--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/gcc/graphite-poly.c	Fri Feb 12 23:39:51 2010 +0900
@@ -0,0 +1,1002 @@
+/* Graphite polyhedral representation.
+   Copyright (C) 2009 Free Software Foundation, Inc.
+   Contributed by Sebastian Pop <sebastian.pop@amd.com> and
+   Tobias Grosser <grosser@fim.uni-passau.de>.
+
+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 3, 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 COPYING3.  If not see
+<http://www.gnu.org/licenses/>.  */
+#include "config.h"
+#include "system.h"
+#include "coretypes.h"
+#include "tm.h"
+#include "ggc.h"
+#include "tree.h"
+#include "rtl.h"
+#include "output.h"
+#include "basic-block.h"
+#include "diagnostic.h"
+#include "tree-flow.h"
+#include "toplev.h"
+#include "tree-dump.h"
+#include "timevar.h"
+#include "cfgloop.h"
+#include "tree-chrec.h"
+#include "tree-data-ref.h"
+#include "tree-scalar-evolution.h"
+#include "tree-pass.h"
+#include "domwalk.h"
+#include "value-prof.h"
+#include "pointer-set.h"
+#include "gimple.h"
+#include "params.h"
+
+#ifdef HAVE_cloog
+#include "cloog/cloog.h"
+#include "ppl_c.h"
+#include "sese.h"
+#include "graphite-ppl.h"
+#include "graphite.h"
+#include "graphite-poly.h"
+#include "graphite-dependences.h"
+
+/* Return the maximal loop depth in SCOP.  */
+
+int
+scop_max_loop_depth (scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+  int max_nb_loops = 0;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    {
+      int nb_loops = pbb_dim_iter_domain (pbb);
+      if (max_nb_loops < nb_loops)
+        max_nb_loops = nb_loops;
+    }
+
+  return max_nb_loops;
+}
+
+/* Extend the scattering matrix of PBB to MAX_SCATTERING scattering
+   dimensions.  */
+
+static void
+extend_scattering (poly_bb_p pbb, int max_scattering)
+{
+  ppl_dimension_type nb_old_dims, nb_new_dims;
+  int nb_added_dims, i;
+  ppl_Coefficient_t coef;
+  Value one;
+
+  nb_added_dims = max_scattering - pbb_nb_scattering_transform (pbb);
+  value_init (one);
+  value_set_si (one, 1);
+  ppl_new_Coefficient (&coef);
+  ppl_assign_Coefficient_from_mpz_t (coef, one);
+
+  gcc_assert (nb_added_dims >= 0);
+
+  nb_old_dims = pbb_nb_scattering_transform (pbb) + pbb_dim_iter_domain (pbb)
+    + scop_nb_params (PBB_SCOP (pbb));
+  nb_new_dims = nb_old_dims + nb_added_dims;
+
+  ppl_insert_dimensions (PBB_TRANSFORMED_SCATTERING (pbb),
+			 pbb_nb_scattering_transform (pbb), nb_added_dims);
+  PBB_NB_SCATTERING_TRANSFORM (pbb) += nb_added_dims;
+
+  /* Add identity matrix for the added dimensions.  */
+  for (i = max_scattering - nb_added_dims; i < max_scattering; i++)
+    {
+      ppl_Constraint_t cstr;
+      ppl_Linear_Expression_t expr;
+
+      ppl_new_Linear_Expression_with_dimension (&expr, nb_new_dims);
+      ppl_Linear_Expression_add_to_coefficient (expr, i, coef);
+      ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
+      ppl_Polyhedron_add_constraint (PBB_TRANSFORMED_SCATTERING (pbb), cstr);
+      ppl_delete_Constraint (cstr);
+      ppl_delete_Linear_Expression (expr);
+    }
+
+  ppl_delete_Coefficient (coef);
+  value_clear (one);
