summaryrefslogtreecommitdiff
path: root/lib/spack/spack/solver/asp.py
blob: 2fb20d914ad9b413a048b51c72a4428ee048d810 (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
# Copyright 2013-2021 Lawrence Livermore National Security, LLC and other
# Spack Project Developers. See the top-level COPYRIGHT file for details.
#
# SPDX-License-Identifier: (Apache-2.0 OR MIT)
from __future__ import print_function

import collections
import copy
import itertools
import os
import pprint
import sys
import types
import warnings

from six import string_types

import archspec.cpu

try:
    import clingo

    # There may be a better way to detect this
    clingo_cffi = hasattr(clingo.Symbol, '_rep')
except ImportError:
    clingo = None  # type: ignore
    clingo_cffi = False

import llnl.util.lang
import llnl.util.tty as tty

import spack
import spack.architecture
import spack.bootstrap
import spack.cmd
import spack.compilers
import spack.config
import spack.dependency
import spack.directives
import spack.error
import spack.package
import spack.package_prefs
import spack.repo
import spack.spec
import spack.util.timer
import spack.variant
import spack.version

if sys.version_info >= (3, 3):
    from collections.abc import Sequence  # novm
else:
    from collections import Sequence


def issequence(obj):
    if isinstance(obj, string_types):
        return False
    return isinstance(obj, (Sequence, types.GeneratorType))


def listify(args):
    if len(args) == 1 and issequence(args[0]):
        return list(args[0])
    return list(args)


def packagize(pkg):
    if isinstance(pkg, string_types):
        return spack.repo.path.get_pkg_class(pkg)
    else:
        return pkg


def specify(spec):
    if isinstance(spec, spack.spec.Spec):
        return spec
    return spack.spec.Spec(spec)


class AspObject(object):
    """Object representing a piece of ASP code."""


def _id(thing):
    """Quote string if needed for it to be a valid identifier."""
    if isinstance(thing, AspObject):
        return thing
    elif isinstance(thing, bool):
        return '"%s"' % str(thing)
    elif isinstance(thing, int):
        return str(thing)
    else:
        return '"%s"' % str(thing)


class AspFunction(AspObject):
    def __init__(self, name, args=None):
        self.name = name
        self.args = [] if args is None else args

    def __call__(self, *args):
        return AspFunction(self.name, args)

    def symbol(self, positive=True):
        def argify(arg):
            if isinstance(arg, bool):
                return clingo.String(str(arg))
            elif isinstance(arg, int):
                return clingo.Number(arg)
            else:
                return clingo.String(str(arg))
        return clingo.Function(
            self.name, [argify(arg) for arg in self.args], positive=positive)

    def __getitem___(self, *args):
        self.args[:] = args
        return self

    def __str__(self):
        return "%s(%s)" % (
            self.name, ', '.join(str(_id(arg)) for arg in self.args))

    def __repr__(self):
        return str(self)


class AspFunctionBuilder(object):
    def __getattr__(self, name):
        return AspFunction(name)


fn = AspFunctionBuilder()


def all_compilers_in_config():
    return spack.compilers.all_compilers()


def extend_flag_list(flag_list, new_flags):
    """Extend a list of flags, preserving order and precedence.

    Add new_flags at the end of flag_list.  If any flags in new_flags are
    already in flag_list, they are moved to the end so that they take
    higher precedence on the compile line.

    """
    for flag in new_flags:
        if flag in flag_list:
            flag_list.remove(flag)
        flag_list.append(flag)


def check_same_flags(flag_dict_1, flag_dict_2):
    """Return True if flag dicts contain the same flags regardless of order."""
    types = set(flag_dict_1.keys()).union(set(flag_dict_2.keys()))
    for t in types:
        values1 = set(flag_dict_1.get(t, []))
        values2 = set(flag_dict_2.get(t, []))
        assert values1 == values2


def check_packages_exist(specs):
    """Ensure all packages mentioned in specs exist."""
    repo = spack.repo.path
    for spec in specs:
        for s in spec.traverse():
            try:
                check_passed = repo.exists(s.name) or repo.is_virtual(s.name)
            except Exception as e:
                msg = 'Cannot find package: {0}'.format(str(e))
                check_passed = False
                tty.debug(msg)

            if not check_passed:
                raise spack.repo.UnknownPackageError(str(s.fullname))


class Result(object):
    """Result of an ASP solve."""
    def __init__(self, specs, asp=None):
        self.asp = asp
        self.satisfiable = None
        self.optimal = None
        self.warnings = None
        self.nmodels = 0

        # specs ordered by optimization level
        self.answers = []
        self.cores = []

        # names of optimization criteria
        self.criteria = []

        # Abstract user requests
        self.abstract_specs = specs

        # Concrete specs
        self._concrete_specs = None

    def print_cores(self):
        for core in self.cores:
            tty.msg(
                "The following constraints are unsatisfiable:",
                *sorted(str(symbol) for symbol in core))

    @property
    def specs(self):
        """List of concretized specs satisfying the initial
        abstract request.
        """
        # The specs were already computed, return them
        if self._concrete_specs:
            return self._concrete_specs

        # Assert prerequisite
        msg = 'cannot compute specs ["satisfiable" is not True ]'
        assert self.satisfiable, msg

        self._concrete_specs = []
        best = min(self.answers)
        opt, _, answer = best
        for input_spec in self.abstract_specs:
            key = input_spec.name
            if input_spec.virtual:
                providers = [spec.name for spec in answer.values()
                             if spec.package.provides(key)]
                key = providers[0]

            self._concrete_specs.append(answer[key])

        return self._concrete_specs


def _normalize_packages_yaml(packages_yaml):
    normalized_yaml = copy.copy(packages_yaml)
    for pkg_name in packages_yaml:
        is_virtual = spack.repo.path.is_virtual(pkg_name)
        if pkg_name == 'all' or not is_virtual:
            continue

        # Remove the virtual entry from the normalized configuration
        data = normalized_yaml.pop(pkg_name)
        is_buildable = data.get('buildable', True)
        if not is_buildable:
            for provider in spack.repo.path.providers_for(pkg_name):
                entry = normalized_yaml.setdefault(provider.name, {})
                entry['buildable'] = False

        externals = data.get('externals', [])
        keyfn = lambda x: spack.spec.Spec(x['spec']).name
        for provider, specs in itertools.groupby(externals, key=keyfn):
            entry = normalized_yaml.setdefault(provider, {})
            entry.setdefault('externals', []).extend(specs)

    return normalized_yaml


class PyclingoDriver(object):
    def __init__(self, cores=True, asp=None):
        """Driver for the Python clingo interface.

