diff --git a/gcc/cp/constraint.cc b/gcc/cp/constraint.cc
index c9d627fa782..3a7f968eae8 100644
--- a/gcc/cp/constraint.cc
+++ b/gcc/cp/constraint.cc
@@ -3714,6 +3714,9 @@ diagnose_trait_expr (tree expr, tree args)
     case CPTK_IS_AGGREGATE:
       inform (loc, "  %qT is not an aggregate", t1);
       break;
+    case CPTK_IS_ARITHMETIC:
+      inform (loc, "  %qT is not an arithmetic type", t1);
+      break;
     case CPTK_IS_ARRAY:
       inform (loc, "  %qT is not an array", t1);
       break;
diff --git a/gcc/cp/cp-trait.def b/gcc/cp/cp-trait.def
index c60724e869e..b2be7b7bbd7 100644
--- a/gcc/cp/cp-trait.def
+++ b/gcc/cp/cp-trait.def
@@ -59,6 +59,7 @@ DEFTRAIT_EXPR (HAS_UNIQUE_OBJ_REPRESENTATIONS, "__has_unique_object_representati
 DEFTRAIT_EXPR (HAS_VIRTUAL_DESTRUCTOR, "__has_virtual_destructor", 1)
 DEFTRAIT_EXPR (IS_ABSTRACT, "__is_abstract", 1)
 DEFTRAIT_EXPR (IS_AGGREGATE, "__is_aggregate", 1)
+DEFTRAIT_EXPR (IS_ARITHMETIC, "__is_arithmetic", 1)
 DEFTRAIT_EXPR (IS_ARRAY, "__is_array", 1)
 DEFTRAIT_EXPR (IS_ASSIGNABLE, "__is_assignable", 2)
 DEFTRAIT_EXPR (IS_BASE_OF, "__is_base_of", 2)
diff --git a/gcc/cp/cp-trait.gperf b/gcc/cp/cp-trait.gperf
index 5d40e04f91c..9050c36f105 100644
--- a/gcc/cp/cp-trait.gperf
+++ b/gcc/cp/cp-trait.gperf
@@ -39,6 +39,7 @@ struct cp_trait {
 "__has_virtual_destructor", CPTK_HAS_VIRTUAL_DESTRUCTOR, 1, false
 "__is_abstract", CPTK_IS_ABSTRACT, 1, false
 "__is_aggregate", CPTK_IS_AGGREGATE, 1, false
+"__is_arithmetic", CPTK_IS_ARITHMETIC, 1, false
 "__is_array", CPTK_IS_ARRAY, 1, false
 "__is_assignable", CPTK_IS_ASSIGNABLE, 2, false
 "__is_base_of", CPTK_IS_BASE_OF, 2, false
diff --git a/gcc/cp/cp-trait.h b/gcc/cp/cp-trait.h
index ab783b161c7..31fd5075f2d 100644
--- a/gcc/cp/cp-trait.h
+++ b/gcc/cp/cp-trait.h
@@ -54,7 +54,7 @@ struct cp_trait {
   short arity;
   bool type;
 };
-/* maximum key range = 92, duplicates = 0 */
+/* maximum key range = 97, duplicates = 0 */
 
 class cp_trait_lookup
 {
@@ -69,32 +69,32 @@ cp_trait_lookup::hash (const char *str, size_t len)
 {
   static const unsigned char asso_values[] =
     {
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 20, 99, 40, 45, 40,
-       5,  0, 55, 10, 99,  0, 99, 99, 10, 25,
-      30,  0, 10, 99, 10, 15,  5,  0, 20, 99,
-      99, 10, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
-      99, 99, 99, 99, 99, 99
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104,  20, 104,  45,  50,  40,
+        5,   0,  55,   0, 104,   0, 104, 104,  10,  15,
+       35,   0,  10, 104,  10,  15,   5,   0,  20, 104,
+      104,  20, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104, 104, 104, 104, 104,
+      104, 104, 104, 104, 104, 104
     };
   unsigned int hval = len;
 
@@ -116,130 +116,132 @@ cp_trait_lookup::find (const char *str, size_t len)
 {
   enum
     {
-      TOTAL_KEYWORDS = 58,
+      TOTAL_KEYWORDS = 59,
       MIN_WORD_LENGTH = 7,
       MAX_WORD_LENGTH = 37,
       MIN_HASH_VALUE = 7,
-      MAX_HASH_VALUE = 98
+      MAX_HASH_VALUE = 103
     };
 
   static const struct cp_trait wordlist[] =
     {
-#line 86 "../../gcc/cp/cp-trait.gperf"
+#line 87 "../../gcc/cp/cp-trait.gperf"
