[v3] libstdc++: Remove UB from operator+ of months and weekdays.

Message ID 20231118001932.8033-1-cassio.neri@gmail.com
State Superseded
Headers
Series [v3] libstdc++: Remove UB from operator+ of months and weekdays. |

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Commit Message

Cassio Neri Nov. 18, 2023, 12:19 a.m. UTC
  The following functions invoke signed integer overflow (UB) for some extreme
values of days and months [1]:

  weekday operator+(const weekday& x, const days& y); // #1
  month operator+(const month& x, const months& y);   // #2

For #1 the problem is that in libstdc++ days::rep is int64_t. Other
implementations use int32_t and cast operands to int64_t. Hence then perform
arithmetic operations without fear of overflowing. For instance, #1 evaluates:

  modulo(static_cast<long long>(unsigned{x}._M_wd) + __y.count(), 7);

For x86-64, long long is int64 so the cast is useless.  For #2, casting to a
larger type could help but all implementations follow the Standard's "Returns
clause" and evaluate:

   modulo(static_cast<long long>(unsigned{__x}) + (__y.count() - 1), 12);

Hence, overflow occurs when __y.count() is the minimum value of its type.  When
long long is larger than months::rep, this is a fix:

   modulo(static_cast<long long>(unsigned{__x}) + 11 + __y.count(), 12);

Again, this is not possible for libstdc++.  The fix uses this new function:

  template <unsigned __d, typename _T>
  unsigned __add_modulo(unsigned __x, _T __y);

which returns the remainder of Euclidean division of __x +__y by __d without
overflowing. This function replaces

  constexpr unsigned __modulo(long long __n, unsigned __d);

In addition to solve the UB issues, __add_modulo allows shorter branchless code
on x86-64 and ARM [2].

[1] https://godbolt.org/z/WqvosbrvG
[2] https://godbolt.org/z/o63794GEE

libstdc++-v3/ChangeLog:

	* include/std/chrono: Fix operator+ for months and weekdays.
	* testsuite/std/time/month/1.cc: Add constexpr tests against overflow.
	* testsuite/std/time/month/2.cc: New test for extreme values.
	* testsuite/std/time/weekday/1.cc: Add constexpr tests against overflow.
	* testsuite/std/time/weekday/2.cc: New test for extreme values.
---

Changes with respect to previous versions:
 v3: Fix screwed up email send with v2. (Sorry about that. I shall learn at
     some point.)
 v2: Replaced _T with _Tp and _U with _Up. Removed copyright+license from test.

 libstdc++-v3/include/std/chrono              | 61 ++++++++++++--------
 libstdc++-v3/testsuite/std/time/month/1.cc   |  9 +++
 libstdc++-v3/testsuite/std/time/month/2.cc   | 30 ++++++++++
 libstdc++-v3/testsuite/std/time/weekday/1.cc |  8 +++
 libstdc++-v3/testsuite/std/time/weekday/2.cc | 30 ++++++++++
 5 files changed, 114 insertions(+), 24 deletions(-)
 create mode 100644 libstdc++-v3/testsuite/std/time/month/2.cc
 create mode 100644 libstdc++-v3/testsuite/std/time/weekday/2.cc

--
2.41.0
  

Comments

Cassio Neri Nov. 18, 2023, 11:07 a.m. UTC | #1
Actually, disregard this patch. I'm preparing a better one which also
tackles UB in

month - months{INT_MIN}
weekday - days{INT_MIN}

Best wishes,
Cassio.

On Sat, 18 Nov 2023, 00:19 Cassio Neri, <cassio.neri@gmail.com> wrote:

> The following functions invoke signed integer overflow (UB) for some
> extreme
> values of days and months [1]:
>
>   weekday operator+(const weekday& x, const days& y); // #1
>   month operator+(const month& x, const months& y);   // #2
>
> For #1 the problem is that in libstdc++ days::rep is int64_t. Other
> implementations use int32_t and cast operands to int64_t. Hence then
> perform
> arithmetic operations without fear of overflowing. For instance, #1
> evaluates:
>
>   modulo(static_cast<long long>(unsigned{x}._M_wd) + __y.count(), 7);
>
> For x86-64, long long is int64 so the cast is useless.  For #2, casting to
> a
> larger type could help but all implementations follow the Standard's
> "Returns
> clause" and evaluate:
>
>    modulo(static_cast<long long>(unsigned{__x}) + (__y.count() - 1), 12);
>
> Hence, overflow occurs when __y.count() is the minimum value of its type.
> When
> long long is larger than months::rep, this is a fix:
>
>    modulo(static_cast<long long>(unsigned{__x}) + 11 + __y.count(), 12);
>
> Again, this is not possible for libstdc++.  The fix uses this new function:
>
>   template <unsigned __d, typename _T>
>   unsigned __add_modulo(unsigned __x, _T __y);
>
> which returns the remainder of Euclidean division of __x +__y by __d
> without
> overflowing. This function replaces
>
>   constexpr unsigned __modulo(long long __n, unsigned __d);
>
> In addition to solve the UB issues, __add_modulo allows shorter branchless
> code
> on x86-64 and ARM [2].
>
> [1] https://godbolt.org/z/WqvosbrvG
> [2] https://godbolt.org/z/o63794GEE
>
> libstdc++-v3/ChangeLog:
>
>         * include/std/chrono: Fix operator+ for months and weekdays.
>         * testsuite/std/time/month/1.cc: Add constexpr tests against
> overflow.
>         * testsuite/std/time/month/2.cc: New test for extreme values.
>         * testsuite/std/time/weekday/1.cc: Add constexpr tests against
> overflow.
>         * testsuite/std/time/weekday/2.cc: New test for extreme values.
> ---
>
> Changes with respect to previous versions:
>  v3: Fix screwed up email send with v2. (Sorry about that. I shall learn at
>      some point.)
>  v2: Replaced _T with _Tp and _U with _Up. Removed copyright+license from
> test.
>
>  libstdc++-v3/include/std/chrono              | 61 ++++++++++++--------
>  libstdc++-v3/testsuite/std/time/month/1.cc   |  9 +++
>  libstdc++-v3/testsuite/std/time/month/2.cc   | 30 ++++++++++
>  libstdc++-v3/testsuite/std/time/weekday/1.cc |  8 +++
>  libstdc++-v3/testsuite/std/time/weekday/2.cc | 30 ++++++++++
>  5 files changed, 114 insertions(+), 24 deletions(-)
>  create mode 100644 libstdc++-v3/testsuite/std/time/month/2.cc
>  create mode 100644 libstdc++-v3/testsuite/std/time/weekday/2.cc
>
> diff --git a/libstdc++-v3/include/std/chrono
> b/libstdc++-v3/include/std/chrono
> index 10bdd1c4ede..691bb106bb9 100644
> --- a/libstdc++-v3/include/std/chrono
> +++ b/libstdc++-v3/include/std/chrono
> @@ -497,18 +497,38 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>
>      namespace __detail
>      {
> -      // Compute the remainder of the Euclidean division of __n divided
> by __d.
> -      // Euclidean division truncates toward negative infinity and always
> -      // produces a remainder in the range of [0,__d-1] (whereas standard
> -      // division truncates toward zero and yields a nonpositive remainder
> -      // for negative __n).
> +      // Compute the remainder of the Euclidean division of __x + __y
> divided by
> +      // __d without overflowing.  Typically, __x <= 255 + d - 1 is sum of
> +      // weekday/month and an offset in [0, d - 1] and __y is a duration
> count.
> +      // For instance, [time.cal.month.nonmembers] says that given month
> x and
> +      // months y, to get x + y one must calculate:
> +      //
> +      // modulo(static_cast<long long>(unsigned{x}) + (y.count() - 1),
> 12) + 1.
> +      //
> +      // Since y.count() is a 64-bits signed value the subtraction
> y.count() - 1
> +      // or the addition of this value with static_cast<long
> long>(unsigned{x})
> +      // might overflow.  This function can be used to avoid this problem:
> +      //     __add_modulo<12>(unsigned{x} + 11, y.count()) + 1;
> +      // (More details in the implementation of operator+(month, months).)
> +      template <unsigned __d, typename _Tp>
>        constexpr unsigned
> -      __modulo(long long __n, unsigned __d)
> -      {
> -       if (__n >= 0)
> -         return __n % __d;
> -       else
> -         return (__d + (__n % __d)) % __d;
> +      __add_modulo(unsigned __x, _Tp __y)
> +      {
> +       using _Up = make_unsigned_t<_Tp>;
> +       // For __y >= 0, _Up(__y) has the same mathematical value as __y
> and
> +       // this function simply returns (__x + _Up(__y)) % d.  Typically,
> this
> +       // doesn't overflow since the range of _Up contains many more
> positive
> +       // values than _Tp's.  For __y < 0, _Up(__y) has a mathematical
> value in
> +       // the upper-half range of _Up so that adding a positive value to
> it
> +       // might overflow.  Moreover, most likely, _Up(__y) != __y mod d.
> To
> +       // fix both issues we from _Up(__y)"subtract"  an __offset >=
> +       // 255 + d - 1 to make room for the addition to __x and shift the
> modulo
> +       // to the correct value.
> +       auto constexpr __a = _Up(-1) - _Up(255 + __d - 2);
> +       auto constexpr __b = _Up(__d * (__a / __d) - 1);
> +       // Notice: b <= a - 1 <= _Up(-1) - _Up(255 + d - 1) and b % d = d
> - 1.
> +       auto const __offset = __y >= 0 ? _Up(0) : __b - _Up(-1);
> +       return (__x + _Up(__y) + __offset) % __d;
>        }
>
>        inline constexpr unsigned __days_per_month[12]
> @@ -700,8 +720,10 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>        friend constexpr month
>        operator+(const month& __x, const months& __y) noexcept
>        {
> -       auto __n = static_cast<long long>(unsigned{__x}) + (__y.count() -
> 1);
> -       return month{__detail::__modulo(__n, 12) + 1};
> +       // modulo(x + (y - 1), 12) = modulo(x + (y - 1) + 12, 12)
> +       //                         = modulo((x + 11) - y, 12)
> +       return month{1 + __detail::__add_modulo<12>(
> +         unsigned{__x} + 11, __y.count())};
>        }
>
>        friend constexpr month
> @@ -930,15 +952,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>        static constexpr weekday
>        _S_from_days(const days& __d)
>        {
> -       using _Rep = days::rep;
> -       using _URep = make_unsigned_t<_Rep>;
> -       const auto __n = __d.count();
> -       const auto __m = static_cast<_URep>(__n);
> -
> -       // 1970-01-01 (__n =  0, __m = 0        ) -> Thursday (4)
> -       // 1969-31-12 (__n = -1, __m = _URep(-1)) -> Wednesday (3)
> -       const auto __offset = __n >= 0 ? _URep(4) : 3 - _URep(-1) % 7 - 7;
> -       return weekday((__m + __offset) % 7);
> +       return weekday{__detail::__add_modulo<7>(4, __d.count())};
>        }
>
>      public:
> @@ -1028,8 +1042,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>        friend constexpr weekday
>        operator+(const weekday& __x, const days& __y) noexcept
>        {
> -       auto __n = static_cast<long long>(__x._M_wd) + __y.count();
> -       return weekday{__detail::__modulo(__n, 7)};
> +       return weekday{__detail::__add_modulo<7>(__x._M_wd, __y.count())};
>        }
>
>        friend constexpr weekday
> diff --git a/libstdc++-v3/testsuite/std/time/month/1.cc
> b/libstdc++-v3/testsuite/std/time/month/1.cc
