Hi Jakub,

The last version of this patch was slightly adapted to the latest changes of the
device-specific environment variable syntax
(https://gcc.gnu.org/pipermail/gcc-patches/2022-September/601145.html), also
considering the latest related bug fixes (commits 994ea892bd02d and 
7d37c7f67c1bb).

The new patch version was bootstrapped and tested on x86_64-linux with nvptx and
amdgcn offloading without regressions.

Marcel
-----------------
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München, HRB 106955
This patch adds support for omp_get_max_teams, omp_set_num_teams, and
omp_{gs}et_teams_thread_limit on offload devices. That includes the usage of
device-specific ICV values (specified as environment variables or changed on a
device). In order to reuse device-specific ICV values, a copy back mechanism is
implemented that copies ICV values back from device to the host. 

gcc/ChangeLog:

        * gimplify.cc (optimize_target_teams): Set initial num_teams_upper
        to "-2" instead of "1" for non-existing num_teams clause in order to
        disambiguate from the case of an existing num_teams clause with value 1.

libgomp/ChangeLog:

        * config/gcn/icv-device.c (omp_get_teams_thread_limit): Added to
        allow processing of device-specific values.
        (omp_set_teams_thread_limit): Likewise.
        (ialias): Likewise.
        * config/nvptx/icv-device.c (omp_get_teams_thread_limit): Likewise.
        (omp_set_teams_thread_limit): Likewise.
        (ialias): Likewise.
        * icv-device.c (omp_get_teams_thread_limit): Likewise.
        (ialias): Likewise.
        (omp_set_teams_thread_limit): Likewise.
        * icv.c (omp_set_teams_thread_limit): Removed.
        (omp_get_teams_thread_limit): Likewise.
        (ialias): Likewise.
        * target.c (get_gomp_offload_icvs): Added teams_thread_limit_var
        handling.
        (gomp_load_image_to_device): Added a size check for the ICVs struct
        variable.
        (gomp_copy_back_icvs): New function that is used in GOMP_target_ext to
        copy back the ICV values from device to host.
        (GOMP_target_ext): Update the number of teams and threads in the kernel
        args also considering device-specific values.
        * testsuite/libgomp.c-c++-common/icv-4.c: Bugfix.
        * testsuite/libgomp.c-c++-common/icv-5.c: Extended.
        * testsuite/libgomp.c-c++-common/icv-6.c: Extended.
        * testsuite/libgomp.c-c++-common/icv-7.c: Extended.
        * testsuite/libgomp.c-c++-common/icv-9.c: New test.
        * testsuite/libgomp.fortran/icv-5.f90: New test.
        * testsuite/libgomp.fortran/icv-6.f90: New test.

gcc/testsuite/ChangeLog:

        * c-c++-common/gomp/target-teams-1.c: Adapt expected values for
        num_teams from "1" to "-2" in cases without num_teams clause.
        * g++.dg/gomp/target-teams-1.C: Likewise.
        * gfortran.dg/gomp/defaultmap-4.f90: Likewise.
        * gfortran.dg/gomp/defaultmap-5.f90: Likewise.
        * gfortran.dg/gomp/defaultmap-6.f90: Likewise.

diff --git a/gcc/gimplify.cc b/gcc/gimplify.cc
index dcdc852..b393ed8 100644
--- a/gcc/gimplify.cc
+++ b/gcc/gimplify.cc
@@ -14153,7 +14153,7 @@ optimize_target_teams (tree target, gimple_seq *pre_p)
   struct gimplify_omp_ctx *target_ctx = gimplify_omp_ctxp;
 
