On Tue, Jun 3, 2025 at 2:50 PM Luc Grosheintz <luc.groshei...@gmail.com>
wrote:

>
>
> On 6/3/25 14:31, Tomasz Kaminski wrote:
> > On Mon, Jun 2, 2025 at 9:07 AM Luc Grosheintz <luc.groshei...@gmail.com>
> > wrote:
> >
> >>
> >>
> >> On 5/30/25 18:42, Luc Grosheintz wrote:
> >>> Implements a suite of tests for the currently implemented parts of
> >>> layout_left. The individual tests are templated over the layout type,
> to
> >>> allow reuse as more layouts are added.
> >>>
> >>> libstdc++-v3/ChangeLog:
> >>>
> >>>        * testsuite/23_containers/mdspan/layouts/class_mandate_neg.cc:
> New
> >> test.
> >>>        * testsuite/23_containers/mdspan/layouts/ctors.cc: New test.
> >>>        * testsuite/23_containers/mdspan/layouts/empty.cc: New test.
> >>>        * testsuite/23_containers/mdspan/layouts/mapping.cc: New test.
> >>>
> >>
> >> CI complains that empty.cc contains a bug on 32-bit systems. I'll
> explain
> >> below.
> >>
> >>> Signed-off-by: Luc Grosheintz <luc.groshei...@gmail.com>
> >>> ---
> >>>    .../mdspan/layouts/class_mandate_neg.cc       |  36 ++
> >>>    .../23_containers/mdspan/layouts/ctors.cc     | 280 +++++++++++
> >>>    .../23_containers/mdspan/layouts/empty.cc     |  67 +++
> >>>    .../23_containers/mdspan/layouts/mapping.cc   | 437
> ++++++++++++++++++
> >>>    4 files changed, 820 insertions(+)
> >>>    create mode 100644
> >> libstdc++-v3/testsuite/23_containers/mdspan/layouts/class_mandate_neg.cc
> >>>    create mode 100644
> >> libstdc++-v3/testsuite/23_containers/mdspan/layouts/ctors.cc
> >>>    create mode 100644
> >> libstdc++-v3/testsuite/23_containers/mdspan/layouts/empty.cc
> >>>    create mode 100644
> >> libstdc++-v3/testsuite/23_containers/mdspan/layouts/mapping.cc
> >>>
> >>> diff --git
> >>
> a/libstdc++-v3/testsuite/23_containers/mdspan/layouts/class_mandate_neg.cc
> >>
> b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/class_mandate_neg.cc
> >>> new file mode 100644
> >>> index 00000000000..62526140200
> >>> --- /dev/null
> >>> +++
> >>
> b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/class_mandate_neg.cc
> >>> @@ -0,0 +1,36 @@
> >>> +// { dg-do compile { target c++23 } }
> >>> +#include<mdspan>
> >>> +
> >>> +#include <cstdint>
> >>> +
> >>> +constexpr size_t dyn = std::dynamic_extent;
> >>> +static constexpr size_t n = std::numeric_limits<uint8_t>::max() / 2;
> >>> +
> >>> +template<typename Layout>
> >>> +  struct A
> >>> +  {
> >>> +    typename Layout::mapping<std::extents<uint8_t, n, 2>> m0;
> >>> +    typename Layout::mapping<std::extents<uint8_t, n, 2, dyn>> m1;
> >>> +    typename Layout::mapping<std::extents<uint8_t, n, 2, 0>> m2;
> >>> +
> >>> +    using extents_type = std::extents<uint8_t, n, 4>;
> >>> +    typename Layout::mapping<extents_type> m3; // { dg-error "required
> >> from" }
> >>> +  };
> >>> +
> >>> +template<size_t Count, typename Layout, typename OLayout>
> >>> +  struct B                     // { dg-error "expansion of" }
> >>> +  {
> >>> +    using Extents = std::extents<uint8_t, dyn, dyn, Count>;
> >>> +    using OExtents = std::extents<uint16_t, n, 4, Count>;
> >>> +
> >>> +    using Mapping = typename Layout::mapping<Extents>;
> >>> +    using OMapping = typename OLayout::mapping<OExtents>;
> >>> +
> >>> +    Mapping m{OMapping{}};
> >>> +  };
> >>> +
> >>> +A<std::layout_left> a_left;                      // { dg-error
> >> "required from" }
> >>> +
> >>> +B<1, std::layout_left, std::layout_left> bll;    // { dg-error
> >> "required here" }
> >>> +
> >>> +// { dg-prune-output "must be representable as index_type" }
> >>> diff --git
> >> a/libstdc++-v3/testsuite/23_containers/mdspan/layouts/ctors.cc
> >> b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/ctors.cc
> >>> new file mode 100644
> >>> index 00000000000..8e1fd2d9524
> >>> --- /dev/null
> >>> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/ctors.cc
> >>> @@ -0,0 +1,280 @@
