diff gcc/graphite-poly.h @ 55:77e2b8dfacca gcc-4.4.5

update it from 4.4.3 to 4.5.0
author ryoma <e075725@ie.u-ryukyu.ac.jp>
date Fri, 12 Feb 2010 23:39:51 +0900
parents
children b7f97abdc517
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line diff
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/gcc/graphite-poly.h	Fri Feb 12 23:39:51 2010 +0900
@@ -0,0 +1,1456 @@
+/* Graphite polyhedral representation.
+   Copyright (C) 2009 Free Software Foundation, Inc.
+   Contributed by Sebastian Pop <sebastian.pop@amd.com> and
+   Tobias Grosser <grosser@fim.uni-passau.de>.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 3, or (at your option)
+any later version.
+
+GCC is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING3.  If not see
+<http://www.gnu.org/licenses/>.  */
+
+#ifndef GCC_GRAPHITE_POLY_H
+#define GCC_GRAPHITE_POLY_H
+
+typedef struct poly_dr *poly_dr_p;
+DEF_VEC_P(poly_dr_p);
+DEF_VEC_ALLOC_P (poly_dr_p, heap);
+
+typedef struct poly_bb *poly_bb_p;
+DEF_VEC_P(poly_bb_p);
+DEF_VEC_ALLOC_P (poly_bb_p, heap);
+
+typedef struct scop *scop_p;
+DEF_VEC_P(scop_p);
+DEF_VEC_ALLOC_P (scop_p, heap);
+
+typedef ppl_dimension_type graphite_dim_t;
+
+static inline graphite_dim_t pbb_dim_iter_domain (const struct poly_bb *);
+static inline graphite_dim_t pbb_nb_params (const struct poly_bb *);
+static inline graphite_dim_t scop_nb_params (scop_p);
+
+/* A data reference can write or read some memory or we
+   just know it may write some memory.  */
+enum poly_dr_type
+{
+  PDR_READ,
+  /* PDR_MAY_READs are represented using PDR_READS.  This does not
+     limit the expressiveness.  */
+  PDR_WRITE,
+  PDR_MAY_WRITE
+};
+
+struct poly_dr
+{
+  /* An identifier for this PDR.  */
+  int id;
+
+  /* The number of data refs identical to this one in the PBB.  */
+  int nb_refs;
+
+  /* A pointer to compiler's data reference description.  */
+  void *compiler_dr;
+
+  /* A pointer to the PBB that contains this data reference.  */
+  poly_bb_p pbb;
+
+  enum poly_dr_type type;
+
+  /* The access polyhedron contains the polyhedral space this data
+     reference will access.
+
+     The polyhedron contains these dimensions:
+
+     - The alias set (a):
+     Every memory access is classified in at least one alias set.
+
+     - The subscripts (s_0, ..., s_n):
+     The memory is accessed using zero or more subscript dimensions.
+
+     - The iteration domain (variables and parameters)
+
+     Do not hardcode the dimensions.  Use the following accessor functions:
+     - pdr_alias_set_dim
+     - pdr_subscript_dim
+     - pdr_iterator_dim
+     - pdr_parameter_dim
+
+     Example:
+
+     | int A[1335][123];
+     | int *p = malloc ();
+     |
+     | k = ...
+     | for i
+     |   {
+     |     if (unknown_function ())
+     |       p = A;
+     |       ... = p[?][?];
+     | 	   for j
+     |       A[i][j+k] = m;
+     |   }
+
+     The data access A[i][j+k] in alias set "5" is described like this:
+
+     | i   j   k   a  s0  s1   1
+     | 0   0   0   1   0   0  -5     =  0
+     |-1   0   0   0   1   0   0     =  0
+     | 0  -1  -1   0   0   1   0     =  0
+     | 0   0   0   0   1   0   0     >= 0  # The last four lines describe the
+     | 0   0   0   0   0   1   0     >= 0  # array size.
+     | 0   0   0   0  -1   0 1335    >= 0
+     | 0   0   0   0   0  -1 123     >= 0
+
+     The pointer "*p" in alias set "5" and "7" is described as a union of
+     polyhedron:
+
+
+     | i   k   a  s0   1
+     | 0   0   1   0  -5   =  0
+     | 0   0   0   1   0   >= 0
+
+     "or"
+
+     | i   k   a  s0   1
+     | 0   0   1   0  -7   =  0
+     | 0   0   0   1   0   >= 0
+
+     "*p" accesses all of the object allocated with 'malloc'.
+
+     The scalar data access "m" is represented as an array with zero subscript
+     dimensions.
