global_set('Name')))).
3012 :- assert_must_succeed((kernel_objects:remove_element_wf(int(1),X,[int(2)],_WF),
3013 kernel_objects:equal_object(X,[int(2),int(1)]))).
3014 :- assert_must_succeed(( kernel_objects:remove_element_wf(int(1),[int(X),int(2)],R,WF), kernel_waitflags:ground_wait_flags(WF),X==1,R==[int(2)] )).
3015 :- assert_must_succeed(( kernel_objects:remove_element_wf(X,[int(1),int(2)],R,WF), kernel_waitflags:ground_wait_flags(WF),X==int(2),R==[int(1)] )).
3016 :- assert_must_succeed(( kernel_objects:remove_element_wf(X,[pred_true /* bool_true */,pred_false /* bool_false */],R,WF), kernel_waitflags:ground_wait_flags(WF),X==pred_false /* bool_false */,R==[pred_true /* bool_true */] )).
3017
3018 ?remove_element_wf(X,Set,Res,WF) :- remove_element_wf(X,Set,Res,WF,_DONE).
3019
3020 :- block remove_element_wf(?,-, -,?,?).
3021 remove_element_wf(X,Set,Res,WF,_DONE) :- Res==[],!, % we know that X must be the only element in Set
3022 equal_object_wf(Set,[X],remove_element_wf,WF).
3023 remove_element_wf(X,Set,Res,WF,DONE) :-
3024 ? remove_element_wf1(X,Set,Res,WF,DONE).
3025
3026 :- block remove_element_wf1(?,-, ?,?,?).
3027 remove_element_wf1(X,avl_set(A),Res,WF,DONE) :- element_can_be_added_or_removed_to_avl(X),!,
3028 /* TO DO: try and move the check about whether X can be added to later; when either X is known
3029 or LWF is instantiated */
3030 remove_element_from_explicit_set(avl_set(A),X,AR),
3031 equal_object_wf(AR,Res,remove_element_wf1,WF), DONE=done.
3032 remove_element_wf1(X,Set,Res,WF,DONE) :- /* DONE is ground when element actually removed */
3033 expand_custom_set_to_list_wf(Set,ESet,_,remove_element_wf1,WF),
3034 %% nl,print(remove_element_wf1(X,Set,ESet,Res,WF,DONE)),nl,nl, %%
3035 ? remove_element_wf2(X,ESet,Res,LWF,DONE),
3036 %when(nonvar(DONE), print_bt_message(removed(X,ESet,Res,LWF))),
3037 (DONE==done -> true
3038 ; same_card_prop(ESet,[X|Res]), % in case result is instantiated: check compatible with inputs
3039 get_cardinality_wait_flag(ESet,remove_element_wf1(X,ESet,Res),WF,LWF),
3040 quick_propagation_element_information(Set,X,WF,_) % use Set rather than ESet; better if still closure or AVL
3041 ).
3042
3043 :- block same_card_prop(-,?), same_card_prop(?,-).
3044 same_card_prop([],[_|_]) :- !, fail.
3045 same_card_prop([_|T],R) :- !,
3046 (R=[] -> fail
3047 ; R=[_|RT] -> same_card_prop(T,RT)
3048 ; true). % just ignore
3049 same_card_prop(_,_).
3050
3051 :- block remove_element_wf2(?,-,?,?,?).
3052 remove_element_wf2(H1,[H2|T],Res,LWF,DONE) :- Res==[],!,
3053 equal_object(H1,H2,remove_element_wf2),
3054 remove_element_wf3(pred_true,H1,H2,T,Res,LWF,DONE).
3055 remove_element_wf2(H1,[H2|T],Res,LWF,DONE) :-
3056 prop_empty_set(T,EqRes),
3057 ? equality_objects_lwf(H1,H2,EqRes,LWF,no_wf_available), % TODO: pass WF
3058 ? remove_element_wf3(EqRes,H1,H2,T,Res,LWF,DONE).
3059 /* important for total_bijection that this has higher priority than other expansions */
3060
3061 :- block prop_empty_set(-,?).
3062 % force second argument to pred_true if first arg is empty set
3063 prop_empty_set([],R) :- !, R=pred_true.
3064 prop_empty_set(_,_).
3065
3066 :- block remove_element_wf3(-,?,?,?,?,-,?).
3067 % remove_element_wf3(EqRes,H1,H2,T,Res,LWF,DONE) :- print(remove_element_wf3(EqRes,H1,H2,T,Res,LWF,DONE)),nl,fail.
3068 remove_element_wf3(pred_true,_H1,_H2,T,Res,_LWF,DONE) :-
3069 ? equal_object(T,Res,remove_element_wf3_1),DONE=done.
3070 remove_element_wf3(pred_false,E,H,T,Res,LWF,DONE) :-
3071 ? equal_object([H|RT],Res,remove_element_wf3_2),
3072 ? remove_element_wf2(E,T,RT,LWF,DONE).
3073
3074 /* the same as above: but do not remove if infinite or closure */
3075
3076 :- block remove_element_wf_if_not_infinite_or_closure(?,-,?,?,?,?).
3077 remove_element_wf_if_not_infinite_or_closure(X,Set, Res,WF,LWF,Done) :-
3078 (dont_expand(Set)
3079 ? -> check_element_of_wf(X,Set,WF),
3080 equal_object_wf(Res,Set,remove_element_wf_if_not_infinite_or_closure,WF),
3081 Done=true % or should we wait until X known ?
3082 %(var(Res)->Res=Set ; equal_object(Res,Set))
3083 ; expand_custom_set_to_list_wf(Set,ESet,_,remove_element_wf_if_not_infinite_or_closure,WF),
3084 ? remove_element_wf2(X,ESet,Res,LWF,Done)
3085 ).
3086
3087 %:- use_module(bmachine_construction,[external_procedure_used/1]).
3088 %dont_expand(global_set('STRING')) :- !. % s: STRING +-> ... will generate new strings !
3089 %(external_procedure_used(_) -> true). % we could check if there is a STRING generating procedure involved
3090 % unless we use external functions, there is *no* way that new strings can be generated from a B machine !
3091 % Hence: we can expand STRING safely and thus avoid infinite enumeration of partial functions, ...
3092 % example: procs : STRING +-> {"waiting"} & card( dom(procs) ) = 6 thus fails quickly
3093 dont_expand(avl_set(_)) :- !,fail.
3094 dont_expand(closure(_,_,_)) :- !. % relevant for tests 283, 1609, 1858
3095 dont_expand(Set) :-
3096 is_infinite_or_very_large_explicit_set(Set).
3097 % should we use a smaller bound than 20000 (comprehension_set_symbolic_limit)? see test 1609
3098
3099
3100 :- assert_must_succeed((kernel_objects:check_no_duplicates_in_list([int(1),int(2)],[],no_wf_available))).
3101 :- assert_must_fail((kernel_objects:check_no_duplicates_in_list([int(1),int(2),int(1)],[],no_wf_available))).
3102
3103 :- block check_no_duplicates_in_list(-,?,?).
3104 check_no_duplicates_in_list([],_,_) :- !.
3105 check_no_duplicates_in_list([H|T],ElementsSoFar,WF) :- !,
3106 ? not_element_of_wf(H,ElementsSoFar,WF),
3107 add_new_element_wf(H,ElementsSoFar,ElementsSoFar2,WF),
3108 check_no_duplicates_in_list(T,ElementsSoFar2,WF).
3109 check_no_duplicates_in_list(CS,ElementsSoFar,WF) :-
3110 disjoint_sets(CS,ElementsSoFar,WF).
3111
3112 :- public warn_if_duplicates_in_list/3.
3113 % code for debugging / safe mode execution to check for duplicates
3114 warn_if_duplicates_in_list(List,Src,WF) :-
3115 %get_last_wait_flag(warn_if_duplicates_in_list,WF,WFX), % we may wish to use another WF here !?
3116 get_enumeration_finished_wait_flag(WF,WFX),
3117 when(nonvar(WFX),warn_if_duplicates_in_list(List,[],Src,WF)).
3118
3119 :- block warn_if_duplicates_in_list(-,?,?,?).
3120 warn_if_duplicates_in_list([],_,_,_) :- !.
3121 warn_if_duplicates_in_list([H|T],ElementsSoFar,Src,WF) :- !,
3122 membership_test_wf(ElementsSoFar,H,MemRes,WF),
3123 warn_aux(MemRes,H,T,ElementsSoFar,Src,WF).
3124 warn_if_duplicates_in_list(CS,ElementsSoFar,Src,WF) :-
3125 when(ground(CS),
3126 (disjoint_sets(CS,ElementsSoFar,WF)
3127 -> true
3128 ; add_error(Src,'Duplicates in list: ',CS:ElementsSoFar:Src))).
3129
3130 :- block warn_aux(-,?,?,?,?,?).
3131 warn_aux(pred_true,H,_,ElementsSoFar,Src,_WF) :-
3132 add_error(Src,'Duplicate in list: ',H:ElementsSoFar:Src).
3133 warn_aux(pred_false,H,T,ElementsSoFar,Src,WF) :-
3134 add_new_element_wf(H,ElementsSoFar,ElementsSoFar2,WF),
3135 warn_if_duplicates_in_list(T,ElementsSoFar2,Src,WF).
3136
3137
3138 :- assert_must_succeed((kernel_objects:remove_exact_first_element([int(1),int(2)],X,[[]]),
3139 X = [[int(1),int(2)],[]])).
3140 :- assert_must_succeed((kernel_objects:remove_exact_first_element(X,global_set('Name'),T),
3141 X==fd(1,'Name'),T==[fd(2,'Name'),fd(3,'Name')])).
3142 :- assert_must_fail((kernel_objects:remove_exact_first_element([[]],X,_),
3143 X = [[int(1),int(2)],[]])).
3144
3145 :- assert_must_succeed((kernel_objects:remove_exact_first_element(X,C,R),
3146 kernel_objects:gen_test_interval_closure(1,2,C),
3147 X == int(1), R == [int(2)] )).
3148
3149 gen_test_interval_closure(From,To,CL) :-
3150 CL=closure(['_zzzz_unary'],[integer],b(member( b(identifier('_zzzz_unary'),integer,[]),
3151 b(interval(b(value(int(From)),integer,[]),
3152 b(value(int(To)),integer,[])),set(integer),[])),pred,[])).
3153
3154 :- block remove_exact_first_element(?,-,?).
3155 remove_exact_first_element(X,Set,Res) :- remove_exact_first_element1(Set,X,Res).
3156
3157 remove_exact_first_element1([],_,_) :- fail.
3158 remove_exact_first_element1([H|T],H,T).
3159 remove_exact_first_element1(avl_set(A),H,T) :- remove_minimum_element_custom_set(avl_set(A),H,T).
3160 remove_exact_first_element1(global_set(GS),H,T) :-
3161 remove_minimum_element_custom_set(global_set(GS),H,T).
3162 remove_exact_first_element1(freetype(GS),H,T) :-
3163 remove_minimum_element_custom_set(freetype(GS),H,T).
3164 remove_exact_first_element1(closure(P,Types,B),H,T) :-
3165 remove_minimum_element_custom_set(closure(P,Types,B),H,T).
3166
3167
3168 :- assert_must_succeed((kernel_objects:delete_element_wf(fd(1,'Name'),X,[fd(2,'Name'),fd(3,'Name')],_WF),
3169 X = global_set('Name'))).
3170 :- assert_must_succeed((kernel_objects:delete_element_wf(int(1),X,[int(2)],_WF),
3171 X = [int(2),int(1)])).
3172 :- assert_must_succeed((kernel_objects:delete_element_wf([int(1),int(2)],X,[],_WF),
3173 X = [[int(2),int(1)]])).
3174 :- assert_must_succeed((kernel_objects:delete_element_wf(int(3),X,[int(2),int(1)],_WF),
3175 X = [int(2),int(1)])).
3176 :- assert_must_succeed((kernel_objects:delete_element_wf(int(1),X,X,_WF),
3177 X = [])).
3178 :- assert_must_fail((kernel_objects:delete_element_wf(int(X),[int(1)],[int(1)],_WF),
3179 X = 1)).
3180
3181 /* WARNING: only use when R is not instantiated by something else;
3182 (except for R=[]) */
3183
3184
3185 :- block delete_element_wf(?,-,?,?).
3186 delete_element_wf(X,Set,Res,WF) :-
3187 ground(X),
3188 try_expand_and_convert_to_avl_with_check(Set,ESet,delete_element_wf),!,
3189 delete_element0(X,ESet,Res,WF).
3190 delete_element_wf(X,Set,Res,WF) :- delete_element1(X,Set,Res,WF).
3191
3192 :- block delete_element0(?,-,?,?).
3193 delete_element0(X,ESet,Res,WF) :-
3194 ( is_custom_explicit_set(ESet,delete_element),
3195 delete_element_from_explicit_set(ESet,X,DS)
3196 -> equal_object_wf(DS,Res,delete_element0,WF)
3197 ; delete_element1(X,ESet,Res,WF)
3198 ).
3199
3200 delete_element1(X,Set,Res,WF) :- expand_custom_set_to_list_wf(Set,ESet,_,delete_element1,WF),
3201 %check_is_expanded_set(ESet,delete_element2),
3202 delete_element2(ESet,X,Res,WF).
3203
3204 :- block delete_element2(-,?,?,?).
3205 delete_element2([],_,[],_). /* same as above, but allow element to be absent */
3206 delete_element2([H2|T],E,R,WF) :-
3207 equality_objects_wf(H2,E,EqRes,WF),
3208 delete_element3(EqRes,H2,T,E,R,WF).
3209 %when_sufficiently_instantiated(E,H2,delete_element3(H1,[H2|T],R)). /* added by Michael Leuschel, 16/3/06 */
3210
3211 :- block delete_element3(-,?,?,?,?,?).
3212 delete_element3(pred_true,_H2,T,_,R,WF) :- equal_object_wf(R,T,delete_element3,WF).
3213 delete_element3(pred_false,H2,T,E,Res,WF) :- equal_cons_wf(Res,H2,RT,WF),delete_element2(T,E,RT,WF).
3214
3215
3216
3217
3218 :- assert_must_succeed(kernel_objects:check_is_expanded_set([int(1)],test)).
3219
3220 :- public check_is_expanded_set/2.
3221 check_is_expanded_set(X,Source) :-
3222 (nonvar(X),(X=[] ; X= [_|_]) -> true
3223 ; add_internal_error('Is not expanded set: ',check_is_expanded_set(X,Source))
3224 ).
3225
3226
3227 /* union/3 */
3228
3229 :- assert_must_succeed(exhaustive_kernel_check([commutative],union([int(3)],[int(2),int(1),int(3)],[int(1),int(3),int(2)]))).
3230 :- assert_must_succeed(exhaustive_kernel_check([commutative],union([int(1)],[int(1),int(2)],[int(1),int(2)]))).
3231 :- assert_must_succeed(exhaustive_kernel_check([commutative],union([int(3)],[int(2),int(1)],[int(1),int(3),int(2)]))).
3232 :- assert_must_succeed(exhaustive_kernel_check([commutative],union([int(3),int(2)],[int(2),int(1)],[int(1),int(3),int(2)]))).
3233 :- assert_must_succeed(exhaustive_kernel_fail_check([commutative],union([int(3),int(4)],[int(2),int(1)],[int(1),int(3),int(2)]))).
3234 :- assert_must_succeed((kernel_objects:union([int(1)],[int(2)],Res),kernel_objects:equal_object(Res,[_,_]))).
3235 :- assert_must_succeed((kernel_objects:union([],[int(2)],Res),
3236 kernel_objects:equal_object(Res,[int(2)]))).
3237 :- assert_must_succeed((kernel_objects:union([int(2)],[],Res),
3238 kernel_objects:equal_object(Res,[int(2)]))).
3239 :- assert_must_succeed((kernel_objects:union([int(2)],[int(2)],Res),
3240 kernel_objects:equal_object(Res,[int(2)]))).
3241 :- assert_must_succeed((kernel_objects:union([int(1)],Res,[int(1),int(2)]),
3242 kernel_objects:equal_object(Res,[int(2)]))).
3243 :- assert_must_succeed((kernel_objects:union([fd(1,'Name')],X,Res),X=global_set('Name'),
3244 kernel_objects:equal_object(Res,X))).
3245 :- assert_must_succeed((kernel_objects:union(X,global_set('Name'),Res),X=[fd(2,'Name'),fd(1,'Name')],
3246 kernel_objects:equal_object(Res,global_set('Name')))).
3247 :- assert_must_succeed((kernel_objects:union([fd(1,'Name')],[fd(3,'Name'),fd(2,'Name')],Res),
3248 kernel_objects:equal_object(Res,global_set('Name')))).
3249 %:- assert_must_succeed((kernel_objects:union([fd(1,'Name')],[fd(3,'Name'),fd(2,'Name')],Res),
3250 % kernel_objects:equal_object(Res,X),X=global_set('Name'))).
3251 :- assert_must_fail((kernel_objects:union([int(1)],[int(2)],Res),
3252 (kernel_objects:equal_object(Res,[_]);kernel_objects:equal_object(Res,[_,_,_|_])))).
3253 :- assert_must_fail((kernel_objects:union([int(1)],[int(1)],Res),(Res=[];kernel_objects:equal_object(Res,[_,_|_])))).
3254 :- assert_must_fail((kernel_objects:union([fd(1,'Name')],[fd(2,'Name')],Res),
3255 kernel_objects:equal_object(Res,global_set('Name')))).
3256 % kernel_objects:union([int(1),int(2)],X,[int(1),int(2),int(3)])
3257
3258 union(S1,S2,Res) :- init_wait_flags(WF,[union]), union_wf(S1,S2,Res,WF), ground_wait_flags(WF).
3259
3260 :- block union_wf(-,-,-,?).
3261 %union_wf(Set1,Set2,Res,_WF) :- print(union_wf(Set1,Set2,Res)),nl,fail.
3262 ?union_wf(Set1,Set2,Res,WF) :- Set1==[],!,equal_object_wf(Set2,Res,union_wf_1,WF).
3263 union_wf(Set1,Set2,Res,WF) :- Set2==[],!,equal_object_wf(Set1,Res,union_wf_2,WF).
3264 union_wf(Set1,Set2,Res,WF) :- Res==[],!,empty_set_wf(Set1,WF), empty_set_wf(Set2,WF).
3265 ?union_wf(Set1,Set2,Res,WF) :- union0(Set1,Set2,Res,WF).
3266
3267 :- block union0(-,-,?,?), union0(-,?,-,?), union0(?,-,-,?). % require two arguments to be known
3268 ?union0(Set1,Set2,Res,WF) :- Set1==[],!,equal_object_wf(Set2,Res,union0_1,WF).
3269 ?union0(Set1,Set2,Res,WF) :- Set2==[],!,equal_object_wf(Set1,Res,union0_2,WF).
3270 union0(Set1,Set2,Res,WF) :- Res==[],!,empty_set_wf(Set1,WF), empty_set_wf(Set2,WF).
3271 union0(Set1,Set2,Res,WF) :- nonvar(Res), singleton_set(Res,X),!,
3272 ? (var(Set1) -> union0_to_singleton_set(Set2,Set1,X,WF) ; union0_to_singleton_set(Set1,Set2,X,WF)).
3273 ?union0(Set1,Set2,Res,WF) :- (var(Set1) -> union1(Set2,Set1,Res,WF) ; union1(Set1,Set2,Res,WF)).
3274
3275 % optimized version for Set1 \/ Set2 = {X}
3276 % TO DO: is not triggered when Set1 and Set2 are instantiated first (before result)
3277 % >>> z:11..12 & {x,y} \/ {v} = {z} does not work
3278 union0_to_singleton_set([],Set2,X,WF) :- !, equal_object_wf(Set2,[X],union0_3,WF). % cannot be reached, due to checks above
3279 ?union0_to_singleton_set([H|T],Set2,X,WF) :- !, empty_set_wf(T,WF), equal_object_wf(H,X,WF),
3280 check_subset_of_wf(Set2,[X],WF).
3281 union0_to_singleton_set(avl_set(A),Set2,X,WF) :- !, singleton_set(avl_set(A),AEl),
3282 equal_object_wf(AEl,X,WF),
3283 check_subset_of_wf(Set2,[X],WF).
3284 union0_to_singleton_set(Set1,Set2,X,WF) :- % closure or global_set; revert to normal treatment
3285 union1(Set1,Set2,[X],WF).
3286
3287 union1(Set1,Set2,Res,WF) :- var(Set2), dont_expand_this_explicit_set(Set1), !,
3288 block_union1e(Set2,Set1,Res,WF). % try avoid expanding Set1 and wait until Set2 becomes known, may enable symbolic union
3289 union1(Set1,Set2,Res,WF) :-
3290 try_expand_and_convert_to_avl_unless_large_or_closure_wf(Set1,ESet1,WF),
3291 try_expand_and_convert_to_avl_unless_large_or_closure_wf(Set2,ESet2,WF),
3292 ? union1e(ESet1,ESet2,Res,WF).
3293
3294 try_expand_and_convert_to_avl_unless_large_or_closure_wf(Set,ESet,_) :-
3295 (var(Set);Set=closure(_,_,_)),!,ESet=Set.
3296 try_expand_and_convert_to_avl_unless_large_or_closure_wf(Set,ESet,WF) :-
3297 try_expand_and_convert_to_avl_unless_large_wf(Set,ESet,WF).
3298
3299 :- block block_union1e(-,?,?,?).
3300 block_union1e(Set1,Set2,Res,WF) :- Res==[],!,
3301 empty_set_wf(Set1,WF), empty_set_wf(Set2,WF).
3302 block_union1e(Set1,Set2,Res,WF) :-
3303 union1e(Set1,Set2,Res,WF).
3304
3305 union1e(Set1,Set2,Res,WF) :-
3306 is_custom_explicit_set(Set1,union1e),
3307 union_of_explicit_set(Set1,Set2,Union),
3308 ? !, equal_object_wf(Union,Res,union1e,WF).
3309 union1e(Set2,Set1,Res,WF) :- % Set2=avl_set(_), nonvar(Set1), Set1 \= avl_set(_),
3310 nonvar(Set1), Set1=avl_set(_), Set2 \= avl_set(_), \+ ground(Set2),
3311 !, % avoid expanding Set2
3312 expand_custom_set_to_list_wf(Set1,ESet1,_,union1e_1,WF),
3313 ? union2(ESet1,Set2,Res,WF), lazy_check_subset_of(Set2,Res,WF).
3314 union1e(Set1,Set2,Res,WF) :-
3315 expand_custom_set_to_list_wf(Set1,ESet1,_,union1e_2,WF), % we could avoid this expansion by treating avl_set,... below in union2
3316 ? union2(ESet1,Set2,Res,WF),
3317 ? lazy_check_subset_of(Set1,Res,WF), % ADDED to solve {x,y| { x \/ y } <: {{1} \/ {2}}}
3318 lazy_check_subset_of(Set2,Res,WF) % could perform additional constraint checking
3319 % ,try_prop_card_leq(ESet1,Res), try_prop_card_leq(Set2,Res). %%% seems to slow down ProB: investigate
3320 .
3321
3322 /* not yet used:
3323 % lazy_check_in_union(R,Set1,Set2,WF): check if all elements of R appear in at least one of the sets Sets1/2:
3324 :- block lazy_check_in_union(-,?,?,?).
3325 lazy_check_in_union([],_,_,_) :- !.
3326 lazy_check_in_union([H|T],Set1,Set2,WF) :- !,
3327 in_one_of_sets(H,Set1,Set2,WF),
3328 lazy_check_in_union(T,Set1,Set2,WF).
3329 lazy_check_in_union(_,_,_,_).
3330
3331 % check if an element appear in at least one of the two sets:
3332 in_one_of_sets(H,Set1,Set2,WF) :-
3333 membership_test_wf(Set1,H,MemRes1,WF),
3334 (MemRes1==pred_true -> true
3335 ; one_true(MemRes1,MemRes2),
3336 membership_test_wf(Set2,H,MemRes2,WF)
3337 ).
3338
3339 :- block one_true(-,-).
3340 one_true(MemRes1,MemRes2) :- var(MemRes1),!,
3341 (MemRes2=pred_false -> MemRes1=pred_true ; true).
3342 one_true(pred_true,_).
3343 one_true(pred_false,pred_true).
3344 */
3345
3346
3347 :- block lazy_try_check_element_of(?,-,?).
3348 ?lazy_try_check_element_of(H,Set,WF) :- lazy_check_element_of_aux(Set,H,WF).
3349
3350 lazy_check_element_of_aux(closure(P,T,B),H,WF) :- !, check_element_of_wf(H,closure(P,T,B),WF).
3351 ?lazy_check_element_of_aux(avl_set(A),H,WF) :- !, check_element_of_wf(H,avl_set(A),WF).
3352 lazy_check_element_of_aux([X|T],H,WF) :- !, lazy_check_element_of_list(T,X,H,WF).
3353 lazy_check_element_of_aux(_,_,_).
3354
3355 :- block lazy_check_element_of_list(-,?,?,?).
3356 ?lazy_check_element_of_list([],X,H,WF) :- !, equal_object_wf(X,H,WF).
3357 lazy_check_element_of_list([Y|T],X,H,WF) :- !,
3358 ? quick_propagation_element_information([X,Y|T],H,WF,_). % TO DO: check that we loose no performance due to this
3359 lazy_check_element_of_list(_,_,_,_).
3360
3361 % an incomplete subset check without enumeration
3362 :- block lazy_check_subset_of(-,?,?), lazy_check_subset_of(?,-,?).
3363 lazy_check_subset_of(Set1,Set2,WF) :- nonvar(Set2),
3364 ? (Set2=closure(_,_,_) ; Set2=avl_set(_)),!, lazy_check_subset_of2(Set1,Set2,WF).
3365 lazy_check_subset_of(_,_,_). % ignore other set representations
3366 :- block lazy_check_subset_of2(-,?,?).
3367 lazy_check_subset_of2([],_,_WF) :- !.
3368 ?lazy_check_subset_of2([H|T],Set,WF) :- !, check_element_of_wf(H,Set,WF), lazy_check_subset_of2(T,Set,WF).
3369 lazy_check_subset_of2(_,_,_). % ignore other set representations
3370
3371 :- block union2(-,?,?,?).
3372 ?union2([],S,Res,WF) :- equal_object_optimized_wf(S,Res,union2,WF).
3373 union2([H|T],Set2,Res,WF) :-
3374 (T\==[],nonvar(Set2), Set2=[H2|T2], T2==[] % minor optimisation for improved propagation; e.g., for x:S & S<:1..13 & S \/ {x} = S2 & x/: S2
3375 % the constraint is not yet detected straight away: x:S & S<:1..12 & S \/ {x} /= S
3376 ? -> union3(H2,T2,[H|T],Res,WF)
3377 ? ; union3(H,T,Set2,Res,WF)
3378 ).
3379 union3(H,T,Set2,Res,WF) :-
3380 add_element_wf(H,Set2,R,Done,WF),
3381 ? lazy_try_check_element_of(H,Res,WF), % TO DO: propagate constraint that H is in Res
3382 (T==[]
3383 ? -> equal_object_optimized_wf(R,Res,union3,WF) %union2(T,R,Res,WF)
3384 ? ; union4(Done,T,R,Res,WF)).
3385 :- block union4(-,?,?,?,?).
3386 ?union4(_Done,T,R,Res,WF) :- union2(T,R,Res,WF). % if WF not set to 2 there maybe equality_objects pending from add_element_wf ! TO DO: investigate; see test 293
3387
3388
3389 :- assert_must_succeed(exhaustive_kernel_check(union_generalized([[int(3)],[int(2),int(1),int(3)]],[int(1),int(3),int(2)]))).
3390 :- assert_must_succeed(exhaustive_kernel_check(union_generalized([[int(3),int(2)],[],[int(2),int(1),int(3)]],[int(1),int(3),int(2)]))).
3391 :- assert_must_succeed(exhaustive_kernel_fail_check(union_generalized([[int(3)],[int(3),int(4)],[int(2),int(1),int(3)]],[int(1),int(3),int(2)]))).
3392 :- assert_must_succeed((kernel_objects:union_generalized([[]],Res),Res=[])).
3393 :- assert_must_succeed((kernel_objects:union_generalized([[int(1)],[int(2)]],Res),
3394 kernel_objects:equal_object(Res,[_,_]))).
3395 :- assert_must_succeed((kernel_objects:union_generalized([[int(1)],[int(2),int(1)]],Res),
3396 kernel_objects:equal_object(Res,[_,_]))).
3397 :- assert_must_succeed((kernel_objects:union_generalized([[int(1)],[int(2),int(1)],[],[int(2)]],Res),
3398 kernel_objects:equal_object(Res,[_,_]))).
3399 :- assert_must_succeed((kernel_objects:union_generalized([[int(1)],[int(2)],X],Res),
3400 kernel_objects:equal_object(X,Res), X = [int(2),int(1),int(3)])).
3401 :- assert_must_succeed((kernel_objects:union_generalized([global_set('Name'),X,X,X],Res),
3402 kernel_objects:equal_object(global_set('Name'),Res), X = [fd(2,'Name'),fd(1,'Name')])).
3403 :- assert_must_succeed((kernel_objects:union_generalized([X,global_set('Name')],Res),
3404 kernel_objects:equal_object(global_set('Name'),Res), X = [fd(2,'Name'),fd(1,'Name')])).
3405 :- assert_must_fail((kernel_objects:union_generalized([[int(1)],[int(2)]],Res),(Res=[_];
3406 kernel_objects:equal_object(Res,[_,_,_|_])))).
3407 :- assert_must_fail((kernel_objects:union_generalized([[int(1)],[int(1)]],Res),(Res=[];
3408 kernel_objects:equal_object(Res,[_,_|_])))).
3409
3410 % treates the general_union AST node (union(.) in B syntax)
3411 union_generalized(S,Res) :- init_wait_flags(WF), union_generalized_wf(S,Res,WF), ground_wait_flags(WF).
3412
3413 :- block union_generalized_wf(-,-,?).
3414 union_generalized_wf(SetsOfSets,Res,WF) :- var(SetsOfSets), Res==[],!,
3415 expand_custom_set_to_list_wf(SetsOfSets,ESetsOfSets,_,union_generalized_wf,WF),
3416 all_empty_sets_wf(ESetsOfSets,WF).
3417 union_generalized_wf(SetsOfSets,Res,WF) :-
3418 ? union_generalized_wf2(SetsOfSets,Res,WF).
3419
3420 :- block union_generalized_wf2(-,?,?).
