On Tue, Oct 24, 2017 at 3:30 PM, Michael Matz <m...@suse.de> wrote:
> Hello,
>
> On Fri, 22 Sep 2017, Bin.Cheng wrote:
>
>> This is updated patch for loop interchange with review suggestions
>> resolved.  Changes are:
>>   1) It does more light weight checks like rectangle loop nest check
>> earlier than before.
>>   2) It checks profitability of interchange before data dependence 
>> computation.
>>   3) It calls find_data_references_in_loop only once for a loop nest now.
>>   4) Data dependence is open-computed so that we can skip instantly at
>> unknown dependence.
>>   5) It improves code generation in mapping induction variables for
>> loop nest, as well as
>>      adding a simple dead code elimination pass.
>>   6) It changes magic constants into parameters.
>
> So I have a couple comments/questions.  Something stylistic:
Hi Michael,
Thanks for reviewing.

>
>> +class loop_cand
>> +{
>> +public:
>> ...
>> +  friend class tree_loop_interchange;
>> +private:
>
> Just make this all public (and hence a struct, not class).
> No need for friends in file local classes.
Done.

>
>> +single_use_in_loop (tree var, struct loop *loop)
>> ...
>> +  FOR_EACH_IMM_USE_FAST (use_p, iterator, var)
>> +    {
>> +      stmt = USE_STMT (use_p);
>> ...
>> +      basic_block bb = gimple_bb (stmt);
>> +      gcc_assert (bb != NULL);
>
> This pattern reoccurs often in your patch: you check for a bb associated
> for a USE_STMT.  Uses of SSA names always occur in basic blocks, no need
> for checking.
Done.

>
> Then, something about your handling of simple reductions:
>
>> +void
>> +loop_cand::classify_simple_reduction (reduction_p re)
>> +{
>> ...
>> +  /* Require memory references in producer and consumer are the same so
>> +     that we can undo reduction during interchange.  */
>> +  if (re->init_ref && !operand_equal_p (re->init_ref, re->fini_ref, 0))
>> +    return;
>
> Where is it checked that the undoing transformation is legal also
> from a data dep point of view?  Think code like this:
>
>    sum = X[i];
>    for (j ...)
>      sum += X[j];
>    X[i] = sum;
>
> Moving the store into the inner loop isn't always correct and I don't seem
> to find where the above situation is rejected.
Yeah.  for the old patch, it's possible to have such loop wrongly interchanged;
in practice, it's hard to create an example.  The pass will give up
when computing
data dep between references in inner/outer loops.  In this updated
patch, it's fixed
by giving up if there is any dependence between references of inner/outer loops.

>
> Maybe I'm confused because I also don't see where you even can get into
> the above situation (though I do see testcases about this).  The thing is,
> for an 2d loop nest to contain something like the above reduction it can't
> be perfect:
>
>    for (j) {
>      int sum = X[j];      // 1
>      for (i)
>        sum += Y[j][i];
>      X[j] = sum;          // 2
>    }
>
> But you do check for perfectness in proper_loop_form_for_interchange and
> prepare_perfect_loop_nest, so either you can't get into the situation or
> the checking can't be complete, or you define the above to be perfect
> nevertheless (probably because the load and store are in outer loop
> header/exit blocks?).  The latter would mean that you accept also other
> code in header/footer of loops from a pure CFG perspective, so where is it
> checked that that other code (which aren't simple reductions) isn't
> harmful to the transformation?
Yes, I used the name perfect loop nest, but the pass can handle special form
imperfect loop nest for the simple reduction.  I added comments describing
this before function prepare_perfect_loop_nest.

>
> Then, the data dependence part of the new pass:
>
>> +bool
>> +tree_loop_interchange::valid_data_dependences (unsigned inner, unsigned 
>> outer)
>> +{
>> +  struct data_dependence_relation *ddr;
>> +
>> +  for (unsigned i = 0; ddrs.iterate (i, &ddr); ++i)
>> +    {
>> +      /* Skip no-dependence case.  */
>> +      if (DDR_ARE_DEPENDENT (ddr) == chrec_known)
>> +     continue;
>> +
>> +      for (unsigned j = 0; j < DDR_NUM_DIR_VECTS (ddr); ++j)
>> +     {
>> +       lambda_vector dist_vect = DDR_DIST_VECT (ddr, j);
>> +       unsigned level = dependence_level (dist_vect, loop_nest.length ());
>> +
>> +       /* If there is no carried dependence.  */
>> +       if (level == 0)
>> +         continue;
>> +
>> +       level --;
>> +       /* Skip case which has '>' as the leftmost direction.  */
>> +       if (!lambda_vector_lexico_pos (dist_vect, level))
>> +         return false;
>
> Shouldn't happen as dist vectors are forced positive via DDR_REVERSED.
Done.

>
>> +       /* If dependence is carried by outer loop of the two loops for
>> +          interchange.  */
>> +       if (level < outer)
>> +         continue;
>> +
>> +       lambda_vector dir_vect = DDR_DIR_VECT (ddr, j);
>> +       /* If directions at both inner/outer levels are the same.  */
>> +       if (dir_vect[inner] == dir_vect[outer])
>> +         continue;
>> +
>> +       /* Be conservative, skip case if either direction at inner/outer
>> +          levels is not '=' or '<'.  */
>> +       if (dir_vect[inner] != dir_equal
>> +           && dir_vect[inner] != dir_positive
>> +           && dir_vect[inner] != dir_independent
>> +           && dir_vect[inner] != dir_positive_or_equal)
>> +         return false;
>> +
>> +       if (dir_vect[outer] != dir_equal
>> +           && dir_vect[outer] != dir_positive
>> +           && dir_vect[outer] != dir_independent
>> +           && dir_vect[outer] != dir_positive_or_equal)
>> +         return false;
>
> Checking dir vectors doesn't make much sense in GCC: the elements are only
> ever set to dir_positive, dir_negative or dir_equal, exactly when distance
> is
>  > 0, < 0 or == 0.  So checking dist vector is enough. (though sameness of
> direction checks sameness of sign with zero).  Incidentally:
Done.

>
>> +tree_loop_interchange::update_data_deps (unsigned inner, unsigned outer)
>> +{
>> +  struct data_dependence_relation *ddr;
>> +
>> +  for (unsigned i = 0; ddrs.iterate (i, &ddr); ++i)
>> +    {
>> +      /* Skip no-dependence case.  */
>> +      if (DDR_ARE_DEPENDENT (ddr) == chrec_known)
>> +     continue;
>> +
>> +      for (unsigned j = 0; j < DDR_NUM_DIR_VECTS (ddr); ++j)
>> +     {
>> +       lambda_vector dir_vect = DDR_DIR_VECT (ddr, j);
>> +       std::swap (dir_vect[inner], dir_vect[outer]);
>> +     }
>> +    }
>> +}
>
> Here you swap only the direction but not the distance vector, which can't
> be right.  I suggest only using (and updating) the distance vector.
Yeah, fixed.

>
> And then your usage and update of DR_ACCESS_FNs: there's quite some
> complexity connected with that and I'm not sure how worthwhile it is.
> You're basically using the ACCESS_FNs to determine profitability (and not
> for validity, and that's good).  But e.g. for pointer based accesses like
> in fortran with explicit address arithmetic the relation between access-fn
> step and stride and actual access stride isn't that easy (e.g. in your
> should_interchange_loops function iloop_stride and oloop_stride will
> always be one for pointer based accesses).
>
> Conceptually what you should check is how the access address for each data
> ref revolves for each loop, so why not doing this explicitely?  What I
> mean is: calculate a (complicated) chrec for the DR addresses for the
> whole nest at the beginning.  It should be in the form like (assume "+"
> always):
>
>   {{{init, s1}_l1, s2}_l2, s3}_l3
>
> (i.e. all steps should be invariants/constants, and only one non-chrec
> init value).  Addresses which aren't in this form you're already ignoring
> right now, so you could continue doing that.  (Or better said, all
> non-constant steps you regard as being AVG_DIM_SIZE, which you still can
> continue doing).
>
> Now, with the above form you can form expressions for the difference
> between addresses per iteration for each loop (i.e. the address stride per
> loop); store these.  Then, when interchanging loops you need to merely
> swap these expressions like you have to with the distance vector, instead
> of fiddling inside the DR_ACCESS_FNs themself.  Much code would go away.
Yeah.  Did similar thing in loop nest distribution pass.  See
compute_access_range
in tree-loop-distribution.c.  Actually, I would do the same here if I
had implemented
this pass after loop nest distribution patches.  Done in this updated patch.

>
> Testcases: given that we had to remove our old separate interchange pass
> because it miscompiled stuff all over I'm missing some testcases where
> interchange should _not_ happen for validity reasons, like my above
> example with an reduction that can't be moved inside.  Perhaps you can
> think of some more.
As mentioned above, it's hard to create test that fail exactly for this reason.
I added one that data dependence prevents us from interchanging the loop.

>
> I hope this is of some help to you :)
Thanks again, it's very helpful.

I also fixed several bugs of previous implementation, mostly about debug info
statements and simple reductions.  As for test, I enabled this pass by default,
bootstrap and regtest GCC, I also build/run specs.  There must be some other
latent bugs in it, but guess we have to exercise it by enabling it at
some point.

So any comments?

Thanks,
bin

2017-11-15  Bin Cheng  <bin.ch...@arm.com>

    * Makefile.in (tree-ssa-loop-interchange.o): New object file.
    * common.opt (ftree-loop-interchange): New option.
    * doc/invoke.texi (-ftree-loop-interchange): Document new option.
    * gimple-iterator.c (gsi_remove): New parameter determining if dbg
    bind stmt is inserted or not.
    * gimple-iterator.h (gsi_remove): New parameter in declaration.
    * params.def (PARAM_LOOP_INTERCHANGE_MAX_NUM_STMTS): New parameter.
    (PARAM_LOOP_INTERCHANGE_STRIDE_RATIO): New parameter.
    * passes.def (pass_linterchange): New pass.
    * timevar.def (TV_LINTERCHANGE): New time var.
    * tree-pass.h (make_pass_linterchange): New declaration.
    * tree-ssa-loop-interchange.cc: New file.
    * tree-ssa-loop-ivcanon.c (create_canonical_iv): Change to external.
    Record IV before/after increment in new parameters.
    * tree-ssa-loop-ivopts.h (create_canonical_iv): New declaration.

gcc/testsuite
2017-11-15  Bin Cheng  <bin.ch...@arm.com>

    * gcc.dg/tree-ssa/loop-interchange-1.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-2.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-3.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-4.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-5.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-6.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-7.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-8.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-9.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-10.c: New test.
    * gcc.dg/tree-ssa/loop-interchange-11.c: New test.

>
>
> Ciao,
> Michael.
diff --git a/gcc/Makefile.in b/gcc/Makefile.in
index 5db7855..a720bed 100644
--- a/gcc/Makefile.in
+++ b/gcc/Makefile.in
@@ -1524,6 +1524,7 @@ OBJS = \
        tree-ssa-live.o \
        tree-ssa-loop-ch.o \
        tree-ssa-loop-im.o \
+       tree-ssa-loop-interchange.o \
        tree-ssa-loop-ivcanon.o \
        tree-ssa-loop-ivopts.o \
        tree-ssa-loop-manip.o \
diff --git a/gcc/common.opt b/gcc/common.opt
index f8f2ed3..f4eeaa7 100644
--- a/gcc/common.opt
+++ b/gcc/common.opt
@@ -2574,6 +2574,10 @@ ftree-loop-distribute-patterns
 Common Report Var(flag_tree_loop_distribute_patterns) Optimization
 Enable loop distribution for patterns transformed into a library call.
 
+ftree-loop-interchange
+Common Report Var(flag_tree_loop_interchange) Optimization
+Enable loop interchange on trees.
+
 ftree-loop-im
 Common Report Var(flag_tree_loop_im) Init(1) Optimization
 Enable loop invariant motion on trees.
diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
index 4427328..00bdc1d 100644
--- a/gcc/doc/invoke.texi
+++ b/gcc/doc/invoke.texi
@@ -8620,6 +8620,25 @@ ENDDO
 @end smallexample
 and the initialization loop is transformed into a call to memset zero.
 
+@item -ftree-loop-interchange
+@opindex ftree-loop-interchange
+Perform loop interchange outside of graphite.  This flag can improve cache
+performance on loop nest and allow further loop optimizations, like
+vectorization, to take place.  For example, the loop
+@smallexample
+for (int i = 0; i < N; i++)
+  for (int j = 0; j < N; j++)
+    for (int k = 0; k < N; k++)
+      c[i][j] = c[i][j] + a[i][k]*b[k][j];
+@end smallexample
+is transformed to
+@smallexample
+for (int i = 0; i < N; i++)
+  for (int k = 0; k < N; k++)
+    for (int j = 0; j < N; j++)
+      c[i][j] = c[i][j] + a[i][k]*b[k][j];
+@end smallexample
+
 @item -ftree-loop-im
 @opindex ftree-loop-im
 Perform loop invariant motion on trees.  This pass moves only invariants that
diff --git a/gcc/gimple-iterator.c b/gcc/gimple-iterator.c
index d9d02d3..a4e8f46 100644
--- a/gcc/gimple-iterator.c
+++ b/gcc/gimple-iterator.c
@@ -549,16 +549,20 @@ gsi_insert_after (gimple_stmt_iterator *i, gimple *stmt,
    from the IL and not reinserted elsewhere.  In that case we remove the
    statement pointed to by iterator I from the EH tables, and free its
    operand caches.  Otherwise we do not modify this information.  Returns
-   true whether EH edge cleanup is required.  */
+   true whether EH edge cleanup is required.
+
+   If INSERT_DGB is true, this function inserts debug bind stmt for each
+   variable defined by the current stmt when necessary; replaces uses of
+   def with the newly-created debug temp.  */
 
 bool
-gsi_remove (gimple_stmt_iterator *i, bool remove_permanently)
+gsi_remove (gimple_stmt_iterator *i, bool remove_permanently, bool insert_dbg)
 {
   gimple_seq_node cur, next, prev;
   gimple *stmt = gsi_stmt (*i);
   bool require_eh_edge_purge = false;
 
-  if (gimple_code (stmt) != GIMPLE_PHI)
+  if (insert_dbg && gimple_code (stmt) != GIMPLE_PHI)
     insert_debug_temps_for_defs (i);
 
