diff --git a/gdb/alpha-linux-tdep.c b/gdb/alpha-linux-tdep.c
index 51ce1a7..e56be7e 100644
--- a/gdb/alpha-linux-tdep.c
+++ b/gdb/alpha-linux-tdep.c
@@ -230,20 +230,16 @@ static const struct regset alpha_linux_fpregset =
   alpha_linux_supply_fpregset, alpha_linux_collect_fpregset
 };
 
-/* Return the appropriate register set for the core section identified
-   by SECT_NAME and SECT_SIZE.  */
+/* Iterate over core file register note sections.  */
 
-static const struct regset *
-alpha_linux_regset_from_core_section (struct gdbarch *gdbarch,
-				      const char *sect_name, size_t sect_size)
+static void
+alpha_linux_iterate_over_regset_sections (struct gdbarch *gdbarch,
+					  iterate_over_regset_sections_cb *cb,
+					  void *cb_data,
+					  const struct regcache *regcache)
 {
-  if (strcmp (sect_name, ".reg") == 0 && sect_size >= 32 * 8)
-    return &alpha_linux_gregset;
-
-  if (strcmp (sect_name, ".reg2") == 0 && sect_size >= 32 * 8)
-    return &alpha_linux_fpregset;
-
-  return NULL;
+  cb (".reg", 32 * 8, &alpha_linux_gregset, NULL, cb_data);
+  cb (".reg2", 32 * 8, &alpha_linux_fpregset, NULL, cb_data);
 }
 
 /* Implementation of `gdbarch_gdb_signal_from_target', as defined in
@@ -383,8 +379,8 @@ alpha_linux_init_abi (struct gdbarch_info info, struct gdbarch *gdbarch)
   set_gdbarch_fetch_tls_load_module_address (gdbarch,
                                              svr4_fetch_objfile_link_map);
 
-  set_gdbarch_regset_from_core_section
-    (gdbarch, alpha_linux_regset_from_core_section);
+  set_gdbarch_iterate_over_regset_sections
+    (gdbarch, alpha_linux_iterate_over_regset_sections);
 
   set_gdbarch_gdb_signal_from_target (gdbarch,
 				      alpha_linux_gdb_signal_from_target);
diff --git a/gdb/alphabsd-tdep.h b/gdb/alphabsd-tdep.h
index def7b04..a724ff7 100644
--- a/gdb/alphabsd-tdep.h
+++ b/gdb/alphabsd-tdep.h
@@ -31,10 +31,10 @@ void alphabsd_fill_fpreg (const struct regcache *, char *, int);
 
 /* Functions exported from alphanbsd-tdep.c.  */
 
-/* Return the appropriate register set for the core section identified
-   by SECT_NAME and SECT_SIZE.  */
-extern const struct regset *
-  alphanbsd_regset_from_core_section (struct gdbarch *gdbarch,
-				      const char *sect_name, size_t len);
+/* Iterate over supported core file register note sections. */
+void alphanbsd_iterate_over_regset_sections (struct gdbarch *gdbarch,
+					     iterate_over_regset_sections_cb *cb,
+					     void *cb_data,
+					     const struct regcache *regcache);
 
 #endif /* alphabsd-tdep.h */
diff --git a/gdb/alphafbsd-tdep.c b/gdb/alphafbsd-tdep.c
index 95b64a0..2b7e36e 100644
--- a/gdb/alphafbsd-tdep.c
+++ b/gdb/alphafbsd-tdep.c
@@ -93,6 +93,11 @@ alphafbsd_init_abi (struct gdbarch_info info,
 {
   struct gdbarch_tdep *tdep = gdbarch_tdep (gdbarch);
 
+  /* FIXME: Should activate generic FreeBSD support here with
+     fbsd_init_abi(), but this requires a valid
+     'iterate_over_regset_sections' gdbarch method and
+     'collect_regset' functions for each regset.  */
+
   /* Hook into the DWARF CFI frame unwinder.  */
   alpha_dwarf2_init_abi (info, gdbarch);
 
diff --git a/gdb/alphanbsd-tdep.c b/gdb/alphanbsd-tdep.c
index a4dd6e9..1c2e630 100644
--- a/gdb/alphanbsd-tdep.c
+++ b/gdb/alphanbsd-tdep.c
@@ -73,30 +73,6 @@ alphanbsd_supply_fpregset (const struct regset *regset,
    REGCACHE.  If REGNUM is -1, do this for all registers in REGSET.  */
 
