[PATCH v2 4/5] libstdc++: Implement mdspan and tests.

Luc Grosheintz luc.grosheintz@gmail.com
Thu Jul 3 14:14:31 GMT 2025


Thank you for the nice review! I've locally implemented everything and
I'll send a v3 later today or tomorrow; after squashing the commits
correctly; and retesting everything.

Meanwhile a couple of comments below.

On 7/1/25 16:42, Tomasz Kaminski wrote:
> On Fri, Jun 27, 2025 at 11:37 AM Luc Grosheintz <luc.grosheintz@gmail.com>
> wrote:
> 
>> Implements the class mdspan as described in N4950, i.e. without P3029.
>> It also adds tests for mdspan.
>>
>> libstdc++-v3/ChangeLog:
>>
>>          * include/std/mdspan (mdspan): New class.
>>          * src/c++23/std.cc.in: Add std::mdspan.
>>          * testsuite/23_containers/mdspan/class_mandate_neg.cc: New test.
>>          * testsuite/23_containers/mdspan/mdspan.cc: New test.
>>          * testsuite/23_containers/mdspan/layout_like.h: Add class
>>          LayoutLike which models a user-defined layout.
>>
>> Signed-off-by: Luc Grosheintz <luc.grosheintz@gmail.com>
>> ---
>>
> As usual really solid implementation, few additional comments:
> * use () to value-initialize in ctor initializer list
> * redundant parentheses in requires clauses
> * suggesting for adding __mdspan::__size
> * few suggestion for tests
> 
>   libstdc++-v3/include/std/mdspan               | 282 +++++++++
>>   libstdc++-v3/src/c++23/std.cc.in              |   3 +-
>>   .../23_containers/mdspan/class_mandate_neg.cc |  58 ++
>>   .../23_containers/mdspan/layout_like.h        |  63 ++
>>   .../testsuite/23_containers/mdspan/mdspan.cc  | 540 ++++++++++++++++++
>>   5 files changed, 945 insertions(+), 1 deletion(-)
>>   create mode 100644
>> libstdc++-v3/testsuite/23_containers/mdspan/class_mandate_neg.cc
>>   create mode 100644
>> libstdc++-v3/testsuite/23_containers/mdspan/layout_like.h
>>   create mode 100644 libstdc++-v3/testsuite/23_containers/mdspan/mdspan.cc
>>
>> diff --git a/libstdc++-v3/include/std/mdspan
>> b/libstdc++-v3/include/std/mdspan
>> index e198d65bba3..852f881971e 100644
>> --- a/libstdc++-v3/include/std/mdspan
>> +++ b/libstdc++-v3/include/std/mdspan
>> @@ -1052,6 +1052,288 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>>         { return __p + __i; }
>>       };
>>
>> +  namespace __mdspan
>> +  {
>> +    template<typename _Extents, typename _IndexType, size_t _Nm>
>> +      constexpr bool
>> +      __is_multi_index(const _Extents& __exts, span<_IndexType, _Nm>
>> __indices)
>> +      {
>> +       static_assert(__exts.rank() == _Nm);
>> +       for (size_t __i = 0; __i < __exts.rank(); ++__i)
>> +         if (__indices[__i] >= __exts.extent(__i))
>> +           return false;
>> +       return true;
>> +      }
>> +  }
>> +
>> +  template<typename _ElementType, typename _Extents,
>> +          typename _LayoutPolicy = layout_right,
>> +          typename _AccessorPolicy = default_accessor<_ElementType>>
>> +    class mdspan
>> +    {
>> +      static_assert(!is_array_v<_ElementType>,
>> +       "ElementType must not be an array type");
>> +      static_assert(!is_abstract_v<_ElementType>,
>> +       "ElementType must not be an abstract class type");
>> +      static_assert(__mdspan::__is_extents<_Extents>,
>> +       "Extents must be a specialization of std::extents");
>> +      static_assert(is_same_v<_ElementType,
>> +                             typename _AccessorPolicy::element_type>);
>> +
>> +    public:
>> +      using extents_type = _Extents;
>> +      using layout_type = _LayoutPolicy;
>> +      using accessor_type = _AccessorPolicy;
>> +      using mapping_type = typename layout_type::template
>> mapping<extents_type>;
>> +      using element_type = _ElementType;
>> +      using value_type = remove_cv_t<element_type>;
>> +      using index_type = typename extents_type::index_type;
>> +      using size_type = typename extents_type::size_type;
>> +      using rank_type = typename extents_type::rank_type;
>> +      using data_handle_type = typename accessor_type::data_handle_type;
>> +      using reference = typename accessor_type::reference;
>> +
>> +      static constexpr rank_type
>> +      rank() noexcept { return extents_type::rank(); }
>> +
>> +      static constexpr rank_type
>> +      rank_dynamic() noexcept { return extents_type::rank_dynamic(); }
>> +
>> +      static constexpr size_t
>> +      static_extent(rank_type __r) noexcept
>> +      { return extents_type::static_extent(__r); }
>> +
>> +      constexpr index_type
>> +      extent(rank_type __r) const noexcept { return
>> extents().extent(__r); }
>> +
>> +      constexpr
>> +      mdspan()
>> +      requires (rank_dynamic() > 0 &&
>> +         is_default_constructible_v<data_handle_type> &&
>> +         is_default_constructible_v<mapping_type> &&
>> +         is_default_constructible_v<accessor_type>)
>> +      : _M_accessor{}, _M_mapping{}, _M_handle{}
>>
> Here and in every other constructor, please use () to value-initialize the
> field,
> for example:
>   _M_accessor(), _M_mapping(), _M_handle()
> 
>> +      { }
>> +
>> +      constexpr
>> +      mdspan(const mdspan& __other) = default;
>> +
>> +      constexpr
>> +      mdspan(mdspan&& __other) = default;
>> +
>> +      template<__mdspan::__valid_index_type<index_type>... _OIndexTypes>
>> +       requires ((sizeof...(_OIndexTypes) == rank()
>> +                  || sizeof...(_OIndexTypes) == rank_dynamic())
>> +           && is_constructible_v<mapping_type, extents_type>
>> +           && is_default_constructible_v<accessor_type>)
>>
> Here, and in the whole file, the outermost parentheses are not required in
> "requires".
> Only one round checking of rank should remain.

