diff gcc/graphite-sese-to-poly.c @ 111:04ced10e8804

gcc 7
author kono
date Fri, 27 Oct 2017 22:46:09 +0900
parents f6334be47118
children 84e7813d76e9
line wrap: on
line diff
--- a/gcc/graphite-sese-to-poly.c	Sun Aug 21 07:07:55 2011 +0900
+++ b/gcc/graphite-sese-to-poly.c	Fri Oct 27 22:46:09 2017 +0900
@@ -1,5 +1,5 @@
 /* Conversion of SESE regions to Polyhedra.
-   Copyright (C) 2009, 2010, 2011 Free Software Foundation, Inc.
+   Copyright (C) 2009-2017 Free Software Foundation, Inc.
    Contributed by Sebastian Pop <sebastian.pop@amd.com>.
 
 This file is part of GCC.
@@ -18,1237 +18,371 @@
 along with GCC; see the file COPYING3.  If not see
 <http://www.gnu.org/licenses/>.  */
 
+#define USES_ISL
+
 #include "config.h"
+
+#ifdef HAVE_isl
+
 #include "system.h"
 #include "coretypes.h"
-#include "tree-flow.h"
-#include "tree-dump.h"
+#include "backend.h"
+#include "cfghooks.h"
+#include "tree.h"
+#include "gimple.h"
+#include "ssa.h"
+#include "params.h"
+#include "fold-const.h"
+#include "gimple-iterator.h"
+#include "gimplify.h"
+#include "gimplify-me.h"
+#include "tree-cfg.h"
+#include "tree-ssa-loop-manip.h"
+#include "tree-ssa-loop-niter.h"
+#include "tree-ssa-loop.h"
+#include "tree-into-ssa.h"
+#include "tree-pass.h"
 #include "cfgloop.h"
-#include "tree-chrec.h"
 #include "tree-data-ref.h"
 #include "tree-scalar-evolution.h"
 #include "domwalk.h"
-#include "sese.h"
+#include "tree-ssa-propagate.h"
+
+#include <isl/constraint.h>
+#include <isl/set.h>
+#include <isl/map.h>
+#include <isl/union_map.h>
+#include <isl/constraint.h>
+#include <isl/aff.h>
+#include <isl/val.h>
+
+#include "graphite.h"
+
+/* Assigns to RES the value of the INTEGER_CST T.  */
+
+static inline void
+tree_int_to_gmp (tree t, mpz_t res)
+{
+  wi::to_mpz (wi::to_wide (t), res, TYPE_SIGN (TREE_TYPE (t)));
+}
+
+/* Return an isl identifier for the polyhedral basic block PBB.  */
+
+static isl_id *
+isl_id_for_pbb (scop_p s, poly_bb_p pbb)
+{
+  char name[14];
+  snprintf (name, sizeof (name), "S_%d", pbb_index (pbb));
+  return isl_id_alloc (s->isl_context, name, pbb);
+}
+
+static isl_pw_aff *extract_affine (scop_p, tree, __isl_take isl_space *space);
+
+/* Extract an affine expression from the chain of recurrence E.  */
 
-#ifdef HAVE_cloog
-#include "ppl_c.h"
-#include "graphite-ppl.h"
-#include "graphite-poly.h"
-#include "graphite-sese-to-poly.h"
+static isl_pw_aff *
+extract_affine_chrec (scop_p s, tree e, __isl_take isl_space *space)
+{
+  isl_pw_aff *lhs = extract_affine (s, CHREC_LEFT (e), isl_space_copy (space));
+  isl_pw_aff *rhs = extract_affine (s, CHREC_RIGHT (e), isl_space_copy (space));
+  isl_local_space *ls = isl_local_space_from_space (space);
+  unsigned pos = sese_loop_depth (s->scop_info->region, get_chrec_loop (e)) - 1;
+  isl_aff *loop = isl_aff_set_coefficient_si
+    (isl_aff_zero_on_domain (ls), isl_dim_in, pos, 1);
+  isl_pw_aff *l = isl_pw_aff_from_aff (loop);
+
+  /* Before multiplying, make sure that the result is affine.  */
+  gcc_assert (isl_pw_aff_is_cst (rhs)
+	      || isl_pw_aff_is_cst (l));
 
-/* Returns the index of the PHI argument defined in the outermost
-   loop.  */
+  return isl_pw_aff_add (lhs, isl_pw_aff_mul (rhs, l));
+}
+
+/* Extract an affine expression from the mult_expr E.  */
+
+static isl_pw_aff *
+extract_affine_mul (scop_p s, tree e, __isl_take isl_space *space)
+{
+  isl_pw_aff *lhs = extract_affine (s, TREE_OPERAND (e, 0),
+				    isl_space_copy (space));
+  isl_pw_aff *rhs = extract_affine (s, TREE_OPERAND (e, 1), space);
+
+  if (!isl_pw_aff_is_cst (lhs)
+      && !isl_pw_aff_is_cst (rhs))
+    {
+      isl_pw_aff_free (lhs);
+      isl_pw_aff_free (rhs);
+      return NULL;
+    }
 
-static size_t
-phi_arg_in_outermost_loop (gimple phi)
+  return isl_pw_aff_mul (lhs, rhs);
+}
+
+/* Return an isl identifier from the name of the ssa_name E.  */
+
+static isl_id *
+isl_id_for_ssa_name (scop_p s, tree e)
 {
-  loop_p loop = gimple_bb (phi)->loop_father;
-  size_t i, res = 0;
+  char name1[14];
+  snprintf (name1, sizeof (name1), "P_%d", SSA_NAME_VERSION (e));
+  return isl_id_alloc (s->isl_context, name1, e);
+}
+
+/* Return an isl identifier for the data reference DR.  Data references and
+   scalar references get the same isl_id.  They need to be comparable and are
+   distinguished through the first dimension, which contains the alias set or
+   SSA_NAME_VERSION number.  */
+
+static isl_id *
+isl_id_for_dr (scop_p s)
+{
+  return isl_id_alloc (s->isl_context, "", 0);
+}
+
+/* Extract an affine expression from the ssa_name E.  */
+
+static isl_pw_aff *
+extract_affine_name (int dimension, __isl_take isl_space *space)
+{
+  isl_set *dom = isl_set_universe (isl_space_copy (space));
+  isl_aff *aff = isl_aff_zero_on_domain (isl_local_space_from_space (space));
+  aff = isl_aff_add_coefficient_si (aff, isl_dim_param, dimension, 1);
+  return isl_pw_aff_alloc (dom, aff);
+}
 
-  for (i = 0; i < gimple_phi_num_args (phi); i++)
-    if (!flow_bb_inside_loop_p (loop, gimple_phi_arg_edge (phi, i)->src))
-      {
-	loop = gimple_phi_arg_edge (phi, i)->src->loop_father;
-	res = i;
-      }
+/* Convert WI to a isl_val with CTX.  */
+
+static __isl_give isl_val *
+isl_val_int_from_wi (isl_ctx *ctx, const widest_int &wi)
+{
+  if (wi::neg_p (wi, SIGNED))
+    {
+      widest_int mwi = -wi;
+      return isl_val_neg (isl_val_int_from_chunks (ctx, mwi.get_len (),
+						   sizeof (HOST_WIDE_INT),
+						   mwi.get_val ()));
+    }
+  return isl_val_int_from_chunks (ctx, wi.get_len (), sizeof (HOST_WIDE_INT),
+				  wi.get_val ());
+}
+
+/* Extract an affine expression from the gmp constant G.  */
 
+static isl_pw_aff *
+extract_affine_wi (const widest_int &g, __isl_take isl_space *space)
+{
+  isl_local_space *ls = isl_local_space_from_space (isl_space_copy (space));
+  isl_aff *aff = isl_aff_zero_on_domain (ls);
+  isl_set *dom = isl_set_universe (space);
+  isl_ctx *ct = isl_aff_get_ctx (aff);
+  isl_val *v = isl_val_int_from_wi (ct, g);
+  aff = isl_aff_add_constant_val (aff, v);
+
+  return isl_pw_aff_alloc (dom, aff);
+}
+
+/* Extract an affine expression from the integer_cst E.  */
+
+static isl_pw_aff *
+extract_affine_int (tree e, __isl_take isl_space *space)
+{
+  isl_pw_aff *res = extract_affine_wi (wi::to_widest (e), space);
   return res;
 }
 
-/* Removes a simple copy phi node "RES = phi (INIT, RES)" at position
-   PSI by inserting on the loop ENTRY edge assignment "RES = INIT".  */
-
-static void
-remove_simple_copy_phi (gimple_stmt_iterator *psi)
-{
-  gimple phi = gsi_stmt (*psi);
-  tree res = gimple_phi_result (phi);
-  size_t entry = phi_arg_in_outermost_loop (phi);
-  tree init = gimple_phi_arg_def (phi, entry);
-  gimple stmt = gimple_build_assign (res, init);
-  edge e = gimple_phi_arg_edge (phi, entry);
-
-  remove_phi_node (psi, false);
-  gsi_insert_on_edge_immediate (e, stmt);
-  SSA_NAME_DEF_STMT (res) = stmt;
-}
-
-/* Removes an invariant phi node at position PSI by inserting on the
-   loop ENTRY edge the assignment RES = INIT.  */
-
-static void
-remove_invariant_phi (sese region, gimple_stmt_iterator *psi)
-{
-  gimple phi = gsi_stmt (*psi);
-  loop_p loop = loop_containing_stmt (phi);
-  tree res = gimple_phi_result (phi);
-  tree scev = scalar_evolution_in_region (region, loop, res);
-  size_t entry = phi_arg_in_outermost_loop (phi);
-  edge e = gimple_phi_arg_edge (phi, entry);
-  tree var;
-  gimple stmt;
-  gimple_seq stmts;
-  gimple_stmt_iterator gsi;
-
-  if (tree_contains_chrecs (scev, NULL))
-    scev = gimple_phi_arg_def (phi, entry);
-
-  var = force_gimple_operand (scev, &stmts, true, NULL_TREE);
-  stmt = gimple_build_assign (res, var);
-  remove_phi_node (psi, false);
-
-  if (!stmts)
-    stmts = gimple_seq_alloc ();
-
-  gsi = gsi_last (stmts);
-  gsi_insert_after (&gsi, stmt, GSI_NEW_STMT);
-  gsi_insert_seq_on_edge (e, stmts);
-  gsi_commit_edge_inserts ();
-  SSA_NAME_DEF_STMT (res) = stmt;
-}
-
-/* Returns true when the phi node at PSI is of the form "a = phi (a, x)".  */
-
-static inline bool
-simple_copy_phi_p (gimple phi)
-{
-  tree res;
-
-  if (gimple_phi_num_args (phi) != 2)
-    return false;
-
-  res = gimple_phi_result (phi);
-  return (res == gimple_phi_arg_def (phi, 0)
-	  || res == gimple_phi_arg_def (phi, 1));
-}
-
-/* Returns true when the phi node at position PSI is a reduction phi
-   node in REGION.  Otherwise moves the pointer PSI to the next phi to
-   be considered.  */
-
-static bool
-reduction_phi_p (sese region, gimple_stmt_iterator *psi)
-{
-  loop_p loop;
-  gimple phi = gsi_stmt (*psi);
-  tree res = gimple_phi_result (phi);
-
-  loop = loop_containing_stmt (phi);
-
-  if (simple_copy_phi_p (phi))
-    {
-      /* PRE introduces phi nodes like these, for an example,
-	 see id-5.f in the fortran graphite testsuite:
-
-	 # prephitmp.85_265 = PHI <prephitmp.85_258(33), prephitmp.85_265(18)>
-      */
-      remove_simple_copy_phi (psi);
-      return false;
-    }
-
-  if (scev_analyzable_p (res, region))
-    {
-      tree scev = scalar_evolution_in_region (region, loop, res);
-
-      if (evolution_function_is_invariant_p (scev, loop->num))
-	remove_invariant_phi (region, psi);
-      else
-	gsi_next (psi);
-
-      return false;
-    }
-
-  /* All the other cases are considered reductions.  */
-  return true;
-}
-
-/* Store the GRAPHITE representation of BB.  */
-
-static gimple_bb_p
-new_gimple_bb (basic_block bb, VEC (data_reference_p, heap) *drs)
-{
-  struct gimple_bb *gbb;
-
-  gbb = XNEW (struct gimple_bb);
-  bb->aux = gbb;
-  GBB_BB (gbb) = bb;
-  GBB_DATA_REFS (gbb) = drs;
-  GBB_CONDITIONS (gbb) = NULL;
-  GBB_CONDITION_CASES (gbb) = NULL;
-
-  return gbb;
-}
-
-static void
-free_data_refs_aux (VEC (data_reference_p, heap) *datarefs)
-{
-  unsigned int i;
-  struct data_reference *dr;
-
-  FOR_EACH_VEC_ELT (data_reference_p, datarefs, i, dr)
-    if (dr->aux)
-      {
-	base_alias_pair *bap = (base_alias_pair *)(dr->aux);
-
-	if (bap->alias_set)
-	  free (bap->alias_set);
-
-	free (bap);
-	dr->aux = NULL;
-      }
-}
-/* Frees GBB.  */
-
-static void
-free_gimple_bb (struct gimple_bb *gbb)
-{
-  free_data_refs_aux (GBB_DATA_REFS (gbb));
-  free_data_refs (GBB_DATA_REFS (gbb));
-
-  VEC_free (gimple, heap, GBB_CONDITIONS (gbb));
-  VEC_free (gimple, heap, GBB_CONDITION_CASES (gbb));
-  GBB_BB (gbb)->aux = 0;
-  XDELETE (gbb);
-}
-
-/* Deletes all gimple bbs in SCOP.  */
-
-static void
-remove_gbbs_in_scop (scop_p scop)
-{
-  int i;
-  poly_bb_p pbb;
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    free_gimple_bb (PBB_BLACK_BOX (pbb));
-}
-
-/* Deletes all scops in SCOPS.  */
-
-void
-free_scops (VEC (scop_p, heap) *scops)
-{
-  int i;
-  scop_p scop;
-
-  FOR_EACH_VEC_ELT (scop_p, scops, i, scop)
-    {
-      remove_gbbs_in_scop (scop);
-      free_sese (SCOP_REGION (scop));
-      free_scop (scop);
-    }
-
-  VEC_free (scop_p, heap, scops);
-}
-
-/* Same as outermost_loop_in_sese, returns the outermost loop
-   containing BB in REGION, but makes sure that the returned loop
-   belongs to the REGION, and so this returns the first loop in the
-   REGION when the loop containing BB does not belong to REGION.  */
-
-static loop_p
-outermost_loop_in_sese_1 (sese region, basic_block bb)
-{
-  loop_p nest = outermost_loop_in_sese (region, bb);
-
-  if (loop_in_sese_p (nest, region))
-    return nest;
-
-  /* When the basic block BB does not belong to a loop in the region,
-     return the first loop in the region.  */
-  nest = nest->inner;
-  while (nest)
-    if (loop_in_sese_p (nest, region))
-      break;
-    else
-      nest = nest->next;
-
-  gcc_assert (nest);
-  return nest;
-}
-
-/* Generates a polyhedral black box only if the bb contains interesting
-   information.  */
-
-static gimple_bb_p
-try_generate_gimple_bb (scop_p scop, basic_block bb)
-{
-  VEC (data_reference_p, heap) *drs = VEC_alloc (data_reference_p, heap, 5);
-  sese region = SCOP_REGION (scop);
-  loop_p nest = outermost_loop_in_sese_1 (region, bb);
-  gimple_stmt_iterator gsi;
-
-  for (gsi = gsi_start_bb (bb); !gsi_end_p (gsi); gsi_next (&gsi))
-    {
-      gimple stmt = gsi_stmt (gsi);
-      loop_p loop;
-
-      if (is_gimple_debug (stmt))
-	continue;
-
-      loop = loop_containing_stmt (stmt);
-      if (!loop_in_sese_p (loop, region))
-	loop = nest;
-
-      graphite_find_data_references_in_stmt (nest, loop, stmt, &drs);
-    }
-
-  return new_gimple_bb (bb, drs);
-}
-
-/* Returns true if all predecessors of BB, that are not dominated by BB, are
-   marked in MAP.  The predecessors dominated by BB are loop latches and will
-   be handled after BB.  */
-
-static bool
-all_non_dominated_preds_marked_p (basic_block bb, sbitmap map)
-{
-  edge e;
-  edge_iterator ei;
-
-  FOR_EACH_EDGE (e, ei, bb->preds)
-    if (!TEST_BIT (map, e->src->index)
-	&& !dominated_by_p (CDI_DOMINATORS, e->src, bb))
-	return false;
-
-  return true;
-}
-
-/* Compare the depth of two basic_block's P1 and P2.  */
-
-static int
-compare_bb_depths (const void *p1, const void *p2)
-{
-  const_basic_block const bb1 = *(const_basic_block const*)p1;
-  const_basic_block const bb2 = *(const_basic_block const*)p2;
-  int d1 = loop_depth (bb1->loop_father);
-  int d2 = loop_depth (bb2->loop_father);
-
-  if (d1 < d2)
-    return 1;
-
-  if (d1 > d2)
-    return -1;
-
-  return 0;
-}
-
-/* Sort the basic blocks from DOM such that the first are the ones at
-   a deepest loop level.  */
-
-static void
-graphite_sort_dominated_info (VEC (basic_block, heap) *dom)
-{
-  VEC_qsort (basic_block, dom, compare_bb_depths);
-}
-
-/* Recursive helper function for build_scops_bbs.  */
-
-static void
-build_scop_bbs_1 (scop_p scop, sbitmap visited, basic_block bb)
-{
-  sese region = SCOP_REGION (scop);
-  VEC (basic_block, heap) *dom;
-  poly_bb_p pbb;
-
-  if (TEST_BIT (visited, bb->index)
-      || !bb_in_sese_p (bb, region))
-    return;
-
-  pbb = new_poly_bb (scop, try_generate_gimple_bb (scop, bb));
-  VEC_safe_push (poly_bb_p, heap, SCOP_BBS (scop), pbb);
-  SET_BIT (visited, bb->index);
+/* Compute pwaff mod 2^width.  */
 
