TheRock/math-libs/libhipcxx/include/cuda/std/__iterator/concepts.h

// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// SPDX-FileCopyrightText: Copyright (c) 2023 NVIDIA CORPORATION & AFFILIATES.
//
//===----------------------------------------------------------------------===//

#ifndef _LIBCUDACXX___ITERATOR_CONCEPTS_H
#define _LIBCUDACXX___ITERATOR_CONCEPTS_H

#include <cuda/std/detail/__config>

#if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC)
#  pragma GCC system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG)
#  pragma clang system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC)
#  pragma system_header
#endif // no system header

#include <cuda/std/__concepts/arithmetic.h>
#include <cuda/std/__concepts/assignable.h>
#include <cuda/std/__concepts/common_reference_with.h>
#include <cuda/std/__concepts/constructible.h>
#include <cuda/std/__concepts/copyable.h>
#include <cuda/std/__concepts/derived_from.h>
#include <cuda/std/__concepts/equality_comparable.h>
#include <cuda/std/__concepts/invocable.h>
#include <cuda/std/__concepts/movable.h>
#include <cuda/std/__concepts/predicate.h>
#include <cuda/std/__concepts/regular.h>
#include <cuda/std/__concepts/relation.h>
#include <cuda/std/__concepts/same_as.h>
#include <cuda/std/__concepts/semiregular.h>
#include <cuda/std/__concepts/totally_ordered.h>
#include <cuda/std/__functional/invoke.h>
#include <cuda/std/__iterator/incrementable_traits.h>
#include <cuda/std/__iterator/iter_move.h>
#include <cuda/std/__iterator/iterator_traits.h>
#include <cuda/std/__iterator/readable_traits.h>
#include <cuda/std/__memory/pointer_traits.h>
#include <cuda/std/__type_traits/add_pointer.h>
#include <cuda/std/__type_traits/common_reference.h>
#include <cuda/std/__type_traits/conjunction.h>
#include <cuda/std/__type_traits/enable_if.h>
#include <cuda/std/__type_traits/remove_cv.h>
#include <cuda/std/__type_traits/remove_cvref.h>
#include <cuda/std/__type_traits/void_t.h>
#include <cuda/std/__utility/forward.h>

_LIBCUDACXX_BEGIN_NAMESPACE_STD

#if !defined(_CCCL_NO_CONCEPTS)

// [iterator.concept.readable]
template <class _In>
concept __indirectly_readable_impl =
  requires(const _In __i) {
    typename iter_value_t<_In>;
    typename iter_reference_t<_In>;
    typename iter_rvalue_reference_t<_In>;
    { *__i } -> same_as<iter_reference_t<_In>>;
    { _CUDA_VRANGES::iter_move(__i) } -> same_as<iter_rvalue_reference_t<_In>>;
  } && common_reference_with<iter_reference_t<_In>&&, iter_value_t<_In>&>
  && common_reference_with<iter_reference_t<_In>&&, iter_rvalue_reference_t<_In>&&>
  && common_reference_with<iter_rvalue_reference_t<_In>&&, const iter_value_t<_In>&>;

template <class _In>
concept indirectly_readable = __indirectly_readable_impl<remove_cvref_t<_In>>;

template <indirectly_readable _Tp>
using iter_common_reference_t = common_reference_t<iter_reference_t<_Tp>, iter_value_t<_Tp>&>;

// [iterator.concept.writable]
template <class _Out, class _Tp>
concept indirectly_writable = requires(_Out&& __o, _Tp&& __t) {
  *__o                            = _CUDA_VSTD::forward<_Tp>(__t); // not required to be equality-preserving
  *_CUDA_VSTD::forward<_Out>(__o) = _CUDA_VSTD::forward<_Tp>(__t); // not required to be equality-preserving
  const_cast<const iter_reference_t<_Out>&&>(*__o) = _CUDA_VSTD::forward<_Tp>(__t); // not required to be
                                                                                    // equality-preserving
  const_cast<const iter_reference_t<_Out>&&>(*_CUDA_VSTD::forward<_Out>(__o)) =
    _CUDA_VSTD::forward<_Tp>(__t); // not required to be equality-preserving
};