> >>> +// { dg-do run { target c++23 } }
> >>> +#include <mdspan>
> >>> +
> >>> +#include <cstdint>
> >>> +#include <testsuite_hooks.h>
> >>> +
> >>> +constexpr size_t dyn = std::dynamic_extent;
> >>> +
> >>> +template<typename Mapping, typename IndexType, size_t... Extents>
> >>> +  constexpr void
> >>> +  verify(std::extents<IndexType, Extents...> oexts)
> >>> +  {
> >>> +    auto m = Mapping(oexts);
> >>> +    VERIFY(m.extents() == oexts);
> >>> +  }
> >>> +
> >>> +template<typename Mapping, typename OMapping>
> >>> +  requires (requires { typename OMapping::layout_type; })
> >>> +  constexpr void
> >>> +  verify(OMapping other)
> >>> +  {
> >>> +    constexpr auto rank = Mapping::extents_type::rank();
> >>> +    auto m = Mapping(other);
> >>> +    VERIFY(m.extents() == other.extents());
> >>> +    if constexpr (rank > 0)
> >>> +      for(size_t i = 0; i < rank; ++i)
> >>> +     VERIFY(std::cmp_equal(m.stride(i), other.stride(i)));
> >>> +  }
> >>> +
> >>> +
> >>> +template<typename To, typename From>
> >>> +  constexpr void
> >>> +  verify_convertible(From from)
> >>> +  {
> >>> +    static_assert(std::is_convertible_v<From, To>);
> >>> +    verify<To>(from);
> >>> +  }
> >>> +
> >>> +template<typename To, typename From>
> >>> +  constexpr void
> >>> +  verify_nothrow_convertible(From from)
> >>> +  {
> >>> +    static_assert(std::is_nothrow_constructible_v<To, From>);
> >>> +    verify_convertible<To>(from);
> >>> +  }
> >>> +
> >>> +template<typename To, typename From>
> >>> +  constexpr void
> >>> +  verify_constructible(From from)
> >>> +  {
> >>> +    static_assert(!std::is_convertible_v<From, To>);
> >>> +    static_assert(std::is_constructible_v<To, From>);
> >>> +    verify<To>(from);
> >>> +  }
> >>> +
> >>> +template<typename To, typename From>
> >>> +  constexpr void
> >>> +  verify_nothrow_constructible(From from)
> >>> +  {
> >>> +    static_assert(std::is_nothrow_constructible_v<To, From>);
> >>> +    verify_constructible<To>(from);
> >>> +  }
> >>> +
> >>> +template<typename Mapping, typename OExtents>
> >>> +  constexpr void
> >>> +  assert_not_constructible()
> >>> +  {
> >>> +    static_assert(!std::is_constructible_v<Mapping, OExtents>);
> >>> +  }
> >>> +
> >>> +// ctor: mapping()
> >>> +namespace default_ctor
> >>> +{
> >>> +  template<typename Layout, typename Extents>
> >>> +    constexpr void
> >>> +    test_default_ctor()
> >>> +    {
> >>> +      using Mapping = typename Layout::mapping<Extents>;
> >>> +
> >>> +      Mapping m;
> >>> +      for(size_t i = 0; i < Extents::rank(); ++i)
> >>> +     {
> >>> +       if (Extents::static_extent(i) == std::dynamic_extent)
> >>> +         VERIFY(m.extents().extent(i) == 0);
> >>> +       else
> >>> +         VERIFY(m.extents().static_extent(i) ==
> >> Extents::static_extent(i));
> >>> +     }
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +    constexpr bool
> >>> +    test_default_ctor_all()
> >>> +    {
> >>> +      test_default_ctor<Layout, std::extents<int, dyn>>();
> >>> +      test_default_ctor<Layout, std::extents<int, 1, 2>>();
> >>> +      test_default_ctor<Layout, std::extents<int, dyn, 2>>();
> >>> +      test_default_ctor<Layout, std::extents<int, dyn, dyn>>();
> >>> +      test_default_ctor<Layout, std::extents<int, dyn, 2, dyn>>();
> >>> +      test_default_ctor<Layout, std::extents<int, dyn, dyn, dyn>>();
> >>> +      return true;
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +  constexpr void
> >>> +  test_all()
> >>> +  {
> >>> +    test_default_ctor_all<Layout>();
> >>> +    static_assert(test_default_ctor_all<Layout>());
> >>> +  }
> >>> +}
> >>> +
> >>> +// ctor: mapping(const extents&)
> >>> +namespace from_extents
> >>> +{
> >>> +  template<typename Layout, typename Extents, typename OExtents>
> >>> +    constexpr void
> >>> +    verify_nothrow_convertible(OExtents oexts)
> >>> +    {
> >>> +      using Mapping = typename Layout::mapping<Extents>;
