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submission 278847

macto · python · License unknown

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Vendorable · source mirrored · license unknownView source →

No package. Vendor the mirrored source: 1300 lines, June 9 Researcher Reciprocity License v1.0.

submission.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-dual-gemm-278847?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 dual GEMMsuite of 4 cases
NVIDIA B200
16.2µs
#129 of 420
2026-01-05

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:c8b6133a7f35a2dc4da96f2e2db0c420905e6aab3048a4b1911859663e30c960
license declaredunknown
license concludedunknown
authorsmacto
imported2026-08-15

Techniques

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

cluster__cluster_dims__(2, 1, 1)
fused-epilogueconstexpr int NUM_WARPS = BLOCK_M / WARP_SIZE + 3; // 4 epilogue + 1 SF + 1 TMA + 1 MMA = 7
mbarriervoid mbarrier_init(int mbar_addr, int count) {
persistent-kernelvoid dual_gemm_cta2_persistent_kernel(
shared-memoryvoid tma_3d_gmem2smem_mcast(int dst, const void *tmap_ptr, int x, int y, int z,
tcgen05asm volatile("tcgen05.cp.cta_group::2.32x128b.warpx4 [%0], %1;"
tile-n = 64static_assert(BLOCK_N == 64, "Persistent kernel variant is intended for BLOCK_N=64 only.");
tma"cp.async.bulk.tensor.3d.shared::cluster.global.mbarrier::complete_tx::bytes.cta_group::%6.L2::cache_hint "
vector-width = half2half2 silu_mul_h2(float x0, float x1, float y0, float y1) {

Kernel source

submission.py1300 lines
#!POPCORN leaderboard nvfp4_dual_gemm
#!POPCORN gpu NVIDIA

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

# ============================================================================
# NVFP4 block-scaled dual GEMM with SiLU: C = silu(A @ B1) * (A @ B2)
#
# This single-file submission contains two kernels:
# - Persistent kernel (BLOCK_N=64, accumulator ping-pong) for (M,N,K)=(256,4096,7168)
# - v6 kernel for all other cases (M=512 uses BLOCK_N=128; M=256 uses BLOCK_N=64)
# ============================================================================

CUDA_SOURCE = r"""
#include <cudaTypedefs.h>
#include <cuda_fp16.h>
#include <cuda_fp8.h>
#include <torch/library.h>
#include <ATen/core/Tensor.h>

constexpr int WARP_SIZE = 32;
constexpr int MMA_K = 64;

// L2 Cache Hints (from 1st.py)
constexpr uint64_t EVICT_FIRST  = 0x12F0000000000000ULL;
constexpr uint64_t EVICT_LAST   = 0x14F0000000000000ULL;

// ============================================================================
// PTX Helper Functions
// ============================================================================

__device__ __forceinline__
constexpr uint64_t desc_encode(uint64_t x) { 
    return (x & 0x3'FFFFULL) >> 4ULL; 
}

__device__ __forceinline__
half2 silu_mul_h2(float x0, float x1, float y0, float y1) {
    // SiLU(x) = x / (1 + exp(-x)), computed in FP32 then multiplied by y.
    const float s0 = __fdividef(x0, 1.0f + __expf(-x0));
    const float s1 = __fdividef(x1, 1.0f + __expf(-x1));
    return __float22half2_rn({s0 * y0, s1 * y1});
}

// 32B global store (4x64b) to improve L1TEX sector utilization vs 16B stores.
__device__ __forceinline__
void stg_32b(const void* dst, unsigned long long v0, unsigned long long v1,
            unsigned long long v2, unsigned long long v3) {
    asm volatile(
        "st.global.v4.b64 [%0], {%1, %2, %3, %4};"
        :: "l"(dst), "l"(v0), "l"(v1), "l"(v2), "l"(v3)
        : "memory"
    );
}

__device__ __forceinline__
uint32_t elect_sync() {
    uint32_t pred = 0;
    asm volatile(
        "{\n\t"
        ".reg .pred %%px;\n\t"
        "elect.sync _|%%px, %1;\n\t"
        "@%%px mov.s32 %0, 1;\n\t"
        "}"
        : "+r"(pred)
        : "r"(0xFFFFFFFF)
    );
    return pred;
}

__device__ __forceinline__
void mbarrier_init(int mbar_addr, int count) {
    asm volatile("mbarrier.init.shared::cta.b64 [%0], %1;" 
                 :: "r"(mbar_addr), "r"(count));
}

__device__ __forceinline__
void mbarrier_wait(int mbar_addr, int phase) {
    uint32_t ticks = 0x989680;
    asm volatile(
        "{\n\t"
        ".reg .pred P1;\n\t"
        "LAB_WAIT:\n\t"
        "mbarrier.try_wait.parity.acquire.cta.shared::cta.b64 P1, [%0], %1, %2;\n\t"
        "@P1 bra.uni DONE;\n\t"
        "bra.uni LAB_WAIT;\n\t"
        "DONE:\n\t"
        "}"
        :: "r"(mbar_addr), "r"(phase), "r"(ticks)
    );
}

// TMA with .cta_group::2 and L2 cache hint
// The .cta_group::2 modifier allows mbar_addr and dst to be in different CTA's smem
template <int CTA_GROUP>
__device__ __forceinline__
void tma_3d_gmem2smem(int dst, const void *tmap_ptr, int x, int y, int z, int mbar_addr, uint64_t cache_policy) {
    asm volatile(
        "cp.async.bulk.tensor.3d.shared::cluster.global.mbarrier::complete_tx::bytes.cta_group::%6.L2::cache_hint "
        "[%0], [%1, {%2, %3, %4}], [%5], %7;"
        :: "r"(dst), "l"(tmap_ptr), "r"(x), "r"(y), "r"(z), "r"(mbar_addr), "n"(CTA_GROUP), "l"(cache_policy)
        : "memory"
    );
}

// Tensor TMA multicast to multiple CTAs in the cluster.
// - Copies to the same dst offset in each destination CTA's shared memory.
// - With cta_group::2 and mbar in CTA0, the completion signal is directed to CTA0 for the CTA-pair.
template <int CTA_GROUP>
__device__ __forceinline__
void tma_3d_gmem2smem_mcast(int dst, const void *tmap_ptr, int x, int y, int z,
                           int mbar_addr, uint16_t cta_mask, uint64_t cache_policy) {
    asm volatile(
        "cp.async.bulk.tensor.3d.shared::cluster.global.mbarrier::complete_tx::bytes.multicast::cluster.cta_group::%6.L2::cache_hint "
        "[%0], [%1, {%2, %3, %4}], [%5], %7, %8;"
        :: "r"(dst), "l"(tmap_ptr), "r"(x), "r"(y), "r"(z),
           "r"(mbar_addr), "n"(CTA_GROUP), "h"(cta_mask), "l"(cache_policy)
        : "memory"
    );
}

// Scale factor copy with cta_group::2
__device__ __forceinline__
void tcgen05_cp_cta2(int taddr, uint64_t s_desc) {
    asm volatile("tcgen05.cp.cta_group::2.32x128b.warpx4 [%0], %1;" 
                 :: "r"(taddr), "l"(s_desc));
}

__device__ __forceinline__
void tcgen05_mma_cta2(
    int d_tmem,
    uint64_t a_desc,
    uint64_t b_desc,
    uint32_t i_desc,
    int scale_A_tmem,
    int scale_B_tmem,
    int enable_input_d
) {
    asm volatile(
        "{\n\t"
        ".reg .pred p;\n\t"
        "setp.ne.b32 p, %6, 0;\n\t"
        "tcgen05.mma.cta_group::2.kind::mxf4nvf4.block_scale.block16 "
        "[%0], %1, %2, %3, [%4], [%5], p;\n\t"
        "}"
        :: "r"(d_tmem), "l"(a_desc), "l"(b_desc), "r"(i_desc),
           "r"(scale_A_tmem), "r"(scale_B_tmem), "r"(enable_input_d)
    );
}

__device__ __forceinline__
void tcgen05_ld_32x32bx8(float *tmp, int addr) {
    asm volatile(
        "tcgen05.ld.sync.aligned.32x32b.x8.b32 "
        "{%0, %1, %2, %3, %4, %5, %6, %7}, [%8];"
        : "=f"(tmp[0]), "=f"(tmp[1]), "=f"(tmp[2]), "=f"(tmp[3]),
          "=f"(tmp[4]), "=f"(tmp[5]), "=f"(tmp[6]), "=f"(tmp[7])
        : "r"(addr)
    );
}

// Wider TMEM loads for faster epilogue - takes full address (taddr + (row << 16) + col)
__device__ __forceinline__
void tcgen05_ld_32x32bx32_addr(float *tmp, int addr) {
    asm volatile(
        "tcgen05.ld.sync.aligned.32x32b.x32.b32 "
        "{ %0,  %1,  %2,  %3,  %4,  %5,  %6,  %7, "
        "  %8,  %9, %10, %11, %12, %13, %14, %15, "
        " %16, %17, %18, %19, %20, %21, %22, %23, "
        " %24, %25, %26, %27, %28, %29, %30, %31}, [%32];"
        : "=f"(tmp[0]),  "=f"(tmp[1]),  "=f"(tmp[2]),  "=f"(tmp[3]),
          "=f"(tmp[4]),  "=f"(tmp[5]),  "=f"(tmp[6]),  "=f"(tmp[7]),
          "=f"(tmp[8]),  "=f"(tmp[9]),  "=f"(tmp[10]), "=f"(tmp[11]),
          "=f"(tmp[12]), "=f"(tmp[13]), "=f"(tmp[14]), "=f"(tmp[15]),
          "=f"(tmp[16]), "=f"(tmp[17]), "=f"(tmp[18]), "=f"(tmp[19]),
          "=f"(tmp[20]), "=f"(tmp[21]), "=f"(tmp[22]), "=f"(tmp[23]),
          "=f"(tmp[24]), "=f"(tmp[25]), "=f"(tmp[26]), "=f"(tmp[27]),
          "=f"(tmp[28]), "=f"(tmp[29]), "=f"(tmp[30]), "=f"(tmp[31])
        : "r"(addr)
    );
}

__device__ __forceinline__
void tcgen05_ld_32x32bx64_addr(float *tmp, int addr) {
    asm volatile(
        "tcgen05.ld.sync.aligned.32x32b.x64.b32 "
        "{ %0,  %1,  %2,  %3,  %4,  %5,  %6,  %7, "
        "  %8,  %9, %10, %11, %12, %13, %14, %15, "
        " %16, %17, %18, %19, %20, %21, %22, %23, "
        " %24, %25, %26, %27, %28, %29, %30, %31, "
        " %32, %33, %34, %35, %36, %37, %38, %39, "
        " %40, %41, %42, %43, %44, %45, %46, %47, "
        " %48, %49, %50, %51, %52, %53, %54, %55, "
        " %56, %57, %58, %59, %60, %61, %62, %63}, [%64];"
        : "=f"(tmp[0]),  "=f"(tmp[1]),  "=f"(tmp[2]),  "=f"(tmp[3]),
          "=f"(tmp[4]),  "=f"(tmp[5]),  "=f"(tmp[6]),  "=f"(tmp[7]),
          "=f"(tmp[8]),  "=f"(tmp[9]),  "=f"(tmp[10]), "=f"(tmp[11]),
          "=f"(tmp[12]), "=f"(tmp[13]), "=f"(tmp[14]), "=f"(tmp[15]),
          "=f"(tmp[16]), "=f"(tmp[17]), "=f"(tmp[18]), "=f"(tmp[19]),
          "=f"(tmp[20]), "=f"(tmp[21]), "=f"(tmp[22]), "=f"(tmp[23]),
          "=f"(tmp[24]), "=f"(tmp[25]), "=f"(tmp[26]), "=f"(tmp[27]),
          "=f"(tmp[28]), "=f"(tmp[29]), "=f"(tmp[30]), "=f"(tmp[31]),
          "=f"(tmp[32]), "=f"(tmp[33]), "=f"(tmp[34]), "=f"(tmp[35]),
          "=f"(tmp[36]), "=f"(tmp[37]), "=f"(tmp[38]), "=f"(tmp[39]),
          "=f"(tmp[40]), "=f"(tmp[41]), "=f"(tmp[42]), "=f"(tmp[43]),
          "=f"(tmp[44]), "=f"(tmp[45]), "=f"(tmp[46]), "=f"(tmp[47]),
          "=f"(tmp[48]), "=f"(tmp[49]), "=f"(tmp[50]), "=f"(tmp[51]),
          "=f"(tmp[52]), "=f"(tmp[53]), "=f"(tmp[54]), "=f"(tmp[55]),
          "=f"(tmp[56]), "=f"(tmp[57]), "=f"(tmp[58]), "=f"(tmp[59]),
          "=f"(tmp[60]), "=f"(tmp[61]), "=f"(tmp[62]), "=f"(tmp[63])
        : "r"(addr)
    );
}

// ============================================================================
// TensorMap Creation
// ============================================================================

void check_cu(CUresult err) {
    if (err == CUDA_SUCCESS) return;
    const char *error_msg_ptr;
    if (cuGetErrorString(err, &error_msg_ptr) != CUDA_SUCCESS)
        error_msg_ptr = "unable to get error string";
    TORCH_CHECK(false, "cuTensorMapEncodeTiled error: ", error_msg_ptr);
}

void init_AB_tmap(
    CUtensorMap *tmap,
    const char *ptr,
    uint64_t global_height,
    uint64_t global_width,
    uint32_t shared_height,
    uint32_t shared_width
) {
    constexpr uint32_t rank = 3;
    uint64_t globalDim[rank]       = {256, global_height, global_width / 256};
    uint64_t globalStrides[rank-1] = {global_width / 2, 128};
    uint32_t boxDim[rank]          = {256, shared_height, shared_width / 256};
    uint32_t elementStrides[rank]  = {1, 1, 1};

    auto err = cuTensorMapEncodeTiled(
        tmap,
        CUtensorMapDataType::CU_TENSOR_MAP_DATA_TYPE_16U4_ALIGN8B,
        rank,
        (void *)ptr,
        globalDim,
        globalStrides,
        boxDim,
        elementStrides,
        CUtensorMapInterleave::CU_TENSOR_MAP_INTERLEAVE_NONE,
        CUtensorMapSwizzle::CU_TENSOR_MAP_SWIZZLE_128B,
        CUtensorMapL2promotion::CU_TENSOR_MAP_L2_PROMOTION_NONE,
        CUtensorMapFloatOOBfill::CU_TENSOR_MAP_FLOAT_OOB_FILL_NONE
    );
    check_cu(err);
}

// Scale-factor TensorMap (UINT16 view) for the permuted SF layout.
// We view SF as a tiled 3D tensor: (512 bytes, mn/128 blocks, K/64 blocks).
// This matches the existing pointer arithmetic:
//   block_index = (mn_block * (K/64) + k_block) * 512
// and lets us use tensor TMA (supports cta_group::2) instead of bulk TMA (does not).
void init_SF_tmap(
    CUtensorMap *tmap,
    const char *ptr,
    uint64_t mn,
    uint64_t K,
    uint32_t block_k  // == BLOCK_K
) {
    constexpr uint32_t rank = 3;
    const uint64_t k_blocks = K / 64;     // 64-element SF granularity
    const uint64_t mn_blocks = mn / 128;  // 128-row/col SF granularity
    const uint32_t tile_k_blocks = block_k / 64;

    // TensorMap has limits on the X dimension; represent a 512B SF block as 256xUINT16.
    constexpr uint64_t SF_BLOCK_BYTES = 512;
    constexpr uint64_t X_ELEMS = SF_BLOCK_BYTES / sizeof(uint16_t);  // 256
    uint64_t globalDim[rank]       = {X_ELEMS, mn_blocks, k_blocks};
    uint64_t globalStrides[rank-1] = {k_blocks * SF_BLOCK_BYTES, SF_BLOCK_BYTES};  // bytes
    uint32_t boxDim[rank]          = {(uint32_t)X_ELEMS, 1, tile_k_blocks};
    uint32_t elementStrides[rank]  = {1, 1, 1};

    auto err = cuTensorMapEncodeTiled(
        tmap,
        CUtensorMapDataType::CU_TENSOR_MAP_DATA_TYPE_UINT16,
        rank,
        (void *)ptr,
        globalDim,
        globalStrides,
        boxDim,
        elementStrides,
        CUtensorMapInterleave::CU_TENSOR_MAP_INTERLEAVE_NONE,
        CUtensorMapSwizzle::CU_TENSOR_MAP_SWIZZLE_NONE,
        CUtensorMapL2promotion::CU_TENSOR_MAP_L2_PROMOTION_NONE,
        CUtensorMapFloatOOBfill::CU_TENSOR_MAP_FLOAT_OOB_FILL_NONE
    );
    check_cu(err);
}