-  dom = get_dominated_by (CDI_DOMINATORS, bb);
-
-  if (dom == NULL)
-    return;
-
-  graphite_sort_dominated_info (dom);
-
-  while (!VEC_empty (basic_block, dom))
-    {
-      int i;
-      basic_block dom_bb;
-
-      FOR_EACH_VEC_ELT (basic_block, dom, i, dom_bb)
-	if (all_non_dominated_preds_marked_p (dom_bb, visited))
-	  {
-	    build_scop_bbs_1 (scop, visited, dom_bb);
-	    VEC_unordered_remove (basic_block, dom, i);
-	    break;
-	  }
-    }
-
-  VEC_free (basic_block, heap, dom);
-}
-
-/* Gather the basic blocks belonging to the SCOP.  */
-
-static void
-build_scop_bbs (scop_p scop)
-{
-  sbitmap visited = sbitmap_alloc (last_basic_block);
-  sese region = SCOP_REGION (scop);
-
-  sbitmap_zero (visited);
-  build_scop_bbs_1 (scop, visited, SESE_ENTRY_BB (region));
-  sbitmap_free (visited);
-}
-
-/* Converts the STATIC_SCHEDULE of PBB into a scattering polyhedron.
-   We generate SCATTERING_DIMENSIONS scattering dimensions.
-
-   CLooG 0.15.0 and previous versions require, that all
-   scattering functions of one CloogProgram have the same number of
-   scattering dimensions, therefore we allow to specify it.  This
-   should be removed in future versions of CLooG.
-
-   The scattering polyhedron consists of these dimensions: scattering,
-   loop_iterators, parameters.
-
-   Example:
-
-   | scattering_dimensions = 5
-   | used_scattering_dimensions = 3
-   | nb_iterators = 1
-   | scop_nb_params = 2
-   |
-   | Schedule:
-   |   i
-   | 4 5
-   |
-   | Scattering polyhedron:
-   |
-   | scattering: {s1, s2, s3, s4, s5}
-   | loop_iterators: {i}
-   | parameters: {p1, p2}
-   |
-   | s1  s2  s3  s4  s5  i   p1  p2  1
-   | 1   0   0   0   0   0   0   0  -4  = 0
-   | 0   1   0   0   0  -1   0   0   0  = 0
-   | 0   0   1   0   0   0   0   0  -5  = 0  */
-
-static void
-build_pbb_scattering_polyhedrons (ppl_Linear_Expression_t static_schedule,
-				  poly_bb_p pbb, int scattering_dimensions)
+static isl_pw_aff *
+wrap (isl_pw_aff *pwaff, unsigned width)
 {
-  int i;
-  scop_p scop = PBB_SCOP (pbb);
-  int nb_iterators = pbb_dim_iter_domain (pbb);
-  int used_scattering_dimensions = nb_iterators * 2 + 1;
-  int nb_params = scop_nb_params (scop);
-  ppl_Coefficient_t c;
-  ppl_dimension_type dim = scattering_dimensions + nb_iterators + nb_params;
-  mpz_t v;
-
-  gcc_assert (scattering_dimensions >= used_scattering_dimensions);
-
-  mpz_init (v);
-  ppl_new_Coefficient (&c);
-  PBB_TRANSFORMED (pbb) = poly_scattering_new ();
-  ppl_new_C_Polyhedron_from_space_dimension
-    (&PBB_TRANSFORMED_SCATTERING (pbb), dim, 0);
-
-  PBB_NB_SCATTERING_TRANSFORM (pbb) = scattering_dimensions;
-
-  for (i = 0; i < scattering_dimensions; i++)
-    {
-      ppl_Constraint_t cstr;
-      ppl_Linear_Expression_t expr;
-
-      ppl_new_Linear_Expression_with_dimension (&expr, dim);
-      mpz_set_si (v, 1);
-      ppl_assign_Coefficient_from_mpz_t (c, v);
-      ppl_Linear_Expression_add_to_coefficient (expr, i, c);
-
-      /* Textual order inside this loop.  */
-      if ((i % 2) == 0)
-	{
-	  ppl_Linear_Expression_coefficient (static_schedule, i / 2, c);
-	  ppl_Coefficient_to_mpz_t (c, v);
-	  mpz_neg (v, v);
-	  ppl_assign_Coefficient_from_mpz_t (c, v);
-	  ppl_Linear_Expression_add_to_inhomogeneous (expr, c);
-	}
-
-      /* Iterations of this loop.  */
-      else /* if ((i % 2) == 1) */
-	{
-	  int loop = (i - 1) / 2;
-
-	  mpz_set_si (v, -1);
-	  ppl_assign_Coefficient_from_mpz_t (c, v);
-	  ppl_Linear_Expression_add_to_coefficient
-	    (expr, scattering_dimensions + loop, c);
-	}
-
-      ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
-      ppl_Polyhedron_add_constraint (PBB_TRANSFORMED_SCATTERING (pbb), cstr);
-      ppl_delete_Linear_Expression (expr);
-      ppl_delete_Constraint (cstr);
-    }
-
-  mpz_clear (v);
-  ppl_delete_Coefficient (c);
-
-  PBB_ORIGINAL (pbb) = poly_scattering_copy (PBB_TRANSFORMED (pbb));
-}
-
-/* Build for BB the static schedule.
-
-   The static schedule is a Dewey numbering of the abstract syntax
-   tree: http://en.wikipedia.org/wiki/Dewey_Decimal_Classification
-
-   The following example informally defines the static schedule:
-
-   A
-   for (i: ...)
-     {
-       for (j: ...)
-         {
-           B
-           C
-         }
+  isl_val *mod;
 
-       for (k: ...)
-         {
-           D
-           E
-         }
-     }
-   F
-
-   Static schedules for A to F:
-
-     DEPTH
-     0 1 2
-   A 0
-   B 1 0 0
-   C 1 0 1
-   D 1 1 0
-   E 1 1 1
-   F 2
-*/
-
-static void
-build_scop_scattering (scop_p scop)
-{
-  int i;
-  poly_bb_p pbb;
-  gimple_bb_p previous_gbb = NULL;
-  ppl_Linear_Expression_t static_schedule;
-  ppl_Coefficient_t c;
-  mpz_t v;
-
-  mpz_init (v);
-  ppl_new_Coefficient (&c);
-  ppl_new_Linear_Expression (&static_schedule);
-
-  /* We have to start schedules at 0 on the first component and
-     because we cannot compare_prefix_loops against a previous loop,
-     prefix will be equal to zero, and that index will be
-     incremented before copying.  */
-  mpz_set_si (v, -1);
-  ppl_assign_Coefficient_from_mpz_t (c, v);
-  ppl_Linear_Expression_add_to_coefficient (static_schedule, 0, c);
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    {
-      gimple_bb_p gbb = PBB_BLACK_BOX (pbb);
-      ppl_Linear_Expression_t common;
-      int prefix;
-      int nb_scat_dims = pbb_dim_iter_domain (pbb) * 2 + 1;
-
-      if (previous_gbb)
-	prefix = nb_common_loops (SCOP_REGION (scop), previous_gbb, gbb);
-      else
-	prefix = 0;
-
-      previous_gbb = gbb;
-      ppl_new_Linear_Expression_with_dimension (&common, prefix + 1);
-      ppl_assign_Linear_Expression_from_Linear_Expression (common,
-							   static_schedule);
-
-      mpz_set_si (v, 1);
-      ppl_assign_Coefficient_from_mpz_t (c, v);
-      ppl_Linear_Expression_add_to_coefficient (common, prefix, c);
-      ppl_assign_Linear_Expression_from_Linear_Expression (static_schedule,
-							   common);
-
-      build_pbb_scattering_polyhedrons (common, pbb, nb_scat_dims);
-
-      ppl_delete_Linear_Expression (common);
-    }
-
-  mpz_clear (v);
-  ppl_delete_Coefficient (c);
-  ppl_delete_Linear_Expression (static_schedule);
-}
+  mod = isl_val_int_from_ui (isl_pw_aff_get_ctx (pwaff), width);
+  mod = isl_val_2exp (mod);
+  pwaff = isl_pw_aff_mod_val (pwaff, mod);
 
-/* Add the value K to the dimension D of the linear expression EXPR.  */
-
-static void
-add_value_to_dim (ppl_dimension_type d, ppl_Linear_Expression_t expr,
-		  mpz_t k)
-{
-  mpz_t val;
-  ppl_Coefficient_t coef;
-
-  ppl_new_Coefficient (&coef);
-  ppl_Linear_Expression_coefficient (expr, d, coef);
-  mpz_init (val);
-  ppl_Coefficient_to_mpz_t (coef, val);
-
-  mpz_add (val, val, k);
-
-  ppl_assign_Coefficient_from_mpz_t (coef, val);
-  ppl_Linear_Expression_add_to_coefficient (expr, d, coef);
-  mpz_clear (val);
-  ppl_delete_Coefficient (coef);
-}
-
-/* In the context of scop S, scan E, the right hand side of a scalar
-   evolution function in loop VAR, and translate it to a linear
-   expression EXPR.  */
-
-static void
-scan_tree_for_params_right_scev (sese s, tree e, int var,
-				 ppl_Linear_Expression_t expr)
-{
-  if (expr)
-    {
-      loop_p loop = get_loop (var);
-      ppl_dimension_type l = sese_loop_depth (s, loop) - 1;
-      mpz_t val;
-
-      /* Scalar evolutions should happen in the sese region.  */
-      gcc_assert (sese_loop_depth (s, loop) > 0);
-
-      /* We can not deal with parametric strides like:
-
-      | p = parameter;
-      |
-      | for i:
-      |   a [i * p] = ...   */
-      gcc_assert (TREE_CODE (e) == INTEGER_CST);
-
-      mpz_init (val);
-      tree_int_to_gmp (e, val);
-      add_value_to_dim (l, expr, val);
-      mpz_clear (val);
-    }
-}
-
-/* Scan the integer constant CST, and add it to the inhomogeneous part of the
-   linear expression EXPR.  K is the multiplier of the constant.  */
-
-static void
-scan_tree_for_params_int (tree cst, ppl_Linear_Expression_t expr, mpz_t k)
-{
-  mpz_t val;
-  ppl_Coefficient_t coef;
-  tree type = TREE_TYPE (cst);
-
-  mpz_init (val);
-
-  /* Necessary to not get "-1 = 2^n - 1". */
-  mpz_set_double_int (val, double_int_sext (tree_to_double_int (cst),
-					    TYPE_PRECISION (type)), false);
-
-  mpz_mul (val, val, k);
-  ppl_new_Coefficient (&coef);
-  ppl_assign_Coefficient_from_mpz_t (coef, val);
-  ppl_Linear_Expression_add_to_inhomogeneous (expr, coef);
-  mpz_clear (val);
-  ppl_delete_Coefficient (coef);
+  return pwaff;
 }
 
 /* When parameter NAME is in REGION, returns its index in SESE_PARAMS.
    Otherwise returns -1.  */
 
 static inline int
-parameter_index_in_region_1 (tree name, sese region)
+parameter_index_in_region (tree name, sese_info_p region)
 {
   int i;
   tree p;
-
-  gcc_assert (TREE_CODE (name) == SSA_NAME);
-
-  FOR_EACH_VEC_ELT (tree, SESE_PARAMS (region), i, p)
+  FOR_EACH_VEC_ELT (region->params, i, p)
     if (p == name)
       return i;
-
   return -1;
 }
 
-/* When the parameter NAME is in REGION, returns its index in
-   SESE_PARAMS.  Otherwise this function inserts NAME in SESE_PARAMS
-   and returns the index of NAME.  */
+/* Extract an affine expression from the tree E in the scop S.  */
 
-static int
-parameter_index_in_region (tree name, sese region)
+static isl_pw_aff *
+extract_affine (scop_p s, tree e, __isl_take isl_space *space)
 {
-  int i;
-
-  gcc_assert (TREE_CODE (name) == SSA_NAME);
-
-  i = parameter_index_in_region_1 (name, region);
-  if (i != -1)
-    return i;
-
-  gcc_assert (SESE_ADD_PARAMS (region));
+  isl_pw_aff *lhs, *rhs, *res;
 
-  i = VEC_length (tree, SESE_PARAMS (region));
-  VEC_safe_push (tree, heap, SESE_PARAMS (region), name);
-  return i;
-}
+  if (e == chrec_dont_know) {
+    isl_space_free (space);
+    return NULL;
+  }
 
-/* In the context of sese S, scan the expression E and translate it to
-   a linear expression C.  When parsing a symbolic multiplication, K
-   represents the constant multiplier of an expression containing
-   parameters.  */
-
-static void
-scan_tree_for_params (sese s, tree e, ppl_Linear_Expression_t c,
-		      mpz_t k)
-{
-  if (e == chrec_dont_know)
-    return;
-
+  tree type = TREE_TYPE (e);
   switch (TREE_CODE (e))
     {
     case POLYNOMIAL_CHREC:
-      scan_tree_for_params_right_scev (s, CHREC_RIGHT (e),
-				       CHREC_VARIABLE (e), c);
-      scan_tree_for_params (s, CHREC_LEFT (e), c, k);
+      res = extract_affine_chrec (s, e, space);
       break;
 
     case MULT_EXPR:
-      if (chrec_contains_symbols (TREE_OPERAND (e, 0)))
-	{
-	  if (c)
-	    {
-	      mpz_t val;
-	      gcc_assert (host_integerp (TREE_OPERAND (e, 1), 0));
-	      mpz_init (val);
-	      tree_int_to_gmp (TREE_OPERAND (e, 1), val);
-	      mpz_mul (val, val, k);
-	      scan_tree_for_params (s, TREE_OPERAND (e, 0), c, val);
-	      mpz_clear (val);
-	    }
-	  else
-	    scan_tree_for_params (s, TREE_OPERAND (e, 0), c, k);
-	}
-      else
-	{
-	  if (c)
-	    {
-	      mpz_t val;
-	      gcc_assert (host_integerp (TREE_OPERAND (e, 0), 0));
-	      mpz_init (val);
-	      tree_int_to_gmp (TREE_OPERAND (e, 0), val);
-	      mpz_mul (val, val, k);
-	      scan_tree_for_params (s, TREE_OPERAND (e, 1), c, val);
-	      mpz_clear (val);
-	    }
-	  else
-	    scan_tree_for_params (s, TREE_OPERAND (e, 1), c, k);
-	}
+      res = extract_affine_mul (s, e, space);
       break;
 
-    case PLUS_EXPR:
     case POINTER_PLUS_EXPR:
-      scan_tree_for_params (s, TREE_OPERAND (e, 0), c, k);
-      scan_tree_for_params (s, TREE_OPERAND (e, 1), c, k);
-      break;
-
-    case MINUS_EXPR:
       {
-	ppl_Linear_Expression_t tmp_expr = NULL;
-
-        if (c)
-	  {
-	    ppl_dimension_type dim;
-	    ppl_Linear_Expression_space_dimension (c, &dim);
-	    ppl_new_Linear_Expression_with_dimension (&tmp_expr, dim);
-	  }
-
-	scan_tree_for_params (s, TREE_OPERAND (e, 0), c, k);
-	scan_tree_for_params (s, TREE_OPERAND (e, 1), tmp_expr, k);
-
-	if (c)
-	  {
-	    ppl_subtract_Linear_Expression_from_Linear_Expression (c,
-								   tmp_expr);
-	    ppl_delete_Linear_Expression (tmp_expr);
-	  }
-
+	lhs = extract_affine (s, TREE_OPERAND (e, 0), isl_space_copy (space));
+	/* The RHS of a pointer-plus expression is to be interpreted
+	   as signed value.  Try to look through a sign-changing conversion
+	   first.  */
+	tree tem = TREE_OPERAND (e, 1);
+	STRIP_NOPS (tem);
+	rhs = extract_affine (s, tem, space);
+	if (TYPE_UNSIGNED (TREE_TYPE (tem)))
+	  rhs = wrap (rhs, TYPE_PRECISION (type) - 1);
+	res = isl_pw_aff_add (lhs, rhs);
 	break;
       }
 
-    case NEGATE_EXPR:
-      {
-	ppl_Linear_Expression_t tmp_expr = NULL;
-
-	if (c)
-	  {
-	    ppl_dimension_type dim;
-	    ppl_Linear_Expression_space_dimension (c, &dim);
-	    ppl_new_Linear_Expression_with_dimension (&tmp_expr, dim);
-	  }
+    case PLUS_EXPR:
+      lhs = extract_affine (s, TREE_OPERAND (e, 0), isl_space_copy (space));
+      rhs = extract_affine (s, TREE_OPERAND (e, 1), space);
+      res = isl_pw_aff_add (lhs, rhs);
+      break;
 
-	scan_tree_for_params (s, TREE_OPERAND (e, 0), tmp_expr, k);
-
-	if (c)
-	  {
-	    ppl_subtract_Linear_Expression_from_Linear_Expression (c,
-								   tmp_expr);
-	    ppl_delete_Linear_Expression (tmp_expr);
-	  }
-
-	break;
-      }
+    case MINUS_EXPR:
+      lhs = extract_affine (s, TREE_OPERAND (e, 0), isl_space_copy (space));
+      rhs = extract_affine (s, TREE_OPERAND (e, 1), space);
+      res = isl_pw_aff_sub (lhs, rhs);
+      break;
 
     case BIT_NOT_EXPR:
-      {
-	ppl_Linear_Expression_t tmp_expr = NULL;
-
-	if (c)
-	  {
-	    ppl_dimension_type dim;
-	    ppl_Linear_Expression_space_dimension (c, &dim);
-	    ppl_new_Linear_Expression_with_dimension (&tmp_expr, dim);
-	  }
-
-	scan_tree_for_params (s, TREE_OPERAND (e, 0), tmp_expr, k);
+      lhs = extract_affine (s, integer_minus_one_node, isl_space_copy (space));
+      rhs = extract_affine (s, TREE_OPERAND (e, 0), space);
+      res = isl_pw_aff_sub (lhs, rhs);
+      break;
 
-	if (c)
-	  {
-	    ppl_Coefficient_t coef;
-	    mpz_t minus_one;
-
-	    ppl_subtract_Linear_Expression_from_Linear_Expression (c,
-								   tmp_expr);
-	    ppl_delete_Linear_Expression (tmp_expr);
-	    mpz_init (minus_one);
-	    mpz_set_si (minus_one, -1);
-	    ppl_new_Coefficient_from_mpz_t (&coef, minus_one);
-	    ppl_Linear_Expression_add_to_inhomogeneous (c, coef);
-	    mpz_clear (minus_one);
-	    ppl_delete_Coefficient (coef);
-	  }
-
-	break;
-      }
+    case NEGATE_EXPR:
+      lhs = extract_affine (s, TREE_OPERAND (e, 0), isl_space_copy (space));
+      rhs = extract_affine (s, integer_minus_one_node, space);
+      res = isl_pw_aff_mul (lhs, rhs);
+      break;
 
     case SSA_NAME:
       {
-	ppl_dimension_type p = parameter_index_in_region (e, s);
-
-	if (c)
-	  {
-	    ppl_dimension_type dim;
-	    ppl_Linear_Expression_space_dimension (c, &dim);
-	    p += dim - sese_nb_params (s);
-	    add_value_to_dim (p, c, k);
-	  }
+	gcc_assert (! defined_in_sese_p (e, s->scop_info->region));
+	int dim = parameter_index_in_region (e, s->scop_info);
+	gcc_assert (dim != -1);
+	res = extract_affine_name (dim, space);
 	break;
       }
 
     case INTEGER_CST:
-      if (c)
-	scan_tree_for_params_int (e, c, k);
-      break;
+      res = extract_affine_int (e, space);
+      /* No need to wrap a single integer.  */
+      return res;
 
     CASE_CONVERT:
+      {
+	tree itype = TREE_TYPE (TREE_OPERAND (e, 0));
+	res = extract_affine (s, TREE_OPERAND (e, 0), space);
+	/* Signed values, even if overflow is undefined, get modulo-reduced.
+	   But only if not all values of the old type fit in the new.  */
+	if (! TYPE_UNSIGNED (type)
+	    && ((TYPE_UNSIGNED (TREE_TYPE (TREE_OPERAND (e, 0)))
+		 && TYPE_PRECISION (type) <= TYPE_PRECISION (itype))
+		|| TYPE_PRECISION (type) < TYPE_PRECISION (itype)))
+	  res = wrap (res, TYPE_PRECISION (type) - 1);
+	break;
+      }
+
     case NON_LVALUE_EXPR:
-      scan_tree_for_params (s, TREE_OPERAND (e, 0), c, k);
+      res = extract_affine (s, TREE_OPERAND (e, 0), space);
       break;
 