> >>> +      ::verify_nothrow_convertible<Mapping>(oexts);
> >>> +    }
> >>> +
> >>> +  template<typename Layout, typename Extents, typename OExtents>
> >>> +    constexpr void
> >>> +    verify_nothrow_constructible(OExtents oexts)
> >>> +    {
> >>> +      using Mapping = typename Layout::mapping<Extents>;
> >>> +      ::verify_nothrow_constructible<Mapping>(oexts);
> >>> +    }
> >>> +
> >>> +  template<typename Layout, typename Extents, typename OExtents>
> >>> +    constexpr void
> >>> +    assert_not_constructible()
> >>> +    {
> >>> +      using Mapping = typename Layout::mapping<Extents>;
> >>> +      ::assert_not_constructible<Mapping, OExtents>();
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +    constexpr bool
> >>> +    test_ctor()
> >>> +    {
> >>> +      verify_nothrow_convertible<Layout, std::extents<int>>(
> >>> +     std::extents<int>{});
> >>> +
> >>> +      verify_nothrow_convertible<Layout, std::extents<int, 2>>(
> >>> +     std::extents<int, 2>{});
> >>> +
> >>> +      verify_nothrow_convertible<Layout, std::extents<int, dyn, 3>>(
> >>> +     std::extents<int, dyn, 3>{2});
> >>> +
> >>> +      verify_nothrow_constructible<Layout, std::extents<unsigned
> int>>(
> >>> +     std::extents<int>{});
> >>> +
> >>> +      verify_nothrow_constructible<Layout, std::extents<int, dyn>>(
> >>> +     std::extents<int, 2>{});
> >>> +
> >>> +      verify_nothrow_constructible<Layout, std::extents<int, dyn, 3>>(
> >>> +     std::extents<int, 2, 3>{});
> >>> +
> >>> +      assert_not_constructible<Layout, std::extents<int>,
> >>> +                            std::extents<unsigned int>>();
> >>> +      assert_not_constructible<Layout, std::extents<int, 2>,
> >>> +                            std::extents<int, dyn>>();
> >>> +      assert_not_constructible<Layout, std::extents<int, 2, 3>,
> >>> +                            std::extents<int, dyn, 3>>();
> >>> +      return true;
> >>> +    }
> >>> +
> >>> +  template<typename Layout, typename Extents>
> >>> +    constexpr void
> >>> +    assert_deducible(Extents exts)
> >>> +    {
> >>> +      typename Layout::mapping m(exts);
> >>> +      static_assert(std::same_as<decltype(m),
> >>> +                 typename Layout::mapping<Extents>>);
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +    constexpr void
> >>> +    test_deducible()
> >>> +    {
> >>> +      assert_deducible<Layout>(std::extents<int>());
> >>> +      assert_deducible<Layout>(std::extents<int, 1>());
> >>> +      assert_deducible<Layout>(std::extents<int, 1, 2, dyn>(3));
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +    constexpr void
> >>> +    test_all()
> >>> +    {
> >>> +      test_ctor<Layout>();
> >>> +      static_assert(test_ctor<Layout>());
> >>> +      test_deducible<Layout>();
> >>> +    }
> >>> +}
> >>> +
> >>> +// ctor: mapping(mapping<OExtents>)
> >>> +namespace from_same_layout
> >>> +{
> >>> +  template<typename Layout, typename Extents, typename OExtents>
> >>> +    constexpr void
> >>> +    verify_nothrow_convertible(OExtents exts)
> >>> +    {
> >>> +      using Mapping = typename Layout::mapping<Extents>;
> >>> +      using OMapping = typename Layout::mapping<OExtents>;
> >>> +
> >>> +      ::verify_nothrow_convertible<Mapping>(OMapping(exts));
> >>> +    }
> >>> +
> >>> +  template<typename Layout, typename Extents, typename OExtents>
> >>> +    constexpr void
> >>> +    verify_nothrow_constructible(OExtents exts)
> >>> +    {
> >>> +      using Mapping = typename Layout::mapping<Extents>;
> >>> +      using OMapping = typename Layout::mapping<OExtents>;
> >>> +
> >>> +      ::verify_nothrow_constructible<Mapping>(OMapping(exts));
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +    constexpr bool
> >>> +    test_ctor()
> >>> +    {
> >>> +      verify_nothrow_convertible<Layout, std::extents<unsigned int>>(
> >>> +     std::extents<int>{});
> >>> +