   if (teams == NULL_TREE)
-    num_teams_upper = integer_one_node;
+    num_teams_upper = build_int_cst (integer_type_node, -2);
   else
     for (c = OMP_TEAMS_CLAUSES (teams); c; c = OMP_CLAUSE_CHAIN (c))
       {
diff --git a/gcc/testsuite/c-c++-common/gomp/target-teams-1.c 
b/gcc/testsuite/c-c++-common/gomp/target-teams-1.c
index 51b8d48..74d60e1 100644
--- a/gcc/testsuite/c-c++-common/gomp/target-teams-1.c
+++ b/gcc/testsuite/c-c++-common/gomp/target-teams-1.c
@@ -81,5 +81,5 @@ foo (int a, int b, long c, long d)
 /* { dg-final { scan-tree-dump-times "thread_limit\\(-1\\)" 3 "gimple" } } */
 /* { dg-final { scan-tree-dump-times "num_teams\\(0\\)" 4 "gimple" } } */
 /* { dg-final { scan-tree-dump-times "thread_limit\\(0\\)" 6 "gimple" } } */
-/* { dg-final { scan-tree-dump-times "num_teams\\(1\\)" 2 "gimple" } } */
+/* { dg-final { scan-tree-dump-times "num_teams\\(-2\\)" 2 "gimple" } } */
 /* { dg-final { scan-tree-dump-times "thread_limit\\(1\\)" 0 "gimple" } } */
diff --git a/gcc/testsuite/g++.dg/gomp/target-teams-1.C 
b/gcc/testsuite/g++.dg/gomp/target-teams-1.C
index f78a608..29e5597 100644
--- a/gcc/testsuite/g++.dg/gomp/target-teams-1.C
+++ b/gcc/testsuite/g++.dg/gomp/target-teams-1.C
@@ -88,5 +88,5 @@ foo (int a, int b, long c, long d)
 /* { dg-final { scan-tree-dump-times "thread_limit\\(-1\\)" 3 "gimple" } } */
 /* { dg-final { scan-tree-dump-times "num_teams\\(0\\)" 4 "gimple" } } */
 /* { dg-final { scan-tree-dump-times "thread_limit\\(0\\)" 6 "gimple" } } */
-/* { dg-final { scan-tree-dump-times "num_teams\\(1\\)" 2 "gimple" } } */
+/* { dg-final { scan-tree-dump-times "num_teams\\(-2\\)" 2 "gimple" } } */
 /* { dg-final { scan-tree-dump-times "thread_limit\\(1\\)" 0 "gimple" } } */
diff --git a/gcc/testsuite/gfortran.dg/gomp/defaultmap-4.f90 
b/gcc/testsuite/gfortran.dg/gomp/defaultmap-4.f90
index 7b182b5..9081159 100644
--- a/gcc/testsuite/gfortran.dg/gomp/defaultmap-4.f90
+++ b/gcc/testsuite/gfortran.dg/gomp/defaultmap-4.f90
@@ -141,5 +141,5 @@ end
 ! { dg-final { scan-tree-dump-times "map\\(to:\\.strxparr \\\[len:" 2 "gimple" 
} }
 ! { dg-final { scan-tree-dump-times "map\\(to:strxparr \\\[pointer set, len:" 
2 "gimple" } }
 ! { dg-final { scan-tree-dump-times "map\\(to:\\.strxp \\\[len:" 2 "gimple" } }
-! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(1\\) 
thread_limit\\(0\\) defaultmap\\(alloc\\)" 1 "gimple" } }
-! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(1\\) 
thread_limit\\(0\\) defaultmap\\(alloc:scalar\\) defaultmap\\(to:aggregate\\) 
defaultmap\\(tofrom:allocatable\\) defaultmap\\(firstprivate:pointer\\)" 1 
"gimple" } }
+! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(-2\\) 
thread_limit\\(0\\) defaultmap\\(alloc\\)" 1 "gimple" } }
+! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(-2\\) 
thread_limit\\(0\\) defaultmap\\(alloc:scalar\\) defaultmap\\(to:aggregate\\) 
defaultmap\\(tofrom:allocatable\\) defaultmap\\(firstprivate:pointer\\)" 1 
"gimple" } }
diff --git a/gcc/testsuite/gfortran.dg/gomp/defaultmap-5.f90 
b/gcc/testsuite/gfortran.dg/gomp/defaultmap-5.f90
index 1391274..91566ed 100644
--- a/gcc/testsuite/gfortran.dg/gomp/defaultmap-5.f90
+++ b/gcc/testsuite/gfortran.dg/gomp/defaultmap-5.f90
@@ -141,5 +141,5 @@ end
 ! { dg-final { scan-tree-dump-times "map\\(to:strxparr \\\[pointer set, len:" 
2 "gimple" } }
 ! { dg-final { scan-tree-dump-times "map\\(to:\\*strxp \\\[len:" 1 "gimple" } }
 ! { dg-final { scan-tree-dump-times "map\\(to:\\.strxp \\\[len:" 1 "gimple" } }
-! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(1\\) 
thread_limit\\(0\\) defaultmap\\(to\\)" 1 "gimple" } }
-! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(1\\) 
thread_limit\\(0\\) defaultmap\\(to:scalar\\) defaultmap\\(tofrom:aggregate\\) 
defaultmap\\(firstprivate:allocatable\\) defaultmap\\(default:pointer\\)" 1 
"gimple" } }
+! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(-2\\) 
thread_limit\\(0\\) defaultmap\\(to\\)" 1 "gimple" } }
+! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(-2\\) 
thread_limit\\(0\\) defaultmap\\(to:scalar\\) defaultmap\\(tofrom:aggregate\\) 
defaultmap\\(firstprivate:allocatable\\) defaultmap\\(default:pointer\\)" 1 
"gimple" } }
diff --git a/gcc/testsuite/gfortran.dg/gomp/defaultmap-6.f90 
b/gcc/testsuite/gfortran.dg/gomp/defaultmap-6.f90
index 9a81d0f..867e41a 100644
--- a/gcc/testsuite/gfortran.dg/gomp/defaultmap-6.f90
+++ b/gcc/testsuite/gfortran.dg/gomp/defaultmap-6.f90
@@ -101,4 +101,4 @@ end
 ! { dg-final { scan-tree-dump-times "map\\(to:\\.strxparr \\\[len:" 1 "gimple" 
} }
 ! { dg-final { scan-tree-dump-times "map\\(to:strxparr \\\[pointer set, len:" 
1 "gimple" } }
 ! { dg-final { scan-tree-dump-times "map\\(to:\\.strxp \\\[len:" 1 "gimple" } }
-! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(1\\) 
thread_limit\\(0\\) defaultmap\\(default\\)" 1 "gimple" } }
+! { dg-final { scan-tree-dump-times "#pragma omp target num_teams\\(-2\\) 
thread_limit\\(0\\) defaultmap\\(default\\)" 1 "gimple" } }
diff --git a/libgomp/config/gcn/icv-device.c b/libgomp/config/gcn/icv-device.c
index bf757ba..eb68881 100644
--- a/libgomp/config/gcn/icv-device.c
+++ b/libgomp/config/gcn/icv-device.c
@@ -81,6 +81,19 @@ omp_set_num_teams (int num_teams)
     GOMP_ADDITIONAL_ICVS.nteams = num_teams;
 }
 
+int
+omp_get_teams_thread_limit (void)
+{
+  return GOMP_ADDITIONAL_ICVS.teams_thread_limit;
+}
+
+void
+omp_set_teams_thread_limit (int thread_limit)
+{
+  if (thread_limit >= 0)
+    GOMP_ADDITIONAL_ICVS.teams_thread_limit = thread_limit;
+}
+
 ialias (omp_set_default_device)
 ialias (omp_get_default_device)
 ialias (omp_get_initial_device)
@@ -89,3 +102,5 @@ ialias (omp_is_initial_device)
 ialias (omp_get_device_num)
 ialias (omp_get_max_teams)
 ialias (omp_set_num_teams)
+ialias (omp_get_teams_thread_limit)
+ialias (omp_set_teams_thread_limit)
diff --git a/libgomp/config/nvptx/icv-device.c 
b/libgomp/config/nvptx/icv-device.c
index 6f869be..a3f00cf 100644
--- a/libgomp/config/nvptx/icv-device.c
+++ b/libgomp/config/nvptx/icv-device.c
@@ -81,6 +81,19 @@ omp_set_num_teams (int num_teams)
     GOMP_ADDITIONAL_ICVS.nteams = num_teams;
 }
 
+int
+omp_get_teams_thread_limit (void)
+{
+  return GOMP_ADDITIONAL_ICVS.teams_thread_limit;
+}
+
+void
+omp_set_teams_thread_limit (int thread_limit)
+{
+  if (thread_limit >= 0)
+    GOMP_ADDITIONAL_ICVS.teams_thread_limit = thread_limit;
+}
+
 ialias (omp_set_default_device)
 ialias (omp_get_default_device)
 ialias (omp_get_initial_device)
@@ -89,3 +102,5 @@ ialias (omp_is_initial_device)
 ialias (omp_get_device_num)
 ialias (omp_get_max_teams)
 ialias (omp_set_num_teams)
+ialias (omp_get_teams_thread_limit)
+ialias (omp_set_teams_thread_limit)
diff --git a/libgomp/icv-device.c b/libgomp/icv-device.c
index d8acf0e..48607ce 100644
--- a/libgomp/icv-device.c
+++ b/libgomp/icv-device.c
@@ -97,3 +97,20 @@ omp_set_num_teams (int num_teams)
 }
 
 ialias (omp_set_num_teams)
+
+int
+omp_get_teams_thread_limit (void)
+{
+  return gomp_teams_thread_limit_var;
+}
+
+ialias (omp_get_teams_thread_limit)
+
+void
+omp_set_teams_thread_limit (int thread_limit)
+{
+  if (thread_limit >= 0)
+    gomp_teams_thread_limit_var = thread_limit;
+}
+
+ialias (omp_set_teams_thread_limit)
diff --git a/libgomp/icv.c b/libgomp/icv.c
index df423c0..9aef91c 100644
--- a/libgomp/icv.c
+++ b/libgomp/icv.c
@@ -148,19 +148,6 @@ omp_get_supported_active_levels (void)
   return gomp_supported_active_levels;
 }
 