-    case ADDR_EXPR:
-      break;
-
-   default:
+    default:
       gcc_unreachable ();
       break;
     }
-}
-
-/* Find parameters with respect to REGION in BB. We are looking in memory
-   access functions, conditions and loop bounds.  */
-
-static void
-find_params_in_bb (sese region, gimple_bb_p gbb)
-{
-  int i;
-  unsigned j;
-  data_reference_p dr;
-  gimple stmt;
-  loop_p loop = GBB_BB (gbb)->loop_father;
-  mpz_t one;
-
-  mpz_init (one);
-  mpz_set_si (one, 1);
-
-  /* Find parameters in the access functions of data references.  */
-  FOR_EACH_VEC_ELT (data_reference_p, GBB_DATA_REFS (gbb), i, dr)
-    for (j = 0; j < DR_NUM_DIMENSIONS (dr); j++)
-      scan_tree_for_params (region, DR_ACCESS_FN (dr, j), NULL, one);
-
-  /* Find parameters in conditional statements.  */
-  FOR_EACH_VEC_ELT (gimple, GBB_CONDITIONS (gbb), i, stmt)
-    {
-      tree lhs = scalar_evolution_in_region (region, loop,
-					     gimple_cond_lhs (stmt));
-      tree rhs = scalar_evolution_in_region (region, loop,
-					     gimple_cond_rhs (stmt));
-
-      scan_tree_for_params (region, lhs, NULL, one);
-      scan_tree_for_params (region, rhs, NULL, one);
-    }
-
-  mpz_clear (one);
-}
-
-/* Record the parameters used in the SCOP.  A variable is a parameter
-   in a scop if it does not vary during the execution of that scop.  */
-
-static void
-find_scop_parameters (scop_p scop)
-{
-  poly_bb_p pbb;
-  unsigned i;
-  sese region = SCOP_REGION (scop);
-  struct loop *loop;
-  mpz_t one;
-
-  mpz_init (one);
-  mpz_set_si (one, 1);
-
-  /* Find the parameters used in the loop bounds.  */
-  FOR_EACH_VEC_ELT (loop_p, SESE_LOOP_NEST (region), i, loop)
-    {
-      tree nb_iters = number_of_latch_executions (loop);
-
-      if (!chrec_contains_symbols (nb_iters))
-	continue;
-
-      nb_iters = scalar_evolution_in_region (region, loop, nb_iters);
-      scan_tree_for_params (region, nb_iters, NULL, one);
-    }
-
-  mpz_clear (one);
-
-  /* Find the parameters used in data accesses.  */
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    find_params_in_bb (region, PBB_BLACK_BOX (pbb));
-
-  scop_set_nb_params (scop, sese_nb_params (region));
-  SESE_ADD_PARAMS (region) = false;
-
-  ppl_new_Pointset_Powerset_C_Polyhedron_from_space_dimension
-    (&SCOP_CONTEXT (scop), scop_nb_params (scop), 0);
-}
-
-/* Insert in the SCOP context constraints from the estimation of the
-   number of iterations.  UB_EXPR is a linear expression describing
-   the number of iterations in a loop.  This expression is bounded by
-   the estimation NIT.  */
-
-static void
-add_upper_bounds_from_estimated_nit (scop_p scop, double_int nit,
-				     ppl_dimension_type dim,
-				     ppl_Linear_Expression_t ub_expr)
-{
-  mpz_t val;
-  ppl_Linear_Expression_t nb_iters_le;
-  ppl_Polyhedron_t pol;
-  ppl_Coefficient_t coef;
-  ppl_Constraint_t ub;
-
-  ppl_new_C_Polyhedron_from_space_dimension (&pol, dim, 0);
-  ppl_new_Linear_Expression_from_Linear_Expression (&nb_iters_le,
-						    ub_expr);
-
-  /* Construct the negated number of last iteration in VAL.  */
-  mpz_init (val);
-  mpz_set_double_int (val, nit, false);
-  mpz_sub_ui (val, val, 1);
-  mpz_neg (val, val);
-
-  /* NB_ITERS_LE holds the number of last iteration in
-     parametrical form.  Subtract estimated number of last
-     iteration and assert that result is not positive.  */
-  ppl_new_Coefficient_from_mpz_t (&coef, val);
-  ppl_Linear_Expression_add_to_inhomogeneous (nb_iters_le, coef);
-  ppl_delete_Coefficient (coef);
-  ppl_new_Constraint (&ub, nb_iters_le,
-		      PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
-  ppl_Polyhedron_add_constraint (pol, ub);
-
-  /* Remove all but last GDIM dimensions from POL to obtain
-     only the constraints on the parameters.  */
-  {
-    graphite_dim_t gdim = scop_nb_params (scop);
-    ppl_dimension_type *dims = XNEWVEC (ppl_dimension_type, dim - gdim);
-    graphite_dim_t i;
 
-    for (i = 0; i < dim - gdim; i++)
-      dims[i] = i;
-
-    ppl_Polyhedron_remove_space_dimensions (pol, dims, dim - gdim);
-    XDELETEVEC (dims);
-  }
-
-  /* Add the constraints on the parameters to the SCoP context.  */
-  {
-    ppl_Pointset_Powerset_C_Polyhedron_t constraints_ps;
-
-    ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron
-      (&constraints_ps, pol);
-    ppl_Pointset_Powerset_C_Polyhedron_intersection_assign
-      (SCOP_CONTEXT (scop), constraints_ps);
-    ppl_delete_Pointset_Powerset_C_Polyhedron (constraints_ps);
-  }
-
-  ppl_delete_Polyhedron (pol);
-  ppl_delete_Linear_Expression (nb_iters_le);
-  ppl_delete_Constraint (ub);
-  mpz_clear (val);
-}
-
-/* Builds the constraint polyhedra for LOOP in SCOP.  OUTER_PH gives
-   the constraints for the surrounding loops.  */
-
-static void
-build_loop_iteration_domains (scop_p scop, struct loop *loop,
-                              ppl_Polyhedron_t outer_ph, int nb,
-			      ppl_Pointset_Powerset_C_Polyhedron_t *domains)
-{
-  int i;
-  ppl_Polyhedron_t ph;
-  tree nb_iters = number_of_latch_executions (loop);
-  ppl_dimension_type dim = nb + 1 + scop_nb_params (scop);
-  sese region = SCOP_REGION (scop);
-
-  {
-    ppl_const_Constraint_System_t pcs;
-    ppl_dimension_type *map
-      = (ppl_dimension_type *) XNEWVEC (ppl_dimension_type, dim);
-
-    ppl_new_C_Polyhedron_from_space_dimension (&ph, dim, 0);
-    ppl_Polyhedron_get_constraints (outer_ph, &pcs);
-    ppl_Polyhedron_add_constraints (ph, pcs);
-
-    for (i = 0; i < (int) nb; i++)
-      map[i] = i;
-    for (i = (int) nb; i < (int) dim - 1; i++)
-      map[i] = i + 1;
-    map[dim - 1] = nb;
-
-    ppl_Polyhedron_map_space_dimensions (ph, map, dim);
-    free (map);
-  }
-
-  /* 0 <= loop_i */
-  {
-    ppl_Constraint_t lb;
-    ppl_Linear_Expression_t lb_expr;
+  if (TYPE_UNSIGNED (type))
+    res = wrap (res, TYPE_PRECISION (type));
 
-    ppl_new_Linear_Expression_with_dimension (&lb_expr, dim);
-    ppl_set_coef (lb_expr, nb, 1);
-    ppl_new_Constraint (&lb, lb_expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
-    ppl_delete_Linear_Expression (lb_expr);
-    ppl_Polyhedron_add_constraint (ph, lb);
-    ppl_delete_Constraint (lb);
-  }
-
-  if (TREE_CODE (nb_iters) == INTEGER_CST)
-    {
-      ppl_Constraint_t ub;
-      ppl_Linear_Expression_t ub_expr;
-
-      ppl_new_Linear_Expression_with_dimension (&ub_expr, dim);
-
-      /* loop_i <= cst_nb_iters */
-      ppl_set_coef (ub_expr, nb, -1);
-      ppl_set_inhomogeneous_tree (ub_expr, nb_iters);
-      ppl_new_Constraint (&ub, ub_expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
-      ppl_Polyhedron_add_constraint (ph, ub);
-      ppl_delete_Linear_Expression (ub_expr);
-      ppl_delete_Constraint (ub);
-    }
-  else if (!chrec_contains_undetermined (nb_iters))
-    {
-      mpz_t one;
-      ppl_Constraint_t ub;
-      ppl_Linear_Expression_t ub_expr;
-      double_int nit;
-
-      mpz_init (one);
-      mpz_set_si (one, 1);
-      ppl_new_Linear_Expression_with_dimension (&ub_expr, dim);
-      nb_iters = scalar_evolution_in_region (region, loop, nb_iters);
-      scan_tree_for_params (SCOP_REGION (scop), nb_iters, ub_expr, one);
-      mpz_clear (one);
-
-      if (estimated_loop_iterations (loop, true, &nit))
-	add_upper_bounds_from_estimated_nit (scop, nit, dim, ub_expr);
-
-      /* loop_i <= expr_nb_iters */
-      ppl_set_coef (ub_expr, nb, -1);
-      ppl_new_Constraint (&ub, ub_expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
-      ppl_Polyhedron_add_constraint (ph, ub);
-      ppl_delete_Linear_Expression (ub_expr);
-      ppl_delete_Constraint (ub);
-    }
-  else
-    gcc_unreachable ();
-
-  if (loop->inner && loop_in_sese_p (loop->inner, region))
-    build_loop_iteration_domains (scop, loop->inner, ph, nb + 1, domains);
-
-  if (nb != 0
-      && loop->next
-      && loop_in_sese_p (loop->next, region))
-    build_loop_iteration_domains (scop, loop->next, outer_ph, nb, domains);
-
-  ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron
-    (&domains[loop->num], ph);
-
-  ppl_delete_Polyhedron (ph);
+  return res;
 }
 
 /* Returns a linear expression for tree T evaluated in PBB.  */
 
-static ppl_Linear_Expression_t
-create_linear_expr_from_tree (poly_bb_p pbb, tree t)
+static isl_pw_aff *
+create_pw_aff_from_tree (poly_bb_p pbb, loop_p loop, tree t)
 {
-  mpz_t one;
-  ppl_Linear_Expression_t res;
-  ppl_dimension_type dim;
-  sese region = SCOP_REGION (PBB_SCOP (pbb));
-  loop_p loop = pbb_loop (pbb);
+  scop_p scop = PBB_SCOP (pbb);
 
-  dim = pbb_dim_iter_domain (pbb) + pbb_nb_params (pbb);
-  ppl_new_Linear_Expression_with_dimension (&res, dim);
+  t = scalar_evolution_in_region (scop->scop_info->region, loop, t);
 
-  t = scalar_evolution_in_region (region, loop, t);
+  gcc_assert (!chrec_contains_undetermined (t));
   gcc_assert (!automatically_generated_chrec_p (t));
 
-  mpz_init (one);
-  mpz_set_si (one, 1);
-  scan_tree_for_params (region, t, res, one);
-  mpz_clear (one);
-
-  return res;
-}
-
-/* Returns the ppl constraint type from the gimple tree code CODE.  */
-
-static enum ppl_enum_Constraint_Type
-ppl_constraint_type_from_tree_code (enum tree_code code)
-{
-  switch (code)
-    {
-    /* We do not support LT and GT to be able to work with C_Polyhedron.
-       As we work on integer polyhedron "a < b" can be expressed by
-       "a + 1 <= b".  */
-    case LT_EXPR:
-    case GT_EXPR:
-      gcc_unreachable ();
-
-    case LE_EXPR:
-      return PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL;
-
-    case GE_EXPR:
-      return PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL;
-
-    case EQ_EXPR:
-      return PPL_CONSTRAINT_TYPE_EQUAL;
-
-    default:
-      gcc_unreachable ();
-    }
+  return extract_affine (scop, t, isl_set_get_space (pbb->domain));
 }
 
-/* Add conditional statement STMT to PS.  It is evaluated in PBB and
-   CODE is used as the comparison operator.  This allows us to invert the
-   condition or to handle inequalities.  */
-
-static void
-add_condition_to_domain (ppl_Pointset_Powerset_C_Polyhedron_t ps, gimple stmt,
-			 poly_bb_p pbb, enum tree_code code)
-{
-  mpz_t v;
-  ppl_Coefficient_t c;
-  ppl_Linear_Expression_t left, right;
-  ppl_Constraint_t cstr;
-  enum ppl_enum_Constraint_Type type;
-
-  left = create_linear_expr_from_tree (pbb, gimple_cond_lhs (stmt));
-  right = create_linear_expr_from_tree (pbb, gimple_cond_rhs (stmt));
-
-  /* If we have < or > expressions convert them to <= or >= by adding 1 to
-     the left or the right side of the expression. */
-  if (code == LT_EXPR)
-    {
-      mpz_init (v);
-      mpz_set_si (v, 1);
-      ppl_new_Coefficient (&c);
-      ppl_assign_Coefficient_from_mpz_t (c, v);
-      ppl_Linear_Expression_add_to_inhomogeneous (left, c);
-      ppl_delete_Coefficient (c);
-      mpz_clear (v);
-
-      code = LE_EXPR;
-    }
-  else if (code == GT_EXPR)
-    {
-      mpz_init (v);
-      mpz_set_si (v, 1);
-      ppl_new_Coefficient (&c);
-      ppl_assign_Coefficient_from_mpz_t (c, v);
-      ppl_Linear_Expression_add_to_inhomogeneous (right, c);
-      ppl_delete_Coefficient (c);
-      mpz_clear (v);
-
-      code = GE_EXPR;
-    }
-
-  type = ppl_constraint_type_from_tree_code (code);
-
-  ppl_subtract_Linear_Expression_from_Linear_Expression (left, right);
-
-  ppl_new_Constraint (&cstr, left, type);
-  ppl_Pointset_Powerset_C_Polyhedron_add_constraint (ps, cstr);
-
-  ppl_delete_Constraint (cstr);
-  ppl_delete_Linear_Expression (left);
-  ppl_delete_Linear_Expression (right);
-}
-
-/* Add conditional statement STMT to pbb.  CODE is used as the comparision
+/* Add conditional statement STMT to pbb.  CODE is used as the comparison
    operator.  This allows us to invert the condition or to handle
    inequalities.  */
 
 static void
-add_condition_to_pbb (poly_bb_p pbb, gimple stmt, enum tree_code code)
+add_condition_to_pbb (poly_bb_p pbb, gcond *stmt, enum tree_code code)
 {
-  if (code == NE_EXPR)
+  loop_p loop = gimple_bb (stmt)->loop_father;
+  isl_pw_aff *lhs = create_pw_aff_from_tree (pbb, loop, gimple_cond_lhs (stmt));
+  isl_pw_aff *rhs = create_pw_aff_from_tree (pbb, loop, gimple_cond_rhs (stmt));
+
+  isl_set *cond;
+  switch (code)
     {
-      ppl_Pointset_Powerset_C_Polyhedron_t left = PBB_DOMAIN (pbb);
-      ppl_Pointset_Powerset_C_Polyhedron_t right;
-      ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
-	(&right, left);
-      add_condition_to_domain (left, stmt, pbb, LT_EXPR);
-      add_condition_to_domain (right, stmt, pbb, GT_EXPR);
-      ppl_Pointset_Powerset_C_Polyhedron_upper_bound_assign (left, right);
-      ppl_delete_Pointset_Powerset_C_Polyhedron (right);
+      case LT_EXPR:
+	cond = isl_pw_aff_lt_set (lhs, rhs);
+	break;
+
+      case GT_EXPR:
+	cond = isl_pw_aff_gt_set (lhs, rhs);
+	break;
+
+      case LE_EXPR:
+	cond = isl_pw_aff_le_set (lhs, rhs);
+	break;
+
+      case GE_EXPR:
+	cond = isl_pw_aff_ge_set (lhs, rhs);
+	break;
+
+      case EQ_EXPR:
+	cond = isl_pw_aff_eq_set (lhs, rhs);
+	break;
+
+      case NE_EXPR:
+	cond = isl_pw_aff_ne_set (lhs, rhs);
+	break;
+
+      default:
+	gcc_unreachable ();
     }
-  else
-    add_condition_to_domain (PBB_DOMAIN (pbb), stmt, pbb, code);
+
+  cond = isl_set_coalesce (cond);
+  cond = isl_set_set_tuple_id (cond, isl_set_get_tuple_id (pbb->domain));
+  pbb->domain = isl_set_coalesce (isl_set_intersect (pbb->domain, cond));
 }
 
 /* Add conditions to the domain of PBB.  */
@@ -1257,282 +391,76 @@
 add_conditions_to_domain (poly_bb_p pbb)
 {
   unsigned int i;
-  gimple stmt;
-  gimple_bb_p gbb = PBB_BLACK_BOX (pbb);
+  gimple *stmt;
+  gimple_poly_bb_p gbb = PBB_BLACK_BOX (pbb);
 
-  if (VEC_empty (gimple, GBB_CONDITIONS (gbb)))
+  if (GBB_CONDITIONS (gbb).is_empty ())
     return;
 
-  FOR_EACH_VEC_ELT (gimple, GBB_CONDITIONS (gbb), i, stmt)
+  FOR_EACH_VEC_ELT (GBB_CONDITIONS (gbb), i, stmt)
     switch (gimple_code (stmt))
       {
       case GIMPLE_COND:
 	  {
-	    enum tree_code code = gimple_cond_code (stmt);
+            /* Don't constrain on anything else than INTEGER_TYPE.  */
+	    if (TREE_CODE (TREE_TYPE (gimple_cond_lhs (stmt))) != INTEGER_TYPE)
+              break;
+
+	    gcond *cond_stmt = as_a <gcond *> (stmt);
+	    enum tree_code code = gimple_cond_code (cond_stmt);
 
 	    /* The conditions for ELSE-branches are inverted.  */
-	    if (!VEC_index (gimple, GBB_CONDITION_CASES (gbb), i))
+	    if (!GBB_CONDITION_CASES (gbb)[i])
 	      code = invert_tree_comparison (code, false);
 
-	    add_condition_to_pbb (pbb, stmt, code);
+	    add_condition_to_pbb (pbb, cond_stmt, code);
 	    break;
 	  }
 
-      case GIMPLE_SWITCH:
-	/* Switch statements are not supported right now - fall throught.  */
-
       default:
 	gcc_unreachable ();
 	break;
       }
 }
 
