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#pragma once
#include <tuple>
namespace intgemm {
/*
* Sequence of unsigned integers
*
* Examples:
* sequence<1, 2, 3>()
* sequence_pushback<4, sequence<1, 2, 3>>() = sequence<1, 2, 3, 4>()
* sequence_popfront<sequence<1, 2, 3>>() = sequence<2, 3>()
* make_sequence<3>() = sequence<0, 1, 2>()
*/
template <unsigned... Indices>
struct sequence { using type = sequence; };
template <unsigned I, typename Sequence>
struct sequence_pushback;
template <unsigned I, unsigned... Indices>
struct sequence_pushback<I, sequence<Indices...>> : sequence<Indices..., I> {};
template <typename Sequence>
struct sequence_popfront;
template <unsigned FirstIndex, unsigned... RestIndices>
struct sequence_popfront<sequence<FirstIndex, RestIndices...>> : sequence<RestIndices...> {};
namespace { // anonymous namespace
template <unsigned N>
struct make_sequence_impl : sequence_pushback<N - 1, typename make_sequence_impl<N - 1>::type> {};
template <>
struct make_sequence_impl<0> : sequence<> {};
} // anonymous namespace
template <unsigned N>
using make_sequence = typename make_sequence_impl<N>::type;
/*
* Make a subtuple
*/
template <typename Tuple, unsigned... Indices>
using subtuple_t = typename std::tuple<typename std::tuple_element<Indices, Tuple>::type...>;
template <typename Tuple, unsigned... Indices>
constexpr subtuple_t<Tuple, Indices...> make_subtuple(const Tuple& tuple, sequence<Indices...>) {
return std::make_tuple(std::get<Indices>(tuple)...);
}
/*
* Factorial
*/
constexpr unsigned long long factorial(unsigned n) {
return n <= 1 ? 1 : n * factorial(n - 1);
}
/*
* e^n, where n is integer
*/
namespace { // anonymous namespace
constexpr double expi_nonnegative(unsigned n) {
return n == 0 ? 1.0 : (n == 1 ? 2.718281828459045 : expi_nonnegative(n / 2) * expi_nonnegative((n + 1) / 2));
}
} // anonymous namespace
constexpr double expi(int n) {
return (n >= 0 ? expi_nonnegative(n) : 1.0 / expi_nonnegative(-n));
}
/*
* Multi-dimmension static loop iterator over range [0, 0, ...] - [Ns...] (exclusive)
* starting from IterationNumber-th iteration. Keep in mind that iterations are counted
* from 0.
*
* For example, StaticLoopIterator<3, 5, 2> creates iterator:
* [1, 1] -> [2, 0] -> ... -> [4, 0] -> [4, 1]
* because first 3 steps i.e.:
* [0, 0] -> [0, 1] -> [1, 0]
* are skipped.
*
* To extract I-th component of the iterator, use get<I>() function.
*/
template <Index IterationNumber, Index... Ns>
struct StaticLoopIterator {
private:
template <Index N, Index FirstDimmension, Index... RestDimmensions>
struct get_dimmension_s {
static constexpr Index value = get_dimmension_s<N - 1, RestDimmensions...>::value;
};
template <Index FirstDimmension, Index... RestDimmensions>
struct get_dimmension_s<0, FirstDimmension, RestDimmensions...> {
static constexpr Index value = FirstDimmension;
};
template <Index N, Index FirstDimmension, Index... RestDimmensions>
struct multiply_first_n_dimmensions_s {
static constexpr Index value = FirstDimmension * multiply_first_n_dimmensions_s<N - 1, RestDimmensions...>::value;
};
template <Index FirstDimmension, Index... RestDimmensions>
struct multiply_first_n_dimmensions_s<1, FirstDimmension, RestDimmensions...> {
static constexpr Index value = FirstDimmension;
};
template <Index N>
struct multiply_first_n_dimmensions : multiply_first_n_dimmensions_s<N, Ns...> {};
public:
/*
* Total number of iteration in the given dimmensions.
*/
static constexpr Index total_iterations = multiply_first_n_dimmensions<sizeof...(Ns)>::value;
/*
* Current iteration number
*/
static constexpr Index iteration_number = IterationNumber;
/*
* Get I-th dimmension of the iterator.
*/
template <Index Ith = 0>
static constexpr inline Index N() {
return get_dimmension_s<Ith, Ns...>::value;
}
/*
* Return I-th component of the iterator.
*/
template <Index Ith = 0>
static constexpr inline Index I() {
return (iteration_number * multiply_first_n_dimmensions<Ith + 1>::value / total_iterations) % N<Ith>();
}
/*
* Next iterator
*/
using next = StaticLoopIterator<iteration_number + 1, Ns...>;
/*
* Last iterator
*/
using last = StaticLoopIterator<total_iterations - 1, Ns...>;
};
/*
* Create multi-dimmension static loop iterator over range [0, 0, ...] - [Ns...] (exclusive)
*
* For example, MakeStaticLoopIterator<5, 2> creates iterator:
* [0, 0] -> [0, 1] -> [1, 0] -> [1, 1] -> [2, 0] -> ... -> [4, 0] -> [4, 1]
*/
template <Index... Ns>
using MakeStaticLoopIterator = StaticLoopIterator<0, Ns...>;
/*
* Static loop over range defined by the give static loop iterator.
*
* To use it, you need to create a body structure containing static inline procedure
* 'body' with template parameter Iterator. If you need you can also
* add extra template parameters.
*
* Example:
* struct Test {
* template <typename Iterator, typename Number>
* static inline void body(const char* text, Number number) {
* std::cout << "[" << Iterator::template I<0>() << ", " << Iterator::template I<1>() << "] " << text << " " << number << std::endl;
* }
* };
*
* To run static loop, you just need to call StaticLoop<Body, Iterator>. It takes
* the same parameters as body procedure inside Body structure.
*
* Example:
* StaticLoop<Test, MakeStaticLoopIterator<5, 2>>("Test", 1);
*
* Output of the example:
*
* [0, 0] Test 1
* [0, 1] Test 1
* [1, 0] Test 1
* [1, 1] Test 1
* [2, 0] Test 1
* [2, 1] Test 1
* [3, 0] Test 1
* [3, 1] Test 1
* [4, 0] Test 1
* [4, 1] Test 1
*
*/
template <typename Body, typename StaticLoopIterator, typename std::enable_if<std::is_same<StaticLoopIterator, typename StaticLoopIterator::last>::value>::type* = nullptr, typename... Args>
__attribute__((always_inline)) static inline void StaticLoop(Args&&... args) {
Body::template body<StaticLoopIterator>(std::forward<Args>(args)...);
}
template <typename Body, typename StaticLoopIterator, typename std::enable_if<!std::is_same<StaticLoopIterator, typename StaticLoopIterator::last>::value>::type* = nullptr, typename... Args>
__attribute__((always_inline)) static inline void StaticLoop(Args&&... args) {
Body::template body<StaticLoopIterator>(std::forward<Args>(args)...);
StaticLoop<Body, typename StaticLoopIterator::next>(std::forward<Args>(args)...);
}
}
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