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submission 78371

gau.nernst · python · License unknown

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Vendorable · source mirrored · license unknownView source →

No package. Vendor the mirrored source: 369 lines, June 9 Researcher Reciprocity License v1.0.

submission_v2d.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-gemv-78371?include=source"
interfacepython
Compatibility
measured onNVIDIA B200
declared hardwareNVIDIA B200
architecturessm_100
dtypesfp8_e4m3, nvfp4

Benchmark evidence

1 measurement across 1 GPU, fastest first.

Operation / workload
Hardware
Latency
Rank
Observed
NVFP4 GEMVsuite of 3 cases
NVIDIA B200
21.7µs
#29 of 678
2025-11-15

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:77ad85e6cede6c33df8b6f11d85301fbea35b92074f2c09d0cb59ad696432157
license declaredunknown
license concludedunknown
authorsgau.nernst
imported2026-08-15

Techniques

Extracted from the mirrored source by pattern, never inferred. Each row cites its line.

async-copyvoid cp_async_2d(int dst, const T *src, int src_stride, int tid) {
fp4"cvt.rn.f16x2.e2m1x2 %0, tmp0; // PTX only supports FP4->FP16\n"
fp8SFA_fp16x2[m] = static_cast<half2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFA_smem_ld + buf_offset + m * SF_BLOCK_K)[0]);
num-warps = 4constexpr int NUM_WARPS = 4;
shared-memoryextern __shared__ char smem[];
stages = 1template <int THREAD_M, int THREAD_K, int NUM_STAGES = 1>
vector-width = half2half2 SFA_fp16x2[THREAD_M], SFB_fp16x2;

Kernel source

submission_v2d.py369 lines
#!POPCORN leaderboard nvfp4_gemv

from pathlib import Path

import torch
from task import input_t, output_t
from torch.utils.cpp_extension import load_inline

CUDA_SRC = r"""
#include <cuda_fp16.h>
#include <cuda_fp8.h>

#include <torch/library.h>
#include <ATen/ATen.h>
#include <ATen/core/Tensor.h>
#include <ATen/cuda/CUDAUtils.h>
#include <ATen/cuda/CUDAContext.h>

constexpr int WARP_SIZE = 32;
constexpr int NUM_WARPS = 4;
constexpr int TB_SIZE = NUM_WARPS * WARP_SIZE;

__device__
void fp4x8_to_fp16x2x4(int in, int *out) {
  asm volatile(
    "{\n"
    ".reg .b8 tmp0, tmp1, tmp2, tmp3;\n"
    "mov.b32 {tmp0, tmp1, tmp2, tmp3}, %4; // unpack 32-bit register to 4x fp4x2\n"
    "cvt.rn.f16x2.e2m1x2 %0, tmp0; // PTX only supports FP4->FP16\n"
    "cvt.rn.f16x2.e2m1x2 %1, tmp1;\n"
    "cvt.rn.f16x2.e2m1x2 %2, tmp2;\n"
    "cvt.rn.f16x2.e2m1x2 %3, tmp3;\n"
    "}\n"
    : "=r"(out[0]), "=r"(out[1]), "=r"(out[2]), "=r"(out[3])
    : "r"(in)
  );
}

template <int HEIGHT, int WIDTH, int TB_SIZE, typename T>
__device__
void cp_async_2d(int dst, const T *src, int src_stride, int tid) {
  auto load = [&](int idx) {
    const int row = idx / WIDTH;
    const int col = idx % WIDTH;

    const int dst_addr = dst + idx * sizeof(T);
    const T *src_addr = src + (row * src_stride + col);
    asm volatile("cp.async.cg.shared.global [%0], [%1], 16;\n" :: "r"(dst_addr), "l"(src_addr));
  };

  constexpr int num_elems = 16 / sizeof(T);
  constexpr int num_iters = HEIGHT * WIDTH / (TB_SIZE * num_elems);

  for (int iter = 0; iter < num_iters; iter++)
    load((iter * TB_SIZE + tid) * num_elems);

  // handle the case when tile size is not divisible by threadblock size
  if constexpr ((HEIGHT * WIDTH) % (TB_SIZE * num_elems) != 0) {
    const int idx = (num_iters * TB_SIZE + tid) * num_elems;
    if (idx < HEIGHT * WIDTH)
      load(idx);
  }
}

