Training courses

Kernel and Embedded Linux

Bootlin training courses

Embedded Linux, kernel,
Yocto Project, Buildroot, real-time,
graphics, boot time, debugging...

Bootlin logo

Elixir Cross Referencer

   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
/* Allocation for dataflow support routines.
   Copyright (C) 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006
   Free Software Foundation, Inc.
   Originally contributed by Michael P. Hayes 
             (m.hayes@elec.canterbury.ac.nz, mhayes@redhat.com)
   Major rewrite contributed by Danny Berlin (dberlin@dberlin.org)
             and Kenneth Zadeck (zadeck@naturalbridge.com).

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING.  If not, write to the Free
Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301, USA.  
*/

/*
OVERVIEW:

The files in this collection (df*.c,df.h) provide a general framework
for solving dataflow problems.  The global dataflow is performed using
a good implementation of iterative dataflow analysis.

The file df-problems.c provides problem instance for the most common
dataflow problems: reaching defs, upward exposed uses, live variables,
uninitialized variables, def-use chains, and use-def chains.  However,
the interface allows other dataflow problems to be defined as well.


USAGE:

Here is an example of using the dataflow routines.

      struct df *df;

      df = df_init (init_flags);
      
      df_add_problem (df, problem, flags);

      df_set_blocks (df, blocks);

      df_rescan_blocks (df, blocks);

      df_analyze (df);

      df_dump (df, stderr);

      df_finish (df);



DF_INIT simply creates a poor man's object (df) that needs to be
passed to all the dataflow routines.  df_finish destroys this object
and frees up any allocated memory.

There are three flags that can be passed to df_init, each of these
flags controls the scanning of the rtl:

DF_HARD_REGS means that the scanning is to build information about
both pseudo registers and hardware registers.  Without this
information, the problems will be solved only on pseudo registers.
DF_EQUIV_NOTES marks the uses present in EQUIV/EQUAL notes.
DF_SUBREGS return subregs rather than the inner reg.


DF_ADD_PROBLEM adds a problem, defined by an instance to struct
df_problem, to the set of problems solved in this instance of df.  All
calls to add a problem for a given instance of df must occur before
the first call to DF_RESCAN_BLOCKS, DF_SET_BLOCKS or DF_ANALYZE.

For all of the problems defined in df-problems.c, there are
convenience functions named DF_*_ADD_PROBLEM.


Problems can be dependent on other problems.  For instance, solving
def-use or use-def chains is dependent on solving reaching
definitions. As long as these dependencies are listed in the problem
definition, the order of adding the problems is not material.
Otherwise, the problems will be solved in the order of calls to
df_add_problem.  Note that it is not necessary to have a problem.  In
that case, df will just be used to do the scanning.



DF_SET_BLOCKS is an optional call used to define a region of the
function on which the analysis will be performed.  The normal case is
to analyze the entire function and no call to df_set_blocks is made.

When a subset is given, the analysis behaves as if the function only
contains those blocks and any edges that occur directly between the
blocks in the set.  Care should be taken to call df_set_blocks right
before the call to analyze in order to eliminate the possibility that
optimizations that reorder blocks invalidate the bitvector.



DF_RESCAN_BLOCKS is an optional call that causes the scanner to be
 (re)run over the set of blocks passed in.  If blocks is NULL, the entire
function (or all of the blocks defined in df_set_blocks) is rescanned.
If blocks contains blocks that were not defined in the call to
df_set_blocks, these blocks are added to the set of blocks.


DF_ANALYZE causes all of the defined problems to be (re)solved.  It
does not cause blocks to be (re)scanned at the rtl level unless no
prior call is made to df_rescan_blocks.  When DF_ANALYZE is completes,
the IN and OUT sets for each basic block contain the computer
information.  The DF_*_BB_INFO macros can be used to access these
bitvectors.


DF_DUMP can then be called to dump the information produce to some
file.



DF_FINISH causes all of the datastructures to be cleaned up and freed.
The df_instance is also freed and its pointer should be NULLed.




Scanning produces a `struct df_ref' data structure (ref) is allocated
for every register reference (def or use) and this records the insn
and bb the ref is found within.  The refs are linked together in
chains of uses and defs for each insn and for each register.  Each ref
also has a chain field that links all the use refs for a def or all
the def refs for a use.  This is used to create use-def or def-use
chains.

Different optimizations have different needs.  Ultimately, only
register allocation and schedulers should be using the bitmaps
produced for the live register and uninitialized register problems.
The rest of the backend should be upgraded to using and maintaining
the linked information such as def use or use def chains.



PHILOSOPHY:

While incremental bitmaps are not worthwhile to maintain, incremental
chains may be perfectly reasonable.  The fastest way to build chains
from scratch or after significant modifications is to build reaching
definitions (RD) and build the chains from this.

However, general algorithms for maintaining use-def or def-use chains
are not practical.  The amount of work to recompute the chain any
chain after an arbitrary change is large.  However, with a modest
amount of work it is generally possible to have the application that
uses the chains keep them up to date.  The high level knowledge of
what is really happening is essential to crafting efficient
incremental algorithms.

