On Fri, 10 Jul 2026 at 16:39, Tomasz Kamiński <[email protected]> wrote:
>
> This add an assertions checking if the combination of strides
> and extents passed to layout_stride::mapping is unique.
>
> To avoid excessive performance impact, in non-debug mode only
> checks that are are O(rank) (i.e. similar cost as operator())
> are performed. To achieve that, for the ranks greater or equal,
> we perform two separate checks:
> * required_span_size() > mdspan::__size(_M_extents) - this is
>   required by not sufficient condition, that is O(rank) and

"a necessary but not sufficient condition"

>   is always performed.
> * building an permutation using insertion-sort based algorithm,

"a permutation"

>   this is O(rank^2) and is performed only in debug modes.
>
> The check for non-zero stride values (performed for all non-zero
> ranks) is done only if the size of the multidimensional index space
> is not empty. This follows the resolution of LWG4603, and provides
> consistent behavior for constructing layout_stride mapping from
> layout_left/right directly or from strides extracted from it.
>
> libstdc++-v3/ChangeLog:
>
>         * include/std/mdspan (layout_stride::mapping::_M_check_unique):
>         Define.
>         (layout_stride::mapping(const extents_type&, span<....>):
>         Add __glibcxx_assert on _M_check_unique.
>         * testsuite/23_containers/mdspan/layouts/stride_neg.cc:
>         Test for the new added assertions.
> ---
> v3 removes the separate stride_unique.cc test, and uses dg-bogus
> instead (Jakub's no_specializations patch inspired me to do that).
>
>  libstdc++-v3/include/std/mdspan               | 75 ++++++++++++++++++-
>  .../mdspan/layouts/stride_neg.cc              | 72 +++++++++++++++++-
>  2 files changed, 142 insertions(+), 5 deletions(-)
>
> diff --git a/libstdc++-v3/include/std/mdspan b/libstdc++-v3/include/std/mdspan
> index 23304e71b9d..30a079ca1ba 100644
> --- a/libstdc++-v3/include/std/mdspan
> +++ b/libstdc++-v3/include/std/mdspan
> @@ -1893,6 +1893,8 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>           for (size_t __i = 0; __i < extents_type::rank(); ++__i)
>             _M_strides[__i] =
>               
> __mdspan::__index_type_cast<index_type>(as_const(__strides[__i]));
> +
> +         __glibcxx_assert(_M_check_unique());
>         }
>
>        template<typename _OIndexType>
> @@ -2027,6 +2029,75 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>         }
>
>      private:
> +      using _Strides = typename __array_traits<index_type,
> +                                              extents_type::rank()>::_Type;
> +
> +      constexpr bool
> +      _M_check_unique() const
> +      {
> +       constexpr size_t __rank = extents_type::rank();
> +       if constexpr (__rank == 0)
> +         return true;
> +       // _GLIBCXX_RESOLVE_LIB_DEFECTS
> +       // 4603. `layout_stride` should accept zero strides for empty 
> `extents`
> +       else if (__mdspan::__empty(_M_extents))
> +         return true;
> +       else if constexpr (__rank == 1)
> +         return _M_strides[0] > 0;
> +       else if (__mdspan::__contains_zero<const index_type, 
> __rank>(_M_strides))
> +         return false;
> +       else if constexpr (__rank == 2)
> +         return (_M_strides[1] >= _M_strides[0] * _M_extents.extent(0))
> +             || (_M_strides[0] >= _M_strides[1] * _M_extents.extent(1));
> +       else
> +         {
> +           // This is necessary, but not sufficient condition for uniquness.

"uniqueness"

> +           // It requires computation in range of call of operator(), so 
> check
> +           // if first, also in non-debug mode.
> +           if (required_span_size() < __mdspan::__size(_M_extents))
> +             return false;
> +
> +           // Checking if pertmuation of strides exists is O(rank^2) so 
> enabled

"permutation"

but I'm not sure what this comment is saying, are we checking for a
non-unique permutation of strides? An invalid permutation of strides?