> >>> +      verify_nothrow_constructible<Layout, std::extents<int>>(
> >>> +     std::extents<unsigned int>{});
> >>> +
> >>> +      assert_not_constructible<
> >>> +     typename Layout::mapping<std::extents<int>>,
> >>> +     typename Layout::mapping<std::extents<int, 1>>>();
> >>> +
> >>> +      assert_not_constructible<
> >>> +     typename Layout::mapping<std::extents<int, 1>>,
> >>> +     typename Layout::mapping<std::extents<int>>>();
> >>> +
> >>> +      verify_nothrow_constructible<Layout, std::extents<int, 1>>(
> >>> +     std::extents<int, dyn>{1});
> >>> +
> >>> +      verify_nothrow_convertible<Layout, std::extents<int, dyn>>(
> >>> +     std::extents<int, 1>{});
> >>> +
> >>> +      assert_not_constructible<
> >>> +     typename Layout::mapping<std::extents<int, 1, 2>>,
> >>> +     typename Layout::mapping<std::extents<int, 1>>>();
> >>> +
> >>> +      verify_nothrow_constructible<Layout, std::extents<int, 1, 2>>(
> >>> +     std::extents<int, dyn, 2>{1});
> >>> +
> >>> +      verify_nothrow_convertible<Layout, std::extents<int, dyn, 2>>(
> >>> +     std::extents<int, 1, 2>{});
> >>> +      return true;
> >>> +    }
> >>> +
> >>> +  template<typename Layout>
> >>> +    constexpr void
> >>> +    test_all()
> >>> +    {
> >>> +      test_ctor<Layout>();
> >>> +      static_assert(test_ctor<Layout>());
> >>> +    }
> >>> +}
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_all()
> >>> +  {
> >>> +    default_ctor::test_all<Layout>();
> >>> +    from_extents::test_all<Layout>();
> >>> +    from_same_layout::test_all<Layout>();
> >>> +  }
> >>> +
> >>> +int
> >>> +main()
> >>> +{
> >>> +  test_all<std::layout_left>();
> >>> +  return 0;
> >>> +}
> >>> diff --git
> >> a/libstdc++-v3/testsuite/23_containers/mdspan/layouts/empty.cc
> >> b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/empty.cc
> >>> new file mode 100644
> >>> index 00000000000..10843e2a2bb
> >>> --- /dev/null
> >>> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/empty.cc
> >>> @@ -0,0 +1,67 @@
> >>> +// { dg-do run { target c++23 } }
> >>> +#include <mdspan>
> >>> +
> >>> +#include <cstdint>
> >>> +#include <testsuite_hooks.h>
> >>> +
> >>> +constexpr size_t dyn = std::dynamic_extent;
> >>> +
> >>> +template<typename Mapping>
> >>> +  constexpr void
> >>> +  invoke_stride(Mapping m)
> >>> +  {
> >>> +    // Only checking for UB, e.g. signed overflow.
> >>> +    for(size_t i = 0; i < Mapping::extents_type::rank(); ++i)
> >>> +      m.stride(i);
> >>> +  }
> >>> +
> >>> +template<typename Mapping>
> >>> +  constexpr void
> >>> +  verify_required_span_size(Mapping m)
> >>> +  { VERIFY(m.required_span_size() == 0); }
> >>> +
> >>> +template<typename Mapping>
> >>> +  constexpr void
> >>> +  verify_all(Mapping m)
> >>> +  {
> >>> +    verify_required_span_size(m);
> >>> +    invoke_stride(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout, typename Int>
> >>> +constexpr void
> >>> +test_default_constructed()
> >>> +{
> >>> +  constexpr auto n = std::numeric_limits<Int>::max();
> >>> +  verify_all(typename Layout::mapping<std::extents<Int, n, n, 0, n,
> >> n>>{});
> >>> +  verify_all(typename Layout::mapping<std::extents<Int, 0, n, n,
> n>>{});
> >>> +  verify_all(typename Layout::mapping<std::extents<Int, dyn, n, n,
> >> n>>{});
> >>> +  verify_all(typename Layout::mapping<std::extents<Int, n, n, n,
> 0>>{});
> >>> +  verify_all(typename Layout::mapping<std::extents<Int, n, n, n,
> >> dyn>>{});
> >>> +}
> >>
> >> The problem here are cases where
> >>
> >>     sizeof(Int) >= sizeof(size_t)
> >>
> >> and it comes in two variations:
> >>
> >>     1. 32-bit systems: failure due to narrowing conversion from `long
> long
> >>        int` to size_t, which is the bug that the CI found.
> >>
> >
> >>     2. any system: If `sizeof(Int) == sizeof(size_t) &&
> is_unsigned_v<Int>`
> >>        then `n == std::dynamic_extents` and the test is ineffective.
