// SPDX-License-Identifier: MIT
// Copyright (c) 2018-2023, Advanced Micro Devices, Inc. All rights reserved.

#pragma once

#include "ck/utility/number.hpp"
#include "ck/utility/statically_indexed_array.hpp"
#include "ck/utility/type.hpp"
#ifdef __HIPCC_RTC__
#ifdef WORKAROUND_ISSUE_HIPRTC_TRUE_TYPE
/// Definitions from <cstdint>, <cmath> conflict with
/// /opt/rocm/include/hip/amd_detail/amd_hip_vector_types.h.
using int8_t   = signed char;
using uint8_t  = unsigned char;
using int16_t  = signed short;
using uint16_t = unsigned short;
using int32_t  = signed int;
using uint32_t = unsigned int;
using int64_t  = signed long long;
using uint64_t = unsigned long long;
using byte = unsigned char;
#include <limits> // std::numeric_limits

#else
#include <cstdint> // int8_t, int16_t
#include <cstddef>
#include <cmath>   // float_t
#endif
#endif // __HIPCC_RTC__
namespace ck {

using bhalf_t = ushort;
using half_t  = _Float16;
#ifdef CK_EXPERIMENTAL_BIT_INT_EXTENSION_INT4
using int4_t = _BitInt(4);
#endif

// vector_type
template <typename T, index_t N>
struct vector_type;

// Caution: DO NOT REMOVE
// intentionally have only declaration but no definition to cause compilation failure when trying to
// instantiate this template. The purpose is to catch user's mistake when trying to make "vector of
// vectors"
template <typename T, index_t V, index_t N>
struct vector_type<T __attribute__((ext_vector_type(V))), N>;

// Caution: DO NOT REMOVE
// intentionally have only declaration but no definition to cause compilation failure when trying to
// instantiate this template. The purpose is to catch user's mistake when trying to make "vector of
// vectors"
template <typename T, index_t V, index_t N>
struct vector_type<vector_type<T, V>, N>;

// vector_type_maker
// This is the right way to handle "vector of vectors": making a bigger vector instead
template <typename T, index_t N>
struct vector_type_maker
{
    using type = vector_type<T, N>;
};

template <typename T, index_t N0, index_t N1>
struct vector_type_maker<T __attribute__((ext_vector_type(N1))), N0>
{
    using type = vector_type<T, N0 * N1>;
};

template <typename T, index_t N0, index_t N1>
struct vector_type_maker<vector_type<T, N1>, N0>
{
    using type = vector_type<T, N0 * N1>;
};

template <typename T, index_t N>
using vector_type_maker_t = typename vector_type_maker<T, N>::type;

template <typename T, index_t N>
__host__ __device__ constexpr auto make_vector_type(Number<N>)
{
    return typename vector_type_maker<T, N>::type{};
}

// scalar_type
template <typename TV>
struct scalar_type;

// is_scalar_type
template <typename TV>
struct is_scalar_type
{
    static constexpr bool value = (scalar_type<remove_cvref_t<TV>>::vector_size == 1);
};

// has_same_scalar_type
template <typename X, typename Y>
using has_same_scalar_type = is_same<typename scalar_type<remove_cvref_t<X>>::type,
                                     typename scalar_type<remove_cvref_t<Y>>::type>;

template <typename T, index_t N>
struct scalar_type<T __attribute__((ext_vector_type(N)))>
{
    using type                           = T;
    static constexpr index_t vector_size = N;
};

template <typename T, index_t N>
struct scalar_type<vector_type<T, N>>
{
    using type                           = T;
    static constexpr index_t vector_size = N;
};

//
template <>
struct scalar_type<double>
{
    using type                           = double;
    static constexpr index_t vector_size = 1;
};

template <>
struct scalar_type<float>
{
    using type                           = float;
    static constexpr index_t vector_size = 1;
};

template <>
struct scalar_type<half_t>
{
    using type                           = half_t;
    static constexpr index_t vector_size = 1;
};

template <>
struct scalar_type<bhalf_t>
{
    using type                           = bhalf_t;
    static constexpr index_t vector_size = 1;
};

template <>
struct scalar_type<int32_t>
{
    using type                           = int32_t;
    static constexpr index_t vector_size = 1;
};

template <>
struct scalar_type<int8_t>
{
    using type                           = int8_t;
    static constexpr index_t vector_size = 1;
};