As for the bit vector problems, there is no interface to give a set of
blocks over with to resolve the iteration.  In general, restarting a
dataflow iteration is difficult and expensive.  Again, the best way to
keep the dataflow information up to data (if this is really what is
needed) it to formulate a problem specific solution.

There are fine grained calls for creating and deleting references from
instructions in df-scan.c.  However, these are not currently connected
to the engine that resolves the dataflow equations.


DATA STRUCTURES:

The basic object is a DF_REF (reference) and this may either be a 
DEF (definition) or a USE of a register.

These are linked into a variety of lists; namely reg-def, reg-use,
insn-def, insn-use, def-use, and use-def lists.  For example, the
reg-def lists contain all the locations that define a given register
while the insn-use lists contain all the locations that use a
register.

Note that the reg-def and reg-use chains are generally short for
pseudos and long for the hard registers.

ACCESSING REFS:

There are 4 ways to obtain access to refs:

1) References are divided into two categories, REAL and ARTIFICIAL.

   REAL refs are associated with instructions.  They are linked into
   either in the insn's defs list (accessed by the DF_INSN_DEFS or
   DF_INSN_UID_DEFS macros) or the insn's uses list (accessed by the
   DF_INSN_USES or DF_INSN_UID_USES macros).  These macros produce a
   ref (or NULL), the rest of the list can be obtained by traversal of
   the NEXT_REF field (accessed by the DF_REF_NEXT_REF macro.)  There
   is no significance to the ordering of the uses or refs in an
   instruction.

   ARTIFICIAL refs are associated with basic blocks.  The heads of
   these lists can be accessed by calling get_artificial_defs or
   get_artificial_uses for the particular basic block.  Artificial
   defs and uses are only there if DF_HARD_REGS was specified when the
   df instance was created.
 
   Artificial defs and uses occur both at the beginning and ends of blocks.

     For blocks that area at the destination of eh edges, the
     artificial uses and defs occur at the beginning.  The defs relate
     to the registers specified in EH_RETURN_DATA_REGNO and the uses
     relate to the registers specified in ED_USES.  Logically these
     defs and uses should really occur along the eh edge, but there is
     no convenient way to do this.  Artificial edges that occur at the
     beginning of the block have the DF_REF_AT_TOP flag set.

     Artificial uses occur at the end of all blocks.  These arise from
     the hard registers that are always live, such as the stack
     register and are put there to keep the code from forgetting about
     them.

     Artificial defs occur at the end of the entry block.  These arise
     from registers that are live at entry to the function.

2) All of the uses and defs associated with each pseudo or hard
   register are linked in a bidirectional chain.  These are called
   reg-use or reg_def chains.

   The first use (or def) for a register can be obtained using the
   DF_REG_USE_GET macro (or DF_REG_DEF_GET macro).  Subsequent uses
   for the same regno can be obtained by following the next_reg field
   of the ref.

   In previous versions of this code, these chains were ordered.  It
   has not been practical to continue this practice.

3) If def-use or use-def chains are built, these can be traversed to
   get to other refs.

4) An array of all of the uses (and an array of all of the defs) can
   be built.  These arrays are indexed by the value in the id
   structure.  These arrays are only lazily kept up to date, and that
   process can be expensive.  To have these arrays built, call
   df_reorganize_refs.   Note that the values in the id field of a ref
   may change across calls to df_analyze or df_reorganize refs.

   If the only use of this array is to find all of the refs, it is
   better to traverse all of the registers and then traverse all of
   reg-use or reg-def chains.



NOTES:
 
Embedded addressing side-effects, such as POST_INC or PRE_INC, generate
both a use and a def.  These are both marked read/write to show that they
are dependent. For example, (set (reg 40) (mem (post_inc (reg 42))))
will generate a use of reg 42 followed by a def of reg 42 (both marked
read/write).  Similarly, (set (reg 40) (mem (pre_dec (reg 41))))
generates a use of reg 41 then a def of reg 41 (both marked read/write),
even though reg 41 is decremented before it is used for the memory
address in this second example.

A set to a REG inside a ZERO_EXTRACT, or a set to a non-paradoxical SUBREG
for which the number of word_mode units covered by the outer mode is
smaller than that covered by the inner mode, invokes a read-modify-write.
operation.  We generate both a use and a def and again mark them
read/write.

Paradoxical subreg writes do not leave a trace of the old content, so they
are write-only operations.  
*/


#include "config.h"
#include "system.h"
#include "coretypes.h"
#include "tm.h"
#include "rtl.h"
#include "tm_p.h"
#include "insn-config.h"
#include "recog.h"
#include "function.h"
#include "regs.h"
#include "output.h"
#include "alloc-pool.h"
#include "flags.h"
#include "hard-reg-set.h"
#include "basic-block.h"
#include "sbitmap.h"
#include "bitmap.h"
#include "timevar.h"
#include "df.h"
#include "tree-pass.h"

static struct df *ddf = NULL;
struct df *shared_df = NULL;

static void *df_get_bb_info (struct dataflow *, unsigned int);
static void df_set_bb_info (struct dataflow *, unsigned int, void *);
/*----------------------------------------------------------------------------
  Functions to create, destroy and manipulate an instance of df.
----------------------------------------------------------------------------*/


