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submission 500064

nataliakokoromyti · python · License unknown

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Vendorable · source mirrored · license unknownView source →

No package. Vendor the mirrored source: 1871 lines, June 9 Researcher Reciprocity License v1.0.

submission.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-group-gemm-500064?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 group GEMMsuite of 4 cases
NVIDIA B200
35.9µs
#37 of 145
2026-02-19

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:ff5bd2c942e28233cf7d930d43c665e1dc210498cf7c950651f5cc349dc3b2eb
license declaredunknown
license concludedunknown
authorsnataliakokoromyti
imported2026-08-15

Techniques

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

fp4tiled_mma, # Tiled MMA object defining NVFP4 GEMM compute pattern
fused-epilogueepilogue_warp_count = 4
mbarriertensormap_init_barrier = pipeline.NamedBarrier(
persistent-kernelpersistent_wave_multiplier = 4
shared-memorya_smem_layout_staged: cute.ComposedLayout,
tcgen05acc_cols = tcgen05.find_tmem_tensor_col_offset(tCtAcc_fake)
warp-specializationab_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)

Kernel source

submission.py1871 lines
import cutlass
import cutlass.cute as cute
import cutlass.utils as utils
import cutlass.pipeline as pipeline
from cutlass.cute.nvgpu import cpasync, tcgen05
import cutlass.utils.blackwell_helpers as sm100_utils
import cutlass.utils.blockscaled_layout as blockscaled_utils
from cutlass.cute.runtime import make_ptr

import functools
from typing import Tuple, List

import torch
from task import input_t, output_t

# Kernel configuration parameters
# Size of tma descriptor in bytes
bytes_per_tensormap = 128
# Number of tensormaps: a, b, sfa, sfb
num_tensormaps = 4
max_tensormap_groups = 8
# Tile sizes for M, N, K dimensions
mma_tiler_mnk = (128, 128, 256)
# Shape of the K dimension for the MMA instruction
mma_inst_shape_k = 64
# FP4 data type for A and B
ab_dtype = cutlass.Float4E2M1FN  
# FP8 data type for scale factors
sf_dtype = cutlass.Float8E4M3FN  
# FP16 output type
c_dtype = cutlass.Float16  
# Scale factor block size (16 elements share one scale)
sf_vec_size = 16  
# Number of threads per CUDA thread block
threads_per_cta = 192
epilogue_warp_count = 4
mma_warp_id = 4
tma_warp_id = 5
# Stage numbers of shared memory and tmem
num_acc_stage = 1
num_ab_stage = 2
persistent_wave_multiplier = 4


# Helper function for ceiling division
def ceil_div(a, b):
    return (a + b - 1) // b


def round_tmem_alloc_cols(required_cols: int) -> int:
    """
    TMEM allocator accepts power-of-two column counts that are multiples of 32.
    Valid values are {32, 64, 128, 256, 512}.
    """
    valid_cols = (32, 64, 128, 256, 512)
    need = max(1, int(required_cols))
    for cols in valid_cols:
        if need <= cols:
            return cols
    # Keep previous behavior upper bound when required footprint exceeds valid set.
    return 512


# The CuTe reference implementation for NVFP4 block-scaled GEMM
@cute.kernel
def kernel(
    tiled_mma: cute.TiledMma,
    tma_atom_a: cute.CopyAtom,
    mA_mkl: cute.Tensor,
    tma_atom_b: cute.CopyAtom,
    mB_nkl: cute.Tensor,
    tma_atom_sfa: cute.CopyAtom,
    mSFA_mkl: cute.Tensor,
    tma_atom_sfb: cute.CopyAtom,
    mSFB_nkl: cute.Tensor,
    tensor_of_abc_ptrs: cute.Tensor,
    tensor_of_sfasfb_ptrs: cute.Tensor,
    tensormaps: cute.Tensor,
    tensor_of_problem_sizes: cute.Tensor,
    tensor_of_group_tiles: cute.Tensor,
    a_smem_layout_staged: cute.ComposedLayout,
    b_smem_layout_staged: cute.ComposedLayout,
    sfa_smem_layout_staged: cute.Layout,
    sfb_smem_layout_staged: cute.Layout,
    tensor_of_cta_prefix: cute.Tensor,
    num_groups: cutlass.Constexpr[int],
    num_tma_load_bytes: cutlass.Constexpr[int],
):
    """
    GPU device kernel performing the Group GEMM computation.
    """
    warp_idx = cute.arch.warp_idx()
    warp_idx = cute.arch.make_warp_uniform(warp_idx)
    tidx, _, _ = cute.arch.thread_idx()
    is_epilogue_warp = warp_idx < epilogue_warp_count
    is_mma_warp = warp_idx == mma_warp_id
    is_tma_warp = warp_idx == tma_warp_id

    #
    # Persistent grouped scheduler.
    #
    bidx, _, _ = cute.arch.block_idx()
    grid_dim_x, _, _ = cute.arch.grid_dim()
    total_tiles = tensor_of_cta_prefix[num_groups]
    init_group_idx = cutlass.Int32(0)
    init_group_end = cutlass.Int32(0)
    if bidx < total_tiles:
        tile_probe = bidx
        if cutlass.const_expr(num_groups == 2):
            p1 = tensor_of_cta_prefix[1]
            if tile_probe >= p1:
                init_group_idx = cutlass.Int32(1)
        elif cutlass.const_expr(num_groups == 8):
            p1 = tensor_of_cta_prefix[1]
            p2 = tensor_of_cta_prefix[2]
            p3 = tensor_of_cta_prefix[3]
            p4 = tensor_of_cta_prefix[4]
            p5 = tensor_of_cta_prefix[5]
            p6 = tensor_of_cta_prefix[6]
            p7 = tensor_of_cta_prefix[7]
            if tile_probe < p4:
                if tile_probe < p2:
                    if tile_probe < p1:
                        init_group_idx = cutlass.Int32(0)
                    else:
                        init_group_idx = cutlass.Int32(1)
                else:
                    if tile_probe < p3:
                        init_group_idx = cutlass.Int32(2)
                    else:
                        init_group_idx = cutlass.Int32(3)
            else:
                if tile_probe < p6:
                    if tile_probe < p5:
                        init_group_idx = cutlass.Int32(4)
                    else:
                        init_group_idx = cutlass.Int32(5)
                else:
                    if tile_probe < p7:
                        init_group_idx = cutlass.Int32(6)
                    else:
                        init_group_idx = cutlass.Int32(7)
        else:
            left = cutlass.Int32(0)
            right = num_groups
            while left < right:
                mid = (left + right) // 2
                if tensor_of_cta_prefix[mid + 1] <= tile_probe:
                    left = mid + 1
                else:
                    right = mid
            init_group_idx = left
        init_group_end = tensor_of_cta_prefix[init_group_idx + 1]

    #
    # Define shared storage for kernel
    #
    size_tensormap_in_i64 = (
        num_tensormaps * bytes_per_tensormap // 8
    )
    @cute.struct
    class SharedStorage:
        tensormap_buffer: cute.struct.MemRange[
            cutlass.Int64, size_tensormap_in_i64
        ]
        ab_mbar_ptr: cute.struct.MemRange[cutlass.Int64, num_ab_stage * 2]
        acc_mbar_ptr: cute.struct.MemRange[cutlass.Int64, num_acc_stage * 2]
        tmem_holding_buf: cutlass.Int32
    smem = utils.SmemAllocator()
    storage = smem.allocate(SharedStorage)

    tensormap_smem_ptr = storage.tensormap_buffer.data_ptr()
    tensormap_a_smem_ptr = tensormap_smem_ptr
    tensormap_b_smem_ptr = (
        tensormap_a_smem_ptr
        + bytes_per_tensormap // 8
    )
    tensormap_sfa_smem_ptr = (
        tensormap_b_smem_ptr
        + bytes_per_tensormap // 8
    )
    tensormap_sfb_smem_ptr = (
        tensormap_sfa_smem_ptr
        + bytes_per_tensormap // 8
    )
    # Setup smem tensor for A, B, SFA, SFB
    # (MMA, MMA_M, MMA_K, STAGE)
    sA = smem.allocate_tensor(
        element_type=ab_dtype,
        layout=a_smem_layout_staged.outer,
        byte_alignment=128,
        swizzle=a_smem_layout_staged.inner,
    )
    # (MMA, MMA_N, MMA_K, STAGE)
    sB = smem.allocate_tensor(
        element_type=ab_dtype,
        layout=b_smem_layout_staged.outer,
        byte_alignment=128,
        swizzle=b_smem_layout_staged.inner,
    )
    # (MMA, MMA_M, MMA_K, STAGE)
    sSFA = smem.allocate_tensor(
        element_type=sf_dtype,
        layout=sfa_smem_layout_staged,
        byte_alignment=128,
    )
    # (MMA, MMA_N, MMA_K, STAGE)
    sSFB = smem.allocate_tensor(
        element_type=sf_dtype,
        layout=sfb_smem_layout_staged,
        byte_alignment=128,
    )

    # Initialize mainloop ab_pipeline, acc_pipeline and their states
    ab_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)
    ab_pipeline_consumer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread, 1)
    ab_producer, ab_consumer = pipeline.PipelineTmaUmma.create(
        barrier_storage=storage.ab_mbar_ptr.data_ptr(),
        num_stages=num_ab_stage,
        producer_group=ab_pipeline_producer_group,
        consumer_group=ab_pipeline_consumer_group,
        tx_count=num_tma_load_bytes,
    ).make_participants()
    acc_producer, acc_consumer = pipeline.PipelineUmmaAsync.create(
        barrier_storage=storage.acc_mbar_ptr.data_ptr(),
        num_stages=num_acc_stage,
        producer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread),
        consumer_group=pipeline.CooperativeGroup(
            pipeline.Agent.Thread,
            epilogue_warp_count * 32,
        ),
    ).make_participants()