       {"__bases", CPTK_BASES, 1, true},
-#line 51 "../../gcc/cp/cp-trait.gperf"
+#line 52 "../../gcc/cp/cp-trait.gperf"
       {"__is_enum", CPTK_IS_ENUM, 1, false},
-#line 75 "../../gcc/cp/cp-trait.gperf"
+#line 76 "../../gcc/cp/cp-trait.gperf"
       {"__is_union", CPTK_IS_UNION, 1, false},
-#line 79 "../../gcc/cp/cp-trait.gperf"
-      {"__remove_cv", CPTK_REMOVE_CV, 1, true},
 #line 80 "../../gcc/cp/cp-trait.gperf"
-      {"__remove_cvref", CPTK_REMOVE_CVREF, 1, true},
+      {"__remove_cv", CPTK_REMOVE_CV, 1, true},
 #line 81 "../../gcc/cp/cp-trait.gperf"
+      {"__remove_cvref", CPTK_REMOVE_CVREF, 1, true},
+#line 82 "../../gcc/cp/cp-trait.gperf"
       {"__remove_pointer", CPTK_REMOVE_POINTER, 1, true},
-#line 70 "../../gcc/cp/cp-trait.gperf"
+#line 71 "../../gcc/cp/cp-trait.gperf"
       {"__is_trivial", CPTK_IS_TRIVIAL, 1, false},
-#line 82 "../../gcc/cp/cp-trait.gperf"
+#line 83 "../../gcc/cp/cp-trait.gperf"
       {"__remove_reference", CPTK_REMOVE_REFERENCE, 1, true},
-#line 87 "../../gcc/cp/cp-trait.gperf"
+#line 88 "../../gcc/cp/cp-trait.gperf"
       {"__direct_bases", CPTK_DIRECT_BASES, 1, true},
-#line 50 "../../gcc/cp/cp-trait.gperf"
+#line 51 "../../gcc/cp/cp-trait.gperf"
       {"__is_empty", CPTK_IS_EMPTY, 1, false},
-#line 64 "../../gcc/cp/cp-trait.gperf"
+#line 65 "../../gcc/cp/cp-trait.gperf"
       {"__is_pointer", CPTK_IS_POINTER, 1, false},
-#line 63 "../../gcc/cp/cp-trait.gperf"
+#line 64 "../../gcc/cp/cp-trait.gperf"
       {"__is_pod", CPTK_IS_POD, 1, false},
-#line 85 "../../gcc/cp/cp-trait.gperf"
+#line 86 "../../gcc/cp/cp-trait.gperf"
       {"__is_deducible ", CPTK_IS_DEDUCIBLE, 2, false},
-#line 84 "../../gcc/cp/cp-trait.gperf"
+#line 85 "../../gcc/cp/cp-trait.gperf"
       {"__underlying_type", CPTK_UNDERLYING_TYPE, 1, true},
-#line 73 "../../gcc/cp/cp-trait.gperf"
+#line 74 "../../gcc/cp/cp-trait.gperf"
       {"__is_trivially_copyable", CPTK_IS_TRIVIALLY_COPYABLE, 1, false},
-#line 83 "../../gcc/cp/cp-trait.gperf"
+#line 84 "../../gcc/cp/cp-trait.gperf"
       {"__type_pack_element", CPTK_TYPE_PACK_ELEMENT, -1, true},
-#line 71 "../../gcc/cp/cp-trait.gperf"
+#line 72 "../../gcc/cp/cp-trait.gperf"
       {"__is_trivially_assignable", CPTK_IS_TRIVIALLY_ASSIGNABLE, 2, false},
-#line 68 "../../gcc/cp/cp-trait.gperf"
+#line 69 "../../gcc/cp/cp-trait.gperf"
       {"__is_scoped_enum", CPTK_IS_SCOPED_ENUM, 1, false},
-#line 55 "../../gcc/cp/cp-trait.gperf"
+#line 56 "../../gcc/cp/cp-trait.gperf"
       {"__is_literal_type", CPTK_IS_LITERAL_TYPE, 1, false},
-#line 72 "../../gcc/cp/cp-trait.gperf"
+#line 73 "../../gcc/cp/cp-trait.gperf"
       {"__is_trivially_constructible", CPTK_IS_TRIVIALLY_CONSTRUCTIBLE, -1, false},
-#line 78 "../../gcc/cp/cp-trait.gperf"
+#line 79 "../../gcc/cp/cp-trait.gperf"
       {"__reference_converts_from_temporary", CPTK_REF_CONVERTS_FROM_TEMPORARY, 2, false},
-#line 65 "../../gcc/cp/cp-trait.gperf"
+#line 66 "../../gcc/cp/cp-trait.gperf"
       {"__is_polymorphic", CPTK_IS_POLYMORPHIC, 1, false},
-#line 77 "../../gcc/cp/cp-trait.gperf"
+#line 78 "../../gcc/cp/cp-trait.gperf"
       {"__reference_constructs_from_temporary", CPTK_REF_CONSTRUCTS_FROM_TEMPORARY, 2, false},