        Arguments:
            cores (bool): whether to generate unsatisfiable cores for better
                error reporting.
            asp (file-like): optional stream to write a text-based ASP program
                for debugging or verification.
        """
        global clingo
        if not clingo:
            # TODO: Find a way to vendor the concrete spec
            # in a cross-platform way
            with spack.bootstrap.ensure_bootstrap_configuration():
                clingo_spec = spack.bootstrap.clingo_root_spec()
                clingo_spec._old_concretize()
                spack.bootstrap.make_module_available(
                    'clingo', spec=clingo_spec, install=True
                )
                import clingo
        self.out = asp or llnl.util.lang.Devnull()
        self.cores = cores

    def title(self, name, char):
        self.out.write('\n')
        self.out.write("%" + (char * 76))
        self.out.write('\n')
        self.out.write("%% %s\n" % name)
        self.out.write("%" + (char * 76))
        self.out.write('\n')

    def h1(self, name):
        self.title(name, "=")

    def h2(self, name):
        self.title(name, "-")

    def newline(self):
        self.out.write('\n')

    def fact(self, head):
        """ASP fact (a rule without a body)."""
        symbol = head.symbol() if hasattr(head, 'symbol') else head

        self.out.write("%s.\n" % str(symbol))

        atom = self.backend.add_atom(symbol)
        self.backend.add_rule([atom], [], choice=self.cores)
        if self.cores:
            self.assumptions.append(atom)

    def solve(
            self, solver_setup, specs, dump=None, nmodels=0,
            timers=False, stats=False, tests=False
    ):
        timer = spack.util.timer.Timer()

        # Initialize the control object for the solver
        self.control = clingo.Control()
        self.control.configuration.solve.models = nmodels
        self.control.configuration.asp.trans_ext = 'all'
        self.control.configuration.asp.eq = '5'
        self.control.configuration.configuration = 'tweety'
        self.control.configuration.solve.parallel_mode = '2'
        self.control.configuration.solver.opt_strategy = "usc,one"

        # set up the problem -- this generates facts and rules
        self.assumptions = []
        with self.control.backend() as backend:
            self.backend = backend
            solver_setup.setup(self, specs, tests=tests)
        timer.phase("setup")

        # read in the main ASP program and display logic -- these are
        # handwritten, not generated, so we load them as resources
        parent_dir = os.path.dirname(__file__)
        self.control.load(os.path.join(parent_dir, 'concretize.lp'))
        self.control.load(os.path.join(parent_dir, "display.lp"))
        timer.phase("load")

        # Grounding is the first step in the solve -- it turns our facts
        # and first-order logic rules into propositional logic.
        self.control.ground([("base", [])])
        timer.phase("ground")

        # With a grounded program, we can run the solve.
        result = Result(specs)
        models = []  # stable models if things go well
        cores = []   # unsatisfiable cores if they do not

        def on_model(model):
            models.append((model.cost, model.symbols(shown=True, terms=True)))

        solve_kwargs = {"assumptions": self.assumptions,
                        "on_model": on_model,
                        "on_core": cores.append}
        if clingo_cffi:
            solve_kwargs["on_unsat"] = cores.append
        solve_result = self.control.solve(**solve_kwargs)
        timer.phase("solve")

        # once done, construct the solve result
        result.satisfiable = solve_result.satisfiable

        def stringify(x):
            if clingo_cffi:
                # Clingo w/ CFFI will throw an exception on failure
                try:
                    return x.string
                except RuntimeError:
                    return str(x)
            else:
                return x.string or str(x)

        if result.satisfiable:
            # build spec from the best model
            builder = SpecBuilder(specs)
            min_cost, best_model = min(models)
            tuples = [
                (sym.name, [stringify(a) for a in sym.arguments])
                for sym in best_model
            ]
            answers = builder.build_specs(tuples)

            # add best spec to the results
            result.answers.append((list(min_cost), 0, answers))

            # pull optimization criteria names out of the solution
            criteria = [
                (int(args[0]), args[1]) for name, args in tuples
                if name == "opt_criterion"
            ]
            result.criteria = [t[1] for t in sorted(criteria, reverse=True)]

            # record the number of models the solver considered
            result.nmodels = len(models)

        elif cores:
            symbols = dict(
                (a.literal, a.symbol)
                for a in self.control.symbolic_atoms
            )
            for core in cores:
                core_symbols = []
                for atom in core:
                    sym = symbols[atom]
                    if sym.name == "rule":
                        sym = sym.arguments[0].string
                    core_symbols.append(sym)
                result.cores.append(core_symbols)

        if timers:
            timer.write_tty()
            print()
        if stats:
            print("Statistics:")
            pprint.pprint(self.control.statistics)

        return result


class SpackSolverSetup(object):
    """Class to set up and run a Spack concretization solve."""

    def __init__(self):
        self.gen = None  # set by setup()
        self.possible_versions = {}
        self.versions_in_package_py = {}
        self.deprecated_versions = {}
        self.versions_from_externals = {}
        self.possible_virtuals = None
        self.possible_compilers = []
        self.variant_values_from_specs = set()
        self.version_constraints = set()
        self.target_constraints = set()
        self.compiler_version_constraints = set()
        self.post_facts = []

        # id for dummy variables
        self._condition_id_counter = itertools.count()

        # Caches to optimize the setup phase of the solver
        self.target_specs_cache = None

    def pkg_version_rules(self, pkg):
        """Output declared versions of a package.