+}
+
+/* All scattering matrices in SCOP will have the same number of scattering
+   dimensions.  */
+
+int
+unify_scattering_dimensions (scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+  graphite_dim_t max_scattering = 0;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    max_scattering = MAX (pbb_nb_scattering_transform (pbb), max_scattering);
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    extend_scattering (pbb, max_scattering);
+
+  return max_scattering;
+}
+
+/* Prints to FILE the scattering function of PBB.  */
+
+void
+print_scattering_function (FILE *file, poly_bb_p pbb)
+{
+  graphite_dim_t i;
+
+  if (!PBB_TRANSFORMED (pbb))
+    return;
+
+  fprintf (file, "scattering bb_%d (\n", pbb_index (pbb));
+  fprintf (file, "#  eq");
+
+  for (i = 0; i < pbb_nb_scattering_transform (pbb); i++)
+    fprintf (file, "     s%d", (int) i);
+
+  for (i = 0; i < pbb_nb_local_vars (pbb); i++)
+    fprintf (file, "    lv%d", (int) i);
+
+  for (i = 0; i < pbb_dim_iter_domain (pbb); i++)
+    fprintf (file, "     i%d", (int) i);
+
+  for (i = 0; i < pbb_nb_params (pbb); i++)
+    fprintf (file, "     p%d", (int) i);
+
+  fprintf (file, "    cst\n");
+
+  ppl_print_polyhedron_matrix (file, PBB_TRANSFORMED_SCATTERING (pbb));
+
+  fprintf (file, ")\n");
+}
+
+/* Prints to FILE the iteration domain of PBB.  */
+
+void
+print_iteration_domain (FILE *file, poly_bb_p pbb)
+{
+  print_pbb_domain (file, pbb);
+}
+
+/* Prints to FILE the scattering functions of every PBB of SCOP.  */
+
+void
+print_scattering_functions (FILE *file, scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    print_scattering_function (file, pbb);
+}
+
+/* Prints to FILE the iteration domains of every PBB of SCOP.  */
+
+void
+print_iteration_domains (FILE *file, scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    print_iteration_domain (file, pbb);
+}
+
+/* Prints to STDERR the scattering function of PBB.  */
+
+void
+debug_scattering_function (poly_bb_p pbb)
+{
+  print_scattering_function (stderr, pbb);
+}
+
+/* Prints to STDERR the iteration domain of PBB.  */
+
+void
+debug_iteration_domain (poly_bb_p pbb)
+{
+  print_iteration_domain (stderr, pbb);
+}
+
+/* Prints to STDERR the scattering functions of every PBB of SCOP.  */
+
+void
+debug_scattering_functions (scop_p scop)
+{
+  print_scattering_functions (stderr, scop);
+}
+
+/* Prints to STDERR the iteration domains of every PBB of SCOP.  */
+
+void
+debug_iteration_domains (scop_p scop)
+{
+  print_iteration_domains (stderr, scop);
+}
+
+/* Apply graphite transformations to all the basic blocks of SCOP.  */
+
+bool
+apply_poly_transforms (scop_p scop)
+{
+  bool transform_done = false;
+
+  /* Generate code even if we did not apply any real transformation.
+     This also allows to check the performance for the identity
+     transformation: GIMPLE -> GRAPHITE -> GIMPLE
+     Keep in mind that CLooG optimizes in control, so the loop structure
+     may change, even if we only use -fgraphite-identity.  */
+  if (flag_graphite_identity)
+    transform_done = true;
+