 #line 33 "../../gcc/cp/cp-trait.gperf"
       {"__has_nothrow_copy", CPTK_HAS_NOTHROW_COPY, 1, false},
+#line 68 "../../gcc/cp/cp-trait.gperf"
+      {"__is_same", CPTK_IS_SAME, 2, false},
 #line 31 "../../gcc/cp/cp-trait.gperf"
       {"__has_nothrow_assign", CPTK_HAS_NOTHROW_ASSIGN, 1, false},
-#line 54 "../../gcc/cp/cp-trait.gperf"
-      {"__is_layout_compatible", CPTK_IS_LAYOUT_COMPATIBLE, 2, false},
-#line 76 "../../gcc/cp/cp-trait.gperf"
+#line 30 "../../gcc/cp/cp-trait.gperf"
+      {"__is_same_as", CPTK_IS_SAME, 2, false},
+#line 77 "../../gcc/cp/cp-trait.gperf"
       {"__is_volatile", CPTK_IS_VOLATILE, 1, false},
 #line 39 "../../gcc/cp/cp-trait.gperf"
       {"__has_virtual_destructor", CPTK_HAS_VIRTUAL_DESTRUCTOR, 1, false},
 #line 32 "../../gcc/cp/cp-trait.gperf"
       {"__has_nothrow_constructor", CPTK_HAS_NOTHROW_CONSTRUCTOR, 1, false},
-#line 62 "../../gcc/cp/cp-trait.gperf"
+#line 63 "../../gcc/cp/cp-trait.gperf"
       {"__is_pointer_interconvertible_base_of", CPTK_IS_POINTER_INTERCONVERTIBLE_BASE_OF, 2, false},
 #line 36 "../../gcc/cp/cp-trait.gperf"
       {"__has_trivial_copy", CPTK_HAS_TRIVIAL_COPY, 1, false},
-#line 67 "../../gcc/cp/cp-trait.gperf"
-      {"__is_same", CPTK_IS_SAME, 2, false},
+#line 59 "../../gcc/cp/cp-trait.gperf"
+      {"__is_member_pointer", CPTK_IS_MEMBER_POINTER, 1, false},
 #line 34 "../../gcc/cp/cp-trait.gperf"
       {"__has_trivial_assign", CPTK_HAS_TRIVIAL_ASSIGN, 1, false},
-#line 30 "../../gcc/cp/cp-trait.gperf"
-      {"__is_same_as", CPTK_IS_SAME, 2, false},
+#line 55 "../../gcc/cp/cp-trait.gperf"
+      {"__is_layout_compatible", CPTK_IS_LAYOUT_COMPATIBLE, 2, false},
 #line 37 "../../gcc/cp/cp-trait.gperf"
       {"__has_trivial_destructor", CPTK_HAS_TRIVIAL_DESTRUCTOR, 1, false},
 #line 35 "../../gcc/cp/cp-trait.gperf"
       {"__has_trivial_constructor", CPTK_HAS_TRIVIAL_CONSTRUCTOR, 1, false},
-#line 59 "../../gcc/cp/cp-trait.gperf"
+#line 58 "../../gcc/cp/cp-trait.gperf"
+      {"__is_member_object_pointer", CPTK_IS_MEMBER_OBJECT_POINTER, 1, false},
+#line 57 "../../gcc/cp/cp-trait.gperf"
+      {"__is_member_function_pointer", CPTK_IS_MEMBER_FUNCTION_POINTER, 1, false},
+#line 41 "../../gcc/cp/cp-trait.gperf"
+      {"__is_aggregate", CPTK_IS_AGGREGATE, 1, false},
+#line 42 "../../gcc/cp/cp-trait.gperf"
+      {"__is_arithmetic", CPTK_IS_ARITHMETIC, 1, false},
+#line 60 "../../gcc/cp/cp-trait.gperf"
       {"__is_nothrow_assignable", CPTK_IS_NOTHROW_ASSIGNABLE, 2, false},
-#line 61 "../../gcc/cp/cp-trait.gperf"
+#line 62 "../../gcc/cp/cp-trait.gperf"
       {"__is_nothrow_convertible", CPTK_IS_NOTHROW_CONVERTIBLE, 2, false},
-#line 42 "../../gcc/cp/cp-trait.gperf"
+#line 43 "../../gcc/cp/cp-trait.gperf"
       {"__is_array", CPTK_IS_ARRAY, 1, false},
-#line 60 "../../gcc/cp/cp-trait.gperf"
+#line 61 "../../gcc/cp/cp-trait.gperf"
       {"__is_nothrow_constructible", CPTK_IS_NOTHROW_CONSTRUCTIBLE, -1, false},
-#line 45 "../../gcc/cp/cp-trait.gperf"
+#line 46 "../../gcc/cp/cp-trait.gperf"
       {"__is_bounded_array", CPTK_IS_BOUNDED_ARRAY, 1, false},
-#line 41 "../../gcc/cp/cp-trait.gperf"
-      {"__is_aggregate", CPTK_IS_AGGREGATE, 1, false},