/* Initialize dataflow analysis and allocate and initialize dataflow
   memory.  */

struct df *
df_init (int flags)
{
  struct df *df = XCNEW (struct df);

  /* This is executed once per compilation to initialize platform
     specific data structures. */
  df_hard_reg_init ();
  
  /* All df instance must define the scanning problem.  */
  df_scan_add_problem (df, flags);
  ddf = df;
  return df;
}

/* Add PROBLEM to the DF instance.  */

struct dataflow *
df_add_problem (struct df *df, struct df_problem *problem, int flags)
{
  struct dataflow *dflow;

  /* First try to add the dependent problem. */
  if (problem->dependent_problem_fun)
    (problem->dependent_problem_fun) (df, 0);

  /* Check to see if this problem has already been defined.  If it
     has, just return that instance, if not, add it to the end of the
     vector.  */
  dflow = df->problems_by_index[problem->id];
  if (dflow)
    return dflow;

  /* Make a new one and add it to the end.  */
  dflow = XCNEW (struct dataflow);
  dflow->flags = flags;
  dflow->df = df;
  dflow->problem = problem;
  df->problems_in_order[df->num_problems_defined++] = dflow;
  df->problems_by_index[dflow->problem->id] = dflow;

  return dflow;
}


/* Set the MASK flags in the DFLOW problem.  The old flags are
   returned.  If a flag is not allowed to be changed this will fail if
   checking is enabled.  */
int 
df_set_flags (struct dataflow *dflow, int mask)
{
  int old_flags = dflow->flags;

  gcc_assert (!(mask & (~dflow->problem->changeable_flags)));

  dflow->flags |= mask;

  return old_flags;
}

/* Clear the MASK flags in the DFLOW problem.  The old flags are
   returned.  If a flag is not allowed to be changed this will fail if
   checking is enabled.  */
int 
df_clear_flags (struct dataflow *dflow, int mask)
{
  int old_flags = dflow->flags;

  gcc_assert (!(mask & (~dflow->problem->changeable_flags)));

  dflow->flags &= !mask;

  return old_flags;
}

/* Set the blocks that are to be considered for analysis.  If this is
   not called or is called with null, the entire function in
   analyzed.  */

void 
df_set_blocks (struct df *df, bitmap blocks)
{
  if (blocks)
    {
      if (df->blocks_to_analyze)
	{
	  int p;
	  bitmap diff = BITMAP_ALLOC (NULL);
	  bitmap_and_compl (diff, df->blocks_to_analyze, blocks);
	  for (p = df->num_problems_defined - 1; p >= 0 ;p--)
	    {
	      struct dataflow *dflow = df->problems_in_order[p];
	      if (dflow->problem->reset_fun)
		dflow->problem->reset_fun (dflow, df->blocks_to_analyze);
	      else if (dflow->problem->free_bb_fun)
		{
		  bitmap_iterator bi;
		  unsigned int bb_index;
		  
		  EXECUTE_IF_SET_IN_BITMAP (diff, 0, bb_index, bi)
		    {
		      basic_block bb = BASIC_BLOCK (bb_index);
		      if (bb)
			{
			  dflow->problem->free_bb_fun
			    (dflow, bb, df_get_bb_info (dflow, bb_index));
			  df_set_bb_info (dflow, bb_index, NULL); 
			}
		    }
		}
	    }

	  BITMAP_FREE (diff);
	}
      else
	{
	  /* If we have not actually run scanning before, do not try
	     to clear anything.  */
	  struct dataflow *scan_dflow = df->problems_by_index [DF_SCAN];
	  if (scan_dflow->problem_data)
	    {
	      bitmap blocks_to_reset = NULL;
	      int p;
	      for (p = df->num_problems_defined - 1; p >= 0 ;p--)
		{
		  struct dataflow *dflow = df->problems_in_order[p];
		  if (dflow->problem->reset_fun)
		    {
		      if (!blocks_to_reset)
			{
			  basic_block bb;
			  blocks_to_reset = BITMAP_ALLOC (NULL);
			  FOR_ALL_BB(bb)
			    {
			      bitmap_set_bit (blocks_to_reset, bb->index); 
			    }
			}
		      dflow->problem->reset_fun (dflow, blocks_to_reset);
		    }
		}
	      if (blocks_to_reset)
		BITMAP_FREE (blocks_to_reset);
	    }
	  df->blocks_to_analyze = BITMAP_ALLOC (NULL);
	}
      bitmap_copy (df->blocks_to_analyze, blocks);
    }
  else
    {
      if (df->blocks_to_analyze)
	{
	  BITMAP_FREE (df->blocks_to_analyze);
	  df->blocks_to_analyze = NULL;
	}
    }
}


/* Free all of the per basic block dataflow from all of the problems.
   This is typically called before a basic block is deleted and the
   problem will be reanalyzed.  */

void
df_delete_basic_block (struct df *df, int bb_index)
{
  basic_block bb = BASIC_BLOCK (bb_index);
  int i;
  
  for (i = 0; i < df->num_problems_defined; i++)
    {
      struct dataflow *dflow = df->problems_in_order[i];
      if (dflow->problem->free_bb_fun)
	dflow->problem->free_bb_fun 
	  (dflow, bb, df_get_bb_info (dflow, bb_index)); 
    }
}


