gemv_bf16.h 22.7 KB
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#pragma once

#include "gemv_utils.h"

// Warp Size 根据架构自动选择
#if defined(__HIP_PLATFORM_AMD__)
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#define WARP_SIZE 64 // Hygon/AMD
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#else
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#define WARP_SIZE 32 // Nvidia
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#endif

#define VEC_WIDTH 8
#define OFFSET(i, j, lda) ((i) + (j) * (lda))
#define OFFSET_T(i, j, lda) ((i) * (lda) + (j))

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/**
 * 平台相关的 Shared Memory / LDS
 */
#if defined(__HIP_PLATFORM_AMD__)
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// Hygon/AMD: 64KB LDS per CU
constexpr int MAX_SHMEM_BYTES_PER_BLOCK = 65536;
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#else
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// Nvidia: 48KB
constexpr int MAX_SHMEM_BYTES_PER_BLOCK = 49152;
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#endif

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/**
 * 根据需求的并发 block 数量计算 shmem 用量(即 TILE_K 指定的 BF16 元素个数)
 *
 * AlignElements 为对齐粒度,即元素个数,默认 128-bit 对齐。
 * - 8:  对齐到 128-bit (可能有利于 load128b)
 * - 16: 对齐到 256-bit (某些 MFMA 指令需求)
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 *
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 * concurrent_blocks: 期望的并发 block 数(用于计算可用 shmem)
 * - Hygon/AMD: 表示每个 CU 上的并发 block 数
 * - Nvidia: 设置为 1 即可(每个 block 独立使用 shmem)
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 */
template <int AlignElements = 8>
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constexpr int calculate_tile_k(int concurrent_blocks = 1) {
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  // 安全检查
  if (concurrent_blocks < 1)
    concurrent_blocks = 1;

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  // 计算每个 block 可用的 shmem
  int bytes_per_block = MAX_SHMEM_BYTES_PER_BLOCK / concurrent_blocks;
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  // 转为元素个数
  int max_elements = bytes_per_block / sizeof(hip_bfloat16);

  // 对齐
  return (max_elements / AlignElements) * AlignElements;
}

/// 辅助结构体:把 float4 (128位) 重新解释为 8 个 bf16
struct __align__(16) bf16_x8 {
  hip_bfloat16 vals[VEC_WIDTH];
};

#if !defined(__NVCC__) && !defined(__CUDACC__)
/// 替代 float4,因为 non-temporal load 需要基本类型
typedef float __attribute__((ext_vector_type(4))) float4_native;
#endif

/// 128-bit non-temporal load 或者 cached load
template <bool USE_NTL = false>
__device__ __forceinline__ bf16_x8 load_128b(const hip_bfloat16 *src) {
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  if constexpr (USE_NTL) {
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#if defined(__NVCC__) || defined(__CUDACC__)
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    // Nvidia 平台:PTX 内联汇编实现 cache streaming (ld.global.cs)
    uint4 tmp; // 128-bit = 4 x 32-bit

    asm volatile("ld.global.cs.v4.u32 {%0, %1, %2, %3}, [%4];"
                 : "=r"(tmp.x), "=r"(tmp.y), "=r"(tmp.z), "=r"(tmp.w)
                 : "l"(src)
                 : "memory");

    return *reinterpret_cast<bf16_x8 *>(&tmp);
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#else
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    // Hygon/AMD 平台:使用 Clang 内置 non-temporal load 函数
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    // 把地址转换为 float4_native 指针
    const float4_native *ptr = reinterpret_cast<const float4_native *>(src);

    // 使用 Clang 内置 non-temporal load 函数,生成带有 slc/nt 修饰符的加载指令
    float4_native tmp = __builtin_nontemporal_load(ptr);

    // 把加载到的 128 位数据重新解释为 bf16_x8
    return *reinterpret_cast<bf16_x8 *>(&tmp);
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#endif
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  } else {
    return *reinterpret_cast<const bf16_x8 *>(src);
  }
}