-#line 74 "../../gcc/cp/cp-trait.gperf"
+#line 75 "../../gcc/cp/cp-trait.gperf"
       {"__is_unbounded_array", CPTK_IS_UNBOUNDED_ARRAY, 1, false},
 #line 40 "../../gcc/cp/cp-trait.gperf"
       {"__is_abstract", CPTK_IS_ABSTRACT, 1, false},
-#line 58 "../../gcc/cp/cp-trait.gperf"
-      {"__is_member_pointer", CPTK_IS_MEMBER_POINTER, 1, false},
-#line 43 "../../gcc/cp/cp-trait.gperf"
-      {"__is_assignable", CPTK_IS_ASSIGNABLE, 2, false},
 #line 44 "../../gcc/cp/cp-trait.gperf"
+      {"__is_assignable", CPTK_IS_ASSIGNABLE, 2, false},
+#line 45 "../../gcc/cp/cp-trait.gperf"
       {"__is_base_of", CPTK_IS_BASE_OF, 2, false},
-#line 69 "../../gcc/cp/cp-trait.gperf"
-      {"__is_standard_layout", CPTK_IS_STD_LAYOUT, 1, false},
-#line 57 "../../gcc/cp/cp-trait.gperf"
-      {"__is_member_object_pointer", CPTK_IS_MEMBER_OBJECT_POINTER, 1, false},
-#line 56 "../../gcc/cp/cp-trait.gperf"
-      {"__is_member_function_pointer", CPTK_IS_MEMBER_FUNCTION_POINTER, 1, false},
-#line 66 "../../gcc/cp/cp-trait.gperf"
+#line 67 "../../gcc/cp/cp-trait.gperf"
       {"__is_reference", CPTK_IS_REFERENCE, 1, false},
-#line 47 "../../gcc/cp/cp-trait.gperf"
+#line 70 "../../gcc/cp/cp-trait.gperf"
+      {"__is_standard_layout", CPTK_IS_STD_LAYOUT, 1, false},
+#line 48 "../../gcc/cp/cp-trait.gperf"
       {"__is_const", CPTK_IS_CONST, 1, false},
 #line 38 "../../gcc/cp/cp-trait.gperf"
       {"__has_unique_object_representations", CPTK_HAS_UNIQUE_OBJ_REPRESENTATIONS, 1, false},
-#line 49 "../../gcc/cp/cp-trait.gperf"
+#line 50 "../../gcc/cp/cp-trait.gperf"
       {"__is_convertible", CPTK_IS_CONVERTIBLE, 2, false},
-#line 48 "../../gcc/cp/cp-trait.gperf"
+#line 49 "../../gcc/cp/cp-trait.gperf"
       {"__is_constructible", CPTK_IS_CONSTRUCTIBLE, -1, false},
-#line 46 "../../gcc/cp/cp-trait.gperf"
+#line 47 "../../gcc/cp/cp-trait.gperf"
       {"__is_class", CPTK_IS_CLASS, 1, false},
-#line 52 "../../gcc/cp/cp-trait.gperf"
-      {"__is_final", CPTK_IS_FINAL, 1, false},
 #line 53 "../../gcc/cp/cp-trait.gperf"
+      {"__is_final", CPTK_IS_FINAL, 1, false},
+#line 54 "../../gcc/cp/cp-trait.gperf"
       {"__is_function", CPTK_IS_FUNCTION, 1, false}
     };
 
@@ -247,12 +249,12 @@ cp_trait_lookup::find (const char *str, size_t len)
     {
       -1, -1, -1, -1, -1, -1, -1,  0, -1,  1,  2,  3, -1, -1,
        4, -1,  5,  6,  7,  8,  9, -1, 10, 11, -1, 12, -1, 13,
-      14, 15, 16, 17, 18, 19, -1, 20, 21, 22, 23, -1, 24, -1,
-      25, 26, 27, 28, -1, 29, 30, 31, 32, -1, 33, -1, 34, 35,
-      -1, -1, 36, 37, 38, 39, -1, 40, 41, 42, -1, -1, 43, 44,
-      45, -1, 46, -1, -1, 47, 48, -1, 49, 50, 51, -1, -1, -1,
-      -1, 52, 53, -1, 54, -1, 55, -1, -1, -1, -1, 56, -1, -1,
-      57
+      14, 15, 16, 17, 18, 19, -1, 20, 21, 22, 23, 24, 25, -1,
+      26, 27, 28, 29, -1, 30, 31, 32, 33, -1, 34, -1, 35, 36,
+      37, -1, 38, 39, 40, -1, -1, 41, 42, 43, 44, -1, 45, -1,
+      46, -1, -1, 47, -1, 48, -1, 49, -1, 50, 51, -1, -1, -1,
+      -1, 52, -1, -1, -1, -1, 53, 54, -1, 55, -1, 56, -1, -1,
+      -1, -1, 57, -1, -1, 58
     };
 
   if (len <= MAX_WORD_LENGTH && len >= MIN_WORD_LENGTH)
diff --git a/gcc/cp/semantics.cc b/gcc/cp/semantics.cc