// ============================================================================
// 2-SM MMA Dual GEMM Kernel - Following reference pattern
// ============================================================================

template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
__global__
__cluster_dims__(2, 1, 1)
__launch_bounds__(BLOCK_M + 3 * WARP_SIZE)
void dual_gemm_cta2_persistent_kernel(
    const __grid_constant__ CUtensorMap A_tmap,
    const __grid_constant__ CUtensorMap B1_tmap,
    const __grid_constant__ CUtensorMap B2_tmap,
    const __grid_constant__ CUtensorMap SFA_tmap,
    const __grid_constant__ CUtensorMap SFB1_tmap,
    const __grid_constant__ CUtensorMap SFB2_tmap,
    half *C_ptr,
    int M, int N
) {
    constexpr int CTA_GROUP = 2;
    constexpr int HALF_BLOCK_N = BLOCK_N / CTA_GROUP;
    // v6: Add dedicated SF warp (warp 5), so +3 instead of +2
    constexpr int NUM_WARPS = BLOCK_M / WARP_SIZE + 3;  // 4 epilogue + 1 SF + 1 TMA + 1 MMA = 7
    
    const int tid = threadIdx.x;
    const int bid = blockIdx.x;
    const int warp_id = tid / WARP_SIZE;
    
    int cta_rank;
    asm volatile("mov.b32 %0, %%cluster_ctarank;" : "=r"(cta_rank));
    
    // Persistent cluster id (CTA-pair id) and scheduling stride (in clusters).
    const int cluster_pid = bid / CTA_GROUP;
    const int num_clusters = gridDim.x / CTA_GROUP;

    // Logical output tile grid in cluster-tiles: (M/256) x (N/BLOCK_N)
    const int grid_m_clusters = M / (BLOCK_M * 2);
    const int grid_n_clusters = N / BLOCK_N;
    const int num_tiles = grid_m_clusters * grid_n_clusters;

    extern __shared__ __align__(1024) char smem_ptr[];
    const int smem = static_cast<int>(__cvta_generic_to_shared(smem_ptr));
    
    // SMEM layout (must be identical across CTAs!)
    // In 2-SM MMA, the B operand is split across CTAs (each CTA holds HALF_BLOCK_N columns).
    constexpr int A_size    = BLOCK_M * BLOCK_K / 2;
    constexpr int B1_size   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int B2_size   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int SFA_size  = 128 * BLOCK_K / 16;
    constexpr int SFB1_size = 128 * BLOCK_K / 16;
    constexpr int SFB2_size = 128 * BLOCK_K / 16;
    constexpr int STAGE_SIZE = A_size + B1_size + B2_size + SFA_size + SFB1_size + SFB2_size;

    // Mbarrier layout:
    // - tma_mbar[NUM_STAGES]: count=CTA_GROUP*2
    //   - tensor warp issues expect_tx for tensor bytes (1 arrival per CTA)
    //   - sf warp issues expect_tx for SF bytes (1 arrival per CTA)
    //   Both report into CTA0's mbar (masked address), using .shared::cluster.
    // - mma_mbar[NUM_STAGES]: count=1, CTA0 multicasts to both CTAs (stage reuse)
    // - mainloop_mbar[2]: count=1, CTA0 multicasts to both CTAs (signals accumulator stage ready)
    // - epilogue_mbar[2]: count=4*CTA_GROUP, epilogue warps report to CTA0 (signals accumulator stage free)
    #pragma nv_diag_suppress static_var_with_dynamic_init
    __shared__ uint64_t mbars[NUM_STAGES * 2 + 4];
    __shared__ int tmem_addr[1];
    const int tma_mbar_addr = static_cast<int>(__cvta_generic_to_shared(mbars));
    const int mma_mbar_addr = tma_mbar_addr + NUM_STAGES * 8;
    const int mainloop_mbar_addr = mma_mbar_addr + NUM_STAGES * 8;
    const int epilogue_mbar_addr = mainloop_mbar_addr + 2 * 8;

    // TMEM layout for cta_group::2 (persistent + 2-stage accumulator ping-pong).
    // Stage 0: [ACC1_0 (BLOCK_N)][ACC2_0 (BLOCK_N)]
    // Stage 1: [ACC1_1 (BLOCK_N)][ACC2_1 (BLOCK_N)]
    constexpr int ACC_STRIDE = 2 * BLOCK_N;        // cols per stage (ACC1+ACC2)
    constexpr int ACC_BASE   = 0;
    constexpr int ACC1_OFF   = 0;
    constexpr int ACC2_OFF   = BLOCK_N;
    constexpr int SFA_COLS_PER_K = 8;  // 256 rows / 32
    constexpr int SFB_COLS_PER_K = 4;  // 128 cols / 32
    // Place scale factors after the double-buffered accumulators.
    constexpr int SFA_tmem  = ACC_BASE + 2 * ACC_STRIDE;  // 4*BLOCK_N
    constexpr int SFB1_tmem = SFA_tmem + SFA_COLS_PER_K * (BLOCK_K / MMA_K);
    constexpr int SFB2_tmem = SFB1_tmem + SFB_COLS_PER_K * (BLOCK_K / MMA_K);
    // Persistent + accumulator double-buffering requires more TMEM columns.
    // For BLOCK_N=64, 512 columns fits: 4*BLOCK_N (acc) + SF (<=64) <= 512.
    static_assert(BLOCK_N == 64, "Persistent kernel variant is intended for BLOCK_N=64 only.");
    constexpr int TOTAL_TMEM_COLS = 512;

    // ========================================================================
    // Initialization - following reference exactly
    // ========================================================================
    if (warp_id == 0 && elect_sync()) {
        for (int i = 0; i < NUM_STAGES; i++) {
            // 4 arrivals = 2 (tensor expect_tx) + 2 (SF expect_tx)
            mbarrier_init(tma_mbar_addr + i * 8, CTA_GROUP * 2);
            mbarrier_init(mma_mbar_addr + i * 8, 1);                // CTA0 multicasts to both
        }
        for (int i = 0; i < 2; i++) {
            mbarrier_init(mainloop_mbar_addr + i * 8, 1);              // CTA0 multicasts to both
            mbarrier_init(epilogue_mbar_addr + i * 8, 4 * CTA_GROUP);  // 4 epilogue warps x both CTAs report to CTA0
        }
        asm volatile("fence.mbarrier_init.release.cluster;");
    }
    else if (warp_id == 1) {
        const int addr = static_cast<int>(__cvta_generic_to_shared(tmem_addr));
        asm volatile("tcgen05.alloc.cta_group::2.sync.aligned.shared::cta.b32 [%0], %1;"
                    :: "r"(addr), "r"(TOTAL_TMEM_COLS));
    }
    
    // Cluster barrier - visible to all threads in cluster
    asm volatile("barrier.cluster.arrive.release.aligned;");
    asm volatile("barrier.cluster.wait.acquire.aligned;");
    
    const int taddr = tmem_addr[0];

    // Instruction descriptor for MMA_M=256, MMA_N=BLOCK_N
    constexpr uint32_t i_desc = (1U << 7U) | (1U << 10U) | ((uint32_t)BLOCK_N >> 3U << 17U) | (2U << 27U);
    constexpr int SBO_AB = 8 * 128;
    constexpr int SBO_SF = 8 * 16;
    constexpr uint64_t AB_desc_base = (desc_encode(SBO_AB) << 32ULL) | (1ULL << 46ULL) | (2ULL << 61ULL);
    constexpr uint64_t SF_desc_base = (desc_encode(SBO_SF) << 32ULL) | (1ULL << 46ULL);

    constexpr int num_iters = K / BLOCK_K;

    // L2 cache hints (winner pattern):
    // If M > N, keep B (evict A first); else keep A (evict B first).
    const uint64_t cache_A = (M > N) ? EVICT_FIRST : EVICT_LAST;
    const uint64_t cache_B = (M > N) ? EVICT_LAST  : EVICT_FIRST;
    
    // ========================================================================
    // SF Warp (warp 4) - Issues SF TMA loads (persistent over tiles)
    // ========================================================================
    if (warp_id == NUM_WARPS - 3 && elect_sync()) {
        int tma_stage = 0;
        int mma_phase = 1;
        int it = 0;  // global iteration across tiles for initial pipeline fill

        for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
            const int cluster_m = tile / grid_n_clusters;
            const int cluster_n = tile % grid_n_clusters;
            const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
            const int off_n = cluster_n * BLOCK_N;

            for (int iter_k = 0; iter_k < num_iters; iter_k++, it++) {
                // Wait for MMA to release this buffer (skip for initial pipeline fill)
                if (it >= NUM_STAGES)
                    mbarrier_wait(mma_mbar_addr + tma_stage * 8, mma_phase);

                const int mbar_addr = (tma_mbar_addr + tma_stage * 8) & 0xFEFFFFFF;
                const int off_k = iter_k * BLOCK_K;
                
                // SMEM addresses for SF
                const int base_smem = smem + tma_stage * STAGE_SIZE;
                const int SFA_smem = base_smem + A_size + B1_size + B2_size;
                const int SFB1_smem = SFA_smem + SFA_size;
                const int SFB2_smem = SFB1_smem + SFB1_size;
                
                // Scale-factor tensor TMA: report directly into CTA0's stage mbarrier.
                // Optimization: SFB1/SFB2 are identical across CTAs for a given (off_n/128, off_k/64),
                // so CTA0 multicasts SFB to both CTAs.
                // NOTE: multicast complete_tx byte count scales with popcount(ctaMask) (2x here).
                const int SF_TMA_SIZE = SFA_size + ((cta_rank == 0) ? (CTA_GROUP * (SFB1_size + SFB2_size)) : 0);
                asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
                            :: "r"(mbar_addr), "r"(SF_TMA_SIZE) : "memory");
                
                const int sf_y_A = off_m / 128;
                const int sf_y_B = off_n / 128;
                const int sf_z   = off_k / 64;

                tma_3d_gmem2smem<CTA_GROUP>(SFA_smem,  &SFA_tmap,  0, sf_y_A, sf_z, mbar_addr, cache_A);
                if (cta_rank == 0) {
                    constexpr uint16_t cta_mask = (1u << CTA_GROUP) - 1u;  // 0b11
                    tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB1_smem, &SFB1_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
                    tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB2_smem, &SFB2_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
                }

                tma_stage = (tma_stage + 1) % NUM_STAGES;
                if (tma_stage == 0) mma_phase ^= 1;
            }
        }
    }
    // ========================================================================
    // TMA Warp (warp 5) - Issues TENSOR TMA loads (persistent over tiles)
    // ========================================================================
    else if (warp_id == NUM_WARPS - 2 && elect_sync()) {
        int tma_stage = 0;
        int mma_phase = 1;
        int it = 0;

        for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
            const int cluster_m = tile / grid_n_clusters;
            const int cluster_n = tile % grid_n_clusters;
            const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
            const int off_n = cluster_n * BLOCK_N;

            for (int iter_k = 0; iter_k < num_iters; iter_k++, it++) {
                // Wait for MMA to release this buffer (skip for initial pipeline fill)
                if (it >= NUM_STAGES)
                    mbarrier_wait(mma_mbar_addr + tma_stage * 8, mma_phase);

                const int mbar_addr = (tma_mbar_addr + tma_stage * 8) & 0xFEFFFFFF;
                const int off_k = iter_k * BLOCK_K;
                
                // SMEM addresses
                const int A_smem   = smem + tma_stage * STAGE_SIZE;
                const int B1_smem  = A_smem + A_size;
                const int B2_smem  = B1_smem + B1_size;

                // Arrive.expect_tx for this CTA's tensor TMAs, then issue loads.
                constexpr int TENSOR_TMA_SIZE = A_size + B1_size + B2_size;
                asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
                            :: "r"(mbar_addr), "r"(TENSOR_TMA_SIZE) : "memory");

                // Issue tensor TMA loads (A is split along M by cta_rank; B1/B2 split along N).
                tma_3d_gmem2smem<CTA_GROUP>(A_smem, &A_tmap, 0, off_m, off_k / 256, mbar_addr, cache_A);
                const int B_col_offset = off_n + cta_rank * HALF_BLOCK_N;
                tma_3d_gmem2smem<CTA_GROUP>(B1_smem, &B1_tmap, 0, B_col_offset, off_k / 256, mbar_addr, cache_B);
                tma_3d_gmem2smem<CTA_GROUP>(B2_smem, &B2_tmap, 0, B_col_offset, off_k / 256, mbar_addr, cache_B);

                tma_stage = (tma_stage + 1) % NUM_STAGES;
                if (tma_stage == 0) mma_phase ^= 1;
            }
        }
    }
    // ========================================================================
    // MMA Warp (warp 6, CTA0 ONLY) - Persistent over tiles, double-buffer accumulators
    // ========================================================================
    else if (cta_rank == 0 && warp_id == NUM_WARPS - 1 && elect_sync()) {
        int tma_stage = 0;
        int tma_phase = 0;
        int mainloop_stage = 0;
        int epilogue_phase = 1;  // initial stage 0 is available

        for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
            // Wait for epilogue to finish with this accumulator stage
            mbarrier_wait(epilogue_mbar_addr + mainloop_stage * 8, epilogue_phase);

            const int cluster_n = tile % grid_n_clusters;
            const int scale_B_base_off = (cluster_n % (128 / BLOCK_N)) * (BLOCK_N / 32);

            const int acc_stage_base = ACC_BASE + mainloop_stage * ACC_STRIDE;

            for (int iter_k = 0; iter_k < num_iters; iter_k++) {
                // Wait for ALL TMAs for this stage (count=4: 2 tensor expect_tx + 2 SF arrive)
                mbarrier_wait(tma_mbar_addr + tma_stage * 8, tma_phase);
                
                asm volatile("tcgen05.fence::after_thread_sync;");

                // SMEM addresses
                const int base_smem = smem + tma_stage * STAGE_SIZE;
                const int A_smem   = base_smem;
                const int B1_smem  = base_smem + A_size;
                const int B2_smem  = base_smem + A_size + B1_size;
                const int SFA_smem = base_smem + A_size + B1_size + B2_size;
                const int SFB1_smem = SFA_smem + SFA_size;
                const int SFB2_smem = SFB1_smem + SFB1_size;

                // tcgen05.cp - reads from BOTH CTAs' SMEM, writes to TMEM
                const uint64_t SFA_desc  = SF_desc_base + ((uint64_t)SFA_smem >> 4ULL);
                const uint64_t SFB1_desc = SF_desc_base + ((uint64_t)SFB1_smem >> 4ULL);
                const uint64_t SFB2_desc = SF_desc_base + ((uint64_t)SFB2_smem >> 4ULL);
                
                #pragma unroll
                for (int k = 0; k < BLOCK_K / MMA_K; k++) {
                    tcgen05_cp_cta2(SFA_tmem + k * SFA_COLS_PER_K,  SFA_desc  + (uint64_t)k * 32ULL);
                    tcgen05_cp_cta2(SFB1_tmem + k * SFB_COLS_PER_K, SFB1_desc + (uint64_t)k * 32ULL);
                    tcgen05_cp_cta2(SFB2_tmem + k * SFB_COLS_PER_K, SFB2_desc + (uint64_t)k * 32ULL);
                }
                
                // Fence to ensure tcgen05.cp completes before tcgen05.mma
                asm volatile("tcgen05.fence::before_thread_sync;");

                // MMA into the selected accumulator stage
                #pragma unroll
                for (int k1 = 0; k1 < BLOCK_K / 256; k1++) {
                    #pragma unroll
                    for (int k2 = 0; k2 < 256 / MMA_K; k2++) {
                        const int a_off = k1 * BLOCK_M * 128 + k2 * 32;
                        const int b_off = k1 * HALF_BLOCK_N * 128 + k2 * 32;
                        
                        uint64_t a_desc  = AB_desc_base + desc_encode(A_smem + a_off);
                        uint64_t b1_desc = AB_desc_base + desc_encode(B1_smem + b_off);
                        uint64_t b2_desc = AB_desc_base + desc_encode(B2_smem + b_off);

                        const int k_sf = k1 * 4 + k2;
                        const int scale_A  = SFA_tmem + k_sf * SFA_COLS_PER_K;
                        const int scale_B1 = SFB1_tmem + k_sf * SFB_COLS_PER_K + scale_B_base_off;
                        const int scale_B2 = SFB2_tmem + k_sf * SFB_COLS_PER_K + scale_B_base_off;

                        const int enable_d = (k1 == 0 && k2 == 0) ? iter_k : 1;
                        tcgen05_mma_cta2(acc_stage_base + ACC1_OFF, a_desc, b1_desc, i_desc, scale_A, scale_B1, enable_d);
                        tcgen05_mma_cta2(acc_stage_base + ACC2_OFF, a_desc, b2_desc, i_desc, scale_A, scale_B2, enable_d);
                    }
                }

