# Copyright (c) 2025 NVIDIA CORPORATION & AFFILIATES. All rights reserved. # SPDX-License-Identifier: BSD-3-Clause # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions are met: # 1. Redistributions of source code must retain the above copyright notice, this # list of conditions and the following disclaimer. # 2. Redistributions in binary form must reproduce the above copyright notice, # this list of conditions and the following disclaimer in the documentation # and/or other materials provided with the distribution. # 3. Neither the name of the copyright holder nor the names of its # contributors may be used to endorse or promote products derived from # this software without specific prior written permission. # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" # AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE # IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE # FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL # DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER # CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, # OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE # OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. import argparse from math import log2, ceil from typing import Optional, Union import torch import cuda.bindings.driver as cuda import cutlass import cutlass.cute as cute import cutlass.pipeline as pipeline from cutlass.pipeline import pipeline_init_arrive, pipeline_init_wait import cutlass.torch as cutlass_torch import cutlass.utils as utils import cutlass.utils.blackwell_helpers as sm100_utils import cutlass.utils.mixed_input_helpers as mixed_input_utils from cutlass.utils.mixed_input_helpers import TransformMode import cutlass.cute.testing as testing from cutlass.cute.nvgpu import cpasync, tcgen05 from cutlass.cute.runtime import from_dlpack """ A mixed-input GEMM example for the NVIDIA Blackwell SM100 architecture using CUTE DSL. This example demonstrates an implementation of mixed-input GEMM using a TMA plus Blackwell SM100 TensorCore warp-specialized persistent kernel. The inputs A and B have different data types. In this example, it's assumed that A is the narrow-precision tensor and B holds data with a wider precision. MMA will work in the wide precision of tensor B and tensor A will be transformed to the wide precision of tensor B following 1 of the 2 possible modes as follows: 1. convert-only mode: C = type_convert(A) x B In convert-only mode, tensor A is directly converted to the wide precision of tensor B. 2. convert-scale mode: C = (type_convert(A) * scale) x B In convert-scale mode, tensor A is first converted to the wide precision of tensor B and then scaled by the scale tensor. The scale tensor is in the same precision as tensor B. The mode is determined by tensor A's data type as follows: - if tensor A is in int8 or uint8, convert-only mode is used. - if tensor A is in int4, convert-scale mode is used. The output tensor C could have the same precision as tensor B or fp32. To run this example: .. code-block:: bash python examples/blackwell/mixed_input_gemm.py \ --a_dtype Int8 --b_dtype BFloat16 \ --scale_granularity_m 0 --scale_granularity_k 0 \ --c_dtype BFloat16 --acc_dtype Float32 \ --mma_tiler_mnk 128,128,64 --cluster_shape_mn 1,1 \ --mnkl 256,512,8192,1 Input A and B have int8 and bf16 data types, respectively. The Blackwell tcgen05 MMA tile shape is specified as (128,128,64) and the cluster shape is (1,1). The MMA accumulator and output data type are set as fp32 and bf16, respectively. As tensor A is int8, convert-only mode is used. scale_granularity_m and scale_granularity_k are set as 0 for convert-only mode. Here is an example of running convert-scale mode: .. code-block:: bash python examples/blackwell/mixed_input_gemm.py \ --a_dtype Int4 --b_dtype BFloat16 \ --scale_granularity_m 1 --scale_granularity_k 256 \ --c_dtype BFloat16 --acc_dtype Float32 \ --mma_tiler_mnk 256,128,128 --cluster_shape_mn 2,1 \ --use_2cta_instrs --use_tma_store \ --mnkl 1024,8192,6144,16 Input A and B have int4 and bf16 data types, respectively. The scale granularity is set as (1,256), which means each element along the m mode of tensor A has its own scale element and 256 contiguous elements along the k mode share the same scale element. There is no scale reuse along the L mode. If the GEMM shape is (M, N, K, L), then the scale tensor shape is (M // scale_granularity_m, K // scale_granularity_k, L), which is (1024, 6144/256, 16) in this example. The Blackwell tcgen05 MMA tile shape is specified as (256,128,128) and tcgen05 2CTA feature is enabled. The cluster shape is (2,1). The MMA accumulator and output data type are set as fp32 and bf16, respectively. As tensor A is int4, the convert-scale mode is used. To collect performance with NCU profiler: .. code-block:: bash ncu python examples/blackwell/mixed_input_gemm.py \ --a_dtype Int8 --b_dtype BFloat16 \ --scale_granularity_m 0 --scale_granularity_k 0 \ --c_dtype BFloat16 --acc_dtype Float32 \ --mma_tiler_mnk 128,128,64 --cluster_shape_mn 1,1 \ --mnkl 256,512,8192,1 \ --warmup_iterations 1 --iterations 10 --skip_ref_check Besides the requirements from the Blackwell dense GEMM example, there are some constraints for this example: * The narrow-precision is constrained to be int8, uint8, or int4 and the other data type is bf16 or f16. * Output data types could only be fp16, bf16, or fp32. * The scale_granularity_m must be 1 currently. * The scale_granularity_k must be a multiple of mma_tiler_k and also be divisible by gemm_k. * The scale tensor must be in m-major mode. * OOB tiles are not allowed when TMA store is disabled """ class MixedInputGemmKernel: """ Mixed-input GEMM kernel for NVIDIA Blackwell SM100 architecture. This kernel supports GEMM operations where input tensors A and B have different data types, with tensor A being transformed to the precision of tensor B before matrix multiplication. :param scale_granularity_m: Number of elements sharing the same scale factor along the M mode :type scale_granularity_m: int :param scale_granularity_k: Number of elements sharing the same scale factor along the K mode :type scale_granularity_k: int :param acc_dtype: Data type for accumulation during computation :type acc_dtype: type[cutlass.Numeric] :param use_2cta_instrs: Whether to use CTA group 2 for advanced thread cooperation :type use_2cta_instrs: bool :param mma_tiler_mnk: Shape of the Matrix Multiply-Accumulate (MMA) tile (M, N, K) :type mma_tiler_mnk: tuple[int, int, int] :param cluster_shape_mn: Cluster dimensions (M,N) for parallel processing :type cluster_shape_mn: tuple[int, int] :param use_tma_store: Whether to use Tensor Memory Access (TMA) for storing results :type use_tma_store: bool """ def __init__( self, scale_granularity_m: int, scale_granularity_k: int, acc_dtype: type[cutlass.Numeric], use_2cta_instrs: bool, mma_tiler_mnk: tuple[int, int, int], cluster_shape_mn: tuple[int, int], use_tma_store: bool, ): """ Initializes the mixed-input GEMM kernel with a specified configuration. """ # Scale granularity defines how many elements share the same scale factor # along the M and K modes. self.scale_granularity_m = scale_granularity_m self.scale_granularity_k = scale_granularity_k # Set transform mode if cutlass.const_expr( self.scale_granularity_m == 0 and self.scale_granularity_k == 0 ): self.scale_mode = TransformMode.ConvertOnly else: self.scale_mode = TransformMode.ConvertScale self.acc_dtype = acc_dtype self.use_2cta_instrs = use_2cta_instrs self.cluster_shape_mn = cluster_shape_mn self.mma_tiler = mma_tiler_mnk self.use_tma_store = use_tma_store self.cta_group = ( tcgen05.CtaGroup.TWO if self.use_2cta_instrs else tcgen05.CtaGroup.ONE ) # Set specialized warp ids self.epilog_warp_id = ( 0, 1, 2, 3, ) self.mma_warp_id = 4 self.tma_warp_id = 5 self.scale_tma_warp_id = 6 # 4 warps to do the transformation self.transform_warp_id = ( 8, 9, 10, 11, ) self.threads_per_cta = 32 * ( max( ( self.mma_warp_id, self.tma_warp_id, self.scale_tma_warp_id, *self.epilog_warp_id, *self.transform_warp_id, ) ) + 1 ) # Set barrier id for epilogue sync, tmem ptr sync, and transform sync self.epilog_sync_barrier = pipeline.NamedBarrier( 1, 32 * len(self.epilog_warp_id) ) self.tmem_ptr_sync_barrier = pipeline.NamedBarrier(2, self.threads_per_cta) self.transform_sync_barrier = pipeline.NamedBarrier( 3, 32 * len(self.transform_warp_id) ) self.smem_buffer_align_bytes = 1024 def _setup_attributes(self): """Set up configurations that are dependent on GEMM inputs This method configures various attributes based on the input tensor properties (data types, leading dimensions) and kernel settings: - Deduce where the transformed A tensor is stored - Configuring tiled MMA - Computing MMA/cluster/tile shapes - Computing cluster layout - Computing multicast CTAs for A/B - Computing epilogue subtile - Setting up A/scale/B/C stage counts in shared memory - Setting up transformed A stage count in shared memory or tensor memory - Computing A/transformed A/scale/B/C memory layout - Computing tensor memory allocation columns """ # Deduce where the transformed A tensor is stored, shared memory(SMEM) or tensor memory(TMEM) self.transform_a_source = mixed_input_utils.get_transform_a_source( self.a_major_mode ) tiled_mma = sm100_utils.make_trivial_tiled_mma( self.mma_dtype, self.a_major_mode, self.b_major_mode, self.acc_dtype, self.cta_group, self.mma_tiler[:2], self.transform_a_source, ) 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.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.is_a_mcast = self.num_mcast_ctas_a > 1 self.is_b_mcast = self.num_mcast_ctas_b > 1 if cutlass.const_expr(self.use_tma_store): self.epi_tile = sm100_utils.compute_epilogue_tile_shape( self.cta_tile_shape_mnk, self.use_2cta_instrs, self.c_layout, self.c_dtype, ) else: self.epi_tile = self.cta_tile_shape_mnk[:2] # Compute tensor memory(TMEM) columns and stages for each pipeline ( self.num_load2trans_stage, self.num_scale_load2trans_stage, self.num_trans2mma_stage, self.num_acc_stage, self.num_c_stage, self.num_acc_tmem_cols, self.num_a_tmem_cols, ) = self._compute_stages_and_tmem_cols( tiled_mma, self.mma_tiler, self.cta_tile_shape_mnk, self.epi_tile, self.a_dtype, self.b_dtype, self.c_dtype, self.c_layout, self.transform_a_source, self.scale_granularity_m, self.scale_granularity_k, self.smem_buffer_align_bytes, self.use_tma_store, self.scale_mode, ) # Ensure load2trans and trans2mma pipelines share same stage count, # so we can use same pipeline stage index to slice both A and B buffers if cutlass.const_expr(self.num_load2trans_stage != self.num_trans2mma_stage): self.num_load2trans_stage = min( self.num_load2trans_stage, self.num_trans2mma_stage ) self.num_trans2mma_stage = self.num_load2trans_stage # Align TMEM columns for allocation # TMEM allocation requires power-of-2 column alignment # and must meet minimum allocation requirements self.num_tmem_alloc_cols = MixedInputGemmKernel.align_up( self.num_acc_tmem_cols + self.num_a_tmem_cols, cute.arch.SM100_TMEM_MIN_ALLOC_COLUMNS, ) self.num_tmem_alloc_cols = 2 ** (ceil(log2(self.num_tmem_alloc_cols))) # Get smem layout for C tensor when TMA store is enabled self.c_smem_layout_staged = ( sm100_utils.make_smem_layout_epi( self.c_dtype, self.c_layout, self.epi_tile, self.num_c_stage, ) if self.use_tma_store else None ) # Get smem layout for A, transformed A, and