This file is indexed.

/usr/include/gecode/set.hh is in libgecode-dev 4.4.0-5.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

   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
/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
 *  Main authors:
 *     Guido Tack <tack@gecode.org>
 *     Christian Schulte <schulte@gecode.org>
 *
 *  Contributing authors:
 *     Gabor Szokoli <szokoli@gecode.org>
 *
 *  Copyright:
 *     Guido Tack, 2004
 *     Christian Schulte, 2004
 *     Gabor Szokoli, 2004
 *
 *  Last modified:
 *     $Date: 2014-04-28 20:54:50 +0200 (Mon, 28 Apr 2014) $ by $Author: schulte $
 *     $Revision: 14116 $
 *
 *  This file is part of Gecode, the generic constraint
 *  development environment:
 *     http://www.gecode.org
 *
 *  Permission is hereby granted, free of charge, to any person obtaining
 *  a copy of this software and associated documentation files (the
 *  "Software"), to deal in the Software without restriction, including
 *  without limitation the rights to use, copy, modify, merge, publish,
 *  distribute, sublicense, and/or sell copies of the Software, and to
 *  permit persons to whom the Software is furnished to do so, subject to
 *  the following conditions:
 *
 *  The above copyright notice and this permission notice shall be
 *  included in all copies or substantial portions of the Software.
 *
 *  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
 *  EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 *  MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
 *  NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
 *  LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
 *  OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
 *  WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 *
 */

#ifndef __GECODE_SET_HH__
#define __GECODE_SET_HH__

#include <gecode/kernel.hh>
#include <gecode/int.hh>
#include <gecode/iter.hh>

/*
 * Configure linking
 *
 */
#if !defined(GECODE_STATIC_LIBS) && \
    (defined(__CYGWIN__) || defined(__MINGW32__) || defined(_MSC_VER))

#ifdef GECODE_BUILD_SET
#define GECODE_SET_EXPORT __declspec( dllexport )
#else
#define GECODE_SET_EXPORT __declspec( dllimport )
#endif

#else

#ifdef GECODE_GCC_HAS_CLASS_VISIBILITY
#define GECODE_SET_EXPORT __attribute__ ((visibility("default")))
#else
#define GECODE_SET_EXPORT
#endif

#endif

// Configure auto-linking
#ifndef GECODE_BUILD_SET
#define GECODE_LIBRARY_NAME "Set"
#include <gecode/support/auto-link.hpp>
#endif


/**
 * \namespace Gecode::Set
 * \brief Finite integer sets
 *
 * The Gecode::Set namespace contains all functionality required
 * to program propagators and branchers for finite integer sets.
 * In addition, all propagators and branchers for finite integer
 * sets provided by %Gecode are contained as nested namespaces.
 *
 */

#include <gecode/set/exception.hpp>

namespace Gecode { namespace Set {

  /// Numerical limits for set variables
  namespace Limits {
    /// Largest allowed integer in integer set
    const int max = (Gecode::Int::Limits::max / 2) - 1;
    /// Smallest allowed integer in integer set
    const int min = -max;
    /// Maximum cardinality of an integer set
    const unsigned int card = max-min+1;
    /// Check whether integer \a n is in range, otherwise throw overflow exception with information \a l
    void check(int n, const char* l);
    /// Check whether unsigned int \a n is in range for cardinality, otherwise throw overflow exception with information \a l
    void check(unsigned int n, const char* l);
    /// Check whether minimum and maximum of IntSet \a s is in range, otherwise throw overflow exception with information \a l
    void check(const IntSet& s, const char* l);
  }

}}

#include <gecode/set/limits.hpp>

#include <gecode/set/var-imp.hpp>

namespace Gecode {

  namespace Set {
    class SetView;
  }

  /**
   * \brief %Set variables
   *
   * \ingroup TaskModelSetVars
   */
  class SetVar : public VarImpVar<Set::SetVarImp> {
    friend class SetVarArray;
    friend class SetVarArgs;
    using VarImpVar<Set::SetVarImp>::x;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVar(void);
    /// Initialize from set variable \a y
    SetVar(const SetVar& y);
    /// Initialize from set view \a y
    SetVar(const Set::SetView& y);

    /// Initialize variable with empty greatest lower and full least upper bound
    GECODE_SET_EXPORT SetVar(Space& home);

    /**
     * \brief Initialize variable with given bounds and cardinality
     *
     * The variable is created with
     * greatest lower bound \f$\{\mathit{glbMin},\dots,\mathit{glbMax}\}\f$,
     * least upper bound \f$\{\mathit{lubMin},\dots,\mathit{lubMax}\}\f$, and
     * cardinality minimum \a cardMin and maximum \a cardMax.
     * The following exceptions might be thrown:
     *  - If the bounds are no legal set bounds (between Set::Limits::min
     *    and Set::Limits::max), an exception of type
     *    Gecode::Set::OutOfLimits is thrown.
     *  - If the cardinality is greater than Set::Limits::max_set_size, an
     *    exception of type Gecode::Set::OutOfLimits is
     *    thrown.
     *  - If \a cardMin > \a cardMax, an exception of type
     *    Gecode::Set::VariableEmptyDomain is thrown.
     */
    GECODE_SET_EXPORT
    SetVar(Space& home,int glbMin,int glbMax,int lubMin,int lubMax,
           unsigned int cardMin = 0,
           unsigned int cardMax = Set::Limits::card);

    /**
     * \brief Initialize variable with given bounds and cardinality
     *
     * The variable is created with greatest lower bound \a glbD,
     * least upper bound \f$\{\mathit{lubMin},\dots,\mathit{lubMax}\}\f$, and
     * cardinality minimum \a cardMin and maximum \a cardMax.
     * The following exceptions might be thrown:
     *  - If the bounds are no legal set bounds (between Set::Limits::min
     *    and Set::Limits::max), an exception of type
     *    Gecode::Set::OutOfLimits is thrown.
     *  - If the cardinality is greater than Set::Limits::max_set_size, an
     *    exception of type Gecode::Set::OutOfLimits is
     *    thrown.
     *  - If \a cardMin > \a cardMax, an exception of type
     *    Gecode::Set::VariableEmptyDomain is thrown.
     */
    GECODE_SET_EXPORT
    SetVar(Space& home,const IntSet& glbD,int lubMin,int lubMax,
           unsigned int cardMin = 0,
           unsigned int cardMax = Set::Limits::card);

    /**
     * \brief Initialize variable with given bounds and cardinality
     *
     * The variable is created with
     * greatest lower bound \f$\{\mathit{glbMin},\dots,\mathit{glbMax}\}\f$,
     * least upper bound \a lubD, and
     * cardinality minimum \a cardMin and maximum \a cardMax.
     * The following exceptions might be thrown:
     *  - If the bounds are no legal set bounds (between Set::Limits::min
     *    and Set::Limits::max), an exception of type
     *    Gecode::Set::OutOfLimits is thrown.
     *  - If the cardinality is greater than Set::Limits::max_set_size, an
     *    exception of type Gecode::Set::OutOfLimits is
     *    thrown.
     *  - If \a minCard > \a maxCard, an exception of type
     *    Gecode::Set::VariableEmptyDomain is thrown.
     */
    GECODE_SET_EXPORT
    SetVar(Space& home,int glbMin,int glbMax,const IntSet& lubD,
           unsigned int cardMin = 0,
           unsigned int cardMax = Set::Limits::card);

