gcc/graphite-optimize-isl.c

   1 /* A scheduling optimizer for Graphite
   2    Copyright (C) 2012-2013 Free Software Foundation, Inc.
   3    Contributed by Tobias Grosser <tobias@grosser.es>.
   4
   5 This file is part of GCC.
   6
   7 GCC is free software; you can redistribute it and/or modify
   8 it under the terms of the GNU General Public License as published by
   9 the Free Software Foundation; either version 3, or (at your option)
  10 any later version.
  11
  12 GCC is distributed in the hope that it will be useful,
  13 but WITHOUT ANY WARRANTY; without even the implied warranty of
  14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  15 GNU General Public License for more details.
  16
  17 You should have received a copy of the GNU General Public License
  18 along with GCC; see the file COPYING3.  If not see
  19 <http://www.gnu.org/licenses/>.  */
  20
  21 #include "config.h"
  22
  23 #ifdef HAVE_cloog
  24 #include <isl/set.h>
  25 #include <isl/map.h>
  26 #include <isl/union_map.h>
  27 #include <isl/schedule.h>
  28 #include <isl/band.h>
  29 #include <isl/aff.h>
  30 #include <isl/options.h>
  31 #endif
  32
  33 #include "system.h"
  34 #include "coretypes.h"
  35 #include "tree-flow.h"
  36 #include "dumpfile.h"
  37 #include "cfgloop.h"
  38 #include "tree-chrec.h"
  39 #include "tree-data-ref.h"
  40 #include "tree-scalar-evolution.h"
  41 #include "sese.h"
  42
  43 #ifdef HAVE_cloog
  44 #include "graphite-poly.h"
  45
  46 static isl_union_set *
  47 scop_get_domains (scop_p scop ATTRIBUTE_UNUSED)
  48 {
  49   int i;
  50   poly_bb_p pbb;
  51   isl_space *space = isl_set_get_space (scop->context);
  52   isl_union_set *res = isl_union_set_empty (space);
  53
  54   FOR_EACH_VEC_ELT (scop->bbs, i, pbb)
  55     res = isl_union_set_add_set (res, isl_set_copy (pbb->domain));
  56
  57   return res;
  58 }
  59
  60 static isl_union_map *
  61 scop_get_dependences (scop_p scop)
  62 {
  63   isl_union_map *dependences;
  64
  65   if (!scop->must_raw)
  66     compute_deps (scop, SCOP_BBS (scop),
  67                   &scop->must_raw, &scop->may_raw,
  68                   &scop->must_raw_no_source, &scop->may_raw_no_source,
  69                   &scop->must_war, &scop->may_war,
  70                   &scop->must_war_no_source, &scop->may_war_no_source,
  71                   &scop->must_waw, &scop->may_waw,
  72                   &scop->must_waw_no_source, &scop->may_waw_no_source);
  73
  74   dependences = isl_union_map_copy (scop->must_raw);
  75   dependences = isl_union_map_union (dependences,
  76                                      isl_union_map_copy (scop->must_war));
  77   dependences = isl_union_map_union (dependences,
  78                                      isl_union_map_copy (scop->must_waw));
  79   dependences = isl_union_map_union (dependences,
  80                                      isl_union_map_copy (scop->may_raw));
  81   dependences = isl_union_map_union (dependences,
  82                                      isl_union_map_copy (scop->may_war));
  83   dependences = isl_union_map_union (dependences,
  84                                      isl_union_map_copy (scop->may_waw));
  85
  86   return dependences;
  87 }
  88
  89 /* getTileMap - Create a map that describes a n-dimensonal tiling.
  90
  91    getTileMap creates a map from a n-dimensional scattering space into an
  92    2*n-dimensional scattering space. The map describes a rectangular tiling.