/* Free all the dataflow info and the DF structure.  This should be
   called from the df_finish macro which also NULLs the parm.  */

void
df_finish1 (struct df *df)
{
  int i;

  for (i = 0; i < df->num_problems_defined; i++)
    df->problems_in_order[i]->problem->free_fun (df->problems_in_order[i]); 

  free (df);
}


/*----------------------------------------------------------------------------
   The general data flow analysis engine.
----------------------------------------------------------------------------*/


/* Hybrid search algorithm from "Implementation Techniques for
   Efficient Data-Flow Analysis of Large Programs".  */

static void
df_hybrid_search_forward (basic_block bb, 
			  struct dataflow *dataflow,
			  bool single_pass)
{
  int result_changed;
  int i = bb->index;
  edge e;
  edge_iterator ei;

  SET_BIT (dataflow->visited, bb->index);
  gcc_assert (TEST_BIT (dataflow->pending, bb->index));
  RESET_BIT (dataflow->pending, i);

  /*  Calculate <conf_op> of predecessor_outs.  */
  if (EDGE_COUNT (bb->preds) > 0)
    FOR_EACH_EDGE (e, ei, bb->preds)
      {
	if (!TEST_BIT (dataflow->considered, e->src->index))
	  continue;
	
	dataflow->problem->con_fun_n (dataflow, e);
      }
  else if (dataflow->problem->con_fun_0)
    dataflow->problem->con_fun_0 (dataflow, bb);
  
  result_changed = dataflow->problem->trans_fun (dataflow, i);
  
  if (!result_changed || single_pass)
    return;
  
  FOR_EACH_EDGE (e, ei, bb->succs)
    {
      if (e->dest->index == i)
	continue;
      if (!TEST_BIT (dataflow->considered, e->dest->index))
	continue;
      SET_BIT (dataflow->pending, e->dest->index);
    }
  
  FOR_EACH_EDGE (e, ei, bb->succs)
    {
      if (e->dest->index == i)
	continue;
      
      if (!TEST_BIT (dataflow->considered, e->dest->index))
	continue;
      if (!TEST_BIT (dataflow->visited, e->dest->index))
	df_hybrid_search_forward (e->dest, dataflow, single_pass);
    }
}

static void
df_hybrid_search_backward (basic_block bb,
			   struct dataflow *dataflow,
			   bool single_pass)
{
  int result_changed;
  int i = bb->index;
  edge e;
  edge_iterator ei;
  
  SET_BIT (dataflow->visited, bb->index);
  gcc_assert (TEST_BIT (dataflow->pending, bb->index));
  RESET_BIT (dataflow->pending, i);

  /*  Calculate <conf_op> of predecessor_outs.  */
  if (EDGE_COUNT (bb->succs) > 0)
    FOR_EACH_EDGE (e, ei, bb->succs)					
      {								
	if (!TEST_BIT (dataflow->considered, e->dest->index))		
	  continue;							
	
	dataflow->problem->con_fun_n (dataflow, e);
      }								
  else if (dataflow->problem->con_fun_0)
    dataflow->problem->con_fun_0 (dataflow, bb);

  result_changed = dataflow->problem->trans_fun (dataflow, i);
  
  if (!result_changed || single_pass)
    return;
  
  FOR_EACH_EDGE (e, ei, bb->preds)
    {								
      if (e->src->index == i)
	continue;
      
      if (!TEST_BIT (dataflow->considered, e->src->index))
	continue;

      SET_BIT (dataflow->pending, e->src->index);
    }								
  
  FOR_EACH_EDGE (e, ei, bb->preds)
    {
      if (e->src->index == i)
	continue;

      if (!TEST_BIT (dataflow->considered, e->src->index))
	continue;
      
      if (!TEST_BIT (dataflow->visited, e->src->index))
	df_hybrid_search_backward (e->src, dataflow, single_pass);
    }
}


/* This function will perform iterative bitvector dataflow described
   by DATAFLOW, producing the in and out sets.  Only the part of the
   cfg induced by blocks in DATAFLOW->order is taken into account.

   SINGLE_PASS is true if you just want to make one pass over the
   blocks.  */

void
df_iterative_dataflow (struct dataflow *dataflow,
		       bitmap blocks_to_consider, bitmap blocks_to_init, 
		       int *blocks_in_postorder, int n_blocks, 
		       bool single_pass)
{
  unsigned int idx;
  int i;
  sbitmap visited = sbitmap_alloc (last_basic_block);
  sbitmap pending = sbitmap_alloc (last_basic_block);
  sbitmap considered = sbitmap_alloc (last_basic_block);
  bitmap_iterator bi;

  dataflow->visited = visited;
  dataflow->pending = pending;
  dataflow->considered = considered;

  sbitmap_zero (visited);
  sbitmap_zero (pending);
  sbitmap_zero (considered);

  gcc_assert (dataflow->problem->dir);

  EXECUTE_IF_SET_IN_BITMAP (blocks_to_consider, 0, idx, bi)
    {
      SET_BIT (considered, idx);
    }

  for (i = 0; i < n_blocks; i++)
    {
      idx = blocks_in_postorder[i];
      SET_BIT (pending, idx);
    };

  dataflow->problem->init_fun (dataflow, blocks_to_init);

  while (1)
    {

      /* For forward problems, you want to pass in reverse postorder
         and for backward problems you want postorder.  This has been
         shown to be as good as you can do by several people, the
         first being Mathew Hecht in his phd dissertation.