3421 union_generalized_wf2(SetsOfSets,Res,WF) :-
3422 custom_explicit_sets:union_generalized_explicit_set(SetsOfSets,ARes,WF),!,
3423 ? equal_object_optimized_wf(ARes,Res,union_generalized_avl_set,WF).
3424 union_generalized_wf2(SetsOfSets,Res,WF) :-
3425 expand_custom_set_to_list_wf(SetsOfSets,ESetsOfSets,_,union_generalized_wf2,WF),
3426 ? union_generalized2(ESetsOfSets,[],Res,WF).
3427
3428 :- block union_generalized2(-,?,?,?).
3429 ?union_generalized2([],S,Res,WF) :- equal_object_optimized_wf(S,Res,union_generalized2,WF).
3430 union_generalized2([H|T],UnionSoFar,Res,WF) :-
3431 Res==[],
3432 !,
3433 empty_set_wf(H,WF),
3434 empty_set_wf(UnionSoFar,WF),
3435 all_empty_sets_wf(T,WF).
3436 union_generalized2([H|T],UnionSoFar,Res,WF) :- union_wf(H,UnionSoFar,UnionSoFar2,WF),
3437 ((var(T);var(UnionSoFar2)),
3438 nonvar(Res),is_custom_explicit_set(Res,union_generalized2) % check important for Schneider2_Trees/NewSolver_v3_complex.mch and query CHOOSE_MODULES("bk-phi-H-2013", solution) (0.1 vs 0.9 secs)
3439 -> check_subset_of_wf(H,Res,WF)
3440 % this is only a very weak propagation; example, for union(v) = {4444} & v={{x},{y},{z}} we will instantiate v={{4444},...} and z=4444; see also test 1216
3441 ; true),
3442 union_generalized2(T,UnionSoFar2,Res,WF).
3443
3444 :- block all_empty_sets_wf(-,?).
3445 all_empty_sets_wf([],_).
3446 all_empty_sets_wf([H|T],WF) :- empty_set_wf(H,WF), all_empty_sets_wf(T,WF).
3447
3448 :- assert_must_succeed(exhaustive_kernel_check([commutative],intersection([int(3)],[int(2),int(1),int(3)],[int(3)]))).
3449 :- assert_must_succeed(exhaustive_kernel_check([commutative],intersection([int(4),int(3),int(2)],[int(2),int(1),int(3)],[int(2),int(3)]))).
3450 :- assert_must_succeed(exhaustive_kernel_check([commutative],intersection([int(4),int(3),int(2)],[],[]))).
3451 :- assert_must_succeed(exhaustive_kernel_fail_check([commutative],intersection([int(1),int(3)],[int(4),int(3),int(2)],[]))).
3452 :- assert_must_succeed((kernel_objects:intersection(Y,X,Res),X=global_set('Name'),
3453 kernel_objects:equal_object(Res,Y), Y =[fd(1,'Name')])).
3454 :- assert_must_succeed((kernel_objects:intersection([int(1)],[int(2)],Res),Res=[])).
3455 :- assert_must_succeed((kernel_objects:intersection([int(1)],[int(2)],[]))).
3456 :- assert_must_fail((kernel_objects:intersection([int(1),int(4),int(3)],[int(2),int(3)],[]))).
3457 :- assert_must_succeed((kernel_objects:intersection([int(1),int(2)],[int(2),int(1)],_))).
3458 :- assert_must_succeed((kernel_objects:intersection([int(1),int(2)],[int(2),int(1)],[int(2),int(1)]))).
3459 :- assert_must_succeed((kernel_objects:intersection([int(1),int(2)],[int(2),int(1)],[int(1),int(2)]))).
3460 :- assert_must_succeed((kernel_objects:intersection([int(1),int(2)],[int(2),int(3)],Res),
3461 kernel_objects:equal_object(Res,[int(2)]))).
3462 :- assert_must_succeed((kernel_objects:intersection([int(2)],[int(2)],Res),
3463 kernel_objects:equal_object(Res,[int(2)]))).
3464 :- assert_must_succeed((kernel_objects:intersection([int(2),int(3)],[int(3),int(4),int(2)],Res),
3465 kernel_objects:equal_object(Res,[int(2),int(3)]))).
3466 :- assert_must_fail((kernel_objects:intersection([int(1)],[int(2)],Res),(
3467 kernel_objects:equal_object(Res,[_|_])))).
3468 :- assert_must_fail((kernel_objects:intersection([int(1)],[int(1)],Res),(Res=[];
3469 kernel_objects:equal_object(Res,[_,_|_])))).
3470 :- assert_must_fail((kernel_objects:intersection([fd(1,'Name')],X,Res),X=global_set('Name'),
3471 kernel_objects:equal_object(Res,X))).
3472
3473
3474 intersection(S1,S2,Res) :- init_wait_flags(WF,[intersection]), intersection(S1,S2,Res,WF), ground_wait_flags(WF).
3475
3476 :- block intersection(-,-,-,?).
3477 intersection(Set1,Set2,Res,WF) :- (Set1==[] ; Set2==[]),!, empty_set_wf(Res,WF).
3478 intersection(Set1,Set2,Res,WF) :- quick_same_value(Set1,Set2),!,
3479 equal_object_wf(Res,Set1,inter0_equal,WF).
3480 intersection(Set1,Set2,Res,WF) :- Res==[],!,
3481 disjoint_sets(Set1,Set2,WF).
3482 intersection(Set1,Set2,Res,WF) :- % now we need to know at least a bit about both Set1 and Set2; at least given the current code below; TO DO: infer that {x} /\ s = {x} => x:s
3483 ? intersection0(Set1,Set2,Res,WF),
3484 ? propagate_intersection(Set1,Set2,Res,WF).
3485
3486 :- block propagate_intersection(?,?,-,?). % propagate constraint that result elements must be in both sets
3487 propagate_intersection(Set1,Set2,[H|T],WF) :-
3488 preference(data_validation_mode,false),
3489 !,
3490 ? propagate_intersection_aux(Set1,Set2,H,T,WF).
3491 propagate_intersection(Set1,Set2,avl_set(A),WF) :- !,
3492 ((unknown_set(Set1) ; unknown_set(Set2)) % otherwise intersection0 has already triggered below
3493 -> custom_explicit_sets:avl_approximate_size(A,Size),
3494 (Size<20
3495 -> expand_custom_set_to_list_wf(avl_set(A),ESet,_,propagate_intersection,WF)
3496 ; avl_min(A,Min), avl_max(A,Max), ESet=[Min,Max]
3497 ),
3498 ? propagate_intersection(Set1,Set2,ESet,WF)
3499 ; true).
3500 % other cases: Set1,2,3 could be interval closure with unknown bounds,...
3501 propagate_intersection(_,_,_,_).
3502
3503 :- block propagate_intersection_aux(-,-,-,?,?).
3504 propagate_intersection_aux(Set1,Set2,H,T,WF) :-
3505 ((unknown_set(Set1) ; unknown_set(Set2)) % otherwise intersection0 has already triggered below
3506 ? -> check_element_of_wf(H,Set1,WF), % should we do this lazily ?
3507 ? check_element_of_wf(H,Set2,WF),
3508 ? propagate_intersection(Set1,Set2,T,WF)
3509 ; true).
3510
3511 unknown_set(Set) :- var(Set),!.
3512 unknown_set([H|T]) :- (unknown_val(H) -> true ; unknown_set(T)).
3513 unknown_val(Val) :- var(Val),!.
3514 unknown_val(int(X)) :- var(X).
3515 unknown_val(string(X)) :- var(X).
3516 unknown_val(fd(X,_)) :- var(X).
3517 unknown_val((A,B)) :- (unknown_val(A) -> true ; unknown_val(B)).
3518 unknown_val([H|T]) :- (unknown_val(H) -> true ; unknown_set(T)).
3519
3520 :- block intersection0(-,?,?,?), intersection0(?,-,?,?).
3521 intersection0(Set1,Set2,Res,WF) :-
3522 (Set1==[] ; Set2==[]),!, empty_set_wf(Res,WF).
3523 intersection0(Set1,Set2,Res,WF) :- quick_same_value(Set1,Set2),!,
3524 ? equal_object_wf(Res,Set1,inter0_equal,WF).
3525 intersection0(Set1,Set2,Res,WF) :- Res==[],!,
3526 disjoint_sets(Set1,Set2,WF).
3527 intersection0([El1|T1],[El2|T2],Res,WF) :- T1==[],T2==[],
3528 !, % avoid doing intersection_with_interval_closure, especially for nonvar El1,El2 ; see test 2021
3529 equality_objects_wf(El1,El2,EqRes,WF),
3530 kernel_equality:empty_set_test_wf(Res,Empty,WF),
3531 bool_pred:negate(Empty,EqRes),
3532 intersection_pair(EqRes,El1,El2,Res,WF).
3533 intersection0(Set1,Set2,Res,WF) :-
3534 ? intersection_with_interval_closure(Set1,Set2,Inter),!, % avoid expanding intervals at all
3535 equal_object_wf(Inter,Res,intersection0,WF).
3536 intersection0(Set1,Set2,Res,WF) :-
3537 try_expand_and_convert_to_avl_unless_large_wf(Set1,ESet1,WF),
3538 try_expand_and_convert_to_avl_unless_large_wf(Set2,ESet2,WF),
3539 ? intersection1(ESet1,ESet2,Res,WF).
3540
3541 % treat {El1} /\ {El2} = Res
3542 :- block intersection_pair(-,?,?,?,?).
3543 intersection_pair(pred_false,_,_,_,_). % empty_set_test_wf above will set Res to empty_set
3544 ?intersection_pair(pred_true,El1,_El2,Res,WF) :- equal_object_wf(Res,[El1],intersection_pair,WF).
3545
3546 intersection1(Set1,Set2,Res,WF) :- nonvar(Set1),is_custom_explicit_set(Set1,intersection),
3547 intersection_of_explicit_set_wf(Set1,Set2,Inter,WF), !,
3548 ? equal_object_wf(Inter,Res,intersection1,WF).
3549 intersection1(Set1,Set2,Res,WF) :-
3550 (Res==[] ->
3551 disjoint_sets(Set1,Set2,WF)
3552 ;
3553 ? (swap_set(Set1,Set2) -> intersection2(Set2,Set1,Res,WF)
3554 ? ; intersection2(Set1,Set2,Res,WF))
3555 ).
3556
3557 swap_set(Set1,_Set2) :- var(Set1),!.
3558 swap_set(_Set1,Set2) :- var(Set2),!,fail.
3559 %swap_set(_Set1,Set2) :- is_infinite_explicit_set(Set2),!,fail.
3560 swap_set(avl_set(_),Set2) :- \+ functor(Set2,avl_set,2), %Set2 \= avl_set(_),
3561 Set2 \= [],
3562 \+ functor(Set2,closure,3), %Set2 \= closure(_,_,_),
3563 \+ functor(Set2,global_set,1). %Set2 \= global_set(_). % if it was a small closure, intersection_of_explicit_set should have triggered
3564 swap_set(closure(_P,_T,_B),Set2) :- ok_to_swap(Set2). % TO DO: for two closures: we could try and use the smallest one as first argument to intersection2
3565 swap_set(global_set(_GS),Set2) :- ok_to_swap(Set2).
3566
3567 ok_to_swap(global_set(GS)) :- !, \+ is_infinite_or_very_large_explicit_set(global_set(GS),1000000).
3568 ok_to_swap(closure(P,T,B)) :- !,\+ is_infinite_or_very_large_explicit_set(closure(P,T,B),1000000).
3569 ok_to_swap(_).
3570 % maybe also use is_efficient_custom_set as below ??
3571 % what about freetype ?
3572
3573
3574 intersection2(Set1,Set2,Res,WF) :-
3575 expand_custom_set_to_list_wf(Set1,ESet1,_,intersection2,WF),
3576 ? intersection3(ESet1,Set2,Res,WF).
3577 :- block intersection3(-,?,?,?).
3578 ?intersection3([],_,Res,WF) :- empty_set_wf(Res,WF).
3579 intersection3([H|T],Set,Res,WF) :-
3580 (Res==[]
3581 -> not_element_of_wf(H,Set,WF),intersection3(T,Set,Res,WF)
3582 ; membership_test_wf(Set,H,MemRes,WF),
3583 ? intersection4(MemRes,H,T,Set,Res,WF)
3584 ).
3585
3586 :- block intersection4(-,?,?, ?,?,?).
3587 intersection4(pred_true,H,T,Set,Result,WF) :-
3588 ? equal_object_wf([H|Res],Result,intersection4,WF),
3589 ? intersection3(T,Set,Res,WF).
3590 intersection4(pred_false,_H,T,Set,Res,WF) :-
3591 ? intersection3(T,Set,Res,WF).
3592
3593
3594 :- assert_must_succeed(exhaustive_kernel_check_wfdet(disjoint_sets([int(5)],[int(2),int(1),int(3)],WF),WF)).
3595 :- assert_must_succeed(exhaustive_kernel_check_wfdet(disjoint_sets([int(5)],[],WF),WF)).
3596 :- assert_must_succeed(exhaustive_kernel_check_wfdet(disjoint_sets([int(5),int(2)],[int(6),int(1),int(3)],WF),WF)).
3597
3598 disjoint_sets(S1,S2) :- init_wait_flags(WF,[disjoint_sets]),
3599 disjoint_sets(S1,S2,WF),
3600 ground_wait_flags(WF).
3601
3602 :- block disjoint_sets(-,?,?), disjoint_sets(?,-,?).
3603 disjoint_sets(S1,S2,WF) :-
3604 % TO DO: we could provide faster code for two avl sets / intervals; but probably caught in intersection code above?
3605 ((S1==[];S2==[]) -> true
3606 ; is_interval_closure_or_integerset(S1,Low1,Up1),
3607 nonvar(Low1), nonvar(Up1), % avoid applying it to e.g., {x} /\ 0..2000 = {} from test 1165
3608 is_interval_closure_or_integerset(S2,Low2,Up2), nonvar(Low2), nonvar(Up2) ->
3609 custom_explicit_sets:disjoint_intervals_with_inf(Low1,Up1,Low2,Up2)
3610 ; is_efficient_custom_set(S2) -> expand_custom_set_to_list_wf(S1,ESet1,_,disjoint_sets_1,WF),
3611 % TODO: treat is_infinite_or_symbolic_closure S1
3612 disjoint_sets2(ESet1,S2,WF)
3613 ; is_efficient_custom_set(S1) -> expand_custom_set_to_list_wf(S2,ESet2,_,disjoint_sets_2,WF),
3614 disjoint_sets2(ESet2,S1,WF)
3615 ; expand_custom_set_to_list_wf(S1,ESet1,_,disjoint_sets_3,WF),
3616 %expand_custom_set_to_list_wf(S2,ESet2,_,disjoint_sets_4,WF),
3617 ? disjoint_sets2(ESet1,S2,WF)
3618 ).
3619
3620 % TO DO: we could infer some constraints on the possible max sizes of the sets
3621 % for finite types (sum of size must be <= size of type)
3622 :- block disjoint_sets2(-,?,?).
3623 disjoint_sets2([],_,_WF).
3624 ?disjoint_sets2([H|T],S2,WF) :- not_element_of_wf(H,S2,WF), disjoint_sets2(T,S2,WF).
3625
3626 % NOT YET USED: not_disjoint_sets could be used for S /\ R /= {}
3627 :- assert_must_succeed(exhaustive_kernel_check_wfdet(not_disjoint_sets([int(3)],[int(2),int(1),int(3)],WF),WF)).
3628 :- block not_disjoint_sets(-,?,?), not_disjoint_sets(?,-,?).
3629 not_disjoint_sets(S1,S2,WF) :-
3630 ((S1==[];S2==[]) -> fail
3631 ; is_efficient_custom_set(S2) -> expand_custom_set_to_list_wf(S1,ESet1,_,disjoint_sets_1,WF),
3632 not_disjoint_sets2(ESet1,S2,WF)
3633 ; is_efficient_custom_set(S1) -> expand_custom_set_to_list_wf(S2,ESet2,_,disjoint_sets_2,WF),
3634 not_disjoint_sets2(ESet2,S1,WF)
3635 ; expand_custom_set_to_list_wf(S1,ESet1,_,disjoint_sets_3,WF),
3636 %expand_custom_set_to_list_wf(S2,ESet2,_,disjoint_sets_4,WF),
3637 not_disjoint_sets2(ESet1,S2,WF)
3638 ).
3639
3640 :- block not_disjoint_sets2(-,?,?).
3641 not_disjoint_sets2([],_,_WF).
3642 not_disjoint_sets2([H|T],S2,WF) :- membership_test_wf(S2,H,MemRes,WF), not_disjoint3(MemRes,T,S2,WF).
3643
3644 :- block not_disjoint3(-,?,?,?).
3645 not_disjoint3(pred_true,_,_,_).
3646 not_disjoint3(pred_false,T,S2,WF) :- not_disjoint_sets2(T,S2,WF).
3647
3648 test_disjoint_wf(S1,S2,DisjRes,WF) :-
3649 intersection(S1,S2,Inter,WF), % TODO: could be done more efficiently, without computing full intersection
3650 empty_set_test_wf(Inter,DisjRes,WF).
3651
3652 :- assert_must_succeed(exhaustive_kernel_check_wfdet(intersection_generalized_wf([[int(3)],[int(2),int(1),int(3)]],[int(3)],unknown,WF),WF)).
3653 :- assert_must_succeed(exhaustive_kernel_check_wfdet(intersection_generalized_wf([[int(3),int(2)],[int(2),int(1),int(3)],[int(4),int(3)]],[int(3)],unknown,WF),WF)).
3654 :- assert_must_succeed((kernel_objects:intersection_generalized_wf(avl_set(node(avl_set(node(fd(1,'Name'),true,1,empty,node(fd(2,'Name'),true,0,empty,empty))),
3655 true,1,empty,node(avl_set(node(fd(2,'Name'),true,1,empty,node(fd(3,'Name'),true,0,empty,empty))),true,0,empty,empty))),
3656 avl_set(node(fd(2,'Name'),true,0,empty,empty)),unknown,_WF))).
3657 :- assert_must_succeed((kernel_objects:intersection_generalized_wf([[int(1)],[int(2)]],Res,unknown,_WF),Res=[])).
3658 :- assert_must_succeed((kernel_objects:intersection_generalized_wf([[int(1)],[int(2),int(1)]],Res,unknown,_WF),
3659 kernel_objects:equal_object(Res,[int(1)]))).
3660 :- assert_must_succeed((kernel_objects:intersection_generalized_wf([[int(1)],X,[int(2),int(3),int(1)]],Res,unknown,_WF),
3661 X = [int(2),int(1)],
3662 kernel_objects:equal_object(Res,[int(1)]))).
3663 :- assert_must_succeed((kernel_objects:intersection_generalized_wf([X,X,[int(2),int(3),int(1)]],Res,unknown,_WF),
3664 X = [int(2),int(1)], kernel_objects:equal_object(Res,[int(1),int(2)]))).
3665 :- assert_must_succeed((kernel_objects:intersection_generalized_wf([[int(2),int(1),int(3)],X,[int(1),int(2)],X],Res,unknown,_WF),
3666 kernel_objects:equal_object(X,Res), X = [int(2),int(1)])).
3667 :- assert_must_succeed((kernel_objects:intersection_generalized_wf([global_set('Name'),X],Res,unknown,_WF),
3668 kernel_objects:equal_object(X,Res), X = [fd(2,'Name'),fd(1,'Name')])).
3669 :- assert_must_fail((kernel_objects:intersection_generalized_wf([[int(1)],[int(2)]],Res,unknown,_WF),(
3670 kernel_objects:equal_object(Res,[_|_])))).
3671 :- assert_must_fail((kernel_objects:intersection_generalized_wf([[int(1)],[int(1)]],Res,unknown,_WF),(Res=[];
3672 kernel_objects:equal_object(Res,[_,_|_])))).
3673 :- assert_must_abort_wf(kernel_objects:intersection_generalized_wf([],_R,unknown,WF),WF).
3674
3675 % code for general_intersection
3676 :- block intersection_generalized_wf(-,?,?,?).
3677 intersection_generalized_wf(SetsOfSets,Res,Span,WF) :-
3678 expand_custom_set_to_list_wf(SetsOfSets,ESetsOfSets,_,intersection_generalized_wf,WF),
3679 intersection_generalized2(ESetsOfSets,Res,Span,WF).
3680
3681 intersection_generalized2([],Res,Span,WF) :- /* Atelier-B manual requires argument to inter to be non-empty */
3682 add_wd_error_set_result('inter applied to empty set','',Res,[],Span,WF).
3683 intersection_generalized2([H|T],Res,_Span,WF) :- intersection_generalized3(T,H,Res,WF).
3684 :- block intersection_generalized3(-,?,?,?).
3685 intersection_generalized3([],SoFar,Res,WF) :- equal_object_optimized_wf(SoFar,Res,intersection_generalized3,WF).
3686 intersection_generalized3([H|T],InterSoFar,Res,WF) :-
3687 intersection(H,InterSoFar,InterSoFar2,WF),
3688 intersection_generalized3(T,InterSoFar2,Res,WF).
3689
3690 :- assert_must_succeed(exhaustive_kernel_check(difference_set([int(3),int(2)],[int(2),int(1),int(3)],[]))).
3691 :- assert_must_succeed(exhaustive_kernel_check(difference_set([int(3),int(2)],[int(2),int(1),int(4)],[int(3)]))).
3692 :- assert_must_succeed((kernel_objects:difference_set(SSS,[[int(1),int(2)]],[]),
3693 kernel_objects:equal_object(SSS,[[int(2),int(1)]]))).
3694 :- assert_must_succeed((kernel_objects:difference_set(SSS,[[int(1),int(2)]],R), kernel_objects:equal_object(R,[]),
3695 kernel_objects:equal_object(SSS,[[int(2),int(1)]]))).
3696 :- assert_must_succeed((kernel_objects:difference_set(SSS,[[fd(1,'Name'),fd(2,'Name')]],R),
3697 kernel_objects:equal_object(R,[]),
3698 kernel_objects:equal_object(SSS,[[fd(2,'Name'),fd(1,'Name')]]))).
3699 :- assert_must_succeed((kernel_objects:difference_set(SSS,[[int(1),int(2)]],[]),
3700 kernel_objects:equal_object(SSS,[[int(1),int(2)]]))).
3701 :- assert_must_succeed((kernel_objects:difference_set([int(1),int(2)],[int(1)],_))).
3702 :- assert_must_succeed((kernel_objects:difference_set([int(1),int(2)],[int(2)],_))).
3703 :- assert_must_succeed((kernel_objects:difference_set([int(1),int(2)],[int(2)],[int(1)]))).
3704 :- assert_must_succeed((kernel_objects:difference_set([int(1),int(2)],[],[int(2),int(1)]))).
3705 :- assert_must_succeed((kernel_objects:difference_set([],[int(1),int(2)],[]))).
3706 :- assert_must_succeed((kernel_objects:difference_set(Y,X,Res),X=global_set('Name'),
3707 kernel_objects:equal_object(Res,[]), Y =[fd(1,'Name')])).
3708 :- assert_must_succeed((kernel_objects:difference_set(X,Y,Res),X=global_set('Name'),
3709 kernel_objects:equal_object(Res,[fd(3,'Name'),fd(1,'Name')]), Y =[fd(2,'Name')])).
3710 :- assert_must_fail((kernel_objects:difference_set(X,Y,Res),X=global_set('Name'),
3711 kernel_objects:equal_object(Res,[]), Y =[fd(1,'Name'),fd(2,'Name')])).
3712 :- assert_must_fail((kernel_objects:difference_set(Y,X,Res),X=global_set('Name'),
3713 kernel_objects:equal_object(Res,Y), Y =[fd(1,'Name')])).
3714
3715 % deals with set_subtraction AST node
3716 difference_set(Set1,Set2,Res) :- init_wait_flags(WF),
3717 difference_set_wf(Set1,Set2,Res,WF),
3718 ground_wait_flags(WF).
3719
3720 :- block difference_set_wf(-,-,?,?).
3721 difference_set_wf(Set1,_,Res,WF) :- Set1==[],!,empty_set_wf(Res,WF).
3722 difference_set_wf(Set1,Set2,Res,WF) :- Set2==[],!,equal_object_wf(Set1,Res,difference_set_wf,WF).
3723 ?difference_set_wf(Set1,Set2,Res,WF) :- difference_set1(Set1,Set2,Res,WF).
3724
3725
3726 :- block difference_set1(?,-,-,?), difference_set1(-,?,-,?).
3727 difference_set1(Set1,Set2,Res,WF) :-
3728 nonvar(Set1),is_custom_explicit_set(Set1,difference_set),
3729 difference_of_explicit_set_wf(Set1,Set2,Diff,WF), !,
3730 ? equal_object_wf(Diff,Res,difference_set1_1,WF).
3731 ?difference_set1(Set1,Set2,Res,WF) :- Set2==[],!,equal_object_wf(Set1,Res,difference_set1_2,WF).
3732 ?difference_set1(Set1,Set2,Res,WF) :- Res==[],!, check_subset_of_wf(Set1,Set2,WF).
3733 difference_set1(Set1,Set2,Res,WF) :-
3734 expand_custom_set_to_list_wf(Set1,ESet1,_,difference_set1,WF),
3735 ? compute_diff(ESet1,Set2,Res,WF),
3736 ? propagate_into2(Res,ESet1,Set2,WF).
3737
3738 :- block compute_diff(-,?,?,?).
3739 ?compute_diff([],_Set2,Res,WF) :- empty_set_wf(Res,WF).
3740 compute_diff([H|T],Set2,Res,WF) :-
3741 ? membership_test_wf(Set2,H,MemRes,WF),compute_diff2(MemRes,H,T,Set2,Res,WF).
3742
3743 :- block compute_diff2(-,?,?,?,?,?).
3744 ?compute_diff2(pred_true,_H,T,Set2,Res,WF) :- compute_diff(T,Set2,Res,WF).
3745 ?compute_diff2(pred_false,H,T,Set2,Res,WF) :- equal_object_wf([H|R2],Res,compute_diff2,WF),
3746 ? compute_diff(T,Set2,R2,WF).
3747
3748 % propagate all elements from one set into another one; do not use for computation; may skip elements ...
3749 /* this version not used at the moment:
3750 :- block propagate_into(-,?,?).
3751 propagate_into(_,Set2,_WF) :- nonvar(Set2),
3752 is_custom_explicit_set(Set2,propagate_into),!. % second set already fully known
3753 propagate_into([],_,_WF) :- !.
3754 propagate_into([H|T],Set,WF) :- !,check_element_of_wf(H,Set,WF), propagate_into(T,Set,WF).
3755 propagate_into(Set1,Set2,WF) :- is_custom_explicit_set(Set1,propagate_into),!,
3756 (is_infinite_explicit_set(Set1) -> true ;
3757 expand_custom_set_to_list(Set1,ESet1), propagate_into(ESet1,Set2,WF)). */
3758
3759 :- block propagate_into2(-,?,?,?).
3760 propagate_into2(_,Set2,_NegSet,_WF) :- nonvar(Set2),
3761 is_custom_explicit_set(Set2,propagate_into),!. % second set already fully known
3762 propagate_into2([],_,_,_WF) :- !.
3763 propagate_into2([H|T],PosSet,NegSet,WF) :- !,
3764 ? check_element_of_wf(H,PosSet,WF),
3765 ? not_element_of_wf(H,NegSet,WF),propagate_into2(T,PosSet,NegSet,WF).
3766 propagate_into2(Set1,PosSet,NegSet,WF) :- is_custom_explicit_set(Set1,propagate_into),!,
3767 (is_infinite_explicit_set(Set1) -> true ;
3768 ? expand_custom_set_to_list_wf(Set1,ESet1,_,propagate_into2,WF), propagate_into2(ESet1,PosSet,NegSet,WF)).
3769
3770 :- assert_must_succeed(exhaustive_kernel_check_wf(in_difference_set_wf(int(33),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3771 :- block in_difference_set_wf(-,-,-,?).
3772 in_difference_set_wf(A,X,Y,WF) :-
3773 (treat_arg_symbolically(X) ; treat_arg_symbolically(Y) ; preference(convert_comprehension_sets_into_closures,true)),
3774 % symbolic treatment would also make sense when A is nonvar and X var to force A to be in X ?!
3775 !,
3776 ? check_element_of_wf(A,X,WF), not_element_of_wf(A,Y,WF).
3777 in_difference_set_wf(A,X,Y,WF) :-
3778 difference_set_wf(X,Y,Diff,WF),
3779 ? check_element_of_wf(A,Diff,WF).
3780
3781 treat_arg_symbolically(X) :- var(X),!.
3782 treat_arg_symbolically(global_set(_)).
3783 treat_arg_symbolically(freetype(_)).
3784 treat_arg_symbolically(closure(P,T,B)) :- \+ small_interval(P,T,B).
3785
3786 small_interval(P,T,B) :- is_interval_closure(P,T,B,Low,Up),
3787 integer(Low), integer(Up),
3788 Up-Low < 500. % Magic Constant; TO DO: determine good value
3789
3790
3791 :- assert_must_succeed(exhaustive_kernel_check_wf(not_in_difference_set_wf(int(2),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3792 :- assert_must_succeed(exhaustive_kernel_check_wf(not_in_difference_set_wf(int(111),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3793 :- assert_must_succeed(exhaustive_kernel_check_wf(not_in_difference_set_wf(int(1),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3794
3795 :- block not_in_difference_set_wf(-,-,-,?).
3796 not_in_difference_set_wf(A,X,Y,WF) :-
3797 (treat_arg_symbolically(X) ; treat_arg_symbolically(Y) ; preference(convert_comprehension_sets_into_closures,true)),
3798 !,
3799 % A : (X-Y) <=> A:X & not(A:Y)
3800 % A /: (X-Y) <=> A/: X or A:Y
3801 membership_test_wf(X,A,AX_Res,WF),
3802 (AX_Res==pred_false -> true
3803 ; bool_pred:negate(AX_Res,NotAX_Res),
3804 b_interpreter_check:disjoin(NotAX_Res,AY_Res,pred_true,priority(16384),priority(16384),WF), % better: uese a version that does not do a case split ?! or use last wait flag ?
3805 membership_test_wf(Y,A,AY_Res,WF)
3806 ).
3807 not_in_difference_set_wf(A,X,Y,WF) :-
3808 difference_set_wf(X,Y,Diff,WF),
3809 not_element_of_wf(A,Diff,WF).
3810
3811
3812 :- assert_must_succeed(exhaustive_kernel_check_wf(in_intersection_set_wf(int(2),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3813
3814 :- block in_intersection_set_wf(-,-,-,?).