  93
  94    Example:
  95      scheduleDimensions = 2, parameterDimensions = 1, tileSize = 32
  96
  97     tileMap := [p0] -> {[s0, s1] -> [t0, t1, s0, s1]:
  98                          t0 % 32 = 0 and t0 <= s0 < t0 + 32 and
  99                          t1 % 32 = 0 and t1 <= s1 < t1 + 32}
 100
 101    Before tiling:
 102
 103    for (i = 0; i < N; i++)
 104      for (j = 0; j < M; j++)
 105         S(i,j)
 106
 107    After tiling:
 108
 109    for (t_i = 0; t_i < N; i+=32)
 110      for (t_j = 0; t_j < M; j+=32)
 111         for (i = t_i; i < min(t_i + 32, N); i++)  | Unknown that N % 32 = 0
 112           for (j = t_j; j < t_j + 32; j++)        |   Known that M % 32 = 0
 113             S(i,j)
 114    */
 115
 116 static isl_basic_map *
 117 getTileMap(isl_ctx *ctx, int scheduleDimensions, int tileSize)
 118 {
 119   int x;
 120   /* We construct
 121
 122      tileMap := [p0] -> {[s0, s1] -> [t0, t1, p0, p1, a0, a1]:
 123                         s0 = a0 * 32 and s0 = p0 and t0 <= p0 < t0 + 32 and
 124                         s1 = a1 * 32 and s1 = p1 and t1 <= p1 < t1 + 32}
 125
 126      and project out the auxilary dimensions a0 and a1.  */
 127   isl_space *Space = isl_space_alloc(ctx, 0, scheduleDimensions,
 128                                      scheduleDimensions * 3);
 129   isl_basic_map *tileMap = isl_basic_map_universe(isl_space_copy(Space));
 130
 131   isl_local_space *LocalSpace = isl_local_space_from_space(Space);
 132
 133   for (x = 0; x < scheduleDimensions; x++)
 134     {
 135       int sX = x;
 136       int tX = x;
 137       int pX = scheduleDimensions + x;
 138       int aX = 2 * scheduleDimensions + x;
 139
 140       isl_constraint *c;
 141
 142       /* sX = aX * tileSize; */
 143       c = isl_equality_alloc(isl_local_space_copy(LocalSpace));
 144       isl_constraint_set_coefficient_si(c, isl_dim_out, sX, 1);
 145       isl_constraint_set_coefficient_si(c, isl_dim_out, aX, -tileSize);
 146       tileMap = isl_basic_map_add_constraint(tileMap, c);
 147
 148       /* pX = sX; */
 149       c = isl_equality_alloc(isl_local_space_copy(LocalSpace));
 150       isl_constraint_set_coefficient_si(c, isl_dim_out, pX, 1);
 151       isl_constraint_set_coefficient_si(c, isl_dim_in, sX, -1);
 152       tileMap = isl_basic_map_add_constraint(tileMap, c);
 153
 154       /* tX <= pX */
 155       c = isl_inequality_alloc(isl_local_space_copy(LocalSpace));
 156       isl_constraint_set_coefficient_si(c, isl_dim_out, pX, 1);
 157       isl_constraint_set_coefficient_si(c, isl_dim_out, tX, -1);
 158       tileMap = isl_basic_map_add_constraint(tileMap, c);
 159
 160       /* pX <= tX + (tileSize - 1) */
 161       c = isl_inequality_alloc(isl_local_space_copy(LocalSpace));
 162       isl_constraint_set_coefficient_si(c, isl_dim_out, tX, 1);
 163       isl_constraint_set_coefficient_si(c, isl_dim_out, pX, -1);
 164       isl_constraint_set_constant_si(c, tileSize - 1);
 165       tileMap = isl_basic_map_add_constraint(tileMap, c);
 166     }
 167
 168   /* Project out auxiliary dimensions.
 169
 170      The auxiliary dimensions are transformed into existentially quantified ones.
 171      This reduces the number of visible scattering dimensions and allows Cloog
 172      to produces better code.  */
 173   tileMap = isl_basic_map_project_out(tileMap, isl_dim_out,
 174                                       2 * scheduleDimensions,
 175                                       scheduleDimensions);
 176   isl_local_space_free(LocalSpace);
 177   return tileMap;
 178 }
 179
 180 /* getScheduleForBand - Get the schedule for this band.