	 The nodes are passed into this function in postorder.  */

      if (dataflow->problem->dir == DF_FORWARD)
	{
	  for (i = n_blocks - 1 ; i >= 0 ; i--)
	    {
	      idx = blocks_in_postorder[i];
	      
	      if (TEST_BIT (pending, idx) && !TEST_BIT (visited, idx))
		df_hybrid_search_forward (BASIC_BLOCK (idx), dataflow, single_pass);
	    }
	}
      else
	{
	  for (i = 0; i < n_blocks; i++)
	    {
	      idx = blocks_in_postorder[i];
	      
	      if (TEST_BIT (pending, idx) && !TEST_BIT (visited, idx))
		df_hybrid_search_backward (BASIC_BLOCK (idx), dataflow, single_pass);
	    }
	}

      if (sbitmap_first_set_bit (pending) == -1)
	break;

      sbitmap_zero (visited);
    }

  sbitmap_free (pending);
  sbitmap_free (visited);
  sbitmap_free (considered);
}


/* Remove the entries not in BLOCKS from the LIST of length LEN, preserving
   the order of the remaining entries.  Returns the length of the resulting
   list.  */

static unsigned
df_prune_to_subcfg (int list[], unsigned len, bitmap blocks)
{
  unsigned act, last;

  for (act = 0, last = 0; act < len; act++)
    if (bitmap_bit_p (blocks, list[act]))
      list[last++] = list[act];

  return last;
}


/* Execute dataflow analysis on a single dataflow problem. 

   There are three sets of blocks passed in: 

   BLOCKS_TO_CONSIDER are the blocks whose solution can either be
   examined or will be computed.  For calls from DF_ANALYZE, this is
   the set of blocks that has been passed to DF_SET_BLOCKS.  For calls
   from DF_ANALYZE_SIMPLE_CHANGE_SOME_BLOCKS, this is the set of
   blocks in the fringe (the set of blocks passed in plus the set of
   immed preds and succs of those blocks).

   BLOCKS_TO_INIT are the blocks whose solution will be changed by
   this iteration.  For calls from DF_ANALYZE, this is the set of
   blocks that has been passed to DF_SET_BLOCKS.  For calls from
   DF_ANALYZE_SIMPLE_CHANGE_SOME_BLOCKS, this is the set of blocks
   passed in.

   BLOCKS_TO_SCAN are the set of blocks that need to be rescanned.
   For calls from DF_ANALYZE, this is the accumulated set of blocks
   that has been passed to DF_RESCAN_BLOCKS since the last call to
   DF_ANALYZE.  For calls from DF_ANALYZE_SIMPLE_CHANGE_SOME_BLOCKS,
   this is the set of blocks passed in.
 
                   blocks_to_consider    blocks_to_init    blocks_to_scan
   full redo       all                   all               all
   partial redo    all                   all               sub
   small fixup     fringe                sub               sub
*/

void
df_analyze_problem (struct dataflow *dflow, 
		    bitmap blocks_to_consider, 
		    bitmap blocks_to_init,
		    bitmap blocks_to_scan,
		    int *postorder, int n_blocks, bool single_pass)
{
  /* (Re)Allocate the datastructures necessary to solve the problem.  */ 
  if (dflow->problem->alloc_fun)
    dflow->problem->alloc_fun (dflow, blocks_to_scan, blocks_to_init);

  /* Set up the problem and compute the local information.  This
     function is passed both the blocks_to_consider and the
     blocks_to_scan because the RD and RU problems require the entire
     function to be rescanned if they are going to be updated.  */
  if (dflow->problem->local_compute_fun)
    dflow->problem->local_compute_fun (dflow, blocks_to_consider, blocks_to_scan);

  /* Solve the equations.  */
  if (dflow->problem->dataflow_fun)
    dflow->problem->dataflow_fun (dflow, blocks_to_consider, blocks_to_init,
				  postorder, n_blocks, single_pass);

  /* Massage the solution.  */
  if (dflow->problem->finalize_fun)
    dflow->problem->finalize_fun (dflow, blocks_to_consider);
}


/* Analyze dataflow info for the basic blocks specified by the bitmap
   BLOCKS, or for the whole CFG if BLOCKS is zero.  */

void
df_analyze (struct df *df)
{
  int *postorder = XNEWVEC (int, last_basic_block);
  bitmap current_all_blocks = BITMAP_ALLOC (NULL);
  int n_blocks;
  int i;
  bool everything;

  n_blocks = post_order_compute (postorder, true);

  if (n_blocks != n_basic_blocks)
    delete_unreachable_blocks ();

  for (i = 0; i < n_blocks; i++)
    bitmap_set_bit (current_all_blocks, postorder[i]);