+  if (flag_loop_parallelize_all)
+    transform_done = true;
+
+  if (flag_loop_block)
+    transform_done |= scop_do_block (scop);
+  else
+    {
+      if (flag_loop_strip_mine)
+	transform_done |= scop_do_strip_mine (scop);
+
+      if (flag_loop_interchange)
+	transform_done |= scop_do_interchange (scop);
+    }
+
+  return transform_done;
+}
+
+/* Returns true when it PDR1 is a duplicate of PDR2: same PBB, and
+   their ACCESSES, TYPE, and NB_SUBSCRIPTS are the same.  */
+
+static inline bool
+can_collapse_pdrs (poly_dr_p pdr1, poly_dr_p pdr2)
+{
+  bool res;
+  ppl_Pointset_Powerset_C_Polyhedron_t af1, af2, diff;
+
+  if (PDR_PBB (pdr1) != PDR_PBB (pdr2)
+      || PDR_NB_SUBSCRIPTS (pdr1) != PDR_NB_SUBSCRIPTS (pdr2)
+      || PDR_TYPE (pdr1) != PDR_TYPE (pdr2))
+    return false;
+
+  af1 = PDR_ACCESSES (pdr1);
+  af2 = PDR_ACCESSES (pdr2);
+  ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
+    (&diff, af1);
+  ppl_Pointset_Powerset_C_Polyhedron_difference_assign (diff, af2);
+
+  res = ppl_Pointset_Powerset_C_Polyhedron_is_empty (diff);
+  ppl_delete_Pointset_Powerset_C_Polyhedron (diff);
+  return res;
+}
+
+/* Removes duplicated data references in PBB.  */
+
+void
+pbb_remove_duplicate_pdrs (poly_bb_p pbb)
+{
+  int i, j;
+  poly_dr_p pdr1, pdr2;
+  unsigned n = VEC_length (poly_dr_p, PBB_DRS (pbb));
+  VEC (poly_dr_p, heap) *collapsed = VEC_alloc (poly_dr_p, heap, n);
+
+  for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb), i, pdr1); i++)
+    for (j = 0; VEC_iterate (poly_dr_p, collapsed, j, pdr2); j++)
+      if (!can_collapse_pdrs (pdr1, pdr2))
+	VEC_quick_push (poly_dr_p, collapsed, pdr1);
+
+  VEC_free (poly_dr_p, heap, collapsed);
+  PBB_PDR_DUPLICATES_REMOVED (pbb) = true;
+}
+
+/* Create a new polyhedral data reference and add it to PBB.  It is
+   defined by its ACCESSES, its TYPE, and the number of subscripts
+   NB_SUBSCRIPTS.  */
+
+void
+new_poly_dr (poly_bb_p pbb, int dr_base_object_set,
+	     ppl_Pointset_Powerset_C_Polyhedron_t accesses,
+	     enum poly_dr_type type, void *cdr, graphite_dim_t nb_subscripts)
+{
+  static int id = 0;
+  poly_dr_p pdr = XNEW (struct poly_dr);
+
+  PDR_ID (pdr) = id++;
+  PDR_BASE_OBJECT_SET (pdr) = dr_base_object_set;
+  PDR_NB_REFS (pdr) = 1;
+  PDR_PBB (pdr) = pbb;
+  PDR_ACCESSES (pdr) = accesses;
+  PDR_TYPE (pdr) = type;
+  PDR_CDR (pdr) = cdr;
+  PDR_NB_SUBSCRIPTS (pdr) = nb_subscripts;
+  VEC_safe_push (poly_dr_p, heap, PBB_DRS (pbb), pdr);
+}
+
+/* Free polyhedral data reference PDR.  */
+
+void
+free_poly_dr (poly_dr_p pdr)
+{
+  ppl_delete_Pointset_Powerset_C_Polyhedron (PDR_ACCESSES (pdr));
+  XDELETE (pdr);
+}
+
+/* Create a new polyhedral black box.  */
+
+void
+new_poly_bb (scop_p scop, void *black_box, bool reduction)
+{
+  poly_bb_p pbb = XNEW (struct poly_bb);
+
+  PBB_DOMAIN (pbb) = NULL;
+  PBB_SCOP (pbb) = scop;
+  pbb_set_black_box (pbb, black_box);
+  PBB_TRANSFORMED (pbb) = NULL;
+  PBB_SAVED (pbb) = NULL;
+  PBB_ORIGINAL (pbb) = NULL;
+  PBB_DRS (pbb) = VEC_alloc (poly_dr_p, heap, 3);
+  PBB_IS_REDUCTION (pbb) = reduction;
+  PBB_PDR_DUPLICATES_REMOVED (pbb) = false;
