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submission 488693

ozamatash · python · License unknown

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No package. Vendor the mirrored source: 2607 lines, June 9 Researcher Reciprocity License v1.0.

submissionv3.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-group-gemm-488693?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
21.5µs
#111 of 310
2026-02-11

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:b5e462740dff92142fa384fc84f9c6fa8df3a22d59e8b6d7b160fd103cb8b3df
license declaredunknown
license concludedunknown
authorsozamatash
imported2026-08-15

Techniques

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

fused-epilogue- Computing epilogue subtile
mbarrierself.epilog_sync_barrier = pipeline.NamedBarrier(
persistent-kernelBesides configurations for dense persistent blockscaled GEMM, there is an extra config specific to grouped blockscaled GEMM:
shared-memoryreserved_smem_bytes = RESERVED_SMEM_BYTES
tcgen05tcgen05.CtaGroup.TWO if self.use_2cta_instrs else tcgen05.CtaGroup.ONE
warp-specializationab_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)

Kernel source

submissionv3.py2607 lines
import subprocess
import sys


def install_package():
    """Install dependencies using pip"""
    try:
        subprocess.check_call(
            [sys.executable, "-m", "pip", "install", "apache-tvm-ffi"]
        )
        subprocess.check_call(
            [sys.executable, "-m", "pip", "install", "nvidia-cutlass-dsl==4.4.0.dev0"]
        )
        return True
    except subprocess.CalledProcessError as e:
        print(f"Error installing package: {e}")
        return False

install_package()

from task import input_t, output_t

import functools
from typing import List, Type, Tuple, Union, Optional
from inspect import isclass

import torch

import cutlass
import cutlass.cute as cute
from cutlass.cute.nvgpu import cpasync, tcgen05
import cutlass.utils as utils
import cutlass.pipeline as pipeline
from cutlass.pipeline import (
    pipeline_init_arrive,
    pipeline_init_wait,
)
import cutlass.utils.blackwell_helpers as sm100_utils
import cutlass.utils.blockscaled_layout as blockscaled_utils


# =============================================================================
# Tunables / configuration knobs
# =============================================================================
SF_VEC_SIZE = 16  # Scale factor vector size for NVF4
MMA_TILER_MN = (128, 128)  # MMA tile shape (M, N)
CLUSTER_SHAPE_MN = (1, 1)  # Cluster shape (M, N) for N multicast
DEFAULT_OCCUPANCY = 1  # Target CTAs per SM
TMEM_ALLOC_COLS = 512  # TMEM columns allocated per CTA
SM_COUNT = 148  # B200 SM count for tensormap storage

# SMEM bookkeeping (tensormap + barriers + tmem mgmt)
RESERVED_SMEM_BYTES = 1024
BYTES_PER_TENSORMAP = 128
NUM_TENSORMAPS = 5
TENSOR_MEMORY_MANAGEMENT_BYTES = 12

# Fixed dtypes for this kernel
AB_DTYPE = cutlass.Float4E2M1FN
SF_DTYPE = cutlass.Float8E4M3FN  # float8_e4m3fnuz for NVF4
C_DTYPE = cutlass.Float16

_CLUSTER_SIZE = CLUSTER_SHAPE_MN[0] * CLUSTER_SHAPE_MN[1]
_MAX_ACTIVE_CLUSTERS = max(1, SM_COUNT // _CLUSTER_SIZE)

MAX_M = 512
MAX_N = 7168
MAX_K = 7168


class Sm100GroupedBlockScaledGemmKernel:
    # Size of smem we reserved for mbarrier, tensor memory management and tensormap update
    reserved_smem_bytes = RESERVED_SMEM_BYTES
    bytes_per_tensormap = BYTES_PER_TENSORMAP
    num_tensormaps = NUM_TENSORMAPS
    # size of smem used for tensor memory management
    tensor_memory_management_bytes = TENSOR_MEMORY_MANAGEMENT_BYTES

    def __init__(
        self,
        sf_vec_size: int,
        mma_tiler_mn: Tuple[int, int],
        cluster_shape_mn: Tuple[int, int],
    ):
        """Initializes the configuration for a Blackwell grouped blockscaled GEMM kernel.

        Besides configurations for dense persistent blockscaled GEMM, there is an extra config specific to grouped blockscaled GEMM:

        :param sf_vec_size: Scalefactor vector size.
        :type sf_vec_size: int
        :param mma_tiler_mn: tuple (M, N) shape of the MMA instruction.
        :type mma_tiler_mn: tuple[int, int]
        :param cluster_shape_mn: tuple (ClusterM, ClusterN) shape of the cluster.
        :type cluster_shape_mn: tuple[int, int]
        """
        self.acc_dtype = cutlass.Float32
        self.sf_vec_size = sf_vec_size
        self.use_2cta_instrs = mma_tiler_mn[0] == 256
        self.cluster_shape_mn = cluster_shape_mn
        # K dimension is deferred in _setup_attributes
        self.mma_tiler = (*mma_tiler_mn, 1)

        self.cta_group = (
            tcgen05.CtaGroup.TWO if self.use_2cta_instrs else tcgen05.CtaGroup.ONE
        )

        self.tensormap_update_mode = utils.TensorMapUpdateMode.SMEM

        self.occupancy = DEFAULT_OCCUPANCY
        # Set specialized warp ids
        self.epilog_warp_id = (
            0,
            1,
            2,
            3,
        )
        self.mma_warp_id = 4
        self.tma_warp_id = 5
        self.sched_warp_id = 6
        self.threads_per_cta = 32 * len(
            (self.mma_warp_id, self.tma_warp_id, *self.epilog_warp_id, self.sched_warp_id)
        )
        # Set barrier for epilogue sync and tmem ptr sync
        self.epilog_sync_barrier = pipeline.NamedBarrier(
            barrier_id=1,
            num_threads=32 * len(self.epilog_warp_id),
        )
        self.tmem_alloc_barrier = pipeline.NamedBarrier(
            barrier_id=2,
            num_threads=32 * len((self.mma_warp_id, *self.epilog_warp_id)),
        )
        # Barrier used by MMA/TMA warps to signal A/B tensormap initialization completion
        self.tensormap_ab_init_barrier = pipeline.NamedBarrier(
            barrier_id=3,
            num_threads=64,
        )
        self.smem_capacity = utils.get_smem_capacity_in_bytes("sm_100")
        self.num_tmem_alloc_cols = TMEM_ALLOC_COLS

    # Set up configurations that dependent on gemm inputs.
    def _setup_attributes(self):
        """Set up configurations that are dependent on GEMM inputs

        This method configures various attributes based on the input tensor properties
        (data types, leading dimensions) and kernel settings:
        - Configuring tiled MMA
        - Computing MMA/cluster/tile shapes
        - Computing cluster layout
        - Computing multicast CTAs for A/B/SFA/SFB
        - Computing epilogue subtile
        - Setting up A/B/SFA/SFB/C stage counts in shared memory
        - Computing A/B/SFA/SFB/C shared memory layout
        - Checking reserved smem bytes size capacity for mbar, tensor memory management and tensormap updates utilization
        """
        # Compute mma instruction shapes
        # (MMA_Tile_Shape_M, MMA_Tile_Shape_N, MMA_Inst_Shape_K)
        self.mma_inst_shape_mn = (
            self.mma_tiler[0],
            self.mma_tiler[1],
        )
        # (CTA_Tile_Shape_M, Round_Up(MMA_Tile_Shape_N, 128), MMA_Inst_Shape_K)
        self.mma_inst_shape_mn_sfb = (
            self.mma_inst_shape_mn[0] // (2 if self.use_2cta_instrs else 1),
            cute.round_up(self.mma_inst_shape_mn[1], 128),
        )

        tiled_mma = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.a_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            self.cta_group,
            self.mma_inst_shape_mn,
        )

        tiled_mma_sfb = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.a_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            cute.nvgpu.tcgen05.CtaGroup.ONE,
            self.mma_inst_shape_mn_sfb,
        )

        # Compute mma/cluster/tile shapes
        mma_inst_shape_k = cute.size(tiled_mma.shape_mnk, mode=[2])
        mma_inst_tile_k = 4
        self.mma_tiler = (
            self.mma_inst_shape_mn[0],
            self.mma_inst_shape_mn[1],
            mma_inst_shape_k * mma_inst_tile_k,
        )
        self.mma_tiler_sfb = (
            self.mma_inst_shape_mn_sfb[0],
            self.mma_inst_shape_mn_sfb[1],
            mma_inst_shape_k * mma_inst_tile_k,
        )
        self.cta_tile_shape_mnk = (
            self.mma_tiler[0] // cute.size(tiled_mma.thr_id.shape),
            self.mma_tiler[1],
            self.mma_tiler[2],
        )
        self.cluster_tile_shape_mnk = tuple(
            x * y for x, y in zip(self.cta_tile_shape_mnk, (*self.cluster_shape_mn, 1))
        )

        # Compute cluster layout
        self.cluster_layout_vmnk = cute.tiled_divide(
            cute.make_layout((*self.cluster_shape_mn, 1)),
            (tiled_mma.thr_id.shape,),
        )
        self.cluster_layout_sfb_vmnk = cute.tiled_divide(
            cute.make_layout((*self.cluster_shape_mn, 1)),
            (tiled_mma_sfb.thr_id.shape,),
        )

        self.num_clc_stage = 1

        # Compute number of multicast CTAs for A/B
        self.num_mcast_ctas_a = cute.size(self.cluster_layout_vmnk.shape[2])
        self.num_mcast_ctas_b = cute.size(self.cluster_layout_vmnk.shape[1])
        self.num_mcast_ctas_sfb = cute.size(self.cluster_layout_sfb_vmnk.shape[1])
        self.is_a_mcast = self.num_mcast_ctas_a > 1
        self.is_b_mcast = self.num_mcast_ctas_b > 1
        self.is_sfb_mcast = self.num_mcast_ctas_sfb > 1

        # Compute epilogue subtile
        self.epi_tile = sm100_utils.compute_epilogue_tile_shape(
            self.cta_tile_shape_mnk,
            self.use_2cta_instrs,
            self.c_layout,
            self.c_dtype,
        )

        # Setup A/B/C stage count in shared memory and ACC stage count in tensor memory
        self.num_acc_stage, self.num_ab_stage, self.num_c_stage = self._compute_stages(
            tiled_mma,
            self.mma_tiler,
            self.a_dtype,
            self.b_dtype,
            self.epi_tile,
            self.c_dtype,
            self.c_layout,
            self.sf_dtype,
            self.sf_vec_size,
            self.smem_capacity,
            self.occupancy,
        )

        # Compute A/B/SFA/SFB/C shared memory layout
        self.a_smem_layout_staged = sm100_utils.make_smem_layout_a(
            tiled_mma,
            self.mma_tiler,
            self.a_dtype,
            self.num_ab_stage,
        )
        self.b_smem_layout_staged = sm100_utils.make_smem_layout_b(
            tiled_mma,
            self.mma_tiler,
            self.b_dtype,
            self.num_ab_stage,
        )
        self.sfa_smem_layout_staged = blockscaled_utils.make_smem_layout_sfa(
            tiled_mma,
            self.mma_tiler,
            self.sf_vec_size,
            self.num_ab_stage,
        )
        self.sfb_smem_layout_staged = blockscaled_utils.make_smem_layout_sfb(
            tiled_mma,
            self.mma_tiler,
            self.sf_vec_size,
            self.num_ab_stage,
        )
        self.c_smem_layout_staged = sm100_utils.make_smem_layout_epi(
            self.c_dtype,
            self.c_layout,
            self.epi_tile,
            self.num_c_stage,
        )

        mbar_smem_bytes = self._get_mbar_smem_bytes(
            num_acc_stage=self.num_acc_stage,
            num_ab_stage=self.num_ab_stage,
            num_c_stage=self.num_c_stage,
        )

        # Use utils.TensorMapUpdateMode.SMEM by default
        tensormap_smem_bytes = (
            Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap
            * Sm100GroupedBlockScaledGemmKernel.num_tensormaps
        )
        if (
            mbar_smem_bytes
            + tensormap_smem_bytes
            + Sm100GroupedBlockScaledGemmKernel.tensor_memory_management_bytes
            > self.reserved_smem_bytes
        ):
            raise ValueError(
                f"smem consumption for mbar and tensormap {mbar_smem_bytes + tensormap_smem_bytes} exceeds the "
                f"reserved smem bytes {self.reserved_smem_bytes}"
            )

    @cute.jit
    def __call__(
        self,
        group_count: cutlass.Constexpr[int],
        problem_sizes_mnkl: cute.Tensor,
        strides_abc: cute.Tensor,
        ptrs_abc: cute.Tensor,
        ptrs_sfasfb: cute.Tensor,
        tensormap_cute_tensor: cute.Tensor,
        total_num_clusters: cutlass.Int32,
        max_active_clusters: cutlass.Constexpr[int],
    ):
        """Execute the GEMM operation in steps:
        - Setup static attributes before smem/grid/tma computation
        - Setup TMA load/store atoms and tensors
        - Compute grid size with regard to hardware constraints
        - Define shared storage for kernel
        - Launch the kernel synchronously

        For grouped GEMM, tensor shapes, tensor strides, and tensor address are all provided
        by different tensors in global memory. The "initial" tensors only carry data type and
        majorness information.