+
+     | i   j   k   a   1
+     | 0   0   0  -1   15  = 0 */
+  ppl_Pointset_Powerset_C_Polyhedron_t accesses;
+
+  /* Data reference's base object set number, we must assure 2 pdrs are in the
+     same base object set before dependency checking.  */
+  int dr_base_object_set;
+
+  /* The number of subscripts.  */
+  graphite_dim_t nb_subscripts;
+};
+
+#define PDR_ID(PDR) (PDR->id)
+#define PDR_NB_REFS(PDR) (PDR->nb_refs)
+#define PDR_CDR(PDR) (PDR->compiler_dr)
+#define PDR_PBB(PDR) (PDR->pbb)
+#define PDR_TYPE(PDR) (PDR->type)
+#define PDR_ACCESSES(PDR) (PDR->accesses)
+#define PDR_BASE_OBJECT_SET(PDR) (PDR->dr_base_object_set)
+#define PDR_NB_SUBSCRIPTS(PDR) (PDR->nb_subscripts)
+
+void new_poly_dr (poly_bb_p, int, ppl_Pointset_Powerset_C_Polyhedron_t,
+		  enum poly_dr_type, void *, graphite_dim_t);
+void free_poly_dr (poly_dr_p);
+void debug_pdr (poly_dr_p);
+void print_pdr (FILE *, poly_dr_p);
+static inline scop_p pdr_scop (poly_dr_p pdr);
+
+/* The dimension of the PDR_ACCESSES polyhedron of PDR.  */
+
+static inline ppl_dimension_type
+pdr_dim (poly_dr_p pdr)
+{
+  ppl_dimension_type dim;
+  ppl_Pointset_Powerset_C_Polyhedron_space_dimension (PDR_ACCESSES (pdr),
+						      &dim);
+  return dim;
+}
+
+/* The dimension of the iteration domain of the scop of PDR.  */
+
+static inline ppl_dimension_type
+pdr_dim_iter_domain (poly_dr_p pdr)
+{
+  return pbb_dim_iter_domain (PDR_PBB (pdr));
+}
+
+/* The number of parameters of the scop of PDR.  */
+
+static inline ppl_dimension_type
+pdr_nb_params (poly_dr_p pdr)
+{
+  return scop_nb_params (pdr_scop (pdr));
+}
+
+/* The dimension of the alias set in PDR.  */
+
+static inline ppl_dimension_type
+pdr_alias_set_dim (poly_dr_p pdr)
+{
+  poly_bb_p pbb = PDR_PBB (pdr);
+
+  return pbb_dim_iter_domain (pbb) + pbb_nb_params (pbb);
+}
+
+/* The dimension in PDR containing subscript S.  */
+
+static inline ppl_dimension_type
+pdr_subscript_dim (poly_dr_p pdr, graphite_dim_t s)
+{
+  poly_bb_p pbb = PDR_PBB (pdr);
+
+  return pbb_dim_iter_domain (pbb) + pbb_nb_params (pbb) + 1 + s;
+}
+
+/* The dimension in PDR containing the loop iterator ITER.  */
+
+static inline ppl_dimension_type
+pdr_iterator_dim (poly_dr_p pdr ATTRIBUTE_UNUSED, graphite_dim_t iter)
+{
+  return iter;
+}
+
+/* The dimension in PDR containing parameter PARAM.  */
+
+static inline ppl_dimension_type
+pdr_parameter_dim (poly_dr_p pdr, graphite_dim_t param)
+{
+  poly_bb_p pbb = PDR_PBB (pdr);
+
+  return pbb_dim_iter_domain (pbb) + param;
+}
+
+/* Returns true when PDR is a "read".  */
+
+static inline bool
+pdr_read_p (poly_dr_p pdr)
+{
+  return PDR_TYPE (pdr) == PDR_READ;
+}
+
+/* Returns true when PDR is a "write".  */
+
+static inline bool
+pdr_write_p (poly_dr_p pdr)
+{
+  return PDR_TYPE (pdr) == PDR_WRITE;
+}
+
+/* Returns true when PDR is a "may write".  */
+
+static inline bool
+pdr_may_write_p (poly_dr_p pdr)
+{
+  return PDR_TYPE (pdr) == PDR_MAY_WRITE;
+}
+
+/* Return true when PDR1 and PDR2 are similar data accesses: they have
+   the same base array, and the same access functions.  */
+
+static inline bool
+same_pdr_p (poly_dr_p pdr1, poly_dr_p pdr2)
+{
+  return PDR_TYPE (pdr1) == PDR_TYPE (pdr2)
+    && PDR_NB_SUBSCRIPTS (pdr1) == PDR_NB_SUBSCRIPTS (pdr2)
+    && PDR_BASE_OBJECT_SET (pdr1) == PDR_BASE_OBJECT_SET (pdr2);
+}
+
+typedef struct poly_scattering *poly_scattering_p;
+
+struct poly_scattering
+{
+  /* The scattering function containing the transformations.  */
+  ppl_Polyhedron_t scattering;
+
+  /* The number of local variables.  */
+  int nb_local_variables;
+
+  /* The number of scattering dimensions.  */
+  int nb_scattering;
+};
+
+/* POLY_BB represents a blackbox in the polyhedral model.  */
+
+struct poly_bb
+{
+  void *black_box;
+
+  scop_p scop;
+
+  /* The iteration domain of this bb.
+     Example:
+
+     for (i = a - 7*b + 8; i <= 3*a + 13*b + 20; i++)
+       for (j = 2; j <= 2*i + 5; j++)
+         for (k = 0; k <= 5; k++)
+           S (i,j,k)
+
+     Loop iterators: i, j, k
+     Parameters: a, b
+
+     | i >=  a -  7b +  8
+     | i <= 3a + 13b + 20
+     | j >= 2
+     | j <= 2i + 5
+     | k >= 0
+     | k <= 5
+
+     The number of variables in the DOMAIN may change and is not
+     related to the number of loops in the original code.  */
+  ppl_Pointset_Powerset_C_Polyhedron_t domain;
+
+  /* The data references we access.  */
+  VEC (poly_dr_p, heap) *drs;
+