  /* No one called df_rescan_blocks, so do it.  */
  if (!df->blocks_to_scan)
    df_rescan_blocks (df, NULL);

  /* Make sure that we have pruned any unreachable blocks from these
     sets.  */
  bitmap_and_into (df->blocks_to_scan, current_all_blocks);

  if (df->blocks_to_analyze)
    {
      everything = false;
      bitmap_and_into (df->blocks_to_analyze, current_all_blocks);
      n_blocks = df_prune_to_subcfg (postorder, n_blocks, df->blocks_to_analyze);
      BITMAP_FREE (current_all_blocks);
    }
  else
    {
      everything = true;
      df->blocks_to_analyze = current_all_blocks;
      current_all_blocks = NULL;
    }

  /* Skip over the DF_SCAN problem. */
  for (i = 1; i < df->num_problems_defined; i++)
    df_analyze_problem (df->problems_in_order[i], 
			df->blocks_to_analyze, df->blocks_to_analyze, 
			df->blocks_to_scan,
			postorder, n_blocks, false);

  if (everything)
    {
      BITMAP_FREE (df->blocks_to_analyze);
      df->blocks_to_analyze = NULL;
    }

  BITMAP_FREE (df->blocks_to_scan);
  df->blocks_to_scan = NULL;
  free (postorder);
}



/*----------------------------------------------------------------------------
   Functions to support limited incremental change.
----------------------------------------------------------------------------*/


/* Get basic block info.  */

static void *
df_get_bb_info (struct dataflow *dflow, unsigned int index)
{
  return (struct df_scan_bb_info *) dflow->block_info[index];
}


/* Set basic block info.  */

static void
df_set_bb_info (struct dataflow *dflow, unsigned int index, 
		void *bb_info)
{
  dflow->block_info[index] = bb_info;
}


/* Called from the rtl_compact_blocks to reorganize the problems basic
   block info.  */

void 
df_compact_blocks (struct df *df)
{
  int i, p;
  basic_block bb;
  void **problem_temps;
  int size = last_basic_block *sizeof (void *);
  problem_temps = xmalloc (size);

  for (p = 0; p < df->num_problems_defined; p++)
    {
      struct dataflow *dflow = df->problems_in_order[p];
      if (dflow->problem->free_bb_fun)
	{
	  df_grow_bb_info (dflow);
	  memcpy (problem_temps, dflow->block_info, size);

	  /* Copy the bb info from the problem tmps to the proper
	     place in the block_info vector.  Null out the copied
	     item.  */
	  i = NUM_FIXED_BLOCKS;
	  FOR_EACH_BB (bb) 
	    {
	      df_set_bb_info (dflow, i, problem_temps[bb->index]);
	      problem_temps[bb->index] = NULL;
	      i++;
	    }
	  memset (dflow->block_info + i, 0, 
		  (last_basic_block - i) *sizeof (void *));

	  /* Free any block infos that were not copied (and NULLed).
	     These are from orphaned blocks.  */
	  for (i = NUM_FIXED_BLOCKS; i < last_basic_block; i++)
	    {
	      basic_block bb = BASIC_BLOCK (i); 
	      if (problem_temps[i] && bb)
		dflow->problem->free_bb_fun
		  (dflow, bb, problem_temps[i]);
	    }
	}
    }

  free (problem_temps);

  i = NUM_FIXED_BLOCKS;
  FOR_EACH_BB (bb) 
    {
      SET_BASIC_BLOCK (i, bb);
      bb->index = i;
      i++;
    }

  gcc_assert (i == n_basic_blocks);

  for (; i < last_basic_block; i++)
    SET_BASIC_BLOCK (i, NULL);
}


/* Shove NEW_BLOCK in at OLD_INDEX.  Called from if-cvt to hack a
   block.  There is no excuse for people to do this kind of thing.  */

void 
df_bb_replace (struct df *df, int old_index, basic_block new_block)
{
  int p;

  for (p = 0; p < df->num_problems_defined; p++)
    {
      struct dataflow *dflow = df->problems_in_order[p];
      if (dflow->block_info)
	{
	  void *temp;

	  df_grow_bb_info (dflow);

	  /* The old switcheroo.  */

	  temp = df_get_bb_info (dflow, old_index);
	  df_set_bb_info (dflow, old_index, 
			  df_get_bb_info (dflow, new_block->index));
	  df_set_bb_info (dflow, new_block->index, temp);
	}
    }

  SET_BASIC_BLOCK (old_index, new_block);
  new_block->index = old_index;
}

/*----------------------------------------------------------------------------
   PUBLIC INTERFACES TO QUERY INFORMATION.
----------------------------------------------------------------------------*/


/* Return last use of REGNO within BB.  */

struct df_ref *
df_bb_regno_last_use_find (struct df *df, basic_block bb, unsigned int regno)
{
  rtx insn;
  struct df_ref *use;
  unsigned int uid;