        This uses self.possible_versions so that we include any versions
        that arise from a spec.
        """
        pkg = packagize(pkg)

        config = spack.config.get("packages")
        version_prefs = config.get(pkg.name, {}).get("version", {})
        priority = dict((v, i) for i, v in enumerate(version_prefs))

        # The keys below show the order of precedence of factors used
        # to select a version when concretizing.  The item with
        # the "largest" key will be selected.
        #
        # NOTE: When COMPARING VERSIONS, the '@develop' version is always
        #       larger than other versions.  BUT when CONCRETIZING,
        #       the largest NON-develop version is selected by default.
        keyfn = lambda v: (
            # ------- Special direction from the user
            # Respect order listed in packages.yaml
            -priority.get(v, 0),

            # The preferred=True flag (packages or packages.yaml or both?)
            pkg.versions.get(v, {}).get('preferred', False),

            # ------- Regular case: use latest non-develop version by default.
            # Avoid @develop version, which would otherwise be the "largest"
            # in straight version comparisons
            not v.isdevelop(),

            # Compare the version itself
            # This includes the logic:
            #    a) develop > everything (disabled by "not v.isdevelop() above)
            #    b) numeric > non-numeric
            #    c) Numeric or string comparison
            v)

        # Compute which versions appear only in packages.yaml
        from_externals = self.versions_from_externals[pkg.name]
        from_package_py = self.versions_in_package_py[pkg.name]
        only_from_externals = from_externals - from_package_py

        # These versions don't need a default weight, as they are
        # already weighted in a more favorable way when accounting
        # for externals. Assigning them a default weight would be
        # equivalent to state that they are also declared in
        # the package.py file
        considered = self.possible_versions[pkg.name] - only_from_externals
        most_to_least_preferred = sorted(considered, key=keyfn, reverse=True)

        for i, v in enumerate(most_to_least_preferred):
            self.gen.fact(fn.version_declared(pkg.name, v, i))

        # Declare deprecated versions for this package, if any
        deprecated = self.deprecated_versions[pkg.name]
        for v in sorted(deprecated):
            self.gen.fact(fn.deprecated_version(pkg.name, v))

    def spec_versions(self, spec):
        """Return list of clauses expressing spec's version constraints."""
        spec = specify(spec)
        assert spec.name

        if spec.concrete:
            return [fn.version(spec.name, spec.version)]

        if spec.versions == spack.version.ver(":"):
            return []

        # record all version constraints for later
        self.version_constraints.add((spec.name, spec.versions))
        return [fn.version_satisfies(spec.name, spec.versions)]

    def target_ranges(self, spec, single_target_fn):
        target = spec.architecture.target

        # Check if the target is a concrete target
        if str(target) in archspec.cpu.TARGETS:
            return [single_target_fn(spec.name, target)]

        self.target_constraints.add((spec.name, target))
        return [fn.node_target_satisfies(spec.name, target)]

    def conflict_rules(self, pkg):
        for trigger, constraints in pkg.conflicts.items():
            trigger_id = self.condition(spack.spec.Spec(trigger), name=pkg.name)
            self.gen.fact(fn.conflict_trigger(trigger_id))

            for constraint, _ in constraints:
                constraint_id = self.condition(constraint, name=pkg.name)
                self.gen.fact(fn.conflict(pkg.name, trigger_id, constraint_id))
                self.gen.newline()

    def available_compilers(self):
        """Facts about available compilers."""

        self.gen.h2("Available compilers")
        compilers = self.possible_compilers

        compiler_versions = collections.defaultdict(lambda: set())
        for compiler in compilers:
            compiler_versions[compiler.name].add(compiler.version)

        for compiler in sorted(compiler_versions):
            for v in sorted(compiler_versions[compiler]):
                self.gen.fact(fn.compiler_version(compiler, v))

            self.gen.newline()

    def compiler_defaults(self):
        """Set compiler defaults, given a list of possible compilers."""
        self.gen.h2("Default compiler preferences")

        compiler_list = self.possible_compilers.copy()
        compiler_list = sorted(
            compiler_list, key=lambda x: (x.name, x.version), reverse=True)
        ppk = spack.package_prefs.PackagePrefs("all", 'compiler', all=False)
        matches = sorted(compiler_list, key=ppk)

        for i, cspec in enumerate(matches):
            f = fn.default_compiler_preference(cspec.name, cspec.version, i)
            self.gen.fact(f)

        # Enumerate target families. This may be redundant, but compilers with
        # custom versions will be able to concretize properly.
        for entry in spack.compilers.all_compilers_config():
            compiler_entry = entry['compiler']
            cspec = spack.spec.CompilerSpec(compiler_entry['spec'])
            if not compiler_entry.get('target', None):
                continue

            self.gen.fact(fn.compiler_supports_target(
                cspec.name, cspec.version, compiler_entry['target']
            ))

    def compiler_supports_os(self):
        compilers_yaml = spack.compilers.all_compilers_config()
        for entry in compilers_yaml:
            c = spack.spec.CompilerSpec(entry['compiler']['spec'])
            operating_system = entry['compiler']['operating_system']
            self.gen.fact(fn.compiler_supports_os(
                c.name, c.version, operating_system
            ))

    def package_compiler_defaults(self, pkg):
        """Facts about packages' compiler prefs."""

        packages = spack.config.get("packages")
        pkg_prefs = packages.get(pkg.name)
        if not pkg_prefs or "compiler" not in pkg_prefs:
            return

        compiler_list = self.possible_compilers.copy()
        compiler_list = sorted(
            compiler_list, key=lambda x: (x.name, x.version), reverse=True)
        ppk = spack.package_prefs.PackagePrefs(pkg.name, 'compiler', all=False)
        matches = sorted(compiler_list, key=ppk)

        for i, cspec in enumerate(reversed(matches)):
            self.gen.fact(fn.node_compiler_preference(
                pkg.name, cspec.name, cspec.version, -i * 100
            ))

    def pkg_rules(self, pkg, tests):
        pkg = packagize(pkg)

        # versions
        self.pkg_version_rules(pkg)
        self.gen.newline()

        # variants
        for name, variant in sorted(pkg.variants.items()):
            self.gen.fact(fn.variant(pkg.name, name))

            single_value = not variant.multi
            if single_value:
                self.gen.fact(fn.variant_single_value(pkg.name, name))
                self.gen.fact(
                    fn.variant_default_value_from_package_py(
                        pkg.name, name, variant.default)
                )
            else:
                spec_variant = variant.make_default()
                defaults = spec_variant.value
                for val in sorted(defaults):
                    self.gen.fact(
                        fn.variant_default_value_from_package_py(
                            pkg.name, name, val)
                    )

            values = variant.values
            if values is None:
                values = []
            elif isinstance(values, spack.variant.DisjointSetsOfValues):
                union = set()
                # Encode the disjoint sets in the logic program
                for sid, s in enumerate(values.sets):
                    for value in s:
                        self.gen.fact(fn.variant_value_from_disjoint_sets(
                            pkg.name, name, value, sid
                        ))
                    union.update(s)
                values = union

            # make sure that every variant has at least one possible value
            if not values:
                values = [variant.default]

            for value in sorted(values):
                self.gen.fact(fn.variant_possible_value(pkg.name, name, value))

            self.gen.newline()

        # conflicts
        self.conflict_rules(pkg)

        # default compilers for this package
        self.package_compiler_defaults(pkg)

        # virtuals
        self.package_provider_rules(pkg)

        # dependencies
        self.package_dependencies_rules(pkg, tests)

        # virtual preferences
        self.virtual_preferences(
            pkg.name,
            lambda v, p, i: self.gen.fact(
                fn.pkg_provider_preference(pkg.name, v, p, i)
            )
        )

    def condition(self, required_spec, imposed_spec=None, name=None):
        """Generate facts for a dependency or virtual provider condition.