                // Commit MMA stage reuse - multicast to BOTH CTAs
                constexpr int16_t cta_mask = (1 << CTA_GROUP) - 1;  // 0b11
                asm volatile("tcgen05.commit.cta_group::2.mbarrier::arrive::one.shared::cluster.multicast::cluster.b64 [%0], %1;"
                            :: "r"(mma_mbar_addr + tma_stage * 8), "h"(cta_mask) : "memory");

                // Flip phase when cycled through all stages
                tma_stage = (tma_stage + 1) % NUM_STAGES;
                if (tma_stage == 0) tma_phase ^= 1;
            }

            // Signal mainloop completion for this accumulator stage - multicast to BOTH CTAs
            constexpr int16_t cta_mask = (1 << CTA_GROUP) - 1;
            asm volatile("tcgen05.commit.cta_group::2.mbarrier::arrive::one.shared::cluster.multicast::cluster.b64 [%0], %1;"
                        :: "r"(mainloop_mbar_addr + mainloop_stage * 8), "h"(cta_mask) : "memory");

            // Advance accumulator stage
            mainloop_stage = (mainloop_stage + 1) % 2;
            if (mainloop_stage == 0) epilogue_phase ^= 1;
        }
    }

    // ========================================================================
    // Epilogue warps (warps 0..3) - Persistent over tiles, double-buffered acc stages
    // ========================================================================
    else if (warp_id < 4) {
        int mainloop_stage = 0;
        int mainloop_phase = 0;

        for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
            // Wait for accumulator stage to be ready
            mbarrier_wait(mainloop_mbar_addr + mainloop_stage * 8, mainloop_phase);
            asm volatile("tcgen05.fence::after_thread_sync;");

            const int cluster_m = tile / grid_n_clusters;
            const int cluster_n = tile % grid_n_clusters;
            const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
            const int off_n = cluster_n * BLOCK_N;

            const int acc_stage_base = ACC_BASE + mainloop_stage * ACC_STRIDE;

            if (tid < BLOCK_M) {
                // BLOCK_N=64 for this persistent kernel
                constexpr int WIDTH = 64;
                const int tmem_row = cta_rank * 128 + warp_id * 32;
                
                float acc1[WIDTH], acc2[WIDTH];
                const int addr1 = taddr + (tmem_row << 16) + (acc_stage_base + ACC1_OFF);
                const int addr2 = taddr + (tmem_row << 16) + (acc_stage_base + ACC2_OFF);
                tcgen05_ld_32x32bx64_addr(acc1, addr1);
                tcgen05_ld_32x32bx64_addr(acc2, addr2);
                asm volatile("tcgen05.wait::ld.sync.aligned;");

                half* row_ptr = C_ptr + (off_m + tid) * N + off_n;

                #pragma unroll
                for (int i = 0; i < WIDTH; i += 16) {
                    half2 h0 = silu_mul_h2(acc1[i+0],  acc1[i+1],  acc2[i+0],  acc2[i+1]);
                    half2 h1 = silu_mul_h2(acc1[i+2],  acc1[i+3],  acc2[i+2],  acc2[i+3]);
                    half2 h2 = silu_mul_h2(acc1[i+4],  acc1[i+5],  acc2[i+4],  acc2[i+5]);
                    half2 h3 = silu_mul_h2(acc1[i+6],  acc1[i+7],  acc2[i+6],  acc2[i+7]);
                    half2 h4 = silu_mul_h2(acc1[i+8],  acc1[i+9],  acc2[i+8],  acc2[i+9]);
                    half2 h5 = silu_mul_h2(acc1[i+10], acc1[i+11], acc2[i+10], acc2[i+11]);
                    half2 h6 = silu_mul_h2(acc1[i+12], acc1[i+13], acc2[i+12], acc2[i+13]);
                    half2 h7 = silu_mul_h2(acc1[i+14], acc1[i+15], acc2[i+14], acc2[i+15]);

                    const uint32_t u0 = *reinterpret_cast<uint32_t*>(&h0);
                    const uint32_t u1 = *reinterpret_cast<uint32_t*>(&h1);
                    const uint32_t u2 = *reinterpret_cast<uint32_t*>(&h2);
                    const uint32_t u3 = *reinterpret_cast<uint32_t*>(&h3);
                    const uint32_t u4 = *reinterpret_cast<uint32_t*>(&h4);
                    const uint32_t u5 = *reinterpret_cast<uint32_t*>(&h5);
                    const uint32_t u6 = *reinterpret_cast<uint32_t*>(&h6);
                    const uint32_t u7 = *reinterpret_cast<uint32_t*>(&h7);

                    const unsigned long long q0 = (unsigned long long)u0 | ((unsigned long long)u1 << 32);
                    const unsigned long long q1 = (unsigned long long)u2 | ((unsigned long long)u3 << 32);
                    const unsigned long long q2 = (unsigned long long)u4 | ((unsigned long long)u5 << 32);
                    const unsigned long long q3 = (unsigned long long)u6 | ((unsigned long long)u7 << 32);

                    stg_32b((const void*)(row_ptr + i), q0, q1, q2, q3);
                }
            }

            // Signal epilogue completion for this stage to CTA0
            if (elect_sync()) {
                const int mbar_addr = (epilogue_mbar_addr + mainloop_stage * 8) & 0xFEFFFFFF;
                asm volatile("mbarrier.arrive.release.cta.shared::cluster.b64 _, [%0];"
                             :: "r"(mbar_addr) : "memory");
            }

            // Advance stage
            mainloop_stage = (mainloop_stage + 1) % 2;
            if (mainloop_stage == 0) mainloop_phase ^= 1;
        }
    }

    // Cluster barrier before deallocation (following reference)
    asm volatile("barrier.cluster.arrive.release.aligned;");
    asm volatile("barrier.cluster.wait.acquire.aligned;");
    
    if (warp_id == 0) {
        asm volatile("tcgen05.dealloc.cta_group::2.sync.aligned.b32 %0, %1;" 
                    :: "r"(taddr), "r"(TOTAL_TMEM_COLS));
    }
}

// ============================================================================
// Non-persistent v6 kernel (baseline) - kept inline for single-file submission
// ============================================================================

template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
__global__
__cluster_dims__(2, 1, 1)
__launch_bounds__(BLOCK_M + 3 * WARP_SIZE)
void dual_gemm_cta2_v6_kernel(
    const __grid_constant__ CUtensorMap A_tmap,
    const __grid_constant__ CUtensorMap B1_tmap,
    const __grid_constant__ CUtensorMap B2_tmap,
    const __grid_constant__ CUtensorMap SFA_tmap,
    const __grid_constant__ CUtensorMap SFB1_tmap,
    const __grid_constant__ CUtensorMap SFB2_tmap,
    half *C_ptr,
    int M, int N
) {
    constexpr int CTA_GROUP = 2;
    constexpr int HALF_BLOCK_N = BLOCK_N / CTA_GROUP;
    // v6: Add dedicated SF warp (warp 5), so +3 instead of +2
    constexpr int NUM_WARPS = BLOCK_M / WARP_SIZE + 3;  // 4 epilogue + 1 SF + 1 TMA + 1 MMA = 7
    
    const int tid = threadIdx.x;
    const int bid = blockIdx.x;
    const int warp_id = tid / WARP_SIZE;
    
    int cta_rank;
    asm volatile("mov.b32 %0, %%cluster_ctarank;" : "=r"(cta_rank));
    
    // Grid indexing - M-mode first for cta_group::2
    const int cluster_idx = bid / CTA_GROUP;
    const int grid_n_clusters = N / BLOCK_N;
    const int cluster_m = cluster_idx / grid_n_clusters;
    const int cluster_n = cluster_idx % grid_n_clusters;
    const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
    const int off_n = cluster_n * BLOCK_N;

    extern __shared__ __align__(1024) char smem_ptr[];
    const int smem = static_cast<int>(__cvta_generic_to_shared(smem_ptr));
    
    // SMEM layout (must be identical across CTAs!)
    // In 2-SM MMA, the B operand is split across CTAs (each CTA holds HALF_BLOCK_N columns).
    constexpr int A_size    = BLOCK_M * BLOCK_K / 2;
    constexpr int B1_size   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int B2_size   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int SFA_size  = 128 * BLOCK_K / 16;
    constexpr int SFB1_size = 128 * BLOCK_K / 16;
    constexpr int SFB2_size = 128 * BLOCK_K / 16;
    constexpr int STAGE_SIZE = A_size + B1_size + B2_size + SFA_size + SFB1_size + SFB2_size;

    // Mbarrier layout:
    // - tma_mbar: count=CTA_GROUP*2
    //   - tensor warp issues expect_tx for tensor bytes (1 arrival per CTA)
    //   - sf warp issues expect_tx for SF bytes (1 arrival per CTA)
    //   Both report into CTA0's mbar (masked address), using .shared::cluster.
    // - mma_mbar: count=1, CTA0 multicasts to both CTAs (stage reuse)
    // - mainloop_mbar: count=1, CTA0 multicasts to both CTAs (epilogue start)
    #pragma nv_diag_suppress static_var_with_dynamic_init
    __shared__ uint64_t mbars[NUM_STAGES * 2 + 1];
    __shared__ int tmem_addr[1];
    const int tma_mbar_addr = static_cast<int>(__cvta_generic_to_shared(mbars));
    const int mma_mbar_addr = tma_mbar_addr + NUM_STAGES * 8;
    const int mainloop_mbar_addr = mma_mbar_addr + NUM_STAGES * 8;

    // TMEM layout for cta_group::2
    constexpr int ACC1_tmem = 0;
    constexpr int ACC2_tmem = BLOCK_N;
    constexpr int SFA_COLS_PER_K = 8;  // 256 rows / 32
    constexpr int SFB_COLS_PER_K = 4;  // 128 cols / 32
    constexpr int SFA_tmem  = 2 * BLOCK_N;
    constexpr int SFB1_tmem = SFA_tmem + SFA_COLS_PER_K * (BLOCK_K / MMA_K);
    constexpr int SFB2_tmem = SFB1_tmem + SFB_COLS_PER_K * (BLOCK_K / MMA_K);
    // TMEM allocation must be a power-of-2 column count.
    // - For BLOCK_N=128 we need 512 cols (ACC1+ACC2 already consumes 256, plus scale factors).
    // - For BLOCK_N=64, 256 cols is sufficient and can reduce TMEM pressure.
    constexpr int TOTAL_TMEM_COLS = (BLOCK_N <= 64) ? 256 : 512;

    // ========================================================================
    // Initialization - following reference exactly
    // ========================================================================
    if (warp_id == 0 && elect_sync()) {
        for (int i = 0; i < NUM_STAGES; i++) {
            // 4 arrivals = 2 (tensor expect_tx) + 2 (SF expect_tx)
            mbarrier_init(tma_mbar_addr + i * 8, CTA_GROUP * 2);
            mbarrier_init(mma_mbar_addr + i * 8, 1);                // CTA0 multicasts to both
        }
        mbarrier_init(mainloop_mbar_addr, 1);  // CTA0 multicasts to both
        asm volatile("fence.mbarrier_init.release.cluster;");
    }
    else if (warp_id == 1) {
        const int addr = static_cast<int>(__cvta_generic_to_shared(tmem_addr));
        asm volatile("tcgen05.alloc.cta_group::2.sync.aligned.shared::cta.b32 [%0], %1;"
                    :: "r"(addr), "r"(TOTAL_TMEM_COLS));
    }
    
    // Cluster barrier - visible to all threads in cluster
    asm volatile("barrier.cluster.arrive.release.aligned;");
    asm volatile("barrier.cluster.wait.acquire.aligned;");
    
    const int taddr = tmem_addr[0];

    // Instruction descriptor for MMA_M=256, MMA_N=BLOCK_N
    constexpr uint32_t i_desc = (1U << 7U) | (1U << 10U) | ((uint32_t)BLOCK_N >> 3U << 17U) | (2U << 27U);
    constexpr int SBO_AB = 8 * 128;
    constexpr int SBO_SF = 8 * 16;
    constexpr uint64_t AB_desc_base = (desc_encode(SBO_AB) << 32ULL) | (1ULL << 46ULL) | (2ULL << 61ULL);
    constexpr uint64_t SF_desc_base = (desc_encode(SBO_SF) << 32ULL) | (1ULL << 46ULL);

    const int scale_B_base_off = (cluster_n % (128 / BLOCK_N)) * (BLOCK_N / 32);
    constexpr int num_iters = K / BLOCK_K;

    // L2 cache hints (winner pattern):
    // If M > N, keep B (evict A first); else keep A (evict B first).
    const uint64_t cache_A = (M > N) ? EVICT_FIRST : EVICT_LAST;
    const uint64_t cache_B = (M > N) ? EVICT_LAST  : EVICT_FIRST;
    
    // ========================================================================
    // SF Warp (warp 4) - Issues SF TMA loads in parallel with tensor TMA
    // ========================================================================
    if (warp_id == NUM_WARPS - 3 && elect_sync()) {
        int tma_stage = 0;
        int mma_phase = 1;

        for (int iter_k = 0; iter_k < num_iters; iter_k++) {
            // Wait for MMA to release this buffer (skip for initial pipeline fill)
            if (iter_k >= NUM_STAGES)
                mbarrier_wait(mma_mbar_addr + tma_stage * 8, mma_phase);

            const int mbar_addr = (tma_mbar_addr + tma_stage * 8) & 0xFEFFFFFF;
            const int off_k = iter_k * BLOCK_K;
            
            // SMEM addresses for SF
            const int base_smem = smem + tma_stage * STAGE_SIZE;
            const int SFA_smem = base_smem + A_size + B1_size + B2_size;
            const int SFB1_smem = SFA_smem + SFA_size;
            const int SFB2_smem = SFB1_smem + SFB1_size;
            
            // Scale-factor tensor TMA: report directly into CTA0's stage mbarrier.
            // Optimization (borrowed from winner-style kernels):
            // SFB1/SFB2 are 128-column granular in the permuted SF layout and are identical across CTAs
            // within the 2-CTA cluster for a given (off_n/128, off_k/64). So we only issue SFB loads
            // once (CTA0) and multicast them to both CTAs. CTA1 only loads its unique SFA.
            // NOTE: For cp.async.bulk.tensor ... .multicast::cluster, the complete_tx byte count is
            // the total bytes copied into shared memory across all destinations, i.e. scaled by
            // popcount(ctaMask). For our 2-CTA cluster (ctaMask=0b11), that's 2x.
            const int SF_TMA_SIZE = SFA_size + ((cta_rank == 0) ? (CTA_GROUP * (SFB1_size + SFB2_size)) : 0);
            asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
                        :: "r"(mbar_addr), "r"(SF_TMA_SIZE) : "memory");
            
            // Scale factors via tensor TMA (supports remote mbarrier through cta_group::2).
            const int sf_y_A = off_m / 128;
            const int sf_y_B = off_n / 128;
            const int sf_z   = off_k / 64;

            tma_3d_gmem2smem<CTA_GROUP>(SFA_smem,  &SFA_tmap,  0, sf_y_A, sf_z, mbar_addr, cache_A);
            if (cta_rank == 0) {
                constexpr uint16_t cta_mask = (1u << CTA_GROUP) - 1u;  // 0b11
                tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB1_smem, &SFB1_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
                tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB2_smem, &SFB2_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
            }

            tma_stage = (tma_stage + 1) % NUM_STAGES;
            if (tma_stage == 0) mma_phase ^= 1;
        }
    }
    // ========================================================================
    // TMA Warp (warp 5) - Issues TENSOR TMA loads only (parallel with SF warp)
    // ========================================================================
    else if (warp_id == NUM_WARPS - 2 && elect_sync()) {
        int tma_stage = 0;
        int mma_phase = 1;

        for (int iter_k = 0; iter_k < num_iters; iter_k++) {
            // Wait for MMA to release this buffer (skip for initial pipeline fill)
            if (iter_k >= NUM_STAGES)
                mbarrier_wait(mma_mbar_addr + tma_stage * 8, mma_phase);

            const int mbar_addr = (tma_mbar_addr + tma_stage * 8) & 0xFEFFFFFF;
            const int off_k = iter_k * BLOCK_K;
            
            // SMEM addresses
            const int A_smem   = smem + tma_stage * STAGE_SIZE;
            const int B1_smem  = A_smem + A_size;
            const int B2_smem  = B1_smem + B1_size;

            // Arrive.expect_tx for this CTA's tensor TMAs, then issue loads.
            constexpr int TENSOR_TMA_SIZE = A_size + B1_size + B2_size;
            asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
                        :: "r"(mbar_addr), "r"(TENSOR_TMA_SIZE) : "memory");