   /* Free all the data flow information for STMT.  */
diff --git a/gcc/gimple-iterator.h b/gcc/gimple-iterator.h
index 70f18be..f1c43cc 100644
--- a/gcc/gimple-iterator.h
+++ b/gcc/gimple-iterator.h
@@ -77,7 +77,7 @@ extern void gsi_insert_after_without_update 
(gimple_stmt_iterator *, gimple *,
                                             enum gsi_iterator_update);
 extern void gsi_insert_after (gimple_stmt_iterator *, gimple *,
                              enum gsi_iterator_update);
-extern bool gsi_remove (gimple_stmt_iterator *, bool);
+extern bool gsi_remove (gimple_stmt_iterator *, bool, bool = true);
 extern gimple_stmt_iterator gsi_for_stmt (gimple *);
 extern gphi_iterator gsi_for_phi (gphi *);
 extern void gsi_move_after (gimple_stmt_iterator *, gimple_stmt_iterator *);
diff --git a/gcc/params.def b/gcc/params.def
index 8881f4c..b5e5893 100644
--- a/gcc/params.def
+++ b/gcc/params.def
@@ -790,6 +790,20 @@ DEFPARAM (PARAM_L2_CACHE_SIZE,
          "The size of L2 cache.",
          512, 0, 0)
 
