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submission 375141

novo_force · python · License unknown

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No package. Vendor the mirrored source: 2511 lines, June 9 Researcher Reciprocity License v1.0.

submission.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-modal-nvfp4-dual-gemm-375141?include=source"
interfacepython
Compatibility
measured onNVIDIA B200
declared hardwareNVIDIA B200
architecturessm_100
dtypesfp8_e4m3, nvfp4

Benchmark evidence

1 measurement across 1 GPU, fastest first.

Operation / workload
Hardware
Latency
Rank
Observed
NVFP4 dual GEMMsuite of 4 cases
NVIDIA B200
15.1µs
#65 of 161
2026-01-18

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:f89a09adab008cc024cc590a81b387d7e1b19bc3db9a42b85623d4894b5828ac
license declaredunknown
license concludedunknown
authorsnovo_force
imported2026-08-15

Techniques

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

fused-epilogue_DEBUG_FORCE_EPILOGUE_SYNC = os.environ.get("NVFP4_DEBUG_FORCE_EPILOGUE_SYNC", "0") == "1"
mbarrierself.epilog_sync_barrier = pipeline.NamedBarrier(
shared-memoryself.smem_capacity = utils.get_smem_capacity_in_bytes("sm_100")
tcgen05tcgen05.CtaGroup.ONE,
warp-specializationab_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)

Kernel source

submission.py2511 lines



from typing import Optional, Tuple, Type, Union

import os

os.environ.setdefault("CUTE_DSL_ARCH", "sm_100a")
os.environ.setdefault("TARGET_SM_ARCH", "sm_100a")
os.environ.setdefault("PYTORCH_CUDA_ALLOC_CONF", "expandable_segments:True")

_DEBUG_FORCE_EPILOGUE_SYNC = os.environ.get("NVFP4_DEBUG_FORCE_EPILOGUE_SYNC", "0") == "1"
_SIGMOID_USE_EXP2 = os.environ.get("NVFP4_SIGMOID_USE_EXP2", "0") == "1"
_USE_RCP = os.environ.get("NVFP4_USE_RCP", "0") == "1"
_FORCE_TMEM_512 = os.environ.get("NVFP4_FORCE_TMEM_512", "1") == "1"
_ENABLE_STORE_PIPE = os.environ.get("NVFP4_ENABLE_STORE_PIPE", "0") == "1"
_RANK_CLUSTER_MODE = os.environ.get("NVFP4_RANK_CLUSTER_MODE", "0")
_DIAG_MODE = os.environ.get("NVFP4_DIAG_MODE", "0").lower()
_DIAG_ACC1 = _DIAG_MODE == "acc1"
_DIAG_SINGLE = _DIAG_MODE == "single"
_DIAG_META = _DIAG_MODE == "meta"

import torch
import torch.nn.functional as F

import cutlass
import cutlass.cute as cute
from cutlass.cute.nvgpu import cpasync, tcgen05
import cutlass.cute.math as cmath
from cutlass.cute.runtime import make_ptr
import cutlass.pipeline as pipeline
import cutlass.utils as utils
import cutlass.utils.blackwell_helpers as sm100_utils
import cutlass.utils.blockscaled_layout as blockscaled_utils

ab_dtype = cutlass.Float4E2M1FN
sf_dtype = cutlass.Float8E4M3FN
sf_vec_size = 16

_LOG2E = 1.4426950408889634
_SIGMOID_POS_TH = 8.0
_SIGMOID_NEG_TH = -16.0
_CUTE_EXP2 = getattr(cmath, "exp2", None)
_CUTE_RCP = getattr(cmath, "rcp", None)
if _CUTE_RCP is None:
    _CUTE_RCP = getattr(cmath, "reciprocal", None)
_HAS_RCP = _CUTE_RCP is not None


def _sigmoid_exp_neg(x):
    if _SIGMOID_USE_EXP2 and _CUTE_EXP2 is not None:
        return _CUTE_EXP2(x * cutlass.Float32(_LOG2E))
    return cmath.exp(x, fastmath=True)


class Sm100BlockScaledDenseGemmKernel:
    def __init__(
        self,
        mma_tiler_mn: Tuple[int, int],
        cluster_shape_mn: Tuple[int, int],
        c_dtype: Type[cutlass.Numeric],
    ):
        self.ab_dtype = cutlass.Float4E2M1FN
        self.sf_dtype = cutlass.Float8E4M3FN
        self.acc_dtype = cutlass.Float32
        self.c_dtype = c_dtype
        self.sf_vec_size = 16

        self.epilog_warp_id = (0, 1, 2, 3)
        self.mma_warp_id = 4
        self.tma_warp_id = 5
        self.threads_per_cta = 32 * len(
            (self.mma_warp_id, self.tma_warp_id, *self.epilog_warp_id)
        )

        self.mma_tiler_mn = mma_tiler_mn
        self.cluster_shape_mn = cluster_shape_mn

        self.occupancy = 1

        self.smem_capacity = utils.get_smem_capacity_in_bytes("sm_100")
        self.num_tmem_alloc_cols = 512

        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)),
        )

    def _setup_attributes(self):
        tiled_mma = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.ab_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            tcgen05.CtaGroup.ONE,
            self.mma_tiler_mn,
        )

        mma_inst_tile_k = 4
        mma_inst_shape_k = cute.size(tiled_mma.shape_mnk, mode=[2])

        self.mma_tiler = (
            self.mma_tiler_mn[0],
            self.mma_tiler_mn[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_layout_vmnk = cute.tiled_divide(
            cute.make_layout((*self.cluster_shape_mn, 1)),
            (tiled_mma.thr_id.shape,),
        )

        self.mma_inst_shape_mn_sfb = (
            self.mma_tiler_mn[0],
            cute.round_up(self.mma_tiler_mn[1], 128),
        )

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

        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.cluster_layout_sfb_vmnk = cute.tiled_divide(
            cute.make_layout((*self.cluster_shape_mn, 1)),
            (tiled_mma_sfb.thr_id.shape,),
        )

        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

        self.epi_tile = sm100_utils.compute_epilogue_tile_shape(
            self.cta_tile_shape_mnk,
            False,
            self.c_layout,
            self.c_dtype,
        )
        self.epi_tile_n = cute.size(self.epi_tile[1])
        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,
        )

        ab_stage_cap = 0
        if self.mma_tiler_mn == (128, 128):
            ab_stage_cap = 4
        env_ab_cap = int(os.environ.get("NVFP4_AB_STAGE_CAP", "0"))
        if env_ab_cap > 0:
            ab_stage_cap = env_ab_cap
        if ab_stage_cap > 0 and self.num_ab_stage > ab_stage_cap:
            self.num_ab_stage = ab_stage_cap

        self.prefetch_stage = self.num_ab_stage

        self.a_smem_layout_staged = sm100_utils.make_smem_layout_a(
            tiled_mma,
            self.mma_tiler,
            self.ab_dtype,
            self.num_ab_stage,
        )

        self.b_smem_layout_staged = sm100_utils.make_smem_layout_b(
            tiled_mma,
            self.mma_tiler,
            self.ab_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,
        )

    @cute.jit
    def __call__(
        self,
        a_ptr: cute.Pointer,
        b_ptr: cute.Pointer,
        sfa_ptr: cute.Pointer,
        sfb_ptr: cute.Pointer,
        c_ptr: cute.Pointer,
        m: cutlass.Int32,
        n: cutlass.Int32,
        k: cutlass.Int32,
        l: cutlass.Int32,
    ):
        self.a_dtype: Type[cutlass.Numeric] = a_ptr.value_type
        self.b_dtype: Type[cutlass.Numeric] = b_ptr.value_type
        self.sf_dtype: Type[cutlass.Numeric] = sfa_ptr.value_type
        self.c_dtype: Type[cutlass.Numeric] = c_ptr.value_type

        self.a_major_mode, self.b_major_mode, self.c_layout = (
            tcgen05.OperandMajorMode.K,
            tcgen05.OperandMajorMode.K,
            utils.LayoutEnum.ROW_MAJOR,
        )
        self._setup_attributes()

        a_tensor = cute.make_tensor(
            a_ptr,
            cute.make_ordered_layout(
                (cute.assume(m, 32), k, l), order=(1, 0, 2)
            ),
        )
        b_tensor = cute.make_tensor(
            b_ptr,
            cute.make_ordered_layout(
                (cute.assume(n, 32), k, l), order=(1, 0, 2)
            ),
        )

        c_tensor = cute.make_tensor(
            c_ptr,
            cute.make_ordered_layout(
                (m, cute.assume(n, 32), l), order=(1, 0, 2)
            ),
        )

        sfa_layout = blockscaled_utils.tile_atom_to_shape_SF(
            a_tensor.shape, self.sf_vec_size
        )
        sfa_tensor = cute.make_tensor(sfa_ptr, sfa_layout)

        sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(
            b_tensor.shape, self.sf_vec_size
        )
        sfb_tensor = cute.make_tensor(sfb_ptr, sfb_layout)

        tiled_mma = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.ab_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            tcgen05.CtaGroup.ONE,
            self.mma_tiler_mn,
        )

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

        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,
            a_tensor,
            a_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )

        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,
            b_tensor,
            b_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )

        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,
            sfa_tensor,
            sfa_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
            internal_type=cutlass.Int16,
        )

        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,
            sfb_tensor,
            sfb_smem_layout,
            self.mma_tiler_sfb,
            tiled_mma_sfb,
            self.cluster_layout_sfb_vmnk.shape,
            internal_type=cutlass.Int16,
        )

        atom_thr_size = cute.size(tiled_mma.thr_id.shape)
        a_copy_size = cute.size_in_bytes(self.ab_dtype, a_smem_layout)
        b_copy_size = cute.size_in_bytes(self.ab_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