        :param problem_sizes_mnkl: (M, N, K, L) shape array for each group.
        :type problem_sizes_mnkl: cute.Tensor
        :param strides_abc: Strides for A, B, C for each group.
        :type strides_abc: cute.Tensor
        :param ptrs_abc: Base addresses for A, B, C for each group.
        :type ptrs_abc: cute.Tensor
        :param ptrs_sfasfb: Base addresses for SFA and SFB for each group.
        :type ptrs_sfasfb: cute.Tensor
        :param tensormap_cute_tensor: Tensormap storage tensor.
        :type tensormap_cute_tensor: cute.Tensor
        :param total_num_clusters: Total number of clusters needed for all groups.
        :type total_num_clusters: cutlass.Int32
        :param max_active_clusters: Maximum number of active clusters.
        :type max_active_clusters: cutlass.Constexpr[int]
        :raises TypeError: If A and B data types do not match.
        """
        self.a_dtype = AB_DTYPE
        self.b_dtype = AB_DTYPE
        self.sf_dtype = SF_DTYPE
        self.c_dtype = C_DTYPE
        self.a_major_mode = tcgen05.OperandMajorMode.K
        self.b_major_mode = tcgen05.OperandMajorMode.K
        self.c_layout = utils.LayoutEnum.ROW_MAJOR
        if cutlass.const_expr(self.a_dtype != self.b_dtype):
            raise TypeError(f"Type mismatch: {self.a_dtype} != {self.b_dtype}")

        # Setup attributes that dependent on gemm inputs
        self._setup_attributes()

        # Use provided metadata tensors (TVM FFI)
        problem_shape_mnkl = problem_sizes_mnkl
        tensor_address_abc = ptrs_abc
        tensor_address_sfasfb = ptrs_sfasfb
        tensormap_cute_tensor = cute.make_tensor(
            tensormap_cute_tensor.iterator,
            cute.make_layout(
                (total_num_clusters, self.num_tensormaps, 16),
                stride=(self.num_tensormaps * 16, 16, 1),
            ),
        )

        # Create template tensors for TMA setup (max shapes)
        max_m = cutlass.Int32(MAX_M)
        max_n = cutlass.Int32(MAX_N)
        max_k = cutlass.Int32(MAX_K)
        c1 = cutlass.Int32(1)

        initial_a = cute.make_tensor(
            cute.make_ptr(self.a_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
            cute.make_layout(
                (max_m, max_k, c1),
                stride=(max_k, 1, max_m * max_k),
            ),
        )
        initial_b = cute.make_tensor(
            cute.make_ptr(self.b_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
            cute.make_layout(
                (max_n, max_k, c1),
                stride=(max_k, 1, max_n * max_k),
            ),
        )
        initial_c = cute.make_tensor(
            cute.make_ptr(self.c_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
            cute.make_layout(
                (max_m, max_n, c1),
                stride=(max_n, 1, max_m * max_n),
            ),
        )
        initial_sfa = cute.make_tensor(
            cute.make_ptr(self.sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
            cute.make_layout(
                (max_m, max_k, c1),
                stride=(max_k, 1, max_m * max_k),
            ),
        )
        initial_sfb = cute.make_tensor(
            cute.make_ptr(self.sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=16),
            cute.make_layout(
                (max_n, max_k, c1),
                stride=(max_k, 1, max_n * max_k),
            ),
        )

        # 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, self.sf_vec_size
        )
        initial_sfa = cute.make_tensor(initial_sfa.iterator, sfa_layout)

        # ((Atom_N, Rest_N),(Atom_K, Rest_K),RestL)
        sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(
            initial_b.shape, self.sf_vec_size
        )
        initial_sfb = cute.make_tensor(initial_sfb.iterator, sfb_layout)

        tiled_mma = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.a_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            self.cta_group,
            self.mma_inst_shape_mn,
        )

        tiled_mma_sfb = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.a_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            cute.nvgpu.tcgen05.CtaGroup.ONE,
            self.mma_inst_shape_mn_sfb,
        )
        atom_thr_size = cute.size(tiled_mma.thr_id.shape)

        # Setup TMA load for A
        a_op = sm100_utils.cluster_shape_to_tma_atom_A(
            self.cluster_shape_mn, tiled_mma.thr_id
        )
        a_smem_layout = cute.slice_(self.a_smem_layout_staged, (None, None, None, 0))
        tma_atom_a, tma_tensor_a = cute.nvgpu.make_tiled_tma_atom_A(
            a_op,
            initial_a,
            a_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )

        # Setup TMA load for B
        b_op = sm100_utils.cluster_shape_to_tma_atom_B(
            self.cluster_shape_mn, tiled_mma.thr_id
        )
        b_smem_layout = cute.slice_(self.b_smem_layout_staged, (None, None, None, 0))
        tma_atom_b, tma_tensor_b = cute.nvgpu.make_tiled_tma_atom_B(
            b_op,
            initial_b,
            b_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )

        # Setup TMA load for SFA
        sfa_op = sm100_utils.cluster_shape_to_tma_atom_A(
            self.cluster_shape_mn, tiled_mma.thr_id
        )
        sfa_smem_layout = cute.slice_(
            self.sfa_smem_layout_staged, (None, None, None, 0)
        )
        tma_atom_sfa, tma_tensor_sfa = cute.nvgpu.make_tiled_tma_atom_A(
            sfa_op,
            initial_sfa,
            sfa_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
            internal_type=cutlass.Int16,
        )

        # Setup TMA load for SFB
        sfb_op = sm100_utils.cluster_shape_to_tma_atom_SFB(
            self.cluster_shape_mn, tiled_mma.thr_id
        )
        sfb_smem_layout = cute.slice_(
            self.sfb_smem_layout_staged, (None, None, None, 0)
        )
        tma_atom_sfb, tma_tensor_sfb = cute.nvgpu.make_tiled_tma_atom_B(
            sfb_op,
            initial_sfb,
            sfb_smem_layout,
            self.mma_tiler_sfb,
            tiled_mma_sfb,
            self.cluster_layout_sfb_vmnk.shape,
            internal_type=cutlass.Int16,
        )

        a_copy_size = cute.size_in_bytes(self.a_dtype, a_smem_layout)
        b_copy_size = cute.size_in_bytes(self.b_dtype, b_smem_layout)
        sfa_copy_size = cute.size_in_bytes(self.sf_dtype, sfa_smem_layout)
        sfb_copy_size = cute.size_in_bytes(self.sf_dtype, sfb_smem_layout)
        self.num_tma_load_bytes = (
            a_copy_size + b_copy_size + sfa_copy_size + sfb_copy_size
        ) * atom_thr_size

        # Setup TMA store for C
        epi_smem_layout = cute.slice_(self.c_smem_layout_staged, (None, None, 0))
        tma_atom_c, tma_tensor_c = cpasync.make_tiled_tma_atom(
            cpasync.CopyBulkTensorTileS2GOp(),
            initial_c,
            epi_smem_layout,
            self.epi_tile,
        )

        # Compute grid size
        self.tile_sched_params, grid = self._compute_grid(
            total_num_clusters, self.cluster_shape_mn
        )
        # Response size is 4B * 4 elements
        self.num_clc_response_bytes = 16

        self.buffer_align_bytes = 1024
        self.size_tensormap_in_i64 = (
            Sm100GroupedBlockScaledGemmKernel.num_tensormaps
            * Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap
            // 8
        )

        # Define shared storage for kernel
        @cute.struct
        class SharedStorage:
            tensormap_buffer: cute.struct.MemRange[
                cutlass.Int64, self.size_tensormap_in_i64
            ]
            clc_response_ptr: cute.struct.MemRange[cutlass.Int32, 1]
            clc_ptr: cute.struct.MemRange[cutlass.Int64, self.num_clc_stage * 2]
            ab_full_mbar_ptr: cute.struct.MemRange[cutlass.Int64, self.num_ab_stage]
            ab_empty_mbar_ptr: cute.struct.MemRange[cutlass.Int64, self.num_ab_stage]
            acc_full_mbar_ptr: cute.struct.MemRange[cutlass.Int64, self.num_acc_stage]
            acc_empty_mbar_ptr: cute.struct.MemRange[cutlass.Int64, self.num_acc_stage]
            tmem_dealloc_mbar_ptr: cutlass.Int64
            tmem_holding_buf: cutlass.Int32
            # (EPI_TILE_M, EPI_TILE_N, STAGE)
            sC: cute.struct.Align[
                cute.struct.MemRange[
                    self.c_dtype,
                    cute.cosize(self.c_smem_layout_staged.outer),
                ],
                self.buffer_align_bytes,
            ]
            # (MMA, MMA_M, MMA_K, STAGE)
            sA: cute.struct.Align[
                cute.struct.MemRange[
                    self.a_dtype, cute.cosize(self.a_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            # (MMA, MMA_N, MMA_K, STAGE)
            sB: cute.struct.Align[
                cute.struct.MemRange[
                    self.b_dtype, cute.cosize(self.b_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            # (MMA, MMA_M, MMA_K, STAGE)
            sSFA: cute.struct.Align[
                cute.struct.MemRange[
                    self.sf_dtype, cute.cosize(self.sfa_smem_layout_staged)
                ],
                self.buffer_align_bytes,
            ]
            # (MMA, MMA_N, MMA_K, STAGE)
            sSFB: cute.struct.Align[
                cute.struct.MemRange[
                    self.sf_dtype, cute.cosize(self.sfb_smem_layout_staged)
                ],
                self.buffer_align_bytes,
            ]

        self.shared_storage = SharedStorage

        # Launch the kernel synchronously
        self.kernel(
            tiled_mma,
            tiled_mma_sfb,
            tma_atom_a,
            tma_tensor_a,
            tma_atom_b,
            tma_tensor_b,
            tma_atom_sfa,
            tma_tensor_sfa,
            tma_atom_sfb,
            tma_tensor_sfb,
            tma_atom_c,
            tma_tensor_c,
            self.cluster_layout_vmnk,
            self.cluster_layout_sfb_vmnk,
            self.a_smem_layout_staged,
            self.b_smem_layout_staged,
            self.sfa_smem_layout_staged,
            self.sfb_smem_layout_staged,
            self.c_smem_layout_staged,
            self.epi_tile,
            self.tile_sched_params,
            group_count,
            problem_shape_mnkl,
            strides_abc,
            tensor_address_abc,
            tensor_address_sfasfb,
            tensormap_cute_tensor,
        ).launch(
            grid=grid,
            block=[self.threads_per_cta, 1, 1],
            cluster=(*self.cluster_shape_mn, 1),
            smem=self.shared_storage.size_in_bytes(),
            min_blocks_per_mp=1,
        )
        return

    #  GPU device kernel
    @cute.kernel
    def kernel(
        self,
        tiled_mma: cute.TiledMma,
        tiled_mma_sfb: 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,
        tma_atom_c: cute.CopyAtom,
        mC_mnl: cute.Tensor,
        cluster_layout_vmnk: cute.Layout,
        cluster_layout_sfb_vmnk: cute.Layout,
        a_smem_layout_staged: cute.ComposedLayout,
        b_smem_layout_staged: cute.ComposedLayout,
        sfa_smem_layout_staged: cute.Layout,
        sfb_smem_layout_staged: cute.Layout,
        c_smem_layout_staged: Union[cute.Layout, cute.ComposedLayout],
        epi_tile: cute.Tile,
        tile_sched_params: utils.ClcDynamicPersistentTileSchedulerParams,
        group_count: cutlass.Constexpr,
        problem_sizes_mnkl: cute.Tensor,
        strides_abc: cute.Tensor,
        ptrs_abc: cute.Tensor,
        ptrs_sfasfb: cute.Tensor,
        tensormaps: cute.Tensor,
    ):
        """
        GPU device kernel performing the grouped GEMM computation.
        """
        warp_idx = cute.arch.warp_idx()
        warp_idx = cute.arch.make_warp_uniform(warp_idx)
        if warp_idx == self.tma_warp_id:
            cute.nvgpu.cpasync.prefetch_descriptor(tma_atom_a)
            cute.nvgpu.cpasync.prefetch_descriptor(tma_atom_b)
            cute.nvgpu.cpasync.prefetch_descriptor(tma_atom_sfa)
            cute.nvgpu.cpasync.prefetch_descriptor(tma_atom_sfb)
            cute.nvgpu.cpasync.prefetch_descriptor(tma_atom_c)

        #
        # Setup cta/thread coordinates
        #
        # Coords inside cluster
        bidx, bidy, bidz = cute.arch.block_idx()
        mma_tile_coord_v = bidx % cute.size(tiled_mma.thr_id.shape)
        is_leader_cta = mma_tile_coord_v == 0
        cta_rank_in_cluster = cute.arch.make_warp_uniform(
            cute.arch.block_idx_in_cluster()
        )
        block_in_cluster_coord_vmnk = cluster_layout_vmnk.get_flat_coord(
            cta_rank_in_cluster
        )
        block_in_cluster_coord_sfb_vmnk = cluster_layout_sfb_vmnk.get_flat_coord(
            cta_rank_in_cluster
        )
        is_first_cta_in_cluster = cta_rank_in_cluster == 0
        # coord inside cta
        tidx, _, _ = cute.arch.thread_idx()

        #
        # Alloc and init: tensormap buffer, a+b full/empty, accumulator full/empty, tensor memory dealloc barrier
        #
        smem = utils.SmemAllocator()
        storage = smem.allocate(self.shared_storage)

        tensormap_smem_ptr = storage.tensormap_buffer.data_ptr()
        tensormap_a_smem_ptr = tensormap_smem_ptr
        tensormap_b_smem_ptr = (
            tensormap_a_smem_ptr
            + Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8
        )
        tensormap_sfa_smem_ptr = (
            tensormap_b_smem_ptr
            + Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8
        )
        tensormap_sfb_smem_ptr = (
            tensormap_sfa_smem_ptr
            + Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8
        )
        tensormap_c_smem_ptr = (
            tensormap_sfb_smem_ptr
            + Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8
        )

        tmem_holding_buf = storage.tmem_holding_buf

        # Initialize mainloop ab_pipeline (barrier) and states
        ab_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)
        num_tma_producer = self.num_mcast_ctas_a + self.num_mcast_ctas_b - 1
        ab_pipeline_consumer_group = pipeline.CooperativeGroup(
            pipeline.Agent.Thread, num_tma_producer
        )
        ab_pipeline = pipeline.PipelineTmaUmma.create(
            barrier_storage=storage.ab_full_mbar_ptr.data_ptr(),
            num_stages=self.num_ab_stage,
            producer_group=ab_pipeline_producer_group,
            consumer_group=ab_pipeline_consumer_group,
            tx_count=self.num_tma_load_bytes,
            cta_layout_vmnk=cluster_layout_vmnk,
            defer_sync=True,
        )

        # Initialize acc_pipeline (barrier) and states
        acc_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)
        num_acc_consumer_threads = len(self.epilog_warp_id) * (
            2 if self.use_2cta_instrs else 1
        )
        acc_pipeline_consumer_group = pipeline.CooperativeGroup(
            pipeline.Agent.Thread, num_acc_consumer_threads
        )
        acc_pipeline = pipeline.PipelineUmmaAsync.create(
            barrier_storage=storage.acc_full_mbar_ptr.data_ptr(),
            num_stages=self.num_acc_stage,
            producer_group=acc_pipeline_producer_group,
            consumer_group=acc_pipeline_consumer_group,
            cta_layout_vmnk=cluster_layout_vmnk,
            defer_sync=True,
        )