#ifdef CK_EXPERIMENTAL_BIT_INT_EXTENSION_INT4
template <>
struct scalar_type<int4_t>
{
    using type                           = int4_t;
    static constexpr index_t vector_size = 1;
};
#endif

//
template <typename T>
struct vector_type<T, 1>
{
    using d1_t = T;
    using type = d1_t;

    union
    {
        T d1_;
        StaticallyIndexedArray<T, 1> d1x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value, "wrong!");

        return data_.d1x1_;
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value, "wrong!");

        return data_.d1x1_;
    }
};

template <typename T>
struct vector_type<T, 2>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));

    using type = d2_t;

    union
    {
        d2_t d2_;
        StaticallyIndexedArray<d1_t, 2> d1x2_;
        StaticallyIndexedArray<d2_t, 1> d2x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value, "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x2_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value, "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x2_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 4>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));

    using type = d4_t;

    union
    {
        d4_t d4_;
        StaticallyIndexedArray<d1_t, 4> d1x4_;
        StaticallyIndexedArray<d2_t, 2> d2x2_;
        StaticallyIndexedArray<d4_t, 1> d4x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value || is_same<X, d4_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x4_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x2_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value || is_same<X, d4_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x4_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x2_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 8>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));
    typedef T d8_t __attribute__((ext_vector_type(8)));

    using type = d8_t;

    union
    {
        d8_t d8_;
        StaticallyIndexedArray<d1_t, 8> d1x8_;
        StaticallyIndexedArray<d2_t, 4> d2x4_;
        StaticallyIndexedArray<d4_t, 2> d4x2_;
        StaticallyIndexedArray<d8_t, 1> d8x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x8_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x4_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x2_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x8_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x4_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x2_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 16>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));
    typedef T d8_t __attribute__((ext_vector_type(8)));
    typedef T d16_t __attribute__((ext_vector_type(16)));

    using type = d16_t;

    union
    {
        d16_t d16_;
        StaticallyIndexedArray<d1_t, 16> d1x16_;
        StaticallyIndexedArray<d2_t, 8> d2x8_;
        StaticallyIndexedArray<d4_t, 4> d4x4_;
        StaticallyIndexedArray<d8_t, 2> d8x2_;
        StaticallyIndexedArray<d16_t, 1> d16x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x16_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x8_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x4_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x2_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x16_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x8_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x4_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x2_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 32>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));
    typedef T d8_t __attribute__((ext_vector_type(8)));
    typedef T d16_t __attribute__((ext_vector_type(16)));
    typedef T d32_t __attribute__((ext_vector_type(32)));

    using type = d32_t;

    union
    {
        d32_t d32_;
        StaticallyIndexedArray<d1_t, 32> d1x32_;
        StaticallyIndexedArray<d2_t, 16> d2x16_;
        StaticallyIndexedArray<d4_t, 8> d4x8_;
        StaticallyIndexedArray<d8_t, 4> d8x4_;
        StaticallyIndexedArray<d16_t, 2> d16x2_;
        StaticallyIndexedArray<d32_t, 1> d32x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value || is_same<X, d32_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x32_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x16_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x8_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x4_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x2_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value || is_same<X, d32_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x32_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x16_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x8_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x4_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x2_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 64>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));
    typedef T d8_t __attribute__((ext_vector_type(8)));
    typedef T d16_t __attribute__((ext_vector_type(16)));
    typedef T d32_t __attribute__((ext_vector_type(32)));
    typedef T d64_t __attribute__((ext_vector_type(64)));

    using type = d64_t;