+  VEC_safe_push (poly_bb_p, heap, SCOP_BBS (scop), pbb);
+}
+
+/* Free polyhedral black box.  */
+
+void
+free_poly_bb (poly_bb_p pbb)
+{
+  int i;
+  poly_dr_p pdr;
+
+  ppl_delete_Pointset_Powerset_C_Polyhedron (PBB_DOMAIN (pbb));
+
+  if (PBB_TRANSFORMED (pbb))
+    poly_scattering_free (PBB_TRANSFORMED (pbb));
+
+  if (PBB_SAVED (pbb))
+    poly_scattering_free (PBB_SAVED (pbb));
+
+  if (PBB_ORIGINAL (pbb))
+    poly_scattering_free (PBB_ORIGINAL (pbb));
+
+  if (PBB_DRS (pbb))
+    for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb), i, pdr); i++)
+      free_poly_dr (pdr);
+
+  VEC_free (poly_dr_p, heap, PBB_DRS (pbb));
+  XDELETE (pbb);
+}
+
+static void
+print_pdr_access_layout (FILE *file, poly_dr_p pdr)
+{
+  graphite_dim_t i;
+
+  fprintf (file, "#  eq");
+
+  for (i = 0; i < pdr_dim_iter_domain (pdr); i++)
+    fprintf (file, "     i%d", (int) i);
+
+  for (i = 0; i < pdr_nb_params (pdr); i++)
+    fprintf (file, "     p%d", (int) i);
+
+  fprintf (file, "  alias");
+
+  for (i = 0; i < PDR_NB_SUBSCRIPTS (pdr); i++)
+    fprintf (file, "   sub%d", (int) i);
+
+  fprintf (file, "    cst\n");
+}
+
+/* Prints to FILE the polyhedral data reference PDR.  */
+
+void
+print_pdr (FILE *file, poly_dr_p pdr)
+{
+  fprintf (file, "pdr_%d (", PDR_ID (pdr));
+
+  switch (PDR_TYPE (pdr))
+    {
+    case PDR_READ:
+      fprintf (file, "read \n");
+      break;
+
+    case PDR_WRITE:
+      fprintf (file, "write \n");
+      break;
+
+    case PDR_MAY_WRITE:
+      fprintf (file, "may_write \n");
+      break;
+
+    default:
+      gcc_unreachable ();
+    }
+
+  dump_data_reference (file, (data_reference_p) PDR_CDR (pdr));
+
+  fprintf (file, "data accesses (\n");
+  print_pdr_access_layout (file, pdr);
+  ppl_print_powerset_matrix (file, PDR_ACCESSES (pdr));
+  fprintf (file, ")\n");
+
+  fprintf (file, ")\n");
+}
+
+/* Prints to STDERR the polyhedral data reference PDR.  */
+
+void
+debug_pdr (poly_dr_p pdr)
+{
+  print_pdr (stderr, pdr);
+}
+
+/* Creates a new SCOP containing REGION.  */
+
+scop_p
+new_scop (void *region)
+{
+  scop_p scop = XNEW (struct scop);
+
+  SCOP_CONTEXT (scop) = NULL;
+  scop_set_region (scop, region);
+  SCOP_BBS (scop) = VEC_alloc (poly_bb_p, heap, 3);
+  SCOP_ORIGINAL_PDDRS (scop) = htab_create (10, hash_poly_ddr_p,
+					    eq_poly_ddr_p, free_poly_ddr);
+  SCOP_ORIGINAL_SCHEDULE (scop) = NULL;
+  SCOP_TRANSFORMED_SCHEDULE (scop) = NULL;
+  SCOP_SAVED_SCHEDULE (scop) = NULL;
+  return scop;
+}
+
+/* Deletes SCOP.  */
+
+void
+free_scop (scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    free_poly_bb (pbb);
+
+  VEC_free (poly_bb_p, heap, SCOP_BBS (scop));
+
+  if (SCOP_CONTEXT (scop))
+    ppl_delete_Pointset_Powerset_C_Polyhedron (SCOP_CONTEXT (scop));
+
+  htab_delete (SCOP_ORIGINAL_PDDRS (scop));
+  free_lst (SCOP_ORIGINAL_SCHEDULE (scop));
+  free_lst (SCOP_TRANSFORMED_SCHEDULE (scop));
+  free_lst (SCOP_SAVED_SCHEDULE (scop));
+  XDELETE (scop);
+}
+
+/* Print to FILE the domain of PBB.  */
+
+void
+print_pbb_domain (FILE *file, poly_bb_p pbb)
+{
+  graphite_dim_t i;