    #
    # Local_tile partition global tensors
    #
    # (bM, bK, RestM, RestK, RestL)
    gA_mkl = cute.local_tile(
        mA_mkl, cute.slice_(mma_tiler_mnk, (None, 0, None)), (None, None, None)
    )
    # (bN, bK, RestN, RestK, RestL)
    gB_nkl = cute.local_tile(
        mB_nkl, cute.slice_(mma_tiler_mnk, (0, None, None)), (None, None, None)
    )
    # (bM, bK, RestM, RestK, RestL)
    gSFA_mkl = cute.local_tile(
        mSFA_mkl, cute.slice_(mma_tiler_mnk, (None, 0, None)), (None, None, None)
    )
    # (bN, bK, RestN, RestK, RestL)
    gSFB_nkl = cute.local_tile(
        mSFB_nkl, cute.slice_(mma_tiler_mnk, (0, None, None)), (None, None, None)
    )
    #
    # Partition global tensor for TiledMMA_A/B/C
    #
    # The MMA partition domain is 128 threads. For 192-thread CTAs, remap the
    # extra two warps into the valid 0..127 slice range.
    mma_part_slice_idx = tidx
    if mma_part_slice_idx >= epilogue_warp_count * 32:
        mma_part_slice_idx = mma_part_slice_idx - epilogue_warp_count * 32
    thr_mma = tiled_mma.get_slice(mma_part_slice_idx)
    # (MMA, MMA_M, MMA_K, RestM, RestK, RestL)
    tCgA = thr_mma.partition_A(gA_mkl)
    # (MMA, MMA_N, MMA_K, RestN, RestK, RestL)
    tCgB = thr_mma.partition_B(gB_nkl)
    # (MMA, MMA_M, MMA_K, RestM, RestK, RestL)
    tCgSFA = thr_mma.partition_A(gSFA_mkl)
    # (MMA, MMA_N, MMA_K, RestN, RestK, RestL)
    tCgSFB = thr_mma.partition_B(gSFB_nkl)
    # Update tma descriptor with the correct shapes and strides
    tensormap_manager = utils.TensorMapManager(
        utils.TensorMapUpdateMode.GMEM,
        128,
    )
    # Use one descriptor workspace per CTA (indexed by blockIdx.x) and update it
    # as each persistent tile is assigned to this CTA.
    tensormap_workspace_idx = bidx
    tensormap_a_gmem_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormaps[(tensormap_workspace_idx, 0, 0, None)].iterator
    )
    tensormap_b_gmem_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormaps[(tensormap_workspace_idx, 0, 1, None)].iterator
    )
    tensormap_sfa_gmem_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormaps[(tensormap_workspace_idx, 0, 2, None)].iterator
    )
    tensormap_sfb_gmem_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormaps[(tensormap_workspace_idx, 0, 3, None)].iterator
    )
    tensormap_a_desc_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormap_a_gmem_ptr_0, cute.AddressSpace.generic
    )
    tensormap_b_desc_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormap_b_gmem_ptr_0, cute.AddressSpace.generic
    )
    tensormap_sfa_desc_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormap_sfa_gmem_ptr_0, cute.AddressSpace.generic
    )
    tensormap_sfb_desc_ptr_0 = tensormap_manager.get_tensormap_ptr(
        tensormap_sfb_gmem_ptr_0, cute.AddressSpace.generic
    )
    # Active descriptor pointers used by TMA copies in the persistent loop.
    tensormap_a_desc_ptr = tensormap_a_desc_ptr_0
    tensormap_b_desc_ptr = tensormap_b_desc_ptr_0
    tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_0
    tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_0
    tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_0
    tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_0
    tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_0
    tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_0

    if cutlass.const_expr(num_groups >= 2):
        tensormap_a_gmem_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 1, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 1, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 1, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 1, 3, None)].iterator
        )
        tensormap_a_desc_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_1, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_1, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_1, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_1 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_1, cute.AddressSpace.generic
        )

    if cutlass.const_expr(num_groups == 8):
        tensormap_a_gmem_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 2, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 2, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 2, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 2, 3, None)].iterator
        )
        tensormap_a_desc_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_2, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_2, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_2, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_2 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_2, cute.AddressSpace.generic
        )
        tensormap_a_gmem_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 3, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 3, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 3, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 3, 3, None)].iterator
        )
        tensormap_a_desc_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_3, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_3, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_3, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_3 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_3, cute.AddressSpace.generic
        )
        tensormap_a_gmem_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 4, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 4, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 4, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 4, 3, None)].iterator
        )
        tensormap_a_desc_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_4, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_4, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_4, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_4 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_4, cute.AddressSpace.generic
        )
        tensormap_a_gmem_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 5, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 5, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 5, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 5, 3, None)].iterator
        )
        tensormap_a_desc_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_5, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_5, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_5, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_5 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_5, cute.AddressSpace.generic
        )
        tensormap_a_gmem_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 6, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 6, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 6, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 6, 3, None)].iterator
        )
        tensormap_a_desc_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_6, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_6, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_6, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_6 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_6, cute.AddressSpace.generic
        )
        tensormap_a_gmem_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 7, 0, None)].iterator
        )
        tensormap_b_gmem_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 7, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 7, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 7, 3, None)].iterator
        )
        tensormap_a_desc_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormap_a_gmem_ptr_7, cute.AddressSpace.generic
        )
        tensormap_b_desc_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormap_b_gmem_ptr_7, cute.AddressSpace.generic
        )
        tensormap_sfa_desc_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfa_gmem_ptr_7, cute.AddressSpace.generic
        )
        tensormap_sfb_desc_ptr_7 = tensormap_manager.get_tensormap_ptr(
            tensormap_sfb_gmem_ptr_7, cute.AddressSpace.generic
        )
    tensormap_init_barrier = pipeline.NamedBarrier(
        barrier_id=2,
        num_threads=64,
    )

    # Match reference initialization flow: one warp initializes SMEM descriptors,
    # then TMA warp performs dynamic updates for persistent tiles.
    if is_tma_warp or is_mma_warp:
        if is_mma_warp:
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_a, tensormap_a_gmem_ptr_0, mma_warp_id
            )
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_b, tensormap_b_gmem_ptr_0, mma_warp_id
            )
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_sfa, tensormap_sfa_gmem_ptr_0, mma_warp_id
            )
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_sfb, tensormap_sfb_gmem_ptr_0, mma_warp_id
            )
        tensormap_init_barrier.arrive_and_wait()

    #
    # Partition global/shared tensor for TMA load A/B/SFA/SFB
    #
    # TMA Partition_S/D for A
    # ((atom_v, rest_v), STAGE)
    # ((atom_v, rest_v), RestM, RestK, RestL)
    tAsA, tAgA = cpasync.tma_partition(
        tma_atom_a,
        0,
        cute.make_layout(1),
        cute.group_modes(sA, 0, 3),
        cute.group_modes(tCgA, 0, 3),
    )
    # TMA Partition_S/D for B
    # ((atom_v, rest_v), STAGE)
    # ((atom_v, rest_v), RestN, RestK, RestL)
    tBsB, tBgB = cpasync.tma_partition(
        tma_atom_b,
        0,
        cute.make_layout(1),
        cute.group_modes(sB, 0, 3),
        cute.group_modes(tCgB, 0, 3),
    )
    #  TMA Partition_S/D for SFA
    # ((atom_v, rest_v), STAGE)
    # ((atom_v, rest_v), RestM, RestK, RestL)
    tAsSFA, tAgSFA = cpasync.tma_partition(
        tma_atom_sfa,
        0,
        cute.make_layout(1),
        cute.group_modes(sSFA, 0, 3),
        cute.group_modes(tCgSFA, 0, 3),
    )
    tAsSFA = cute.filter_zeros(tAsSFA)
    tAgSFA = cute.filter_zeros(tAgSFA)
    # TMA Partition_S/D for SFB
    # ((atom_v, rest_v), STAGE)
    # ((atom_v, rest_v), RestN, RestK, RestL)
    tBsSFB, tBgSFB = cpasync.tma_partition(
        tma_atom_sfb,
        0,
        cute.make_layout(1),
        cute.group_modes(sSFB, 0, 3),
        cute.group_modes(tCgSFB, 0, 3),
    )
    tBsSFB = cute.filter_zeros(tBsSFB)
    tBgSFB = cute.filter_zeros(tBgSFB)

    #
    # Partition shared/tensor memory tensor for TiledMMA_A/B/C
    #
    # (MMA, MMA_M, MMA_K, STAGE)
    tCrA = tiled_mma.make_fragment_A(sA)
    # (MMA, MMA_N, MMA_K, STAGE)
    tCrB = tiled_mma.make_fragment_B(sB)
    # (MMA, MMA_M, MMA_N)
    acc_shape = tiled_mma.partition_shape_C(mma_tiler_mnk[:2])
    # (MMA, MMA_M, MMA_N)
    tCtAcc_fake = tiled_mma.make_fragment_C(acc_shape)

    # Build SFA/SFB TMEM layouts before allocation so footprint can be computed.
    tCtSFA_layout = blockscaled_utils.make_tmem_layout_sfa(
        tiled_mma,
        mma_tiler_mnk,
        sf_vec_size,
        cute.slice_(sfa_smem_layout_staged, (None, None, None, 0)),
    )
    tCtSFB_layout = blockscaled_utils.make_tmem_layout_sfb(
        tiled_mma,
        mma_tiler_mnk,
        sf_vec_size,
        cute.slice_(sfb_smem_layout_staged, (None, None, None, 0)),
    )

    tCtSFA_fake = cute.make_tensor(
        cute.make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
        tCtSFA_layout,
    )
    tCtSFB_fake = cute.make_tensor(
        cute.make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
        tCtSFB_layout,
    )
    acc_cols = tcgen05.find_tmem_tensor_col_offset(tCtAcc_fake)
    sfa_cols = tcgen05.find_tmem_tensor_col_offset(tCtSFA_fake)
    sfb_cols = tcgen05.find_tmem_tensor_col_offset(tCtSFB_fake)
    total_tmem_cols = acc_cols * num_acc_stage + sfa_cols + sfb_cols
    alloc_tmem_cols = round_tmem_alloc_cols(total_tmem_cols)

    #
    # Alloc tensor memory buffer
    #
    tmem_alloc_barrier = pipeline.NamedBarrier(
        barrier_id=1,
        num_threads=threads_per_cta - 32,
    )
    tmem = utils.TmemAllocator(
        storage.tmem_holding_buf,
        barrier_for_retrieve=tmem_alloc_barrier,
    )
    tmem.allocate(alloc_tmem_cols)
    if not is_tma_warp:
        tmem.wait_for_alloc()
    acc_tmem_base_ptr = tmem.retrieve_ptr(cutlass.Float32)
    tCtAcc_stage0 = cute.make_tensor(acc_tmem_base_ptr, tCtAcc_fake.layout)

    #
    # Make SFA/SFB tmem tensor
    #
    # Get SFA tmem ptr
    sfa_tmem_ptr = cute.recast_ptr(
        acc_tmem_base_ptr + acc_cols * num_acc_stage,
        dtype=sf_dtype,
    )
    tCtSFA = cute.make_tensor(sfa_tmem_ptr, tCtSFA_layout)
    # Get SFB tmem ptr
    sfb_tmem_ptr = cute.recast_ptr(
        acc_tmem_base_ptr
        + acc_cols * num_acc_stage
        + sfa_cols,
        dtype=sf_dtype,
    )
    tCtSFB = cute.make_tensor(sfb_tmem_ptr, tCtSFB_layout)