+  /* The original scattering.  */
+  poly_scattering_p original;
+
+  /* The transformed scattering.  */
+  poly_scattering_p transformed;
+
+  /* A copy of the transformed scattering.  */
+  poly_scattering_p saved;
+
+  /* True when the PDR duplicates have already been removed.  */
+  bool pdr_duplicates_removed;
+
+  /* True when this PBB contains only a reduction statement.  */
+  bool is_reduction;
+};
+
+#define PBB_BLACK_BOX(PBB) ((gimple_bb_p) PBB->black_box)
+#define PBB_SCOP(PBB) (PBB->scop)
+#define PBB_DOMAIN(PBB) (PBB->domain)
+#define PBB_DRS(PBB) (PBB->drs)
+#define PBB_ORIGINAL(PBB) (PBB->original)
+#define PBB_ORIGINAL_SCATTERING(PBB) (PBB->original->scattering)
+#define PBB_TRANSFORMED(PBB) (PBB->transformed)
+#define PBB_TRANSFORMED_SCATTERING(PBB) (PBB->transformed->scattering)
+#define PBB_SAVED(PBB) (PBB->saved)
+#define PBB_NB_LOCAL_VARIABLES(PBB) (PBB->transformed->nb_local_variables)
+#define PBB_NB_SCATTERING_TRANSFORM(PBB) (PBB->transformed->nb_scattering)
+#define PBB_PDR_DUPLICATES_REMOVED(PBB) (PBB->pdr_duplicates_removed)
+#define PBB_IS_REDUCTION(PBB) (PBB->is_reduction)
+
+extern void new_poly_bb (scop_p, void *, bool);
+extern void free_poly_bb (poly_bb_p);
+extern void debug_loop_vec (poly_bb_p);
+extern void schedule_to_scattering (poly_bb_p, int);
+extern void print_pbb_domain (FILE *, poly_bb_p);
+extern void print_pbb (FILE *, poly_bb_p);
+extern void print_scop_context (FILE *, scop_p);
+extern void print_scop (FILE *, scop_p);
+extern void debug_pbb_domain (poly_bb_p);
+extern void debug_pbb (poly_bb_p);
+extern void print_pdrs (FILE *, poly_bb_p);
+extern void debug_pdrs (poly_bb_p);
+extern void debug_scop_context (scop_p);
+extern void debug_scop (scop_p);
+extern void print_scop_params (FILE *, scop_p);
+extern void debug_scop_params (scop_p);
+extern void print_iteration_domain (FILE *, poly_bb_p);
+extern void print_iteration_domains (FILE *, scop_p);
+extern void debug_iteration_domain (poly_bb_p);
+extern void debug_iteration_domains (scop_p);
+extern bool scop_do_interchange (scop_p);
+extern bool scop_do_strip_mine (scop_p);
+extern bool scop_do_block (scop_p);
+extern void pbb_number_of_iterations (poly_bb_p, graphite_dim_t, Value);
+extern void pbb_number_of_iterations_at_time (poly_bb_p, graphite_dim_t, Value);
+extern void pbb_remove_duplicate_pdrs (poly_bb_p);
+
+/* Return the number of write data references in PBB.  */
+
+static inline int
+number_of_write_pdrs (poly_bb_p pbb)
+{
+  int res = 0;
+  int i;
+  poly_dr_p pdr;
+
+  for (i = 0; VEC_iterate (poly_dr_p, PBB_DRS (pbb), i, pdr); i++)
+    if (PDR_TYPE (pdr) == PDR_WRITE)
+      res++;
+
+  return res;
+}
+
+/* The index of the PBB.  */
+
+static inline int
+pbb_index (poly_bb_p pbb)
+{
+  return GBB_BB (PBB_BLACK_BOX (pbb))->index;
+}
+
+/* The loop of the PBB.  */
+
+static inline loop_p
+pbb_loop (poly_bb_p pbb)
+{
+  return gbb_loop (PBB_BLACK_BOX (pbb));
+}
+
+/* The scop that contains the PDR.  */
+
+static inline scop_p
+pdr_scop (poly_dr_p pdr)
+{
+  return PBB_SCOP (PDR_PBB (pdr));
+}
+
+/* Set black box of PBB to BLACKBOX.  */
+
+static inline void
+pbb_set_black_box (poly_bb_p pbb, void *black_box)
+{
+  pbb->black_box = black_box;
+}
+
+/* The number of loops around PBB: the dimension of the iteration
+   domain.  */
+
+static inline graphite_dim_t
+pbb_dim_iter_domain (const struct poly_bb *pbb)
+{
+  scop_p scop = PBB_SCOP (pbb);
+  ppl_dimension_type dim;
+
+  ppl_Pointset_Powerset_C_Polyhedron_space_dimension (PBB_DOMAIN (pbb), &dim);
+  return dim - scop_nb_params (scop);
+}
+
+/* The number of params defined in PBB.  */
+
+static inline graphite_dim_t
+pbb_nb_params (const struct poly_bb *pbb)
+{
+  scop_p scop = PBB_SCOP (pbb);
+
+  return scop_nb_params (scop);
+}
+
+/* The number of scattering dimensions in the SCATTERING polyhedron
+   of a PBB for a given SCOP.  */
+
+static inline graphite_dim_t
+pbb_nb_scattering_orig (const struct poly_bb *pbb)
+{
+  return 2 * pbb_dim_iter_domain (pbb) + 1;
+}
+
+/* The number of scattering dimensions in PBB.  */
+
+static inline graphite_dim_t
+pbb_nb_scattering_transform (const struct poly_bb *pbb)
+{
+  return PBB_NB_SCATTERING_TRANSFORM (pbb);
+}
+
+/* The number of dynamic scattering dimensions in PBB.  */
+
+static inline graphite_dim_t
+pbb_nb_dynamic_scattering_transform (const struct poly_bb *pbb)
+{
+  /* This function requires the 2d + 1 scattering format to be