Do you have a way of remembering when one does or doesn't need the extra
set of parens?

> 
>> +       constexpr explicit
>> +       mdspan(data_handle_type __handle, _OIndexTypes... __exts)
>> +       : _M_accessor{},
>> +
>>   _M_mapping(_Extents(static_cast<index_type>(std::move(__exts))...)),
>> +         _M_handle(std::move(__handle))
>> +       { }
>> +
>> +      template<__mdspan::__valid_index_type<index_type> _OIndexType,
>> +              size_t _Nm>
>> +       requires ((_Nm == rank() || _Nm == rank_dynamic())
>> +                  && is_constructible_v<mapping_type, extents_type>
>> +                  && is_default_constructible_v<accessor_type>)
>> +       constexpr explicit(_Nm != rank_dynamic())
>> +       mdspan(data_handle_type __handle, span<_OIndexType, _Nm> __exts)
>> +       : _M_accessor{}, _M_mapping(extents_type(__exts)),
>> +         _M_handle(std::move(__handle))
>> +       { }
>> +
>> +      template<__mdspan::__valid_index_type<index_type> _OIndexType,
>> +              size_t _Nm>
>> +       requires ((_Nm == rank() || _Nm == rank_dynamic())
>> +                  && is_constructible_v<mapping_type, extents_type>
>> +                  && is_default_constructible_v<accessor_type>)
>> +       constexpr explicit(_Nm != rank_dynamic())
>> +       mdspan(data_handle_type __handle, const array<_OIndexType, _Nm>&
>> __exts)
>> +       : _M_accessor{}, _M_mapping(extents_type(__exts)),
>> +         _M_handle(std::move(__handle))
>> +       { }
>> +
>> +      constexpr
>> +      mdspan(data_handle_type __handle, const extents_type& __exts)
>> +      requires (is_constructible_v<mapping_type, const extents_type&>
>> +               && is_default_constructible_v<accessor_type>)
>> +      : _M_accessor{}, _M_mapping(__exts), _M_handle(std::move(__handle))
>> +      { }
>> +
>> +      constexpr
>> +      mdspan(data_handle_type __handle, const mapping_type& __mapping)
>> +      requires (is_default_constructible_v<accessor_type>)
>>
> Especially here.
> 
>> +      : _M_accessor{}, _M_mapping(__mapping),
>> _M_handle(std::move(__handle))
>> +      { }
>> +
>> +      constexpr
>> +      mdspan(data_handle_type __handle, const mapping_type& __mapping,
>> +            const accessor_type& __accessor)
>> +      : _M_accessor(__accessor), _M_mapping(__mapping),
>> +        _M_handle(std::move(__handle))
>> +      { }
>> +
>> +      template<typename _OElementType, typename _OExtents, typename
>> _OLayout,
>> +              typename _OAccessor>
>> +       requires (is_constructible_v<mapping_type,
>> +             const typename _OLayout::mapping<_OExtents>&>
>> +         && is_constructible_v<accessor_type, const _OAccessor&>)
>> +       constexpr explicit(!(is_convertible_v<
>> +           const typename _OLayout::mapping<_OExtents>&, mapping_type>
>> +         && is_convertible_v<const _OAccessor&, accessor_type>))
>>
> I would write this as !is_convertible_v<....> ||  !is_convertible_v<....>
> to match standard directly.

True, though the mdspan part seems to somewhat consistently write
the condition as `!convertible`.

> 
>> +       mdspan(const mdspan<_OElementType, _OExtents, _OLayout,
>> _OAccessor>&
>> +                __other)
>> +       : _M_accessor(__other.accessor()), _M_mapping(__other.mapping()),
>> +         _M_handle(__other.data_handle())
>> +       {
>> +         static_assert(is_constructible_v<data_handle_type,
>> +             const typename _OAccessor::data_handle_type&>);
>> +         static_assert(is_constructible_v<extents_type, _OExtents>);
>> +       }
>> +
>> +      constexpr mdspan&
>> +      operator=(const mdspan& __other) = default;
>> +
>> +      constexpr mdspan&
>> +      operator=(mdspan&& __other) = default;
>> +
>> +      template<__mdspan::__valid_index_type<index_type>... _OIndexTypes>
>> +       requires (sizeof...(_OIndexTypes) == rank())
>> +       constexpr reference
>> +       operator[](_OIndexTypes... __indices) const
>> +       {
>> +         auto __checked_call = [this](auto... __idxs) -> index_type
>> +           {
>> +             if constexpr
>> (!__mdspan::__standardized_mapping<mapping_type>)
>> +               __glibcxx_assert(__mdspan::__is_multi_index(extents(),
>> +                 span<const index_type, sizeof...(__idxs)>({__idxs...})));
>> +             return _M_mapping(__idxs...);
>> +           };
>> +
>> +         auto __index = __checked_call(
>> +           static_cast<index_type>(std::move(__indices))...);
>> +         return _M_accessor.access(_M_handle, __index);
>> +       }
>> +
>> +      template<__mdspan::__valid_index_type<index_type> _OIndexType>
>> +       constexpr reference
>> +       operator[](span<_OIndexType, rank()> __indices) const
>> +       {
>> +         auto __call = [&]<size_t... _Counts>(index_sequence<_Counts...>)
>> +           -> reference
>> +           { return (*this)[index_type(as_const(__indices[_Counts]))...];
>> };
>> +         return __call(make_index_sequence<rank()>());
>> +       }
>> +
>> +      template<__mdspan::__valid_index_type<index_type> _OIndexType>
>> +       constexpr reference
>> +       operator[](const array<_OIndexType, rank()>& __indices) const
>> +       { return (*this)[span<const _OIndexType, rank()>(__indices)]; }
>> +
>> +      constexpr size_type
>> +      size() const noexcept
>> +      {
>> +       __glibcxx_assert(cmp_less_equal(_M_mapping.required_span_size(),
>> +                                       numeric_limits<size_t>::max()));
>> +       return size_type(__mdspan::__fwd_prod(extents(), rank()));
>>
> I wonder if we would benefit __mdspan::__size, as we know that we want to
> multiple both whole
> spans, and it would be also used in required_span_size() for layouts left,
> right, padded (you multiply it by pad).
> 