3815 in_intersection_set_wf(A,X,Y,WF) :-
3816 (treat_arg_symbolically(X) ; treat_arg_symbolically(Y)
3817 ; preference(convert_comprehension_sets_into_closures,true)),
3818 (preference(data_validation_mode,true) -> nonvar(X) ; true),
3819 % otherwise we may change enumeration order and enumerate with Y first;
3820 % see private_examples/ClearSy/2019_May/perf_3264/rule_186.mch (but also test 1976);
3821 % we could check if A is ground
3822 !,
3823 Y \== [], % avoid setting up check_element_of for X then
3824 ? check_element_of_wf(A,X,WF), check_element_of_wf(A,Y,WF).
3825 in_intersection_set_wf(A,X,Y,WF) :-
3826 intersection(X,Y,Inter,WF),
3827 check_element_of_wf(A,Inter,WF).
3828
3829 :- assert_must_succeed(exhaustive_kernel_check_wf(not_in_intersection_set_wf(int(3),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3830 :- block not_in_intersection_set_wf(-,-,-,?).
3831 not_in_intersection_set_wf(_A,_X,Y,_WF) :- Y == [], !. % intersection will be empty; avoid analysing X
3832 not_in_intersection_set_wf(A,X,Y,WF) :-
3833 (treat_arg_symbolically(X) ; treat_arg_symbolically(Y) ; preference(convert_comprehension_sets_into_closures,true)),
3834 !,
3835 % A : (X /\ Y) <=> A:X & A:Y
3836 % A /: (X /\ Y) <=> A/:X or A/:Y
3837 membership_test_wf(X,A,AX_Res,WF),
3838 (AX_Res==pred_false -> true
3839 ; bool_pred:negate(AX_Res,NotAX_Res), bool_pred:negate(AY_Res,NotAY_Res),
3840 b_interpreter_check:disjoin(NotAX_Res,NotAY_Res,pred_true,priority(16384),priority(16384),WF), % better: uese a version that does not do a case split ?! or use last wait flag ?
3841 membership_test_wf(Y,A,AY_Res,WF)
3842 ).
3843 not_in_intersection_set_wf(A,X,Y,WF) :-
3844 intersection(X,Y,Inter,WF),
3845 not_element_of_wf(A,Inter,WF).
3846
3847 :- assert_must_succeed(exhaustive_kernel_check_wf(in_union_set_wf(int(2),[int(33),int(2)],[int(2),int(1),int(3)],WF),WF)).
3848 :- assert_must_succeed(exhaustive_kernel_check_wf(in_union_set_wf(int(33),[int(32),int(2)],[int(2),int(1),int(33)],WF),WF)).
3849
3850 :- block in_union_set_wf(-,-,-,?).
3851 in_union_set_wf(A,X,Y,WF) :-
3852 (treat_arg_symbolically(X) ; treat_arg_symbolically(Y) ; preference(convert_comprehension_sets_into_closures,true)),
3853 % symbolic treatment would also make sense when A is nonvar and X var to force A to be in X ?!
3854 !,
3855 membership_test_wf(X,A,AX_Res,WF),
3856 (AX_Res==pred_true -> true
3857 ; b_interpreter_check:disjoin(AX_Res,AY_Res,pred_true,priority(16384),priority(16384),WF), % better: use a version that does not do a case split ?! or use last wait flag ?
3858 membership_test_wf(Y,A,AY_Res,WF)
3859 ).
3860 in_union_set_wf(A,X,Y,WF) :-
3861 union_wf(X,Y,Union,WF),
3862 check_element_of_wf(A,Union,WF).
3863
3864 :- assert_must_succeed(exhaustive_kernel_check_wf(not_in_union_set_wf(int(3),[int(32),int(2)],[int(2),int(1),int(33)],WF),WF)).
3865
3866 :- block not_in_union_set_wf(-,-,-,?).
3867 not_in_union_set_wf(A,X,Y,WF) :-
3868 not_element_of_wf(A,X,WF),
3869 not_element_of_wf(A,Y,WF).
3870
3871 % ---------------------
3872
3873
3874 strict_subset_of(X,Y) :-
3875 init_wait_flags(WF,[strict_subset_of]),
3876 strict_subset_of_wf(X,Y,WF),
3877 ground_wait_flags(WF).
3878
3879 :- assert_must_succeed(exhaustive_kernel_check(strict_subset_of_wf([int(3),int(2)],[int(2),int(1),int(3)],_))).
3880 :- assert_must_succeed(exhaustive_kernel_check(strict_subset_of_wf([],[int(2),int(1),int(3)],_))).
3881 :- assert_must_succeed(exhaustive_kernel_check(strict_subset_of_wf([],[ [] ],_))).
3882 :- assert_must_succeed(exhaustive_kernel_fail_check(strict_subset_of_wf([int(3),int(2),int(1)],[int(2),int(1),int(3)],_))).
3883 :- assert_must_succeed(exhaustive_kernel_fail_check(strict_subset_of_wf([int(1),int(4)],[int(2),int(1),int(3)],_))).
3884 :- assert_must_succeed(exhaustive_kernel_fail_check(strict_subset_of_wf([[]],[],_))).
3885 :- assert_must_succeed(exhaustive_kernel_fail_check(strict_subset_of_wf([],[],_))).
3886 :- assert_must_succeed((kernel_objects:strict_subset_of_wf(Y,X,_WF), Y = [int(1)], X=[int(2),int(1)])).
3887 :- assert_must_succeed((kernel_objects:strict_subset_of(Y,X), Y = [int(1)], X=[int(2),int(1)])).
3888 :- assert_must_succeed((kernel_objects:strict_subset_of_wf(Y,X,_WF), Y = [], X=[int(2),int(1)])).
3889 :- assert_must_succeed((kernel_objects:strict_subset_of_wf(Y,X,_WF), Y = [[int(1),int(2)]], X=[[int(2)],[int(2),int(1)]])).
3890 :- assert_must_succeed((kernel_objects:strict_subset_of_wf(Y,X,_WF), Y = [fd(1,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
3891 :- assert_must_succeed((kernel_objects:strict_subset_of_wf(Y,X,_WF), Y = [fd(3,'Name'),fd(2,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
3892 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [fd(1,'Name'),fd(3,'Name'),fd(2,'Name')], X=global_set('Name'))).
3893 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [fd(1,'Name'),fd(3,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
3894 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [int(1)], X=[int(2),int(1)])).
3895 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [int(1),int(2)], X=[int(2),int(1)])).
3896 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [int(2)], X=[int(2)])).
3897 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [int(2)], X=[int(1)])).
3898 :- assert_must_fail((kernel_objects:strict_subset_of_wf(X,Y,_WF), Y = [], X=[int(1)])).
3899
3900
3901 :- use_module(chrsrc(chr_set_membership),[chr_subset_strict/2, chr_not_subset_strict/2]).
3902 :- use_module(chrsrc(chr_integer_inequality),[chr_in_interval/4]).
3903
3904 strict_subset_of_wf(Set1,Set2,WF) :-
3905 (preference(use_chr_solver,true) -> chr_subset_strict(Set1,Set2)
3906 ; Set1 \== Set2), % relevant for test 1326
3907 ? strict_subset_of_wf_aux(Set1,Set2,WF).
3908
3909 %:- block strict_subset_of_wf(-,-,?).
3910 strict_subset_of_wf_aux(Set1,Set2,WF) :- Set1==[],!,not_empty_set_wf(Set2,WF).
3911 %strict_subset_of_wf_aux(Set1,Set2,WF) :- var(Set2),nonvar(Set1), print(subs(Set1,Set2)),nl,fail.
3912 strict_subset_of_wf_aux(Set1,Set2,WF) :- nonvar(Set2), singleton_set(Set2,_),!, empty_set_wf(Set1,WF).
3913 strict_subset_of_wf_aux(Set1,Set2,WF) :-
3914 ? not_empty_set_wf(Set2,WF),
3915 get_cardinality_powset_wait_flag(Set2,strict_subset_of_wf,WF,_,LWF),
3916 % we could subtract 1 from priority !? (get_cardinality_pow1set_wait_flag)
3917 ? when(((nonvar(LWF),(nonvar(Set1);ground(Set2))) ; (nonvar(Set1),nonvar(Set2)) ),
3918 strict_subset_of_aux_block(Set1,Set2,WF,LWF)).
3919
3920 strict_subset_of_aux_block(Set1,_Set2,_WF,_LWF) :-
3921 Set1==[],
3922 !. % we have already checked that Set2 is not empty
3923 strict_subset_of_aux_block(Set1,Set2,WF,_LWF) :-
3924 nonvar(Set2), is_definitely_maximal_set(Set2),
3925 !,
3926 ? not_equal_object_wf(Set1,Set2,WF).
3927 strict_subset_of_aux_block(Set1,Set2,WF,_LWF) :- nonvar(Set2), singleton_set(Set2,_),!,
3928 empty_set_wf(Set1,WF).
3929 strict_subset_of_aux_block(Set1,Set2,_WF,_LWF) :-
3930 both_global_sets(Set1,Set2,G1,G2),
3931 !, %(print(check_strict_subset_of_global_sets(G1,G2)),nl,
3932 ? check_strict_subset_of_global_sets(G1,G2).
3933 strict_subset_of_aux_block(Set1,Set2,WF,LWF) :-
3934 var(Set1), nonvar(Set2), Set2=avl_set(_),
3935 check_card_waitflag_less(LWF,4097), % if the number is too big strict_subset_of0 has better chance of working ?!
3936 % without avl_set check test 1003 leads to time out for plavis-TransData_SP_13.prob, with
3937 % memp : seq(STRING) & dom(memp) <<: ( mdp + 1 .. ( mdp + 43 ) )
3938 !,
3939 %non_free(Set1), % as we used to force order, now we use equal_object_wf in gen_strict_subsets and no longer need non_free checking
3940 expand_custom_set_to_list_wf(Set2,ESet2,_,strict_subset_of_wf,WF),
3941 gen_strict_subsets(Set1,ESet2,WF).
3942 strict_subset_of_aux_block(Set1,Set2,WF,LWF) :-
3943 ? strict_subset_of0(Set1,Set2,WF,LWF).
3944 % TO DO (26.10.2014): test 1270 now passes thanks to maximal set check above
3945 % but we should need a better way of ensuring that something like {ssu|ssu<<:POW(elements)} is efficiently computed
3946 % (which it no longer is once the unbound_variable check had been fixed)
3947 % we could also just generally use Set1 <: Set2 & Set1 /= Set2
3948
3949 check_card_waitflag_less(float(Nr),Limit) :- number(Nr), Nr<Limit.
3950
3951 % avoid generating different ordering of the same subset ([1,2] and [2,1] for example), useful for test 642
3952 % Note: remove_element_wf in strict_subset_of2 will create different orders
3953 % for sequence domains gen_strict_subsets uses just the wrong order (deciding to remove 1 first);
3954 % cf test 1003 where not including 1 in domain is bad: memp : seq(STRING) & dom(memp) <<: ( mdp + 1 .. ( mdp + 43 ) )
3955 gen_strict_subsets(T,[H2|T2],WF) :-
3956 not_element_of_wf(H2,T,WF),
3957 gen_subsets(T,T2,WF).
3958 gen_strict_subsets(SubSet,[H2|T2],WF) :-
3959 equal_object_wf([H2|T],SubSet,gen_strict_subsets,WF),
3960 gen_strict_subsets(T,T2,WF).
3961
3962
3963 %:- block strict_subset_of0(-,?,?,?). % required to wait: we know Set2 must be non-empty, but Set1 could be an avl-tree or closure
3964 strict_subset_of0(Set1,Set2,WF,_) :-
3965 subset_of_explicit_set(Set1,Set2,Code,WF),!,
3966 ? call(Code),
3967 ? not_equal_object_wf(Set1,Set2,WF).
3968 strict_subset_of0(Set1,Set2,WF,LWF) :-
3969 expand_custom_set_to_list_wf(Set1,ESet1,_,strict_subset_of0,WF),
3970 (ESet1==[] -> true %not_empty_set(Set2) already checked above
3971 ? ; is_infinite_explicit_set(Set2) ->
3972 % Set1 is expanded to a list ESet1 and thus finite: it is sufficient to check subset relation
3973 check_subset_of_wf(ESet1,Set2,WF)
3974 ; try_expand_custom_set_wf(Set2,ESet2,strict_subset_of0,WF),
3975 %%try_prop_card_lt(ESet1,ESet2), try_prop_card_gt(ESet2,ESet1),
3976 ? strict_subset_of2(ESet1,[],ESet2,WF,LWF)
3977 ).
3978
3979 :- block strict_subset_of2(-,?,?,?,-).
3980 %strict_subset_of2(S,SoFar,Set2,WF,LWF) :- nl,print(strict_subset_of2(S,SoFar,Set2,WF,LWF)),nl,fail.
3981 strict_subset_of2([],SoFar,RemS,WF,_LWF) :-
3982 ? not_empty_set_wf(RemS,WF), % check remaining set (elements in Set2 not in Set1) is not empty
3983 disjoint_sets(RemS,SoFar). % ensure we have not accidentally created Set2 with duplicates
3984 % if a duplicate is in RemS, we may not have a strict_subset (test 2480) !
3985 strict_subset_of2([H|T],SoFar,Set2,WF,LWF) :- var(Set2),!,
3986 equal_cons_wf(Set2,H,Set2R,WF), %was Set2 = [H|Set2R],
3987 not_element_of_wf(H,SoFar,WF),
3988 add_new_element_wf(H,SoFar,SoFar2,WF), %was SoFar2 = [H|SoFar],
3989 ? strict_subset_of2(T,SoFar2,Set2R,WF,LWF).
3990 strict_subset_of2([H|T],SoFar,Set2,WF,LWF) :-
3991 % when_sufficiently_for_member(H,Set2,WF,
3992 ? remove_element_wf(H,Set2,RS2,WF),
3993 ? not_empty_set_wf(RS2,WF),
3994 not_element_of_wf(H,SoFar,WF), /* consistent((H,SoFar)), necessary? */
3995 ? when((nonvar(T) ; (ground(LWF),ground(RS2))),
3996 (add_new_element_wf(H,SoFar,SoFar2,WF), %SoFar2 = [H|SoFar],
3997 strict_subset_of2(T,SoFar2,RS2,WF,LWF) )).
3998
3999
4000
4001
4002 :- assert_must_succeed(exhaustive_kernel_check(partition_wf([int(1),int(2)],[ [int(2)], [int(1)] ],_))).
4003 :- assert_must_succeed(exhaustive_kernel_check(partition_wf([int(1),int(2),int(5)],[ [int(2)], [int(5),int(1)] ],_))).
4004 :- assert_must_succeed(exhaustive_kernel_check(partition_wf([int(1),int(2),int(5)],[ [int(2)], [int(5)],[int(1)] ],_))).
4005 :- assert_must_succeed(exhaustive_kernel_fail_check(partition_wf([int(1),int(2),int(5)],[ [int(2)], [int(5),int(1)], [int(3)] ],_))).
4006 :- assert_must_succeed((kernel_objects:partition_wf([int(1),int(2)],[ [int(2)], [int(1)] ], _))).
4007 :- assert_must_succeed((kernel_objects:partition_wf([int(1),int(2)],[ [int(2)], [int(1)], [] ], _))).
4008 :- assert_must_fail((kernel_objects:partition_wf([int(1),int(2)],[ [int(2)], [int(1),int(2)] ], _))).
4009 :- assert_must_fail((kernel_objects:partition_wf([int(1),int(3)],[ [int(1)], [int(2)] ], _))).
4010 :- assert_must_fail((kernel_objects:partition_wf([int(1),int(2),int(3)],[ [int(1)], [int(2)] ], _))).
4011 :- assert_must_succeed((kernel_objects:partition_wf([int(1)],[S1,S2],_WF), S1=[H|T], S2==[],T==[],H==int(1))).
4012 :- assert_must_succeed((kernel_objects:partition_wf([int(1),int(2)],[S1,S2],_WF), S1=[H|T], S2=[int(1)],(preferences:preference(use_clpfd_solver,true) -> T==[],H==int(2) ; T=[],H=int(2)))).
4013 :- assert_must_succeed((kernel_objects:partition_wf([int(1),int(2),int(3)],[S1,S2,S3],_WF), S1=[H2|T], S3=[int(3)],T=[H1|TT],H2=int(2),TT==[],S2==[],H1==int(1))).
4014 :- assert_must_succeed((kernel_objects:partition_wf([int(1),int(2),int(3)],[[int(1)],X,[int(2)]],_WF),
4015 X==[int(3)])).
4016
4017 :- use_module(bsets_clp,[disjoint_union_generalized_wf/3]).
4018 :- use_module(kernel_tools,[ground_value/1]).
4019 :- block partition_wf(?,-,?).
4020 partition_wf(Set,ListOfSets,WF) :-
4021 ? partition_disj_union_wf(Set,ListOfSets,WF),
4022 all_disjoint(ListOfSets,WF).
4023
4024 % just check that the disjoint union of all sets is equal to Set
4025 partition_disj_union_wf(Set,ListOfSets,WF) :-
4026 ground_value(Set),find_non_ground_set(ListOfSets,NGS,Rest),!,
4027 disjoint_union_generalized_wf(Rest,RestSet,WF),
4028 ? check_subset_of_wf(RestSet,Set,WF), % otherwise this is not a partition of Set
4029 difference_set(Set,RestSet,NGS).
4030 partition_disj_union_wf(Set,ListOfSets,WF) :-
4031 ? disjoint_union_generalized_wf(ListOfSets,Set,WF).
4032
4033 :- assert_must_succeed((kernel_objects:find_non_ground_set([int(1),int(2),A,int(5)],B,C), B==A,C==[int(1),int(2),int(5)])).
4034 find_non_ground_set([H|T],NG,Rest) :-
4035 (ground_value(H) -> Rest=[H|TR], find_non_ground_set(T,NG,TR)
4036 ; ground_value(T),NG=H, Rest=T).
4037
4038 :- block all_disjoint(-,?).
4039 % check if a list of sets is all disjoint (Note: this is not a set of sets)
4040 all_disjoint([],_WF) :- !.
4041 all_disjoint([H|T],WF) :- !,
4042 all_disjoint_with(T,H,WF),
4043 all_disjoint(T,WF).
4044 all_disjoint(S,WF) :- add_internal_error('Not a list for partition:',all_disjoint(S,WF)),fail.
4045
4046 :- block all_disjoint_with(-,?,?).
4047 all_disjoint_with([],_,_WF).
4048 all_disjoint_with([H|T],Set1,WF) :- disjoint_sets(Set1,H,WF), all_disjoint_with(T,Set1,WF).
4049
4050
4051 % a utility to check for duplicates in set lists and enter debugger
4052 %:- block check_set_for_repetitions(-,?).
4053 %check_set_for_repetitions([],_) :- !.
4054 %check_set_for_repetitions([H|T],Acc) :- !,
4055 % when(ground(H),(member(H,Acc) -> tools:print_bt_message(duplicate(H,Acc)),trace
4056 % ; check_set_for_repetitions(T,[H|Acc]))).
4057 %check_set_for_repetitions(_,_).
4058
4059 :- assert_must_succeed(exhaustive_kernel_fail_check(not_partition_wf([int(1),int(2)],[ [int(2)], [int(1)] ],_))).
4060 :- assert_must_succeed(exhaustive_kernel_fail_check(not_partition_wf([int(1),int(2),int(5)],[ [int(2)], [int(5),int(1)] ],_))).
4061 :- assert_must_succeed(exhaustive_kernel_fail_check(not_partition_wf([int(1),int(2),int(5)],[ [int(2)], [int(5)],[int(1)] ],_))).
4062 :- assert_must_succeed(exhaustive_kernel_check(not_partition_wf([int(1),int(2),int(5)],[ [int(2)], [int(5),int(1)], [int(3)] ],_))).
4063 :- assert_must_fail((kernel_objects:not_partition_wf([int(1),int(2)],[ [int(2)], [int(1)] ], _))).
4064 :- assert_must_fail((kernel_objects:not_partition_wf([int(1),int(2)],[ [int(2)], [int(1)], [] ], _))).
4065 :- assert_must_succeed((kernel_objects:not_partition_wf([int(1),int(2)],[ [int(2)], [int(1),int(2)] ], _))).
4066 :- assert_must_succeed((kernel_objects:not_partition_wf([int(1),int(3)],[ [int(1)], [int(2)] ], _))).
4067 :- assert_must_succeed((kernel_objects:not_partition_wf([int(1),int(2),int(3)],[ [int(1)], [int(2)] ], _))).
4068 :- assert_must_succeed((kernel_objects:not_partition_wf([int(1),int(2)],[ [int(1),int(2)], [int(1),int(2)] ], _))).
4069
4070 not_partition_wf(FullSet,ListOfSets,WF) :-
4071 test_partition_wf(FullSet,ListOfSets,pred_false,WF).
4072
4073
4074 :- use_module(b_interpreter_check,[imply_true/2]). % TODO: move to another module
4075 :- block test_partition_wf(?,-,?,?).
4076 test_partition_wf(FullSet,ListOfSets,PredRes,WF) :-
4077 bool_pred:negate(PredRes,NotPredRes),
4078 propagate_partition_true(FullSet,ListOfSets,PredRes,WF),
4079 ? test_partition_wf2(ListOfSets,[],FullSet,PredRes,NotPredRes,WF).
4080
4081 :- block propagate_partition_true(?,?,-,?).
4082 propagate_partition_true(FullSet,ListOfSets,pred_true,WF) :-
4083 % ensure we propagate more info; required for tests 1059, 1060
4084 partition_disj_union_wf(FullSet,ListOfSets,WF).
4085 propagate_partition_true(_,_,pred_false,_).
4086
4087 :- block test_partition_wf2(-,?,?, ?,?,?).
4088 %test_partition_wf2(Sets,SoFar,_,Pred,_,_) :- print_term_summary(test_partition_wf2(Sets,SoFar,Pred)),nl,fail.
4089 ?test_partition_wf2([],ElementsSoFar,FullSet,PredRes,_,WF) :- !, equality_objects_wf(ElementsSoFar,FullSet,PredRes,WF).
4090 test_partition_wf2([Set1|Rest],ElementsSoFar,FullSet,PredRes,NotPredRes,WF) :- !,
4091 expand_custom_set_to_list_wf(Set1,ESet1,_,test_partition_wf2,WF), % TODO: requires finite set; choose instantiated sets first
4092 ? test_partition_wf3(ESet1,ElementsSoFar,ElementsSoFar,Rest,FullSet,PredRes,NotPredRes,WF).
4093 test_partition_wf2(A,E,FS,PR,NPR,WF) :-
4094 add_internal_error('Not a list for partition:',test_partition_wf2(A,E,FS,PR,NPR,WF)),fail.
4095
4096 :- block test_partition_wf3(-,?,?,?, ?,?,?,?).
4097 test_partition_wf3([],_,NewElementsSoFar,OtherSets,FullSet,PredRes,NPR,WF) :-
4098 ? test_partition_wf2(OtherSets,NewElementsSoFar,FullSet,PredRes,NPR,WF). % finished treating this set
4099 test_partition_wf3([H|T],ElementsSoFar,NewElementsSoFar,OtherSets,FullSet,PredRes,NotPredRes,WF) :-
4100 imply_true(MemRes,NotPredRes), % if not disjoint (MemRes=pred_true) then we do not have a partition
4101 membership_test_wf(ElementsSoFar,H,MemRes,WF),
4102 ? test_partition_wf4(MemRes,H,T,ElementsSoFar,NewElementsSoFar,OtherSets,FullSet,PredRes,NotPredRes,WF).
4103
4104 :- block test_partition_wf4(-,?,?,?,?, ?,?,?,?,?).
4105 test_partition_wf4(pred_true,_,_,_,_,_,_,pred_false,_,_). % Not disjoint
4106 test_partition_wf4(pred_false,H,T,ElementsSoFar,NewElementsSoFar,OtherSets,FullSet,PredRes,NotPredRes,WF) :-
4107 add_element_wf(H,NewElementsSoFar,NewElementsSoFar2,WF), % we could also already check whether H in FullSet or not
4108 %(PredRes==pred_true -> check_element_of_wf(H,FullSet,WF) ; true),
4109 ? test_partition_wf3(T,ElementsSoFar,NewElementsSoFar2,OtherSets,FullSet,PredRes,NotPredRes,WF).
4110
4111
4112
4113 :- assert_must_succeed(exhaustive_kernel_succeed_check(check_subset_of([int(1),int(2),int(5)], [int(2),int(5),int(1),int(3)]))).
4114 :- assert_must_succeed(exhaustive_kernel_succeed_check(check_subset_of([int(1),int(2),int(5)],[int(2),int(5),int(1)]))).
4115 :- assert_must_succeed(exhaustive_kernel_fail_check(check_subset_of([int(1),int(3),int(5)],[int(2),int(5),int(1)]))).
4116 :- assert_must_succeed((kernel_objects:power_set(global_set('Name'),PS),kernel_objects:check_subset_of(X,PS),
4117 kernel_objects:equal_object(X,[[fd(2,'Name'),fd(1,'Name')]]))).
4118 :- assert_must_succeed(findall(X,kernel_objects:check_subset_of(X,[[int(1),int(2)],[]]),[_1,_2,_3,_4])).
4119 :- assert_must_succeed((kernel_objects:check_subset_of(X,[[int(1),int(2)],[]]),
4120 nonvar(X),
4121 kernel_objects:equal_object(X,[[int(2),int(1)]]))).
4122 :- assert_must_succeed((kernel_objects:check_subset_of_wf(Y,X,_WF), Y = [fd(1,'Name')],
4123 nonvar(X),X=[H|T], var(T), H==fd(1,'Name'), X=Y)).
4124 :- assert_must_succeed((kernel_objects:check_subset_of(Y,X), Y = [fd(1,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
4125 :- assert_must_succeed((kernel_objects:check_subset_of(Y,X), Y = [fd(1,'Name'),fd(3,'Name'),fd(2,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
4126 :- assert_must_succeed((kernel_objects:check_subset_of(X,Y), Y = [fd(1,'Name'),fd(3,'Name'),fd(2,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
4127 :- assert_must_succeed((kernel_objects:sample_closure(C),kernel_objects:check_subset_of(C,global_set('NAT')))).
4128 :- assert_must_succeed((kernel_objects:check_subset_of(global_set('NAT'),global_set('NAT')))).
4129 :- assert_must_succeed((kernel_objects:check_subset_of(global_set('NAT'),global_set('NATURAL')))).
4130 :- assert_must_fail((kernel_objects:check_subset_of(global_set('NAT'),global_set('NATURAL1')))).
4131 :- assert_must_fail((kernel_objects:check_subset_of(global_set('NAT'),global_set('NAT1')))).
4132 :- assert_must_fail((kernel_objects:check_subset_of(X,Y), Y = [fd(1,'Name')], kernel_objects:equal_object(X,global_set('Name')))).
4133 /* TO DO: add special treatment for closures and type checks !! */
4134
4135 check_subset_of(Set1,Set2) :- init_wait_flags(WF),
4136 check_subset_of_wf(Set1,Set2,WF),
4137 ground_wait_flags(WF).
4138
4139 check_finite_subset_of_wf(Set1,Set2,WF) :-
4140 ? check_subset_of_wf(Set1,Set2,WF),
4141 is_finite_set_wf(Set1,WF).
4142
4143 :- block check_subset_of_wf(-,-,?).
4144 check_subset_of_wf(Set1,Set2,WF) :-
4145 (both_global_sets(Set1,Set2,G1,G2)
4146 -> check_subset_of_global_sets(G1,G2)
4147 ? ; check_subset_of0(Set1,Set2,WF)
4148 ).
4149
4150 both_global_sets(S1,S2,G1,G2) :- nonvar(S1),nonvar(S2),
4151 is_global_set(S1,G1), is_global_set(S2,G2).
4152
4153 % check if we have a global set or interval
4154 % is_global_set([],R) :- !, R=interval(0,-1). % useful ???
4155 is_global_set(global_set(G1),R) :- !,
4156 (custom_explicit_sets:get_integer_set_interval(G1,Low,Up) -> R=interval(Low,Up) ; R=G1).
4157 is_global_set(Closure,R) :-
4158 custom_explicit_sets:is_interval_closure_or_integerset(Closure,Low,Up),!,
4159 R=interval(Low,Up).
4160
4161
4162 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(0,0),interval(minus_inf,inf))).
4163 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(-200,1000),interval(minus_inf,inf))).
4164 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(10,1000),interval(0,inf))).
4165 :- assert_must_fail(kernel_objects:check_subset_of_global_sets(interval(-10,1000),interval(0,inf))).
4166 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(0,inf),interval(0,inf))).
4167 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(0,inf),interval(minus_inf,inf))).
4168 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(1,inf),interval(0,inf))).
4169 :- assert_must_succeed(kernel_objects:check_subset_of_global_sets(interval(1,inf),interval(minus_inf,inf))).
4170
4171 % to do: also extend to allow intervals with inf/minus_inf
4172 check_subset_of_global_sets(X,Y) :- (var(X) ; var(Y)),
4173 add_internal_error('Illegal call: ',check_subset_of_global_sets(X,Y)),fail.
4174 check_subset_of_global_sets(interval(Low1,Up1),interval(Low2,Up2)) :- !,
4175 interval_subset(Low1,Up1,Low2,Up2).
4176 check_subset_of_global_sets(X,X) :- !. % both args must be atomic and ground (global set names)
4177 % BUT WE COULD HAVE {x|x>0} <: NATURAL1 ? interval(0,inf) <: NATURAL1
4178 check_subset_of_global_sets(X,Y) :- check_strict_subset_of_global_sets(X,Y).
4179
4180 % To do: perform some treatment of inf, minus_inf values here <----
4181 interval_subset(Low1,Up1,Low2,Up2) :-
4182 (var(Low1) ; var(Up1)), % otherwise we can use code below
4183 finite_interval(Low1,Up1), finite_interval(Low2,Up2), % inf can appear as term; but only directly not later
4184 !,
4185 % Maybe to do: try to avoid CLPFD overflows if possible; pass WF to force case distinction between empty/non-empty intervals
4186 clpfd_in_interval(Low1,Up1,Low2,Up2).
4187 interval_subset(Low1,Up1,Low2,Up2) :-
4188 interval_subset_aux(Low1,Up1,Low2,Up2).
4189
4190 % check if we have a finite interval (fails for inf/minus_inf terms)
4191 finite_interval(Low1,Up1) :- (var(Low1) -> true ; integer(Low1)), (var(Up1) -> true ; integer(Up1)).
4192 finite_val(LowUp) :- (var(LowUp) -> true ; integer(LowUp)).