-/* Traverses all the GBBs of the SCOP and add their constraints to the
-   iteration domains.  */
-
-static void
-add_conditions_to_constraints (scop_p scop)
-{
-  int i;
-  poly_bb_p pbb;
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    add_conditions_to_domain (pbb);
-}
-
-/* Structure used to pass data to dom_walk.  */
-
-struct bsc
-{
-  VEC (gimple, heap) **conditions, **cases;
-  sese region;
-};
-
-/* Returns a COND_EXPR statement when BB has a single predecessor, the
-   edge between BB and its predecessor is not a loop exit edge, and
-   the last statement of the single predecessor is a COND_EXPR.  */
-
-static gimple
-single_pred_cond_non_loop_exit (basic_block bb)
-{
-  if (single_pred_p (bb))
-    {
-      edge e = single_pred_edge (bb);
-      basic_block pred = e->src;
-      gimple stmt;
-
-      if (loop_depth (pred->loop_father) > loop_depth (bb->loop_father))
-	return NULL;
-
-      stmt = last_stmt (pred);
-
-      if (stmt && gimple_code (stmt) == GIMPLE_COND)
-	return stmt;
-    }
-
-  return NULL;
-}
-
-/* Call-back for dom_walk executed before visiting the dominated
-   blocks.  */
-
-static void
-build_sese_conditions_before (struct dom_walk_data *dw_data,
-			      basic_block bb)
-{
-  struct bsc *data = (struct bsc *) dw_data->global_data;
-  VEC (gimple, heap) **conditions = data->conditions;
-  VEC (gimple, heap) **cases = data->cases;
-  gimple_bb_p gbb;
-  gimple stmt;
-
-  if (!bb_in_sese_p (bb, data->region))
-    return;
-
-  stmt = single_pred_cond_non_loop_exit (bb);
-
-  if (stmt)
-    {
-      edge e = single_pred_edge (bb);
-
-      VEC_safe_push (gimple, heap, *conditions, stmt);
-
-      if (e->flags & EDGE_TRUE_VALUE)
-	VEC_safe_push (gimple, heap, *cases, stmt);
-      else
-	VEC_safe_push (gimple, heap, *cases, NULL);
-    }
-
-  gbb = gbb_from_bb (bb);
-
-  if (gbb)
-    {
-      GBB_CONDITIONS (gbb) = VEC_copy (gimple, heap, *conditions);
-      GBB_CONDITION_CASES (gbb) = VEC_copy (gimple, heap, *cases);
-    }
-}
-
-/* Call-back for dom_walk executed after visiting the dominated
-   blocks.  */
-
-static void
-build_sese_conditions_after (struct dom_walk_data *dw_data,
-			     basic_block bb)
-{
-  struct bsc *data = (struct bsc *) dw_data->global_data;
-  VEC (gimple, heap) **conditions = data->conditions;
-  VEC (gimple, heap) **cases = data->cases;
-
-  if (!bb_in_sese_p (bb, data->region))
-    return;
-
-  if (single_pred_cond_non_loop_exit (bb))
-    {
-      VEC_pop (gimple, *conditions);
-      VEC_pop (gimple, *cases);
-    }
-}
-
-/* Record all conditions in REGION.  */
-
-static void
-build_sese_conditions (sese region)
-{
-  struct dom_walk_data walk_data;
-  VEC (gimple, heap) *conditions = VEC_alloc (gimple, heap, 3);
-  VEC (gimple, heap) *cases = VEC_alloc (gimple, heap, 3);
-  struct bsc data;
-
-  data.conditions = &conditions;
-  data.cases = &cases;
-  data.region = region;
-
-  walk_data.dom_direction = CDI_DOMINATORS;
-  walk_data.initialize_block_local_data = NULL;
-  walk_data.before_dom_children = build_sese_conditions_before;
-  walk_data.after_dom_children = build_sese_conditions_after;
-  walk_data.global_data = &data;
-  walk_data.block_local_data_size = 0;
-
-  init_walk_dominator_tree (&walk_data);
-  walk_dominator_tree (&walk_data, SESE_ENTRY_BB (region));
-  fini_walk_dominator_tree (&walk_data);
-
-  VEC_free (gimple, heap, conditions);
-  VEC_free (gimple, heap, cases);
-}
-
 /* Add constraints on the possible values of parameter P from the type
    of P.  */
 
 static void
-add_param_constraints (scop_p scop, ppl_Polyhedron_t context, graphite_dim_t p)
+add_param_constraints (scop_p scop, graphite_dim_t p, tree parameter)
 {
-  ppl_Constraint_t cstr;
-  ppl_Linear_Expression_t le;
-  tree parameter = VEC_index (tree, SESE_PARAMS (SCOP_REGION (scop)), p);
   tree type = TREE_TYPE (parameter);
-  tree lb = NULL_TREE;
-  tree ub = NULL_TREE;
+  wide_int min, max;
 
-  if (POINTER_TYPE_P (type) || !TYPE_MIN_VALUE (type))
-    lb = lower_bound_in_type (type, type);
-  else
-    lb = TYPE_MIN_VALUE (type);
+  gcc_assert (INTEGRAL_TYPE_P (type) || POINTER_TYPE_P (type));
 
-  if (POINTER_TYPE_P (type) || !TYPE_MAX_VALUE (type))
-    ub = upper_bound_in_type (type, type);
+  if (INTEGRAL_TYPE_P (type)
+      && get_range_info (parameter, &min, &max) == VR_RANGE)
+    ;
   else
-    ub = TYPE_MAX_VALUE (type);
-
-  if (lb)
     {
-      ppl_new_Linear_Expression_with_dimension (&le, scop_nb_params (scop));
-      ppl_set_coef (le, p, -1);
-      ppl_set_inhomogeneous_tree (le, lb);
-      ppl_new_Constraint (&cstr, le, PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
-      ppl_Polyhedron_add_constraint (context, cstr);
-      ppl_delete_Linear_Expression (le);
-      ppl_delete_Constraint (cstr);
+      min = wi::min_value (TYPE_PRECISION (type), TYPE_SIGN (type));
+      max = wi::max_value (TYPE_PRECISION (type), TYPE_SIGN (type));
     }
 
-  if (ub)
-    {
-      ppl_new_Linear_Expression_with_dimension (&le, scop_nb_params (scop));
-      ppl_set_coef (le, p, -1);
-      ppl_set_inhomogeneous_tree (le, ub);
-      ppl_new_Constraint (&cstr, le, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
-      ppl_Polyhedron_add_constraint (context, cstr);
-      ppl_delete_Linear_Expression (le);
-      ppl_delete_Constraint (cstr);
-    }
-}
-
-/* Build the context of the SCOP.  The context usually contains extra
-   constraints that are added to the iteration domains that constrain
-   some parameters.  */
-
-static void
-build_scop_context (scop_p scop)
-{
-  ppl_Polyhedron_t context;
-  ppl_Pointset_Powerset_C_Polyhedron_t ps;
-  graphite_dim_t p, n = scop_nb_params (scop);
-
-  ppl_new_C_Polyhedron_from_space_dimension (&context, n, 0);
-
-  for (p = 0; p < n; p++)
-    add_param_constraints (scop, context, p);
-
-  ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron
-    (&ps, context);
-  ppl_Pointset_Powerset_C_Polyhedron_intersection_assign
-    (SCOP_CONTEXT (scop), ps);
-
-  ppl_delete_Pointset_Powerset_C_Polyhedron (ps);
-  ppl_delete_Polyhedron (context);
-}
+  isl_space *space = isl_set_get_space (scop->param_context);
+  isl_constraint *c = isl_inequality_alloc (isl_local_space_from_space (space));
+  isl_val *v = isl_val_int_from_wi (scop->isl_context,
+				    widest_int::from (min, TYPE_SIGN (type)));
+  v = isl_val_neg (v);
+  c = isl_constraint_set_constant_val (c, v);
+  c = isl_constraint_set_coefficient_si (c, isl_dim_param, p, 1);
+  scop->param_context = isl_set_coalesce
+      (isl_set_add_constraint (scop->param_context, c));
 
-/* Build the iteration domains: the loops belonging to the current
-   SCOP, and that vary for the execution of the current basic block.
-   Returns false if there is no loop in SCOP.  */
-
-static void
-build_scop_iteration_domain (scop_p scop)
-{
-  struct loop *loop;
-  sese region = SCOP_REGION (scop);
-  int i;
-  ppl_Polyhedron_t ph;
-  poly_bb_p pbb;
-  int nb_loops = number_of_loops ();
-  ppl_Pointset_Powerset_C_Polyhedron_t *domains
-    = XNEWVEC (ppl_Pointset_Powerset_C_Polyhedron_t, nb_loops);
-
-  for (i = 0; i < nb_loops; i++)
-    domains[i] = NULL;
-
-  ppl_new_C_Polyhedron_from_space_dimension (&ph, scop_nb_params (scop), 0);
-
-  FOR_EACH_VEC_ELT (loop_p, SESE_LOOP_NEST (region), i, loop)
-    if (!loop_in_sese_p (loop_outer (loop), region))
-      build_loop_iteration_domains (scop, loop, ph, 0, domains);
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    if (domains[gbb_loop (PBB_BLACK_BOX (pbb))->num])
-      ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
-	(&PBB_DOMAIN (pbb), (ppl_const_Pointset_Powerset_C_Polyhedron_t)
-	 domains[gbb_loop (PBB_BLACK_BOX (pbb))->num]);
-    else
-      ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron
-	(&PBB_DOMAIN (pbb), ph);
-
-  for (i = 0; i < nb_loops; i++)
-    if (domains[i])
-      ppl_delete_Pointset_Powerset_C_Polyhedron (domains[i]);
-
-  ppl_delete_Polyhedron (ph);
-  free (domains);
+  space = isl_set_get_space (scop->param_context);
+  c = isl_inequality_alloc (isl_local_space_from_space (space));
+  v = isl_val_int_from_wi (scop->isl_context,
+			   widest_int::from (max, TYPE_SIGN (type)));
+  c = isl_constraint_set_constant_val (c, v);
+  c = isl_constraint_set_coefficient_si (c, isl_dim_param, p, -1);
+  scop->param_context = isl_set_coalesce
+      (isl_set_add_constraint (scop->param_context, c));
 }
 
 /* Add a constrain to the ACCESSES polyhedron for the alias set of
@@ -1540,28 +468,38 @@
    ACCESSES polyhedron, DOM_NB_DIMS is the dimension of the iteration
    domain.  */
 
-static void
-pdr_add_alias_set (ppl_Polyhedron_t accesses, data_reference_p dr,
-		   ppl_dimension_type accessp_nb_dims,
-		   ppl_dimension_type dom_nb_dims)
+static isl_map *
+pdr_add_alias_set (isl_map *acc, dr_info &dri)
 {
-  ppl_Linear_Expression_t alias;
-  ppl_Constraint_t cstr;
-  int alias_set_num = 0;
-  base_alias_pair *bap = (base_alias_pair *)(dr->aux);
+  isl_constraint *c = isl_equality_alloc
+      (isl_local_space_from_space (isl_map_get_space (acc)));
+  /* Positive numbers for all alias sets.  */
+  c = isl_constraint_set_constant_si (c, -dri.alias_set);
+  c = isl_constraint_set_coefficient_si (c, isl_dim_out, 0, 1);
+
+  return isl_map_add_constraint (acc, c);
+}
+
+/* Assign the affine expression INDEX to the output dimension POS of
+   MAP and return the result.  */
 
-  if (bap && bap->alias_set)
-    alias_set_num = *(bap->alias_set);
-
-  ppl_new_Linear_Expression_with_dimension (&alias, accessp_nb_dims);
+static isl_map *
+set_index (isl_map *map, int pos, isl_pw_aff *index)
+{
+  isl_map *index_map;
+  int len = isl_map_dim (map, isl_dim_out);
+  isl_id *id;
 
-  ppl_set_coef (alias, dom_nb_dims, 1);
-  ppl_set_inhomogeneous (alias, -alias_set_num);
-  ppl_new_Constraint (&cstr, alias, PPL_CONSTRAINT_TYPE_EQUAL);
-  ppl_Polyhedron_add_constraint (accesses, cstr);
+  index_map = isl_map_from_pw_aff (index);
+  index_map = isl_map_insert_dims (index_map, isl_dim_out, 0, pos);
+  index_map = isl_map_add_dims (index_map, isl_dim_out, len - pos - 1);
 
-  ppl_delete_Linear_Expression (alias);
-  ppl_delete_Constraint (cstr);
+  id = isl_map_get_tuple_id (map, isl_dim_out);
+  index_map = isl_map_set_tuple_id (index_map, isl_dim_out, id);
+  id = isl_map_get_tuple_id (map, isl_dim_in);
+  index_map = isl_map_set_tuple_id (index_map, isl_dim_in, id);
+
+  return isl_map_intersect (map, index_map);
 }
 
 /* Add to ACCESSES polyhedron equalities defining the access functions
@@ -1569,43 +507,52 @@
    polyhedron, DOM_NB_DIMS is the dimension of the iteration domain.
    PBB is the poly_bb_p that contains the data reference DR.  */
 
-static void
-pdr_add_memory_accesses (ppl_Polyhedron_t accesses, data_reference_p dr,
-			 ppl_dimension_type accessp_nb_dims,
-			 ppl_dimension_type dom_nb_dims,
-			 poly_bb_p pbb)
+static isl_map *
+pdr_add_memory_accesses (isl_map *acc, dr_info &dri)
 {
+  data_reference_p dr = dri.dr;
+  poly_bb_p pbb = dri.pbb;
   int i, nb_subscripts = DR_NUM_DIMENSIONS (dr);
-  mpz_t v;
   scop_p scop = PBB_SCOP (pbb);
-  sese region = SCOP_REGION (scop);
-
-  mpz_init (v);
 
   for (i = 0; i < nb_subscripts; i++)
     {
-      ppl_Linear_Expression_t fn, access;
-      ppl_Constraint_t cstr;
-      ppl_dimension_type subscript = dom_nb_dims + 1 + i;
-      tree afn = DR_ACCESS_FN (dr, nb_subscripts - 1 - i);
-
-      ppl_new_Linear_Expression_with_dimension (&fn, dom_nb_dims);
-      ppl_new_Linear_Expression_with_dimension (&access, accessp_nb_dims);
+      isl_pw_aff *aff;
+      tree afn = DR_ACCESS_FN (dr, i);
 
-      mpz_set_si (v, 1);
-      scan_tree_for_params (region, afn, fn, v);
-      ppl_assign_Linear_Expression_from_Linear_Expression (access, fn);
-
-      ppl_set_coef (access, subscript, -1);
-      ppl_new_Constraint (&cstr, access, PPL_CONSTRAINT_TYPE_EQUAL);
-      ppl_Polyhedron_add_constraint (accesses, cstr);
-
-      ppl_delete_Linear_Expression (fn);
-      ppl_delete_Linear_Expression (access);
-      ppl_delete_Constraint (cstr);
+      aff = extract_affine (scop, afn,
+			    isl_space_domain (isl_map_get_space (acc)));
+      acc = set_index (acc, nb_subscripts - i , aff);
     }
 
-  mpz_clear (v);
+  return isl_map_coalesce (acc);
+}
+
+/* Return true when the LOW and HIGH bounds of an array reference REF are valid
+   to extract constraints on accessed elements of the array.  Returning false is
+   the conservative answer.  */
+
+static bool
+bounds_are_valid (tree ref, tree low, tree high)
+{
+  if (!high)
+    return false;
+
+  if (!tree_fits_shwi_p (low)
+      || !tree_fits_shwi_p (high))
+    return false;
+
+  /* 1-element arrays at end of structures may extend over
+     their declared size.  */
+  if (array_at_struct_end_p (ref)
+      && operand_equal_p (low, high, 0))
+    return false;
+
+  /* Fortran has some arrays where high bound is -1 and low is 0.  */
+  if (integer_onep (fold_build2 (LT_EXPR, boolean_type_node, high, low)))
+    return false;
+
+  return true;
 }
 
 /* Add constrains representing the size of the accessed data to the
@@ -1613,372 +560,151 @@
    ACCESSES polyhedron, DOM_NB_DIMS is the dimension of the iteration
    domain.  */
 
-static void
-pdr_add_data_dimensions (ppl_Polyhedron_t accesses, data_reference_p dr,
-			 ppl_dimension_type accessp_nb_dims,
-			 ppl_dimension_type dom_nb_dims)
+static isl_set *
+pdr_add_data_dimensions (isl_set *subscript_sizes, scop_p scop,
+			 data_reference_p dr)
 {
   tree ref = DR_REF (dr);
-  int i, nb_subscripts = DR_NUM_DIMENSIONS (dr);
 
-  for (i = nb_subscripts - 1; i >= 0; i--, ref = TREE_OPERAND (ref, 0))
+  int nb_subscripts = DR_NUM_DIMENSIONS (dr);
+  for (int i = nb_subscripts - 1; i >= 0; i--, ref = TREE_OPERAND (ref, 0))
     {
-      ppl_Linear_Expression_t expr;
-      ppl_Constraint_t cstr;
-      ppl_dimension_type subscript = dom_nb_dims + 1 + i;
-      tree low, high;
-
       if (TREE_CODE (ref) != ARRAY_REF)
-	break;
-
-      low = array_ref_low_bound (ref);
-
-      /* subscript - low >= 0 */
-      if (host_integerp (low, 0))
-	{
-	  tree minus_low;
-
-	  ppl_new_Linear_Expression_with_dimension (&expr, accessp_nb_dims);
-	  ppl_set_coef (expr, subscript, 1);
-
-	  minus_low = fold_build1 (NEGATE_EXPR, TREE_TYPE (low), low);
-	  ppl_set_inhomogeneous_tree (expr, minus_low);
-
-	  ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
-	  ppl_Polyhedron_add_constraint (accesses, cstr);
-	  ppl_delete_Linear_Expression (expr);
-	  ppl_delete_Constraint (cstr);
-	}
-
-      high = array_ref_up_bound (ref);
-
-      /* high - subscript >= 0 */
-      if (high && host_integerp (high, 0)
-	  /* 1-element arrays at end of structures may extend over
-	     their declared size.  */
-	  && !(array_at_struct_end_p (ref)
-	       && operand_equal_p (low, high, 0)))
-	{
-	  ppl_new_Linear_Expression_with_dimension (&expr, accessp_nb_dims);
-	  ppl_set_coef (expr, subscript, -1);
+	return subscript_sizes;
 
-	  ppl_set_inhomogeneous_tree (expr, high);
-
-	  ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
-	  ppl_Polyhedron_add_constraint (accesses, cstr);
-	  ppl_delete_Linear_Expression (expr);
-	  ppl_delete_Constraint (cstr);
-	}
-    }
-}
-
-/* Build data accesses for DR in PBB.  */
-
-static void
-build_poly_dr (data_reference_p dr, poly_bb_p pbb)
-{
-  ppl_Polyhedron_t accesses;
-  ppl_Pointset_Powerset_C_Polyhedron_t accesses_ps;
-  ppl_dimension_type dom_nb_dims;
-  ppl_dimension_type accessp_nb_dims;
-  int dr_base_object_set;
+      tree low = array_ref_low_bound (ref);
+      tree high = array_ref_up_bound (ref);
 
-  ppl_Pointset_Powerset_C_Polyhedron_space_dimension (PBB_DOMAIN (pbb),
-						      &dom_nb_dims);
-  accessp_nb_dims = dom_nb_dims + 1 + DR_NUM_DIMENSIONS (dr);
-
-  ppl_new_C_Polyhedron_from_space_dimension (&accesses, accessp_nb_dims, 0);
-
-  pdr_add_alias_set (accesses, dr, accessp_nb_dims, dom_nb_dims);
-  pdr_add_memory_accesses (accesses, dr, accessp_nb_dims, dom_nb_dims, pbb);
-  pdr_add_data_dimensions (accesses, dr, accessp_nb_dims, dom_nb_dims);
+      if (!bounds_are_valid (ref, low, high))
+	continue;
 
-  ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron (&accesses_ps,
-							    accesses);
-  ppl_delete_Polyhedron (accesses);
-
-  gcc_assert (dr->aux);
-  dr_base_object_set = ((base_alias_pair *)(dr->aux))->base_obj_set;
-
-  new_poly_dr (pbb, dr_base_object_set, accesses_ps,
-	       DR_IS_READ (dr) ? PDR_READ : PDR_WRITE,
-	       dr, DR_NUM_DIMENSIONS (dr));
-}
+      isl_space *space = isl_set_get_space (subscript_sizes);
+      isl_pw_aff *lb = extract_affine_int (low, isl_space_copy (space));
+      isl_pw_aff *ub = extract_affine_int (high, isl_space_copy (space));
 
-/* Write to FILE the alias graph of data references in DIMACS format.  */
-
-static inline bool
-write_alias_graph_to_ascii_dimacs (FILE *file, char *comment,
-				   VEC (data_reference_p, heap) *drs)
-{
-  int num_vertex = VEC_length (data_reference_p, drs);
-  int edge_num = 0;
-  data_reference_p dr1, dr2;
-  int i, j;
-
-  if (num_vertex == 0)
-    return true;
-
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    for (j = i + 1; VEC_iterate (data_reference_p, drs, j, dr2); j++)
-      if (dr_may_alias_p (dr1, dr2))
-	edge_num++;
-
-  fprintf (file, "$\n");
-
-  if (comment)
-    fprintf (file, "c %s\n", comment);
-
-  fprintf (file, "p edge %d %d\n", num_vertex, edge_num);
-
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    for (j = i + 1; VEC_iterate (data_reference_p, drs, j, dr2); j++)
-      if (dr_may_alias_p (dr1, dr2))
-	fprintf (file, "e %d %d\n", i + 1, j + 1);
-
-  return true;
-}
-
-/* Write to FILE the alias graph of data references in DOT format.  */
-
-static inline bool
-write_alias_graph_to_ascii_dot (FILE *file, char *comment,
-				VEC (data_reference_p, heap) *drs)
-{
-  int num_vertex = VEC_length (data_reference_p, drs);
-  data_reference_p dr1, dr2;
-  int i, j;
+      /* high >= 0 */
+      isl_set *valid = isl_pw_aff_nonneg_set (isl_pw_aff_copy (ub));
+      valid = isl_set_project_out (valid, isl_dim_set, 0,
+				   isl_set_dim (valid, isl_dim_set));
+      scop->param_context = isl_set_coalesce
+	(isl_set_intersect (scop->param_context, valid));
 