Yes, not having an extents.size() is inconvenient for us. This will do
nicely.

However, the required_span_size of a padded layout isn't

   pad * __size(extents)

instead it's defined as the largest linear index plus one [1]; which
is smaller by `pad - extents(k)`, where k is 0 for leftpad and rank - 1
for rightpad.

[1]: https://eel.is/c++draft/mdspan.layout#rightpad.obs-2

We'll need to remember this and likely need to ask the gurus,
because the problem is that this way we can't write SIMD loops
without peeling the last iteration. Which is a little bit sad.

>> +      }
>> +
>> +      [[nodiscard]] constexpr bool
>>
> Put nodiscard and return type in separate lines:
> [[nodiscard]]
> constexpr bool
> empty()
> 
>> +      empty() const noexcept
>> +      {
>> +       return __mdspan::__empty(extents());
>> +      }
>> +
>> +      friend constexpr void
>> +      swap(mdspan& __x, mdspan& __y) noexcept
>> +      {
>> +       std::swap(__x._M_mapping, __y._M_mapping);
>> +       std::swap(__x._M_accessor, __y._M_accessor);
>> +       std::swap(__x._M_handle, __y._M_handle);
>> +      }
>> +
>> +      constexpr const extents_type&
>> +      extents() const noexcept { return _M_mapping.extents(); }
>> +
>> +      constexpr const data_handle_type&
>> +      data_handle() const noexcept { return _M_handle; }
>> +
>> +      constexpr const mapping_type&
>> +      mapping() const noexcept { return _M_mapping; }
>> +
>> +      constexpr const accessor_type&
>> +      accessor() const noexcept { return _M_accessor; }
>> +
>> +      static constexpr bool
>> +      is_always_unique() { return mapping_type::is_always_unique(); }
>> +
>> +      static constexpr bool
>> +      is_always_exhaustive() { return
>> mapping_type::is_always_exhaustive(); }
>> +
>> +      static constexpr bool
>> +      is_always_strided() { return mapping_type::is_always_strided(); }
>> +
>> +      constexpr bool
>> +      is_unique() const { return _M_mapping.is_unique(); }
>> +
>> +      constexpr bool
>> +      is_exhaustive() const { return _M_mapping.is_exhaustive(); }
>> +
>> +      constexpr bool
>> +      is_strided() const { return _M_mapping. is_strided(); }
>> +
>> +      constexpr index_type
>> +      stride(rank_type __r) const { return _M_mapping.stride(__r); }
>> +
>> +    private:
>> +      [[no_unique_address]] accessor_type _M_accessor;
>> +      [[no_unique_address]] mapping_type _M_mapping;
>> +      [[no_unique_address]] data_handle_type _M_handle;
>> +    };
>> +
>> +  template<typename _CArray>
>> +    requires(is_array_v<_CArray> && rank_v<_CArray> == 1)
>> +    mdspan(_CArray&)
>> +    -> mdspan<remove_all_extents_t<_CArray>,
>> +             extents<size_t, extent_v<_CArray, 0>>>;
>> +
>> +  template<typename _Pointer>
>> +    requires(is_pointer_v<remove_reference_t<_Pointer>>)
>> +    mdspan(_Pointer&&)
>> +    -> mdspan<remove_pointer_t<remove_reference_t<_Pointer>>,
>> extents<size_t>>;
>> +
>> +  template<typename _ElementType, typename... _Integrals>
>> +    requires((is_convertible_v<_Integrals, size_t> && ...)
>> +             && sizeof...(_Integrals) > 0)
>> +    explicit mdspan(_ElementType*, _Integrals...)
>> +    -> mdspan<_ElementType, dextents<size_t, sizeof...(_Integrals)>>;
>> +
>> +  template<typename _ElementType, typename _OIndexType, size_t _Nm>
>> +    mdspan(_ElementType*, span<_OIndexType, _Nm>)
>> +    -> mdspan<_ElementType, dextents<size_t, _Nm>>;
>> +
>> +  template<typename _ElementType, typename _OIndexType, size_t _Nm>
>> +    mdspan(_ElementType*, const array<_OIndexType, _Nm>&)
>> +    -> mdspan<_ElementType, dextents<size_t, _Nm>>;
>> +
>> +  template<typename _ElementType, typename _IndexType, size_t...
>> _ExtentsPack>
>> +    mdspan(_ElementType*, const extents<_IndexType, _ExtentsPack...>&)
>> +    -> mdspan<_ElementType, extents<_IndexType, _ExtentsPack...>>;
>> +
>> +  template<typename _ElementType, typename _MappingType>
>> +    mdspan(_ElementType*, const _MappingType&)
>> +    -> mdspan<_ElementType, typename _MappingType::extents_type,
>> +             typename _MappingType::layout_type>;
>> +