+     invariant during all transformations.  */
+  gcc_assert (PBB_NB_SCATTERING_TRANSFORM (pbb) % 2);
+  return PBB_NB_SCATTERING_TRANSFORM (pbb) / 2;
+}
+
+/* Returns the number of local variables used in the transformed
+   scattering polyhedron of PBB.  */
+
+static inline graphite_dim_t
+pbb_nb_local_vars (const struct poly_bb *pbb)
+{
+  /* For now we do not have any local variables, as we do not do strip
+     mining for example.  */
+  return PBB_NB_LOCAL_VARIABLES (pbb);
+}
+
+/* The dimension in the domain of PBB containing the iterator ITER.  */
+
+static inline ppl_dimension_type
+pbb_iterator_dim (poly_bb_p pbb ATTRIBUTE_UNUSED, graphite_dim_t iter)
+{
+  return iter;
+}
+
+/* The dimension in the domain of PBB containing the iterator ITER.  */
+
+static inline ppl_dimension_type
+pbb_parameter_dim (poly_bb_p pbb, graphite_dim_t param)
+{
+  return param
+    + pbb_dim_iter_domain (pbb);
+}
+
+/* The dimension in the original scattering polyhedron of PBB
+   containing the scattering iterator SCATTER.  */
+
+static inline ppl_dimension_type
+psco_scattering_dim (poly_bb_p pbb ATTRIBUTE_UNUSED, graphite_dim_t scatter)
+{
+  gcc_assert (scatter < pbb_nb_scattering_orig (pbb));
+  return scatter;
+}
+
+/* The dimension in the transformed scattering polyhedron of PBB
+   containing the scattering iterator SCATTER.  */
+
+static inline ppl_dimension_type
+psct_scattering_dim (poly_bb_p pbb ATTRIBUTE_UNUSED, graphite_dim_t scatter)
+{
+  gcc_assert (scatter <= pbb_nb_scattering_transform (pbb));
+  return scatter;
+}
+
+ppl_dimension_type psct_scattering_dim_for_loop_depth (poly_bb_p,
+						       graphite_dim_t);
+
+/* The dimension in the transformed scattering polyhedron of PBB of
+   the local variable LV.  */
+
+static inline ppl_dimension_type
+psct_local_var_dim (poly_bb_p pbb, graphite_dim_t lv)
+{
+  gcc_assert (lv <= pbb_nb_local_vars (pbb));
+  return lv + pbb_nb_scattering_transform (pbb);
+}
+
+/* The dimension in the original scattering polyhedron of PBB
+   containing the loop iterator ITER.  */
+
+static inline ppl_dimension_type
+psco_iterator_dim (poly_bb_p pbb, graphite_dim_t iter)
+{
+  gcc_assert (iter < pbb_dim_iter_domain (pbb));
+  return iter + pbb_nb_scattering_orig (pbb);
+}
+
+/* The dimension in the transformed scattering polyhedron of PBB
+   containing the loop iterator ITER.  */
+
+static inline ppl_dimension_type
+psct_iterator_dim (poly_bb_p pbb, graphite_dim_t iter)
+{
+  gcc_assert (iter < pbb_dim_iter_domain (pbb));
+  return iter
+    + pbb_nb_scattering_transform (pbb)
+    + pbb_nb_local_vars (pbb);
+}
+
+/* The dimension in the original scattering polyhedron of PBB
+   containing parameter PARAM.  */
+
+static inline ppl_dimension_type
+psco_parameter_dim (poly_bb_p pbb, graphite_dim_t param)
+{
+  gcc_assert (param < pbb_nb_params (pbb));
+  return param
+    + pbb_nb_scattering_orig (pbb)
+    + pbb_dim_iter_domain (pbb);
+}
+
+/* The dimension in the transformed scattering polyhedron of PBB
+   containing parameter PARAM.  */
+
+static inline ppl_dimension_type
+psct_parameter_dim (poly_bb_p pbb, graphite_dim_t param)
+{
+  gcc_assert (param < pbb_nb_params (pbb));
+  return param
+    + pbb_nb_scattering_transform (pbb)
+    + pbb_nb_local_vars (pbb)
+    + pbb_dim_iter_domain (pbb);
+}
+
+/* The scattering dimension of PBB corresponding to the dynamic level
+   LEVEL.  */
+
+static inline ppl_dimension_type
+psct_dynamic_dim (poly_bb_p pbb, graphite_dim_t level)
+{
+  graphite_dim_t result = 1 + 2 * level;
+
+  gcc_assert (result < pbb_nb_scattering_transform (pbb));
+  return result;
+}
+
+/* The scattering dimension of PBB corresponding to the static
+   sequence of the loop level LEVEL.  */
+
+static inline ppl_dimension_type
+psct_static_dim (poly_bb_p pbb, graphite_dim_t level)
+{
+  graphite_dim_t result = 2 * level;
+
+  gcc_assert (result < pbb_nb_scattering_transform (pbb));
+  return result;
+}
+
+/* Adds to the transformed scattering polyhedron of PBB a new local
+   variable and returns its index.  */
+
+static inline graphite_dim_t
+psct_add_local_variable (poly_bb_p pbb)
+{
+  graphite_dim_t nlv = pbb_nb_local_vars (pbb);
+  ppl_dimension_type lv_column = psct_local_var_dim (pbb, nlv);
+  ppl_insert_dimensions (PBB_TRANSFORMED_SCATTERING (pbb), lv_column, 1);
+  PBB_NB_LOCAL_VARIABLES (pbb) += 1;
+  return nlv;
+}
+
+/* Adds a dimension to the transformed scattering polyhedron of PBB at