    /**
     * \brief Initialize variable with given bounds and cardinality
     *
     * The variable is created with
     * greatest lower bound \a glbD,
     * least upper bound \a lubD, and
     * cardinality minimum \a cardMin and maximum \a cardMax.
     * The following exceptions might be thrown:
     *  - If the bounds are no legal set bounds (between Set::Limits::min
     *    and Set::Limits::max), an exception of type
     *    Gecode::Set::OutOfLimits is thrown.
     *  - If the cardinality is greater than Set::Limits::max_set_size, an
     *    exception of type Gecode::Set::OutOfLimits is
     *    thrown.
     *  - If \a minCard > \a maxCard, an exception of type
     *    Gecode::Set::VariableEmptyDomain is thrown.
     */
    GECODE_SET_EXPORT
    SetVar(Space& home,const IntSet& glbD,const IntSet& lubD,
           unsigned int cardMin = 0,
           unsigned int cardMax = Set::Limits::card);
    //@}

    /// \name Value access
    //@{
    /// Return number of elements in the greatest lower bound
    unsigned int glbSize(void) const;
    /// Return number of elements in the least upper bound
    unsigned int lubSize(void) const;
    /// Return number of unknown elements (elements in lub but not in glb)
    unsigned int unknownSize(void) const;
    /// Return cardinality minimum
    unsigned int cardMin(void) const;
    /// Return cardinality maximum
    unsigned int cardMax(void) const;
    /// Return minimum element of least upper bound
    int lubMin(void) const;
    /// Return maximum element of least upper bound
    int lubMax(void) const;
    /// Return minimum element of greatest lower bound
    int glbMin(void) const;
    /// Return maximum of greatest lower bound
    int glbMax(void) const;
    //@}

    /// \name Domain tests
    //@{
    /// Test whether \a i is in greatest lower bound
    bool contains(int i) const;
    /// Test whether \a i is not in the least upper bound
    bool notContains(int i) const;
    //@}
  };

  /**
   * \defgroup TaskModelSetIter Range and value iterators for set variables
   * \ingroup TaskModelSet
   */
  //@{

  /// Iterator for the greatest lower bound ranges of a set variable
  class SetVarGlbRanges {
  private:
    Set::GlbRanges<Set::SetVarImp*> iter;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVarGlbRanges(void);
    /// Initialize to iterate ranges of variable \a x
    SetVarGlbRanges(const SetVar& x);
    //@}

    /// \name Iteration control
    //@{
    /// Test whether iterator is still at a range or done
    bool operator ()(void) const;
    /// Move iterator to next range (if possible)
    void operator ++(void);
    //@}

    /// \name Range access
    //@{
    /// Return smallest value of range
    int min(void) const;
    /// Return largest value of range
    int max(void) const;
    /// Return width of range (distance between minimum and maximum)
    unsigned int width(void) const;
    //@}
  };

  /// Iterator for the least upper bound ranges of a set variable
  class SetVarLubRanges {
  private:
    Set::LubRanges<Set::SetVarImp*> iter;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVarLubRanges(void);
    /// Initialize to iterate ranges of variable \a x
    SetVarLubRanges(const SetVar& x);
    //@}

    /// \name Iteration control
    //@{
    /// Test whether iterator is still at a range or done
    bool operator ()(void) const;
    /// Move iterator to next range (if possible)
    void operator ++(void);
    //@}

    /// \name Range access
    //@{
    /// Return smallest value of range
    int min(void) const;
    /// Return largest value of range
    int max(void) const;
    /// Return width of range (distance between minimum and maximum)
    unsigned int width(void) const;
    //@}
  };

  /// Iterator for the unknown ranges of a set variable
  class SetVarUnknownRanges {
  private:
    Set::UnknownRanges<Set::SetVarImp*> iter;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVarUnknownRanges(void);
    /// Initialize to iterate ranges of variable \a x
    SetVarUnknownRanges(const SetVar& x);
    //@}

    /// \name Iteration control
    //@{
    /// Test whether iterator is still at a range or done
    bool operator ()(void) const;
    /// Move iterator to next range (if possible)
    void operator ++(void);
    //@}

    /// \name Range access
    //@{
    /// Return smallest value of range
    int min(void) const;
    /// Return largest value of range
    int max(void) const;
    /// Return width of range (distance between minimum and maximum)
    unsigned int width(void) const;
    //@}
  };

  /// Iterator for the values in the greatest lower bound of a set variable
  class SetVarGlbValues {
  private:
    Iter::Ranges::ToValues<SetVarGlbRanges> iter;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVarGlbValues(void);
    /// Initialize to iterate values of variable \a x
    SetVarGlbValues(const SetVar& x);
    //@}

    /// \name Iteration control
    //@{
    /// Test whether iterator is still at a value or done
    bool operator ()(void) const;
    /// Move iterator to next value (if possible)
    void operator ++(void);
    //@}

    /// \name Value access
    //@{
    /// Return current value
    int  val(void) const;
    //@}
  };

  /// Iterator for the values in the least upper bound of a set variable
  class SetVarLubValues {
  private:
    Iter::Ranges::ToValues<SetVarLubRanges> iter;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVarLubValues(void);
    /// Initialize to iterate values of variable \a x
    SetVarLubValues(const SetVar& x);
    //@}

    /// \name Iteration control
    //@{
    /// Test whether iterator is still at a value or done
    bool operator ()(void) const;
    /// Move iterator to next value (if possible)
    void operator ++(void);
    //@}

    /// \name Value access
    //@{
    /// Return current value
    int  val(void) const;
    //@}
  };

  /// Iterator for the values in the unknown set of a set variable
  class SetVarUnknownValues {
  private:
    Iter::Ranges::ToValues<SetVarUnknownRanges> iter;
  public:
    /// \name Constructors and initialization
    //@{
    /// Default constructor
    SetVarUnknownValues(void);
    /// Initialize to iterate values of variable \a x
    SetVarUnknownValues(const SetVar& x);
    //@}

    /// \name Iteration control
    //@{
    /// Test whether iterator is still at a value or done
    bool operator ()(void) const;
    /// Move iterator to next value (if possible)
    void operator ++(void);
    //@}

    /// \name Value access
    //@{
    /// Return current value
    int  val(void) const;
    //@}
  };

  //@}

  /**
   * \brief Print set variable \a x
   * \relates Gecode::SetVar
   */
  template<class Char, class Traits>
  std::basic_ostream<Char,Traits>&
  operator <<(std::basic_ostream<Char,Traits>& os, const SetVar& x);