    #
    # Partition for S2T copy of SFA/SFB
    #
    # Make S2T CopyAtom
    copy_atom_s2t = cute.make_copy_atom(
        tcgen05.Cp4x32x128bOp(tcgen05.CtaGroup.ONE),
        sf_dtype,
    )
    # (MMA, MMA_MN, MMA_K, STAGE)
    tCsSFA_compact = cute.filter_zeros(sSFA)
    tCtSFA_compact = cute.filter_zeros(tCtSFA)
    tiled_copy_s2t_sfa = tcgen05.make_s2t_copy(copy_atom_s2t, tCtSFA_compact)
    thr_copy_s2t_sfa = tiled_copy_s2t_sfa.get_slice(0)
    # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K, STAGE)
    tCsSFA_compact_s2t_ = thr_copy_s2t_sfa.partition_S(tCsSFA_compact)
    # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K, STAGE)
    tCsSFA_compact_s2t = tcgen05.get_s2t_smem_desc_tensor(
        tiled_copy_s2t_sfa, tCsSFA_compact_s2t_
    )
    # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K)
    tCtSFA_compact_s2t = thr_copy_s2t_sfa.partition_D(tCtSFA_compact)

    # (MMA, MMA_MN, MMA_K, STAGE)
    tCsSFB_compact = cute.filter_zeros(sSFB)
    # (MMA, MMA_MN, MMA_K)
    tCtSFB_compact = cute.filter_zeros(tCtSFB)
    tiled_copy_s2t_sfb = tcgen05.make_s2t_copy(copy_atom_s2t, tCtSFB_compact)
    thr_copy_s2t_sfb = tiled_copy_s2t_sfb.get_slice(0)
    # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K, STAGE)
    tCsSFB_compact_s2t_ = thr_copy_s2t_sfb.partition_S(tCsSFB_compact)
    # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K, STAGE)
    tCsSFB_compact_s2t = tcgen05.get_s2t_smem_desc_tensor(
        tiled_copy_s2t_sfb, tCsSFB_compact_s2t_
    )
    # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K)
    tCtSFB_compact_s2t = thr_copy_s2t_sfb.partition_D(tCtSFB_compact)

    num_kblocks = cute.size(tCrA, mode=[2])

    #
    # Persistent producer loop (TMA warp)
    #
    if is_tma_warp and bidx < total_tiles:
        tile_idx = bidx
        prev_group_idx = cutlass.Int32(-1)
        cta_m = cutlass.Int32(0)
        k_tile_cnt = cutlass.Int32(0)
        group_idx = init_group_idx
        group_end = init_group_end
        if cutlass.const_expr(num_groups == 2):
            m0 = tensor_of_problem_sizes[0, 0]
            n0 = tensor_of_problem_sizes[0, 1]
            k0 = tensor_of_problem_sizes[0, 2]
            l0 = tensor_of_problem_sizes[0, 3]
            mA0_iter = cute.make_ptr(
                ab_dtype, tensor_of_abc_ptrs[0, 0], cute.AddressSpace.gmem
            ).align(32)
            mB0_iter = cute.make_ptr(
                ab_dtype, tensor_of_abc_ptrs[0, 1], cute.AddressSpace.gmem
            ).align(32)
            sfa0_iter = cute.make_ptr(
                sf_dtype, tensor_of_sfasfb_ptrs[0, 0], cute.AddressSpace.gmem
            ).align(32)
            sfb0_iter = cute.make_ptr(
                sf_dtype, tensor_of_sfasfb_ptrs[0, 1], cute.AddressSpace.gmem
            ).align(32)
            mA0_layout = cute.make_layout(
                (m0, k0, l0), stride=(cute.assume(k0, 32), 1, cute.assume(m0 * k0, 32),)
            )
            mB0_layout = cute.make_layout(
                (n0, k0, l0), stride=(cute.assume(k0, 32), 1, cute.assume(n0 * k0, 32),)
            )
            sfa0_layout = blockscaled_utils.tile_atom_to_shape_SF(mA0_layout.shape, sf_vec_size)
            sfb0_layout = blockscaled_utils.tile_atom_to_shape_SF(mB0_layout.shape, sf_vec_size)
            real_tensor_a_0 = cute.make_tensor(mA0_iter, mA0_layout)
            real_tensor_b_0 = cute.make_tensor(mB0_iter, mB0_layout)
            real_tensor_sfa_0 = cute.make_tensor(sfa0_iter, sfa0_layout)
            real_tensor_sfb_0 = cute.make_tensor(sfb0_iter, sfb0_layout)

            m1 = tensor_of_problem_sizes[1, 0]
            n1 = tensor_of_problem_sizes[1, 1]
            k1 = tensor_of_problem_sizes[1, 2]
            l1 = tensor_of_problem_sizes[1, 3]
            mA1_iter = cute.make_ptr(
                ab_dtype, tensor_of_abc_ptrs[1, 0], cute.AddressSpace.gmem
            ).align(32)
            mB1_iter = cute.make_ptr(
                ab_dtype, tensor_of_abc_ptrs[1, 1], cute.AddressSpace.gmem
            ).align(32)
            sfa1_iter = cute.make_ptr(
                sf_dtype, tensor_of_sfasfb_ptrs[1, 0], cute.AddressSpace.gmem
            ).align(32)
            sfb1_iter = cute.make_ptr(
                sf_dtype, tensor_of_sfasfb_ptrs[1, 1], cute.AddressSpace.gmem
            ).align(32)
            mA1_layout = cute.make_layout(
                (m1, k1, l1), stride=(cute.assume(k1, 32), 1, cute.assume(m1 * k1, 32),)
            )
            mB1_layout = cute.make_layout(
                (n1, k1, l1), stride=(cute.assume(k1, 32), 1, cute.assume(n1 * k1, 32),)
            )
            sfa1_layout = blockscaled_utils.tile_atom_to_shape_SF(mA1_layout.shape, sf_vec_size)
            sfb1_layout = blockscaled_utils.tile_atom_to_shape_SF(mB1_layout.shape, sf_vec_size)
            real_tensor_a_1 = cute.make_tensor(mA1_iter, mA1_layout)
            real_tensor_b_1 = cute.make_tensor(mB1_iter, mB1_layout)
            real_tensor_sfa_1 = cute.make_tensor(sfa1_iter, sfa1_layout)
            real_tensor_sfb_1 = cute.make_tensor(sfb1_iter, sfb1_layout)
            real_tensor_a = real_tensor_a_0
            real_tensor_b = real_tensor_b_0
            real_tensor_sfa = real_tensor_sfa_0
            real_tensor_sfb = real_tensor_sfb_0
        elif cutlass.const_expr(num_groups == 8):
            m0 = tensor_of_problem_sizes[0, 0]
            n0 = tensor_of_problem_sizes[0, 1]
            k0 = tensor_of_problem_sizes[0, 2]
            l0 = tensor_of_problem_sizes[0, 3]
            mA0_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[0, 0], cute.AddressSpace.gmem).align(32)
            mB0_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[0, 1], cute.AddressSpace.gmem).align(32)
            sfa0_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[0, 0], cute.AddressSpace.gmem).align(32)
            sfb0_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[0, 1], cute.AddressSpace.gmem).align(32)
            mA0_layout = cute.make_layout((m0, k0, l0), stride=(cute.assume(k0, 32), 1, cute.assume(m0 * k0, 32),))
            mB0_layout = cute.make_layout((n0, k0, l0), stride=(cute.assume(k0, 32), 1, cute.assume(n0 * k0, 32),))
            sfa0_layout = blockscaled_utils.tile_atom_to_shape_SF(mA0_layout.shape, sf_vec_size)
            sfb0_layout = blockscaled_utils.tile_atom_to_shape_SF(mB0_layout.shape, sf_vec_size)
            pre_a_0 = cute.make_tensor(mA0_iter, mA0_layout)
            pre_b_0 = cute.make_tensor(mB0_iter, mB0_layout)
            pre_sfa_0 = cute.make_tensor(sfa0_iter, sfa0_layout)
            pre_sfb_0 = cute.make_tensor(sfb0_iter, sfb0_layout)

            m1 = tensor_of_problem_sizes[1, 0]
            n1 = tensor_of_problem_sizes[1, 1]
            k1 = tensor_of_problem_sizes[1, 2]
            l1 = tensor_of_problem_sizes[1, 3]
            mA1_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[1, 0], cute.AddressSpace.gmem).align(32)
            mB1_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[1, 1], cute.AddressSpace.gmem).align(32)
            sfa1_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[1, 0], cute.AddressSpace.gmem).align(32)
            sfb1_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[1, 1], cute.AddressSpace.gmem).align(32)
            mA1_layout = cute.make_layout((m1, k1, l1), stride=(cute.assume(k1, 32), 1, cute.assume(m1 * k1, 32),))
            mB1_layout = cute.make_layout((n1, k1, l1), stride=(cute.assume(k1, 32), 1, cute.assume(n1 * k1, 32),))
            sfa1_layout = blockscaled_utils.tile_atom_to_shape_SF(mA1_layout.shape, sf_vec_size)
            sfb1_layout = blockscaled_utils.tile_atom_to_shape_SF(mB1_layout.shape, sf_vec_size)
            pre_a_1 = cute.make_tensor(mA1_iter, mA1_layout)
            pre_b_1 = cute.make_tensor(mB1_iter, mB1_layout)
            pre_sfa_1 = cute.make_tensor(sfa1_iter, sfa1_layout)
            pre_sfb_1 = cute.make_tensor(sfb1_iter, sfb1_layout)

            m2 = tensor_of_problem_sizes[2, 0]
            n2 = tensor_of_problem_sizes[2, 1]
            k2 = tensor_of_problem_sizes[2, 2]
            l2 = tensor_of_problem_sizes[2, 3]
            mA2_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[2, 0], cute.AddressSpace.gmem).align(32)
            mB2_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[2, 1], cute.AddressSpace.gmem).align(32)
            sfa2_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[2, 0], cute.AddressSpace.gmem).align(32)
            sfb2_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[2, 1], cute.AddressSpace.gmem).align(32)
            mA2_layout = cute.make_layout((m2, k2, l2), stride=(cute.assume(k2, 32), 1, cute.assume(m2 * k2, 32),))
            mB2_layout = cute.make_layout((n2, k2, l2), stride=(cute.assume(k2, 32), 1, cute.assume(n2 * k2, 32),))
            sfa2_layout = blockscaled_utils.tile_atom_to_shape_SF(mA2_layout.shape, sf_vec_size)
            sfb2_layout = blockscaled_utils.tile_atom_to_shape_SF(mB2_layout.shape, sf_vec_size)
            pre_a_2 = cute.make_tensor(mA2_iter, mA2_layout)
            pre_b_2 = cute.make_tensor(mB2_iter, mB2_layout)
            pre_sfa_2 = cute.make_tensor(sfa2_iter, sfa2_layout)
            pre_sfb_2 = cute.make_tensor(sfb2_iter, sfb2_layout)