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/** y = alpha * A^T * x + beta * y
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 * Naive 实现:
 * - JKI
 * - 每个线程算一个输出,即 I 循环的一次迭代
 */
__global__ void gemv_bf16_TN_naive(int M, int K, const float alpha,
                                   const hip_bfloat16 *__restrict__ A, int lda,
                                   const hip_bfloat16 *__restrict__ x,
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                                   const float beta,
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                                   hip_bfloat16 *__restrict__ y) {
  int m = blockIdx.x * blockDim.x + threadIdx.x; // output
  if (m >= M)
    return;

  const hip_bfloat16 *row_ptr = A + m * lda;
  float sum = 0.0f;

  for (int k = 0; k < K; k++) {
    float val_a = static_cast<float>(row_ptr[k]);
    float val_x = static_cast<float>(x[k]);
    sum += val_a * val_x;
  }
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  float y_original = static_cast<float>(y[m]);
  y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  return;
}

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/** y = alpha * A^T * x + beta * y
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 * 向量化实现:
 * - JKI
 * - 每个线程算一个输出,即 I 循环的一次迭代。
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 */
template <bool USE_NTL = false>
__global__ void gemv_bf16_TN_vec(int M, int K, const float alpha,
                                 const hip_bfloat16 *__restrict__ A, int lda,
                                 const hip_bfloat16 *__restrict__ x,
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                                 const float beta,
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                                 hip_bfloat16 *__restrict__ y) {
  int m = blockIdx.x * blockDim.x + threadIdx.x; // output
  if (m >= M)
    return;

  const hip_bfloat16 *row_ptr = A + m * lda;
  float sum = 0.0f;

  // 每次读 VEC_WIDTH 个数据
  for (int k = 0; k < K; k += VEC_WIDTH) {
    bf16_x8 a_vec = load_128b<USE_NTL>(&row_ptr[k]);
    bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x[k]);

#pragma unroll
    for (int i = 0; i < VEC_WIDTH; ++i) {
      sum +=
          static_cast<float>(a_vec.vals[i]) * static_cast<float>(x_vec.vals[i]);
    }
  }

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  float y_original = static_cast<float>(y[m]);
  y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  return;
}

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/** y = alpha * A^T * x + beta * y
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 * Warp 归约:
 * - JKI
 * - 每个 warp 算一个输出,相当于用 warp size 作为 stride 沿着 K 方向 tiling。
 * - Warp 内归约。
 */
__global__ void gemv_bf16_TN_warp(int M, int K, const float alpha,
                                  const hip_bfloat16 *__restrict__ A, int lda,
                                  const hip_bfloat16 *__restrict__ x,
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                                  const float beta,
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                                  hip_bfloat16 *__restrict__ y) {
  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;
  int m = blockIdx.x * (blockDim.x / WARP_SIZE) + warp_id;

  if (m >= M)
    return;

  const hip_bfloat16 *row_ptr = A + m * lda;
  float sum = 0.0f;
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  const int stride = WARP_SIZE;
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  for (int k = lane_id; k < K; k += stride) {
    float val_a = static_cast<float>(row_ptr[k]);
    float val_x = static_cast<float>(x[k]);
    sum += val_a * val_x;
  }

#pragma unroll
  for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
    sum += __shfl_down(sum, offset);
  }

