diff --git a/include/fmt/core.h b/include/fmt/core.h
index e576b6c6..cfb27ddf 100644
--- a/include/fmt/core.h
+++ b/include/fmt/core.h
@@ -42,12 +42,18 @@
 # define FMT_MSC_VER 0
 #endif
 
-#ifndef FMT_CONSTEXPR
-# if FMT_HAS_FEATURE(cxx_constexpr)
-#  define FMT_CONSTEXPR constexpr
-# else
-#  define FMT_CONSTEXPR
-# endif
+// Check if relaxed c++14 constexpr is supported.
+#ifndef FMT_USE_CONSTEXPR
+# define FMT_USE_CONSTEXPR \
+  (FMT_HAS_FEATURE(cxx_relaxed_constexpr) || FMT_GCC_VERSION >= 500 || \
+   FMT_MSC_VER >= 1910)
+#endif
+#if FMT_USE_CONSTEXPR
+# define FMT_CONSTEXPR constexpr
+# define FMT_CONSTEXPR_VAR constexpr
+#else
+# define FMT_CONSTEXPR inline
+# define FMT_CONSTEXPR_VAR
 #endif
 
 #ifndef FMT_OVERRIDE
@@ -855,23 +861,23 @@ using wcontext = buffer_context_t<wchar_t>;
 
 namespace internal {
 template <typename Context, typename T>
-FMT_CONSTEXPR type get_type() {
+struct get_type {
   using value_type = decltype(make_value<Context>(std::declval<T>()));
-  return value_type::type_tag;
-}
+  static const type value = value_type::type_tag;
+};
 
 template <typename Context>
 FMT_CONSTEXPR uint64_t get_types() { return 0; }
 
 template <typename Context, typename Arg, typename... Args>
 FMT_CONSTEXPR uint64_t get_types() {
-  return get_type<Context, Arg>() | (get_types<Context, Args...>() << 4);
+  return get_type<Context, Arg>::value | (get_types<Context, Args...>() << 4);
 }
 
 template <typename Context, typename T>
 FMT_CONSTEXPR basic_arg<Context> make_arg(const T &value) {
   basic_arg<Context> arg;
-  arg.type_ = get_type<Context, T>();
+  arg.type_ = get_type<Context, T>::value;
   arg.value_ = make_value<Context>(value);
   return arg;
 }
diff --git a/include/fmt/format.h b/include/fmt/format.h
index 3fc54d51..ff7a90d6 100644
--- a/include/fmt/format.h
+++ b/include/fmt/format.h
@@ -2044,7 +2044,7 @@ FMT_CONSTEXPR bool check_format_string(
 // because of a bug in MSVC.
 template <typename Context, typename T>
 struct format_type :
-  std::integral_constant<bool, get_type<Context, T>() != CUSTOM> {};
+  std::integral_constant<bool, get_type<Context, T>::value != CUSTOM> {};
 
 // Specifies whether to format enums.
 template <typename T, typename Enable = void>
@@ -2335,7 +2335,7 @@ class basic_writer {
     void on_num() {
       unsigned num_digits = internal::count_digits(abs_value);
       char_type sep = internal::thousands_sep<char_type>(writer.locale_.get());
-      static FMT_CONSTEXPR unsigned SEP_SIZE = 1;
+      enum { SEP_SIZE = 1 };
       unsigned size = num_digits + SEP_SIZE * ((num_digits - 1) / 3);
       writer.write_int(size, get_prefix(), spec, [this, size, sep](auto &&it) {
         basic_string_view<char_type> s(&sep, SEP_SIZE);
@@ -2828,7 +2828,7 @@ struct formatter<
   FMT_CONSTEXPR typename ParseContext::iterator parse(ParseContext &ctx) {
     auto it = internal::null_terminating_iterator<Char>(ctx);
     using handler_type = internal::dynamic_specs_handler<ParseContext>;
-    auto type = internal::get_type<buffer_context_t<Char>, T>();
+    auto type = internal::get_type<buffer_context_t<Char>, T>::value;
     internal::specs_checker<handler_type>
         handler(handler_type(specs_, ctx), type);
     it = parse_format_specs(it, handler);
@@ -2933,7 +2933,7 @@ struct dynamic_formatter {
       void on_hash() {}
     };
     internal::specs_checker<null_handler>
-        checker(null_handler(), internal::get_type<FormatContext, T>());
+        checker(null_handler(), internal::get_type<FormatContext, T>::value);
     checker.on_align(specs_.align());
     if (specs_.flags_ == 0) {
       // Do nothing.
@@ -3068,9 +3068,9 @@ class format_spec_factory {
   }
 };
 