index 83ed674b9d4..deab0134509 100644
--- a/gcc/cp/semantics.cc
+++ b/gcc/cp/semantics.cc
@@ -12143,6 +12143,9 @@ trait_expr_value (cp_trait_kind kind, tree type1, tree type2)
     case CPTK_IS_AGGREGATE:
       return CP_AGGREGATE_TYPE_P (type1);
 
+    case CPTK_IS_ARITHMETIC:
+      return ARITHMETIC_TYPE_P (type1);
+
     case CPTK_IS_ARRAY:
       return type_code1 == ARRAY_TYPE;
 
@@ -12406,6 +12409,7 @@ finish_trait_expr (location_t loc, cp_trait_kind kind, tree type1, tree type2)
 	return error_mark_node;
       break;
 
+    case CPTK_IS_ARITHMETIC:
     case CPTK_IS_ARRAY:
     case CPTK_IS_BOUNDED_ARRAY:
     case CPTK_IS_CLASS:
diff --git a/gcc/testsuite/g++.dg/ext/has-builtin-1.C b/gcc/testsuite/g++.dg/ext/has-builtin-1.C
index efce04fd09d..4bc85f4babb 100644
--- a/gcc/testsuite/g++.dg/ext/has-builtin-1.C
+++ b/gcc/testsuite/g++.dg/ext/has-builtin-1.C
@@ -56,6 +56,9 @@
 #if !__has_builtin (__is_aggregate)
 # error "__has_builtin (__is_aggregate) failed"
 #endif
+#if !__has_builtin (__is_arithmetic)
+# error "__has_builtin (__is_arithmetic) failed"
+#endif
 #if !__has_builtin (__is_array)
 # error "__has_builtin (__is_array) failed"
 #endif
diff --git a/gcc/testsuite/g++.dg/ext/is_arithmetic.C b/gcc/testsuite/g++.dg/ext/is_arithmetic.C
new file mode 100644
index 00000000000..fd35831f646
--- /dev/null
+++ b/gcc/testsuite/g++.dg/ext/is_arithmetic.C
@@ -0,0 +1,33 @@
+// { dg-do compile { target c++11 } }
+
+#include <testsuite_tr1.h>
+
+using namespace __gnu_test;
+
+#define SA(X) static_assert((X),#X)
+#define SA_TEST_CATEGORY(TRAIT, TYPE, EXPECT)	\
+  SA(TRAIT(TYPE) == EXPECT);					\
+  SA(TRAIT(const TYPE) == EXPECT);				\
+  SA(TRAIT(volatile TYPE) == EXPECT);			\
+  SA(TRAIT(const volatile TYPE) == EXPECT)
+
+SA_TEST_CATEGORY(__is_arithmetic, void, false);
+
+SA_TEST_CATEGORY(__is_arithmetic, char, true);
+SA_TEST_CATEGORY(__is_arithmetic, signed char, true);
+SA_TEST_CATEGORY(__is_arithmetic, unsigned char, true);
+SA_TEST_CATEGORY(__is_arithmetic, wchar_t, true);
+SA_TEST_CATEGORY(__is_arithmetic, short, true);
+SA_TEST_CATEGORY(__is_arithmetic, unsigned short, true);
+SA_TEST_CATEGORY(__is_arithmetic, int, true);
+SA_TEST_CATEGORY(__is_arithmetic, unsigned int, true);
+SA_TEST_CATEGORY(__is_arithmetic, long, true);
+SA_TEST_CATEGORY(__is_arithmetic, unsigned long, true);
+SA_TEST_CATEGORY(__is_arithmetic, long long, true);
+SA_TEST_CATEGORY(__is_arithmetic, unsigned long long, true);
+SA_TEST_CATEGORY(__is_arithmetic, float, true);
+SA_TEST_CATEGORY(__is_arithmetic, double, true);
+SA_TEST_CATEGORY(__is_arithmetic, long double, true);
+
+// Sanity check.
+SA_TEST_CATEGORY(__is_arithmetic, ClassType, false);
diff --git a/gcc/testsuite/g++.dg/tm/pr46567.C b/gcc/testsuite/g++.dg/tm/pr46567.C
index f08bbf6fd7b..79d304e0309 100644
--- a/gcc/testsuite/g++.dg/tm/pr46567.C
+++ b/gcc/testsuite/g++.dg/tm/pr46567.C
@@ -217,16 +217,16 @@ namespace std __attribute__ ((__visibility__ ("default"))) {
       typedef __true_type __type;
     };
   template<typename _Tp>
-    struct __is_arithmetic
+    struct __is_arith
     : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
     { };