}

#include <gecode/set/view.hpp>

namespace Gecode {
  /**
   * \defgroup TaskModelSetArgs Argument arrays
   *
   * Argument arrays are just good enough for passing arguments
   * with automatic memory management.
   * \ingroup TaskModelSet
   */
  
  //@{

}

#include <gecode/set/array-traits.hpp>

namespace Gecode {

  /** \brief Passing set variables
   *
   * We could have used a simple typedef instead, but doxygen cannot
   * resolve some overloading then, leading to unusable documentation for
   * important parts of the library. As long as there is no fix for this,
   * we will keep this workaround.
   *
   */
  class SetVarArgs : public VarArgArray<SetVar> {
  public:
    /// \name Constructors and initialization
    //@{
    /// Allocate empty array
    SetVarArgs(void) {}
    /// Allocate array with \a n elements
    explicit SetVarArgs(int n) : VarArgArray<SetVar>(n) {}
    /// Initialize from variable argument array \a a (copy elements)
    SetVarArgs(const SetVarArgs& a) : VarArgArray<SetVar>(a) {}
    /// Initialize from variable array \a a (copy elements)
    SetVarArgs(const VarArray<SetVar>& a) : VarArgArray<SetVar>(a) {}
    /// Initialize from vector \a a
    SetVarArgs(const std::vector<SetVar>& a) : VarArgArray<SetVar>(a) {}
    /// Initialize from InputIterator \a first and \a last
    template<class InputIterator>
    SetVarArgs(InputIterator first, InputIterator last)
    : VarArgArray<SetVar>(first,last) {}
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArgs(Space& home,int n,int glbMin,int glbMax,
               int lubMin,int lubMax,
               unsigned int minCard = 0,
               unsigned int maxCard = Set::Limits::card);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArgs(Space& home,int n,const IntSet& glb,
               int lubMin, int lubMax,
               unsigned int minCard = 0,
               unsigned int maxCard = Set::Limits::card);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArgs(Space& home,int n,int glbMin,int glbMax,
               const IntSet& lub,
               unsigned int minCard = 0,
               unsigned int maxCard = Set::Limits::card);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArgs(Space& home,int n,
               const IntSet& glb,const IntSet& lub,
               unsigned int minCard = 0,
               unsigned int maxCard = Set::Limits::card);
    //@}
  };
  //@}

  /**
   * \defgroup TaskModelSetVarArrays Variable arrays
   *
   * Variable arrays can store variables. They are typically used
   * for storing the variables being part of a solution. However,
   * they can also be used for temporary purposes (even though
   * memory is not reclaimed until the space it is created for
   * is deleted).
   * \ingroup TaskModelSet
   */

  /**
   * \brief %Set variable array
   * \ingroup TaskModelSetVarArrays
   */
  class SetVarArray : public VarArray<SetVar> {
  public:
    /// \name Creation and initialization
    //@{
    /// Default constructor (array of size 0)
    SetVarArray(void);
    /// Initialize from set variable array \a a (share elements)    
    SetVarArray(const SetVarArray&);
    /// Initialize from set variable argument array \a a (copy elements)
    SetVarArray(Space& home, const SetVarArgs&);
    /// Allocate array for \a n set variables (variables are uninitialized)
    GECODE_SET_EXPORT SetVarArray(Space& home, int n);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArray(Space& home,int n,int glbMin,int glbMax,int lubMin,int lubMax,
                unsigned int minCard = 0,
                unsigned int maxCard = Set::Limits::card);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArray(Space& home,int n,const IntSet& glb, int lubMin, int lubMax,
                unsigned int minCard = 0,
                unsigned int maxCard = Set::Limits::card);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArray(Space& home,int n,int glbMin,int glbMax,const IntSet& lub,
                unsigned int minCard = 0,
                unsigned int maxCard = Set::Limits::card);
    /**
     * \brief Create an array of size \a n.
     *
     * Each variable is initialized with the bounds and cardinality as
     * given by the arguments.
     */
    GECODE_SET_EXPORT
    SetVarArray(Space& home,int n,
                const IntSet& glb,const IntSet& lub,
                unsigned int minCard = 0,
                unsigned int maxCard = Set::Limits::card);
    //@}
  };

}

#include <gecode/set/array.hpp>

namespace Gecode {

  /**
   * \brief Common relation types for sets
   *
   * The total order on sets is defined as the lexicographic
   * order on their characteristic functions, e.g.,
   * \f$x\leq y\f$ means that either \f$x\f$ is empty or
   * the minimal element of the symmetric difference
   * \f$x\ominus y\f$ is in \f$y\f$.
   *
   * \ingroup TaskModelSet
   */
  enum SetRelType {
    SRT_EQ,   ///< Equality (\f$=\f$)
    SRT_NQ,   ///< Disequality (\f$\neq\f$)
    SRT_SUB,  ///< Subset (\f$\subseteq\f$)
    SRT_SUP,  ///< Superset (\f$\supseteq\f$)
    SRT_DISJ, ///< Disjoint (\f$\parallel\f$)
    SRT_CMPL, ///< Complement
    SRT_LQ,   ///< Less or equal (\f$\leq\f$)
    SRT_LE,   ///< Less (\f$<\f$)
    SRT_GQ,   ///< Greater or equal (\f$\geq\f$)
    SRT_GR    ///< Greater (\f$>\f$)
  };

  /**
   * \brief Common operations for sets
   * \ingroup TaskModelSet
   */
  enum SetOpType {
    SOT_UNION,  ///< Union
    SOT_DUNION, ///< Disjoint union
    SOT_INTER,  ///< %Intersection
    SOT_MINUS   ///< Difference
  };

  /**
   * \defgroup TaskModelSetDom Domain constraints
   * \ingroup TaskModelSet
   *
   */

  //@{

  /// Propagates \f$ x \sim_r \{i\}\f$
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetRelType r, int i);
  /// Propagates \f$ x_i \sim_r \{i\}\f$ for all \f$0\leq i<|x|\f$
  GECODE_SET_EXPORT void
  dom(Home home, const SetVarArgs& x, SetRelType r, int i);
  /// Propagates \f$ x \sim_r \{i,\dots,j\}\f$
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetRelType r, int i, int j);
  /// Propagates \f$ x \sim_r \{i,\dots,j\}\f$ for all \f$0\leq i<|x|\f$
  GECODE_SET_EXPORT void
  dom(Home home, const SetVarArgs& x, SetRelType r, int i, int j);
  /// Propagates \f$ x \sim_r s\f$
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetRelType r, const IntSet& s);
  /// Propagates \f$ x \sim_r s\f$ for all \f$0\leq i<|x|\f$
  GECODE_SET_EXPORT void
  dom(Home home, const SetVarArgs& x, SetRelType r, const IntSet& s);
  /// Propagates \f$ i \leq |s| \leq j \f$
  GECODE_SET_EXPORT void
  cardinality(Home home, SetVar x, unsigned int i, unsigned int j);
  /// Propagates \f$ i \leq |s| \leq j \f$ for all \f$0\leq i<|x|\f$
  GECODE_SET_EXPORT void
  cardinality(Home home, const SetVarArgs& x, unsigned int i, unsigned int j);
  /// Post propagator for \f$ (x \sim_{rt} \{i\}) \equiv r \f$
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetRelType rt, int i, Reify r);
  /// Post propagator for \f$ (x \sim_{rt} \{i,\dots,j\}) \equiv r \f$
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetRelType rt, int i, int j, Reify r);
  /// Post propagator for \f$ (x \sim_{rt} s) \equiv r \f$
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetRelType rt, const IntSet& s, Reify r);
  /// Constrain domain of \a x according to domain of \a d
  GECODE_SET_EXPORT void
  dom(Home home, SetVar x, SetVar d);
  /// Constrain domain of \f$ x_i \f$ according to domain of \f$ d_i \f$ for all \f$0\leq i<|x|\f$
  GECODE_SET_EXPORT void
  dom(Home home, const SetVarArgs& x, const SetVarArgs& d);
  //@}