    union
    {
        d64_t d64_;
        StaticallyIndexedArray<d1_t, 64> d1x64_;
        StaticallyIndexedArray<d2_t, 32> d2x32_;
        StaticallyIndexedArray<d4_t, 16> d4x16_;
        StaticallyIndexedArray<d8_t, 8> d8x8_;
        StaticallyIndexedArray<d16_t, 4> d16x4_;
        StaticallyIndexedArray<d32_t, 2> d32x2_;
        StaticallyIndexedArray<d64_t, 1> d64x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value || is_same<X, d32_t>::value ||
                          is_same<X, d64_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x64_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x32_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x16_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x8_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x4_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x2_;
        }
        else if constexpr(is_same<X, d64_t>::value)
        {
            return data_.d64x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value || is_same<X, d32_t>::value ||
                          is_same<X, d64_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x64_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x32_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x16_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x8_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x4_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x2_;
        }
        else if constexpr(is_same<X, d64_t>::value)
        {
            return data_.d64x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 128>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));
    typedef T d8_t __attribute__((ext_vector_type(8)));
    typedef T d16_t __attribute__((ext_vector_type(16)));
    typedef T d32_t __attribute__((ext_vector_type(32)));
    typedef T d64_t __attribute__((ext_vector_type(64)));
    typedef T d128_t __attribute__((ext_vector_type(128)));

    using type = d128_t;

    union
    {
        d128_t d128_;
        StaticallyIndexedArray<d1_t, 128> d1x128_;
        StaticallyIndexedArray<d2_t, 64> d2x64_;
        StaticallyIndexedArray<d4_t, 32> d4x32_;
        StaticallyIndexedArray<d8_t, 16> d8x16_;
        StaticallyIndexedArray<d16_t, 8> d16x8_;
        StaticallyIndexedArray<d32_t, 4> d32x4_;
        StaticallyIndexedArray<d64_t, 2> d64x2_;
        StaticallyIndexedArray<d128_t, 1> d128x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value || is_same<X, d32_t>::value ||
                          is_same<X, d64_t>::value || is_same<X, d128_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x128_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x64_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x32_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x16_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x8_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x4_;
        }
        else if constexpr(is_same<X, d64_t>::value)
        {
            return data_.d64x2_;
        }
        else if constexpr(is_same<X, d128_t>::value)
        {
            return data_.d128x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(is_same<X, d1_t>::value || is_same<X, d2_t>::value ||
                          is_same<X, d4_t>::value || is_same<X, d8_t>::value ||
                          is_same<X, d16_t>::value || is_same<X, d32_t>::value ||
                          is_same<X, d64_t>::value || is_same<X, d128_t>::value,
                      "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x128_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x64_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x32_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x16_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x8_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x4_;
        }
        else if constexpr(is_same<X, d64_t>::value)
        {
            return data_.d64x2_;
        }
        else if constexpr(is_same<X, d128_t>::value)
        {
            return data_.d128x1_;
        }
    }
};

template <typename T>
struct vector_type<T, 256>
{
    using d1_t = T;
    typedef T d2_t __attribute__((ext_vector_type(2)));
    typedef T d4_t __attribute__((ext_vector_type(4)));
    typedef T d8_t __attribute__((ext_vector_type(8)));
    typedef T d16_t __attribute__((ext_vector_type(16)));
    typedef T d32_t __attribute__((ext_vector_type(32)));
    typedef T d64_t __attribute__((ext_vector_type(64)));
    typedef T d128_t __attribute__((ext_vector_type(128)));
    typedef T d256_t __attribute__((ext_vector_type(256)));

    using type = d256_t;

    union
    {
        d256_t d256_;
        StaticallyIndexedArray<d1_t, 256> d1x256_;
        StaticallyIndexedArray<d2_t, 128> d2x128_;
        StaticallyIndexedArray<d4_t, 64> d4x64_;
        StaticallyIndexedArray<d8_t, 32> d8x32_;
        StaticallyIndexedArray<d16_t, 16> d16x16_;
        StaticallyIndexedArray<d32_t, 8> d32x8_;
        StaticallyIndexedArray<d64_t, 4> d64x4_;
        StaticallyIndexedArray<d128_t, 2> d128x2_;
        StaticallyIndexedArray<d256_t, 1> d256x1_;
    } data_;