+   INDEX.  */
+
+static inline void
+psct_add_scattering_dimension (poly_bb_p pbb, ppl_dimension_type index)
+{
+  gcc_assert (index < pbb_nb_scattering_transform (pbb));
+
+  ppl_insert_dimensions (PBB_TRANSFORMED_SCATTERING (pbb), index, 1);
+  PBB_NB_SCATTERING_TRANSFORM (pbb) += 1;
+}
+
+typedef struct lst *lst_p;
+DEF_VEC_P(lst_p);
+DEF_VEC_ALLOC_P (lst_p, heap);
+
+/* Loops and Statements Tree.  */
+struct lst {
+
+  /* LOOP_P is true when an LST node is a loop.  */
+  bool loop_p;
+
+  /* A pointer to the loop that contains this node.  */
+  lst_p loop_father;
+
+  /* Loop nodes contain a sequence SEQ of LST nodes, statements
+     contain a pointer to their polyhedral representation PBB.  */
+  union {
+    poly_bb_p pbb;
+    VEC (lst_p, heap) *seq;
+  } node;
+};
+
+#define LST_LOOP_P(LST) ((LST)->loop_p)
+#define LST_LOOP_FATHER(LST) ((LST)->loop_father)
+#define LST_PBB(LST) ((LST)->node.pbb)
+#define LST_SEQ(LST) ((LST)->node.seq)
+
+void scop_to_lst (scop_p);
+void print_lst (FILE *, lst_p, int);
+void debug_lst (lst_p);
+void dot_lst (lst_p);
+
+/* Creates a new LST loop with SEQ.  */
+
+static inline lst_p
+new_lst_loop (VEC (lst_p, heap) *seq)
+{
+  lst_p lst = XNEW (struct lst);
+  int i;
+  lst_p l;
+
+  LST_LOOP_P (lst) = true;
+  LST_SEQ (lst) = seq;
+  LST_LOOP_FATHER (lst) = NULL;
+
+  for (i = 0; VEC_iterate (lst_p, seq, i, l); i++)
+    LST_LOOP_FATHER (l) = lst;
+
+  return lst;
+}
+
+/* Creates a new LST statement with PBB.  */
+
+static inline lst_p
+new_lst_stmt (poly_bb_p pbb)
+{
+  lst_p lst = XNEW (struct lst);
+
+  LST_LOOP_P (lst) = false;
+  LST_PBB (lst) = pbb;
+  LST_LOOP_FATHER (lst) = NULL;
+  return lst;
+}
+
+/* Frees the memory used by LST.  */
+
+static inline void
+free_lst (lst_p lst)
+{
+  if (!lst)
+    return;
+
+  if (LST_LOOP_P (lst))
+    {
+      int i;
+      lst_p l;
+
+      for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+	free_lst (l);
+
+      VEC_free (lst_p, heap, LST_SEQ (lst));
+    }
+
+  free (lst);
+}
+
+/* Returns a copy of LST.  */
+
+static inline lst_p
+copy_lst (lst_p lst)
+{
+  if (!lst)
+    return NULL;
+
+  if (LST_LOOP_P (lst))
+    {
+      int i;
+      lst_p l;
+      VEC (lst_p, heap) *seq = VEC_alloc (lst_p, heap, 5);
+
+      for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+	VEC_safe_push (lst_p, heap, seq, copy_lst (l));
+
+      return new_lst_loop (seq);
+    }
+
+  return new_lst_stmt (LST_PBB (lst));
+}
+
+/* Adds a new loop under the loop LST.  */
+
+static inline void
+lst_add_loop_under_loop (lst_p lst)
+{
+  VEC (lst_p, heap) *seq = VEC_alloc (lst_p, heap, 1);
+  lst_p l = new_lst_loop (LST_SEQ (lst));
+
+  gcc_assert (LST_LOOP_P (lst));
+
+  LST_LOOP_FATHER (l) = lst;
+  VEC_quick_push (lst_p, seq, l);
+  LST_SEQ (lst) = seq;
+}
+
+/* Returns the loop depth of LST.  */
+
+static inline int
+lst_depth (lst_p lst)
+{
+  if (!lst)
+    return -2;
+
+  /* The depth of the outermost "fake" loop is -1.  This outermost
+     loop does not have a loop father and it is just a container, as
+     in the loop representation of GCC.  */
+  if (!LST_LOOP_FATHER (lst))
+    return -1;
+
+  return lst_depth (LST_LOOP_FATHER (lst)) + 1;
+}
+
+/* Returns the Dewey number for LST.  */
+
+static inline int
+lst_dewey_number (lst_p lst)
+{
+  int i;
+  lst_p l;
+
+  if (!lst)
+    return -1;
+
+  if (!LST_LOOP_FATHER (lst))
+    return 0;
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (LST_LOOP_FATHER (lst)), i, l); i++)
+    if (l == lst)
+      return i;
+
+  return -1;
+}
+
+/* Returns the Dewey number of LST at depth DEPTH.  */
+
+static inline int
+lst_dewey_number_at_depth (lst_p lst, int depth)
+{
+  gcc_assert (lst && depth >= 0 && lst_depth (lst) <= depth);
+
+  if (lst_depth (lst) == depth)
+    return lst_dewey_number (lst);
+
+  return lst_dewey_number_at_depth (LST_LOOP_FATHER (lst), depth);
+}
+
+/* Returns the predecessor of LST in the sequence of its loop father.
+   Returns NULL if LST is the first statement in the sequence.  */
+
+static inline lst_p
+lst_pred (lst_p lst)
+{
+  int dewey;
+  lst_p father;
+
+  if (!lst || !LST_LOOP_FATHER (lst))
+    return NULL;
+
+  dewey = lst_dewey_number (lst);
+  if (dewey == 0)
+    return NULL;
+
+  father = LST_LOOP_FATHER (lst);
+  return VEC_index (lst_p, LST_SEQ (father), dewey - 1);
+}
+
+/* Returns the successor of LST in the sequence of its loop father.