            m3 = tensor_of_problem_sizes[3, 0]
            n3 = tensor_of_problem_sizes[3, 1]
            k3 = tensor_of_problem_sizes[3, 2]
            l3 = tensor_of_problem_sizes[3, 3]
            mA3_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[3, 0], cute.AddressSpace.gmem).align(32)
            mB3_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[3, 1], cute.AddressSpace.gmem).align(32)
            sfa3_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[3, 0], cute.AddressSpace.gmem).align(32)
            sfb3_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[3, 1], cute.AddressSpace.gmem).align(32)
            mA3_layout = cute.make_layout((m3, k3, l3), stride=(cute.assume(k3, 32), 1, cute.assume(m3 * k3, 32),))
            mB3_layout = cute.make_layout((n3, k3, l3), stride=(cute.assume(k3, 32), 1, cute.assume(n3 * k3, 32),))
            sfa3_layout = blockscaled_utils.tile_atom_to_shape_SF(mA3_layout.shape, sf_vec_size)
            sfb3_layout = blockscaled_utils.tile_atom_to_shape_SF(mB3_layout.shape, sf_vec_size)
            pre_a_3 = cute.make_tensor(mA3_iter, mA3_layout)
            pre_b_3 = cute.make_tensor(mB3_iter, mB3_layout)
            pre_sfa_3 = cute.make_tensor(sfa3_iter, sfa3_layout)
            pre_sfb_3 = cute.make_tensor(sfb3_iter, sfb3_layout)

            m4 = tensor_of_problem_sizes[4, 0]
            n4 = tensor_of_problem_sizes[4, 1]
            k4 = tensor_of_problem_sizes[4, 2]
            l4 = tensor_of_problem_sizes[4, 3]
            mA4_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[4, 0], cute.AddressSpace.gmem).align(32)
            mB4_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[4, 1], cute.AddressSpace.gmem).align(32)
            sfa4_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[4, 0], cute.AddressSpace.gmem).align(32)
            sfb4_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[4, 1], cute.AddressSpace.gmem).align(32)
            mA4_layout = cute.make_layout((m4, k4, l4), stride=(cute.assume(k4, 32), 1, cute.assume(m4 * k4, 32),))
            mB4_layout = cute.make_layout((n4, k4, l4), stride=(cute.assume(k4, 32), 1, cute.assume(n4 * k4, 32),))
            sfa4_layout = blockscaled_utils.tile_atom_to_shape_SF(mA4_layout.shape, sf_vec_size)
            sfb4_layout = blockscaled_utils.tile_atom_to_shape_SF(mB4_layout.shape, sf_vec_size)
            pre_a_4 = cute.make_tensor(mA4_iter, mA4_layout)
            pre_b_4 = cute.make_tensor(mB4_iter, mB4_layout)
            pre_sfa_4 = cute.make_tensor(sfa4_iter, sfa4_layout)
            pre_sfb_4 = cute.make_tensor(sfb4_iter, sfb4_layout)

            m5 = tensor_of_problem_sizes[5, 0]
            n5 = tensor_of_problem_sizes[5, 1]
            k5 = tensor_of_problem_sizes[5, 2]
            l5 = tensor_of_problem_sizes[5, 3]
            mA5_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[5, 0], cute.AddressSpace.gmem).align(32)
            mB5_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[5, 1], cute.AddressSpace.gmem).align(32)
            sfa5_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[5, 0], cute.AddressSpace.gmem).align(32)
            sfb5_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[5, 1], cute.AddressSpace.gmem).align(32)
            mA5_layout = cute.make_layout((m5, k5, l5), stride=(cute.assume(k5, 32), 1, cute.assume(m5 * k5, 32),))
            mB5_layout = cute.make_layout((n5, k5, l5), stride=(cute.assume(k5, 32), 1, cute.assume(n5 * k5, 32),))
            sfa5_layout = blockscaled_utils.tile_atom_to_shape_SF(mA5_layout.shape, sf_vec_size)
            sfb5_layout = blockscaled_utils.tile_atom_to_shape_SF(mB5_layout.shape, sf_vec_size)
            pre_a_5 = cute.make_tensor(mA5_iter, mA5_layout)
            pre_b_5 = cute.make_tensor(mB5_iter, mB5_layout)
            pre_sfa_5 = cute.make_tensor(sfa5_iter, sfa5_layout)
            pre_sfb_5 = cute.make_tensor(sfb5_iter, sfb5_layout)

            m6 = tensor_of_problem_sizes[6, 0]
            n6 = tensor_of_problem_sizes[6, 1]
            k6 = tensor_of_problem_sizes[6, 2]
            l6 = tensor_of_problem_sizes[6, 3]
            mA6_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[6, 0], cute.AddressSpace.gmem).align(32)
            mB6_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[6, 1], cute.AddressSpace.gmem).align(32)
            sfa6_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[6, 0], cute.AddressSpace.gmem).align(32)
            sfb6_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[6, 1], cute.AddressSpace.gmem).align(32)
            mA6_layout = cute.make_layout((m6, k6, l6), stride=(cute.assume(k6, 32), 1, cute.assume(m6 * k6, 32),))
            mB6_layout = cute.make_layout((n6, k6, l6), stride=(cute.assume(k6, 32), 1, cute.assume(n6 * k6, 32),))
            sfa6_layout = blockscaled_utils.tile_atom_to_shape_SF(mA6_layout.shape, sf_vec_size)
            sfb6_layout = blockscaled_utils.tile_atom_to_shape_SF(mB6_layout.shape, sf_vec_size)
            pre_a_6 = cute.make_tensor(mA6_iter, mA6_layout)
            pre_b_6 = cute.make_tensor(mB6_iter, mB6_layout)
            pre_sfa_6 = cute.make_tensor(sfa6_iter, sfa6_layout)
            pre_sfb_6 = cute.make_tensor(sfb6_iter, sfb6_layout)

            m7 = tensor_of_problem_sizes[7, 0]
            n7 = tensor_of_problem_sizes[7, 1]
            k7 = tensor_of_problem_sizes[7, 2]
            l7 = tensor_of_problem_sizes[7, 3]
            mA7_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[7, 0], cute.AddressSpace.gmem).align(32)
            mB7_iter = cute.make_ptr(ab_dtype, tensor_of_abc_ptrs[7, 1], cute.AddressSpace.gmem).align(32)
            sfa7_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[7, 0], cute.AddressSpace.gmem).align(32)
            sfb7_iter = cute.make_ptr(sf_dtype, tensor_of_sfasfb_ptrs[7, 1], cute.AddressSpace.gmem).align(32)
            mA7_layout = cute.make_layout((m7, k7, l7), stride=(cute.assume(k7, 32), 1, cute.assume(m7 * k7, 32),))
            mB7_layout = cute.make_layout((n7, k7, l7), stride=(cute.assume(k7, 32), 1, cute.assume(n7 * k7, 32),))
            sfa7_layout = blockscaled_utils.tile_atom_to_shape_SF(mA7_layout.shape, sf_vec_size)
            sfb7_layout = blockscaled_utils.tile_atom_to_shape_SF(mB7_layout.shape, sf_vec_size)
            pre_a_7 = cute.make_tensor(mA7_iter, mA7_layout)
            pre_b_7 = cute.make_tensor(mB7_iter, mB7_layout)
            pre_sfa_7 = cute.make_tensor(sfa7_iter, sfa7_layout)
            pre_sfb_7 = cute.make_tensor(sfb7_iter, sfb7_layout)