        Arguments:
            required_spec (spack.spec.Spec): the spec that triggers this condition
            imposed_spec (spack.spec.Spec or None): the sepc with constraints that
                are imposed when this condition is triggered
            name (str or None): name for `required_spec` (required if
                required_spec is anonymous, ignored if not)

        Returns:
            int: id of the condition created by this function
        """
        named_cond = required_spec.copy()
        named_cond.name = named_cond.name or name
        assert named_cond.name, "must provide name for anonymous condtions!"

        condition_id = next(self._condition_id_counter)
        self.gen.fact(fn.condition(condition_id))

        # requirements trigger the condition
        requirements = self.checked_spec_clauses(
            named_cond, body=True, required_from=name)
        for pred in requirements:
            self.gen.fact(
                fn.condition_requirement(condition_id, pred.name, *pred.args)
            )

        if imposed_spec:
            imposed_constraints = self.checked_spec_clauses(
                imposed_spec, body=False, required_from=name)
            for pred in imposed_constraints:
                # imposed "node"-like conditions are no-ops
                if pred.name in ("node", "virtual_node"):
                    continue
                self.gen.fact(
                    fn.imposed_constraint(condition_id, pred.name, *pred.args)
                )

        return condition_id

    def package_provider_rules(self, pkg):
        for provider_name in sorted(set(s.name for s in pkg.provided.keys())):
            self.gen.fact(fn.possible_provider(pkg.name, provider_name))

        for provided, whens in pkg.provided.items():
            for when in whens:
                condition_id = self.condition(when, provided, pkg.name)
                self.gen.fact(fn.provider_condition(
                    condition_id, when.name, provided.name
                ))
            self.gen.newline()

    def package_dependencies_rules(self, pkg, tests):
        """Translate 'depends_on' directives into ASP logic."""
        for _, conditions in sorted(pkg.dependencies.items()):
            for cond, dep in sorted(conditions.items()):
                deptypes = dep.type.copy()
                # Skip test dependencies if they're not requested
                if not tests:
                    deptypes.discard("test")

                # ... or if they are requested only for certain packages
                if not isinstance(tests, bool) and pkg.name not in tests:
                    deptypes.discard("test")

                # if there are no dependency types to be considered
                # anymore, don't generate the dependency
                if not deptypes:
                    continue

                condition_id = self.condition(cond, dep.spec, pkg.name)
                self.gen.fact(fn.dependency_condition(
                    condition_id, pkg.name, dep.spec.name
                ))

                for t in sorted(deptypes):
                    # there is a declared dependency of type t
                    self.gen.fact(fn.dependency_type(condition_id, t))

                self.gen.newline()

    def virtual_preferences(self, pkg_name, func):
        """Call func(vspec, provider, i) for each of pkg's provider prefs."""
        config = spack.config.get("packages")
        pkg_prefs = config.get(pkg_name, {}).get("providers", {})
        for vspec, providers in pkg_prefs.items():
            if vspec not in self.possible_virtuals:
                continue

            for i, provider in enumerate(providers):
                provider_name = spack.spec.Spec(provider).name
                func(vspec, provider_name, i + 10)

    def provider_defaults(self):
        self.gen.h2("Default virtual providers")
        assert self.possible_virtuals is not None
        self.virtual_preferences(
            "all",
            lambda v, p, i: self.gen.fact(
                fn.default_provider_preference(v, p, i))
        )

    def external_packages(self):
        """Facts on external packages, as read from packages.yaml"""
        # Read packages.yaml and normalize it, so that it
        # will not contain entries referring to virtual
        # packages.
        packages_yaml = spack.config.get("packages")
        packages_yaml = _normalize_packages_yaml(packages_yaml)

        self.gen.h1('External packages')
        for pkg_name, data in packages_yaml.items():
            if pkg_name == 'all':
                continue

            # This package does not appear in any repository
            if pkg_name not in spack.repo.path:
                continue

            self.gen.h2('External package: {0}'.format(pkg_name))
            # Check if the external package is buildable. If it is
            # not then "external(<pkg>)" is a fact.
            external_buildable = data.get('buildable', True)
            if not external_buildable:
                self.gen.fact(fn.external_only(pkg_name))

            # Read a list of all the specs for this package
            externals = data.get('externals', [])
            external_specs = [spack.spec.Spec(x['spec']) for x in externals]

            # Compute versions with appropriate weights. This accounts for the
            # fact that we should prefer more recent versions, but specs in
            # packages.yaml may not be ordered in that sense.
            external_versions = [
                (x.version, local_idx)
                for local_idx, x in enumerate(external_specs)
            ]
            external_versions = [
                (v, -(w + 1), local_idx)
                for w, (v, local_idx) in enumerate(sorted(external_versions))
            ]
            for version, weight, id in external_versions:
                self.gen.fact(fn.external_version_declared(
                    pkg_name, str(version), weight, id
                ))

            # Declare external conditions with a local index into packages.yaml
            for local_idx, spec in enumerate(external_specs):
                condition_id = self.condition(spec)
                self.gen.fact(
                    fn.possible_external(condition_id, pkg_name, local_idx)
                )
                self.versions_from_externals[spec.name].add(spec.version)
                self.possible_versions[spec.name].add(spec.version)
                self.gen.newline()

    def preferred_variants(self, pkg_name):
        """Facts on concretization preferences, as read from packages.yaml"""
        preferences = spack.package_prefs.PackagePrefs
        preferred_variants = preferences.preferred_variants(pkg_name)
        if not preferred_variants:
            return

        for variant_name in sorted(preferred_variants):
            variant = preferred_variants[variant_name]
            values = variant.value

            if not isinstance(values, tuple):
                values = (values,)