+   Returns NULL if there is none.  */
+
+static inline lst_p
+lst_succ (lst_p lst)
+{
+  int dewey;
+  lst_p father;
+
+  if (!lst || !LST_LOOP_FATHER (lst))
+    return NULL;
+
+  dewey = lst_dewey_number (lst);
+  father = LST_LOOP_FATHER (lst);
+
+  if (VEC_length (lst_p, LST_SEQ (father)) == (unsigned) dewey + 1)
+    return NULL;
+
+  return VEC_index (lst_p, LST_SEQ (father), dewey + 1);
+}
+
+
+/* Return the LST node corresponding to PBB.  */
+
+static inline lst_p
+lst_find_pbb (lst_p lst, poly_bb_p pbb)
+{
+  int i;
+  lst_p l;
+
+  if (!lst)
+    return NULL;
+
+  if (!LST_LOOP_P (lst))
+    return (pbb == LST_PBB (lst)) ? lst : NULL;
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+    {
+      lst_p res = lst_find_pbb (l, pbb);
+      if (res)
+	return res;
+    }
+
+  return NULL;
+}
+
+/* Return the LST node corresponding to the loop around STMT at depth
+   LOOP_DEPTH.  */
+
+static inline lst_p
+find_lst_loop (lst_p stmt, int loop_depth)
+{
+  lst_p loop = LST_LOOP_FATHER (stmt);
+
+  gcc_assert (loop_depth >= 0);
+
+  while (loop_depth < lst_depth (loop))
+    loop = LST_LOOP_FATHER (loop);
+
+  return loop;
+}
+
+/* Return the first lst representing a PBB statement in LST.  */
+
+static inline lst_p
+lst_find_first_pbb (lst_p lst)
+{
+  int i;
+  lst_p l;
+
+  if (!lst)
+    return NULL;
+
+  if (!LST_LOOP_P (lst))
+    return lst;
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+    {
+      lst_p res = lst_find_first_pbb (l);
+      if (res)
+	return res;
+    }
+
+  return NULL;
+}
+
+/* Returns true when LST is a loop that does not contains
+   statements.  */
+
+static inline bool
+lst_empty_p (lst_p lst)
+{
+  return !lst_find_first_pbb (lst);
+}
+
+/* Return the last lst representing a PBB statement in LST.  */
+
+static inline lst_p
+lst_find_last_pbb (lst_p lst)
+{
+  int i;
+  lst_p l, res = NULL;
+
+  if (!lst)
+    return NULL;
+
+  if (!LST_LOOP_P (lst))
+    return lst;
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+    {
+      lst_p last = lst_find_last_pbb (l);
+
+      if (last)
+	res = last;
+    }
+
+  gcc_assert (res);
+  return res;
+}
+
+/* Returns true if LOOP contains LST, in other words, if LST is nested
+   in LOOP.  */
+
+static inline bool
+lst_contains_p (lst_p loop, lst_p lst)
+{
+  if (!loop || !lst || !LST_LOOP_P (loop))
+    return false;
+
+  if (loop == lst)
+    return true;
+
+  return lst_contains_p (loop, LST_LOOP_FATHER (lst));
+}
+
+/* Returns true if LOOP contains PBB, in other words, if PBB is nested
+   in LOOP.  */
+
+static inline bool
+lst_contains_pbb (lst_p loop, poly_bb_p pbb)
+{
+  return lst_find_pbb (loop, pbb) ? true : false;
+}
+
+/* Creates a loop nest of depth NB_LOOPS containing LST.  */
+
+static inline lst_p
+lst_create_nest (int nb_loops, lst_p lst)
+{
+  lst_p res, loop;
+  VEC (lst_p, heap) *seq;
+
+  if (nb_loops == 0)
+    return lst;
+
+  seq = VEC_alloc (lst_p, heap, 1);
+  loop = lst_create_nest (nb_loops - 1, lst);
+  VEC_quick_push (lst_p, seq, loop);
+  res = new_lst_loop (seq);
+  LST_LOOP_FATHER (loop) = res;
+
+  return res;
+}
+
+/* Removes LST from the sequence of statements of its loop father.  */
+
+static inline void
+lst_remove_from_sequence (lst_p lst)
+{
+  lst_p father = LST_LOOP_FATHER (lst);
+  int dewey = lst_dewey_number (lst);
+
+  gcc_assert (lst && father && dewey >= 0);
+
+  VEC_ordered_remove (lst_p, LST_SEQ (father), dewey);
+  LST_LOOP_FATHER (lst) = NULL;
+}
+
+/* Updates the scattering of PBB to be at the DEWEY number in the loop
+   at depth LEVEL.  */
+
+static inline void
+pbb_update_scattering (poly_bb_p pbb, graphite_dim_t level, int dewey)
+{
+  ppl_Polyhedron_t ph = PBB_TRANSFORMED_SCATTERING (pbb);
+  ppl_dimension_type sched = psct_static_dim (pbb, level);
+  ppl_dimension_type ds[1];
+  ppl_Constraint_t new_cstr;
+  ppl_Linear_Expression_t expr;
+  ppl_dimension_type dim;
+
+  ppl_Polyhedron_space_dimension (ph, &dim);
+  ds[0] = sched;
+  ppl_Polyhedron_remove_space_dimensions (ph, ds, 1);
+  ppl_insert_dimensions (ph, sched, 1);
+
+  ppl_new_Linear_Expression_with_dimension (&expr, dim);
+  ppl_set_coef (expr, sched, -1);
+  ppl_set_inhomogeneous (expr, dewey);
+  ppl_new_Constraint (&new_cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
+  ppl_delete_Linear_Expression (expr);
+  ppl_Polyhedron_add_constraint (ph, new_cstr);
+  ppl_delete_Constraint (new_cstr);
+}
+
+/* Updates the scattering of all the PBBs under LST to be at the DEWEY
+   number in the loop at depth LEVEL.  */
+
+static inline void
+lst_update_scattering_under (lst_p lst, int level, int dewey)
+{
+  int i;
+  lst_p l;
+
+  gcc_assert (lst && level >= 0 && dewey >= 0);
+
+  if (LST_LOOP_P (lst))
+    for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+      lst_update_scattering_under (l, level, dewey);
+  else
+    pbb_update_scattering (LST_PBB (lst), level, dewey);
+}
+
+/* Updates the scattering of all the PBBs under LST and in sequence
+   with LST.  */
+
+static inline void
+lst_update_scattering_seq (lst_p lst)
+{
+  int i;
+  lst_p l;
+  lst_p father = LST_LOOP_FATHER (lst);
+  int dewey = lst_dewey_number (lst);
+  int level = lst_depth (lst);
+
+  gcc_assert (lst && father && dewey >= 0 && level >= 0);
+
+  for (i = dewey; VEC_iterate (lst_p, LST_SEQ (father), i, l); i++)
+    lst_update_scattering_under (l, level, i);
+}
+