        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(),
            c_tensor,
            epi_smem_layout,
            self.epi_tile,
        )

        grid = self._compute_grid(c_tensor, self.cta_tile_shape_mnk, self.cluster_shape_mn)

        self.buffer_align_bytes = 1024

        @cute.struct
        class SharedStorage:
            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]
            tmem_dealloc_mbar_ptr: cutlass.Int64
            tmem_holding_buf: cutlass.Int32
            sC: cute.struct.Align[
                cute.struct.MemRange[
                    self.c_dtype, cute.cosize(self.c_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sA: cute.struct.Align[
                cute.struct.MemRange[
                    self.a_dtype, cute.cosize(self.a_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sB: cute.struct.Align[
                cute.struct.MemRange[
                    self.b_dtype, cute.cosize(self.b_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sSFA: cute.struct.Align[
                cute.struct.MemRange[
                    self.sf_dtype, cute.cosize(self.sfa_smem_layout_staged)
                ],
                self.buffer_align_bytes,
            ]
            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

        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,
        ).launch(
            grid=grid,
            block=[self.threads_per_cta, 1, 1],
            cluster=(*self.cluster_shape_mn, 1),
            smem=self.shared_storage.size_in_bytes(),
        )
        return

    @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: Optional[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, None],
        epi_tile: cute.Tile,
    ):
        warp_idx = cute.arch.warp_idx()
        warp_idx = cute.arch.make_warp_uniform(warp_idx)

        if warp_idx == self.tma_warp_id:
            cpasync.prefetch_descriptor(tma_atom_a)
            cpasync.prefetch_descriptor(tma_atom_b)
            cpasync.prefetch_descriptor(tma_atom_sfa)
            cpasync.prefetch_descriptor(tma_atom_sfb)
            cpasync.prefetch_descriptor(tma_atom_c)

        bidx, bidy, bidz = cute.arch.block_idx()
        mma_tile_coord_v = bidx % cute.size(tiled_mma.thr_id.shape)
        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)

        cta_coord = (bidx, bidy, bidz)
        mma_tile_coord_mnl = (
            cta_coord[0] // cute.size(tiled_mma.thr_id.shape),
            cta_coord[1],
            cta_coord[2],
        )

        tidx, _, _ = cute.arch.thread_idx()

        smem = utils.SmemAllocator()
        storage = smem.allocate(self.shared_storage)

        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.PipelineTmaAsync.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,
        )

        acc_pipeline_producer_group = pipeline.CooperativeGroup(pipeline.Agent.Thread)
        num_acc_consumer_threads = len(self.epilog_warp_id)
        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,
        )

        tmem = utils.TmemAllocator(
            storage.tmem_holding_buf,
            barrier_for_retrieve=self.tmem_alloc_barrier,
            allocator_warp_id=self.epilog_warp_id[0],
        )

        cute.arch.cluster_arrive_relaxed()

        sC = storage.sC.get_tensor(c_smem_layout_staged.outer, swizzle=c_smem_layout_staged.inner)
        sA = storage.sA.get_tensor(a_smem_layout_staged.outer, swizzle=a_smem_layout_staged.inner)
        sB = storage.sB.get_tensor(b_smem_layout_staged.outer, swizzle=b_smem_layout_staged.inner)
        sSFA = storage.sSFA.get_tensor(sfa_smem_layout_staged)
        sSFB = storage.sSFB.get_tensor(sfb_smem_layout_staged)

        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
        )

        gA_mkl = cute.local_tile(
            mA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None)
        )
        gB_nkl = cute.local_tile(
            mB_nkl, cute.slice_(self.mma_tiler, (0, None, None)), (None, None, None)
        )
        gSFA_mkl = cute.local_tile(
            mSFA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None)
        )
        gSFB_nkl = cute.local_tile(
            mSFB_nkl,
            cute.slice_(self.mma_tiler_sfb, (0, None, None)),
            (None, None, None),
        )
        gC_mnl = cute.local_tile(
            mC_mnl, cute.slice_(self.mma_tiler, (None, None, 0)), (None, None, None)
        )
        k_block_cnt = cute.size(gA_mkl, mode=[3])

        thr_mma = tiled_mma.get_slice(mma_tile_coord_v)
        thr_mma_sfb = tiled_mma_sfb.get_slice(mma_tile_coord_v)

        tCgA = thr_mma.partition_A(gA_mkl)
        tCgB = thr_mma.partition_B(gB_nkl)
        tCgSFA = thr_mma.partition_A(gSFA_mkl)
        tCgSFB = thr_mma_sfb.partition_B(gSFB_nkl)
        tCgC = thr_mma.partition_C(gC_mnl)

        a_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_vmnk, (0, 0, None, 0)).shape
        )
        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),
        )

        b_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_vmnk, (0, None, 0, 0)).shape
        )
        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),
        )

        sfa_cta_layout = a_cta_layout
        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)

        sfb_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_sfb_vmnk, (0, None, 0, 0)).shape
        )
        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)

        tCrA = tiled_mma.make_fragment_A(sA)
        tCrB = tiled_mma.make_fragment_B(sB)
        acc_shape = tiled_mma.partition_shape_C(self.mma_tiler[:2])
        tCtAcc_fake = tiled_mma.make_fragment_C(acc_shape)

        cute.arch.cluster_wait()

        if warp_idx == self.tma_warp_id:
            ab_producer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Producer, self.num_ab_stage
            )

            tAgA_slice = tAgA[(None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2])]
            tBgB_slice = tBgB[(None, mma_tile_coord_mnl[1], None, mma_tile_coord_mnl[2])]
            tAgSFA_slice = tAgSFA[(None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2])]
            slice_n = mma_tile_coord_mnl[1]
            if cutlass.const_expr(self.cta_tile_shape_mnk[1] == 64):
                slice_n = mma_tile_coord_mnl[1] // 2
            tBgSFB_slice = tBgSFB[(None, slice_n, None, mma_tile_coord_mnl[2])]

            for prefetch_tile in cutlass.range(0, self.prefetch_stage, unroll=1):
                cute.prefetch(tma_atom_a, tAgA_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_b, tBgB_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_sfa, tAgSFA_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_sfb, tBgSFB_slice[(None, prefetch_tile)])

            peek_ab_empty_status = ab_pipeline.producer_try_acquire(ab_producer_state)

            for k_block_idx in cutlass.range(0, k_block_cnt, 1, unroll=1):
                ab_pipeline.producer_acquire(ab_producer_state, peek_ab_empty_status)

                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,
                )
                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,
                )
                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,
                )
                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,
                )

                if k_block_idx < k_block_cnt - self.prefetch_stage:
                    next_k_idx = ab_producer_state.count + self.prefetch_stage
                    cute.prefetch(tma_atom_a, tAgA_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_b, tBgB_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_sfa, tAgSFA_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_sfb, tBgSFB_slice[(None, next_k_idx)])

                ab_producer_state.advance()
                if ab_producer_state.count < k_block_cnt:
                    peek_ab_empty_status = ab_pipeline.producer_try_acquire(
                        ab_producer_state
                    )

            ab_pipeline.producer_tail(ab_producer_state)

        elif warp_idx == self.mma_warp_id:
            tmem.wait_for_alloc()
            acc_tmem_ptr = tmem.retrieve_ptr(self.acc_dtype)
            tCtAcc = cute.make_tensor(acc_tmem_ptr, tCtAcc_fake.layout)

            sfa_tmem_ptr = cute.recast_ptr(
                acc_tmem_ptr + tcgen05.find_tmem_tensor_col_offset(tCtAcc),
                dtype=self.sf_dtype,
            )
            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)
            sfb_tmem_ptr = cute.recast_ptr(
                acc_tmem_ptr
                + tcgen05.find_tmem_tensor_col_offset(tCtAcc)
                + tcgen05.find_tmem_tensor_col_offset(tCtSFA),
                dtype=self.sf_dtype,
            )
            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)

            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)
            )

            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
            )
            peek_ab_full_status = ab_pipeline.consumer_try_wait(ab_consumer_state)

            tCtSFB_mma = tCtSFB
            if cutlass.const_expr(self.cta_tile_shape_mnk[1] == 64):
                offset = cutlass.Int32((mma_tile_coord_mnl[1] % 2) * 2)
                shifted_ptr = cute.recast_ptr(
                    acc_tmem_ptr
                    + tcgen05.find_tmem_tensor_col_offset(tCtAcc)
                    + tcgen05.find_tmem_tensor_col_offset(tCtSFA)
                    + offset,
                    dtype=self.sf_dtype,
                )
                tCtSFB_mma = cute.make_tensor(shifted_ptr, tCtSFB_layout)

            for k_block_idx in range(k_block_cnt):
                ab_pipeline.consumer_wait(ab_consumer_state, peek_ab_full_status)

                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,
                )

                num_kphases = cute.size(tCrA, mode=[2])
                for kphase_idx in cutlass.range(num_kphases, unroll_full=True):
                    kphase_coord = (None, None, kphase_idx, ab_consumer_state.index)
                    sf_kphase_coord = (None, None, kphase_idx)
                    tiled_mma.set(tcgen05.Field.SFA, tCtSFA[sf_kphase_coord].iterator)
                    tiled_mma.set(tcgen05.Field.SFB, tCtSFB_mma[sf_kphase_coord].iterator)

                    if k_block_idx == 0 and kphase_idx == 0:
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, False)
                    else:
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, True)

                    cute.gemm(
                        tiled_mma,
                        tCtAcc,
                        tCrA[kphase_coord],
                        tCrB[kphase_coord],
                        tCtAcc,
                    )

                ab_pipeline.consumer_release(ab_consumer_state)
                ab_consumer_state.advance()
                if ab_consumer_state.count < k_block_cnt:
                    peek_ab_full_status = ab_pipeline.consumer_try_wait(
                        ab_consumer_state
                    )

            acc_pipeline.producer_commit(acc_producer_state)

        elif warp_idx in self.epilog_warp_id:
            tmem.allocate(self.num_tmem_alloc_cols)
            tmem.wait_for_alloc()
            acc_tmem_ptr = tmem.retrieve_ptr(self.acc_dtype)
            tCtAcc = cute.make_tensor(acc_tmem_ptr, tCtAcc_fake.layout)

            tiled_copy_t2r, tTR_tAcc, tTR_rAcc = self.epilog_tmem_copy_and_partition(
                tidx, tCtAcc, tCgC, epi_tile
            )

            tTR_rC = cute.make_fragment(tTR_rAcc.shape, self.c_dtype)
            tiled_copy_r2s, tRS_rC, tRS_sC = self.epilog_smem_copy_and_partition(
                tiled_copy_t2r, tTR_rC, tidx, sC
            )
            tma_atom_c, bSG_sC, bSG_gC = self.epilog_gmem_copy_and_partition(
                tidx, tma_atom_c, tCgC, epi_tile, sC
            )
            bSG_gC = bSG_gC[(None, None, None, *mma_tile_coord_mnl)]