4193
4194
4195
4196 % assert Low1..Up1 <: Low2..Up2
4197 clpfd_in_interval(Low1,Up1,Low2,Up2) :-
4198 (preferences:preference(use_chr_solver,true)
4199 -> chr_in_interval(Low1,Up1,Low2,Up2) ; true),
4200 % TO DO: improve detection of Low1 #=< Up1; maybe outside of CHR ?; we could also add a choice point here
4201 % example: p..q <: 0..25 & p<q -> should constrain p,q to p:0..24 & q:1..25
4202 clpfd_interface:post_constraint2((Low1 #=< Up1) #=> ((Low2 #=< Low1) #/\ (Up1 #=< Up2)),Posted),
4203 (Posted==true -> true ; interval_subset_aux(Low1,Up1,Low2,Up2)).
4204
4205 :- block interval_subset_aux(-,?,?,?), interval_subset_aux(?,-,?,?).
4206 interval_subset_aux(Low1,Up1,_,_) :- safe_less_than_with_inf(Up1,Low1). %Set 1 is empty.
4207 interval_subset_aux(Low1,Up1,Low2,Up2) :-
4208 safe_less_than_equal_with_inf(Low1,Up1), % Set 1 is not empty
4209 safe_less_than_equal_with_inf_clpfd(Low2,Low1), safe_less_than_equal_with_inf_clpfd(Up1,Up2). % may call CLPFD
4210
4211 % a version of safe_less_than which allows minus_inf and inf, but only if those terms appear straightaway at the first call
4212 % assumes any variable will only be bound to a number
4213 safe_less_than_with_inf(X,Y) :- (X==Y ; X==inf ; Y==minus_inf), !,fail.
4214 safe_less_than_with_inf(X,Y) :- (X==minus_inf ; Y==inf), !.
4215 safe_less_than_with_inf(X,Y) :- safe_less_than(X,Y).
4216
4217 safe_less_than_with_inf_clpfd(X,Y) :- (X==Y ; X==inf ; Y==minus_inf), !,fail.
4218 safe_less_than_with_inf_clpfd(X,Y) :- (X==minus_inf ; Y==inf), !.
4219 safe_less_than_with_inf_clpfd(X,Y) :- less_than_direct(X,Y). % this can also call CLPFD
4220
4221 % a version of safe_less_than_equal which allows minus_inf and inf, but only if those terms appear straightaway at the first call
4222 safe_less_than_equal_with_inf(X,Y) :- X==Y,!.
4223 safe_less_than_equal_with_inf(X,Y) :- (X==inf ; Y==minus_inf), !,fail.
4224 safe_less_than_equal_with_inf(X,Y) :- (X==minus_inf ; Y==inf), !.
4225 safe_less_than_equal_with_inf(X,Y) :- safe_less_than_equal(X,Y).
4226
4227 safe_less_than_equal_with_inf_clpfd(X,Y) :- X==Y,!.
4228 safe_less_than_equal_with_inf_clpfd(X,Y) :- (X==inf ; Y==minus_inf), !,fail.
4229 safe_less_than_equal_with_inf_clpfd(X,Y) :- (X==minus_inf ; Y==inf), !.
4230 safe_less_than_equal_with_inf_clpfd(X,Y) :- less_than_equal_direct(X,Y). % this can also call CLPFD
4231
4232 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(1,2),interval(1,3))).
4233 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(1,1),interval(1,2))).
4234 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(1,1),interval(0,1))).
4235 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(2,1),interval(33,34))).
4236 :- assert_must_fail(kernel_objects:check_strict_subset_of_global_sets(interval(3,1),interval(4,2))).
4237 :- assert_must_fail(kernel_objects:check_strict_subset_of_global_sets(interval(3,1),interval(2,1))).
4238 :- assert_must_fail(kernel_objects:check_strict_subset_of_global_sets(interval(1,2),interval(1,2))).
4239 :- assert_must_fail(kernel_objects:check_strict_subset_of_global_sets(interval(1,2),interval(2,3))).
4240 :- assert_must_fail(kernel_objects:check_strict_subset_of_global_sets(interval(2,3),interval(1,2))).
4241 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(0,1000),interval(0,inf))).
4242 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(1,1000),interval(1,inf))).
4243 :- assert_must_succeed(kernel_objects:check_strict_subset_of_global_sets(interval(-200,1000),interval(minus_inf,inf))).
4244 % for any other term we have global enumerated or deferred sets: they cannot be a strict subset of each other
4245 check_strict_subset_of_global_sets('FLOAT','REAL').
4246 check_strict_subset_of_global_sets(interval(Low1,Up1),interval(Low2,Up2)) :-
4247 ? check_strict_subset_intervals(Low1,Up1,Low2,Up2).
4248
4249 check_strict_subset_intervals(Low1,Up1,Low2,Up2) :-
4250 safe_less_than_equal_with_inf_clpfd(Low2,Up2), % Low2..Up2 not empty
4251 ? check_strict_subset_intervals1(Low1,Up1,Low2,Up2).
4252
4253 check_strict_subset_intervals1(Low1,Up1,Low2,Up2) :- % we cannot have inf as term (yet) here
4254 %preferences:preference(use_clpfd_solver,true),
4255 (var(Low1) ; var(Up1)),
4256 finite_interval(Low1,Up1), finite_interval(Low2,Up2),
4257 !,
4258 clpfd_interface:post_constraint2((Low1 #=< Up1) #=> ((Low2 #=< Low1) #/\ (Up1 #=< Up2) #/\ (Low1 #\= Low2 #\/ Up1 #\= Up2)),Posted),
4259 (Posted==true -> true ; check_strict_subset_intervals2(Low1,Up1,Low2,Up2)).
4260 ?check_strict_subset_intervals1(Low1,Up1,Low2,Up2) :- check_strict_subset_intervals2(Low1,Up1,Low2,Up2).
4261
4262 :- block check_strict_subset_intervals2(-,?,?,?),check_strict_subset_intervals2(?,-,?,?),
4263 check_strict_subset_intervals2(?,?,-,?).
4264 check_strict_subset_intervals2(Low1,Up1,_,_) :- safe_less_than_with_inf(Up1,Low1). % interval 1 empty
4265 check_strict_subset_intervals2(Low1,Up1,Low2,Up2) :-
4266 safe_less_than_equal_with_inf(Low1,Up1), % interval 1 not empty
4267 ( safe_less_than_with_inf(Low2,Low1), safe_less_than_equal_with_inf_clpfd(Up1,Up2)
4268 ;
4269 Low1=Low2,safe_less_than_with_inf_clpfd(Up1,Up2)
4270 ).
4271
4272 :- use_module(custom_explicit_sets,[is_definitely_maximal_set/1,singleton_set/2]).
4273 :- use_module(kernel_tools,[ground_value_check/2, quick_same_value/2]).
4274
4275 check_subset_of0(Set1,_Set2,_WF) :- Set1==[],!.
4276 check_subset_of0(Set1,Set2,WF) :- Set2==[],
4277 %nonvar(Set2),Set2=[], %var(Set1),
4278 !,
4279 ? empty_set_wf(Set1,WF).
4280 check_subset_of0(_Set1,Set2,_WF) :-
4281 nonvar(Set2),is_definitely_maximal_set(Set2),!.
4282 %singleton
4283 check_subset_of0(Set1,Set2,_) :-
4284 quick_same_value(Set1,Set2), % important for e.g. test 1948 for closures with different info fields
4285 !.
4286 check_subset_of0(Set1,Set2,WF) :- custom_explicit_sets:singleton_set(Set1,El),!,
4287 ? check_element_of_wf(El,Set2,WF).
4288 check_subset_of0(Set1,Set2,WF) :- % Note: two intervals are treated in check_subset_of_global_sets
4289 subset_of_explicit_set(Set1,Set2,Code,WF),!,
4290 ? call(Code).
4291 check_subset_of0(Set1,Set2,WF) :- nonvar(Set1),!,
4292 get_cardinality_powset_wait_flag(Set2,check_subset_of0,WF,_,LWF),
4293 expand_custom_set_to_list_wf(Set1,ESet1,_,check_subset_of1,WF),
4294 try_expand_and_convert_to_avl_unless_large_wf(Set2,ESet2,WF),
4295 % b_interpreter_components:observe_instantiation(ESet1,'ESet1',ESet1),
4296 ? check_subset_of2(ESet1,[],ESet2,WF,LWF,none).
4297 check_subset_of0(Set1,Set2,WF) :-
4298 is_wait_flag_info(WF,wfx_no_enumeration),!,
4299 check_subset_of0_lwf(Set1,Set2,WF,_LWF,_).
4300 check_subset_of0(Set1,Set2,WF) :-
4301 % DO we need LWF if Set1=avl_set(_) ??
4302 get_cardinality_powset_wait_flag(Set2,check_subset_of0,WF,_Card,LWF),
4303 ground_value_check(Set2,GS2),
4304 check_subset_of0_lwf(Set1,Set2,WF,LWF,GS2).
4305
4306 :- use_module(custom_explicit_sets,[is_infinite_or_very_large_explicit_set/2]).
4307
4308 :- block check_subset_of0_lwf(-,?,?,-,?),check_subset_of0_lwf(-,?,?,?,-).
4309 check_subset_of0_lwf(Set1,_Set2,_WF,_LWF,_GS2) :- Set1==[],!.
4310 %check_subset_of0_lwf(Set1,Set2,WF,_LWF) :- Set2==[],!, % can never trigger as Set2 was already nonvar
4311 % empty_set_wf(Set1,WF).
4312 check_subset_of0_lwf(Set1,Set2,WF,_LWF,_GS2) :- custom_explicit_sets:singleton_set(Set1,El),!,
4313 ? check_element_of_wf(El,Set2,WF).
4314 check_subset_of0_lwf(Set1,Set2,_WF,_,_) :-
4315 both_global_sets(Set1,Set2,G1,G2),!, % may now succeed compared to same check above, as Set1/Set2 now instantiated
4316 check_subset_of_global_sets(G1,G2).
4317 check_subset_of0_lwf(Set1,Set2,WF,_LWF,_GS2) :- % Note: two intervals are treated in check_subset_of_global_sets
4318 nonvar(Set1), % otherwise we have already checked this code above
4319 subset_of_explicit_set(Set1,Set2,Code,WF),!,
4320 call(Code).
4321 check_subset_of0_lwf(Set1,Set2,WF,LWF,_GS2) :-
4322 (nonvar(Set1) ; nonvar(Set2),dont_expand_this_explicit_set(Set2)),
4323 !,
4324 expand_custom_set_to_list_wf(Set1,ESet1,_,check_subset_of1,WF),
4325 try_expand_and_convert_to_avl_unless_large_wf(Set2,ESet2,WF),
4326 % b_interpreter_components:observe_instantiation(ESet1,'ESet1',ESet1),
4327 ? check_subset_of2(ESet1,[],ESet2,WF,LWF,none).
4328 check_subset_of0_lwf(Set1,Set2,WF,_LWF,_GS2) :-
4329 expand_custom_set_to_list_wf(Set2,ESet2,_,check_subset_of0_lwf,WF), % Set2 is ground
4330 % THIS WILL ENUMERATE, for something like dom(f) <: SET this is problematic, as information cannot be used
4331 % hence we use wfx_no_enumeration above
4332 %non_free(Set1), % we used to enumerate Set1 in a specific order ESet2; now we use equal_object_wf and we no longer need to mark Set1 as non-free ?
4333 ? gen_subsets(Set1,ESet2,WF).
4334
4335 :- block check_subset_of2(-,?,?,?,-, ?).
4336 check_subset_of2([],_SoFar,_Set2,_WF,_LWF,_Last).
4337 check_subset_of2(HT,SoFar,Set2,WF,LWF,Last) :-
4338 (var(HT),Set2 = avl_set(AVL)
4339 -> % the value is chosen by the enumerator
4340 ? custom_explicit_sets:safe_avl_member(H,AVL),
4341 % this forces H to be ground; if Last /= none then it will be ground
4342 (Last==none -> true ; Last @< H),
4343 % TO DO: we could write a safe_avl_member_greater_than(H,Last,AVL)
4344 not_element_of_wf(H,SoFar,WF),
4345 NewLast=H,
4346 HT = [H|T]
4347 ; % the value may have been chosen by somebody else or will not be enumerated in order below
4348 HT = [H|T],
4349 ? not_element_of_wf(H,SoFar,WF),
4350 ? check_element_of_wf_lwf(H,Set2,WF,LWF),
4351 %check_element_of_wf(H,Set2,WF),
4352
4353 NewLast = Last
4354 ),
4355 ? check_subset_of3(H,T,SoFar,Set2,WF,LWF,NewLast).
4356
4357 % TO DO: write specific subsets code for avl_set(Set2) + try expand when becomes ground; merge with enumerate_tight_set ,...
4358 % TO DO: ensure that it also works with global_set(T) instead of avl_set(_) or with interval closures
4359
4360
4361 :- block check_subset_of3(?,-,-,?,?,-,?), check_subset_of3(?,-,?,-,?,-,?), check_subset_of3(?,-,-,-,?,?,?).
4362 check_subset_of3(_,T,_,_Set2,_WF,_LWF,_) :- T==[],!.
4363 check_subset_of3(H,T,SoFar,Set2,WF,LWF,Last) :- var(T),!,
4364 % Sofar, Set2 and LWF must be set
4365 ? when((nonvar(T);(ground(Set2),ground(H),ground(SoFar))),
4366 (T==[] -> true
4367 ; add_new_element_wf(H,SoFar,SoFar2,WF), %SoFar2 = [H|SoFar],
4368 check_subset_of2(T,SoFar2,Set2,WF,LWF,Last))).
4369 check_subset_of3(H,T,SoFar,Set2,WF,LWF,Last) :-
4370 % T must be set and not equal to []
4371 T = [H2|T2],
4372 add_new_element_wf(H,SoFar,SoFar2,WF), %SoFar2 = [H|SoFar],
4373 %check_subset_of2(T,SoFar2,Set2,WF,LWF))),
4374 ? check_element_of_wf(H2,Set2,WF),
4375 ? not_element_of_wf(H2,SoFar2,WF),
4376 ? check_subset_of3(H2,T2,SoFar2,Set2,WF,LWF,Last).
4377
4378
4379 :- block gen_subsets(?,-,?).
4380 gen_subsets([],_,_).
4381 gen_subsets(SubSet,Set,WF) :-
4382 ? ordered_delete(DH,Set,NewSet),
4383 ? equal_object_wf([DH|T],SubSet,gen_subsets,WF),
4384 ? gen_subsets(T,NewSet,WF).
4385
4386 % note: this is not select/3
4387 ordered_delete(H,[H|T],T).
4388 ?ordered_delete(H,[_|T],R) :- ordered_delete(H,T,R).
4389
4390
4391 :- assert_must_succeed(exhaustive_kernel_check_wf(check_finite_non_empty_subset_of_wf([int(1),int(5)], [int(2),int(5),int(1),int(3)],WF),WF)).
4392 :- assert_must_succeed(exhaustive_kernel_check_wf(check_finite_non_empty_subset_of_wf([int(1),int(5)], [int(5),int(1)],WF),WF)).
4393 check_finite_non_empty_subset_of_wf(Set1,Set2,WF) :-
4394 check_non_empty_subset_of_wf(Set1,Set2,WF),
4395 is_finite_set_wf(Set1,WF).
4396
4397 :- assert_must_succeed(exhaustive_kernel_check_wf(check_non_empty_subset_of_wf([int(1),int(5)], [int(2),int(5),int(1),int(3)],WF),WF)).
4398 :- assert_must_succeed(exhaustive_kernel_fail_check_wfdet(check_non_empty_subset_of_wf([int(2)], [int(5),int(1)],WF),WF)).
4399 :- assert_must_succeed(exhaustive_kernel_fail_check_wfdet(check_non_empty_subset_of_wf([], [int(1)],WF),WF)).
4400
4401 check_non_empty_subset_of_wf(S1,S2,WF) :- not_empty_set_wf(S1,WF),
4402 ? check_subset_of_wf(S1,S2,WF).
4403
4404 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_subset_of([int(1),int(2),int(5)], [int(2),int(4),int(1),int(3)]))).
4405 :- assert_must_succeed(exhaustive_kernel_fail_check(not_subset_of([int(1),int(2),int(5)], [int(2),int(5),int(1),int(3)]))).
4406 :- assert_must_succeed((kernel_objects:not_subset_of(X,Y), Y = [fd(1,'Name')], X=global_set('Name'))).
4407 :- assert_must_succeed((kernel_objects:not_subset_of(X,Y), Y = [fd(1,'Name')], X=[fd(2,'Name')])).
4408 :- assert_must_succeed((kernel_objects:not_subset_of(X,Y), Y = [fd(1,'Name')], X=[fd(1,'Name'),fd(2,'Name')])).
4409 :- assert_must_fail((kernel_objects:not_subset_of(Y,X), Y = [fd(1,'Name'),fd(3,'Name')], X=global_set('Name'))).
4410 :- assert_must_fail((kernel_objects:not_subset_of(Y,X), Y = [fd(1,'Name'),fd(3,'Name'),fd(2,'Name')], X=global_set('Name'))).
4411 :- assert_must_fail((kernel_objects:not_subset_of(X,Y), Y = [fd(1,'Name'),fd(3,'Name'),fd(2,'Name')], X=global_set('Name'))).
4412 :- assert_must_fail((kernel_objects:not_subset_of(global_set('NAT'),global_set('NAT')))).
4413 :- assert_must_succeed((kernel_objects:not_subset_of(global_set('NAT'),global_set('NAT1')))).
4414
4415
4416 not_subset_of(Set1,Set2) :- init_wait_flags(WF),
4417 not_subset_of_wf(Set1,Set2,WF),
4418 ground_wait_flags(WF).
4419
4420 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_finite_subset_of_wf([int(1),int(2),int(5)], [int(2),int(4),int(1),int(3)],_WF))).
4421 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_finite_subset_of_wf(global_set('NATURAL'), global_set('INTEGER'),_WF))).
4422 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_finite_subset_of_wf(global_set('INTEGER'), global_set('INTEGER'),_WF))).
4423 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_finite_subset_of_wf([int(1)], [],_WF))).
4424
4425 :- block not_finite_subset_of_wf(-,?,?).
4426 not_finite_subset_of_wf(Set1,Set2,WF) :- test_finite_set_wf(Set1,Finite,WF),
4427 not_finite_subset_of_wf_aux(Finite,Set1,Set2,WF).
4428 :- block not_finite_subset_of_wf_aux(-,?,?,?).
4429 not_finite_subset_of_wf_aux(pred_false,_Set1,_Set2,_WF).
4430 not_finite_subset_of_wf_aux(pred_true,Set1,Set2,WF) :- not_subset_of_wf(Set1,Set2,WF).
4431
4432 :- block not_subset_of_wf(-,?,?).
4433 not_subset_of_wf([],_,_WF) :- !, fail.
4434 not_subset_of_wf(Set1,Set2,WF) :- Set2==[],!, not_empty_set_wf(Set1,WF).
4435 not_subset_of_wf(Set1,Set2,WF) :-
4436 (both_global_sets(Set1,Set2,G1,G2) % also catches intervals
4437 -> check_not_subset_of_global_sets(G1,G2)
4438 ? ; not_subset_of_wf1(Set1,Set2,WF)
4439 ).
4440 not_subset_of_wf1(_Set1,Set2,_WF) :-
4441 nonvar(Set2), is_definitely_maximal_set(Set2),!,fail.
4442 not_subset_of_wf1(Set1,Set2,_WF) :- quick_same_value(Set1,Set2),
4443 !, fail.
4444 not_subset_of_wf1(Set1,Set2,WF) :- custom_explicit_sets:singleton_set(Set1,El),!,
4445 ? not_element_of_wf(El,Set2,WF).
4446 ?not_subset_of_wf1(Set1,Set2,WF) :- not_subset_of_explicit_set(Set1,Set2,Code,WF),!,
4447 call(Code).
4448 not_subset_of_wf1(Set1,Set2,WF) :-
4449 expand_custom_set_to_list_wf(Set1,ESet1,_,not_subset_of_wf1,WF),
4450 not_subset_of2(ESet1,Set2,WF).
4451
4452
4453 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(0,2),interval(1,3))).
4454 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(1,2),interval(0,-1))).
4455 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(1,2),interval(4,3))).
4456 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(2,4),interval(1,3))).
4457 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(1,9000),interval(2,9999))).
4458 :- assert_must_succeed((kernel_objects:check_not_subset_of_global_sets(interval(X2,X4),interval(1,3)),
4459 X2=2, X4=4)).
4460 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(2,4),interval(1,4))).
4461 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(2,4),interval(2,4))).
4462 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(2,4),interval(0,10))).
4463 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(0,2),interval(1,inf))).
4464 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(-1,2),interval(0,inf))).
4465 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(1,2),interval(1,inf))).
4466 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(0,2),interval(0,inf))).
4467 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(-1,2),interval(minus_inf,inf))).
4468 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(0,inf),interval(1,inf))).
4469 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(minus_inf,inf),interval(1,inf))).
4470 :- assert_must_succeed(kernel_objects:check_not_subset_of_global_sets(interval(minus_inf,inf),interval(0,inf))).
4471 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(1,inf),interval(minus_inf,inf))).
4472 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(1,inf),interval(1,inf))).
4473 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(1,inf),interval(0,inf))).
4474 :- assert_must_fail(kernel_objects:check_not_subset_of_global_sets(interval(0,inf),interval(0,inf))).
4475
4476 :- block check_not_subset_of_global_sets(-,?), check_not_subset_of_global_sets(?,-).
4477 check_not_subset_of_global_sets(interval(Low1,Up1),G2) :- !,
4478 safe_less_than_equal_with_inf_clpfd(Low1,Up1), % Set 1 is not empty; otherwise it will always be a subset
4479 not_subset_interval_gs_aux(G2,Low1,Up1).
4480 check_not_subset_of_global_sets(G1,G2) :-
4481 \+ check_subset_of_global_sets(G1,G2).
4482
4483 not_subset_interval_gs_aux(interval(Low2,Up2),Low1,Up1) :-
4484 finite_interval(Low1,Up1), finite_interval(Low2,Up2),
4485 !,
4486 % post_constraint2((Low1 #<Low2 #\/ Up1 #> Up2 #\/ Up2 #< Low1),Posted), %% X #<100 #\/ X#<0. does not constraint X ! but X #<max(100,0) does
4487 post_constraint2((Low1 #<Low2 #\/ Up2 #< max(Up1,Low1)),Posted),
4488 (Posted==true -> true ; not_interval_subset(Low1,Up1,Low2,Up2)).
4489 not_subset_interval_gs_aux(interval(Low2,Up2),Low1,Up1) :- !, not_interval_subset(Low1,Up1,Low2,Up2).
4490 not_subset_interval_gs_aux(GS2,Low1,Up1) :-
4491 when((nonvar(Low1),nonvar(Up1)), \+ check_subset_of_global_sets(interval(Low1,Up1),GS2)).
4492
4493 not_interval_subset(Val1,Up1,Low2,Up2) :- var(Val1), Val1==Up1,
4494 !, % better propagation for singleton set
4495 (Up2==inf -> Low2\==minus_inf, less_than_direct(Val1,Low2)
4496 ; Low2=minus_inf -> less_than_direct(Up2,Val1)
4497 ; not_in_nat_range(int(Val1),int(Low2),int(Up2))).
4498 not_interval_subset(Low1,_,Low2,Up2) :- Up2==inf, finite_val(Low2), finite_val(Low1),
4499 % typical case x..y /<: NATURAL <==> x < 0
4500 !,
4501 less_than_direct(Low1,Low2).
4502 not_interval_subset(_,Up1,Low2,Up2) :- Low2==minus_inf, finite_val(Up2), finite_val(Up1),
4503 % covers x..y /<: {x|x<=0} <==> y > 0
4504 !,
4505 less_than_direct(Up2,Up1).
4506 not_interval_subset(Low1,Up1,Low2,Up2) :- not_interval_subset_block(Low1,Up1,Low2,Up2).
4507 :- block not_interval_subset_block(-,?,?,?), not_interval_subset_block(?,-,?,?),
4508 not_interval_subset_block(?,?,-,?), not_interval_subset_block(?,?,?,-).
4509 not_interval_subset_block(Low1,Up1,Low2,Up2) :- % this could be decided earlier, e.g. 1..n /<: 1..inf is false
4510 \+ interval_subset(Low1,Up1,Low2,Up2).
4511
4512
4513 :- block not_subset_of2(-,?,?).
4514 not_subset_of2([H|T],Set2,WF) :-
4515 (T==[]
4516 -> not_element_of_wf(H,Set2,WF)
4517 ; membership_test_wf(Set2,H,MemRes,WF),
4518 propagate_empty_set_to_pred_false(T,MemRes), % if T becomes empty, we know that H must not be in Set2
4519 not_subset_of3(MemRes,T,Set2,WF)
4520 ).
4521
4522 :- block not_subset_of3(-,?,?,?).
4523 not_subset_of3(pred_false,_T,_Set2,_WF).
4524 not_subset_of3(pred_true,T,Set2,WF) :- not_subset_of2(T,Set2,WF).
4525
4526 :- block propagate_empty_set_to_pred_false(-,-).
4527 propagate_empty_set_to_pred_false(X,PredRes) :- X==[],!,PredRes=pred_false.
4528 propagate_empty_set_to_pred_false(_,_).
4529
4530 :- assert_must_succeed(exhaustive_kernel_check_wf(not_both_subset_of([int(1),int(2),int(5)], []
4531 ,[int(2),int(4),int(1),int(3)],[],WF),WF)).
4532 :- assert_must_succeed(exhaustive_kernel_check_wf(not_both_subset_of([int(1),int(2),int(5)], [int(3)],
4533 [int(2),int(5),int(1),int(3)],[int(1),int(4)],WF),WF)).
4534
4535 not_both_subset_of(Set1A,Set1B, Set2A,Set2B, WF) :-
4536 kernel_equality:subset_test(Set1A,Set2A,Result,WF), % not yet implemented ! % TODO ! -> sub_set,equal,super_set
4537 not_both_subset_of_aux(Result,Set1B,Set2B,WF).
4538
4539 :- block not_both_subset_of_aux(-,?,?,?).
4540 not_both_subset_of_aux(pred_false,_Set1B,_Set2B,_WF).
4541 not_both_subset_of_aux(pred_true,Set1B,Set2B,WF) :-
4542 not_subset_of_wf(Set1B,Set2B,WF).
4543
4544 /***********************************/
4545 /* not_strict_subset_of(Set1,Set2) */
4546 /* Set1 /<<: Set2 */
4547 /**********************************/
4548
4549
4550 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_strict_subset_of([int(1),int(2),int(5)], [int(2),int(4),int(1),int(3)]))).
4551 :- assert_must_succeed(exhaustive_kernel_succeed_check(not_strict_subset_of([int(1),int(2),int(5)], [int(2),int(5),int(1)]))).
4552 :- assert_must_succeed(exhaustive_kernel_fail_check(not_strict_subset_of([int(1),int(2),int(5)], [int(2),int(5),int(1),int(3)]))).
4553 :- assert_must_fail((kernel_objects:not_strict_subset_of(Y,X), Y = [int(1)], X=[int(2),int(1)])).
4554 :- assert_must_fail((kernel_objects:not_strict_subset_of(Y,X), Y = [], X=[int(2),int(1)])).
4555 :- assert_must_fail((kernel_objects:not_strict_subset_of(Y,X), Y = [[int(1),int(2)]], X=[[int(2)],[int(2),int(1)]])).
4556 :- assert_must_fail((kernel_objects:not_strict_subset_of(Y,X), Y = [fd(1,'Name')], X=global_set('Name'))).
4557 :- assert_must_fail((kernel_objects:not_strict_subset_of(Y,X), Y = [fd(3,'Name'),fd(2,'Name')], X=global_set('Name'))).
4558 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [fd(1,'Name'),fd(3,'Name'),fd(2,'Name')], X=global_set('Name'))).
4559 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [fd(1,'Name'),fd(3,'Name')], X=global_set('Name'))).
4560 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [int(1)], X=[int(2),int(1)])).
4561 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [int(1),int(2)], X=[int(2),int(1)])).
4562 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [int(2)], X=[int(2)])).
4563 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [int(2)], X=[int(1)])).
4564 :- assert_must_succeed((kernel_objects:not_strict_subset_of(X,Y), Y = [], X=[int(1)])).
4565
4566 not_strict_subset_of(Set1,Set2) :-
4567 (preference(use_chr_solver,true) -> chr_not_subset_strict(Set1,Set2) ; true),
4568 init_wait_flags(WF,[not_strict_subset_of]),
4569 not_strict_subset_of_wf(Set1,Set2,WF),
4570 ground_wait_flags(WF).
4571
4572 :- block not_strict_subset_of_wf(-,?,?),not_strict_subset_of_wf(?,-,?).
4573 not_strict_subset_of_wf(Set1,Set2,WF) :-
4574 (both_global_sets(Set1,Set2,G1,G2)
4575 -> not_strict_subset_of_global_sets(G1,G2)
4576 ; not_strict_subset_of_wf1(Set1,Set2,WF)
4577 ).
4578 ?not_strict_subset_of_wf1(Set1,Set2,WF) :- not_subset_of_explicit_set(Set1,Set2,Code,WF),!,
4579 equality_objects_wf(Set1,Set2,EqRes,WF),
4580 not_strict_eq_check(EqRes,Code).
4581 not_strict_subset_of_wf1(Set1,Set2,WF) :-
4582 % OLD VERSION: not_subset_of(Set1,Set2) ; check_equal_object(Set1,Set2).
4583 expand_custom_set_to_list_wf(Set1,ESet1,_,not_strict_subset_of_wf1,WF),
4584 ? (nonvar(Set2),is_infinite_explicit_set(Set2) -> Inf=infinite ; Inf=unknown),
4585 not_strict_subset_of2(ESet1,Set2,Inf,WF).
4586
4587 :- block not_strict_eq_check(-,?).
4588 not_strict_eq_check(pred_true,_). % if equal then not strict subset is true
4589 not_strict_eq_check(pred_false,Code) :- call(Code). % check if not subset
4590
4591 :- block not_strict_subset_of2(-,?,?,?).
4592 not_strict_subset_of2([],R,_,WF) :- empty_set_wf(R,WF).
4593 not_strict_subset_of2([H|T],Set2,Inf,WF) :-
4594 membership_test_wf(Set2,H,MemRes,WF),
4595 not_strict_subset_of3(MemRes,H,T,Set2,Inf,WF).
4596
4597 :- block not_strict_subset_of3(-,?,?,?,?,?).
4598 not_strict_subset_of3(pred_false,_H,_T,_Set2,_,_WF).
