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/******************************************************************************
* Copyright (c) 2023, Tri Dao.
******************************************************************************/
#pragma once
#include <assert.h>
#include <stdint.h>
#include <stdlib.h>
#include <cuda_fp16.h>
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
#include <cuda_bf16.h>
#endif
#include <cute/algorithm/copy.hpp>
#include <cute/algorithm/gemm.hpp>
#include <cutlass/array.h>
#include <cutlass/cutlass.h>
#include <cutlass/numeric_conversion.h>
#include <cutlass/numeric_types.h>
////////////////////////////////////////////////////////////////////////////////////////////////////
namespace flash {
////////////////////////////////////////////////////////////////////////////////////////////////////
template<typename T>
inline __device__ uint32_t relu2(const uint32_t x);
template<>
inline __device__ uint32_t relu2<cutlass::half_t>(const uint32_t x) {
uint32_t res;
const uint32_t zero = 0u;
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
asm volatile("max.f16x2 %0, %1, %2;\n" : "=r"(res) : "r"(x), "r"(zero));
#else
asm volatile( \
"{\n" \
"\t .reg .f16x2 sela;\n" \
"\t set.gtu.u32.f16x2 sela, %1, %2;\n" \
"\t and.b32 %0, sela, %1;\n"
"}\n" : "=r"(res) : "r"(x), "r"(zero));
#endif
return res;
}
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
template<>
inline __device__ uint32_t relu2<cutlass::bfloat16_t>(const uint32_t x) {
uint32_t res;
const uint32_t zero = 0u;
asm volatile("max.bf16x2 %0, %1, %2;\n" : "=r"(res) : "r"(x), "r"(zero));
return res;
}
#endif
////////////////////////////////////////////////////////////////////////////////////////////////////
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
template<typename T>
inline __device__ uint32_t convert_relu2(const float2 x);
template<>
inline __device__ uint32_t convert_relu2<cutlass::half_t>(const float2 x) {
uint32_t res;
const uint32_t a = reinterpret_cast<const uint32_t&>(x.x);
const uint32_t b = reinterpret_cast<const uint32_t&>(x.y);
asm volatile("cvt.rn.relu.f16x2.f32 %0, %1, %2;\n" : "=r"(res) : "r"(b), "r"(a));
return res;
}
template<>
inline __device__ uint32_t convert_relu2<cutlass::bfloat16_t>(const float2 x) {
uint32_t res;
const uint32_t a = reinterpret_cast<const uint32_t&>(x.x);
const uint32_t b = reinterpret_cast<const uint32_t&>(x.y);
asm volatile("cvt.rn.relu.bf16x2.f32 %0, %1, %2;\n" : "=r"(res) : "r"(b), "r"(a));
return res;
}
#endif
////////////////////////////////////////////////////////////////////////////////////////////////////
template<typename T>
inline __device__ float2 half2_unpack(uint32_t a);
template <>
inline __device__ float2 half2_unpack<__half>(uint32_t a) {
return __half22float2(reinterpret_cast<__half2 (&)>(a));
}
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
template <>
inline __device__ float2 half2_unpack<__nv_bfloat16>(uint32_t a) {
return __bfloat1622float2(reinterpret_cast<__nv_bfloat162 (&)>(a));
}
#endif
////////////////////////////////////////////////////////////////////////////////////////////////////
// Convert two half2's or bf162's into float, then take their dot product.
template <typename T>
inline __device__ float hfma2_to_float(const uint32_t a, const uint32_t b) {
float2 af = flash::half2_unpack<T>(a);
float2 bf = flash::half2_unpack<T>(b);
return af.x * bf.x + af.y * bf.y;
}
////////////////////////////////////////////////////////////////////////////////////////////////////
// Converted two vectors of 8 half's or bf16's into float, then take their dot product.