            # perform validation of the variant and values
            spec = spack.spec.Spec(pkg_name)
            spec.update_variant_validate(variant_name, values)

            for value in values:
                self.variant_values_from_specs.add(
                    (pkg_name, variant.name, value)
                )
                self.gen.fact(fn.variant_default_value_from_packages_yaml(
                    pkg_name, variant.name, value
                ))

    def preferred_targets(self, pkg_name):
        key_fn = spack.package_prefs.PackagePrefs(pkg_name, 'target')

        if not self.target_specs_cache:
            self.target_specs_cache = [
                spack.spec.Spec('target={0}'.format(target_name))
                for target_name in archspec.cpu.TARGETS
            ]

        target_specs = self.target_specs_cache
        preferred_targets = [x for x in target_specs if key_fn(x) < 0]
        if not preferred_targets:
            return

        preferred = preferred_targets[0]
        self.gen.fact(fn.package_target_weight(
            str(preferred.architecture.target), pkg_name, -30
        ))

    def preferred_versions(self, pkg_name):
        packages_yaml = spack.config.get('packages')
        versions = packages_yaml.get(pkg_name, {}).get('version', [])
        if not versions:
            return

        for idx, version in enumerate(reversed(versions)):
            self.gen.fact(
                fn.preferred_version_declared(pkg_name, version, -(idx + 1))
            )

    def flag_defaults(self):
        self.gen.h2("Compiler flag defaults")

        # types of flags that can be on specs
        for flag in spack.spec.FlagMap.valid_compiler_flags():
            self.gen.fact(fn.flag_type(flag))
        self.gen.newline()

        # flags from compilers.yaml
        compilers = all_compilers_in_config()
        for compiler in compilers:
            for name, flags in compiler.flags.items():
                for flag in flags:
                    self.gen.fact(fn.compiler_version_flag(
                        compiler.name, compiler.version, name, flag))

    def checked_spec_clauses(self, *args, **kwargs):
        """Wrap a call to spec clauses into a try/except block that raise
        a comprehensible error message in case of failure.
        """
        requestor = kwargs.pop('required_from', None)
        try:
            clauses = self.spec_clauses(*args, **kwargs)
        except RuntimeError as exc:
            msg = str(exc)
            if requestor:
                msg += ' [required from package "{0}"]'.format(requestor)
            raise RuntimeError(msg)
        return clauses

    def spec_clauses(self, spec, body=False, transitive=True):
        """Return a list of clauses for a spec mandates are true.

        Arguments:
            spec (spack.spec.Spec): the spec to analyze
            body (bool): if True, generate clauses to be used in rule bodies
                (final values) instead of rule heads (setters).
            transitive (bool): if False, don't generate clauses from
                 dependencies (default True)
        """
        clauses = []

        # TODO: do this with consistent suffixes.
        class Head(object):
            node = fn.node
            virtual_node = fn.virtual_node
            node_platform = fn.node_platform_set
            node_os = fn.node_os_set
            node_target = fn.node_target_set
            variant_value = fn.variant_set
            node_compiler = fn.node_compiler_set
            node_compiler_version = fn.node_compiler_version_set
            node_flag = fn.node_flag_set

        class Body(object):
            node = fn.node
            virtual_node = fn.virtual_node
            node_platform = fn.node_platform
            node_os = fn.node_os
            node_target = fn.node_target
            variant_value = fn.variant_value
            node_compiler = fn.node_compiler
            node_compiler_version = fn.node_compiler_version
            node_flag = fn.node_flag

        f = Body if body else Head

        if spec.name:
            clauses.append(
                f.node(spec.name) if not spec.virtual
                else f.virtual_node(spec.name))

        clauses.extend(self.spec_versions(spec))

        # seed architecture at the root (we'll propagate later)
        # TODO: use better semantics.
        arch = spec.architecture
        if arch:
            if arch.platform:
                clauses.append(f.node_platform(spec.name, arch.platform))
            if arch.os:
                clauses.append(f.node_os(spec.name, arch.os))
            if arch.target:
                clauses.extend(self.target_ranges(spec, f.node_target))

        # variants
        for vname, variant in sorted(spec.variants.items()):
            values = variant.value
            if not isinstance(values, (list, tuple)):
                values = [values]

            for value in values:
                # * is meaningless for concretization -- just for matching
                if value == '*':
                    continue

                # validate variant value only if spec not concrete
                if not spec.concrete:
                    reserved_names = spack.directives.reserved_names
                    if not spec.virtual and vname not in reserved_names:
                        try:
                            variant_def = spec.package.variants[vname]
                        except KeyError:
                            msg = 'variant "{0}" not found in package "{1}"'
                            raise RuntimeError(msg.format(vname, spec.name))
                        else:
                            variant_def.validate_or_raise(variant, spec.package)

                clauses.append(f.variant_value(spec.name, vname, value))

                # Tell the concretizer that this is a possible value for the
                # variant, to account for things like int/str values where we
                # can't enumerate the valid values
                self.variant_values_from_specs.add((spec.name, vname, value))

        # compiler and compiler version
        if spec.compiler:
            clauses.append(f.node_compiler(spec.name, spec.compiler.name))

            if spec.compiler.concrete:
                clauses.append(f.node_compiler_version(
                    spec.name, spec.compiler.name, spec.compiler.version))

            elif spec.compiler.versions:
                clauses.append(
                    fn.node_compiler_version_satisfies(
                        spec.name, spec.compiler.name, spec.compiler.versions))
                self.compiler_version_constraints.add(
                    (spec.name, spec.compiler))

        # compiler flags
        for flag_type, flags in spec.compiler_flags.items():
            for flag in flags:
                clauses.append(f.node_flag(spec.name, flag_type, flag))

        # dependencies
        if spec.concrete:
            clauses.append(fn.concrete(spec.name))
            # TODO: add concrete depends_on() facts for concrete dependencies

        # add all clauses from dependencies
        if transitive:
            for dep in spec.traverse(root=False):
                clauses.extend(self.spec_clauses(dep, body, transitive=False))

        return clauses

    def build_version_dict(self, possible_pkgs, specs):
        """Declare any versions in specs not declared in packages."""
        self.possible_versions = collections.defaultdict(set)
        self.versions_in_package_py = collections.defaultdict(set)
        self.versions_from_externals = collections.defaultdict(set)
        self.deprecated_versions = collections.defaultdict(set)

        for pkg_name in possible_pkgs:
            pkg = spack.repo.get(pkg_name)
            for v, version_info in pkg.versions.items():
                self.versions_in_package_py[pkg_name].add(v)
                self.possible_versions[pkg_name].add(v)
                deprecated = version_info.get('deprecated', False)
                if deprecated:
                    self.deprecated_versions[pkg_name].add(v)

        for spec in specs:
            for dep in spec.traverse():
                if dep.versions.concrete:
                    self.possible_versions[dep.name].add(dep.version)

    def _supported_targets(self, compiler_name, compiler_version, targets):
        """Get a list of which targets are supported by the compiler.