// to make our calculations simple, let's treat fp4x2 as a unit.
// hence, K = number of fp4x2 elements, and 8 elements share
// the same scale.
template <int THREAD_M, int THREAD_K, int NUM_STAGES = 1>
__global__
__launch_bounds__(NUM_WARPS * WARP_SIZE)
void kernel(
  const char   *A_ptr,  // [L,   M, K]
  const char   *B_ptr,  // [L, 128, K]
  const char *SFA_ptr,  // [L,   M, K/8]
  const char *SFB_ptr,  // [L, 128, K/8]
        half   *C_ptr,  // [L,   M]
  int L, int M, int K
) {
  // to ensure coalesced access, we need at least 8 threads per row (16B x 8 = 128B)
  // each thread reads 16B, which covers 2 scaled groups. hence, we only need within
  // thread reduction during the main loop.
  static_assert(THREAD_M % 4 == 0);
  static_assert(THREAD_K >= 8);
  static_assert(THREAD_K <= TB_SIZE);
  constexpr int BLOCK_M = (TB_SIZE / THREAD_K) * THREAD_M;
  constexpr int BLOCK_K = THREAD_K * 16;
  constexpr int SF_BLOCK_K = BLOCK_K / 8;

  const int tid = threadIdx.x;
  const int bid = blockIdx.x;
  const int batch_id = blockIdx.y;

  const int lane_id = tid % WARP_SIZE;
  const int warp_id = tid / WARP_SIZE;

  const int off_m = bid * BLOCK_M;
  const int off_k = (tid % THREAD_K) * 16;  // each thread reads 16 fp4x2 values at a time

  A_ptr += (batch_id *   M * K) + (off_m * K);
  B_ptr += (batch_id * 128 * K);

  SFA_ptr += (batch_id *   M * (K / 8)) + (off_m * (K / 8));
  SFB_ptr += (batch_id * 128 * (K / 8));

  // set up smem
  extern __shared__ char smem[];
  const int smem_u32 = static_cast<int>(__cvta_generic_to_shared(smem));
  constexpr int TOTAL_SMEM = (BLOCK_M * BLOCK_K) + (BLOCK_K) + (BLOCK_M * SF_BLOCK_K) + SF_BLOCK_K;

  char   *A_smem = smem;
  char   *B_smem =   A_smem + BLOCK_M * BLOCK_K;
  char *SFA_smem =   B_smem + BLOCK_K;
  char *SFB_smem = SFA_smem + BLOCK_M * SF_BLOCK_K;

  // to be used for smem->rmem load
  char   *A_smem_ld =   A_smem + (tid / THREAD_K) * THREAD_M *    BLOCK_K + off_k;
  char   *B_smem_ld =   B_smem                                            + off_k;
  char *SFA_smem_ld = SFA_smem + (tid / THREAD_K) * THREAD_M * SF_BLOCK_K + (off_k / 8);
  char *SFB_smem_ld = SFB_smem +                                          + (off_k / 8);

  float acc[THREAD_M] = {};

  auto load = [&](int iter_k) {
    // NOTE: since B, SFA, and SFB does not require the whole threadblock to load, we can partition it within the threadblock.
    const int buffer = smem_u32 + (iter_k % NUM_STAGES) * TOTAL_SMEM;
    const int A_buf   = buffer;
    const int B_buf   = A_buf + BLOCK_M * BLOCK_K;
    const int SFA_buf = B_buf + BLOCK_K;
    const int SFB_buf = SFA_buf + BLOCK_M * SF_BLOCK_K;

    cp_async_2d<BLOCK_M,    BLOCK_K, TB_SIZE>(  A_buf,   A_ptr,     K, tid);
    cp_async_2d<      1,    BLOCK_K, TB_SIZE>(  B_buf,   B_ptr,     K, tid);
    cp_async_2d<BLOCK_M, SF_BLOCK_K, TB_SIZE>(SFA_buf, SFA_ptr, K / 8, tid);
    cp_async_2d<      1, SF_BLOCK_K, TB_SIZE>(SFB_buf, SFB_ptr, K / 8, tid);

    asm volatile("cp.async.commit_group;\n");