// [iterator.concept.winc]
template <class _Tp>
concept __integer_like = integral<_Tp> && !same_as<_Tp, bool>;

template <class _Tp>
concept __signed_integer_like = signed_integral<_Tp>;

template <class _Ip>
concept weakly_incrementable =
  // TODO: remove this once the clang bug is fixed (bugs.llvm.org/PR48173).
  !same_as<_Ip, bool> && // Currently, clang does not handle bool correctly.
  movable<_Ip> && requires(_Ip __i) {
    typename iter_difference_t<_Ip>;
    requires __signed_integer_like<iter_difference_t<_Ip>>;
    { ++__i } -> same_as<_Ip&>; // not required to be equality-preserving
    __i++; // not required to be equality-preserving
  };

// [iterator.concept.inc]
template <class _Ip>
concept incrementable = regular<_Ip> && weakly_incrementable<_Ip> && requires(_Ip __i) {
  { __i++ } -> same_as<_Ip>;
};

// [iterator.concept.iterator]
template <class _Ip>
concept input_or_output_iterator = requires(_Ip __i) {
  { *__i } -> __can_reference;
} && weakly_incrementable<_Ip>;

// [iterator.concept.sentinel]
template <class _Sp, class _Ip>
concept sentinel_for = semiregular<_Sp> && input_or_output_iterator<_Ip> && __weakly_equality_comparable_with<_Sp, _Ip>;

template <class, class>
inline constexpr bool disable_sized_sentinel_for = false;

template <class _Sp, class _Ip>
concept sized_sentinel_for =
  sentinel_for<_Sp, _Ip> && !disable_sized_sentinel_for<remove_cv_t<_Sp>, remove_cv_t<_Ip>>
  && requires(const _Ip& __i, const _Sp& __s) {
       { __s - __i } -> same_as<iter_difference_t<_Ip>>;
       { __i - __s } -> same_as<iter_difference_t<_Ip>>;
     };

// [iterator.concept.input]
template <class _Ip>
concept input_iterator = input_or_output_iterator<_Ip> && indirectly_readable<_Ip> && requires {
  typename _ITER_CONCEPT<_Ip>;
} && derived_from<_ITER_CONCEPT<_Ip>, input_iterator_tag>;

// [iterator.concept.output]
template <class _Ip, class _Tp>
concept output_iterator =
  input_or_output_iterator<_Ip> && indirectly_writable<_Ip, _Tp> && requires(_Ip __it, _Tp&& __t) {
    *__it++ = _CUDA_VSTD::forward<_Tp>(__t); // not required to be equality-preserving
  };

// [iterator.concept.forward]
template <class _Ip>
concept forward_iterator = input_iterator<_Ip> && derived_from<_ITER_CONCEPT<_Ip>, forward_iterator_tag>
                        && incrementable<_Ip> && sentinel_for<_Ip, _Ip>;

// [iterator.concept.bidir]
template <class _Ip>
concept bidirectional_iterator =
  forward_iterator<_Ip> && derived_from<_ITER_CONCEPT<_Ip>, bidirectional_iterator_tag> && requires(_Ip __i) {
    { --__i } -> same_as<_Ip&>;
    { __i-- } -> same_as<_Ip>;
  };

template <class _Ip>
concept random_access_iterator =
  bidirectional_iterator<_Ip> && derived_from<_ITER_CONCEPT<_Ip>, random_access_iterator_tag> && totally_ordered<_Ip>
  && sized_sentinel_for<_Ip, _Ip> && requires(_Ip __i, const _Ip __j, const iter_difference_t<_Ip> __n) {
       { __i += __n } -> same_as<_Ip&>;
       { __j + __n } -> same_as<_Ip>;
       { __n + __j } -> same_as<_Ip>;
       { __i -= __n } -> same_as<_Ip&>;
       { __j - __n } -> same_as<_Ip>;
       { __j[__n] } -> same_as<iter_reference_t<_Ip>>;
     };