            // Issue tensor TMA loads (A is not split; B1/B2 are split along N).
            tma_3d_gmem2smem<CTA_GROUP>(A_smem, &A_tmap, 0, off_m, off_k / 256, mbar_addr, cache_A);
            const int B_col_offset = off_n + cta_rank * HALF_BLOCK_N;
            tma_3d_gmem2smem<CTA_GROUP>(B1_smem, &B1_tmap, 0, B_col_offset, off_k / 256, mbar_addr, cache_B);
            tma_3d_gmem2smem<CTA_GROUP>(B2_smem, &B2_tmap, 0, B_col_offset, off_k / 256, mbar_addr, cache_B);

            tma_stage = (tma_stage + 1) % NUM_STAGES;
            if (tma_stage == 0) mma_phase ^= 1;
        }
    }
    // ========================================================================
    // MMA Warp (warp 6, CTA0 ONLY) - Wait for TMA, issue tcgen05.cp and tcgen05.mma
    // ========================================================================
    else if (cta_rank == 0 && warp_id == NUM_WARPS - 1 && elect_sync()) {
        int tma_stage = 0;
        int tma_phase = 0;
        
        for (int iter_k = 0; iter_k < num_iters; iter_k++) {
            // Wait for ALL TMAs (count=4: 2 tensor expect_tx + 2 SF arrive)
            mbarrier_wait(tma_mbar_addr + tma_stage * 8, tma_phase);
            
            asm volatile("tcgen05.fence::after_thread_sync;");

            // SMEM addresses
            const int base_smem = smem + tma_stage * STAGE_SIZE;
            const int A_smem   = base_smem;
            const int B1_smem  = base_smem + A_size;
            const int B2_smem  = base_smem + A_size + B1_size;
            const int SFA_smem = base_smem + A_size + B1_size + B2_size;
            const int SFB1_smem = SFA_smem + SFA_size;
            const int SFB2_smem = SFB1_smem + SFB1_size;

            // tcgen05.cp - reads from BOTH CTAs' SMEM, writes to BOTH TMEMs
            const uint64_t SFA_desc  = SF_desc_base + ((uint64_t)SFA_smem >> 4ULL);
            const uint64_t SFB1_desc = SF_desc_base + ((uint64_t)SFB1_smem >> 4ULL);
            const uint64_t SFB2_desc = SF_desc_base + ((uint64_t)SFB2_smem >> 4ULL);
            
            #pragma unroll
            for (int k = 0; k < BLOCK_K / MMA_K; k++) {
                tcgen05_cp_cta2(SFA_tmem + k * SFA_COLS_PER_K, SFA_desc + (uint64_t)k * 32ULL);
                tcgen05_cp_cta2(SFB1_tmem + k * SFB_COLS_PER_K, SFB1_desc + (uint64_t)k * 32ULL);
                tcgen05_cp_cta2(SFB2_tmem + k * SFB_COLS_PER_K, SFB2_desc + (uint64_t)k * 32ULL);
            }
            
            // Fence to ensure tcgen05.cp completes before tcgen05.mma
            asm volatile("tcgen05.fence::before_thread_sync;");

            // MMA
            #pragma unroll
            for (int k1 = 0; k1 < BLOCK_K / 256; k1++) {
                #pragma unroll
                for (int k2 = 0; k2 < 256 / MMA_K; k2++) {
                    const int a_off = k1 * BLOCK_M * 128 + k2 * 32;
                    const int b_off = k1 * HALF_BLOCK_N * 128 + k2 * 32;
                    
                    uint64_t a_desc  = AB_desc_base + desc_encode(A_smem + a_off);
                    uint64_t b1_desc = AB_desc_base + desc_encode(B1_smem + b_off);
                    uint64_t b2_desc = AB_desc_base + desc_encode(B2_smem + b_off);

                    const int k_sf = k1 * 4 + k2;
                    const int scale_A  = SFA_tmem + k_sf * SFA_COLS_PER_K;
                    const int scale_B1 = SFB1_tmem + k_sf * SFB_COLS_PER_K + scale_B_base_off;
                    const int scale_B2 = SFB2_tmem + k_sf * SFB_COLS_PER_K + scale_B_base_off;

                    const int enable_d = (k1 == 0 && k2 == 0) ? iter_k : 1;
                    tcgen05_mma_cta2(ACC1_tmem, a_desc, b1_desc, i_desc, scale_A, scale_B1, enable_d);
                    tcgen05_mma_cta2(ACC2_tmem, a_desc, b2_desc, i_desc, scale_A, scale_B2, enable_d);
                }
            }

            // Commit MMA - multicast to BOTH CTAs (following reference)
            constexpr int16_t cta_mask = (1 << CTA_GROUP) - 1;  // 0b11
            asm volatile("tcgen05.commit.cta_group::2.mbarrier::arrive::one.shared::cluster.multicast::cluster.b64 [%0], %1;"
                        :: "r"(mma_mbar_addr + tma_stage * 8), "h"(cta_mask) : "memory");

            // Flip phase when cycled through all stages
            tma_stage = (tma_stage + 1) % NUM_STAGES;
            if (tma_stage == 0) {
                tma_phase ^= 1;
            }
        }
        
        // Signal mainloop completion - multicast to BOTH CTAs
        constexpr int16_t cta_mask = (1 << CTA_GROUP) - 1;
        asm volatile("tcgen05.commit.cta_group::2.mbarrier::arrive::one.shared::cluster.multicast::cluster.b64 [%0], %1;"
                    :: "r"(mainloop_mbar_addr), "h"(cta_mask) : "memory");
    }

    // ========================================================================
    // Epilogue - BOTH CTAs wait for mainloop completion
    // Optimized with wider TMEM loads (64 columns at once instead of 8)
    // ========================================================================
    mbarrier_wait(mainloop_mbar_addr, 0);
    asm volatile("tcgen05.fence::after_thread_sync;");

    if (tid < BLOCK_M) {
        // cta_group::2 MMA produces full BLOCK_N columns per CTA accumulator
        constexpr int WIDTH = (BLOCK_N <= 64) ? BLOCK_N : 64;
        const int tmem_row = cta_rank * 128 + warp_id * 32;
        
        #pragma unroll 1
        for (int n = 0; n < BLOCK_N / WIDTH; n++) {
            float acc1[WIDTH], acc2[WIDTH];
            
            // Compute full TMEM address: taddr + (row << 16) + col
            const int addr1 = taddr + (tmem_row << 16) + (ACC1_tmem + n * WIDTH);
            const int addr2 = taddr + (tmem_row << 16) + (ACC2_tmem + n * WIDTH);
            
            // Load with wider TMEM loads
            // - WIDTH==64 for BLOCK_N=128
            // - WIDTH==BLOCK_N for BLOCK_N<=64
            if constexpr (WIDTH == 64) {
                tcgen05_ld_32x32bx64_addr(acc1, addr1);
                tcgen05_ld_32x32bx64_addr(acc2, addr2);
            } else {
                tcgen05_ld_32x32bx32_addr(acc1, addr1);
                tcgen05_ld_32x32bx32_addr(acc2, addr2);
            }
            asm volatile("tcgen05.wait::ld.sync.aligned;");

            // Store C as (M, N) row-major (matches reference layout), vectorized per thread.
            half* row_ptr = C_ptr + (off_m + tid) * N + off_n + n * WIDTH;
            
            // 32B stores (16 fp16 at a time).
            #pragma unroll
            for (int i = 0; i < WIDTH; i += 16) {
                half2 h0 = silu_mul_h2(acc1[i+0],  acc1[i+1],  acc2[i+0],  acc2[i+1]);
                half2 h1 = silu_mul_h2(acc1[i+2],  acc1[i+3],  acc2[i+2],  acc2[i+3]);
                half2 h2 = silu_mul_h2(acc1[i+4],  acc1[i+5],  acc2[i+4],  acc2[i+5]);
                half2 h3 = silu_mul_h2(acc1[i+6],  acc1[i+7],  acc2[i+6],  acc2[i+7]);
                half2 h4 = silu_mul_h2(acc1[i+8],  acc1[i+9],  acc2[i+8],  acc2[i+9]);
                half2 h5 = silu_mul_h2(acc1[i+10], acc1[i+11], acc2[i+10], acc2[i+11]);
                half2 h6 = silu_mul_h2(acc1[i+12], acc1[i+13], acc2[i+12], acc2[i+13]);
                half2 h7 = silu_mul_h2(acc1[i+14], acc1[i+15], acc2[i+14], acc2[i+15]);
                
                const uint32_t u0 = *reinterpret_cast<uint32_t*>(&h0);
                const uint32_t u1 = *reinterpret_cast<uint32_t*>(&h1);
                const uint32_t u2 = *reinterpret_cast<uint32_t*>(&h2);
                const uint32_t u3 = *reinterpret_cast<uint32_t*>(&h3);
                const uint32_t u4 = *reinterpret_cast<uint32_t*>(&h4);
                const uint32_t u5 = *reinterpret_cast<uint32_t*>(&h5);
                const uint32_t u6 = *reinterpret_cast<uint32_t*>(&h6);
                const uint32_t u7 = *reinterpret_cast<uint32_t*>(&h7);

                const unsigned long long q0 = (unsigned long long)u0 | ((unsigned long long)u1 << 32);
                const unsigned long long q1 = (unsigned long long)u2 | ((unsigned long long)u3 << 32);
                const unsigned long long q2 = (unsigned long long)u4 | ((unsigned long long)u5 << 32);
                const unsigned long long q3 = (unsigned long long)u6 | ((unsigned long long)u7 << 32);

                stg_32b((const void*)(row_ptr + i), q0, q1, q2, q3);
            }
        }
    }

    // Cluster barrier before deallocation (following reference)
    asm volatile("barrier.cluster.arrive.release.aligned;");
    asm volatile("barrier.cluster.wait.acquire.aligned;");
    
    if (warp_id == 0) {
        asm volatile("tcgen05.dealloc.cta_group::2.sync.aligned.b32 %0, %1;" 
                    :: "r"(taddr), "r"(TOTAL_TMEM_COLS));
    }
}

template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
at::Tensor dual_gemm_cta2_v6_launch(
    const at::Tensor& A,
    const at::Tensor& B1,
    const at::Tensor& B2,
    const at::Tensor& SFA,
    const at::Tensor& SFB1,
    const at::Tensor& SFB2,
    at::Tensor& C
) {
    constexpr int HALF_BLOCK_N = BLOCK_N / 2;
    
    const int M = A.size(0);
    const int N = B1.size(0);

    auto A_ptr    = reinterpret_cast<const char *>(A.data_ptr());
    auto B1_ptr   = reinterpret_cast<const char *>(B1.data_ptr());
    auto B2_ptr   = reinterpret_cast<const char *>(B2.data_ptr());
    auto SFA_ptr  = reinterpret_cast<const char *>(SFA.data_ptr());
    auto SFB1_ptr = reinterpret_cast<const char *>(SFB1.data_ptr());
    auto SFB2_ptr = reinterpret_cast<const char *>(SFB2.data_ptr());
    auto C_ptr    = reinterpret_cast<half *>(C.data_ptr());

    CUtensorMap A_tmap, B1_tmap, B2_tmap;
    init_AB_tmap(&A_tmap, A_ptr, M, K, BLOCK_M, BLOCK_K);
    init_AB_tmap(&B1_tmap, B1_ptr, N, K, HALF_BLOCK_N, BLOCK_K);
    init_AB_tmap(&B2_tmap, B2_ptr, N, K, HALF_BLOCK_N, BLOCK_K);

    CUtensorMap SFA_tmap, SFB1_tmap, SFB2_tmap;
    init_SF_tmap(&SFA_tmap,  SFA_ptr,  M, K, BLOCK_K);
    init_SF_tmap(&SFB1_tmap, SFB1_ptr, N, K, BLOCK_K);
    init_SF_tmap(&SFB2_tmap, SFB2_ptr, N, K, BLOCK_K);

    const int num_blocks = (M / BLOCK_M) * (N / BLOCK_N);
    dim3 grid(num_blocks, 1, 1);
    int tb_size = BLOCK_M + 3 * WARP_SIZE;  // +3 for SF, TMA, MMA warps
    
    constexpr int A_size_c    = BLOCK_M * BLOCK_K / 2;
    constexpr int B1_size_c   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int B2_size_c   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int SFA_size_c  = 128 * BLOCK_K / 16;
    constexpr int SFB1_size_c = 128 * BLOCK_K / 16;
    constexpr int SFB2_size_c = 128 * BLOCK_K / 16;
    int smem_size = (A_size_c + B1_size_c + B2_size_c + SFA_size_c + SFB1_size_c + SFB2_size_c) * NUM_STAGES;

    auto kernel_fn = dual_gemm_cta2_v6_kernel<K, BLOCK_M, BLOCK_N, BLOCK_K, NUM_STAGES>;
    if (smem_size > 48000)
        cudaFuncSetAttribute(kernel_fn, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_size);

    kernel_fn<<<grid, tb_size, smem_size>>>(
        A_tmap, B1_tmap, B2_tmap, SFA_tmap, SFB1_tmap, SFB2_tmap, C_ptr, M, N
    );

    return C;
}

// ============================================================================
// Launch Wrapper
// ============================================================================

template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
at::Tensor dual_gemm_cta2_persistent_launch(
    const at::Tensor& A,
    const at::Tensor& B1,
    const at::Tensor& B2,
    const at::Tensor& SFA,
    const at::Tensor& SFB1,
    const at::Tensor& SFB2,
    at::Tensor& C
) {
    constexpr int HALF_BLOCK_N = BLOCK_N / 2;
    
    const int M = A.size(0);
    const int N = B1.size(0);

    auto A_ptr    = reinterpret_cast<const char *>(A.data_ptr());
    auto B1_ptr   = reinterpret_cast<const char *>(B1.data_ptr());
    auto B2_ptr   = reinterpret_cast<const char *>(B2.data_ptr());
    auto SFA_ptr  = reinterpret_cast<const char *>(SFA.data_ptr());
    auto SFB1_ptr = reinterpret_cast<const char *>(SFB1.data_ptr());
    auto SFB2_ptr = reinterpret_cast<const char *>(SFB2.data_ptr());
    auto C_ptr    = reinterpret_cast<half *>(C.data_ptr());

    CUtensorMap A_tmap, B1_tmap, B2_tmap;
    init_AB_tmap(&A_tmap, A_ptr, M, K, BLOCK_M, BLOCK_K);
    init_AB_tmap(&B1_tmap, B1_ptr, N, K, HALF_BLOCK_N, BLOCK_K);
    init_AB_tmap(&B2_tmap, B2_ptr, N, K, HALF_BLOCK_N, BLOCK_K);

    CUtensorMap SFA_tmap, SFB1_tmap, SFB2_tmap;
    init_SF_tmap(&SFA_tmap,  SFA_ptr,  M, K, BLOCK_K);
    init_SF_tmap(&SFB1_tmap, SFB1_ptr, N, K, BLOCK_K);
    init_SF_tmap(&SFB2_tmap, SFB2_ptr, N, K, BLOCK_K);

    const int num_blocks = (M / BLOCK_M) * (N / BLOCK_N);
    dim3 grid(num_blocks, 1, 1);
    int tb_size = BLOCK_M + 3 * WARP_SIZE;  // +3 for SF, TMA, MMA warps
    
    constexpr int A_size_c    = BLOCK_M * BLOCK_K / 2;
    constexpr int B1_size_c   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int B2_size_c   = HALF_BLOCK_N * BLOCK_K / 2;
    constexpr int SFA_size_c  = 128 * BLOCK_K / 16;
    constexpr int SFB1_size_c = 128 * BLOCK_K / 16;
    constexpr int SFB2_size_c = 128 * BLOCK_K / 16;
    int smem_size = (A_size_c + B1_size_c + B2_size_c + SFA_size_c + SFB1_size_c + SFB2_size_c) * NUM_STAGES;

    auto kernel_fn = dual_gemm_cta2_persistent_kernel<K, BLOCK_M, BLOCK_N, BLOCK_K, NUM_STAGES>;
    if (smem_size > 48000)
        cudaFuncSetAttribute(kernel_fn, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_size);