+/* Maximum number of statements in loop nest for loop interchange.  */
+
+DEFPARAM (PARAM_LOOP_INTERCHANGE_MAX_NUM_STMTS,
+         "loop-interchange-max-num-stmts",
+         "The maximum number of stmts in loop nest for loop interchange.",
+         64, 0, 0)
+
+/* Minimum stride ratio for loop interchange to be profitiable.  */
+
+DEFPARAM (PARAM_LOOP_INTERCHANGE_STRIDE_RATIO,
+         "loop-interchange-stride-ratio",
+         "The minimum stride ratio for loop interchange to be profitable",
+         2, 0, 0)
+
 /* Whether we should use canonical types rather than deep "structural"
    type checking.  Setting this value to 1 (the default) improves
    compilation performance in the C++ and Objective-C++ front end;
diff --git a/gcc/passes.def b/gcc/passes.def
index 00e75d2..2e38c6f 100644
--- a/gcc/passes.def
+++ b/gcc/passes.def
@@ -278,6 +278,7 @@ along with GCC; see the file COPYING3.  If not see
          NEXT_PASS (pass_cd_dce);
          NEXT_PASS (pass_iv_canon);
          NEXT_PASS (pass_loop_distribution);
+         NEXT_PASS (pass_linterchange);
          NEXT_PASS (pass_copy_prop);
          NEXT_PASS (pass_graphite);
          PUSH_INSERT_PASSES_WITHIN (pass_graphite)
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-1.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-1.c
new file mode 100644
index 0000000..f2392e3
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-1.c
@@ -0,0 +1,50 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+/* Copied from graphite/interchange-4.c */
+
+#define DEBUG 0
+#if DEBUG
+#include <stdio.h>
+#endif
+
+double u[1782225];
+
+static int __attribute__((noinline))
+foo (int N, int *res)
+{
+  int i, j;
+  double sum = 0;
+  for (i = 0; i < N; i++)
+    for (j = 0; j < N; j++)
+      sum = sum + u[i + 1335 * j];
+
+  for (i = 0; i < N; i++)
+    u[1336 * i] *= 2;
+
+  *res = sum + N + u[1336 * 2] + u[1336];
+}
+
+extern void abort ();
+
+int
+main (void)
+{
+  int i, j, res;
+
+  for (i = 0; i < 1782225; i++)
+    u[i] = 2;
+
+  foo (1335, &res);
+
+#if DEBUG
+  fprintf (stderr, "res = %d \n", res);
+#endif
+
+  if (res != 3565793)
+    abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange"} } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-10.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-10.c
new file mode 100644
index 0000000..610610b
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-10.c
@@ -0,0 +1,43 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M];
+int __attribute__((noinline))
+double_reduc (int n)
+{
+  int sum = 0;
+  for (int j = 0; j < n; j++)
+    {
+      for (int i = 0; i < n; i++)
+       sum = sum + a[i][j]*b[i][j];
+    }
+  return sum;
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  for (int j = 0; j < M; j++)
+    {
+      a[i][j] = i;
+      b[i][j] = j;
+    }
+}
+
+int main (void)
+{
+  for (int i = 0; i < M; ++i)
+    init (i);
+
+  int sum = double_reduc (M);
+
+  if (sum != 1065369600)
+    abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-11.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-11.c
new file mode 100644
index 0000000..e7acc1b
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-11.c
@@ -0,0 +1,22 @@
+/* { dg-do compile } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M];
+
+void
+simple_reduc_1 (int n, int *p)
+{
+  for (int j = 0; j < n; j++)
+    {
+      int sum = p[j];
+      for (int i = 0; i < n; i++)
+       {
+         sum = sum + b[i][j];
+         b[i][j] += a[i][j];
+       }
+
+      p[j] = sum;
+    }
+}
+/* { dg-final { scan-tree-dump-not "Loop_pair<outer:., inner:.> is 
interchanged" "linterchange" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-2.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-2.c
new file mode 100644
index 0000000..8341a22
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-2.c
@@ -0,0 +1,58 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+/* Copied from graphite/interchange-5.c */
+
+#define DEBUG 0
+#if DEBUG
+#include <stdio.h>
+#endif
+
+#define N 100
+#define M 1111
+int A[N][M];
+
+static int __attribute__((noinline))
+foo (void)
+{
+  int i, j;
+
+  for( i = 0; i < M; i++)
+    for( j = 0; j < N; j++)
+      A[j][i] = 5 * A[j][i];
+
+  return A[0][0] + A[N-1][M-1];
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  int j;
+
+  for (j = 0; j < M; j++)
+    A[i][j] = 2;
+}
+
+int
+main (void)
+{
+  int i, j, res;
+
+  for (i = 0; i < N; i++)
+    init (i);
+
+  res = foo ();
+
+#if DEBUG
+  fprintf (stderr, "res = %d \n", res);
+#endif
+
+  if (res != 20)
+    abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange"} } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-3.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-3.c
new file mode 100644
index 0000000..ca2a114
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-3.c
@@ -0,0 +1,59 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+/* Copied from graphite/interchange-6.c */
+
+#define DEBUG 0
+#if DEBUG
+#include <stdio.h>
+#endif
+
+#define N 100
+#define M 200
+
+static int __attribute__((noinline))
+foo (int A[N][M])
+{
+  int i, j;
+
+  /* This loop should be interchanged. */
+  for(j = 0; j < M; j++)
+    for(i = 0; i < N; i++)
+      A[i][j] = A[i][j] + A[i][j];
+
+  return A[0][0] + A[N-1][M-1];
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int *arr, int i)
+{
+  int j;
+
+  for (j = 0; j < M; j++)
+    arr[j] = 2;
+}
+
+int
+main (void)
+{
+  int A[N][M];
+  int i, j, res;
+
+  for (i = 0; i < N; i++)
+    init (A[i], i);
+
+  res = foo (A);
+
+#if DEBUG
+  fprintf (stderr, "res = %d \n", res);
+#endif
+
+  if (res != 8)
+    abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange"} } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-4.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-4.c
new file mode 100644
index 0000000..ff820f3
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-4.c
@@ -0,0 +1,50 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+/* Copied from graphite/interchange-7.c */
+
+#define DEBUG 0
+#if DEBUG
+#include <stdio.h>
+#endif
+
+#define N 111
+#define M 1111
+
+static int __attribute__((noinline))
+foo (double *a)
+{
+  int i,j;
+  int r = 0;
+
+  for (i = 0; i < N; ++i)
+    for (j = 0; j < M; ++j)
+      r += a[j * N + i];
+
+  return r;
+}
+
+extern void abort ();
+
+int
+main (void)
+{
+  double A[N*M];
+  int i, res;
+
+  for (i = 0; i < N*M; i++)
+    A[i] = 2;
+
+  res = foo (A);
+
+#if DEBUG
+  fprintf (stderr, "res = %d \n", res);
+#endif
+
+  if (res != 246642)
+    abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange"} } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-5.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-5.c
new file mode 100644
index 0000000..706da88
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-5.c
@@ -0,0 +1,71 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M], c[M][M], d[M][M];
+void __attribute__((noinline))
+matrix_mul_1 (int n)
+{
+  for (int i = 0; i < n; i++)
+    for (int j = 0; j < n; j++)
+      for (int k = 0; k < n; k++)
+        c[i][j] = c[i][j] + a[i][k]*b[k][j];
+}
+
+void __attribute__((noinline))
+matrix_mul_2 (int n)
+{
+  for (int i = 0; i < n; i++)
+    {
+      for (int j = 0; j < n; j++)
+       {
+         for (int k = 0; k < n; k++)
+           d[i][j] = d[i][j] + a[i][k]*b[k][j];
+
+         asm volatile ("" ::: "memory");
+       }
+      asm volatile ("" ::: "memory");
+    }
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  for (int j = 0; j < M; j++)
+    {
+      a[i][j] = i;
+      b[i][j] = j;
+      c[i][j] = 0;
+      d[i][j] = 0;
+    }
+}
+
+static int __attribute__((noinline))
+check (int i)
+{
+  for (int j = 0; j < M; j++)
+    if (c[i][j] != d[i][j])
+      return 0;
+
+  return 1;
+}
+
+int main (void)
+{
+  for (int i = 0; i < M; ++i)
+    init (i);
+
+  matrix_mul_1 (M);
+  matrix_mul_2 (M);
+
+  for (int i = 0; i < M; ++i)
+    if (!check (i))
+      abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange" } } */
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is not 
interchanged" 1 "linterchange" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-6.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-6.c
new file mode 100644
index 0000000..97555ed
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-6.c
@@ -0,0 +1,70 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M], c[M][M], d[M][M];
+void __attribute__((noinline))
+matrix_mul_1 (int n)
+{
+    for (int j = 0; j < n; j++)
+      for (int k = 0; k < n; k++)
+  for (int i = 0; i < n; i++)
+        c[i][j] = c[i][j] + a[i][k]*b[k][j];
+}
+
+void __attribute__((noinline))
+matrix_mul_2 (int n)
+{
+  for (int i = 0; i < n; i++)
+    {
+      for (int j = 0; j < n; j++)
+       {
+         for (int k = 0; k < n; k++)
+           d[i][j] = d[i][j] + a[i][k]*b[k][j];
+
+         asm volatile ("" ::: "memory");
+       }
+      asm volatile ("" ::: "memory");
+    }
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  for (int j = 0; j < M; j++)
+    {
+      a[i][j] = i;
+      b[i][j] = j;
+      c[i][j] = 0;
+      d[i][j] = 0;
+    }
+}
+
+static int __attribute__((noinline))
+check (int i)
+{
+  for (int j = 0; j < M; j++)
+    if (c[i][j] != d[i][j])
+      return 0;
+
+  return 1;
+}
+
+int main (void)
+{
+  for (int i = 0; i < M; ++i)
+    init (i);
+
+  matrix_mul_1 (M);
+  matrix_mul_2 (M);
+
+  for (int i = 0; i < M; ++i)
+    if (!check (i))
+      abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 2 "linterchange" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-7.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-7.c
new file mode 100644
index 0000000..b93ca78
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-7.c
@@ -0,0 +1,70 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M], c[M][M], d[M][M];
+void __attribute__((noinline))
+matrix_mul_1 (int n)
+{
+      for (int k = 0; k < n; k++)
+    for (int j = 0; j < n; j++)
+  for (int i = 0; i < n; i++)
+        c[i][j] = c[i][j] + a[i][k]*b[k][j];
+}
+
+void __attribute__((noinline))
+matrix_mul_2 (int n)
+{
+  for (int i = 0; i < n; i++)
+    {
+      for (int j = 0; j < n; j++)
+       {
+         for (int k = 0; k < n; k++)
+           d[i][j] = d[i][j] + a[i][k]*b[k][j];
+
+         asm volatile ("" ::: "memory");
+       }
+      asm volatile ("" ::: "memory");
+    }
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  for (int j = 0; j < M; j++)
+    {
+      a[i][j] = i;
+      b[i][j] = j;
+      c[i][j] = 0;
+      d[i][j] = 0;
+    }
+}
+
+static int __attribute__((noinline))
+check (int i)
+{
+  for (int j = 0; j < M; j++)
+    if (c[i][j] != d[i][j])
+      return 0;
+
+  return 1;
+}
+
+int main (void)
+{
+  for (int i = 0; i < M; ++i)
+    init (i);
+
+  matrix_mul_1 (M);
+  matrix_mul_2 (M);
+
+  for (int i = 0; i < M; ++i)
+    if (!check (i))
+      abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 2 "linterchange" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-8.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-8.c
new file mode 100644
index 0000000..29f5917
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-8.c
@@ -0,0 +1,70 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M], c[M][M], d[M][M];
+void __attribute__((noinline))
+matrix_mul_1 (int n)
+{
+  for (int i = 0; i < n; i++)
+      for (int k = 0; k < n; k++)
+    for (int j = 0; j < n; j++)
+        c[i][j] = c[i][j] + a[i][k]*b[k][j];
+}
+
+void __attribute__((noinline))
+matrix_mul_2 (int n)
+{
+  for (int i = 0; i < n; i++)
+    {
+      for (int j = 0; j < n; j++)
+       {
+         for (int k = 0; k < n; k++)
+           d[i][j] = d[i][j] + a[i][k]*b[k][j];
+
+         asm volatile ("" ::: "memory");
+       }
+      asm volatile ("" ::: "memory");
+    }
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  for (int j = 0; j < M; j++)
+    {
+      a[i][j] = i;
+      b[i][j] = j;
+      c[i][j] = 0;
+      d[i][j] = 0;
+    }
+}
+
+static int __attribute__((noinline))
+check (int i)
+{
+  for (int j = 0; j < M; j++)
+    if (c[i][j] != d[i][j])
+      return 0;
+
+  return 1;
+}
+
+int main (void)
+{
+  for (int i = 0; i < M; ++i)
+    init (i);
+
+  matrix_mul_1 (M);
+  matrix_mul_2 (M);
+
+  for (int i = 0; i < M; ++i)
+    if (!check (i))
+      abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-not "Loop_pair<outer:., inner:.> is 
interchanged" "linterchange" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-9.c 
b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-9.c
new file mode 100644
index 0000000..d6a3f5c
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/loop-interchange-9.c
@@ -0,0 +1,62 @@
+/* { dg-do run } */
+/* { dg-options "-O2 -ftree-loop-interchange -fdump-tree-linterchange-details" 
} */
+
+#define M 256
+int a[M][M], b[M][M], c[M], d[M];
+void __attribute__((noinline))
+simple_reduc_1 (int n)
+{
+  for (int j = 0; j < n; j++)
+    {
+      int sum = c[j];
+      for (int i = 0; i < n; i++)
+       sum = sum + a[i][j]*b[i][j];
+
+      c[j] = sum;
+    }
+}
+
+void __attribute__((noinline))
+simple_reduc_2 (int n)
+{
+  for (int j = 0; j < n; j++)
+    {
+      int sum = d[j];
+      for (int i = 0; i < n; i++)
+       sum = sum + a[i][j]*b[i][j];
+
+      asm volatile ("" ::: "memory");
+      d[j] = sum;
+    }
+}
+
+extern void abort ();
+
+static void __attribute__((noinline))
+init (int i)
+{
+  c[i] = 0;
+  d[i] = 0;
+  for (int j = 0; j < M; j++)
+    {
+      a[i][j] = i;
+      b[i][j] = j;
+    }
+}
+
+int main (void)
+{
+  for (int i = 0; i < M; ++i)
+    init (i);
+
+  simple_reduc_1 (M);
+  simple_reduc_2 (M);
+
+  for (int i = 0; i < M; ++i)
+    if (c[i] != d[i])
+      abort ();
+
+  return 0;
+}
+
+/* { dg-final { scan-tree-dump-times "Loop_pair<outer:., inner:.> is 
interchanged" 1 "linterchange" } } */
diff --git a/gcc/timevar.def b/gcc/timevar.def
index 8cec6af..730a1dc 100644
--- a/gcc/timevar.def
+++ b/gcc/timevar.def
@@ -184,6 +184,7 @@ DEFTIMEVAR (TV_TREE_LOOP         , "tree loop optimization")
 DEFTIMEVAR (TV_TREE_NOLOOP           , "loopless fn")
 DEFTIMEVAR (TV_TREE_LOOP_BOUNDS             , "tree loop bounds")
 DEFTIMEVAR (TV_LIM                   , "tree loop invariant motion")
+DEFTIMEVAR (TV_LINTERCHANGE          , "tree loop interchange")
 DEFTIMEVAR (TV_TREE_LOOP_IVCANON     , "tree canonical iv")
 DEFTIMEVAR (TV_SCEV_CONST            , "scev constant prop")
 DEFTIMEVAR (TV_TREE_LOOP_UNSWITCH    , "tree loop unswitching")
diff --git a/gcc/tree-pass.h b/gcc/tree-pass.h
index 9777308..18b06bd 100644
--- a/gcc/tree-pass.h
+++ b/gcc/tree-pass.h
@@ -368,6 +368,7 @@ extern gimple_opt_pass *make_pass_tree_loop (gcc::context 
*ctxt);
 extern gimple_opt_pass *make_pass_tree_no_loop (gcc::context *ctxt);
 extern gimple_opt_pass *make_pass_tree_loop_init (gcc::context *ctxt);
 extern gimple_opt_pass *make_pass_lim (gcc::context *ctxt);
+extern gimple_opt_pass *make_pass_linterchange (gcc::context *ctxt);
 extern gimple_opt_pass *make_pass_tree_unswitch (gcc::context *ctxt);
 extern gimple_opt_pass *make_pass_loop_split (gcc::context *ctxt);
 extern gimple_opt_pass *make_pass_predcom (gcc::context *ctxt);
diff --git a/gcc/tree-ssa-loop-interchange.cc b/gcc/tree-ssa-loop-interchange.cc
new file mode 100644
index 0000000..abffbf6
--- /dev/null
+++ b/gcc/tree-ssa-loop-interchange.cc
@@ -0,0 +1,2274 @@
+/* Loop invariant motion.
+   Copyright (C) 2017 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it
+under the terms of the GNU General Public License as published by the
+Free Software Foundation; either version 3, or (at your option) any
+later version.
+
+GCC is distributed in the hope that it will be useful, but WITHOUT
+ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING3.  If not see
+<http://www.gnu.org/licenses/>.  */
+
+#include "config.h"
+#include "system.h"
+#include "coretypes.h"
+#include "backend.h"
+#include "tree.h"
+#include "gimple.h"
+#include "tree-pass.h"
+#include "ssa.h"
+#include "gimple-pretty-print.h"
+#include "fold-const.h"
+#include "gimplify.h"
+#include "gimple-iterator.h"
+#include "cfgloop.h"
+#include "params.h"
+#include "tree-ssa.h"
+#include "tree-scalar-evolution.h"
+#include "tree-ssa-loop-manip.h"
+#include "tree-ssa-loop-niter.h"
+#include "tree-ssa-loop-ivopts.h"
+#include "tree-data-ref.h"
+
+/* This pass performs loop interchange: for example, the loop nest
+
+   for (int j = 0; j < N; j++)
+     for (int k = 0; k < N; k++)
+       for (int i = 0; i < N; i++)
+        c[i][j] = c[i][j] + a[i][k]*b[k][j];
+
+   is transformed to
+
+   for (int i = 0; i < N; i++)
+     for (int j = 0; j < N; j++)
+       for (int k = 0; k < N; k++)
+        c[i][j] = c[i][j] + a[i][k]*b[k][j];
+
+   This pass implements loop interchange in the following steps:
+
+     1) Find perfect loop nest for each innermost loop and compute data
+       dependence relations for it.  For above example, loop nest is
+       <loop_j, loop_k, loop_i>.
+     2) From innermost to outermost loop, this pass tries to interchange
+       each loop pair.  For above case, it firstly tries to interchange
+       <loop_k, loop_i> and loop nest becomes <loop_j, loop_i, loop_k>.
+       Then it tries to interchange <loop_j, loop_i> and loop nest becomes