-void
-omp_set_teams_thread_limit (int thread_limit)
-{
-  if (thread_limit >= 0)
-    gomp_teams_thread_limit_var = thread_limit;
-}
-
-int
-omp_get_teams_thread_limit (void)
-{
-  return gomp_teams_thread_limit_var;
-}
-
 int
 omp_get_cancellation (void)
 {
@@ -261,8 +248,6 @@ ialias (omp_get_thread_limit)
 ialias (omp_set_max_active_levels)
 ialias (omp_get_max_active_levels)
 ialias (omp_get_supported_active_levels)
-ialias (omp_set_teams_thread_limit)
-ialias (omp_get_teams_thread_limit)
 ialias (omp_get_cancellation)
 ialias (omp_get_proc_bind)
 ialias (omp_get_max_task_priority)
diff --git a/libgomp/target.c b/libgomp/target.c
index 5763483..193c828 100644
--- a/libgomp/target.c
+++ b/libgomp/target.c
@@ -2155,6 +2155,19 @@ get_gomp_offload_icvs (int dev_num)
     new->icvs.nteams = gomp_default_icv_values.nteams_var;
 
   if (dev_x != NULL
+      && gomp_get_icv_flag (dev_x->flags, GOMP_ICV_TEAMS_THREAD_LIMIT))
+    new->icvs.teams_thread_limit = dev_x->icvs.teams_thread_limit_var;
+  else if (dev != NULL
+          && gomp_get_icv_flag (dev->flags, GOMP_ICV_TEAMS_THREAD_LIMIT))
+    new->icvs.teams_thread_limit = dev->icvs.teams_thread_limit_var;
+  else if (all != NULL
+          && gomp_get_icv_flag (all->flags, GOMP_ICV_TEAMS_THREAD_LIMIT))
+    new->icvs.teams_thread_limit = all->icvs.teams_thread_limit_var;
+  else
+    new->icvs.teams_thread_limit
+      = gomp_default_icv_values.teams_thread_limit_var;
+
+  if (dev_x != NULL
       && gomp_get_icv_flag (dev_x->flags, GOMP_ICV_DEFAULT_DEVICE))
     new->icvs.default_device = dev_x->icvs.default_device_var;
   else if (dev != NULL
@@ -2290,7 +2303,14 @@ gomp_load_image_to_device (struct gomp_device_descr 
*devicep, unsigned version,
          int dev_num = (int) (devicep - &devices[0]);
          struct gomp_offload_icvs *icvs = get_gomp_offload_icvs (dev_num);
          size_t var_size = var->end - var->start;
-
+         if (var_size != sizeof (struct gomp_offload_icvs))
+           {
+             gomp_mutex_unlock (&devicep->lock);
+             if (is_register_lock)
+               gomp_mutex_unlock (&register_lock);
+             gomp_fatal ("offload plugin managed 'icv struct' not of expected "
+                         "format");
+           }
          /* Copy the ICVs variable to place on device memory, hereby
             actually designating its device number into effect.  */
          gomp_copy_host2dev (devicep, NULL, (void *) var->start, icvs,
@@ -2769,6 +2789,20 @@ clear_unsupported_flags (struct gomp_device_descr 
*devicep, unsigned int flags)
   return flags;
 }
 
+static void
+gomp_copy_back_icvs (struct gomp_device_descr *devicep, int device)
+{
+  struct gomp_offload_icv_list *item = gomp_get_offload_icv_item (device);
+  if (item == NULL)
+    return;
+
+  void *host_ptr = &item->icvs;
+  void *dev_ptr = omp_get_mapped_ptr (host_ptr, device);
+  if (dev_ptr != NULL)
+    gomp_copy_dev2host (devicep, NULL, host_ptr, dev_ptr,
+                       sizeof (struct gomp_offload_icvs));
+}
+
 /* Like GOMP_target, but KINDS is 16-bit, UNUSED is no longer present,
    and several arguments have been added:
    FLAGS is a bitmask, see GOMP_TARGET_FLAG_* in gomp-constants.h.
@@ -2801,6 +2835,146 @@ GOMP_target_ext (int device, void (*fn) (void *), 
size_t mapnum,
   size_t tgt_align = 0, tgt_size = 0;
   bool fpc_done = false;
 