        # Initialize clc_pipeline (barrier) and states
        clc_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)
        cluster_size = cute.size(self.cluster_shape_mn)
        num_clc_consumer_threads = 32 * (
            1 + cluster_size * (1 + len(self.epilog_warp_id) + 1)
        )
        clc_pipeline_consumer_group = pipeline.CooperativeGroup(
            pipeline.Agent.Thread, num_clc_consumer_threads
        )
        clc_pipeline = pipeline.PipelineClcFetchAsync.create(
            barrier_storage=storage.clc_ptr.data_ptr(),
            num_stages=self.num_clc_stage,
            producer_group=clc_pipeline_producer_group,
            consumer_group=clc_pipeline_consumer_group,
            tx_count=self.num_clc_response_bytes,
            cta_layout_vmnk=cluster_layout_vmnk,
            defer_sync=True,
        )

        # Cluster arrive after barrier init
        pipeline_init_arrive(cluster_shape_mn=self.cluster_shape_mn, is_relaxed=True)

        # Initial clc response pointer
        clc_response_ptr = storage.clc_response_ptr.data_ptr()

        clc_consumer_state = pipeline.make_pipeline_state(
            pipeline.PipelineUserType.Consumer, self.num_clc_stage
        )

        #
        # Setup smem tensor A/B/SFA/SFB/C
        #
        sC = storage.sC.get_tensor(
            c_smem_layout_staged.outer, swizzle=c_smem_layout_staged.inner
        )
        # (MMA, MMA_M, MMA_K, STAGE)
        sA = storage.sA.get_tensor(
            a_smem_layout_staged.outer, swizzle=a_smem_layout_staged.inner
        )
        # (MMA, MMA_N, MMA_K, STAGE)
        sB = storage.sB.get_tensor(
            b_smem_layout_staged.outer, swizzle=b_smem_layout_staged.inner
        )
        # (MMA, MMA_M, MMA_K, STAGE)
        sSFA = storage.sSFA.get_tensor(sfa_smem_layout_staged)
        # (MMA, MMA_N, MMA_K, STAGE)
        sSFB = storage.sSFB.get_tensor(sfb_smem_layout_staged)

        #
        # Compute multicast mask for A/B/SFA/SFB buffer full
        #
        a_full_mcast_mask = None
        b_full_mcast_mask = None
        sfa_full_mcast_mask = None
        sfb_full_mcast_mask = None
        if cutlass.const_expr(self.is_a_mcast or self.is_b_mcast or self.use_2cta_instrs):
            a_full_mcast_mask = cpasync.create_tma_multicast_mask(
                cluster_layout_vmnk, block_in_cluster_coord_vmnk, mcast_mode=2
            )
            b_full_mcast_mask = cpasync.create_tma_multicast_mask(
                cluster_layout_vmnk, block_in_cluster_coord_vmnk, mcast_mode=1
            )
            sfa_full_mcast_mask = cpasync.create_tma_multicast_mask(
                cluster_layout_vmnk, block_in_cluster_coord_vmnk, mcast_mode=2
            )
            sfb_full_mcast_mask = cpasync.create_tma_multicast_mask(
                cluster_layout_sfb_vmnk, block_in_cluster_coord_sfb_vmnk, mcast_mode=1
            )

        #
        # Local_tile partition global tensors
        #
        # (bM, bK, RestM, RestK, RestL)
        gA_mkl = cute.local_tile(
            mA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None)
        )
        # (bN, bK, RestN, RestK, RestL)
        gB_nkl = cute.local_tile(
            mB_nkl, cute.slice_(self.mma_tiler, (0, None, None)), (None, None, None)
        )
        # (bM, bK, RestM, RestK, RestL)
        gSFA_mkl = cute.local_tile(
            mSFA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None)
        )
        # (bN, bK, RestN, RestK, RestL)
        gSFB_nkl = cute.local_tile(
            mSFB_nkl, cute.slice_(self.mma_tiler, (0, None, None)), (None, None, None)
        )
        # (bM, bN, RestM, RestN, RestL)
        gC_mnl = cute.local_tile(
            mC_mnl, cute.slice_(self.mma_tiler, (None, None, 0)), (None, None, None)
        )

        #
        # Partition global tensor for TiledMMA_A/B/C
        #
        thr_mma = tiled_mma.get_slice(mma_tile_coord_v)
        thr_mma_sfb = tiled_mma_sfb.get_slice(mma_tile_coord_v)
        # (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_sfb.partition_B(gSFB_nkl)
        # (MMA, MMA_M, MMA_N, RestM, RestN, RestL)
        tCgC = thr_mma.partition_C(gC_mnl)

        #
        # Partition global/shared tensor for TMA load A/B
        #
        # TMA load A partition_S/D
        a_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_vmnk, (0, 0, None, 0)).shape
        )
        # ((atom_v, rest_v), STAGE)
        # ((atom_v, rest_v), RestM, RestK, RestL)
        tAsA, tAgA = cpasync.tma_partition(
            tma_atom_a,
            block_in_cluster_coord_vmnk[2],
            a_cta_layout,
            cute.group_modes(sA, 0, 3),
            cute.group_modes(tCgA, 0, 3),
        )
        # TMA load B partition_S/D
        b_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_vmnk, (0, None, 0, 0)).shape
        )
        # ((atom_v, rest_v), STAGE)
        # ((atom_v, rest_v), RestN, RestK, RestL)
        tBsB, tBgB = cpasync.tma_partition(
            tma_atom_b,
            block_in_cluster_coord_vmnk[1],
            b_cta_layout,
            cute.group_modes(sB, 0, 3),
            cute.group_modes(tCgB, 0, 3),
        )

        #  TMA Load SFA partition_S/D
        sfa_cta_layout = a_cta_layout
        # ((atom_v, rest_v), STAGE)
        # ((atom_v, rest_v), RestM, RestK, RestL)
        tAsSFA, tAgSFA = cute.nvgpu.cpasync.tma_partition(
            tma_atom_sfa,
            block_in_cluster_coord_vmnk[2],
            sfa_cta_layout,
            cute.group_modes(sSFA, 0, 3),
            cute.group_modes(tCgSFA, 0, 3),
        )
        tAsSFA = cute.filter_zeros(tAsSFA)
        tAgSFA = cute.filter_zeros(tAgSFA)

        # TMA Load SFB partition_S/D
        sfb_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_sfb_vmnk, (0, None, 0, 0)).shape
        )
        # ((atom_v, rest_v), STAGE)
        # ((atom_v, rest_v), RestN, RestK, RestL)
        tBsSFB, tBgSFB = cute.nvgpu.cpasync.tma_partition(
            tma_atom_sfb,
            block_in_cluster_coord_sfb_vmnk[1],
            sfb_cta_layout,
            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(self.mma_tiler[:2])
        # (MMA, MMA_M, MMA_N, STAGE)
        tCtAcc_fake = tiled_mma.make_fragment_C(
            cute.append(acc_shape, self.num_acc_stage)
        )

        #
        # Cluster wait before tensor memory alloc
        #
        pipeline_init_wait(cluster_shape_mn=self.cluster_shape_mn)

        #
        # Get tensormap buffer address
        #
        grid_dim = cute.arch.grid_dim()
        tensormap_workspace_idx = (
            bidz * grid_dim[1] * grid_dim[0] + bidy * grid_dim[0] + bidx
        )

        tile_sched = utils.ClcDynamicPersistentTileScheduler.create(
            tile_sched_params,
            cute.arch.block_idx(),
            cute.arch.grid_dim(),
            clc_response_ptr,
        )

        work_tile = tile_sched.initial_work_tile_info()

        tensormap_manager = utils.TensorMapManager(
            utils.TensorMapUpdateMode.SMEM,
            Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap,
        )
        tensormap_a_gmem_ptr = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 0, None)].iterator
        )
        tensormap_b_gmem_ptr = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 1, None)].iterator
        )
        tensormap_sfa_gmem_ptr = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 2, None)].iterator
        )
        tensormap_sfb_gmem_ptr = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 3, None)].iterator
        )
        tensormap_c_gmem_ptr = tensormap_manager.get_tensormap_ptr(
            tensormaps[(tensormap_workspace_idx, 4, None)].iterator
        )

        #
        # Specialized TMA load warp
        #
        if warp_idx == self.tma_warp_id:
            #
            # Persistent tile scheduling loop
            #
            # grouped gemm tile scheduler helper will compute the group index for the tile we're working on
            group_gemm_ts_helper = utils.GroupedGemmTileSchedulerHelper(
                group_count,
                tile_sched_params,
                self.cluster_tile_shape_mnk,
                utils.create_initial_search_state(),
            )
            tensormap_init_done = cutlass.Boolean(False)
            # group index of last tile
            last_group_idx = cutlass.Int32(-1)

            ab_producer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Producer, self.num_ab_stage
            )

            while work_tile.is_valid_tile:
                cur_tile_coord = work_tile.tile_idx
                grouped_gemm_cta_tile_info = group_gemm_ts_helper.delinearize_z(
                    cur_tile_coord,
                    problem_sizes_mnkl,
                )
                cur_k_tile_cnt = grouped_gemm_cta_tile_info.cta_tile_count_k
                cur_group_idx = grouped_gemm_cta_tile_info.group_idx
                is_group_changed = cur_group_idx != last_group_idx
                # skip tensormap update if we're working on the same group
                if is_group_changed:
                    real_tensor_a = self.make_tensor_abc_for_tensormap_update(
                        cur_group_idx,
                        self.a_dtype,
                        (
                            grouped_gemm_cta_tile_info.problem_shape_m,
                            grouped_gemm_cta_tile_info.problem_shape_n,
                            grouped_gemm_cta_tile_info.problem_shape_k,
                        ),
                        strides_abc,
                        ptrs_abc,
                        0,  # 0 for tensor A
                    )
                    real_tensor_b = self.make_tensor_abc_for_tensormap_update(
                        cur_group_idx,
                        self.b_dtype,
                        (
                            grouped_gemm_cta_tile_info.problem_shape_m,
                            grouped_gemm_cta_tile_info.problem_shape_n,
                            grouped_gemm_cta_tile_info.problem_shape_k,
                        ),
                        strides_abc,
                        ptrs_abc,
                        1,  # 1 for tensor B
                    )
                    real_tensor_sfa = self.make_tensor_sfasfb_for_tensormap_update(
                        cur_group_idx,
                        self.sf_dtype,
                        (
                            grouped_gemm_cta_tile_info.problem_shape_m,
                            grouped_gemm_cta_tile_info.problem_shape_n,
                            grouped_gemm_cta_tile_info.problem_shape_k,
                        ),
                        ptrs_sfasfb,
                        0,  # 0 for tensor SFA
                    )
                    real_tensor_sfb = self.make_tensor_sfasfb_for_tensormap_update(
                        cur_group_idx,
                        self.sf_dtype,
                        (
                            grouped_gemm_cta_tile_info.problem_shape_m,
                            grouped_gemm_cta_tile_info.problem_shape_n,
                            grouped_gemm_cta_tile_info.problem_shape_k,
                        ),
                        ptrs_sfasfb,
                        1,  # 1 for tensor SFB
                    )
                    if tensormap_init_done == False:
                        # wait tensormap initialization complete
                        self.tensormap_ab_init_barrier.arrive_and_wait()
                        tensormap_init_done = True

                    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,
                        ),
                        self.tma_warp_id,
                        (
                            tensormap_a_smem_ptr,
                            tensormap_b_smem_ptr,
                            tensormap_sfa_smem_ptr,
                            tensormap_sfb_smem_ptr,
                        ),
                    )

                mma_tile_coord_mnl = (
                    grouped_gemm_cta_tile_info.cta_tile_idx_m
                    // cute.size(tiled_mma.thr_id.shape),
                    grouped_gemm_cta_tile_info.cta_tile_idx_n,
                    0,
                )

                #
                # Slice to per mma tile index
                #
                # ((atom_v, rest_v), RestK)
                tAgA_slice = tAgA[
                    (None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2])
                ]
                # ((atom_v, rest_v), RestK)
                tBgB_slice = tBgB[
                    (None, mma_tile_coord_mnl[1], None, mma_tile_coord_mnl[2])
                ]

                # ((atom_v, rest_v), RestK)
                tAgSFA_slice = tAgSFA[
                    (None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2])
                ]
                # ((atom_v, rest_v), RestK)
                tBgSFB_slice = tBgSFB[
                    (None, mma_tile_coord_mnl[1], None, mma_tile_coord_mnl[2])
                ]

                # Peek (try_wait) AB buffer empty for k_tile = prefetch_k_tile_cnt
                ab_producer_state.reset_count()
                peek_ab_empty_status = cutlass.Boolean(1)
                if ab_producer_state.count < cur_k_tile_cnt:
                    peek_ab_empty_status = ab_pipeline.producer_try_acquire(
                        ab_producer_state
                    )

                if is_group_changed:
                    tensormap_manager.fence_tensormap_update(tensormap_a_gmem_ptr)
                    tensormap_manager.fence_tensormap_update(tensormap_b_gmem_ptr)
                    tensormap_manager.fence_tensormap_update(tensormap_sfa_gmem_ptr)
                    tensormap_manager.fence_tensormap_update(tensormap_sfb_gmem_ptr)
                #
                # Tma load loop
                #
                for k_tile in cutlass.range(0, cur_k_tile_cnt, 1, unroll=1):
                    # Conditionally wait for AB buffer empty
                    ab_pipeline.producer_acquire(
                        ab_producer_state, peek_ab_empty_status
                    )

                    # TMA load A/B/SFA/SFB
                    cute.copy(
                        tma_atom_a,
                        tAgA_slice[(None, ab_producer_state.count)],
                        tAsA[(None, ab_producer_state.index)],
                        tma_bar_ptr=ab_pipeline.producer_get_barrier(ab_producer_state),
                        mcast_mask=a_full_mcast_mask,
                        tma_desc_ptr=tensormap_manager.get_tensormap_ptr(
                            tensormap_a_gmem_ptr,
                            cute.AddressSpace.generic,
                        ),
                    )
                    cute.copy(
                        tma_atom_b,
                        tBgB_slice[(None, ab_producer_state.count)],
                        tBsB[(None, ab_producer_state.index)],
                        tma_bar_ptr=ab_pipeline.producer_get_barrier(ab_producer_state),
                        mcast_mask=b_full_mcast_mask,
                        tma_desc_ptr=tensormap_manager.get_tensormap_ptr(
                            tensormap_b_gmem_ptr,
                            cute.AddressSpace.generic,
                        ),
                    )
                    cute.copy(
                        tma_atom_sfa,
                        tAgSFA_slice[(None, ab_producer_state.count)],
                        tAsSFA[(None, ab_producer_state.index)],
                        tma_bar_ptr=ab_pipeline.producer_get_barrier(ab_producer_state),
                        mcast_mask=sfa_full_mcast_mask,
                        tma_desc_ptr=tensormap_manager.get_tensormap_ptr(
                            tensormap_sfa_gmem_ptr,
                            cute.AddressSpace.generic,
                        ),
                    )
                    cute.copy(
                        tma_atom_sfb,
                        tBgSFB_slice[(None, ab_producer_state.count)],
                        tBsSFB[(None, ab_producer_state.index)],
                        tma_bar_ptr=ab_pipeline.producer_get_barrier(ab_producer_state),
                        mcast_mask=sfb_full_mcast_mask,
                        tma_desc_ptr=tensormap_manager.get_tensormap_ptr(
                            tensormap_sfb_gmem_ptr,
                            cute.AddressSpace.generic,
                        ),
                    )