template <class _Ip>
concept contiguous_iterator =
  random_access_iterator<_Ip> && derived_from<_ITER_CONCEPT<_Ip>, contiguous_iterator_tag>
  && is_lvalue_reference_v<iter_reference_t<_Ip>> && same_as<iter_value_t<_Ip>, remove_cvref_t<iter_reference_t<_Ip>>>
  && requires(const _Ip& __i) {
       { _CUDA_VSTD::to_address(__i) } -> same_as<add_pointer_t<iter_reference_t<_Ip>>>;
     };

template <class _Ip>
concept __has_arrow = input_iterator<_Ip> && (is_pointer_v<_Ip> || requires(_Ip __i) { __i.operator->(); });

template <class _Ip>
concept __has_const_arrow = (is_pointer_v<_Ip> || requires(const _Ip __i) { __i.operator->(); });

// [indirectcallable.indirectinvocable]
template <class _Fp, class _It>
concept indirectly_unary_invocable =
  indirectly_readable<_It> && copy_constructible<_Fp> && invocable<_Fp&, iter_value_t<_It>&>
  && invocable<_Fp&, iter_reference_t<_It>> && invocable<_Fp&, iter_common_reference_t<_It>>
  && common_reference_with<invoke_result_t<_Fp&, iter_value_t<_It>&>, invoke_result_t<_Fp&, iter_reference_t<_It>>>;

template <class _Fp, class _It>
concept indirectly_regular_unary_invocable =
  indirectly_readable<_It> && copy_constructible<_Fp> && regular_invocable<_Fp&, iter_value_t<_It>&>
  && regular_invocable<_Fp&, iter_reference_t<_It>> && regular_invocable<_Fp&, iter_common_reference_t<_It>>
  && common_reference_with<invoke_result_t<_Fp&, iter_value_t<_It>&>, invoke_result_t<_Fp&, iter_reference_t<_It>>>;

template <class _Fp, class _It>
concept indirect_unary_predicate =
  indirectly_readable<_It> && copy_constructible<_Fp> && predicate<_Fp&, iter_value_t<_It>&>
  && predicate<_Fp&, iter_reference_t<_It>> && predicate<_Fp&, iter_common_reference_t<_It>>;

template <class _Fp, class _It1, class _It2>
concept indirect_binary_predicate =
  indirectly_readable<_It1> && indirectly_readable<_It2> && copy_constructible<_Fp>
  && predicate<_Fp&, iter_value_t<_It1>&, iter_value_t<_It2>&>
  && predicate<_Fp&, iter_value_t<_It1>&, iter_reference_t<_It2>>
  && predicate<_Fp&, iter_reference_t<_It1>, iter_value_t<_It2>&>
  && predicate<_Fp&, iter_reference_t<_It1>, iter_reference_t<_It2>>
  && predicate<_Fp&, iter_common_reference_t<_It1>, iter_common_reference_t<_It2>>;

template <class _Fp, class _It1, class _It2 = _It1>
concept indirect_equivalence_relation =
  indirectly_readable<_It1> && indirectly_readable<_It2> && copy_constructible<_Fp>
  && equivalence_relation<_Fp&, iter_value_t<_It1>&, iter_value_t<_It2>&>
  && equivalence_relation<_Fp&, iter_value_t<_It1>&, iter_reference_t<_It2>>
  && equivalence_relation<_Fp&, iter_reference_t<_It1>, iter_value_t<_It2>&>
  && equivalence_relation<_Fp&, iter_reference_t<_It1>, iter_reference_t<_It2>>
  && equivalence_relation<_Fp&, iter_common_reference_t<_It1>, iter_common_reference_t<_It2>>;

template <class _Fp, class _It1, class _It2 = _It1>
concept indirect_strict_weak_order =
  indirectly_readable<_It1> && indirectly_readable<_It2> && copy_constructible<_Fp>
  && strict_weak_order<_Fp&, iter_value_t<_It1>&, iter_value_t<_It2>&>
  && strict_weak_order<_Fp&, iter_value_t<_It1>&, iter_reference_t<_It2>>
  && strict_weak_order<_Fp&, iter_reference_t<_It1>, iter_value_t<_It2>&>
  && strict_weak_order<_Fp&, iter_reference_t<_It1>, iter_reference_t<_It2>>
  && strict_weak_order<_Fp&, iter_common_reference_t<_It1>, iter_common_reference_t<_It2>>;