    A_ptr += BLOCK_K;
    B_ptr += BLOCK_K;
    SFA_ptr += BLOCK_K / 8;
    SFB_ptr += BLOCK_K / 8;
  };

  auto compute = [&](int iter_k) {
    // smem -> rmem
    int A_fp4x8[THREAD_M][4], B_fp4x8[4];
    half2 SFA_fp16x2[THREAD_M], SFB_fp16x2;
    int buf_offset = (iter_k % NUM_STAGES) * TOTAL_SMEM;

    for (int m = 0; m < THREAD_M; m++) {
      reinterpret_cast<int4 *>(A_fp4x8[m])[0] = reinterpret_cast<const int4 *>(A_smem_ld + buf_offset + m * BLOCK_K)[0];
      SFA_fp16x2[m] = static_cast<half2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFA_smem_ld + buf_offset + m * SF_BLOCK_K)[0]);
    }

    reinterpret_cast<int4 *>(B_fp4x8)[0] = reinterpret_cast<const int4 *>(B_smem_ld + buf_offset)[0];
    SFB_fp16x2 = static_cast<half2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFB_smem_ld + buf_offset)[0]);

    // unpack to FP16
    int A_fp16x2[THREAD_M][16], B_fp16x2[16];

    for (int m = 0; m < THREAD_M; m++)
      for (int i = 0; i < 4; i++)
        fp4x8_to_fp16x2x4(A_fp4x8[m][i], A_fp16x2[m] + i * 4);

    for (int i = 0; i < 4; i++)
      fp4x8_to_fp16x2x4(B_fp4x8[i], B_fp16x2 + i * 4);

    for (int m = 0; m < THREAD_M; m++) {
      int sub_acc[2];

      // compute everything in FP16
      for (int group_id = 0; group_id < 2; group_id++) {
        // FMA. manually unroll the 1st iteration
        asm volatile("mul.rn.f16x2 %0, %1, %2;\n"
                    : "=r"(sub_acc[group_id])
                    : "r"(A_fp16x2[m][group_id * 8]), "r"(B_fp16x2[group_id * 8]));
        for (int i = 1; i < 8; i++)
          asm volatile("fma.rn.f16x2 %0, %1, %2, %0;\n"
                      : "+r"(sub_acc[group_id])
                      : "r"(A_fp16x2[m][group_id * 8 + i]), "r"(B_fp16x2[group_id * 8 + i]));
      }

      half2 tmp[2];
      std::memcpy(tmp, sub_acc, sizeof(sub_acc));

      half2 tmptmp;
      tmptmp.x = __hadd(tmp[0].x, tmp[0].y);  // 1st group
      tmptmp.y = __hadd(tmp[1].x, tmp[1].y);  // 2nd group

      // scaling 2 groups in parallel
      tmptmp = __hmul2(tmptmp, SFA_fp16x2[m]);
      tmptmp = __hmul2(tmptmp, SFB_fp16x2);

      // only master accumulation in FP32
      acc[m] += __half2float(tmptmp.x) + __half2float(tmptmp.y);
    }
  };

  for (int iter_k = 0; iter_k < NUM_STAGES - 1; iter_k++)
    load(iter_k);

  const int num_iters = K / BLOCK_K;
  for (int iter_k = 0; iter_k < num_iters - (NUM_STAGES - 1); iter_k++) {
    // gmem -> smem
    load(iter_k + NUM_STAGES - 1);

    asm volatile("cp.async.wait_group %0;\n" :: "n"(NUM_STAGES - 1));
    __syncthreads();  // memory barrier

    compute(iter_k);
    __syncthreads();  // make sure finish using the buffer for the next prefetch
  }

  asm volatile("cp.async.wait_all;\n");
  __syncthreads();  // memory barrier

  for (int k = 0; k < NUM_STAGES - 1; k++)
    compute(num_iters - (NUM_STAGES - 1) + k);

  int64_t acc_fp32x2[THREAD_M / 2];
  std::memcpy(acc_fp32x2, acc, THREAD_M * sizeof(float));

  // threadblock reduction
  if constexpr (THREAD_K > WARP_SIZE) {
    // reuse dynamic smem
    // using layout float red_smem[THREAD_M / 4][TB_SIZE][4]
    // to avoid bank conflicts when doing 16-byte loads/stores
    float *red_smem = reinterpret_cast<float *>(smem);

    // 16-byte store
    for (int i = 0; i < THREAD_M / 4; i++)
      reinterpret_cast<float4 *>(red_smem)[i * TB_SIZE + tid] = reinterpret_cast<float4 *>(acc_fp32x2)[i];
    __syncthreads();

    for (int stride = THREAD_K / 2; stride >= WARP_SIZE; stride /= 2) {
      if ((tid % THREAD_K) < stride) {
        for (int i = 0; i < THREAD_M / 4; i++) {
          int64_t tmp[2];

