Two related commits I found:
The previous __make_tuple_indices implementation caused O(N) instantiations and was pretty inefficient. The C++14 __make_integer_sequence implementation is much better, since it either uses a builtin to generate the sequence or a very nice Log8(N) implementation provided by richard smith.
This patch moves the __make_integer_sequence implementation into __tuple and uses it to implement __make_tuple_indices.
Since libc++ can't expose the name 'integer_sequence' in C++11 this patch also introduces a dummy type '__integer_sequence' which is used when generating the sequence. One the sequence is generated '__integer_sequence' can be converted into the required type; either '__tuple_indices' or 'integer_sequence'.
From the commit, I know it s a Log8(N) implementation, which manually unroll the loops(If it is not right , please correct me, thx). But I cannot understand how namespace detail
work with __integer_sequence. I have tried to use debugger, but it always uses the __has_builtin(__make_integer_seq) branch.
So, please help me understand this implementation, main codes are in this commit and this part of <utility>
:
// <utility>
template<typename _Tp, _Tp _Np> using __make_integer_sequence_unchecked =
typename __detail::__make<_Np>::type::template __convert<integer_sequence, _Tp>;
template <class _Tp, _Tp _Ep>
struct __make_integer_sequence_checked
{
static_assert(is_integral<_Tp>::value,
"std::make_integer_sequence can only be instantiated with an integral type" );
static_assert(0 <= _Ep, "std::make_integer_sequence must have a non-negative sequence length");
// Workaround GCC bug by preventing bad installations when 0 <= _Ep
// https://gcc.gnu.org/bugzilla/show_bug.cgi?id=68929
typedef __make_integer_sequence_unchecked<_Tp, 0 <= _Ep ? _Ep : 0> type;
};
template <class _Tp, _Tp _Ep>
using __make_integer_sequence = typename __make_integer_sequence_checked<_Tp, _Ep>::type;
// <__tuple>
template <class _IdxType, _IdxType... _Values>
struct __integer_sequence {
template <template <class _OIdxType, _OIdxType...> class _ToIndexSeq, class _ToIndexType>
using __convert = _ToIndexSeq<_ToIndexType, _Values...>;
template <size_t _Sp>
using __to_tuple_indices = __tuple_indices<(_Values + _Sp)...>;
};
template<typename _Tp, size_t ..._Extra> struct __repeat;
template<typename _Tp, _Tp ..._Np, size_t ..._Extra> struct __repeat<__integer_sequence<_Tp, _Np...>, _Extra...> {
typedef __integer_sequence<_Tp,
_Np...,
sizeof...(_Np) + _Np...,
2 * sizeof...(_Np) + _Np...,
3 * sizeof...(_Np) + _Np...,
4 * sizeof...(_Np) + _Np...,
5 * sizeof...(_Np) + _Np...,
6 * sizeof...(_Np) + _Np...,
7 * sizeof...(_Np) + _Np...,
_Extra...> type;
};
template<size_t _Np> struct __parity;
template<size_t _Np> struct __make : __parity<_Np % 8>::template __pmake<_Np> {};
template<> struct __make<0> { typedef __integer_sequence<size_t> type; };
template<> struct __make<1> { typedef __integer_sequence<size_t, 0> type; };
template<> struct __make<2> { typedef __integer_sequence<size_t, 0, 1> type; };
template<> struct __make<3> { typedef __integer_sequence<size_t, 0, 1, 2> type; };
template<> struct __make<4> { typedef __integer_sequence<size_t, 0, 1, 2, 3> type; };
template<> struct __make<5> { typedef __integer_sequence<size_t, 0, 1, 2, 3, 4> type; };
template<> struct __make<6> { typedef __integer_sequence<size_t, 0, 1, 2, 3, 4, 5> type; };
template<> struct __make<7> { typedef __integer_sequence<size_t, 0, 1, 2, 3, 4, 5, 6> type; };
template<> struct __parity<0> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type> {}; };
template<> struct __parity<1> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 1> {}; };
template<> struct __parity<2> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 2, _Np - 1> {}; };
template<> struct __parity<3> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 3, _Np - 2, _Np - 1> {}; };
template<> struct __parity<4> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 4, _Np - 3, _Np - 2, _Np - 1> {}; };
template<> struct __parity<5> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 5, _Np - 4, _Np - 3, _Np - 2, _Np - 1> {}; };
template<> struct __parity<6> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 6, _Np - 5, _Np - 4, _Np - 3, _Np - 2, _Np - 1> {}; };
template<> struct __parity<7> { template<size_t _Np> struct __pmake : __repeat<typename __make<_Np / 8>::type, _Np - 7, _Np - 6, _Np - 5, _Np - 4, _Np - 3, _Np - 2, _Np - 1> {}; };
} // namespace detail
Thanks in advance.
If you think this question is too border/ruder, feel free to tell me. I'll delete soon, though this question does bother me a lot.
You also need to understand __repeat
to see how this works:
template<typename _Tp, size_t ..._Extra> struct __repeat;
template<typename _Tp, _Tp ..._Np, size_t ..._Extra> struct __repeat<integer_sequence<_Tp, _Np...>, _Extra...> {
typedef integer_sequence<_Tp,
_Np...,
sizeof...(_Np) + _Np...,
2 * sizeof...(_Np) + _Np...,
3 * sizeof...(_Np) + _Np...,
4 * sizeof...(_Np) + _Np...,
5 * sizeof...(_Np) + _Np...,
6 * sizeof...(_Np) + _Np...,
7 * sizeof...(_Np) + _Np...,
_Extra...> type;
}
It takes two template parementers: An integer sequence and a paremeter pack of _Extra
values.
It has a member typedef type
that is an integer sequence of the same type as the initial integer sequence.
It's members are as follows:
_Np..., // The original values
sizeof...(_Np) + _Np...,
// sizeof...(_Np) is the number of integers in the sequence. This is a fold expression
// that adds the sizeof...(_Np) to every integer.
// So (_Np..., sizeof...(_Np) + _Np...) for <0, 1, 2> would be
// (<0, 1, 2>..., <3 + 0, 3 + 1, 3 + 2>...), which is `<0, 1, 2, 3, 4, 5>`.
// The rest of the lines are the same, but starting with a different
// multiple of sizeof...(_Np)
// `<0, 1, ..., N>` into an integer sequence of `<0, 1, ..., 8N>`.
_Extra...
// And then add `_Extra` to the end
__make<_Np>
from _Np = 0
to _Np = 7
is hard coded. Otherwise, it uses __parity
as a helper type.
This will use __repeat
to repeat __make<_Np / 8>
8 times, creating the desired length, and then add the remaining items using extra based on how much bigger it is than the last multiple of 8 (Called "parity" here) as _Extra
.
It's not so much "manually unrolling the loop". It's just recursively dividing make_integer_sequence<N>
into repeat_8_times<make_integer_sequence<N / 8>> /* + remainder */
, so it's "recursion with a base case"