    // Persistent grid tuning:
    // - Use one cluster per N-tile (up to 74 clusters on B200), so each cluster walks M-tiles for a fixed N.
    //   This makes M=512 (grid_m_clusters=2) naturally give *exactly two tiles per cluster*, enabling
    //   accumulator double-buffer overlap and improving B/SF locality between the two M-tiles.
    const int grid_m_clusters = M / (BLOCK_M * 2);
    const int grid_n_clusters = N / BLOCK_N;
    const int num_tiles = grid_m_clusters * grid_n_clusters;
    const int max_clusters = 74;
    int clusters = (grid_n_clusters < max_clusters) ? grid_n_clusters : max_clusters;
    if (clusters > num_tiles) clusters = num_tiles;
    if (clusters < 1) clusters = 1;
    dim3 pgrid(clusters * 2, 1, 1);

    kernel_fn<<<pgrid, tb_size, smem_size>>>(
        A_tmap, B1_tmap, B2_tmap, SFA_tmap, SFB1_tmap, SFB2_tmap, C_ptr, M, N
    );

    return C;
}

at::Tensor dual_gemm(
    const at::Tensor& A,
    const at::Tensor& B1,
    const at::Tensor& B2,
    const at::Tensor& SFA,
    const at::Tensor& SFB1,
    const at::Tensor& SFB2,
    at::Tensor& C
) {
    const int K = A.size(1) * 2;
    const int M = A.size(0);
    const int N = B1.size(0);

    // Use persistent kernel only for the shape where we expect it to help.
    // All other cases fall back to the (non-persistent) v6 kernel.
    if (M == 256 && N == 4096 && K == 7168) {
        return dual_gemm_cta2_persistent_launch<7168, 128, 64, 256, 7>(A, B1, B2, SFA, SFB1, SFB2, C);
    }

    // v6 default path (must work for correctness tests too).
    TORCH_CHECK((K % 256) == 0, "Unsupported K: ", K, " (expected K divisible by 256)");

    // v6 tiling policy (simple and consistent):
    // - For M=256, use BLOCK_N=64 (improves block count / reduces wasted SF duplication).
    // - For all other M, use BLOCK_N=128 (better for performance and matches original v6 intent).
    //
    // Stage policy:
    // - BLOCK_N=64:  NUM_STAGES = min(7, K/256)
    // - BLOCK_N=128: NUM_STAGES = min(5, K/256)
#define LAUNCH_V6_K(KV) do { \
    if (K == (KV)) { \
        if (M == 256) { \
            constexpr int NI = (KV) / 256; \
            constexpr int STAGES = (NI < 7) ? NI : 7; \
            return dual_gemm_cta2_v6_launch<(KV), 128, 64, 256, STAGES>(A, B1, B2, SFA, SFB1, SFB2, C); \
        } else { \
            constexpr int NI = (KV) / 256; \
            constexpr int STAGES = (NI < 5) ? NI : 5; \
            return dual_gemm_cta2_v6_launch<(KV), 128, 128, 256, STAGES>(A, B1, B2, SFA, SFB1, SFB2, C); \
        } \
    } \
} while (0)

    // Support all multiples of 256 up to 7168.
    LAUNCH_V6_K(256);
    LAUNCH_V6_K(512);
    LAUNCH_V6_K(768);
    LAUNCH_V6_K(1024);
    LAUNCH_V6_K(1280);
    LAUNCH_V6_K(1536);
    LAUNCH_V6_K(1792);
    LAUNCH_V6_K(2048);
    LAUNCH_V6_K(2304);
    LAUNCH_V6_K(2560);
    LAUNCH_V6_K(2816);
    LAUNCH_V6_K(3072);
    LAUNCH_V6_K(3328);
    LAUNCH_V6_K(3584);
    LAUNCH_V6_K(3840);
    LAUNCH_V6_K(4096);
    LAUNCH_V6_K(4352);
    LAUNCH_V6_K(4608);
    LAUNCH_V6_K(4864);
    LAUNCH_V6_K(5120);
    LAUNCH_V6_K(5376);
    LAUNCH_V6_K(5632);
    LAUNCH_V6_K(5888);
    LAUNCH_V6_K(6144);
    LAUNCH_V6_K(6400);
    LAUNCH_V6_K(6656);
    LAUNCH_V6_K(6912);
    LAUNCH_V6_K(7168);

#undef LAUNCH_V6_K

    TORCH_CHECK(false, "Unsupported K value: ", K, " (supported: multiples of 256 in [256, 7168])");
}

TORCH_LIBRARY(dual_gemm_cta2_persistent_module, m) {
    m.def("dual_gemm(Tensor A, Tensor B1, Tensor B2, Tensor SFA, Tensor SFB1, Tensor SFB2, Tensor(a!) C) -> Tensor");
    m.impl("dual_gemm", &dual_gemm);
}
"""

_compiled_module = None

def _get_module():
    global _compiled_module
    if _compiled_module is None:
        _compiled_module = load_inline(
            "dual_gemm_cta2_persistent_cuda",
            cpp_sources="",
            cuda_sources=CUDA_SOURCE,
            verbose=True,
            is_python_module=False,
            extra_cuda_cflags=[
                "-O3",
                "-gencode=arch=compute_100a,code=sm_100a",
                "--use_fast_math",
                "--expt-relaxed-constexpr",
                "--relocatable-device-code=false",
                "-lineinfo",
            ],
            extra_ldflags=["-lcuda"],
        )
    return _compiled_module


def custom_kernel(data: input_t) -> output_t:
    a, b1, b2, _, _, _, sfa_permuted, sfb1_permuted, sfb2_permuted, c = data
    _get_module()
    return torch.ops.dual_gemm_cta2_persistent_module.dual_gemm(
        a, b1, b2, sfa_permuted, sfb1_permuted, sfb2_permuted, c
    )

scrolls · 1300 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 276278.