B ( self.smem_layout_a, self.smem_layout_a_transform, self.smem_layout_b, ) = mixed_input_utils.compute_smem_layout( tiled_mma, self.mma_tiler, self.a_dtype, self.b_dtype, self.num_load2trans_stage, self.num_trans2mma_stage, ) # Get smem layout for scale tensor self.smem_layout_scale_per_stage = None self.smem_layout_scale = None if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): # Get scale tile shape and smem layout for scale tensor ( self.scale_tile_shape, self.smem_layout_scale_per_stage, self.smem_layout_scale, ) = mixed_input_utils.get_smem_layout_scale( self.mma_tiler, self.use_2cta_instrs, self.scale_granularity_m, self.scale_granularity_k, self.scale_major_mode, self.a_scale_dtype, self.num_scale_load2trans_stage, ) def _validate_inputs( self, a: cute.Tensor, a_scale: Optional[cute.Tensor], b: cute.Tensor, c: cute.Tensor, ) -> None: """ Validates input tensors and their properties. :param a: Input tensor A. :type a: cute.Tensor :param a_scale: Scale tensor for tensor A (None for ConvertOnly mode). :type a_scale: Optional[cute.Tensor] :param b: Input tensor B. :type b: cute.Tensor :param c: Output tensor C. :type c: cute.Tensor :raises ValueError: If inputs don't meet kernel requirements. """ # Validate scale tensor major mode if cutlass.const_expr( self.scale_mode == TransformMode.ConvertScale and utils.LayoutEnum.from_tensor(a_scale).mma_major_mode() != tcgen05.OperandMajorMode.MN ): raise ValueError("scale_major_mode should be m-major") @cute.jit def __call__( self, a: cute.Tensor, a_scale: Optional[cute.Tensor], # None for ConvertOnly mode b: cute.Tensor, c: cute.Tensor, max_active_clusters: cutlass.Constexpr, stream: cuda.CUstream, ): """ Executes the Mixed Input GEMM operation. This method sets up the kernel parameters, computes the grid size, defines the shared storage, and launches the kernel. The execution steps are as follows: - Setup static attributes before smem/grid/tma computation. - Setup TMA load/store atoms and tensors. - Compute grid size with regard to hardware constraints. - Define shared storage for kernel. - Launch the kernel synchronously. :param a: Input tensor A. :type a: cute.Tensor :param a_scale: Scale tensor for tensor A (None for ConvertOnly mode). :type a_scale: Optional[cute.Tensor] :param b: Input tensor B. :type b: cute.Tensor :param c: Output tensor C. :type c: cute.Tensor :param max_active_clusters: Maximum number of active clusters to launch. :type max_active_clusters: cutlass.Constexpr :param stream: CUDA stream to launch the kernel on. :type stream: cuda.CUstream """ self.a_dtype: type[cutlass.Numeric] = a.element_type self.a_scale_dtype: type[cutlass.Numeric] = ( a_scale.element_type if self.scale_mode is TransformMode.ConvertScale else None ) self.b_dtype: type[cutlass.Numeric] = b.element_type self.c_dtype: type[cutlass.Numeric] = c.element_type self.mma_dtype = self.b_dtype self.a_major_mode = utils.LayoutEnum.from_tensor(a).mma_major_mode() self.scale_major_mode = ( utils.LayoutEnum.from_tensor(a_scale).mma_major_mode() if self.scale_mode is TransformMode.ConvertScale else None ) self.b_major_mode = utils.LayoutEnum.from_tensor(b).mma_major_mode() self.c_layout = utils.LayoutEnum.from_tensor(c) if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): # Get gmem layout for scale tensor self.gmem_layout_scale = mixed_input_utils.get_gmem_layout_scale( a.shape, self.scale_granularity_m, self.scale_granularity_k, self.scale_major_mode, ) # Validate inputs self._validate_inputs(a, a_scale, b, c) # Setup attributes that dependent on gemm inputs self._setup_attributes() tiled_mma = sm100_utils.make_trivial_tiled_mma( self.mma_dtype, self.a_major_mode, self.b_major_mode, self.acc_dtype, self.cta_group, self.mma_tiler[:2], self.transform_a_source, ) # Set up gmem copy atoms for