template <class _Fp, class... _Its>
  requires(indirectly_readable<_Its> && ...) && invocable<_Fp, iter_reference_t<_Its>...>
using indirect_result_t = invoke_result_t<_Fp, iter_reference_t<_Its>...>;

template <class _In, class _Out>
concept indirectly_movable = indirectly_readable<_In> && indirectly_writable<_Out, iter_rvalue_reference_t<_In>>;

template <class _In, class _Out>
concept indirectly_movable_storable =
  indirectly_movable<_In, _Out> && indirectly_writable<_Out, iter_value_t<_In>> && movable<iter_value_t<_In>>
  && constructible_from<iter_value_t<_In>, iter_rvalue_reference_t<_In>>
  && assignable_from<iter_value_t<_In>&, iter_rvalue_reference_t<_In>>;

template <class _In, class _Out>
concept indirectly_copyable = indirectly_readable<_In> && indirectly_writable<_Out, iter_reference_t<_In>>;

template <class _In, class _Out>
concept indirectly_copyable_storable =
  indirectly_copyable<_In, _Out> && indirectly_writable<_Out, iter_value_t<_In>&>
  && indirectly_writable<_Out, const iter_value_t<_In>&> && indirectly_writable<_Out, iter_value_t<_In>&&>
  && indirectly_writable<_Out, const iter_value_t<_In>&&> && copyable<iter_value_t<_In>>
  && constructible_from<iter_value_t<_In>, iter_reference_t<_In>>
  && assignable_from<iter_value_t<_In>&, iter_reference_t<_In>>;

// Note: indirectly_swappable is located in iter_swap.h to prevent a dependency cycle
// (both iter_swap and indirectly_swappable require indirectly_readable).

#else // ^^^ !_CCCL_NO_CONCEPTS ^^^ / vvv _CCCL_NO_CONCEPTS vvv

// [iterator.concept.readable]
template <class _In>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_readable_impl_,
  requires(const _In __i)(
    typename(iter_value_t<_In>),
    typename(iter_reference_t<_In>),
    typename(iter_rvalue_reference_t<_In>),
    requires(same_as<iter_reference_t<_In>, decltype(*__i)>),
    requires(same_as<iter_rvalue_reference_t<_In>, decltype(_CUDA_VRANGES::iter_move(__i))>),
    requires(common_reference_with<iter_reference_t<_In>&&, iter_value_t<_In>&>),
    requires(common_reference_with<iter_reference_t<_In>&&, iter_rvalue_reference_t<_In>&&>),
    requires(common_reference_with<iter_rvalue_reference_t<_In>&&, const iter_value_t<_In>&>)));

template <class _In>
_CCCL_CONCEPT indirectly_readable = _CCCL_FRAGMENT(__indirectly_readable_impl_, remove_cvref_t<_In>);

template <class _Tp>
using iter_common_reference_t =
  enable_if_t<indirectly_readable<_Tp>, common_reference_t<iter_reference_t<_Tp>, iter_value_t<_Tp>&>>;
// [iterator.concept.writable]
template <class _Out, class _Tp>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_writable_,
  requires(_Out&& __o, _Tp&& __t)(
    typename(decltype(*__o = _CUDA_VSTD::forward<_Tp>(__t))),
    typename(decltype(*_CUDA_VSTD::forward<_Out>(__o) = _CUDA_VSTD::forward<_Tp>(__t))),
    typename(decltype(const_cast<const iter_reference_t<_Out>&&>(*__o) = _CUDA_VSTD::forward<_Tp>(__t))),
    typename(decltype(const_cast<const iter_reference_t<_Out>&&>(*_CUDA_VSTD::forward<_Out>(__o)) =
                        _CUDA_VSTD::forward<_Tp>(__t)))));

template <class _Out, class _Tp>
_CCCL_CONCEPT indirectly_writable = _CCCL_FRAGMENT(__indirectly_writable_, _Out, _Tp);