+  /* Obtain the original TEAMS and THREADS values from ARGS. */
+  intptr_t orig_teams = 1, orig_threads = 0;
+  size_t num_args = 0, len = 1, teams_len = 1, threads_len = 1;
+  void **tmpargs = args;
+  while (*tmpargs)
+    {
+      intptr_t id = (intptr_t) *tmpargs++, val;
+      if (id & GOMP_TARGET_ARG_SUBSEQUENT_PARAM)
+       {
+         val = (intptr_t) *tmpargs++;
+         len = 2;
+       }
+      else
+       {
+         val = id >> GOMP_TARGET_ARG_VALUE_SHIFT;
+         len = 1;
+       }
+      num_args += len;
+      if ((id & GOMP_TARGET_ARG_DEVICE_MASK) != GOMP_TARGET_ARG_DEVICE_ALL)
+       continue;
+      val = val > INT_MAX ? INT_MAX : val;
+      if ((id & GOMP_TARGET_ARG_ID_MASK) == GOMP_TARGET_ARG_NUM_TEAMS)
+       {
+         orig_teams = val;
+         teams_len = len;
+       }
+      else if ((id & GOMP_TARGET_ARG_ID_MASK) == GOMP_TARGET_ARG_THREAD_LIMIT)
+       {
+         orig_threads = val;
+         threads_len = len;
+       }
+    }
+
+  intptr_t new_teams = orig_teams, new_threads = orig_threads;
+  /* ORIG_TEAMS == -2: No explicit teams construct specified. Set to 1.
+     ORIG_TEAMS == -1: TEAMS construct with NUM_TEAMS clause specified, but the
+                      value could not be specified. No Change.
+     ORIG_TEAMS == 0: TEAMS construct without NUM_TEAMS clause.
+                     Set device-specific value.
+     ORIG_TEAMS > 0: Value was already set through e.g. NUM_TEAMS clause.
+                    No change.  */
+  if (orig_teams == -2)
+    new_teams = 1;
+  else if (orig_teams == 0)
+    {
+      struct gomp_offload_icv_list *item = gomp_get_offload_icv_item (device);
+      if (item != NULL)
+       new_teams = item->icvs.nteams;
+    }
+  /* The device-specific teams-thread-limit is only set if (a) an explicit 
TEAMS
+     region exists, i.e. ORIG_TEAMS > -2, and (b) THREADS was not already set 
by
+     e.g. a THREAD_LIMIT clause.  */
+  if (orig_teams >= -2 && orig_threads == 0)
+    {
+      struct gomp_offload_icv_list *item = gomp_get_offload_icv_item (device);
+      if (item != NULL)
+       new_threads = item->icvs.teams_thread_limit;
+    }
+
+  /* Copy and change the arguments list only if TEAMS or THREADS need to be
+     updated.  */
+  void **new_args = args;
+  if (orig_teams != new_teams || orig_threads != new_threads)
+    {
+      size_t tms_len = (orig_teams == new_teams
+                       ? teams_len
+                       : (new_teams > -(1 << 15) && new_teams < (1 << 15)
+                          ? 1 : 2));
+      size_t ths_len = (orig_threads == new_threads
+                       ? threads_len
+                       : (new_threads > -(1 << 15) && new_threads < (1 << 15)
+                          ? 1 : 2));
+      /* One additional item after the last arg must be NULL.  */
+      size_t new_args_cnt = num_args - teams_len - threads_len + tms_len
+                           + ths_len + 1;
+      new_args = (void **) gomp_alloca (new_args_cnt * sizeof (void*));
+
+      tmpargs = args;
+      void **tmp_new_args = new_args;
+      /* Copy all args except TEAMS and THREADS.  TEAMS and THREADS are copied
+        too if they have not been changed and skipped otherwise.  */
+      while (*tmpargs)
+       {
+         intptr_t id = (intptr_t) *tmpargs;
+         if (((id & GOMP_TARGET_ARG_ID_MASK) == GOMP_TARGET_ARG_NUM_TEAMS
+              && orig_teams != new_teams)
+             || ((id & GOMP_TARGET_ARG_ID_MASK) == GOMP_TARGET_ARG_THREAD_LIMIT
+                 && orig_threads != new_threads))
+           {
+             tmpargs++;
+             if (id & GOMP_TARGET_ARG_SUBSEQUENT_PARAM)
+               tmpargs++;
+           }
+         else
+           {
+             *tmp_new_args++ = *tmpargs++;
+             if (id & GOMP_TARGET_ARG_SUBSEQUENT_PARAM)
+               *tmp_new_args++ = *tmpargs++;
+           }
+       }
+
+      /* Add the new TEAMS arg to the new args list if it has been changed.  */
+      if (orig_teams != new_teams)
+       {
+         intptr_t new_val = new_teams;
+         if (tms_len == 1)
+           {
+             new_val = (new_val << GOMP_TARGET_ARG_VALUE_SHIFT)
+                        | GOMP_TARGET_ARG_NUM_TEAMS;
+             *tmp_new_args++ = (void *) new_val;
+           }
+         else
+           {
+             *tmp_new_args++ = (void *) (GOMP_TARGET_ARG_SUBSEQUENT_PARAM
+                                         | GOMP_TARGET_ARG_NUM_TEAMS);
+             *tmp_new_args++ = (void *) new_val;
+           }
+       }
+
+      /* Add the new THREADS arg to the new args list if it has been changed. 
*/
+      if (orig_threads != new_threads)
+       {
+         intptr_t new_val = new_threads;
+         if (ths_len == 1)
+           {
+             new_val = (new_val << GOMP_TARGET_ARG_VALUE_SHIFT)
+                        | GOMP_TARGET_ARG_THREAD_LIMIT;
+             *tmp_new_args++ = (void *) new_val;
+           }
+         else
+           {
+             *tmp_new_args++ = (void *) (GOMP_TARGET_ARG_SUBSEQUENT_PARAM
+                                         | GOMP_TARGET_ARG_THREAD_LIMIT);
+             *tmp_new_args++ = (void *) new_val;
+           }
+       }
+
+      *tmp_new_args = NULL;
+    }
+
   flags = clear_unsupported_flags (devicep, flags);
 
   if (flags & GOMP_TARGET_FLAG_NOWAIT)
@@ -2839,7 +3013,7 @@ GOMP_target_ext (int device, void (*fn) (void *), size_t 
mapnum,
          && !thr->task->final_task)
        {
          gomp_create_target_task (devicep, fn, mapnum, hostaddrs,
-                                  sizes, kinds, flags, depend, args,
+                                  sizes, kinds, flags, depend, new_args,
                                   GOMP_TARGET_TASK_BEFORE_MAP);
          return;
        }
@@ -2885,7 +3059,7 @@ GOMP_target_ext (int device, void (*fn) (void *), size_t 
mapnum,
                                      tgt_align, tgt_size);
            }
        }
-      gomp_target_fallback (fn, hostaddrs, devicep, args);
+      gomp_target_fallback (fn, hostaddrs, devicep, new_args);
       return;
     }
 
@@ -2915,7 +3089,7 @@ GOMP_target_ext (int device, void (*fn) (void *), size_t 
mapnum,
     }
   devicep->run_func (devicep->target_id, fn_addr,
                     tgt_vars ? (void *) tgt_vars->tgt_start : hostaddrs,
-                    args);
+                    new_args);
   if (tgt_vars)
     {
       htab_clear (refcount_set);
@@ -2923,6 +3097,12 @@ GOMP_target_ext (int device, void (*fn) (void *), size_t 
mapnum,
     }
   if (refcount_set)
     htab_free (refcount_set);
+
+  /* Copy back ICVs from device to host.
+     HOST_PTR is expected to exist since it was added in
+     gomp_load_image_to_device if not already available.  */
+  gomp_copy_back_icvs (devicep, device);
+
 }
 
 /* Host fallback for GOMP_target_data{,_ext} routines.  */
diff --git a/libgomp/testsuite/libgomp.c-c++-common/icv-4.c 
b/libgomp/testsuite/libgomp.c-c++-common/icv-4.c
index b987a33..9da0d63 100644
--- a/libgomp/testsuite/libgomp.c-c++-common/icv-4.c
+++ b/libgomp/testsuite/libgomp.c-c++-common/icv-4.c
@@ -16,7 +16,7 @@ main ()
     }
   else
     omp_set_num_teams (6);
-  if (getenv ("OMP_TEAMS_THREAD_LIMIT") == NULL
+  if (getenv ("OMP_TEAMS_THREAD_LIMIT") != NULL
       && strcmp (getenv ("OMP_TEAMS_THREAD_LIMIT"), "12") == 0)
     {
       if (omp_get_teams_thread_limit () != 12)
diff --git a/libgomp/testsuite/libgomp.c-c++-common/icv-5.c 
b/libgomp/testsuite/libgomp.c-c++-common/icv-5.c
index 431cfc7..57e960e 100644
--- a/libgomp/testsuite/libgomp.c-c++-common/icv-5.c
+++ b/libgomp/testsuite/libgomp.c-c++-common/icv-5.c
@@ -1,25 +1,210 @@
+/* { dg-additional-options "-DAMD" { target offload_target_amdgcn } } */
 /* { dg-do run } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV_0 "42" } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV_1 "43" } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV_2 "44" } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_ALL "45" } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV "46" } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS "47" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_ALL "3" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV "4" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS "5" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV_0 "6" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV_1 "7" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV_2 "8" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_ALL "2" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV "3" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT "4" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV_0 "5" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV_1 "6" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV_2 "7" } */
 