    __host__ __device__ constexpr vector_type() : data_{type{0}} {}

    __host__ __device__ constexpr vector_type(type v) : data_{v} {}

    template <typename X>
    __host__ __device__ constexpr const auto& AsType() const
    {
        static_assert(
            is_same<X, d1_t>::value || is_same<X, d2_t>::value || is_same<X, d4_t>::value ||
                is_same<X, d8_t>::value || is_same<X, d16_t>::value || is_same<X, d32_t>::value ||
                is_same<X, d64_t>::value || is_same<X, d128_t>::value || is_same<X, d256_t>::value,
            "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x256_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x128_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x64_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x32_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x16_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x8_;
        }
        else if constexpr(is_same<X, d64_t>::value)
        {
            return data_.d64x4_;
        }
        else if constexpr(is_same<X, d128_t>::value)
        {
            return data_.d128x2_;
        }
        else if constexpr(is_same<X, d256_t>::value)
        {
            return data_.d256x1_;
        }
    }

    template <typename X>
    __host__ __device__ constexpr auto& AsType()
    {
        static_assert(
            is_same<X, d1_t>::value || is_same<X, d2_t>::value || is_same<X, d4_t>::value ||
                is_same<X, d8_t>::value || is_same<X, d16_t>::value || is_same<X, d32_t>::value ||
                is_same<X, d64_t>::value || is_same<X, d128_t>::value || is_same<X, d256_t>::value,
            "wrong!");

        if constexpr(is_same<X, d1_t>::value)
        {
            return data_.d1x256_;
        }
        else if constexpr(is_same<X, d2_t>::value)
        {
            return data_.d2x128_;
        }
        else if constexpr(is_same<X, d4_t>::value)
        {
            return data_.d4x64_;
        }
        else if constexpr(is_same<X, d8_t>::value)
        {
            return data_.d8x32_;
        }
        else if constexpr(is_same<X, d16_t>::value)
        {
            return data_.d16x16_;
        }
        else if constexpr(is_same<X, d32_t>::value)
        {
            return data_.d32x8_;
        }
        else if constexpr(is_same<X, d64_t>::value)
        {
            return data_.d64x4_;
        }
        else if constexpr(is_same<X, d128_t>::value)
        {
            return data_.d128x2_;
        }
        else if constexpr(is_same<X, d256_t>::value)
        {
            return data_.d256x1_;
        }
    }
};

using int64_t = long;

// fp64
using double2_t = typename vector_type<double, 2>::type;
using double4_t = typename vector_type<double, 4>::type;

// fp32
using float2_t  = typename vector_type<float, 2>::type;
using float4_t  = typename vector_type<float, 4>::type;
using float8_t  = typename vector_type<float, 8>::type;
using float16_t = typename vector_type<float, 16>::type;
using float32_t = typename vector_type<float, 32>::type;
using float64_t = typename vector_type<float, 64>::type;

// fp16
using half2_t  = typename vector_type<half_t, 2>::type;
using half4_t  = typename vector_type<half_t, 4>::type;
using half8_t  = typename vector_type<half_t, 8>::type;
using half16_t = typename vector_type<half_t, 16>::type;
using half32_t = typename vector_type<half_t, 32>::type;
using half64_t = typename vector_type<half_t, 64>::type;

// bfp16
using bhalf2_t  = typename vector_type<bhalf_t, 2>::type;
using bhalf4_t  = typename vector_type<bhalf_t, 4>::type;
using bhalf8_t  = typename vector_type<bhalf_t, 8>::type;
using bhalf16_t = typename vector_type<bhalf_t, 16>::type;
using bhalf32_t = typename vector_type<bhalf_t, 32>::type;
using bhalf64_t = typename vector_type<bhalf_t, 64>::type;