>> +  template<typename _MappingType, typename _AccessorType>
>> +    mdspan(const typename _AccessorType::data_handle_type&, const
>> _MappingType&,
>> +          const _AccessorType&)
>> +    -> mdspan<typename _AccessorType::element_type,
>> +             typename _MappingType::extents_type,
>> +             typename _MappingType::layout_type, _AccessorType>;
>> +
>>   _GLIBCXX_END_NAMESPACE_VERSION
>>   }
>>   #endif
>> diff --git a/libstdc++-v3/src/c++23/std.cc.in b/libstdc++-v3/src/c++23/
>> std.cc.in
>> index e692caaa5f9..b62114be467 100644
>> --- a/libstdc++-v3/src/c++23/std.cc.in
>> +++ b/libstdc++-v3/src/c++23/std.cc.in
>> @@ -1851,7 +1851,8 @@ export namespace std
>>     using std::layout_right;
>>     using std::layout_stride;
>>     using std::default_accessor;
>> -  // FIXME layout_left_padded, layout_right_padded, aligned_accessor and
>> mdspan
>> +  using std::mdspan;
>> +  // FIXME layout_left_padded, layout_right_padded, aligned_accessor,
>> mdsubspan
>>   }
>>   #endif
>>
>> diff --git
>> a/libstdc++-v3/testsuite/23_containers/mdspan/class_mandate_neg.cc
>> b/libstdc++-v3/testsuite/23_containers/mdspan/class_mandate_neg.cc
>> new file mode 100644
>> index 00000000000..96b9a2c41bb
>> --- /dev/null
>> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/class_mandate_neg.cc
>> @@ -0,0 +1,58 @@
>> +// { dg-do compile { target c++23 } }
>> +#include<mdspan>
>> +
>> +#include <cstdint>
>> +#include "layout_like.h"
>> +
>> +struct ExtentsLike
>> +{
>> +  using index_type = int;
>> +  using size_type = unsigned int;
>> +  using rank_type = size_t;
>> +
>> +  static constexpr size_t rank() { return 1; }
>> +  static constexpr size_t rank_dynamic() { return 0; }
>> +};
>> +
>> +constexpr bool
>> +test_custom_extents_type()
>> +{
>> +  std::mdspan<double, ExtentsLike> md1; // { dg-error "required from
>> here" }
>> +  return true;
>> +}
>> +static_assert(test_custom_extents_type());
>> +
>> +constexpr bool
>> +test_element_type_mismatch()
>> +{
>> +  using E = std::extents<int, 1>;
>> +  using L = std::layout_right;
>> +  using A = std::default_accessor<double>;
>> +
>> +  [[maybe_unused]] std::mdspan<float, E, L, A> md2; // { dg-error
>> "required from here" }
>> +  return true;
>> +};
>> +static_assert(test_element_type_mismatch());
>> +
>> +template<typename Layout>
>> +constexpr bool
>> +test_invalid_multi_index()
>> +{
>> +
>> +  double data = 1.1;
>> +  auto m = typename Layout::mapping<std::extents<int, 1, 2, 3>>{};
>> +  auto md = std::mdspan(&data, m);
>> +
>> +  [[maybe_unused]] double x = md[0, 2, 2]; // { dg-error "expansion of" }
>> +  return true;
>> +};
>> +static_assert(test_invalid_multi_index<LayoutLike>()); // { dg-error
>> "expansion of" }
>> +static_assert(test_invalid_multi_index<std::layout_left>()); // {
>> dg-error "expansion of" }
>> +static_assert(test_invalid_multi_index<std::layout_right>()); // {
>> dg-error "expansion of" }
>> +static_assert(test_invalid_multi_index<std::layout_stride>()); // {
>> dg-error "expansion of" }
>> +
>> +// { dg-prune-output "Extents must be a specialization of std::extents" }
>> +// { dg-prune-output "no type named '_S_storage'" }
>> +// { dg-prune-output "non-constant condition" }
>> +// { dg-prune-output "static assertion failed" }
>> +// { dg-prune-output "__glibcxx_assert" }
>> diff --git a/libstdc++-v3/testsuite/23_containers/mdspan/layout_like.h
>> b/libstdc++-v3/testsuite/23_containers/mdspan/layout_like.h
>> new file mode 100644
>> index 00000000000..17ccf52c6a6
>> --- /dev/null
>> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/layout_like.h
>> @@ -0,0 +1,63 @@
>> +#pragma once
>> +
>> +struct LayoutLike
>>
> This is example of broadcasting layout, that returns same element for each
> indices,
> I would adjust functions to truly represent that. In particular, I would
> make it always strided,
> and return zero for each stride.

Implemented, though now it can't be used to mimic a layout
that's not strided. We have enough strided layouts, but none
that isn't. Therefore, we'd not detect if something uses
Layout::stride when Layout::is_always_strided() == false.