4599 not_strict_subset_of3(pred_true,H,T,Set2,Inf,WF) :-
4600 (Inf=infinite
4601 -> RS2=Set2 % Set1 is finite; we just have to check that all elements are in Set2 and we have a strict subset
4602 ; remove_element_wf(H,Set2,RS2,WF)),
4603 not_strict_subset_of2(T,RS2,Inf,WF).
4604
4605
4606 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(0,2),interval(1,3))).
4607 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(1,2),interval(0,-1))).
4608 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(1,2),interval(4,3))).
4609 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(2,4),interval(1,3))).
4610 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(1,9000),interval(2,9999))).
4611 :- assert_must_succeed((kernel_objects:not_strict_subset_of_global_sets(interval(X2,X4),interval(1,3)),
4612 X2=2, X4=4)).
4613 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(2,4),interval(1,4))).
4614 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(2,4),interval(2,4))).
4615 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(2,4),interval(0,10))).
4616 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(0,2),interval(1,inf))).
4617 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(-1,2),interval(0,inf))).
4618 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(1,2),interval(1,inf))).
4619 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(0,2),interval(0,inf))).
4620 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(-1,2),interval(minus_inf,inf))).
4621 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(0,inf),interval(1,inf))).
4622 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(minus_inf,inf),interval(1,inf))).
4623 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(minus_inf,inf),interval(0,inf))).
4624 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(1,inf),interval(minus_inf,inf))).
4625 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(1,inf),interval(1,inf))).
4626 :- assert_must_fail(kernel_objects:not_strict_subset_of_global_sets(interval(1,inf),interval(0,inf))).
4627 :- assert_must_succeed(kernel_objects:not_strict_subset_of_global_sets(interval(0,inf),interval(0,inf))).
4628
4629 :- block not_strict_subset_of_global_sets(-,?), not_strict_subset_of_global_sets(?,-).
4630 not_strict_subset_of_global_sets(interval(Low1,Up1),interval(Low2,Up2)) :- !,
4631 % Note: if Low2>Up2 then nothing is a strict subset of the empty set, i.e., everything is not a strict subset
4632 (finite_interval(Low1,Up1), finite_interval(Low2,Up2)
4633 -> clpfd_interface:post_constraint2(((Low2 #=< Up2) #=> (Low1 #=< Up1 #/\ ((Low2 #> Low1) #\/ (Up1 #> Up2) #\/ ((Low1 #= Low2 #/\ Up1 #= Up2))))),Posted)
4634 ; Posted=false),
4635 (Posted==true -> true ; not_strict_subset_intervals(Low1,Up1,Low2,Up2)).
4636 not_strict_subset_of_global_sets(G1,G2) :-
4637 when((ground(G1),ground(G2)), \+check_strict_subset_of_global_sets(G1,G2)).
4638
4639 :- block not_strict_subset_intervals(?,?,-,?), not_strict_subset_intervals(?,?,?,-).
4640 % Instead of blocking on Low2,Up2 we could post bigger constraint (Low2 <= Up2 => (Low1 <= Up1 /\ ....
4641 not_strict_subset_intervals(_Low1,_Up1,Low2,Up2) :- safe_less_than_with_inf(Up2,Low2),!.
4642 not_strict_subset_intervals(Low1,Up1,Low2,Up2) :-
4643 safe_less_than_equal_with_inf_clpfd(Low1,Up1), % if Low1..Up1 is empty then it would be a strict subset
4644 not_check_strict_subset_intervals2(Low1,Up1,Low2,Up2).
4645 :- block not_check_strict_subset_intervals2(-,?,?,?),not_check_strict_subset_intervals2(?,-,?,?),
4646 not_check_strict_subset_intervals2(?,?,-,?).
4647 ?not_check_strict_subset_intervals2(Low1,Up1,Low2,Up2) :- \+ check_strict_subset_intervals2(Low1,Up1,Low2,Up2).
4648
4649
4650 /* Set1 /: FIN1(Set2) */
4651 :- assert_must_succeed((kernel_objects:not_non_empty_finite_subset_of_wf(Y,X,_WF), X = [int(1)], Y=[int(2)])).
4652 :- assert_must_succeed((kernel_objects:not_non_empty_finite_subset_of_wf(Y,X,_WF), X=[int(1)], Y=[int(1),int(2)])).
4653 :- assert_must_succeed((kernel_objects:not_non_empty_finite_subset_of_wf(Y,X,_WF), X = [int(1)], Y=[])).
4654 :- assert_must_fail((kernel_objects:not_non_empty_finite_subset_of_wf(Y,X,_WF), X = [int(1)], Y=[int(1)])).
4655
4656 :- block not_non_empty_finite_subset_of_wf(-,?,?).
4657 not_non_empty_finite_subset_of_wf(Set1,Set2,WF) :- test_finite_set_wf(Set1,Finite,WF),
4658 not_non_empty_finite_subset_of_aux(Finite,Set1,Set2,WF).
4659 :- block not_non_empty_finite_subset_of_aux(-,?,?,?).
4660 not_non_empty_finite_subset_of_aux(pred_false,_Set1,_Set2,_WF).
4661 not_non_empty_finite_subset_of_aux(pred_true,Set1,Set2,WF) :- not_non_empty_subset_of_wf(Set1,Set2,WF).
4662
4663 /* Set1 /: POW1(Set2) */
4664 :- assert_must_succeed(exhaustive_kernel_check_wf(not_non_empty_subset_of_wf([int(1)], [int(2),int(3)],WF),WF)).
4665 :- assert_must_succeed(exhaustive_kernel_fail_check_wf(not_non_empty_subset_of_wf([int(2)], [int(2),int(3)],WF),WF)).
4666 :- assert_must_succeed((kernel_objects:not_non_empty_subset_of_wf(Y,X,_WF), X = [int(1)], Y=[int(2)])).
4667 :- assert_must_succeed((kernel_objects:not_non_empty_subset_of_wf(Y,X,_WF), X=[int(1)], Y=[int(1),int(2)])).
4668 :- assert_must_succeed((kernel_objects:not_non_empty_subset_of_wf(Y,X,_WF), X = [int(1)], Y=[])).
4669 :- assert_must_fail((kernel_objects:not_non_empty_subset_of_wf(Y,X,_WF), X = [int(1)], Y=[int(1)])).
4670
4671 % Set1 /: POW1(Set2)
4672 :- block not_non_empty_subset_of_wf(-,?,?).
4673 not_non_empty_subset_of_wf(Set1,_,_WF) :- Set1==[],!.
4674 not_non_empty_subset_of_wf(Set1,Set2,WF) :- % Maybe introduce binary choice point ?
4675 empty_set_wf(Set1,WF) ;
4676 not_subset_of_wf(Set1,Set2,WF).
4677
4678
4679 /* min, max */
4680
4681 :- assert_must_succeed(exhaustive_kernel_check(minimum_of_set([int(1)],int(1),unknown,_WF))).
4682 :- assert_must_succeed(exhaustive_kernel_check(minimum_of_set([int(2),int(3),int(1)],int(1),unknown,_WF))).
4683 :- assert_must_succeed(exhaustive_kernel_fail_check(minimum_of_set([int(2),int(3),int(1)],int(2),unknown,_WF))).
4684 :- assert_must_succeed((kernel_objects:minimum_of_set(Y,X,unknown,_WF), X = int(1), Y=[int(1)])).
4685 :- assert_must_succeed((kernel_objects:minimum_of_set(Y,X,unknown,_WF), X = int(1), Y=[int(2),int(1)])).
4686 :- assert_must_succeed((kernel_objects:minimum_of_set(Y,X,unknown,_WF), X = int(1), Y=[int(1),int(2),int(1),int(3)])).
4687 :- assert_must_fail((kernel_objects:minimum_of_set(Y,X,unknown,_WF), X = int(2), Y=[int(1),int(2),int(1),int(3)])).
4688 :- assert_must_abort_wf(kernel_objects:minimum_of_set([],_R,unknown,WF),WF).
4689 %:- must_succeed(kernel_waitflags:assert_must_abort2_wf(kernel_objects:minimum_of_set([],_R,WF),WF)).
4690
4691 :- block minimum_of_set_extension_list(-,?,?,?).
4692 minimum_of_set_extension_list(ListOfValues,int(Min),Span,WF) :-
4693 minimum_of_set2(ListOfValues,Min,Span,WF).
4694
4695 :- block minimum_of_set(-,?,?,?).
4696 minimum_of_set(Set1,Res,_Span,WF) :- is_custom_explicit_set(Set1,minimum_of_set),
4697 min_of_explicit_set_wf(Set1,Min,WF), !,
4698 equal_object_wf(Min,Res,minimum_of_set,WF).
4699 minimum_of_set(Set1,int(Min),Span,WF) :-
4700 expand_custom_set_to_list_wf(Set1,ESet1,_,minimum_of_set,WF),
4701 (var(ESet1),Set1=closure(_,_,_)
4702 ? -> quick_propagation_element_information(Set1,int(Min),WF,_) ; true),
4703 minimum_of_set2(ESet1,Min,Span,WF).
4704 :- block minimum_of_set2(-,?,?,?).
4705 minimum_of_set2([],Res,Span,WF) :-
4706 add_wd_error_set_result('min applied to empty set','',Res,int(0),Span,WF).
4707 minimum_of_set2([int(N)|T],Min,_,_) :- clpfd_geq2(N,Min,_),minimum_of_set3(T,N,Min,[N]).
4708
4709 :- block minimum_of_set3(-,?,?,?). % with CLPFD: makes sense to also unfold if Min Variable; hence no longer block on : minimum_of_set3(?,-,-).
4710 minimum_of_set3([],MinSoFar,MinSoFar,ListOfValues) :-
4711 (var(MinSoFar) -> clpfd_minimum(MinSoFar,ListOfValues) ; true).
4712 minimum_of_set3([int(M)|T],MinSoFar,Min,ListOfValues) :- clpfd_geq2(M,Min,_),
4713 minimum(M,MinSoFar,NewMinSoFar),
4714 minimum_of_set3(T,NewMinSoFar,Min,[M|ListOfValues]).
4715
4716
4717 :- block minimum(-,?,?), minimum(?,-,?).
4718 minimum(M1,M2,Min) :- M1<M2 -> Min=M1 ; Min=M2.
4719
4720 :- assert_must_succeed(exhaustive_kernel_check(maximum_of_set([int(1)],int(1),unknown,_WF))).
4721 :- assert_must_succeed(exhaustive_kernel_check(maximum_of_set([int(2),int(3),int(1)],int(3),unknown,_WF))).
4722 :- assert_must_succeed(exhaustive_kernel_fail_check(maximum_of_set([int(2),int(3),int(1)],int(2),unknown,_WF))).
4723 :- assert_must_succeed((kernel_objects:maximum_of_set(Y,X,unknown,_WF), X = int(1), Y=[int(1)])).
4724 :- assert_must_succeed((kernel_objects:maximum_of_set(Y,X,unknown,_WF), X = int(2), Y=[int(2),int(1)])).
4725 :- assert_must_succeed((kernel_objects:maximum_of_set(Y,X,unknown,_WF), X = int(3), Y=[int(1),int(2),int(1),int(3)])).
4726 :- assert_must_fail((kernel_objects:maximum_of_set(Y,X,unknown,_WF), X = int(2), Y=[int(1),int(2),int(1),int(3)])).
4727 :- assert_must_fail((preferences:preference(use_clpfd_solver,true),
4728 kernel_objects:maximum_of_set([int(X),int(_Y)],int(3),unknown,_WF), X = 4)). % in CLPFD modus
4729 :- assert_must_fail((preferences:preference(use_clpfd_solver,true),
4730 kernel_objects:maximum_of_set([int(_),int(X)],int(3),unknown,_WF), X = 4)).% in CLPFD modus
4731 :- assert_must_abort_wf(kernel_objects:maximum_of_set([],_R,unknown,WF),WF).
4732
4733 :- block maximum_of_set_extension_list(-,?,?,?).
4734 maximum_of_set_extension_list(ListOfValues,int(Max),Span,WF) :-
4735 maximum_of_set2(ListOfValues,Max,Span,WF).
4736
4737 :- block maximum_of_set(-,?,?,?).
4738 maximum_of_set(Set1,Res,_Span,WF) :-
4739 is_custom_explicit_set(Set1,maximum_of_set),
4740 max_of_explicit_set_wf(Set1,Max,WF), !,
4741 ? equal_object_wf(Max,Res,maximum_of_set,WF).
4742 maximum_of_set(Set1,int(Max),Span,WF) :-
4743 expand_custom_set_to_list_wf(Set1,ESet1,_,maximum_of_set,WF),
4744 (var(ESet1),Set1=closure(_,_,_)
4745 ? -> quick_propagation_element_information(Set1,int(Max),WF,_) ; true),
4746 maximum_of_set2(ESet1,Max,Span,WF).
4747 :- block maximum_of_set2(-,?,?,?).
4748 maximum_of_set2([],Res,Span,WF) :-
4749 add_wd_error_set_result('max applied to empty set','',Res,int(0),Span,WF). %preferences:get_preference(maxint,R))). %R=abort(maximum_of_empty_set))).
4750 maximum_of_set2([int(N)|T],Max,_Span,_) :- clpfd_geq2(Max,N,_),
4751 ? maximum_of_set3(T,N,Max,[N]).
4752
4753 :- block maximum_of_set3(-,?,?,?). % with CLPFD: makes sense to also unfold if Max Variable; hence no longer block on : maximum_of_set3(?,-,-).
4754 maximum_of_set3([],MaxSoFar,MaxSoFar,ListOfValues) :-
4755 ? (var(MaxSoFar) -> clpfd_maximum(MaxSoFar,ListOfValues) ; true).
4756 maximum_of_set3([int(M)|T],MaxSoFar,Max,ListOfValues) :- clpfd_geq2(Max,M,_),
4757 maximum(M,MaxSoFar,NewMaxSoFar),
4758 maximum_of_set3(T,NewMaxSoFar,Max,[M|ListOfValues]).
4759
4760 :- block maximum(-,?,?), maximum(?,-,?).
4761 maximum(M1,M2,Max) :- M1>M2 -> Max=M1 ; Max=M2.
4762
4763 % card(ran(Function)); useful e.g. for q : 1 .. 16 --> 1 .. 16 & card(ran(q))=16
4764 :- block cardinality_of_range(-,?,?).
4765 cardinality_of_range(CS,Card,WF) :-
4766 is_custom_explicit_set(CS,cardinality_of_range),
4767 range_of_explicit_set_wf(CS,Res,WF),!,
4768 cardinality_as_int_wf(Res,Card,WF).
4769 cardinality_of_range(Function,Card,WF) :-
4770 expand_custom_set_to_list_wf(Function,EF1,Done,cardinality_of_range,WF),
4771 project_on_range(EF1,ERange),
4772 % when Done is set: we have a complete list and can compute MaxCard; TODO: maybe provide a version that can trigger earlier
4773 when(nonvar(Done),cardinality_of_set_extension_list(ERange,Card,WF)).
4774
4775 :- block project_on_range(-,?).
4776 project_on_range([],[]).
4777 project_on_range([(_,Ran)|T],[Ran|TR]) :- project_on_range(T,TR).
4778
4779
4780 :- assert_must_succeed((cardinality_of_set_extension_list([fd(1,'Name')],R,_WF), R = int(1))).
4781 :- assert_must_succeed((cardinality_of_set_extension_list([int(X),int(Y)],int(1),_WF), X=22, Y==22)).
4782
4783 cardinality_of_set_extension_list(List,int(Card),WF) :-
4784 length(List,MaxCard), less_than_equal_direct(Card,MaxCard),
4785 cardinality_of_set_extension_list2(List,[],0,MaxCard,Card,WF).
4786
4787 :- block cardinality_of_set_extension_list2(-,?,?,?,?,?).
4788 cardinality_of_set_extension_list2([],_,AccSz,_MaxCard,Res,_WF) :- Res=AccSz.
4789 cardinality_of_set_extension_list2([H|T],Acc,AccSz,MaxCard,Res,WF) :-
4790 membership_test_wf(Acc,H,MemRes,WF),
4791 (MaxCard==Res -> /* only solution is for H to be not in Acc */ MemRes=pred_false
4792 ; AccSz==Res -> /* only solution is for H to be in Acc */ MemRes=pred_true
4793 ; (var(Res),var(MemRes)) -> kernel_equality:equality_int(MaxCard,Res,EqMaxC),prop_if_pred_true(EqMaxC,MemRes,pred_false),
4794 kernel_equality:equality_int(AccSz,Res,EqAccSz),prop_if_pred_true(EqAccSz,MemRes,pred_true)
4795 ; true),
4796 ? cardinality_of_set_extension_list3(MemRes,H,T,Acc,AccSz,MaxCard,Res,WF).
4797
4798 :- block prop_if_pred_true(-,?,?).
4799 prop_if_pred_true(pred_true,X,X).
4800 prop_if_pred_true(pred_false,_,_).
4801
4802 :- block cardinality_of_set_extension_list3(-,?,?,?,?,?,?,?).
4803 cardinality_of_set_extension_list3(pred_true,_,T,Acc,AccSz,MaxCard,Res,WF) :-
4804 % H is a member of Acc, do not increase Acc nor AccSz; however MaxCard now decreases
4805 less_than_direct(Res,MaxCard), M1 is MaxCard-1,
4806 cardinality_of_set_extension_list2(T,Acc,AccSz,M1,Res,WF).
4807 cardinality_of_set_extension_list3(pred_false,H,T,Acc,AccSz,MaxCard,Res,WF) :-
4808 A1 is AccSz+1, less_than_equal_direct(A1,Res),
4809 ? cardinality_of_set_extension_list2(T,[H|Acc],A1,MaxCard,Res,WF).
4810
4811 :- assert_must_succeed(exhaustive_kernel_check(is_finite_set_wf([fd(1,'Name'),fd(2,'Name')],_WF))).
4812 :- assert_must_succeed((is_finite_set_wf(Y,_WF), Y = [])).
4813 :- assert_must_succeed((is_finite_set_wf(Y,_WF), Y = [int(1),int(2)])).
4814 :- use_module(typing_tools,[contains_infinite_type/1]).
4815 :- use_module(custom_explicit_sets,[card_for_specific_custom_set/3]).
4816
4817 is_finite_set_wf(Set,WF) :- test_finite_set_wf(Set,pred_true,WF).
4818
4819 :- assert_must_succeed(exhaustive_kernel_fail_check(is_infinite_set_wf([fd(1,'Name'),fd(2,'Name')],_WF))).
4820 :- assert_must_fail((is_infinite_set_wf(Y,_WF), Y = [int(1),int(2)])).
4821
4822 ?is_infinite_set_wf(Set,WF) :- test_finite_set_wf(Set,pred_false,WF).
4823
4824 %! test_finite_set_wf(+Set,?X,+WF)
4825 :- block test_finite_set_wf(-,?,?).
4826 %test_finite_set_wf(A,B,C) :- print(test_finite_set_wf(A,B,C)),nl,fail.
4827 test_finite_set_wf([],X,_WF) :- !, X=pred_true.
4828 test_finite_set_wf([_|T],X,WF) :- !, test_finite_set_wf(T,X,WF). % what if Tail contains closure ??
4829 test_finite_set_wf(avl_set(_),X,_WF) :- !, X=pred_true.
4830 test_finite_set_wf(closure(_P,T,_B),X,_WF) :- \+ contains_infinite_type(T), !, X=pred_true.
4831 ?test_finite_set_wf(closure(P,T,B),X,WF) :- !, test_finite_closure(P,T,B,X,WF).
4832 test_finite_set_wf(Set,X,WF) :- /* also deals with global_set(_) */
4833 /* explicit_set_cardinality may trigger an enum warning */
4834 explicit_set_cardinality_wf(Set,Card,WF),
4835 set_finite_result(Card,Set,explicit_set,X).
4836
4837 :- use_module(bsyntaxtree,[is_a_disjunct/3]).
4838 % we already check that contains_infinite_type above
4839 test_finite_closure(P,T,B,X,WF) :- is_a_disjunct(B,D1,D2),!,
4840 test_finite_closure(P,T,D1,X1,WF),
4841 ? test_finite_disj2(X1,P,T,D2,X,WF).
4842 % TO DO: add is_closure1_value_closure
4843 test_finite_closure(P,T,B,X,WF) :- when(ground(B), test_finite_closure_ground(P,T,B,X,WF)).
4844
4845 test_finite_disj2(pred_false,_P,_T,_D2,X,_WF) :- X=pred_false.
4846 test_finite_disj2(pred_true,P,T,D2,X,WF) :- test_finite_closure(P,T,D2,X,WF).
4847
4848
4849 % first: we need to check all constructors such as POW, FIN, ... which card_for_specific_custom_set supports
4850 % problem: if card becomes very large it is replaced by inf, which may give wrong results here (for card(.) we just get a spurious WD warning, here we may get wrong results)
4851 test_finite_closure_ground(P,T,B,X,WF) :-
4852 is_powerset_closure(closure(P,T,B),_Type,Subset),
4853 % note: whether Type is fin, fin1, pow, or pow1 does not matter
4854 !,
4855 test_finite_set_wf(Subset,X,WF).
4856 test_finite_closure_ground(P,T,B,X,WF) :-
4857 custom_explicit_sets:is_lambda_value_domain_closure(P,T,B, Subset,_Expr), !,
4858 test_finite_set_wf(Subset,X,WF).
4859 test_finite_closure_ground(P,T,B,X,WF) :-
4860 ? custom_explicit_sets:is_cartesian_product_closure(closure(P,T,B), A1,B2), !,
4861 test_finite_set_wf(A1,AX,WF),
4862 test_finite_set_wf(B2,BX,WF),
4863 test_finite_cartesian_product_wf(AX,BX,A1,B2,X,WF).
4864 test_finite_closure_ground(Par,Typ,Body, X,_WF) :-
4865 ? custom_explicit_sets:is_geq_leq_interval_closure(Par,Typ,Body,Low,Up), !,
4866 custom_explicit_sets:card_of_interval_inf(Low,Up,Card),
4867 set_finite_result_no_warn(Card,X).
4868 test_finite_closure_ground(P,T,B,X,WF) :-
4869 closures:is_member_closure(P,T,B,_,SET), nonvar(SET),
4870 unary_member_closure_for_finite(SET,Check,SET1),
4871 !,
4872 (Check==finite -> test_finite_set_wf(SET1,X,WF)
4873 ; kernel_equality:empty_set_test_wf(SET1,X,WF)).
4874 % TO DO: catch other special cases : relations, struct,...
4875 test_finite_closure_ground(P,T,B,X,_WF) :-
4876 custom_explicit_sets:card_for_specific_closure(closure(P,T,B),ClosureKind,Card,Code),!,
4877 call(Code), % TO DO: catch if we convert large integer due to overflow to inf !
4878 % maybe we can set / transmit a flag for is_overflowcheck ? overflow_float_pown ? factorial ?
4879 set_finite_result(Card,closure(P,T,B),ClosureKind,X).
4880 test_finite_closure_ground(P,T,B,X,WF) :-
4881 on_enumeration_warning(expand_only_custom_closure_global(closure(P,T,B),Result,check,WF),fail),
4882 !,
4883 test_finite_set_wf(Result,X,WF).
4884 test_finite_closure_ground(P,T,B,X,WF) :- X==pred_true, !,
4885 get_enumeration_finished_wait_flag(WF,AWF), % only add warning if indeed we find a solution
4886 finite_warning(AWF,P,T,B,is_finite_set_closure(P)).
4887 test_finite_closure_ground(P,T,B,_X,_WF) :- !,
4888 finite_warning(now,P,T,B,test_finite_closure(P)),
4889 fail. % now we fail; used to be X=pred_true. % we assume set to be finite, but print a warning
4890 % we could set up the closure and do a deterministic phase: if it fails or all variables become bounded, then it is finite
4891
4892 unary_member_closure_for_finite(seq(b(value(SET1),_,_)),empty,SET1). % finite if SET1 is empty
4893 unary_member_closure_for_finite(seq1(b(value(SET1),_,_)),empty,SET1).
4894 unary_member_closure_for_finite(perm(b(value(SET1),_,_)),finite,SET1). % finite if SET1 is finite
4895 unary_member_closure_for_finite(iseq(b(value(SET1),_,_)),finite,SET1).
4896 unary_member_closure_for_finite(iseq1(b(value(SET1),_,_)),finite,SET1).
4897 unary_member_closure_for_finite(identity(b(value(SET1),_,_)),finite,SET1).
4898 % we could deal with POW/POW1... here
4899 % succ/pred?
4900
4901 :- block test_finite_cartesian_product_wf(-,?,?,?,?,?), test_finite_cartesian_product_wf(?,-,?,?,?,?).
4902 test_finite_cartesian_product_wf(pred_true, pred_true, _,_,X,_) :- !, X=pred_true. % both finite
4903 test_finite_cartesian_product_wf(pred_false,pred_false,_,_,X,_) :- !, X=pred_false. % both infinite
4904 test_finite_cartesian_product_wf(pred_false,pred_true, _,B,X,WF) :- !,
4905 kernel_equality:empty_set_test_wf(B,X,WF). % only finite if B empty
4906 test_finite_cartesian_product_wf(pred_true, pred_false,A,_,X,WF) :- !,
4907 kernel_equality:empty_set_test_wf(A,X,WF). % only finite if B empty
4908
4909
4910 :- block set_finite_result_no_warn(-,?).
4911 set_finite_result_no_warn(inf,X) :- !, X=pred_false.
4912 set_finite_result_no_warn(_,pred_true).
4913
4914 :- block set_finite_result(-,?,?,?).
4915 set_finite_result(inf,_Set,_ClosureKind,X) :- !,
4916 %(Set=closure(P,T,B), \+ precise_closure_kind(ClosureKind)
4917 % -> finite_warning(now,P,T,B,test_finite_closure(P)) % we sometimes return inf for very large sets % TO DO: fix
4918 % ; true),
4919 X=pred_false.
4920 set_finite_result(_,_,_,pred_true).
4921
4922 % inf is now always real infinity; inf_overflow is finite very large cardinality not representable as number
4923 %precise_closure_kind(special_closure). % is_special_infinite_closure is precise, inf is real infinity %%%
4924 %precise_closure_kind(interval_closure). % here we also should never produce inf for a finite but large set
4925
4926
4927 :- assert_must_succeed(exhaustive_kernel_check(cardinality_as_int([int(2),int(4),int(1)],int(3)))).
4928 :- assert_must_succeed((cardinality_as_int(Y,int(2)), Y = [fd(1,'Name'),fd(2,'Name')])).
4929 :- assert_must_succeed((cardinality_as_int(Y,int(2)),
4930 nonvar(Y), Y = [H1|YY], nonvar(YY), YY=[H2], H1=int(0), H2=int(3) )).
4931 :- assert_must_succeed((cardinality_as_int([A|Y],int(3)),
4932 nonvar(Y), Y = [B|YY], nonvar(YY), YY=[C], A=int(1),B=int(3),C=int(2) )).
4933 :- assert_must_succeed((cardinality_as_int(Y,int(1)), Y = [fd(1,'Name')])).
4934 :- assert_must_succeed((cardinality_as_int(Y,int(0)), Y = [])).
4935 :- assert_must_succeed((cardinality_as_int(X,int(3)), equal_object(X,global_set('Name')))).
4936 :- assert_must_fail((cardinality_as_int(Y,int(X)), Y = [fd(1,'Name'),fd(2,'Name')],dif(X,2))).
4937 :- assert_must_succeed_any((preferences:preference(use_clpfd_solver,false) ;
4938 cardinality_as_int_wf(S,int(C),WF), clpfd_interface:try_post_constraint('#>='(C,2)), kernel_waitflags:ground_wait_flags(WF), nonvar(S),S=[_|T],nonvar(T))).
4939 :- assert_must_succeed((cardinality_as_int([int(1)|avl_set(node(int(3),true,0,empty,empty))],int(2)))).
4940 :- assert_must_succeed((cardinality_as_int([int(1)|avl_set(node(int(3),true,0,empty,empty))],X),X==int(2))).
4941 % check that we deal with repeated elements, in case no other predicate sets up a list !
4942 :- assert_must_fail((cardinality_as_int([int(1),int(1)],int(2)))).
4943 :- assert_must_fail((cardinality_as_int([int(1),int(1)],_))).
4944 :- assert_must_fail((cardinality_as_int(X,int(2)),X=[int(1),int(1)])).
4945 :- assert_must_fail((cardinality_as_int([int(3)|avl_set(node(int(3),true,0,empty,empty))],_))).
4946 :- assert_must_fail((cardinality_as_int([X|avl_set(node(int(3),true,0,empty,empty))],int(2)),X=int(3))).
4947
4948
4949 cardinality_as_int(S,I) :- cardinality_as_int_wf(S,I,no_wf_available). % TO DO: remove this predicate ?
4950 %:- load_files(library(system), [when(compile_time), imports([environ/2])]).
4951 %:- if(environ(prob_data_validation_mode,true)).
4952 %:- block cardinality_as_int_wf(-,?,?). % avoid instantiating list skeletons; cause backtracking in unifications,...
4953
4954 % can return inf !
4955 :- block cardinality_as_int_wf(-,-,?).
4956 cardinality_as_int_wf(Set,int(Card),WF) :-
4957 cardinality_as_int1(Set,Card,Card,WF).
4958
4959 cardinality_as_int1(Set,Card,ResCard,WF) :-
4960 (number(Card)
4961 -> cardinality_as_int1b(Set,Card,ResCard,WF)
4962 ; cardinality_as_int1b(Set,Card,ResCard,WF),
4963 (var(Set) ->
4964 (clpfd_domain(Card,Low,_Up),
4965 number(Low), Low>1,
4966 unbound_variable_for_card(Set)
4967 % TO DO: also use this optimization later in cardinality_as_int2
4968 -> setup_ordered_list_skeleton(Low,Skel,open,WF),
4969 Skel=Set
4970 ; get_wait_flag(1,force_non_empty(Set,Card),WF,LWF),
4971 force_non_empty0(Set,Card,LWF)
4972 )
4973 ; true)
4974 ).
4975 % tests 1418, 1419, 1628, 1776 require that cardinality_as_int1b be triggered quickly
4976 :- block cardinality_as_int1b(-,-,?,?). % with this the self-check with post_constraint('#>='(C,2) fails
4977 % cardinality_as_int1(Set, CardValue, ComputedCardValue) : CardValue should be unified with ComputedCardValue afterwards
4978 cardinality_as_int1b(Set,Card,ResCard,WF) :-
4979 %portray_waitflags(WF),nl,
4980 number(Card), unbound_variable_for_card(Set),
4981 !, % we know the cardinality and the set is not yet bound; this improvement is tested in tests 1417, 1418
4982 setup_ordered_list_skeleton(Card,Skel,closed,WF),
4983 (Card,Set) = (ResCard,Skel). % bypass equal_object: assign variable in one-go
4984 cardinality_as_int1b(Set,Card,ResCard,WF) :- nonvar(Set),!,
4985 cardinality_as_int2(Set,0,Card,ResCard,[],WF).