> >>
> >> Proposed solution:
> >>
> >>     constexpr Int n1 = std::numeric_limits<Int>::max();
> >>     constexpr size_t n2 = std::numeric_limits<size_t>::max() - 1;
> >>     constexpr size_t n = std::cmp_less(n1, n2) ? size_t(n1) : n2;
> >>
> > And I would replace: std::numeric_limits<size_t>::max() - 1 with
> > dynamic_extent-1.
> > This would make it more clear for the reader. You can also add a
> > constructor.
> >>
> >>
> >>
> -------------------------------------------------------------------------
> >>
> >> The tests are also insufficient because they don't cover cases where
> >> the overflow could happen while multiplying dynamic extents.
> >>
> > In which code path that multiplication will happen? I think it will
> always
> > trigger
> > the preconditions in the constructor.
> >
>
> Look at the extents, they're all either:
>    * fully static with a 0,
>    * or have one dyn which is 0.
>
> What we don't check is the case where we have 4 dynamic extents,
> one is 0 and the rest are huge, e.g.
>
>    layout_left::mapping(std::dextents<Int, 4>(n, n, n, 0));
>
> This matters because we split __exts_prod as follow:
>    __exts_prod = __sta_prod * __dyn_prod
>
> (The notation isn't very precise, but is gets to the core.)
>
> We've carefully checked that there's no overflow in computing
> __sta_prod but not __dyn_prod.
>
We checked that overflow does not happen for non-degenerate cases,
where none of the extents is zero in `__is_representable_extents`. So only
cases
that remain are one where at least one is zero. In this case we perform
computation
in the size_t, and cast  index type to it.

However, if you are referring to a situation when index_type is greater
than size_type,
and contains values that do not fit size_type, such mapping is unusable
with mdspan,
as accessors are required to accept size_t. So even if you produce greater
value from mapping,
you cannot call accessor with it. This applies to accessors that are always
returning the same element.
So, I would ignore these cases for now, and I will try to get
clarification, if we are missing some requirements.
My preference would be to Mandate that sizoef(index_type) <= sizeof(size_t)
in extents.

>
> The way this could cause issues is via m.stride(i) (for layout_left
> and layout_right) or maybe in `required_span_size()` (if one doesn't
> prescan for 0).


> Remember the cases in empty.cc don't trigger the precondition, because
> the required span size is 0.
>
> >>
> >>> +
> >>> +template<typename Layout>
> >>> +constexpr bool
> >>> +test_all()
> >>> +{
> >>> +  test_default_constructed<Layout, signed char>();
> >>> +  test_default_constructed<Layout, short int>();
> >>> +  test_default_constructed<Layout, int>();
> >>> +  test_default_constructed<Layout, long int>();
> >>> +  test_default_constructed<Layout, long long int>();
> >>> +
> >>> +  test_default_constructed<Layout, unsigned char>();
> >>> +  test_default_constructed<Layout, unsigned short int>();
> >>> +  test_default_constructed<Layout, unsigned int>();
> >>> +  test_default_constructed<Layout, unsigned long int>();
> >>> +  test_default_constructed<Layout, unsigned long long int>();
> >>> +  test_default_constructed<Layout, size_t>();
> >>> +  return true;
> >>> +}
> >>> +
> >>> +int
> >>> +main()
> >>> +{
> >>> +  static_assert(test_all<std::layout_left>());
> >>> +  return 0;
> >>> +}
> >>> diff --git
> >> a/libstdc++-v3/testsuite/23_containers/mdspan/layouts/mapping.cc
> >> b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/mapping.cc
> >>> new file mode 100644
> >>> index 00000000000..a5be1166617
> >>> --- /dev/null
> >>> +++ b/libstdc++-v3/testsuite/23_containers/mdspan/layouts/mapping.cc
> >>> @@ -0,0 +1,437 @@
> >>> +// { dg-do run { target c++23 } }
> >>> +#include <mdspan>
> >>> +
> >>> +#include <cstdint>
> >>> +#include <testsuite_hooks.h>
> >>> +
> >>> +constexpr size_t dyn = std::dynamic_extent;
> >>> +
> >>> +template<typename Layout, typename Extents>
> >>> +  constexpr bool
> >>> +  test_mapping_properties()
> >>> +  {
> >>> +    using M = typename Layout::mapping<Extents>;
> >>> +    static_assert(std::__mdspan::__is_extents<typename
> >> M::extents_type>);
> >>> +    static_assert(std::copyable<M>);
> >>> +    static_assert(std::is_nothrow_move_constructible_v<M>);
> >>> +    static_assert(std::is_nothrow_move_assignable_v<M>);
> >>> +    static_assert(std::is_nothrow_swappable_v<M>);
> >>> +    static_assert(std::is_same_v<typename M::extents_type, Extents>);
> >>> +    static_assert(std::is_same_v<typename M::index_type,
> >>> +                              typename M::extents_type::index_type>);
> >>> +    static_assert(std::is_same_v<typename M::size_type,
> >>> +                              typename M::extents_type::size_type>);
> >>> +    static_assert(std::is_same_v<typename M::rank_type,
> >>> +                              typename M::extents_type::rank_type>);
> >>> +    static_assert(std::is_same_v<typename M::layout_type, Layout>);
> >>> +
> >>> +    static_assert(std::is_trivially_copyable_v<M>);
> >>> +    static_assert(std::regular<M>);
> >>> +
> >>> +    static_assert(M::is_always_unique() && M::is_unique());
> >>> +    static_assert(M::is_always_strided() && M::is_strided());
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr bool
> >>> +  test_mapping_properties_all()
> >>> +  {
> >>> +    test_mapping_properties<Layout, std::extents<int>>();
> >>> +    test_mapping_properties<Layout, std::extents<int, 1>>();
> >>> +    test_mapping_properties<Layout, std::extents<int, dyn>>();
> >>> +    test_mapping_properties<Layout, std::extents<int, dyn, dyn>>();
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +// Check operator()(Indices...)