> 
>> +{
>> +  template<typename Extents>
>> +    class mapping
>> +    {
>> +    public:
>> +      using extents_type = Extents;
>> +      using index_type = typename extents_type::index_type;
>> +      using size_type = typename extents_type::size_type;
>> +      using rank_type = typename extents_type::rank_type;
>> +      using layout_type = LayoutLike;
>> +
>> +      constexpr
>> +      mapping() noexcept = default;
>> +
>> +      constexpr
>> +      mapping(Extents exts)
>> +      : m_exts(exts)
>> +      { }
>> +
>> +      constexpr const extents_type&
>> +      extents() const noexcept { return m_exts; }
>> +
>> +      constexpr index_type
>> +      required_span_size() const noexcept
>> +      { return 1; }
>>
> We should check if extents are empty here, and if so return 0,
> 
>> +
>> +      template<typename... Indices>
>> +       requires (sizeof...(Indices) == extents_type::rank())
>> +       constexpr index_type
>> +       operator()(Indices...) const noexcept
>> +       { return 0; }
>> +
>> +      static constexpr bool
>> +      is_always_unique() noexcept
>> +      { return false; }
>> +
>> +      static constexpr bool
>> +      is_always_exhaustive() noexcept
>> +      { return false; }
>> +
>> +      static constexpr bool
>> +      is_always_strided() noexcept
>> +      { return false; }
>> +
>> +      static constexpr bool
>> +      is_unique() noexcept
>> +      { return false; }
>> +
>> +      static constexpr bool
>> +      is_exhaustive() noexcept
>> +      { return false; }
>> +
>> +      static constexpr bool
>> +      is_strided() noexcept
>> +      { return false; }
>> +
>> +    private:
>> +      Extents m_exts;
>> +    };
>> +};
>> diff --git a/libstdc++-v3/testsuite/23_containers/mdspan/mdspan.cc
>> b/libstdc++-v3/testsuite/23_containers/mdspan/mdspan.cc
>> new file mode 100644
>> index 00000000000..d2672878d69
>> --- /dev/null
>> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/mdspan.cc
>> @@ -0,0 +1,540 @@
>> +// { dg-do run { target c++23 } }
>> +#include <mdspan>
>> +
>> +#include <testsuite_hooks.h>
>> +#include "extents/int_like.h"
>> +#include "layout_like.h"
>> +
>> +constexpr auto dyn = std::dynamic_extent;
>> +
>> +template<typename MDSpan, typename T, typename E, typename L =
>> std::layout_right,
>> +        typename A = std::default_accessor<T>>
>> +  constexpr void
>> +  assert_typedefs()
>> +  {
>> +    static_assert(std::same_as<typename MDSpan::extents_type, E>);
>> +    static_assert(std::same_as<typename MDSpan::layout_type, L>);
>> +    static_assert(std::same_as<typename MDSpan::accessor_type, A>);
>> +    static_assert(std::same_as<typename MDSpan::mapping_type,
>> +                              typename L::mapping<E>>);
>> +    static_assert(std::same_as<typename MDSpan::element_type, T>);
>> +    static_assert(std::same_as<typename MDSpan::value_type,
>> +                              std::remove_const_t<T>>);
>> +    static_assert(std::same_as<typename MDSpan::index_type,
>> +                              typename E::index_type>);
>> +    static_assert(std::same_as<typename MDSpan::size_type,
>> +                              typename E::size_type>);
>> +    static_assert(std::same_as<typename MDSpan::rank_type,
>> +                              typename E::rank_type>);
>> +    static_assert(std::same_as<typename MDSpan::data_handle_type,
>> +                              typename A::data_handle_type>);
>> +    static_assert(std::same_as<typename MDSpan::reference,
>> +                              typename A::reference>);
>> +  }
>> +
>> +template<typename T, typename E, typename L, template<typename U>
>> typename A>
>> +  constexpr void
>> +  test_typedefs()
>> +  { assert_typedefs<std::mdspan<T, E, L, A<T>>, T, E, L, A<T>>(); }
>> +
>> +constexpr void
>> +test_typedefs_all()
>> +{
>> +  using E = std::extents<int, 1, 2>;
>> +  using L = std::layout_left;
>> +
>> +  test_typedefs<double, E, L, std::default_accessor>();
>> +  test_typedefs<const double, E, L, std::default_accessor>();
>> +}
>> +
>> +template<typename MDSpan>
>> +  constexpr void
>> +  test_rank()
>> +  {
>> +    using Extents = typename MDSpan::extents_type;
>> +    static_assert(MDSpan::rank() == Extents::rank());
>> +    static_assert(MDSpan::rank_dynamic() == Extents::rank_dynamic());
>> +  }
>> +
>> +constexpr bool
>> +test_rank_all()
>> +{
>> +  test_rank<std::mdspan<double, std::extents<int>>>();
>> +  test_rank<std::mdspan<double, std::extents<int, 1>>>();
>> +  test_rank<std::mdspan<double, std::extents<int, dyn>>>();
>> +  return true;
>> +}
>> +
>> +template<typename Extents>
>> +  constexpr void
>> +  test_extent(Extents exts)
>> +  {
>> +    double data =  1.0;
>> +    auto md = std::mdspan(&data, exts);
>> +    using MDSpan = decltype(md);
>> +
>> +    for(size_t i = 0; i < MDSpan::rank(); ++i)
>> +      {
>> +       VERIFY(MDSpan::static_extent(i) == Extents::static_extent(i));
>> +       VERIFY(md.extent(i) == exts.extent(i));
>> +      }
>> +  }
>> +
>> +constexpr bool
>> +test_extent_all()
>> +{
>> +  // For rank == 0, check existence of the methods without calling them.
>> +  test_extent(std::extents<int>{});
>> +  test_extent(std::extents<int, 0>{});
>> +  test_extent(std::extents<int, dyn>{});
>> +  return true;
>> +}
>> +
>> +template<typename MDSpan>
>> +  constexpr void
>> +  test_class_properties()
>> +  {
>> +    static_assert(std::copyable<MDSpan>);
>> +    static_assert(std::is_nothrow_move_constructible_v<MDSpan>);
>> +    static_assert(std::is_nothrow_move_assignable_v<MDSpan>);
>> +    static_assert(std::is_nothrow_swappable_v<MDSpan>);
>> +    constexpr bool trivially_copyable =
>> +      std::is_trivially_copyable_v<typename MDSpan::accessor_type>
>> +      && std::is_trivially_copyable_v<typename MDSpan::mapping_type>
>> +      && std::is_trivially_copyable_v<typename MDSpan::data_handle_type>;
>> +    static_assert(std::is_trivially_copyable_v<MDSpan> ==
>> trivially_copyable);
>> +  }
>> +
>> +constexpr bool
>> +test_class_properties_all()
>> +{
>> +  test_class_properties<std::mdspan<double, std::extents<int>>>();
>> +  test_class_properties<std::mdspan<double, std::extents<int, 1>>>();
>> +  test_class_properties<std::mdspan<double, std::extents<int, dyn>>>();
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_default_ctor()
>> +{
>> +  static_assert(!std::is_default_constructible_v<std::mdspan<double,
>> +                                                std::extents<int>>>);
>> +  static_assert(!std::is_default_constructible_v<std::mdspan<double,
>> +                                                std::extents<int, 1>>>);
>> +  static_assert(std::is_default_constructible_v<std::mdspan<double,
>> +                                               std::extents<int, dyn>>>);
>> +
>> +  std::mdspan<double, std::extents<int, dyn>> md;
>> +  VERIFY(md.data_handle() == nullptr);
>> +  VERIFY(md.extent(0) == 0);
>>
> I would verify that mapping md.empty is true here, instead of checking
> extent(0).