 181
 182    Polly applies transformations like tiling on top of the isl calculated value.
 183    This can influence the number of scheduling dimension. The number of
 184    schedule dimensions is returned in the parameter 'Dimension'.  */
 185 static bool DisableTiling = false;
 186
 187 static isl_union_map *
 188 getScheduleForBand(isl_band *Band, int *Dimensions)
 189 {
 190   isl_union_map *PartialSchedule;
 191   isl_ctx *ctx;
 192   isl_space *Space;
 193   isl_basic_map *TileMap;
 194   isl_union_map *TileUMap;
 195
 196   PartialSchedule = isl_band_get_partial_schedule(Band);
 197   *Dimensions = isl_band_n_member(Band);
 198
 199   if (DisableTiling)
 200     return PartialSchedule;
 201
 202   /* It does not make any sense to tile a band with just one dimension.  */
 203   if (*Dimensions == 1)
 204     return PartialSchedule;
 205
 206   ctx = isl_union_map_get_ctx(PartialSchedule);
 207   Space = isl_union_map_get_space(PartialSchedule);
 208
 209   TileMap = getTileMap(ctx, *Dimensions, 32);
 210   TileUMap = isl_union_map_from_map(isl_map_from_basic_map(TileMap));
 211   TileUMap = isl_union_map_align_params(TileUMap, Space);
 212   *Dimensions = 2 * *Dimensions;
 213
 214   return isl_union_map_apply_range(PartialSchedule, TileUMap);
 215 }
 216
 217 /* Create a map that pre-vectorizes one scheduling dimension.
 218
 219    getPrevectorMap creates a map that maps each input dimension to the same
 220    output dimension, except for the dimension DimToVectorize. DimToVectorize is
 221    strip mined by 'VectorWidth' and the newly created point loop of
 222    DimToVectorize is moved to the innermost level.
 223
 224    Example (DimToVectorize=0, ScheduleDimensions=2, VectorWidth=4):
 225
 226    | Before transformation
 227    |
 228    | A[i,j] -> [i,j]
 229    |
 230    | for (i = 0; i < 128; i++)
 231    |    for (j = 0; j < 128; j++)
 232    |      A(i,j);
 233
 234      Prevector map:
 235      [i,j] -> [it,j,ip] : it % 4 = 0 and it <= ip <= it + 3 and i = ip
 236
 237    | After transformation:
 238    |
 239    | A[i,j] -> [it,j,ip] : it % 4 = 0 and it <= ip <= it + 3 and i = ip
 240    |
 241    | for (it = 0; it < 128; it+=4)
 242    |    for (j = 0; j < 128; j++)
 243    |      for (ip = max(0,it); ip < min(128, it + 3); ip++)
 244    |        A(ip,j);
 245
 246    The goal of this transformation is to create a trivially vectorizable loop.
 247    This means a parallel loop at the innermost level that has a constant number
 248    of iterations corresponding to the target vector width.
 249
 250    This transformation creates a loop at the innermost level. The loop has a
 251    constant number of iterations, if the number of loop iterations at
 252    DimToVectorize can be devided by VectorWidth. The default VectorWidth is
 253    currently constant and not yet target specific. This function does not reason
 254    about parallelism.  */
 255 static isl_map *
 256 getPrevectorMap(isl_ctx *ctx, int DimToVectorize,
 257                 int ScheduleDimensions,
 258                 int VectorWidth)
 259 {
 260   isl_space *Space;
 261   isl_local_space *LocalSpace, *LocalSpaceRange;
 262   isl_set *Modulo;
 263   isl_map *TilingMap;
 264   isl_constraint *c;
 265   isl_aff *Aff;
 266   int PointDimension; /* ip */
 267   int TileDimension;  /* it */
 268   isl_int VectorWidthMP;
 269   int i;
 270
 271   /* assert (0 <= DimToVectorize && DimToVectorize < ScheduleDimensions);*/
 272
 273   Space = isl_space_alloc(ctx, 0, ScheduleDimensions, ScheduleDimensions + 1);
 274   TilingMap = isl_map_universe(isl_space_copy(Space));
 275   LocalSpace = isl_local_space_from_space(Space);