4986 cardinality_as_int1b(Set,Card,ResCard,WF) :-
4987 % Set is a variable but not unbound_variable_for_cons
4988 % Unifications can be very expensive when we set up long lists
4989 % Idea: multiply Card by a factor and delay instantiating; maybe we get a avl_set; see test 456
4990 Prio is Card*100,
4991 get_wait_flag(Prio,cardinality_as_int1(Set,Card),WF,LWF2),
4992 when((nonvar(Set) ; nonvar(LWF2)),
4993 cardinality_as_int2(Set,0,Card,ResCard,[],WF)).
4994 %force_non_empty0(Set,Card,1).
4995
4996 %:- if(environ(prob_data_validation_mode,true)).
4997 %:- block cardinality_as_int2(-,?,?,?,?,?). % avoid instantiating list skeletons; cause backtracking in unifications,...
4998
4999 :- block cardinality_as_int2(-,?,-,?,?,?).
5000 cardinality_as_int2(X,C,Res,ResultValue,_,WF) :-
5001 C==Res,!,empty_set_wf(X,WF),ResultValue=Res. % avoid choice point below
5002 cardinality_as_int2(X,C,Res,ResultValue,SoFar,WF) :- nonvar(X), X \= [], X\= [_|_],!,
5003 (is_custom_explicit_set(X)
5004 -> explicit_set_cardinality_wf(X,ESC,WF), blocking_add_card(C,ESC,ResultValue),
5005 disjoint_sets(X,SoFar,WF)
5006 ; add_error_fail(cardinality_as_int2,'First argument not set: ',cardinality_as_int2(X,C,Res))
5007 ).
5008 cardinality_as_int2([],C,Res,ResultValue,_,_WF) :- C=ResultValue, Res=ResultValue.
5009 cardinality_as_int2([H|T],C,Res,ResultValue,SoFar,WF) :-
5010 C1 is C+1,
5011 not_element_of_wf(H,SoFar,WF), % do we always need to check this ? relevant for test 1828
5012 add_new_element_wf(H,SoFar,SoFar2,WF),
5013 (ground(Res) -> safe_less_than_equal(cardinality_as_int2,C1,Res)
5014 /* check consistency so far if cardinality provided */
5015 ; clpfd_geq(Res,C1,_)
5016 ),
5017 force_non_empty(T,C1,Res,1), % Use WF ?
5018 cardinality_as_int2(T,C1,Res,ResultValue,SoFar2,WF).
5019
5020 % setup an list skeleton with ordering constraints to avoid duplicate solutions
5021 setup_ordered_list_skeleton(0,R,Closed,_WF) :- !, (Closed=closed -> R=[] ; true).
5022 setup_ordered_list_skeleton(N,[H|T],Closed,WF) :-
5023 all_different_wf([H|T],WF),
5024 N1 is N-1, setup_list_skel_aux(N1,H,T,Closed).
5025
5026
5027 :- use_module(kernel_ordering,[ordered_value/2]).
5028 %setup_list_skel_aux(0,_,R,Closed) :- !, (Closed=closed -> R=[] ; true). % if open: TO DO: impose ordering on rest using lazy_ordered_value ? done in next clause below
5029 setup_list_skel_aux(0,Prev,R,Closed) :- !, (Closed=closed -> R=[] ; lazy_ordered_value(R,Prev)).
5030 setup_list_skel_aux(N,Prev,[H|T],Closed) :- ordered_value(Prev,H),
5031 N>0, N1 is N-1, setup_list_skel_aux(N1,H,T,Closed).
5032
5033 :- block lazy_ordered_value(-,?).
5034 lazy_ordered_value([H|T],Prev) :- !, ordered_value(Prev,H), lazy_ordered_value(T,H).
5035 lazy_ordered_value(_,_).
5036
5037
5038 % TO DO: use clpfd all_different for integers !?
5039 % get_integer_list(Set,IntList), clpfd_alldifferent(IntList).
5040 % ensure we have all different constraint in case ordered_value does not succeed in enforcing order!
5041 all_different_wf(ListOfValues,WF) :-
5042 all_different2(ListOfValues,[],WF).
5043 :- block all_different2(-,?,?).
5044 all_different2([],_,_) :- !.
5045 all_different2([H|T],SoFar,WF) :- !, all_different3(SoFar,H,WF), all_different2(T,[H|SoFar],WF).
5046 all_different2(CS,SoFar,WF) :- is_custom_explicit_set(CS),
5047 disjoint_sets(CS,SoFar,WF). % already done above by cardinality_as_int2 ?
5048 all_different3([],_,_).
5049 all_different3([H|T],X,WF) :- not_equal_object_wf(H,X,WF), all_different3(T,X,WF).
5050
5051 :- block force_non_empty0(-,-,-).
5052 force_non_empty0(Set,Card,LWF) :- var(Set), var(Card),
5053 clpfd_domain(Card,Low,Up),
5054 (integer(Low) ; integer(Up)), !, % we know we have a finite cardinality
5055 clpfd_interface:try_post_constraint((Card#=0) #<=> EmptyR01),
5056 prop_non_empty(EmptyR01,Set,LWF).
5057 force_non_empty0(_,_,_).
5058
5059 % here we assume that the cardinalities cannot be infinite inf
5060 :- block force_non_empty(-,?,-,-).
5061 force_non_empty(Set,CSoFar,TotalCard,LWF) :-
5062 var(Set), var(TotalCard),
5063 preference(data_validation_mode,false),!,
5064 clpfd_interface:try_post_constraint((TotalCard#=CSoFar) #<=> EmptyR01),
5065 prop_non_empty(EmptyR01,Set,LWF).
5066 force_non_empty(_,_,_,_).
5067 :- block prop_non_empty(-,-,?).
5068 prop_non_empty(_,X,_) :- nonvar(X),!. % do nothing; cardinality_as_int2 will be called anyway
5069 ?prop_non_empty(0,X,LWF) :- /* X is var; first arg nonvar */ !, not_empty_set_lwf(X,LWF).
5070 %prop_non_empty(1,X,_). % empty_set not really required: TotalCard is now instantiated; cardinality_as_int2 will get called
5071 prop_non_empty(_,_,_).
5072
5073
5074
5075 :- assert_must_succeed(exhaustive_kernel_check(cardinality_as_int_for_wf(global_set('NATURAL'),inf))).
5076 :- assert_must_succeed(exhaustive_kernel_check(cardinality_as_int_for_wf([],0))).
5077 :- assert_must_succeed(exhaustive_kernel_check_opt(cardinality_as_int_for_wf([int(2)],1),
5078 preferences:get_preference(convert_comprehension_sets_into_closures,false))). % in this case inf returned for closures
5079 :- assert_must_succeed(exhaustive_kernel_check_opt(cardinality_as_int_for_wf([int(3),int(1),int(-1),int(100)],4),
5080 preferences:get_preference(convert_comprehension_sets_into_closures,false))).
5081 :- assert_must_succeed(exhaustive_kernel_fail_check_opt(cardinality_as_int_for_wf([int(3),int(1),int(-1),int(100)],1000),
5082 preferences:get_preference(convert_comprehension_sets_into_closures,false))).
5083 :- assert_must_succeed(exhaustive_kernel_fail_check_opt(cardinality_as_int_for_wf(global_set('NATURAL'),1000),
5084 preferences:get_preference(convert_comprehension_sets_into_closures,false))).
5085 % a simpler version without propagation to result; for waitflag priority computation or similar
5086 % it may return inf for closures marked as symbolic !
5087 cardinality_as_int_for_wf(Set,Card) :- cardinality_as_int_for_wf0(Set,0,Card).
5088 :- block cardinality_as_int_for_wf0(-,?,-).
5089 cardinality_as_int_for_wf0(X,C,Res) :-
5090 (nonvar(X) -> cardinality_as_int_for_wf1(X,C,Res)
5091 ; Res==inf -> cardinality_as_int_for_inf(X,C)
5092 % TODO: what about inf_overflow here
5093 ; cardinality_as_int_for_wf2(X,C,Res)).
5094
5095 :- block cardinality_as_int_for_inf(-,?).
5096 cardinality_as_int_for_inf(X,C) :- cardinality_as_int_for_wf1(X,C,inf).
5097
5098 cardinality_as_int_for_wf1([],C,Res) :- !,C=Res.
5099 cardinality_as_int_for_wf1([_H|T],C,Res) :- !,C1 is C+1,
5100 cardinality_as_int_for_wf0(T,C1,Res).
5101 cardinality_as_int_for_wf1(X,C,Res) :- is_custom_explicit_set(X),!,
5102 explicit_set_cardinality_for_wf(X,ESC), blocking_add_card(C,ESC,Res).
5103 cardinality_as_int_for_wf1(term(T),C,Res) :- nonvar(T), T=no_value_for(ID),
5104 format_with_colour(user_error,[bold,red],'~nNo value for ~w for cardinality_as_int_for_wf1!~n',[ID]), % can happen with partial_setup_constants
5105 !, C=Res.
5106 cardinality_as_int_for_wf1(X,C,Res) :-
5107 add_internal_error('First arg is not a set: ',cardinality_as_int_for_wf1(X,C,Res)),fail.
5108
5109 % first argument was var, third argument not inf hence third arg must be set
5110 %cardinality_as_int_for_wf2([],C,C).
5111 cardinality_as_int_for_wf2([],C,Res) :- (C==Res -> ! ; C=Res).
5112 cardinality_as_int_for_wf2([_H|T],C,Res) :- C<Res, C1 is C+1,
5113 (var(T) -> cardinality_as_int_for_wf2(T,C1,Res) ; cardinality_as_int_for_wf1(T,C1,Res)).
5114
5115
5116
5117 :- assert_must_succeed(exhaustive_kernel_check_wf(same_cardinality_wf(global_set('NATURAL'),global_set('NATURAL'),WF),WF)).
5118 :- assert_must_succeed(exhaustive_kernel_check_wf(same_cardinality_wf(global_set('NATURAL'),global_set('NATURAL1'),WF),WF)).
5119 :- assert_must_succeed(exhaustive_kernel_check_wf(same_cardinality_wf([int(2),int(1)],[int(11),int(22)],WF),WF)).
5120 :- assert_must_succeed(exhaustive_kernel_fail_check_wf(same_cardinality_wf([],[int(11),int(22)],WF),WF)).
5121 :- assert_must_succeed(exhaustive_kernel_fail_check_wf(same_cardinality_wf([int(11),int(22),int(33)],[int(11),int(22)],WF),WF)).
5122 :- assert_must_succeed(exhaustive_kernel_fail_check_wf(same_cardinality_wf(global_set('NATURAL1'),[int(11),int(22)],WF),WF)).
5123
5124 :- block same_cardinality_wf(-,-,?).
5125 same_cardinality_wf(Set1,Set2,WF) :-
5126 (var(Set1) -> same_card_aux(Set2,Set1,WF) ; same_card_aux(Set1,Set2,WF)).
5127
5128 same_card_aux(Set1,Set2,WF) :-
5129 (nonvar(Set1),is_custom_explicit_set(Set1,cardinality)
5130 -> explicit_set_cardinality_wf(Set1,Card,WF),
5131 (Card==inf -> is_infinite_set_wf(Set2,WF)
5132 % assumption: if inf then immediately infinite; TO DO: distinguish between infinite(s) and very large
5133 ; cardinality_as_int_wf(Set2,int(Card),WF)
5134 )
5135 ; cardinality3(Set1,PCard,WF),
5136 cardinality_peano_wf(Set2,PCard,WF)
5137 ).
5138
5139 :- assert_must_succeed(exhaustive_kernel_check(cardinality_peano_wf([],0,no_wf_available))).
5140 :- assert_must_succeed(exhaustive_kernel_check(cardinality_peano_wf([int(11)],s(0),no_wf_available))).
5141 :- assert_must_succeed(exhaustive_kernel_check(cardinality_peano_wf([int(11),int(22)],s(s(0)),no_wf_available))).
5142 % cardinality as peano number
5143 :- block cardinality_peano_wf(-,-,?).
5144 cardinality_peano_wf(Set,PCard,WF) :-
5145 (nonvar(Set),is_custom_explicit_set(Set,cardinality)
5146 -> explicit_set_cardinality_wf(Set,Card,WF),
5147 card_convert_int_to_peano(Card,PCard)
5148 ; cardinality3(Set,PCard,WF)
5149 ).
5150
5151 :- assert_must_succeed((kernel_objects:card_convert_int_to_peano(3,s(s(s(0)))))).
5152 :- assert_must_succeed((kernel_objects:card_convert_int_to_peano(2,S),S==s(s(0)))).
5153 :- assert_must_succeed((kernel_objects:card_convert_int_to_peano(X,s(s(s(0)))),X==3)).
5154 :- assert_must_succeed((kernel_objects:card_convert_int_to_peano(X,s(s(s(Y)))),X=4,Y==s(0))).
5155 :- assert_must_fail((kernel_objects:card_convert_int_to_peano(X,s(s(s(_Y)))),X=2)).
5156
5157 :- block card_convert_int_to_peano(-,-).
5158 card_convert_int_to_peano(X,S0) :- var(X), !,
5159 peel_s(S0,SX,RemS),
5160 (RemS==0 -> X=SX
5161 ; int_plus(int(X1),int(SX),int(X)),
5162 ? greater_than_equal(int(X1),int(0)),
5163 card_convert_int_to_peano(X1,RemS)).
5164 card_convert_int_to_peano(inf,X) :- !,
5165 infinite_peano(X),
5166 add_message(cardinality,'*** WARNING: Large or infinite Cardinality.').
5167 %convert_int_to_peano(100,X). % used to limit to 100
5168 ?card_convert_int_to_peano(X,P) :- convert_int_to_peano(X,P).
5169
5170 :- block infinite_peano(-).
5171 infinite_peano(inf).
5172 infinite_peano(0) :- fail.
5173 infinite_peano(s(X)) :- infinite_peano(X).
5174
5175 peel_s(0,0,0).
5176 peel_s(s(X),Res,SX) :- (var(X) -> Res=1, SX=X ; peel_s(X,RX,SX), Res is RX+1).
5177
5178 :- block cardinality3(-,?,?). % avoids instantiating set; to do: use kernel_cardinality instead
5179 % relevant, e.g., for "BK-ANT-N-2013" for SlotSolver_v7; but makes 'axm2/WD' fail for test 1448; TO DO: hopefully fixed with kernel_cardinality
5180 % :- block cardinality3(-,-,?).
5181 cardinality3(Set,SC,WF) :- var(Set),!,
5182 (SC=0 -> Set=[] ; SC=s(C),Set=[_|T],cardinality3(T,C,WF)).
5183 cardinality3([],0,_).
5184 ?cardinality3([_|T],s(C),WF) :- cardinality3(T,C,WF).
5185 cardinality3(avl_set(AVL),Res,WF) :- cardinality_peano_wf(avl_set(AVL),Res,WF).
5186 cardinality3(closure(P,T,B),Res,WF) :- cardinality_peano_wf(closure(P,T,B),Res,WF).
5187
5188
5189
5190
5191
5192
5193 :- assert_must_succeed(exhaustive_kernel_check(card_geq([int(2),int(4),int(1)],s(s(s(0)))))).
5194 :- assert_must_succeed((kernel_objects:card_geq(global_set('Name'),s(s(s(0)))))).
5195 :- assert_must_succeed((kernel_objects:card_geq([int(1),int(2)],s(s(0))))).
5196 :- assert_must_succeed((kernel_objects:card_geq([int(1),int(2)],s(0)))).
5197 :- assert_must_fail((kernel_objects:card_geq(global_set('Name'),s(s(s(s(0))))))).
5198 :- assert_must_fail((kernel_objects:card_geq([int(1),int(2)],s(s(s(0)))))).
5199
5200 card_geq(Set,Card) :- card_geq_wf(Set,Card,no_wf_available).
5201
5202 :- block card_geq_wf(-,-,?).
5203 card_geq_wf(Set,Card,WF) :-
5204 (nonvar(Set),is_custom_explicit_set(Set,card_geq)
5205 ? -> explicit_set_cardinality_wf(Set,CCard,WF), geq_int_peano(CCard,Card)
5206 ; card_geq2(Set,Card,WF) ).
5207 % should we call setup_ordered_list_skeleton(Card,Set,open)
5208 :- block card_geq2(?,-,?).
5209 card_geq2(_,C,_) :- C==0,!.
5210 card_geq2(S,C,_) :- S==[],!,C=0.
5211 card_geq2(S,s(C),WF) :- var(S),!,S=[_|T],card_geq2(T,C,WF).
5212 card_geq2([_|T],s(C),WF) :- card_geq2(T,C,WF).
5213 card_geq2(avl_set(A),s(C),WF) :- card_geq_wf(avl_set(A),s(C),WF).
5214 card_geq2(closure(P,T,B),s(C),WF) :- card_geq_wf(closure(P,T,B),s(C),WF).
5215 card_geq2(global_set(G),s(C),WF) :- card_geq_wf(global_set(G),s(C),WF).
5216
5217 :- block geq_int_peano(-,-).
5218 geq_int_peano(_,0).
5219 ?geq_int_peano(X,s(C)) :- geq_int_peano1(X,C).
5220 :- block geq_int_peano1(-,?).
5221 geq_int_peano1(inf,_) :- !.
5222 geq_int_peano1(inf_overflow,_) :- !.
5223 ?geq_int_peano1(X,C) :- X>0, X1 is X-1, geq_int_peano(X1,C).
5224
5225 :- block convert_int_to_peano(-,?).
5226 ?convert_int_to_peano(X,Y) :- convert_int_to_peano2(X,Y).
5227 convert_int_to_peano2(inf,_).
5228 convert_int_to_peano2(inf_overflow,_).
5229 convert_int_to_peano2(X,R) :- number(X),
5230 (X>100000
5231 -> print('*** Warning: converting large integer to peano: '),print(X),nl,
5232 (X>1000000000 -> print('*** treat like inf'),nl % no hope of ever finishing, do not instantiate just like inf
5233 ; convert_int_to_peano3(X,R))
5234 ? ; convert_int_to_peano3(X,R)
5235 ).
5236 convert_int_to_peano3(0,R) :- !, R=0.
5237 convert_int_to_peano3(X,s(P)) :-
5238 ? (X>0 -> X1 is X-1, convert_int_to_peano3(X1,P)
5239 ; X<0 -> add_error_and_fail(convert_int_to_peano,'Negative nr cannot be converted to peano: ',X)
5240 ).
5241
5242 % not used:
5243 %:- block convert_peano_to_int(-,?).
5244 %convert_peano_to_int(0,0).
5245 %convert_peano_to_int(s(P),X) :- convert_peano_to_int(P,X1), X is X1+1.
5246
5247 :- assert_must_succeed((kernel_objects:cardinality_greater_equal(Set,set(integer),int(X),integer,_WF), X=3,
5248 nonvar(Set),Set=[_|S2],nonvar(S2),S2=[_|S3],nonvar(S3),S3=[_|S4],var(S4), Set=[int(1),int(2),int(3)] )).
5249 :- assert_must_succeed((kernel_objects:cardinality_greater(Set,set(integer),int(X),integer,_WF), X=2,
5250 nonvar(Set),Set=[_|S2],nonvar(S2),S2=[_|S3],nonvar(S3),S3=[_|S4],var(S4), Set=[int(1),int(2),int(3)] )).
5251 /* special predicates called for e.g. card(Set)>X */
5252 cardinality_greater(Set,TypeSet,int(X),_,WF) :-
5253 kernel_objects:max_cardinality(TypeSet,MaxCard),
5254 (number(MaxCard) -> less_than(int(X),int(MaxCard)) ; true),
5255 ? card_greater2(Set,X,WF).
5256 :- block card_greater2(?,-,?).
5257 ?card_greater2(Set,X,WF) :- X1 is X+1, card_greater_equal2(Set,X1,WF).
5258
5259 cardinality_greater_equal(Set,TypeSet,int(X),_,WF) :-
5260 kernel_objects:max_cardinality(TypeSet,MaxCard),
5261 (number(MaxCard) -> less_than_equal(int(X),int(MaxCard)) ; true),
5262 ? card_greater_equal2(Set,X,WF).
5263 :- block card_greater_equal2(?,-,?).
5264 card_greater_equal2(Set,X,WF) :-
5265 (X<1 -> true % potential WD issue, hence this predicates should only be called when no wd issue
5266 ; X=1 -> not_empty_set_wf(Set,WF) % ditto: Set could be infinite
5267 ; var(Set) -> setup_ordered_list_skeleton(X,Set,open,WF)
5268 ; convert_int_to_peano(X,Peano),
5269 ? card_geq_wf(Set,Peano,WF)).
5270
5271
5272
5273 %is_cartesian_pair_or_times(P,X,Y) :- is_cartesian_pair(P,X,Y).
5274 %is_cartesian_pair_or_times(int(Z),int(X),int(Y)) :- times(int(X),int(Y),int(Z)).
5275
5276 is_cartesian_pair_wf((X,Y),XType,YType,WF) :-
5277 ? check_element_of_wf(X,XType,WF), check_element_of_wf(Y,YType,WF).
5278
5279 :- assert_must_succeed(exhaustive_kernel_check_wf(kernel_objects:not_is_cartesian_pair((int(1),int(1)),
5280 [int(1),int(2)],[int(2),int(3)],WF),WF)).
5281 :- assert_must_succeed(exhaustive_kernel_check_wf(kernel_objects:not_is_cartesian_pair((int(3),int(2)),
5282 [int(1),int(2)],[int(2),int(3)],WF),WF)).
5283 :- assert_must_succeed((kernel_objects:not_is_cartesian_pair((int(1),int(1)),
5284 [int(1),int(2)],[int(2),int(3)],_WF))).
5285 :- assert_must_succeed((kernel_objects:not_is_cartesian_pair((int(3),int(1)),
5286 [int(1),int(2)],[int(2),int(3)],_WF))).
5287 :- assert_must_fail((kernel_objects:not_is_cartesian_pair((int(1),int(3)),
5288 [int(1),int(2)],[int(2),int(3)],_WF))).
5289 :- assert_must_succeed((kernel_objects:not_is_cartesian_pair((X,int(3)),
5290 [int(1),int(2)],[int(2),int(3)],_WF),X=int(4))).
5291
5292
5293 not_is_cartesian_pair((X,Y),XType,YType,WF) :-
5294 not_is_cartesian_pair0(X,Y,XType,YType,WF).
5295
5296 :- block not_is_cartesian_pair0(-,-,?,?,?).
5297 not_is_cartesian_pair0(X,Y,XType,YType,WF) :-
5298 (nonvar(X) -> not_is_cartesian_pair1(X,Y,XType,YType,WF)
5299 ; not_is_cartesian_pair1(Y,X,YType,XType,WF)).
5300
5301 not_is_cartesian_pair1(X,Y,XType,YType,WF) :-
5302 membership_test_wf(XType,X,MemResX,WF),
5303 (var(MemResX) -> membership_test_wf(YType,Y,MemResY,WF) ; true),
5304 not_is_cartesian_pair3(MemResX,X,XType,MemResY,Y,YType,WF).
5305
5306 :- block not_is_cartesian_pair3(-,?,?, -,?,?, ?).
5307 not_is_cartesian_pair3(MemResX,X,XType, MemResY,Y,YType, WF) :-
5308 (MemResX==pred_false -> true
5309 ; MemResY==pred_false -> true
5310 ; MemResX==pred_true -> not_element_of_wf(Y,YType,WF)
5311 ; not_element_of_wf(X,XType,WF)
5312 ).
5313
5314
5315
5316 /***************************/
5317 /* power_set(Set,TypeSet) */
5318 /* Set : POW(TypeSet) */
5319 /***************************/
5320
5321 :- assert_must_succeed(exhaustive_kernel_check(power_set([int(2),int(4)],[[int(2)],
5322 [int(4)],[],[int(4),int(2)]]))).
5323 :- assert_must_succeed(power_set([int(1)],[[int(1)],[]])).
5324 :- assert_must_succeed((power_set([int(1),int(2)],R),
5325 equal_object(R,[[],[int(1)],[int(2)],[int(1),int(2)]]))).
5326 :- assert_must_succeed(power_set([],[[]])).
5327
5328 % not used anymore, except for empty set and singleton sets (see do_not_keep_symbolic_unary)
5329 :- block power_set(-,?).
5330 power_set([],Res) :- !,equal_object_optimized([[]],Res,power_set).
5331 power_set(Set1,Res) :- custom_explicit_sets:singleton_set(Set1,El),!,
5332 equal_object_optimized([[],[El]],Res,power_set).
5333 power_set(S,Res) :-
5334 cardinality_peano_wf(S,Card,no_wf_available),
5335 when(ground(Card), /* when all elements are known */
5336 (expand_custom_set_to_list_wf(S,SE,Done,power_set,no_wf_available),
5337 when(nonvar(Done),
5338 (gen_all_subsets(SE,PowerS),
5339 equal_object_optimized(PowerS,Res,power_set) )
5340 )
5341 )).
5342
5343 :- assert_must_succeed((kernel_objects:gen_all_subsets([X],R), R== [[],[X]])).
5344 :- assert_must_succeed((kernel_objects:gen_all_subsets([X,Y],R), R== [[],[Y],[X],[Y,X]])).
5345 % we do not use findall to keep variable links, see test 2103
5346 gen_all_subsets(List,AllSubLists) :- gen_all_subsets(List,[[]],AllSubLists).
5347 add_el(H,T,[H|T]).
5348 gen_all_subsets([],Acc,Acc).
5349 gen_all_subsets([H|T],Acc,Res) :- gen_all_subsets(T,Acc,R1),
5350 append(R1,R2,Res), % DCG would be better; but power_set is not really used anymore for longer lists
5351 maplist(add_el(H),Acc,Acc2), gen_all_subsets(T,Acc2,R2).
5352
5353
5354 :- assert_must_succeed(exhaustive_kernel_check(non_empty_power_set([int(2),int(4)],[[int(2)],
5355 [int(4)],[int(4),int(2)]]))).
5356 :- assert_must_succeed(non_empty_power_set([int(1)],[[int(1)]])).
5357 :- assert_must_succeed((non_empty_power_set([int(1),int(2)],R),
5358 equal_object(R,[[int(1)],[int(2)],[int(1),int(2)]]))).
5359 :- assert_must_succeed(non_empty_power_set([],[])).
5360
5361 :- block non_empty_power_set(-,?).
5362 non_empty_power_set([],Res) :- !,equal_object_optimized([],Res,non_empty_power_set).
5363 non_empty_power_set(Set1,Res) :- custom_explicit_sets:singleton_set(Set1,El),!,
5364 equal_object_optimized([[El]],Res,non_empty_power_set).
5365 non_empty_power_set(S,Res) :-
5366 cardinality_peano_wf(S,Card,no_wf_available),
5367 when(ground(Card), /* when all elements are known */
5368 (expand_custom_set_to_list_wf(S,SE,Done,non_empty_power_set,no_wf_available),
5369 when(nonvar(Done),
5370 (gen_all_subsets(SE,PowerS),
5371 delete(PowerS,[],NE_PowerS),
5372 equal_object_optimized(NE_PowerS,Res,non_empty_power_set) )
5373 )
5374 )).
5375
5376
5377
5378 /* ------- */
5379 /* BOOLEAN */
5380 /* ------- */
5381
5382 % following predicates are not used:
5383 %is_boolean(pred_true /* bool_true */).
5384 %is_boolean(pred_false /* bool_false */).
5385 %is_not_boolean(X) :- dif(X,pred_true /* bool_true */), dif(X,pred_false /* bool_false */).
5386
5387 /* ------- */
5388 /* NUMBERS */
5389 /* ------- */
5390
5391
5392 is_integer(int(X),_WF) :- when(ground(X),integer(X)).
5393 :- block is_not_integer(-).
5394 is_not_integer(X) :- X \= int(_), % will be called for x /: INTEGER; should always fail.
5395 add_internal_error('Wrong type argument: ',is_not_integer(X)),fail.
5396
5397 is_natural(int(X),_WF) :- clpfd_geq2(X,0,Posted), (Posted==true -> true ; number_geq(X,0)).
5398 is_natural1(int(X),_WF) :- clpfd_geq2(X,1,Posted), (Posted==true -> true ; number_geq(X,1)).
5399 :- block number_geq(-,?).
5400 number_geq(X,N) :- X>=N.
5401 :- block number_leq(-,?).
5402 number_leq(X,N) :- X=<N.
5403
5404 :- assert_must_succeed(is_implementable_int(int(0),_WF)).
5405 :- assert_must_fail(is_not_implementable_int(int(0))).
5406
5407
5408 is_implementable_int(int(X),WF) :- element_of_global_integer_set_wf('INT',X,WF,unkmown).
5409 is_implementable_nat(int(X),WF) :- element_of_global_integer_set_wf('NAT',X,WF,unknown).
5410 is_implementable_nat1(int(X),WF) :- element_of_global_integer_set_wf('NAT1',X,WF,unknown).
5411 is_not_implementable_int(X) :- not_element_of_global_set(X,'INT').
5412 is_not_implementable_nat(X) :- not_element_of_global_set(X,'NAT').
5413 is_not_implementable_nat1(X) :- not_element_of_global_set(X,'NAT1').
5414
5415 is_not_natural(int(X)) :- clpfd_geq2(-1,X,Posted), (Posted=true -> true ; number_leq(X,-1)).
5416 is_not_natural1(int(X)) :- clpfd_geq2(0,X,Posted), (Posted==true -> true ; number_leq(X,0)).
5417
5418 :- assert_must_succeed(exhaustive_kernel_check(less_than(int(2),int(3)))).
5419 :- assert_must_succeed(( safe_less_than(A,B),A=3,B=5 )).
5420 :- assert_must_succeed(( safe_less_than(A,B),B=5,A=3 )).
5421 :- assert_must_fail(( safe_less_than(A,B),A=5,B=3 )).
5422 :- assert_must_fail(( safe_less_than(A,B),B=3,A=5 )).
5423 :- assert_must_fail(( safe_less_than(A,B),A=5,B=5 )).
5424 :- assert_must_fail(( safe_less_than(A,B),B=5,A=5 )).
5425
5426 less_than(int(X),int(Y)) :-
5427 (number(X),number(Y) -> X < Y
5428 ; clpfd_lt(X,Y,Posted),
5429 (Posted=true -> true ; safe_less_than(X,Y))).