It doesn't feel like that's expressing directly what I'm interested in,
i.e. did the storage for dynamic extents get initialized properly.

> 
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_from_other()
>> +{
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +  auto exts = Extents{};
>> +
>> +  auto mapping = std::layout_right::mapping(exts);
>> +  constexpr size_t n = mapping.required_span_size();
>> +  std::array<double, n> storage{};
>> +
>> +  auto md1 = std::mdspan(storage.data(), exts);
>> +  auto md2 = std::mdspan<double, std::dextents<int, 3>>(md1);
>> +
>> +  VERIFY(md1.data_handle() == md2.data_handle());
>> +  VERIFY(md1.size() == md2.size());
>> +
>> +  static_assert(!std::is_convertible_v<
>> +      std::mdspan<double, std::extents<unsigned int, 2>>,
>> +      std::mdspan<double, std::extents<int, 2>>>);
>>
> Check that mdspan<const double> can be constructed from mdspan<double>
> here.
> 
>> +
>> +  return true;
>> +}
>> +
>> +template<typename T, typename E, typename L = std::layout_right,
>> +        typename A = std::default_accessor<T>>
>> +  constexpr void
>> +  assert_deduced_typedefs(auto md)
>> +  { assert_typedefs<decltype(md), T, E, L, A>(); }
>> +
>> +constexpr bool
>> +test_from_carray()
>> +{
>> +  constexpr size_t n = 5;
>> +  double data[n] = {1.1, 2.2, 3.3, 4.4, 5.5};
>> +
>> +  auto md = std::mdspan(data);
>> +  assert_deduced_typedefs<double, std::extents<size_t, n>>(md);
>> +  VERIFY(md.rank() == 1);
>> +  VERIFY(md.rank_dynamic() == 0);
>> +  VERIFY(md[2] == data[2]);
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_from_pointer()
>> +{
>> +  double value = 12.3;
>> +  auto md = std::mdspan(&value);
>> +  assert_deduced_typedefs<double, std::extents<size_t>>(md);
>> +  VERIFY(md.rank() == 0);
>> +  VERIFY(md.rank_dynamic() == 0);
>> +  VERIFY(md[] == value);
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_from_pointer_and_shape()
>> +{
>> +  constexpr size_t n = 6;
>> +  std::array<double, n> data{1.1, 2.2, 3.3, 4.4, 5.5, 6.6};
>> +  std::array<int, 2> shape{2, 3};
>> +  std::span<const int, 2> shape_view(shape);
>> +
>> +  auto verify = [&data](auto md)
>> +  {
>> +    assert_deduced_typedefs<double, std::dextents<size_t, 2>>(md);
>> +    VERIFY(md.rank() == 2);
>> +    VERIFY(md.rank_dynamic() == 2);
>> +    VERIFY((md[0, 0]) == data[0]);
>> +    VERIFY((md[0, 1]) == data[1]);
>> +    VERIFY((md[1, 0]) == data[3]);
>> +  };
>> +
>> +  verify(std::mdspan(data.data(), shape[0], shape[1]));
>> +  verify(std::mdspan(data.data(), shape));
>> +  verify(std::mdspan(data.data(), shape_view));
>> +
>> +  std::mdspan<double, std::dextents<size_t, 2>> md1 = {data.data(),
>> shape};
>> +  verify(md1);
>> +
>> +  std::mdspan<double, std::dextents<size_t, 2>> md2 = {data.data(),
>> shape_view};
>> +  verify(md2);
>> +
>> +  static_assert(std::is_constructible_v<
>> +      std::mdspan<float, std::extents<int, 3, 5>>, float*>);
>> +  static_assert(!std::is_constructible_v<
>> +      std::mdspan<float, std::extents<int, 3, 5>>, float*, int>);
>> +  static_assert(std::is_constructible_v<
>> +      std::mdspan<float, std::extents<int, 3, 5>>, float*, int, int>);
>> +  static_assert(std::is_constructible_v<
>> +      std::mdspan<float, std::extents<int, 3, 5>>, float*, std::span<int,
>> 0>>);
>> +  static_assert(std::is_constructible_v<
>> +      std::mdspan<float, std::extents<int, 3, 5>>, float*, std::span<int,
>> 2>>);
>> +  static_assert(!std::is_convertible_v<
>> +      float*, std::mdspan<float, std::extents<int, 3, 5>>>);
>> +
>> +  static_assert(std::is_constructible_v<
>> +      std::mdspan<float, std::dextents<int, 2>>, float*, std::span<int,
>> 2>>);
>>
> I would add some mre negative test here, that you cannot construct it from
> std::span<3> and can from span<1>.
> 

To avoid a misunderstanding: Can or cannot construct from span<1>?