                    # Peek (try_wait) AB buffer empty for k_tile = prefetch_k_tile_cnt + k_tile + 1
                    ab_producer_state.advance()
                    peek_ab_empty_status = cutlass.Boolean(1)
                    if ab_producer_state.count < cur_k_tile_cnt:
                        peek_ab_empty_status = ab_pipeline.producer_try_acquire(
                            ab_producer_state
                        )

                #
                # Advance to next tile
                #
                clc_pipeline.consumer_wait(clc_consumer_state)
                work_tile = tile_sched.get_current_work()
                clc_pipeline.consumer_release(clc_consumer_state)
                clc_consumer_state.advance()
                last_group_idx = cur_group_idx

            #
            # Wait A/B buffer empty
            #
            ab_pipeline.producer_tail(ab_producer_state)


        #                
        # Sched warp
        #
        if warp_idx == self.sched_warp_id and is_first_cta_in_cluster:
            #
            # Persistent tile scheduling loop
            #
            clc_producer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.ProducerConsumer, self.num_clc_stage
            )

            while work_tile.is_valid_tile:
                #
                # Advance to next tile
                #
                clc_pipeline.producer_acquire(clc_producer_state)
                mbarrier_addr = clc_pipeline.producer_get_barrier(clc_producer_state)
                tile_sched.advance_to_next_work(mbarrier_addr)
                clc_producer_state.advance()

                clc_pipeline.consumer_wait(clc_consumer_state)
                work_tile = tile_sched.get_current_work()
                clc_pipeline.consumer_release(clc_consumer_state)
                clc_consumer_state.advance()
            clc_pipeline.producer_tail(clc_producer_state)

        #
        # Specialized MMA warp
        #
        if warp_idx == self.mma_warp_id:
            #
            # Initialize tensormaps for A, B, SFA and SFB
            #
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_a, tensormap_a_smem_ptr, self.mma_warp_id
            )
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_b, tensormap_b_smem_ptr, self.mma_warp_id
            )
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_sfa, tensormap_sfa_smem_ptr, self.mma_warp_id
            )
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_sfb, tensormap_sfb_smem_ptr, self.mma_warp_id
            )
            # indicate tensormap initialization has finished
            self.tensormap_ab_init_barrier.arrive_and_wait()

            #
            # Bar sync for retrieve tensor memory ptr from shared mem
            #
            self.tmem_alloc_barrier.arrive_and_wait()

            #
            # Retrieving tensor memory ptr and make accumulator/SFA/SFB tensor
            #
            # Make accumulator tmem tensor
            acc_tmem_ptr = cute.arch.retrieve_tmem_ptr(
                self.acc_dtype,
                alignment=16,
                ptr_to_buffer_holding_addr=tmem_holding_buf,
            )
            # (MMA, MMA_M, MMA_N, STAGE)
            tCtAcc_base = cute.make_tensor(acc_tmem_ptr, tCtAcc_fake.layout)

            # Make SFA tmem tensor
            sfa_tmem_ptr = cute.recast_ptr(
                acc_tmem_ptr + tcgen05.find_tmem_tensor_col_offset(tCtAcc_base),
                dtype=self.sf_dtype,
            )
            # (MMA, MMA_M, MMA_K)
            tCtSFA_layout = blockscaled_utils.make_tmem_layout_sfa(
                tiled_mma,
                self.mma_tiler,
                self.sf_vec_size,
                cute.slice_(sfa_smem_layout_staged, (None, None, None, 0)),
            )
            tCtSFA = cute.make_tensor(sfa_tmem_ptr, tCtSFA_layout)

            # Make SFB tmem tensor
            sfb_tmem_ptr = cute.recast_ptr(
                acc_tmem_ptr
                + tcgen05.find_tmem_tensor_col_offset(tCtAcc_base)
                + tcgen05.find_tmem_tensor_col_offset(tCtSFA),
                dtype=self.sf_dtype,
            )
            # (MMA, MMA_N, MMA_K)
            tCtSFB_layout = blockscaled_utils.make_tmem_layout_sfb(
                tiled_mma,
                self.mma_tiler,
                self.sf_vec_size,
                cute.slice_(sfb_smem_layout_staged, (None, None, None, 0)),
            )
            tCtSFB = cute.make_tensor(sfb_tmem_ptr, tCtSFB_layout)
            #
            # Partition for S2T copy of SFA/SFB
            #
            tiled_copy_s2t_sfa, tCsSFA_compact_s2t, tCtSFA_compact_s2t = (
                self.mainloop_s2t_copy_and_partition(sSFA, tCtSFA)
            )
            tiled_copy_s2t_sfb, tCsSFB_compact_s2t, tCtSFB_compact_s2t = (
                self.mainloop_s2t_copy_and_partition(sSFB, tCtSFB)
            )

            #
            # Persistent tile scheduling loop
            #
            # grouped gemm tile scheduler helper will compute the group index for the tile we're working on
            group_gemm_ts_helper = utils.GroupedGemmTileSchedulerHelper(
                group_count,
                tile_sched_params,
                self.cluster_tile_shape_mnk,
                utils.create_initial_search_state(),
            )
            ab_consumer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Consumer, self.num_ab_stage
            )
            acc_producer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Producer, self.num_acc_stage
            )
            while work_tile.is_valid_tile:
                cur_tile_coord = work_tile.tile_idx
                # MMA warp is only interested in number of tiles along K dimension
                (
                    cur_k_tile_cnt,
                    cur_group_idx,
                ) = group_gemm_ts_helper.search_cluster_tile_count_k(
                    cur_tile_coord,
                    problem_sizes_mnkl,
                )

                # (MMA, MMA_M, MMA_N)
                tCtAcc = tCtAcc_base[(None, None, None, acc_producer_state.index)]

                # Peek (try_wait) AB buffer full for k_tile = 0
                ab_consumer_state.reset_count()
                peek_ab_full_status = cutlass.Boolean(1)
                if ab_consumer_state.count < cur_k_tile_cnt and is_leader_cta:
                    peek_ab_full_status = ab_pipeline.consumer_try_wait(
                        ab_consumer_state
                    )

                #
                # Wait for accumulator buffer empty
                #
                if is_leader_cta:
                    acc_pipeline.producer_acquire(acc_producer_state)

                #
                # Reset the ACCUMULATE field for each tile
                #
                tiled_mma.set(tcgen05.Field.ACCUMULATE, False)

                #
                # Mma mainloop
                #
                for k_tile in range(cur_k_tile_cnt):
                    if is_leader_cta:
                        # Conditionally wait for AB buffer full
                        ab_pipeline.consumer_wait(
                            ab_consumer_state, peek_ab_full_status
                        )

                        #  Copy SFA/SFB from smem to tmem
                        s2t_stage_coord = (
                            None,
                            None,
                            None,
                            None,
                            ab_consumer_state.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,
                        )

                        # tCtAcc += tCrA * tCrSFA * tCrB * tCrSFB
                        num_kblocks = cute.size(tCrA, mode=[2])
                        for kblock_idx in cutlass.range(num_kblocks, unroll_full=True):
                            kblock_coord = (
                                None,
                                None,
                                kblock_idx,
                                ab_consumer_state.index,
                            )

                            # Set SFA/SFB tensor to tiled_mma
                            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,
                            )

                            # Enable accumulate on tCtAcc after first kblock
                            tiled_mma.set(tcgen05.Field.ACCUMULATE, True)

                        # Async arrive AB buffer empty
                        ab_pipeline.consumer_release(ab_consumer_state)

                    # Peek (try_wait) AB buffer full for k_tile = k_tile + 1
                    ab_consumer_state.advance()
                    peek_ab_full_status = cutlass.Boolean(1)
                    if ab_consumer_state.count < cur_k_tile_cnt:
                        if is_leader_cta:
                            peek_ab_full_status = ab_pipeline.consumer_try_wait(
                                ab_consumer_state
                            )

                #
                # Async arrive accumulator buffer full
                #
                if is_leader_cta:
                    acc_pipeline.producer_commit(acc_producer_state)
                acc_producer_state.advance()

                #
                # Advance to next tile
                #
                clc_pipeline.consumer_wait(clc_consumer_state)
                work_tile = tile_sched.get_current_work()
                clc_pipeline.consumer_release(clc_consumer_state)
                clc_consumer_state.advance()

            #
            # Wait for accumulator buffer empty
            #
            acc_pipeline.producer_tail(acc_producer_state)

        #
        # Specialized epilogue warps
        #
        if warp_idx < self.mma_warp_id:
            # initialize tensorap for C
            tensormap_manager.init_tensormap_from_atom(
                tma_atom_c,
                tensormap_c_smem_ptr,
                self.epilog_warp_id[0],
            )
            #
            # Alloc tensor memory buffer
            #
            if warp_idx == self.epilog_warp_id[0]:
                cute.arch.alloc_tmem(
                    self.num_tmem_alloc_cols,
                    tmem_holding_buf,
                    is_two_cta=self.use_2cta_instrs,
                )

            #
            # Bar sync for retrieve tensor memory ptr from shared memory
            #
            self.tmem_alloc_barrier.arrive_and_wait()

            #
            # Retrieving tensor memory ptr and make accumulator tensor
            #
            acc_tmem_ptr = cute.arch.retrieve_tmem_ptr(
                self.acc_dtype,
                alignment=16,
                ptr_to_buffer_holding_addr=tmem_holding_buf,
            )
            # (MMA, MMA_M, MMA_N, STAGE)
            tCtAcc_base = cute.make_tensor(acc_tmem_ptr, tCtAcc_fake.layout)

            ### Start from here
            #
            # Partition for epilogue
            #
            epi_tidx = tidx
            tiled_copy_t2r, tTR_tAcc_base, tTR_rAcc = (
                self.epilog_tmem_copy_and_partition(
                    epi_tidx, tCtAcc_base, tCgC, epi_tile
                )
            )

            tTR_rC = cute.make_rmem_tensor(tTR_rAcc.shape, self.c_dtype)
            tiled_copy_r2s, tRS_rC, tRS_sC = self.epilog_smem_copy_and_partition(
                tiled_copy_t2r, tTR_rC, epi_tidx, sC
            )
            tma_atom_c, bSG_sC, bSG_gC_partitioned = (
                self.epilog_gmem_copy_and_partition(
                    epi_tidx, tma_atom_c, tCgC, epi_tile, sC
                )
            )

            #
            # Persistent tile scheduling loop
            #
            # grouped gemm tile scheduler helper will compute the group index for the tile we're working on
            group_gemm_ts_helper = utils.GroupedGemmTileSchedulerHelper(
                group_count,
                tile_sched_params,
                self.cluster_tile_shape_mnk,
                utils.create_initial_search_state(),
            )
            acc_consumer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Consumer, self.num_acc_stage
            )

            # Threads/warps participating in tma store pipeline
            c_producer_group = pipeline.CooperativeGroup(
                pipeline.Agent.Thread,
                32 * len(self.epilog_warp_id),
            )
            c_pipeline = pipeline.PipelineTmaStore.create(
                num_stages=self.num_c_stage,
                producer_group=c_producer_group,
            )
            # group index to start searching
            last_group_idx = cutlass.Int32(-1)

            while work_tile.is_valid_tile:
                cur_tile_coord = work_tile.tile_idx
                grouped_gemm_cta_tile_info = group_gemm_ts_helper.delinearize_z(
                    cur_tile_coord,
                    problem_sizes_mnkl,
                )
                cur_group_idx = grouped_gemm_cta_tile_info.group_idx
                is_group_changed = cur_group_idx != last_group_idx

                if is_group_changed:
                    # construct tensor c based on real shape, stride information
                    real_tensor_c = self.make_tensor_abc_for_tensormap_update(
                        cur_group_idx,
                        self.c_dtype,
                        (
                            grouped_gemm_cta_tile_info.problem_shape_m,
                            grouped_gemm_cta_tile_info.problem_shape_n,
                            grouped_gemm_cta_tile_info.problem_shape_k,
                        ),
                        strides_abc,
                        ptrs_abc,
                        2,  # 2 for tensor C
                    )
                    tensormap_manager.update_tensormap(
                        ((real_tensor_c),),
                        ((tma_atom_c),),
                        ((tensormap_c_gmem_ptr),),
                        self.epilog_warp_id[0],
                        (tensormap_c_smem_ptr,),
                    )

                mma_tile_coord_mnl = (
                    grouped_gemm_cta_tile_info.cta_tile_idx_m
                    // cute.size(tiled_mma.thr_id.shape),
                    grouped_gemm_cta_tile_info.cta_tile_idx_n,
                    0,
                )
                cur_k_tile_cnt = grouped_gemm_cta_tile_info.cta_tile_count_k

                #
                # Slice to per mma tile index
                #
                # ((ATOM_V, REST_V), EPI_M, EPI_N)
                bSG_gC = bSG_gC_partitioned[
                    (
                        None,
                        None,
                        None,
                        *mma_tile_coord_mnl,
                    )
                ]

                # Set tensor memory buffer for current tile
                # (T2R, T2R_M, T2R_N, EPI_M, EPI_M)
                tTR_tAcc = tTR_tAcc_base[
                    (None, None, None, None, None, acc_consumer_state.index)
                ]

                #
                # Wait for accumulator buffer full
                #
                acc_pipeline.consumer_wait(acc_consumer_state)

                tTR_tAcc = cute.group_modes(tTR_tAcc, 3, cute.rank(tTR_tAcc))
                bSG_gC = cute.group_modes(bSG_gC, 1, cute.rank(bSG_gC))

                if is_group_changed:
                    if warp_idx == self.epilog_warp_id[0]:
                        tensormap_manager.fence_tensormap_update(tensormap_c_gmem_ptr)