+       <loop_i, loop_j, loop_k>.  The overall effect is to move innermost
+       loop to the outermost position.  For loop pair <loop_i, loop_j>
+       to be interchanged, we:
+     3) Check if data dependence relations are valid for loop interchange.
+     4) Check if both loops can be interchanged in terms of transformation.
+     5) Check if interchanging the two loops is profitable.
+     6) Interchange the two loops by mapping induction variables.
+
+   This pass also handles reductions in loop nest.  So far we only support
+   simple reduction of inner loop and double reduction of the loop nest.  */
+
+/* Maximum number of stmts in each loop that should be interchanged.  */
+#define MAX_NUM_STMT    (PARAM_VALUE (PARAM_LOOP_INTERCHANGE_MAX_NUM_STMTS))
+
+/* Default average number of loop iterations.  */
+#define AVG_LOOP_NITER    (PARAM_VALUE (PARAM_AVG_LOOP_NITER))
+
+/* Comparison ratio of access stride between inner/outer loops to be
+   interchanged.  This is the minimum stride ratio for loop interchange
+   to be profitable.  */
+#define OUTER_STRIDE_RATIO  (PARAM_VALUE (PARAM_LOOP_INTERCHANGE_STRIDE_RATIO))
+/* The same as above, but we require higher ratio for interchanging the
+   innermost two loops.  */
+#define INNER_STRIDE_RATIO  ((OUTER_STRIDE_RATIO) + 1)
+
+/* Vector of strides that DR accesses in each level loop of a loop nest.  */
+#define DR_ACCESS_STRIDE(dr) ((vec<tree> *) dr->aux)
+
+/* Structure recording loop induction variable.  */
+typedef struct induction
+{
+  /* IV itself.  */
+  tree var;
+  /* Initializer.  */
+  tree init;
+  /* IV's base and step part of SCEV.  */
+  tree base;
+  tree step;
+  /* Mapped IV variabled used for interchanging loops.  */
+  tree mapped_var;
+}*induction_p;
+
+/* Enum type for loop reduction variable.  */
+enum reduction_type
+{
+  UNKNOWN_RTYPE = 0,
+  SIMPLE_RTYPE,
+  DOUBLE_RTYPE
+};
+
+/* Structure recording loop reduction variable.  */
+typedef struct reduction
+{
+  /* Reduction itself.  */
+  tree var;
+  /* PHI node defining reduction variable.  */
+  gphi *phi;
+  /* Init and next variables of the reduction.  */
+  tree init;
+  tree next;
+  /* Lcssa PHI node if reduction is used outside of its definition loop.  */
+  gphi *lcssa_phi;
+  /* Stmts defining init and next.  */
+  gimple *producer;
+  gimple *consumer;
+  /* If init is loaded from memory, this is the loading memory reference.  */
+  tree init_ref;
+  /* If reduction is finally stored to memory, this is the stored memory
+     reference.  */
+  tree fini_ref;
+  enum reduction_type type;
+}*reduction_p;
+
+
+/* Dump reduction RE.  */
+
+static void
+dump_reduction (reduction_p re)
+{
+  if (re->type == SIMPLE_RTYPE)
+    fprintf (dump_file, "  Simple reduction:  ");
+  else if (re->type == DOUBLE_RTYPE)
+    fprintf (dump_file, "  Double reduction:  ");
+  else
+    fprintf (dump_file, "  Unknown reduction:  ");
+
+  print_gimple_stmt (dump_file, re->phi, 0);
+}
+
+/* Dump LOOP's induction IV.  */
+static void
+dump_induction (struct loop *loop, induction_p iv)
+{
+  fprintf (dump_file, "  Induction:  ");
+  print_generic_expr (dump_file, iv->var, TDF_SLIM);
+  fprintf (dump_file, " = {");
+  print_generic_expr (dump_file, iv->base, TDF_SLIM);
+  fprintf (dump_file, ", ");
+  print_generic_expr (dump_file, iv->step, TDF_SLIM);
+  fprintf (dump_file, "}_%d\n", loop->num);
+}
+
+/* Loop candidate for interchange.  */
+
+struct loop_cand
+{
+  loop_cand (unsigned, struct loop *, struct loop *);
+  ~loop_cand ();
+
+  reduction_p find_reduction_by_init (tree);
+  reduction_p find_reduction_by_stmt (gimple *);
+  void classify_simple_reduction (reduction_p);
+  bool analyze_iloop_reduction_var (tree);
+  bool analyze_oloop_reduction_var (loop_cand *, tree);
+  bool analyze_reduction_var (loop_cand *, tree);
+  bool analyze_induction_var (tree, tree);
+  bool analyze_carried_vars (loop_cand *);
+  bool analyze_lcssa_phis (void);
+  bool can_interchange_p (loop_cand *);
+  bool unsupported_operation (basic_block, loop_cand *);
+  void undo_simple_reduction (reduction_p);
+  void eliminate_dead_code (void);
+
+  /* The index of this loop in the whole loop nest vector.  */
+  unsigned idx;
+  /* The loop itself.  */
+  struct loop *loop;
+  /* The outer loop for interchange.  It equals to loop if this loop cand
+     itself represents the outer loop.  */
+  struct loop *outer;
+  /* Vector of induction variables in loop.  */
+  vec<induction_p> inductions;
+  /* Vector of reduction variables in loop.  */
+  vec<reduction_p> reductions;
+  /* Lcssa PHI nodes of this loop.  */
+  vec<gphi *> lcssa_nodes;
+  /* # of iterations of this loop.  */
+  tree niters;
+  /* Single exit edge of this loop.  */
+  edge exit;
+  /* Basic blocks of this loop.  */
+  basic_block *bbs;
+  /* # of stmts of this loop.  */
+  int num_stmts;
+};
+
+/* Constructor.  */
+
+loop_cand::loop_cand (unsigned idx, struct loop *loop, struct loop *outer)
+  : idx (idx), loop (loop), outer (outer),
+    niters (unshare_expr (number_of_latch_executions (loop))),
+    exit (single_exit (loop)), bbs (get_loop_body (loop)), num_stmts (0)
+{
+    inductions.create (3);
+    reductions.create (3);
+    lcssa_nodes.create (3);
+}
+
+/* Destructor.  */
+
+loop_cand::~loop_cand ()
+{
+  induction_p iv;
+  for (unsigned i = 0; inductions.iterate (i, &iv); ++i)
+    free (iv);
+
+  reduction_p re;
+  for (unsigned i = 0; reductions.iterate (i, &re); ++i)
+    free (re);
+
+  inductions.release ();
+  reductions.release ();
+  lcssa_nodes.release ();
+  free (bbs);
+}
+
+/* Return single use stmt of VAR in LOOP, otherwise return NULL.  */
+
+static gimple *
+single_use_in_loop (tree var, struct loop *loop)
+{
+  gimple *stmt, *res = NULL;
+  use_operand_p use_p;
+  imm_use_iterator iterator;
+
+  FOR_EACH_IMM_USE_FAST (use_p, iterator, var)
+    {
+      stmt = USE_STMT (use_p);
+      if (is_gimple_debug (stmt))
+       continue;
+
+      if (!flow_bb_inside_loop_p (loop, gimple_bb (stmt)))
+       continue;
+
+      if (res)
+       return NULL;
+
+      res = stmt;
+    }
+  return res;
+}
+
+/* Return true if E is unsupported in loop interchange, i.e, E is a complex
+   edge or part of irreducible loop.  */
+
+static inline bool
+unsupported_edge (edge e)
+{
+  return (e->flags & (EDGE_COMPLEX | EDGE_IRREDUCIBLE_LOOP));
+}
+
+/* Return true if PHI is unsupported in loop interchange, i.e, PHI contains
+   ssa var appearing in any abnormal phi node.  */
+
+static inline bool
+unsupported_phi_node (gphi *phi)
+{
+  if (SSA_NAME_OCCURS_IN_ABNORMAL_PHI (PHI_RESULT (phi)))
+    return true;
+
+  for (unsigned i = 0; i < gimple_phi_num_args (phi); ++i)
+    {
+      tree arg = PHI_ARG_DEF (phi, i);
+      if (TREE_CODE (arg) == SSA_NAME
+         && SSA_NAME_OCCURS_IN_ABNORMAL_PHI (arg))
+       return true;
+    }
+
+  return false;
+}
+
+/* Return reduction whose init variable is VAR, otherwise return NULL.  */
+
+reduction_p
+loop_cand::find_reduction_by_init (tree var)
+{
+  reduction_p re;
+
+  for (unsigned i = 0; reductions.iterate (i, &re); ++i)
+    if (re->init == var || operand_equal_p (re->init, var, 0))
+      return re;
+
+  return NULL;
+}
+
+/* Return the reduction if STMT is one of its lcssa PHI, producer or consumer
+   stmt.  */
+
+reduction_p
+loop_cand::find_reduction_by_stmt (gimple *stmt)
+{
+  gphi *phi = NULL;
+  reduction_p re;
+
+  if (is_a <gphi *> (stmt))
+    phi = as_a <gphi *> (stmt);
+
+  for (unsigned i = 0; reductions.iterate (i, &re); ++i)
+    if ((phi != NULL && phi == re->lcssa_phi)
+       || (stmt == re->producer || stmt == re->consumer))
+      return re;;
+
+  return NULL;
+}
+
+/* Return true if all stmts in BB can be supported by loop interchange,
+   otherwise return false.  ILOOP is not NULL if this loop_cand is the
+   outer loop in loop nest.  */
+
+bool
+loop_cand::unsupported_operation (basic_block bb, loop_cand *iloop)
+{
+  int bb_num_stmts = 0;
+  gphi_iterator psi;
+  gimple_stmt_iterator gsi;
+
+  for (gsi = gsi_start_bb (bb); !gsi_end_p (gsi); gsi_next (&gsi))
+    {
+      gimple *stmt = gsi_stmt (gsi);
+      if (is_gimple_debug (stmt))
+       continue;
+
+      if (gimple_has_volatile_ops (stmt)
+         || gimple_has_side_effects (stmt))
+       return false;
+
+      bb_num_stmts++;
+      if (is_gimple_call (stmt))
+       {
+         int cflags = gimple_call_flags (stmt);
+         /* Only support const/pure calls.  */
+         if (!(cflags & (ECF_CONST | ECF_PURE)))
+           return false;
+
+         /* In basic block of outer loop, the call should be cheap since
+            it will be moved to inner loop.  */
+         if (iloop != NULL
+             && !gimple_inexpensive_call_p (as_a <gcall *> (stmt)))
+           return false;
+
+         continue;
+       }
+
+      if (!iloop || !gimple_vuse (stmt))
+       continue;
+
+      /* Support stmt accessing memory in outer loop only if it is for inner
+        loop's reduction.  */
+      if (iloop->find_reduction_by_stmt (stmt))
+       continue;
+
+      tree lhs;
+      /* Or it's invariant memory reference and only used by inner loop.  */
+      if (gimple_assign_single_p (stmt)
+         && (lhs = gimple_assign_lhs (stmt)) != NULL_TREE
+         && TREE_CODE (lhs) == SSA_NAME
+         && single_use_in_loop (lhs, iloop->loop))
+       continue;
+
+      return false;
+    }
+  num_stmts += bb_num_stmts;
+
+  /* Allow PHI nodes in any basic block of inner loop, or PHI nodes in
+     (outer) loop's header.  */
+  if (!iloop || bb == loop->header)
+    return true;
+
+  for (psi = gsi_start_phis (bb); !gsi_end_p (psi); gsi_next (&psi))
+    {
+      gphi *phi = psi.phi ();
+
+      if (unsupported_phi_node (phi))
+       return false;
+
+      if (virtual_operand_p (PHI_RESULT (phi)))
+       continue;
+
+      /* For outer loop, we only support PHI in loop header and lcssa PHI
+        of inner loop's reduction.  */
+      if (!iloop->find_reduction_by_stmt (phi))
+       return false;
+    }
+  return true;
+}
+
+/* Return true if current loop_cand be interchanged.  ILOOP is not NULL if
+   current loop_cand is outer loop in loop nest.  */
+
+bool
+loop_cand::can_interchange_p (loop_cand *iloop)
+{
+  /* For now we only support at most one reduction.  */
+  unsigned allowed_reduction_num = 1;
+
+  /* Only support reduction if the loop nest to be interchanged is the
+     innermostin two loops.  */
+  if ((iloop == NULL && loop->inner != NULL)
+       || (iloop != NULL && iloop->loop->inner != NULL))
+    allowed_reduction_num = 0;
+
+  if (reductions.length () > allowed_reduction_num
+      || (reductions.length () == 1
+         && reductions[0]->type == UNKNOWN_RTYPE))
+    return false;
+
+  /* Only support lcssa PHI node which is for reduction.  */
+  if (lcssa_nodes.length () > allowed_reduction_num)
+    return false;
+
+  /* Check basic blocks other than loop header/exit.  */
+  for (unsigned i = 0; i < loop->num_nodes; i++)
+    {
+      basic_block bb = bbs[i];
+
+      /* Skip basic blocks of inner loops.  */
+      if (bb->loop_father != loop)
+       continue;
+
+      /* Check if basic block has any unsupported operation.  */
+      if (!unsupported_operation (bb, iloop))
+       return false;
+
+      /* Check if loop has too many stmts.  */
+      if (num_stmts > MAX_NUM_STMT)
+       return false;
+    }
+
+  return true;
+}
+
+/* Classify if reduction RE is a simple one.  */
+
+void
+loop_cand::classify_simple_reduction (reduction_p re)
+{
+  gimple *producer, *consumer;
+  enum tree_code code;
+  tree lhs, rhs;
+
+  /* Check init variable of reduction and how it is initialized.  */
+  if (TREE_CODE (re->init) == SSA_NAME)
+    {
+      producer = SSA_NAME_DEF_STMT (re->init);
+      re->producer = producer;
+      basic_block bb = gimple_bb (producer);
+      if (!bb || bb->loop_father != outer)
+       return;
+
+      if (!is_gimple_assign (producer))
+       return;
+
+      code = gimple_assign_rhs_code (producer);
+      if (get_gimple_rhs_class (code) != GIMPLE_SINGLE_RHS)
+       return;
+
+      if ((lhs = gimple_assign_lhs (producer)) == NULL_TREE
+         || lhs != re->init)
+       return;
+
+      if ((rhs = gimple_assign_rhs1 (producer)) == NULL_TREE
+         || !REFERENCE_CLASS_P (rhs))
+       return;
+
+      re->init_ref = rhs;
+    }
+  else if (!CONSTANT_CLASS_P (re->init))
+    return;
+
+  /* Check how reduction variable is used.  Note usually reduction variable
+     is used outside of its defining loop, we don't require that in terms
+     loop interchange.  */
+  if (re->lcssa_phi == NULL)
+    consumer = single_use_in_loop (re->next, loop);
+  else
+    consumer = single_use_in_loop (PHI_RESULT (re->lcssa_phi), outer);
+
+  if (consumer == NULL)
+    return;
+
+  re->consumer = consumer;
+
+  if (!is_gimple_assign (consumer))
+    return;
+
+  code = gimple_assign_rhs_code (consumer);
+  if (get_gimple_rhs_class (code) != GIMPLE_SINGLE_RHS)
+    return;
+
+  if ((rhs = gimple_assign_rhs1 (consumer)) == NULL_TREE
+      || rhs != PHI_RESULT (re->lcssa_phi))
+    return;
+
+  if ((lhs = gimple_assign_lhs (consumer)) == NULL_TREE
+      || !REFERENCE_CLASS_P (lhs))
+    return;
+
+  re->fini_ref = lhs;
+
+  /* Simple reduction with constant initializer.  */
+  if (re->init_ref == NULL_TREE)
+    {
+      gcc_assert (CONSTANT_CLASS_P (re->init));
+      re->init_ref = unshare_expr (re->fini_ref);
+    }
+
+  /* Require memory references in producer and consumer are the same so
+     that we can undo reduction during interchange.  */
+  if (re->init_ref && !operand_equal_p (re->init_ref, re->fini_ref, 0))
+    return;
+
+  re->type = SIMPLE_RTYPE;
+}
+
+/* Analyze reduction variable VAR.  ILOOP is not NULL if current loop_cand
+   is outer loop in loop nest.  Return true if analysis succeeds.  */
+
+bool
+loop_cand::analyze_reduction_var (loop_cand *iloop, tree var)
+{
+  if (iloop != NULL)
+    return analyze_oloop_reduction_var (iloop, var);
+  else
+    return analyze_iloop_reduction_var (var);
+}
+
+/* Analyze reduction variable VAR for inner loop of the loop nest to be
+   interchanged.  Return true if analysis succeeds.  */
+
+bool
+loop_cand::analyze_iloop_reduction_var (tree var)
+{
+  gphi *phi = as_a <gphi *> (SSA_NAME_DEF_STMT (var));
+  gphi *lcssa_phi = NULL, *use_phi;
+  tree init = PHI_ARG_DEF_FROM_EDGE (phi, loop_preheader_edge (loop));
+  tree next = PHI_ARG_DEF_FROM_EDGE (phi, loop_latch_edge (loop));
+  edge e = single_exit (loop);
+  reduction_p re;
+  gimple *stmt, *next_def, *single_use = NULL;
+  use_operand_p use_p;
+  imm_use_iterator iterator;
+
+  if (TREE_CODE (next) != SSA_NAME)
+    return false;
+
+  next_def = SSA_NAME_DEF_STMT (next);
+  basic_block bb = gimple_bb (next_def);
+  if (!bb || !flow_bb_inside_loop_p (loop, bb))
+    return false;
+
+  /* In restricted reduction, the var is (and must be) used in defining
+     the updated var.  The process can be depicted as below:
+
+               var ;; = PHI<init, next>
+                |
+                |
+                v
+      +---------------------+
+      | reduction operators | <-- other operands
+      +---------------------+
+                |
+                |
+                v
+               next
+
+     In terms loop interchange, we don't change how NEXT is computed based
+     on VAR and OTHER OPERANDS.  In case of double reduction in loop nest
+     to be interchanged, we don't changed it at all.  In the case of simple
+     reduction in inner loop, we only make change how VAR/NEXT is loaded or
+     stored.  With these conditions, we can relax restrictions on reduction
+     in a way that reduction operation is seen as black box.  In general,
+     we can ignore reassociation of reduction operator; we can handle fake
+     reductions in which VAR is not even used to compute NEXT.  */
+  FOR_EACH_IMM_USE_FAST (use_p, iterator, var)
+    {
+      stmt = USE_STMT (use_p);
+      if (is_gimple_debug (stmt))
+       continue;
+
+      if (!flow_bb_inside_loop_p (loop, gimple_bb (stmt)))
+       return false;
+
+      if (single_use != NULL)
+       return false;
+
+      single_use = stmt;
+    }
+
+  if (single_use != next_def
+      && !stmt_dominates_stmt_p (single_use, next_def))
+    return false;
+
+  /* Only support cases in which INIT is used in inner loop.  */
+  if (TREE_CODE (init) == SSA_NAME)
+    FOR_EACH_IMM_USE_FAST (use_p, iterator, init)
+      {
+       stmt = USE_STMT (use_p);
+       if (is_gimple_debug (stmt))
+         continue;
+
+       if (!flow_bb_inside_loop_p (loop, gimple_bb (stmt)))
+         return false;
+      }
+
+  FOR_EACH_IMM_USE_FAST (use_p, iterator, next)
+    {
+      stmt = USE_STMT (use_p);
+      if (is_gimple_debug (stmt))
+       continue;
+
+      /* Or else it's used in PHI itself.  */
+      use_phi = NULL;
+      if (is_a <gphi *> (stmt)
+         && (use_phi = as_a <gphi *> (stmt)) != NULL
+         && use_phi == phi)
+       continue;
+
+      if (use_phi != NULL
+         && lcssa_phi == NULL
+         && gimple_bb (stmt) == e->dest
+         && PHI_ARG_DEF_FROM_EDGE (use_phi, e) == next)
+       lcssa_phi = use_phi;
+      else
+       return false;
+    }
+  re = XCNEW (struct reduction);
+  re->var = var;
+  re->init = init;
+  re->next = next;