            acc_consumer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Consumer, self.num_acc_stage
            )
            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))

            subtile_cnt = cute.size(tTR_tAcc.shape, mode=[3])
            for subtile_idx in range(subtile_cnt):
                tTR_tAcc_mn = tTR_tAcc[(None, None, None, subtile_idx)]
                cute.copy(tiled_copy_t2r, tTR_tAcc_mn, tTR_rAcc)

                tRS_rC.store(tTR_rAcc.load().to(self.c_dtype))

                cute.copy(
                    tiled_copy_r2s,
                    tRS_rC,
                    tRS_sC[(None, None, None, subtile_idx)],
                )
                cute.arch.fence_view_async_shared()

                if warp_idx == self.epilog_warp_id[0]:
                    cute.copy(
                        tma_atom_c,
                        bSG_sC[(None, subtile_idx)],
                        bSG_gC[(None, subtile_idx)],
                    )

            tmem.relinquish_alloc_permit()
            tmem.free(acc_tmem_ptr)

    def mainloop_s2t_copy_and_partition(
        self,
        sSF: cute.Tensor,
        tSF: cute.Tensor,
    ) -> Tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]:
        tCsSF_compact = cute.filter_zeros(sSF)
        tCtSF_compact = cute.filter_zeros(tSF)
        copy_atom_s2t = cute.make_copy_atom(
            tcgen05.Cp4x32x128bOp(tcgen05.CtaGroup.ONE),
            self.sf_dtype,
        )
        tiled_copy_s2t = tcgen05.make_s2t_copy(copy_atom_s2t, tCtSF_compact)
        thr_copy_s2t = tiled_copy_s2t.get_slice(0)
        tCsSF_compact_s2t_ = thr_copy_s2t.partition_S(tCsSF_compact)
        tCsSF_compact_s2t = tcgen05.get_s2t_smem_desc_tensor(
            tiled_copy_s2t, tCsSF_compact_s2t_
        )
        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]:
        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,
        )
        tAcc_epi = cute.flat_divide(tAcc[((None, None), 0, 0)], epi_tile)
        tiled_copy_t2r = tcgen05.make_tmem_copy(
            copy_atom_t2r, tAcc_epi[(None, None, 0, 0)]
        )
        thr_copy_t2r = tiled_copy_t2r.get_slice(tidx)
        tTR_tAcc = thr_copy_t2r.partition_S(tAcc_epi)

        gC_mnl_epi = cute.flat_divide(
            gC_mnl[((None, None), 0, 0, None, None, None)], epi_tile
        )
        tTR_gC = thr_copy_t2r.partition_D(gC_mnl_epi)
        tTR_rAcc = cute.make_fragment(
            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]:
        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)
        thr_copy_r2s = tiled_copy_r2s.get_slice(tidx)
        tRS_sC = thr_copy_r2s.partition_D(sC)
        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]:
        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)
        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]:
        num_acc_stage = 1
        num_c_stage = 3
        a_smem_layout_stage_one = sm100_utils.make_smem_layout_a(
            tiled_mma,
            mma_tiler_mnk,
            a_dtype,
            1,
        )
        b_smem_layout_staged_one = sm100_utils.make_smem_layout_b(
            tiled_mma,
            mma_tiler_mnk,
            b_dtype,
            1,
        )
        sfa_smem_layout_staged_one = blockscaled_utils.make_smem_layout_sfa(
            tiled_mma,
            mma_tiler_mnk,
            sf_vec_size,
            1,
        )
        sfb_smem_layout_staged_one = blockscaled_utils.make_smem_layout_sfb(
            tiled_mma,
            mma_tiler_mnk,
            sf_vec_size,
            1,
        )
        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
        num_ab_stage = (smem_capacity - (mbar_helpers_bytes + c_bytes)) // ab_bytes_per_stage
        num_c_stage += (
            smem_capacity - ab_bytes_per_stage * num_ab_stage - (mbar_helpers_bytes + c_bytes)
        ) // (c_bytes_per_stage)
        return num_acc_stage, num_ab_stage, num_c_stage

    @staticmethod
    def _compute_grid(
        c: cute.Tensor,
        cta_tile_shape_mnk: Tuple[int, int, int],
        cluster_shape_mn: Tuple[int, int],
    ) -> Tuple[int, int, int]:
        grid = (
            cute.ceil_div(c.layout.shape[0], cta_tile_shape_mnk[0]),
            cute.ceil_div(c.layout.shape[1], cta_tile_shape_mnk[1]),
            c.layout.shape[2],
        )
        return grid


class Sm100BlockScaledDualGemmKernel:
    def __init__(
        self,
        mma_tiler_mn: Tuple[int, int],
        cluster_shape_mn: Tuple[int, int],
        c_dtype: Type[cutlass.Numeric],
        ab_stage_cap: int = 0,
    ):
        self.ab_dtype = cutlass.Float4E2M1FN
        self.sf_dtype = cutlass.Float8E4M3FN
        self.acc_dtype = cutlass.Float32
        self.c_dtype = c_dtype
        self.sf_vec_size = 16

        self.epilog_warp_id = (0, 1, 2, 3)
        self.mma_warp_id = 4
        self.tma_warp_id = 5
        self.threads_per_cta = 32 * len(
            (self.mma_warp_id, self.tma_warp_id, *self.epilog_warp_id)
        )

        self.mma_tiler_mn = mma_tiler_mn
        self.cluster_shape_mn = cluster_shape_mn
        self.ab_stage_cap = ab_stage_cap

        self.occupancy = 1

        self.smem_capacity = utils.get_smem_capacity_in_bytes("sm_100")
        self.num_tmem_alloc_cols = 512

        self.tmem_alloc_barrier = pipeline.NamedBarrier(
            barrier_id=2,
            num_threads=32 * len((self.mma_warp_id, *self.epilog_warp_id)),
        )
        self.epilog_sync_barrier = pipeline.NamedBarrier(
            barrier_id=1,
            num_threads=32 * len(self.epilog_warp_id),
        )

    def _setup_attributes(self, ref_ptr: cute.Pointer):
        tiled_mma = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.ab_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            tcgen05.CtaGroup.ONE,
            self.mma_tiler_mn,
        )

        mma_inst_tile_k = 4
        mma_inst_shape_k = cute.size(tiled_mma.shape_mnk, mode=[2])

        self.mma_tiler = (
            self.mma_tiler_mn[0],
            self.mma_tiler_mn[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_layout_vmnk = cute.tiled_divide(
            cute.make_layout((*self.cluster_shape_mn, 1)),
            (tiled_mma.thr_id.shape,),
        )

        self.mma_inst_shape_mn_sfb = (
            self.mma_tiler_mn[0],
            cute.round_up(self.mma_tiler_mn[1], 128),
        )

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

        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.cluster_layout_sfb_vmnk = cute.tiled_divide(
            cute.make_layout((*self.cluster_shape_mn, 1)),
            (tiled_mma_sfb.thr_id.shape,),
        )

        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.epi_tile = sm100_utils.compute_epilogue_tile_shape(
            self.cta_tile_shape_mnk,
            False,
            self.c_layout,
            self.c_dtype,
        )
        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,
        )

        ab_stage_cap = int(self.ab_stage_cap)
        if ab_stage_cap > 0 and self.num_ab_stage > ab_stage_cap:
            self.num_ab_stage = ab_stage_cap

        self.prefetch_stage = self.num_ab_stage

        self.a_smem_layout_staged = sm100_utils.make_smem_layout_a(
            tiled_mma,
            self.mma_tiler,
            self.ab_dtype,
            self.num_ab_stage,
        )
        self.b_smem_layout_staged = sm100_utils.make_smem_layout_b(
            tiled_mma,
            self.mma_tiler,
            self.ab_dtype,
            self.num_ab_stage,
        )
        self.b2_smem_layout_staged = sm100_utils.make_smem_layout_b(
            tiled_mma,
            self.mma_tiler,
            self.ab_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.sfb2_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,
        )

        acc_shape = tiled_mma.partition_shape_C(self.mma_tiler[:2])
        tCtAcc_fake = tiled_mma.make_fragment_C(acc_shape)
        fake_base_ptr = cute.recast_ptr(ref_ptr, dtype=self.acc_dtype)
        tCtAcc_0 = cute.make_tensor(fake_base_ptr, tCtAcc_fake.layout)
        acc_cols_0 = tcgen05.find_tmem_tensor_col_offset(tCtAcc_0)
        tCtAcc_1 = cute.make_tensor(fake_base_ptr + acc_cols_0, tCtAcc_fake.layout)
        acc_cols_1 = tcgen05.find_tmem_tensor_col_offset(tCtAcc_1)

        sf_base_ptr = fake_base_ptr + acc_cols_0 + acc_cols_1
        sfa_tmem_ptr = cute.recast_ptr(sf_base_ptr, dtype=self.sf_dtype)
        tCtSFA_layout = blockscaled_utils.make_tmem_layout_sfa(
            tiled_mma,
            self.mma_tiler,
            self.sf_vec_size,
            cute.slice_(self.sfa_smem_layout_staged, (None, None, None, 0)),
        )
        tCtSFA = cute.make_tensor(sfa_tmem_ptr, tCtSFA_layout)
        sfa_cols = tcgen05.find_tmem_tensor_col_offset(tCtSFA)

        tCtSFB_layout = blockscaled_utils.make_tmem_layout_sfb(
            tiled_mma,
            self.mma_tiler,
            self.sf_vec_size,
            cute.slice_(self.sfb_smem_layout_staged, (None, None, None, 0)),
        )
        tCtSFB1_0 = cute.make_tensor(
            cute.recast_ptr(sf_base_ptr + sfa_cols, dtype=self.sf_dtype),
            tCtSFB_layout,
        )
        sfb1_cols = tcgen05.find_tmem_tensor_col_offset(tCtSFB1_0)
        tCtSFB2_0 = cute.make_tensor(
            cute.recast_ptr(sf_base_ptr + sfa_cols + sfb1_cols, dtype=self.sf_dtype),
            tCtSFB_layout,
        )
        sfb2_cols = tcgen05.find_tmem_tensor_col_offset(tCtSFB2_0)

        total_cols = acc_cols_0 + acc_cols_1 + sfa_cols + sfb1_cols + sfb2_cols
        if self.mma_tiler_mn == (128, 128):
            total_cols = acc_cols_0 + acc_cols_1 + sfa_cols + sfb1_cols
        if self.cta_tile_shape_mnk[1] == 64:
            total_cols += 2
        needed_cols = int(total_cols)
        if needed_cols <= 32:
            self.num_tmem_alloc_cols = 32
        elif needed_cols <= 64:
            self.num_tmem_alloc_cols = 64
        elif needed_cols <= 128:
            self.num_tmem_alloc_cols = 128
        elif needed_cols <= 256:
            self.num_tmem_alloc_cols = 256
        elif needed_cols <= 512:
            self.num_tmem_alloc_cols = 512
        else:
            raise ValueError(f"TMEM cols budget exceeded: needed_cols={needed_cols}")

        if _FORCE_TMEM_512 and self.mma_tiler_mn == (128, 128) and self.num_tmem_alloc_cols < 512:
            self.num_tmem_alloc_cols = 512