> +           // only in debug mode.
> +#ifdef _GLIBCXX_DEBUG
> +           size_t __perm[__rank];
> +           for (size_t __i = 0; __i < __rank; ++__i)
> +             __perm[__i] = __i;
> +
> +           auto __popmin = [&](size_t __from)
> +           {
> +             size_t __min = __perm[__rank - 1];
> +             for (size_t __i = __rank - 1; __i > __from; --__i)
> +               {
> +                 const size_t __cur = __perm[__i - 1];
> +                 const auto __res = _M_strides[__cur] <=> _M_strides[__min];
> +                 // Equal strides are allowed only for extent one, so apply 
> it first.
> +                 if (__res < 0 || (__res == 0 && _M_extents.extent(__cur) == 
> 1))
> +                   {
> +                     __perm[__i] = __min;
> +                     __min = __cur;
> +                   }
> +                 else
> +                   __perm[__i] = __cur;
> +               }
> +             __perm[__from] = __min;
> +             return __min;
> +           };
> +
> +           // We use eager insertion-sort based algorithm to permute the 
> __perm.
> +           size_t __prev = __popmin(0);
> +           for (size_t __i = 1; __i < __rank; ++__i)
> +             {
> +               const size_t __next = __popmin(__i);
> +               if (_M_strides[__next] < _M_strides[__prev] * 
> _M_extents.extent(__prev))
> +                 return false;
> +               __prev = __next;
> +             }
> +#endif
> +           return true;
> +         }
> +      }
> +
>  #if __glibcxx_submdspan
>        template<typename... _Slices>
>         requires (extents_type::rank() == sizeof...(_Slices))
> @@ -2047,8 +2118,6 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>         }
>  #endif
>
> -      using _Strides = typename __array_traits<index_type,
> -                                              extents_type::rank()>::_Type;
>        [[no_unique_address]] extents_type _M_extents;
>        [[no_unique_address]] _Strides _M_strides;
>      };
> @@ -3433,7 +3502,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>               __mdspan::__check_inrange_index(__ext, __slice.offset);
>             else if constexpr (__is_constant_wrapper_v<typename 
> _Slice::extent_type>)
>               {
> -               __mdspan::__check_inrange_index(__ext, __slice.offset);
> +               __mdspan::__check_inrange_index(__ext, __slice.offset);
>                 if constexpr (__is_constant_wrapper_v<typename 
> _Slice::stride_type>)
>                   static_assert(_Slice::stride_type::value > 0);
>                 else
> diff --git 
> a/libstdc++-v3/testsuite/23_containers/mdspan/layouts/stride_neg.cc 
> b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/stride_neg.cc
> index 153560bc82f..692caeac812 100644
> --- a/libstdc++-v3/testsuite/23_containers/mdspan/layouts/stride_neg.cc
> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/stride_neg.cc
> @@ -1,7 +1,5 @@
>  // { dg-do compile { target c++23 } }
>  #include <mdspan>
> -
> -#include "../layout_traits.h"
>  #include <cstdint>
>
>  constexpr size_t dyn = std::dynamic_extent;
> @@ -27,5 +25,75 @@ test_stride_negative()
>  }
>  static_assert(test_stride_negative()); // { dg-error "expansion of" }
>
> +
> +using std::array;
> +template<size_t Rank>
> + using mapping = std::layout_stride::mapping<std::dextents<size_t, Rank>>;
> +
> +constexpr auto m0 = mapping<0>(array<int, 0>{}, array<int, 0>{}); // { 
> dg-bogus "expansion of" }
> +
> +// Zero strides allowed for empty mappings
> +constexpr auto m00 = mapping<1>(array{0}, array{0}); // { dg-bogus 
> "expansion of" }
> +constexpr auto m01 = mapping<2>(array{0, 1}, array{3, 0}); // { dg-bogus 
> "expansion of" }
> +constexpr auto m02 = mapping<2>(array{0, 1}, array{0, 0}); // { dg-bogus 
> "expansion of" }
> +constexpr auto m03 = mapping<3>(array{0, 1, 2}, array{3, 0, 0}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m04 = mapping<3>(array{0, 1, 2}, array{3, 3, 0}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m05 = mapping<4>(array{0, 1, 2, 3}, array{5, 3, 0, 2}); // { 
> dg-bogus "expansion of" }
> +
> +// Otherwise leads to non-unique mappings.
> +constexpr auto m06 = mapping<1>(array{1}, array{0});                   // { 
> dg-error "expansion of" }
> +constexpr auto m07 = mapping<2>(array{1, 2}, array{3, 0});             // { 
> dg-error "expansion of" }
> +constexpr auto m08 = mapping<3>(array{1, 2, 3}, array{3, 3, 0});       // { 
> dg-error "expansion of" }
> +constexpr auto m09 = mapping<4>(array{1, 2, 3, 5}, array{5, 3, 0, 2}); // { 
> dg-error "expansion of" }
> +