-  if (num_vertex == 0)
-    return true;
-
-  fprintf (file, "$\n");
-
-  if (comment)
-    fprintf (file, "c %s\n", comment);
-
-  /* First print all the vertices.  */
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    fprintf (file, "n%d;\n", i);
-
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    for (j = i + 1; VEC_iterate (data_reference_p, drs, j, dr2); j++)
-      if (dr_may_alias_p (dr1, dr2))
-	fprintf (file, "n%d n%d\n", i, j);
-
-  return true;
-}
-
-/* Write to FILE the alias graph of data references in ECC format.  */
+      isl_aff *aff
+	= isl_aff_zero_on_domain (isl_local_space_from_space (space));
+      aff = isl_aff_add_coefficient_si (aff, isl_dim_in, i + 1, 1);
+      isl_set *univ
+	= isl_set_universe (isl_space_domain (isl_aff_get_space (aff)));
+      isl_pw_aff *index = isl_pw_aff_alloc (univ, aff);
 
-static inline bool
-write_alias_graph_to_ascii_ecc (FILE *file, char *comment,
-				VEC (data_reference_p, heap) *drs)
-{
-  int num_vertex = VEC_length (data_reference_p, drs);
-  data_reference_p dr1, dr2;
-  int i, j;
-
-  if (num_vertex == 0)
-    return true;
+      isl_id *id = isl_set_get_tuple_id (subscript_sizes);
+      lb = isl_pw_aff_set_tuple_id (lb, isl_dim_in, isl_id_copy (id));
+      ub = isl_pw_aff_set_tuple_id (ub, isl_dim_in, id);
 
-  fprintf (file, "$\n");
-
-  if (comment)
-    fprintf (file, "c %s\n", comment);
+      /* low <= sub_i <= high */
+      isl_set *lbs = isl_pw_aff_ge_set (isl_pw_aff_copy (index), lb);
+      isl_set *ubs = isl_pw_aff_le_set (index, ub);
+      subscript_sizes = isl_set_intersect (subscript_sizes, lbs);
+      subscript_sizes = isl_set_intersect (subscript_sizes, ubs);
+    }
 
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    for (j = i + 1; VEC_iterate (data_reference_p, drs, j, dr2); j++)
-      if (dr_may_alias_p (dr1, dr2))
-	fprintf (file, "%d %d\n", i, j);
-
-  return true;
+  return isl_set_coalesce (subscript_sizes);
 }
 
-/* Check if DR1 and DR2 are in the same object set.  */
+/* Build data accesses for DRI.  */
+
+static void
+build_poly_dr (dr_info &dri)
+{
+  isl_map *acc;
+  isl_set *subscript_sizes;
+  poly_bb_p pbb = dri.pbb;
+  data_reference_p dr = dri.dr;
+  scop_p scop = PBB_SCOP (pbb);
+  isl_id *id = isl_id_for_dr (scop);
+
+  {
+    isl_space *dc = isl_set_get_space (pbb->domain);
+    int nb_out = 1 + DR_NUM_DIMENSIONS (dr);
+    isl_space *space = isl_space_add_dims (isl_space_from_domain (dc),
+					   isl_dim_out, nb_out);
 
-static bool
-dr_same_base_object_p (const struct data_reference *dr1,
-		       const struct data_reference *dr2)
-{
-  return operand_equal_p (DR_BASE_OBJECT (dr1), DR_BASE_OBJECT (dr2), 0);
+    acc = isl_map_universe (space);
+    acc = isl_map_set_tuple_id (acc, isl_dim_out, isl_id_copy (id));
+  }
+
+  acc = pdr_add_alias_set (acc, dri);
+  acc = pdr_add_memory_accesses (acc, dri);
+
+  {
+    int nb = 1 + DR_NUM_DIMENSIONS (dr);
+    isl_space *space = isl_space_set_alloc (scop->isl_context, 0, nb);
+
+    space = isl_space_set_tuple_id (space, isl_dim_set, id);
+    subscript_sizes = isl_set_nat_universe (space);
+    subscript_sizes = isl_set_fix_si (subscript_sizes, isl_dim_set, 0,
+				      dri.alias_set);
+    subscript_sizes = pdr_add_data_dimensions (subscript_sizes, scop, dr);
+  }
+
+  new_poly_dr (pbb, DR_STMT (dr), DR_IS_READ (dr) ? PDR_READ : PDR_WRITE,
+	       acc, subscript_sizes);
 }
 
-/* Uses DFS component number as representative of alias-sets. Also tests for
-   optimality by verifying if every connected component is a clique. Returns
-   true (1) if the above test is true, and false (0) otherwise.  */
-
-static int
-build_alias_set_optimal_p (VEC (data_reference_p, heap) *drs)
+static void
+build_poly_sr_1 (poly_bb_p pbb, gimple *stmt, tree var, enum poly_dr_type kind,
+		 isl_map *acc, isl_set *subscript_sizes)
 {
-  int num_vertices = VEC_length (data_reference_p, drs);
-  struct graph *g = new_graph (num_vertices);
-  data_reference_p dr1, dr2;
-  int i, j;
-  int num_connected_components;
-  int v_indx1, v_indx2, num_vertices_in_component;
-  int *all_vertices;
-  int *vertices;
-  struct graph_edge *e;
-  int this_component_is_clique;
-  int all_components_are_cliques = 1;
-
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    for (j = i+1; VEC_iterate (data_reference_p, drs, j, dr2); j++)
-      if (dr_may_alias_p (dr1, dr2))
-	{
-	  add_edge (g, i, j);
-	  add_edge (g, j, i);
-	}
-
-  all_vertices = XNEWVEC (int, num_vertices);
-  vertices = XNEWVEC (int, num_vertices);
-  for (i = 0; i < num_vertices; i++)
-    all_vertices[i] = i;
-
-  num_connected_components = graphds_dfs (g, all_vertices, num_vertices,
-					  NULL, true, NULL);
-  for (i = 0; i < g->n_vertices; i++)
-    {
-      data_reference_p dr = VEC_index (data_reference_p, drs, i);
-      base_alias_pair *bap;
-
-      gcc_assert (dr->aux);
-      bap = (base_alias_pair *)(dr->aux);
+  scop_p scop = PBB_SCOP (pbb);
+  /* Each scalar variables has a unique alias set number starting from
+     the maximum alias set assigned to a dr.  */
+  int alias_set = scop->max_alias_set + SSA_NAME_VERSION (var);
+  subscript_sizes = isl_set_fix_si (subscript_sizes, isl_dim_set, 0,
+				    alias_set);
 
-      bap->alias_set = XNEW (int);
-      *(bap->alias_set) = g->vertices[i].component + 1;
-    }
-
-  /* Verify if the DFS numbering results in optimal solution.  */
-  for (i = 0; i < num_connected_components; i++)
-    {
-      num_vertices_in_component = 0;
-      /* Get all vertices whose DFS component number is the same as i.  */
-      for (j = 0; j < num_vertices; j++)
-	if (g->vertices[j].component == i)
-	  vertices[num_vertices_in_component++] = j;
+  /* Add a constrain to the ACCESSES polyhedron for the alias set of
+     data reference DR.  */
+  isl_constraint *c
+    = isl_equality_alloc (isl_local_space_from_space (isl_map_get_space (acc)));
+  c = isl_constraint_set_constant_si (c, -alias_set);
+  c = isl_constraint_set_coefficient_si (c, isl_dim_out, 0, 1);
 
-      /* Now test if the vertices in 'vertices' form a clique, by testing
-	 for edges among each pair.  */
-      this_component_is_clique = 1;
-      for (v_indx1 = 0; v_indx1 < num_vertices_in_component; v_indx1++)
-	{
-	  for (v_indx2 = v_indx1+1; v_indx2 < num_vertices_in_component; v_indx2++)
-	    {
-	      /* Check if the two vertices are connected by iterating
-		 through all the edges which have one of these are source.  */
-	      e = g->vertices[vertices[v_indx2]].pred;
-	      while (e)
-		{
-		  if (e->src == vertices[v_indx1])
-		    break;
-		  e = e->pred_next;
-		}
-	      if (!e)
-		{
-		  this_component_is_clique = 0;
-		  break;
-		}
-	    }
-	  if (!this_component_is_clique)
-	    all_components_are_cliques = 0;
-	}
-    }
-
-  free (all_vertices);
-  free (vertices);
-  free_graph (g);
-  return all_components_are_cliques;
+  new_poly_dr (pbb, stmt, kind, isl_map_add_constraint (acc, c),
+	       subscript_sizes);
 }
 
-/* Group each data reference in DRS with its base object set num.  */
-
-static void
-build_base_obj_set_for_drs (VEC (data_reference_p, heap) *drs)
-{
-  int num_vertex = VEC_length (data_reference_p, drs);
-  struct graph *g = new_graph (num_vertex);
-  data_reference_p dr1, dr2;
-  int i, j;
-  int *queue;
-
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr1)
-    for (j = i + 1; VEC_iterate (data_reference_p, drs, j, dr2); j++)
-      if (dr_same_base_object_p (dr1, dr2))
-	{
-	  add_edge (g, i, j);
-	  add_edge (g, j, i);
-	}
-
-  queue = XNEWVEC (int, num_vertex);
-  for (i = 0; i < num_vertex; i++)
-    queue[i] = i;
-
-  graphds_dfs (g, queue, num_vertex, NULL, true, NULL);
-
-  for (i = 0; i < g->n_vertices; i++)
-    {
-      data_reference_p dr = VEC_index (data_reference_p, drs, i);
-      base_alias_pair *bap;
-
-      gcc_assert (dr->aux);
-      bap = (base_alias_pair *)(dr->aux);
-
-      bap->base_obj_set = g->vertices[i].component + 1;
-    }
-
-  free (queue);
-  free_graph (g);
-}
-
-/* Build the data references for PBB.  */
+/* Record all cross basic block scalar variables in PBB.  */
 
 static void
-build_pbb_drs (poly_bb_p pbb)
+build_poly_sr (poly_bb_p pbb)
 {
-  int j;
-  data_reference_p dr;
-  VEC (data_reference_p, heap) *gbb_drs = GBB_DATA_REFS (PBB_BLACK_BOX (pbb));
-
-  FOR_EACH_VEC_ELT (data_reference_p, gbb_drs, j, dr)
-    build_poly_dr (dr, pbb);
-}
-
-/* Dump to file the alias graphs for the data references in DRS.  */
-
-static void
-dump_alias_graphs (VEC (data_reference_p, heap) *drs)
-{
-  char comment[100];
-  FILE *file_dimacs, *file_ecc, *file_dot;
+  scop_p scop = PBB_SCOP (pbb);
+  gimple_poly_bb_p gbb = PBB_BLACK_BOX (pbb);
+  vec<scalar_use> &reads = gbb->read_scalar_refs;
+  vec<tree> &writes = gbb->write_scalar_refs;
 
-  file_dimacs = fopen ("/tmp/dr_alias_graph_dimacs", "ab");
-  if (file_dimacs)
-    {
-      snprintf (comment, sizeof (comment), "%s %s", main_input_filename,
-		current_function_name ());
-      write_alias_graph_to_ascii_dimacs (file_dimacs, comment, drs);
-      fclose (file_dimacs);
-    }
+  isl_space *dc = isl_set_get_space (pbb->domain);
+  int nb_out = 1;
+  isl_space *space = isl_space_add_dims (isl_space_from_domain (dc),
+					 isl_dim_out, nb_out);
+  isl_id *id = isl_id_for_dr (scop);
+  space = isl_space_set_tuple_id (space, isl_dim_set, isl_id_copy (id));
+  isl_map *acc = isl_map_universe (isl_space_copy (space));
+  acc = isl_map_set_tuple_id (acc, isl_dim_out, id);
+  isl_set *subscript_sizes = isl_set_nat_universe (space);
 
-  file_ecc = fopen ("/tmp/dr_alias_graph_ecc", "ab");
-  if (file_ecc)
-    {
-      snprintf (comment, sizeof (comment), "%s %s", main_input_filename,
-		current_function_name ());
-      write_alias_graph_to_ascii_ecc (file_ecc, comment, drs);
-      fclose (file_ecc);
-    }
+  int i;
+  tree var;
+  FOR_EACH_VEC_ELT (writes, i, var)
+    build_poly_sr_1 (pbb, SSA_NAME_DEF_STMT (var), var, PDR_WRITE,
+		     isl_map_copy (acc), isl_set_copy (subscript_sizes));
 
-  file_dot = fopen ("/tmp/dr_alias_graph_dot", "ab");
-  if (file_dot)
-    {
-      snprintf (comment, sizeof (comment), "%s %s", main_input_filename,
-		current_function_name ());
-      write_alias_graph_to_ascii_dot (file_dot, comment, drs);
-      fclose (file_dot);
-    }
+  scalar_use *use;
+  FOR_EACH_VEC_ELT (reads, i, use)
+    build_poly_sr_1 (pbb, use->first, use->second, PDR_READ, isl_map_copy (acc),
+		     isl_set_copy (subscript_sizes));
+
+  isl_map_free (acc);
+  isl_set_free (subscript_sizes);
 }
 
 /* Build data references in SCOP.  */
@@ -1986,1325 +712,518 @@
 static void
 build_scop_drs (scop_p scop)
 {
-  int i, j;
-  poly_bb_p pbb;
-  data_reference_p dr;
-  VEC (data_reference_p, heap) *drs = VEC_alloc (data_reference_p, heap, 3);
-
-  /* Remove all the PBBs that do not have data references: these basic
-     blocks are not handled in the polyhedral representation.  */
-  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
-    if (VEC_empty (data_reference_p, GBB_DATA_REFS (PBB_BLACK_BOX (pbb))))
-      {
-	free_gimple_bb (PBB_BLACK_BOX (pbb));
-	VEC_ordered_remove (poly_bb_p, SCOP_BBS (scop), i);
-	i--;
-      }
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    for (j = 0; VEC_iterate (data_reference_p,
-			     GBB_DATA_REFS (PBB_BLACK_BOX (pbb)), j, dr); j++)
-      VEC_safe_push (data_reference_p, heap, drs, dr);
-
-  FOR_EACH_VEC_ELT (data_reference_p, drs, i, dr)
-    dr->aux = XNEW (base_alias_pair);
+  int i;
+  dr_info *dri;
+  FOR_EACH_VEC_ELT (scop->drs, i, dri)
+    build_poly_dr (*dri);
 
-  if (!build_alias_set_optimal_p (drs))
-    {
-      /* TODO: Add support when building alias set is not optimal.  */
-      ;
-    }
-
-  build_base_obj_set_for_drs (drs);
-
-  /* When debugging, enable the following code.  This cannot be used
-     in production compilers.  */
-  if (0)
-    dump_alias_graphs (drs);
-
-  VEC_free (data_reference_p, heap, drs);
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    build_pbb_drs (pbb);
-}
-
-/* Return a gsi at the position of the phi node STMT.  */
-
-static gimple_stmt_iterator
-gsi_for_phi_node (gimple stmt)
-{
-  gimple_stmt_iterator psi;
-  basic_block bb = gimple_bb (stmt);
-
-  for (psi = gsi_start_phis (bb); !gsi_end_p (psi); gsi_next (&psi))
-    if (stmt == gsi_stmt (psi))
-      return psi;
-
-  gcc_unreachable ();
-  return psi;
+  poly_bb_p pbb;
+  FOR_EACH_VEC_ELT (scop->pbbs, i, pbb)
+    build_poly_sr (pbb);
 }
 
-/* Analyze all the data references of STMTS and add them to the
-   GBB_DATA_REFS vector of BB.  */
-
-static void
-analyze_drs_in_stmts (scop_p scop, basic_block bb, VEC (gimple, heap) *stmts)
-{
-  loop_p nest;
-  gimple_bb_p gbb;
-  gimple stmt;
-  int i;
-  sese region = SCOP_REGION (scop);
-
-  if (!bb_in_sese_p (bb, region))
-    return;
-
-  nest = outermost_loop_in_sese_1 (region, bb);
-  gbb = gbb_from_bb (bb);
-
-  FOR_EACH_VEC_ELT (gimple, stmts, i, stmt)
-    {
-      loop_p loop;
-
-      if (is_gimple_debug (stmt))
-	continue;
-
-      loop = loop_containing_stmt (stmt);
-      if (!loop_in_sese_p (loop, region))
-	loop = nest;
-
-      graphite_find_data_references_in_stmt (nest, loop, stmt,
-					     &GBB_DATA_REFS (gbb));
-    }
-}
-
-/* Insert STMT at the end of the STMTS sequence and then insert the
-   statements from STMTS at INSERT_GSI and call analyze_drs_in_stmts
-   on STMTS.  */
-
-static void
-insert_stmts (scop_p scop, gimple stmt, gimple_seq stmts,
-	      gimple_stmt_iterator insert_gsi)
-{
-  gimple_stmt_iterator gsi;
-  VEC (gimple, heap) *x = VEC_alloc (gimple, heap, 3);
+/* Add to the iteration DOMAIN one extra dimension for LOOP->num.  */
 
-  if (!stmts)
-    stmts = gimple_seq_alloc ();
-
-  gsi = gsi_last (stmts);
-  gsi_insert_after (&gsi, stmt, GSI_NEW_STMT);
-  for (gsi = gsi_start (stmts); !gsi_end_p (gsi); gsi_next (&gsi))
-    VEC_safe_push (gimple, heap, x, gsi_stmt (gsi));
-
-  gsi_insert_seq_before (&insert_gsi, stmts, GSI_SAME_STMT);
-  analyze_drs_in_stmts (scop, gsi_bb (insert_gsi), x);
-  VEC_free (gimple, heap, x);
-}
-
-/* Insert the assignment "RES := EXPR" just after AFTER_STMT.  */
-
-static void
-insert_out_of_ssa_copy (scop_p scop, tree res, tree expr, gimple after_stmt)
+static isl_set *
+add_iter_domain_dimension (__isl_take isl_set *domain, loop_p loop, scop_p scop)
 {
-  gimple_seq stmts;
-  gimple_stmt_iterator si;
-  gimple_stmt_iterator gsi;
-  tree var = force_gimple_operand (expr, &stmts, true, NULL_TREE);
-  gimple stmt = gimple_build_assign (res, var);
-  VEC (gimple, heap) *x = VEC_alloc (gimple, heap, 3);
-
-  if (!stmts)
-    stmts = gimple_seq_alloc ();
-  si = gsi_last (stmts);
-  gsi_insert_after (&si, stmt, GSI_NEW_STMT);
-  for (gsi = gsi_start (stmts); !gsi_end_p (gsi); gsi_next (&gsi))
-    VEC_safe_push (gimple, heap, x, gsi_stmt (gsi));
-
-  if (gimple_code (after_stmt) == GIMPLE_PHI)
-    {
-      gsi = gsi_after_labels (gimple_bb (after_stmt));
-      gsi_insert_seq_before (&gsi, stmts, GSI_NEW_STMT);
-    }
-  else
-    {
-      gsi = gsi_for_stmt (after_stmt);
-      gsi_insert_seq_after (&gsi, stmts, GSI_NEW_STMT);
-    }
-
-  analyze_drs_in_stmts (scop, gimple_bb (after_stmt), x);
-  VEC_free (gimple, heap, x);
+  int loop_index = isl_set_dim (domain, isl_dim_set);
+  domain = isl_set_add_dims (domain, isl_dim_set, 1);
+  char name[50];
+  snprintf (name, sizeof(name), "i%d", loop->num);
+  isl_id *label = isl_id_alloc (scop->isl_context, name, NULL);
+  return isl_set_set_dim_id (domain, isl_dim_set, loop_index, label);
 }
 