+  re->phi = phi;
+  re->lcssa_phi = lcssa_phi;
+
+  classify_simple_reduction (re);
+
+  if (dump_file && (dump_flags & TDF_DETAILS))
+    dump_reduction (re);
+
+  reductions.safe_push (re);
+  return true;
+}
+
+/* Analyze reduction variable VAR for outer loop of the loop nest to be
+   interchanged.  ILOOP is not NULL and points to inner loop.  For the
+   moment, we only support double reduction for outer loop, like:
+
+     for (int i = 0; i < n; i++)
+       {
+        int sum = 0;
+
+        for (int j = 0; j < n; j++)    // outer loop
+          for (int k = 0; k < n; k++)  // inner loop
+            sum += a[i][k]*b[k][j];
+
+        s[i] = sum;
+       }
+
+   Note the innermost two loops are the loop nest to be interchanged.
+   Return true if analysis succeeds.  */
+
+bool
+loop_cand::analyze_oloop_reduction_var (loop_cand *iloop, tree var)
+{
+  gphi *phi = as_a <gphi *> (SSA_NAME_DEF_STMT (var));
+  gphi *lcssa_phi = NULL, *use_phi;
+  tree init = PHI_ARG_DEF_FROM_EDGE (phi, loop_preheader_edge (loop));
+  tree next = PHI_ARG_DEF_FROM_EDGE (phi, loop_latch_edge (loop));
+  edge e = single_exit (loop);
+  reduction_p re;
+  gimple *stmt, *next_def;
+  use_operand_p use_p;
+  imm_use_iterator iterator;
+
+  if (TREE_CODE (next) != SSA_NAME)
+    return false;
+
+  next_def = SSA_NAME_DEF_STMT (next);
+  basic_block bb = gimple_bb (next_def);
+  if (!bb || !flow_bb_inside_loop_p (loop, bb))
+    return false;
+
+  /* Find inner loop's simple reduction that uses var as initializer.  */
+  reduction_p inner_re = iloop->find_reduction_by_init (var);
+  if (inner_re == NULL
+      || inner_re->type != UNKNOWN_RTYPE
+      || inner_re->producer != phi)
+    return false;
+
+  /* In case of double reduction, outer loop's reduction should be updated
+     by inner loop's simple reduction.  */
+  if (next_def != inner_re->lcssa_phi)
+    return false;
+
+  /* Outer loop's reduction should only be used to initialize inner loop's
+     simple reduction.  */
+  FOR_EACH_IMM_USE_FAST (use_p, iterator, var)
+    {
+      stmt = USE_STMT (use_p);
+      if (is_gimple_debug (stmt))
+       continue;
+
+      if (!flow_bb_inside_loop_p (loop, gimple_bb (stmt)))
+       return false;
+
+      if (! is_a <gphi *> (stmt)
+         || (use_phi = as_a <gphi *> (stmt)) == NULL
+         || use_phi != inner_re->phi)
+       return false;
+    }
+
+  /* Check this reduction is correctly used outside of loop via lcssa phi.  */
+  FOR_EACH_IMM_USE_FAST (use_p, iterator, next)
+    {
+      stmt = USE_STMT (use_p);
+      if (is_gimple_debug (stmt))
+       continue;
+
+      /* Or else it's used in PHI itself.  */
+      use_phi = NULL;
+      if (is_a <gphi *> (stmt)
+         && (use_phi = as_a <gphi *> (stmt)) != NULL
+         && use_phi == phi)
+       continue;
+
+      if (lcssa_phi == NULL
+         && use_phi != NULL
+         && gimple_bb (stmt) == e->dest
+         && PHI_ARG_DEF_FROM_EDGE (use_phi, e) == next)
+       lcssa_phi = use_phi;
+      else
+       return false;
+    }
+
+  re = XCNEW (struct reduction);
+  re->var = var;
+  re->init = init;
+  re->next = next;
+  re->phi = phi;
+  re->lcssa_phi = lcssa_phi;
+  re->type = DOUBLE_RTYPE;
+  inner_re->type = DOUBLE_RTYPE;
+
+  if (dump_file && (dump_flags & TDF_DETAILS))
+    dump_reduction (re);
+
+  reductions.safe_push (re);
+  return true;
+}
+
+/* Return true if VAR is induction variable of current loop whose scev is
+   specified by CHREC.  */
+
+bool
+loop_cand::analyze_induction_var (tree var, tree chrec)
+{
+  gphi *phi = as_a <gphi *> (SSA_NAME_DEF_STMT (var));
+  tree init = PHI_ARG_DEF_FROM_EDGE (phi, loop_preheader_edge (loop));
+
+  /* Var is loop invariant, though it's unlikely to happen.  */
+  if (tree_does_not_contain_chrecs (chrec))
+    {
+      struct induction *iv = XCNEW (struct induction);
+      iv->var = var;
+      iv->init = init;
+      iv->base = chrec;
+      iv->step = build_int_cst (TREE_TYPE (chrec), 0);
+      inductions.safe_push (iv);
+      return true;
+    }
+
+  if (TREE_CODE (chrec) != POLYNOMIAL_CHREC
+      || CHREC_VARIABLE (chrec) != (unsigned) loop->num
+      || tree_contains_chrecs (CHREC_LEFT (chrec), NULL)
+      || tree_contains_chrecs (CHREC_RIGHT (chrec), NULL))
+    return false;
+
+  struct induction *iv = XCNEW (struct induction);
+  iv->var = var;
+  iv->init = init;
+  iv->base = CHREC_LEFT (chrec);
+  iv->step = CHREC_RIGHT (chrec);
+
+  if (dump_file && (dump_flags & TDF_DETAILS))
+    dump_induction (loop, iv);
+
+  inductions.safe_push (iv);
+  return true;
+}
+
+/* Return true if all loop carried variables defined in loop header can
+   be successfully analyzed.  */
+
+bool
+loop_cand::analyze_carried_vars (loop_cand *iloop)
+{
+  edge e = loop_preheader_edge (outer);
+  gphi_iterator gsi;
+
+  if (dump_file && (dump_flags & TDF_DETAILS))
+    fprintf (dump_file, "\nLoop(%d) carried vars:\n", loop->num);
+
+  for (gsi = gsi_start_phis (loop->header); !gsi_end_p (gsi); gsi_next (&gsi))
+    {
+      gphi *phi = gsi.phi ();
+
+      if (unsupported_phi_node (phi))
+       return false;
+
+      tree var = PHI_RESULT (phi);
+      if (virtual_operand_p (var))
+       continue;
+
+      tree chrec = analyze_scalar_evolution (loop, var);
+      chrec = instantiate_scev (e, loop, chrec);
+
+      /* Analyze var as reduction variable.  */
+      if (chrec_contains_undetermined (chrec)
+         || chrec_contains_symbols_defined_in_loop (chrec, outer->num))
+       {
+         if (!analyze_reduction_var (iloop, var))
+           return false;
+       }
+      /* Analyze var as induction variable.  */
+      else if (!analyze_induction_var (var, chrec))
+       return false;
+    }
+
+  return true;
+}
+
+/* Return TRUE if loop closed PHI nodes can be analyzed successfully.  */
+
+bool
+loop_cand::analyze_lcssa_phis (void)
+{
+  edge e = single_exit (loop);
+  gphi_iterator gsi;
+
+  for (gsi = gsi_start_phis (e->dest); !gsi_end_p (gsi); gsi_next (&gsi))
+    {
+      gphi *phi = gsi.phi ();
+
+      if (unsupported_phi_node (phi))
+       return false;
+
+      if (virtual_operand_p (PHI_RESULT (phi)))
+       continue;
+
+      /* TODO: We only support lcssa phi for reduction for now.  */
+      if (!find_reduction_by_stmt (phi))
+       return false;
+    }
+
+  return true;
+}
+
+/* Find all stmts on which CONSUMER depends in basic block BB, put the
+   result stmts in sequence STMTS.  */
+
+static void
+find_deps_in_bb_for_stmt (gimple_seq *stmts, basic_block bb, gimple *consumer)
+{
+  auto_vec<gimple *> worklist;
+  use_operand_p use_p;
+  ssa_op_iter iter;
+  gimple *stmt;
+
+  worklist.safe_push (consumer);
+  while (!worklist.is_empty ())
+    {
+      stmt = worklist.pop ();
+      FOR_EACH_SSA_USE_OPERAND (use_p, stmt, iter, SSA_OP_USE)
+       {
+         gimple *def_stmt = SSA_NAME_DEF_STMT (USE_FROM_PTR (use_p));
+
+         if (is_a <gphi *> (def_stmt))
+           continue;
+
+         if (gimple_bb (def_stmt) != bb)
+           continue;
+
+         if (gimple_plf (def_stmt, GF_PLF_1))
+           continue;
+
+         worklist.safe_push (def_stmt);
+       }
+      gimple_set_plf (stmt, GF_PLF_1, true);
+    }
+  for (gimple_stmt_iterator gsi = gsi_start_bb_nondebug (bb); !gsi_end_p 
(gsi);)
+    {
+      stmt = gsi_stmt (gsi);
+      if (stmt == consumer)
+       break;
+      if (gimple_plf (stmt, GF_PLF_1))
+       {
+         gsi_remove (&gsi, false, false);
+         gimple_seq_add_stmt (stmts, stmt);
+       }
+      else
+       gsi_next_nondebug (&gsi);
+    }
+}
+
+/* Given inner loop with simple reduction as below:
+
+   for (i = 0; i < N; i++)
+     for (j = 0; j < N; j++)
+       {
+        int red = c[i][j];           // producer
+        for (k = 0; k < N; k++)
+          red += a[i][k] * b[k][j];
+
+        c[i][j] = red;               // consumer
+       }
+
+   This function undo the reduction and generates below loop nest:
+
+   for (i = 0; i < N; i++)
+     for (j = 0; j < N; j++)
+       {
+        for (k = 0; k < N; k++)
+          c[i][j] += a[i][k] * b[k][j];
+       }
+
+   This basically reverts transformation done by LIM or PRE.  */
+
+void
+loop_cand::undo_simple_reduction (reduction_p re)
+{
+  gimple *phi = SSA_NAME_DEF_STMT (re->var);
+  gimple_stmt_iterator from, gsi = gsi_after_labels (loop->header);
+
+  if (re->producer != NULL)
+    {
+      /* Move producer stmt into inner loop.  */
+      if (gimple_vuse (re->producer))
+       gimple_set_vuse (re->producer, NULL_TREE);
+      reset_debug_uses (re->producer);
+      gimple_assign_set_lhs (re->producer, re->var);
+      update_stmt(re->producer);
+      from = gsi_for_stmt (re->producer);
+      gsi_remove (&from, false, false);
+      gsi_insert_before (&gsi, re->producer, GSI_SAME_STMT);
+
+      /* Replace all uses of init in loop.  */
+      gcc_assert (TREE_CODE (re->init) == SSA_NAME);
+      gimple *stmt;
+      use_operand_p use_p;
+      imm_use_iterator iterator;
+      FOR_EACH_IMM_USE_STMT (stmt, iterator, re->init)
+       {
+         FOR_EACH_IMM_USE_ON_STMT (use_p, iterator)
+           SET_USE (use_p, re->var);
+
+         update_stmt (stmt);
+       }
+    }
+  else
+    {
+      /* Transform simple reduction of below form:
+
+          init = 0;
+          loop:
+            var = phi<init, next>
+            next = var op ...
+          reduc_sum = phi<next>
+          MEM_REF[...] = reduc_sum
+
+        into:
+
+          init = 0;
+          loop:
+            tmp = MEM_REF[...]
+            var = !first_iteration ? tmp : init
+            next = var op ...
+            MEM_REF[...] = next
+          reduc_sum = phi<next>
+
+        Note constant init value is used in the first iteration.  */
+
+      /* Find all stmts on which consumer depends because we generate new
+        load stmt to TMP.  */
+      gimple_seq stmts = NULL;
+      find_deps_in_bb_for_stmt (&stmts, gimple_bb (re->consumer), 
re->consumer);
+
+      /* Generate stmt loading from mem reference to TMP variable.  */
+      tree tmp = copy_ssa_name (re->var);
+      gimple *stmt = gimple_build_assign (tmp, re->init_ref);
+      gimple_seq_add_stmt (&stmts, stmt);
+
+      /* Generate cond stmt so that constant init value is used in the first
+        iteration.  */
+      induction_p iv = inductions[0];
+      tree cond = fold_build2 (NE_EXPR, boolean_type_node, iv->var, iv->init);
+      stmt = gimple_build_assign (re->var, COND_EXPR, cond, tmp, re->init);
+      gimple_seq_add_stmt (&stmts, stmt);
+
+      gsi_insert_seq_before (&gsi, stmts, GSI_SAME_STMT);
+    }
+
+  /* Delete loop header PHI node of reduction.  */
+  gsi = gsi_for_stmt (phi);
+  gsi_remove (&gsi, true);
+
+  /* Move consumer stmt into inner loop, just after its def.  */
+  if (gimple_vdef (re->consumer))
+    gimple_set_vuse (re->consumer, NULL_TREE);
+  if (gimple_vuse (re->consumer))
+    gimple_set_vuse (re->consumer, NULL_TREE);
+  gimple_assign_set_rhs1 (re->consumer, re->next);
+  update_stmt (re->consumer);
+  from = gsi_for_stmt (re->consumer);
+  gsi = gsi_for_stmt (SSA_NAME_DEF_STMT (re->next));
+  gsi_remove (&from, false, false);
+  gsi_insert_after (&gsi, re->consumer, GSI_NEW_STMT);
+
+  /* Delete loop closed PHI node of reduction.  */
+  gsi = gsi_for_stmt (re->lcssa_phi);
+  reset_debug_uses (re->lcssa_phi);
+  gsi_remove (&gsi, true);
+}
+
+/* Eliminate dead code after loop interchange.  */
+
+void
+loop_cand::eliminate_dead_code (void)
+{
+  /* Check basic blocks other than loop header/exit.  */
+  for (unsigned i = 0; i < loop->num_nodes; i++)
+    {
+      basic_block bb = bbs[i];
+
+      /* Skip basic blocks of inner loops.  */
+      if (bb->loop_father != loop)
+       continue;
+
+      for (gimple_stmt_iterator gsi = gsi_start_bb (bb); !gsi_end_p (gsi);)
+       {
+         tree lhs;
+         gimple *stmt = gsi_stmt (gsi);
+
+         /* Given copy propagation is done during interchange, we can
+            simply check zero uses of var and eliminate it.  */
+         if (is_gimple_assign (stmt)
+             && !gimple_vuse (stmt)
+             && !gimple_has_volatile_ops (stmt)
+             && !gimple_has_side_effects (stmt)
+             && (lhs = gimple_assign_lhs (stmt)) != NULL_TREE
+             && TREE_CODE (lhs) == SSA_NAME
+             && has_zero_uses (lhs))
+           gsi_remove (&gsi, true);
+         else
+           gsi_next (&gsi);
+       }
+    }
+}
+
+/* Free DATAREFS and its auxiliary memory.  */
+
+static void
+free_data_refs_with_aux (vec<data_reference_p> datarefs)
+{
+  data_reference_p dr;
+  for (unsigned i = 0; datarefs.iterate (i, &dr); ++i)
+    if (dr->aux != NULL)
+      {
+       DR_ACCESS_STRIDE (dr)->release ();
+       free (dr->aux);
+      }
+
+  free_data_refs (datarefs);
+}
+
+/* Class for loop interchange transformation.  */
+
+class tree_loop_interchange
+{
+public:
+  tree_loop_interchange (vec<loop_p> loop_nest,
+                        vec<data_reference_p> datarefs, vec<ddr_p> ddrs)
+    : loop_nest (loop_nest), datarefs (datarefs),
+      ddrs (ddrs), niters_iv_var (NULL_TREE) { }
+  ~tree_loop_interchange () {
+    free_dependence_relations (ddrs);
+    free_data_refs_with_aux (datarefs);
+    loop_nest.release ();
+  }
+  bool interchange ();
+
+private:
+  void update_data_refs (unsigned, unsigned);
+  void update_data_deps (unsigned, unsigned);
+  bool valid_data_dependences (unsigned, unsigned);
+  bool can_interchange_loops (loop_cand &, loop_cand &);
+  void interchange_loops (loop_cand &, loop_cand &);
+  void interchange_reductions (loop_cand &, loop_cand &);
+  void interchange_inductions (loop_cand &, loop_cand &);
+  void map_inductions_to_loop (loop_cand &, loop_cand &);
+  void move_code_to_inner_loop (struct loop *, struct loop *, basic_block *);
+
+  /* Vector of the loop nest.  */
+  vec<struct loop *> loop_nest;
+  /* Vector of data references in loop nest.  */
+  vec<data_reference_p> datarefs;
+  /* Vector of data dependence relations in loop nest.  */
+  vec<ddr_p> ddrs;
+
+  /* We create new IV which is only used in loop's exit condition check.
+     In case of 3-level loop nest interchange, when we interchange the
+     innermost two loops, new IV created in the middle level loop does
+     not need to be preserved in interchanging the outermost two loops
+     later.  We record the IV so that it can be skipped.  */
+  tree niters_iv_var;
+};
+
+/* Update data refs' access stride after interchanging loops.  I_IDX/O_IDX
+   gives index of interchanged loops in loop nest.  */
+
+void
+tree_loop_interchange::update_data_refs (unsigned i_idx, unsigned o_idx)
+{
+  struct data_reference *dr;
+  for (unsigned i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      vec<tree> *stride = DR_ACCESS_STRIDE (dr);
+      gcc_assert (stride->length () > i_idx);
+      std::swap ((*stride)[i_idx], (*stride)[o_idx]);
+    }
+}
+
+/* Update data dependence relations after interchanging loops.  I_IDX/O_IDX
+   gives index of interchanged loops in loop nest, they are used to access
+   DIST_MATRIX.  */
+
+void
+tree_loop_interchange::update_data_deps (unsigned i_idx, unsigned o_idx)
+{
+  struct data_dependence_relation *ddr;
+
+  for (unsigned i = 0; ddrs.iterate (i, &ddr); ++i)
+    {
+      /* Skip no-dependence case.  */
+      if (DDR_ARE_DEPENDENT (ddr) == chrec_known)
+       continue;
+
+      for (unsigned j = 0; j < DDR_NUM_DIST_VECTS (ddr); ++j)
+       {
+         lambda_vector dist_vect = DDR_DIST_VECT (ddr, j);
+         std::swap (dist_vect[i_idx], dist_vect[o_idx]);
+       }
+    }
+}
+
+/* Check data dependence relations, return TRUE if it's valid to interchange
+   two loops specified by I_IDX/O_IDX.  Theoretically, interchanging the two
+   loops is valid only if dist vector, after interchanging, doesn't have '>'
+   as the leftmost non-'=' direction.  Practically, this function have been
+   conservative here by not checking some valid cases.  */
+
+bool
+tree_loop_interchange::valid_data_dependences (unsigned i_idx, unsigned o_idx)
+{
+  struct data_dependence_relation *ddr;
+
+  for (unsigned i = 0; ddrs.iterate (i, &ddr); ++i)
+    {
+      /* Skip no-dependence case.  */
+      if (DDR_ARE_DEPENDENT (ddr) == chrec_known)
+       continue;
+
+      for (unsigned j = 0; j < DDR_NUM_DIST_VECTS (ddr); ++j)
+       {
+         lambda_vector dist_vect = DDR_DIST_VECT (ddr, j);
+         unsigned level = dependence_level (dist_vect, loop_nest.length ());
+
+         /* If there is no carried dependence.  */
+         if (level == 0)
+           continue;
+
+         level --;
+
+         /* If dependence is not carried by any loop in between the two
+            loops [oloop, iloop] to interchange.  */
+         if (level < o_idx || level > i_idx)
+           continue;
+
+         /* Be conservative, skip case if either direction at i_idx/o_idx
+            levels is not '=' or '<'.  */
+         if (dist_vect[i_idx] < 0 || dist_vect[o_idx] < 0)
+           return false;
+       }
+    }
+
+  return true;
+}
+
+/* Return true if ILOOP and OLOOP can be interchanged in terms of code
+   transformation.  */
+
+bool
+tree_loop_interchange::can_interchange_loops (loop_cand &iloop,
+                                             loop_cand &oloop)
+{
+  return (iloop.analyze_carried_vars (NULL)