  // Lane 0 负责写回
  if (lane_id == 0) {
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    float y_original = static_cast<float>(y[m]);
    y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  }

  return;
}

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/** y = alpha * A^T * x + beta * y
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 * Vec + warp:
 * - JKI
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 * - 每个 warp 算一个输出,warp 内归约。
 */
template <bool USE_NTL = false>
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__global__ void
gemv_bf16_TN_vec_warp(int M, int K, const float alpha,
                      const hip_bfloat16 *__restrict__ A, int lda,
                      const hip_bfloat16 *__restrict__ x, const float beta,
                      hip_bfloat16 *__restrict__ y) {
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  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;
  int m = blockIdx.x * (blockDim.x / WARP_SIZE) + warp_id;

  if (m >= M)
    return;

  const hip_bfloat16 *row_ptr = A + m * lda;
  float sum = 0.0f;
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  const int stride = WARP_SIZE * VEC_WIDTH;
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  for (int k = lane_id * VEC_WIDTH; k < K; k += stride) {
    bf16_x8 a_vec = load_128b<USE_NTL>(&row_ptr[k]);
    bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x[k]);

#pragma unroll
    for (int i = 0; i < VEC_WIDTH; ++i) {
      sum +=
          static_cast<float>(a_vec.vals[i]) * static_cast<float>(x_vec.vals[i]);
    }
  }

#pragma unroll
  for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
    sum += __shfl_down(sum, offset);
  }

  // Lane 0 负责写回
  if (lane_id == 0) {
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    float y_original = static_cast<float>(y[m]);
    y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  }

  return;
}

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/** y = alpha * A^T * x + beta * y
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 * 单线程 vec + warp 处理多行:
 * - JKI
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 * - 每个 warp 处理 ROWS_PER_WARP 个输出行,warp 内归约(每行独立归约)。
 * - 每个 lane 维护 ROWS_PER_WARP 个累加器。
 */
template <bool USE_NTL = false, int ROWS_PER_WARP = 2>
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__global__ void
gemv_bf16_TN_vec_warp_mr(int M, int K, const float alpha,
                         const hip_bfloat16 *__restrict__ A, int lda,
                         const hip_bfloat16 *__restrict__ x, const float beta,
                         hip_bfloat16 *__restrict__ y) {
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  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;

  // 每个 warp 处理 ROWS_PER_WARP 行
  int m_base = blockIdx.x * (blockDim.x / WARP_SIZE) * ROWS_PER_WARP +
               warp_id * ROWS_PER_WARP;

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  // 预先计算每一行的指针和原始 y 值
  const hip_bfloat16 *row_ptr[ROWS_PER_WARP];
  float y_original[ROWS_PER_WARP];

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  // 每个 lane 维护 ROWS_PER_WARP 个累加器
  float sum[ROWS_PER_WARP] = {0.0f};

#pragma unroll
  for (int r = 0; r < ROWS_PER_WARP; ++r) {
    int m = m_base + r;
    // 越界时指向 A,确保地址有效,消除后续分支
    row_ptr[r] = (m < M) ? (A + m * lda) : A;
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    // 读取有效的原始 y 值
    y_original[r] = (m < M) ? static_cast<float>(y[m]) : 0.0f;
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  }

  const int stride = WARP_SIZE * VEC_WIDTH;

  for (int k = lane_id * VEC_WIDTH; k < K; k += stride) {
    bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x[k]);
    bf16_x8 a_vecs[ROWS_PER_WARP];

    // 批量加载,无分支
#pragma unroll
    for (int r = 0; r < ROWS_PER_WARP; ++r) {
      a_vecs[r] = load_128b<USE_NTL>(&row_ptr[r][k]);
    }

    // 批量计算
#pragma unroll
    for (int r = 0; r < ROWS_PER_WARP; ++r) {
#pragma unroll
      for (int i = 0; i < VEC_WIDTH; ++i) {
        sum[r] += static_cast<float>(a_vecs[r].vals[i]) *
                  static_cast<float>(x_vec.vals[i]);
      }
    }
  }

  // Warp 内归约(每行独立归约)
#pragma unroll
  for (int r = 0; r < ROWS_PER_WARP; ++r) {
#pragma unroll
    for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
      sum[r] += __shfl_down(sum[r], offset);
    }