5430 less_than_direct(X,Y) :-
5431 (number(X),number(Y) -> X < Y
5432 ? ; clpfd_lt(X,Y,Posted),
5433 (Posted=true -> true ; safe_less_than(X,Y))).
5434 :- block safe_less_than(-,?), safe_less_than(?,-).
5435 safe_less_than(X,Y) :-
5436 (number(X),number(Y) -> X<Y
5437 ; add_internal_error('Arguments not numbers: ',safe_less_than(X,Y))).
5438
5439 :- assert_must_succeed(exhaustive_kernel_check(less_than_equal(int(33),int(33)))).
5440 less_than_equal(int(X),int(Y)) :-
5441 (number(X),number(Y) -> X =< Y
5442 ; clpfd_leq(X,Y,Posted),
5443 (Posted=true -> true ; safe_less_than_equal(less_than_equal,X,Y))).
5444 less_than_equal_direct(X,Y) :-
5445 (number(X),number(Y) -> X =< Y
5446 ? ; clpfd_leq(X,Y,Posted),
5447 (Posted=true -> true ; safe_less_than_equal(less_than_equal_direct,X,Y))).
5448
5449 safe_less_than_equal(X,Y) :-
5450 safe_less_than_equal(safe_less_than_equal,X,Y).
5451 :- block safe_less_than_equal(?,-,?), safe_less_than_equal(?,?,-).
5452 safe_less_than_equal(PP,X,Y) :-
5453 (number(X),number(Y) -> X=<Y
5454 ; add_internal_error('Arguments not numbers: ',safe_less_than_equal(PP,X,Y))).
5455
5456 :- assert_must_succeed(exhaustive_kernel_check(greater_than(int(2),int(1)))).
5457 :- assert_must_succeed(exhaustive_kernel_fail_check(greater_than(int(2),int(2)))).
5458 greater_than(int(X),int(Y)) :- less_than_direct(Y,X).
5459 :- assert_must_succeed(exhaustive_kernel_check(greater_than(int(2),int(1)))).
5460 :- assert_must_succeed(exhaustive_kernel_check(greater_than_equal(int(2),int(2)))).
5461 :- assert_must_succeed(exhaustive_kernel_fail_check(greater_than_equal(int(1),int(2)))).
5462 ?greater_than_equal(int(X),int(Y)) :- less_than_equal_direct(Y,X).
5463
5464
5465
5466
5467
5468 :- assert_must_succeed(exhaustive_kernel_check([commutative],int_plus(int(2),int(3),int(5)))).
5469 :- assert_must_succeed(exhaustive_kernel_fail_check([commutative],int_plus(int(2),int(3),int(6)))).
5470
5471 :- assert_must_succeed(int_plus(int(1),int(2),int(3))).
5472 :- assert_must_succeed(( int_plus2(A,B,C),A=3,B=2,C==5 )).
5473 :- assert_must_succeed(( int_plus2(A,B,C),A=3,C=5,B==2 )).
5474 :- assert_must_succeed(( int_plus2(A,B,C),B=2,A=3,C==5 )).
5475 :- assert_must_succeed(( int_plus2(A,B,C),B=2,C=5,A==3 )).
5476 :- assert_must_succeed(( int_plus2(A,B,C),C=5,A=3,B==2 )).
5477 :- assert_must_succeed(( int_plus2(A,B,C),C=5,B=2,A==3 )).
5478 :- assert_must_succeed(( int_plus2(A,B,C),A=0,B==C )).
5479 :- assert_must_succeed(( int_plus2(A,B,C),B=0,A==C )).
5480
5481 int_plus(int(X),int(Y),int(Plus)) :-
5482 ? (two_vars_or_more(X,Y,Plus)
5483 ? -> clpfd_eq(Plus,X+Y) % can have performance problems
5484 ; true % otherwise we can compute the value directly below; we could skip the block declaration
5485 ),
5486 ? int_plus2(X,Y,Plus).
5487 two_vars_or_more(X,Y,Z) :- var(X),!, (var(Y) ; var(Z)).
5488 two_vars_or_more(_X,Y,Z) :- var(Y) , var(Z).
5489
5490 :- block int_plus2(-,-,-).
5491 int_plus2(X,Y,Plus) :-
5492 ? ( ground(X) -> int_plus3(X,Y,Plus)
5493 ; ground(Y) -> int_plus3(Y,X,Plus)
5494 ; int_minus3(Plus,X,Y)).
5495
5496 % int_plus3/3: the first argument must be ground when called
5497 int_plus3(0,Y,Plus) :- !, Y=Plus. % not inferred by CLP(FD): Z #= Y+X, X=0. does not infer Y==Z
5498 int_plus3(X,Y,Plus) :- % integer_dif(Y,Plus), % this generates overflows for test 1353, 1014
5499 ? int_plus4(X,Y,Plus).
5500
5501 % int_plus4/3: the first argument must be ground when called
5502 :- block int_plus4(?,-,-).
5503 int_plus4(X,Y,Plus) :-
5504 ( var(Plus) -> Plus is X+Y
5505 ; Y is Plus-X).
5506
5507 :- assert_must_succeed(exhaustive_kernel_check(int_minus(int(2),int(3),int(-1)))).
5508 :- assert_must_succeed(exhaustive_kernel_fail_check(int_minus(int(2),int(3),int(1)))).
5509 :- assert_must_succeed(int_minus(int(3),int(1),int(2))).
5510 :- assert_must_succeed(( int_minus2(A,B,C),A=3,B=2,C==1 )).
5511 :- assert_must_succeed(( int_minus2(A,B,C),A=3,C=1,B==2 )).
5512 :- assert_must_succeed(( int_minus2(A,B,C),B=2,A=3,C==1 )).
5513 :- assert_must_succeed(( int_minus2(A,B,C),B=2,C=1,A==3 )).
5514 :- assert_must_succeed(( int_minus2(A,B,C),C=1,A=3,B==2 )).
5515 :- assert_must_succeed(( int_minus2(A,B,C),C=1,B=2,A==3 )).
5516 :- assert_must_succeed(( int_minus2(A,B,C),B=0,A==C )).
5517 :- assert_must_succeed(( int_minus2(A,B,C),B=0,C=5,A==5 )).
5518 :- assert_must_succeed(( int_minus2(A,B,5),B=0,A==5 )).
5519
5520 int_minus(int(X),int(Y),int(Minus)) :-
5521 int_minus2(X,Y,Minus),
5522 ? (two_vars_or_more(X,Y,Minus) -> clpfd_eq(Minus,X-Y) % can have performance problems.
5523 % we could also set Minus to 0 if X==Y; this is done in CHR (chr_integer_inequality)
5524 ; true). % we can compute the value directly anyway
5525 :- block int_minus2(-,-,-).
5526 int_minus2(X,Y,Minus) :-
5527 ( ground(Y) ->
5528 ( Y=0 -> X=Minus
5529 ; Y2 is -Y, int_plus3(Y2,X,Minus))
5530 ; ground(X) ->
5531 int_minus3(X,Y,Minus)
5532 ; int_plus3(Minus,Y,X) % will infer that Y=X if Minus=0
5533 ).
5534
5535 % int_minus3/3: the first argument must be ground when called
5536 :- block int_minus3(?,-,-).
5537 int_minus3(X,Y,Minus) :-
5538 ( var(Minus) -> Minus is X-Y
5539 ; Y is X-Minus).
5540
5541 :- assert_must_succeed(exhaustive_kernel_check(division(int(2),int(3),int(0),unknown,_WF))).
5542 :- assert_must_succeed(exhaustive_kernel_check(division(int(7),int(2),int(3),unknown,_WF))).
5543 :- assert_must_succeed(exhaustive_kernel_check(division(int(8),int(2),int(4),unknown,_WF))).
5544 :- assert_must_succeed(exhaustive_kernel_check(division(int(9),int(2),int(4),unknown,_WF))).
5545 :- assert_must_succeed(exhaustive_kernel_check(division(int(2),int(-1),int(-2),unknown,_WF))).
5546 :- assert_must_succeed(exhaustive_kernel_check(division(int(9),int(-2),int(-4),unknown,_WF))).
5547 :- assert_must_succeed(exhaustive_kernel_check(division(int(-9),int(-3),int(3),unknown,_WF))).
5548 :- assert_must_succeed(exhaustive_kernel_check(division(int(-1),int(4),int(0),unknown,_WF))).
5549 :- assert_must_succeed((platform_is_64_bit
5550 -> exhaustive_kernel_check(division(int(4294967296),int(2),int(2147483648),unknown,_WF))
5551 ; exhaustive_kernel_check(division(int(134217728),int(2),int(67108864),unknown,_WF)))).
5552 :- assert_must_succeed((platform_is_64_bit
5553 -> exhaustive_kernel_check(division(int(4294967296),int(2147483648),int(2),unknown,_WF))
5554 ; exhaustive_kernel_check(division(int(134217728),int(67108864),int(2),unknown,_WF)))).
5555 :- assert_must_succeed(exhaustive_kernel_fail_check(division(int(2),int(3),int(1),unknown,_WF))).
5556 :- assert_must_succeed(( division3(A,B,C,unknown,_),A=15,B=4,C==3 )).
5557 :- assert_must_succeed(( division3(A,B,C,unknown,_),B=4,A=15,C==3 )).
5558
5559 division(int(X),int(Y),int(XDY),Span,WF) :- var(Y), (var(X) ; var(XDY)),
5560 preferences:preference(use_clpfd_solver,true),!,
5561 (preferences:preference(disprover_mode,true)
5562 -> clpfd_eq_div(XDY,X,Y) /* we can assume well-definedness */
5563 ; clpfd_eq_guarded_div(XDY,X,Y),
5564 % TO DO: we could set up a choice point just before enumeration of infinite types for Y=0 & Y/=0;
5565 % same for modulo
5566 check_nonzero(X,Y,XDY,Span,WF)
5567 ).
5568 division(int(X),int(Y),int(XDY),Span,WF) :-
5569 %% clpfd_eq_expr(XDY,X/Y), % can have performance problems; could hide division by 0 !
5570 division3(X,Y,XDY,Span,WF).
5571
5572 :- block check_nonzero(?,-,?,?,?).
5573 check_nonzero(X,Y,XDY,Span,WF) :-
5574 (Y=0 -> add_wd_error_set_result('division by zero','/'(X,Y),XDY,0,Span,WF)
5575 ; true).
5576
5577 :- block division3(?,-,?,?,?).
5578 division3(X,Y,XDY,Span,WF) :-
5579 ( Y==0 -> add_wd_error_set_result('division by zero','/'(X,Y),XDY,0,Span,WF)
5580 ; nonvar(X) -> XDY is X // Y
5581 ; Y == 1 -> X=XDY
5582 ; Y == -1,nonvar(XDY) -> X is -XDY
5583 ; clpfd_eq_div(XDY,X,Y)). % we could setup constraint before Y is known; could hide division by 0 ?
5584
5585
5586
5587 :- assert_must_succeed(exhaustive_kernel_check(floored_division(int(2),int(3),int(0),unknown,_WF))).
5588 :- assert_must_succeed(exhaustive_kernel_check(floored_division(int(7),int(2),int(3),unknown,_WF))).
5589 :- assert_must_succeed(exhaustive_kernel_check(floored_division(int(-1),int(4),int(-1),unknown,_WF))).
5590 :- assert_must_succeed(exhaustive_kernel_check(floored_division(int(-9),int(-3),int(3),unknown,_WF))).
5591 floored_division(int(X),int(Y),int(XDY),Span,WF) :- var(Y), (var(X) ; var(XDY)),
5592 preferences:preference(use_clpfd_solver,true),!,
5593 (preferences:preference(disprover_mode,true)
5594 -> clpfd_eq_fdiv(XDY,X,Y) /* we can assume well-definedness */
5595 ; clpfd_eq_guarded_fdiv(XDY,X,Y),
5596 check_nonzero(X,Y,XDY,Span,WF)
5597 ).
5598 floored_division(int(X),int(Y),int(XDY),Span,WF) :-
5599 %% clpfd_eq_expr(XDY,X/Y), % can have performance problems; could hide division by 0 !
5600 floored_division3(X,Y,XDY,Span,WF).
5601 :- block floored_division3(?,-,?,?,?).
5602 floored_division3(X,Y,XDY,Span,WF) :-
5603 ( Y==0 -> add_wd_error_set_result('division by zero','/'(X,Y),XDY,0,Span,WF)
5604 ; nonvar(X) -> XDY is X div Y
5605 ; Y == 1 -> X=XDY
5606 ; (Y == -1,nonvar(XDY)) -> X is -XDY
5607 ; clpfd_eq_guarded_fdiv(XDY,X,Y)). % we could setup constraint before Y is known; could hide division by 0 ?
5608
5609 :- assert_must_succeed(exhaustive_kernel_check_wfdet(modulo(int(2),int(3),int(2),unknown,WF),WF)).
5610 :- assert_must_succeed(exhaustive_kernel_check_wfdet(modulo(int(7),int(2),int(1),unknown,WF),WF)).
5611 :- assert_must_succeed(exhaustive_kernel_check_wfdet(modulo(int(8),int(2),int(0),unknown,WF),WF)).
5612 :- assert_must_succeed(exhaustive_kernel_check_wfdet(modulo(int(9),int(2),int(1),unknown,WF),WF)).
5613 :- assert_must_succeed((platform_is_64_bit
5614 -> exhaustive_kernel_check_wfdet(modulo(int(4294967296),int(2147483648),int(0),unknown,WF),WF)
5615 ; exhaustive_kernel_check_wfdet(modulo(int(134217728),int(67108864),int(0),unknown,WF),WF))).
5616 :- assert_must_succeed((platform_is_64_bit
5617 -> exhaustive_kernel_check_wfdet(modulo(int(4294967299),int(2147483648),int(3),unknown,WF),WF)
5618 ; exhaustive_kernel_check_wfdet(modulo(int(134217731),int(67108864),int(3),unknown,WF),WF))).
5619 :- assert_must_succeed(( modulo2(A,B,C,unknown,_),A=7,B=5,C==2 )).
5620 :- assert_must_fail(( modulo2(A,B,C,unknown,_),A=7,B=5,C==3 )).
5621
5622 modulo(int(X),int(Y),int(Modulo),Span,WF) :-
5623 %% clpfd_eq(Modulo,X mod Y), % can have performance problems; could hide division by 0 !
5624 modulo2(X,Y,Modulo,Span,WF),
5625 % assert that Modulo<Y, Modulo>=0
5626 (nonvar(X),nonvar(Y) -> true % we already have computed Modulo using modulo2
5627 ; nonvar(Modulo), Modulo < 0 -> true % we will generate well-definedness error; see comment next line
5628 ; number(Y),Y =< 0 -> true % in this case we will generate a well-definedness error; it would be more efficient from a constraint solving perspective to assume that there are no well-definedness errors and remove this case !!
5629 ; clpfd_modulo_prop(X,Y,Modulo,WF)
5630 ).
5631 :- use_module(specfile,[z_or_tla_minor_mode/0]).
5632 :- block modulo2(-,?,?,?,?), modulo2(?,-,?,?,?).
5633 modulo2(X,Y,Modulo,Span,WF) :-
5634 ( Y>0 -> (X<0 -> (z_or_tla_minor_mode -> Modulo is X mod Y
5635 ; add_wd_error_set_result('mod not defined for negative numbers in B:',mod(X,Y),Modulo,0,Span,WF))
5636 ; Modulo is X mod Y)
5637 ; Y==0 -> add_wd_error_set_result('mod by zero:',mod(X,Y),Modulo,0,Span,WF)
5638 ; Y<0 -> add_wd_error_set_result('mod not defined for negative numbers:',mod(X,Y),Modulo,0,Span,WF)). % there seems to be a definition in Z ? at least for Z Live ?
5639
5640 % propagate information about Modulo result if part of the information known
5641 clpfd_modulo_prop(X,Y,Modulo,WF) :- %preferences:preference(use_clpfd_solver,true),!,
5642 % in CLP(FD) this is sufficient; for non-CLPFD mode it is better to call in_nat_range to restrict enumeration
5643 less_than_direct(Modulo,Y),
5644 less_than_equal_direct(0,Modulo), % 0 <= Modulo < Y -> by transitivity this forces Y>0 and we no longer detect wd-errors
5645 %less_than_equal_direct(Modulo,X). % by transitivity this imposes X >= 0 and we will never find WD problems with negative X
5646 (preference(use_clpfd_solver,true)
5647 -> get_wait_flag0(WF,WF0),
5648 % avoid propagating complex too early, e.g., for x>2 & x:3..10 & x mod 3 = 1 & x mod 3 = 2 in test 2126
5649 % also see test 1959 which was initially failing due to adding WF0 delay
5650 clpfd_modulo_prop2(X,Y,Modulo,WF0)
5651 ; true).
5652
5653 :- block clpfd_modulo_prop2(?,?,?,-).
5654 clpfd_modulo_prop2(X,Y,Modulo,_WF0) :-
5655 number(Modulo), % this test is required for test 1009, 417 : TO DO : investigate cause
5656 var(X), % or should this be var(X) ; var(Y) ??
5657 fd_min(Y,MinY), number(MinY), MinY>0,
5658 fd_min(X,MinX), number(MinX), MinX>=0, % modulo is well-defined
5659 !,
5660 clpfd_interface:clpfd_leq_expr(Modulo,X),
5661 clpfd_interface:try_post_constraint(Modulo #= X mod Y).
5662 %clpfd_modulo_prop2(X,Y,Modulo,_WF0) :- number(Y),!,
5663 % % also makes tests 1009, 417 fail, but would enable solving x mod 256 = 0 & x>0
5664 % clpfd_interface:try_post_constraint(X#>=0 #=> Modulo #= X mod Y). % will also assert X#>Modulo
5665 clpfd_modulo_prop2(X,_Y,_Modulo,_WF0) :- X==0,!. % no need to propagate, we already assert 0 <= Modulo above
5666 clpfd_modulo_prop2(X,_Y,Modulo,_WF0) :-
5667 clpfd_interface:try_post_constraint(X#>=0 #=> X#>=Modulo). % this would be faster (e.g., {y|y:100000..200000 & y mod 2 = 0}), but would not catch some WD errors: clpfd_interface:try_post_constraint(X#>=Modulo).
5668 % we could reify: Y>0 => Modulo <Y ? Is it worth it ?
5669 % we could also use the CLP(FD) modulo operator X in 3..100, 1 #= X mod 20 infers X in 21..81
5670 % try_post_constraint((X#>=0 #/\ Y#>0) #=> Modulo #= X mod Y)
5671 % what is still missing is that if Y < Modulo => X=Y (CLP(FD) does this X in 0..100 , Y in 2..20 , X #= Y mod 30.)
5672 /* clpfd_modulo_prop(X,Y,Modulo,WF) :- clpfd_modulo_noclp(X,Y,Modulo,WF).
5673 :- block clpfd_modulo_noclp(-,-,-,?).
5674 clpfd_modulo_noclp(X,Y,Modulo,WF) :- print(mod(X,Y,Modulo,WF)),nl,
5675 var(X),var(Modulo),number(Y),!,
5676 Y1 is Y-1,
5677 in_nat_range_wf(int(Modulo),int(0),int(Y1),WF). % problem: could enumerate lambda return variables !!
5678 clpfd_modulo_noclp(_X,_Y,_Modulo,_WF).
5679 */
5680
5681
5682 :- assert_must_succeed(exhaustive_kernel_check(unary_minus_wf(int(2),int(-2),_WF))).
5683 :- assert_must_succeed(exhaustive_kernel_fail_check(unary_minus_wf(int(2),int(2),_WF))).
5684 :- assert_must_succeed(( unary_minus2(A,B),A=7,B== -7 )).
5685 :- assert_must_succeed(( unary_minus2(A,B),A= -7,B==7 )).
5686 :- assert_must_succeed(( unary_minus2(B,A),A=7,B== -7 )).
5687 :- assert_must_succeed(( unary_minus2(B,A),A= -7,B==7 )).
5688 :- assert_must_fail(( unary_minus2(B,A),A= -7,B=6 )).
5689 :- assert_must_fail(( unary_minus2(A,B),A= -7,B=6 )).
5690
5691 unary_minus_wf(int(X),int(MX),_WF) :-
5692 unary_minus2(X,MX),
5693 (var(X),var(MX) -> clpfd_eq(MX,0 - X) % can have performance problems
5694 ; true % we can compute the value without CLPFD
5695 ).
5696 :- block unary_minus2(-,-).
5697 unary_minus2(X,MX) :-
5698 ( ground(X) -> MX is -X
5699 ; X is -MX).
5700
5701 :- assert_must_succeed(first_of_pair((int(1),int(2)),int(1))).
5702 :- assert_must_succeed(second_of_pair((int(1),int(2)),int(2))).
5703
5704 first_of_pair((A,_B),R) :- equal_object(R,A,first_of_pair).
5705 second_of_pair((_A,B),R) :- equal_object(R,B,second_of_pair).
5706
5707
5708 :- assert_must_succeed(exhaustive_kernel_check(cartesian_product([int(2),int(4)],[int(3),int(1)],
5709 [(int(2),int(1)),(int(2),int(3)),(int(4),int(3)),(int(4),int(1))]))).
5710 :- assert_must_succeed(exhaustive_kernel_check(cartesian_product([],[int(3),int(1)],[]))).
5711 :- assert_must_succeed(exhaustive_kernel_check(cartesian_product([int(3)],[],[]))).
5712 :- assert_must_succeed(exhaustive_kernel_fail_check(cartesian_product([int(3)],[int(2)],[]))).
5713 :- assert_must_succeed((cartesian_product(global_set('NAT'),[int(2)],_Res))).
5714 :- assert_must_succeed((cartesian_product([int(1)],[int(2)],Res),
5715 equal_object(Res,[(int(1),int(2))]))).
5716 :- assert_must_succeed((cartesian_product([int(1)],[int(2)],[(int(1),int(2))]))).
5717 :- assert_must_succeed((cartesian_product([],[int(1),int(2)],Res),
5718 equal_object(Res,[]))).
5719 :- assert_must_succeed((cartesian_product([int(1),int(2)],[],Res),
5720 equal_object(Res,[]))).
5721 :- assert_must_succeed((cartesian_product([int(1),int(2)],[int(2),int(3)],Res),
5722 equal_object(Res,[(int(1),int(2)),(int(1),int(3)),(int(2),int(2)),(int(2),int(3))]))).
5723 :- assert_must_succeed((cartesian_product([int(1)|T],[int(2)|T2],Res),
5724 T = [int(2)], T2 = [int(3)],
5725 equal_object(Res,[(int(1),int(2)),(int(1),int(3)),(int(2),int(2)),(int(2),int(3))]))).
5726 :- assert_must_fail((cartesian_product([int(1)],[int(2),int(3)],Res),(Res=[_];
5727 equal_object(Res,[_,_,_|_])))).
5728
5729
5730 cartesian_product(Set1,Set2,Res) :- cartesian_product_wf(Set1,Set2,Res,no_wf_available).
5731
5732 :- block cartesian_product_wf(-,?,?,?), cartesian_product_wf(?,-,?,?).
5733 cartesian_product_wf(Set1,Set2,Res,WF) :-
5734 expand_custom_set_to_list_wf(Set1,ESet1,_,cartesian_product1,WF),
5735 (ESet1==[] -> empty_set_wf(Res,WF)
5736 ; expand_custom_set_to_list_wf(Set2,ESet2,_,cartesian_product2,WF),
5737 (var(Res)
5738 -> cartesian_product2(ESet1,ESet2,CRes,WF),
5739 ? equal_object_optimized_wf(CRes,Res,cart_product,WF)
5740 ; cartesian_product2(ESet1,ESet2,Res,WF))
5741 ).
5742
5743 :- block cartesian_product2(-,?,?,?).
5744 cartesian_product2([],_,Res,WF) :- empty_set_wf(Res,WF).
5745 cartesian_product2([H|T],Set2,Res,WF) :-
5746 ? cartesian_el_product(Set2,H,Res,InnerRes,WF),
5747 cartesian_product2(T,Set2,InnerRes,WF).
5748
5749 :- block cartesian_el_product(-,?,?,?,?).
5750 ?cartesian_el_product([],_El,Res,InnerRes,WF) :- equal_object_optimized_wf(Res,InnerRes,cartesian_el_product_1,WF).
5751 cartesian_el_product([H|T],El,ResSoFar,InnerRes,WF) :-
5752 ? equal_object_wf(ResSoFar,[(El,H)|NewResSoFar],cartesian_el_product_2,WF),
5753 ? cartesian_el_product(T,El,NewResSoFar,InnerRes,WF).
5754
5755
5756
5757 :- assert_must_succeed(exhaustive_kernel_check(in_nat_range(int(2),int(2),int(3)))).
5758 :- assert_must_succeed(exhaustive_kernel_check(in_nat_range_wf(int(2),int(2),int(3),_WF))).
5759 :- assert_must_succeed(exhaustive_kernel_fail_check(in_nat_range_wf(int(2),int(3),int(2),_WF))).
5760 :- assert_must_succeed((in_nat_range_wf(X,int(11),int(12),WF),
5761 kernel_waitflags:ground_wait_flags(WF), X==int(12) )).
5762 :- assert_must_fail((in_nat_range_wf(X,int(11),int(12),_WF), X=int(10) )).
5763 :- assert_must_fail((in_nat_range_wf(X,int(11),int(12),_WF), X=int(13) )).
5764 :- assert_must_succeed((in_nat_range_wf(X,int(11),int(12),_WF), X=int(11) )).
5765 :- assert_must_fail((in_nat_range_wf(X,int(11),int(10),_WF), X=int(11) )).
5766 :- assert_must_fail((in_nat_range_wf(X,int(11),int(10),_WF), X=int(10) )).
5767 :- assert_must_fail((in_nat_range_wf(X,int(11),int(10),_WF), X=int(12) )).
5768
5769 in_nat_range(int(X),int(Y),int(Z)) :- % does not enumerate, in contrast to in_nat_range_wf
5770 clpfd_inrange(X,Y,Z,Posted), % better to call inrange rather than leq twice, avoids unecessary propagation
5771 (Posted==true -> true
5772 ; safe_less_than_equal(in_nat_range,Y,X),
5773 safe_less_than_equal(in_nat_range,X,Z)
5774 ).
5775 in_nat_range_wf(int(X),int(Y),int(Z),WF) :-
5776 ? clpfd_inrange(X,Y,Z,Posted), % better to call inrange rather than leq twice, avoids unecessary propagation
5777 (Posted==true ->
5778 % if the constraint was posted: we do not need to add safe_less_than_equal,...:
5779 % if overflow happes whole computation will fail anyway
5780 block_add_fd_variable_for_labeling(X,Y,Z,WF) % do we really need to do this ? maybe add just before enum finished ?, see also test 328
5781 ; safe_less_than_equal(in_nat_range_wf,Y,X),
5782 safe_less_than_equal(in_nat_range_wf,X,Z),
5783 (ground(X) -> true
5784 ; get_int_domain(X,Y,Z,RL,RU),get_nat_range_prio(X,RL,RU,WF,LWF),
5785 call_enumerate_int(X,RL,RU,LWF))
5786 ).
5787
5788 :- block block_add_fd_variable_for_labeling(-,-,?,?), block_add_fd_variable_for_labeling(?,-,-,?).
5789 block_add_fd_variable_for_labeling(X,_Y,_Z,_WF) :- nonvar(X),!. % no need to label it
5790 block_add_fd_variable_for_labeling(X,_Y,_Z,WF) :- add_fd_variable_for_labeling(X,WF).
5791
5792 :- block get_nat_range_prio(?,-,?,?,?), get_nat_range_prio(?,?,-,?,?).
5793 get_nat_range_prio(_Variable,Y,Z,WF,LWF) :- Size is Z+1-Y,
5794 (Size>1 ->
5795 % we do not use add_fd_variable_for_labeling(Variable,Size,WF,LWF) % will use CLP(FD) labeling
5796 % either clpfd is off or we had a time-out or overflow; so labeling may generate instantiation error
5797 get_wait_flag(Size,get_nat_range_prio(Y,Z),WF,LWF)
5798 ; LWF=Size /* Size=0 or 1 -> we can either fail or determine variable */).
5799
5800 :- assert_must_succeed((kernel_objects:call_enumerate_int(X,1,2,g), X==2)).
5801 :- block call_enumerate_int(-,?,?,-).
5802 call_enumerate_int(X,RL,RU,_LWF) :-
5803 (ground(X) -> true
5804 ; % get_int_domain(X,RL,RU,RLL,RUU) : if clp(fd) active then CLP(FD) labeling is used anyway
5805 ? enumerate_int(X,RL,RU)).
5806
5807
5808
5809
5810 :- assert_must_succeed(exhaustive_kernel_check(not_in_nat_range(int(2),int(3),int(2)))).
5811 :- assert_must_succeed(exhaustive_kernel_fail_check(not_in_nat_range(int(2),int(2),int(3)))).
5812 :- assert_must_succeed((not_in_nat_range(X,int(11),int(12)), X=int(10) )).
5813 :- assert_must_succeed((not_in_nat_range(X,int(11),int(12)), X=int(13) )).
5814 :- assert_must_fail((not_in_nat_range(X,int(11),int(12)), X=int(11) )).
5815 :- assert_must_succeed((not_in_nat_range(X,int(11),int(10)), X=int(11) )).
5816 :- assert_must_succeed((not_in_nat_range(X,int(11),int(10)), X=int(10) )).
5817 :- assert_must_succeed((not_in_nat_range(X,int(11),int(10)), X=int(12) )).
5818
5819 ?not_in_nat_range_wf(X,Y,Z,_WF) :- not_in_nat_range(X,Y,Z).
5820 not_in_nat_range(int(X),int(Y),int(Z)) :-
5821 (number(Y),number(Z)
5822 ? -> (Z>=Y -> clpfd_not_in_non_empty_range(X,Y,Z) ; true /* interval empty */)
5823 ; clpfd_not_inrange(X,Y,Z)
5824 ).
5825
5826
5827 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(1),int(0),int(10),pred_true,WF),WF)).
5828 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(10),int(10),int(10),pred_true,WF),WF)).
5829 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(1),int(1),int(10),pred_true,WF),WF)).
5830 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(10),int(0),int(10),pred_true,WF),WF)).
5831 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(11),int(10),int(9),pred_false,WF),WF)).
5832 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(11),int(13),int(12),pred_false,WF),WF)).
5833 :- assert_must_succeed(exhaustive_kernel_check_wf(test_in_nat_range_wf(int(11),int(13),int(15),pred_false,WF),WF)).