 276   PointDimension = ScheduleDimensions;
 277   TileDimension = DimToVectorize;
 278
 279   /* Create an identity map for everything except DimToVectorize and map
 280      DimToVectorize to the point loop at the innermost dimension.  */
 281   for (i = 0; i < ScheduleDimensions; i++)
 282     {
 283       c = isl_equality_alloc(isl_local_space_copy(LocalSpace));
 284       isl_constraint_set_coefficient_si(c, isl_dim_in, i, -1);
 285
 286       if (i == DimToVectorize)
 287         isl_constraint_set_coefficient_si(c, isl_dim_out, PointDimension, 1);
 288       else
 289         isl_constraint_set_coefficient_si(c, isl_dim_out, i, 1);
 290
 291       TilingMap = isl_map_add_constraint(TilingMap, c);
 292     }
 293
 294   /* it % 'VectorWidth' = 0  */
 295   LocalSpaceRange = isl_local_space_range(isl_local_space_copy(LocalSpace));
 296   Aff = isl_aff_zero_on_domain(LocalSpaceRange);
 297   Aff = isl_aff_set_constant_si(Aff, VectorWidth);
 298   Aff = isl_aff_set_coefficient_si(Aff, isl_dim_in, TileDimension, 1);
 299   isl_int_init(VectorWidthMP);
 300   isl_int_set_si(VectorWidthMP, VectorWidth);
 301   Aff = isl_aff_mod(Aff, VectorWidthMP);
 302   isl_int_clear(VectorWidthMP);
 303   Modulo = isl_pw_aff_zero_set(isl_pw_aff_from_aff(Aff));
 304   TilingMap = isl_map_intersect_range(TilingMap, Modulo);
 305
 306   /* it <= ip */
 307   c = isl_inequality_alloc(isl_local_space_copy(LocalSpace));
 308   isl_constraint_set_coefficient_si(c, isl_dim_out, TileDimension, -1);
 309   isl_constraint_set_coefficient_si(c, isl_dim_out, PointDimension, 1);
 310   TilingMap = isl_map_add_constraint(TilingMap, c);
 311
 312   /* ip <= it + ('VectorWidth' - 1) */
 313   c = isl_inequality_alloc(LocalSpace);
 314   isl_constraint_set_coefficient_si(c, isl_dim_out, TileDimension, 1);
 315   isl_constraint_set_coefficient_si(c, isl_dim_out, PointDimension, -1);
 316   isl_constraint_set_constant_si(c, VectorWidth - 1);
 317   TilingMap = isl_map_add_constraint(TilingMap, c);
 318
 319   isl_map_dump(TilingMap);
 320
 321   return TilingMap;
 322 }
 323
 324 static bool EnablePollyVector = false;
 325
 326 /* getScheduleForBandList - Get the scheduling map for a list of bands.
 327
 328    We walk recursively the forest of bands to combine the schedules of the
 329    individual bands to the overall schedule. In case tiling is requested,
 330    the individual bands are tiled.  */
 331 static isl_union_map *
 332 getScheduleForBandList(isl_band_list *BandList)
 333 {
 334   int NumBands, i;
 335   isl_union_map *Schedule;
 336   isl_ctx *ctx;
 337
 338   ctx = isl_band_list_get_ctx(BandList);
 339   NumBands = isl_band_list_n_band(BandList);
 340   Schedule = isl_union_map_empty(isl_space_params_alloc(ctx, 0));
 341
 342   for (i = 0; i < NumBands; i++)
 343     {
 344       isl_band *Band;
 345       isl_union_map *PartialSchedule;
 346       int ScheduleDimensions;
 347       isl_space *Space;
 348
 349       Band = isl_band_list_get_band(BandList, i);
 350       PartialSchedule = getScheduleForBand(Band, &ScheduleDimensions);
 351       Space = isl_union_map_get_space(PartialSchedule);
 352
 353       if (isl_band_has_children(Band))
 354         {
 355           isl_band_list *Children;
 356           isl_union_map *SuffixSchedule;
 357
 358           Children = isl_band_get_children(Band);
 359           SuffixSchedule = getScheduleForBandList(Children);
 360           PartialSchedule = isl_union_map_flat_range_product(PartialSchedule,
 361                                                              SuffixSchedule);
 362           isl_band_list_free(Children);
 363         }
 364       else if (EnablePollyVector)