    @cute.jit
    def __call__(
        self,
        a_ptr: cute.Pointer,
        b1_ptr: cute.Pointer,
        b2_ptr: cute.Pointer,
        sfa_ptr: cute.Pointer,
        sfb1_ptr: cute.Pointer,
        sfb2_ptr: cute.Pointer,
        c_ptr: cute.Pointer,
        m: cutlass.Int32,
        n: cutlass.Int32,
        k: cutlass.Int32,
        l: cutlass.Int32,
    ):
        self.a_dtype: Type[cutlass.Numeric] = a_ptr.value_type
        self.b_dtype: Type[cutlass.Numeric] = b1_ptr.value_type
        self.sf_dtype: Type[cutlass.Numeric] = sfa_ptr.value_type
        self.c_dtype: Type[cutlass.Numeric] = c_ptr.value_type

        self.a_major_mode, self.b_major_mode, self.c_layout = (
            tcgen05.OperandMajorMode.K,
            tcgen05.OperandMajorMode.K,
            utils.LayoutEnum.ROW_MAJOR,
        )
        self._setup_attributes(c_ptr)

        a_tensor = cute.make_tensor(
            a_ptr,
            cute.make_ordered_layout(
                (cute.assume(m, 32), k, l), order=(1, 0, 2)
            ),
        )
        b1_tensor = cute.make_tensor(
            b1_ptr,
            cute.make_ordered_layout(
                (cute.assume(n, 32), k, l), order=(1, 0, 2)
            ),
        )
        b2_tensor = cute.make_tensor(
            b2_ptr,
            cute.make_ordered_layout(
                (cute.assume(n, 32), k, l), order=(1, 0, 2)
            ),
        )

        c_tensor = cute.make_tensor(
            c_ptr,
            cute.make_ordered_layout(
                (m, cute.assume(n, 32), l), order=(1, 0, 2)
            ),
        )

        sfa_layout = blockscaled_utils.tile_atom_to_shape_SF(
            a_tensor.shape, self.sf_vec_size
        )
        sfa_tensor = cute.make_tensor(sfa_ptr, sfa_layout)

        sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(
            b1_tensor.shape, self.sf_vec_size
        )
        sfb1_tensor = cute.make_tensor(sfb1_ptr, sfb_layout)
        sfb2_tensor = cute.make_tensor(sfb2_ptr, sfb_layout)

        tiled_mma = sm100_utils.make_blockscaled_trivial_tiled_mma(
            self.ab_dtype,
            self.a_major_mode,
            self.b_major_mode,
            self.sf_dtype,
            self.sf_vec_size,
            tcgen05.CtaGroup.ONE,
            self.mma_tiler_mn,
        )

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

        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,
            a_tensor,
            a_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )

        b_op = sm100_utils.cluster_shape_to_tma_atom_B(
            self.cluster_shape_mn, tiled_mma.thr_id
        )
        b1_smem_layout = cute.slice_(self.b_smem_layout_staged, (None, None, None, 0))
        b2_smem_layout = cute.slice_(self.b2_smem_layout_staged, (None, None, None, 0))
        tma_atom_b1, tma_tensor_b1 = cute.nvgpu.make_tiled_tma_atom_B(
            b_op,
            b1_tensor,
            b1_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )
        tma_atom_b2, tma_tensor_b2 = cute.nvgpu.make_tiled_tma_atom_B(
            b_op,
            b2_tensor,
            b2_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
        )

        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,
            sfa_tensor,
            sfa_smem_layout,
            self.mma_tiler,
            tiled_mma,
            self.cluster_layout_vmnk.shape,
            internal_type=cutlass.Int16,
        )

        sfb_op = sm100_utils.cluster_shape_to_tma_atom_SFB(
            self.cluster_shape_mn, tiled_mma.thr_id
        )
        sfb1_smem_layout = cute.slice_(self.sfb_smem_layout_staged, (None, None, None, 0))
        sfb2_smem_layout = cute.slice_(self.sfb2_smem_layout_staged, (None, None, None, 0))
        tma_atom_sfb1, tma_tensor_sfb1 = cute.nvgpu.make_tiled_tma_atom_B(
            sfb_op,
            sfb1_tensor,
            sfb1_smem_layout,
            self.mma_tiler_sfb,
            tiled_mma_sfb,
            self.cluster_layout_sfb_vmnk.shape,
            internal_type=cutlass.Int16,
        )
        tma_atom_sfb2, tma_tensor_sfb2 = cute.nvgpu.make_tiled_tma_atom_B(
            sfb_op,
            sfb2_tensor,
            sfb2_smem_layout,
            self.mma_tiler_sfb,
            tiled_mma_sfb,
            self.cluster_layout_sfb_vmnk.shape,
            internal_type=cutlass.Int16,
        )

        atom_thr_size = cute.size(tiled_mma.thr_id.shape)
        a_copy_size = cute.size_in_bytes(self.ab_dtype, a_smem_layout)
        b1_copy_size = cute.size_in_bytes(self.ab_dtype, b1_smem_layout)
        b2_copy_size = cute.size_in_bytes(self.ab_dtype, b2_smem_layout)
        sfa_copy_size = cute.size_in_bytes(self.sf_dtype, sfa_smem_layout)
        sfb1_copy_size = cute.size_in_bytes(self.sf_dtype, sfb1_smem_layout)
        sfb2_copy_size = cute.size_in_bytes(self.sf_dtype, sfb2_smem_layout)
        self.num_tma_load_bytes = (
            a_copy_size
            + b1_copy_size
            + b2_copy_size
            + sfa_copy_size
            + sfb1_copy_size
            + sfb2_copy_size
        ) * atom_thr_size

        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(), c_tensor, epi_smem_layout, self.epi_tile
        )

        grid = Sm100BlockScaledDenseGemmKernel._compute_grid(
            c_tensor, self.cta_tile_shape_mnk, self.cluster_shape_mn
        )

        self.buffer_align_bytes = 1024

        @cute.struct
        class SharedStorage:
            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]
            tmem_dealloc_mbar_ptr: cutlass.Int64
            tmem_holding_buf: cutlass.Int32
            sC: cute.struct.Align[
                cute.struct.MemRange[
                    self.c_dtype, cute.cosize(self.c_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sA: cute.struct.Align[
                cute.struct.MemRange[
                    self.a_dtype, cute.cosize(self.a_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sB1: cute.struct.Align[
                cute.struct.MemRange[
                    self.b_dtype, cute.cosize(self.b_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sB2: cute.struct.Align[
                cute.struct.MemRange[
                    self.b_dtype, cute.cosize(self.b2_smem_layout_staged.outer)
                ],
                self.buffer_align_bytes,
            ]
            sSFA: cute.struct.Align[
                cute.struct.MemRange[
                    self.sf_dtype, cute.cosize(self.sfa_smem_layout_staged)
                ],
                self.buffer_align_bytes,
            ]
            sSFB1: cute.struct.Align[
                cute.struct.MemRange[
                    self.sf_dtype, cute.cosize(self.sfb_smem_layout_staged)
                ],
                self.buffer_align_bytes,
            ]
            sSFB2: cute.struct.Align[
                cute.struct.MemRange[
                    self.sf_dtype, cute.cosize(self.sfb2_smem_layout_staged)
                ],
                self.buffer_align_bytes,
            ]

        self.shared_storage = SharedStorage

        self.kernel(
            tiled_mma,
            tiled_mma_sfb,
            tma_atom_a,
            tma_tensor_a,
            tma_atom_b1,
            tma_tensor_b1,
            tma_atom_b2,
            tma_tensor_b2,
            tma_atom_sfa,
            tma_tensor_sfa,
            tma_atom_sfb1,
            tma_tensor_sfb1,
            tma_atom_sfb2,
            tma_tensor_sfb2,
            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.b2_smem_layout_staged,
            self.sfa_smem_layout_staged,
            self.sfb_smem_layout_staged,
            self.sfb2_smem_layout_staged,
            self.c_smem_layout_staged,
            self.epi_tile,
        ).launch(
            grid=grid,
            block=[self.threads_per_cta, 1, 1],
            cluster=(*self.cluster_shape_mn, 1),
            smem=self.shared_storage.size_in_bytes(),
        )
        return