  FOR_BB_INSNS_REVERSE (bb, insn)
    {
      if (!INSN_P (insn))
	continue;

      uid = INSN_UID (insn);
      for (use = DF_INSN_UID_GET (df, uid)->uses; use; use = use->next_ref)
	if (DF_REF_REGNO (use) == regno)
	  return use;
    }
  return NULL;
}


/* Return first def of REGNO within BB.  */

struct df_ref *
df_bb_regno_first_def_find (struct df *df, basic_block bb, unsigned int regno)
{
  rtx insn;
  struct df_ref *def;
  unsigned int uid;

  FOR_BB_INSNS (bb, insn)
    {
      if (!INSN_P (insn))
	continue;

      uid = INSN_UID (insn);
      for (def = DF_INSN_UID_GET (df, uid)->defs; def; def = def->next_ref)
	if (DF_REF_REGNO (def) == regno)
	  return def;
    }
  return NULL;
}


/* Return last def of REGNO within BB.  */

struct df_ref *
df_bb_regno_last_def_find (struct df *df, basic_block bb, unsigned int regno)
{
  rtx insn;
  struct df_ref *def;
  unsigned int uid;

  FOR_BB_INSNS_REVERSE (bb, insn)
    {
      if (!INSN_P (insn))
	continue;

      uid = INSN_UID (insn);
      for (def = DF_INSN_UID_GET (df, uid)->defs; def; def = def->next_ref)
	if (DF_REF_REGNO (def) == regno)
	  return def;
    }

  return NULL;
}

/* Return true if INSN defines REGNO.  */

bool
df_insn_regno_def_p (struct df *df, rtx insn, unsigned int regno)
{
  unsigned int uid;
  struct df_ref *def;

  uid = INSN_UID (insn);
  for (def = DF_INSN_UID_GET (df, uid)->defs; def; def = def->next_ref)
    if (DF_REF_REGNO (def) == regno)
      return true;
  
  return false;
}


/* Finds the reference corresponding to the definition of REG in INSN.
   DF is the dataflow object.  */

struct df_ref *
df_find_def (struct df *df, rtx insn, rtx reg)
{
  unsigned int uid;
  struct df_ref *def;

  if (GET_CODE (reg) == SUBREG)
    reg = SUBREG_REG (reg);
  gcc_assert (REG_P (reg));

  uid = INSN_UID (insn);
  for (def = DF_INSN_UID_GET (df, uid)->defs; def; def = def->next_ref)
    if (rtx_equal_p (DF_REF_REAL_REG (def), reg))
      return def;

  return NULL;
}


/* Return true if REG is defined in INSN, zero otherwise.  */ 

bool
df_reg_defined (struct df *df, rtx insn, rtx reg)
{
  return df_find_def (df, insn, reg) != NULL;
}
  

/* Finds the reference corresponding to the use of REG in INSN.
   DF is the dataflow object.  */
  
struct df_ref *
df_find_use (struct df *df, rtx insn, rtx reg)
{
  unsigned int uid;
  struct df_ref *use;

  if (GET_CODE (reg) == SUBREG)
    reg = SUBREG_REG (reg);
  gcc_assert (REG_P (reg));

  uid = INSN_UID (insn);
  for (use = DF_INSN_UID_GET (df, uid)->uses; use; use = use->next_ref)
    if (rtx_equal_p (DF_REF_REAL_REG (use), reg))
      return use; 

  return NULL;
}


/* Return true if REG is referenced in INSN, zero otherwise.  */ 

bool
df_reg_used (struct df *df, rtx insn, rtx reg)
{
  return df_find_use (df, insn, reg) != NULL;
}
  

/*----------------------------------------------------------------------------
   Debugging and printing functions.
----------------------------------------------------------------------------*/

/* Dump dataflow info.  */
void
df_dump (struct df *df, FILE *file)
{
  int i;

  if (!df || !file)
    return;

  fprintf (file, "\n\n%s\n", current_function_name ());
  fprintf (file, "\nDataflow summary:\n");
  fprintf (file, "def_info->bitmap_size = %d, use_info->bitmap_size = %d\n",
	   df->def_info.bitmap_size, df->use_info.bitmap_size);

  for (i = 0; i < df->num_problems_defined; i++)
    df->problems_in_order[i]->problem->dump_fun (df->problems_in_order[i], file); 

  fprintf (file, "\n");
}


void
df_refs_chain_dump (struct df_ref *ref, bool follow_chain, FILE *file)
{
  fprintf (file, "{ ");
  while (ref)
    {
      fprintf (file, "%c%d(%d) ",
	       DF_REF_REG_DEF_P (ref) ? 'd' : 'u',
	       DF_REF_ID (ref),
	       DF_REF_REGNO (ref));
      if (follow_chain)
	df_chain_dump (DF_REF_CHAIN (ref), file);
      ref = ref->next_ref;
    }
  fprintf (file, "}");
}