// [iterator.concept.winc]
template <class _Tp>
_CCCL_CONCEPT __integer_like = integral<_Tp> && !same_as<_Tp, bool>;

template <class _Tp>
_CCCL_CONCEPT __signed_integer_like = signed_integral<_Tp>;

template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __weakly_incrementable_,
  requires(_Ip __i)(typename(iter_difference_t<_Ip>),
                    requires(!same_as<_Ip, bool>),
                    requires(movable<_Ip>),
                    requires(__signed_integer_like<iter_difference_t<_Ip>>),
                    requires(same_as<_Ip&, decltype(++__i)>),
                    (__i++)));

template <class _Ip>
_CCCL_CONCEPT weakly_incrementable = _CCCL_FRAGMENT(__weakly_incrementable_, _Ip);

// [iterator.concept.inc]
template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __incrementable_,
  requires(_Ip __i)(
    requires(regular<_Ip>), requires(weakly_incrementable<_Ip>), requires(same_as<_Ip, decltype(__i++)>)));

template <class _Ip>
_CCCL_CONCEPT incrementable = _CCCL_FRAGMENT(__incrementable_, _Ip);

// [iterator.concept.iterator]
template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __input_or_output_iterator_,
  requires(_Ip __i)(requires(weakly_incrementable<_Ip>), requires(__can_reference<decltype(*__i)>)));

template <class _Ip>
_CCCL_CONCEPT input_or_output_iterator = _CCCL_FRAGMENT(__input_or_output_iterator_, _Ip);

// [iterator.concept.sentinel]
template <class _Sp, class _Ip>
_CCCL_CONCEPT_FRAGMENT(__sentinel_for_,
                       requires()(requires(semiregular<_Sp>),
                                  requires(input_or_output_iterator<_Ip>),
                                  requires(__weakly_equality_comparable_with<_Sp, _Ip>)));

template <class _Sp, class _Ip>
_CCCL_CONCEPT sentinel_for = _CCCL_FRAGMENT(__sentinel_for_, _Sp, _Ip);

template <class, class>
_CCCL_INLINE_VAR constexpr bool disable_sized_sentinel_for = false;

template <class _Sp, class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __sized_sentinel_for_,
  requires(const _Ip& __i, const _Sp& __s)(
    requires(sentinel_for<_Sp, _Ip>),
    requires(!disable_sized_sentinel_for<remove_cv_t<_Sp>, remove_cv_t<_Ip>>),
    requires(same_as<iter_difference_t<_Ip>, decltype(__s - __i)>),
    requires(same_as<iter_difference_t<_Ip>, decltype(__i - __s)>)));

template <class _Sp, class _Ip>
_CCCL_CONCEPT sized_sentinel_for = _CCCL_FRAGMENT(__sized_sentinel_for_, _Sp, _Ip);

// [iterator.concept.input]
// NOTE: The ordering here is load bearing. MSVC has issues with finding iterator_traits
//       We can work around this by checking other constraints first
template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __input_iterator_,
  requires()(requires(input_or_output_iterator<_Ip>),
             requires(indirectly_readable<_Ip>),
             typename(_ITER_CONCEPT<_Ip>),
             requires(derived_from<_ITER_CONCEPT<_Ip>, input_iterator_tag>)));

template <class _Ip>
_CCCL_CONCEPT input_iterator = _CCCL_FRAGMENT(__input_iterator_, _Ip);

// [iterator.concept.output]
template <class _Ip, class _Tp>
_CCCL_CONCEPT_FRAGMENT(__output_iterator_,
                       requires(_Ip __it, _Tp&& __t)(requires(input_or_output_iterator<_Ip>),
                                                     requires(indirectly_writable<_Ip, _Tp>),
                                                     (*__it++ = _CUDA_VSTD::forward<_Tp>(__t))));

template <class _Ip, class _Tp>
_CCCL_CONCEPT output_iterator = _CCCL_FRAGMENT(__output_iterator_, _Ip, _Tp);