+         && iloop.analyze_lcssa_phis ()
+         && oloop.analyze_carried_vars (&iloop)
+         && oloop.analyze_lcssa_phis ()
+         && iloop.can_interchange_p (NULL)
+         && oloop.can_interchange_p (&iloop));
+}
+
+/* Interchange niters info of ILOOP and OLOOP while reset any other niters
+   estimates information for now.  */
+
+static inline void
+interchange_nb_iterations (struct loop *iloop, struct loop *oloop)
+{
+  tree nb_iterations = oloop->nb_iterations;
+
+  oloop->any_upper_bound = false;
+  oloop->any_likely_upper_bound = false;
+  free_numbers_of_iterations_estimates (oloop);
+
+  oloop->nb_iterations = iloop->nb_iterations;
+
+  iloop->any_upper_bound = false;
+  iloop->any_likely_upper_bound = false;
+  free_numbers_of_iterations_estimates (iloop);
+
+  iloop->nb_iterations = nb_iterations;
+}
+
+/* Interchange two loops specified by ILOOP and OLOOP.  */
+
+void
+tree_loop_interchange::interchange_loops (loop_cand &iloop, loop_cand &oloop)
+{
+  interchange_reductions (iloop, oloop);
+  interchange_inductions (iloop, oloop);
+
+  interchange_nb_iterations (iloop.loop, oloop.loop);
+
+  iloop.eliminate_dead_code ();
+}
+
+/* If STMT is a debug stmt that uses VAR, mark pass local flag if it only
+   refers to VAR, otherwise, remove the stmt.  */
+
+static inline void
+mark_or_remove_dbg_stmt (gimple *stmt, tree var)
+{
+  if (!is_gimple_debug (stmt))
+    return;
+
+  tree t = SINGLE_SSA_TREE_OPERAND (stmt, SSA_OP_USE);
+  if (t == var)
+    gimple_set_plf (stmt, GF_PLF_1, true);
+  else
+    {
+      gimple_stmt_iterator gsi = gsi_for_stmt (stmt);
+      gsi_remove (&gsi, true);
+    }
+}
+
+/* Interchange transformation for reductions of ILOOP and OLOOP.  We only
+   support two types reductions for now:
+     1) simple reduction of inner loop.
+     2) double reduction of loop nest.
+   For simple reduction, we simply undo it by moving producer/consumer to
+   inner loop; for double reduction, we don't need to do anything.  */
+
+void
+tree_loop_interchange::interchange_reductions (loop_cand &iloop,
+                                              loop_cand &oloop)
+{
+  unsigned i;
+  reduction_p re;
+
+  for (i = 0; iloop.reductions.iterate (i, &re); ++i)
+    {
+      if (re->type == DOUBLE_RTYPE)
+       continue;
+
+      /* Undo simple reductions.  */
+      iloop.undo_simple_reduction (re);
+    }
+
+  for (i = 0; oloop.reductions.iterate (i, &re); ++i)
+    {
+      if (re->type != DOUBLE_RTYPE)
+       gcc_unreachable ();
+
+      use_operand_p use_p;
+      imm_use_iterator iterator;
+      FOR_EACH_IMM_USE_FAST (use_p, iterator, re->var)
+       mark_or_remove_dbg_stmt (USE_STMT (use_p), re->var);
+      FOR_EACH_IMM_USE_FAST (use_p, iterator, re->next)
+       mark_or_remove_dbg_stmt (USE_STMT (use_p), re->next);
+      if (TREE_CODE (re->init) == SSA_NAME)
+       {
+         FOR_EACH_IMM_USE_FAST (use_p, iterator, re->init)
+           mark_or_remove_dbg_stmt (USE_STMT (use_p), re->init);
+       }
+    }
+}
+
+/* Interchange transformation for inductions of ILOOP and OLOOP.  */
+
+void
+tree_loop_interchange::interchange_inductions (loop_cand &iloop,
+                                              loop_cand &oloop)
+{
+  /* Map outer loop's IV to inner loop.  */
+  map_inductions_to_loop (oloop, iloop);
+  /* Map inner loop's IV to outer loop.  */
+  map_inductions_to_loop (iloop, oloop);
+
+  /* Create canonical IV for both loops.  Note canonical IV for outer/inner
+     loop is actually from inner/outer loop.  Also we record the new IV
+     created for the outer loop so that it can be skipped in later loop
+     interchange.  */
+  create_canonical_iv (oloop.loop, single_exit (oloop.loop), iloop.niters,
+                      &niters_iv_var);
+  create_canonical_iv (iloop.loop, single_exit (iloop.loop), oloop.niters);
+}
+
+/* Map induction variables of SRC loop to TGT loop.  The function firstly
+   creates the same IV of SRC loop in TGT loop, then deletes the original
+   IV and re-initialize it using the newly created IV.  For example, loop
+   nest:
+
+     for (i = 0; i < N; i++)
+       for (j = 0; j < M; j++)
+        {
+          //use of i;
+          //use of j;
+        }
+
+   will be transformed into:
+
+     for (jj = 0; jj < M; jj++)
+       for (ii = 0; ii < N; ii++)
+        {
+          //use of ii;
+          //use of jj;
+        }
+
+   after loop interchange.  */
+
+void
+tree_loop_interchange::map_inductions_to_loop (loop_cand &src, loop_cand &tgt)
+{
+  induction_p iv;
+  edge e = single_exit (tgt.loop);
+  gimple_stmt_iterator incr_pos = gsi_last_bb (e->src), gsi;
+  bool move_code_p = flow_loop_nested_p (src.loop, tgt.loop);
+
+  /* Move src's code to tgt loop.  This is necessary when src is the outer
+     loop and tgt is the inner loop.  */
+  if (move_code_p)
+    move_code_to_inner_loop (src.loop, tgt.loop, src.bbs);
+
+  /* Map source loop's IV to target loop.  */
+  for (unsigned i = 0; src.inductions.iterate (i, &iv); ++i)
+    {
+      gimple *stmt = SSA_NAME_DEF_STMT (iv->var);
+      gcc_assert (is_a <gphi *> (stmt));
+
+      /* Delete var definition of the original IV's in the source loop.  */
+      gsi = gsi_for_stmt (stmt);
+      gsi_remove (&gsi, true);
+
+      /* No need to map PHI to target loop if it is created in previous
+        loop interchange.  */
+      if (niters_iv_var == iv->var)
+       {
+         gcc_assert (!move_code_p);
+         continue;
+       }
+
+      /* Map the IV by creating the same one in target loop.  */
+      tree base = unshare_expr (iv->base), step = unshare_expr (iv->step);
+      create_iv (base, step, SSA_NAME_VAR (iv->var),
+                tgt.loop, &incr_pos, false, &iv->mapped_var, NULL);
+
+      /* Replace uses of the original IV var with newly created IV var.  */
+      use_operand_p imm_use_p;
+      imm_use_iterator iterator;
+      FOR_EACH_IMM_USE_STMT (stmt, iterator, iv->var)
+       {
+         FOR_EACH_IMM_USE_ON_STMT (imm_use_p, iterator)
+           SET_USE (imm_use_p, iv->mapped_var);
+
+         update_stmt (stmt);
+       }
+    }
+}
+
+/* Compute the insert position at inner loop when moving code from outer
+   loop to inner one.  */
+
+static inline void
+insert_pos_at_inner_loop (struct loop *outer, struct loop *inner,
+                         basic_block bb, gimple_stmt_iterator *pos)
+{
+  /* Move code from header/latch to header/latch.  */
+  if (bb == outer->header)
+    *pos = gsi_after_labels (inner->header);
+  else if (bb == outer->latch)
+    *pos = gsi_after_labels (inner->latch);
+  else
+    {
+      /* Otherwise, simply move to exit->src.  */
+      edge e = single_exit (inner);
+      *pos = gsi_last_bb (e->src);
+    }
+}
+
+/* Move stmts of outer loop to inner loop.  */
+
+void
+tree_loop_interchange::move_code_to_inner_loop (struct loop *outer,
+                                               struct loop *inner,
+                                               basic_block *outer_bbs)
+{
+  unsigned int i;
+  edge oloop_exit = single_exit (outer);
+  gimple_stmt_iterator insert_pos, gsi;
+
+  for (i = 0; i < outer->num_nodes; i++)
+    {
+      basic_block bb = outer_bbs[i];
+
+      /* Skip basic blocks of inner loop.  */
+      if (flow_bb_inside_loop_p (inner, bb))
+       continue;
+
+      insert_pos_at_inner_loop (outer, inner, bb, &insert_pos);
+      for (gsi = gsi_start_bb (bb); !gsi_end_p (gsi);)
+       {
+         gimple *stmt = gsi_stmt (gsi);
+         if (gimple_code (stmt) == GIMPLE_LABEL)
+           {
+             gsi_next (&gsi);
+             continue;
+           }
+
+         if (oloop_exit->src == bb
+             && stmt == gsi_stmt (gsi_last_bb (oloop_exit->src)))
+           {
+             gsi_next (&gsi);
+             continue;
+           }
+
+         if (gimple_plf (stmt, GF_PLF_1))
+           {
+             gsi_next (&gsi);
+             continue;
+           }
+
+         if (gimple_vuse (stmt))
+           gimple_set_vuse (stmt, NULL_TREE);
+         if (gimple_vdef (stmt))
+           gimple_set_vdef (stmt, NULL_TREE);
+
+         gsi_remove (&gsi, false, false);
+         gsi_insert_before (&insert_pos, stmt, GSI_SAME_STMT);
+       }
+    }
+}
+
+/* Estimate and return the value of EXPR by replacing variables in EXPR
+   with CST_TREE and simplifying.  */
+
+static tree
+estimate_val_by_simplify_replace (tree expr, tree cst_tree)
+{
+  unsigned i, n;
+  tree ret = NULL_TREE, e, se;
+
+  if (!expr)
+    return NULL_TREE;
+
+  /* Do not bother to replace constants.  */
+  if (CONSTANT_CLASS_P (expr))
+    return expr;
+
+  if (!EXPR_P (expr))
+    return cst_tree;
+
+  n = TREE_OPERAND_LENGTH (expr);
+  for (i = 0; i < n; i++)
+    {
+      e = TREE_OPERAND (expr, i);
+      se = estimate_val_by_simplify_replace (e, cst_tree);
+      if (e == se)
+       continue;
+
+      if (!ret)
+       ret = copy_node (expr);
+
+      TREE_OPERAND (ret, i) = se;
+    }
+
+  return (ret ? fold (ret) : expr);
+}
+
+/* Given data reference DR in LOOP_NEST, the function computes DR's access
+   stride at each level of loop from innermost LOOP to outer.  On success,
+   it saves access stride at each level loop in a vector which is pointed
+   by DR->aux.  For example:
+
+     int arr[100][100][100];
+     for (i = 0; i < 100; i++)       ;(DR->aux)strides[0] = 40000
+       for (j = 100; j > 0; j--)     ;(DR->aux)strides[1] = 400
+        for (k = 0; k < 100; k++)   ;(DR->aux)strides[2] = 4
+          arr[i][j - 1][k] = 0;  */
+
+static void
+compute_access_stride (struct loop *loop_nest, struct loop *loop,
+                      data_reference_p dr)
+{
+  vec<tree> *strides = new vec<tree> ();
+  basic_block bb = gimple_bb (DR_STMT (dr));
+
+  while (!flow_bb_inside_loop_p (loop, bb))
+    {
+      strides->safe_push (build_int_cst (sizetype, 0));
+      loop = loop_outer (loop);
+    }
+
+  gcc_assert (loop == bb->loop_father);
+
+  tree ref = DR_REF (dr);
+  tree scev_base = build_fold_addr_expr (ref);
+  tree access_size = TYPE_SIZE_UNIT (TREE_TYPE (ref));
+  tree niters = build_int_cst (sizetype, AVG_LOOP_NITER);
+  access_size = fold_build2 (MULT_EXPR, sizetype, niters, access_size);
+
+  do {
+    tree scev_fn = analyze_scalar_evolution (loop, scev_base);
+    if (chrec_contains_undetermined (scev_fn)
+       || chrec_contains_symbols_defined_in_loop (scev_fn, loop->num))
+      break;
+
+    if (TREE_CODE (scev_fn) != POLYNOMIAL_CHREC)
+      {
+       scev_base = scev_fn;
+       strides->safe_push (build_int_cst (sizetype, 0));
+       continue;
+      }
+
+    scev_base = CHREC_LEFT (scev_fn);
+    if (tree_contains_chrecs (scev_base, NULL))
+      break;
+
+    tree scev_step = fold_convert (sizetype, CHREC_RIGHT (scev_fn));
+
+    enum ev_direction scev_dir = scev_direction (scev_fn);
+    /* Estimate if step isn't constant.  */
+    if (scev_dir == EV_DIR_UNKNOWN)
+      {
+       scev_step = estimate_val_by_simplify_replace (scev_step, niters);
+       if (TREE_CODE (scev_step) != INTEGER_CST
+           || tree_int_cst_lt (scev_step, access_size))
+         scev_step = access_size;
+      }
+    /* Compute absolute value of scev step.  */
+    else if (scev_dir == EV_DIR_DECREASES)
+      scev_step = fold_build1 (NEGATE_EXPR, sizetype, scev_step);
+
+    strides->safe_push (scev_step);
+  } while (loop != loop_nest && (loop = loop_outer (loop)) != NULL);
+
+  dr->aux = strides;
+}
+
+/* Given loop nest LOOP_NEST with innermost LOOP, the function computes
+   access strides with respect to each level loop for all data refs in
+   DATAREFS from inner loop to outer loop.  On success, it returns the
+   outermost loop that access strides can be computed successfully for
+   all data references.  If access strides cannot be computed at least
+   for two levels of loop for any data reference, it returns NULL.  */
+
+static struct loop *
+compute_access_strides (struct loop *loop_nest, struct loop *loop,
+                       vec<data_reference_p> datarefs)
+{
+  unsigned i, j, num_loops = (unsigned) -1;
+  data_reference_p dr;
+  vec<tree> *stride;
+
+  for (i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      compute_access_stride (loop_nest, loop, dr);
+      stride = DR_ACCESS_STRIDE (dr);
+      if (stride->length () < num_loops)
+       {
+         num_loops = stride->length ();
+         if (num_loops < 2)
+           return NULL;
+       }
+    }
+
+  for (i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      stride = DR_ACCESS_STRIDE (dr);
+      if (stride->length () > num_loops)
+       stride->truncate (num_loops);
+
+      for (j = 0; j < (num_loops >> 1); ++j)
+       std::swap ((*stride)[j], (*stride)[num_loops - j - 1]);
+    }
+
+  while (--num_loops > 0)
+    loop = loop_outer (loop);
+
+  gcc_assert (loop_nest == loop || flow_loop_nested_p (loop_nest, loop));
+  return loop;
+}
+
+/* Count and return the number of loops in LOOP_NEST.  */
+
+unsigned int
+num_loops_in_loop_nest (struct loop *loop_nest)
+{
+  unsigned num_loops;
+  for (num_loops = 0; loop_nest; num_loops++, loop_nest = loop_nest->inner)
+    ;
+  return num_loops;
+}
+
+/* Prune access strides for data references in DATAREFS by removing strides
+   of loops that isn't in current LOOP_NEST.  */
+
+static void
+prune_access_strides_not_in_loop (struct loop *loop_nest,
+                                 vec<data_reference_p> datarefs)
+{
+  data_reference_p dr;
+  unsigned num_loops = num_loops_in_loop_nest (loop_nest);
+  gcc_assert (num_loops > 1);
+
+  /* Block remove strides of loops that is not in current loop nest.  */
+  for (unsigned i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      vec<tree> *stride = DR_ACCESS_STRIDE (dr);
+      if (stride->length () > num_loops)
+       stride->block_remove (0, stride->length () - num_loops);
+    }
+}
+
+/* Dump access strides for all DATAREFS.  */
+
+static void
+dump_access_strides (vec<data_reference_p> datarefs)
+{
+  data_reference_p dr;
+  fprintf (dump_file, "Access Strides for DRs:\n");
+  for (unsigned i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      fprintf (dump_file, "  ");
+      print_generic_expr (dump_file, DR_REF (dr), TDF_SLIM);
+      fprintf (dump_file, ":\t\t<");
+
+      vec<tree> *stride = DR_ACCESS_STRIDE (dr);
+      unsigned num_loops = stride->length ();
+      for (unsigned j = 0; j < num_loops; ++j)
+       {
+         print_generic_expr (dump_file, (*stride)[j], TDF_SLIM);
+         fprintf (dump_file, "%s", (j < num_loops - 1) ? ",\t" : ">\n");
+       }
+    }
+}
+
+/* Return true if it's profitable to interchange two loops whose index
+   in whole loop nest vector are I_IDX/O_IDX respectively.  The function
+   computes and compares three types information from all DATAREFS:
+     1) Access stride for loop I_IDX and O_IDX.
+     2) Number of invariant memory references with respect to I_IDX before
+       and after loop interchange.
+     3) Flags indicating if all memory references access sequential memory
+       in ILOOP, before and after loop interchange.
+   If INNMOST_LOOP_P is true, the two loops for interchanging are the two
+   innermost loops in loop nest.  This function also dumps information if
+   DUMP_INFO_P is true.  */
+
+static bool
+should_interchange_loops (unsigned i_idx, unsigned o_idx,
+                         vec<data_reference_p> datarefs,
+                         bool innermost_loops_p, bool dump_info_p = true)
+{
+  unsigned HOST_WIDE_INT ratio;
+  unsigned i, j, num_old_inv_drs = 0, num_new_inv_drs = 0;
+  struct data_reference *dr;
+  bool all_seq_dr_before_p = true, all_seq_dr_after_p = true;
+  widest_int iloop_strides = 0, oloop_strides = 0;
+
+  if (dump_info_p && dump_file && (dump_flags & TDF_DETAILS))
+    fprintf (dump_file, "\nData ref strides:\n\tmem_ref:\t\tiloop\toloop\n");
+
+  for (i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      vec<tree> *stride = DR_ACCESS_STRIDE (dr);
+      tree iloop_stride = (*stride)[i_idx], oloop_stride = (*stride)[o_idx];
+      gcc_assert (TREE_CODE (iloop_stride) == INTEGER_CST);
+      gcc_assert (TREE_CODE (oloop_stride) == INTEGER_CST);
+
+      bool subloop_stride_p = false;
+      for (j = i_idx + 1; j < stride->length (); ++j)
+       if (integer_nonzerop ((*stride)[j]))
+         {
+           subloop_stride_p = true;
+           break;
+         }
+
+      if (integer_nonzerop (iloop_stride))
+       iloop_strides = wi::add (iloop_strides, wi::to_widest (iloop_stride));
+      else if (!subloop_stride_p)
+       num_old_inv_drs++;
+
+      if (integer_nonzerop (oloop_stride))
+       oloop_strides = wi::add (oloop_strides, wi::to_widest (oloop_stride));
+      else if (!subloop_stride_p)
+       num_new_inv_drs++;
+
+      /* Track if all data references access sequential memory before and
+        after loop interchange.  */
+      if (subloop_stride_p)
+       {
+         /* Data ref can't be sequential if it evaluates wrto any sub loop
+            of inner loop.  */
+         all_seq_dr_before_p = false;
+         all_seq_dr_after_p = false;
+       }
+      else
+       {
+         tree access_size = TYPE_SIZE_UNIT (TREE_TYPE (DR_REF (dr)));
+         /* Consider data reference with smaller access stride than the