   template<typename _Tp>
     struct __is_fundamental
-    : public __traitor<__is_void<_Tp>, __is_arithmetic<_Tp> >
+    : public __traitor<__is_void<_Tp>, __is_arith<_Tp> >
     { };
   template<typename _Tp>
     struct __is_scalar
-    : public __traitor<__is_arithmetic<_Tp>, __is_ptr<_Tp> >
+    : public __traitor<__is_arith<_Tp>, __is_ptr<_Tp> >
     { };
   template<typename _Tp>
     struct __is_char
diff --git a/gcc/testsuite/g++.dg/torture/pr57107.C b/gcc/testsuite/g++.dg/torture/pr57107.C
index be0689096fb..da592b9fd23 100644
--- a/gcc/testsuite/g++.dg/torture/pr57107.C
+++ b/gcc/testsuite/g++.dg/torture/pr57107.C
@@ -25,9 +25,9 @@ namespace std __attribute__ ((__visibility__ ("default"))) {
 	enum {
 	    __value = 0 };
     };
-    template<typename _Tp>     struct __is_arithmetic     : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >     {
+    template<typename _Tp>     struct __is_arith     : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >     {
     };
-    template<typename _Tp>     struct __is_scalar     : public __traitor<__is_arithmetic<_Tp>, __is_ptr<_Tp> >     {
+    template<typename _Tp>     struct __is_scalar     : public __traitor<__is_arith<_Tp>, __is_ptr<_Tp> >     {
     };
 }
 namespace __gnu_cxx __attribute__ ((__visibility__ ("default"))) {
diff --git a/libstdc++-v3/include/bits/cpp_type_traits.h b/libstdc++-v3/include/bits/cpp_type_traits.h
index 4da1e7c407c..51ed5b07716 100644
--- a/libstdc++-v3/include/bits/cpp_type_traits.h
+++ b/libstdc++-v3/include/bits/cpp_type_traits.h
@@ -389,7 +389,7 @@ __INT_N(__GLIBCXX_TYPE_INT_N_3)
   // An arithmetic type is an integer type or a floating point type
   //
   template<typename _Tp>
-    struct __is_arithmetic
+    struct __is_arith
     : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
     { };
 
@@ -398,7 +398,7 @@ __INT_N(__GLIBCXX_TYPE_INT_N_3)
   // 
   template<typename _Tp>
     struct __is_scalar
-    : public __traitor<__is_arithmetic<_Tp>, __is_ptr<_Tp> >
+    : public __traitor<__is_arith<_Tp>, __is_ptr<_Tp> >
     { };
 
   //
diff --git a/libstdc++-v3/include/c_global/cmath b/libstdc++-v3/include/c_global/cmath
index 6461c92ebfe..a0ddc1dbbeb 100644
--- a/libstdc++-v3/include/c_global/cmath
+++ b/libstdc++-v3/include/c_global/cmath
@@ -1259,8 +1259,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
   template<typename _Tp, typename _Up>
     constexpr typename
-    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
-			    && __is_arithmetic<_Up>::__value), bool>::__type
+    __gnu_cxx::__enable_if<(__is_arith<_Tp>::__value
+			    && __is_arith<_Up>::__value), bool>::__type
     isgreater(_Tp __x, _Up __y)
     {
       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
@@ -1285,8 +1285,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
   template<typename _Tp, typename _Up>
     constexpr typename
-    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
-			    && __is_arithmetic<_Up>::__value), bool>::__type
+    __gnu_cxx::__enable_if<(__is_arith<_Tp>::__value
+			    && __is_arith<_Up>::__value), bool>::__type
     isgreaterequal(_Tp __x, _Up __y)
     {
       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