> +// required_span_size is smaller size of multidimensional index space
> +constexpr auto m10 = mapping<2>(array{3, 4}, array{2, 3}); // { dg-error 
> "expansion of" }
> +constexpr auto m11 = mapping<2>(array{3, 4}, array{1, 2}); // { dg-error 
> "expansion of" }
> +constexpr auto m12 = mapping<3>(array{3, 4, 5}, array{1, 3, 11}); // { 
> dg-error "expansion of" }
> +constexpr auto m13 = mapping<3>(array{3, 4, 5}, array{1, 2, 12}); // { 
> dg-error "expansion of" }
> +constexpr auto m14 = mapping<4>(array{3, 4, 5, 6}, array{1, 3, 12, 50}); // 
> { dg-error "expansion of" }
> +constexpr auto m15 = mapping<4>(array{3, 4, 5, 6}, array{1, 3, 11, 60}); // 
> { dg-error "expansion of" }
> +constexpr auto m16 = mapping<4>(array{3, 4, 5, 6}, array{1, 2, 12, 60}); // 
> { dg-error "expansion of" }
> +
> +// Passes required_span_size check (smaller and bigger stride), detected 
> only in debug mode
> +constexpr auto m17 = mapping<3>(array{3, 4, 5}, array{1, 2, 25}); // { 
> dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m18 = mapping<3>(array{3, 4, 5}, array{1, 5, 12}); // { 
> dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m19 = mapping<4>(array{3, 4, 5, 6}, array{1, 2, 12, 100}); // 
> { dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m20 = mapping<4>(array{3, 4, 5, 6}, array{1, 5, 12, 60});  // 
> { dg-error "expansion of" "" { target debug_mode } }
> +
> +// Equal indicies allowed if extents are 1
> +constexpr auto m21 = mapping<2>(array{5, 1}, array{1, 1}); // { dg-bogus 
> "expansion of" }
> +constexpr auto m22 = mapping<3>(array{1, 5, 1}, array{1, 1, 1}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m23 = mapping<4>(array{1, 1, 5, 1}, array{1, 1, 1, 1}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m24 = mapping<5>(array{3, 4, 1, 1, 5}, array{3, 10, 3, 3, 
> 45}); // { dg-bogus "expansion of" }
> +constexpr auto m25 = mapping<5>(array{3, 4, 1, 1, 5}, array{3, 10, 3, 10, 
> 45}); // { dg-bogus "expansion of" }
> +constexpr auto m26 = mapping<5>(array{3, 4, 1, 1, 5}, array{3, 10, 10, 3, 
> 45}); // { dg-bogus "expansion of" }
> +constexpr auto m27 = mapping<5>(array{3, 4, 1, 1, 5}, array{3, 10, 10, 10, 
> 45}); // { dg-bogus "expansion of" }
> +
> +// Only some permutations are valid, invalid permutations detected only in 
> debug mode.
> +
> +// Unique if stride 3 corresponds to extent 3
> +constexpr auto m28 = mapping<2>(array{3, 4}, array{3, 10}); // { dg-bogus 
> "expansion of" }
> +constexpr auto m29 = mapping<2>(array{3, 4}, array{10, 3}); // { dg-error 
> "expansion of" "" { target debug_mode } }
> +constexpr auto m30 = mapping<2>(array{4, 3}, array{10, 3}); // { dg-bogus 
> "expansion of" }
> +constexpr auto m31 = mapping<2>(array{4, 3}, array{3, 10}); // { dg-error 
> "expansion of" "" { target debug_mode } }
> +
> +// Unique if stride 11 corresponds to extent 3, as 11 * 3 < 35, and 2 * 5 < 
> 11
> +constexpr auto m32 = mapping<3>(array{3, 4, 5}, array{11, 2, 35}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m33 = mapping<3>(array{3, 4, 5}, array{11, 35, 2}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m34 = mapping<3>(array{3, 4, 5}, array{2, 11, 35}); // { 
> dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m35 = mapping<3>(array{3, 4, 5}, array{35, 2, 11}); // { 
> dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m36 = mapping<3>(array{5, 4, 3}, array{2, 35, 11}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m37 = mapping<3>(array{5, 4, 3}, array{2, 11, 35}); // { 
> dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m38 = mapping<3>(array{5, 3, 4}, array{35, 11, 2}); // { 
> dg-bogus "expansion of" }
> +constexpr auto m39 = mapping<3>(array{3, 5, 4}, array{35, 2, 11}); // { 
> dg-error "expansion of" "" { target debug_mode } }
> +
> +// Unique for stride -> extent mapping: 3 * 5 < 16, 15 * 4 < 65, 65 * 3 < 200
> +constexpr auto m40 = mapping<4>(array{3, 4, 5, 6}, array{65, 16, 3, 200}); 
> // { dg-bogus "expansion of" }
> +constexpr auto m41 = mapping<4>(array{3, 4, 5, 6}, array{3, 16, 65, 200}); 
> // { dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m42 = mapping<4>(array{3, 4, 5, 6}, array{200, 65, 3, 16}); 
> // { dg-error "expansion of" "" { target debug_mode } }
> +constexpr auto m43 = mapping<4>(array{5, 3, 6, 4}, array{3, 65, 200, 16}); 
> // { dg-bogus "expansion of" }
> +constexpr auto m44 = mapping<4>(array{5, 3, 6, 4}, array{3, 16, 200, 65}); 
> // { dg-error "expansion of" "" { target debug_mode } }
> +
>  // { dg-prune-output "non-constant condition for static assertion" }
>  // { dg-prune-output "__glibcxx_assert_fail()" }
> --
> 2.54.0
>

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