    // Lane 0 写回结果
    if (lane_id == 0) {
      int m = m_base + r;
      if (m < M) {
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        y[m] = hip_bfloat16(alpha * sum[r] + beta * y_original[r]);
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      }
    }
  }

  return;
}

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/** y = alpha * A^T * x + beta * y
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 * 单线程 vec + warp + 主循环 unroll:
 * - JKI
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 * - 每个 warp 算一个输出,warp 内归约。
 * - 主循环 unrolling。
 */
template <bool USE_NTL = false, int UNROLL = 4>
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__global__ void
gemv_bf16_TN_vec_warp_unroll(int M, int K, const float alpha,
                             const hip_bfloat16 *__restrict__ A, int lda,
                             const hip_bfloat16 *__restrict__ x,
                             const float beta, hip_bfloat16 *__restrict__ y) {
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  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;
  int m = blockIdx.x * (blockDim.x / WARP_SIZE) + warp_id;

  if (m >= M)
    return;

  const hip_bfloat16 *row_ptr = A + m * lda;
  float sum = 0.0f;

  // 主循环临时变量
  bf16_x8 a_frag[UNROLL];
  bf16_x8 x_frag[UNROLL];

  int k0 = lane_id * VEC_WIDTH;
  int k = 0;

  // 主循环
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  const int stride = WARP_SIZE * VEC_WIDTH * UNROLL;
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  for (; k <= K - stride; k += stride) {
#pragma unroll
    for (int u = 0; u < UNROLL; ++u) {
      int offset = k + k0 + u * (WARP_SIZE * VEC_WIDTH);
      a_frag[u] = load_128b<USE_NTL>(&row_ptr[offset]);
      x_frag[u] = *reinterpret_cast<const bf16_x8 *>(&x[offset]);
    }

#pragma unroll
    for (int u = 0; u < UNROLL; ++u) {
#pragma unroll
      for (int i = 0; i < VEC_WIDTH; ++i) {
        sum += static_cast<float>(a_frag[u].vals[i]) *
               static_cast<float>(x_frag[u].vals[i]);
      }
    }
  }

  // Tail 循环
  for (; k < K; k += WARP_SIZE * VEC_WIDTH) {
    int offset = k + k0;
    if (offset >= K)
      continue;

    bf16_x8 a_vec = load_128b<USE_NTL>(&row_ptr[offset]);
    bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x[offset]);

    for (int i = 0; i < VEC_WIDTH; ++i) {
      sum +=
          static_cast<float>(a_vec.vals[i]) * static_cast<float>(x_vec.vals[i]);
    }
  }

#pragma unroll
  for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
    sum += __shfl_down(sum, offset);
  }

  // Lane 0 负责写回
  if (lane_id == 0) {
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    float y_original = static_cast<float>(y[m]);
    y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  }

  return;
}

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/** y = alpha * A^T * x + beta * y
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 * 单线程 vec + warp + shmem 缓存 x:
 * - JKI
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 * - 每个 warp 算一个输出,warp 内归约。
 * - shmem 缓存 x,分块加载。
 */
template <bool USE_NTL = false, int TILE_K = 4096>
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__global__ void
gemv_bf16_TN_vec_warp_shm(int M, int K, const float alpha,
                          const hip_bfloat16 *__restrict__ A, int lda,
                          const hip_bfloat16 *__restrict__ x, const float beta,
                          hip_bfloat16 *__restrict__ y) {
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  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;
  int m = blockIdx.x * (blockDim.x / WARP_SIZE) + warp_id;

  // 缓存 x 的一个 tile
  __shared__ hip_bfloat16 x_tile[TILE_K];

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  // 预先计算每一行的指针和原始 y 值
  const hip_bfloat16 *row_ptr = A + m * lda; // 不需要分支
  float y_original = (m < M) ? static_cast<float>(y[m]) : 0.0f;
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  float sum = 0.0f;