+            threshold as sequential access.  Note invariant is considered
+            sequential too.  */
+         if (all_seq_dr_before_p
+             && integer_nonzerop (iloop_stride)
+             && wi::gtu_p (wi::to_wide (iloop_stride),
+                           wi::to_wide (access_size)))
+           all_seq_dr_before_p = false;
+         if (all_seq_dr_after_p
+             && integer_nonzerop (oloop_stride)
+             && wi::gtu_p (wi::to_wide (oloop_stride),
+                           wi::to_wide (access_size)))
+           all_seq_dr_after_p = false;
+       }
+    }
+
+  if (dump_info_p && dump_file && (dump_flags & TDF_DETAILS))
+    {
+      fprintf (dump_file, "\toverall:\t\t");
+      print_decu (iloop_strides, dump_file);
+      fprintf (dump_file, "\t");
+      print_decu (oloop_strides, dump_file);
+      fprintf (dump_file, "\n");
+
+      fprintf (dump_file, "Invariant data ref: before(%d), after(%d)\n",
+              num_old_inv_drs, num_new_inv_drs);
+      fprintf (dump_file, "Consecutive stride: before(%s), after(%s)\n",
+              all_seq_dr_before_p ? "true" : "false",
+              all_seq_dr_after_p ? "true" : "false");
+    }
+
+  /* We use different stride comparison ratio for interchanging innermost
+     two loops or not.  The idea is to be conservative in interchange for
+     the innermost loops.  */
+  ratio = innermost_loops_p ? INNER_STRIDE_RATIO : OUTER_STRIDE_RATIO;
+  /* Do interchange if it gives better data locality behavior.  */
+  if (wi::gtu_p (iloop_strides, wi::mul (oloop_strides, ratio)))
+    return true;
+  if (wi::gtu_p (iloop_strides, oloop_strides))
+    {
+      /* Or it creates more invariant memory references.  */
+      if ((!all_seq_dr_before_p || all_seq_dr_after_p)
+         && num_new_inv_drs > num_old_inv_drs)
+       return true;
+      /* Or it makes all memory references sequential.  */
+      if (num_new_inv_drs >= num_old_inv_drs
+         && !all_seq_dr_before_p && all_seq_dr_after_p)
+       return true;
+    }
+
+  return false;
+}
+
+/* Try to interchange inner loop of a loop nest to outer level.  */
+
+bool
+tree_loop_interchange::interchange ()
+{
+  bool changed_p = false;
+  /* In each iteration we try to interchange I-th loop with (I+1)-th loop.
+     The overall effect is to push inner loop to outermost level in whole
+     loop nest.  */
+  for (unsigned i = loop_nest.length (); i > 1; --i)
+    {
+      unsigned i_idx = i - 1, o_idx = i - 2;
+
+      /* Check validity for loop interchange.  */
+      if (!valid_data_dependences (i_idx, o_idx))
+       break;
+
+      loop_cand iloop (i_idx, loop_nest[i_idx], loop_nest[o_idx]);
+      loop_cand oloop (o_idx, loop_nest[o_idx], loop_nest[o_idx]);
+
+      /* Check if we can do transformation for loop interchange.  */
+      if (!can_interchange_loops (iloop, oloop))
+       break;
+
+      /* Check profitability for loop interchange.  */
+      if (should_interchange_loops (i_idx, o_idx, datarefs,
+                                   iloop.loop->inner == NULL))
+       {
+         if (dump_file && (dump_flags & TDF_DETAILS))
+           fprintf (dump_file,
+                    "Loop_pair<outer:%d, inner:%d> is interchanged\n\n",
+                    oloop.loop->num, iloop.loop->num);
+
+         interchange_loops (iloop, oloop);
+         /* No need to update information if there is no further loop
+            interchange.  */
+         if (o_idx > 0)
+           {
+             update_data_refs (i_idx, o_idx);
+             update_data_deps (i_idx, o_idx);
+           }
+         changed_p = true;
+       }
+      else
+       {
+         if (dump_file && (dump_flags & TDF_DETAILS))
+           fprintf (dump_file,
+                    "Loop_pair<outer:%d, inner:%d> is not interchanged\n\n",
+                    oloop.loop->num, iloop.loop->num);
+       }
+    }
+
+  return changed_p;
+}
+
+
+/* Loop interchange pass.  */
+
+namespace {
+
+const pass_data pass_data_linterchange =
+{
+  GIMPLE_PASS, /* type */
+  "linterchange", /* name */
+  OPTGROUP_LOOP, /* optinfo_flags */
+  TV_LINTERCHANGE, /* tv_id */
+  PROP_cfg, /* properties_required */
+  0, /* properties_provided */
+  0, /* properties_destroyed */
+  0, /* todo_flags_start */
+  0, /* todo_flags_finish */
+};
+
+class pass_linterchange : public gimple_opt_pass
+{
+public:
+  pass_linterchange (gcc::context *ctxt)
+    : gimple_opt_pass (pass_data_linterchange, ctxt)
+  {}
+
+  /* opt_pass methods: */
+  opt_pass * clone () { return new pass_linterchange (m_ctxt); }
+  virtual bool gate (function *) { return flag_tree_loop_interchange; }
+  virtual unsigned int execute (function *);
+
+}; // class pass_linterchange
+
+
+/* Return true if LOOP has proper form for interchange.  */
+
+static bool
+proper_loop_form_for_interchange (struct loop *loop)
+{
+  edge e0, e1, exit;
+
+  /* Don't interchange if loop has unsupported information for the moment.  */
+  if (loop->safelen > 0
+      || loop->constraints != 0
+      || loop->can_be_parallel
+      || loop->dont_vectorize
+      || loop->force_vectorize
+      || loop->in_oacc_kernels_region
+      || loop->orig_loop_num != 0
+      || loop->simduid != NULL_TREE)
+    return false;
+
+  /* Don't interchange if outer loop has basic block other than header,
+     exit->src and latch.  In general, only below form of loop nest:
+               header<---+
+                  |       |
+                  v       |
+              INNER_LOOP  |
+                  |       |
+                  v       |
+               exit--->latch
+     is supported.  */
+  if (loop->inner != NULL
+      && loop->num_nodes != loop->inner->num_nodes + 3)
+    return false;
+
+  if ((exit = single_dom_exit (loop)) == NULL)
+    return false;
+
+  /* Check control flow on loop header/exit blocks.  */
+  if (loop->header == exit->src
+      && (EDGE_COUNT (loop->header->preds) != 2
+         || EDGE_COUNT (loop->header->succs) != 2))
+    return false;
+  else if (loop->header != exit->src
+          && (EDGE_COUNT (loop->header->preds) != 2
+              || !single_succ_p (loop->header)
+              || unsupported_edge (single_succ_edge (loop->header))
+              || EDGE_COUNT (exit->src->succs) != 2
+              || !single_pred_p (exit->src)
+              || unsupported_edge (single_pred_edge (exit->src))))
+    return false;
+
+  e0 = EDGE_PRED (loop->header, 0);
+  e1 = EDGE_PRED (loop->header, 1);
+  if (unsupported_edge (e0) || unsupported_edge (e1)
+      || (e0->src != loop->latch && e1->src != loop->latch)
+      || (e0->src->loop_father == loop && e1->src->loop_father == loop))
+    return false;
+
+  e0 = EDGE_SUCC (exit->src, 0);
+  e1 = EDGE_SUCC (exit->src, 1);
+  if (unsupported_edge (e0) || unsupported_edge (e1)
+      || (e0->dest != loop->latch && e1->dest != loop->latch)
+      || (e0->dest->loop_father == loop && e1->dest->loop_father == loop))
+    return false;
+
+  return true;
+}
+
+/* Return true if any two adjacent loops in loop nest OUTERMOST_LOOP should
+   be interchanged by looking into all DATAREFS.  INNERMOST_LOOP is the
+   innermost loop of this loop nest.  */
+
+static bool
+should_interchange_loop_nest (struct loop *outermost_loop,
+                             struct loop *innermost_loop,
+                             vec<data_reference_p> datarefs)
+{
+  unsigned idx = num_loops_in_loop_nest (outermost_loop) - 1;
+  gcc_assert (idx > 0);
+
+  /* Check if any two adjacent loops should be interchanged.  */
+  for (struct loop *loop = innermost_loop;
+       loop != outermost_loop;
+       loop = loop_outer (loop), idx--)
+    if (should_interchange_loops (idx, idx - 1, datarefs,
+                                 loop == innermost_loop, false))
+      return true;
+
+  return false;
+}
+
+/* Given loop nest LOOP_NEST and data references DATAREFS, compute data
+   dependences for loop interchange and store it in DDRS.  Note we compute
+   dependences directly rather than call generic interface so that we can
+   return on unknown dependence instantly.  */
+
+static bool
+tree_loop_interchange_compute_ddrs (vec<loop_p> loop_nest,
+                                   vec<data_reference_p> datarefs,
+                                   vec<ddr_p> *ddrs)
+{
+  struct data_reference *a, *b;
+  struct loop *innermost = loop_nest.last ();
+
+  for (unsigned i = 0; datarefs.iterate (i, &a); ++i)
+    {
+      bool a_outer_p = gimple_bb (DR_STMT (a))->loop_father != innermost;
+      for (unsigned j = i + 1; datarefs.iterate (j, &b); ++j)
+       if (DR_IS_WRITE (a) || DR_IS_WRITE (b))
+         {
+           bool b_outer_p = gimple_bb (DR_STMT (b))->loop_father != innermost;
+           /* Don't support multiple write references in outer loop.  */
+           if (a_outer_p && b_outer_p && DR_IS_WRITE (a) && DR_IS_WRITE (b))
+             return false;
+
+           ddr_p ddr = initialize_data_dependence_relation (a, b, loop_nest);
+           ddrs->safe_push (ddr);
+           compute_affine_dependence (ddr, loop_nest[0]);
+
+           /* Give up if ddr is unknown dependence or classic direct vector
+              is not available.  */
+           if (DDR_ARE_DEPENDENT (ddr) == chrec_dont_know
+               || (DDR_ARE_DEPENDENT (ddr) == NULL_TREE
+                   && DDR_NUM_DIR_VECTS (ddr) == 0))
+             return false;
+
+           /* If either data references is in outer loop of nest, we require
+              no dependence here because the data reference need to be moved
+              into inner loop during interchange.  */
+           if (a_outer_p && b_outer_p
+               && operand_equal_p (DR_REF (a), DR_REF (b), 0))
+             continue;
+           if (DDR_ARE_DEPENDENT (ddr) != chrec_known
+               && (a_outer_p || b_outer_p))
+             return false;
+       }
+    }
+
+  return true;
+}
+
+/* Prune DATAREFS by removing any data reference not inside of LOOP.  */
+
+static inline void
+prune_datarefs_not_in_loop (struct loop *loop, vec<data_reference_p> datarefs)
+{
+  struct data_reference *dr;
+
+  for (unsigned i = 0; datarefs.iterate (i, &dr);)
+    if (flow_bb_inside_loop_p (loop, gimple_bb (DR_STMT (dr))))
+      i++;
+    else
+      {
+       datarefs.ordered_remove (i);
+       if (dr->aux)
+         {
+           DR_ACCESS_STRIDE (dr)->release ();
+           free (dr->aux);
+         }
+       free_data_ref (dr);
+      }
+}
+
+/* Given loop nest like <OLOOP, ILOOP>, the function strips off outer
+   loops if it forms non-rectangle loop nest.  The outermost loop of
+   the rest rectangle loop nest or NULL is returned.  */
+
+struct loop *
+prune_non_rectangle_loop_nest (struct loop *iloop, struct loop *oloop)
+{
+  if (!oloop || !iloop || oloop == iloop)
+    return NULL;
+
+  struct loop *loop1 = iloop;
+
+  while (loop1 != NULL && flow_loop_nested_p (oloop, loop1))
+    {
+      tree niters = number_of_latch_executions (loop1);
+      struct loop *loop2 = loop_outer (loop1);
+
+      while (loop2 != NULL
+            && (loop2 == oloop || flow_loop_nested_p (oloop, loop2)))
+       {
+         /* Strip off the outermost loop if it isn't rectangle loop nest.  */
+         if (chrec_contains_symbols_defined_in_loop (niters, loop2->num))
+           {
+             oloop = loop2->inner;
+             break;
+           }
+
+         loop2 = loop_outer (loop2);
+       }
+      if (oloop == iloop)
+       return NULL;
+
+      loop1 = loop_outer (loop1);
+    }
+
+  return oloop;
+}
+
+/* Clear pass local flag stmts in LOOP.  */
+
+static void
+clear_stmt_flag (struct loop *loop)
+{
+  basic_block *bbs = get_loop_body (loop);
+
+  for (unsigned i = 0; i < loop->num_nodes; i++)
+    {
+      basic_block bb = bbs[i];
+
+      for (gimple_stmt_iterator gsi = gsi_start_bb (bb);
+          !gsi_end_p (gsi); gsi_next (&gsi))
+       gimple_set_plf (gsi_stmt (gsi), GF_PLF_1, false);
+    }
+
+  free (bbs);
+}
+
+/* Return true if number of iterations of any data reference in DATAREFS
+   is different to niters of its loop header.  */
+
+static bool
+dataref_niters_diff_to_loop_header (vec<data_reference_p> datarefs)
+{
+  data_reference_p dr;
+  for (unsigned i = 0; datarefs.iterate (i, &dr); ++i)
+    {
+      basic_block bb = gimple_bb (DR_STMT (dr));
+      struct loop *loop = bb->loop_father;
+      if (!dominated_by_p (CDI_DOMINATORS, single_exit (loop)->src, bb))
+       return true;
+    }
+  return false;
+}
+
+/* Given innermost LOOP, return true if perfect loop nest can be found and
+   data dependences can be computed.  If succeed, record the perfect loop
+   nest in LOOP_NEST; record all data references in DATAREFS and record all
+   data dependence relations in DDRS.
+
+   We do support a restricted form of imperfect loop nest, i.e, loop nest
+   with load/store in outer loop initializing/finalizing simple reduction
+   of the innermost loop.  For such outer loop reference, we require that
+   it has no dependence with others sinve it will be moved to inner loop
+   in interchange.  */
+
+static bool
+prepare_perfect_loop_nest (struct loop *loop, vec<loop_p> *loop_nest,
+                          vec<data_reference_p> *datarefs, vec<ddr_p> *ddrs)
+{
+  tree niters;
+  struct loop *start_loop = NULL, *innermost_loop = loop;
+
+  /* Find loop nest from the innermost loop.  */
+  while (loop->num != 0 && loop->inner == start_loop)
+    {
+      if (!proper_loop_form_for_interchange (loop))
+       break;
+
+      /* Loop must have determined niters.  */
+      niters = number_of_latch_executions (loop);
+      if (!niters || chrec_contains_undetermined (niters))
+       break;
+
+      start_loop = loop;
+      /* If this loop has sibling loop, the father loop won't be in perfect
+        loop nest.  */
+      if (loop->next != NULL)
+       break;
+
+      loop = loop_outer (loop);
+    }
+
+  start_loop = prune_non_rectangle_loop_nest (innermost_loop, start_loop);
+
+  if (!start_loop || !start_loop->inner)
+    return false;
+
+  datarefs->create (20);
+  if (find_data_references_in_loop (start_loop, datarefs) == chrec_dont_know
+      /* Check if there is no data reference.  */
+      || datarefs->length () == 0
+      /* Check if there are too many of data references.  */
+      || ((int) datarefs->length ()
+         > PARAM_VALUE (PARAM_LOOP_MAX_DATAREFS_FOR_DATADEPS))
+      /* Check if there is any data reference in loop latch.  We can't handle
+        loops which loop header and data references have different execution
+        times.  */
+      || dataref_niters_diff_to_loop_header (*datarefs)
+      /* Compute access strides for all data references.  */
+      || ((start_loop = compute_access_strides (start_loop, innermost_loop,
+                                               *datarefs)) == NULL)
+      /* Check if loop nest should be interchanged.  */
+      || !should_interchange_loop_nest (start_loop, innermost_loop, *datarefs))
+    {
+      free_data_refs_with_aux (*datarefs);
+      return false;
+    }
+
+  /* Check if data dependences can be computed for loop nest starting from
+     start_loop.  */
+  loop = start_loop;
+  loop_nest->create (3);
+  do {
+    ddrs->create (20);
+    loop_nest->truncate (0);
+
+    if (loop != start_loop)
+      prune_datarefs_not_in_loop (start_loop, *datarefs);
+
+    if (find_loop_nest (start_loop, loop_nest)
+       && tree_loop_interchange_compute_ddrs (*loop_nest, *datarefs, ddrs))
+      {
+       if (dump_file && (dump_flags & TDF_DETAILS))
+         fprintf (dump_file,
+                  "\nConsider loop interchange for loop_nest<%d - %d>\n",
+                  start_loop->num, innermost_loop->num);
+
+       if (loop != start_loop)
+         prune_access_strides_not_in_loop (start_loop, *datarefs);
+
+       if (dump_file && (dump_flags & TDF_DETAILS))
+         dump_access_strides (*datarefs);
+
+       clear_stmt_flag (start_loop);
+       return true;
+      }
+
+    free_dependence_relations (*ddrs);
+    /* Try to compute data dependences with the outermost loop stripped.  */
+    loop = start_loop;
+    start_loop = start_loop->inner;
+  } while (start_loop && start_loop->inner);
+
+  loop_nest->release ();
+  free_data_refs_with_aux (*datarefs);
+  return false;
+}
+
+/* Main entry for loop interchange pass.  */
+
+unsigned int
+pass_linterchange::execute (function *fun)
+{
+  if (number_of_loops (fun) <= 2)
+    return 0;
+
+  bool changed_p = false;;
+  struct loop *loop;
+  vec<loop_p> loop_nest;
+  vec<data_reference_p> datarefs;
+  vec<ddr_p> ddrs;
+
+  FOR_EACH_LOOP (loop, LI_ONLY_INNERMOST)
+    if (prepare_perfect_loop_nest (loop, &loop_nest, &datarefs, &ddrs))
+      {
+       tree_loop_interchange loop_interchange (loop_nest, datarefs, ddrs);
+       changed_p |= loop_interchange.interchange ();
+      }
+
+  if (changed_p)
+    scev_reset_htab ();
+
+  return changed_p ? (TODO_update_ssa_only_virtuals) : 0;
+}
+
+} // anon namespace
+
+gimple_opt_pass *
+make_pass_linterchange (gcc::context *ctxt)
+{
+  return new pass_linterchange (ctxt);
+}
diff --git a/gcc/tree-ssa-loop-ivcanon.c b/gcc/tree-ssa-loop-ivcanon.c
index 8b1daa6..205534f 100644
--- a/gcc/tree-ssa-loop-ivcanon.c
+++ b/gcc/tree-ssa-loop-ivcanon.c
@@ -76,10 +76,13 @@ enum unroll_level
 };
 