-/* Creates a poly_bb_p for basic_block BB from the existing PBB.  */
-
-static void
-new_pbb_from_pbb (scop_p scop, poly_bb_p pbb, basic_block bb)
-{
-  VEC (data_reference_p, heap) *drs = VEC_alloc (data_reference_p, heap, 3);
-  gimple_bb_p gbb = PBB_BLACK_BOX (pbb);
-  gimple_bb_p gbb1 = new_gimple_bb (bb, drs);
-  poly_bb_p pbb1 = new_poly_bb (scop, gbb1);
-  int index, n = VEC_length (poly_bb_p, SCOP_BBS (scop));
-
-  /* The INDEX of PBB in SCOP_BBS.  */
-  for (index = 0; index < n; index++)
-    if (VEC_index (poly_bb_p, SCOP_BBS (scop), index) == pbb)
-      break;
-
-  if (PBB_DOMAIN (pbb))
-    ppl_new_Pointset_Powerset_C_Polyhedron_from_Pointset_Powerset_C_Polyhedron
-      (&PBB_DOMAIN (pbb1), PBB_DOMAIN (pbb));
-
-  GBB_PBB (gbb1) = pbb1;
-  GBB_CONDITIONS (gbb1) = VEC_copy (gimple, heap, GBB_CONDITIONS (gbb));
-  GBB_CONDITION_CASES (gbb1) = VEC_copy (gimple, heap, GBB_CONDITION_CASES (gbb));
-  VEC_safe_insert (poly_bb_p, heap, SCOP_BBS (scop), index + 1, pbb1);
-}
-
-/* Insert on edge E the assignment "RES := EXPR".  */
-
-static void
-insert_out_of_ssa_copy_on_edge (scop_p scop, edge e, tree res, tree expr)
-{
-  gimple_stmt_iterator gsi;
-  gimple_seq stmts;
-  tree var = force_gimple_operand (expr, &stmts, true, NULL_TREE);
-  gimple stmt = gimple_build_assign (res, var);
-  basic_block bb;
-  VEC (gimple, heap) *x = VEC_alloc (gimple, heap, 3);
+/* Add constraints to DOMAIN for each loop from LOOP up to CONTEXT.  */
 
-  if (!stmts)
-    stmts = gimple_seq_alloc ();
-
-  gsi = gsi_last (stmts);
-  gsi_insert_after (&gsi, stmt, GSI_NEW_STMT);
-  for (gsi = gsi_start (stmts); !gsi_end_p (gsi); gsi_next (&gsi))
-    VEC_safe_push (gimple, heap, x, gsi_stmt (gsi));
-
-  gsi_insert_seq_on_edge (e, stmts);
-  gsi_commit_edge_inserts ();
-  bb = gimple_bb (stmt);
-
-  if (!bb_in_sese_p (bb, SCOP_REGION (scop)))
-    return;
-
-  if (!gbb_from_bb (bb))
-    new_pbb_from_pbb (scop, pbb_from_bb (e->src), bb);
-
-  analyze_drs_in_stmts (scop, bb, x);
-  VEC_free (gimple, heap, x);
-}
-
-/* Creates a zero dimension array of the same type as VAR.  */
-
-static tree
-create_zero_dim_array (tree var, const char *base_name)
-{
-  tree index_type = build_index_type (integer_zero_node);
-  tree elt_type = TREE_TYPE (var);
-  tree array_type = build_array_type (elt_type, index_type);
-  tree base = create_tmp_var (array_type, base_name);
-
-  add_referenced_var (base);
-
-  return build4 (ARRAY_REF, elt_type, base, integer_zero_node, NULL_TREE,
-		 NULL_TREE);
-}
-
-/* Returns true when PHI is a loop close phi node.  */
-
-static bool
-scalar_close_phi_node_p (gimple phi)
+static isl_set *
+add_loop_constraints (scop_p scop, __isl_take isl_set *domain, loop_p loop,
+		      loop_p context)
 {
-  if (gimple_code (phi) != GIMPLE_PHI
-      || !is_gimple_reg (gimple_phi_result (phi)))
-    return false;
-
-  /* Note that loop close phi nodes should have a single argument
-     because we translated the representation into a canonical form
-     before Graphite: see canonicalize_loop_closed_ssa_form.  */
-  return (gimple_phi_num_args (phi) == 1);
-}
+  if (loop == context)
+    return domain;
+  const sese_l &region = scop->scop_info->region;
+  if (!loop_in_sese_p (loop, region))
+    return domain;
 
-/* For a definition DEF in REGION, propagates the expression EXPR in
-   all the uses of DEF outside REGION.  */
+  /* Recursion all the way up to the context loop.  */
+  domain = add_loop_constraints (scop, domain, loop_outer (loop), context);
 
-static void
-propagate_expr_outside_region (tree def, tree expr, sese region)
-{
-  imm_use_iterator imm_iter;
-  gimple use_stmt;
-  gimple_seq stmts;
-  bool replaced_once = false;
+  /* Then, build constraints over the loop in post-order: outer to inner.  */
 
-  gcc_assert (TREE_CODE (def) == SSA_NAME);
-
-  expr = force_gimple_operand (unshare_expr (expr), &stmts, true,
-			       NULL_TREE);
+  int loop_index = isl_set_dim (domain, isl_dim_set);
+  if (dump_file)
+    fprintf (dump_file, "[sese-to-poly] adding one extra dimension to the "
+	     "domain for loop_%d.\n", loop->num);
+  domain = add_iter_domain_dimension (domain, loop, scop);
+  isl_space *space = isl_set_get_space (domain);
 
-  FOR_EACH_IMM_USE_STMT (use_stmt, imm_iter, def)
-    if (!is_gimple_debug (use_stmt)
-	&& !bb_in_sese_p (gimple_bb (use_stmt), region))
-      {
-	ssa_op_iter iter;
-	use_operand_p use_p;
+  /* 0 <= loop_i */
+  isl_local_space *ls = isl_local_space_from_space (isl_space_copy (space));
+  isl_constraint *c = isl_inequality_alloc (ls);
+  c = isl_constraint_set_coefficient_si (c, isl_dim_set, loop_index, 1);
+  if (dump_file)
+    {
+      fprintf (dump_file, "[sese-to-poly] adding constraint to the domain: ");
+      print_isl_constraint (dump_file, c);
+    }
+  domain = isl_set_add_constraint (domain, c);
 
-	FOR_EACH_PHI_OR_STMT_USE (use_p, use_stmt, iter, SSA_OP_ALL_USES)
-	  if (operand_equal_p (def, USE_FROM_PTR (use_p), 0)
-	      && (replaced_once = true))
-	    replace_exp (use_p, expr);
-
-	update_stmt (use_stmt);
-      }
-
-  if (replaced_once)
+  tree nb_iters = number_of_latch_executions (loop);
+  if (TREE_CODE (nb_iters) == INTEGER_CST)
     {
-      gsi_insert_seq_on_edge (SESE_ENTRY (region), stmts);
-      gsi_commit_edge_inserts ();
+      /* loop_i <= cst_nb_iters */
+      isl_local_space *ls = isl_local_space_from_space (space);
+      isl_constraint *c = isl_inequality_alloc (ls);
+      c = isl_constraint_set_coefficient_si (c, isl_dim_set, loop_index, -1);
+      isl_val *v
+	= isl_val_int_from_wi (scop->isl_context, wi::to_widest (nb_iters));
+      c = isl_constraint_set_constant_val (c, v);
+      return isl_set_add_constraint (domain, c);
     }
-}
-
-/* Rewrite out of SSA the reduction phi node at PSI by creating a zero
-   dimension array for it.  */
+  /* loop_i <= expr_nb_iters */
+  gcc_assert (!chrec_contains_undetermined (nb_iters));
+  nb_iters = scalar_evolution_in_region (region, loop, nb_iters);
+  gcc_assert (!chrec_contains_undetermined (nb_iters));
 
-static void
-rewrite_close_phi_out_of_ssa (scop_p scop, gimple_stmt_iterator *psi)
-{
-  sese region = SCOP_REGION (scop);
-  gimple phi = gsi_stmt (*psi);
-  tree res = gimple_phi_result (phi);
-  tree var = SSA_NAME_VAR (res);
-  basic_block bb = gimple_bb (phi);
-  gimple_stmt_iterator gsi = gsi_after_labels (bb);
-  tree arg = gimple_phi_arg_def (phi, 0);
-  gimple stmt;
+  isl_pw_aff *aff_nb_iters = extract_affine (scop, nb_iters,
+					     isl_space_copy (space));
+  isl_set *valid = isl_pw_aff_nonneg_set (isl_pw_aff_copy (aff_nb_iters));
+  valid = isl_set_project_out (valid, isl_dim_set, 0,
+			       isl_set_dim (valid, isl_dim_set));
 
-  /* Note that loop close phi nodes should have a single argument
-     because we translated the representation into a canonical form
-     before Graphite: see canonicalize_loop_closed_ssa_form.  */
-  gcc_assert (gimple_phi_num_args (phi) == 1);
+  if (valid)
+    scop->param_context = isl_set_intersect (scop->param_context, valid);
 
-  /* The phi node can be a non close phi node, when its argument is
-     invariant, or a default definition.  */
-  if (is_gimple_min_invariant (arg)
-      || SSA_NAME_IS_DEFAULT_DEF (arg))
+  ls = isl_local_space_from_space (isl_space_copy (space));
+  isl_aff *loop_i = isl_aff_set_coefficient_si (isl_aff_zero_on_domain (ls),
+						isl_dim_in, loop_index, 1);
+  isl_set *le = isl_pw_aff_le_set (isl_pw_aff_from_aff (loop_i),
+				   isl_pw_aff_copy (aff_nb_iters));
+  if (dump_file)
     {
-      propagate_expr_outside_region (res, arg, region);
-      gsi_next (psi);
-      return;
+      fprintf (dump_file, "[sese-to-poly] adding constraint to the domain: ");
+      print_isl_set (dump_file, le);
     }
+  domain = isl_set_intersect (domain, le);
 
-  else if (gimple_bb (SSA_NAME_DEF_STMT (arg))->loop_father == bb->loop_father)
+  widest_int nit;
+  if (!max_stmt_executions (loop, &nit))
     {
-      propagate_expr_outside_region (res, arg, region);
-      stmt = gimple_build_assign (res, arg);
-      remove_phi_node (psi, false);
-      gsi_insert_before (&gsi, stmt, GSI_NEW_STMT);
-      SSA_NAME_DEF_STMT (res) = stmt;
-      return;
+      isl_pw_aff_free (aff_nb_iters);
+      isl_space_free (space);
+      return domain;
     }
 
-  /* If res is scev analyzable and is not a scalar value, it is safe
-     to ignore the close phi node: it will be code generated in the
-     out of Graphite pass.  */
-  else if (scev_analyzable_p (res, region))
-    {
-      loop_p loop = loop_containing_stmt (SSA_NAME_DEF_STMT (res));
-      tree scev;
+  /* NIT is an upper bound to NB_ITERS: "NIT >= NB_ITERS", although we
+     do not know whether the loop executes at least once.  */
+  --nit;
 
-      if (!loop_in_sese_p (loop, region))
-	{
-	  loop = loop_containing_stmt (SSA_NAME_DEF_STMT (arg));
-	  scev = scalar_evolution_in_region (region, loop, arg);
-	  scev = compute_overall_effect_of_inner_loop (loop, scev);
-	}
-      else
-	scev = scalar_evolution_in_region (region, loop, res);
-
-      if (tree_does_not_contain_chrecs (scev))
-	propagate_expr_outside_region (res, scev, region);
-
-      gsi_next (psi);
-      return;
-    }
-  else
-    {
-      tree zero_dim_array = create_zero_dim_array (var, "Close_Phi");
-
-      stmt = gimple_build_assign (res, zero_dim_array);
+  isl_pw_aff *approx = extract_affine_wi (nit, isl_space_copy (space));
+  isl_set *x = isl_pw_aff_ge_set (approx, aff_nb_iters);
+  x = isl_set_project_out (x, isl_dim_set, 0,
+			   isl_set_dim (x, isl_dim_set));
+  scop->param_context = isl_set_intersect (scop->param_context, x);
 
-      if (TREE_CODE (arg) == SSA_NAME)
-	insert_out_of_ssa_copy (scop, zero_dim_array, arg,
-				SSA_NAME_DEF_STMT (arg));
-      else
-	insert_out_of_ssa_copy_on_edge (scop, single_pred_edge (bb),
-					zero_dim_array, arg);
-    }
-
-  remove_phi_node (psi, false);
-  SSA_NAME_DEF_STMT (res) = stmt;
-
-  insert_stmts (scop, stmt, NULL, gsi_after_labels (bb));
-}
-
-/* Rewrite out of SSA the reduction phi node at PSI by creating a zero
-   dimension array for it.  */
+  ls = isl_local_space_from_space (space);
+  c = isl_inequality_alloc (ls);
+  c = isl_constraint_set_coefficient_si (c, isl_dim_set, loop_index, -1);
+  isl_val *v = isl_val_int_from_wi (scop->isl_context, nit);
+  c = isl_constraint_set_constant_val (c, v);
 
-static void
-rewrite_phi_out_of_ssa (scop_p scop, gimple_stmt_iterator *psi)
-{
-  size_t i;
-  gimple phi = gsi_stmt (*psi);
-  basic_block bb = gimple_bb (phi);
-  tree res = gimple_phi_result (phi);
-  tree var = SSA_NAME_VAR (res);
-  tree zero_dim_array = create_zero_dim_array (var, "phi_out_of_ssa");
-  gimple stmt;
-  gimple_seq stmts;
-
-  for (i = 0; i < gimple_phi_num_args (phi); i++)
+  if (dump_file)
     {
-      tree arg = gimple_phi_arg_def (phi, i);
-      edge e = gimple_phi_arg_edge (phi, i);
-
-      /* Avoid the insertion of code in the loop latch to please the
-	 pattern matching of the vectorizer.  */
-      if (TREE_CODE (arg) == SSA_NAME
-	  && e->src == bb->loop_father->latch)
-	insert_out_of_ssa_copy (scop, zero_dim_array, arg,
-				SSA_NAME_DEF_STMT (arg));
-      else
-	insert_out_of_ssa_copy_on_edge (scop, e, zero_dim_array, arg);
+      fprintf (dump_file, "[sese-to-poly] adding constraint to the domain: ");
+      print_isl_constraint (dump_file, c);
     }
 
-  var = force_gimple_operand (zero_dim_array, &stmts, true, NULL_TREE);
-
-  stmt = gimple_build_assign (res, var);
-  remove_phi_node (psi, false);
-  SSA_NAME_DEF_STMT (res) = stmt;
-
-  insert_stmts (scop, stmt, stmts, gsi_after_labels (bb));
-}
-
-/* Rewrite the degenerate phi node at position PSI from the degenerate
-   form "x = phi (y, y, ..., y)" to "x = y".  */
-
-static void
-rewrite_degenerate_phi (gimple_stmt_iterator *psi)
-{
-  tree rhs;
-  gimple stmt;
-  gimple_stmt_iterator gsi;
-  gimple phi = gsi_stmt (*psi);
-  tree res = gimple_phi_result (phi);
-  basic_block bb;
-
-  bb = gimple_bb (phi);
-  rhs = degenerate_phi_result (phi);
-  gcc_assert (rhs);
-
-  stmt = gimple_build_assign (res, rhs);
-  remove_phi_node (psi, false);
-  SSA_NAME_DEF_STMT (res) = stmt;
-
-  gsi = gsi_after_labels (bb);
-  gsi_insert_before (&gsi, stmt, GSI_NEW_STMT);
+  return isl_set_add_constraint (domain, c);
 }
 
-/* Rewrite out of SSA all the reduction phi nodes of SCOP.  */
+/* Builds the original iteration domains for each pbb in the SCOP.  */
 
-static void
-rewrite_reductions_out_of_ssa (scop_p scop)
+static int
+build_iteration_domains (scop_p scop, __isl_keep isl_set *context,
+			 int index, loop_p context_loop)
 {
-  basic_block bb;
-  gimple_stmt_iterator psi;
-  sese region = SCOP_REGION (scop);
-
-  FOR_EACH_BB (bb)
-    if (bb_in_sese_p (bb, region))
-      for (psi = gsi_start_phis (bb); !gsi_end_p (psi);)
-	{
-	  gimple phi = gsi_stmt (psi);
+  loop_p current = pbb_loop (scop->pbbs[index]);
+  isl_set *domain = isl_set_copy (context);
+  domain = add_loop_constraints (scop, domain, current, context_loop);
+  const sese_l &region = scop->scop_info->region;
 
-	  if (!is_gimple_reg (gimple_phi_result (phi)))
-	    {
-	      gsi_next (&psi);
-	      continue;
-	    }
+  int i;
+  poly_bb_p pbb;
+  FOR_EACH_VEC_ELT_FROM (scop->pbbs, i, pbb, index)
+    {
+      loop_p loop = pbb_loop (pbb);
+      if (current == loop)
+	{
+	  pbb->iterators = isl_set_copy (domain);
+	  pbb->domain = isl_set_copy (domain);
+	  pbb->domain = isl_set_set_tuple_id (pbb->domain,
+					      isl_id_for_pbb (scop, pbb));
+	  add_conditions_to_domain (pbb);
 
-	  if (gimple_phi_num_args (phi) > 1
-	      && degenerate_phi_result (phi))
-	    rewrite_degenerate_phi (&psi);
-
-	  else if (scalar_close_phi_node_p (phi))
-	    rewrite_close_phi_out_of_ssa (scop, &psi);
-
-	  else if (reduction_phi_p (region, &psi))
-	    rewrite_phi_out_of_ssa (scop, &psi);
+	  if (dump_file)
+	    {
+	      fprintf (dump_file, "[sese-to-poly] set pbb_%d->domain: ",
+		       pbb_index (pbb));
+	      print_isl_set (dump_file, domain);
+	    }
+	  continue;
 	}
 
-  update_ssa (TODO_update_ssa);
-#ifdef ENABLE_CHECKING
-  verify_loop_closed_ssa (true);
-#endif
+      while (loop_in_sese_p (loop, region)
+	     && current != loop)
+	loop = loop_outer (loop);
+
+      if (current != loop)
+	{
+	  /* A statement in a different loop nest than CURRENT loop.  */
+	  isl_set_free (domain);
+	  return i;
+	}
+
+      /* A statement nested in the CURRENT loop.  */
+      i = build_iteration_domains (scop, domain, i, current);
+      i--;
+    }
+
+  isl_set_free (domain);
+  return i;
 }
 
-/* Rewrite the scalar dependence of DEF used in USE_STMT with a memory
-   read from ZERO_DIM_ARRAY.  */
+/* Assign dimension for each parameter in SCOP and add constraints for the
+   parameters.  */
 
 static void
-rewrite_cross_bb_scalar_dependence (scop_p scop, tree zero_dim_array,
-				    tree def, gimple use_stmt)
+build_scop_context (scop_p scop)
 {
-  tree var = SSA_NAME_VAR (def);
-  gimple name_stmt = gimple_build_assign (var, zero_dim_array);
-  tree name = make_ssa_name (var, name_stmt);
-  ssa_op_iter iter;
-  use_operand_p use_p;
+  sese_info_p region = scop->scop_info;
+  unsigned nbp = sese_nb_params (region);
+  isl_space *space = isl_space_set_alloc (scop->isl_context, nbp, 0);
 