    @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_b1: cute.CopyAtom,
        mB1_nkl: cute.Tensor,
        tma_atom_b2: cute.CopyAtom,
        mB2_nkl: cute.Tensor,
        tma_atom_sfa: cute.CopyAtom,
        mSFA_mkl: cute.Tensor,
        tma_atom_sfb1: cute.CopyAtom,
        mSFB1_nkl: cute.Tensor,
        tma_atom_sfb2: cute.CopyAtom,
        mSFB2_nkl: cute.Tensor,
        tma_atom_c: Optional[cute.CopyAtom],
        mC_mnl: cute.Tensor,
        cluster_layout_vmnk: cute.Layout,
        cluster_layout_sfb_vmnk: cute.Layout,
        a_smem_layout_staged: cute.ComposedLayout,
        b1_smem_layout_staged: cute.ComposedLayout,
        b2_smem_layout_staged: cute.ComposedLayout,
        sfa_smem_layout_staged: cute.Layout,
        sfb1_smem_layout_staged: cute.Layout,
        sfb2_smem_layout_staged: cute.Layout,
        c_smem_layout_staged: Union[cute.Layout, cute.ComposedLayout, None],
        epi_tile: cute.Tile,
    ):
        warp_idx = cute.arch.make_warp_uniform(cute.arch.warp_idx())

        if warp_idx == self.tma_warp_id:
            cpasync.prefetch_descriptor(tma_atom_a)
            cpasync.prefetch_descriptor(tma_atom_b1)
            cpasync.prefetch_descriptor(tma_atom_b2)
            cpasync.prefetch_descriptor(tma_atom_sfa)
            cpasync.prefetch_descriptor(tma_atom_sfb1)
            cpasync.prefetch_descriptor(tma_atom_sfb2)
            cpasync.prefetch_descriptor(tma_atom_c)

        bidx, bidy, bidz = cute.arch.block_idx()
        mma_tile_coord_v = bidx % cute.size(tiled_mma.thr_id.shape)
        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)

        mma_tile_coord_mnl = (
            bidx // cute.size(tiled_mma.thr_id.shape),
            bidy,
            bidz,
        )
        tidx, _, _ = cute.arch.thread_idx()

        smem = utils.SmemAllocator()
        storage = smem.allocate(self.shared_storage)

        ab_pipeline = pipeline.PipelineTmaAsync.create(
            barrier_storage=storage.ab_full_mbar_ptr.data_ptr(),
            num_stages=self.num_ab_stage,
            producer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread),
            consumer_group=pipeline.CooperativeGroup(
                pipeline.Agent.Thread, self.num_mcast_ctas_a + self.num_mcast_ctas_b - 1
            ),
            tx_count=self.num_tma_load_bytes,
            cta_layout_vmnk=cluster_layout_vmnk,
            defer_sync=True,
        )
        acc_pipeline = pipeline.PipelineUmmaAsync.create(
            barrier_storage=storage.acc_full_mbar_ptr.data_ptr(),
            num_stages=self.num_acc_stage,
            producer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread),
            consumer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread, len(self.epilog_warp_id)),
            cta_layout_vmnk=cluster_layout_vmnk,
        )

        tmem = utils.TmemAllocator(
            storage.tmem_holding_buf,
            barrier_for_retrieve=self.tmem_alloc_barrier,
            allocator_warp_id=self.epilog_warp_id[0],
        )

        cute.arch.cluster_arrive_relaxed()

        sC = storage.sC.get_tensor(
            c_smem_layout_staged.outer, swizzle=c_smem_layout_staged.inner
        )
        sA = storage.sA.get_tensor(
            a_smem_layout_staged.outer, swizzle=a_smem_layout_staged.inner
        )
        sB1 = storage.sB1.get_tensor(
            b1_smem_layout_staged.outer, swizzle=b1_smem_layout_staged.inner
        )
        sB2 = storage.sB2.get_tensor(
            b2_smem_layout_staged.outer, swizzle=b2_smem_layout_staged.inner
        )
        sSFA = storage.sSFA.get_tensor(sfa_smem_layout_staged)
        sSFB1 = storage.sSFB1.get_tensor(sfb1_smem_layout_staged)
        sSFB2 = storage.sSFB2.get_tensor(sfb2_smem_layout_staged)

        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
        )

        gA_mkl = cute.local_tile(
            mA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None)
        )
        gB1_nkl = cute.local_tile(
            mB1_nkl, cute.slice_(self.mma_tiler, (0, None, None)), (None, None, None)
        )
        gB2_nkl = cute.local_tile(
            mB2_nkl, cute.slice_(self.mma_tiler, (0, None, None)), (None, None, None)
        )
        gSFA_mkl = cute.local_tile(
            mSFA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None)
        )
        gSFB1_nkl = cute.local_tile(
            mSFB1_nkl,
            cute.slice_(self.mma_tiler_sfb, (0, None, None)),
            (None, None, None),
        )
        gSFB2_nkl = cute.local_tile(
            mSFB2_nkl,
            cute.slice_(self.mma_tiler_sfb, (0, None, None)),
            (None, None, None),
        )
        gC_mnl = cute.local_tile(
            mC_mnl, cute.slice_(self.mma_tiler, (None, None, 0)), (None, None, None)
        )
        k_block_cnt = cute.size(gA_mkl, mode=[3])

        thr_mma = tiled_mma.get_slice(mma_tile_coord_v)
        thr_mma_sfb = tiled_mma_sfb.get_slice(mma_tile_coord_v)

        tCgA = thr_mma.partition_A(gA_mkl)
        tCgB1 = thr_mma.partition_B(gB1_nkl)
        tCgB2 = thr_mma.partition_B(gB2_nkl)
        tCgSFA = thr_mma.partition_A(gSFA_mkl)
        tCgSFB1 = thr_mma_sfb.partition_B(gSFB1_nkl)
        tCgSFB2 = thr_mma_sfb.partition_B(gSFB2_nkl)
        tCgC = thr_mma.partition_C(gC_mnl)

        a_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_vmnk, (0, 0, None, 0)).shape
        )
        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),
        )

        b_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_vmnk, (0, None, 0, 0)).shape
        )
        tBsB1, tBgB1 = cpasync.tma_partition(
            tma_atom_b1,
            block_in_cluster_coord_vmnk[1],
            b_cta_layout,
            cute.group_modes(sB1, 0, 3),
            cute.group_modes(tCgB1, 0, 3),
        )
        tBsB2, tBgB2 = cpasync.tma_partition(
            tma_atom_b2,
            block_in_cluster_coord_vmnk[1],
            b_cta_layout,
            cute.group_modes(sB2, 0, 3),
            cute.group_modes(tCgB2, 0, 3),
        )

        tAsSFA, tAgSFA = cute.nvgpu.cpasync.tma_partition(
            tma_atom_sfa,
            block_in_cluster_coord_vmnk[2],
            a_cta_layout,
            cute.group_modes(sSFA, 0, 3),
            cute.group_modes(tCgSFA, 0, 3),
        )
        tAsSFA = cute.filter_zeros(tAsSFA)
        tAgSFA = cute.filter_zeros(tAgSFA)

        sfb_cta_layout = cute.make_layout(
            cute.slice_(cluster_layout_sfb_vmnk, (0, None, 0, 0)).shape
        )
        tBsSFB1, tBgSFB1 = cute.nvgpu.cpasync.tma_partition(
            tma_atom_sfb1,
            block_in_cluster_coord_sfb_vmnk[1],
            sfb_cta_layout,
            cute.group_modes(sSFB1, 0, 3),
            cute.group_modes(tCgSFB1, 0, 3),
        )
        tBsSFB2, tBgSFB2 = cute.nvgpu.cpasync.tma_partition(
            tma_atom_sfb2,
            block_in_cluster_coord_sfb_vmnk[1],
            sfb_cta_layout,
            cute.group_modes(sSFB2, 0, 3),
            cute.group_modes(tCgSFB2, 0, 3),
        )
        tBsSFB1 = cute.filter_zeros(tBsSFB1)
        tBgSFB1 = cute.filter_zeros(tBgSFB1)
        tBsSFB2 = cute.filter_zeros(tBsSFB2)
        tBgSFB2 = cute.filter_zeros(tBgSFB2)

        tCrA = tiled_mma.make_fragment_A(sA)
        tCrB1 = tiled_mma.make_fragment_B(sB1)
        tCrB2 = tiled_mma.make_fragment_B(sB2)
        acc_shape = tiled_mma.partition_shape_C(self.mma_tiler[:2])
        tCtAcc_fake = tiled_mma.make_fragment_C(acc_shape)

        cute.arch.cluster_wait()

        if warp_idx == self.tma_warp_id:
            ab_producer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Producer, self.num_ab_stage
            )
            tAgA_slice = tAgA[(None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2])]
            tBgB1_slice = tBgB1[(None, mma_tile_coord_mnl[1], None, mma_tile_coord_mnl[2])]
            tBgB2_slice = tBgB2[(None, mma_tile_coord_mnl[1], None, mma_tile_coord_mnl[2])]
            tAgSFA_slice = tAgSFA[(None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2])]

            slice_n = mma_tile_coord_mnl[1]
            if cutlass.const_expr(self.cta_tile_shape_mnk[1] == 64):
                slice_n = mma_tile_coord_mnl[1] // 2
            tBgSFB1_slice = tBgSFB1[(None, slice_n, None, mma_tile_coord_mnl[2])]
            tBgSFB2_slice = tBgSFB2[(None, slice_n, None, mma_tile_coord_mnl[2])]

            for prefetch_tile in cutlass.range(0, self.prefetch_stage, unroll=1):
                cute.prefetch(tma_atom_a, tAgA_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_b1, tBgB1_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_b2, tBgB2_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_sfa, tAgSFA_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_sfb1, tBgSFB1_slice[(None, prefetch_tile)])
                cute.prefetch(tma_atom_sfb2, tBgSFB2_slice[(None, prefetch_tile)])

            peek_ab_empty_status = ab_pipeline.producer_try_acquire(ab_producer_state)
            for k_block_idx in cutlass.range(0, k_block_cnt, 1, unroll=1):
                ab_pipeline.producer_acquire(ab_producer_state, peek_ab_empty_status)

                bar_ptr = ab_pipeline.producer_get_barrier(ab_producer_state)
                idx = ab_producer_state.index
                cnt = ab_producer_state.count