@@ -1311,8 +1311,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
   template<typename _Tp, typename _Up>
     constexpr typename
-    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
-			    && __is_arithmetic<_Up>::__value), bool>::__type
+    __gnu_cxx::__enable_if<(__is_arith<_Tp>::__value
+			    && __is_arith<_Up>::__value), bool>::__type
     isless(_Tp __x, _Up __y)
     {
       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
@@ -1337,8 +1337,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
   template<typename _Tp, typename _Up>
     constexpr typename
-    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
-			    && __is_arithmetic<_Up>::__value), bool>::__type
+    __gnu_cxx::__enable_if<(__is_arith<_Tp>::__value
+			    && __is_arith<_Up>::__value), bool>::__type
     islessequal(_Tp __x, _Up __y)
     {
       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
@@ -1363,8 +1363,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
   template<typename _Tp, typename _Up>
     constexpr typename
-    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
-			    && __is_arithmetic<_Up>::__value), bool>::__type
+    __gnu_cxx::__enable_if<(__is_arith<_Tp>::__value
+			    && __is_arith<_Up>::__value), bool>::__type
     islessgreater(_Tp __x, _Up __y)
     {
       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
@@ -1389,8 +1389,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO_INT
   template<typename _Tp, typename _Up>
     constexpr typename
-    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
-			    && __is_arithmetic<_Up>::__value), bool>::__type
+    __gnu_cxx::__enable_if<(__is_arith<_Tp>::__value
+			    && __is_arith<_Up>::__value), bool>::__type
     isunordered(_Tp __x, _Up __y)
     {
       typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
@@ -1401,7 +1401,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #else
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     fpclassify(_Tp __f)
     {
@@ -1411,7 +1411,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isfinite(_Tp __f)
     {
@@ -1420,7 +1420,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isinf(_Tp __f)
     {
@@ -1429,7 +1429,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isnan(_Tp __f)
     {
@@ -1438,7 +1438,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isnormal(_Tp __f)
     {
@@ -1447,7 +1447,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     signbit(_Tp __f)
     {
@@ -1456,7 +1456,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isgreater(_Tp __f1, _Tp __f2)
     {
@@ -1465,7 +1465,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isgreaterequal(_Tp __f1, _Tp __f2)
     {
@@ -1474,7 +1474,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isless(_Tp __f1, _Tp __f2)
     {
@@ -1483,7 +1483,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     islessequal(_Tp __f1, _Tp __f2)
     {
@@ -1492,7 +1492,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     islessgreater(_Tp __f1, _Tp __f2)
     {
@@ -1501,7 +1501,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isunordered(_Tp __f1, _Tp __f2)
     {