template<typename T>
inline __device__ float hmulsum8(const uint4 a, const uint4 b) {
float sum;
sum = flash::hfma2_to_float<T>(a.x, b.x);
sum += flash::hfma2_to_float<T>(a.y, b.y);
sum += flash::hfma2_to_float<T>(a.z, b.z);
sum += flash::hfma2_to_float<T>(a.w, b.w);
return sum;
}
////////////////////////////////////////////////////////////////////////////////////////////////////
template<typename T>
struct MaxOp {
__device__ inline T operator()(T const & x, T const & y) { return x > y ? x : y; }
};
template <>
struct MaxOp<float> {
// This is slightly faster
__device__ inline float operator()(float const &x, float const &y) { return max(x, y); }
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template<typename T>
struct SumOp {
__device__ inline T operator()(T const & x, T const & y) { return x + y; }
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template<int THREADS>
struct Allreduce {
static_assert(THREADS == 32 || THREADS == 16 || THREADS == 8 || THREADS == 4);
template<typename T, typename Operator>
static __device__ inline T run(T x, Operator &op) {
constexpr int OFFSET = THREADS / 2;
x = op(x, __shfl_xor_sync(uint32_t(-1), x, OFFSET));
return Allreduce<OFFSET>::run(x, op);
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template<>
struct Allreduce<2> {
template<typename T, typename Operator>
static __device__ inline T run(T x, Operator &op) {
x = op(x, __shfl_xor_sync(uint32_t(-1), x, 1));
return x;
}
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template<bool A_in_regs=false, bool B_in_regs=false, typename Tensor0, typename Tensor1,
typename Tensor2, typename Tensor3, typename Tensor4,
typename TiledMma, typename TiledCopy0, typename TiledCopy1>
inline __device__ void gemm(Tensor0 &acc, Tensor1 &tCrA, Tensor2 &tCrB, Tensor3 const& tCsA,
Tensor4 const& tCsB, TiledMma tiled_mma,
TiledCopy0 smem_thr_copy_A, TiledCopy1 smem_thr_copy_B) {
CUTE_STATIC_ASSERT_V(size<1>(tCrA) == size<1>(acc)); // MMA_M
CUTE_STATIC_ASSERT_V(size<1>(tCrB) == size<2>(acc)); // MMA_N
CUTE_STATIC_ASSERT_V(size<2>(tCrA) == size<2>(tCrB)); // MMA_K
Tensor tCrA_copy_view = smem_thr_copy_A.retile_D(tCrA);
CUTE_STATIC_ASSERT_V(size<1>(tCsA) == size<1>(tCrA_copy_view)); // M
Tensor tCrB_copy_view = smem_thr_copy_B.retile_D(tCrB);
CUTE_STATIC_ASSERT_V(size<1>(tCsB) == size<1>(tCrB_copy_view)); // N
if (!A_in_regs) { copy(smem_thr_copy_A, tCsA(_, _, _0{}), tCrA_copy_view(_, _, _0{})); }
if (!B_in_regs) { copy(smem_thr_copy_B, tCsB(_, _, _0{}), tCrB_copy_view(_, _, _0{})); }
#pragma unroll
for (int i = 0; i < size<2>(tCrA); ++i) {
if (i < size<2>(tCrA) - 1) {
if (!A_in_regs) { copy(smem_thr_copy_A, tCsA(_, _, i + 1), tCrA_copy_view(_, _, i + 1)); }
if (!B_in_regs) { copy(smem_thr_copy_B, tCsB(_, _, i + 1), tCrB_copy_view(_, _, i + 1)); }
}
cute::gemm(tiled_mma, tCrA(_, _, i), tCrB(_, _, i), acc);
}
}
////////////////////////////////////////////////////////////////////////////////////////////////////
template<typename Tensor0, typename Tensor1, typename Tensor2, typename Tensor3,
typename TiledMma, typename TiledCopy>
inline __device__ void gemm_A_in_regs(Tensor0 &acc, Tensor1 &tCrA, Tensor2 &tCrB, Tensor3 const& tCsB,
TiledMma tiled_mma, TiledCopy smem_thr_copy_B) {
CUTE_STATIC_ASSERT_V(size<1>(tCrA) == size<1>(acc)); // MMA_M
CUTE_STATIC_ASSERT_V(size<1>(tCrB) == size<2>(acc)); // MMA_N
CUTE_STATIC_ASSERT_V(size<2>(tCrA) == size<2>(tCrB)); // MMA_K
Tensor tCrB_copy_view = smem_thr_copy_B.retile_D(tCrB);
CUTE_STATIC_ASSERT_V(size<1>(tCsB) == size<1>(tCrB_copy_view)); // N
copy(smem_thr_copy_B, tCsB(_, _, _0{}), tCrB_copy_view(_, _, _0{}));
#pragma unroll
for (int i = 0; i < size<2>(tCrA); ++i) {
if (i < size<2>(tCrA) - 1) {
copy(smem_thr_copy_B, tCsB(_, _, i + 1), tCrB_copy_view(_, _, i + 1));
}
cute::gemm(tiled_mma, tCrA(_, _, i), tCrB(_, _, i), acc);
}
}
////////////////////////////////////////////////////////////////////////////////////////////////////
// Convert acc_layout from (MMA=4, MMA_M, MMA_N) to (nrow=(2, MMA_M), ncol=(2, MMA_N))
template<typename Layout>
inline __device__ auto convert_layout_acc_rowcol(Layout acc_layout) {
static_assert(decltype(size<0>(acc_layout))::value == 4);
static_assert(decltype(rank(acc_layout))::value == 3);
auto l = logical_divide(acc_layout, Shape<_2>{}); // ((2, 2), MMA_M, MMA_N)
return make_layout(make_layout(get<0, 1>(l), get<1>(l)), make_layout(get<0, 0>(l), get<2>(l)));
};
////////////////////////////////////////////////////////////////////////////////////////////////////
// Convert rowcol_layout from (nrow=(2, MMA_M), ncol=(2, MMA_N)) to ((2, 2, 2), MMA_M, MMA_N / 2)
// if using m16n8k16, or to ((2, 2, 1), MMA_M, MMA_N) if using m16n8k8.