          // 16-byte load
          reinterpret_cast<float4 *>(tmp)[0] = reinterpret_cast<float4 *>(red_smem)[i * TB_SIZE + (tid + stride)];

          // f32x2 math
          asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[i * 2 + 0]) : "l"(tmp[0]));
          asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[i * 2 + 1]) : "l"(tmp[1]));

          // 16-byte store
          reinterpret_cast<float4 *>(red_smem)[i * TB_SIZE + tid] = reinterpret_cast<float4 *>(acc_fp32x2)[i];
        }
      }
      __syncthreads();
    }
  }

  // warp reduction
  constexpr int start_stride = std::min(THREAD_K, WARP_SIZE) / 2;
  for (int stride = start_stride; stride > 0; stride /= 2)
    for (int i = 0; i < THREAD_M / 2; i++) {
      int64_t tmp = __shfl_down_sync(0xFFFF'FFFF, acc_fp32x2[i], stride);
      asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[i]) : "l"(tmp));
    }

  if (tid % THREAD_K == 0) {
    half2 out[THREAD_M / 2];

    for (int i = 0; i < THREAD_M / 2; i++)
      out[i] = __float22half2_rn(reinterpret_cast<float2 *>(&acc_fp32x2[i])[0]);

    half *out_ptr = C_ptr + (batch_id * M) + off_m + (tid / THREAD_K) * THREAD_M;

    if constexpr (THREAD_M == 4) {
      // 8-byte store
      reinterpret_cast<int2 *>(out_ptr)[0] = reinterpret_cast<int2 *>(out)[0];
    }
    else {
      // 16-byte store. only when THREAD_M = 8, this is coalesced.
      for (int i = 0; i < THREAD_M / 8; i++)
        reinterpret_cast<int4 *>(out_ptr)[i] = reinterpret_cast<int4 *>(out)[i];
    }
  }
}

void gemv(
  const at::Tensor& A,
  const at::Tensor& B,
  const at::Tensor& SFA,
  const at::Tensor& SFB,
        at::Tensor& C
) {
  const int M = A.size(0);
  const int K = A.size(1);
  const int L = A.size(2);

  auto A_ptr = reinterpret_cast<const char *>(A.data_ptr());
  auto B_ptr = reinterpret_cast<const char *>(B.data_ptr());
  auto SFA_ptr = reinterpret_cast<const char *>(SFA.data_ptr());
  auto SFB_ptr = reinterpret_cast<const char *>(SFB.data_ptr());
  auto C_ptr = reinterpret_cast<half *>(C.data_ptr());

  auto stream = at::cuda::getCurrentCUDAStream();
  constexpr int NUM_STAGES = 2;

#define launch(THREAD_M, THREAD_K) { \
  int BLOCK_M = (TB_SIZE / THREAD_K) * THREAD_M; \
  int BLOCK_K = THREAD_K * 16; \
  int SF_BLOCK_K = BLOCK_K / 8; \
  int TOTAL_SMEM = (BLOCK_M * BLOCK_K) + (BLOCK_K) + (BLOCK_M * SF_BLOCK_K) + SF_BLOCK_K; \
  dim3 grid(M / BLOCK_M, L); \
  int smem_size = TOTAL_SMEM * NUM_STAGES; \
  auto this_kernel = kernel<THREAD_M, THREAD_K, NUM_STAGES>; \
  if (smem_size > 48'000) \
    cudaFuncSetAttribute(this_kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_size); \
  this_kernel<<<grid, TB_SIZE, smem_size, stream>>>(A_ptr, B_ptr, SFA_ptr, SFB_ptr, C_ptr, L, M, K); \
}

  if (false) {}
  else if (K % (128 * 16) == 0) launch(4, 128)  // benchmark.0
  else if (K % (32 * 16) == 0) launch(4, 32)    // benchmark.1 and benchmark.2
  else launch(4, 8)                             // the rest