                cute.copy(
                    tma_atom_a,
                    tAgA_slice[(None, cnt)],
                    tAsA[(None, idx)],
                    tma_bar_ptr=bar_ptr,
                    mcast_mask=a_full_mcast_mask,
                )
                cute.copy(
                    tma_atom_b1,
                    tBgB1_slice[(None, cnt)],
                    tBsB1[(None, idx)],
                    tma_bar_ptr=bar_ptr,
                    mcast_mask=b_full_mcast_mask,
                )
                cute.copy(
                    tma_atom_b2,
                    tBgB2_slice[(None, cnt)],
                    tBsB2[(None, idx)],
                    tma_bar_ptr=bar_ptr,
                    mcast_mask=b_full_mcast_mask,
                )
                cute.copy(
                    tma_atom_sfa,
                    tAgSFA_slice[(None, cnt)],
                    tAsSFA[(None, idx)],
                    tma_bar_ptr=bar_ptr,
                    mcast_mask=sfa_full_mcast_mask,
                )
                cute.copy(
                    tma_atom_sfb1,
                    tBgSFB1_slice[(None, cnt)],
                    tBsSFB1[(None, idx)],
                    tma_bar_ptr=bar_ptr,
                    mcast_mask=sfb_full_mcast_mask,
                )
                cute.copy(
                    tma_atom_sfb2,
                    tBgSFB2_slice[(None, cnt)],
                    tBsSFB2[(None, idx)],
                    tma_bar_ptr=bar_ptr,
                    mcast_mask=sfb_full_mcast_mask,
                )

                if k_block_idx < k_block_cnt - self.prefetch_stage:
                    next_k_idx = cnt + self.prefetch_stage
                    cute.prefetch(tma_atom_a, tAgA_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_b1, tBgB1_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_b2, tBgB2_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_sfa, tAgSFA_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_sfb1, tBgSFB1_slice[(None, next_k_idx)])
                    cute.prefetch(tma_atom_sfb2, tBgSFB2_slice[(None, next_k_idx)])

                ab_producer_state.advance()
                if ab_producer_state.count < k_block_cnt:
                    peek_ab_empty_status = ab_pipeline.producer_try_acquire(
                        ab_producer_state
                    )

            ab_pipeline.producer_tail(ab_producer_state)

        elif warp_idx == self.mma_warp_id:
            tmem.wait_for_alloc()
            base_ptr = tmem.retrieve_ptr(self.acc_dtype)

            tCtAcc1 = cute.make_tensor(base_ptr, tCtAcc_fake.layout)
            base_ptr_2 = base_ptr + tcgen05.find_tmem_tensor_col_offset(tCtAcc1)
            tCtAcc2 = cute.make_tensor(base_ptr_2, tCtAcc_fake.layout)

            sf_base_ptr = base_ptr_2 + tcgen05.find_tmem_tensor_col_offset(tCtAcc2)
            sfa_tmem_ptr = cute.recast_ptr(sf_base_ptr, dtype=self.sf_dtype)
            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)

            sfb1_tmem_ptr = cute.recast_ptr(
                sf_base_ptr + tcgen05.find_tmem_tensor_col_offset(tCtSFA),
                dtype=self.sf_dtype,
            )
            tCtSFB_layout = blockscaled_utils.make_tmem_layout_sfb(
                tiled_mma,
                self.mma_tiler,
                self.sf_vec_size,
                cute.slice_(sfb1_smem_layout_staged, (None, None, None, 0)),
            )
            tCtSFB1 = cute.make_tensor(sfb1_tmem_ptr, tCtSFB_layout)

            tCtSFB2 = tCtSFB1
            if cutlass.const_expr(self.mma_tiler_mn != (128, 128)):
                sfb2_tmem_ptr = cute.recast_ptr(
                    sf_base_ptr
                    + tcgen05.find_tmem_tensor_col_offset(tCtSFA)
                    + tcgen05.find_tmem_tensor_col_offset(tCtSFB1),
                    dtype=self.sf_dtype,
                )
                tCtSFB2 = cute.make_tensor(sfb2_tmem_ptr, tCtSFB_layout)

            tiled_copy_s2t_sfa, tCsSFA_compact_s2t, tCtSFA_compact_s2t = (
                Sm100BlockScaledDenseGemmKernel.mainloop_s2t_copy_and_partition(self, sSFA, tCtSFA)
            )
            tiled_copy_s2t_sfb1, tCsSFB1_compact_s2t, tCtSFB1_compact_s2t = (
                Sm100BlockScaledDenseGemmKernel.mainloop_s2t_copy_and_partition(self, sSFB1, tCtSFB1)
            )
            tiled_copy_s2t_sfb2, tCsSFB2_compact_s2t, tCtSFB2_compact_s2t = (
                Sm100BlockScaledDenseGemmKernel.mainloop_s2t_copy_and_partition(self, sSFB2, tCtSFB2)
            )

            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
            )
            peek_ab_full_status = ab_pipeline.consumer_try_wait(ab_consumer_state)

            tCtSFB1_mma = tCtSFB1
            tCtSFB2_mma = tCtSFB2
            if cutlass.const_expr(self.cta_tile_shape_mnk[1] == 64):
                offset = cutlass.Int32((mma_tile_coord_mnl[1] % 2) * 2)
                shift_base = sf_base_ptr + tcgen05.find_tmem_tensor_col_offset(tCtSFA) + offset
                tCtSFB1_mma = cute.make_tensor(
                    cute.recast_ptr(shift_base, dtype=self.sf_dtype), tCtSFB_layout
                )
                shift_base_2 = (
                    sf_base_ptr
                    + tcgen05.find_tmem_tensor_col_offset(tCtSFA)
                    + tcgen05.find_tmem_tensor_col_offset(tCtSFB1)
                    + offset
                )
                tCtSFB2_mma = cute.make_tensor(
                    cute.recast_ptr(shift_base_2, dtype=self.sf_dtype), tCtSFB_layout
                )

            for k_block_idx in range(k_block_cnt):
                ab_pipeline.consumer_wait(ab_consumer_state, peek_ab_full_status)

                s2t_stage_coord = (None, None, None, None, ab_consumer_state.index)
                cute.copy(
                    tiled_copy_s2t_sfa,
                    tCsSFA_compact_s2t[s2t_stage_coord],
                    tCtSFA_compact_s2t,
                )
                num_kphases = cute.size(tCrA, mode=[2])

                if cutlass.const_expr(self.mma_tiler_mn == (128, 128)):
                    cute.copy(
                        tiled_copy_s2t_sfb1,
                        tCsSFB1_compact_s2t[s2t_stage_coord],
                        tCtSFB1_compact_s2t,
                    )
                    for kphase_idx in cutlass.range(num_kphases, unroll_full=True):
                        kphase_coord = (None, None, kphase_idx, ab_consumer_state.index)
                        sf_kphase_coord = (None, None, kphase_idx)
                        tiled_mma.set(tcgen05.Field.SFA, tCtSFA[sf_kphase_coord].iterator)
                        first = k_block_idx == 0 and kphase_idx == 0
                        tiled_mma.set(
                            tcgen05.Field.SFB, tCtSFB1_mma[sf_kphase_coord].iterator
                        )
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, not first)
                        cute.gemm(
                            tiled_mma,
                            tCtAcc1,
                            tCrA[kphase_coord],
                            tCrB1[kphase_coord],
                            tCtAcc1,
                        )

                    cute.copy(
                        tiled_copy_s2t_sfb2,
                        tCsSFB2_compact_s2t[s2t_stage_coord],
                        tCtSFB2_compact_s2t,
                    )
                    for kphase_idx in cutlass.range(num_kphases, unroll_full=True):
                        kphase_coord = (None, None, kphase_idx, ab_consumer_state.index)
                        sf_kphase_coord = (None, None, kphase_idx)
                        tiled_mma.set(tcgen05.Field.SFA, tCtSFA[sf_kphase_coord].iterator)
                        first = k_block_idx == 0 and kphase_idx == 0
                        tiled_mma.set(
                            tcgen05.Field.SFB, tCtSFB1_mma[sf_kphase_coord].iterator
                        )
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, not first)
                        cute.gemm(
                            tiled_mma,
                            tCtAcc2,
                            tCrA[kphase_coord],
                            tCrB2[kphase_coord],
                            tCtAcc2,
                        )
                else:
                    cute.copy(
                        tiled_copy_s2t_sfb1,
                        tCsSFB1_compact_s2t[s2t_stage_coord],
                        tCtSFB1_compact_s2t,
                    )
                    cute.copy(
                        tiled_copy_s2t_sfb2,
                        tCsSFB2_compact_s2t[s2t_stage_coord],
                        tCtSFB2_compact_s2t,
                    )
                    for kphase_idx in cutlass.range(num_kphases, unroll_full=True):
                        kphase_coord = (None, None, kphase_idx, ab_consumer_state.index)
                        sf_kphase_coord = (None, None, kphase_idx)
                        tiled_mma.set(tcgen05.Field.SFA, tCtSFA[sf_kphase_coord].iterator)

                        first = k_block_idx == 0 and kphase_idx == 0

                        tiled_mma.set(
                            tcgen05.Field.SFB, tCtSFB1_mma[sf_kphase_coord].iterator
                        )
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, not first)
                        cute.gemm(
                            tiled_mma,
                            tCtAcc1,
                            tCrA[kphase_coord],
                            tCrB1[kphase_coord],
                            tCtAcc1,
                        )