> >>> +template<typename Mapping, size_t N>
> >>> +  constexpr typename Mapping::index_type
> >>> +  linear_index(const Mapping& mapping,
> >>> +            const std::array<typename Mapping::index_type, N>&
> indices)
> >>> +  {
> >>> +    typename Mapping::index_type ret = 0;
> >>> +    for(size_t r = 0; r < indices.size(); ++r)
> >>> +      ret += indices[r] * mapping.stride(r);
> >>> +    return ret;
> >>> +  }
> >>> +
> >>> +template<typename Mapping, typename... Indices>
> >>> +  constexpr void
> >>> +  test_linear_index(const Mapping& m, Indices... i)
> >>> +  {
> >>> +    using index_type = typename Mapping::index_type;
> >>> +    index_type expected = linear_index(m,
> std::array{index_type(i)...});
> >>> +    VERIFY(m(i...) == expected);
> >>> +    VERIFY(m(uint8_t(i)...) == expected);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_linear_index_0d()
> >>> +  {
> >>> +    constexpr typename Layout::mapping<std::extents<int>> m;
> >>> +    VERIFY(m() == 0);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_linear_index_1d()
> >>> +  {
> >>> +    typename Layout::mapping<std::extents<int, 5>> m;
> >>> +    test_linear_index(m, 0);
> >>> +    test_linear_index(m, 1);
> >>> +    test_linear_index(m, 4);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_linear_index_2d()
> >>> +  {
> >>> +    typename Layout::mapping<std::extents<int, 3, 256>> m;
> >>> +    test_linear_index(m, 0, 0);
> >>> +    test_linear_index(m, 1, 0);
> >>> +    test_linear_index(m, 0, 1);
> >>> +    test_linear_index(m, 1, 1);
> >>> +    test_linear_index(m, 2, 4);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  struct MappingFactory
> >>> +  {
> >>> +    template<typename Extents>
> >>> +      static constexpr typename Layout::mapping<Extents>
> >>> +      create(Extents exts)
> >>> +      { return exts; }
> >>> +  };
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_linear_index_3d()
> >>> +  {
> >>> +    auto m = MappingFactory<Layout>::create(std::extents(3, 5, 7));
> >>> +    test_linear_index(m, 0, 0, 0);
> >>> +    test_linear_index(m, 1, 0, 0);
> >>> +    test_linear_index(m, 0, 1, 0);
> >>> +    test_linear_index(m, 0, 0, 1);
> >>> +    test_linear_index(m, 1, 1, 0);
> >>> +    test_linear_index(m, 2, 4, 6);
> >>> +  }
> >>> +
> >>> +struct IntLikeA
> >>> +{
> >>> +  operator int()
> >>> +  { return 0; }
> >>> +};
> >>> +
> >>> +struct IntLikeB
> >>> +{
> >>> +  operator int() noexcept
> >>> +  { return 0; }
> >>> +};
> >>> +
> >>> +struct NotIntLike
> >>> +{ };
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_has_linear_index_0d()
> >>> +  {
> >>> +    using Mapping = typename Layout::mapping<std::extents<int>>;
> >>> +    static_assert(std::invocable<Mapping>);
> >>> +    static_assert(!std::invocable<Mapping, int>);
> >>> +    static_assert(!std::invocable<Mapping, IntLikeA>);
> >>> +    static_assert(!std::invocable<Mapping, IntLikeB>);
> >>> +    static_assert(!std::invocable<Mapping, NotIntLike>);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_has_linear_index_1d()
> >>> +  {
> >>> +    using Mapping = typename Layout::mapping<std::extents<int, 3>>;
> >>> +    static_assert(std::invocable<Mapping, int>);
> >>> +    static_assert(!std::invocable<Mapping>);
> >>> +    static_assert(!std::invocable<Mapping, IntLikeA>);
> >>> +    static_assert(std::invocable<Mapping, IntLikeB>);
> >>> +    static_assert(!std::invocable<Mapping, NotIntLike>);
> >>> +    static_assert(std::invocable<Mapping, double>);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_has_linear_index_2d()
> >>> +  {
> >>> +    using Mapping = typename Layout::mapping<std::extents<int, 3, 5>>;
> >>> +    static_assert(std::invocable<Mapping, int, int>);
> >>> +    static_assert(!std::invocable<Mapping, int>);
> >>> +    static_assert(!std::invocable<Mapping, IntLikeA, int>);
> >>> +    static_assert(std::invocable<Mapping, IntLikeB, int>);