                #
                # Store accumulator to global memory in subtiles
                #
                subtile_cnt = cute.size(tTR_tAcc.shape, mode=[3])
                num_prev_subtiles = tile_sched.num_tiles_executed * subtile_cnt
                for subtile_idx in range(subtile_cnt):
                    #
                    # Load accumulator from tensor memory buffer to register
                    #
                    tTR_tAcc_mn = tTR_tAcc[(None, None, None, subtile_idx)]
                    cute.copy(tiled_copy_t2r, tTR_tAcc_mn, tTR_rAcc)

                    #
                    # Convert to C type
                    #
                    acc_vec = tiled_copy_r2s.retile(tTR_rAcc).load()
                    tRS_rC.store(acc_vec.to(self.c_dtype))

                    #
                    # Store C to shared memory
                    #
                    c_buffer = (num_prev_subtiles + subtile_idx) % self.num_c_stage
                    cute.copy(
                        tiled_copy_r2s,
                        tRS_rC,
                        tRS_sC[(None, None, None, c_buffer)],
                    )
                    # Fence and barrier to make sure shared memory store is visible to TMA store
                    cute.arch.fence_proxy("async.shared", space="cta")
                    self.epilog_sync_barrier.arrive_and_wait()

                    #
                    # TMA store C to global memory
                    #
                    if warp_idx == self.epilog_warp_id[0]:
                        cute.copy(
                            tma_atom_c,
                            bSG_sC[(None, c_buffer)],
                            bSG_gC[(None, subtile_idx)],
                            tma_desc_ptr=tensormap_manager.get_tensormap_ptr(
                                tensormap_c_gmem_ptr,
                                cute.AddressSpace.generic,
                            ),
                        )
                        # Fence and barrier to make sure shared memory store is visible to TMA store
                        c_pipeline.producer_commit()
                        c_pipeline.producer_acquire()
                    self.epilog_sync_barrier.arrive_and_wait()
                #
                # Async arrive accumulator buffer empty
                #
                with cute.arch.elect_one():
                    acc_pipeline.consumer_release(acc_consumer_state)
                acc_consumer_state.advance()

                #
                # Advance to next tile
                #
                clc_pipeline.consumer_wait(clc_consumer_state)
                work_tile = tile_sched.get_current_work()
                clc_pipeline.consumer_release(clc_consumer_state)
                clc_consumer_state.advance()
                last_group_idx = cur_group_idx

            #
            # Dealloc the tensor memory buffer
            #
            if warp_idx == self.epilog_warp_id[0]:
                cute.arch.relinquish_tmem_alloc_permit(
                    is_two_cta=self.use_2cta_instrs
                )
            self.epilog_sync_barrier.arrive_and_wait()
            if warp_idx == self.epilog_warp_id[0]:
                cute.arch.dealloc_tmem(
                    acc_tmem_ptr,
                    self.num_tmem_alloc_cols,
                    is_two_cta=self.use_2cta_instrs,
                )
            #
            # Wait for C store complete
            #
            c_pipeline.producer_tail()

    @cute.jit
    def make_tensor_abc_for_tensormap_update(
        self,
        group_idx: cutlass.Int32,
        dtype: Type[cutlass.Numeric],
        problem_shape_mnk: tuple[cutlass.Int32, cutlass.Int32, cutlass.Int32],
        strides_abc: cute.Tensor,
        tensor_address_abc: cute.Tensor,
        tensor_index: int,
    ):
        """Extract stride and tensor address for a given group and construct a global tensor for A, B or C.

        This function is used within the kernel to dynamically create a CUTE tensor
        representing A, B, or C for the current group being processed, using the
        group-specific address, shape, and stride information.

        :param group_idx: The index of the current group within the grouped GEMM.
        :type group_idx: cutlass.Int32
        :param dtype: The data type of the tensor elements (e.g., cutlass.Float16).
        :type dtype: Type[cutlass.Numeric]
        :param problem_shape_mnk: The (M, N, K) problem shape for the current group.
        :type problem_shape_mnk: tuple[cutlass.Int32, cutlass.Int32, cutlass.Int32]
        :param strides_abc: Tensor containing strides for A, B, C for all groups. Layout: (group_count, 3, 2).
        :type strides_abc: cute.Tensor
        :param tensor_address_abc: Tensor containing global memory addresses for A, B, C for all groups. Layout: (group_count, 3).
        :type tensor_address_abc: cute.Tensor
        :param tensor_index: Specifies which tensor to create: 0 for A, 1 for B, 2 for C.
        :type tensor_index: int
        :return: A CUTE tensor representing the requested global memory tensor (A, B, or C) for the specified group.
        :rtype: cute.Tensor
        :raises TypeError: If the provided dtype is not a subclass of cutlass.Numeric.
        """
        ptr_i64 = tensor_address_abc[(group_idx, tensor_index)]
        if cutlass.const_expr(
            not isclass(dtype) or not issubclass(dtype, cutlass.Numeric)
        ):
            raise TypeError(
                f"dtype must be a type of cutlass.Numeric, got {type(dtype)}"
            )
        tensor_gmem_ptr = cute.make_ptr(
            dtype, ptr_i64, cute.AddressSpace.gmem, assumed_align=16
        )

        strides_tensor_gmem = strides_abc[(group_idx, tensor_index, None)]
        strides_tensor_reg = cute.make_rmem_tensor(
            cute.make_layout(2),
            strides_abc.element_type,
        )
        cute.autovec_copy(strides_tensor_gmem, strides_tensor_reg)
        stride_mn = strides_tensor_reg[0]
        stride_k = strides_tensor_reg[1]
        c1 = cutlass.Int32(1)
        c0 = cutlass.Int32(0)

        if cutlass.const_expr(tensor_index == 0):  # tensor A
            m = problem_shape_mnk[0]
            k = problem_shape_mnk[2]
            return cute.make_tensor(
                tensor_gmem_ptr,
                cute.make_layout((m, k, c1), stride=(stride_mn, stride_k, c0)),
            )
        elif cutlass.const_expr(tensor_index == 1):  # tensor B
            n = problem_shape_mnk[1]
            k = problem_shape_mnk[2]
            return cute.make_tensor(
                tensor_gmem_ptr,
                cute.make_layout((n, k, c1), stride=(stride_mn, stride_k, c0)),
            )
        else:  # tensor C
            m = problem_shape_mnk[0]
            n = problem_shape_mnk[1]
            return cute.make_tensor(
                tensor_gmem_ptr,
                cute.make_layout((m, n, c1), stride=(stride_mn, stride_k, c0)),
            )

    @cute.jit
    def make_tensor_sfasfb_for_tensormap_update(
        self,
        group_idx: cutlass.Int32,
        dtype: Type[cutlass.Numeric],
        problem_shape_mnk: tuple[cutlass.Int32, cutlass.Int32, cutlass.Int32],
        tensor_address_sfasfb: cute.Tensor,
        tensor_index: int,
    ):
        """Extract tensor address for a given group and construct a global tensor for SFA or SFB.

        This function is used within the kernel to dynamically create a CUTE tensor
        representing SFA or SFB for the current group being processed, using the
        group-specific address, shape information.

        :param group_idx: The index of the current group within the grouped GEMM.
        :type group_idx: cutlass.Int32
        :param dtype: The data type of the tensor elements (e.g., cutlass.Float16).
        :type dtype: Type[cutlass.Numeric]
        :param problem_shape_mnk: The (M, N, K) problem shape for the current group.
        :type problem_shape_mnk: tuple[cutlass.Int32, cutlass.Int32, cutlass.Int32]
        :param tensor_address_sfasfb: Tensor containing global memory addresses for SFA, SFB for all groups. Layout: (group_count, 2).
        :type tensor_address_sfasfb: cute.Tensor
        :param tensor_index: Specifies which tensor to create: 0 for SFA, 1 for SFB.
        :type tensor_index: int
        :return: A CUTE tensor representing the requested global memory tensor (SFA, SFB) for the specified group.
        :rtype: cute.Tensor
        :raises TypeError: If the provided dtype is not a subclass of cutlass.Numeric.
        """
        ptr_i64 = tensor_address_sfasfb[(group_idx, tensor_index)]
        if cutlass.const_expr(
            not isclass(dtype) or not issubclass(dtype, cutlass.Numeric)
        ):
            raise TypeError(
                f"dtype must be a type of cutlass.Numeric, got {type(dtype)}"
            )
        tensor_gmem_ptr = cute.make_ptr(
            dtype, ptr_i64, cute.AddressSpace.gmem, assumed_align=16
        )

        c1 = cutlass.Int32(1)
        if cutlass.const_expr(tensor_index == 0):  # tensor SFA
            m = problem_shape_mnk[0]
            k = problem_shape_mnk[2]
            sfa_layout = blockscaled_utils.tile_atom_to_shape_SF(
                (m, k, c1), self.sf_vec_size
            )
            return cute.make_tensor(
                tensor_gmem_ptr,
                sfa_layout,
            )
        else:  # tensor SFB
            n = problem_shape_mnk[1]
            k = problem_shape_mnk[2]
            sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(
                (n, k, c1), self.sf_vec_size
            )
            return cute.make_tensor(
                tensor_gmem_ptr,
                sfb_layout,
            )

    def mainloop_s2t_copy_and_partition(
        self,
        sSF: cute.Tensor,
        tSF: cute.Tensor,
    ) -> Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]:
        """
        Make tiledCopy for smem to tmem load for scale factor tensor, then use it to partition smem memory (source) and tensor memory (destination).

        :param sSF: The scale factor tensor in smem
        :type sSF: cute.Tensor
        :param tSF: The scale factor tensor in tmem
        :type tSF: cute.Tensor

        :return: A tuple containing (tiled_copy_s2t, tCsSF_compact_s2t, tCtSF_compact_s2t) where:
            - tiled_copy_s2t: The tiled copy operation for smem to tmem load for scale factor tensor(s2t)
            - tCsSF_compact_s2t: The partitioned scale factor tensor in smem
            - tSF_compact_s2t: The partitioned scale factor tensor in tmem
        :rtype: Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]
        """
        # (MMA, MMA_MN, MMA_K, STAGE)
        tCsSF_compact = cute.filter_zeros(sSF)
        # (MMA, MMA_MN, MMA_K)
        tCtSF_compact = cute.filter_zeros(tSF)

        # Make S2T CopyAtom and tiledCopy
        copy_atom_s2t = cute.make_copy_atom(
            tcgen05.Cp4x32x128bOp(self.cta_group),
            self.sf_dtype,
        )
        tiled_copy_s2t = tcgen05.make_s2t_copy(copy_atom_s2t, tCtSF_compact)
        thr_copy_s2t = tiled_copy_s2t.get_slice(0)

        # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K, STAGE)
        tCsSF_compact_s2t_ = thr_copy_s2t.partition_S(tCsSF_compact)
        # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K, STAGE)
        tCsSF_compact_s2t = tcgen05.get_s2t_smem_desc_tensor(
            tiled_copy_s2t, tCsSF_compact_s2t_
        )
        # ((ATOM_V, REST_V), Rest_Tiler, MMA_MN, MMA_K)
        tCtSF_compact_s2t = thr_copy_s2t.partition_D(tCtSF_compact)

        return tiled_copy_s2t, tCsSF_compact_s2t, tCtSF_compact_s2t

    def epilog_tmem_copy_and_partition(
        self,
        tidx: cutlass.Int32,
        tAcc: cute.Tensor,
        gC_mnl: cute.Tensor,
        epi_tile: cute.Tile,
    ) -> Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]:
        """
        Make tiledCopy for tensor memory load, then use it to partition tensor memory (source) and register array (destination).

        :param tidx: The thread index in epilogue warp groups
        :type tidx: cutlass.Int32
        :param tAcc: The accumulator tensor to be copied and partitioned
        :type tAcc: cute.Tensor
        :param gC_mnl: The global tensor C
        :type gC_mnl: cute.Tensor
        :param epi_tile: The epilogue tiler
        :type epi_tile: cute.Tile
        :return: A tuple containing (tiled_copy_t2r, tTR_tAcc, tTR_rAcc) where:
            - tiled_copy_t2r: The tiled copy operation for tmem to register copy(t2r)
            - tTR_tAcc: The partitioned accumulator tensor
            - tTR_rAcc: The accumulated tensor in register used to hold t2r results
        :rtype: Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]
        """
        # Make tiledCopy for tensor memory load
        copy_atom_t2r = sm100_utils.get_tmem_load_op(
            self.cta_tile_shape_mnk,
            self.c_layout,
            self.c_dtype,
            self.acc_dtype,
            epi_tile,
            False,
        )
        # (EPI_TILE_M, EPI_TILE_N, EPI_M, EPI_N, STAGE)
        tAcc_epi = cute.flat_divide(
            tAcc[((None, None), 0, 0, None)],
            epi_tile,
        )
        # (EPI_TILE_M, EPI_TILE_N)
        tiled_copy_t2r = tcgen05.make_tmem_copy(
            copy_atom_t2r, tAcc_epi[(None, None, 0, 0, 0)]
        )

        thr_copy_t2r = tiled_copy_t2r.get_slice(tidx)
        # (T2R, T2R_M, T2R_N, EPI_M, EPI_M, STAGE)
        tTR_tAcc = thr_copy_t2r.partition_S(tAcc_epi)

        # (EPI_TILE_M, EPI_TILE_N, EPI_M, EPI_N, RestM, RestN, RestL)
        gC_mnl_epi = cute.flat_divide(
            gC_mnl[((None, None), 0, 0, None, None, None)], epi_tile
        )
        # (T2R, T2R_M, T2R_N, EPI_M, EPI_N, RestM, RestN, RestL)
        tTR_gC = thr_copy_t2r.partition_D(gC_mnl_epi)
        # (T2R, T2R_M, T2R_N)
        tTR_rAcc = cute.make_rmem_tensor(
            tTR_gC[(None, None, None, 0, 0, 0, 0, 0)].shape, self.acc_dtype
        )
        return tiled_copy_t2r, tTR_tAcc, tTR_rAcc

    def epilog_smem_copy_and_partition(
        self,
        tiled_copy_t2r: cute.TiledCopy,
        tTR_rC: cute.Tensor,
        tidx: cutlass.Int32,
        sC: cute.Tensor,
    ) -> Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]:
        """
        Make tiledCopy for shared memory store, then use it to partition register array (source) and shared memory (destination).