>> +  static_assert(!std::is_constructible_v<
>> +      std::mdspan<float, std::dextents<int, 2>>, float*, std::span<int,
>> dyn>>);
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_from_extents()
>> +{
>> +  constexpr size_t n = 3*5*7;
>> +  std::array<double, n> storage{};
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +  auto exts = Extents{};
>> +  auto md = std::mdspan(storage.data(), exts);
>> +
>> +  assert_deduced_typedefs<double, Extents>(md);
>> +  VERIFY(md.data_handle() == storage.data());
>> +  VERIFY(md.extents() == exts);
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_from_mapping()
>> +{
>> +  constexpr size_t n = 3*5*7;
>> +  std::array<double, n> storage{};
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +
>> +  auto exts = Extents{};
>> +  auto m = std::layout_left::mapping(exts);
>> +  auto md = std::mdspan(storage.data(), m);
>> +
>> +  assert_deduced_typedefs<double, Extents, std::layout_left>(md);
>> +  VERIFY(md.data_handle() == storage.data());
>> +  VERIFY(md.mapping() == m);
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_from_accessor()
>> +{
>> +  constexpr size_t n = 3*5*7;
>> +  std::array<double, n> storage{};
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +
>> +  auto exts = Extents{};
>> +  auto m = std::layout_left::mapping(exts);
>> +  auto a = std::default_accessor<double>{};
>> +  auto md = std::mdspan(storage.data(), m, a);
>> +
>> +  assert_deduced_typedefs<double, Extents, std::layout_left>(md);
>> +  VERIFY(md.data_handle() == storage.data());
>> +  VERIFY(md.mapping() == m);
>> +  return true;
>> +}
>> +
>> +void
>> +test_from_int_like()
>> +{
>> +  constexpr size_t n = 3*5*7;
>> +  std::array<double, n> storage{};
>> +
>> +  auto verify = [&](auto md)
>> +    {
>> +      VERIFY(md.data_handle() == storage.data());
>> +      VERIFY(md.extent(0) == 3);
>> +      VERIFY(md.extent(1) == 5);
>> +      VERIFY(md.extent(2) == 7);
>> +
>> +      VERIFY((md[IntLike(0), 0, IntLike(0)]) == 0.0);
>> +      auto zero = std::array{IntLike(0), IntLike(0), IntLike(0)};
>> +      auto zero_view = std::span<IntLike, 3>{zero};
>> +      VERIFY((md[zero]) == 0.0);
>> +      VERIFY((md[zero_view]) == 0.0);
>> +    };
>> +
>> +  auto shape = std::array{IntLike(3), IntLike(5), IntLike(7)};
>> +  auto shape_view = std::span<IntLike, 3>{shape};
>> +  verify(std::mdspan(storage.data(), IntLike(3), 5, IntLike(7)));
>> +  verify(std::mdspan(storage.data(), shape));
>> +  verify(std::mdspan(storage.data(), shape_view));
>> +}
>> +
>> +template<typename T>
>> +  class OpaqueAccessor
>> +  {
>> +    struct Handle
>> +    {
>> +      T * ptr;
>> +    };
>> +
>> +  public:
>> +    using element_type = T;
>> +    using reference = T&;
>> +    using data_handle_type = Handle;
>> +    using offset_policy = OpaqueAccessor;
>> +
>> +    reference
>> +    access(data_handle_type p, size_t i) const
>> +    {
>> +      ++access_count;
>> +      return p.ptr[i];
>> +    }
>> +
>> +    typename offset_policy::data_handle_type
>> +    offset(data_handle_type p, size_t i) const
>> +    {
>> +      ++offset_count;
>> +      return typename offset_policy::data_handle_type{(void*)(p.ptr + i)};
>> +    }
>> +
>> +    mutable size_t access_count = 0;
>> +    mutable size_t offset_count = 0;
>> +  };
>> +
>> +void
>> +test_from_opaque_accessor()
>> +{
>> +  constexpr size_t n = 3*5*7;
>> +  std::array<double, n> storage{};
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +
>> +  auto exts = Extents{};
>> +  auto m = std::layout_left::mapping(exts);
>> +  auto a = OpaqueAccessor<double>{};
>> +  auto handle = OpaqueAccessor<double>::data_handle_type{storage.data()};
>> +  auto md = std::mdspan(handle, m, a);
>> +
>> +  using MDSpan = decltype(md);
>> +  static_assert(std::same_as<MDSpan::accessor_type, decltype(a)>);
>> +
>> +  VERIFY((md[0, 0, 0]) == 0.0);
>> +  VERIFY(md.accessor().access_count == 1);
>> +
>> +  VERIFY((md[2, 4, 6]) == 0.0);
>> +  VERIFY(md.accessor().access_count == 2);
>> +}
>> +
>> +template<typename T, typename Base>
>> +  class BaseClassAccessor
>> +  {
>> +  public:
>> +    using element_type = T;
>> +    using reference = Base&;
>> +    using data_handle_type = T*;
>> +    using offset_policy = BaseClassAccessor;
>> +
>> +    static_assert(std::common_reference_with<reference&&, element_type&>);