#undef launch
}

TORCH_LIBRARY(my_module, m) {
  m.def("gemv(Tensor A, Tensor B, Tensor SFA, Tensor SFB, Tensor(a!) C) -> ()");
  m.impl("gemv", &gemv);
}
"""

load_inline(
    "gemv_c0",
    cpp_sources="",
    cuda_sources=CUDA_SRC,
    verbose=True,
    is_python_module=False,
    no_implicit_headers=True,
    extra_cuda_cflags=[
        "-O3",
        "-gencode=arch=compute_100a,code=sm_100a",
        "-gencode=arch=compute_120a,code=sm_120a",
        "-lineinfo",
        "-Xptxas=-v",
    ],
)


def custom_kernel(data: input_t) -> output_t:
    # a:   [  M, K, L],                   natural shape [L,   M, K]
    # b:   [128, K, L],                   natural shape [L, 128, K] - only the 1st row is used
    # sfa: [32, 4, rest_m, 4, rest_k, L], natural shape [L, rest_m, rest_k, 32, 4, 4]
    # sfb: [32, 4,      1, 4, rest_k, L], natural shape [L,      1, rest_k, 32, 4, 4]
    # c:   [  M, 1, L],                   natural shape [L, M, 1]
    a, b, sfa, sfb, _, _, c_ref = data
    torch.ops.my_module.gemv(a, b, sfa, sfb, c_ref)

    if False:
        M, K, L = a.shape
        path = Path(f"profile_data/{M=}_K={K * 2}_{L=}.json.gz")
        if not path.exists():
            a.new_zeros(int(1e8), dtype=torch.uint8)  # 100 MB

            with torch.profiler.profile() as prof:
                torch.ops.my_module.gemv(a, b, sfa, sfb, c_ref)

            path.parent.mkdir(exist_ok=True)
            prof.export_chrome_trace(str(path))

    return c_ref
scrolls · 369 lines total

Source code from GPU Mode and the KernelBot dataset · June 9 Researcher Reciprocity License v1.0

Changes from previous submission

Against this author's previous submission submission 78296.