  /**
   * \defgroup TaskModelSetRel Relation constraints
   * \ingroup TaskModelSet
   *
   */

  //@{

  /// Post propagator for \f$ x \sim_r y\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar x, SetRelType r, SetVar y);

  /// Post propagator for \f$ (x \sim_{rt} y) \equiv r\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar x, SetRelType rt, SetVar y, Reify r);

  /// Post propagator for \f$ s \sim_r \{x\}\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar s, SetRelType r, IntVar x);

  /// Post propagator for \f$ \{x\} \sim_r s\f$
  GECODE_SET_EXPORT void
  rel(Home home, IntVar x, SetRelType r, SetVar s);

  /// Post propagator for \f$ (s \sim_{rt} \{x\}) \equiv r\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar s, SetRelType rt, IntVar x, Reify r);

  /// Post propagator for \f$ (\{x\} \sim_{rt} s) \equiv r \f$
  GECODE_SET_EXPORT void
  rel(Home home, IntVar x, SetRelType rt, SetVar s, Reify r);

  /// Post propagator for \f$|s|\geq 1 \land \forall i\in s:\ i \sim_r x\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar s, IntRelType r, IntVar x);

  /// Post propagator for \f$|s|\geq 1 \land \forall i\in s:\ x \sim_r i\f$
  GECODE_SET_EXPORT void
  rel(Home home, IntVar x, IntRelType r, SetVar s);

  //@}

  /**
   * \defgroup TaskModelSetRelOp Set operation/relation constraints
   * \ingroup TaskModelSet
   *
   */

  //@{

  /// Post propagator for \f$ (x \diamond_{\mathit{op}} y) \sim_r z \f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar x, SetOpType op, SetVar y, SetRelType r, SetVar z);

  /// Post propagator for \f$ y = \diamond_{\mathit{op}} x\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetOpType op, const SetVarArgs& x, SetVar y);

  /// Post propagator for \f$ y = \diamond_{\mathit{op}} x \diamond_{\mathit{op}} z\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetOpType op, const SetVarArgs& x, const IntSet& z, SetVar y);

  /// Post propagator for \f$ y = \diamond_{\mathit{op}} x \diamond_{\mathit{op}} z\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetOpType op, const IntVarArgs& x, const IntSet& z, SetVar y);

  /// Post propagator for \f$ y = \diamond_{\mathit{op}} x\f$
  GECODE_SET_EXPORT void
  rel(Home home, SetOpType op, const IntVarArgs& x, SetVar y);

  /// Post propagator for \f$ (x \diamond_{\mathit{op}} y) \sim_r z \f$
  GECODE_SET_EXPORT void
  rel(Home home, const IntSet& x, SetOpType op, SetVar y,
      SetRelType r, SetVar z);

  /// Post propagator for \f$ (x \diamond_{\mathit{op}} y) \sim_r z \f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar x, SetOpType op, const IntSet& y,
      SetRelType r, SetVar z);

  /// Post propagator for \f$ (x \diamond_{\mathit{op}} y) \sim_r z \f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar x, SetOpType op, SetVar y,
      SetRelType r, const IntSet& z);

  /// Post propagator for \f$ (x \diamond_{\mathit{op}} y) \sim_r z \f$
  GECODE_SET_EXPORT void
  rel(Home home, const IntSet& x, SetOpType op, SetVar y, SetRelType r,
      const IntSet& z);

  /// Post propagator for \f$ (x \diamond_{\mathit{op}} y) \sim_r z \f$
  GECODE_SET_EXPORT void
  rel(Home home, SetVar x, SetOpType op, const IntSet& y, SetRelType r,
      const IntSet& z);

  //@}


  /**
   * \defgroup TaskModelSetConvex Convexity constraints
   * \ingroup TaskModelSet
   *
   */
  //@{

  /// Post propagator that propagates that \a x is convex
  GECODE_SET_EXPORT void
  convex(Home home, SetVar x);

  /// Post propagator that propagates that \a y is the convex hull of \a x
  GECODE_SET_EXPORT void
  convex(Home home, SetVar x, SetVar y);

  //@}

  /**
   * \defgroup TaskModelSetSequence Sequence constraints
   * \ingroup TaskModelSet
   *
   */
  //@{

  /// Post propagator for \f$\forall 0\leq i< |x|-1 : \max(x_i)<\min(x_{i+1})\f$
  GECODE_SET_EXPORT void
  sequence(Home home, const SetVarArgs& x);

  /// Post propagator for \f$\forall 0\leq i< |x|-1 : \max(x_i)<\min(x_{i+1})\f$ and \f$ x = \bigcup_{i\in\{0,\dots,n-1\}} y_i \f$
  GECODE_SET_EXPORT void
  sequence(Home home, const SetVarArgs& y, SetVar x);

  //@}

  /**
   * \defgroup TaskModelSetDistinct Distinctness constraints
   * \ingroup TaskModelSet
   *
   */
  //@{


  /// Post propagator for \f$\forall 0\leq i\leq |x| : |x_i|=c\f$ and \f$\forall 0\leq i<j\leq |x| : |x_i\cap x_j|\leq 1\f$
  GECODE_SET_EXPORT void
  atmostOne(Home home, const SetVarArgs& x, unsigned int c);

  //@}

  /**
   * \defgroup TaskModelSetConnect Connection constraints to integer variables
   * \ingroup TaskModelSet
   *
   */

  //@{

  /** \brief Post propagator that propagates that \a x is the
   *  minimal element of \a s, and that \a s is not empty */
  GECODE_SET_EXPORT void
  min(Home home, SetVar s, IntVar x);

  /** \brief Post propagator that propagates that \a x is not the
   *  minimal element of \a s */
  GECODE_SET_EXPORT void
  notMin(Home home, SetVar s, IntVar x);

  /** \brief Post reified propagator for \a b iff \a x is the
   *  minimal element of \a s */
  GECODE_SET_EXPORT void
  min(Home home, SetVar s, IntVar x, Reify r);