// i32
using int32x2_t  = typename vector_type<int32_t, 2>::type;
using int32x4_t  = typename vector_type<int32_t, 4>::type;
using int32x8_t  = typename vector_type<int32_t, 8>::type;
using int32x16_t = typename vector_type<int32_t, 16>::type;
using int32x32_t = typename vector_type<int32_t, 32>::type;
using int32x64_t = typename vector_type<int32_t, 64>::type;

// i8
using int8x2_t  = typename vector_type<int8_t, 2>::type;
using int8x4_t  = typename vector_type<int8_t, 4>::type;
using int8x8_t  = typename vector_type<int8_t, 8>::type;
using int8x16_t = typename vector_type<int8_t, 16>::type;
using int8x32_t = typename vector_type<int8_t, 32>::type;
using int8x64_t = typename vector_type<int8_t, 64>::type;

// Convert X to Y
template <typename Y, typename X>
__host__ __device__ constexpr Y type_convert(X x)
{
    static_assert(!std::is_reference_v<Y> && !std::is_reference_v<X>);

    return static_cast<Y>(x);
}

// convert bfp16 to fp32
template <>
inline __host__ __device__ constexpr float type_convert<float, bhalf_t>(bhalf_t x)
{
    union
    {
        uint32_t int32;
        float fp32;
    } u = {uint32_t(x) << 16};

    return u.fp32;
}

// convert fp32 to bfp16
template <>
inline __host__ __device__ constexpr bhalf_t type_convert<bhalf_t, float>(float x)
{
    union
    {
        float fp32;
        uint32_t int32;
    } u = {x};

    return uint16_t(u.int32 >> 16);
}

// convert bfp16 to fp16 via fp32
template <>
inline __host__ __device__ constexpr half_t type_convert<half_t, bhalf_t>(bhalf_t x)
{
    float x_fp32 = type_convert<float>(x);

    return static_cast<half_t>(x_fp32);
}

// convert fp16 to bfp16 via fp32
template <>
inline __host__ __device__ constexpr bhalf_t type_convert<bhalf_t, half_t>(half_t x)
{
    float x_fp32 = static_cast<float>(x);

    return type_convert<bhalf_t>(x_fp32);
}

// convert bfp16 to int32 via fp32
template <>
inline __host__ __device__ constexpr int32_t type_convert<int32_t, bhalf_t>(bhalf_t x)
{
    float x_fp32 = type_convert<float>(x);

    return static_cast<int32_t>(x_fp32);
}

// convert int32 to bfp16 via fp32
template <>
inline __host__ __device__ constexpr bhalf_t type_convert<bhalf_t, int32_t>(int32_t x)
{
    float x_fp32 = static_cast<float>(x);

    return type_convert<bhalf_t>(x_fp32);
}

// convert bfp16 to int8 via fp32
template <>
inline __host__ __device__ constexpr int8_t type_convert<int8_t, bhalf_t>(bhalf_t x)
{
    float x_fp32 = type_convert<float>(x);

    return static_cast<int8_t>(x_fp32);
}

// convert int8 to bfp16 via fp32
template <>
inline __host__ __device__ constexpr bhalf_t type_convert<bhalf_t, int8_t>(int8_t x)
{
    float x_fp32 = static_cast<float>(x);

    return type_convert<bhalf_t>(x_fp32);
}

// Declare a template function for bf16 conversion using RTN
template <typename Y, typename X>
__host__ __device__ constexpr Y bf16_convert_rtn(X x);

// Convert fp32 to bf16 with RTN if higher precision is needed
template <>
inline __host__ __device__ constexpr bhalf_t bf16_convert_rtn<bhalf_t, float>(float x)
{
    union
    {
        float fp32;
        uint32_t int32;
    } u = {x};