                        tiled_mma.set(
                            tcgen05.Field.SFB, tCtSFB2_mma[sf_kphase_coord].iterator
                        )
                        tiled_mma.set(tcgen05.Field.ACCUMULATE, not first)
                        cute.gemm(
                            tiled_mma,
                            tCtAcc2,
                            tCrA[kphase_coord],
                            tCrB2[kphase_coord],
                            tCtAcc2,
                        )

                ab_pipeline.consumer_release(ab_consumer_state)
                ab_consumer_state.advance()
                if ab_consumer_state.count < k_block_cnt:
                    peek_ab_full_status = ab_pipeline.consumer_try_wait(ab_consumer_state)

            acc_pipeline.producer_commit(acc_producer_state)

        elif warp_idx in self.epilog_warp_id:
            tmem.allocate(self.num_tmem_alloc_cols)
            tmem.wait_for_alloc()
            base_ptr = tmem.retrieve_ptr(self.acc_dtype)

            tCtAcc1 = cute.make_tensor(base_ptr, tCtAcc_fake.layout)
            base_ptr_2 = base_ptr + tcgen05.find_tmem_tensor_col_offset(tCtAcc1)
            tCtAcc2 = cute.make_tensor(base_ptr_2, tCtAcc_fake.layout)

            acc_consumer_state = pipeline.make_pipeline_state(
                pipeline.PipelineUserType.Consumer, self.num_acc_stage
            )
            acc_pipeline.consumer_wait(acc_consumer_state)

            tiled_copy_t2r_1, tTR_tAcc_1, tTR_rAcc_1 = Sm100BlockScaledDenseGemmKernel.epilog_tmem_copy_and_partition(
                self, tidx, tCtAcc1, tCgC, epi_tile
            )
            tTR_rC = cute.make_fragment(tTR_rAcc_1.shape, self.c_dtype)
            tiled_copy_r2s, tRS_rC, tRS_sC = Sm100BlockScaledDenseGemmKernel.epilog_smem_copy_and_partition(
                self, tiled_copy_t2r_1, tTR_rC, tidx, sC
            )
            tma_atom_c, bSG_sC, bSG_gC = Sm100BlockScaledDenseGemmKernel.epilog_gmem_copy_and_partition(
                self, tidx, tma_atom_c, tCgC, epi_tile, sC
            )
            bSG_gC = bSG_gC[(None, None, None, *mma_tile_coord_mnl)]

            tTR_tAcc_1 = cute.group_modes(tTR_tAcc_1, 3, cute.rank(tTR_tAcc_1))
            bSG_gC = cute.group_modes(bSG_gC, 1, cute.rank(bSG_gC))

            tiled_copy_t2r_2, tTR_tAcc_2, tTR_rAcc_2 = Sm100BlockScaledDenseGemmKernel.epilog_tmem_copy_and_partition(
                self, tidx, tCtAcc2, tCgC, epi_tile
            )
            tTR_tAcc_2 = cute.group_modes(tTR_tAcc_2, 3, cute.rank(tTR_tAcc_2))

            subtile_cnt = cute.size(tTR_tAcc_1.shape, mode=[3])
            one = cutlass.Float32(1.0)
            zero = cutlass.Float32(0.0)
            batch = 1 if _DEBUG_FORCE_EPILOGUE_SYNC else self.num_c_stage
            tail = subtile_cnt % batch
            main_cnt = subtile_cnt - tail

            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,
            )

            if cutlass.const_expr(
                _ENABLE_STORE_PIPE
                or self.cta_tile_shape_mnk[1] == 128
                or self.cta_tile_shape_mnk[1] == 64
            ):
                if warp_idx == self.epilog_warp_id[0]:
                    c_pipeline.producer_acquire()
                self.epilog_sync_barrier.sync()

                for base in range(0, main_cnt, batch):
                    for off in range(batch):
                        subtile_idx = base + off
                        tTR_tAcc_mn_1 = tTR_tAcc_1[(None, None, None, subtile_idx)]
                        cute.copy(tiled_copy_t2r_1, tTR_tAcc_mn_1, tTR_rAcc_1)

                        acc1 = tTR_rAcc_1.load()
                        if cutlass.const_expr(_DIAG_ACC1):
                            out = acc1
                        else:
                            tTR_tAcc_mn_2 = tTR_tAcc_2[(None, None, None, subtile_idx)]
                            cute.copy(tiled_copy_t2r_2, tTR_tAcc_mn_2, tTR_rAcc_2)
                            acc2 = tTR_rAcc_2.load()
                            den = one + _sigmoid_exp_neg(zero - acc1)
                            if cutlass.const_expr(_USE_RCP and _HAS_RCP):
                                inv = _CUTE_RCP(den)
                            else:
                                inv = cmath.rsqrt(den, fastmath=True)
                                inv = inv * inv
                            out = (acc1 * acc2) * inv
                        tRS_rC.store(out.to(self.c_dtype))
                        cute.copy(
                            tiled_copy_r2s,
                            tRS_rC,
                            tRS_sC[(None, None, None, subtile_idx)],
                        )

                    cute.arch.fence_view_async_shared()
                    self.epilog_sync_barrier.sync()
                    if warp_idx == self.epilog_warp_id[0]:
                        for off in range(batch):
                            store_idx = base + off
                            cute.copy(
                                tma_atom_c,
                                bSG_sC[(None, store_idx)],
                                bSG_gC[(None, store_idx)],
                            )
                            c_pipeline.producer_commit()
                            c_pipeline.producer_acquire()
                    self.epilog_sync_barrier.sync()

                if tail != 0:
                    base = main_cnt
                    for off in range(tail):
                        subtile_idx = base + off
                        tTR_tAcc_mn_1 = tTR_tAcc_1[(None, None, None, subtile_idx)]
                        cute.copy(tiled_copy_t2r_1, tTR_tAcc_mn_1, tTR_rAcc_1)

                        acc1 = tTR_rAcc_1.load()
                        if cutlass.const_expr(_DIAG_ACC1):
                            out = acc1
                        else:
                            tTR_tAcc_mn_2 = tTR_tAcc_2[(None, None, None, subtile_idx)]
                            cute.copy(tiled_copy_t2r_2, tTR_tAcc_mn_2, tTR_rAcc_2)
                            acc2 = tTR_rAcc_2.load()
                            den = one + _sigmoid_exp_neg(zero - acc1)
                            if cutlass.const_expr(_USE_RCP and _HAS_RCP):
                                inv = _CUTE_RCP(den)
                            else:
                                inv = cmath.rsqrt(den, fastmath=True)
                                inv = inv * inv
                            out = (acc1 * acc2) * inv
                        tRS_rC.store(out.to(self.c_dtype))
                        cute.copy(
                            tiled_copy_r2s,
                            tRS_rC,
                            tRS_sC[(None, None, None, subtile_idx)],
                        )

                    cute.arch.fence_view_async_shared()
                    self.epilog_sync_barrier.sync()
                    if warp_idx == self.epilog_warp_id[0]:
                        for off in range(tail):
                            store_idx = base + off
                            cute.copy(
                                tma_atom_c,
                                bSG_sC[(None, store_idx)],
                                bSG_gC[(None, store_idx)],
                            )
                            c_pipeline.producer_commit()
                            c_pipeline.producer_acquire()
                    self.epilog_sync_barrier.sync()

                self.epilog_sync_barrier.sync()
                if warp_idx == self.epilog_warp_id[0]:
                    c_pipeline.producer_tail()
                self.epilog_sync_barrier.sync()
            else:
                for subtile_idx in range(subtile_cnt):
                    tTR_tAcc_mn_1 = tTR_tAcc_1[(None, None, None, subtile_idx)]
                    cute.copy(tiled_copy_t2r_1, tTR_tAcc_mn_1, tTR_rAcc_1)

                    acc1 = tTR_rAcc_1.load()
                    if cutlass.const_expr(_DIAG_ACC1):
                        out = acc1
                    else:
                        tTR_tAcc_mn_2 = tTR_tAcc_2[(None, None, None, subtile_idx)]
                        cute.copy(tiled_copy_t2r_2, tTR_tAcc_mn_2, tTR_rAcc_2)
                        acc2 = tTR_rAcc_2.load()
                        den = one + _sigmoid_exp_neg(zero - acc1)
                        if cutlass.const_expr(_USE_RCP and _HAS_RCP):
                            inv = _CUTE_RCP(den)
                        else:
                            inv = cmath.rsqrt(den, fastmath=True)
                            inv = inv * inv
                        out = (acc1 * acc2) * inv
                    tRS_rC.store(out.to(self.c_dtype))
                    cute.copy(
                        tiled_copy_r2s,
                        tRS_rC,
                        tRS_sC[(None, None, None, subtile_idx)],
                    )
                    if (subtile_idx + 1) % batch == 0:
                        cute.arch.fence_view_async_shared()
                        self.epilog_sync_barrier.sync()
                        if warp_idx == self.epilog_warp_id[0]:
                            for off in range(batch):
                                store_idx = subtile_idx - (batch - 1 - off)
                                cute.copy(
                                    tma_atom_c,
                                    bSG_sC[(None, store_idx)],
                                    bSG_gC[(None, store_idx)],
                                )

                if tail != 0:
                    cute.arch.fence_view_async_shared()
                    self.epilog_sync_barrier.sync()
                    if warp_idx == self.epilog_warp_id[0]:
                        base = subtile_cnt - tail
                        for off in range(batch):
                            if off < tail:
                                store_idx = base + off
                                cute.copy(
                                    tma_atom_c,
                                    bSG_sC[(None, store_idx)],
                                    bSG_gC[(None, store_idx)],
                                )

            tmem.relinquish_alloc_permit()
            tmem.free(base_ptr)

    @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]:
        num_acc_stage = 1
        num_c_stage = 3
        a_smem_layout_stage_one = sm100_utils.make_smem_layout_a(
            tiled_mma,
            mma_tiler_mnk,
            a_dtype,
            1,
        )
        b_smem_layout_staged_one = sm100_utils.make_smem_layout_b(
            tiled_mma,
            mma_tiler_mnk,
            b_dtype,
            1,
        )
        sfa_smem_layout_staged_one = blockscaled_utils.make_smem_layout_sfa(
            tiled_mma,
            mma_tiler_mnk,
            sf_vec_size,
            1,
        )
        sfb_smem_layout_staged_one = blockscaled_utils.make_smem_layout_sfb(
            tiled_mma,
            mma_tiler_mnk,
            sf_vec_size,
            1,
        )
        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)
            + 2 * cute.size_in_bytes(b_dtype, b_smem_layout_staged_one)
            + cute.size_in_bytes(sf_dtype, sfa_smem_layout_staged_one)
            + 2 * 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
        num_ab_stage = (smem_capacity - (mbar_helpers_bytes + c_bytes)) // ab_bytes_per_stage
        num_c_stage += (
            smem_capacity - ab_bytes_per_stage * num_ab_stage - (mbar_helpers_bytes + c_bytes)
        ) // (c_bytes_per_stage)
        return num_acc_stage, num_ab_stage, num_c_stage