-  gcc_assert (gimple_code (use_stmt) != GIMPLE_PHI);
-
-  gimple_assign_set_lhs (name_stmt, name);
-  insert_stmts (scop, name_stmt, NULL, gsi_for_stmt (use_stmt));
+  unsigned i;
+  tree e;
+  FOR_EACH_VEC_ELT (region->params, i, e)
+    space = isl_space_set_dim_id (space, isl_dim_param, i,
+                                  isl_id_for_ssa_name (scop, e));
 
-  FOR_EACH_SSA_USE_OPERAND (use_p, use_stmt, iter, SSA_OP_ALL_USES)
-    if (operand_equal_p (def, USE_FROM_PTR (use_p), 0))
-      replace_exp (use_p, name);
+  scop->param_context = isl_set_universe (space);
 
-  update_stmt (use_stmt);
+  FOR_EACH_VEC_ELT (region->params, i, e)
+    add_param_constraints (scop, i, e);
 }
 
-/* For every definition DEF in the SCOP that is used outside the scop,
-   insert a closing-scop definition in the basic block just after this
-   SCOP.  */
-
-static void
-handle_scalar_deps_crossing_scop_limits (scop_p scop, tree def, gimple stmt)
-{
-  tree var = create_tmp_reg (TREE_TYPE (def), NULL);
-  tree new_name = make_ssa_name (var, stmt);
-  bool needs_copy = false;
-  use_operand_p use_p;
-  imm_use_iterator imm_iter;
-  gimple use_stmt;
-  sese region = SCOP_REGION (scop);
-
-  FOR_EACH_IMM_USE_STMT (use_stmt, imm_iter, def)
-    {
-      if (!bb_in_sese_p (gimple_bb (use_stmt), region))
-	{
-	  FOR_EACH_IMM_USE_ON_STMT (use_p, imm_iter)
-	    {
-	      SET_USE (use_p, new_name);
-	    }
-	  update_stmt (use_stmt);
-	  needs_copy = true;
-	}
-    }
-
-  /* Insert in the empty BB just after the scop a use of DEF such
-     that the rewrite of cross_bb_scalar_dependences won't insert
-     arrays everywhere else.  */
-  if (needs_copy)
-    {
-      gimple assign = gimple_build_assign (new_name, def);
-      gimple_stmt_iterator psi = gsi_after_labels (SESE_EXIT (region)->dest);
-
-      add_referenced_var (var);
-      SSA_NAME_DEF_STMT (new_name) = assign;
-      update_stmt (assign);
-      gsi_insert_before (&psi, assign, GSI_SAME_STMT);
-    }
-}
-
-/* Rewrite the scalar dependences crossing the boundary of the BB
-   containing STMT with an array.  Return true when something has been
-   changed.  */
+/* Return true when loop A is nested in loop B.  */
 
 static bool
-rewrite_cross_bb_scalar_deps (scop_p scop, gimple_stmt_iterator *gsi)
+nested_in (loop_p a, loop_p b)
 {
-  sese region = SCOP_REGION (scop);
-  gimple stmt = gsi_stmt (*gsi);
-  imm_use_iterator imm_iter;
-  tree def;
-  basic_block def_bb;
-  tree zero_dim_array = NULL_TREE;
-  gimple use_stmt;
-  bool res = false;
-
-  switch (gimple_code (stmt))
-    {
-    case GIMPLE_ASSIGN:
-      def = gimple_assign_lhs (stmt);
-      break;
-
-    case GIMPLE_CALL:
-      def = gimple_call_lhs (stmt);
-      break;
-
-    default:
-      return false;
-    }
-
-  if (!def
-      || !is_gimple_reg (def))
-    return false;
-
-  if (scev_analyzable_p (def, region))
-    {
-      loop_p loop = loop_containing_stmt (SSA_NAME_DEF_STMT (def));
-      tree scev = scalar_evolution_in_region (region, loop, def);
-
-      if (tree_contains_chrecs (scev, NULL))
-	return false;
+  return b == find_common_loop (a, b);
+}
 
-      propagate_expr_outside_region (def, scev, region);
-      return true;
-    }
-
-  def_bb = gimple_bb (stmt);
-
-  handle_scalar_deps_crossing_scop_limits (scop, def, stmt);
-
-  FOR_EACH_IMM_USE_STMT (use_stmt, imm_iter, def)
-    if (gimple_code (use_stmt) == GIMPLE_PHI
-	&& (res = true))
-      {
-	gimple_stmt_iterator psi = gsi_for_stmt (use_stmt);
-
-	if (scalar_close_phi_node_p (gsi_stmt (psi)))
-	  rewrite_close_phi_out_of_ssa (scop, &psi);
-	else
-	  rewrite_phi_out_of_ssa (scop, &psi);
-      }
-
-  FOR_EACH_IMM_USE_STMT (use_stmt, imm_iter, def)
-    if (gimple_code (use_stmt) != GIMPLE_PHI
-	&& def_bb != gimple_bb (use_stmt)
-	&& !is_gimple_debug (use_stmt)
-	&& (res = true))
-      {
-	if (!zero_dim_array)
-	  {
-	    zero_dim_array = create_zero_dim_array
-	      (SSA_NAME_VAR (def), "Cross_BB_scalar_dependence");
-	    insert_out_of_ssa_copy (scop, zero_dim_array, def,
-				    SSA_NAME_DEF_STMT (def));
-	    gsi_next (gsi);
-	  }
-
-	rewrite_cross_bb_scalar_dependence (scop, zero_dim_array,
-					    def, use_stmt);
-      }
-
-  return res;
+/* Return the loop at a specific SCOP->pbbs[*INDEX].  */
+static loop_p
+loop_at (scop_p scop, int *index)
+{
+  return pbb_loop (scop->pbbs[*index]);
 }
 
-/* Rewrite out of SSA all the reduction phi nodes of SCOP.  */
-
-static void
-rewrite_cross_bb_scalar_deps_out_of_ssa (scop_p scop)
-{
-  basic_block bb;
-  gimple_stmt_iterator psi;
-  sese region = SCOP_REGION (scop);
-  bool changed = false;
-
-  /* Create an extra empty BB after the scop.  */
-  split_edge (SESE_EXIT (region));
+/* Return the index of any pbb belonging to loop or a subloop of A.  */
 
-  FOR_EACH_BB (bb)
-    if (bb_in_sese_p (bb, region))
-      for (psi = gsi_start_bb (bb); !gsi_end_p (psi); gsi_next (&psi))
-	changed |= rewrite_cross_bb_scalar_deps (scop, &psi);
-
-  if (changed)
-    {
-      scev_reset_htab ();
-      update_ssa (TODO_update_ssa);
-#ifdef ENABLE_CHECKING
-      verify_loop_closed_ssa (true);
-#endif
-    }
+static int
+index_outermost_in_loop (loop_p a, scop_p scop)
+{
+  int i, outermost = -1;
+  int last_depth = -1;
+  poly_bb_p pbb;
+  FOR_EACH_VEC_ELT (scop->pbbs, i, pbb)
+    if (nested_in (pbb_loop (pbb), a)
+	&& (last_depth == -1
+	    || last_depth > (int) loop_depth (pbb_loop (pbb))))
+      {
+	outermost = i;
+	last_depth = loop_depth (pbb_loop (pbb));
+      }
+  return outermost;
 }
 
-/* Returns the number of pbbs that are in loops contained in SCOP.  */
+/* Return the index of any pbb belonging to loop or a subloop of A.  */
 
 static int
-nb_pbbs_in_loops (scop_p scop)
+index_pbb_in_loop (loop_p a, scop_p scop)
 {
   int i;
   poly_bb_p pbb;
-  int res = 0;
-
-  FOR_EACH_VEC_ELT (poly_bb_p, SCOP_BBS (scop), i, pbb)
-    if (loop_in_sese_p (gbb_loop (PBB_BLACK_BOX (pbb)), SCOP_REGION (scop)))
-      res++;
-
-  return res;
-}
-
-/* Return the number of data references in BB that write in
-   memory.  */
-
-static int
-nb_data_writes_in_bb (basic_block bb)
-{
-  int res = 0;
-  gimple_stmt_iterator gsi;
-
-  for (gsi = gsi_start_bb (bb); !gsi_end_p (gsi); gsi_next (&gsi))
-    if (gimple_vdef (gsi_stmt (gsi)))
-      res++;
-
-  return res;
-}
-
-/* Splits at STMT the basic block BB represented as PBB in the
-   polyhedral form.  */
-
-static edge
-split_pbb (scop_p scop, poly_bb_p pbb, basic_block bb, gimple stmt)
-{
-  edge e1 = split_block (bb, stmt);
-  new_pbb_from_pbb (scop, pbb, e1->dest);
-  return e1;
+  FOR_EACH_VEC_ELT (scop->pbbs, i, pbb)
+    if (pbb_loop (pbb) == a)
+      return i;
+  return -1;
 }
 
-/* Splits STMT out of its current BB.  This is done for reduction
-   statements for which we want to ignore data dependences.  */
-
-static basic_block
-split_reduction_stmt (scop_p scop, gimple stmt)
+static poly_bb_p
+outermost_pbb_in (loop_p loop, scop_p scop)
 {
-  basic_block bb = gimple_bb (stmt);
-  poly_bb_p pbb = pbb_from_bb (bb);
-  gimple_bb_p gbb = gbb_from_bb (bb);
-  edge e1;
-  int i;
-  data_reference_p dr;
-
-  /* Do not split basic blocks with no writes to memory: the reduction
-     will be the only write to memory.  */
-  if (nb_data_writes_in_bb (bb) == 0
-      /* Or if we have already marked BB as a reduction.  */
-      || PBB_IS_REDUCTION (pbb_from_bb (bb)))
-    return bb;
-
-  e1 = split_pbb (scop, pbb, bb, stmt);
-
-  /* Split once more only when the reduction stmt is not the only one
-     left in the original BB.  */
-  if (!gsi_one_before_end_p (gsi_start_nondebug_bb (bb)))
-    {
-      gimple_stmt_iterator gsi = gsi_last_bb (bb);
-      gsi_prev (&gsi);
-      e1 = split_pbb (scop, pbb, bb, gsi_stmt (gsi));
-    }
-
-  /* A part of the data references will end in a different basic block
-     after the split: move the DRs from the original GBB to the newly
-     created GBB1.  */
-  FOR_EACH_VEC_ELT (data_reference_p, GBB_DATA_REFS (gbb), i, dr)
-    {
-      basic_block bb1 = gimple_bb (DR_STMT (dr));
-
-      if (bb1 != bb)
-	{
-	  gimple_bb_p gbb1 = gbb_from_bb (bb1);
-	  VEC_safe_push (data_reference_p, heap, GBB_DATA_REFS (gbb1), dr);
-	  VEC_ordered_remove (data_reference_p, GBB_DATA_REFS (gbb), i);
-	  i--;
-	}
-    }
-
-  return e1->dest;
+  int x = index_pbb_in_loop (loop, scop);
+  if (x == -1)
+    x = index_outermost_in_loop (loop, scop);
+  return scop->pbbs[x];
 }
 
-/* Return true when stmt is a reduction operation.  */
-
-static inline bool
-is_reduction_operation_p (gimple stmt)
+static isl_schedule *
+add_in_sequence (__isl_take isl_schedule *a, __isl_take isl_schedule *b)
 {
-  enum tree_code code;
-
-  gcc_assert (is_gimple_assign (stmt));
-  code = gimple_assign_rhs_code (stmt);
+  gcc_assert (a || b);
 
-  return flag_associative_math
-    && commutative_tree_code (code)
-    && associative_tree_code (code);
-}
-
-/* Returns true when PHI contains an argument ARG.  */
+  if (!a)
+    return b;
 
-static bool
-phi_contains_arg (gimple phi, tree arg)
-{
-  size_t i;
+  if (!b)
+    return a;
 
-  for (i = 0; i < gimple_phi_num_args (phi); i++)
-    if (operand_equal_p (arg, gimple_phi_arg_def (phi, i), 0))
-      return true;
-
-  return false;
+  return isl_schedule_sequence (a, b);
 }
 
-/* Return a loop phi node that corresponds to a reduction containing LHS.  */
-
-static gimple
-follow_ssa_with_commutative_ops (tree arg, tree lhs)
-{
-  gimple stmt;
-
-  if (TREE_CODE (arg) != SSA_NAME)
-    return NULL;
-
-  stmt = SSA_NAME_DEF_STMT (arg);
+struct map_to_dimension_data {
+  int n;
+  isl_union_pw_multi_aff *res;
+};
 
-  if (gimple_code (stmt) == GIMPLE_NOP
-      || gimple_code (stmt) == GIMPLE_CALL)
-    return NULL;
-
-  if (gimple_code (stmt) == GIMPLE_PHI)
-    {
-      if (phi_contains_arg (stmt, lhs))
-	return stmt;
-      return NULL;
-    }
-
-  if (!is_gimple_assign (stmt))
-    return NULL;
+/* Create a function that maps the elements of SET to its N-th dimension and add
+   it to USER->res.  */
 
-  if (gimple_num_ops (stmt) == 2)
-    return follow_ssa_with_commutative_ops (gimple_assign_rhs1 (stmt), lhs);
-
-  if (is_reduction_operation_p (stmt))
-    {
-      gimple res = follow_ssa_with_commutative_ops (gimple_assign_rhs1 (stmt), lhs);
-
-      return res ? res :
-	follow_ssa_with_commutative_ops (gimple_assign_rhs2 (stmt), lhs);
-    }
-
-  return NULL;
-}
+static isl_stat
+add_outer_projection (__isl_take isl_set *set, void *user)
+{
+  struct map_to_dimension_data *data = (struct map_to_dimension_data *) user;
+  int dim = isl_set_dim (set, isl_dim_set);
+  isl_space *space = isl_set_get_space (set);
 
-/* Detect commutative and associative scalar reductions starting at
-   the STMT.  Return the phi node of the reduction cycle, or NULL.  */
+  gcc_assert (dim >= data->n);
+  isl_pw_multi_aff *pma
+    = isl_pw_multi_aff_project_out_map (space, isl_dim_set, data->n,
+					dim - data->n);
+  data->res = isl_union_pw_multi_aff_add_pw_multi_aff (data->res, pma);
 
-static gimple
-detect_commutative_reduction_arg (tree lhs, gimple stmt, tree arg,
-				  VEC (gimple, heap) **in,
-				  VEC (gimple, heap) **out)
-{
-  gimple phi = follow_ssa_with_commutative_ops (arg, lhs);
-
-  if (!phi)
-    return NULL;
-
-  VEC_safe_push (gimple, heap, *in, stmt);
-  VEC_safe_push (gimple, heap, *out, stmt);
-  return phi;
+  isl_set_free (set);
+  return isl_stat_ok;
 }
 
-/* Detect commutative and associative scalar reductions starting at
-   STMT.  Return the phi node of the reduction cycle, or NULL.  */
-
-static gimple
-detect_commutative_reduction_assign (gimple stmt, VEC (gimple, heap) **in,
-				     VEC (gimple, heap) **out)
-{
-  tree lhs = gimple_assign_lhs (stmt);
-
-  if (gimple_num_ops (stmt) == 2)
-    return detect_commutative_reduction_arg (lhs, stmt,
-					     gimple_assign_rhs1 (stmt),
-					     in, out);
+/* Return SET in which all inner dimensions above N are removed.  */
 
-  if (is_reduction_operation_p (stmt))
-    {
-      gimple res = detect_commutative_reduction_arg (lhs, stmt,
-						     gimple_assign_rhs1 (stmt),
-						     in, out);
-      return res ? res
-	: detect_commutative_reduction_arg (lhs, stmt,
-					    gimple_assign_rhs2 (stmt),
-					    in, out);
-    }
-
-  return NULL;
-}
-
-/* Return a loop phi node that corresponds to a reduction containing LHS.  */
-
-static gimple
-follow_inital_value_to_phi (tree arg, tree lhs)
+static isl_multi_union_pw_aff *
+outer_projection_mupa (__isl_take isl_union_set *set, int n)
 {
-  gimple stmt;
-
-  if (!arg || TREE_CODE (arg) != SSA_NAME)
-    return NULL;
-
-  stmt = SSA_NAME_DEF_STMT (arg);
+  gcc_assert (n >= 0);
+  gcc_assert (set);
+  gcc_assert (!isl_union_set_is_empty (set));
 
-  if (gimple_code (stmt) == GIMPLE_PHI
-      && phi_contains_arg (stmt, lhs))
-    return stmt;
-
-  return NULL;
-}
-
+  isl_space *space = isl_union_set_get_space (set);
+  isl_union_pw_multi_aff *pwaff = isl_union_pw_multi_aff_empty (space);
 
-/* Return the argument of the loop PHI that is the inital value coming
-   from outside the loop.  */
-
-static edge
-edge_initial_value_for_loop_phi (gimple phi)
-{
-  size_t i;
+  struct map_to_dimension_data data = {n, pwaff};
 
-  for (i = 0; i < gimple_phi_num_args (phi); i++)
-    {
-      edge e = gimple_phi_arg_edge (phi, i);
+  if (isl_union_set_foreach_set (set, &add_outer_projection, &data) < 0)
+    data.res = isl_union_pw_multi_aff_free (data.res);
 
-      if (loop_depth (e->src->loop_father)
-	  < loop_depth (e->dest->loop_father))
-	return e;
-    }
-
-  return NULL;
+  isl_union_set_free (set);
+  return isl_multi_union_pw_aff_from_union_pw_multi_aff (data.res);
 }
 
-/* Return the argument of the loop PHI that is the inital value coming
-   from outside the loop.  */
+/* Embed SCHEDULE in the constraints of the LOOP domain.  */
 
-static tree
-initial_value_for_loop_phi (gimple phi)
+static isl_schedule *
+add_loop_schedule (__isl_take isl_schedule *schedule, loop_p loop,
+		   scop_p scop)
 {
-  size_t i;
+  poly_bb_p pbb = outermost_pbb_in (loop, scop);
+  isl_set *iterators = pbb->iterators;
 
-  for (i = 0; i < gimple_phi_num_args (phi); i++)
-    {
-      edge e = gimple_phi_arg_edge (phi, i);
+  int empty = isl_set_is_empty (iterators);
+  if (empty < 0 || empty)
+    return empty < 0 ? isl_schedule_free (schedule) : schedule;
 
-      if (loop_depth (e->src->loop_father)
-	  < loop_depth (e->dest->loop_father))
-	return gimple_phi_arg_def (phi, i);
+  isl_union_set *domain = isl_schedule_get_domain (schedule);
+  /* We cannot apply an empty domain to pbbs in this loop so return early.  */
+  if (isl_union_set_is_empty (domain))
+    {
+      isl_union_set_free (domain);
+      return schedule;
     }
 
-  return NULL_TREE;
-}
-
-/* Returns true when DEF is used outside the reduction cycle of
-   LOOP_PHI.  */
+  isl_space *space = isl_set_get_space (iterators);
+  int loop_index = isl_space_dim (space, isl_dim_set) - 1;
 