            real_tensor_a = pre_a_0
            real_tensor_b = pre_b_0
            real_tensor_sfa = pre_sfa_0
            real_tensor_sfb = pre_sfb_0
        else:
            m_init = tensor_of_problem_sizes[group_idx, 0]
            n_init = tensor_of_problem_sizes[group_idx, 1]
            k_init = tensor_of_problem_sizes[group_idx, 2]
            l_init = tensor_of_problem_sizes[group_idx, 3]
            mA_init_iter = cute.make_ptr(
                ab_dtype, tensor_of_abc_ptrs[group_idx, 0], cute.AddressSpace.gmem
            ).align(32)
            mB_init_iter = cute.make_ptr(
                ab_dtype, tensor_of_abc_ptrs[group_idx, 1], cute.AddressSpace.gmem
            ).align(32)
            sfa_init_iter = cute.make_ptr(
                sf_dtype, tensor_of_sfasfb_ptrs[group_idx, 0], cute.AddressSpace.gmem
            ).align(32)
            sfb_init_iter = cute.make_ptr(
                sf_dtype, tensor_of_sfasfb_ptrs[group_idx, 1], cute.AddressSpace.gmem
            ).align(32)
            mA_init_layout = cute.make_layout(
                (m_init, k_init, l_init), stride=(cute.assume(k_init, 32), 1, cute.assume(m_init * k_init, 32),)
            )
            mB_init_layout = cute.make_layout(
                (n_init, k_init, l_init), stride=(cute.assume(k_init, 32), 1, cute.assume(n_init * k_init, 32),)
            )
            sfa_init_layout = blockscaled_utils.tile_atom_to_shape_SF(mA_init_layout.shape, sf_vec_size)
            sfb_init_layout = blockscaled_utils.tile_atom_to_shape_SF(mB_init_layout.shape, sf_vec_size)
            real_tensor_a = cute.make_tensor(mA_init_iter, mA_init_layout)
            real_tensor_b = cute.make_tensor(mB_init_iter, mB_init_layout)
            real_tensor_sfa = cute.make_tensor(sfa_init_iter, sfa_init_layout)
            real_tensor_sfb = cute.make_tensor(sfb_init_iter, sfb_init_layout)
        while tile_idx < total_tiles:
            while tile_idx >= group_end:
                group_idx = group_idx + 1
                group_end = tensor_of_cta_prefix[group_idx + 1]
            if group_idx != prev_group_idx:
                cta_m = tensor_of_group_tiles[group_idx, 0]
                k_tile_cnt = tensor_of_group_tiles[group_idx, 1]
                if cutlass.const_expr(num_groups == 2):
                    if group_idx == 0:
                        real_tensor_a = real_tensor_a_0
                        real_tensor_b = real_tensor_b_0
                        real_tensor_sfa = real_tensor_sfa_0
                        real_tensor_sfb = real_tensor_sfb_0
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_0
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_0
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_0
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_0
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_0
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_0
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_0
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_0
                    else:
                        real_tensor_a = real_tensor_a_1
                        real_tensor_b = real_tensor_b_1
                        real_tensor_sfa = real_tensor_sfa_1
                        real_tensor_sfb = real_tensor_sfb_1
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_1
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_1
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_1
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_1
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_1
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_1
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_1
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_1
                elif cutlass.const_expr(num_groups == 8):
                    if group_idx == 0:
                        real_tensor_a = pre_a_0
                        real_tensor_b = pre_b_0
                        real_tensor_sfa = pre_sfa_0
                        real_tensor_sfb = pre_sfb_0
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_0
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_0
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_0
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_0
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_0
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_0
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_0
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_0
                    elif group_idx == 1:
                        real_tensor_a = pre_a_1
                        real_tensor_b = pre_b_1
                        real_tensor_sfa = pre_sfa_1
                        real_tensor_sfb = pre_sfb_1
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_1
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_1
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_1
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_1
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_1
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_1
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_1
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_1
                    elif group_idx == 2:
                        real_tensor_a = pre_a_2
                        real_tensor_b = pre_b_2
                        real_tensor_sfa = pre_sfa_2
                        real_tensor_sfb = pre_sfb_2
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_2
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_2
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_2
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_2
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_2
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_2
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_2
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_2
                    elif group_idx == 3:
                        real_tensor_a = pre_a_3
                        real_tensor_b = pre_b_3
                        real_tensor_sfa = pre_sfa_3
                        real_tensor_sfb = pre_sfb_3
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_3
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_3
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_3
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_3
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_3
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_3
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_3
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_3
                    elif group_idx == 4:
                        real_tensor_a = pre_a_4
                        real_tensor_b = pre_b_4
                        real_tensor_sfa = pre_sfa_4
                        real_tensor_sfb = pre_sfb_4
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_4
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_4
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_4
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_4
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_4
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_4
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_4
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_4
                    elif group_idx == 5:
                        real_tensor_a = pre_a_5
                        real_tensor_b = pre_b_5
                        real_tensor_sfa = pre_sfa_5
                        real_tensor_sfb = pre_sfb_5
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_5
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_5
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_5
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_5
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_5
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_5
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_5
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_5
                    elif group_idx == 6:
                        real_tensor_a = pre_a_6
                        real_tensor_b = pre_b_6
                        real_tensor_sfa = pre_sfa_6
                        real_tensor_sfb = pre_sfb_6
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_6
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_6
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_6
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_6
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_6
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_6
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_6
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_6
                    else:
                        real_tensor_a = pre_a_7
                        real_tensor_b = pre_b_7
                        real_tensor_sfa = pre_sfa_7
                        real_tensor_sfb = pre_sfb_7
                        tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_7
                        tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_7
                        tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_7
                        tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_7
                        tensormap_a_desc_ptr = tensormap_a_desc_ptr_7
                        tensormap_b_desc_ptr = tensormap_b_desc_ptr_7
                        tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_7
                        tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_7
                else:
                    m = tensor_of_problem_sizes[group_idx, 0]
                    n = tensor_of_problem_sizes[group_idx, 1]
                    k = tensor_of_problem_sizes[group_idx, 2]
                    l = tensor_of_problem_sizes[group_idx, 3]
                    mA_mkl_iter = cute.make_ptr(
                        ab_dtype, tensor_of_abc_ptrs[group_idx, 0], cute.AddressSpace.gmem
                    ).align(32)
                    mB_nkl_iter = cute.make_ptr(
                        ab_dtype, tensor_of_abc_ptrs[group_idx, 1], cute.AddressSpace.gmem
                    ).align(32)
                    sfa_mkl_iter = cute.make_ptr(
                        sf_dtype, tensor_of_sfasfb_ptrs[group_idx, 0], cute.AddressSpace.gmem
                    ).align(32)
                    sfb_nkl_iter = cute.make_ptr(
                        sf_dtype, tensor_of_sfasfb_ptrs[group_idx, 1], cute.AddressSpace.gmem
                    ).align(32)
                    mA_mkl_layout = cute.make_layout(
                        (m, k, l), stride=(cute.assume(k, 32), 1, cute.assume(m * k, 32),))
                    mB_nkl_layout = cute.make_layout(
                        (n, k, l), stride=(cute.assume(k, 32), 1, cute.assume(n * k, 32),))
                    sfa_layout = blockscaled_utils.tile_atom_to_shape_SF(
                        mA_mkl_layout.shape, sf_vec_size
                    )
                    sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(
                        mB_nkl_layout.shape, sf_vec_size
                    )
                    real_tensor_a = cute.make_tensor(mA_mkl_iter, mA_mkl_layout)
                    real_tensor_b = cute.make_tensor(mB_nkl_iter, mB_nkl_layout)
                    real_tensor_sfa = cute.make_tensor(sfa_mkl_iter, sfa_layout)
                    real_tensor_sfb = cute.make_tensor(sfb_nkl_iter, sfb_layout)
                    tensormap_a_gmem_ptr = tensormap_a_gmem_ptr_0
                    tensormap_b_gmem_ptr = tensormap_b_gmem_ptr_0
                    tensormap_sfa_gmem_ptr = tensormap_sfa_gmem_ptr_0
                    tensormap_sfb_gmem_ptr = tensormap_sfb_gmem_ptr_0
                    tensormap_a_desc_ptr = tensormap_a_desc_ptr_0
                    tensormap_b_desc_ptr = tensormap_b_desc_ptr_0
                    tensormap_sfa_desc_ptr = tensormap_sfa_desc_ptr_0
                    tensormap_sfb_desc_ptr = tensormap_sfb_desc_ptr_0

                if group_idx != 0:
                    tensormap_manager.init_tensormap_from_atom(
                        tma_atom_a, tensormap_a_gmem_ptr, tma_warp_id
                    )
                    tensormap_manager.init_tensormap_from_atom(
                        tma_atom_b, tensormap_b_gmem_ptr, tma_warp_id
                    )
                    tensormap_manager.init_tensormap_from_atom(
                        tma_atom_sfa, tensormap_sfa_gmem_ptr, tma_warp_id
                    )
                    tensormap_manager.init_tensormap_from_atom(
                        tma_atom_sfb, tensormap_sfb_gmem_ptr, tma_warp_id
                    )
                tensormap_manager.update_tensormap(
                    (
                        real_tensor_a,
                        real_tensor_b,
                        real_tensor_sfa,
                        real_tensor_sfb,
                    ),
                    (tma_atom_a, tma_atom_b, tma_atom_sfa, tma_atom_sfb),
                    (
                        tensormap_a_gmem_ptr,
                        tensormap_b_gmem_ptr,
                        tensormap_sfa_gmem_ptr,
                        tensormap_sfb_gmem_ptr,
                    ),
                    tma_warp_id,
                    (
                        tensormap_a_smem_ptr,
                        tensormap_b_smem_ptr,
                        tensormap_sfa_smem_ptr,
                        tensormap_sfb_smem_ptr,
                    ),
                )
                # Descriptors are updated as a batch; one fence is sufficient.
                tensormap_manager.fence_tensormap_update(tensormap_sfb_gmem_ptr)
                prev_group_idx = group_idx

            cta_rest = tile_idx - tensor_of_cta_prefix[group_idx]
            coord_y = cta_rest // cta_m
            coord_x = cta_rest % cta_m

            tAgA_tile = tAgA[(None, coord_x, None, 0)]
            tBgB_tile = tBgB[(None, coord_y, None, 0)]
            tAgSFA_tile = tAgSFA[(None, coord_x, None, 0)]
            tBgSFB_tile = tBgSFB[(None, coord_y, None, 0)]
            for k_tile in range(k_tile_cnt):
                ab_empty = ab_producer.acquire_and_advance()
                cute.copy(
                    tma_atom_a,
                    tAgA_tile[(None, k_tile)],
                    tAsA[(None, ab_empty.index)],
                    tma_bar_ptr=ab_empty.barrier,
                    tma_desc_ptr=tensormap_a_desc_ptr,
                )
                cute.copy(
                    tma_atom_b,
                    tBgB_tile[(None, k_tile)],
                    tBsB[(None, ab_empty.index)],
                    tma_bar_ptr=ab_empty.barrier,
                    tma_desc_ptr=tensormap_b_desc_ptr,
                )
                cute.copy(
                    tma_atom_sfa,
                    tAgSFA_tile[(None, k_tile)],
                    tAsSFA[(None, ab_empty.index)],
                    tma_bar_ptr=ab_empty.barrier,
                    tma_desc_ptr=tensormap_sfa_desc_ptr,
                )
                cute.copy(
                    tma_atom_sfb,
                    tBgSFB_tile[(None, k_tile)],
                    tBsSFB[(None, ab_empty.index)],
                    tma_bar_ptr=ab_empty.barrier,
                    tma_desc_ptr=tensormap_sfb_desc_ptr,
                )
            tile_idx += grid_dim_x