    // When the exponent bits are not all 1s, then the value is zero, normal,
    // or subnormal. We round the bfloat16 mantissa up by adding 0x7FFF, plus
    // 1 if the least significant bit of the bfloat16 mantissa is 1 (odd).
    // This causes the bfloat16's mantissa to be incremented by 1 if the 16
    // least significant bits of the float mantissa are greater than 0x8000,
    // or if they are equal to 0x8000 and the least significant bit of the
    // bfloat16 mantissa is 1 (odd). This causes it to be rounded to even when
    // the lower 16 bits are exactly 0x8000. If the bfloat16 mantissa already
    // has the value 0x7f, then incrementing it causes it to become 0x00 and
    // the exponent is incremented by one, which is the next higher FP value
    // to the unrounded bfloat16 value. When the bfloat16 value is subnormal
    // with an exponent of 0x00 and a mantissa of 0x7f, it may be rounded up
    // to a normal value with an exponent of 0x01 and a mantissa of 0x00.
    // When the bfloat16 value has an exponent of 0xFE and a mantissa of 0x7F,
    // incrementing it causes it to become an exponent of 0xFF and a mantissa
    // of 0x00, which is Inf, the next higher value to the unrounded value.
    bool flag0 = ~u.int32 & 0x7f800000;

    // When all of the exponent bits are 1, the value is Inf or NaN.
    // Inf is indicated by a zero mantissa. NaN is indicated by any nonzero
    // mantissa bit. Quiet NaN is indicated by the most significant mantissa
    // bit being 1. Signaling NaN is indicated by the most significant
    // mantissa bit being 0 but some other bit(s) being 1. If any of the
    // lower 16 bits of the mantissa are 1, we set the least significant bit
    // of the bfloat16 mantissa, in order to preserve signaling NaN in case
    // the bfloat16's mantissa bits are all 0.
    bool flag1 = !flag0 && (u.int32 & 0xffff);

    u.int32 += flag0 ? 0x7fff + ((u.int32 >> 16) & 1) : 0; // Round to nearest, round to even
    u.int32 |= flag1 ? 0x10000 : 0x0;                      // Preserve signaling NaN

    return uint16_t(u.int32 >> 16);
}

// convert fp16 to bfp16 via fp32 with RTN if higher precision is needed
template <>
inline __host__ __device__ constexpr bhalf_t bf16_convert_rtn<bhalf_t, half_t>(half_t x)
{
    float x_fp32 = static_cast<float>(x);

    return bf16_convert_rtn<bhalf_t>(x_fp32);
}

template <typename T>
struct NumericLimits
{
    __host__ __device__ static constexpr T Min() { return std::numeric_limits<T>::min(); }

    __host__ __device__ static constexpr T Max() { return std::numeric_limits<T>::max(); }

    __host__ __device__ static constexpr T Lowest() { return std::numeric_limits<T>::lowest(); }

    __host__ __device__ static constexpr T QuietNaN()
    {
        return std::numeric_limits<T>::quiet_NaN();
    }

    __host__ __device__ static constexpr T Infinity() { return std::numeric_limits<T>::infinity(); }
};

template <>
struct NumericLimits<half_t>
{
    static constexpr unsigned short binary_min    = 0x0400;
    static constexpr unsigned short binary_max    = 0x7BFF;
    static constexpr unsigned short binary_lowest = 0xFBFF;
    static constexpr unsigned short binary_qnan   = 0x7FFF;

    __host__ __device__ static constexpr half_t Min() { return bit_cast<half_t>(binary_min); }

    __host__ __device__ static constexpr half_t Max() { return bit_cast<half_t>(binary_max); }

    __host__ __device__ static constexpr half_t Lowest() { return bit_cast<half_t>(binary_lowest); }

    __host__ __device__ static constexpr half_t QuietNaN() { return bit_cast<half_t>(binary_qnan); }
};

#ifdef CK_EXPERIMENTAL_BIT_INT_EXTENSION_INT4
template <>
struct NumericLimits<int4_t>
{
    __host__ __device__ static constexpr int4_t Min() { return int4_t(-8); }

    __host__ __device__ static constexpr int4_t Max() { return int4_t(7); }

    __host__ __device__ static constexpr int4_t Lowest() { return int4_t(-8); }
};
#endif // CK_EXPERIMENTAL_BIT_INT_EXTENSION_INT4

} // namespace ck