 365         {
 366           for (i = ScheduleDimensions - 1 ;  i >= 0 ; i--)
 367             {
 368               if (isl_band_member_is_zero_distance(Band, i))
 369                 {
 370                   isl_map *TileMap;
 371                   isl_union_map *TileUMap;
 372
 373                   TileMap = getPrevectorMap(ctx, i, ScheduleDimensions, 4);
 374                   TileUMap = isl_union_map_from_map(TileMap);
 375                   TileUMap = isl_union_map_align_params(TileUMap,
 376                                                         isl_space_copy(Space));
 377                   PartialSchedule = isl_union_map_apply_range(PartialSchedule,
 378                                                               TileUMap);
 379                   break;
 380                 }
 381             }
 382         }
 383
 384       Schedule = isl_union_map_union(Schedule, PartialSchedule);
 385
 386       isl_band_free(Band);
 387       isl_space_free(Space);
 388     }
 389
 390   return Schedule;
 391 }
 392
 393 static isl_union_map *
 394 getScheduleMap(isl_schedule *Schedule)
 395 {
 396   isl_band_list *BandList = isl_schedule_get_band_forest(Schedule);
 397   isl_union_map *ScheduleMap = getScheduleForBandList(BandList);
 398   isl_band_list_free(BandList);
 399   return ScheduleMap;
 400 }
 401
 402 static int
 403 getSingleMap(__isl_take isl_map *map, void *user)
 404 {
 405   isl_map **singleMap = (isl_map **) user;
 406   *singleMap = map;
 407
 408   return 0;
 409 }
 410
 411 static void
 412 apply_schedule_map_to_scop (scop_p scop, isl_union_map *schedule_map)
 413 {
 414   int i;
 415   poly_bb_p pbb;
 416
 417   FOR_EACH_VEC_ELT (scop->bbs, i, pbb)
 418     {
 419       isl_set *domain = isl_set_copy (pbb->domain);
 420       isl_union_map *stmtBand;
 421       isl_map *stmtSchedule;
 422
 423       stmtBand = isl_union_map_intersect_domain(isl_union_map_copy(schedule_map),
 424                                                 isl_union_set_from_set(domain));
 425       isl_union_map_foreach_map(stmtBand, getSingleMap, &stmtSchedule);
 426       isl_map_free(pbb->transformed);
 427       pbb->transformed = stmtSchedule;
 428       isl_union_map_free(stmtBand);
 429     }
 430 }
 431
 432 static const int CONSTANT_BOUND = 20;
 433
 434 bool
 435 optimize_isl (scop_p scop)
 436 {
 437
 438   isl_schedule *schedule;
 439   isl_union_set *domain;
 440   isl_union_map *validity, *proximity, *dependences;
 441   isl_union_map *schedule_map;
 442
 443   domain = scop_get_domains (scop);
 444   dependences = scop_get_dependences (scop);
 445   dependences = isl_union_map_gist_domain(dependences,
 446                                           isl_union_set_copy(domain));
 447   dependences = isl_union_map_gist_range(dependences,
 448                                          isl_union_set_copy(domain));
 449   validity = dependences;
 450
 451   proximity = isl_union_map_copy (validity);
 452
 453   isl_options_set_schedule_max_constant_term(scop->ctx, CONSTANT_BOUND);
 454   isl_options_set_schedule_maximize_band_depth(scop->ctx, 1);
 455   isl_options_set_schedule_fuse(scop->ctx, ISL_SCHEDULE_FUSE_MIN);
 456   isl_options_set_on_error(scop->ctx, ISL_ON_ERROR_CONTINUE);
 457   schedule = isl_union_set_compute_schedule (domain, validity, proximity);
 458   isl_options_set_on_error(scop->ctx, ISL_ON_ERROR_ABORT);
 459
 460   if (!schedule)
 461     return false;
 462
 463   schedule_map = getScheduleMap (schedule);
 464
 465   apply_schedule_map_to_scop (scop, schedule_map);
 466
 467   isl_schedule_free (schedule);
 468   isl_union_map_free (schedule_map);
 469
 470   return true;
 471 }
 472
 473 #endif