> >>> +    static_assert(!std::invocable<Mapping, NotIntLike, int>);
> >>> +    static_assert(std::invocable<Mapping, double, double>);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr bool
> >>> +  test_linear_index_all()
> >>> +  {
> >>> +    test_linear_index_0d<Layout>();
> >>> +    test_linear_index_1d<Layout>();
> >>> +    test_linear_index_2d<Layout>();
> >>> +    test_linear_index_3d<Layout>();
> >>> +    test_has_linear_index_0d<Layout>();
> >>> +    test_has_linear_index_1d<Layout>();
> >>> +    test_has_linear_index_2d<Layout>();
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +template<typename Mapping>
> >>> +  constexpr typename Mapping::index_type
> >>> +  linear_index_end(Mapping m)
> >>> +  {
> >>> +    using index_type = typename Mapping::index_type;
> >>> +    constexpr size_t rank = Mapping::extents_type::rank();
> >>> +
> >>> +    auto impl = [m]<index_type... Counts>(
> >>> +     std::integer_sequence<index_type, Counts...>) -> index_type
> >>> +      {
> >>> +     auto exts = m.extents();
> >>> +     if(((exts.extent(Counts) == 0) || ...))
> >>> +       return 0;
> >>> +     return m((exts.extent(Counts) - 1)...) + 1;
> >>> +      };
> >>> +
> >>> +    return impl(std::make_integer_sequence<index_type, rank>());
> >>> +  }
> >>> +
> >>> +// Check required_span_size
> >>> +template<typename Mapping>
> >>> +  constexpr void
> >>> +  test_required_span_size(Mapping m)
> >>> +  { VERIFY(m.required_span_size() == linear_index_end(m)); }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_required_span_size_0d()
> >>> +  {
> >>> +    typename Layout::mapping<std::extents<int>> m;
> >>> +    test_required_span_size(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_required_span_size_1d()
> >>> +  {
> >>> +    auto m = MappingFactory<Layout>::create(std::extents(3));
> >>> +    test_required_span_size(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_required_span_size_2d()
> >>> +  {
> >>> +    auto m = MappingFactory<Layout>::create(std::extents(3, 5));
> >>> +    test_required_span_size(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_required_span_size_3d()
> >>> +  {
> >>> +    auto m = MappingFactory<Layout>::create(std::extents(3, 5, 7));
> >>> +    test_required_span_size(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_required_span_size_zero_1d()
> >>> +  {
> >>> +    auto m = MappingFactory<Layout>::create(std::extents(3, 0));
> >>> +    test_required_span_size(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_required_span_size_zero_3d()
> >>> +  {
> >>> +    auto m = MappingFactory<Layout>::create(std::extents(3, 0, 7));
> >>> +    test_required_span_size(m);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr bool
> >>> +  test_required_span_size_all()
> >>> +  {
> >>> +    test_required_span_size_0d<Layout>();
> >>> +    test_required_span_size_1d<Layout>();
> >>> +    test_required_span_size_2d<Layout>();
> >>> +    test_required_span_size_3d<Layout>();
> >>> +    test_required_span_size_zero_1d<Layout>();
> >>> +    test_required_span_size_zero_3d<Layout>();
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +// Check stride
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_stride_1d()
> >>> +  {
> >>> +    std::layout_left::mapping<std::extents<int, 3>> m;
> >>> +    VERIFY(m.stride(0) == 1);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_stride_2d();
> >>> +
> >>> +template<>
> >>> +  constexpr void
> >>> +  test_stride_2d<std::layout_left>()
> >>> +  {
> >>> +    std::layout_left::mapping<std::extents<int, 3, 5>> m;
> >>> +    VERIFY(m.stride(0) == 1);
> >>> +    VERIFY(m.stride(1) == 3);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_stride_3d();
> >>> +
> >>> +template<>
> >>> +  constexpr void
> >>> +  test_stride_3d<std::layout_left>()
> >>> +  {
> >>> +    std::layout_left::mapping m(std::dextents<int, 3>(3, 5, 7));
> >>> +    VERIFY(m.stride(0) == 1);