⋯ 18 unchanged lines
constexpr int WARP_SIZE = 32;
constexpr int NUM_WARPS = 4;
constexpr int TB_SIZE = NUM_WARPS * WARP_SIZE;
- constexpr int THREAD_M = 4;
__device__
- void fp4x8_to_fp32x2x4(int in, int64_t *out) {
- int tmp[4];
+ void fp4x8_to_fp16x2x4(int in, int *out) {
asm volatile(
"{\n"
".reg .b8 tmp0, tmp1, tmp2, tmp3;\n"
⋯ 3 unchanged lines
"cvt.rn.f16x2.e2m1x2 %2, tmp2;\n"
"cvt.rn.f16x2.e2m1x2 %3, tmp3;\n"
"}\n"
- : "=r"(tmp[0]), "=r"(tmp[1]), "=r"(tmp[2]), "=r"(tmp[3])
+ : "=r"(out[0]), "=r"(out[1]), "=r"(out[2]), "=r"(out[3])
: "r"(in)
);
-
- for (int i = 0; i < 4; i++)
- asm volatile(
- "{\n"
- ".reg .b16 b16_0, b16_1;\n"
- ".reg .b32 f32_0, f32_1;\n"
- "mov.b32 {b16_0, b16_1}, %1; // unpack\n"
- "cvt.f32.f16 f32_0, b16_0;\n"
- "cvt.f32.f16 f32_1, b16_1;\n"
- "mov.b64 %0, {f32_0, f32_1}; // pack\n"
- "}\n"
- : "=l"(out[i])
- : "r"(tmp[i])
- );
}
template <int HEIGHT, int WIDTH, int TB_SIZE, typename T>
⋯ 25 unchanged lines
// to make our calculations simple, let's treat fp4x2 as a unit.
// hence, K = number of fp4x2 elements, and 8 elements share
// the same scale.
- template <int THREAD_K, int NUM_STAGES = 1>
+ template <int THREAD_M, int THREAD_K, int NUM_STAGES = 1>
__global__
__launch_bounds__(NUM_WARPS * WARP_SIZE)
void kernel(
- const char *A_ptr, // [L, M, K]
- const char *B_ptr, // [L, 128, K]
- const __nv_fp8_e4m3 *SFA_ptr, // [L, M, K/8]
- const __nv_fp8_e4m3 *SFB_ptr, // [L, 128, K/8]
- half *C_ptr, // [L, M]
+ const char *A_ptr, // [L, M, K]
+ const char *B_ptr, // [L, 128, K]
+ const char *SFA_ptr, // [L, M, K/8]
+ const char *SFB_ptr, // [L, 128, K/8]
+ half *C_ptr, // [L, M]
int L, int M, int K
) {
// to ensure coalesced access, we need at least 8 threads per row (16B x 8 = 128B)
// each thread reads 16B, which covers 2 scaled groups. hence, we only need within
// thread reduction during the main loop.
- static_assert(THREAD_M == 4);
+ static_assert(THREAD_M % 4 == 0);
static_assert(THREAD_K >= 8);
static_assert(THREAD_K <= TB_SIZE);
constexpr int BLOCK_M = (TB_SIZE / THREAD_K) * THREAD_M;
⋯ 56 unchanged lines
};
auto compute = [&](int iter_k) {
+ // smem -> rmem
int A_fp4x8[THREAD_M][4], B_fp4x8[4];
- float2 SFA_fp32x2[THREAD_M], SFB_fp32x2;
+ half2 SFA_fp16x2[THREAD_M], SFB_fp16x2;
int buf_offset = (iter_k % NUM_STAGES) * TOTAL_SMEM;
for (int m = 0; m < THREAD_M; m++) {
reinterpret_cast<int4 *>(A_fp4x8[m])[0] = reinterpret_cast<const int4 *>(A_smem_ld + buf_offset + m * BLOCK_K)[0];
- SFA_fp32x2[m] = static_cast<float2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFA_smem_ld + buf_offset + m * SF_BLOCK_K)[0]);
+ SFA_fp16x2[m] = static_cast<half2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFA_smem_ld + buf_offset + m * SF_BLOCK_K)[0]);
}
reinterpret_cast<int4 *>(B_fp4x8)[0] = reinterpret_cast<const int4 *>(B_smem_ld + buf_offset)[0];
- SFB_fp32x2 = static_cast<float2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFB_smem_ld + buf_offset)[0]);
+ SFB_fp16x2 = static_cast<half2>(reinterpret_cast<const __nv_fp8x2_e4m3 *>(SFB_smem_ld + buf_offset)[0]);
- // unpack to FP32
- int64_t A_fp32x2[THREAD_M][16], B_fp32x2[16];
+ // unpack to FP16
+ int A_fp16x2[THREAD_M][16], B_fp16x2[16];
for (int m = 0; m < THREAD_M; m++)
for (int i = 0; i < 4; i++)
- fp4x8_to_fp32x2x4(A_fp4x8[m][i], A_fp32x2[m] + i * 4);
+ fp4x8_to_fp16x2x4(A_fp4x8[m][i], A_fp16x2[m] + i * 4);
for (int i = 0; i < 4; i++)
- fp4x8_to_fp32x2x4(B_fp4x8[i], B_fp32x2 + i * 4);
+ fp4x8_to_fp16x2x4(B_fp4x8[i], B_fp16x2 + i * 4);
- for (int m = 0; m < THREAD_M; m++)
+ for (int m = 0; m < THREAD_M; m++) {
+ int sub_acc[2];
+