        Results are ordered most to least recent.
        """
        supported = []

        for target in targets:
            try:
                with warnings.catch_warnings():
                    warnings.simplefilter("ignore")
                    target.optimization_flags(compiler_name, compiler_version)
                supported.append(target)
            except archspec.cpu.UnsupportedMicroarchitecture:
                continue
            except ValueError:
                continue

        return sorted(supported, reverse=True)

    def platform_defaults(self):
        self.gen.h2('Default platform')
        platform = spack.architecture.platform()
        self.gen.fact(fn.node_platform_default(platform))

    def os_defaults(self, specs):
        self.gen.h2('Possible operating systems')
        platform = spack.architecture.platform()

        # create set of OS's to consider
        possible = set([
            platform.front_os, platform.back_os, platform.default_os])
        for spec in specs:
            if spec.architecture and spec.architecture.os:
                possible.add(spec.architecture.os)

        # make directives for possible OS's
        for possible_os in sorted(possible):
            self.gen.fact(fn.os(possible_os))

        # mark this one as default
        self.gen.fact(fn.node_os_default(platform.default_os))

    def target_defaults(self, specs):
        """Add facts about targets and target compatibility."""
        self.gen.h2('Default target')

        platform = spack.architecture.platform()
        uarch = archspec.cpu.TARGETS.get(platform.default)

        self.gen.h2('Target compatibility')

        compatible_targets = [uarch] + uarch.ancestors
        additional_targets_in_family = sorted([
            t for t in archspec.cpu.TARGETS.values()
            if (t.family.name == uarch.family.name and
                t not in compatible_targets)
        ], key=lambda x: len(x.ancestors), reverse=True)
        compatible_targets += additional_targets_in_family
        compilers = self.possible_compilers

        # this loop can be used to limit the number of targets
        # considered. Right now we consider them all, but it seems that
        # many targets can make things slow.
        # TODO: investigate this.
        best_targets = set([uarch.family.name])
        for compiler in sorted(compilers):
            supported = self._supported_targets(
                compiler.name, compiler.version, compatible_targets
            )

            # If we can't find supported targets it may be due to custom
            # versions in the spec, e.g. gcc@foo. Try to match the
            # real_version from the compiler object to get more accurate
            # results.
            if not supported:
                compiler_obj = spack.compilers.compilers_for_spec(compiler)
                compiler_obj = compiler_obj[0]
                supported = self._supported_targets(
                    compiler.name,
                    compiler_obj.real_version,
                    compatible_targets
                )

            if not supported:
                continue

            for target in supported:
                best_targets.add(target.name)
                self.gen.fact(fn.compiler_supports_target(
                    compiler.name, compiler.version, target.name))
                self.gen.fact(fn.compiler_supports_target(
                    compiler.name, compiler.version, uarch.family.name))

        # add any targets explicitly mentioned in specs
        for spec in specs:
            if not spec.architecture or not spec.architecture.target:
                continue

            target = archspec.cpu.TARGETS.get(spec.target.name)
            if not target:
                self.target_ranges(spec, None)
                continue

            if target not in compatible_targets:
                compatible_targets.append(target)

        i = 0
        for target in compatible_targets:
            self.gen.fact(fn.target(target.name))
            self.gen.fact(fn.target_family(target.name, target.family.name))
            for parent in sorted(target.parents):
                self.gen.fact(fn.target_parent(target.name, parent.name))

            # prefer best possible targets; weight others poorly so
            # they're not used unless set explicitly
            if target.name in best_targets:
                self.gen.fact(fn.default_target_weight(target.name, i))
                i += 1
            else:
                self.gen.fact(fn.default_target_weight(target.name, 100))

            self.gen.newline()

    def virtual_providers(self):
        self.gen.h2("Virtual providers")
        assert self.possible_virtuals is not None

        # what provides what
        for vspec in sorted(self.possible_virtuals):
            self.gen.fact(fn.virtual(vspec))
        self.gen.newline()

    def generate_possible_compilers(self, specs):
        compilers = all_compilers_in_config()
        cspecs = set([c.spec for c in compilers])

        # add compiler specs from the input line to possibilities if we
        # don't require compilers to exist.
        strict = spack.concretize.Concretizer().check_for_compiler_existence
        for spec in specs:
            for s in spec.traverse():
                if not s.compiler or not s.compiler.concrete:
                    continue

                if strict and s.compiler not in cspecs:
                    raise spack.concretize.UnavailableCompilerVersionError(
                        s.compiler
                    )
                else:
                    cspecs.add(s.compiler)
                    self.gen.fact(fn.allow_compiler(
                        s.compiler.name, s.compiler.version
                    ))

        return cspecs

    def define_version_constraints(self):
        """Define what version_satisfies(...) means in ASP logic."""
        for pkg_name, versions in sorted(self.version_constraints):
            # version must be *one* of the ones the spec allows.
            allowed_versions = [
                v for v in sorted(self.possible_versions[pkg_name])
                if v.satisfies(versions)
            ]

            # This is needed to account for a variable number of
            # numbers e.g. if both 1.0 and 1.0.2 are possible versions
            exact_match = [v for v in allowed_versions if v == versions]
            if exact_match:
                allowed_versions = exact_match

            # generate facts for each package constraint and the version
            # that satisfies it
            for v in allowed_versions:
                self.gen.fact(fn.version_satisfies(pkg_name, versions, v))

            self.gen.newline()

    def define_virtual_constraints(self):
        """Define versions for constraints on virtuals.