// [iterator.concept.forward]
template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __forward_iterator_,
  requires()(requires(input_iterator<_Ip>),
             requires(derived_from<_ITER_CONCEPT<_Ip>, forward_iterator_tag>),
             requires(incrementable<_Ip>),
             requires(sentinel_for<_Ip, _Ip>)));

template <class _Ip>
_CCCL_CONCEPT forward_iterator = _CCCL_FRAGMENT(__forward_iterator_, _Ip);

// [iterator.concept.bidir]
template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __bidirectional_iterator_,
  requires(_Ip __i)(requires(forward_iterator<_Ip>),
                    requires(derived_from<_ITER_CONCEPT<_Ip>, bidirectional_iterator_tag>),
                    requires(same_as<_Ip&, decltype(--__i)>),
                    requires(same_as<_Ip, decltype(__i--)>)));

template <class _Ip>
_CCCL_CONCEPT bidirectional_iterator = _CCCL_FRAGMENT(__bidirectional_iterator_, _Ip);

// [iterator.concept.random.access]

template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __random_access_iterator_operations_,
  requires(_Ip __i, const _Ip __j, const iter_difference_t<_Ip> __n)(
    requires(same_as<_Ip&, decltype(__i += __n)>),
    requires(same_as<_Ip, decltype(__j + __n)>),
    requires(same_as<_Ip, decltype(__n + __j)>),
    requires(same_as<_Ip&, decltype(__i -= __n)>),
    requires(same_as<_Ip, decltype(__j - __n)>),
    requires(same_as<iter_reference_t<_Ip>, decltype(__j[__n])>)));

template <class _Ip>
_CCCL_CONCEPT __random_access_iterator_operations = _CCCL_FRAGMENT(__random_access_iterator_operations_, _Ip);

template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __random_access_iterator_,
  requires()(requires(bidirectional_iterator<_Ip>),
             requires(derived_from<_ITER_CONCEPT<_Ip>, random_access_iterator_tag>),
             requires(totally_ordered<_Ip>),
             requires(sized_sentinel_for<_Ip, _Ip>),
             requires(__random_access_iterator_operations<_Ip>)));

template <class _Ip>
_CCCL_CONCEPT random_access_iterator = _CCCL_FRAGMENT(__random_access_iterator_, _Ip);

// [iterator.concept.contiguous]
template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(
  __contiguous_iterator_,
  requires(const _Ip& __i)(
    requires(random_access_iterator<_Ip>),
    requires(derived_from<_ITER_CONCEPT<_Ip>, contiguous_iterator_tag>),
    requires(is_lvalue_reference_v<iter_reference_t<_Ip>>),
    requires(same_as<iter_value_t<_Ip>, remove_cvref_t<iter_reference_t<_Ip>>>),
    requires(same_as<add_pointer_t<iter_reference_t<_Ip>>, decltype(_CUDA_VSTD::to_address(__i))>)));

template <class _Ip>
_CCCL_CONCEPT contiguous_iterator = _CCCL_FRAGMENT(__contiguous_iterator_, _Ip);

template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(__has_arrow_, requires(_Ip __i)((__i.operator->())));

template <class _Ip>
_CCCL_CONCEPT __has_arrow = input_iterator<_Ip> && (is_pointer_v<_Ip> || _CCCL_FRAGMENT(__has_arrow_, _Ip));

template <class _Ip>
_CCCL_CONCEPT_FRAGMENT(__has_const_arrow_, requires(const _Ip __i)((__i.operator->())));

template <class _Ip>
_CCCL_CONCEPT __has_const_arrow = (is_pointer_v<_Ip> || _CCCL_FRAGMENT(__has_const_arrow_, _Ip));