+  gimple_bb_p gbb = PBB_BLACK_BOX (pbb);
+
+  if (!PBB_DOMAIN (pbb))
+    return;
+
+  fprintf (file, "domains bb_%d (\n", GBB_BB (gbb)->index);
+  fprintf (file, "#  eq");
+
+  for (i = 0; i < pbb_dim_iter_domain (pbb); i++)
+    fprintf (file, "     i%d", (int) i);
+
+  for (i = 0; i < pbb_nb_params (pbb); i++)
+    fprintf (file, "     p%d", (int) i);
+
+  fprintf (file, "    cst\n");
+
+  if (PBB_DOMAIN (pbb))
+    ppl_print_powerset_matrix (file, PBB_DOMAIN (pbb));
+
+  fprintf (file, ")\n");
+}
+
+/* Dump the cases of a graphite basic block GBB on FILE.  */
+
+static void
+dump_gbb_cases (FILE *file, gimple_bb_p gbb)
+{
+  int i;
+  gimple stmt;
+  VEC (gimple, heap) *cases;
+
+  if (!gbb)
+    return;
+
+  cases = GBB_CONDITION_CASES (gbb);
+  if (VEC_empty (gimple, cases))
+    return;
+
+  fprintf (file, "cases bb_%d (", GBB_BB (gbb)->index);
+
+  for (i = 0; VEC_iterate (gimple, cases, i, stmt); i++)
+    print_gimple_stmt (file, stmt, 0, 0);
+
+  fprintf (file, ")\n");
+}
+
+/* Dump conditions of a graphite basic block GBB on FILE.  */
+
+static void
+dump_gbb_conditions (FILE *file, gimple_bb_p gbb)
+{
+  int i;
+  gimple stmt;
+  VEC (gimple, heap) *conditions;
+
+  if (!gbb)
+    return;
+
+  conditions = GBB_CONDITIONS (gbb);
+  if (VEC_empty (gimple, conditions))
+    return;
+
+  fprintf (file, "conditions bb_%d (", GBB_BB (gbb)->index);
+
+  for (i = 0; VEC_iterate (gimple, conditions, i, stmt); i++)
+    print_gimple_stmt (file, stmt, 0, 0);
+
+  fprintf (file, ")\n");
+}
+
+/* Print to FILE all the data references of PBB.  */
+
+void
+print_pdrs (FILE *file, poly_bb_p pbb)
+{
+  int i;
+  poly_dr_p pdr;
+
+  for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb), i, pdr); i++)
+    print_pdr (file, pdr);
+}
+
+/* Print to STDERR all the data references of PBB.  */
+
+void
+debug_pdrs (poly_bb_p pbb)
+{
+  print_pdrs (stderr, pbb);
+}
+
+/* Print to FILE the domain and scattering function of PBB.  */
+
+void
+print_pbb (FILE *file, poly_bb_p pbb)
+{
+  fprintf (file, "pbb_%d (\n", pbb_index (pbb));
+  dump_gbb_conditions (file, PBB_BLACK_BOX (pbb));
+  dump_gbb_cases (file, PBB_BLACK_BOX (pbb));
+  print_pdrs (file, pbb);
+  print_pbb_domain (file, pbb);
+  print_scattering_function (file, pbb);
+  fprintf (file, ")\n");
+}
+
+/* Print to FILE the parameters of SCOP.  */
+
+void
+print_scop_params (FILE *file, scop_p scop)
+{
+  int i;
+  tree t;
+
+  fprintf (file, "parameters (\n");
+  for (i = 0; VEC_iterate (tree, SESE_PARAMS (SCOP_REGION (scop)), i, t); i++)
+    {
+      fprintf (file, "p_%d -> ", i);
+      print_generic_expr (file, t, 0);
+      fprintf (file, "\n");
+    }
+  fprintf (file, ")\n");
+}
+
+/* Print to FILE the context of SCoP.  */
+void
+print_scop_context (FILE *file, scop_p scop)
+{
+  graphite_dim_t i;
+
+  fprintf (file, "context (\n");
+  fprintf (file, "#  eq");
+
+  for (i = 0; i < scop_nb_params (scop); i++)
+    fprintf (file, "     p%d", (int) i);
+
+  fprintf (file, "    cst\n");
+
+  if (SCOP_CONTEXT (scop))
+    ppl_print_powerset_matrix (file, SCOP_CONTEXT (scop));
+
+  fprintf (file, ")\n");