/* Dump either a ref-def or reg-use chain.  */

void
df_regs_chain_dump (struct df *df ATTRIBUTE_UNUSED, struct df_ref *ref,  FILE *file)
{
  fprintf (file, "{ ");
  while (ref)
    {
      fprintf (file, "%c%d(%d) ",
	       DF_REF_REG_DEF_P (ref) ? 'd' : 'u',
	       DF_REF_ID (ref),
	       DF_REF_REGNO (ref));
      ref = ref->next_reg;
    }
  fprintf (file, "}");
}


static void
df_mws_dump (struct df_mw_hardreg *mws, FILE *file)
{
  while (mws)
    {
      struct df_link *regs = mws->regs;
      fprintf (file, "%c%d(", 
	       (mws->type == DF_REF_REG_DEF) ? 'd' : 'u',
	       DF_REF_REGNO (regs->ref));
      while (regs)
	{
	  fprintf (file, "%d ", DF_REF_REGNO (regs->ref));
	  regs = regs->next;
	}

      fprintf (file, ") "); 
      mws = mws->next;
    }
}


static void 
df_insn_uid_debug (struct df *df, unsigned int uid, 
		   bool follow_chain, FILE *file)
{
  int bbi;

  if (DF_INSN_UID_DEFS (df, uid))
    bbi = DF_REF_BBNO (DF_INSN_UID_DEFS (df, uid));
  else if (DF_INSN_UID_USES(df, uid))
    bbi = DF_REF_BBNO (DF_INSN_UID_USES (df, uid));
  else
    bbi = -1;

  fprintf (file, "insn %d bb %d luid %d",
	   uid, bbi, DF_INSN_UID_LUID (df, uid));

  if (DF_INSN_UID_DEFS (df, uid))
    {
      fprintf (file, " defs ");
      df_refs_chain_dump (DF_INSN_UID_DEFS (df, uid), follow_chain, file);
    }

  if (DF_INSN_UID_USES (df, uid))
    {
      fprintf (file, " uses ");
      df_refs_chain_dump (DF_INSN_UID_USES (df, uid), follow_chain, file);
    }

  if (DF_INSN_UID_MWS (df, uid))
    {
      fprintf (file, " mws ");
      df_mws_dump (DF_INSN_UID_MWS (df, uid), file);
    }
  fprintf (file, "\n");
}


void
df_insn_debug (struct df *df, rtx insn, bool follow_chain, FILE *file)
{
  df_insn_uid_debug (df, INSN_UID (insn), follow_chain, file);
}

void
df_insn_debug_regno (struct df *df, rtx insn, FILE *file)
{
  unsigned int uid;
  int bbi;

  uid = INSN_UID (insn);
  if (DF_INSN_UID_DEFS (df, uid))
    bbi = DF_REF_BBNO (DF_INSN_UID_DEFS (df, uid));
  else if (DF_INSN_UID_USES(df, uid))
    bbi = DF_REF_BBNO (DF_INSN_UID_USES (df, uid));
  else
    bbi = -1;

  fprintf (file, "insn %d bb %d luid %d defs ",
	   uid, bbi, DF_INSN_LUID (df, insn));
  df_regs_chain_dump (df, DF_INSN_UID_DEFS (df, uid), file);
    
  fprintf (file, " uses ");
  df_regs_chain_dump (df, DF_INSN_UID_USES (df, uid), file);
  fprintf (file, "\n");
}

void
df_regno_debug (struct df *df, unsigned int regno, FILE *file)
{
  fprintf (file, "reg %d defs ", regno);
  df_regs_chain_dump (df, DF_REG_DEF_GET (df, regno)->reg_chain, file);
  fprintf (file, " uses ");
  df_regs_chain_dump (df, DF_REG_USE_GET (df, regno)->reg_chain, file);
  fprintf (file, "\n");
}


void
df_ref_debug (struct df_ref *ref, FILE *file)
{
  fprintf (file, "%c%d ",
	   DF_REF_REG_DEF_P (ref) ? 'd' : 'u',
	   DF_REF_ID (ref));
  fprintf (file, "reg %d bb %d insn %d flag %x chain ",
	   DF_REF_REGNO (ref),
	   DF_REF_BBNO (ref),
	   DF_REF_INSN (ref) ? INSN_UID (DF_REF_INSN (ref)) : -1,
	   DF_REF_FLAGS (ref));
  df_chain_dump (DF_REF_CHAIN (ref), file);
  fprintf (file, "\n");
}

/* Functions for debugging from GDB.  */

void
debug_df_insn (rtx insn)
{
  df_insn_debug (ddf, insn, true, stderr);
  debug_rtx (insn);
}


void
debug_df_reg (rtx reg)
{
  df_regno_debug (ddf, REGNO (reg), stderr);
}


void
debug_df_regno (unsigned int regno)
{
  df_regno_debug (ddf, regno, stderr);
}


void
debug_df_ref (struct df_ref *ref)
{
  df_ref_debug (ref, stderr);
}


void
debug_df_defno (unsigned int defno)
{
  df_ref_debug (DF_DEFS_GET (ddf, defno), stderr);
}


void
debug_df_useno (unsigned int defno)
{
  df_ref_debug (DF_USES_GET (ddf, defno), stderr);
}


void
debug_df_chain (struct df_link *link)
{
  df_chain_dump (link, stderr);
  fputc ('\n', stderr);
}