  // 外层循环遍历 K 维度的所有 tile
  for (int kk = 0; kk < K; kk += TILE_K) {
    int tile_size = min(TILE_K, K - kk);

    // Step 1: 所有线程协作加载 x 的当前 tile 到 LDS
    // 每个线程加载 VEC_WIDTH 个元素
    for (int i = threadIdx.x * VEC_WIDTH; i < tile_size;
         i += blockDim.x * VEC_WIDTH) {
      if (i + VEC_WIDTH <= tile_size) {
        // 完整的向量化加载
        *reinterpret_cast<bf16_x8 *>(&x_tile[i]) =
            *reinterpret_cast<const bf16_x8 *>(&x[kk + i]);
      } else {
        // Tail 循环逐个加载
        for (int j = 0; j < VEC_WIDTH && i + j < tile_size; ++j) {
          x_tile[i + j] = x[kk + i + j];
        }
      }
    }

    __syncthreads();

    // Step 2: 计算当前 tile 的贡献(有效的 warp 才参与计算)
    if (m < M) {
      const int stride = WARP_SIZE * VEC_WIDTH;

      for (int k = lane_id * VEC_WIDTH; k < tile_size; k += stride) {
        if (k + VEC_WIDTH <= tile_size) {
          // 完整的向量化计算
          bf16_x8 a_vec = load_128b<USE_NTL>(&row_ptr[kk + k]);
          bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x_tile[k]);

#pragma unroll
          for (int i = 0; i < VEC_WIDTH; ++i) {
            sum += static_cast<float>(a_vec.vals[i]) *
                   static_cast<float>(x_vec.vals[i]);
          }
        } else {
          // Tail 循环
          for (int i = 0; i < VEC_WIDTH && k + i < tile_size; ++i) {
            float val_a = static_cast<float>(row_ptr[kk + k + i]);
            float val_x = static_cast<float>(x_tile[k + i]);
            sum += val_a * val_x;
          }
        }
      }
    }

    __syncthreads();
  }

  if (m >= M)
    return;

  // Warp 内归约
#pragma unroll
  for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
    sum += __shfl_down(sum, offset);
  }

  // Lane 0 写回结果
  if (lane_id == 0) {
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    y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  }

  return;
}

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/** y = alpha * A^T * x + beta * y
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 * 单线程 vec + warp + 主循环 unroll + shmem 缓存 x:
 * - JKI
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 * - 每个 warp 算一个输出,warp 内归约。
 * - 主循环 unrolling。
 * - shmem 缓存 x,分块加载。
 */
template <bool USE_NTL = false, int UNROLL = 4, int TILE_K = 4096>
__global__ void gemv_bf16_TN_vec_warp_unroll_shm(
    int M, int K, const float alpha, const hip_bfloat16 *__restrict__ A,
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    int lda, const hip_bfloat16 *__restrict__ x, const float beta,
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    hip_bfloat16 *__restrict__ y) {
  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;
  int m = blockIdx.x * (blockDim.x / WARP_SIZE) + warp_id;

  // 缓存 x 的一个 tile
  __shared__ hip_bfloat16 x_tile[TILE_K];

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  // 预先计算每一行的指针和原始 y 值
  const hip_bfloat16 *row_ptr = A + m * lda; // 不需要分支
  float y_original = (m < M) ? static_cast<float>(y[m]) : 0.0f;
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  float sum = 0.0f;

  // 外层循环遍历 K 维度的所有 tile
  for (int kk = 0; kk < K; kk += TILE_K) {
    int tile_size = min(TILE_K, K - kk);

    // Step 1: 所有线程协作加载 x 的当前 tile 到 LDS
    // 每个线程加载 VEC_WIDTH 个元素
    for (int i = threadIdx.x * VEC_WIDTH; i < tile_size;
         i += blockDim.x * VEC_WIDTH) {
      if (i + VEC_WIDTH <= tile_size) {
        // 完整的向量化加载
        *reinterpret_cast<bf16_x8 *>(&x_tile[i]) =
            *reinterpret_cast<const bf16_x8 *>(&x[kk + i]);
      } else {
        // Tail 循环逐个加载
        for (int j = 0; j < VEC_WIDTH && i + j < tile_size; ++j) {
          x_tile[i + j] = x[kk + i + j];
        }
      }
    }