    #
    # Persistent consumer loop (MMA warp)
    #
    if is_mma_warp and bidx < total_tiles:
        tile_idx = bidx
        prev_group_idx = cutlass.Int32(-1)
        k_tile_cnt = cutlass.Int32(0)
        group_idx = init_group_idx
        group_end = init_group_end
        while tile_idx < total_tiles:
            while tile_idx >= group_end:
                group_idx = group_idx + 1
                group_end = tensor_of_cta_prefix[group_idx + 1]
            if group_idx != prev_group_idx:
                k_tile_cnt = tensor_of_group_tiles[group_idx, 1]
                prev_group_idx = group_idx

            acc_empty = acc_producer.acquire_and_advance()
            stage_idx = acc_empty.index
            if cutlass.const_expr(num_acc_stage == 1):
                tCtAcc = tCtAcc_stage0
            else:
                tCtAcc = cute.make_tensor(
                    acc_tmem_base_ptr + stage_idx * acc_cols,
                    tCtAcc_fake.layout,
                )

            tiled_mma.set(tcgen05.Field.ACCUMULATE, False)
            accumulate_enabled = False
            for k_tile in range(k_tile_cnt):
                ab_full = ab_consumer.wait_and_advance()
                s2t_stage_coord = (None, None, None, None, ab_full.index)
                tCsSFA_compact_s2t_staged = tCsSFA_compact_s2t[s2t_stage_coord]
                tCsSFB_compact_s2t_staged = tCsSFB_compact_s2t[s2t_stage_coord]
                cute.copy(
                    tiled_copy_s2t_sfa,
                    tCsSFA_compact_s2t_staged,
                    tCtSFA_compact_s2t,
                )
                cute.copy(
                    tiled_copy_s2t_sfb,
                    tCsSFB_compact_s2t_staged,
                    tCtSFB_compact_s2t,
                )

                for kblock_idx in cutlass.range(num_kblocks, unroll_full=True):
                    kblock_coord = (
                        None,
                        None,
                        kblock_idx,
                        ab_full.index,
                    )
                    sf_kblock_coord = (None, None, kblock_idx)
                    tiled_mma.set(
                        tcgen05.Field.SFA,
                        tCtSFA[sf_kblock_coord].iterator,
                    )
                    tiled_mma.set(
                        tcgen05.Field.SFB,
                        tCtSFB[sf_kblock_coord].iterator,
                    )
                    cute.gemm(
                        tiled_mma,
                        tCtAcc,
                        tCrA[kblock_coord],
                        tCrB[kblock_coord],
                        tCtAcc,
                    )
                    if not accumulate_enabled:
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, True)
                        accumulate_enabled = True
                ab_full.release()
            acc_empty.commit()
            tile_idx += grid_dim_x

    #
    # Persistent epilogue loop (epilogue warps)
    #
    op = tcgen05.Ld32x32bOp(tcgen05.Repetition.x128, tcgen05.Pack.NONE)
    copy_atom_t2r = cute.make_copy_atom(op, cutlass.Float32)
    epilogue_slice_idx = tidx
    if not is_epilogue_warp:
        epilogue_slice_idx = 0
    simt_atom_128 = cute.make_copy_atom(
        cute.nvgpu.CopyUniversalOp(), c_dtype, num_bits_per_copy=128
    )
    simt_atom = cute.make_copy_atom(
        cute.nvgpu.CopyUniversalOp(), c_dtype, num_bits_per_copy=16
    )
    thread_row = tidx
    if cutlass.const_expr(num_acc_stage == 1):
        tiled_copy_t2r_stage0 = tcgen05.make_tmem_copy(
            copy_atom_t2r, tCtAcc_stage0[None, 0, 0]
        )
        thr_copy_t2r_stage0 = tiled_copy_t2r_stage0.get_slice(epilogue_slice_idx)
        tDtAcc_stage0 = thr_copy_t2r_stage0.partition_S(tCtAcc_stage0[None, 0, 0])

    if is_epilogue_warp and bidx < total_tiles:
        tile_idx = bidx
        prev_group_idx = cutlass.Int32(-1)
        m = cutlass.Int32(0)
        n = cutlass.Int32(0)
        l = cutlass.Int32(0)
        cta_m = cutlass.Int32(0)
        group_idx = init_group_idx
        group_end = init_group_end
        m_init = tensor_of_problem_sizes[group_idx, 0]
        n_init = tensor_of_problem_sizes[group_idx, 1]
        l_init = tensor_of_problem_sizes[group_idx, 3]
        mC_init_iter = cute.make_ptr(
            c_dtype, tensor_of_abc_ptrs[group_idx, 2], cute.AddressSpace.gmem
        ).align(32)
        mC_init_layout = cute.make_layout(
            (m_init, n_init, l_init),
            stride=(cute.assume(n_init, 32), 1, cute.assume(m_init * n_init, 32),))
        mC_mnl = cute.make_tensor(mC_init_iter, mC_init_layout)
        while tile_idx < total_tiles:
            acc_full = acc_consumer.wait_and_advance()
            stage_idx = acc_full.index
            while tile_idx >= group_end:
                group_idx = group_idx + 1
                group_end = tensor_of_cta_prefix[group_idx + 1]
            if group_idx != prev_group_idx:
                m = tensor_of_problem_sizes[group_idx, 0]
                n = tensor_of_problem_sizes[group_idx, 1]
                l = tensor_of_problem_sizes[group_idx, 3]
                cta_m = tensor_of_group_tiles[group_idx, 0]
                mC_mnl_iter = cute.make_ptr(
                    c_dtype, tensor_of_abc_ptrs[group_idx, 2], cute.AddressSpace.gmem
                ).align(32)
                mC_mnl_layout = cute.make_layout(
                    (m, n, l),
                    stride=(cute.assume(n, 32), 1, cute.assume(m * n, 32),))
                mC_mnl = cute.make_tensor(mC_mnl_iter, mC_mnl_layout)
                prev_group_idx = group_idx
            cta_rest = tile_idx - tensor_of_cta_prefix[group_idx]
            coord_y = cta_rest // cta_m
            coord_x = cta_rest % cta_m

            if cutlass.const_expr(num_acc_stage == 1):
                tiled_copy_t2r = tiled_copy_t2r_stage0
                thr_copy_t2r = thr_copy_t2r_stage0
                tDtAcc = tDtAcc_stage0
            else:
                tCtAcc = cute.make_tensor(
                    acc_tmem_base_ptr + stage_idx * acc_cols,
                    tCtAcc_fake.layout,
                )
                tiled_copy_t2r = tcgen05.make_tmem_copy(copy_atom_t2r, tCtAcc[None,0,0])
                thr_copy_t2r = tiled_copy_t2r.get_slice(epilogue_slice_idx)
                tDtAcc = thr_copy_t2r.partition_S(tCtAcc[None,0,0])

            gC_mnl = cute.local_tile(
                mC_mnl, cute.slice_(mma_tiler_mnk, (None, None, 0)), (coord_x, coord_y, 0)
            )
            tCgC = thr_mma.partition_C(gC_mnl)
            tDgC = thr_copy_t2r.partition_D(tCgC[None,0,0])
            tDrAcc = cute.make_rmem_tensor(tDgC.shape, cutlass.Float32)
            tDrC = cute.make_rmem_tensor(tDgC.shape, c_dtype)

            residue_m = mC_mnl.shape[0] - cutlass.Int32(coord_x) * mma_tiler_mnk[0]
            residue_n = mC_mnl.shape[1] - cutlass.Int32(coord_y) * mma_tiler_mnk[1]
            full_m_tile = residue_m >= mma_tiler_mnk[0]
            full_n_tile = residue_n >= mma_tiler_mnk[1]
            row_valid = thread_row < residue_m
            has_output_row = full_m_tile or row_valid

            cute.copy(tiled_copy_t2r, tDtAcc, tDrAcc)
            if has_output_row:
                tDrC.store(tDrAcc.load().to(c_dtype))

            tDrC_flat = cute.flatten(tDrC)
            tDgC_flat = cute.flatten(tDgC)
            if has_output_row and full_n_tile:
                cute.copy(simt_atom_128, tDrC_flat, tDgC_flat)
            elif has_output_row:
                tDpC = cute.make_rmem_tensor(tDrC.shape, cutlass.Boolean)
                for i in cutlass.range(cute.size(tDrC.shape), unroll_full=True):
                    tDpC[i] = i < residue_n
                cute.copy(
                    simt_atom,
                    tDrC_flat,
                    tDgC_flat,
                    pred=cute.flatten(tDpC),
                )
            acc_full.release()
            tile_idx += grid_dim_x

    tmem.relinquish_alloc_permit()
    # Deallocate TMEM
    cute.arch.barrier()
    tmem.free(acc_tmem_base_ptr)
    pass


# Host-side JIT function to prepare tensors and launch GPU kernel.
@cute.jit
def my_kernel(
    ptr_of_tensor_of_problem_sizes: cute.Pointer,
    ptr_of_tensor_of_group_tiles: cute.Pointer,
    ptr_of_tensor_of_abc_ptrs: cute.Pointer,
    ptr_of_tensor_of_sfasfb_ptrs: cute.Pointer,
    ptr_of_tensor_of_cta_prefix: cute.Pointer,
    ptr_of_tensor_of_tensormap: cute.Pointer,
    total_num_clusters: cutlass.Int32,
    persistent_blocks: cutlass.Int32,
    problem_sizes: List[
        Tuple[int, int, int, int]
    ],  # Problem sizes for each group
    num_groups: cutlass.Constexpr[int],
):
    tensor_of_abc_ptrs = cute.make_tensor(
        ptr_of_tensor_of_abc_ptrs, cute.make_layout((num_groups, 3), stride=(3, 1))
    )
    tensor_of_sfasfb_ptrs = cute.make_tensor(
        ptr_of_tensor_of_sfasfb_ptrs, cute.make_layout((num_groups, 2), stride=(2, 1))
    )
    tensor_of_problem_sizes = cute.make_tensor(
        ptr_of_tensor_of_problem_sizes, cute.make_layout((num_groups, 4), stride=(4, 1))
    )
    tensor_of_group_tiles = cute.make_tensor(
        ptr_of_tensor_of_group_tiles, cute.make_layout((num_groups, 2), stride=(2, 1))
    )
    tensor_of_cta_prefix = cute.make_tensor(
        ptr_of_tensor_of_cta_prefix, cute.make_layout((num_groups + 1), stride=(1))
    )
    tensor_of_tensormap = cute.make_tensor(
        ptr_of_tensor_of_tensormap,
        cute.make_layout(
            (persistent_blocks, max_tensormap_groups, num_tensormaps, 16),
            stride=(max_tensormap_groups * num_tensormaps * 16, num_tensormaps * 16, 16, 1),
        ),
    )

    # Use fake shape for initial Tma descriptor and atom setup
    # The real Tma desc and atom will be updated during kernel execution.
    min_a_shape = (cutlass.Int32(64), cutlass.Int32(64), cutlass.Int32(64), cutlass.Int32(1))
    min_b_shape = (cutlass.Int32(64), cutlass.Int32(64), cutlass.Int32(64), cutlass.Int32(1))
    initial_a = cute.make_tensor(
        cute.make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16,),
        cute.make_layout(
            (min_a_shape[0], cute.assume(min_a_shape[2], 32), min_a_shape[3]),
            stride=(
                cute.assume(min_a_shape[2], 32),
                1,
                cute.assume(min_a_shape[0] * min_a_shape[2], 32),
            ),
        ),
    )
    initial_b = cute.make_tensor(
        cute.make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16,),
        cute.make_layout(
            (min_b_shape[1], cute.assume(min_b_shape[2], 32), min_b_shape[3]),
            stride=(
                cute.assume(min_b_shape[2], 32),
                1,
                cute.assume(min_b_shape[1] * min_b_shape[2], 32),
            ),
        ),
    )