 /* Adds a canonical induction variable to LOOP iterating NITER times.  EXIT
-   is the exit edge whose condition is replaced.  */
+   is the exit edge whose condition is replaced.  The ssa versions of the new
+   IV before and after increment will be stored in VAR_BEFORE and VAR_AFTER
+   if they are not NULL.  */
 
-static void
-create_canonical_iv (struct loop *loop, edge exit, tree niter)
+void
+create_canonical_iv (struct loop *loop, edge exit, tree niter,
+                    tree *var_before = NULL, tree *var_after = NULL)
 {
   edge in;
   tree type, var;
@@ -112,7 +115,9 @@ create_canonical_iv (struct loop *loop, edge exit, tree 
niter)
   create_iv (niter,
             build_int_cst (type, -1),
             NULL_TREE, loop,
-            &incr_at, false, NULL, &var);
+            &incr_at, false, var_before, &var);
+  if (var_after)
+    *var_after = var;
 
   cmp = (exit->flags & EDGE_TRUE_VALUE) ? EQ_EXPR : NE_EXPR;
   gimple_cond_set_code (cond, cmp);
diff --git a/gcc/tree-ssa-loop-ivopts.h b/gcc/tree-ssa-loop-ivopts.h
index bd92051..a723f46 100644
--- a/gcc/tree-ssa-loop-ivopts.h
+++ b/gcc/tree-ssa-loop-ivopts.h
@@ -32,4 +32,6 @@ extern tree strip_offset (tree, unsigned HOST_WIDE_INT *);
 bool may_be_nonaddressable_p (tree expr);
 void tree_ssa_iv_optimize (void);
 
+void create_canonical_iv (struct loop *, edge, tree,
+                         tree * = NULL, tree * = NULL);
 #endif /* GCC_TREE_SSA_LOOP_IVOPTS_H */

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