  /** \brief Post propagator that propagates that \a x is the
   *  maximal element of \a s, and that \a s is not empty */
  GECODE_SET_EXPORT void
  max(Home home, SetVar s, IntVar x);

  /** \brief Post propagator that propagates that \a x is not the
   *  maximal element of \a s */
  GECODE_SET_EXPORT void
  notMax(Home home, SetVar s, IntVar x);

  /** \brief Post reified propagator for \a b iff \a x is the
   *  maximal element of \a s */
  GECODE_SET_EXPORT void
  max(Home home, SetVar s, IntVar x, Reify r);

  /// Post propagator for \f$ |s|=x \f$
  GECODE_SET_EXPORT void
  cardinality(Home home, SetVar s, IntVar x);

  /**
   * \brief Post propagator for \f$y = \mathrm{weight}(x)\f$
   *
   * The weights are given as pairs of elements and their weight:
   * \f$\mathrm{weight}(\mathrm{elements}_i) = \mathrm{weights}_i\f$
   *
   * The upper bound of \a x is constrained to contain only elements from
   * \a elements. The weight of a set is the sum of the weights of its
   * elements.
   */
  GECODE_SET_EXPORT void
  weights(Home home, IntSharedArray elements, IntSharedArray weights,
          SetVar x, IntVar y);

  //@}

  /**
   * \defgroup TaskModelSetChannel Channel constraints
   * \ingroup TaskModelSet
   *
   */

  //@{

  /// Post propagator for \f$x_i=j \Leftrightarrow i\in y_j\f$
  GECODE_SET_EXPORT void
  channel(Home home, const IntVarArgs& x,const SetVarArgs& y);

  /// Post propagator for \f$\{x_0,\dots,x_{n-1}\}=y\f$ and \f$x_i<x_{i+1}\f$
  GECODE_SET_EXPORT void
  channelSorted(Home home, const IntVarArgs& x, SetVar y);

  /// Post propagator for \f$x_i=1 \Leftrightarrow i\in y\f$
  GECODE_SET_EXPORT void
  channel(Home home, const BoolVarArgs& x, SetVar y);

  /// Post propagator for \f$j\in x_i \Leftrightarrow i\in y_j\f$
  GECODE_SET_EXPORT void
  channel(Home home, const SetVarArgs& x, const SetVarArgs& y);

  //@}

  /**
   * \defgroup TaskModelSetPrecede Value precedence constraints over set variables
   * \ingroup TaskModelSet
   */
  /** \brief Post propagator that \a s precedes \a t in \a x
   *
   * This constraint enforces that if there exists \f$j\f$ such that
   * \f$s\notin x_j\land t\in x_j\f$, then there exists \f$i<j\f$ such that
   * \f$s\in x_i\land t\notin x_i\f$.
   * \ingroup TaskModelSetPrecede
   */
  GECODE_SET_EXPORT void
  precede(Home home, const SetVarArgs& x, int s, int t);
  /** \brief Post propagator that successive values in \a c precede each other in \a x
   * \ingroup TaskModelSetPrecede
   */
  GECODE_SET_EXPORT void
  precede(Home home, const SetVarArgs& x, const IntArgs& c);

  /**
   * \defgroup TaskModelSetElement Element constraints
   * \ingroup TaskModelSet
   *
   * An element constraint selects zero, one or more elements out of a
   * sequence. We write \f$ \langle x_0,\dots, x_{n-1} \rangle \f$ for the
   * sequence, and \f$ [y] \f$ for the index variable.
   *
   * Set element constraints are closely related to the ::element constraint
   * on integer variables.
   */

  //@{

  /**
   * \brief Post propagator for \f$ z=\diamond_{\mathit{op}}\langle x_0,\dots,x_{n-1}\rangle[y] \f$
   *
   * If \a y is the empty set, the usual conventions for set operations apply:
   * an empty union is empty, while an empty intersection is the universe,
   * which can be given as the optional parameter \a u.
   *
   * The indices for \a y start at 0.
   */
  GECODE_SET_EXPORT void
  element(Home home, SetOpType op, const SetVarArgs& x, SetVar y, SetVar z,
    const IntSet& u = IntSet(Set::Limits::min,Set::Limits::max));

  /**
   * \brief Post propagator for \f$ z=\diamond_{\mathit{op}}\langle \{x_0\},\dots,\{x_{n-1}\}\rangle[y] \f$
   *
   * If \a y is the empty set, the usual conventions for set operations apply:
   * an empty union is empty, while an empty intersection is the universe,
   * which can be given as the optional parameter \a u.
   *
   * The indices for \a y start at 0.
   */
  GECODE_SET_EXPORT void
  element(Home home, SetOpType op, const IntVarArgs& x, SetVar y, SetVar z,
          const IntSet& u = IntSet(Set::Limits::min,Set::Limits::max));

  /**
   * \brief Post propagator for \f$ z=\diamond_{\mathit{op}}\langle x_0,\dots,x_{n-1}\rangle[y] \f$
   *
   * If \a y is the empty set, the usual conventions for set operations apply:
   * an empty union is empty, while an empty intersection is the universe,
   * which can be given as the optional parameter \a u.
   *
   * The indices for \a y start at 0.
   */
  GECODE_SET_EXPORT void
  element(Home home, SetOpType op, const IntSetArgs& x, SetVar y, SetVar z,
          const IntSet& u = IntSet(Set::Limits::min,Set::Limits::max));

  /**
   * \brief Post propagator for \f$ z=\diamond_{\mathit{op}}\langle \{x_0\},\dots,\{x_{n-1}\}\rangle[y] \f$
   *
   * If \a y is the empty set, the usual conventions for set operations apply:
   * an empty union is empty, while an empty intersection is the universe,
   * which can be given as the optional parameter \a u.
   *
   * The indices for \a y start at 0.
   */
  GECODE_SET_EXPORT void
  element(Home home, SetOpType op, const IntArgs& x, SetVar y, SetVar z,
          const IntSet& u = IntSet(Set::Limits::min,Set::Limits::max));

  /**
   * \brief Post propagator for \f$ z=\langle x_0,\dots,x_{n-1}\rangle[y] \f$
   *
   * The indices for \a y start at 0.
   */
  GECODE_SET_EXPORT void
  element(Home home, const SetVarArgs& x, IntVar y, SetVar z);

  /**
   * \brief Post propagator for \f$ z=\langle s_0,\dots,s_{n-1}\rangle[y] \f$
   *
   * The indices for \a y start at 0.
   */
  GECODE_SET_EXPORT void
  element(Home home, const IntSetArgs& s, IntVar y, SetVar z);

  /** \brief Post propagator for \f$ a_{x+w\cdot y}=z\f$
   *
   * Throws an exception of type Set::ArgumentSizeMismatch, if
   * \f$ w\cdot h\neq|a|\f$.
   */
  GECODE_SET_EXPORT void
  element(Home home, const IntSetArgs& a, 
          IntVar x, int w, IntVar y, int h, SetVar z);
  /** \brief Post propagator for \f$ a_{x+w\cdot y}=z\f$
   *
   * Throws an exception of type Set::ArgumentSizeMismatch, if
   * \f$ w\cdot h\neq|a|\f$.
   */
  GECODE_SET_EXPORT void
  element(Home home, const SetVarArgs& a, 
          IntVar x, int w, IntVar y, int h, SetVar z);
  //@}