    __syncthreads();

    // Step 2: 计算当前 tile 的贡献(有效的 warp 才参与计算)
    if (m < M) {
      const int warp_stride = WARP_SIZE * VEC_WIDTH;
      const int unroll_stride = warp_stride * UNROLL;

      int k = lane_id * VEC_WIDTH;

      // 主循环:Unroll
      for (; k <= tile_size - unroll_stride; k += unroll_stride) {
        bf16_x8 a_frag[UNROLL];
        bf16_x8 x_frag[UNROLL];

#pragma unroll
        for (int u = 0; u < UNROLL; ++u) {
          int current_k = k + u * warp_stride;
          a_frag[u] = load_128b<USE_NTL>(&row_ptr[kk + current_k]);
          x_frag[u] = *reinterpret_cast<const bf16_x8 *>(&x_tile[current_k]);
        }

#pragma unroll
        for (int u = 0; u < UNROLL; ++u) {
#pragma unroll
          for (int i = 0; i < VEC_WIDTH; ++i) {
            sum += static_cast<float>(a_frag[u].vals[i]) *
                   static_cast<float>(x_frag[u].vals[i]);
          }
        }
      }

      // Tail 循环
      for (; k < tile_size; k += warp_stride) {
        if (k + VEC_WIDTH <= tile_size) {
          // 完整的向量化计算
          bf16_x8 a_vec = load_128b<USE_NTL>(&row_ptr[kk + k]);
          bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x_tile[k]);

#pragma unroll
          for (int i = 0; i < VEC_WIDTH; ++i) {
            sum += static_cast<float>(a_vec.vals[i]) *
                   static_cast<float>(x_vec.vals[i]);
          }
        } else {
          // Tail 循环
          for (int i = 0; i < VEC_WIDTH && k + i < tile_size; ++i) {
            float val_a = static_cast<float>(row_ptr[kk + k + i]);
            float val_x = static_cast<float>(x_tile[k + i]);
            sum += val_a * val_x;
          }
        }
      }
    }

    __syncthreads();
  }

  if (m >= M)
    return;

  // Warp 内归约
#pragma unroll
  for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
    sum += __shfl_down(sum, offset);
  }

  // Lane 0 写回结果
  if (lane_id == 0) {
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    y[m] = hip_bfloat16(alpha * sum + beta * y_original);
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  }

  return;
}

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/** y = alpha * A^T * x + beta * y
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 * 单线程 vec + warp 处理多行 + shmem 缓存 x:
 * - JKI
 * - 每个线程每次读 VEC_WIDTH 个 bf16 数据(矩阵 A 可用 non-temporal load)。
 * - 每个 warp 处理 ROWS_PER_WARP 个输出行,warp 内归约(每行独立归约)。
 * - 每个 lane 维护 ROWS_PER_WARP 个累加器。
 * - shmem 缓存 x,分块加载。
 */
template <bool USE_NTL = false, int TILE_K = 4096, int ROWS_PER_WARP = 2>
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__global__ void
gemv_bf16_TN_vec_warp_mr_shm(int M, int K, const float alpha,
                             const hip_bfloat16 *__restrict__ A, int lda,
                             const hip_bfloat16 *__restrict__ x,
                             const float beta, hip_bfloat16 *__restrict__ y) {
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  int warp_id = threadIdx.x / WARP_SIZE;
  int lane_id = threadIdx.x % WARP_SIZE;

  // 每个 warp 处理 ROWS_PER_WARP 行
  int m_base = blockIdx.x * (blockDim.x / WARP_SIZE) * ROWS_PER_WARP +
               warp_id * ROWS_PER_WARP;