        :param tiled_copy_t2r: The tiled copy operation for tmem to register copy(t2r)
        :type tiled_copy_t2r: cute.TiledCopy
        :param tTR_rC: The partitioned accumulator tensor
        :type tTR_rC: cute.Tensor
        :param tidx: The thread index in epilogue warp groups
        :type tidx: cutlass.Int32
        :param sC: The shared memory tensor to be copied and partitioned
        :type sC: cute.Tensor
        :type sepi: cute.Tensor

        :return: A tuple containing (tiled_copy_r2s, tRS_rC, tRS_sC) where:
            - tiled_copy_r2s: The tiled copy operation for register to smem copy(r2s)
            - tRS_rC: The partitioned tensor C (register source)
            - tRS_sC: The partitioned tensor C (smem destination)
        :rtype: Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]
        """
        copy_atom_r2s = sm100_utils.get_smem_store_op(
            self.c_layout, self.c_dtype, self.acc_dtype, tiled_copy_t2r
        )
        tiled_copy_r2s = cute.make_tiled_copy_D(copy_atom_r2s, tiled_copy_t2r)
        # (R2S, R2S_M, R2S_N, PIPE_D)
        thr_copy_r2s = tiled_copy_r2s.get_slice(tidx)
        tRS_sC = thr_copy_r2s.partition_D(sC)
        # (R2S, R2S_M, R2S_N)
        tRS_rC = tiled_copy_r2s.retile(tTR_rC)
        return tiled_copy_r2s, tRS_rC, tRS_sC

    def epilog_gmem_copy_and_partition(
        self,
        tidx: cutlass.Int32,
        atom: Union[cute.CopyAtom, cute.TiledCopy],
        gC_mnl: cute.Tensor,
        epi_tile: cute.Tile,
        sC: cute.Tensor,
    ) -> Tuple[cute.CopyAtom, cute.Tensor, cute.Tensor]:
        """Make tiledCopy for global memory store, then use it to:
        partition shared memory (source) and global memory (destination) for TMA store version.

        :param tidx: The thread index in epilogue warp groups
        :type tidx: cutlass.Int32
        :param atom: The copy_atom_c to be used for TMA store version, or tiled_copy_t2r for none TMA store version
        :type atom: cute.CopyAtom or cute.TiledCopy
        :param gC_mnl: The global tensor C
        :type gC_mnl: cute.Tensor
        :param epi_tile: The epilogue tiler
        :type epi_tile: cute.Tile
        :param sC: The shared memory tensor to be copied and partitioned
        :type sC: cute.Tensor

        :return: A tuple containing (tma_atom_c, bSG_sC, bSG_gC) where:
            - tma_atom_c: The TMA copy atom
            - bSG_sC: The partitioned shared memory tensor C
            - bSG_gC: The partitioned global tensor C
        :rtype: Tuple[cute.CopyAtom, cute.Tensor, cute.Tensor]
        """
        # (EPI_TILE_M, EPI_TILE_N, EPI_M, EPI_N, RestM, RestN, RestL)
        gC_epi = cute.flat_divide(
            gC_mnl[((None, None), 0, 0, None, None, None)], epi_tile
        )

        tma_atom_c = atom
        sC_for_tma_partition = cute.group_modes(sC, 0, 2)
        gC_for_tma_partition = cute.group_modes(gC_epi, 0, 2)
        # ((ATOM_V, REST_V), EPI_M, EPI_N)
        # ((ATOM_V, REST_V), EPI_M, EPI_N, RestM, RestN, RestL)
        bSG_sC, bSG_gC = cpasync.tma_partition(
            tma_atom_c,
            0,
            cute.make_layout(1),
            sC_for_tma_partition,
            gC_for_tma_partition,
        )
        return tma_atom_c, bSG_sC, bSG_gC

    @staticmethod
    def _compute_stages(
        tiled_mma: cute.TiledMma,
        mma_tiler_mnk: Tuple[int, int, int],
        a_dtype: Type[cutlass.Numeric],
        b_dtype: Type[cutlass.Numeric],
        epi_tile: cute.Tile,
        c_dtype: Type[cutlass.Numeric],
        c_layout: utils.LayoutEnum,
        sf_dtype: Type[cutlass.Numeric],
        sf_vec_size: int,
        smem_capacity: int,
        occupancy: int,
    ) -> Tuple[int, int, int]:
        """Computes the number of stages for A/B/C operands based on heuristics.

        :param tiled_mma: The tiled MMA object defining the core computation.
        :type tiled_mma: cute.TiledMma
        :param mma_tiler_mnk: The shape (M, N, K) of the MMA tiler.
        :type mma_tiler_mnk: tuple[int, int, int]
        :param a_dtype: Data type of operand A.
        :type a_dtype: type[cutlass.Numeric]
        :param b_dtype: Data type of operand B.
        :type b_dtype: type[cutlass.Numeric]
        :param epi_tile: The epilogue tile shape.
        :type epi_tile: cute.Tile
        :param c_dtype: Data type of operand C (output).
        :type c_dtype: type[cutlass.Numeric]
        :param c_layout: Layout enum of operand C.
        :type c_layout: utils.LayoutEnum
        :param sf_dtype: Data type of Scale factor.
        :type sf_dtype: type[cutlass.Numeric]
        :param sf_vec_size: Scale factor vector size.
        :type sf_vec_size: int
        :param smem_capacity: Total available shared memory capacity in bytes.
        :type smem_capacity: int
        :param occupancy: Target number of CTAs per SM (occupancy).
        :type occupancy: int

        :return: A tuple containing the computed number of stages for:
                 (ACC stages, A/B operand stages, C stages)
        :rtype: tuple[int, int, int]
        """
        # ACC stages
        num_acc_stage = 1 if mma_tiler_mnk[1] == 256 else 2

        # Default C stages
        num_c_stage = 2

        # Calculate smem layout and size for one stage of A, B, SFA, SFB and C
        a_smem_layout_stage_one = sm100_utils.make_smem_layout_a(
            tiled_mma,
            mma_tiler_mnk,
            a_dtype,
            1,  # a tmp 1 stage is provided
        )
        b_smem_layout_staged_one = sm100_utils.make_smem_layout_b(
            tiled_mma,
            mma_tiler_mnk,
            b_dtype,
            1,  # a tmp 1 stage is provided
        )
        sfa_smem_layout_staged_one = blockscaled_utils.make_smem_layout_sfa(
            tiled_mma,
            mma_tiler_mnk,
            sf_vec_size,
            1,  # a tmp 1 stage is provided
        )
        sfb_smem_layout_staged_one = blockscaled_utils.make_smem_layout_sfb(
            tiled_mma,
            mma_tiler_mnk,
            sf_vec_size,
            1,  # a tmp 1 stage is provided
        )

        c_smem_layout_staged_one = sm100_utils.make_smem_layout_epi(
            c_dtype,
            c_layout,
            epi_tile,
            1,
        )

        ab_bytes_per_stage = (
            cute.size_in_bytes(a_dtype, a_smem_layout_stage_one)
            + cute.size_in_bytes(b_dtype, b_smem_layout_staged_one)
            + cute.size_in_bytes(sf_dtype, sfa_smem_layout_staged_one)
            + cute.size_in_bytes(sf_dtype, sfb_smem_layout_staged_one)
        )
        mbar_helpers_bytes = 1024
        c_bytes_per_stage = cute.size_in_bytes(c_dtype, c_smem_layout_staged_one)
        c_bytes = c_bytes_per_stage * num_c_stage

        # Calculate A/B/SFA/SFB stages:
        # Start with total smem per CTA (capacity / occupancy)
        # Subtract reserved bytes and initial C stages bytes
        # Divide remaining by bytes needed per A/B/SFA/SFB stage
        num_ab_stage = (
            smem_capacity // occupancy - (mbar_helpers_bytes + c_bytes)
        ) // ab_bytes_per_stage

        # Refine epilogue stages:
        # Calculate remaining smem after allocating for A/B/SFA/SFB stages and reserved bytes
        # Add remaining unused smem to epilogue
        num_c_stage += (
            smem_capacity
            - occupancy * ab_bytes_per_stage * num_ab_stage
            - occupancy * (mbar_helpers_bytes + c_bytes)
        ) // (occupancy * c_bytes_per_stage)

        return num_acc_stage, num_ab_stage, num_c_stage

    @staticmethod
    def _compute_grid(
        total_num_clusters: int,
        cluster_shape_mn: tuple[int, int],
    ) -> tuple[utils.ClcDynamicPersistentTileSchedulerParams, tuple[int, int, int]]:
        """Compute tile scheduler parameters and grid shape for grouped GEMM operations.

        :param total_num_clusters: Total number of clusters to process across all groups.
        :type total_num_clusters: int
        :param cluster_shape_mn: Shape of each cluster in M, N dimensions.
        :type cluster_shape_mn: tuple[int, int]
        :param max_active_clusters: Maximum number of active clusters.
        :type max_active_clusters: cutlass.Constexpr[int]

        :return: A tuple containing:
            - tile_sched_params: Parameters for the persistent tile scheduler.
            - grid: Grid shape for kernel launch.
        :rtype: tuple[utils.PersistentTileSchedulerParams, tuple[int, ...]]
        """
        # Create problem shape with M, N dimensions from cluster shape
        # and L dimension representing the total number of clusters.
        problem_shape_ntile_mnl = (
            cluster_shape_mn[0],
            cluster_shape_mn[1],
            cutlass.Int32(total_num_clusters),
        )

        tile_sched_params = utils.ClcDynamicPersistentTileSchedulerParams(
            problem_shape_ntile_mnl, (*cluster_shape_mn, 1)
        )

        grid = utils.ClcDynamicPersistentTileScheduler.get_grid_shape(tile_sched_params)

        return tile_sched_params, grid

    @staticmethod
    def _get_mbar_smem_bytes(**kwargs_stages: int) -> int:
        """Calculate shared memory consumption for memory barriers based on provided stages.

        Each stage requires 2 barriers, and each barrier consumes 8 bytes of shared memory.
        The total consumption is the sum across all provided stages. This function calculates the total
        shared memory needed for these barriers.

        :param kwargs_stages: Variable keyword arguments where each key is a stage name
                              (e.g., num_acc_stage, num_ab_stage) and each value is the
                              number of stages of that type.
        :type kwargs_stages: int
        :return: Total shared memory bytes required for all memory barriers.
        :rtype: int
        """
        num_barriers_per_stage = 2
        num_bytes_per_barrier = 8
        mbar_smem_consumption = sum(
            [
                num_barriers_per_stage * num_bytes_per_barrier * stage
                for stage in kwargs_stages.values()
            ]
        )
        return mbar_smem_consumption

    @staticmethod
    def is_valid_dtypes_and_scale_factor_vec_size(
        ab_dtype: Type[cutlass.Numeric],
        sf_dtype: Type[cutlass.Numeric],
        sf_vec_size: int,
        c_dtype: Type[cutlass.Numeric],
    ) -> bool:
        """
        Check if the dtypes and sf_vec_size are valid combinations

        :param ab_dtype: The data type of the A and B operands
        :type ab_dtype: Type[cutlass.Numeric]
        :param sf_dtype: The data type of the scale factor
        :type sf_dtype: Type[cutlass.Numeric]
        :param sf_vec_size: The vector size of the scale factor
        :type sf_vec_size: int
        :param c_dtype: The data type of the output tensor
        :type c_dtype: Type[cutlass.Numeric]

        :return: True if the dtypes and sf_vec_size are valid, False otherwise
        :rtype: bool
        """
        is_valid = True

        # Check valid ab_dtype
        if ab_dtype not in {
            cutlass.Float4E2M1FN,
            cutlass.Float8E5M2,
            cutlass.Float8E4M3FN,
        }:
            is_valid = False

        # Check valid sf_vec_size
        if sf_vec_size not in {16, 32}:
            is_valid = False

        # Check valid sf_dtype
        if sf_dtype not in {cutlass.Float8E8M0FNU, cutlass.Float8E4M3FN}:
            is_valid = False

        # Check valid sf_dtype and sf_vec_size combinations
        if sf_dtype == cutlass.Float8E4M3FN and sf_vec_size == 32:
            is_valid = False
        if ab_dtype in {cutlass.Float8E5M2, cutlass.Float8E4M3FN} and sf_vec_size == 16:
            is_valid = False

        # Check valid c_dtype
        if c_dtype not in {
            cutlass.Float32,
            cutlass.Float16,
            cutlass.BFloat16,
            cutlass.Float8E5M2,
            cutlass.Float8E4M3FN,
        }:
            is_valid = False

        return is_valid

    @staticmethod
    def is_valid_layouts(
        ab_dtype: Type[cutlass.Numeric],
        c_dtype: Type[cutlass.Numeric],
        a_major: str,
        b_major: str,
        c_major: str,
    ) -> bool:
        """
        Check if layouts and dtypes are valid combinations

        :param ab_dtype: The data type of the A and B operands
        :type ab_dtype: Type[cutlass.Numeric]
        :param c_dtype: The data type of the output tensor
        :type c_dtype: Type[cutlass.Numeric]
        :param a_major: The major dimension of the A tensor
        :type a_major: str
        :param b_major: The major dimension of the B tensor
        :type b_major: str
        :param c_major: The major dimension of the C tensor
        :type c_major: str

        :return: True if the layouts are valid, False otherwise
        :rtype: bool
        """
        is_valid = True

        if ab_dtype is cutlass.Float4E2M1FN and not (a_major == "k" and b_major == "k"):
            is_valid = False
        return is_valid

    @staticmethod
    def is_valid_mma_tiler_and_cluster_shape(
        mma_tiler_mn: Tuple[int, int],
        cluster_shape_mn: Tuple[int, int],
    ) -> bool:
        """
        Check if the mma tiler and cluster shape are valid

        :param mma_tiler_mn: The (M, N) shape of the MMA instruction tiler
        :type mma_tiler_mn: Tuple[int, int]
        :param cluster_shape_mn: The (ClusterM, ClusterN) shape of the CTA cluster
        :type cluster_shape_mn: Tuple[int, int]