 #include <omp.h>
 #include <stdlib.h>
+#include <unistd.h>
 
 int
 main ()
 {
-  if (omp_get_max_teams () != 47)
+  if (omp_get_max_teams () != 5
+      || omp_get_teams_thread_limit () != 4)
     abort ();
 
+  #pragma omp teams
+  {
+    if (omp_get_num_teams () > 5
+       || omp_get_team_num () >= 5)
+      abort ();
+    #pragma omp parallel
+    if (omp_get_thread_limit () > 4
+       || omp_get_thread_num () >= 4)
+      abort ();
+  }
+
+  omp_set_num_teams (4);
+  omp_set_teams_thread_limit (3);
+  if (omp_get_max_teams () != 4
+      || omp_get_teams_thread_limit () != 3)
+    abort ();
+
+  #pragma omp teams
+  {
+    if (omp_get_num_teams () > 4
+       || omp_get_team_num () >= 4)
+      abort ();
+    #pragma omp parallel
+    if (omp_get_thread_limit () > 3
+       || omp_get_thread_num () >= 3)
+      abort ();
+  }
+
+  #pragma omp teams num_teams(3) thread_limit(2)
+  {
+    if (omp_get_num_teams () != 3
+       || omp_get_team_num () >= 3)
+    abort ();
+    #pragma omp parallel
+    if (omp_get_thread_limit () > 2
+       || omp_get_thread_num () >= 2)
+      abort ();
+  }
+
+  #pragma omp teams num_teams(5) thread_limit(4)
+  {
+    if (omp_get_num_teams () != 5
+       || omp_get_team_num () >= 5)
+    abort ();
+    #pragma omp parallel
+    if (omp_get_thread_limit () > 4
+       || omp_get_thread_num () >= 4)
+      abort ();
+  }
+
   int num_devices = omp_get_num_devices () > 3 ? 3 : omp_get_num_devices ();
-  for (int i=0; i < num_devices; i++)
-    #pragma omp target device (i)
-      if (omp_get_max_teams () != 42 + i)
+
+  for (int i = 0; i < num_devices; i++)
+    {
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 6 + i
+         || omp_get_teams_thread_limit () != 5 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams
+      #pragma omp parallel
+      if (omp_get_thread_limit () > 5 + i
+         || omp_get_thread_num () >= 5 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      {
+       omp_set_num_teams (5 + i);
+       omp_set_teams_thread_limit (4 + i);
+       if (omp_get_max_teams () != 5 + i
+           || omp_get_teams_thread_limit () != 4 + i)
+         abort ();
+      }
+
+      /* omp_set_num_teams and omp_set_teams_thread_limit above set the value
+        of nteams-var and teams-thread-limit-var ICVs on device 'i', which has
+        scope 'device' and should be avaible in subsequent target regions.  */
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 5 + i
+         || omp_get_teams_thread_limit () != 4 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams
+      {
+       if (omp_get_num_teams () > 5 + i
+           || omp_get_team_num () >= 5 + i)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > 4 + i
+           || omp_get_thread_num () >= 4 + i)
+         abort ();
+      }
+
+      #pragma omp target device (i)
+      #pragma omp teams num_teams(6 + i) thread_limit(5 + i)
+      {
+       if (omp_get_num_teams () > 6 + i
+           || omp_get_team_num () >= 6 + i)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > 5 + i
+           || omp_get_thread_num () >= 5 + i
+           || omp_get_num_teams () > 6 + i
+           || omp_get_team_num () >= 6 + i)
+         abort ();
+      }
+
+      #pragma omp target device (i)
+      #pragma omp teams num_teams(4 + i) thread_limit(3 + i)
+      {
+       if (omp_get_num_teams () > 4 + i
+           || omp_get_team_num () >= 4 + i)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > 3 + i
+           || omp_get_thread_num () >= 3 + i
+           || omp_get_num_teams () > 4 + i
+           || omp_get_team_num () >= 4 + i)
+         abort ();
+      }
+
+      #pragma omp target device (i)
+      #pragma omp teams thread_limit(3 + i) num_teams(4 + i)
+      {
+       if (omp_get_num_teams () > 4 + i
+           || omp_get_team_num () >= 4 + i)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > 3 + i
+           || omp_get_thread_num () >= 3 + i
+           || omp_get_num_teams () > 4 + i
+           || omp_get_team_num () >= 4 + i)
+         abort ();
+      }
+
+      /* The NUM_TEAMS and THREAD_LIMIT clauses should not change the values
+        of the corresponding ICVs.  */
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 5 + i
+         || omp_get_teams_thread_limit () != 4 + i)
+       abort ();
+
+      /* This tests a large number of teams and threads. If it is larger than
+        2^15+1 then the according argument in the kernels arguments list
+        is encoded with two items instead of one. On NVIDIA there is an
+        adjustment for too large teams and threads. For AMD such adjustment
+        exists only for threads and will cause runtime errors with a two large
+        number of teams.  */
+      intptr_t large_num_teams = 66000;
+#ifdef AMD
+      large_num_teams = 8;
+#endif
+      intptr_t large_threads_limit = 67000;
+      #pragma omp target device (i)
+      {
+       omp_set_num_teams (large_num_teams + i);
+       omp_set_teams_thread_limit (large_threads_limit + i);
+       if (omp_get_max_teams () != large_num_teams + i
+           || omp_get_teams_thread_limit () != large_threads_limit + i)
+         abort ();
+      }
+
+      #pragma omp target device (i)
+       if (omp_get_max_teams () != large_num_teams + i
+           || omp_get_teams_thread_limit () != large_threads_limit + i)
        abort ();
 
+      #pragma omp target device (i)
+      #pragma omp teams
+      {
+       if (omp_get_num_teams () > large_num_teams + i
+           || omp_get_team_num () >= large_num_teams + i)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > large_threads_limit + i
+           || omp_get_thread_num () >= large_threads_limit + i)
+         abort ();
+      }
+    }
+
   return 0;
 }
diff --git a/libgomp/testsuite/libgomp.c-c++-common/icv-6.c 
b/libgomp/testsuite/libgomp.c-c++-common/icv-6.c
index e199a18..1b17f2d 100644
--- a/libgomp/testsuite/libgomp.c-c++-common/icv-6.c
+++ b/libgomp/testsuite/libgomp.c-c++-common/icv-6.c
@@ -1,9 +1,10 @@
 /* { dg-do run } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_ALL "42" } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV "43" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_ALL "3" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_DEV "4" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_ALL "2" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV "3" } */
 /* { dg-set-target-env-var OMP_SCHEDULE_ALL "guided,4" } */
 /* { dg-set-target-env-var OMP_DYNAMIC_ALL "true" } */
-/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_ALL "44" } */
 /* { dg-set-target-env-var OMP_THREAD_LIMIT_ALL "45" } */
 /* { dg-set-target-env-var OMP_NUM_THREADS_ALL "46,3,2" } */
 /* { dg-set-target-env-var OMP_MAX_ACTIVE_LEVELS_ALL "47" } */
@@ -12,8 +13,8 @@
 