-static bool
-used_outside_reduction (tree def, gimple loop_phi)
-{
-  use_operand_p use_p;
-  imm_use_iterator imm_iter;
-  loop_p loop = loop_containing_stmt (loop_phi);
-
-  /* In LOOP, DEF should be used only in LOOP_PHI.  */
-  FOR_EACH_IMM_USE_FAST (use_p, imm_iter, def)
+  loop_p ploop = pbb_loop (pbb);
+  while (loop != ploop)
     {
-      gimple stmt = USE_STMT (use_p);
-
-      if (stmt != loop_phi
-	  && !is_gimple_debug (stmt)
-	  && flow_bb_inside_loop_p (loop, gimple_bb (stmt)))
-	return true;
+      --loop_index;
+      ploop = loop_outer (ploop);
     }
 
-  return false;
+  isl_local_space *ls = isl_local_space_from_space (space);
+  isl_aff *aff = isl_aff_var_on_domain (ls, isl_dim_set, loop_index);
+  isl_multi_aff *prefix = isl_multi_aff_from_aff (aff);
+  char name[50];
+  snprintf (name, sizeof(name), "L_%d", loop->num);
+  isl_id *label = isl_id_alloc (isl_schedule_get_ctx (schedule),
+				name, NULL);
+  prefix = isl_multi_aff_set_tuple_id (prefix, isl_dim_out, label);
+
+  int n = isl_multi_aff_dim (prefix, isl_dim_in);
+  isl_multi_union_pw_aff *mupa = outer_projection_mupa (domain, n);
+  mupa = isl_multi_union_pw_aff_apply_multi_aff (mupa, prefix);
+  return isl_schedule_insert_partial_schedule (schedule, mupa);
 }
 
-/* Detect commutative and associative scalar reductions belonging to
-   the SCOP starting at the loop closed phi node STMT.  Return the phi
-   node of the reduction cycle, or NULL.  */
-
-static gimple
-detect_commutative_reduction (scop_p scop, gimple stmt, VEC (gimple, heap) **in,
-			      VEC (gimple, heap) **out)
-{
-  if (scalar_close_phi_node_p (stmt))
-    {
-      gimple def, loop_phi, phi, close_phi = stmt;
-      tree init, lhs, arg = gimple_phi_arg_def (close_phi, 0);
-
-      if (TREE_CODE (arg) != SSA_NAME)
-	return NULL;
-
-      /* Note that loop close phi nodes should have a single argument
-	 because we translated the representation into a canonical form
-	 before Graphite: see canonicalize_loop_closed_ssa_form.  */
-      gcc_assert (gimple_phi_num_args (close_phi) == 1);
+/* Build schedule for the pbb at INDEX.  */
 
-      def = SSA_NAME_DEF_STMT (arg);
-      if (!stmt_in_sese_p (def, SCOP_REGION (scop))
-	  || !(loop_phi = detect_commutative_reduction (scop, def, in, out)))
-	return NULL;
-
-      lhs = gimple_phi_result (close_phi);
-      init = initial_value_for_loop_phi (loop_phi);
-      phi = follow_inital_value_to_phi (init, lhs);
-
-      if (phi && (used_outside_reduction (lhs, phi)
-		  || !has_single_use (gimple_phi_result (phi))))
-	return NULL;
-
-      VEC_safe_push (gimple, heap, *in, loop_phi);
-      VEC_safe_push (gimple, heap, *out, close_phi);
-      return phi;
-    }
-
-  if (gimple_code (stmt) == GIMPLE_ASSIGN)
-    return detect_commutative_reduction_assign (stmt, in, out);
-
-  return NULL;
+static isl_schedule *
+build_schedule_pbb (scop_p scop, int *index)
+{
+  poly_bb_p pbb = scop->pbbs[*index];
+  ++*index;
+  isl_set *domain = isl_set_copy (pbb->domain);
+  isl_union_set *ud = isl_union_set_from_set (domain);
+  return isl_schedule_from_domain (ud);
 }
 
-/* Translate the scalar reduction statement STMT to an array RED
-   knowing that its recursive phi node is LOOP_PHI.  */
+static isl_schedule *build_schedule_loop_nest (scop_p, int *, loop_p);
 
-static void
-translate_scalar_reduction_to_array_for_stmt (scop_p scop, tree red,
-					      gimple stmt, gimple loop_phi)
-{
-  tree res = gimple_phi_result (loop_phi);
-  gimple assign = gimple_build_assign (res, unshare_expr (red));
-  gimple_stmt_iterator gsi;
+/* Build the schedule of the loop containing the SCOP pbb at INDEX.  */
 
-  insert_stmts (scop, assign, NULL, gsi_after_labels (gimple_bb (loop_phi)));
-
-  assign = gimple_build_assign (unshare_expr (red), gimple_assign_lhs (stmt));
-  gsi = gsi_for_stmt (stmt);
-  gsi_next (&gsi);
-  insert_stmts (scop, assign, NULL, gsi);
-}
-
-/* Removes the PHI node and resets all the debug stmts that are using
-   the PHI_RESULT.  */
+static isl_schedule *
+build_schedule_loop (scop_p scop, int *index)
+{
+  int max = scop->pbbs.length ();
+  gcc_assert (*index < max);
+  loop_p loop = loop_at (scop, index);
 
-static void
-remove_phi (gimple phi)
-{
-  imm_use_iterator imm_iter;
-  tree def;
-  use_operand_p use_p;
-  gimple_stmt_iterator gsi;
-  VEC (gimple, heap) *update = VEC_alloc (gimple, heap, 3);
-  unsigned int i;
-  gimple stmt;
+  isl_schedule *s = NULL;
+  while (nested_in (loop_at (scop, index), loop))
+    {
+      if (loop == loop_at (scop, index))
+	s = add_in_sequence (s, build_schedule_pbb (scop, index));
+      else
+	s = add_in_sequence (s, build_schedule_loop_nest (scop, index, loop));
 
-  def = PHI_RESULT (phi);
-  FOR_EACH_IMM_USE_FAST (use_p, imm_iter, def)
-    {
-      stmt = USE_STMT (use_p);
-
-      if (is_gimple_debug (stmt))
-	{
-	  gimple_debug_bind_reset_value (stmt);
-	  VEC_safe_push (gimple, heap, update, stmt);
-	}
+      if (*index == max)
+	break;
     }
 
-  FOR_EACH_VEC_ELT (gimple, update, i, stmt)
-    update_stmt (stmt);
-
-  VEC_free (gimple, heap, update);
-
-  gsi = gsi_for_phi_node (phi);
-  remove_phi_node (&gsi, false);
-}
-
-/* Helper function for for_each_index.  For each INDEX of the data
-   reference REF, returns true when its indices are valid in the loop
-   nest LOOP passed in as DATA.  */
-
-static bool
-dr_indices_valid_in_loop (tree ref ATTRIBUTE_UNUSED, tree *index, void *data)
-{
-  loop_p loop;
-  basic_block header, def_bb;
-  gimple stmt;
-
-  if (TREE_CODE (*index) != SSA_NAME)
-    return true;
-
-  loop = *((loop_p *) data);
-  header = loop->header;
-  stmt = SSA_NAME_DEF_STMT (*index);
-
-  if (!stmt)
-    return true;
-
-  def_bb = gimple_bb (stmt);
-
-  if (!def_bb)
-    return true;
-
-  return dominated_by_p (CDI_DOMINATORS, header, def_bb);
+  return add_loop_schedule (s, loop, scop);
 }
 
-/* When the result of a CLOSE_PHI is written to a memory location,
-   return a pointer to that memory reference, otherwise return
-   NULL_TREE.  */
+/* S is the schedule of the loop LOOP.  Embed the schedule S in all outer loops.
+   When CONTEXT_LOOP is null, embed the schedule in all loops contained in the
+   SCOP surrounding LOOP.  When CONTEXT_LOOP is non null, only embed S in the
+   maximal loop nest contained within CONTEXT_LOOP.  */
 
-static tree
-close_phi_written_to_memory (gimple close_phi)
+static isl_schedule *
+embed_in_surrounding_loops (__isl_take isl_schedule *s, scop_p scop,
+			    loop_p loop, int *index, loop_p context_loop)
 {
-  imm_use_iterator imm_iter;
-  use_operand_p use_p;
-  gimple stmt;
-  tree res, def = gimple_phi_result (close_phi);
+  loop_p outer = loop_outer (loop);
+  sese_l region = scop->scop_info->region;
+  if (context_loop == outer
+      || !loop_in_sese_p (outer, region))
+    return s;
 
-  FOR_EACH_IMM_USE_FAST (use_p, imm_iter, def)
-    if ((stmt = USE_STMT (use_p))
-	&& gimple_code (stmt) == GIMPLE_ASSIGN
-	&& (res = gimple_assign_lhs (stmt)))
-      {
-	switch (TREE_CODE (res))
-	  {
-	  case VAR_DECL:
-	  case PARM_DECL:
-	  case RESULT_DECL:
-	    return res;
+  int max = scop->pbbs.length ();
+  if (*index == max
+      || (context_loop && !nested_in (loop_at (scop, index), context_loop))
+      || (!context_loop
+	  && !loop_in_sese_p (find_common_loop (outer, loop_at (scop, index)),
+			      region)))
+    return embed_in_surrounding_loops (add_loop_schedule (s, outer, scop),
+				       scop, outer, index, context_loop);
 
-	  case ARRAY_REF:
-	  case MEM_REF:
-	    {
-	      tree arg = gimple_phi_arg_def (close_phi, 0);
-	      loop_p nest = loop_containing_stmt (SSA_NAME_DEF_STMT (arg));
+  bool a_pbb;
+  while ((a_pbb = (outer == loop_at (scop, index)))
+	 || nested_in (loop_at (scop, index), outer))
+    {
+      if (a_pbb)
+	s = add_in_sequence (s, build_schedule_pbb (scop, index));
+      else
+	s = add_in_sequence (s, build_schedule_loop (scop, index));
 
-	      /* FIXME: this restriction is for id-{24,25}.f and
-		 could be handled by duplicating the computation of
-		 array indices before the loop of the close_phi.  */
-	      if (for_each_index (&res, dr_indices_valid_in_loop, &nest))
-		return res;
-	    }
-	    /* Fallthru.  */
+      if (*index == max)
+	break;
+    }
 
-	  default:
-	    continue;
-	  }
-      }
-  return NULL_TREE;
+  /* We reached the end of the OUTER loop: embed S in OUTER.  */
+  return embed_in_surrounding_loops (add_loop_schedule (s, outer, scop), scop,
+				     outer, index, context_loop);
 }
 
-/* Rewrite out of SSA the reduction described by the loop phi nodes
-   IN, and the close phi nodes OUT.  IN and OUT are structured by loop
-   levels like this:
+/* Build schedule for the full loop nest containing the pbb at INDEX.  When
+   CONTEXT_LOOP is null, build the schedule of all loops contained in the SCOP
+   surrounding the pbb.  When CONTEXT_LOOP is non null, only build the maximal loop
+   nest contained within CONTEXT_LOOP.  */
 
-   IN: stmt, loop_n, ..., loop_0
-   OUT: stmt, close_n, ..., close_0
+static isl_schedule *
+build_schedule_loop_nest (scop_p scop, int *index, loop_p context_loop)
+{
+  gcc_assert (*index != (int) scop->pbbs.length ());
 
-   the first element is the reduction statement, and the next elements
-   are the loop and close phi nodes of each of the outer loops.  */
+  loop_p loop = loop_at (scop, index);
+  isl_schedule *s = build_schedule_loop (scop, index);
+  return embed_in_surrounding_loops (s, scop, loop, index, context_loop);
+}
+
+/* Build the schedule of the SCOP.  */
 
 static void
-translate_scalar_reduction_to_array (scop_p scop,
-				     VEC (gimple, heap) *in,
-				     VEC (gimple, heap) *out)
+build_original_schedule (scop_p scop)
 {
-  gimple loop_phi;
-  unsigned int i = VEC_length (gimple, out) - 1;
-  tree red = close_phi_written_to_memory (VEC_index (gimple, out, i));
-
-  FOR_EACH_VEC_ELT (gimple, in, i, loop_phi)
+  int i = 0;
+  int n = scop->pbbs.length ();
+  while (i < n)
     {
-      gimple close_phi = VEC_index (gimple, out, i);
-
-      if (i == 0)
-	{
-	  gimple stmt = loop_phi;
-	  basic_block bb = split_reduction_stmt (scop, stmt);
-	  poly_bb_p pbb = pbb_from_bb (bb);
-	  PBB_IS_REDUCTION (pbb) = true;
-	  gcc_assert (close_phi == loop_phi);
+      poly_bb_p pbb = scop->pbbs[i];
+      isl_schedule *s = NULL;
+      if (!loop_in_sese_p (pbb_loop (pbb), scop->scop_info->region))
+	s = build_schedule_pbb (scop, &i);
+      else
+	s = build_schedule_loop_nest (scop, &i, NULL);
 
-	  if (!red)
-	    red = create_zero_dim_array
-	      (gimple_assign_lhs (stmt), "Commutative_Associative_Reduction");
-
-	  translate_scalar_reduction_to_array_for_stmt
-	    (scop, red, stmt, VEC_index (gimple, in, 1));
-	  continue;
-	}
+      scop->original_schedule = add_in_sequence (scop->original_schedule, s);
+    }
 
-      if (i == VEC_length (gimple, in) - 1)
-	{
-	  insert_out_of_ssa_copy (scop, gimple_phi_result (close_phi),
-				  unshare_expr (red), close_phi);
-	  insert_out_of_ssa_copy_on_edge
-	    (scop, edge_initial_value_for_loop_phi (loop_phi),
-	     unshare_expr (red), initial_value_for_loop_phi (loop_phi));
-	}
-
-      remove_phi (loop_phi);
-      remove_phi (close_phi);
+  if (dump_file)
+    {
+      fprintf (dump_file, "[sese-to-poly] original schedule:\n");
+      print_isl_schedule (dump_file, scop->original_schedule);
     }
 }
 
-/* Rewrites out of SSA a commutative reduction at CLOSE_PHI.  Returns
-   true when something has been changed.  */
-
-static bool
-rewrite_commutative_reductions_out_of_ssa_close_phi (scop_p scop,
-						     gimple close_phi)
-{
-  bool res;
-  VEC (gimple, heap) *in = VEC_alloc (gimple, heap, 10);
-  VEC (gimple, heap) *out = VEC_alloc (gimple, heap, 10);
-
-  detect_commutative_reduction (scop, close_phi, &in, &out);
-  res = VEC_length (gimple, in) > 1;
-  if (res)
-    translate_scalar_reduction_to_array (scop, in, out);
-
-  VEC_free (gimple, heap, in);
-  VEC_free (gimple, heap, out);
-  return res;
-}
-
-/* Rewrites all the commutative reductions from LOOP out of SSA.
-   Returns true when something has been changed.  */
-
-static bool
-rewrite_commutative_reductions_out_of_ssa_loop (scop_p scop,
-						loop_p loop)
-{
-  gimple_stmt_iterator gsi;
-  edge exit = single_exit (loop);
-  tree res;
-  bool changed = false;
-
-  if (!exit)
-    return false;
-
-  for (gsi = gsi_start_phis (exit->dest); !gsi_end_p (gsi); gsi_next (&gsi))
-    if ((res = gimple_phi_result (gsi_stmt (gsi)))
-	&& is_gimple_reg (res)
-	&& !scev_analyzable_p (res, SCOP_REGION (scop)))
-      changed |= rewrite_commutative_reductions_out_of_ssa_close_phi
-	(scop, gsi_stmt (gsi));
-
-  return changed;
-}
-
-/* Rewrites all the commutative reductions from SCOP out of SSA.  */
-
-static void
-rewrite_commutative_reductions_out_of_ssa (scop_p scop)
-{
-  loop_iterator li;
-  loop_p loop;
-  bool changed = false;
-  sese region = SCOP_REGION (scop);
-
-  FOR_EACH_LOOP (li, loop, 0)
-    if (loop_in_sese_p (loop, region))
-      changed |= rewrite_commutative_reductions_out_of_ssa_loop (scop, loop);
-
-  if (changed)
-    {
-      scev_reset_htab ();
-      gsi_commit_edge_inserts ();
-      update_ssa (TODO_update_ssa);
-#ifdef ENABLE_CHECKING
-      verify_loop_closed_ssa (true);
-#endif
-    }
-}
-
-/* Java does not initialize long_long_integer_type_node.  */
-#define my_long_long (long_long_integer_type_node ? long_long_integer_type_node : ssizetype)
-
-/* Can all ivs be represented by a signed integer?
-   As CLooG might generate negative values in its expressions, signed loop ivs
-   are required in the backend. */
-
-static bool
-scop_ivs_can_be_represented (scop_p scop)
-{
-  loop_iterator li;
-  loop_p loop;
-  gimple_stmt_iterator psi;
-
-  FOR_EACH_LOOP (li, loop, 0)
-    {
-      if (!loop_in_sese_p (loop, SCOP_REGION (scop)))
-	continue;
-
-      for (psi = gsi_start_phis (loop->header);
-	   !gsi_end_p (psi); gsi_next (&psi))
-	{
-	  gimple phi = gsi_stmt (psi);
-	  tree res = PHI_RESULT (phi);
-	  tree type = TREE_TYPE (res);
-
-	  if (TYPE_UNSIGNED (type)
-	      && TYPE_PRECISION (type) >= TYPE_PRECISION (my_long_long))
-	    return false;
-	}
-    }
-
-  return true;
-}
-
-#undef my_long_long
-
 /* Builds the polyhedral representation for a SESE region.  */
 
-void
+bool
 build_poly_scop (scop_p scop)
 {
-  sese region = SCOP_REGION (scop);
-  graphite_dim_t max_dim;
-
-  build_scop_bbs (scop);
+  int old_err = isl_options_get_on_error (scop->isl_context);
+  isl_options_set_on_error (scop->isl_context, ISL_ON_ERROR_CONTINUE);
 
-  /* FIXME: This restriction is needed to avoid a problem in CLooG.
-     Once CLooG is fixed, remove this guard.  Anyways, it makes no
-     sense to optimize a scop containing only PBBs that do not belong
-     to any loops.  */
-  if (nb_pbbs_in_loops (scop) == 0)
-    return;
-
-  if (!scop_ivs_can_be_represented (scop))
-    return;
-
-  if (flag_associative_math)
-    rewrite_commutative_reductions_out_of_ssa (scop);
+  build_scop_context (scop);
 
-  build_sese_loop_nests (region);
-  build_sese_conditions (region);
-  find_scop_parameters (scop);
-
-  max_dim = PARAM_VALUE (PARAM_GRAPHITE_MAX_NB_SCOP_PARAMS);
-  if (scop_nb_params (scop) > max_dim)
-    return;
-
-  build_scop_iteration_domain (scop);
-  build_scop_context (scop);
-  add_conditions_to_constraints (scop);
-
-  /* Rewrite out of SSA only after having translated the
-     representation to the polyhedral representation to avoid scev
-     analysis failures.  That means that these functions will insert
-     new data references that they create in the right place.  */
-  rewrite_reductions_out_of_ssa (scop);
-  rewrite_cross_bb_scalar_deps_out_of_ssa (scop);
+  unsigned i = 0;
+  unsigned n = scop->pbbs.length ();
+  while (i < n)
+    i = build_iteration_domains (scop, scop->param_context, i, NULL);
 
   build_scop_drs (scop);
-  scop_to_lst (scop);
-  build_scop_scattering (scop);
+  build_original_schedule (scop);
 
-  /* This SCoP has been translated to the polyhedral
-     representation.  */
-  POLY_SCOP_P (scop) = true;
+  enum isl_error err = isl_ctx_last_error (scop->isl_context);
+  isl_ctx_reset_error (scop->isl_context);
+  isl_options_set_on_error (scop->isl_context, old_err);
+  if (err != isl_error_none)
+    dump_printf (MSG_MISSED_OPTIMIZATION,
+		 "ISL error while building poly scop\n");
+
+  return err == isl_error_none;
 }
-#endif
+#endif  /* HAVE_isl */