+ // compute everything in FP16
for (int group_id = 0; group_id < 2; group_id++) {
// FMA. manually unroll the 1st iteration
- int64_t sub_acc;
- asm volatile("mul.rn.f32x2 %0, %1, %2;\n"
- : "=l"(sub_acc)
- : "l"(A_fp32x2[m][group_id * 8]), "l"(B_fp32x2[group_id * 8]));
+ asm volatile("mul.rn.f16x2 %0, %1, %2;\n"
+ : "=r"(sub_acc[group_id])
+ : "r"(A_fp16x2[m][group_id * 8]), "r"(B_fp16x2[group_id * 8]));
for (int i = 1; i < 8; i++)
- asm volatile("fma.rn.f32x2 %0, %1, %2, %0;\n"
- : "+l"(sub_acc)
- : "l"(A_fp32x2[m][group_id * 8 + i]), "l"(B_fp32x2[group_id * 8 + i]));
+ asm volatile("fma.rn.f16x2 %0, %1, %2, %0;\n"
+ : "+r"(sub_acc[group_id])
+ : "r"(A_fp16x2[m][group_id * 8 + i]), "r"(B_fp16x2[group_id * 8 + i]));
+ }
- float tmp[2];
- std::memcpy(tmp, &sub_acc, sizeof(sub_acc));
+ half2 tmp[2];
+ std::memcpy(tmp, sub_acc, sizeof(sub_acc));
- float sfa = reinterpret_cast<float *>(SFA_fp32x2 + m)[group_id];
- float sfb = reinterpret_cast<float *>(&SFB_fp32x2)[group_id];
- acc[m] += (tmp[0] + tmp[1]) * sfa * sfb;
- }
+ half2 tmptmp;
+ tmptmp.x = __hadd(tmp[0].x, tmp[0].y); // 1st group
+ tmptmp.y = __hadd(tmp[1].x, tmp[1].y); // 2nd group
+
+ // scaling 2 groups in parallel
+ tmptmp = __hmul2(tmptmp, SFA_fp16x2[m]);
+ tmptmp = __hmul2(tmptmp, SFB_fp16x2);
+
+ // only master accumulation in FP32
+ acc[m] += __half2float(tmptmp.x) + __half2float(tmptmp.y);
+ }
};
for (int iter_k = 0; iter_k < NUM_STAGES - 1; iter_k++)
⋯ 4 unchanged lines
// gmem -> smem
load(iter_k + NUM_STAGES - 1);
- // smem -> rmem
asm volatile("cp.async.wait_group %0;\n" :: "n"(NUM_STAGES - 1));
__syncthreads(); // memory barrier
compute(iter_k);
- __syncthreads(); // make sure previous compute finish using the buffer
+ __syncthreads(); // make sure finish using the buffer for the next prefetch
}
asm volatile("cp.async.wait_all;\n");
⋯ 2 unchanged lines
for (int k = 0; k < NUM_STAGES - 1; k++)
compute(num_iters - (NUM_STAGES - 1) + k);
- // this is so cursed
- int64_t acc_fp32x2[2]; // 16-byte in total
+ int64_t acc_fp32x2[THREAD_M / 2];
std::memcpy(acc_fp32x2, acc, THREAD_M * sizeof(float));
// threadblock reduction
if constexpr (THREAD_K > WARP_SIZE) {
// reuse dynamic smem
- // using layout float red_smem[TB_SIZE][4]
+ // using layout float red_smem[THREAD_M / 4][TB_SIZE][4]
+ // to avoid bank conflicts when doing 16-byte loads/stores
float *red_smem = reinterpret_cast<float *>(smem);
// 16-byte store
- reinterpret_cast<float4 *>(red_smem)[tid] = reinterpret_cast<float4 *>(acc_fp32x2)[0];
+ for (int i = 0; i < THREAD_M / 4; i++)
+ reinterpret_cast<float4 *>(red_smem)[i * TB_SIZE + tid] = reinterpret_cast<float4 *>(acc_fp32x2)[i];
__syncthreads();
for (int stride = THREAD_K / 2; stride >= WARP_SIZE; stride /= 2) {
if ((tid % THREAD_K) < stride) {
- int64_t tmp[2];
+ for (int i = 0; i < THREAD_M / 4; i++) {
+ int64_t tmp[2];
- // 16-byte load
- reinterpret_cast<float4 *>(tmp)[0] = reinterpret_cast<float4 *>(red_smem)[tid + stride];
+ // 16-byte load
+ reinterpret_cast<float4 *>(tmp)[0] = reinterpret_cast<float4 *>(red_smem)[i * TB_SIZE + (tid + stride)];
- asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[0]) : "l"(tmp[0]));
- asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[1]) : "l"(tmp[1]));
+ // f32x2 math
+ asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[i * 2 + 0]) : "l"(tmp[0]));
+ asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[i * 2 + 1]) : "l"(tmp[1]));
- // 16-byte store
- reinterpret_cast<float4 *>(red_smem)[tid] = reinterpret_cast<float4 *>(acc_fp32x2)[0];
+ // 16-byte store