// [indirectcallable.indirectinvocable]
template <class _Fp, class _It>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_unary_invocable,
  requires()(
    requires(indirectly_readable<_It>),
    requires(copy_constructible<_Fp>),
    requires(invocable<_Fp&, iter_value_t<_It>&>),
    requires(invocable<_Fp&, iter_reference_t<_It>>),
    requires(invocable<_Fp&, iter_common_reference_t<_It>>),
    requires(
      common_reference_with<invoke_result_t<_Fp&, iter_value_t<_It>&>, invoke_result_t<_Fp&, iter_reference_t<_It>>>)));

template <class _Fp, class _It>
_CCCL_CONCEPT indirectly_unary_invocable = _CCCL_FRAGMENT(__indirectly_unary_invocable, _Fp, _It);

template <class _Fp, class _It>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_regular_unary_invocable_,
  requires()(
    requires(indirectly_readable<_It>),
    requires(copy_constructible<_Fp>),
    requires(regular_invocable<_Fp&, iter_value_t<_It>&>),
    requires(regular_invocable<_Fp&, iter_reference_t<_It>>),
    requires(regular_invocable<_Fp&, iter_common_reference_t<_It>>),
    requires(
      common_reference_with<invoke_result_t<_Fp&, iter_value_t<_It>&>, invoke_result_t<_Fp&, iter_reference_t<_It>>>)));

template <class _Fp, class _It>
_CCCL_CONCEPT indirectly_regular_unary_invocable = _CCCL_FRAGMENT(__indirectly_regular_unary_invocable_, _Fp, _It);

template <class _Fp, class _It>
_CCCL_CONCEPT_FRAGMENT(
  __indirect_unary_predicate_,
  requires()(requires(indirectly_readable<_It>),
             requires(copy_constructible<_Fp>),
             requires(predicate<_Fp&, iter_value_t<_It>&>),
             requires(predicate<_Fp&, iter_reference_t<_It>>),
             requires(predicate<_Fp&, iter_common_reference_t<_It>>)));

template <class _Fp, class _It>
_CCCL_CONCEPT indirect_unary_predicate = _CCCL_FRAGMENT(__indirect_unary_predicate_, _Fp, _It);

template <class _Fp, class _It1, class _It2>
_CCCL_CONCEPT_FRAGMENT(
  __indirect_binary_predicate_,
  requires()(requires(indirectly_readable<_It1>),
             requires(indirectly_readable<_It2>),
             requires(copy_constructible<_Fp>),
             requires(predicate<_Fp&, iter_value_t<_It1>&, iter_value_t<_It2>&>),
             requires(predicate<_Fp&, iter_value_t<_It1>&, iter_reference_t<_It2>>),
             requires(predicate<_Fp&, iter_reference_t<_It1>, iter_value_t<_It2>&>),
             requires(predicate<_Fp&, iter_reference_t<_It1>, iter_reference_t<_It2>>),
             requires(predicate<_Fp&, iter_common_reference_t<_It1>, iter_common_reference_t<_It2>>)));

template <class _Fp, class _It1, class _It2>
_CCCL_CONCEPT indirect_binary_predicate = _CCCL_FRAGMENT(__indirect_binary_predicate_, _Fp, _It1, _It2);

template <class _Fp, class _It1, class _It2>
_CCCL_CONCEPT_FRAGMENT(
  __indirect_equivalence_relation_,
  requires()(requires(indirectly_readable<_It1>),
             requires(indirectly_readable<_It2>),
             requires(copy_constructible<_Fp>),
             requires(equivalence_relation<_Fp&, iter_value_t<_It1>&, iter_value_t<_It2>&>),
             requires(equivalence_relation<_Fp&, iter_value_t<_It1>&, iter_reference_t<_It2>>),
             requires(equivalence_relation<_Fp&, iter_reference_t<_It1>, iter_value_t<_It2>&>),
             requires(equivalence_relation<_Fp&, iter_reference_t<_It1>, iter_reference_t<_It2>>),
             requires(equivalence_relation<_Fp&, iter_common_reference_t<_It1>, iter_common_reference_t<_It2>>)));

template <class _Fp, class _It1, class _It2 = _It1>
_CCCL_CONCEPT indirect_equivalence_relation = _CCCL_FRAGMENT(__indirect_equivalence_relation_, _Fp, _It1, _It2);