+}
+
+/* Print to FILE the SCOP.  */
+
+void
+print_scop (FILE *file, scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+
+  fprintf (file, "scop (\n");
+  print_scop_params (file, scop);
+  print_scop_context (file, scop);
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    print_pbb (file, pbb);
+
+  fprintf (file, "original_lst (\n");
+  print_lst (file, SCOP_ORIGINAL_SCHEDULE (scop), 0);
+  fprintf (file, ")\n");
+
+  fprintf (file, "transformed_lst (\n");
+  print_lst (file, SCOP_TRANSFORMED_SCHEDULE (scop), 0);
+  fprintf (file, ")\n");
+
+  fprintf (file, ")\n");
+}
+
+/* Print to STDERR the domain of PBB.  */
+
+void
+debug_pbb_domain (poly_bb_p pbb)
+{
+  print_pbb_domain (stderr, pbb);
+}
+
+/* Print to FILE the domain and scattering function of PBB.  */
+
+void
+debug_pbb (poly_bb_p pbb)
+{
+  print_pbb (stderr, pbb);
+}
+
+/* Print to STDERR the context of SCOP.  */
+
+void
+debug_scop_context (scop_p scop)
+{
+  print_scop_context (stderr, scop);
+}
+
+/* Print to STDERR the SCOP.  */
+
+void
+debug_scop (scop_p scop)
+{
+  print_scop (stderr, scop);
+}
+
+/* Print to STDERR the parameters of SCOP.  */
+
+void
+debug_scop_params (scop_p scop)
+{
+  print_scop_params (stderr, scop);
+}
+
+
+/* The dimension in the transformed scattering polyhedron of PBB
+   containing the scattering iterator for the loop at depth LOOP_DEPTH.  */
+
+ppl_dimension_type
+psct_scattering_dim_for_loop_depth (poly_bb_p pbb, graphite_dim_t loop_depth)
+{
+  ppl_const_Constraint_System_t pcs;
+  ppl_Constraint_System_const_iterator_t cit, cend;
+  ppl_const_Constraint_t cstr;
+  ppl_Polyhedron_t ph = PBB_TRANSFORMED_SCATTERING (pbb);
+  ppl_dimension_type iter = psct_iterator_dim (pbb, loop_depth);
+  ppl_Linear_Expression_t expr;
+  ppl_Coefficient_t coef;
+  Value val;
+  graphite_dim_t i;
+
+  value_init (val);
+  ppl_new_Coefficient (&coef);
+  ppl_Polyhedron_get_constraints (ph, &pcs);
+  ppl_new_Constraint_System_const_iterator (&cit);
+  ppl_new_Constraint_System_const_iterator (&cend);
+
+  for (ppl_Constraint_System_begin (pcs, cit),
+	 ppl_Constraint_System_end (pcs, cend);
+       !ppl_Constraint_System_const_iterator_equal_test (cit, cend);
+       ppl_Constraint_System_const_iterator_increment (cit))
+    {
+      ppl_Constraint_System_const_iterator_dereference (cit, &cstr);
+      ppl_new_Linear_Expression_from_Constraint (&expr, cstr);
+      ppl_Linear_Expression_coefficient (expr, iter, coef);
+      ppl_Coefficient_to_mpz_t (coef, val);
+
+      if (value_zero_p (val))
+	{
+	  ppl_delete_Linear_Expression (expr);
+	  continue;
+	}
+
+      for (i = 0; i < pbb_nb_scattering_transform (pbb); i++)
+	{
+	  ppl_dimension_type scatter = psct_scattering_dim (pbb, i);
+
+	  ppl_Linear_Expression_coefficient (expr, scatter, coef);
+	  ppl_Coefficient_to_mpz_t (coef, val);
+
+	  if (value_notzero_p (val))
+	    {
+	      value_clear (val);
+	      ppl_delete_Linear_Expression (expr);
+	      ppl_delete_Coefficient (coef);
+	      ppl_delete_Constraint_System_const_iterator (cit);
+	      ppl_delete_Constraint_System_const_iterator (cend);