+ reinterpret_cast<float4 *>(red_smem)[i * TB_SIZE + tid] = reinterpret_cast<float4 *>(acc_fp32x2)[i];
+ }
}
__syncthreads();
}
⋯ 1 unchanged lines
// warp reduction
constexpr int start_stride = std::min(THREAD_K, WARP_SIZE) / 2;
- for (int stride = start_stride; stride > 0; stride /= 2) {
- int64_t tmp[2];
- tmp[0] = __shfl_down_sync(0xFFFF'FFFF, acc_fp32x2[0], stride);
- tmp[1] = __shfl_down_sync(0xFFFF'FFFF, acc_fp32x2[1], stride);
- asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[0]) : "l"(tmp[0]));
- asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[1]) : "l"(tmp[1]));
- }
+ for (int stride = start_stride; stride > 0; stride /= 2)
+ for (int i = 0; i < THREAD_M / 2; i++) {
+ int64_t tmp = __shfl_down_sync(0xFFFF'FFFF, acc_fp32x2[i], stride);
+ asm volatile("add.rn.f32x2 %0, %0, %1;\n" : "+l"(acc_fp32x2[i]) : "l"(tmp));
+ }
if (tid % THREAD_K == 0) {
- half2 out[2];
- out[0] = __float22half2_rn(reinterpret_cast<float2 *>(&acc_fp32x2)[0]);
- out[1] = __float22half2_rn(reinterpret_cast<float2 *>(&acc_fp32x2)[1]);
+ half2 out[THREAD_M / 2];
- // 8-byte store
+ for (int i = 0; i < THREAD_M / 2; i++)
+ out[i] = __float22half2_rn(reinterpret_cast<float2 *>(&acc_fp32x2[i])[0]);
+
half *out_ptr = C_ptr + (batch_id * M) + off_m + (tid / THREAD_K) * THREAD_M;
- reinterpret_cast<int2 *>(out_ptr)[0] = reinterpret_cast<int2 *>(out)[0];
+
+ if constexpr (THREAD_M == 4) {
+ // 8-byte store
+ reinterpret_cast<int2 *>(out_ptr)[0] = reinterpret_cast<int2 *>(out)[0];
+ }
+ else {
+ // 16-byte store. only when THREAD_M = 8, this is coalesced.
+ for (int i = 0; i < THREAD_M / 8; i++)
+ reinterpret_cast<int4 *>(out_ptr)[i] = reinterpret_cast<int4 *>(out)[i];
+ }
}
}
⋯ 10 unchanged lines
auto A_ptr = reinterpret_cast<const char *>(A.data_ptr());
auto B_ptr = reinterpret_cast<const char *>(B.data_ptr());
- auto SFA_ptr = reinterpret_cast<const __nv_fp8_e4m3 *>(SFA.data_ptr());
- auto SFB_ptr = reinterpret_cast<const __nv_fp8_e4m3 *>(SFB.data_ptr());
+ auto SFA_ptr = reinterpret_cast<const char *>(SFA.data_ptr());
+ auto SFB_ptr = reinterpret_cast<const char *>(SFB.data_ptr());
auto C_ptr = reinterpret_cast<half *>(C.data_ptr());
auto stream = at::cuda::getCurrentCUDAStream();
constexpr int NUM_STAGES = 2;
- #define launch(THREAD_K) { \
+ #define launch(THREAD_M, THREAD_K) { \
int BLOCK_M = (TB_SIZE / THREAD_K) * THREAD_M; \
int BLOCK_K = THREAD_K * 16; \
int SF_BLOCK_K = BLOCK_K / 8; \
int TOTAL_SMEM = (BLOCK_M * BLOCK_K) + (BLOCK_K) + (BLOCK_M * SF_BLOCK_K) + SF_BLOCK_K; \
dim3 grid(M / BLOCK_M, L); \
int smem_size = TOTAL_SMEM * NUM_STAGES; \
- kernel<THREAD_K, NUM_STAGES><<<grid, TB_SIZE, smem_size, stream>>>(A_ptr, B_ptr, SFA_ptr, SFB_ptr, C_ptr, L, M, K); \
+ auto this_kernel = kernel<THREAD_M, THREAD_K, NUM_STAGES>; \
+ if (smem_size > 48'000) \
+ cudaFuncSetAttribute(this_kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_size); \
+ this_kernel<<<grid, TB_SIZE, smem_size, stream>>>(A_ptr, B_ptr, SFA_ptr, SFB_ptr, C_ptr, L, M, K); \
}
if (false) {}
- else if (K % (128 * 16) == 0) launch(128) // benchmark.0
- else if (K % (32 * 16) == 0) launch(32) // benchmark.1 and benchmark.2
- else launch(8) // the rest
+ else if (K % (128 * 16) == 0) launch(4, 128) // benchmark.0
+ else if (K % (32 * 16) == 0) launch(4, 32) // benchmark.1 and benchmark.2
+ else launch(4, 8) // the rest
#undef launch
}
⋯ 16 unchanged lines
"-gencode=arch=compute_100a,code=sm_100a",
"-gencode=arch=compute_120a,code=sm_120a",
"-lineinfo",
+ "-Xptxas=-v",
],
)
scrolls · 297 diff lines total

Best evidence level for this revision: reported

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