  /**
   * \defgroup TaskModelSetExec Synchronized execution
   * \ingroup TaskModelSet
   *
   * Synchronized execution executes a function or a static member function
   * when a certain event happends.
   *
   * \ingroup TaskModelSet
   */
  //@{
  /// Execute \a c when \a x becomes assigned
  GECODE_SET_EXPORT void
  wait(Home home, SetVar x, void (*c)(Space& home));
  /// Execute \a c when all variables in \a x become assigned
  GECODE_SET_EXPORT void
  wait(Home home, const SetVarArgs& x, void (*c)(Space& home));
  //@}

}

namespace Gecode {

  /**
   * \defgroup TaskModelSetBranch Branching
   * \ingroup TaskModelSet
   */

  /**
   * \brief Branch filter function type for set variables
   *
   * The variable \a x is considered for selection and \a i refers to the
   * variable's position in the original array passed to the brancher.
   *
   * \ingroup TaskModelSetBranch
   */
  typedef bool (*SetBranchFilter)(const Space& home, SetVar x, int i);

  /**
   * \brief Branch merit function type for set variables
   *
   * The function must return a merit value for the variable
   * \a x.
   * The value \a i refers to the variable's position in the original array
   * passed to the brancher.
   *
   * \ingroup TaskModelSetBranch
   */
  typedef double (*SetBranchMerit)(const Space& home, SetVar x, int i);

  /**
   * \brief Branch value function type for set variables
   *
   * Returns a value for the variable \a x that is to be used in the
   * corresponding branch commit function. The integer \a i refers 
   * to the variable's position in the original array passed to the 
   * brancher.
   *
   * \ingroup TaskModelSetBranch
   */
  typedef int (*SetBranchVal)(const Space& home, SetVar x, int i);

  /**
   * \brief Branch commit function type for set variables
   *
   * The function must post a constraint on the variable \a x which
   * corresponds to the alternative \a a. The integer \a i refers 
   * to the variable's position in the original array passed to the 
   * brancher. The value \a n is the value
   * computed by the corresponding branch value function.
   *
   * \ingroup TaskModelSetBranch
   */
  typedef void (*SetBranchCommit)(Space& home, unsigned int a,
                                  SetVar x, int i, int n);

}

#include <gecode/set/branch/traits.hpp>

namespace Gecode {

  /**
   * \brief Recording AFC information for set variables
   *
   * \ingroup TaskModelSetBranch
   */
  class SetAFC : public AFC {
  public:
    /**
     * \brief Construct as not yet initialized
     *
     * The only member functions that can be used on a constructed but not
     * yet initialized AFC storage is init or the assignment operator.
     *
     */
    SetAFC(void);
    /// Copy constructor
    SetAFC(const SetAFC& a);
    /// Assignment operator
    SetAFC& operator =(const SetAFC& a);      
    /// Initialize for set variables \a x with decay factor \a d
    SetAFC(Home home, const SetVarArgs& x, double d=1.0);
    /**
     * \brief Initialize for set variables \a x with decay factor \a d
     *
     * This member function can only be used once and only if the
     * AFC storage has been constructed with the default constructor.
     *
     */
    void init(Home, const SetVarArgs& x, double d=1.0);
  };

}

#include <gecode/set/branch/afc.hpp>

namespace Gecode {


  /**
   * \brief Recording activities for set variables
   *
   * \ingroup TaskModelSetBranch
   */
  class SetActivity : public Activity {
  public:
    /**
     * \brief Construct as not yet initialized
     *
     * The only member functions that can be used on a constructed but not
     * yet initialized activity storage is init or the assignment operator.
     *
     */
    SetActivity(void);
    /// Copy constructor
    SetActivity(const SetActivity& a);
    /// Assignment operator
    SetActivity& operator =(const SetActivity& a);      
    /**
     * \brief Initialize for set variables \a x with decay factor \a d
     *
     * If the branch merit function \a bm is different from NULL, the
     * activity for each variable is initialized with the merit returned
     * by \a bm.
     *
     */
    GECODE_SET_EXPORT 
    SetActivity(Home home, const SetVarArgs& x, double d=1.0,
                SetBranchMerit bm=NULL);
    /**
     * \brief Initialize for set variables \a x with decay factor \a d
     *
     * If the branch merit function \a bm is different from NULL, the
     * activity for each variable is initialized with the merit returned
     * by \a bm.
     *
     * This member function can only be used once and only if the
     * activity storage has been constructed with the default constructor.
     *
     */
    GECODE_SET_EXPORT void
    init(Home, const SetVarArgs& x, double d=1.0,
         SetBranchMerit bm=NULL);
  };

}

#include <gecode/set/branch/activity.hpp>

namespace Gecode {

  /// Function type for printing branching alternatives for set variables
  typedef void (*SetVarValPrint)(const Space &home, const BrancherHandle& bh,
                                 unsigned int a,
                                 SetVar x, int i, const int& n,
                                 std::ostream& o);

}

namespace Gecode {

  /**
   * \brief Which variable to select for branching
   *
   * \ingroup TaskModelSetBranch
   */
  class SetVarBranch : public VarBranch {
  public:
    /// Which variable selection
    enum Select {
      SEL_NONE = 0,        ///< First unassigned
      SEL_RND,             ///< Random (uniform, for tie breaking)
      SEL_MERIT_MIN,       ///< With least merit
      SEL_MERIT_MAX,       ///< With highest merit
      SEL_DEGREE_MIN,      ///< With smallest degree
      SEL_DEGREE_MAX,      ///< With largest degree
      SEL_AFC_MIN,         ///< With smallest accumulated failure count
      SEL_AFC_MAX,         ///< With largest accumulated failure count
      SEL_ACTIVITY_MIN,    ///< With lowest activity
      SEL_ACTIVITY_MAX,    ///< With highest activity
      SEL_MIN_MIN,         ///< With smallest minimum unknown element
      SEL_MIN_MAX,         ///< With largest minimum unknown element
      SEL_MAX_MIN,         ///< With smallest maximum unknown element
      SEL_MAX_MAX,         ///< With largest maximum unknown element
      SEL_SIZE_MIN,        ///< With smallest unknown set
      SEL_SIZE_MAX,        ///< With largest unknown set
      SEL_DEGREE_SIZE_MIN, ///< With smallest degree divided by domain size
      SEL_DEGREE_SIZE_MAX, ///< With largest degree divided by domain size
      SEL_AFC_SIZE_MIN,    ///< With smallest accumulated failure count divided by domain size
      SEL_AFC_SIZE_MAX,    ///< With largest accumulated failure count divided by domain size
      SEL_ACTIVITY_SIZE_MIN, ///< With smallest activity divided by domain size
      SEL_ACTIVITY_SIZE_MAX  ///< With largest activity divided by domain size
    };
  protected:
    /// Which variable to select
    Select s;
  public:
    /// Initialize with strategy SEL_NONE
    SetVarBranch(void);
    /// Initialize with random number generator \a r
    SetVarBranch(Rnd r);
    /// Initialize with selection strategy \a s and tie-break limit function \a t
    SetVarBranch(Select s, BranchTbl t);
    /// Initialize with selection strategy \a s, decay factor \a d, and tie-break limit function \a t
    SetVarBranch(Select s, double d, BranchTbl t);
    /// Initialize with selection strategy \a s, afc \a a, and tie-break limit function \a t
    SetVarBranch(Select s, AFC a, BranchTbl t);
    /// Initialize with selection strategy \a s, activity \a a, and tie-break limit function \a t
    SetVarBranch(Select s, Activity a, BranchTbl t);
    /// Initialize with selection strategy \a s, branch merit function \a mf, and tie-break limit function \a t
    SetVarBranch(Select s, VoidFunction mf, BranchTbl t);
    /// Return selection strategy
    Select select(void) const;
    /// Expand decay factor into AFC or activity
    void expand(Home home, const SetVarArgs& x);
  };