        :return: True if the mma tiler and cluster shape are valid, False otherwise
        :rtype: bool
        """
        is_valid = True
        # Skip invalid mma tile shape
        if mma_tiler_mn[0] not in [128, 256]:
            is_valid = False
        if mma_tiler_mn[1] not in [128, 256]:
            is_valid = False
        # Skip illegal cluster shape
        if cluster_shape_mn[0] % (2 if mma_tiler_mn[0] == 256 else 1) != 0:
            is_valid = False
        # Skip invalid cluster shape
        is_power_of_2 = lambda x: x > 0 and (x & (x - 1)) == 0
        if (
            cluster_shape_mn[0] * cluster_shape_mn[1] > 16
            or cluster_shape_mn[0] <= 0
            or cluster_shape_mn[1] <= 0
            # Special cluster shape check for scale factor multicasts.
            # Due to limited size of scale factors, we can't multicast among more than 4 CTAs.
            or cluster_shape_mn[0] > 4
            or cluster_shape_mn[1] > 4
            or not is_power_of_2(cluster_shape_mn[0])
            or not is_power_of_2(cluster_shape_mn[1])
        ):
            is_valid = False
        return is_valid

    @staticmethod
    def is_valid_tensor_alignment(
        problem_sizes_mnkl: List[Tuple[int, int, int, int]],
        ab_dtype: Type[cutlass.Numeric],
        c_dtype: Type[cutlass.Numeric],
        a_major: str,
        b_major: str,
        c_major: str,
    ) -> bool:
        """
        Check if the tensor alignment is valid

        :param problem_sizes_mnkl: The problem shape for each group
        :type problem_sizes_mnkl: List[Tuple[int, int, int, int]]
        :param ab_dtype: The data type of the A and B operands
        :type ab_dtype: Type[cutlass.Numeric]
        :param c_dtype: The data type of the output tensor
        :type c_dtype: Type[cutlass.Numeric]
        :param a_major: The major axis of the A tensor
        :type a_major: str
        :param b_major: The major axis of the B tensor
        :type b_major: str
        :param c_major: The major axis of the C tensor
        :type c_major: str

        :return: True if the problem shape is valid, False otherwise
        :rtype: bool
        """
        is_valid = True

        def check_contigous_16B_alignment(dtype, is_mode0_major, tensor_shape):
            major_mode_idx = 0 if is_mode0_major else 1
            num_major_elements = tensor_shape[major_mode_idx]
            num_contiguous_elements = 16 * 8 // dtype.width
            return num_major_elements % num_contiguous_elements == 0

        for m, n, k, l in problem_sizes_mnkl:
            if (
                not check_contigous_16B_alignment(ab_dtype, a_major == "m", (m, k, l))
                or not check_contigous_16B_alignment(
                    ab_dtype, b_major == "n", (n, k, l)
                )
                or not check_contigous_16B_alignment(c_dtype, c_major == "m", (m, n, l))
            ):
                is_valid = False
        return is_valid

    @staticmethod
    def can_implement(
        ab_dtype: Type[cutlass.Numeric],
        sf_dtype: Type[cutlass.Numeric],
        sf_vec_size: int,
        c_dtype: Type[cutlass.Numeric],
        mma_tiler_mn: Tuple[int, int],
        cluster_shape_mn: Tuple[int, int],
        problem_sizes_mnkl: List[Tuple[int, int, int, int]],
        a_major: str,
        b_major: str,
        c_major: str,
    ) -> bool:
        """
        Check if the gemm can be implemented

        :param ab_dtype: The data type of the A and B operands
        :type ab_dtype: Type[cutlass.Numeric]
        :param sf_dtype: The data type of the scale factor tensor
        :type sf_dtype: Type[cutlass.Numeric]
        :param sf_vec_size: The vector size
        :type sf_vec_size: int
        :param c_dtype: The data type of the output tensor
        :type c_dtype: Type[cutlass.Numeric]
        :param mma_tiler_mn: The (M, N) shape of the MMA instruction tiler
        :type mma_tiler_mn: Tuple[int, int]
        :param cluster_shape_mn: The (ClusterM, ClusterN) shape of the CTA cluster
        :type cluster_shape_mn: Tuple[int, int]

        :param a_major: The major axis of the A tensor
        :type a_major: str
        :param b_major: The major axis of the B tensor
        :type b_major: str
        :param c_major: The major axis of the C tensor
        :type c_major: str

        :return: True if the gemm can be implemented, False otherwise
        :rtype: bool
        """
        can_implement = True
        # Skip unsupported types
        if not Sm100GroupedBlockScaledGemmKernel.is_valid_dtypes_and_scale_factor_vec_size(
            ab_dtype, sf_dtype, sf_vec_size, c_dtype
        ):
            can_implement = False
        # Skip unsupported layouts
        if not Sm100GroupedBlockScaledGemmKernel.is_valid_layouts(
            ab_dtype, c_dtype, a_major, b_major, c_major
        ):
            can_implement = False
        # Skip invalid mma tile shape and cluster shape
        if not Sm100GroupedBlockScaledGemmKernel.is_valid_mma_tiler_and_cluster_shape(
            mma_tiler_mn, cluster_shape_mn
        ):
            can_implement = False
        # Skip illegal problem shape for load/store alignment
        if not Sm100GroupedBlockScaledGemmKernel.is_valid_tensor_alignment(
            problem_sizes_mnkl, ab_dtype, c_dtype, a_major, b_major, c_major
        ):
            can_implement = False
        return can_implement


# ---------------------------------------------------------------------------
# Caches
# ---------------------------------------------------------------------------
_compiled_kernel_cache = {}   # compiled kernel per problem shape
_metadata_cache = {}          # shape-derived GPU tensors per problem shape
_data_ptr_cache = {}          # pointer tensors per data identity
_DATA_PTR_CACHE_MAX = 64


# ---------------------------------------------------------------------------
# Helpers
# ---------------------------------------------------------------------------
_CLUSTER_TILE_MN = tuple(
    m * c for m, c in zip(MMA_TILER_MN, CLUSTER_SHAPE_MN)
)


def _count_clusters(problem_sizes):
    total = 0
    for m, n, _, _ in problem_sizes:
        total += (
            ((m + _CLUSTER_TILE_MN[0] - 1) // _CLUSTER_TILE_MN[0])
            * ((n + _CLUSTER_TILE_MN[1] - 1) // _CLUSTER_TILE_MN[1])
        )
    return total


def _make_ptr_tensors(abc_tensors, sfasfb_reordered_tensors):
    abc_ptrs = [
        [a.data_ptr(), b.data_ptr(), c.data_ptr()]
        for a, b, c in abc_tensors
    ]
    sfasfb_ptrs = [
        [sfa.data_ptr(), sfb.data_ptr()]
        for sfa, sfb in sfasfb_reordered_tensors
    ]
    return (
        torch.tensor(abc_ptrs, dtype=torch.int64, device="cuda"),
        torch.tensor(sfasfb_ptrs, dtype=torch.int64, device="cuda"),
    )


# ---------------------------------------------------------------------------
# Kernel compilation (cached)
# ---------------------------------------------------------------------------
def compile_kernel(problem_sizes: List[Tuple[int, int, int, int]]):
    """Compile the kernel once and cache it keyed by problem_sizes."""
    num_groups = len(problem_sizes)
    cache_key = (num_groups, tuple(tuple(ps) for ps in problem_sizes))

    if cache_key in _compiled_kernel_cache:
        return _compiled_kernel_cache[cache_key]

    grouped_blockscaled_gemm = Sm100GroupedBlockScaledGemmKernel(
        SF_VEC_SIZE, MMA_TILER_MN, CLUSTER_SHAPE_MN,
    )

    total_num_clusters = cutlass.Int32(_count_clusters(problem_sizes))

    # Fake tensors for compilation signature
    problem_sizes_fake = cute.runtime.make_fake_compact_tensor(
        cutlass.Int32, (num_groups, 4), stride_order=(1, 0)
    )
    strides_abc_fake = cute.runtime.make_fake_compact_tensor(
        cutlass.Int32, (num_groups, 3, 2), stride_order=(2, 1, 0)
    )
    ptrs_abc_fake = cute.runtime.make_fake_compact_tensor(
        cutlass.Int64, (num_groups, 3), stride_order=(1, 0)
    )
    ptrs_sfasfb_fake = cute.runtime.make_fake_compact_tensor(
        cutlass.Int64, (num_groups, 2), stride_order=(1, 0)
    )
    tensormap_fake = cute.runtime.make_fake_compact_tensor(
        cutlass.Int64,
        (SM_COUNT,
         Sm100GroupedBlockScaledGemmKernel.num_tensormaps,
         Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8),
        stride_order=(2, 1, 0),
    )

    compiled_func = cute.compile(
        grouped_blockscaled_gemm,
        num_groups,
        problem_sizes_fake,
        strides_abc_fake,
        ptrs_abc_fake,
        ptrs_sfasfb_fake,
        tensormap_fake,
        total_num_clusters,
        _MAX_ACTIVE_CLUSTERS,
        options="--opt-level 2 --enable-tvm-ffi",
    )

    _compiled_kernel_cache[cache_key] = compiled_func
    return compiled_func


# ---------------------------------------------------------------------------
# Shape metadata (cached)
# ---------------------------------------------------------------------------
def _get_or_build_metadata(problem_sizes, problem_sizes_key):
    """Return cached (or freshly built) shape-derived GPU tensors."""
    cached = _metadata_cache.get(problem_sizes_key)
    if cached is not None:
        return cached

    tensor_of_problem_sizes = torch.tensor(
        problem_sizes, dtype=torch.int32, device="cuda"
    )
    strides_abc = [[(k, 1), (k, 1), (n, 1)] for _, n, k, _ in problem_sizes]
    tensor_of_strides_abc = torch.tensor(
        strides_abc, dtype=torch.int32, device="cuda"
    )
    tensor_of_tensormap = torch.empty(
        (SM_COUNT,
         Sm100GroupedBlockScaledGemmKernel.num_tensormaps,
         Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8),
        dtype=torch.int64, device="cuda",
    )
    total_num_clusters = _count_clusters(problem_sizes)

    result = (
        tensor_of_problem_sizes,
        tensor_of_strides_abc,
        tensor_of_tensormap,
        total_num_clusters,
    )
    _metadata_cache[problem_sizes_key] = result
    return result


# ---------------------------------------------------------------------------
# Pointer tensors (cached by data identity)
# ---------------------------------------------------------------------------
def _get_or_build_ptrs(data_id, first_ptr, problem_sizes_key,
                       abc_tensors, sfasfb_reordered_tensors):
    """Return cached (or freshly built) pointer tensors."""
    cached = _data_ptr_cache.get(data_id)
    if cached is not None:
        cf, ck, t_abc, t_sf = cached
        if cf == first_ptr and ck == problem_sizes_key:
            return t_abc, t_sf

    t_abc, t_sf = _make_ptr_tensors(abc_tensors, sfasfb_reordered_tensors)

    if len(_data_ptr_cache) >= _DATA_PTR_CACHE_MAX:
        _data_ptr_cache.pop(next(iter(_data_ptr_cache)))
    _data_ptr_cache[data_id] = (first_ptr, problem_sizes_key, t_abc, t_sf)

    return t_abc, t_sf


# ---------------------------------------------------------------------------
# Entry point
# ---------------------------------------------------------------------------
def custom_kernel(data: input_t) -> output_t:
    """Execute the block-scaled group GEMM kernel."""
    abc_tensors, _, sfasfb_reordered_tensors, problem_sizes = data
    num_groups = len(problem_sizes)
    problem_sizes_key = tuple(tuple(ps) for ps in problem_sizes)

    compiled_func = compile_kernel(problem_sizes)

    (tensor_of_problem_sizes,
     tensor_of_strides_abc,
     tensor_of_tensormap,
     total_num_clusters) = _get_or_build_metadata(problem_sizes, problem_sizes_key)

    tensor_of_abc_ptrs, tensor_of_sfasfb_ptrs = _get_or_build_ptrs(
        id(data), abc_tensors[0][0].data_ptr(), problem_sizes_key,
        abc_tensors, sfasfb_reordered_tensors,
    )

    compiled_func(
        tensor_of_problem_sizes,
        tensor_of_strides_abc,
        tensor_of_abc_ptrs,
        tensor_of_sfasfb_ptrs,
        tensor_of_tensormap,
        total_num_clusters,
    )

    return [abc_tensors[i][2] for i in range(num_groups)]
scrolls · 2607 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 454767.