> index 773f772bf07..f72a4ab9a5d 100644
> --- a/libstdc++-v3/testsuite/std/time/month/1.cc
> +++ b/libstdc++-v3/testsuite/std/time/month/1.cc
> @@ -20,6 +20,7 @@
>  // Class template day [time.cal.month]
>
>  #include <chrono>
> +#include <limits>
>
>  constexpr void
>  constexpr_month()
> @@ -71,4 +72,12 @@ constexpr_month()
>    static_assert(month{0} <=> month{1} == std::strong_ordering::less);
>    static_assert(month{3} <=> month{3} == std::strong_ordering::equal);
>    static_assert(month{5} <=> month{2} == std::strong_ordering::greater);
> +
> +  auto constexpr months_min =
> months{std::numeric_limits<months::rep>::min()};
> +  auto constexpr m0_min     = month{ 0 } + months_min;
> +  auto constexpr m255_min   = month{255} + months_min;
> +
> +  auto constexpr months_max =
> months{std::numeric_limits<months::rep>::max()};
> +  auto constexpr m0_max     = month{ 0 } + months_max;
> +  auto constexpr m255_max   = month{255} + months_max;
>  }
> diff --git a/libstdc++-v3/testsuite/std/time/month/2.cc
> b/libstdc++-v3/testsuite/std/time/month/2.cc
> new file mode 100644
> index 00000000000..85895949e4e
> --- /dev/null
> +++ b/libstdc++-v3/testsuite/std/time/month/2.cc
> @@ -0,0 +1,30 @@
> +// { dg-do run { target c++20 } }
> +
> +// Class month [time.cal.month]
> +
> +#include <chrono>
> +#include <limits>
> +#include <testsuite_hooks.h>
> +
> +using namespace std::chrono;
> +
> +void test_extreme_values(months extreme)
> +{
> +  for (unsigned m = 0; m < 254; ++m)
> +  {
> +    auto const m1 = month{  m  } + extreme;
> +    auto const m2 = month{m + 1} + extreme;
> +
> +    auto const u1 = unsigned{m1};
> +    auto const u2 = unsigned{m2};
> +
> +    VERIFY(u1 == 12 ? u2 == 1 : u2 == u1 + 1);
> +  }
> +}
> +
> +int main()
> +{
> +  test_extreme_values(months{std::numeric_limits<months::rep>::max()});
> +  test_extreme_values(months{std::numeric_limits<months::rep>::min()});
> +  return 0;
> +}
> diff --git a/libstdc++-v3/testsuite/std/time/weekday/1.cc
> b/libstdc++-v3/testsuite/std/time/weekday/1.cc
> index e89fca47d4b..cc8b0db78f8 100644
> --- a/libstdc++-v3/testsuite/std/time/weekday/1.cc
> +++ b/libstdc++-v3/testsuite/std/time/weekday/1.cc
> @@ -107,4 +107,12 @@ constexpr_weekday()
>    static_assert(weekday{7} == weekday{0});
>    static_assert(!(weekday{0} == weekday{1}));
>    static_assert( (weekday{0} != weekday{2}));
> +
> +  auto constexpr days_min  = days{std::numeric_limits<days::rep>::min()};
> +  auto constexpr wd0_min   = weekday{ 0 } + days_min;
> +  auto constexpr wd255_min = weekday{255} + days_min;
> +
> +  auto constexpr days_max  = days{std::numeric_limits<days::rep>::max()};
> +  auto constexpr m0_max    = weekday{ 0 } + days_max;
> +  auto constexpr m255_max  = weekday{255} + days_max;
>  }
> diff --git a/libstdc++-v3/testsuite/std/time/weekday/2.cc
> b/libstdc++-v3/testsuite/std/time/weekday/2.cc
> new file mode 100644
> index 00000000000..82284976152
> --- /dev/null
> +++ b/libstdc++-v3/testsuite/std/time/weekday/2.cc
> @@ -0,0 +1,30 @@
> +// { dg-do run { target c++20 } }
> +
> +// Class weekday [time.cal.wd]
> +
> +#include <chrono>
> +#include <limits>
> +#include <testsuite_hooks.h>
> +
> +using namespace std::chrono;
> +
> +void test_extreme_values(days extreme)
> +{
> +  for (unsigned d = 0; d < 254; ++d)
> +  {
> +    auto const m1 = weekday{  d  } + extreme;
> +    auto const m2 = weekday{d + 1} + extreme;
> +
> +    auto const u1 = m1.c_encoding();
> +    auto const u2 = m2.c_encoding();
> +
> +    VERIFY(u1 == 6 ? u2 == 0 : u2 == u1 + 1);
> +  }
> +}
> +
> +int main()
> +{
> +  test_extreme_values(days{std::numeric_limits<days::rep>::max()});
> +  test_extreme_values(days{std::numeric_limits<days::rep>::min()});
> +  return 0;
> +}
> --
> 2.41.0
>
>
  