    # Setup sfa/sfb tensor by filling A/B tensor to scale factor atom layout
    # ((Atom_M, Rest_M),(Atom_K, Rest_K),RestL)
    sfa_layout = blockscaled_utils.tile_atom_to_shape_SF(
        initial_a.shape, sf_vec_size
    )
    # ((Atom_N, Rest_N),(Atom_K, Rest_K),RestL)
    sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(
        initial_b.shape, sf_vec_size
    )
    # Create initial SFA and SFB tensors with fake shape and null pointer.
    initial_sfa = cute.make_tensor(
        cute.make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=16,), sfa_layout)
    initial_sfb = cute.make_tensor(
        cute.make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=16,), sfb_layout)

    # Select MMA operation
    mma_op = tcgen05.MmaMXF4NVF4Op(
        sf_dtype,
        (mma_tiler_mnk[0], mma_tiler_mnk[1], mma_inst_shape_k),
        tcgen05.CtaGroup.ONE,
        tcgen05.OperandSource.SMEM,
    )
    tiled_mma = cute.make_tiled_mma(mma_op)

    cluster_layout_vmnk = cute.tiled_divide(
        cute.make_layout((1, 1, 1)),
        (tiled_mma.thr_id.shape,),
    )

    # Compute A/B/SFA/SFB/C shared memory layout
    a_smem_layout_staged = sm100_utils.make_smem_layout_a(
        tiled_mma,
        mma_tiler_mnk,
        ab_dtype,
        num_ab_stage,
    )
    b_smem_layout_staged = sm100_utils.make_smem_layout_b(
        tiled_mma,
        mma_tiler_mnk,
        ab_dtype,
        num_ab_stage,
    )
    sfa_smem_layout_staged = blockscaled_utils.make_smem_layout_sfa(
        tiled_mma,
        mma_tiler_mnk,
        sf_vec_size,
        num_ab_stage,
    )
    sfb_smem_layout_staged = blockscaled_utils.make_smem_layout_sfb(
        tiled_mma,
        mma_tiler_mnk,
        sf_vec_size,
        num_ab_stage,
    )
    atom_thr_size = cute.size(tiled_mma.thr_id.shape)

    # Setup TMA for A
    a_smem_layout = cute.slice_(a_smem_layout_staged, (None, None, None, 0))
    tma_atom_a, tma_tensor_a = cute.nvgpu.make_tiled_tma_atom_A(
        cpasync.CopyBulkTensorTileG2SOp(tcgen05.CtaGroup.ONE),
        initial_a,
        a_smem_layout,
        mma_tiler_mnk,
        tiled_mma,
        cluster_layout_vmnk.shape,
    )
    # Setup TMA for B
    b_smem_layout = cute.slice_(b_smem_layout_staged, (None, None, None, 0))
    tma_atom_b, tma_tensor_b = cute.nvgpu.make_tiled_tma_atom_B(
        cpasync.CopyBulkTensorTileG2SOp(tcgen05.CtaGroup.ONE),
        initial_b,
        b_smem_layout,
        mma_tiler_mnk,
        tiled_mma,
        cluster_layout_vmnk.shape,
    )
    # Setup TMA for SFA
    sfa_smem_layout = cute.slice_(
        sfa_smem_layout_staged, (None, None, None, 0)
    )
    tma_atom_sfa, tma_tensor_sfa = cute.nvgpu.make_tiled_tma_atom_A(
        cpasync.CopyBulkTensorTileG2SOp(tcgen05.CtaGroup.ONE),
        initial_sfa,
        sfa_smem_layout,
        mma_tiler_mnk,
        tiled_mma,
        cluster_layout_vmnk.shape,
        internal_type=cutlass.Int16,
    )
    # Setup TMA for SFB
    sfb_smem_layout = cute.slice_(
        sfb_smem_layout_staged, (None, None, None, 0)
    )
    tma_atom_sfb, tma_tensor_sfb = cute.nvgpu.make_tiled_tma_atom_B(
        cpasync.CopyBulkTensorTileG2SOp(tcgen05.CtaGroup.ONE),
        initial_sfb,
        sfb_smem_layout,
        mma_tiler_mnk,
        tiled_mma,
        cluster_layout_vmnk.shape,
        internal_type=cutlass.Int16,
    )

    # Compute TMA load bytes
    a_copy_size = cute.size_in_bytes(ab_dtype, a_smem_layout)
    b_copy_size = cute.size_in_bytes(ab_dtype, b_smem_layout)
    sfa_copy_size = cute.size_in_bytes(sf_dtype, sfa_smem_layout)
    sfb_copy_size = cute.size_in_bytes(sf_dtype, sfb_smem_layout)
    num_tma_load_bytes = (
        a_copy_size + b_copy_size + sfa_copy_size + sfb_copy_size
    ) * atom_thr_size

    # Persistent grouped launch: fewer CTAs than total tiles, each CTA loops tiles.
    grid = (persistent_blocks, 1, 1)

    # Launch the kernel
    kernel(
        # MMA (Matrix Multiply-Accumulate) configuration
        tiled_mma,                  # Tiled MMA object defining NVFP4 GEMM compute pattern
        
        # TMA (Tensor Memory Accelerator) atoms and tensors for input matrix A
        tma_atom_a,                 # TMA copy atom defining how to load A from global memory
        tma_tensor_a,               # Tensor descriptor for A (created from smallest A tensor)
        
        # TMA atoms and tensors for input matrix B
        tma_atom_b,                 # TMA copy atom defining how to load B from global memory
        tma_tensor_b,               # Tensor descriptor for B (created from smallest B tensor)
        
        # TMA atoms and tensors for scale factor A
        tma_atom_sfa,               # TMA copy atom for loading scale factors for A
        tma_tensor_sfa,             # Tensor descriptor for SFA (block scale factors for A)
        
        # TMA atoms and tensors for scale factor B
        tma_atom_sfb,               # TMA copy atom for loading scale factors for B
        tma_tensor_sfb,             # Tensor descriptor for SFB (block scale factors for B)
        
        # Runtime tensor metadata for dynamic group access
        tensor_of_abc_ptrs,         # Device tensor containing pointers to A, B, C for all groups
        tensor_of_sfasfb_ptrs,      # Device tensor containing pointers to SFA, SFB for all groups
        tensor_of_tensormap,        # Pre-allocated buffer for tensormap descriptors per CTA
        tensor_of_problem_sizes,    # Device tensor containing (m, n, k, l) for each group
        tensor_of_group_tiles,      # Device tensor containing per-group (cta_m, k_tile_cnt)
        
        # Shared memory layouts with staging for pipelined execution
        a_smem_layout_staged,       # Staged shared memory layout for A (includes stage dimension)
        b_smem_layout_staged,       # Staged shared memory layout for B (includes stage dimension)
        sfa_smem_layout_staged,     # Staged shared memory layout for SFA (includes stage dimension)
        sfb_smem_layout_staged,     # Staged shared memory layout for SFB (includes stage dimension)
        
        # CTA grid configuration
        tensor_of_cta_prefix,       # Prefix sums over per-group CTA counts
        num_groups,                 # Number of groups in this batch

        # Pipeline synchronization parameter
        num_tma_load_bytes,         # Total bytes to load per TMA transaction (for barrier setup)
    ).launch(
        grid=grid,
        block=[threads_per_cta, 1, 1],
        cluster=(1, 1, 1),
    )
    return


# Global cache for compiled kernels (keyed by group size)
_compiled_kernel_cache = {}
# Runtime metadata cache keyed by exact problem-size tuples.
_runtime_meta_cache = {}
# This function is used to compile the kernel once and cache it and then allow users to 
# run the kernel multiple times to get more accurate timing results.
def compile_kernel(problem_sizes):
    """
    Compile the kernel once and cache it using problem_sizes as the key.
    This should be called before any timing measurements.

    Returns:
        The compiled kernel function
    """
    global _compiled_kernel_cache
    
    # Cache per exact grouped shape set; len-only caching can alias incompatible specializations.
    cache_key = tuple(tuple(int(x) for x in mnkl) for mnkl in problem_sizes)

    # Check if we already have a compiled kernel for these problem sizes
    if cache_key in _compiled_kernel_cache:
        return _compiled_kernel_cache[cache_key]

    cute_ptr_of_tensor_of_problem_sizes = make_ptr(
        cutlass.Int32, 0, cute.AddressSpace.gmem, assumed_align=16,
    )
    cute_ptr_of_tensor_of_group_tiles = make_ptr(
        cutlass.Int32, 0, cute.AddressSpace.gmem, assumed_align=16,
    )
    cute_ptr_of_tensor_of_abc_ptrs = make_ptr(
        cutlass.Int64, 0, cute.AddressSpace.gmem, assumed_align=16,
    )
    cute_ptr_of_tensor_of_sfasfb_ptrs = make_ptr(
        cutlass.Int64, 0, cute.AddressSpace.gmem, assumed_align=16,
    )
    cute_ptr_of_tensor_of_cta_prefix = make_ptr(
        cutlass.Int32, 0, cute.AddressSpace.gmem, assumed_align=16,
    )
    # Fake cluster numbers for compile only.
    total_num_clusters = cutlass.Int32(1)
    persistent_blocks = cutlass.Int32(1)
    num_groups = len(problem_sizes)
    # Each cluster needs its own set of tensormaps (one for A, B, SFA, SFB)
    # Shape: (total_num_clusters, num_tensormaps=4, bytes_per_tensormap/8=16)
    cute_ptr_of_tensor_of_tensormap = make_ptr(
        cutlass.Int64, 0, cute.AddressSpace.gmem, assumed_align=16,
    )
    compiled_func = cute.compile(
        my_kernel,
        cute_ptr_of_tensor_of_problem_sizes,
        cute_ptr_of_tensor_of_group_tiles,
        cute_ptr_of_tensor_of_abc_ptrs,
        cute_ptr_of_tensor_of_sfasfb_ptrs,
        cute_ptr_of_tensor_of_cta_prefix,
        cute_ptr_of_tensor_of_tensormap,
        total_num_clusters,
        persistent_blocks,
        problem_sizes,
        num_groups,
    )
    # Store compiled kernel in cache with problem_sizes as key
    _compiled_kernel_cache[cache_key] = compiled_func
    return compiled_func


def custom_kernel(data: input_t) -> output_t:
    """
    Execute the block-scaled group GEMM kernel.
    
    This is the main entry point called by the evaluation framework.
    It converts PyTorch tensors to CuTe tensors, launches the kernel,
    and returns the result.
    