+/* Updates the all the scattering levels of all the PBBs under
+   LST.  */
+
+static inline void
+lst_update_scattering (lst_p lst)
+{
+  int i;
+  lst_p l;
+
+  if (!lst || !LST_LOOP_P (lst))
+    return;
+
+  if (LST_LOOP_FATHER (lst))
+    lst_update_scattering_seq (lst);
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (lst), i, l); i++)
+    lst_update_scattering (l);
+}
+
+/* Inserts LST1 before LST2 if BEFORE is true; inserts LST1 after LST2
+   if BEFORE is false.  */
+
+static inline void
+lst_insert_in_sequence (lst_p lst1, lst_p lst2, bool before)
+{
+  lst_p father;
+  int dewey;
+
+  /* Do not insert empty loops.  */
+  if (!lst1 || lst_empty_p (lst1))
+    return;
+
+  father = LST_LOOP_FATHER (lst2);
+  dewey = lst_dewey_number (lst2);
+
+  gcc_assert (lst2 && father && dewey >= 0);
+
+  VEC_safe_insert (lst_p, heap, LST_SEQ (father), before ? dewey : dewey + 1,
+		   lst1);
+  LST_LOOP_FATHER (lst1) = father;
+}
+
+/* Replaces LST1 with LST2.  */
+
+static inline void
+lst_replace (lst_p lst1, lst_p lst2)
+{
+  lst_p father;
+  int dewey;
+
+  if (!lst2 || lst_empty_p (lst2))
+    return;
+
+  father = LST_LOOP_FATHER (lst1);
+  dewey = lst_dewey_number (lst1);
+  LST_LOOP_FATHER (lst2) = father;
+  VEC_replace (lst_p, LST_SEQ (father), dewey, lst2);
+}
+
+/* Returns a copy of ROOT where LST has been replaced by a copy of the
+   LSTs A B C in this sequence.  */
+
+static inline lst_p
+lst_substitute_3 (lst_p root, lst_p lst, lst_p a, lst_p b, lst_p c)
+{
+  int i;
+  lst_p l;
+  VEC (lst_p, heap) *seq;
+
+  if (!root)
+    return NULL;
+
+  gcc_assert (lst && root != lst);
+
+  if (!LST_LOOP_P (root))
+    return new_lst_stmt (LST_PBB (root));
+
+  seq = VEC_alloc (lst_p, heap, 5);
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (root), i, l); i++)
+    if (l != lst)
+      VEC_safe_push (lst_p, heap, seq, lst_substitute_3 (l, lst, a, b, c));
+    else
+      {
+	if (!lst_empty_p (a))
+	  VEC_safe_push (lst_p, heap, seq, copy_lst (a));
+	if (!lst_empty_p (b))
+	  VEC_safe_push (lst_p, heap, seq, copy_lst (b));
+	if (!lst_empty_p (c))
+	  VEC_safe_push (lst_p, heap, seq, copy_lst (c));
+      }
+
+  return new_lst_loop (seq);
+}
+
+/* Moves LST before LOOP if BEFORE is true, and after the LOOP if
+   BEFORE is false.  */
+
+static inline void
+lst_distribute_lst (lst_p loop, lst_p lst, bool before)
+{
+  int loop_depth = lst_depth (loop);
+  int depth = lst_depth (lst);
+  int nb_loops = depth - loop_depth;
+
+  gcc_assert (lst && loop && LST_LOOP_P (loop) && nb_loops > 0);
+
+  lst_remove_from_sequence (lst);
+  lst_insert_in_sequence (lst_create_nest (nb_loops, lst), loop, before);
+}
+
+/* Removes from LOOP all the statements before/after and including PBB
+   if BEFORE is true/false.  Returns the negation of BEFORE when the
+   statement PBB has been found.  */
+
+static inline bool
+lst_remove_all_before_including_pbb (lst_p loop, poly_bb_p pbb, bool before)
+{
+  int i;
+  lst_p l;
+
+  if (!loop || !LST_LOOP_P (loop))
+    return before;
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (loop), i, l);)
+    if (LST_LOOP_P (l))
+      {
+	before = lst_remove_all_before_including_pbb (l, pbb, before);
+
+	if (VEC_length (lst_p, LST_SEQ (l)) == 0)
+	  {
+	    VEC_ordered_remove (lst_p, LST_SEQ (loop), i);
+	    free_lst (l);
+	  }
+	else
+	  i++;
+      }
+    else
+      {
+	if (before)
+	  {
+	    if (LST_PBB (l) == pbb)
+	      before = false;
+
+	    VEC_ordered_remove (lst_p, LST_SEQ (loop), i);
+	    free_lst (l);
+	  }
+	else if (LST_PBB (l) == pbb)
+	  {
+	    before = true;
+	    VEC_ordered_remove (lst_p, LST_SEQ (loop), i);
+	    free_lst (l);
+	  }
+	else
+	  i++;
+      }
+
+  return before;
+}
+
+/* Removes from LOOP all the statements before/after and excluding PBB
+   if BEFORE is true/false; Returns the negation of BEFORE when the
+   statement PBB has been found.  */
+
+static inline bool
+lst_remove_all_before_excluding_pbb (lst_p loop, poly_bb_p pbb, bool before)
+{
+  int i;
+  lst_p l;
+
+  if (!loop || !LST_LOOP_P (loop))
+    return before;
+
+  for (i = 0; VEC_iterate (lst_p, LST_SEQ (loop), i, l);)
+    if (LST_LOOP_P (l))
+      {
+	before = lst_remove_all_before_excluding_pbb (l, pbb, before);
+
+	if (VEC_length (lst_p, LST_SEQ (l)) == 0)
+	  {
+	    VEC_ordered_remove (lst_p, LST_SEQ (loop), i);
+	    free_lst (l);
+	    continue;
+	  }
+
+	i++;
+      }
+    else
+      {
+	if (before && LST_PBB (l) != pbb)
+	  {
+	    VEC_ordered_remove (lst_p, LST_SEQ (loop), i);
+	    free_lst (l);
+	    continue;
+	  }
+
+	i++;
+
+	if (LST_PBB (l) == pbb)
+	  before = before ? false : true;
+      }
+
+  return before;
+}
+
+/* A SCOP is a Static Control Part of the program, simple enough to be
+   represented in polyhedral form.  */
+struct scop
+{
+  /* A SCOP is defined as a SESE region.  */
+  void *region;
+
+  /* Number of parameters in SCoP.  */
+  graphite_dim_t nb_params;
+
+  /* All the basic blocks in this scop that contain memory references
+     and that will be represented as statements in the polyhedral
+     representation.  */
+  VEC (poly_bb_p, heap) *bbs;
+
+  /* Original, transformed and saved schedules.  */
+  lst_p original_schedule, transformed_schedule, saved_schedule;
+
+  /* The context describes known restrictions concerning the parameters
+     and relations in between the parameters.