Patch

diff --git a/libstdc++-v3/include/std/chrono b/libstdc++-v3/include/std/chrono
index 10bdd1c4ede..691bb106bb9 100644
--- a/libstdc++-v3/include/std/chrono
+++ b/libstdc++-v3/include/std/chrono
@@ -497,18 +497,38 @@  _GLIBCXX_BEGIN_NAMESPACE_VERSION

     namespace __detail
     {
-      // Compute the remainder of the Euclidean division of __n divided by __d.
-      // Euclidean division truncates toward negative infinity and always
-      // produces a remainder in the range of [0,__d-1] (whereas standard
-      // division truncates toward zero and yields a nonpositive remainder
-      // for negative __n).
+      // Compute the remainder of the Euclidean division of __x + __y divided by
+      // __d without overflowing.  Typically, __x <= 255 + d - 1 is sum of
+      // weekday/month and an offset in [0, d - 1] and __y is a duration count.
+      // For instance, [time.cal.month.nonmembers] says that given month x and
+      // months y, to get x + y one must calculate:
+      //
+      // modulo(static_cast<long long>(unsigned{x}) + (y.count() - 1), 12) + 1.
+      //
+      // Since y.count() is a 64-bits signed value the subtraction y.count() - 1
+      // or the addition of this value with static_cast<long long>(unsigned{x})
+      // might overflow.  This function can be used to avoid this problem:
+      //     __add_modulo<12>(unsigned{x} + 11, y.count()) + 1;
+      // (More details in the implementation of operator+(month, months).)
+      template <unsigned __d, typename _Tp>
       constexpr unsigned
-      __modulo(long long __n, unsigned __d)
-      {
-	if (__n >= 0)
-	  return __n % __d;
-	else
-	  return (__d + (__n % __d)) % __d;
+      __add_modulo(unsigned __x, _Tp __y)
+      {
+	using _Up = make_unsigned_t<_Tp>;
+	// For __y >= 0, _Up(__y) has the same mathematical value as __y and
+	// this function simply returns (__x + _Up(__y)) % d.  Typically, this
+	// doesn't overflow since the range of _Up contains many more positive
+	// values than _Tp's.  For __y < 0, _Up(__y) has a mathematical value in
+	// the upper-half range of _Up so that adding a positive value to it
+	// might overflow.  Moreover, most likely, _Up(__y) != __y mod d.  To
+	// fix both issues we from _Up(__y)"subtract"  an __offset >=
+	// 255 + d - 1 to make room for the addition to __x and shift the modulo
+	// to the correct value.
+	auto constexpr __a = _Up(-1) - _Up(255 + __d - 2);
+	auto constexpr __b = _Up(__d * (__a / __d) - 1);
+	// Notice: b <= a - 1 <= _Up(-1) - _Up(255 + d - 1) and b % d = d - 1.
+	auto const __offset = __y >= 0 ? _Up(0) : __b - _Up(-1);
+	return (__x + _Up(__y) + __offset) % __d;
       }

       inline constexpr unsigned __days_per_month[12]
@@ -700,8 +720,10 @@  _GLIBCXX_BEGIN_NAMESPACE_VERSION
       friend constexpr month
       operator+(const month& __x, const months& __y) noexcept
       {
-	auto __n = static_cast<long long>(unsigned{__x}) + (__y.count() - 1);
-	return month{__detail::__modulo(__n, 12) + 1};
+	// modulo(x + (y - 1), 12) = modulo(x + (y - 1) + 12, 12)
+	//                         = modulo((x + 11) - y, 12)
+	return month{1 + __detail::__add_modulo<12>(
+	  unsigned{__x} + 11, __y.count())};
       }

       friend constexpr month
@@ -930,15 +952,7 @@  _GLIBCXX_BEGIN_NAMESPACE_VERSION
       static constexpr weekday
       _S_from_days(const days& __d)
       {
-	using _Rep = days::rep;
-	using _URep = make_unsigned_t<_Rep>;
-	const auto __n = __d.count();
-	const auto __m = static_cast<_URep>(__n);
-
-	// 1970-01-01 (__n =  0, __m = 0        ) -> Thursday (4)
-	// 1969-31-12 (__n = -1, __m = _URep(-1)) -> Wednesday (3)
-	const auto __offset = __n >= 0 ? _URep(4) : 3 - _URep(-1) % 7 - 7;
-	return weekday((__m + __offset) % 7);
+	return weekday{__detail::__add_modulo<7>(4, __d.count())};
       }

     public:
@@ -1028,8 +1042,7 @@  _GLIBCXX_BEGIN_NAMESPACE_VERSION
       friend constexpr weekday
       operator+(const weekday& __x, const days& __y) noexcept
       {
-	auto __n = static_cast<long long>(__x._M_wd) + __y.count();
-	return weekday{__detail::__modulo(__n, 7)};
+	return weekday{__detail::__add_modulo<7>(__x._M_wd, __y.count())};
       }

       friend constexpr weekday
diff --git a/libstdc++-v3/testsuite/std/time/month/1.cc b/libstdc++-v3/testsuite/std/time/month/1.cc
index 773f772bf07..f72a4ab9a5d 100644
--- a/libstdc++-v3/testsuite/std/time/month/1.cc
+++ b/libstdc++-v3/testsuite/std/time/month/1.cc
@@ -20,6 +20,7 @@ 
 // Class template day [time.cal.month]