diff --git a/libstdc++-v3/include/c_std/cmath b/libstdc++-v3/include/c_std/cmath
index 588ee1e6dc4..c1db699ecdb 100644
--- a/libstdc++-v3/include/c_std/cmath
+++ b/libstdc++-v3/include/c_std/cmath
@@ -467,7 +467,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
 #undef isunordered
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     fpclassify(_Tp __f)
     {
@@ -477,7 +477,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isfinite(_Tp __f)
     {
@@ -486,7 +486,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isinf(_Tp __f)
     {
@@ -495,7 +495,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isnan(_Tp __f)
     {
@@ -504,7 +504,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isnormal(_Tp __f)
     {
@@ -513,7 +513,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     signbit(_Tp __f)
     {
@@ -522,7 +522,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isgreater(_Tp __f1, _Tp __f2)
     {
@@ -531,7 +531,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isgreaterequal(_Tp __f1, _Tp __f2)
     {
@@ -540,7 +540,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isless(_Tp __f1, _Tp __f2)
     {
@@ -549,7 +549,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, 
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     islessequal(_Tp __f1, _Tp __f2)
     {
@@ -558,7 +558,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     islessgreater(_Tp __f1, _Tp __f2)
     {
@@ -567,7 +567,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isunordered(_Tp __f1, _Tp __f2)
     {
diff --git a/libstdc++-v3/include/tr1/cmath b/libstdc++-v3/include/tr1/cmath
index ba1b60cc945..2e80f1d0d00 100644
--- a/libstdc++-v3/include/tr1/cmath
+++ b/libstdc++-v3/include/tr1/cmath
@@ -307,7 +307,7 @@ namespace tr1
 
   /// Function template definitions [8.16.3].
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     fpclassify(_Tp __f)
     {
@@ -317,7 +317,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isfinite(_Tp __f)
     {
@@ -326,7 +326,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isinf(_Tp __f)
     {
@@ -335,7 +335,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isnan(_Tp __f)
     {
@@ -344,7 +344,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isnormal(_Tp __f)
     {
@@ -353,7 +353,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     signbit(_Tp __f)
     {
@@ -362,7 +362,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isgreater(_Tp __f1, _Tp __f2)
     {
@@ -371,7 +371,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isgreaterequal(_Tp __f1, _Tp __f2)
     {
@@ -380,7 +380,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isless(_Tp __f1, _Tp __f2)
     {
@@ -389,7 +389,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     islessequal(_Tp __f1, _Tp __f2)
     {
@@ -398,7 +398,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     islessgreater(_Tp __f1, _Tp __f2)
     {
@@ -407,7 +407,7 @@ namespace tr1
     }
 
   template<typename _Tp>
-    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+    inline typename __gnu_cxx::__enable_if<__is_arith<_Tp>::__value,
 					   int>::__type
     isunordered(_Tp __f1, _Tp __f2)
     {