template <class _Fp, class _It1, class _It2>
_CCCL_CONCEPT_FRAGMENT(
  __indirect_strict_weak_order_,
  requires()(requires(indirectly_readable<_It1>),
             requires(indirectly_readable<_It2>),
             requires(copy_constructible<_Fp>),
             requires(strict_weak_order<_Fp&, iter_value_t<_It1>&, iter_value_t<_It2>&>),
             requires(strict_weak_order<_Fp&, iter_value_t<_It1>&, iter_reference_t<_It2>>),
             requires(strict_weak_order<_Fp&, iter_reference_t<_It1>, iter_value_t<_It2>&>),
             requires(strict_weak_order<_Fp&, iter_reference_t<_It1>, iter_reference_t<_It2>>),
             requires(strict_weak_order<_Fp&, iter_common_reference_t<_It1>, iter_common_reference_t<_It2>>)));

template <class _Fp, class _It1, class _It2 = _It1>
_CCCL_CONCEPT indirect_strict_weak_order = _CCCL_FRAGMENT(__indirect_strict_weak_order_, _Fp, _It1, _It2);

template <class _Fp, class... _Its>
using indirect_result_t = enable_if_t<(indirectly_readable<_Its> && ...) && invocable<_Fp, iter_reference_t<_Its>...>,
                                      invoke_result_t<_Fp, iter_reference_t<_Its>...>>;

template <class _In, class _Out>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_movable_,
  requires()(requires(indirectly_readable<_In>), requires(indirectly_writable<_Out, iter_rvalue_reference_t<_In>>)));

template <class _In, class _Out>
_CCCL_CONCEPT indirectly_movable = _CCCL_FRAGMENT(__indirectly_movable_, _In, _Out);

template <class _In, class _Out>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_movable_storable_,
  requires()(requires(indirectly_movable<_In, _Out>),
             requires(indirectly_writable<_Out, iter_value_t<_In>>),
             requires(movable<iter_value_t<_In>>),
             requires(constructible_from<iter_value_t<_In>, iter_rvalue_reference_t<_In>>),
             requires(assignable_from<iter_value_t<_In>&, iter_rvalue_reference_t<_In>>)));

template <class _In, class _Out>
_CCCL_CONCEPT indirectly_movable_storable = _CCCL_FRAGMENT(__indirectly_movable_storable_, _In, _Out);

template <class _In, class _Out>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_copyable_,
  requires()(requires(indirectly_readable<_In>), requires(indirectly_writable<_Out, iter_reference_t<_In>>)));

template <class _In, class _Out>
_CCCL_CONCEPT indirectly_copyable = _CCCL_FRAGMENT(__indirectly_copyable_, _In, _Out);

template <class _In, class _Out>
_CCCL_CONCEPT_FRAGMENT(
  __indirectly_copyable_storable_,
  requires()(requires(indirectly_copyable<_In, _Out>),
             requires(indirectly_writable<_Out, iter_value_t<_In>&>),
             requires(indirectly_writable<_Out, const iter_value_t<_In>&>),
             requires(indirectly_writable<_Out, iter_value_t<_In>&&>),
             requires(indirectly_writable<_Out, const iter_value_t<_In>&&>),
             requires(copyable<iter_value_t<_In>>),
             requires(constructible_from<iter_value_t<_In>, iter_reference_t<_In>>),
             requires(assignable_from<iter_value_t<_In>&, iter_reference_t<_In>>)));

template <class _In, class _Out>
_CCCL_CONCEPT indirectly_copyable_storable = _CCCL_FRAGMENT(__indirectly_copyable_storable_, _In, _Out);

template <class _Ip, class = void>
_CCCL_INLINE_VAR constexpr bool __has_iter_category = false;

template <class _Ip>
_CCCL_INLINE_VAR constexpr bool __has_iter_category<_Ip, void_t<typename _Ip::iterator_category>> = true;

template <class _Ip, class = void>
_CCCL_INLINE_VAR constexpr bool __has_iter_concept = false;

template <class _Ip>
_CCCL_INLINE_VAR constexpr bool __has_iter_concept<_Ip, void_t<typename _Ip::iterator_concept>> = true;

#endif // _CCCL_NO_CONCEPTS

_LIBCUDACXX_END_NAMESPACE_STD

#endif // _LIBCUDACXX___ITERATOR_CONCEPTS_H