template<typename MMA_traits, typename Layout>
inline __device__ auto convert_layout_rowcol_Aregs(Layout rowcol_layout) {
using X = Underscore;
static_assert(decltype(size<0, 0>(rowcol_layout))::value == 2);
static_assert(decltype(size<1, 0>(rowcol_layout))::value == 2);
constexpr int mma_shape_K = get<2>(typename MMA_traits::Shape_MNK{});
static_assert(mma_shape_K == 8 || mma_shape_K == 16);
constexpr int MMA_N_divisor = mma_shape_K == 8 ? 1 : 2;
auto l = logical_divide(rowcol_layout, Shape<X, Shape<X, Int<MMA_N_divisor>>>{}); // ((2, MMA_M), (2, (2, MMA_N / 2)))
return make_layout(make_layout(get<1, 0>(l), get<0, 0>(l), get<1, 1, 0>(l)),
get<0, 1>(l),
get<1, 1, 1>(l));
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <typename To_type, typename Engine, typename Layout>
inline __device__ auto convert_type(Tensor<Engine, Layout> const &tensor) {
using From_type = typename Engine::value_type;
constexpr int numel = decltype(size(tensor))::value;
cutlass::NumericArrayConverter<To_type, From_type, numel> convert_op;
// HACK: this requires tensor to be "contiguous"
auto frag = convert_op(*reinterpret_cast<const cutlass::Array<From_type, numel> *>(tensor.data()));
return make_tensor(make_rmem_ptr<To_type>(&frag), tensor.layout());
}
////////////////////////////////////////////////////////////////////////////////////////////////////
template <typename Engine, typename Layout>
inline __device__ void relu_(Tensor<Engine, Layout> &tensor) {
constexpr int numel = decltype(size(tensor))::value;
static_assert(numel % 2 == 0);
using value_t = typename Engine::value_type;
// HACK: this requires tensor to be "contiguous"
Tensor tensor_uint32 = recast<uint32_t>(tensor);
#pragma unroll
for (int i = 0; i < size(tensor_uint32); ++i) {
tensor_uint32(i) = relu2<value_t>(tensor_uint32(i));
}
}
////////////////////////////////////////////////////////////////////////////////////////////////////
// On SM80 and above, we can fuse fp32 -> fp16/bf16 conversion and relu into 1 instruction
template <typename To_type, typename Engine, typename Layout>
inline __device__ auto convert_type_relu(Tensor<Engine, Layout> const &tensor) {
using From_type = typename Engine::value_type;
static_assert(std::is_same_v<To_type, cutlass::half_t> || std::is_same_v<To_type, cutlass::bfloat16_t>);
static_assert(std::is_same_v<float, From_type>);
constexpr int numel = decltype(size(tensor))::value;
static_assert(numel % 2 == 0);
#if defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
// HACK: this requires tensor to be "contiguous"
Tensor tensor_float2 = recast<float2>(tensor);
Tensor out_uint32 = make_tensor<uint32_t>(tensor_float2.layout());
#pragma unroll
for (int i = 0; i < size(out_uint32); ++i) {
out_uint32(i) = convert_relu2<To_type>(tensor_float2(i));
}
Tensor out = make_tensor(make_rmem_ptr<To_type>(out_uint32.data()), tensor.layout());
#else
Tensor out = flash::convert_type<To_type>(tensor);
flash::relu_(out);
#endif
return out;
}
////////////////////////////////////////////////////////////////////////////////////////////////////
// Blocks until all but N previous cp.async.commit_group operations have committed.