⋯ 5 unchanged lines
from torch.utils.cpp_extension import load_inline
# ============================================================================
- # 2-SM MMA Dual GEMM v6 - Dedicated SF Warp + Pipelining
- # Optimization: Separate warp for SF TMA, overlapped with tensor TMA
+ # NVFP4 block-scaled dual GEMM with SiLU: C = silu(A @ B1) * (A @ B2)
+ #
+ # This single-file submission contains two kernels:
+ # - Persistent kernel (BLOCK_N=64, accumulator ping-pong) for (M,N,K)=(256,4096,7168)
+ # - v6 kernel for all other cases (M=512 uses BLOCK_N=128; M=256 uses BLOCK_N=64)
# ============================================================================
CUDA_SOURCE = r"""
⋯ 2 unchanged lines
#include <cuda_fp8.h>
#include <torch/library.h>
#include <ATen/core/Tensor.h>
- #include <cstdlib>
- #include <cstdio>
constexpr int WARP_SIZE = 32;
constexpr int MMA_K = 64;
// L2 Cache Hints (from 1st.py)
- constexpr uint64_t EVICT_NORMAL = 0x1000000000000000ULL;
constexpr uint64_t EVICT_FIRST = 0x12F0000000000000ULL;
constexpr uint64_t EVICT_LAST = 0x14F0000000000000ULL;
- // exp2 LUT (fractional) for fast sigmoid: exp(-x) = 2^(-x / ln2)
- constexpr int EXP2_LUT_BITS = 6; // 64-entry LUT
- constexpr int EXP2_LUT_SIZE = 1 << EXP2_LUT_BITS;
- __device__ __constant__ float EXP2_FRAC_LUT[EXP2_LUT_SIZE + 1] = {
- 1.000000000f,
- 1.010889286f,
- 1.021897149f,
- 1.033024879f,
- 1.044273782f,
- 1.055645178f,
- 1.067140401f,
- 1.078760798f,
- 1.090507733f,
- 1.102382583f,
- 1.114386743f,
- 1.126521619f,
- 1.138788635f,
- 1.151189230f,
- 1.163724859f,
- 1.176396992f,
- 1.189207115f,
- 1.202156731f,
- 1.215247360f,
- 1.228480536f,
- 1.241857812f,
- 1.255380757f,
- 1.269050957f,
- 1.282870016f,
- 1.296839555f,
- 1.310961212f,
- 1.325236643f,
- 1.339667524f,
- 1.354255547f,
- 1.369002423f,
- 1.383909882f,
- 1.398979673f,
- 1.414213562f,
- 1.429613338f,
- 1.445180807f,
- 1.460917794f,
- 1.476826146f,
- 1.492907728f,
- 1.509164428f,
- 1.525598151f,
- 1.542210825f,
- 1.559004400f,
- 1.575980845f,
- 1.593142151f,
- 1.610490332f,
- 1.628027422f,
- 1.645755478f,
- 1.663676580f,
- 1.681792831f,
- 1.700106354f,
- 1.718619298f,
- 1.737333835f,
- 1.756252160f,
- 1.775376493f,
- 1.794709075f,
- 1.814252176f,
- 1.834008086f,
- 1.853979125f,
- 1.874167634f,
- 1.894575982f,
- 1.915206561f,
- 1.936061793f,
- 1.957144124f,
- 1.978456026f,
- 2.000000000f
- };
-
// ============================================================================
// PTX Helper Functions
// ============================================================================
⋯ 4 unchanged lines
}
__device__ __forceinline__
- float ex2_approx(float x) {
- float y;
- asm volatile("ex2.approx.f32 %0, %1;" : "=f"(y) : "f"(x));
- return y;
- }
-
- __device__ __forceinline__
- float rcp_approx(float x) {
- float y;
- asm volatile("rcp.approx.f32 %0, %1;" : "=f"(y) : "f"(x));
- return y;
- }
-
- __device__ __forceinline__
- float exp2_lut(float t) {
- // Clamp to avoid overflow/underflow blowing up sigmoid.
- t = fminf(fmaxf(t, -80.0f), 80.0f);
-
- // n = floor(t), f = t - n in [0,1)
- const int n = __float2int_rd(t);
- const float f = t - (float)n;
-
- const float u = f * (float)EXP2_LUT_SIZE;
- const int idx = (int)u;
- const float r = u - (float)idx;
-
- const float a = EXP2_FRAC_LUT[idx];
- const float b = EXP2_FRAC_LUT[idx + 1];
- const float m = fmaf(b - a, r, a);
-
- const int e = n + 127;
- if (e <= 0) return 0.0f;
- if (e >= 255) return __int_as_float(0x7f800000); // +inf
- const uint32_t bits = (uint32_t)e << 23;
- return __uint_as_float(bits) * m;
- }
-
- template <int SILU_MODE>
- __device__ __forceinline__
half2 silu_mul_h2(float x0, float x1, float y0, float y1) {
- if constexpr (SILU_MODE == 0) {
- // Baseline: FP32 exp + fast divide.
- return __float22half2_rn({
- __fdividef(x0, 1.0f + __expf(-x0)) * y0,
- __fdividef(x1, 1.0f + __expf(-x1)) * y1
- });
- } else if constexpr (SILU_MODE == 1) {
- // PTX approx: exp(-x) ≈ 2^(-x / ln2) via ex2.approx, sigmoid via rcp.approx + 1 NR step.
- const float t0 = fminf(fmaxf(-x0 * 1.4426950408889634f, -80.0f), 80.0f);
- const float t1 = fminf(fmaxf(-x1 * 1.4426950408889634f, -80.0f), 80.0f);
-
- const float e0 = ex2_approx(t0);
- const float e1 = ex2_approx(t1);
-
- const float d0 = 1.0f + e0;
- const float d1 = 1.0f + e1;
-
- float r0 = rcp_approx(d0);
- float r1 = rcp_approx(d1);
- // One Newton-Raphson refinement: r <- r * (2 - d*r)
- r0 = r0 * fmaf(-d0, r0, 2.0f);
- r1 = r1 * fmaf(-d1, r1, 2.0f);
-
- return __float22half2_rn({
- (x0 * r0) * y0,
- (x1 * r1) * y1
- });
- } else if constexpr (SILU_MODE == 2) {
- // LUT exp2(f) + exact exponent scaling for exp(-x), then rcp.approx + 1 NR step.
- const float t0 = -x0 * 1.4426950408889634f;
- const float t1 = -x1 * 1.4426950408889634f;
-
- const float e0 = exp2_lut(t0);
- const float e1 = exp2_lut(t1);
-
- const float d0 = 1.0f + e0;
- const float d1 = 1.0f + e1;
-
- float r0 = rcp_approx(d0);
- float r1 = rcp_approx(d1);
- r0 = r0 * fmaf(-d0, r0, 2.0f);
- r1 = r1 * fmaf(-d1, r1, 2.0f);
-
- return __float22half2_rn({
- (x0 * r0) * y0,
- (x1 * r1) * y1
- });
- } else if constexpr (SILU_MODE == 3) {
- // PTX approx without NR (experiment): may fail correctness.
- const float t0 = fminf(fmaxf(-x0 * 1.4426950408889634f, -80.0f), 80.0f);
- const float t1 = fminf(fmaxf(-x1 * 1.4426950408889634f, -80.0f), 80.0f);
-
- const float e0 = ex2_approx(t0);
- const float e1 = ex2_approx(t1);
-
- const float r0 = rcp_approx(1.0f + e0);
- const float r1 = rcp_approx(1.0f + e1);
-
- return __float22half2_rn({
- (x0 * r0) * y0,
- (x1 * r1) * y1
- });
- } else if constexpr (SILU_MODE == 4) {
- // LUT exp2 without NR (experiment): may fail correctness.
- const float t0 = -x0 * 1.4426950408889634f;
- const float t1 = -x1 * 1.4426950408889634f;
-
- const float e0 = exp2_lut(t0);
- const float e1 = exp2_lut(t1);
-
- const float r0 = rcp_approx(1.0f + e0);
- const float r1 = rcp_approx(1.0f + e1);
-
- return __float22half2_rn({
- (x0 * r0) * y0,
- (x1 * r1) * y1
- });
- } else {
- return __float22half2_rn({
- __fdividef(x0, 1.0f + __expf(-x0)) * y0,
- __fdividef(x1, 1.0f + __expf(-x1)) * y1
- });
- }
+ // SiLU(x) = x / (1 + exp(-x)), computed in FP32 then multiplied by y.
+ const float s0 = __fdividef(x0, 1.0f + __expf(-x0));
+ const float s1 = __fdividef(x1, 1.0f + __expf(-x1));
+ return __float22half2_rn({s0 * y0, s1 * y1});
}
// 32B global store (4x64b) to improve L1TEX sector utilization vs 16B stores.
⋯ 57 unchanged lines
);
}
- // Bulk TMA with cache hint for scale factors
+ // Tensor TMA multicast to multiple CTAs in the cluster.
+ // - Copies to the same dst offset in each destination CTA's shared memory.
+ // - With cta_group::2 and mbar in CTA0, the completion signal is directed to CTA0 for the CTA-pair.
+ template <int CTA_GROUP>
__device__ __forceinline__
- void tma_bulk_gmem2smem(int dst, const void *src, int size, int mbar_addr, uint64_t cache_policy) {
+ void tma_3d_gmem2smem_mcast(int dst, const void *tmap_ptr, int x, int y, int z,
+ int mbar_addr, uint16_t cta_mask, uint64_t cache_policy) {
asm volatile(
- "cp.async.bulk.shared::cta.global.mbarrier::complete_tx::bytes.L2::cache_hint [%0], [%1], %2, [%3], %4;"
- :: "r"(dst), "l"(src), "r"(size), "r"(mbar_addr), "l"(cache_policy) : "memory"
+ "cp.async.bulk.tensor.3d.shared::cluster.global.mbarrier::complete_tx::bytes.multicast::cluster.cta_group::%6.L2::cache_hint "
+ "[%0], [%1, {%2, %3, %4}], [%5], %7, %8;"
+ :: "r"(dst), "l"(tmap_ptr), "r"(x), "r"(y), "r"(z),
+ "r"(mbar_addr), "n"(CTA_GROUP), "h"(cta_mask), "l"(cache_policy)
+ : "memory"
);
}
⋯ 179 unchanged lines
// 2-SM MMA Dual GEMM Kernel - Following reference pattern
// ============================================================================
- template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES, int SILU_MODE>
+ template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
__global__
__cluster_dims__(2, 1, 1)
__launch_bounds__(BLOCK_M + 3 * WARP_SIZE)
- void dual_gemm_cta2_kernel(
+ void dual_gemm_cta2_persistent_kernel(
const __grid_constant__ CUtensorMap A_tmap,
const __grid_constant__ CUtensorMap B1_tmap,
const __grid_constant__ CUtensorMap B2_tmap,
⋯ 15 unchanged lines
int cta_rank;
asm volatile("mov.b32 %0, %%cluster_ctarank;" : "=r"(cta_rank));
+ // Persistent cluster id (CTA-pair id) and scheduling stride (in clusters).
+ const int cluster_pid = bid / CTA_GROUP;
+ const int num_clusters = gridDim.x / CTA_GROUP;
+
+ // Logical output tile grid in cluster-tiles: (M/256) x (N/BLOCK_N)
+ const int grid_m_clusters = M / (BLOCK_M * 2);
+ const int grid_n_clusters = N / BLOCK_N;
+ const int num_tiles = grid_m_clusters * grid_n_clusters;
+
+ extern __shared__ __align__(1024) char smem_ptr[];
+ const int smem = static_cast<int>(__cvta_generic_to_shared(smem_ptr));
+
+ // SMEM layout (must be identical across CTAs!)
+ // In 2-SM MMA, the B operand is split across CTAs (each CTA holds HALF_BLOCK_N columns).
+ constexpr int A_size = BLOCK_M * BLOCK_K / 2;
+ constexpr int B1_size = HALF_BLOCK_N * BLOCK_K / 2;
+ constexpr int B2_size = HALF_BLOCK_N * BLOCK_K / 2;
+ constexpr int SFA_size = 128 * BLOCK_K / 16;
+ constexpr int SFB1_size = 128 * BLOCK_K / 16;
+ constexpr int SFB2_size = 128 * BLOCK_K / 16;
+ constexpr int STAGE_SIZE = A_size + B1_size + B2_size + SFA_size + SFB1_size + SFB2_size;
+
+ // Mbarrier layout:
+ // - tma_mbar[NUM_STAGES]: count=CTA_GROUP*2
+ // - tensor warp issues expect_tx for tensor bytes (1 arrival per CTA)
+ // - sf warp issues expect_tx for SF bytes (1 arrival per CTA)
+ // Both report into CTA0's mbar (masked address), using .shared::cluster.
+ // - mma_mbar[NUM_STAGES]: count=1, CTA0 multicasts to both CTAs (stage reuse)
+ // - mainloop_mbar[2]: count=1, CTA0 multicasts to both CTAs (signals accumulator stage ready)
+ // - epilogue_mbar[2]: count=4*CTA_GROUP, epilogue warps report to CTA0 (signals accumulator stage free)
+ #pragma nv_diag_suppress static_var_with_dynamic_init
+ __shared__ uint64_t mbars[NUM_STAGES * 2 + 4];
+ __shared__ int tmem_addr[1];
+ const int tma_mbar_addr = static_cast<int>(__cvta_generic_to_shared(mbars));
+ const int mma_mbar_addr = tma_mbar_addr + NUM_STAGES * 8;
+ const int mainloop_mbar_addr = mma_mbar_addr + NUM_STAGES * 8;
+ const int epilogue_mbar_addr = mainloop_mbar_addr + 2 * 8;
+
+ // TMEM layout for cta_group::2 (persistent + 2-stage accumulator ping-pong).
+ // Stage 0: [ACC1_0 (BLOCK_N)][ACC2_0 (BLOCK_N)]
+ // Stage 1: [ACC1_1 (BLOCK_N)][ACC2_1 (BLOCK_N)]
+ constexpr int ACC_STRIDE = 2 * BLOCK_N; // cols per stage (ACC1+ACC2)
+ constexpr int ACC_BASE = 0;
+ constexpr int ACC1_OFF = 0;
+ constexpr int ACC2_OFF = BLOCK_N;
+ constexpr int SFA_COLS_PER_K = 8; // 256 rows / 32
+ constexpr int SFB_COLS_PER_K = 4; // 128 cols / 32
+ // Place scale factors after the double-buffered accumulators.
+ constexpr int SFA_tmem = ACC_BASE + 2 * ACC_STRIDE; // 4*BLOCK_N
+ constexpr int SFB1_tmem = SFA_tmem + SFA_COLS_PER_K * (BLOCK_K / MMA_K);
+ constexpr int SFB2_tmem = SFB1_tmem + SFB_COLS_PER_K * (BLOCK_K / MMA_K);
+ // Persistent + accumulator double-buffering requires more TMEM columns.
+ // For BLOCK_N=64, 512 columns fits: 4*BLOCK_N (acc) + SF (<=64) <= 512.
+ static_assert(BLOCK_N == 64, "Persistent kernel variant is intended for BLOCK_N=64 only.");
+ constexpr int TOTAL_TMEM_COLS = 512;
+
+ // ========================================================================
+ // Initialization - following reference exactly
+ // ========================================================================
+ if (warp_id == 0 && elect_sync()) {
+ for (int i = 0; i < NUM_STAGES; i++) {
+ // 4 arrivals = 2 (tensor expect_tx) + 2 (SF expect_tx)
+ mbarrier_init(tma_mbar_addr + i * 8, CTA_GROUP * 2);
+ mbarrier_init(mma_mbar_addr + i * 8, 1); // CTA0 multicasts to both
+ }
+ for (int i = 0; i < 2; i++) {
+ mbarrier_init(mainloop_mbar_addr + i * 8, 1); // CTA0 multicasts to both
+ mbarrier_init(epilogue_mbar_addr + i * 8, 4 * CTA_GROUP); // 4 epilogue warps x both CTAs report to CTA0
+ }
+ asm volatile("fence.mbarrier_init.release.cluster;");
+ }
+ else if (warp_id == 1) {
+ const int addr = static_cast<int>(__cvta_generic_to_shared(tmem_addr));
+ asm volatile("tcgen05.alloc.cta_group::2.sync.aligned.shared::cta.b32 [%0], %1;"
+ :: "r"(addr), "r"(TOTAL_TMEM_COLS));
+ }
+
+ // Cluster barrier - visible to all threads in cluster
+ asm volatile("barrier.cluster.arrive.release.aligned;");
+ asm volatile("barrier.cluster.wait.acquire.aligned;");
+
+ const int taddr = tmem_addr[0];
+
+ // Instruction descriptor for MMA_M=256, MMA_N=BLOCK_N
+ constexpr uint32_t i_desc = (1U << 7U) | (1U << 10U) | ((uint32_t)BLOCK_N >> 3U << 17U) | (2U << 27U);
+ constexpr int SBO_AB = 8 * 128;
+ constexpr int SBO_SF = 8 * 16;
+ constexpr uint64_t AB_desc_base = (desc_encode(SBO_AB) << 32ULL) | (1ULL << 46ULL) | (2ULL << 61ULL);
+ constexpr uint64_t SF_desc_base = (desc_encode(SBO_SF) << 32ULL) | (1ULL << 46ULL);
+
+ constexpr int num_iters = K / BLOCK_K;
+
+ // L2 cache hints (winner pattern):
+ // If M > N, keep B (evict A first); else keep A (evict B first).
+ const uint64_t cache_A = (M > N) ? EVICT_FIRST : EVICT_LAST;
+ const uint64_t cache_B = (M > N) ? EVICT_LAST : EVICT_FIRST;
+
+ // ========================================================================
+ // SF Warp (warp 4) - Issues SF TMA loads (persistent over tiles)
+ // ========================================================================
+ if (warp_id == NUM_WARPS - 3 && elect_sync()) {
+ int tma_stage = 0;
+ int mma_phase = 1;
+ int it = 0; // global iteration across tiles for initial pipeline fill
+
+ for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
+ const int cluster_m = tile / grid_n_clusters;
+ const int cluster_n = tile % grid_n_clusters;
+ const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
+ const int off_n = cluster_n * BLOCK_N;
+
+ for (int iter_k = 0; iter_k < num_iters; iter_k++, it++) {
+ // Wait for MMA to release this buffer (skip for initial pipeline fill)
+ if (it >= NUM_STAGES)
+ mbarrier_wait(mma_mbar_addr + tma_stage * 8, mma_phase);
+
+ const int mbar_addr = (tma_mbar_addr + tma_stage * 8) & 0xFEFFFFFF;
+ const int off_k = iter_k * BLOCK_K;
+
+ // SMEM addresses for SF
+ const int base_smem = smem + tma_stage * STAGE_SIZE;
+ const int SFA_smem = base_smem + A_size + B1_size + B2_size;
+ const int SFB1_smem = SFA_smem + SFA_size;
+ const int SFB2_smem = SFB1_smem + SFB1_size;
+
+ // Scale-factor tensor TMA: report directly into CTA0's stage mbarrier.
+ // Optimization: SFB1/SFB2 are identical across CTAs for a given (off_n/128, off_k/64),
+ // so CTA0 multicasts SFB to both CTAs.
+ // NOTE: multicast complete_tx byte count scales with popcount(ctaMask) (2x here).
