On Mon, Jul 13, 2026 at 12:51 PM Jonathan Wakely <[email protected]> wrote:

> 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?
>
I mean checking if permutation described in
https://eel.is/c++draft/mdspan.layout#stride.cons-4.3
exists. Not sure how to comment that.

>
> > +           // 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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