    Args:
        data: Tuple of (abc_tensors, sfasfb_tensors, problem_sizes) where:
            abc_tensors: list of tuples (a, b, c) where 
                a is torch.Tensor[float4e2m1fn_x2] of shape [m, k // 2, l]
                b is torch.Tensor[float4e2m1fn_x2] of shape [n, k // 2, l]
                c is torch.Tensor[float16] of shape [m, n, l]
            sfasfb_tensors: list of tuples (sfa, sfb) where 
                sfa is torch.Tensor[float8_e4m3fnuz] of shape [m, k // 16, l]
                sfb is torch.Tensor[float8_e4m3fnuz] of shape [n, k // 16, l]
            problem_sizes: list of tuples (m, n, k, l)
            each group has its own a, b, c, sfa, sfb with different m, n, k, l problem sizes
            l should always be 1 for each group.
            list size is the number of groups.
    
    Returns:
        list of c tensors where c is torch.Tensor[float16] of shape [m, n, l] for each group
    """
    abc_tensors, _, sfasfb_reordered_tensors, problem_sizes = data

    global _runtime_meta_cache
    compiled_func = compile_kernel(problem_sizes)

    # Cache shape-derived launch metadata for repeated benchmark invocations.
    runtime_key = tuple(tuple(int(x) for x in mnkl) for mnkl in problem_sizes)
    runtime_meta = _runtime_meta_cache.get(runtime_key)
    if runtime_meta is None:
        tensor_of_problem_sizes = torch.tensor(
            problem_sizes, dtype=torch.int32, device="cuda"
        )
        group_tiles = []
        for m, _, k, _ in problem_sizes:
            group_tiles.append(
                (
                    (m + mma_tiler_mnk[0] - 1) // mma_tiler_mnk[0],
                    (k + mma_tiler_mnk[2] - 1) // mma_tiler_mnk[2],
                )
            )
        tensor_of_group_tiles = torch.tensor(
            group_tiles, dtype=torch.int32, device="cuda"
        )

        cta_tile_shape_mn = [mma_tiler_mnk[0], mma_tiler_mnk[1]]
        cluster_tile_shape_mn = tuple(
            x * y for x, y in zip(cta_tile_shape_mn, (1, 1))
        )

        total_num_clusters = 0
        cta_prefix = [0]
        for m, n, _, _ in problem_sizes:
            num_clusters_mn = tuple(
                (x + y - 1) // y for x, y in zip((m, n), cluster_tile_shape_mn)
            )
            group_clusters = functools.reduce(lambda x, y: x * y, num_clusters_mn)
            total_num_clusters += group_clusters
            cta_prefix.append(total_num_clusters)
        tensor_of_cta_prefix = torch.tensor(cta_prefix, dtype=torch.int32, device="cuda")
        persistent_blocks = min(
            total_num_clusters,
            max(
                1,
                torch.cuda.get_device_properties(
                    torch.cuda.current_device()
                ).multi_processor_count
                * persistent_wave_multiplier,
            ),
        )

        tensormap_shape = (
            persistent_blocks,
            max_tensormap_groups,
            num_tensormaps,
            bytes_per_tensormap // 8,
        )
        tensor_of_tensormap = torch.empty(tensormap_shape, dtype=torch.int64, device="cuda")
        num_groups_local = len(problem_sizes)
        tensor_of_abc_ptrs = torch.empty((num_groups_local, 3), dtype=torch.int64, device="cuda")
        tensor_of_sfasfb_ptrs = torch.empty((num_groups_local, 2), dtype=torch.int64, device="cuda")
        host_abc_ptrs = torch.empty((num_groups_local, 3), dtype=torch.int64, pin_memory=True)
        host_sfasfb_ptrs = torch.empty((num_groups_local, 2), dtype=torch.int64, pin_memory=True)
        runtime_meta = {
            "tensor_of_problem_sizes": tensor_of_problem_sizes,
            "tensor_of_group_tiles": tensor_of_group_tiles,
            "tensor_of_cta_prefix": tensor_of_cta_prefix,
            "tensor_of_tensormap": tensor_of_tensormap,
            "tensor_of_abc_ptrs": tensor_of_abc_ptrs,
            "tensor_of_sfasfb_ptrs": tensor_of_sfasfb_ptrs,
            "host_abc_ptrs": host_abc_ptrs,
            "host_sfasfb_ptrs": host_sfasfb_ptrs,
            "cute_ptr_of_tensor_of_abc_ptrs": make_ptr(
                cutlass.Int64,
                tensor_of_abc_ptrs.data_ptr(),
                cute.AddressSpace.gmem,
                assumed_align=16,
            ),
            "cute_ptr_of_tensor_of_sfasfb_ptrs": make_ptr(
                cutlass.Int64,
                tensor_of_sfasfb_ptrs.data_ptr(),
                cute.AddressSpace.gmem,
                assumed_align=16,
            ),
            "total_num_clusters": total_num_clusters,
            "persistent_blocks": persistent_blocks,
            "num_groups": len(problem_sizes),
            "last_abc_ptrs": [[0, 0, 0] for _ in range(num_groups_local)],
            "last_sfasfb_ptrs": [[0, 0] for _ in range(num_groups_local)],
        }
        _runtime_meta_cache[runtime_key] = runtime_meta
    else:
        tensor_of_problem_sizes = runtime_meta["tensor_of_problem_sizes"]
        tensor_of_group_tiles = runtime_meta["tensor_of_group_tiles"]
        tensor_of_cta_prefix = runtime_meta["tensor_of_cta_prefix"]
        tensor_of_tensormap = runtime_meta["tensor_of_tensormap"]
        tensor_of_abc_ptrs = runtime_meta["tensor_of_abc_ptrs"]
        tensor_of_sfasfb_ptrs = runtime_meta["tensor_of_sfasfb_ptrs"]
        host_abc_ptrs = runtime_meta["host_abc_ptrs"]
        host_sfasfb_ptrs = runtime_meta["host_sfasfb_ptrs"]

    total_num_clusters = runtime_meta["total_num_clusters"]
    persistent_blocks = runtime_meta["persistent_blocks"]
    num_groups = runtime_meta["num_groups"]

    # Avoid rewriting pinned host buffers every invocation; this can race with
    # outstanding async H2D copies in benchmark loops.
    last_abc_ptrs = runtime_meta["last_abc_ptrs"]
    last_sfasfb_ptrs = runtime_meta["last_sfasfb_ptrs"]
    ptrs_changed = False
    for i, ((a, b, c), (sfa_reordered, sfb_reordered), _) in enumerate(
        zip(abc_tensors, sfasfb_reordered_tensors, problem_sizes)
    ):
        a_ptr = a.data_ptr()
        b_ptr = b.data_ptr()
        c_ptr = c.data_ptr()
        sfa_ptr = sfa_reordered.data_ptr()
        sfb_ptr = sfb_reordered.data_ptr()
        if (
            last_abc_ptrs[i][0] != a_ptr
            or last_abc_ptrs[i][1] != b_ptr
            or last_abc_ptrs[i][2] != c_ptr
            or last_sfasfb_ptrs[i][0] != sfa_ptr
            or last_sfasfb_ptrs[i][1] != sfb_ptr
        ):
            ptrs_changed = True
            last_abc_ptrs[i][0] = a_ptr
            last_abc_ptrs[i][1] = b_ptr
            last_abc_ptrs[i][2] = c_ptr
            last_sfasfb_ptrs[i][0] = sfa_ptr
            last_sfasfb_ptrs[i][1] = sfb_ptr

    if ptrs_changed:
        for i in range(num_groups):
            host_abc_ptrs[i, 0] = last_abc_ptrs[i][0]
            host_abc_ptrs[i, 1] = last_abc_ptrs[i][1]
            host_abc_ptrs[i, 2] = last_abc_ptrs[i][2]
            host_sfasfb_ptrs[i, 0] = last_sfasfb_ptrs[i][0]
            host_sfasfb_ptrs[i, 1] = last_sfasfb_ptrs[i][1]
        tensor_of_abc_ptrs.copy_(host_abc_ptrs, non_blocking=True)
        tensor_of_sfasfb_ptrs.copy_(host_sfasfb_ptrs, non_blocking=True)

    # Create CuTe pointers to the metadata tensors that will be passed to the kernel
    # These allow the GPU kernel to read problem sizes and tensor pointers
    cute_ptr_of_tensor_of_abc_ptrs = runtime_meta["cute_ptr_of_tensor_of_abc_ptrs"]
    cute_ptr_of_tensor_of_sfasfb_ptrs = runtime_meta["cute_ptr_of_tensor_of_sfasfb_ptrs"]
    cute_ptr_of_tensor_of_problem_sizes = make_ptr(
        cutlass.Int32,
        tensor_of_problem_sizes.data_ptr(),
        cute.AddressSpace.gmem,
        assumed_align=16,
    )
    cute_ptr_of_tensor_of_group_tiles = make_ptr(
        cutlass.Int32,
        tensor_of_group_tiles.data_ptr(),
        cute.AddressSpace.gmem,
        assumed_align=16,
    )
    cute_ptr_of_tensor_of_cta_prefix = make_ptr(
        cutlass.Int32,
        tensor_of_cta_prefix.data_ptr(),
        cute.AddressSpace.gmem,
        assumed_align=16,
    )
    cute_ptr_of_tensor_of_tensormap = make_ptr(
        cutlass.Int64,
        tensor_of_tensormap.data_ptr(),
        cute.AddressSpace.gmem,
        assumed_align=16,
    )

    # Launch the JIT-compiled GPU kernel with all prepared data
    # The kernel will perform block-scaled group GEMM: C = A * SFA * B * SFB for all groups
    compiled_func(
        cute_ptr_of_tensor_of_problem_sizes, # Pointer to problem sizes array
        cute_ptr_of_tensor_of_group_tiles,   # Pointer to per-group tile metadata
        cute_ptr_of_tensor_of_abc_ptrs,      # Pointer to ABC tensor pointers array
        cute_ptr_of_tensor_of_sfasfb_ptrs,   # Pointer to scale factor pointers array
        cute_ptr_of_tensor_of_cta_prefix,    # Pointer to CTA prefix array
        cute_ptr_of_tensor_of_tensormap,     # Pointer to tensormap buffer
        total_num_clusters,                  # Total number of CTAs to launch
        persistent_blocks,                   # Number of persistent CTAs to launch
        problem_sizes,                       # Problem sizes list (for host-side processing)
    )

    res = []
    for i in range(num_groups):
        res.append(abc_tensors[i][2])
    return res

scrolls · 1871 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 498453.

⋯ diff truncated: revisions differ almost entirely

Best evidence level for this revision: reported

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