+ const int SF_TMA_SIZE = SFA_size + ((cta_rank == 0) ? (CTA_GROUP * (SFB1_size + SFB2_size)) : 0);
+ asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
+ :: "r"(mbar_addr), "r"(SF_TMA_SIZE) : "memory");
+
+ const int sf_y_A = off_m / 128;
+ const int sf_y_B = off_n / 128;
+ const int sf_z = off_k / 64;
+
+ tma_3d_gmem2smem<CTA_GROUP>(SFA_smem, &SFA_tmap, 0, sf_y_A, sf_z, mbar_addr, cache_A);
+ if (cta_rank == 0) {
+ constexpr uint16_t cta_mask = (1u << CTA_GROUP) - 1u; // 0b11
+ tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB1_smem, &SFB1_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
+ tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB2_smem, &SFB2_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
+ }
+
+ tma_stage = (tma_stage + 1) % NUM_STAGES;
+ if (tma_stage == 0) mma_phase ^= 1;
+ }
+ }
+ }
+ // ========================================================================
+ // TMA Warp (warp 5) - Issues TENSOR TMA loads (persistent over tiles)
+ // ========================================================================
+ else if (warp_id == NUM_WARPS - 2 && elect_sync()) {
+ int tma_stage = 0;
+ int mma_phase = 1;
+ int it = 0;
+
+ for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
+ const int cluster_m = tile / grid_n_clusters;
+ const int cluster_n = tile % grid_n_clusters;
+ const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
+ const int off_n = cluster_n * BLOCK_N;
+
+ for (int iter_k = 0; iter_k < num_iters; iter_k++, it++) {
+ // Wait for MMA to release this buffer (skip for initial pipeline fill)
+ if (it >= NUM_STAGES)
+ mbarrier_wait(mma_mbar_addr + tma_stage * 8, mma_phase);
+
+ const int mbar_addr = (tma_mbar_addr + tma_stage * 8) & 0xFEFFFFFF;
+ const int off_k = iter_k * BLOCK_K;
+
+ // SMEM addresses
+ const int A_smem = smem + tma_stage * STAGE_SIZE;
+ const int B1_smem = A_smem + A_size;
+ const int B2_smem = B1_smem + B1_size;
+
+ // Arrive.expect_tx for this CTA's tensor TMAs, then issue loads.
+ constexpr int TENSOR_TMA_SIZE = A_size + B1_size + B2_size;
+ asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
+ :: "r"(mbar_addr), "r"(TENSOR_TMA_SIZE) : "memory");
+
+ // Issue tensor TMA loads (A is split along M by cta_rank; B1/B2 split along N).
+ tma_3d_gmem2smem<CTA_GROUP>(A_smem, &A_tmap, 0, off_m, off_k / 256, mbar_addr, cache_A);
+ const int B_col_offset = off_n + cta_rank * HALF_BLOCK_N;
+ tma_3d_gmem2smem<CTA_GROUP>(B1_smem, &B1_tmap, 0, B_col_offset, off_k / 256, mbar_addr, cache_B);
+ tma_3d_gmem2smem<CTA_GROUP>(B2_smem, &B2_tmap, 0, B_col_offset, off_k / 256, mbar_addr, cache_B);
+
+ tma_stage = (tma_stage + 1) % NUM_STAGES;
+ if (tma_stage == 0) mma_phase ^= 1;
+ }
+ }
+ }
+ // ========================================================================
+ // MMA Warp (warp 6, CTA0 ONLY) - Persistent over tiles, double-buffer accumulators
+ // ========================================================================
+ else if (cta_rank == 0 && warp_id == NUM_WARPS - 1 && elect_sync()) {
+ int tma_stage = 0;
+ int tma_phase = 0;
+ int mainloop_stage = 0;
+ int epilogue_phase = 1; // initial stage 0 is available
+
+ for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
+ // Wait for epilogue to finish with this accumulator stage
+ mbarrier_wait(epilogue_mbar_addr + mainloop_stage * 8, epilogue_phase);
+
+ const int cluster_n = tile % grid_n_clusters;
+ const int scale_B_base_off = (cluster_n % (128 / BLOCK_N)) * (BLOCK_N / 32);
+
+ const int acc_stage_base = ACC_BASE + mainloop_stage * ACC_STRIDE;
+
+ for (int iter_k = 0; iter_k < num_iters; iter_k++) {
+ // Wait for ALL TMAs for this stage (count=4: 2 tensor expect_tx + 2 SF arrive)
+ mbarrier_wait(tma_mbar_addr + tma_stage * 8, tma_phase);
+
+ asm volatile("tcgen05.fence::after_thread_sync;");
+
+ // SMEM addresses
+ const int base_smem = smem + tma_stage * STAGE_SIZE;
+ const int A_smem = base_smem;
+ const int B1_smem = base_smem + A_size;
+ const int B2_smem = base_smem + A_size + B1_size;
+ const int SFA_smem = base_smem + A_size + B1_size + B2_size;
+ const int SFB1_smem = SFA_smem + SFA_size;
+ const int SFB2_smem = SFB1_smem + SFB1_size;
+
+ // tcgen05.cp - reads from BOTH CTAs' SMEM, writes to TMEM
+ const uint64_t SFA_desc = SF_desc_base + ((uint64_t)SFA_smem >> 4ULL);
+ const uint64_t SFB1_desc = SF_desc_base + ((uint64_t)SFB1_smem >> 4ULL);
+ const uint64_t SFB2_desc = SF_desc_base + ((uint64_t)SFB2_smem >> 4ULL);
+
+ #pragma unroll
+ for (int k = 0; k < BLOCK_K / MMA_K; k++) {
+ tcgen05_cp_cta2(SFA_tmem + k * SFA_COLS_PER_K, SFA_desc + (uint64_t)k * 32ULL);
+ tcgen05_cp_cta2(SFB1_tmem + k * SFB_COLS_PER_K, SFB1_desc + (uint64_t)k * 32ULL);
+ tcgen05_cp_cta2(SFB2_tmem + k * SFB_COLS_PER_K, SFB2_desc + (uint64_t)k * 32ULL);
+ }
+
+ // Fence to ensure tcgen05.cp completes before tcgen05.mma
+ asm volatile("tcgen05.fence::before_thread_sync;");
+
+ // MMA into the selected accumulator stage
+ #pragma unroll
+ for (int k1 = 0; k1 < BLOCK_K / 256; k1++) {
+ #pragma unroll
+ for (int k2 = 0; k2 < 256 / MMA_K; k2++) {
+ const int a_off = k1 * BLOCK_M * 128 + k2 * 32;
+ const int b_off = k1 * HALF_BLOCK_N * 128 + k2 * 32;
+
+ uint64_t a_desc = AB_desc_base + desc_encode(A_smem + a_off);
+ uint64_t b1_desc = AB_desc_base + desc_encode(B1_smem + b_off);
+ uint64_t b2_desc = AB_desc_base + desc_encode(B2_smem + b_off);
+
+ const int k_sf = k1 * 4 + k2;
+ const int scale_A = SFA_tmem + k_sf * SFA_COLS_PER_K;
+ const int scale_B1 = SFB1_tmem + k_sf * SFB_COLS_PER_K + scale_B_base_off;
+ const int scale_B2 = SFB2_tmem + k_sf * SFB_COLS_PER_K + scale_B_base_off;
+
+ const int enable_d = (k1 == 0 && k2 == 0) ? iter_k : 1;
+ tcgen05_mma_cta2(acc_stage_base + ACC1_OFF, a_desc, b1_desc, i_desc, scale_A, scale_B1, enable_d);
+ tcgen05_mma_cta2(acc_stage_base + ACC2_OFF, a_desc, b2_desc, i_desc, scale_A, scale_B2, enable_d);
+ }
+ }
+
+ // Commit MMA stage reuse - multicast to BOTH CTAs
+ constexpr int16_t cta_mask = (1 << CTA_GROUP) - 1; // 0b11
+ asm volatile("tcgen05.commit.cta_group::2.mbarrier::arrive::one.shared::cluster.multicast::cluster.b64 [%0], %1;"
+ :: "r"(mma_mbar_addr + tma_stage * 8), "h"(cta_mask) : "memory");
+
+ // Flip phase when cycled through all stages
+ tma_stage = (tma_stage + 1) % NUM_STAGES;
+ if (tma_stage == 0) tma_phase ^= 1;
+ }
+
+ // Signal mainloop completion for this accumulator stage - multicast to BOTH CTAs
+ constexpr int16_t cta_mask = (1 << CTA_GROUP) - 1;
+ asm volatile("tcgen05.commit.cta_group::2.mbarrier::arrive::one.shared::cluster.multicast::cluster.b64 [%0], %1;"
+ :: "r"(mainloop_mbar_addr + mainloop_stage * 8), "h"(cta_mask) : "memory");
+
+ // Advance accumulator stage
+ mainloop_stage = (mainloop_stage + 1) % 2;
+ if (mainloop_stage == 0) epilogue_phase ^= 1;
+ }
+ }
+
+ // ========================================================================
+ // Epilogue warps (warps 0..3) - Persistent over tiles, double-buffered acc stages
+ // ========================================================================
+ else if (warp_id < 4) {
+ int mainloop_stage = 0;
+ int mainloop_phase = 0;
+
+ for (int tile = cluster_pid; tile < num_tiles; tile += num_clusters) {
+ // Wait for accumulator stage to be ready
+ mbarrier_wait(mainloop_mbar_addr + mainloop_stage * 8, mainloop_phase);
+ asm volatile("tcgen05.fence::after_thread_sync;");
+
+ const int cluster_m = tile / grid_n_clusters;
+ const int cluster_n = tile % grid_n_clusters;
+ const int off_m = cluster_m * (BLOCK_M * CTA_GROUP) + cta_rank * BLOCK_M;
+ const int off_n = cluster_n * BLOCK_N;
+
+ const int acc_stage_base = ACC_BASE + mainloop_stage * ACC_STRIDE;
+
+ if (tid < BLOCK_M) {
+ // BLOCK_N=64 for this persistent kernel
+ constexpr int WIDTH = 64;
+ const int tmem_row = cta_rank * 128 + warp_id * 32;
+
+ float acc1[WIDTH], acc2[WIDTH];
+ const int addr1 = taddr + (tmem_row << 16) + (acc_stage_base + ACC1_OFF);
+ const int addr2 = taddr + (tmem_row << 16) + (acc_stage_base + ACC2_OFF);
+ tcgen05_ld_32x32bx64_addr(acc1, addr1);
+ tcgen05_ld_32x32bx64_addr(acc2, addr2);
+ asm volatile("tcgen05.wait::ld.sync.aligned;");
+
+ half* row_ptr = C_ptr + (off_m + tid) * N + off_n;
+
+ #pragma unroll
+ for (int i = 0; i < WIDTH; i += 16) {
+ half2 h0 = silu_mul_h2(acc1[i+0], acc1[i+1], acc2[i+0], acc2[i+1]);
+ half2 h1 = silu_mul_h2(acc1[i+2], acc1[i+3], acc2[i+2], acc2[i+3]);
+ half2 h2 = silu_mul_h2(acc1[i+4], acc1[i+5], acc2[i+4], acc2[i+5]);
+ half2 h3 = silu_mul_h2(acc1[i+6], acc1[i+7], acc2[i+6], acc2[i+7]);
+ half2 h4 = silu_mul_h2(acc1[i+8], acc1[i+9], acc2[i+8], acc2[i+9]);
+ half2 h5 = silu_mul_h2(acc1[i+10], acc1[i+11], acc2[i+10], acc2[i+11]);
+ half2 h6 = silu_mul_h2(acc1[i+12], acc1[i+13], acc2[i+12], acc2[i+13]);
+ half2 h7 = silu_mul_h2(acc1[i+14], acc1[i+15], acc2[i+14], acc2[i+15]);
+
+ const uint32_t u0 = *reinterpret_cast<uint32_t*>(&h0);
+ const uint32_t u1 = *reinterpret_cast<uint32_t*>(&h1);
+ const uint32_t u2 = *reinterpret_cast<uint32_t*>(&h2);
+ const uint32_t u3 = *reinterpret_cast<uint32_t*>(&h3);
+ const uint32_t u4 = *reinterpret_cast<uint32_t*>(&h4);
+ const uint32_t u5 = *reinterpret_cast<uint32_t*>(&h5);
+ const uint32_t u6 = *reinterpret_cast<uint32_t*>(&h6);
+ const uint32_t u7 = *reinterpret_cast<uint32_t*>(&h7);
+
+ const unsigned long long q0 = (unsigned long long)u0 | ((unsigned long long)u1 << 32);
+ const unsigned long long q1 = (unsigned long long)u2 | ((unsigned long long)u3 << 32);
+ const unsigned long long q2 = (unsigned long long)u4 | ((unsigned long long)u5 << 32);
+ const unsigned long long q3 = (unsigned long long)u6 | ((unsigned long long)u7 << 32);
+
+ stg_32b((const void*)(row_ptr + i), q0, q1, q2, q3);
+ }
+ }
+
+ // Signal epilogue completion for this stage to CTA0
+ if (elect_sync()) {
+ const int mbar_addr = (epilogue_mbar_addr + mainloop_stage * 8) & 0xFEFFFFFF;
+ asm volatile("mbarrier.arrive.release.cta.shared::cluster.b64 _, [%0];"
+ :: "r"(mbar_addr) : "memory");
+ }
+
+ // Advance stage
+ mainloop_stage = (mainloop_stage + 1) % 2;
+ if (mainloop_stage == 0) mainloop_phase ^= 1;
+ }
+ }
+
+ // Cluster barrier before deallocation (following reference)
+ asm volatile("barrier.cluster.arrive.release.aligned;");
+ asm volatile("barrier.cluster.wait.acquire.aligned;");
+
+ if (warp_id == 0) {
+ asm volatile("tcgen05.dealloc.cta_group::2.sync.aligned.b32 %0, %1;"
+ :: "r"(taddr), "r"(TOTAL_TMEM_COLS));
+ }
+ }
+
+ // ============================================================================
+ // Non-persistent v6 kernel (baseline) - kept inline for single-file submission
+ // ============================================================================
+
+ template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
+ __global__
+ __cluster_dims__(2, 1, 1)
+ __launch_bounds__(BLOCK_M + 3 * WARP_SIZE)
+ void dual_gemm_cta2_v6_kernel(
+ const __grid_constant__ CUtensorMap A_tmap,
+ const __grid_constant__ CUtensorMap B1_tmap,
+ const __grid_constant__ CUtensorMap B2_tmap,
+ const __grid_constant__ CUtensorMap SFA_tmap,
+ const __grid_constant__ CUtensorMap SFB1_tmap,
+ const __grid_constant__ CUtensorMap SFB2_tmap,
+ half *C_ptr,
+ int M, int N
+ ) {
+ constexpr int CTA_GROUP = 2;
+ constexpr int HALF_BLOCK_N = BLOCK_N / CTA_GROUP;
+ // v6: Add dedicated SF warp (warp 5), so +3 instead of +2
+ constexpr int NUM_WARPS = BLOCK_M / WARP_SIZE + 3; // 4 epilogue + 1 SF + 1 TMA + 1 MMA = 7
+
+ const int tid = threadIdx.x;
+ const int bid = blockIdx.x;
+ const int warp_id = tid / WARP_SIZE;
+
+ int cta_rank;
+ asm volatile("mov.b32 %0, %%cluster_ctarank;" : "=r"(cta_rank));
+
// Grid indexing - M-mode first for cta_group::2
const int cluster_idx = bid / CTA_GROUP;
const int grid_n_clusters = N / BLOCK_N;
⋯ 103 unchanged lines
const int SFB2_smem = SFB1_smem + SFB1_size;
// Scale-factor tensor TMA: report directly into CTA0's stage mbarrier.
- constexpr int SF_TMA_SIZE = SFA_size + SFB1_size + SFB2_size;
+ // Optimization (borrowed from winner-style kernels):
+ // SFB1/SFB2 are 128-column granular in the permuted SF layout and are identical across CTAs
+ // within the 2-CTA cluster for a given (off_n/128, off_k/64). So we only issue SFB loads
+ // once (CTA0) and multicast them to both CTAs. CTA1 only loads its unique SFA.
+ // NOTE: For cp.async.bulk.tensor ... .multicast::cluster, the complete_tx byte count is
+ // the total bytes copied into shared memory across all destinations, i.e. scaled by
+ // popcount(ctaMask). For our 2-CTA cluster (ctaMask=0b11), that's 2x.
+ const int SF_TMA_SIZE = SFA_size + ((cta_rank == 0) ? (CTA_GROUP * (SFB1_size + SFB2_size)) : 0);
asm volatile("mbarrier.arrive.expect_tx.release.cta.shared::cluster.b64 _, [%0], %1;"
:: "r"(mbar_addr), "r"(SF_TMA_SIZE) : "memory");
-
+
// Scale factors via tensor TMA (supports remote mbarrier through cta_group::2).
const int sf_y_A = off_m / 128;
const int sf_y_B = off_n / 128;
const int sf_z = off_k / 64;
tma_3d_gmem2smem<CTA_GROUP>(SFA_smem, &SFA_tmap, 0, sf_y_A, sf_z, mbar_addr, cache_A);
- tma_3d_gmem2smem<CTA_GROUP>(SFB1_smem, &SFB1_tmap, 0, sf_y_B, sf_z, mbar_addr, cache_B);
- tma_3d_gmem2smem<CTA_GROUP>(SFB2_smem, &SFB2_tmap, 0, sf_y_B, sf_z, mbar_addr, cache_B);
+ if (cta_rank == 0) {
+ constexpr uint16_t cta_mask = (1u << CTA_GROUP) - 1u; // 0b11
+ tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB1_smem, &SFB1_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
+ tma_3d_gmem2smem_mcast<CTA_GROUP>(SFB2_smem, &SFB2_tmap, 0, sf_y_B, sf_z, mbar_addr, cta_mask, cache_B);
+ }
tma_stage = (tma_stage + 1) % NUM_STAGES;
if (tma_stage == 0) mma_phase ^= 1;
⋯ 133 unchanged lines
const int addr2 = taddr + (tmem_row << 16) + (ACC2_tmem + n * WIDTH);
// Load with wider TMEM loads
+ // - WIDTH==64 for BLOCK_N=128
+ // - WIDTH==BLOCK_N for BLOCK_N<=64
if constexpr (WIDTH == 64) {
tcgen05_ld_32x32bx64_addr(acc1, addr1);
tcgen05_ld_32x32bx64_addr(acc2, addr2);
⋯ 9 unchanged lines
// 32B stores (16 fp16 at a time).
#pragma unroll
for (int i = 0; i < WIDTH; i += 16) {
- half2 h0 = silu_mul_h2<SILU_MODE>(acc1[i+0], acc1[i+1], acc2[i+0], acc2[i+1]);
- half2 h1 = silu_mul_h2<SILU_MODE>(acc1[i+2], acc1[i+3], acc2[i+2], acc2[i+3]);
- half2 h2 = silu_mul_h2<SILU_MODE>(acc1[i+4], acc1[i+5], acc2[i+4], acc2[i+5]);
- half2 h3 = silu_mul_h2<SILU_MODE>(acc1[i+6], acc1[i+7], acc2[i+6], acc2[i+7]);
- half2 h4 = silu_mul_h2<SILU_MODE>(acc1[i+8], acc1[i+9], acc2[i+8], acc2[i+9]);
- half2 h5 = silu_mul_h2<SILU_MODE>(acc1[i+10], acc1[i+11], acc2[i+10], acc2[i+11]);
- half2 h6 = silu_mul_h2<SILU_MODE>(acc1[i+12], acc1[i+13], acc2[i+12], acc2[i+13]);
- half2 h7 = silu_mul_h2<SILU_MODE>(acc1[i+14], acc1[i+15], acc2[i+14], acc2[i+15]);
-