// This differs from cute::cp_async_wait in that when N = 0 we don't call cp.async.wait_all
// (which is equivalent to commit_group then wait_group 0).
// Instead we just call cp.async.wait_group 0, which is slightly faster.
// https://github.com/NVIDIA/cutlass/blob/master/include/cute/arch/copy_sm80.hpp#L113
template <int N>
CUTE_HOST_DEVICE
void cp_async_wait() {
#if defined(CUTE_ARCH_CP_ASYNC_SM80_ENABLED)
asm volatile("cp.async.wait_group %0;\n" :: "n"(N));
#endif
}
////////////////////////////////////////////////////////////////////////////////////////////////////
template <bool Is_even_MN=true, bool Is_even_K=true, bool Clear_OOB_MN=false, bool Clear_OOB_K=true,
typename TiledCopy, typename Engine0, typename Layout0, typename Engine1, typename Layout1,
typename Engine2, typename Layout2, typename Engine3, typename Layout3>
inline __device__ void copy(TiledCopy thr_copy, Tensor<Engine0, Layout0> const &S,
Tensor<Engine1, Layout1> &D, Tensor<Engine2, Layout2> const &identity_MN,
Tensor<Engine3, Layout3> const &predicate_K, int max_MN=0) {
CUTE_STATIC_ASSERT_V(rank(S) == Int<3>{});
CUTE_STATIC_ASSERT_V(rank(D) == Int<3>{});
CUTE_STATIC_ASSERT_V(size<0>(S) == size<0>(D)); // MMA
CUTE_STATIC_ASSERT_V(size<1>(S) == size<1>(D)); // MMA_M
CUTE_STATIC_ASSERT_V(size<2>(S) == size<2>(D)); // MMA_K
// There's no case where !Clear_OOB_K && Clear_OOB_MN
static_assert(!(Clear_OOB_MN && !Clear_OOB_K));
#pragma unroll
for (int m = 0; m < size<1>(S); ++m) {
if (Is_even_MN || get<0>(identity_MN(0, m, 0)) < max_MN) {
#pragma unroll
for (int k = 0; k < size<2>(S); ++k) {
if (Is_even_K || predicate_K(k)) {
copy(thr_copy, S(_, m, k), D(_, m, k));
} else if (Clear_OOB_K) {
clear(D(_, m, k));
}
}
} else if (Clear_OOB_MN) {
clear(D(_, m, _));
}
}
// TD [2023-04-13]: Strange that the code below can cause race condition.
// I think it's because the copies are under an if statement.
// if (Is_even_K) {
// #pragma unroll
// for (int m = 0; m < size<1>(S); ++m) {
// if (Is_even_MN || get<0>(identity_MN(0, m, 0)) < max_MN) {
// copy(thr_copy, S(_, m, _), D(_, m, _));
// } else if (Clear_OOB_MN) {
// clear(D(_, m, _));
// }
// }
// } else { // It's slightly faster in this case if iterate over K first
// #pragma unroll
// for (int k = 0; k < size<2>(S); ++k) {
// if (predicate_K(k)) {
// #pragma unroll
// for (int m = 0; m < size<1>(S); ++m) {
// if (Is_even_MN || get<0>(identity_MN(0, m, 0)) < max_MN) {
// copy(thr_copy, S(_, m, k), D(_, m, k));
// } else if (Clear_OOB_MN) {
// clear(D(_, m, k));
// }
// }
// } else if (Clear_OOB_K) { // There's no case where !Clear_OOB_K && Clear_OOB_MN
// if (Clear_OOB_MN || Is_even_MN) {
// clear(D(_, _, k));
// } else {
// #pragma unroll
// for (int m = 0; m < size<1>(S); ++m) {
// if (!(Is_even_MN || get<0>(identity_MN(0, m, 0)) < max_MN)) {
// clear(D(_, m, k));
// }
// }
// }
// }
// }
// }
}
////////////////////////////////////////////////////////////////////////////////////////////////////
} // namespace flash
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