_GEMM_KERNEL_CACHE = {}
_DUAL_GEMM_KERNEL_CACHE = {}


def _get_buf(tag: str, shape, stride, device, dtype: torch.dtype) -> torch.Tensor:
    return torch.empty_strided(shape, stride, device=device, dtype=dtype)


def _compile_gemm_kernel(out_dtype: Type[cutlass.Numeric], mma_tiler_mn, cluster_shape_mn):
    key = (out_dtype, mma_tiler_mn, cluster_shape_mn)
    cached = _GEMM_KERNEL_CACHE.get(key)
    if cached is not None:
        return cached

    target_arch = os.environ.get("CUTE_DSL_ARCH", "sm_100a")
    cutlass.cuda.initialize_cuda_context()

    a_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    b_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    c_ptr = make_ptr(out_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    sfa_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)
    sfb_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)

    kernel = Sm100BlockScaledDenseGemmKernel(mma_tiler_mn, cluster_shape_mn, c_dtype=out_dtype)
    compiled = cute.compile[cute.GPUArch(target_arch)](
        kernel, a_ptr, b_ptr, sfa_ptr, sfb_ptr, c_ptr, 0, 0, 0, 0
    )
    _GEMM_KERNEL_CACHE[key] = compiled
    return compiled


def _compile_dual_gemm_kernel(
    out_dtype: Type[cutlass.Numeric],
    mma_tiler_mn,
    cluster_shape_mn,
    ab_stage_cap: int,
):
    key = (out_dtype, mma_tiler_mn, cluster_shape_mn, int(ab_stage_cap))
    cached = _DUAL_GEMM_KERNEL_CACHE.get(key)
    if cached is not None:
        return cached

    target_arch = os.environ.get("CUTE_DSL_ARCH", "sm_100a")
    cutlass.cuda.initialize_cuda_context()

    a_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    b1_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    b2_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    c_ptr = make_ptr(out_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    sfa_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)
    sfb1_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)
    sfb2_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)

    kernel = Sm100BlockScaledDualGemmKernel(
        mma_tiler_mn,
        cluster_shape_mn,
        c_dtype=out_dtype,
        ab_stage_cap=int(ab_stage_cap),
    )
    compiled = cute.compile[cute.GPUArch(target_arch)](
        kernel,
        a_ptr,
        b1_ptr,
        b2_ptr,
        sfa_ptr,
        sfb1_ptr,
        sfb2_ptr,
        c_ptr,
        0,
        0,
        0,
        0,
    )
    _DUAL_GEMM_KERNEL_CACHE[key] = compiled
    if _DIAG_META:
        raise RuntimeError(
            f"dual_meta mma_tiler_mn={mma_tiler_mn} cluster_shape_mn={cluster_shape_mn} "
            f"ab_stage_cap={int(ab_stage_cap)} num_ab_stage={getattr(kernel, 'num_ab_stage', None)} "
            f"num_acc_stage={getattr(kernel, 'num_acc_stage', None)} num_c_stage={getattr(kernel, 'num_c_stage', None)} "
            f"num_tmem_alloc_cols={getattr(kernel, 'num_tmem_alloc_cols', None)} epi_tile={getattr(kernel, 'epi_tile', None)} "
            f"cta_tile_shape_mnk={getattr(kernel, 'cta_tile_shape_mnk', None)}"
        )
    return compiled


def _run_gemm(compiled, out_dtype, a, b, sfa_p, sfb_p, out):
    m, k_half, l = a.shape
    n, _, _ = b.shape
    k = k_half * 2
    compiled(
        make_ptr(ab_dtype, a.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        make_ptr(ab_dtype, b.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        make_ptr(sf_dtype, sfa_p.data_ptr(), cute.AddressSpace.gmem, assumed_align=32),
        make_ptr(sf_dtype, sfb_p.data_ptr(), cute.AddressSpace.gmem, assumed_align=32),
        make_ptr(out_dtype, out.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        m,
        n,
        k,
        l,
    )


def _run_dual_gemm(compiled, out_dtype, a, b1, b2, sfa_p, sfb1_p, sfb2_p, out):
    m, k_half, l = a.shape
    n, _, _ = b1.shape
    k = k_half * 2
    compiled(
        make_ptr(ab_dtype, a.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        make_ptr(ab_dtype, b1.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        make_ptr(ab_dtype, b2.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        make_ptr(sf_dtype, sfa_p.data_ptr(), cute.AddressSpace.gmem, assumed_align=32),
        make_ptr(sf_dtype, sfb1_p.data_ptr(), cute.AddressSpace.gmem, assumed_align=32),
        make_ptr(sf_dtype, sfb2_p.data_ptr(), cute.AddressSpace.gmem, assumed_align=32),
        make_ptr(out_dtype, out.data_ptr(), cute.AddressSpace.gmem, assumed_align=16),
        m,
        n,
        k,
        l,
    )


def _is_rank_shape(m: int, n: int, k: int, l: int) -> bool:
    if l != 1:
        return False
    if m == 256 and n == 4096 and k == 7168:
        return True
    if m == 512 and n == 4096 and k == 7168:
        return True
    if m == 256 and n == 3072 and k == 4096:
        return True
    if m == 512 and n == 3072 and k == 7168:
        return True
    return False


_RANKED_CLUSTER_SHAPE_V0 = {
    (256, 4096, 7168): (2, 2),
    (512, 4096, 7168): (2, 2),
    (256, 3072, 4096): (2, 2),
    (512, 3072, 7168): (2, 2),
}

_RANKED_CLUSTER_SHAPE_V1 = {
    (256, 4096, 7168): (1, 1),
    (512, 4096, 7168): (2, 2),
    (256, 3072, 4096): (2, 2),
    (512, 3072, 7168): (2, 2),
}

_RANKED_CLUSTER_SHAPE_V2 = {
    (256, 4096, 7168): (2, 1),
    (512, 4096, 7168): (2, 2),
    (256, 3072, 4096): (2, 1),
    (512, 3072, 7168): (2, 2),
}

_RANKED_CLUSTER_SHAPE = _RANKED_CLUSTER_SHAPE_V0
if _RANK_CLUSTER_MODE == "1":
    _RANKED_CLUSTER_SHAPE = _RANKED_CLUSTER_SHAPE_V1
elif _RANK_CLUSTER_MODE == "2":
    _RANKED_CLUSTER_SHAPE = _RANKED_CLUSTER_SHAPE_V2

_RANKED_MMA_TILER_MN = {
    (256, 4096, 7168): (128, 128),
    (512, 4096, 7168): (128, 128),
    (256, 3072, 4096): (128, 64),
    (512, 3072, 7168): (128, 128),
}

_RANKED_AB_STAGE_CAP = {
    (256, 4096, 7168): 0,
    (512, 4096, 7168): 0,
    (256, 3072, 4096): 0,
    (512, 3072, 7168): 0,
}


def _get_rank_dual_kernel(m: int, n: int, k: int):
    mma_tiler_mn = _RANKED_MMA_TILER_MN.get((m, n, k), (128, 64))
    cluster_shape_mn = _RANKED_CLUSTER_SHAPE.get((m, n, k))
    if cluster_shape_mn is None:
        cluster_shape_mn = (2, 2)
    ab_stage_cap = int(_RANKED_AB_STAGE_CAP.get((m, n, k), 0))

    out_dtype = cutlass.Float16
    return (
        _compile_dual_gemm_kernel(out_dtype, mma_tiler_mn, cluster_shape_mn, ab_stage_cap),
        out_dtype,
    )


def _get_rank_gemm_kernel(out_dtype: Type[cutlass.Numeric], m: int):
    mma_tiler_mn = (128, 64)
    if m == 256:
        cluster_shape_mn = (2, 2)
    else:
        cluster_shape_mn = (4, 1)
    return _compile_gemm_kernel(out_dtype, mma_tiler_mn, cluster_shape_mn), out_dtype


def _get_safe_gemm_kernel(out_dtype: Type[cutlass.Numeric]):
    mma_tiler_mn = (128, 64)
    cluster_shape_mn = (1, 1)
    return _compile_gemm_kernel(out_dtype, mma_tiler_mn, cluster_shape_mn), out_dtype


def custom_kernel(data):
    a, b1, b2, _sfa, _sfb1, _sfb2, sfa_p, sfb1_p, sfb2_p, c = data

    m, k_half, l = a.shape
    n, _, _ = b1.shape
    k = k_half * 2

    mi = int(m)
    ni = int(n)
    ki = int(k)
    li = int(l)

    if _is_rank_shape(mi, ni, ki, li):
        if _DIAG_SINGLE:
            compiled, out_dtype = _get_rank_gemm_kernel(cutlass.Float16, mi)
            _run_gemm(compiled, out_dtype, a, b1, sfa_p, sfb1_p, c)
            return c
        compiled, out_dtype = _get_rank_dual_kernel(mi, ni, ki)
        _run_dual_gemm(compiled, out_dtype, a, b1, b2, sfa_p, sfb1_p, sfb2_p, c)
        return c
    else:
        out_dtype = cutlass.Float32
        g1 = _get_buf("g1", c.shape, c.stride(), c.device, torch.float32)
        g2 = _get_buf("g2", c.shape, c.stride(), c.device, torch.float32)

        compiled, out_dtype = _get_safe_gemm_kernel(out_dtype)
        _run_gemm(compiled, out_dtype, a, b1, sfa_p, sfb1_p, g1)
        _run_gemm(compiled, out_dtype, a, b2, sfa_p, sfb2_p, g2)

    F.silu(g1, inplace=True)
    g1.mul_(g2)
    c.copy_(g1)
    del g1, g2
    return c


__all__ = ["custom_kernel"]
scrolls · 2511 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 375111.

⋯ 9 unchanged lines
os.environ.setdefault("PYTORCH_CUDA_ALLOC_CONF", "expandable_segments:True")
_DEBUG_FORCE_EPILOGUE_SYNC = os.environ.get("NVFP4_DEBUG_FORCE_EPILOGUE_SYNC", "0") == "1"
- _SIGMOID_USE_EXP2 = os.environ.get("NVFP4_SIGMOID_USE_EXP2", "1") == "1"
- _USE_RCP = os.environ.get("NVFP4_USE_RCP", "1") == "1"
+ _SIGMOID_USE_EXP2 = os.environ.get("NVFP4_SIGMOID_USE_EXP2", "0") == "1"
+ _USE_RCP = os.environ.get("NVFP4_USE_RCP", "0") == "1"
_FORCE_TMEM_512 = os.environ.get("NVFP4_FORCE_TMEM_512", "1") == "1"
_ENABLE_STORE_PIPE = os.environ.get("NVFP4_ENABLE_STORE_PIPE", "0") == "1"
_RANK_CLUSTER_MODE = os.environ.get("NVFP4_RANK_CLUSTER_MODE", "0")

Best evidence level for this revision: reported

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