+
+	      return scatter;
+	    }
+	}
+    }
+
+  gcc_unreachable ();
+}
+
+/* Returns the number of iterations NITER of the loop around PBB at
+   depth LOOP_DEPTH.  */
+
+void
+pbb_number_of_iterations (poly_bb_p pbb,
+			  graphite_dim_t loop_depth,
+			  Value niter)
+{
+  ppl_Linear_Expression_t le;
+  ppl_dimension_type dim;
+
+  ppl_Pointset_Powerset_C_Polyhedron_space_dimension (PBB_DOMAIN (pbb), &dim);
+  ppl_new_Linear_Expression_with_dimension (&le, dim);
+  ppl_set_coef (le, pbb_iterator_dim (pbb, loop_depth), 1);
+  value_set_si (niter, -1);
+  ppl_max_for_le_pointset (PBB_DOMAIN (pbb), le, niter);
+  ppl_delete_Linear_Expression (le);
+}
+
+/* Returns the number of iterations NITER of the loop around PBB at
+   time(scattering) dimension TIME_DEPTH.  */
+
+void
+pbb_number_of_iterations_at_time (poly_bb_p pbb,
+				  graphite_dim_t time_depth,
+				  Value niter)
+{
+  ppl_Pointset_Powerset_C_Polyhedron_t ext_domain, sctr;
+  ppl_Linear_Expression_t le;
+  ppl_dimension_type dim;
+
+  /* Takes together domain and scattering polyhedrons, and composes
+     them into the bigger polyhedron that has the following format:
+
+     t0..t_{n-1} | l0..l_{nlcl-1} | i0..i_{niter-1} | g0..g_{nparm-1}
+
+     where
+     | t0..t_{n-1} are time dimensions (scattering dimensions)
+     | l0..l_{nclc-1} are local variables in scattering function
+     | i0..i_{niter-1} are original iteration variables
+     | g0..g_{nparam-1} are global parameters.  */
+
+  ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&sctr,
+      PBB_TRANSFORMED_SCATTERING (pbb));
+
+  /* Extend the iteration domain with the scattering dimensions:
+     0..0 | 0..0 | i0..i_{niter-1} | g0..g_{nparm-1}.   */
+  ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
+    (&ext_domain, PBB_DOMAIN (pbb));
+  ppl_insert_dimensions_pointset (ext_domain, 0,
+                                  pbb_nb_scattering_transform (pbb)
+                                  + pbb_nb_local_vars (pbb));
+
+  /* Add to sctr the extended domain.  */
+  ppl_Pointset_Powerset_C_Polyhedron_intersection_assign (sctr, ext_domain);
+
+  /* Extract the number of iterations.  */
+  ppl_Pointset_Powerset_C_Polyhedron_space_dimension (sctr, &dim);
+  ppl_new_Linear_Expression_with_dimension (&le, dim);
+  ppl_set_coef (le, time_depth, 1);
+  value_set_si (niter, -1);
+  ppl_max_for_le_pointset (sctr, le, niter);
+
+  ppl_delete_Linear_Expression (le);
+  ppl_delete_Pointset_Powerset_C_Polyhedron (sctr);
+  ppl_delete_Pointset_Powerset_C_Polyhedron (ext_domain);
+}
+
+/* Translates LOOP to LST.  */
+
+static lst_p
+loop_to_lst (loop_p loop, VEC (poly_bb_p, heap) *bbs, int *i)
+{
+  poly_bb_p pbb;
+  VEC (lst_p, heap) *seq = VEC_alloc (lst_p, heap, 5);
+
+  for (; VEC_iterate (poly_bb_p, bbs, *i, pbb); (*i)++)
+    {
+      lst_p stmt;
+      basic_block bb = GBB_BB (PBB_BLACK_BOX (pbb));
+
+      if (bb->loop_father == loop)
+	stmt = new_lst_stmt (pbb);
+      else if (flow_bb_inside_loop_p (loop, bb))
+	{
+	  loop_p next = loop->inner;
+
+	  while (next && !flow_bb_inside_loop_p (next, bb))