 /* This tests the hierarchical usage of ICVs on the device, i.e. if
    OMP_NUM_TEAMS_DEV_<device_num> is not configured, then the value of
-   OMP_NUM_TEAMS_DEV should be used.  And if there is no environment variable
-   without suffix, then the corresponding _ALL variant should be used.  */
+   OMP_NUM_TEAMS_DEV should be used.  And if OMP_NUM_TEAMS (without suffix) is
+   not defined, then OMP_NUM_TEAMS_ALL should be used for the host.  */
 
 #include <omp.h>
 #include <stdlib.h>
@@ -26,10 +27,10 @@ main ()
   int chunk_size;
   omp_get_schedule(&kind, &chunk_size);
 
-  if ((!getenv ("OMP_NUM_TEAMS") && omp_get_max_teams () != 42)
+  if ((!getenv ("OMP_NUM_TEAMS") && omp_get_max_teams () != 3)
       || (!getenv ("OMP_DYNAMIC") && !omp_get_dynamic ())
       || (!getenv ("OMP_SCHEDULE") && (kind != 3 || chunk_size != 4))
-      || (!getenv ("OMP_TEAMS_THREAD_LIMIT") && omp_get_teams_thread_limit () 
!= 44)
+      || (!getenv ("OMP_TEAMS_THREAD_LIMIT") && omp_get_teams_thread_limit () 
!= 2)
       || (!getenv ("OMP_THREAD_LIMIT") && omp_get_thread_limit () != 45)
       || (!getenv ("OMP_NUM_THREADS") && omp_get_max_threads () != 46)
       || (!getenv ("OMP_PROC_BIND") && omp_get_proc_bind () != 
omp_proc_bind_spread)
@@ -44,9 +45,51 @@ main ()
       name[sizeof ("OMP_NUM_TEAMS_DEV_1") - 2] = '0' + i;
       if (getenv (name))
        continue;
-    #pragma omp target device (i)
-      if (omp_get_max_teams () != 43)
+
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 4
+         || omp_get_teams_thread_limit () != 3)
        abort ();
+      #pragma omp target device (i)
+      #pragma omp teams
+      {
+       if (omp_get_num_teams () > 4
+           || omp_get_team_num () >= 4)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > 3
+           || omp_get_thread_num () >= 3)
+         abort ();
+      }
+
+      #pragma omp target device (i)
+      {
+       omp_set_num_teams (3 + i);
+       omp_set_teams_thread_limit (2 + i);
+       if (omp_get_max_teams () != 3 + i
+           || omp_get_teams_thread_limit () != 2 + i)
+         abort ();
+      }
+
+     /* omp_set_num_teams above set the value of nteams-var ICV on device 'i',
+        which has scope 'device' and should be avaible in subsequent target
+        regions.  */
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 3 + i
+         || omp_get_teams_thread_limit () != 2 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams
+      {
+       if (omp_get_num_teams () > 3 + i
+           || omp_get_team_num () >= 3 + i)
+         abort ();
+       #pragma omp parallel
+       if (omp_get_thread_limit () > 2 + i
+           || omp_get_thread_num () >= 2 + i)
+         abort ();
+      }
     }
 
   return 0;
diff --git a/libgomp/testsuite/libgomp.c-c++-common/icv-7.c 
b/libgomp/testsuite/libgomp.c-c++-common/icv-7.c
index 70a716d..bbbd6df 100644
--- a/libgomp/testsuite/libgomp.c-c++-common/icv-7.c
+++ b/libgomp/testsuite/libgomp.c-c++-common/icv-7.c
@@ -1,5 +1,6 @@
 /* { dg-do run } */
-/* { dg-set-target-env-var OMP_NUM_TEAMS_ALL "42" } */
+/* { dg-set-target-env-var OMP_NUM_TEAMS_ALL "7" } */
+/* { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_ALL "2" } */
 
 /* This tests the hierarchical usage of ICVs on the host and on devices, i.e. 
if
    OMP_NUM_TEAMS_DEV_<device_num>, OMP_NUM_TEAMS_DEV, and
@@ -9,18 +10,90 @@
 
 #include <omp.h>
 #include <stdlib.h>
+#include <string.h>
 
 int
 main ()
 {
-  if (omp_get_max_teams () != 42)
+  if ((!getenv ("OMP_NUM_TEAMS") && omp_get_max_teams () != 7)
+      || (!getenv ("OMP_TEAMS_THREAD_LIMIT") && omp_get_teams_thread_limit () 
!= 2))
     abort ();
 
+  #pragma omp teams
+  if ((!getenv ("OMP_NUM_TEAMS"))
+      && (omp_get_num_teams () > 7 || omp_get_team_num () >= 7))
+    abort ();
+
+  omp_set_num_teams (9);
+  omp_set_teams_thread_limit (3);
+  if (omp_get_max_teams () != 9
+      || omp_get_teams_thread_limit () != 3)
+    abort ();
+
+  #pragma omp teams
+  if (omp_get_num_teams () > 9
+      || omp_get_team_num () >= 9)
+    abort ();
+
+  #pragma omp teams num_teams(5)
+  if (omp_get_num_teams () > 5
+      || omp_get_team_num () >= 5)
+    abort ();
+
+  if (getenv ("OMP_NUM_TEAMS_DEV") || getenv ("OMP_TEAMS_THREAD_LIMIT_DEV"))
+    return 0;
+
   int num_devices = omp_get_num_devices () > 3 ? 3 : omp_get_num_devices ();
-  for (int i=0; i < num_devices; i++)
-    #pragma omp target device (i)
-      if (omp_get_max_teams () != 42)
+  for (int i = 0; i < num_devices; i++)
+    {
+      char nteams[sizeof ("OMP_NUM_TEAMS_DEV_1")];
+      strcpy (nteams, "OMP_NUM_TEAMS_DEV_1");
+      nteams[sizeof ("OMP_NUM_TEAMS_DEV_1") - 2] = '0' + i;
+      char teams_thread_limit[sizeof ("OMP_TEAMS_THREAD_LIMIT_DEV_1")];
+      strcpy (teams_thread_limit, "OMP_TEAMS_THREAD_LIMIT_DEV_1");
+      teams_thread_limit[sizeof ("OMP_TEAMS_THREAD_LIMIT_DEV_1") - 2] = '0' + 
i;
+      if (getenv (nteams) || getenv (teams_thread_limit))
+       continue;
+
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 7
+         || omp_get_teams_thread_limit () != 2)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams
+      if (omp_get_num_teams () > 7
+         || omp_get_team_num () >= 7)
+       abort ();
+
+      #pragma omp target device (i)
+      {
+       omp_set_num_teams (8 + i);
+       omp_set_teams_thread_limit (4 + i);
+       if (omp_get_max_teams () != 8 + i
+           || omp_get_teams_thread_limit () != 4 + i)
+         abort ();
+      }
+
+     /* omp_set_num_teams above set the value of nteams-var ICV on device 'i',
+        which has scope 'device' and should be avaible in subsequent target
+        regions.  */
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 8 + i
+         || omp_get_teams_thread_limit () != 4 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams
+      if (omp_get_num_teams () > 8 + i
+         || omp_get_team_num () >= 8 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams num_teams(5 + i)
+      if (omp_get_num_teams () != 5 + i)
        abort ();
+    }
 