  // 缓存 x 的一个 tile
  __shared__ hip_bfloat16 x_tile[TILE_K];

  // 每个 lane 维护 ROWS_PER_WARP 个累加器
  float sum[ROWS_PER_WARP] = {0.0f};

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  // 预先计算每一行的指针和原始 y 值
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  const hip_bfloat16 *row_ptr[ROWS_PER_WARP];
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  float y_original[ROWS_PER_WARP];
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#pragma unroll
  for (int r = 0; r < ROWS_PER_WARP; ++r) {
    int m = m_base + r;
    // 越界时指向 A,确保地址有效,消除后续分支
    row_ptr[r] = (m < M) ? (A + m * lda) : A;
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    // 读取有效的原始 y 值
    y_original[r] = (m < M) ? static_cast<float>(y[m]) : 0.0f;
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  }

  // 外层循环遍历 K 维度的所有 tile
  for (int kk = 0; kk < K; kk += TILE_K) {
    int tile_size = min(TILE_K, K - kk);

    // Step 1: 所有线程协作加载 x 的当前 tile 到 LDS
    for (int i = threadIdx.x * VEC_WIDTH; i < tile_size;
         i += blockDim.x * VEC_WIDTH) {
      if (i + VEC_WIDTH <= tile_size) {
        // 完整的向量化加载
        *reinterpret_cast<bf16_x8 *>(&x_tile[i]) =
            *reinterpret_cast<const bf16_x8 *>(&x[kk + i]);
      } else {
        // Tail 循环逐个加载
        for (int j = 0; j < VEC_WIDTH && i + j < tile_size; ++j) {
          x_tile[i + j] = x[kk + i + j];
        }
      }
    }

    __syncthreads();

    // Step 2: 计算当前 tile 的贡献
    // 每个 lane 处理 ROWS_PER_WARP 行
    const int stride = WARP_SIZE * VEC_WIDTH;

    for (int k = lane_id * VEC_WIDTH; k < tile_size; k += stride) {
      if (k + VEC_WIDTH <= tile_size) {
        // 完整的向量化计算
        bf16_x8 x_vec = *reinterpret_cast<const bf16_x8 *>(&x_tile[k]);
        bf16_x8 a_vecs[ROWS_PER_WARP];

        // 批量加载,无分支
#pragma unroll
        for (int r = 0; r < ROWS_PER_WARP; ++r) {
          a_vecs[r] = load_128b<USE_NTL>(&row_ptr[r][kk + k]);
        }

        // 批量计算
#pragma unroll
        for (int r = 0; r < ROWS_PER_WARP; ++r) {
#pragma unroll
          for (int i = 0; i < VEC_WIDTH; ++i) {
            sum[r] += static_cast<float>(a_vecs[r].vals[i]) *
                      static_cast<float>(x_vec.vals[i]);
          }
        }
      } else {
        // Tail 循环
        for (int i = 0; i < VEC_WIDTH && k + i < tile_size; ++i) {
          float val_x = static_cast<float>(x_tile[k + i]);
#pragma unroll
          for (int r = 0; r < ROWS_PER_WARP; ++r) {
            float val_a = static_cast<float>(row_ptr[r][kk + k + i]);
            sum[r] += val_a * val_x;
          }
        }
      }
    }

    __syncthreads();
  }

  // Warp 内归约(每行独立归约)
#pragma unroll
  for (int r = 0; r < ROWS_PER_WARP; ++r) {
#pragma unroll
    for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
      sum[r] += __shfl_down(sum[r], offset);
    }

    // Lane 0 写回结果
    if (lane_id == 0) {
      int m = m_base + r;
      if (m < M) {
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        y[m] = hip_bfloat16(alpha * sum[r] + beta * y_original[r]);
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      }
    }
  }

  return;
}