+	    next = next->next;
+
+	  stmt = loop_to_lst (next, bbs, i);
+	}
+      else
+	{
+	  (*i)--;
+	  return new_lst_loop (seq);
+	}
+
+      VEC_safe_push (lst_p, heap, seq, stmt);
+    }
+
+  return new_lst_loop (seq);
+}
+
+/* Reads the original scattering of the SCOP and returns an LST
+   representing it.  */
+
+void
+scop_to_lst (scop_p scop)
+{
+  lst_p res;
+  int i, n = VEC_length (poly_bb_p, SCOP_BBS (scop));
+  VEC (lst_p, heap) *seq = VEC_alloc (lst_p, heap, 5);
+  sese region = SCOP_REGION (scop);
+
+  for (i = 0; i < n; i++)
+    {
+      poly_bb_p pbb = VEC_index (poly_bb_p, SCOP_BBS (scop), i);
+      loop_p loop = outermost_loop_in_sese (region, GBB_BB (PBB_BLACK_BOX (pbb)));
+
+      if (loop_in_sese_p (loop, region))
+	res = loop_to_lst (loop, SCOP_BBS (scop), &i);
+      else
+	res = new_lst_stmt (pbb);
+
+      VEC_safe_push (lst_p, heap, seq, res);
+    }
+
+  res = new_lst_loop (seq);
+  SCOP_ORIGINAL_SCHEDULE (scop) = res;
+  SCOP_TRANSFORMED_SCHEDULE (scop) = copy_lst (res);
+}
+
+/* Print LST to FILE with INDENT spaces of indentation.  */
+
+void
+print_lst (FILE *file, lst_p lst, int indent)
+{
+  if (!lst)
+    return;
+
+  indent_to (file, indent);
+
+  if (LST_LOOP_P (lst))
+    {
+      int i;
+      lst_p l;
+
+      if (LST_LOOP_FATHER (lst))
+	fprintf (file, "%d (loop", lst_dewey_number (lst));
+      else
+	fprintf (file, "(root");
+
+      for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+	print_lst (file, l, indent + 2);
+
+      fprintf (file, ")");
+    }
+  else
+    fprintf (file, "%d stmt_%d", lst_dewey_number (lst), pbb_index (LST_PBB (lst)));
+}
+
+/* Print LST to STDERR.  */
+
+void
+debug_lst (lst_p lst)
+{
+  print_lst (stderr, lst, 0);
+}
+
+/* Pretty print to FILE the loop statement tree LST in DOT format.  */
+
+static void
+dot_lst_1 (FILE *file, lst_p lst)
+{
+  if (!lst)
+    return;
+
+  if (LST_LOOP_P (lst))
+    {
+      int i;
+      lst_p l;
+
+      if (!LST_LOOP_FATHER (lst))
+	fprintf (file, "L -> L_%d_%d\n",
+		 lst_depth (lst),
+		 lst_dewey_number (lst));
+      else
+	fprintf (file, "L_%d_%d -> L_%d_%d\n",
+		 lst_depth (LST_LOOP_FATHER (lst)),
+		 lst_dewey_number (LST_LOOP_FATHER (lst)),
+		 lst_depth (lst),
+		 lst_dewey_number (lst));
+
+      for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+	dot_lst_1 (file, l);
+    }
+
+  else
+    fprintf (file, "L_%d_%d -> S_%d\n",
+	     lst_depth (LST_LOOP_FATHER (lst)),
+	     lst_dewey_number (LST_LOOP_FATHER (lst)),
+	     pbb_index (LST_PBB (lst)));
+
+}
+
+/* Display the LST using dotty.  */
+
+void
+dot_lst (lst_p lst)
+{
+  /* When debugging, enable the following code.  This cannot be used
+     in production compilers because it calls "system".  */
+#if 0
+  int x;
+  FILE *stream = fopen ("/tmp/lst.dot", "w");
+  gcc_assert (stream);
+
+  fputs ("digraph all {\n", stream);
+  dot_lst_1 (stream, lst);
+  fputs ("}\n\n", stream);
+  fclose (stream);
+
+  x = system ("dotty /tmp/lst.dot");
+#else
+  fputs ("digraph all {\n", stderr);
+  dot_lst_1 (stderr, lst);
+  fputs ("}\n\n", stderr);
+
+#endif
+}
+
+#endif
+