⋯ 15 unchanged lines
print(f"Error installing package: {e}")
return False
-
install_package()
from task import input_t, output_t
⋯ 16 unchanged lines
import cutlass.utils.blackwell_helpers as sm100_utils
import cutlass.utils.blockscaled_layout as blockscaled_utils
- from cutlass.cute.typing import Int32
- """
- This example provides an experimental implementation of the SM100 grouped blockscaled GEMM kernel, please note that the APIs and implementation details related to this kernel may change in future releases.
- A grouped blockscaled GEMM example for the NVIDIA Blackwell SM100 architecture using CUTE DSL
-
- This example demonstrates an implementation of grouped blockscaled GEMM using a TMA plus Blackwell SM100 TensorCore
- warp-specialized persistent kernel.
- The grouped GEMM workload computes a batch of GEMM operations with distinct problem sizes. Pointers to matrices
- in global memory are passed to the kernel in an array (also held in global memory). Similarly, problem shapes and
- strides are also stored in arrays in GMEM.
-
- This differs from "Batched Array" GEMM since the size of each GEMM problem in the grouped GEMM concept may be distinct.
-
- Constraints:
- * Supported input data types: mxf8, mxf4, nvf4
- see detailed valid dtype combinations in below Sm100GroupedBlockScaledGemmKernel class documentation
- * A/B tensors must have the same data type, mixed data type is not supported (e.g., mxf8 x mxf4)
- * Mma tiler M must be 128 or 256(use_2cta_instrs)
- * Mma tiler N must be 128 or 256
- * Cluster shape M/N must be positive and power of 2, total cluster size <= 16
- * Cluster shape M/N must be <= 4 for scale factor multicasts due to limited size of scale factors
- * Cluster shape M must be multiple of 2 if Mma tiler M is 256(use_2cta_instrs)
- * The l mode(aka, batch size) for each group must be 1.
- * The majorness for A, B and C must be the same across all groups.
- * The contiguous dimension of A/B/C tensors in each group must be at least 16 bytes aligned,
- i.e, number of elements is a multiple of 16 and 32 for Float8 and Float4, respectively.
- """
-
# =============================================================================
# Tunables / configuration knobs
# =============================================================================
⋯ 15 unchanged lines
SF_DTYPE = cutlass.Float8E4M3FN # float8_e4m3fnuz for NVF4
C_DTYPE = cutlass.Float16
- #
_CLUSTER_SIZE = CLUSTER_SHAPE_MN[0] * CLUSTER_SHAPE_MN[1]
_MAX_ACTIVE_CLUSTERS = max(1, SM_COUNT // _CLUSTER_SIZE)
- # Problem size caps (not used for scheduling, just metadata)
MAX_M = 512
MAX_N = 7168
MAX_K = 7168
class Sm100GroupedBlockScaledGemmKernel:
- """This example demonstrates an implementation of grouped blockscaled GEMM using a TMA plus Blackwell SM100 TensorCore
- warp-specialized persistent kernel.
-
- :param sf_vec_size: Scalefactor vector size.
- :type sf_vec_size: int
- :param mma_tiler_mn: Shape of the Matrix Multiply-Accumulate (MMA) tile (M,N)
- :type mma_tiler_mn: Tuple[int, int]
- :param cluster_shape_mn: Cluster dimensions (M,N) for parallel processing
- :type cluster_shape_mn: Tuple[int, int]
-
- :note: In current version, A and B tensors must have the same data type
- - i.e., Float8E4M3FN for A and Float8E5M2 for B is not supported
-
- :note: Supported combinations of A/B data types, SF data typs and SF vector size:
- - MXF8: A/B: Float8E5M2/Float8E4M3FN + SF: Float8E8M0FNU + sf_vec_size: 32
- - MXF4: A/B: Float4E2M1FN + SF: Float8E8M0FNU + sf_vec_size: 32
- - NVF4: A/B: Float4E2M1FN + SF: Float8E8M0FNU/Float8E4M3FN + sf_vec_size: 16
-
- :note: Supported accumulator data types:
- - Float32
-
- :note: Supported C data types:
- - Float32
- - Float16/BFloat16
- - Float8E4M3FN/Float8E5M2
- :note: Constraints:
- - MMA tiler M must be 128 or 256 (use_2cta_instrs)
- - MMA tiler N must be 128/256
- - Cluster shape M must be multiple of 2 if Mma tiler M is 256
- - Cluster shape M/N must be positive and power of 2, total cluster size <= 16
- - Cluster shape M/N must be <= 4 for scale factor multicasts due to limited size of scale factors
- """
-
# Size of smem we reserved for mbarrier, tensor memory management and tensormap update
reserved_smem_bytes = RESERVED_SMEM_BYTES
bytes_per_tensormap = BYTES_PER_TENSORMAP
⋯ 251 unchanged lines
by different tensors in global memory. The "initial" tensors only carry data type and
majorness information.
- :param group_count: The number of GEMM groups.
- :type group_count: cutlass.Constexpr[int]
:param problem_sizes_mnkl: (M, N, K, L) shape array for each group.
:type problem_sizes_mnkl: cute.Tensor
:param strides_abc: Strides for A, B, C for each group.
⋯ 2089 unchanged lines
return can_implement
+ # ---------------------------------------------------------------------------
+ # Caches
+ # ---------------------------------------------------------------------------
+ _compiled_kernel_cache = {} # compiled kernel per problem shape
+ _metadata_cache = {} # shape-derived GPU tensors per problem shape
+ _data_ptr_cache = {} # pointer tensors per data identity
+ _DATA_PTR_CACHE_MAX = 64
- # Global cache for compiled kernels
- _compiled_kernel_cache = {}
- # Cache for per-shape metadata tensors (includes pre-allocated buffers)
- _metadata_cache = {}
+ # ---------------------------------------------------------------------------
+ # Helpers
+ # ---------------------------------------------------------------------------
+ _CLUSTER_TILE_MN = tuple(
+ m * c for m, c in zip(MMA_TILER_MN, CLUSTER_SHAPE_MN)
+ )
- def compile_kernel(problem_sizes: List[Tuple[int, int, int, int]]):
- """
- Compile the kernel once and cache it using problem_sizes as the key.
- """
- global _compiled_kernel_cache
+ def _count_clusters(problem_sizes):
+ total = 0
+ for m, n, _, _ in problem_sizes:
+ total += (
+ ((m + _CLUSTER_TILE_MN[0] - 1) // _CLUSTER_TILE_MN[0])
+ * ((n + _CLUSTER_TILE_MN[1] - 1) // _CLUSTER_TILE_MN[1])
+ )
+ return total
+
+
+ def _make_ptr_tensors(abc_tensors, sfasfb_reordered_tensors):
+ abc_ptrs = [
+ [a.data_ptr(), b.data_ptr(), c.data_ptr()]
+ for a, b, c in abc_tensors
+ ]
+ sfasfb_ptrs = [
+ [sfa.data_ptr(), sfb.data_ptr()]
+ for sfa, sfb in sfasfb_reordered_tensors
+ ]
+ return (
+ torch.tensor(abc_ptrs, dtype=torch.int64, device="cuda"),
+ torch.tensor(sfasfb_ptrs, dtype=torch.int64, device="cuda"),
+ )
+
+
+ # ---------------------------------------------------------------------------
+ # Kernel compilation (cached)
+ # ---------------------------------------------------------------------------
+ def compile_kernel(problem_sizes: List[Tuple[int, int, int, int]]):
+ """Compile the kernel once and cache it keyed by problem_sizes."""
num_groups = len(problem_sizes)
- problem_sizes_tuple = tuple(tuple(ps) for ps in problem_sizes)
- cache_key = (num_groups, problem_sizes_tuple)
+ cache_key = (num_groups, tuple(tuple(ps) for ps in problem_sizes))
if cache_key in _compiled_kernel_cache:
return _compiled_kernel_cache[cache_key]
grouped_blockscaled_gemm = Sm100GroupedBlockScaledGemmKernel(
- SF_VEC_SIZE,
- MMA_TILER_MN,
- CLUSTER_SHAPE_MN,
+ SF_VEC_SIZE, MMA_TILER_MN, CLUSTER_SHAPE_MN,
)
- max_active_clusters = _MAX_ACTIVE_CLUSTERS
+ total_num_clusters = cutlass.Int32(_count_clusters(problem_sizes))
- cta_tile_shape_mn = [MMA_TILER_MN[0], MMA_TILER_MN[1]]
- cluster_tile_shape_mn = tuple(
- x * y for x, y in zip(cta_tile_shape_mn, CLUSTER_SHAPE_MN)
- )
- total_num_clusters = 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)
- )
- total_num_clusters += functools.reduce(lambda x, y: x * y, num_clusters_mn)
-
+ # Fake tensors for compilation signature
problem_sizes_fake = cute.runtime.make_fake_compact_tensor(
cutlass.Int32, (num_groups, 4), stride_order=(1, 0)
)
⋯ 8 unchanged lines
)
tensormap_fake = cute.runtime.make_fake_compact_tensor(
cutlass.Int64,
- (
- SM_COUNT,
- Sm100GroupedBlockScaledGemmKernel.num_tensormaps,
- Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8,
- ),
+ (SM_COUNT,
+ Sm100GroupedBlockScaledGemmKernel.num_tensormaps,
+ Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8),
stride_order=(2, 1, 0),
)
- total_num_clusters = cutlass.Int32(total_num_clusters)
compiled_func = cute.compile(
grouped_blockscaled_gemm,
⋯ 4 unchanged lines
ptrs_sfasfb_fake,
tensormap_fake,
total_num_clusters,
- max_active_clusters,
+ _MAX_ACTIVE_CLUSTERS,
options="--opt-level 2 --enable-tvm-ffi",
)
⋯ 1 unchanged lines
return compiled_func
- def custom_kernel(data: input_t) -> output_t:
- """
- Execute the block-scaled group GEMM kernel.
- """
- abc_tensors, _, sfasfb_reordered_tensors, problem_sizes = data
- num_groups = len(problem_sizes)
+ # ---------------------------------------------------------------------------
+ # Shape metadata (cached)
+ # ---------------------------------------------------------------------------
+ def _get_or_build_metadata(problem_sizes, problem_sizes_key):
+ """Return cached (or freshly built) shape-derived GPU tensors."""
+ cached = _metadata_cache.get(problem_sizes_key)
+ if cached is not None:
+ return cached
- compiled_func = compile_kernel(problem_sizes)
+ tensor_of_problem_sizes = torch.tensor(
+ problem_sizes, dtype=torch.int32, device="cuda"
+ )
+ strides_abc = [[(k, 1), (k, 1), (n, 1)] for _, n, k, _ in problem_sizes]
+ tensor_of_strides_abc = torch.tensor(
+ strides_abc, dtype=torch.int32, device="cuda"
+ )
+ tensor_of_tensormap = torch.empty(
+ (SM_COUNT,
+ Sm100GroupedBlockScaledGemmKernel.num_tensormaps,
+ Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8),
+ dtype=torch.int64, device="cuda",
+ )
+ total_num_clusters = _count_clusters(problem_sizes)
- problem_sizes_key = tuple(tuple(ps) for ps in problem_sizes)
- cached_meta = _metadata_cache.get(problem_sizes_key)
- if cached_meta is None:
- tensor_of_problem_sizes = torch.tensor(
- problem_sizes, dtype=torch.int32, device="cuda"
- )
- strides_abc = [[(k, 1), (k, 1), (n, 1)] for _, n, k, _ in problem_sizes]
- tensor_of_strides_abc = torch.tensor(
- strides_abc, dtype=torch.int32, device="cuda"
- )
+ result = (
+ tensor_of_problem_sizes,
+ tensor_of_strides_abc,
+ tensor_of_tensormap,
+ total_num_clusters,
+ )
+ _metadata_cache[problem_sizes_key] = result
+ return result
- cta_tile_shape_mn = [128, MMA_TILER_MN[1]]
- cluster_tile_shape_mn = tuple(
- x * y for x, y in zip(cta_tile_shape_mn, CLUSTER_SHAPE_MN)
- )
- total_num_clusters = 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)
- )
- total_num_clusters += functools.reduce(lambda x, y: x * y, num_clusters_mn)
- sm_count = SM_COUNT
- max_active_clusters = _MAX_ACTIVE_CLUSTERS
- tensormap_shape = (
- sm_count,
- Sm100GroupedBlockScaledGemmKernel.num_tensormaps,
- Sm100GroupedBlockScaledGemmKernel.bytes_per_tensormap // 8,
- )
- tensor_of_tensormap = torch.empty(
- tensormap_shape, dtype=torch.int64, device="cuda"
- )
+ # ---------------------------------------------------------------------------
+ # Pointer tensors (cached by data identity)
+ # ---------------------------------------------------------------------------
+ def _get_or_build_ptrs(data_id, first_ptr, problem_sizes_key,
+ abc_tensors, sfasfb_reordered_tensors):
+ """Return cached (or freshly built) pointer tensors."""
+ cached = _data_ptr_cache.get(data_id)
+ if cached is not None:
+ cf, ck, t_abc, t_sf = cached
+ if cf == first_ptr and ck == problem_sizes_key:
+ return t_abc, t_sf
- # Pre-allocate pinned CPU buffers for fast H2D transfer
- cpu_abc_ptrs = torch.empty((num_groups, 3), dtype=torch.int64, pin_memory=True)
- cpu_sfasfb_ptrs = torch.empty((num_groups, 2), dtype=torch.int64, pin_memory=True)
- # Pre-allocate GPU buffers to avoid per-call allocation
- gpu_abc_ptrs = torch.empty((num_groups, 3), dtype=torch.int64, device="cuda")
- gpu_sfasfb_ptrs = torch.empty((num_groups, 2), dtype=torch.int64, device="cuda")
+ t_abc, t_sf = _make_ptr_tensors(abc_tensors, sfasfb_reordered_tensors)
- cached_meta = (
- tensor_of_problem_sizes,
- tensor_of_strides_abc,
- tensor_of_tensormap,
- total_num_clusters,
- max_active_clusters,
- cpu_abc_ptrs,
- cpu_sfasfb_ptrs,
- gpu_abc_ptrs,
- gpu_sfasfb_ptrs,
- )
- _metadata_cache[problem_sizes_key] = cached_meta
- else:
- (
- tensor_of_problem_sizes,
- tensor_of_strides_abc,
- tensor_of_tensormap,
- total_num_clusters,
- max_active_clusters,
- cpu_abc_ptrs,
- cpu_sfasfb_ptrs,
- gpu_abc_ptrs,
- gpu_sfasfb_ptrs,
- ) = cached_meta
+ if len(_data_ptr_cache) >= _DATA_PTR_CACHE_MAX:
+ _data_ptr_cache.pop(next(iter(_data_ptr_cache)))
+ _data_ptr_cache[data_id] = (first_ptr, problem_sizes_key, t_abc, t_sf)
- # Fill CPU buffers with current pointers (must be done fresh each call)
- # Using direct indexing into pre-allocated pinned memory
- for i in range(num_groups):
- abc = abc_tensors[i]
- sf = sfasfb_reordered_tensors[i]
- cpu_abc_ptrs[i, 0] = abc[0].data_ptr()
- cpu_abc_ptrs[i, 1] = abc[1].data_ptr()
- cpu_abc_ptrs[i, 2] = abc[2].data_ptr()
- cpu_sfasfb_ptrs[i, 0] = sf[0].data_ptr()
- cpu_sfasfb_ptrs[i, 1] = sf[1].data_ptr()
+ return t_abc, t_sf
- # Async copy from pinned CPU to GPU
- gpu_abc_ptrs.copy_(cpu_abc_ptrs, non_blocking=True)
- gpu_sfasfb_ptrs.copy_(cpu_sfasfb_ptrs, non_blocking=True)
- tensor_of_abc_ptrs = gpu_abc_ptrs
- tensor_of_sfasfb_ptrs = gpu_sfasfb_ptrs
+ # ---------------------------------------------------------------------------
+ # Entry point
+ # ---------------------------------------------------------------------------
+ def custom_kernel(data: input_t) -> output_t:
+ """Execute the block-scaled group GEMM kernel."""
+ abc_tensors, _, sfasfb_reordered_tensors, problem_sizes = data
+ num_groups = len(problem_sizes)
+ problem_sizes_key = tuple(tuple(ps) for ps in problem_sizes)
+
+ compiled_func = compile_kernel(problem_sizes)
+
+ (tensor_of_problem_sizes,
+ tensor_of_strides_abc,
+ tensor_of_tensormap,
+ total_num_clusters) = _get_or_build_metadata(problem_sizes, problem_sizes_key)
+
+ tensor_of_abc_ptrs, tensor_of_sfasfb_ptrs = _get_or_build_ptrs(
+ id(data), abc_tensors[0][0].data_ptr(), problem_sizes_key,
+ abc_tensors, sfasfb_reordered_tensors,
+ )
+
compiled_func(
tensor_of_problem_sizes,
tensor_of_strides_abc,
scrolls · 389 diff lines total

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