 static void
-alphanbsd_supply_gregset (const struct regset *regset,
-			  struct regcache *regcache,
-			  int regnum, const void *gregs, size_t len)
-{
-  const gdb_byte *regs = gregs;
-  int i;
-
-  gdb_assert (len >= ALPHANBSD_SIZEOF_GREGS);
-
-  for (i = 0; i < ALPHA_ZERO_REGNUM; i++)
-    {
-      if (regnum == i || regnum == -1)
-	regcache_raw_supply (regcache, i, regs + i * 8);
-    }
-
-  if (regnum == ALPHA_PC_REGNUM || regnum == -1)
-    regcache_raw_supply (regcache, ALPHA_PC_REGNUM, regs + 31 * 8);
-}
-
-/* Supply register REGNUM from the buffer specified by GREGS and LEN
-   in the general-purpose register set REGSET to register cache
-   REGCACHE.  If REGNUM is -1, do this for all registers in REGSET.  */
-
-static void
 alphanbsd_aout_supply_gregset (const struct regset *regset,
 			       struct regcache *regcache,
 			       int regnum, const void *gregs, size_t len)
@@ -136,6 +112,34 @@ alphanbsd_aout_supply_gregset (const struct regset *regset,
     }
 }
 
+/* Supply register REGNUM from the buffer specified by GREGS and LEN
+   in the general-purpose register set REGSET to register cache
+   REGCACHE.  If REGNUM is -1, do this for all registers in REGSET.  */
+
+static void
+alphanbsd_supply_gregset (const struct regset *regset,
+			  struct regcache *regcache,
+			  int regnum, const void *gregs, size_t len)
+{
+  const gdb_byte *regs = gregs;
+  int i;
+
+  if (len >= ALPHANBSD_SIZEOF_GREGS + ALPHANBSD_SIZEOF_FPREGS)
+    {
+      alphanbsd_aout_supply_gregset (regset, regcache, regnum, gregs, len);
+      return;
+    }
+
+  for (i = 0; i < ALPHA_ZERO_REGNUM; i++)
+    {
+      if (regnum == i || regnum == -1)
+	regcache_raw_supply (regcache, i, regs + i * 8);
+    }
+
+  if (regnum == ALPHA_PC_REGNUM || regnum == -1)
+    regcache_raw_supply (regcache, ALPHA_PC_REGNUM, regs + 31 * 8);
+}
+
 /* NetBSD/alpha register sets.  */
 
 static const struct regset alphanbsd_gregset =
@@ -150,31 +154,16 @@ static const struct regset alphanbsd_fpregset =
   alphanbsd_supply_fpregset
 };
 
-static const struct regset alphanbsd_aout_gregset =
-{
-  NULL,
-  alphanbsd_aout_supply_gregset
-};
-
-/* Return the appropriate register set for the core section identified
-   by SECT_NAME and SECT_SIZE.  */
+/* Iterate over supported core file register note sections. */
 
-const struct regset *
-alphanbsd_regset_from_core_section (struct gdbarch *gdbarch,
-				    const char *sect_name, size_t sect_size)
+void
+alphanbsd_iterate_over_regset_sections (struct gdbarch *gdbarch,
+					iterate_over_regset_sections_cb *cb,
+					void *cb_data,
+					const struct regcache *regcache)
 {
-  if (strcmp (sect_name, ".reg") == 0 && sect_size >= ALPHANBSD_SIZEOF_GREGS)
-    {
-      if (sect_size >= ALPHANBSD_SIZEOF_GREGS + ALPHANBSD_SIZEOF_FPREGS)
-	return &alphanbsd_aout_gregset;
-      else
-	return &alphanbsd_gregset;
-    }
-
-  if (strcmp (sect_name, ".reg2") == 0 && sect_size >= ALPHANBSD_SIZEOF_FPREGS)
-    return &alphanbsd_fpregset;
-
-  return NULL;
+  cb (".reg", ALPHANBSD_SIZEOF_GREGS, &alphanbsd_gregset, NULL, cb_data);
+  cb (".reg2", ALPHANBSD_SIZEOF_FPREGS, &alphanbsd_fpregset, NULL, cb_data);
 }
 
 
@@ -283,8 +272,8 @@ alphanbsd_init_abi (struct gdbarch_info info,
   tdep->jb_pc = 2;
   tdep->jb_elt_size = 8;
 
-  set_gdbarch_regset_from_core_section
-    (gdbarch, alphanbsd_regset_from_core_section);
+  set_gdbarch_iterate_over_regset_sections
+    (gdbarch, alphanbsd_iterate_over_regset_sections);
 }
 
 
diff --git a/gdb/alphaobsd-tdep.c b/gdb/alphaobsd-tdep.c
index 5c2a8b0..fcddd3a 100644
--- a/gdb/alphaobsd-tdep.c
+++ b/gdb/alphaobsd-tdep.c
@@ -121,8 +121,8 @@ alphaobsd_init_abi(struct gdbarch_info info, struct gdbarch *gdbarch)
   tdep->jb_pc = 2;
   tdep->jb_elt_size = 8;
 
-  set_gdbarch_regset_from_core_section
-    (gdbarch, alphanbsd_regset_from_core_section);
+  set_gdbarch_iterate_over_regset_sections
+    (gdbarch, alphanbsd_iterate_over_regset_sections);
 }
 
 