>> +
>> +    reference
>> +    access(data_handle_type p, size_t i) const
>> +    { return p[i]; }
>> +
>> +    typename offset_policy::data_handle_type
>> +    offset(data_handle_type p, size_t i) const
>> +    { return typename offset_policy::data_handle_type{p + i}; }
>> +  };
>> +
>> +struct Base
>> +{
>> +  double value = 1.0;
>> +};
>> +
>> +struct Derived : Base
>> +{
>> +  double value = 2.0;
>> +};
>> +
>> +void
>> +test_from_base_class_accessor()
>> +{
>> +  constexpr size_t n = 3*5*7;
>> +  std::array<Derived, n> storage{};
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +
>> +  auto exts = Extents{};
>> +  auto m = std::layout_left::mapping(exts);
>> +  auto a = BaseClassAccessor<Derived, Base>{};
>> +  auto md = std::mdspan(storage.data(), m, a);
>> +
>> +  using MDSpan = decltype(md);
>> +  static_assert(std::same_as<MDSpan::accessor_type, decltype(a)>);
>> +  static_assert(std::same_as<decltype(md[0, 0, 0]), Base&>);
>> +  VERIFY((md[0, 0, 0].value) == 1.0);
>> +  VERIFY((md[2, 4, 6].value) == 1.0);
>> +}
>> +
>> +constexpr bool
>> +test_from_mapping_like()
>> +{
>> +  double data = 1.1;
>> +  auto m = LayoutLike::mapping<std::extents<int, 1, 2, 3>>{};
>> +  auto md = std::mdspan(&data, m);
>> +  VERIFY((md[0, 0, 0]) == data);
>> +  VERIFY((md[0, 1, 2]) == data);
>> +  return true;
>> +}
>> +
>> +template<typename MDSpan>
>> +  constexpr void
>> +  test_empty(MDSpan md)
>> +  {
>> +    VERIFY(md.empty() == (md.size() == 0));
>> +  }
>> +
>> +constexpr bool
>> +test_empty_all()
>> +{
>> +  test_empty(std::mdspan<double, std::extents<int, dyn>>{});
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_access()
>> +{
>> +  using Extents = std::extents<int, 3, 5, 7>;
>> +  auto exts = Extents{};
>> +
>> +  auto mapping = std::layout_left::mapping(exts);
>> +  constexpr size_t n = mapping.required_span_size();
>> +  std::array<double, n> storage{};
>> +
>> +  auto md = std::mdspan(storage.data(), mapping);
>> +  static_assert(std::__mdspan::__mapping_alike<decltype(md)>);
>> +
>> +  for(int i = 0; i < exts.extent(0); ++i)
>> +    for(int j = 0; j < exts.extent(1); ++j)
>> +      for(int k = 0; k < exts.extent(2); ++k)
>> +       {
>> +         std::array<int, 3> ijk{i, j, k};
>> +         storage[mapping(i, j, k)] = 1.0;
>> +         VERIFY((md[i, j, k]) == 1.0);
>> +         VERIFY((md[ijk]) == 1.0);
>> +         VERIFY((md[std::span(ijk)]) == 1.0);
>> +         storage[mapping(i, j, k)] = 0.0;
>> +       }
>> +  return true;
>> +}
>> +
>> +constexpr bool
>> +test_swap()
>> +{
>> +  using Extents = std::dextents<int, 2>;
>> +  auto e1 = Extents{3, 5};
>> +  auto e2 = Extents{7, 11};
>> +
>> +  std::array<double, 3*5> s1{};
>> +  std::array<double, 7*11> s2{};
>> +
>> +  auto md1 = std::mdspan(s1.data(), e1);
>> +  auto md2 = std::mdspan(s2.data(), e2);
>> +
>> +  std::swap(md1, md2);
>> +
>> +  VERIFY(md1.data_handle() == s2.data());
>> +  VERIFY(md2.data_handle() == s1.data());
>> +
>> +  VERIFY(md1.size() == s2.size());
>> +  VERIFY(md2.size() == s1.size());
>> +  return true;
>> +}
>> +
>> +int
>> +main()
>> +{
>> +  test_typedefs_all();
>> +
>> +  test_rank_all();
>> +  test_extent_all();
>> +  static_assert(test_extent_all());
>> +
>> +  test_class_properties_all();
>> +  static_assert(test_class_properties_all());
>> +
>> +  test_empty_all();
>> +  static_assert(test_empty_all());
>> +
>> +  test_default_ctor();
>> +  static_assert(test_default_ctor());
>> +
>> +  test_from_other();
>> +  static_assert(test_from_other());
>> +
>> +  test_from_carray();
>> +  static_assert(test_from_carray());
>> +
>> +  test_from_pointer_and_shape();
>> +  static_assert(test_from_pointer_and_shape());
>> +
>> +  test_from_extents();
>> +  static_assert(test_from_extents());
>> +
>> +  test_from_mapping();
>> +  static_assert(test_from_mapping());
>> +
>> +  test_from_accessor();
>> +  static_assert(test_from_accessor());
>> +
>> +  test_from_int_like();
>> +  test_from_opaque_accessor();
>> +  test_from_base_class_accessor();
>> +  test_from_mapping_like();
>> +  static_assert(test_from_mapping_like());
>> +
>> +  test_access();
>> +  static_assert(test_access());
>> +
>> +  test_swap();
>> +  static_assert(test_swap());
>> +  return 0;
>> +}
>> --
>> 2.49.0
>>
>>
> 



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