5834
5835 % reified version
5836 :- block test_in_nat_range_wf(-,-,?,-,?), test_in_nat_range_wf(-,?,-,-,?), test_in_nat_range_wf(?,-,-,-,?).
5837 test_in_nat_range_wf(X,Y,Z,PredRes,WF) :- PredRes==pred_true,!,
5838 in_nat_range_wf(X,Y,Z,WF).
5839 test_in_nat_range_wf(X,Y,Z,PredRes,WF) :- PredRes==pred_false,!,
5840 not_in_nat_range_wf(X,Y,Z,WF).
5841 test_in_nat_range_wf(int(X),int(Low),int(Up),PredRes,WF) :-
5842 clpfd_interface:post_constraint2(C1 #<=> (X #>= Low #/\ X #=< Up #/\ Low #=< Up),Posted1),
5843 (Posted1 == true -> prop_01(C1,PredRes) ; test_in_nat_range_no_clpfd(X,Low,Up,PredRes,WF)).
5844
5845 % Note: A #<=> (X #>= Low #/\ X#=< Up #/\ Low #=< Up), Low in 11..15, Up in 7..8. -> CLPFD infers A=0
5846 % without the redundant Low #=< Up it does not infer it !
5847 :- block prop_01(-,-).
5848 prop_01(0,pred_false).
5849 prop_01(1,pred_true).
5850
5851 :- block test_in_nat_range_no_clpfd(-,?,?,-,?), test_in_nat_range_no_clpfd(?,-,?,-,?),
5852 test_in_nat_range_no_clpfd(?,?,-,-,?).
5853 test_in_nat_range_no_clpfd(X,Y,Z,PredRes,WF) :- PredRes==pred_true,!,
5854 in_nat_range_wf(int(X),int(Y),int(Z),WF).
5855 test_in_nat_range_no_clpfd(X,Y,Z,PredRes,WF) :- PredRes==pred_false,!,
5856 not_in_nat_range_wf(int(X),int(Y),int(Z),WF).
5857 test_in_nat_range_no_clpfd(X,Y,Z,PredRes,_WF) :- % X,Y,Z must be ground integers
5858 (X >= Y, X =< Z, Y =< Z -> PredRes=pred_true ; PredRes=pred_false).
5859
5860 :- assert_must_succeed(exhaustive_kernel_check_wf(square(int(3),int(9),WF),WF)).
5861 % is now only called when CLPFD is FALSE
5862 square(int(X),int(Sqr),WF) :-
5863 int_square(X,Sqr,WF),
5864 (var(X) -> clpfd_eq(Sqr,X * X)
5865 ; true). % we can compute the value directly
5866
5867 :- block int_square(-,-,?).
5868 int_square(X,Sqr,_) :- ground(X),!, Sqr is X*X.
5869 int_square(X,Sqr,WF) :- get_binary_choice_wait_flag(int_square,WF,WF2), int_square2(X,Sqr,WF2).
5870 :- block int_square2(-,?,-).
5871 int_square2(X,Sqr,_) :- ground(X),!, Sqr is X*X.
5872 int_square2(X,Sqr,_WF2) :-
5873 ? integer_square_root(Sqr,X).
5874
5875 :- assert_must_succeed(( kernel_objects:integer_square_root(0,X),X==0 )).
5876 :- assert_must_succeed(( kernel_objects:integer_square_root(1,X),X==1 )).
5877 :- assert_must_succeed(( kernel_objects:integer_square_root(4,X),X==2 )).
5878 :- assert_must_succeed(( kernel_objects:integer_square_root(49,X),X==7 )).
5879 :- assert_must_succeed(( kernel_objects:integer_square_root(49,X),X==(-7) )).
5880 :- assert_must_fail(( kernel_objects:integer_square_root(5,_) )).
5881 :- assert_must_succeed(( X= 123456789, Y is X*X, kernel_objects:integer_square_root(Y,Z),Z==X)).
5882 :- assert_must_fail(( X= 123456789, Y is 1+X*X, kernel_objects:integer_square_root(Y,_Z))).
5883 :- assert_must_succeed(( X= 12345678900, Y is X*X, kernel_objects:integer_square_root(Y,Z),Z==X)).
5884
5885 integer_square_root(0,Root) :- !, Root = 0.
5886 :- if(current_prolog_flag(dialect, swi)).
5887 % SWI's behavior when converting bigint to float is suboptimal -
5888 % the value is always truncated toward zero instead of rounded to the nearest value,
5889 % which introduces slight inaccuracies that don't happen on SICStus.
5890 % See: https://github.com/SWI-Prolog/swipl-devel/issues/545
5891 % As a workaround, use CLP(FD) to calculate integer square roots.
5892 % On SWI, CLP(FD) works with unlimited size integers and can calculate exact integer n-th roots.
5893 :- use_module(library(clpfd), [(#=)/2, (#>)/2, (#=<)/2]).
5894 integer_square_root(Sqr,Root) :-
5895 Root*Root #= Sqr,
5896 (Root #> 0 ; Root #=< 0).
5897 :- else.
5898 integer_square_root(Sqr,PMRoot) :-
5899 Sqr>0, Root is truncate(sqrt(Sqr)), Sqr is Root*Root,
5900 (PMRoot = Root ; PMRoot is -(Root)).
5901 :- endif.
5902
5903 % integer multiplication
5904 times(int(X),int(Y),int(Times)) :-
5905 int_times2(X,Y,Times),
5906 ? (two_vars_or_more(X,Y,Times) -> clpfd_eq(Times,X * Y) % can have performance problems.
5907 ; true). % we can compute the value directly
5908
5909 :- assert_must_succeed(exhaustive_kernel_check([commutative],times(int(2),int(3),int(6)))).
5910 :- assert_must_succeed(exhaustive_kernel_check([commutative],times(int(2),int(1),int(2)))).
5911 :- assert_must_succeed(exhaustive_kernel_check([commutative],times(int(2),int(0),int(0)))).
5912 :- assert_must_succeed(exhaustive_kernel_check(times(int(0),int(1),int(0)))).
5913 :- assert_must_succeed(exhaustive_kernel_fail_check([commutative],times(int(2),int(3),int(5)))).
5914 :- assert_must_succeed(exhaustive_kernel_fail_check([commutative],times(int(1),int(3),int(2)))).
5915 :- assert_must_succeed(( int_times2(A,B,C),A=3,B=2,C==6 )).
5916 :- assert_must_succeed(( int_times2(A,B,C),A=3,C=6,B==2 )).
5917 :- assert_must_succeed(( int_times2(A,B,C),B=2,A=3,C==6 )).
5918 :- assert_must_succeed(( int_times2(A,B,C),B=2,C=6,A==3 )).
5919 :- assert_must_succeed(( int_times2(A,B,C),C=6,A=3,B==2 )).
5920 :- assert_must_succeed(( int_times2(A,B,C),C=6,B=2,A==3 )).
5921 :- assert_must_succeed(( int_times2(A,_,C),A=0,C==0 )).
5922 :- assert_must_succeed(( int_times2(_,B,C),B=0,C==0 )).
5923 :- assert_must_succeed(( int_times2(A,B,C),A=1,B==C )).
5924 :- assert_must_succeed(( int_times2(A,B,C),B=1,A==C )).
5925 :- assert_must_succeed(( int_times2(A,1,C),A=2,C==2 )).
5926 :- assert_must_succeed(( int_times2(_A,0,C),C==0 )).
5927 :- assert_must_succeed(( int_times2(A,_,C),C=0,A=0 )).
5928 :- assert_must_succeed(( int_times2(_,B,C),C=0,B=0 )).
5929 :- assert_must_succeed(( int_times2(A,B,0),A=0,B=2 )).
5930 :- assert_must_succeed(( int_times2(A,B,0),B=2,A=0 )).
5931 :- assert_must_succeed(( int_times2(B,A,0),A=0,B=2 )).
5932 :- assert_must_succeed(( int_times2(B,A,0),B=2,A=0 )).
5933 :- assert_must_fail(( int_times2(A,_,C),A=3,C=7 )).
5934 :- assert_must_fail(( int_times2(A,_,C),C=7,A=3 )).
5935 :- assert_must_fail(( int_times2(_,B,C),B=2,C=7 )).
5936 :- assert_must_fail(( int_times2(_,B,C),C=7,B=2 )).
5937 :- assert_must_fail(( int_times2(A,_,C),C=7,A=0 )).
5938 :- assert_must_fail(( int_times2(_,B,C),C=7,B=0 )).
5939 :- assert_must_fail(( int_times2(B,A,0),B=2,A=1 )).
5940
5941 :- block int_times2(-,-,-).
5942 int_times2(X,Y,Times) :-
5943 ( ground(X) ->
5944 ( X==1 -> Y=Times
5945 ; X==0 -> Times=0
5946 ; int_times3(X,Y,Times))
5947 ; ground(Y) ->
5948 ( Y==1 -> X=Times
5949 ; Y==0 -> Times=0
5950 ; int_times3(Y,X,Times))
5951 ; int_times4(X,Y,Times)).
5952 % int_times3/3: First argument must be ground when called and non-zero
5953 :- block int_times3(?,-,-).
5954 int_times3(X,Y,Times) :-
5955 ( ground(Y) -> Times is X*Y
5956 ; Y is Times // X, Times is X*Y).
5957 % int_times4/3: Third argument must be ground when called
5958 :- block int_times4(-,-,?).
5959 int_times4(X,Y,Times) :-
5960 ( Times==0 ->
5961 ( ground(X) -> (X==0 -> true; Y=0 )
5962 ; /* ground(Y) -> */ (Y==0 -> true; X=0 ))
5963 ; /* Times /== 0 */
5964 ( ground(X) -> X\==0, Y is Times // X, Times is X*Y
5965 ; /* ground(Y) -> */ Y\==0, X is Times // Y, Times is X*Y)).
5966
5967
5968 :- assert_must_succeed(exhaustive_kernel_check(int_power(int(2),int(3),int(8),unknown,_))).
5969 :- assert_must_succeed(exhaustive_kernel_check(int_power(int(2),int(1),int(2),unknown,_))).
5970 :- assert_must_succeed(exhaustive_kernel_check(int_power(int(3),int(0),int(1),unknown,_))).
5971 :- assert_must_succeed(exhaustive_kernel_check(int_power(int(1),int(3),int(1),unknown,_))).
5972 :- assert_must_succeed(exhaustive_kernel_check(int_power(int(0),int(3),int(0),unknown,_))).
5973 :- assert_must_succeed(exhaustive_kernel_check(int_power(int(0),int(0),int(1),unknown,_))).
5974 :- assert_must_succeed(exhaustive_kernel_fail_check(int_power(int(2),int(3),int(6),unknown,_))).
5975 :- assert_must_succeed(exhaustive_kernel_fail_check(int_power(int(0),int(0),int(0),unknown,_))).
5976 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=2,B=5,C==32 )).
5977 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A= -2,B=5,C== -32 )).
5978 %:- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=1,B= -5,C==1 )). % now aborts !
5979 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=1,C=1, B= -5 )).
5980 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=1,C= 1,B = -5 )).
5981 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=2,C=32,B==5 )).
5982 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=10,C=1000,B==3 )).
5983 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A= -2,C= -32,B==5 )).
5984 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A= -2,C= 16,B==4 )).
5985 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=2,C=1,B==0 )).
5986 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=0,B=2,C==0 )).
5987 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=0,C=0,B=2 )).
5988 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=0,B=0,C==1 )).
5989 :- assert_must_succeed(( int_power2(A,B,C,unknown,_),A=0,C=1,B==0 )).
5990 :- assert_must_succeed(( int_power2(17,13,C,unknown,_),C==9904578032905937 )).
5991 :- assert_must_succeed((platform_is_64_bit
5992 -> int_power2(A,13,C,unknown,_),C=9904578032905937,A=17
5993 ; int_power2(A,9,C,unknown,_),C=134217728,A=8 )).
5994 :- assert_must_fail((platform_is_64_bit
5995 -> int_power2(A,13,C,unknown,_),C=9904578032905936,A=17
5996 ; int_power2(A,9,C,unknown,_),C=134217727,A=8 )).
5997 :- assert_must_succeed((platform_is_64_bit
5998 -> int_power2(A,10,C,unknown,_),C=576650390625,A=15
5999 ; true)).
6000 :- assert_must_fail((platform_is_64_bit
6001 -> int_power2(A,10,C,unknown,_),C=576650390626,A=15
6002 ; false)).
6003 :- assert_must_succeed(( int_power2(A,100,C,unknown,_),A=2,C==1267650600228229401496703205376 )).
6004 :- assert_must_fail(( int_power2(A,100,C,unknown,_),C=1267650600228229401496703205375,A=2 )).
6005 :- assert_must_fail(( int_power2(A,100,C,unknown,_),C=1267650600228229401496703205377,A=2 )).
6006
6007 :- assert_must_fail(( int_power2(A,B,C,unknown,_),A=2,B=5,C=33 )).
6008 :- assert_must_abort_wf(( int_power2(A,B,_,unknown,WF),A=2,B= -5 ),WF).
6009 :- assert_must_fail(( int_power2(A,_,C,unknown,_),A= -2,C=32 )).
6010 :- assert_must_fail(( int_power2(A,_,C,unknown,_),A= -2,C= -16 )).
6011 % Note: 0**0=1 (see SIMP_SPECIAL_EXPN_0 in https://wiki.event-b.org/index.php/All_Rewrite_Rules)
6012 % TODO: in TLA+ it is undefined (TLC says 0^0 is undefined.)
6013
6014 :- use_module(specfile,[eventb_mode/0]).
6015 % TODO: calculate X from Y und Pow (i.e., Yth root of Pow); in CLPFD mode this is more or less done
6016 int_power(int(X),int(Y),int(Pow),Span,WF) :- % power_of AST node
6017 ( preferences:preference(use_clpfd_solver,true)
6018 -> int_power2(X,Y,Pow,Span,WF), int_power_clpfd_propagation(X,Y,Pow)
6019 ; int_power1(X,Y,Pow,Span,WF)).
6020 % TO DO ?: if all are variables we can still infer some knowledge
6021 % e.g. if X is positive then Pow must be positive; but it is probably quite rare that we have models with unknown exponent ?
6022 :- block int_power1(-,?,?,?,?). % ensure that Base X is known if CLPFD off
6023 int_power1(X,Y,Pow,Span,WF) :-
6024 int_power2(X,Y,Pow,Span,WF).
6025 :- block int_power2(-,-,?,?,?), int_power2(?,-,-,?,?). % we know Y or both X&Pow
6026 int_power2(X,Y,Pow,Span,WF) :-
6027 ( ground(Y) ->
6028 ( Y>=0 -> (integer(X) -> safe_int_power0(X,Y,PowXY,Span,WF),
6029 clpfd_nr_eq(PowXY,Pow) % try and prevent overflow if PowXY is large
6030 ; safe_int_power0(X,Y,Pow,Span,WF))
6031 ; add_wd_error_set_result('power with negative exponent','**'(X,Y),Pow,1,Span,WF))
6032 ; /* X & POW are ground */
6033 ( X==1 -> Pow==1 /* 1**Y = 1 */
6034 ; X==0, Pow==1 -> Y=0
6035 ; X==0 -> (Pow==1 -> Y=1 /* 0**0=1 */ ; Pow==0 -> integer_dif(Y,0))
6036 ; X>0, Pow>0 ->
6037 checked_precise_log(X,Y,Pow,Span,WF)
6038 % TO DO: X<0 should raise WD error for Event-B ?
6039 ; X<0, eventb_mode -> add_wd_error_set_result('power with negative base','^'(X,Y),Pow,1,Span,WF)
6040 ; X<0, Pow<0 ->
6041 PosPow is -(Pow),
6042 NegX is -(X),
6043 checked_precise_log(NegX,Y,PosPow,Span,WF),
6044 odd(Y)
6045 ; X<0, Pow>0 ->
6046 NegX is -(X),
6047 checked_precise_log(NegX,Y,Pow,Span,WF),
6048 even(Y))).
6049
6050 :- assert_must_succeed(( integer_log(3,59049,Log),Log==10 )).
6051 :- assert_must_succeed(( integer_log(2,1024,Log),Log==10 )).
6052 :- assert_must_succeed(( integer_log(4,1024,Log),Log==5 )).
6053 :- assert_must_succeed(( integer_log(10,1,Log),Log==0 )).
6054 :- assert_must_succeed(( integer_log(10,2,Log),Log==0 )).
6055 :- assert_must_succeed(( integer_log(10,10,Log),Log==1 )).
6056 :- assert_must_succeed(( integer_log(10,11,Log),Log==1 )).
6057 :- assert_must_succeed(( integer_log(10,1000,Log),Log==3 )).
6058 :- use_module(tools_portability, [check_arithmetic_function/1]).
6059 integer_log(Base,Power,_Exp) :- (Base =< 0 ; Power =< 0), !,
6060 add_error_and_fail(integer_log,'Logarithm only defined for positive values: ',log(Base,Power)).
6061 :- if(check_arithmetic_function(log(2, 4))).
6062 % Native log(Base, Power) function is available - use it. is available in SICStus
6063 integer_log(Base, Power, Exp) :- ApproximateExp is truncate(log(Base, Power)),
6064 % it is precise for power of 2 it seems, but not for 3
6065 % | ?- X is log(3,59049). X = 9.999999999999998 ? -> truncate gives 9, correct value is 10
6066 correct_integer_log_approximation(Base,Power,ApproximateExp,_,Exp).
6067 :- else.
6068 % No native log(Base, Power) support, so construct it using natural logarithms.
6069 integer_log(Base, Power, Exp) :- ApproximateExp is truncate(log(Power) / log(Base)),
6070 correct_integer_log_approximation(Base,Power,ApproximateExp,_,Exp).
6071 :- endif.
6072
6073 correct_integer_log_approximation(Base,Power,Exp,Correction,Res) :-
6074 BE is Base ^ Exp,
6075 (Correction=decreasing, BE > Power % not sure this case will ever trigger
6076 -> Exp1 is Exp-1, %write(dec(Base,Bower,Exp1)),nl,
6077 correct_integer_log_approximation(Base,Power,Exp1,Correction,Res)
6078 ; Correction=increasing, BE*Base =< Power
6079 -> Exp1 is Exp+1, %write(inc(Base,Bower,Exp1)),nl,
6080 correct_integer_log_approximation(Base,Power,Exp1,Correction,Res)
6081 ; Res=Exp).
6082
6083 % TO DO for checked_precise_log: we should take pre-cautions with try_find_abort
6084 % 2**x + y = 1024 & y:0..100 -> will give x=10, y=0 but not give rise to possible WD error
6085 checked_precise_log(1,Exp,Pow,_,_) :- !, % the SICStus Prolog log function does not work for Base=1
6086 Pow=1, less_than_equal_direct(0,Exp).
6087 checked_precise_log(Base,Exp,Pow,Span,WF) :-
6088 integer_log(Base,Pow,Exp),
6089 safe_int_power(Base,Exp,Pow,Span,WF). % we have the perfect solution
6090 % ; Exp is Try+1, write(inc(Base,Pow,Try)),nl, safe_int_power(Base,Exp,Pow,Span,WF) ,write(pow(Base,Exp,Pow)),nl).
6091
6092 :- block even(-).
6093 even(X) :- 0 is X mod 2.
6094 :- block odd(-).
6095 odd(X) :- 1 is X mod 2.
6096
6097 % propagation rules if only one of the args known
6098 :- block int_power_clpfd_propagation(-,-,-).
6099 int_power_clpfd_propagation(Base,Exp,Pow) :- Exp==0, var(Base),var(Pow),!, % B**0 = 1
6100 Pow = 1.
6101 int_power_clpfd_propagation(Base,Exp,Pow) :- Exp==1, var(Base),var(Pow),!, % B**1 = B
6102 Pow = Base.
6103 int_power_clpfd_propagation(Base,Exp,Pow) :- Base==1, var(Exp),var(Pow),!, % 1**E = 1
6104 Pow = Base.
6105 int_power_clpfd_propagation(Base,Exp,Pow) :- Base==0, var(Exp),var(Pow),!, % 0**E = 0 if E>0
6106 (fd_min(Exp,MinExp), number(MinExp), MinExp>0 -> Pow=0
6107 ; true). % case Exp=0 is treated in int_power itself
6108 %int_power_clpfd_propagation(Base,Exp,Pow) :- number(Base), Base>0,var(Exp),var(Pow),!,
6109 % clpfd_leq(1,Pow,_). % causes problem with test 305
6110 int_power_clpfd_propagation(X,Y,Pow) :-
6111 fd_min(X,MinX), number(MinX), MinX>0,
6112 fd_min(Y,MinY), number(MinY), MinY>0, % ensures no WD problem possible
6113 MinPow is MinX^MinY,
6114 \+ integer_too_large_for_clpfd(MinPow),
6115 fd_max(X,MaxX), number(MaxX),
6116 fd_max(Y,MaxY), number(MaxY),
6117 MaxPow is MaxX^MaxY,
6118 \+ integer_too_large_for_clpfd(MaxPow),
6119 % only do propagation if we are sure not to produce a CLPFD overflow
6120 !,
6121 clpfd_inrange(Pow,MinPow,MaxPow),
6122 (number(X), fd_max(Pow,MaxPow2), number(MaxPow2), get_new_upper_bound(X,MaxPow2,NewMaxExp,NewMaxPow)
6123 -> clpfd_leq(Pow,NewMaxPow,_),
6124 clpfd_leq(Y,NewMaxExp,_)
6125 ; true),
6126 (number(X), fd_min(Pow,MinPow2), number(MinPow2), get_new_lower_bound(X,MinPow2,NewMinExp,NewMinPow)
6127 -> clpfd_leq(NewMinPow,Pow,_),
6128 clpfd_leq(NewMinExp,Y,_)
6129 ; true),
6130 true.
6131 %result of this propagation: x = 3**y & y:3..5 & x /= 27 & x /= 243 -> deterministically forces x=81, y=4
6132 int_power_clpfd_propagation(Base,Exp,Pow) :- number(Base), Base>1, var(Exp), var(Pow),
6133 fd_max(Pow,MaxPow), number(MaxPow),!,
6134 (MaxPow =< 0 -> fail % Base^Exp will always be strictly positive
6135 ; integer_log(Base,MaxPow,Log)
6136 -> clpfd_leq(Exp,Log,_)
6137 ; add_internal_error('Failed:',integer_log(Base,MaxPow,_)),
6138 clpfd_lt(Exp,MaxPow,_Posted)).
6139 int_power_clpfd_propagation(_,_,_).
6140 % TO DO: maybe implement custom CLPFD propagators; above does not trigger for x>0 & y:0..500 & 2**x + y = 1500 or x>0 & x<20 & y:0..500 & 2**x + y = 1500
6141
6142 :- assert_must_succeed((kernel_objects:get_new_lower_bound(2,3,E,P),E==2,P==4)).
6143 :- assert_must_succeed((kernel_objects:get_new_lower_bound(2,11,E,P),E==4,P==16)).
6144 :- assert_must_fail((kernel_objects:get_new_lower_bound(2,16,_,_))).
6145 % given Base and Power, determine if Power is a proper power of Exp, if not determine the next possible power of Base
6146 get_new_lower_bound(Base,Power,MinExp,MinPower) :- Base > 1, Power> 0,
6147 integer_log(Base,Power,Exp),
6148 BE is Base^Exp,
6149 BE < Power,
6150 MinPower is Base*BE,
6151 MinPower>Power,
6152 MinPower < 1125899906842624, % 2^50 \+ integer_too_large_for_clpfd(MinPower),
6153 MinExp is Exp+1.
6154 :- assert_must_succeed((kernel_objects:get_new_upper_bound(2,3,E,P),E==1,P==2)).
6155 :- assert_must_succeed((kernel_objects:get_new_upper_bound(2,11,E,P),E==3,P==8)).
6156 :- assert_must_fail((kernel_objects:get_new_upper_bound(2,16,_,_))).
6157 get_new_upper_bound(Base,Power,MaxExp,MaxPower) :- Base > 1, Power> 0,
6158 integer_log(Base,Power,MaxExp),
6159 MaxPower is Base^MaxExp,
6160 MaxPower < Power,
6161 \+ integer_too_large_for_clpfd(MaxPower),
6162 MaxPower*Base > Power.
6163
6164 % safe exponentiation using the squaring algorithm (CLPFD supports exponentiation only for SICStus 4.9 or later)
6165 % Note: in TLA mode 0^0 is undefined according to TLC; for B/Rodin it is 1
6166 safe_int_power0(Base,Exp,Result,Span,WF) :- var(Base),
6167 Exp>30,!, % Exp>59 % 2**59 no overflow; but everything above that is guaranteed to generate an overflow unless Base is 0 or 1 or -1
6168 % 3**38 generates overflow; 4**30 generates overflow on 64-bit systems
6169 % To do: examine whether we should already delay with a smaller or larger exponent
6170 when(nonvar(Base),safe_int_power(Base,Exp,Result,Span,WF)). % wait until Base is known to avoid CLPFD overflow
6171 safe_int_power0(Base,Exp,Result,Span,WF) :- safe_int_power(Base,Exp,Result,Span,WF).
6172
6173 :- assert_must_succeed(( safe_int_power(0,0,P,unknown,_),P==1 )).
6174 ?safe_int_power(Base,Exp,Result,Span,WF) :- number(Base), Base<0, eventb_mode,!,
6175 add_wd_error_set_result('power with negative base','^'(Base,Exp),Result,1,Span,WF).
6176 safe_int_power(_Base,0,Result,_,_WF) :- !, Result = 1.
6177 safe_int_power(Base,Exp,Result,_,_) :- number(Base),!,
6178 Result is Base^Exp. % new integer exponentiation operator in SICStus 4.3, Note: X is 0^0. -> X=1
6179 safe_int_power(Base,Exp,Result,_,_) :-
6180 Msb is msb(Exp), % most significant bit
6181 ExpMask is 1<<Msb,
6182 safe_int_power_clpfd2(ExpMask,Exp,Base,1,Result).
6183
6184 :- use_module(clpfd_interface,[clpfd_eq_expr/2]).
6185 safe_int_power_clpfd2(0,_,_,Prev,Result) :- !, Prev=Result.
6186 safe_int_power_clpfd2(Mask,Exp,Base,Prev,Result) :-
6187 P is Exp /\ Mask, % P is Exp's highest bit
6188 Mask2 is Mask>>1,
6189 clpfd_eq_expr(Quad,Prev*Prev),
6190 ( P==0 -> Next = Quad
6191 ; clpfd_eq_expr(Next,Quad*Base) ),
6192 safe_int_power_clpfd2(Mask2,Exp,Base,Next,Result).
6193 %% -------------------------------------------------------
6194
6195 :- assert_must_succeed(( singleton_set_element([int(1)],E,unknown,_WF), E==int(1) )).
6196 :- assert_must_succeed(( singleton_set_element([int(X)],int(1),unknown,_WF), X==1 )).
6197 :- assert_must_fail(singleton_set_element([int(1)],int(2),unknown,_WF) ).
6198 :- assert_must_abort_wf(kernel_objects:singleton_set_element([int(1),int(2)],_E,unknown,WF),WF).
6199 % This predicate computes the effect of the MU operator.
6200 % Set should be a singleton set and Elem its only element.
6201 % In case Set is empty or has more than one element, an error
6202 % message is generated.
6203 :- block singleton_set_element(-,?,?,?).
6204 singleton_set_element([],_,Span,WF) :- !,
6205 add_wd_error_span('argument of MU expression must have cardinality 1, but is empty ', '', Span,WF).
6206 singleton_set_element([H|T],Elem,Span,WF) :- !,
6207 empty_set_test_wf(T,Empty,WF),
6208 when(nonvar(Empty),
6209 (Empty=pred_true -> equal_object_wf(Elem,H,singleton_set_element,WF)
6210 ; add_wd_error_span('argument of MU expression has more than one element ',
6211 b(value([H|T]),set(any),[]), Span,WF))).
6212 singleton_set_element(avl_set(A),Elem,Span,WF) :- !,
6213 ? (is_one_element_avl(A,AEl) -> equal_object_wf(Elem,AEl,singleton_set_element,WF)
6214 ; add_wd_error_span('argument of MU expression has more than one element ',
6215 b(value(avl_set(A)),set(any),[]), Span,WF)).
6216 singleton_set_element(Set,Elem,Span,WF) :-
6217 cardinality_as_int_wf(Set,Card,WF), % we have a comprehension set; could return inf !
6218 singleton_set_element1(Card,Set,Elem,Span,WF).
6219 :- block singleton_set_element1(-,?,?,?,?).
6220 singleton_set_element1(int(Card),Set,Elem,Span,WF) :- !,
6221 % we could check if fd_dom of Card is set up and call equality_objects_lwf(Card,int(1),IsSingleton,LWF,WF) if it is
6222 singleton_set_element2(Card,Set,Elem,Span,WF).
6223 singleton_set_element1(XX,_Set,_Elem,Span,WF) :-
6224 add_wd_error_span('argument of MU expression must have cardinality 1, but has ', XX, Span,WF).
6225
6226 :- block singleton_set_element2(-,?,?,?,?).
6227 singleton_set_element2(1,Set,Elem,_Span,_WF) :- !,
6228 exact_element_of(Elem,Set).
6229 singleton_set_element2(Card,_Set,_Elem,Span,WF) :-
6230 add_wd_error_span('argument of MU expression must have cardinality 1, but has ', Card, Span,WF).
6231
6232 :- assert_must_succeed(( singleton_set_element_wd([int(1)],E,unknown,_WF), E==int(1) )).
6233 :- assert_must_succeed(( singleton_set_element_wd([int(X)],int(1),unknown,_WF), X==1 )).
6234 %:- assert_must_succeed(( singleton_set_element_wd([int(X)|T],int(1),unknown,_WF), X==1, T==[] )).
6235 :- assert_must_fail(singleton_set_element_wd([int(1)],int(2),unknown,_WF) ).
6236 % MU_WD: a version of singleton_set_element which propagates more strongly from result to input
6237 % and thus may not raise WD errors in this case
6238 :- block singleton_set_element_wd(-,-,?,?).
6239 singleton_set_element_wd(Set,Elem,Span,WF) :- nonvar(Set),!, % TODO: first check if Elem is ground
6240 ? singleton_set_element(Set,Elem,Span,WF).
6241 singleton_set_element_wd(Set,Elem,_,WF) :- % TODO: only propagate if fully known?
6242 %(debug_mode(on) -> add_message_wf('MU_WD','MU_WD result instantiated: ',Elem,Span,WF) ; true),
6243 equal_object_wf(Set,[Elem],singleton_set_element_wd,WF).
6244
6245
6246 %:- print(finished_loading_kernel_objects),nl.