> >>> +    VERIFY(m.stride(1) == 3);
> >>> +    VERIFY(m.stride(2) == 3*5);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr bool
> >>> +  test_stride_all()
> >>> +  {
> >>> +    test_stride_1d<Layout>();
> >>> +    test_stride_2d<Layout>();
> >>> +    test_stride_3d<Layout>();
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +template<typename Mapping>
> >>> +  concept has_stride = requires (Mapping m)
> >>> +  {
> >>> +    { m.stride(0) } -> std::same_as<typename Mapping::index_type>;
> >>> +  };
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_has_stride_0d()
> >>> +  {
> >>> +    using Mapping = typename Layout::mapping<std::extents<int>>;
> >>> +    constexpr bool expected = false;
> >>> +    static_assert(has_stride<Mapping> == expected);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_has_stride_1d()
> >>> +  { static_assert(has_stride<typename
> Layout::mapping<std::extents<int,
> >> 1>>>); }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_has_stride_2d()
> >>> +  {
> >>> +    using Extents = std::extents<int, 1, 2>;
> >>> +    static_assert(has_stride<typename Layout::mapping<Extents>>);
> >>> +  }
> >>> +
> >>> +// Check operator==
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_eq()
> >>> +  {
> >>> +    typename Layout::mapping<std::extents<int, 1, 2>> m1;
> >>> +    typename Layout::mapping<std::extents<int, 2, 2>> m2;
> >>> +    typename Layout::mapping<std::dextents<int, 2>> m3(m1);
> >>> +
> >>> +    VERIFY(m1 == m1);
> >>> +    VERIFY(m1 != m2);
> >>> +    VERIFY(m1 == m3);
> >>> +    VERIFY(m2 != m3);
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_eq_zero()
> >>> +  {
> >>> +    typename Layout::mapping<std::extents<int, 0, 2>> m1;
> >>> +    typename Layout::mapping<std::extents<int, 0, 2>> m2;
> >>> +    typename Layout::mapping<std::extents<int, 2, 0>> m3;
> >>> +
> >>> +    VERIFY(m1 == m2);
> >>> +    VERIFY(m1 != m3);
> >>> +  }
> >>> +
> >>> +template<typename M1, typename M2>
> >>> +  concept has_op_eq = requires (M1 m1, M2 m2)
> >>> +  {
> >>> +    { m1 == m2 } -> std::same_as<bool>;
> >>> +    { m2 == m1 } -> std::same_as<bool>;
> >>> +    { m1 != m2 } -> std::same_as<bool>;
> >>> +    { m2 != m1 } -> std::same_as<bool>;
> >>> +  };
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr bool
> >>> +  test_has_op_eq()
> >>> +  {
> >>> +    static_assert(!has_op_eq<
> >>> +     typename Layout::mapping<std::extents<int, 1, 2>>,
> >>> +     typename Layout::mapping<std::extents<int, 1>>>);
> >>> +
> >>> +    static_assert(has_op_eq<
> >>> +     typename Layout::mapping<std::extents<int, 1>>,
> >>> +     typename Layout::mapping<std::extents<int, 1>>>);
> >>> +
> >>> +    static_assert(has_op_eq<
> >>> +     typename Layout::mapping<std::extents<int, 1>>,
> >>> +     typename Layout::mapping<std::extents<int, 2>>>);
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr bool
> >>> +  test_mapping_all()
> >>> +  {
> >>> +    test_linear_index_all<Layout>();
> >>> +    test_required_span_size_all<Layout>();
> >>> +    test_stride_all<Layout>();
> >>> +
> >>> +    test_eq<Layout>();
> >>> +    test_eq_zero<Layout>();
> >>> +    return true;
> >>> +  }
> >>> +
> >>> +template<typename Layout>
> >>> +  constexpr void
> >>> +  test_all()
> >>> +  {
> >>> +    static_assert(std::is_trivially_default_constructible_v<Layout>);
> >>> +    static_assert(std::is_trivially_copyable_v<Layout>);
> >>> +    static_assert(test_mapping_properties_all<Layout>());
> >>> +
> >>> +    test_mapping_all<Layout>();
> >>> +    static_assert(test_mapping_all<Layout>());
> >>> +
> >>> +    test_has_stride_0d<Layout>();
> >>> +    test_has_stride_1d<Layout>();
> >>> +    test_has_stride_2d<Layout>();
> >>> +    test_has_op_eq<Layout>();
> >>> +  }
> >>> +
> >>> +int
> >>> +main()
> >>> +{
> >>> +  test_all<std::layout_left>();
> >>> +  return 0;
> >>> +}
> >>
> >>
> >
>
>

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