  /**
   * \defgroup TaskModelSetBranchVar Selecting set variables
   * \ingroup TaskModelSetBranch
   */
  //@{
  /// Select first unassigned variable
  SetVarBranch SET_VAR_NONE(void);
  /// Select random variable (uniform distribution, for tie breaking)
  SetVarBranch SET_VAR_RND(Rnd r);
  /// Select variable with least merit according to branch merit function \a bm
  SetVarBranch SET_VAR_MERIT_MIN(SetBranchMerit bm, BranchTbl tbl=NULL);
  /// Select variable with highest merit according to branch merit function \a bm
  SetVarBranch SET_VAR_MERIT_MAX(SetBranchMerit bm, BranchTbl tbl=NULL);
  /// Select variable with smallest degree
  SetVarBranch SET_VAR_DEGREE_MIN(BranchTbl tbl=NULL);
  /// Select variable with largest degree
  SetVarBranch SET_VAR_DEGREE_MAX(BranchTbl tbl=NULL);
  /// Select variable with smallest accumulated failure count with decay factor \a d
  SetVarBranch SET_VAR_AFC_MIN(double d=1.0, BranchTbl tbl=NULL);
  /// Select variable with smallest accumulated failure count
  SetVarBranch SET_VAR_AFC_MIN(SetAFC a, BranchTbl tbl=NULL);
  /// Select variable with largest accumulated failure count with decay factor \a d
  SetVarBranch SET_VAR_AFC_MAX(double d=1.0, BranchTbl tbl=NULL);
  /// Select variable with largest accumulated failure count    
  SetVarBranch SET_VAR_AFC_MAX(SetAFC a, BranchTbl tbl=NULL);
  /// Select variable with lowest activity with decay factor \a d
  SetVarBranch SET_VAR_ACTIVITY_MIN(double d=1.0, BranchTbl tbl=NULL);    
  /// Select variable with lowest activity
  SetVarBranch SET_VAR_ACTIVITY_MIN(SetActivity a, BranchTbl tbl=NULL);    
  /// Select variable with highest activity with decay factor \a d
  SetVarBranch SET_VAR_ACTIVITY_MAX(double d=1.0, BranchTbl tbl=NULL);     
  /// Select variable with highest activity
  SetVarBranch SET_VAR_ACTIVITY_MAX(SetActivity a, BranchTbl tbl=NULL);     
  /// Select variable with smallest minimum unknown element
  SetVarBranch SET_VAR_MIN_MIN(BranchTbl tbl=NULL);         
  /// Select variable with largest minimum unknown element
  SetVarBranch SET_VAR_MIN_MAX(BranchTbl tbl=NULL);
  /// Select variable with smallest maximum unknown element
  SetVarBranch SET_VAR_MAX_MIN(BranchTbl tbl=NULL); 
  /// Select variable with largest maximum unknown element
  SetVarBranch SET_VAR_MAX_MAX(BranchTbl tbl=NULL);
  /// Select variable with smallest unknown set
  SetVarBranch SET_VAR_SIZE_MIN(BranchTbl tbl=NULL);
  /// Select variable with largest  unknown set
  SetVarBranch SET_VAR_SIZE_MAX(BranchTbl tbl=NULL);
  /// Select variable with smallest degree divided by domain size
  SetVarBranch SET_VAR_DEGREE_SIZE_MIN(BranchTbl tbl=NULL);
  /// Select variable with largest degree divided by domain size
  SetVarBranch SET_VAR_DEGREE_SIZE_MAX(BranchTbl tbl=NULL);
  /// Select variable with smallest accumulated failure count divided by domain size with decay factor \a d
  SetVarBranch SET_VAR_AFC_SIZE_MIN(double d=1.0, BranchTbl tbl=NULL);
  /// Select variable with smallest accumulated failure count divided by domain size
  SetVarBranch SET_VAR_AFC_SIZE_MIN(SetAFC a, BranchTbl tbl=NULL);
  /// Select variable with largest accumulated failure count divided by domain size with decay factor \a d
  SetVarBranch SET_VAR_AFC_SIZE_MAX(double d=1.0, BranchTbl tbl=NULL);
  /// Select variable with largest accumulated failure count divided by domain size
  SetVarBranch SET_VAR_AFC_SIZE_MAX(SetAFC a, BranchTbl tbl=NULL);
  /// Select variable with smallest activity divided by domain size with decay factor \a d
  SetVarBranch SET_VAR_ACTIVITY_SIZE_MIN(double d=1.0, BranchTbl tbl=NULL);
  /// Select variable with smallest activity divided by domain size
  SetVarBranch SET_VAR_ACTIVITY_SIZE_MIN(SetActivity a, BranchTbl tbl=NULL);
  /// Select variable with largest activity divided by domain size with decay factor \a d
  SetVarBranch SET_VAR_ACTIVITY_SIZE_MAX(double d=1.0, BranchTbl tbl=NULL);
  /// Select variable with largest activity divided by domain size
  SetVarBranch SET_VAR_ACTIVITY_SIZE_MAX(SetActivity a, BranchTbl tbl=NULL);
  //@}