 #include <chrono>
+#include <limits>

 constexpr void
 constexpr_month()
@@ -71,4 +72,12 @@  constexpr_month()
   static_assert(month{0} <=> month{1} == std::strong_ordering::less);
   static_assert(month{3} <=> month{3} == std::strong_ordering::equal);
   static_assert(month{5} <=> month{2} == std::strong_ordering::greater);
+
+  auto constexpr months_min = months{std::numeric_limits<months::rep>::min()};
+  auto constexpr m0_min     = month{ 0 } + months_min;
+  auto constexpr m255_min   = month{255} + months_min;
+
+  auto constexpr months_max = months{std::numeric_limits<months::rep>::max()};
+  auto constexpr m0_max     = month{ 0 } + months_max;
+  auto constexpr m255_max   = month{255} + months_max;
 }
diff --git a/libstdc++-v3/testsuite/std/time/month/2.cc b/libstdc++-v3/testsuite/std/time/month/2.cc
new file mode 100644
index 00000000000..85895949e4e
--- /dev/null
+++ b/libstdc++-v3/testsuite/std/time/month/2.cc
@@ -0,0 +1,30 @@ 
+// { dg-do run { target c++20 } }
+
+// Class month [time.cal.month]
+
+#include <chrono>
+#include <limits>
+#include <testsuite_hooks.h>
+
+using namespace std::chrono;
+
+void test_extreme_values(months extreme)
+{
+  for (unsigned m = 0; m < 254; ++m)
+  {
+    auto const m1 = month{  m  } + extreme;
+    auto const m2 = month{m + 1} + extreme;
+
+    auto const u1 = unsigned{m1};
+    auto const u2 = unsigned{m2};
+
+    VERIFY(u1 == 12 ? u2 == 1 : u2 == u1 + 1);
+  }
+}
+
+int main()
+{
+  test_extreme_values(months{std::numeric_limits<months::rep>::max()});
+  test_extreme_values(months{std::numeric_limits<months::rep>::min()});
+  return 0;
+}
diff --git a/libstdc++-v3/testsuite/std/time/weekday/1.cc b/libstdc++-v3/testsuite/std/time/weekday/1.cc
index e89fca47d4b..cc8b0db78f8 100644
--- a/libstdc++-v3/testsuite/std/time/weekday/1.cc
+++ b/libstdc++-v3/testsuite/std/time/weekday/1.cc
@@ -107,4 +107,12 @@  constexpr_weekday()
   static_assert(weekday{7} == weekday{0});
   static_assert(!(weekday{0} == weekday{1}));
   static_assert( (weekday{0} != weekday{2}));
+
+  auto constexpr days_min  = days{std::numeric_limits<days::rep>::min()};
+  auto constexpr wd0_min   = weekday{ 0 } + days_min;
+  auto constexpr wd255_min = weekday{255} + days_min;
+
+  auto constexpr days_max  = days{std::numeric_limits<days::rep>::max()};
+  auto constexpr m0_max    = weekday{ 0 } + days_max;
+  auto constexpr m255_max  = weekday{255} + days_max;
 }
diff --git a/libstdc++-v3/testsuite/std/time/weekday/2.cc b/libstdc++-v3/testsuite/std/time/weekday/2.cc
new file mode 100644
index 00000000000..82284976152
--- /dev/null
+++ b/libstdc++-v3/testsuite/std/time/weekday/2.cc
@@ -0,0 +1,30 @@ 
+// { dg-do run { target c++20 } }
+
+// Class weekday [time.cal.wd]
+
+#include <chrono>
+#include <limits>
+#include <testsuite_hooks.h>
+
+using namespace std::chrono;
+
+void test_extreme_values(days extreme)
+{
+  for (unsigned d = 0; d < 254; ++d)
+  {
+    auto const m1 = weekday{  d  } + extreme;
+    auto const m2 = weekday{d + 1} + extreme;
+
+    auto const u1 = m1.c_encoding();
+    auto const u2 = m2.c_encoding();
+
+    VERIFY(u1 == 6 ? u2 == 0 : u2 == u1 + 1);
+  }
+}
+
+int main()
+{
+  test_extreme_values(days{std::numeric_limits<days::rep>::max()});
+  test_extreme_values(days{std::numeric_limits<days::rep>::min()});
+  return 0;
+}