+ half2 h0 = silu_mul_h2(acc1[i+0], acc1[i+1], acc2[i+0], acc2[i+1]);
+ half2 h1 = silu_mul_h2(acc1[i+2], acc1[i+3], acc2[i+2], acc2[i+3]);
+ half2 h2 = silu_mul_h2(acc1[i+4], acc1[i+5], acc2[i+4], acc2[i+5]);
+ half2 h3 = silu_mul_h2(acc1[i+6], acc1[i+7], acc2[i+6], acc2[i+7]);
+ half2 h4 = silu_mul_h2(acc1[i+8], acc1[i+9], acc2[i+8], acc2[i+9]);
+ half2 h5 = silu_mul_h2(acc1[i+10], acc1[i+11], acc2[i+10], acc2[i+11]);
+ half2 h6 = silu_mul_h2(acc1[i+12], acc1[i+13], acc2[i+12], acc2[i+13]);
+ half2 h7 = silu_mul_h2(acc1[i+14], acc1[i+15], acc2[i+14], acc2[i+15]);
+
const uint32_t u0 = *reinterpret_cast<uint32_t*>(&h0);
const uint32_t u1 = *reinterpret_cast<uint32_t*>(&h1);
const uint32_t u2 = *reinterpret_cast<uint32_t*>(&h2);
⋯ 23 unchanged lines
}
}
+ template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
+ at::Tensor dual_gemm_cta2_v6_launch(
+ const at::Tensor& A,
+ const at::Tensor& B1,
+ const at::Tensor& B2,
+ const at::Tensor& SFA,
+ const at::Tensor& SFB1,
+ const at::Tensor& SFB2,
+ at::Tensor& C
+ ) {
+ constexpr int HALF_BLOCK_N = BLOCK_N / 2;
+
+ const int M = A.size(0);
+ const int N = B1.size(0);
+
+ auto A_ptr = reinterpret_cast<const char *>(A.data_ptr());
+ auto B1_ptr = reinterpret_cast<const char *>(B1.data_ptr());
+ auto B2_ptr = reinterpret_cast<const char *>(B2.data_ptr());
+ auto SFA_ptr = reinterpret_cast<const char *>(SFA.data_ptr());
+ auto SFB1_ptr = reinterpret_cast<const char *>(SFB1.data_ptr());
+ auto SFB2_ptr = reinterpret_cast<const char *>(SFB2.data_ptr());
+ auto C_ptr = reinterpret_cast<half *>(C.data_ptr());
+
+ CUtensorMap A_tmap, B1_tmap, B2_tmap;
+ init_AB_tmap(&A_tmap, A_ptr, M, K, BLOCK_M, BLOCK_K);
+ init_AB_tmap(&B1_tmap, B1_ptr, N, K, HALF_BLOCK_N, BLOCK_K);
+ init_AB_tmap(&B2_tmap, B2_ptr, N, K, HALF_BLOCK_N, BLOCK_K);
+
+ CUtensorMap SFA_tmap, SFB1_tmap, SFB2_tmap;
+ init_SF_tmap(&SFA_tmap, SFA_ptr, M, K, BLOCK_K);
+ init_SF_tmap(&SFB1_tmap, SFB1_ptr, N, K, BLOCK_K);
+ init_SF_tmap(&SFB2_tmap, SFB2_ptr, N, K, BLOCK_K);
+
+ const int num_blocks = (M / BLOCK_M) * (N / BLOCK_N);
+ dim3 grid(num_blocks, 1, 1);
+ int tb_size = BLOCK_M + 3 * WARP_SIZE; // +3 for SF, TMA, MMA warps
+
+ constexpr int A_size_c = BLOCK_M * BLOCK_K / 2;
+ constexpr int B1_size_c = HALF_BLOCK_N * BLOCK_K / 2;
+ constexpr int B2_size_c = HALF_BLOCK_N * BLOCK_K / 2;
+ constexpr int SFA_size_c = 128 * BLOCK_K / 16;
+ constexpr int SFB1_size_c = 128 * BLOCK_K / 16;
+ constexpr int SFB2_size_c = 128 * BLOCK_K / 16;
+ int smem_size = (A_size_c + B1_size_c + B2_size_c + SFA_size_c + SFB1_size_c + SFB2_size_c) * NUM_STAGES;
+
+ auto kernel_fn = dual_gemm_cta2_v6_kernel<K, BLOCK_M, BLOCK_N, BLOCK_K, NUM_STAGES>;
+ if (smem_size > 48000)
+ cudaFuncSetAttribute(kernel_fn, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_size);
+
+ kernel_fn<<<grid, tb_size, smem_size>>>(
+ A_tmap, B1_tmap, B2_tmap, SFA_tmap, SFB1_tmap, SFB2_tmap, C_ptr, M, N
+ );
+
+ return C;
+ }
+
// ============================================================================
// Launch Wrapper
// ============================================================================
- template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES, int SILU_MODE>
- at::Tensor dual_gemm_cta2_launch(
+ template <int K, int BLOCK_M, int BLOCK_N, int BLOCK_K, int NUM_STAGES>
+ at::Tensor dual_gemm_cta2_persistent_launch(
const at::Tensor& A,
const at::Tensor& B1,
const at::Tensor& B2,
⋯ 37 unchanged lines
constexpr int SFB2_size_c = 128 * BLOCK_K / 16;
int smem_size = (A_size_c + B1_size_c + B2_size_c + SFA_size_c + SFB1_size_c + SFB2_size_c) * NUM_STAGES;
- auto kernel_fn = dual_gemm_cta2_kernel<K, BLOCK_M, BLOCK_N, BLOCK_K, NUM_STAGES, SILU_MODE>;
+ auto kernel_fn = dual_gemm_cta2_persistent_kernel<K, BLOCK_M, BLOCK_N, BLOCK_K, NUM_STAGES>;
if (smem_size > 48000)
cudaFuncSetAttribute(kernel_fn, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_size);
- kernel_fn<<<grid, tb_size, smem_size>>>(
+ // Persistent grid tuning:
+ // - Use one cluster per N-tile (up to 74 clusters on B200), so each cluster walks M-tiles for a fixed N.
+ // This makes M=512 (grid_m_clusters=2) naturally give *exactly two tiles per cluster*, enabling
+ // accumulator double-buffer overlap and improving B/SF locality between the two M-tiles.
+ const int grid_m_clusters = M / (BLOCK_M * 2);
+ const int grid_n_clusters = N / BLOCK_N;
+ const int num_tiles = grid_m_clusters * grid_n_clusters;
+ const int max_clusters = 74;
+ int clusters = (grid_n_clusters < max_clusters) ? grid_n_clusters : max_clusters;
+ if (clusters > num_tiles) clusters = num_tiles;
+ if (clusters < 1) clusters = 1;
+ dim3 pgrid(clusters * 2, 1, 1);
+
+ kernel_fn<<<pgrid, tb_size, smem_size>>>(
A_tmap, B1_tmap, B2_tmap, SFA_tmap, SFB1_tmap, SFB2_tmap, C_ptr, M, N
);
⋯ 13 unchanged lines
const int M = A.size(0);
const int N = B1.size(0);
- int silu_mode = 0;
- if (const char* env = std::getenv("NVFP4_SILU_MODE")) silu_mode = std::atoi(env);
+ // Use persistent kernel only for the shape where we expect it to help.
+ // All other cases fall back to the (non-persistent) v6 kernel.
+ if (M == 256 && N == 4096 && K == 7168) {
+ return dual_gemm_cta2_persistent_launch<7168, 128, 64, 256, 7>(A, B1, B2, SFA, SFB1, SFB2, C);
+ }
- #define LAUNCH(K_, BLOCK_M_, BLOCK_N_, BLOCK_K_, NUM_STAGES_, SILU_MODE_) \
- if (K == K_) return dual_gemm_cta2_launch<K_, BLOCK_M_, BLOCK_N_, BLOCK_K_, NUM_STAGES_, SILU_MODE_>( \
- A, B1, B2, SFA, SFB1, SFB2, C);
+ // v6 default path (must work for correctness tests too).
+ TORCH_CHECK((K % 256) == 0, "Unsupported K: ", K, " (expected K divisible by 256)");
- // With MMA_M=256 (cta_group::2), the M=256 case has only 1 cluster in M,
- // so cluster count ~= N / BLOCK_N. Using BLOCK_N=64 increases cluster count vs 128.
+ // v6 tiling policy (simple and consistent):
+ // - For M=256, use BLOCK_N=64 (improves block count / reduces wasted SF duplication).
+ // - For all other M, use BLOCK_N=128 (better for performance and matches original v6 intent).
//
- // IMPORTANT: for M=512, reducing BLOCK_N often hurts (fixed overhead per tile dominates),
- // so we only enable the 64-wide path for M=256.
- bool use_block_n_64 = (M == 256);
- // Optional override for benchmarking: set NVFP4_M256_BLOCK_N to 64 or 128.
- if (M == 256) {
- if (const char* env = std::getenv("NVFP4_M256_BLOCK_N")) {
- const int v = std::atoi(env);
- if (v == 128) use_block_n_64 = false;
- else if (v == 64) use_block_n_64 = true;
- }
- }
+ // Stage policy:
+ // - BLOCK_N=64: NUM_STAGES = min(7, K/256)
+ // - BLOCK_N=128: NUM_STAGES = min(5, K/256)
+ #define LAUNCH_V6_K(KV) do { \
+ if (K == (KV)) { \
+ if (M == 256) { \
+ constexpr int NI = (KV) / 256; \
+ constexpr int STAGES = (NI < 7) ? NI : 7; \
+ return dual_gemm_cta2_v6_launch<(KV), 128, 64, 256, STAGES>(A, B1, B2, SFA, SFB1, SFB2, C); \
+ } else { \
+ constexpr int NI = (KV) / 256; \
+ constexpr int STAGES = (NI < 5) ? NI : 5; \
+ return dual_gemm_cta2_v6_launch<(KV), 128, 128, 256, STAGES>(A, B1, B2, SFA, SFB1, SFB2, C); \
+ } \
+ } \
+ } while (0)
- // Optional M=256 stage override (experiment): set NVFP4_M256_NUM_STAGES=3 to reduce SMEM
- // (attempt to allow 2 CTAs/SM when registers also permit).
- int m256_stage_override = 0;
- if (M == 256) {
- if (const char* env = std::getenv("NVFP4_M256_NUM_STAGES")) {
- m256_stage_override = std::atoi(env);
- }
- }
+ // Support all multiples of 256 up to 7168.
+ LAUNCH_V6_K(256);
+ LAUNCH_V6_K(512);
+ LAUNCH_V6_K(768);
+ LAUNCH_V6_K(1024);
+ LAUNCH_V6_K(1280);
+ LAUNCH_V6_K(1536);
+ LAUNCH_V6_K(1792);
+ LAUNCH_V6_K(2048);
+ LAUNCH_V6_K(2304);
+ LAUNCH_V6_K(2560);
+ LAUNCH_V6_K(2816);
+ LAUNCH_V6_K(3072);
+ LAUNCH_V6_K(3328);
+ LAUNCH_V6_K(3584);
+ LAUNCH_V6_K(3840);
+ LAUNCH_V6_K(4096);
+ LAUNCH_V6_K(4352);
+ LAUNCH_V6_K(4608);
+ LAUNCH_V6_K(4864);
+ LAUNCH_V6_K(5120);
+ LAUNCH_V6_K(5376);
+ LAUNCH_V6_K(5632);
+ LAUNCH_V6_K(5888);
+ LAUNCH_V6_K(6144);
+ LAUNCH_V6_K(6400);
+ LAUNCH_V6_K(6656);
+ LAUNCH_V6_K(6912);
+ LAUNCH_V6_K(7168);
- // Dispatch by SILU_MODE to keep epilogue fast (template specialization).
- if (silu_mode == 0) {
- constexpr int SMODE = 0;
- if (use_block_n_64) {
- if (m256_stage_override == 3) {
- LAUNCH(7168, 128, 64, 256, 3, SMODE)
- LAUNCH(4096, 128, 64, 256, 3, SMODE)
- LAUNCH(3072, 128, 64, 256, 3, SMODE)
- LAUNCH(2304, 128, 64, 256, 3, SMODE)
- LAUNCH(2048, 128, 64, 256, 3, SMODE)
- } else {
- LAUNCH(7168, 128, 64, 256, 7, SMODE)
- LAUNCH(4096, 128, 64, 256, 7, SMODE)
- LAUNCH(3072, 128, 64, 256, 7, SMODE)
- LAUNCH(2304, 128, 64, 256, 7, SMODE)
- LAUNCH(2048, 128, 64, 256, 7, SMODE)
- LAUNCH(1536, 128, 64, 256, 6, SMODE)
- LAUNCH(1024, 128, 64, 256, 4, SMODE)
- LAUNCH(512, 128, 64, 256, 2, SMODE)
- LAUNCH(256, 128, 64, 256, 1, SMODE)
- }
- } else {
- LAUNCH(7168, 128, 128, 256, 5, SMODE)
- LAUNCH(4096, 128, 128, 256, 5, SMODE)
- LAUNCH(3072, 128, 128, 256, 5, SMODE)
- LAUNCH(2304, 128, 128, 256, 5, SMODE)
- LAUNCH(2048, 128, 128, 256, 5, SMODE)
- LAUNCH(1536, 128, 128, 256, 5, SMODE)
- LAUNCH(1024, 128, 128, 256, 4, SMODE)
- LAUNCH(512, 128, 128, 256, 2, SMODE)
- LAUNCH(256, 128, 128, 256, 1, SMODE)
- }
- } else if (silu_mode == 1) {
- constexpr int SMODE = 1;
- if (use_block_n_64) {
- if (m256_stage_override == 3) {
- LAUNCH(7168, 128, 64, 256, 3, SMODE)
- LAUNCH(4096, 128, 64, 256, 3, SMODE)
- LAUNCH(3072, 128, 64, 256, 3, SMODE)
- LAUNCH(2304, 128, 64, 256, 3, SMODE)
- LAUNCH(2048, 128, 64, 256, 3, SMODE)
- } else {
- LAUNCH(7168, 128, 64, 256, 7, SMODE)
- LAUNCH(4096, 128, 64, 256, 7, SMODE)
- LAUNCH(3072, 128, 64, 256, 7, SMODE)
- LAUNCH(2304, 128, 64, 256, 7, SMODE)
- LAUNCH(2048, 128, 64, 256, 7, SMODE)
- LAUNCH(1536, 128, 64, 256, 6, SMODE)
- LAUNCH(1024, 128, 64, 256, 4, SMODE)
- LAUNCH(512, 128, 64, 256, 2, SMODE)
- LAUNCH(256, 128, 64, 256, 1, SMODE)
- }
- } else {
- LAUNCH(7168, 128, 128, 256, 5, SMODE)
- LAUNCH(4096, 128, 128, 256, 5, SMODE)
- LAUNCH(3072, 128, 128, 256, 5, SMODE)
- LAUNCH(2304, 128, 128, 256, 5, SMODE)
- LAUNCH(2048, 128, 128, 256, 5, SMODE)
- LAUNCH(1536, 128, 128, 256, 5, SMODE)
- LAUNCH(1024, 128, 128, 256, 4, SMODE)
- LAUNCH(512, 128, 128, 256, 2, SMODE)
- LAUNCH(256, 128, 128, 256, 1, SMODE)
- }
- } else if (silu_mode == 2) {
- constexpr int SMODE = 2;
- if (use_block_n_64) {
- if (m256_stage_override == 3) {
- LAUNCH(7168, 128, 64, 256, 3, SMODE)
- LAUNCH(4096, 128, 64, 256, 3, SMODE)
- LAUNCH(3072, 128, 64, 256, 3, SMODE)
- LAUNCH(2304, 128, 64, 256, 3, SMODE)
- LAUNCH(2048, 128, 64, 256, 3, SMODE)
- } else {
- LAUNCH(7168, 128, 64, 256, 7, SMODE)
- LAUNCH(4096, 128, 64, 256, 7, SMODE)
- LAUNCH(3072, 128, 64, 256, 7, SMODE)
- LAUNCH(2304, 128, 64, 256, 7, SMODE)
- LAUNCH(2048, 128, 64, 256, 7, SMODE)
- LAUNCH(1536, 128, 64, 256, 6, SMODE)
- LAUNCH(1024, 128, 64, 256, 4, SMODE)
- LAUNCH(512, 128, 64, 256, 2, SMODE)
- LAUNCH(256, 128, 64, 256, 1, SMODE)
- }
- } else {
- LAUNCH(7168, 128, 128, 256, 5, SMODE)
- LAUNCH(4096, 128, 128, 256, 5, SMODE)
- LAUNCH(3072, 128, 128, 256, 5, SMODE)
- LAUNCH(2304, 128, 128, 256, 5, SMODE)
- LAUNCH(2048, 128, 128, 256, 5, SMODE)
- LAUNCH(1536, 128, 128, 256, 5, SMODE)
- LAUNCH(1024, 128, 128, 256, 4, SMODE)
- LAUNCH(512, 128, 128, 256, 2, SMODE)
- LAUNCH(256, 128, 128, 256, 1, SMODE)
- }
- } else if (silu_mode == 3) {
- constexpr int SMODE = 3;
- if (use_block_n_64) {
- if (m256_stage_override == 3) {
- LAUNCH(7168, 128, 64, 256, 3, SMODE)
- LAUNCH(4096, 128, 64, 256, 3, SMODE)
- LAUNCH(3072, 128, 64, 256, 3, SMODE)
- LAUNCH(2304, 128, 64, 256, 3, SMODE)
- LAUNCH(2048, 128, 64, 256, 3, SMODE)
- } else {
- LAUNCH(7168, 128, 64, 256, 7, SMODE)
- LAUNCH(4096, 128, 64, 256, 7, SMODE)
- LAUNCH(3072, 128, 64, 256, 7, SMODE)
- LAUNCH(2304, 128, 64, 256, 7, SMODE)
- LAUNCH(2048, 128, 64, 256, 7, SMODE)
- LAUNCH(1536, 128, 64, 256, 6, SMODE)
- LAUNCH(1024, 128, 64, 256, 4, SMODE)
- LAUNCH(512, 128, 64, 256, 2, SMODE)
- LAUNCH(256, 128, 64, 256, 1, SMODE)
- }
- } else {
- LAUNCH(7168, 128, 128, 256, 5, SMODE)
- LAUNCH(4096, 128, 128, 256, 5, SMODE)
- LAUNCH(3072, 128, 128, 256, 5, SMODE)
- LAUNCH(2304, 128, 128, 256, 5, SMODE)
- LAUNCH(2048, 128, 128, 256, 5, SMODE)
- LAUNCH(1536, 128, 128, 256, 5, SMODE)
- LAUNCH(1024, 128, 128, 256, 4, SMODE)
- LAUNCH(512, 128, 128, 256, 2, SMODE)
- LAUNCH(256, 128, 128, 256, 1, SMODE)
- }
- } else if (silu_mode == 4) {
- constexpr int SMODE = 4;
- if (use_block_n_64) {
- if (m256_stage_override == 3) {
- LAUNCH(7168, 128, 64, 256, 3, SMODE)
- LAUNCH(4096, 128, 64, 256, 3, SMODE)
- LAUNCH(3072, 128, 64, 256, 3, SMODE)
- LAUNCH(2304, 128, 64, 256, 3, SMODE)
- LAUNCH(2048, 128, 64, 256, 3, SMODE)
- } else {
- LAUNCH(7168, 128, 64, 256, 7, SMODE)
- LAUNCH(4096, 128, 64, 256, 7, SMODE)
- LAUNCH(3072, 128, 64, 256, 7, SMODE)
- LAUNCH(2304, 128, 64, 256, 7, SMODE)
- LAUNCH(2048, 128, 64, 256, 7, SMODE)
- LAUNCH(1536, 128, 64, 256, 6, SMODE)
- LAUNCH(1024, 128, 64, 256, 4, SMODE)
- LAUNCH(512, 128, 64, 256, 2, SMODE)
- LAUNCH(256, 128, 64, 256, 1, SMODE)
- }
- } else {
- LAUNCH(7168, 128, 128, 256, 5, SMODE)
- LAUNCH(4096, 128, 128, 256, 5, SMODE)
- LAUNCH(3072, 128, 128, 256, 5, SMODE)
- LAUNCH(2304, 128, 128, 256, 5, SMODE)
- LAUNCH(2048, 128, 128, 256, 5, SMODE)
- LAUNCH(1536, 128, 128, 256, 5, SMODE)
- LAUNCH(1024, 128, 128, 256, 4, SMODE)
- LAUNCH(512, 128, 128, 256, 2, SMODE)
- LAUNCH(256, 128, 128, 256, 1, SMODE)
- }
- } else {
- TORCH_CHECK(false, "Unsupported NVFP4_SILU_MODE: ", silu_mode,
- " (supported: 0=fp32 exp, 1=ex2.approx+rcp.approx+NR, 2=LUT exp2+rcp.approx+NR, 3=ex2.approx+rcp.approx, 4=LUT exp2+rcp.approx)");
- }
+ #undef LAUNCH_V6_K
- #undef LAUNCH
-
- TORCH_CHECK(false, "Unsupported K value: ", K);
+ TORCH_CHECK(false, "Unsupported K value: ", K, " (supported: multiples of 256 in [256, 7168])");
}
- TORCH_LIBRARY(dual_gemm_cta2_v6_module, m) {
+ TORCH_LIBRARY(dual_gemm_cta2_persistent_module, m) {
m.def("dual_gemm(Tensor A, Tensor B1, Tensor B2, Tensor SFA, Tensor SFB1, Tensor SFB2, Tensor(a!) C) -> Tensor");
m.impl("dual_gemm", &dual_gemm);
}
⋯ 5 unchanged lines
global _compiled_module
if _compiled_module is None:
_compiled_module = load_inline(
- "dual_gemm_cta2_v6_cuda",
+ "dual_gemm_cta2_persistent_cuda",
cpp_sources="",
cuda_sources=CUDA_SOURCE,
verbose=True,
⋯ 14 unchanged lines
def custom_kernel(data: input_t) -> output_t:
a, b1, b2, _, _, _, sfa_permuted, sfb1_permuted, sfb2_permuted, c = data
_get_module()
- result = torch.ops.dual_gemm_cta2_v6_module.dual_gemm(
+ return torch.ops.dual_gemm_cta2_persistent_module.dual_gemm(
a, b1, b2, sfa_permuted, sfb1_permuted, sfb2_permuted, c
)
- return result
scrolls · 1128 diff lines total

Best evidence level for this revision: reported

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