        Must be called before define_version_constraints().
        """
        # aggregate constraints into per-virtual sets
        constraint_map = collections.defaultdict(lambda: set())
        for pkg_name, versions in self.version_constraints:
            if not spack.repo.path.is_virtual(pkg_name):
                continue
            constraint_map[pkg_name].add(versions)

        # extract all the real versions mentioned in version ranges
        def versions_for(v):
            if isinstance(v, spack.version.Version):
                return [v]
            elif isinstance(v, spack.version.VersionRange):
                result = [v.start] if v.start else []
                result += [v.end] if v.end else []
                return result
            elif isinstance(v, spack.version.VersionList):
                return sum((versions_for(e) for e in v), [])
            else:
                raise TypeError("expected version type, found: %s" % type(v))

        # define a set of synthetic possible versions for virtuals, so
        # that `version_satisfies(Package, Constraint, Version)` has the
        # same semantics for virtuals as for regular packages.
        for pkg_name, versions in sorted(constraint_map.items()):
            possible_versions = set(
                sum([versions_for(v) for v in versions], [])
            )
            for version in sorted(possible_versions):
                self.possible_versions[pkg_name].add(version)

    def define_compiler_version_constraints(self):
        compiler_list = spack.compilers.all_compiler_specs()
        compiler_list = list(sorted(set(compiler_list)))

        for pkg_name, cspec in self.compiler_version_constraints:
            for compiler in compiler_list:
                if compiler.satisfies(cspec):
                    self.gen.fact(
                        fn.node_compiler_version_satisfies(
                            pkg_name,
                            cspec.name,
                            cspec.versions,
                            compiler.version
                        )
                    )
        self.gen.newline()

    def define_target_constraints(self):

        def _all_targets_satisfiying(single_constraint):
            allowed_targets = []

            if ':' not in single_constraint:
                return [single_constraint]

            t_min, _, t_max = single_constraint.partition(':')
            for test_target in archspec.cpu.TARGETS.values():
                # Check lower bound
                if t_min and not t_min <= test_target:
                    continue

                # Check upper bound
                if t_max and not t_max >= test_target:
                    continue

                allowed_targets.append(test_target)
            return allowed_targets

        cache = {}
        for spec_name, target_constraint in sorted(self.target_constraints):

            # Construct the list of allowed targets for this constraint
            allowed_targets = []
            for single_constraint in str(target_constraint).split(','):
                if single_constraint not in cache:
                    cache[single_constraint] = _all_targets_satisfiying(
                        single_constraint
                    )
                allowed_targets.extend(cache[single_constraint])

            for target in allowed_targets:
                self.gen.fact(
                    fn.node_target_satisfies(
                        spec_name, target_constraint, target
                    )
                )
            self.gen.newline()

    def define_variant_values(self):
        """Validate variant values from the command line.

        Also add valid variant values from the command line to the
        possible values for a variant.

        """
        # Tell the concretizer about possible values from specs we saw in
        # spec_clauses()
        for pkg, variant, value in sorted(self.variant_values_from_specs):
            self.gen.fact(fn.variant_possible_value(pkg, variant, value))

    def setup(self, driver, specs, tests=False):
        """Generate an ASP program with relevant constraints for specs.

        This calls methods on the solve driver to set up the problem with
        facts and rules from all possible dependencies of the input
        specs, as well as constraints from the specs themselves.

        Arguments:
            specs (list): list of Specs to solve

        """
        self._condition_id_counter = itertools.count()

        # preliminary checks
        check_packages_exist(specs)

        # get list of all possible dependencies
        self.possible_virtuals = set(
            x.name for x in specs if x.virtual
        )
        possible = spack.package.possible_dependencies(
            *specs,
            virtuals=self.possible_virtuals,
            deptype=spack.dependency.all_deptypes
        )
        pkgs = set(possible)

        # driver is used by all the functions below to add facts and
        # rules to generate an ASP program.
        self.gen = driver

        # get possible compilers
        self.possible_compilers = self.generate_possible_compilers(specs)

        # traverse all specs and packages to build dict of possible versions
        self.build_version_dict(possible, specs)

        self.gen.h1('General Constraints')
        self.available_compilers()
        self.compiler_defaults()
        self.compiler_supports_os()

        # architecture defaults
        self.platform_defaults()
        self.os_defaults(specs)
        self.target_defaults(specs)

        self.virtual_providers()
        self.provider_defaults()
        self.external_packages()
        self.flag_defaults()

        self.gen.h1('Package Constraints')
        for pkg in sorted(pkgs):
            self.gen.h2('Package rules: %s' % pkg)
            self.pkg_rules(pkg, tests=tests)
            self.gen.h2('Package preferences: %s' % pkg)
            self.preferred_variants(pkg)
            self.preferred_targets(pkg)
            self.preferred_versions(pkg)

        # Inject dev_path from environment
        env = spack.environment.get_env(None, None)
        if env:
            for spec in sorted(specs):
                for dep in spec.traverse():
                    _develop_specs_from_env(dep, env)

        self.gen.h1('Spec Constraints')
        for spec in sorted(specs):
            self.gen.h2('Spec: %s' % str(spec))
            self.gen.fact(
                fn.virtual_root(spec.name) if spec.virtual
                else fn.root(spec.name)
            )
            for clause in self.spec_clauses(spec):
                self.gen.fact(clause)
                if clause.name == 'variant_set':
                    self.gen.fact(fn.variant_default_value_from_cli(
                        *clause.args
                    ))
        self.gen.h1("Variant Values defined in specs")
        self.define_variant_values()

        self.gen.h1("Virtual Constraints")
        self.define_virtual_constraints()

        self.gen.h1("Version Constraints")
        self.define_version_constraints()

        self.gen.h1("Compiler Version Constraints")
        self.define_compiler_version_constraints()

        self.gen.h1("Target Constraints")
        self.define_target_constraints()


class SpecBuilder(object):
    """Class with actions to rebuild a spec from ASP results."""
    def __init__(self, specs):
        self._result = None
        self._command_line_specs = specs
        self._flag_sources = collections.defaultdict(lambda: set())
        self._flag_compiler_defaults = set()

    def node(self, pkg):
        if pkg not in self._specs:
            self._specs[pkg] = spack.spec.Spec(pkg)

    def _arch(self, pkg):
        arch = self._specs[pkg].architecture
        if not arch:
            arch = spack.spec.ArchSpec()
            self._specs[pkg].architecture = arch
        return arch

    def node_platform(self, pkg, platform):
        self._arch(pkg).platform = platform

    def node_os(self, pkg, os):
        self._arch(pkg).os = os

    def node_target(self, pkg, target):
        self._arch(pkg).target = target

    def variant_value(self, pkg, name, value):
        # FIXME: is there a way not to special case 'dev_path' everywhere?
        if name == 'dev_path':
            self._specs[pkg].variants.setdefault(
                name,
                spack.variant.SingleValuedVariant(name, value)
            )
            return

        if name == 'patches':
            self._specs[pkg].variants.setdefault(
                name,
                spack.variant.MultiValuedVariant(name, value)
            )
            return

        self._specs[pkg].update_variant_validate(name, value)