   return 0;
 }
diff --git a/libgomp/testsuite/libgomp.c-c++-common/icv-9.c 
b/libgomp/testsuite/libgomp.c-c++-common/icv-9.c
new file mode 100644
index 0000000..21b874f
--- /dev/null
+++ b/libgomp/testsuite/libgomp.c-c++-common/icv-9.c
@@ -0,0 +1,72 @@
+/* { dg-do run } */
+
+/* This tests usage of ICVs on the host and on devices if no corresponding
+   environment variables are configured.  */
+
+#include <omp.h>
+#include <stdlib.h>
+
+int
+main ()
+{
+  if (omp_get_max_teams () != 0
+      || omp_get_teams_thread_limit () != 0)
+    abort ();
+
+  omp_set_num_teams (9);
+  omp_set_teams_thread_limit (2);
+  if (omp_get_max_teams () != 9
+      || omp_get_teams_thread_limit () != 2)
+    abort ();
+
+  #pragma omp teams
+  if (omp_get_num_teams () > 9
+      || omp_get_team_num () >= 9)
+    abort ();
+
+  #pragma omp teams num_teams(5)
+  if (omp_get_num_teams () > 5
+      || omp_get_team_num () >= 5)
+    abort ();
+
+  int num_devices = omp_get_num_devices () > 3 ? 3 : omp_get_num_devices ();
+  for (int i = 0; i < num_devices; i++)
+    {
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 0
+         || omp_get_teams_thread_limit () != 0)
+       abort ();
+
+      #pragma omp target device (i)
+      {
+       omp_set_num_teams (8 + i);
+       omp_set_teams_thread_limit (3 + i);
+       if (omp_get_max_teams () != 8 + i
+           || omp_get_teams_thread_limit () != 3 + i)
+         abort ();
+      }
+
+     /* omp_set_num_teams above set the value of nteams-var ICV on device 'i',
+        which has scope 'device' and should be avaible in subsequent target
+        regions.  */
+      #pragma omp target device (i)
+      if (omp_get_max_teams () != 8 + i
+         || omp_get_teams_thread_limit () != 3 + i)
+       abort ();
+
+      #pragma omp target device (i)
+      #pragma omp teams
+      if (omp_get_num_teams () > 8 + i
+         || omp_get_team_num () >= 8 + i)
+       abort ();
+
+      /* NUM_TEAMS clause has priority over previously set NUM_TEAMS value.  */
+      #pragma omp target device (i)
+      #pragma omp teams num_teams(5 + i)
+      if (omp_get_num_teams () > 5 + i
+         || omp_get_team_num () >= 5 + i)
+       abort ();
+    }
+
+  return 0;
+}
diff --git a/libgomp/testsuite/libgomp.fortran/icv-5.f90 
b/libgomp/testsuite/libgomp.fortran/icv-5.f90
new file mode 100644
index 0000000..05a35fa
--- /dev/null
+++ b/libgomp/testsuite/libgomp.fortran/icv-5.f90
@@ -0,0 +1,226 @@
+! { dg-set-target-env-var OMP_NUM_TEAMS_ALL "3" }
+! { dg-set-target-env-var OMP_NUM_TEAMS_DEV "4" }
+! { dg-set-target-env-var OMP_NUM_TEAMS "5" }
+! { dg-set-target-env-var OMP_NUM_TEAMS_DEV_0 "6" }
+! { dg-set-target-env-var OMP_NUM_TEAMS_DEV_1 "7" }
+! { dg-set-target-env-var OMP_NUM_TEAMS_DEV_2 "8" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_ALL "2" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV "3" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT "4" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV_0 "5" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV_1 "6" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV_2 "7" }
+
+use omp_lib
+implicit none (type, external)
+  integer :: num_devices, i, large_num_teams, large_threads_limit
+  logical :: err
+
+  if (omp_get_num_devices () > 3) then
+    num_devices = 3
+  else
+    num_devices = omp_get_num_devices ()
+  end if
+
+  do i=0,num_devices-1
+
+    ! Testing NUM_TEAMS.
+    if (env_is_set_dev ("OMP_NUM_TEAMS_DEV_", i, 6 + i)) then
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_max_teams () /= 6 + i) err = .true.
+      !$omp end target
+      if (err) stop 1
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      if (omp_get_num_teams () > 6 + i .or. omp_get_team_num () >= 6 + i) &
+        err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 2
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      call omp_set_num_teams (5 + i)
+      if (omp_get_max_teams () /= 5 + i) err = .true.
+      !$omp end target
+      if (err) stop 3
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_max_teams () /= 5 + i) err = .true.
+      !$omp end target
+      if (err) stop 4
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      if (omp_get_num_teams () > 5 + i .or. omp_get_team_num () >= 5 + i) &
+        err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 5
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams num_teams(6 + i)
+      if (omp_get_num_teams () > 6 + i .or. omp_get_team_num () >= 6 + i) &
+        err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 6
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams num_teams(4 + i)
+      if (omp_get_num_teams () > 4 + i .or. omp_get_team_num () >= 4 + i) &
+        err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 7
+
+      large_num_teams = 66000
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      call omp_set_num_teams (large_num_teams + i)
+      if (omp_get_max_teams () /= large_num_teams + i) err = .true.
+      !$omp end target
+      if (err) stop 8
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_max_teams () /= large_num_teams + i) err = .true.
+      !$omp end target
+      if (err) stop 9
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      if (omp_get_num_teams () > large_num_teams + i &
+          .or. omp_get_team_num () >= large_num_teams + i) err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 10
+    end if
+
+    ! Testing TEAMS-THREAD-LIMIT
+    if (env_is_set_dev ("OMP_TEAMS_THREAD_LIMIT_DEV_", i, 5 + i)) then
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_teams_thread_limit () /= 5 + i) err = .true.
+      !$omp end target
+      if (err) stop 11
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      !$omp parallel
+      if (omp_get_thread_limit () > 5 + i .or. omp_get_thread_num () >= 5 + i) 
&
+        err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 12
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      call omp_set_teams_thread_limit (4 + i)
+      if (omp_get_teams_thread_limit () /= 4 + i) err = .true.
+      !$omp end target
+      if (err) stop 13
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_teams_thread_limit () /= 4 + i) err = .true.
+      !$omp end target
+      if (err) stop 14
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      !$omp parallel