+
+  void f (int8_t a, uint_16_t b) {
+    c = 2 a + b;
+    ...
+  }
+
+  Here we can add these restrictions to the context:
+
+  -128 >= a >= 127
+     0 >= b >= 65,535
+     c = 2a + b  */
+  ppl_Pointset_Powerset_C_Polyhedron_t context;
+
+  /* A hashtable of the data dependence relations for the original
+     scattering.  */
+  htab_t original_pddrs;
+};
+
+#define SCOP_BBS(S) (S->bbs)
+#define SCOP_REGION(S) ((sese) S->region)
+#define SCOP_CONTEXT(S) (S->context)
+#define SCOP_ORIGINAL_PDDRS(S) (S->original_pddrs)
+#define SCOP_ORIGINAL_SCHEDULE(S) (S->original_schedule)
+#define SCOP_TRANSFORMED_SCHEDULE(S) (S->transformed_schedule)
+#define SCOP_SAVED_SCHEDULE(S) (S->saved_schedule)
+
+extern scop_p new_scop (void *);
+extern void free_scop (scop_p);
+extern void free_scops (VEC (scop_p, heap) *);
+extern void print_generated_program (FILE *, scop_p);
+extern void debug_generated_program (scop_p);
+extern void print_scattering_function (FILE *, poly_bb_p);
+extern void print_scattering_functions (FILE *, scop_p);
+extern void debug_scattering_function (poly_bb_p);
+extern void debug_scattering_functions (scop_p);
+extern int scop_max_loop_depth (scop_p);
+extern int unify_scattering_dimensions (scop_p);
+extern bool apply_poly_transforms (scop_p);
+extern bool graphite_legal_transform (scop_p);
+
+/* Set the region of SCOP to REGION.  */
+
+static inline void
+scop_set_region (scop_p scop, void *region)
+{
+  scop->region = region;
+}
+
+/* Returns the number of parameters for SCOP.  */
+
+static inline graphite_dim_t
+scop_nb_params (scop_p scop)
+{
+  return scop->nb_params;
+}
+
+/* Set the number of params of SCOP to NB_PARAMS.  */
+
+static inline void
+scop_set_nb_params (scop_p scop, graphite_dim_t nb_params)
+{
+  scop->nb_params = nb_params;
+}
+
+/* Allocates a new empty poly_scattering structure.  */
+
+static inline poly_scattering_p
+poly_scattering_new (void)
+{
+  poly_scattering_p res = XNEW (struct poly_scattering);
+
+  res->scattering = NULL;
+  res->nb_local_variables = 0;
+  res->nb_scattering = 0;
+  return res;
+}
+
+/* Free a poly_scattering structure.  */
+
+static inline void
+poly_scattering_free (poly_scattering_p s)
+{
+  ppl_delete_Polyhedron (s->scattering);
+  free (s);
+}
+
+/* Copies S and return a new scattering.  */
+
+static inline poly_scattering_p
+poly_scattering_copy (poly_scattering_p s)
+{
+  poly_scattering_p res = poly_scattering_new ();
+
+  ppl_new_C_Polyhedron_from_C_Polyhedron (&(res->scattering), s->scattering);
+  res->nb_local_variables = s->nb_local_variables;
+  res->nb_scattering = s->nb_scattering;
+  return res;
+}
+
+/* Saves the transformed scattering of PBB.  */
+
+static inline void
+store_scattering_pbb (poly_bb_p pbb)
+{
+  gcc_assert (PBB_TRANSFORMED (pbb));
+
+  if (PBB_SAVED (pbb))
+    poly_scattering_free (PBB_SAVED (pbb));
+
+  PBB_SAVED (pbb) = poly_scattering_copy (PBB_TRANSFORMED (pbb));
+}
+
+/* Stores the SCOP_TRANSFORMED_SCHEDULE to SCOP_SAVED_SCHEDULE.  */
+
+static inline void
+store_lst_schedule (scop_p scop)
+{
+  if (SCOP_SAVED_SCHEDULE (scop))
+    free_lst (SCOP_SAVED_SCHEDULE (scop));
+
+  SCOP_SAVED_SCHEDULE (scop) = copy_lst (SCOP_TRANSFORMED_SCHEDULE (scop));
+}
+
+/* Restores the SCOP_TRANSFORMED_SCHEDULE from SCOP_SAVED_SCHEDULE.  */
+
+static inline void
+restore_lst_schedule (scop_p scop)
+{
+  if (SCOP_TRANSFORMED_SCHEDULE (scop))
+    free_lst (SCOP_TRANSFORMED_SCHEDULE (scop));
+
+  SCOP_TRANSFORMED_SCHEDULE (scop) = copy_lst (SCOP_SAVED_SCHEDULE (scop));
+}
+
+/* Saves the scattering for all the pbbs in the SCOP.  */
+
+static inline void
+store_scattering (scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    store_scattering_pbb (pbb);
+
+  store_lst_schedule (scop);
+}
+
+/* Restores the scattering of PBB.  */
+
+static inline void
+restore_scattering_pbb (poly_bb_p pbb)
+{
+  gcc_assert (PBB_SAVED (pbb));
+
+  poly_scattering_free (PBB_TRANSFORMED (pbb));
+  PBB_TRANSFORMED (pbb) = poly_scattering_copy (PBB_SAVED (pbb));
+}
+
+/* Restores the scattering for all the pbbs in the SCOP.  */
+
+static inline void
+restore_scattering (scop_p scop)
+{
+  int i;
+  poly_bb_p pbb;
+
+  for (i = 0; VEC_iterate (poly_bb_p, SCOP_BBS (scop), i, pbb); i++)
+    restore_scattering_pbb (pbb);
+
+  restore_lst_schedule (scop);
+}
+
+#endif