    def version(self, pkg, version):
        self._specs[pkg].versions = spack.version.ver([version])

    def node_compiler(self, pkg, compiler):
        self._specs[pkg].compiler = spack.spec.CompilerSpec(compiler)

    def node_compiler_version(self, pkg, compiler, version):
        self._specs[pkg].compiler.versions = spack.version.VersionList(
            [version])

    def node_flag_compiler_default(self, pkg):
        self._flag_compiler_defaults.add(pkg)

    def node_flag(self, pkg, flag_type, flag):
        self._specs[pkg].compiler_flags.setdefault(flag_type, []).append(flag)

    def node_flag_source(self, pkg, source):
        self._flag_sources[pkg].add(source)

    def no_flags(self, pkg, flag_type):
        self._specs[pkg].compiler_flags[flag_type] = []

    def external_spec_selected(self, pkg, idx):
        """This means that the external spec and index idx
        has been selected for this package.
        """
        packages_yaml = spack.config.get('packages')
        packages_yaml = _normalize_packages_yaml(packages_yaml)
        spec_info = packages_yaml[pkg]['externals'][int(idx)]
        self._specs[pkg].external_path = spec_info.get('prefix', None)
        self._specs[pkg].external_modules = (
            spack.spec.Spec._format_module_list(spec_info.get('modules', None))
        )
        self._specs[pkg].extra_attributes = spec_info.get(
            'extra_attributes', {}
        )

    def depends_on(self, pkg, dep, type):
        dependency = self._specs[pkg]._dependencies.get(dep)
        if not dependency:
            self._specs[pkg]._add_dependency(
                self._specs[dep], (type,))
        else:
            dependency.add_type(type)

    def reorder_flags(self):
        """Order compiler flags on specs in predefined order.

        We order flags so that any node's flags will take priority over
        those of its dependents.  That is, the deepest node in the DAG's
        flags will appear last on the compile line, in the order they
        were specified.

        The solver determines wihch flags are on nodes; this routine
        imposes order afterwards.
        """
        # nodes with no flags get flag order from compiler
        compilers = dict((c.spec, c) for c in all_compilers_in_config())
        for pkg in self._flag_compiler_defaults:
            spec = self._specs[pkg]
            compiler_flags = compilers[spec.compiler].flags
            check_same_flags(spec.compiler_flags, compiler_flags)
            spec.compiler_flags.update(compiler_flags)

        # index of all specs (and deps) from the command line by name
        cmd_specs = dict(
            (s.name, s)
            for spec in self._command_line_specs
            for s in spec.traverse())

        # iterate through specs with specified flags
        for pkg, sources in self._flag_sources.items():
            spec = self._specs[pkg]

            # order is determined by the DAG.  A spec's flags come after
            # any from its ancestors on the compile line.
            order = [
                s.name
                for s in spec.traverse(order='post', direction='parents')]

            # sort the sources in our DAG order
            sorted_sources = sorted(
                sources, key=lambda s: order.index(s))

            # add flags from each source, lowest to highest precedence
            flags = collections.defaultdict(lambda: [])
            for source_name in sorted_sources:
                source = cmd_specs[source_name]
                for name, flag_list in source.compiler_flags.items():
                    extend_flag_list(flags[name], flag_list)

            check_same_flags(spec.compiler_flags, flags)
            spec.compiler_flags.update(flags)

    def deprecated(self, pkg, version):
        msg = 'using "{0}@{1}" which is a deprecated version'
        tty.warn(msg.format(pkg, version))

    def build_specs(self, function_tuples):
        # Functions don't seem to be in particular order in output.  Sort
        # them here so that directives that build objects (like node and
        # node_compiler) are called in the right order.
        function_tuples.sort(key=lambda f: {
            "node": -2,
            "node_compiler": -1,
        }.get(f[0], 0))

        self._specs = {}
        for name, args in function_tuples:
            action = getattr(self, name, None)

            # print out unknown actions so we can display them for debugging
            if not action:
                msg = "%s(%s)" % (name, ", ".join(str(a) for a in args))
                tty.debug(msg)
                continue

            assert action and callable(action)

            # ignore predicates on virtual packages, as they're used for
            # solving but don't construct anything
            pkg = args[0]
            if spack.repo.path.is_virtual(pkg):
                continue

            action(*args)

        # namespace assignment is done after the fact, as it is not
        # currently part of the solve
        for spec in self._specs.values():
            repo = spack.repo.path.repo_for_pkg(spec)
            spec.namespace = repo.namespace

        # fix flags after all specs are constructed
        self.reorder_flags()

        # inject patches -- note that we' can't use set() to unique the
        # roots here, because the specs aren't complete, and the hash
        # function will loop forever.
        roots = [spec.root for spec in self._specs.values()]
        roots = dict((id(r), r) for r in roots)
        for root in roots.values():
            spack.spec.Spec.inject_patches_variant(root)

        # Add external paths to specs with just external modules
        for s in self._specs.values():
            spack.spec.Spec.ensure_external_path_if_external(s)

        env = spack.environment.get_env(None, None)
        for s in self._specs.values():
            _develop_specs_from_env(s, env)

        for s in self._specs.values():
            s._mark_concrete()

        for s in self._specs.values():
            spack.spec.Spec.ensure_no_deprecated(s)

        return self._specs


def _develop_specs_from_env(spec, env):
    dev_info = env.dev_specs.get(spec.name, {}) if env else {}
    if not dev_info:
        return

    path = os.path.normpath(os.path.join(env.path, dev_info['path']))

    if 'dev_path' in spec.variants:
        assert spec.variants['dev_path'].value == path
    else:
        spec.variants.setdefault(
            'dev_path', spack.variant.SingleValuedVariant('dev_path', path)
        )
    spec.constrain(dev_info['spec'])


#
# These are handwritten parts for the Spack ASP model.
#
def solve(specs, dump=(), models=0, timers=False, stats=False, tests=False):
    """Solve for a stable model of specs.

    Arguments:
        specs (list): list of Specs to solve.
        dump (tuple): what to dump
        models (int): number of models to search (default: 0)
    """
    driver = PyclingoDriver()
    if "asp" in dump:
        driver.out = sys.stdout

    # Check upfront that the variants are admissible
    for root in specs:
        for s in root.traverse():
            if s.virtual:
                continue
            spack.spec.Spec.ensure_valid_variants(s)

    setup = SpackSolverSetup()
    return driver.solve(setup, specs, dump, models, timers, stats, tests)