+      if (omp_get_thread_limit () > 4 + i .or. omp_get_thread_num () >= 4 + i) 
&
+        err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 15
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams thread_limit(5 + i)
+      !$omp parallel
+      if (omp_get_thread_limit () > 5 + i .or. omp_get_thread_num () >= 5 + i) 
&
+        err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 16
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams thread_limit(3 + i)
+      !$omp parallel
+      if (omp_get_thread_limit () > 3 + i .or. omp_get_thread_num () >= 3 + i) 
&
+        err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 17
+
+      large_threads_limit = 67000
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      call omp_set_teams_thread_limit (large_threads_limit + i)
+      if (omp_get_teams_thread_limit () /= large_threads_limit + i) err = 
.true.
+      !$omp end target
+      if (err) stop 18
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_teams_thread_limit () /= large_threads_limit + i) err = 
.true.
+      !$omp end target
+      if (err) stop 19
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      !$omp parallel
+      if (omp_get_thread_limit () > large_threads_limit + i &
+          .or. omp_get_thread_num () >= large_threads_limit + i) err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 20
+    end if
+
+  end do
+
+contains
+  logical function env_is_set (name, val)
+    character(len=*) :: name, val
+    character(len=40) :: val2
+    integer :: stat
+    call get_environment_variable (name, val2, status=stat)
+    if (stat == 0) then
+      if (val == val2) then
+        env_is_set = .true.
+        return
+      end if
+    else if (stat /= 1) then
+      error stop 30
+    endif
+    env_is_set = .false.
+  end
+  logical function env_is_set_dev (name, dev_num, val)
+    character(len=*) :: name
+    integer :: dev_num, val
+    character(len=64) :: dev_num_str, env_var, val_str
+    dev_num_str = ADJUSTL(dev_num_str)
+    env_var = name // dev_num_str
+    val_str = ADJUSTL(val_str)
+    env_is_set_dev = env_is_set (TRIM(env_var), TRIM(val_str))
+  end
+end
diff --git a/libgomp/testsuite/libgomp.fortran/icv-6.f90 
b/libgomp/testsuite/libgomp.fortran/icv-6.f90
new file mode 100644
index 0000000..c8e6a0d
--- /dev/null
+++ b/libgomp/testsuite/libgomp.fortran/icv-6.f90
@@ -0,0 +1,140 @@
+! { dg-set-target-env-var OMP_NUM_TEAMS_ALL "3" }
+! { dg-set-target-env-var OMP_NUM_TEAMS_DEV "4" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_ALL "2" }
+! { dg-set-target-env-var OMP_TEAMS_THREAD_LIMIT_DEV "3" }
+
+! This test considers the hierarchical usage of ICVs on the device, i.e. if
+! e.g. OMP_NUM_TEAMS_DEV_<device_num> is not configured, then the value of
+! OMP_NUM_TEAMS_DEV should be used for the targets.
+
+use omp_lib
+implicit none (type, external)
+  integer :: num_devices, i, stat, tmp
+  logical :: err
+  character(len=40) :: val
+
+  ! The following environment variables should not be set.
+  call get_environment_variable ("OMP_NUM_TEAMS_DEV_0", val, status=stat)
+  if (stat /= 1) return
+  call get_environment_variable ("OMP_NUM_TEAMS_DEV_1", val, status=stat)
+  if (stat /= 1) return
+  call get_environment_variable ("OMP_NUM_TEAMS_DEV_2", val, status=stat)
+  if (stat /= 1) return
+  call get_environment_variable ("OMP_TEAMS_THREAD_LIMIT_DEV_0", val, 
status=stat)
+  if (stat /= 1) return
+  call get_environment_variable ("OMP_TEAMS_THREAD_LIMIT_DEV_1", val, 
status=stat)
+  if (stat /= 1) return
+  call get_environment_variable ("OMP_TEAMS_THREAD_LIMIT_DEV_2", val, 
status=stat)
+  if (stat /= 1) return
+
+  if (omp_get_num_devices () > 3) then
+    num_devices = 3
+  else
+    num_devices = omp_get_num_devices ()
+  end if
+
+  do i=0,num_devices-1
+
+    ! Testing NUM_TEAMS.
+    if (env_is_set ("OMP_NUM_TEAMS_DEV", "4")) then
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_max_teams () /= 4) err = .true.
+      !$omp end target
+      if (err) stop 1
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      if (omp_get_num_teams () > 4 .or. omp_get_team_num () >= 4) &
+        err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 2
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      call omp_set_num_teams (3 + i)
+      if (omp_get_max_teams () /= 3 + i) err = .true.
+      !$omp end target
+      if (err) stop 3
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_max_teams () /= 3 + i) err = .true.
+      !$omp end target
+      if (err) stop 4
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      if (omp_get_num_teams () > 3 + i .or. omp_get_team_num () >= 3 + i) &
+        err = .true.
+      !$omp end teams
+      !$omp end target
+      if (err) stop 5
+    end if
+
+    ! Testing TEAMS-THREAD-LIMIT
+    if (env_is_set ("OMP_TEAMS_THREAD_LIMIT_DEV", "3")) then
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_teams_thread_limit () /= 3) err = .true.
+      !$omp end target
+      if (err) stop 6
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      !$omp parallel
+      if (omp_get_thread_limit () > 3 .or. omp_get_thread_num () >= 3) &
+        err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 7
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      call omp_set_teams_thread_limit (2 + i)
+      if (omp_get_teams_thread_limit () /= 2 + i) err = .true.
+      !$omp end target
+      if (err) stop 8
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      if (omp_get_teams_thread_limit () /= 2 + i) err = .true.
+      !$omp end target
+      if (err) stop 9
+
+      err = .false.
+      !$omp target device(i) map(tofrom: err)
+      !$omp teams
+      !$omp parallel
+      if (omp_get_thread_limit () > 2 + i .or. omp_get_thread_num () >= 2 + i) 
&
+        err = .true.
+      !$omp end parallel
+      !$omp end teams
+      !$omp end target
+      if (err) stop 10
+    end if
+
+  end do
+
+contains
+  logical function env_is_set (name, val)
+    character(len=*) :: name, val
+    character(len=40) :: val2
+    integer :: stat
+    call get_environment_variable (name, val2, status=stat)
+    if (stat == 0) then
+      if (val == val2) then
+        env_is_set = .true.
+        return
+      end if
+    else if (stat /= 1) then
+      error stop 10
+    endif
+    env_is_set = .false.
+  end
+end

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