}

#include <gecode/set/branch/var.hpp>

namespace Gecode {

  /**
   * \brief Which values to select for branching first
   *
   * \ingroup TaskModelSetBranch
   */
  class SetValBranch : public ValBranch {
  public:
    /// Which value selection
    enum Select {
      SEL_MIN_INC,   ///< Include smallest element
      SEL_MIN_EXC,   ///< Exclude smallest element
      SEL_MED_INC,   ///< Include median element (rounding downwards)
      SEL_MED_EXC,   ///< Exclude median element (rounding downwards)
      SEL_MAX_INC,   ///< Include largest element
      SEL_MAX_EXC,   ///< Exclude largest element
      SEL_RND_INC,   ///< Include random element
      SEL_RND_EXC,   ///< Exclude random element
      SEL_VAL_COMMIT ///< Select value according to user-defined functions
    };
  protected:
    /// Which value to select
    Select s;
  public:
    /// Initialize with selection strategy \a s
    SetValBranch(Select s = SEL_MIN_INC);
    /// Initialize with random number generator \a r
    SetValBranch(Select s, Rnd r);
    /// Initialize with value function \a f and commit function \a c
    SetValBranch(VoidFunction v, VoidFunction c);
    /// Return selection strategy
    Select select(void) const;
  };

  /**
   * \defgroup TaskModelSetBranchVal Value selection for set variables
   * \ingroup TaskModelSetBranch
   */
  //@{
  /// Include smallest element
  SetValBranch SET_VAL_MIN_INC(void);
  /// Exclude smallest element
  SetValBranch SET_VAL_MIN_EXC(void);
  /// Include median element (rounding downwards)
  SetValBranch SET_VAL_MED_INC(void);
  /// Exclude median element (rounding downwards)
  SetValBranch SET_VAL_MED_EXC(void);
  /// Include largest element
  SetValBranch SET_VAL_MAX_INC(void);
  /// Exclude largest element
  SetValBranch SET_VAL_MAX_EXC(void);
  /// Include random element
  SetValBranch SET_VAL_RND_INC(Rnd r);
  /// Exclude random element
  SetValBranch SET_VAL_RND_EXC(Rnd r);
  /**
   * \brief Select value as defined by the value function \a v and commit function \a c
   *
   * The default commit function posts the constraint that the value \a n
   * must be included in the set variable \a x for the first alternative,
   * and that \a n must be excluded from \a x otherwise.
   */
  SetValBranch SET_VAL(SetBranchVal v, SetBranchCommit c=NULL);
  //@}

}

#include <gecode/set/branch/val.hpp>

namespace Gecode {

  /**
   * \brief Which value to select for assignment
   *
   * \ingroup TaskModelSetBranch
   */
  class SetAssign : public ValBranch {
  public:
    /// Which value selection
    enum Select {
      SEL_MIN_INC,   ///< Include smallest element
      SEL_MIN_EXC,   ///< Exclude smallest element
      SEL_MED_INC,   ///< Include median element (rounding downwards)
      SEL_MED_EXC,   ///< Exclude median element (rounding downwards)
      SEL_MAX_INC,   ///< Include largest element
      SEL_MAX_EXC,   ///< Exclude largest element
      SEL_RND_INC,   ///< Include random element
      SEL_RND_EXC,   ///< Exclude random element
      SEL_VAL_COMMIT ///< Select value according to user-defined functions
    };
  protected:
    /// Which value to select
    Select s;
  public:
    /// Initialize with selection strategy \a s
    SetAssign(Select s = SEL_MIN_INC);
    /// Initialize with random number generator \a r
    SetAssign(Select s, Rnd r);
    /// Initialize with value function \a f and commit function \a c
    SetAssign(VoidFunction v, VoidFunction c);
    /// Return selection strategy
    Select select(void) const;
  };

  /**
   * \defgroup TaskModelSetBranchAssign Assigning set variables
   * \ingroup TaskModelSetBranch
   */
  //@{
  /// Include smallest element
  SetAssign SET_ASSIGN_MIN_INC(void);
  /// Exclude smallest element
  SetAssign SET_ASSIGN_MIN_EXC(void);
  /// Include median element (rounding downwards)
  SetAssign SET_ASSIGN_MED_INC(void);
  /// Exclude median element (rounding downwards)
  SetAssign SET_ASSIGN_MED_EXC(void);
  /// Include largest element
  SetAssign SET_ASSIGN_MAX_INC(void);
  /// Exclude largest element
  SetAssign SET_ASSIGN_MAX_EXC(void);
  /// Include random element
  SetAssign SET_ASSIGN_RND_INC(Rnd r);
  /// Exclude random element
  SetAssign SET_ASSIGN_RND_EXC(Rnd r);
  /**
   * \brief Select value as defined by the value function \a v and commit function \a c
   *
   * The default commit function posts the constraint that the value \a n
   * must be included in the set variable \a x.
   */
  SetAssign SET_ASSIGN(SetBranchVal v, SetBranchCommit c=NULL);
  //@}

}

#include <gecode/set/branch/assign.hpp>

namespace Gecode {

  /**
   * \brief Branch over \a x with variable selection \a vars and value selection \a vals
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  branch(Home home, const SetVarArgs& x,
         SetVarBranch vars, SetValBranch vals, 
         SetBranchFilter bf=NULL,
         SetVarValPrint vvp=NULL);
  /**
   * \brief Branch over \a x with tie-breaking variable selection \a vars and value selection \a vals
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  branch(Home home, const SetVarArgs& x,
         TieBreak<SetVarBranch> vars, SetValBranch vals,
         SetBranchFilter bf=NULL,
         SetVarValPrint vvp=NULL);
  /**
   * \brief Branch over \a x with value selection \a vals
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  branch(Home home, SetVar x, SetValBranch vals,
         SetVarValPrint vvp=NULL);
  /**
   * \brief Assign all \a x with value selection \a vals
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  assign(Home home, const SetVarArgs& x, SetAssign vals,
         SetBranchFilter bf=NULL,
         SetVarValPrint vvp=NULL);
  /**
   * \brief Assign \a x with value selection \a vals
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  assign(Home home, SetVar x, SetAssign vals,
         SetVarValPrint vvp=NULL);

}

// LDSB-related declarations.
namespace Gecode {
  /// Variables in \a x are interchangeable
  GECODE_SET_EXPORT SymmetryHandle VariableSymmetry(const SetVarArgs& x);
  /**
   * \brief Variable sequences in \a x of size \a ss are interchangeable
   *
   * The size of \a x must be a multiple of \a ss. 
   */
  GECODE_SET_EXPORT
  SymmetryHandle VariableSequenceSymmetry(const SetVarArgs& x, int ss);
  /**
   * \brief Branch over \a x with variable selection \a vars and value
   * selection \a vals with symmetry breaking
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  branch(Home home, const SetVarArgs& x,
         SetVarBranch vars, SetValBranch vals,
         const Symmetries& syms,
         SetBranchFilter bf=NULL,
         SetVarValPrint vvp=NULL);
  /**
   * \brief Branch over \a x with tie-breaking variable selection \a
   * vars and value selection \a vals with symmetry breaking
   *
   * \ingroup TaskModelSetBranch
   */
  GECODE_SET_EXPORT BrancherHandle
  branch(Home home, const SetVarArgs& x,
         TieBreak<SetVarBranch> vars, SetValBranch vals,
         const Symmetries& syms, 
         SetBranchFilter bf=NULL,
         SetVarValPrint vvp=NULL);
}

#endif

// IFDEF: GECODE_HAS_SET_VARS
// STATISTICS: set-post