-FMT_CONSTEXPR fill_spec_factory fill;
-FMT_CONSTEXPR format_spec_factory<width_spec> width;
-FMT_CONSTEXPR format_spec_factory<type_spec> type;
+static const fill_spec_factory fill;
+static const format_spec_factory<width_spec> width;
+static const format_spec_factory<type_spec> type;
 
 template <typename It, typename Char>
 struct arg_join {
@@ -3216,7 +3216,7 @@ template <typename String, typename... Args>
 inline typename std::enable_if<
   std::is_base_of<internal::format_string, String>::value, std::string>::type
     format(String format_str, const Args & ... args) {
-  FMT_CONSTEXPR bool invalid_format =
+  FMT_CONSTEXPR_VAR bool invalid_format =
       internal::check_format_string<char, internal::error_handler, Args...>(
         string_view(format_str.value(), format_str.size()));
   (void)invalid_format;
@@ -3243,8 +3243,8 @@ class udl_formatter {
  public:
   template <typename... Args>
   std::basic_string<Char> operator()(const Args &... args) const {
-    FMT_CONSTEXPR Char s[] = {CHARS..., '\0'};
-    FMT_CONSTEXPR bool invalid_format =
+    FMT_CONSTEXPR_VAR Char s[] = {CHARS..., '\0'};
+    FMT_CONSTEXPR_VAR bool invalid_format =
         check_format_string<Char, error_handler, Args...>(
           basic_string_view<Char>(s, sizeof...(CHARS)));
     (void)invalid_format;
diff --git a/test/format-test.cc b/test/format-test.cc
index bd4fa016..6de47bb3 100644
--- a/test/format-test.cc
+++ b/test/format-test.cc
@@ -1598,6 +1598,30 @@ TEST(FormatTest, DynamicFormatter) {
       format_error, "precision not allowed for this argument type");
 }
 
+TEST(FormatTest, UdlTemplate) {
+  EXPECT_EQ("foo", "foo"_format());
+  EXPECT_EQ("        42", "{0:10}"_format(42));
+  EXPECT_EQ("42", fmt::format(FMT_STRING("{}"), 42));
+}
+
+TEST(FormatTest, ToString) {
+  EXPECT_EQ("42", fmt::to_string(42));
+}
+
+TEST(FormatTest, OutputIterators) {
+  std::list<char> out;
+  fmt::format_to(std::back_inserter(out), "{}", 42);
+  EXPECT_EQ("42", std::string(out.begin(), out.end()));
+  std::stringstream s;
+  fmt::format_to(std::ostream_iterator<char>(s), "{}", 42);
+  EXPECT_EQ("42", s.str());
+}
+
+TEST(FormatTest, OutputSize) {
+  EXPECT_EQ(2, fmt::count("{}", 42));
+}
+
+#if FMT_USE_CONSTEXPR
 struct test_arg_id_handler {
   enum result { NONE, EMPTY, INDEX, NAME, ERROR };
   result res = NONE;
@@ -1834,12 +1858,6 @@ TEST(FormatTest, ConstexprParseFormatString) {
   static_assert(parse_string("{:}"), "");
 }
 
-TEST(FormatTest, UdlTemplate) {
-  EXPECT_EQ("foo", "foo"_format());
-  EXPECT_EQ("        42", "{0:10}"_format(42));
-  EXPECT_EQ("42", fmt::format(FMT_STRING("{}"), 42));
-}
-
 struct test_error_handler {
   const char *&error;
 
@@ -1936,20 +1954,4 @@ TEST(FormatTest, FormatStringErrors) {
                "cannot switch from automatic to manual argument indexing",
                int, int);
 }
-
-TEST(FormatTest, ToString) {
-  EXPECT_EQ("42", fmt::to_string(42));
-}
-
-TEST(FormatTest, OutputIterators) {
-  std::list<char> out;
-  fmt::format_to(std::back_inserter(out), "{}", 42);
-  EXPECT_EQ("42", std::string(out.begin(), out.end()));
-  std::stringstream s;
-  fmt::format_to(std::ostream_iterator<char>(s), "{}", 42);
-  EXPECT_EQ("42", s.str());
-}
-
-TEST(FormatTest, OutputSize) {
-  EXPECT_EQ(2, fmt::count("{}", 42));
-}
+#endif  // FMT_USE_CONSTEXPR