A, scale, and B a_op = mixed_input_utils.get_tma_atom_kind( self.is_a_mcast, self.use_2cta_instrs, False ) b_op = mixed_input_utils.get_tma_atom_kind( self.is_b_mcast, self.use_2cta_instrs, True ) a_scale_op = a_op # Deduce TMA copy atom and TMA tensor for A, scale, and B smem_layout_a_per_stage = cute.slice_(self.smem_layout_a, (None, None, None, 0)) tma_atom_a, tma_tensor_a = cute.nvgpu.make_tiled_tma_atom_A( a_op, a, smem_layout_a_per_stage, self.mma_tiler, tiled_mma, self.cluster_layout_vmnk.shape, internal_type=( cutlass.TFloat32 if a.element_type is cutlass.Float32 else None ), ) tma_atom_scale, tma_tensor_scale = None, None if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): # Partition smem layout for scale tensor to make it compatible with TMA atom smem_layout_for_tma_atom = cute.get( tiled_mma._thrfrg_A(self.smem_layout_scale_per_stage.outer), mode=[1] ) # ((MMA_M, MMA_K), REST_M, REST_K) smem_layout_for_tma_atom = cute.dice( smem_layout_for_tma_atom, (1, (1,) * cute.rank(self.smem_layout_scale_per_stage.outer)), ) tma_atom_scale, tma_tensor_scale = cute.nvgpu.make_tiled_tma_atom_A( a_scale_op, cute.make_tensor(a_scale.iterator, self.gmem_layout_scale), smem_layout_for_tma_atom, # (SCALE_M, 1, SCALE_K) (self.scale_tile_shape[0], 1, self.scale_tile_shape[1]), tiled_mma, self.cluster_layout_vmnk.shape, internal_type=( cutlass.TFloat32 if a_scale.element_type is cutlass.Float32 else None ), ) smem_layout_b_per_stage = cute.slice_(self.smem_layout_b, (None, None, None, 0)) tma_atom_b, tma_tensor_b = cute.nvgpu.make_tiled_tma_atom_B( b_op, b, smem_layout_b_per_stage, self.mma_tiler, tiled_mma, self.cluster_layout_vmnk.shape, internal_type=( cutlass.TFloat32 if b.element_type is cutlass.Float32 else None ), ) # Calculate copy size for tensor A, B, and scale a_copy_size = cute.size_in_bytes(self.a_dtype, smem_layout_a_per_stage) b_copy_size = cute.size_in_bytes(self.b_dtype, smem_layout_b_per_stage) a_scale_copy_size = ( cute.size_in_bytes(self.a_scale_dtype, self.smem_layout_scale_per_stage) if self.scale_mode is TransformMode.ConvertScale else 0 ) self.num_tma_load_bytes_a = a_copy_size self.num_tma_load_bytes_b = b_copy_size * cute.size(tiled_mma.thr_id.shape) self.num_tma_load_bytes_scale = a_scale_copy_size self.tile_sched_params, grid = self._compute_grid( c, self.cta_tile_shape_mnk, self.cluster_shape_mn, max_active_clusters, ) tma_atom_c = None tma_tensor_c = None c_smem_size = 0 if cutlass.const_expr(self.use_tma_store): 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, epi_smem_layout, self.epi_tile, ) c_smem_size = cute.cosize(self.c_smem_layout_staged.outer) # Shared memory structure a_smem_size = cute.cosize(self.smem_layout_a.outer) b_smem_size = cute.cosize(self.smem_layout_b.outer) a_transform_smem_size = ( cute.cosize(self.smem_layout_a_transform.outer) if self.transform_a_source == tcgen05.OperandSource.SMEM else 0 ) a_scale_smem_size = ( cute.cosize(self.smem_layout_scale.outer) if self.scale_mode is TransformMode.ConvertScale else 0 ) @cute.struct class SharedStorage: a_load2trans_full_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_load2trans_stage ] a_load2trans_empty_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_load2trans_stage ] a_scale_load2trans_full_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_scale_load2trans_stage ] a_scale_load2trans_empty_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_scale_load2trans_stage ] a_trans2mma_full_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_trans2mma_stage ] a_trans2mma_empty_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_trans2mma_stage ] b_load2mma_full_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_load2trans_stage ] b_load2mma_empty_mbar_ptr: cute.struct.MemRange[ cutlass.Int64, self.num_load2trans_stage ] acc_full_mbar_ptr: cute.struct.MemRange[cutlass.Int64, self.num_acc_stage] acc_empty_mbar_ptr: cute.struct.MemRange[cutlass.Int64, self.num_acc_stage] tmem_dealloc_mbar_ptr: cutlass.Int64 tmem_holding_buf: cutlass.Int32 # Tensor buffers # (EPI_TILE_M, EPI_TILE_N, STAGE) smem_C: cute.struct.Align[ cute.struct.MemRange[self.c_dtype, c_smem_size], self.smem_buffer_align_bytes, ] # (MMA, MMA_M, MMA_K, STAGE) smem_A: cute.struct.Align[ cute.struct.MemRange[self.a_dtype, a_smem_size], self.smem_buffer_align_bytes, ] # (MMA, MMA_N, MMA_K, STAGE) smem_B: cute.struct.Align[ cute.struct.MemRange[self.b_dtype, b_smem_size], self.smem_buffer_align_bytes, ] # (MMA, MMA_M, MMA_K, STAGE) smem_A_transform: cute.struct.Align[ cute.struct.MemRange[self.mma_dtype, a_transform_smem_size], self.smem_buffer_align_bytes, ] # (MMA, MMA_M_SCALE, MMA_K_SCALE, STAGE) smem_A_scale: cute.struct.Align[ cute.struct.MemRange[self.mma_dtype, a_scale_smem_size], self.smem_buffer_align_bytes, ] self.shared_storage = SharedStorage # Launch kernel self.kernel( tiled_mma, tma_atom_a, tma_tensor_a, tma_atom_scale, tma_tensor_scale, tma_atom_b, tma_tensor_b, tma_atom_c, tma_tensor_c if self.use_tma_store else c, self.cluster_layout_vmnk, self.smem_layout_a, self.smem_layout_scale, self.smem_layout_a_transform, self.smem_layout_b, self.c_smem_layout_staged, self.epi_tile, self.tile_sched_params, ).launch( grid=grid, block=[self.threads_per_cta, 1, 1], cluster=(*self.cluster_shape_mn, 1), stream=stream, min_blocks_per_mp=1, ) return # GPU device kernel @cute.kernel def kernel( self, tiled_mma: cute.TiledMma, tma_atom_a: cute.CopyAtom, mA_mkl: cute.Tensor, tma_atom_s: Optional[cute.CopyAtom], mS_mkl: Optional[cute.Tensor], tma_atom_b: cute.CopyAtom, mB_nkl: cute.Tensor, tma_atom_c: Optional[cute.CopyAtom], mC_mnl: cute.Tensor, cluster_layout_vmnk: cute.Layout, a_smem_layout: cute.ComposedLayout, scale_smem_layout: cute.ComposedLayout, a_smem_layout_transform: cute.ComposedLayout, b_smem_layout: cute.ComposedLayout, c_smem_layout_staged: cute.ComposedLayout, epi_tile: cute.Tile, tile_sched_params: utils.PersistentTileSchedulerParams, ): """ GPU device kernel performing the Persistent Mixed-Input GEMM computation. """ warp_idx = cute.arch.make_warp_uniform(cute.arch.warp_idx()) tidx, _, _ = cute.arch.thread_idx() bidx, bidy, bidz = cute.arch.block_idx() # Prefetch TMA descriptors if warp_idx == self.epilog_warp_id[0]: cpasync.prefetch_descriptor(tma_atom_a) cpasync.prefetch_descriptor(tma_atom_b) if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): cpasync.prefetch_descriptor(tma_atom_s) if cutlass.const_expr(self.use_tma_store): cpasync.prefetch_descriptor(tma_atom_c) use_2cta_instrs = cute.size(tiled_mma.thr_id.shape) == 2 bidx, bidy, bidz = cute.arch.block_idx() # Compute how many k_tiles share the same scale num_k_tiles_per_scale = self.scale_granularity_k // self.cta_tile_shape_mnk[2] mma_tile_coord_v = bidx % cute.size(tiled_mma.thr_id.shape) is_leader_cta = mma_tile_coord_v == 0 cta_rank_in_cluster = cute.arch.make_warp_uniform( cute.arch.block_idx_in_cluster() ) block_in_cluster_coord_vmnk = cluster_layout_vmnk.get_flat_coord( cta_rank_in_cluster ) tidx, _, _ = cute.arch.thread_idx() smem = utils.SmemAllocator() storage = smem.allocate(self.shared_storage) # Initialize load2transform pipeline, which tracks the dependencies between TMA's loading # of A and B, and the transformation of A and MMA's consumption transform_thread_idx = ( tidx - 32 * self.transform_warp_id[0] if tidx >= 32 * self.transform_warp_id[0] else tidx ) a_load2trans_pipeline = pipeline.PipelineTmaAsync.create( barrier_storage=storage.a_load2trans_full_mbar_ptr.data_ptr(), num_stages=self.num_load2trans_stage, producer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread), consumer_group=pipeline.CooperativeGroup( pipeline.Agent.Thread, self.num_mcast_ctas_a * len(self.transform_warp_id), ), tx_count=self.num_tma_load_bytes_a, cta_layout_vmnk=cluster_layout_vmnk, tidx=transform_thread_idx, mcast_mode_mn=(1, 0), # multicast for A will only happen on the M-mode defer_sync=True, ) # Initialize scale_load2trans pipeline, which tracks the dependencies between TMA's loading # of scale, and the transformation of A scale_load2trans_pipeline = None if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): num_producers_a_scale = self.num_mcast_ctas_a scale_load2trans_pipeline = pipeline.PipelineTmaAsync.create( barrier_storage=storage.a_scale_load2trans_full_mbar_ptr.data_ptr(), num_stages=self.num_scale_load2trans_stage, producer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread), consumer_group=pipeline.CooperativeGroup( pipeline.Agent.Thread, num_producers_a_scale * len(self.transform_warp_id) * num_k_tiles_per_scale, ), tx_count=self.num_tma_load_bytes_scale, cta_layout_vmnk=cluster_layout_vmnk, tidx=transform_thread_idx, mcast_mode_mn=( 1, 0, ), # multicast for scale_a will only happen on the M-mode defer_sync=True, ) # Initialize transform2mma pipeline, which tracks the dependencies between the transformation # of A and MMA's consumption of transformed A cta_v_size = cute.size(cluster_layout_vmnk, mode=[0]) trans2mma_pipeline = pipeline.PipelineAsyncUmma.create( barrier_storage=storage.a_trans2mma_full_mbar_ptr.data_ptr(), num_stages=self.num_trans2mma_stage, producer_group=pipeline.CooperativeGroup( pipeline.Agent.Thread, 32 * len(self.transform_warp_id) * cta_v_size, ), consumer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread), cta_layout_vmnk=cluster_layout_vmnk, defer_sync=True, ) # Initialize pipeline for tensor B load to MMA # MMA warp informs TMA warp to proceed to load next tile of B tensor b_load2mma_pipeline = pipeline.PipelineTmaUmma.create( barrier_storage=storage.b_load2mma_full_mbar_ptr.data_ptr(), num_stages=self.num_load2trans_stage, producer_group=pipeline.CooperativeGroup(pipeline.Agent.Thread), consumer_group=pipeline.CooperativeGroup( pipeline.Agent.Thread, self.num_mcast_ctas_b ), tx_count=self.num_tma_load_bytes_b, cta_layout_vmnk=cluster_layout_vmnk, mcast_mode_mn=(0, 1), # multicast for B will only happen on the N-mode defer_sync=True, ) # Initialize accumulator pipeline, which tracks the dependencies between # MMA's computation of accumulators and epilogue warps' consumption of accumulators 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, cta_v_size * len(self.epilog_warp_id) ), cta_layout_vmnk=cluster_layout_vmnk, defer_sync=True, ) # Tensor memory dealloc barrier init tmem = utils.TmemAllocator( storage.tmem_holding_buf, barrier_for_retrieve=self.tmem_ptr_sync_barrier, allocator_warp_id=self.epilog_warp_id[0], is_two_cta=use_2cta_instrs, two_cta_tmem_dealloc_mbar_ptr=storage.tmem_dealloc_mbar_ptr, ) # Cluster arrive after barrier init pipeline_init_arrive(cluster_shape_mn=self.cluster_shape_mn, is_relaxed=True) # Setup smem tensor A/scale/B/C sC = ( storage.smem_C.get_tensor( c_smem_layout_staged.outer, swizzle=c_smem_layout_staged.inner ) if self.use_tma_store else None ) sA_input = storage.smem_A.get_tensor( a_smem_layout.outer, swizzle=a_smem_layout.inner ) sS_input = ( storage.smem_A_scale.get_tensor( scale_smem_layout.outer, swizzle=scale_smem_layout.inner ) if self.scale_mode is TransformMode.ConvertScale else None ) sB_input = storage.smem_B.get_tensor( b_smem_layout.outer, swizzle=b_smem_layout.inner ) sA_transform = None # Get smem tensor for transformed A when transform_a_source is SMEM if cutlass.const_expr(self.transform_a_source == tcgen05.OperandSource.SMEM): sA_transform = storage.smem_A_transform.get_tensor( a_smem_layout_transform.outer, swizzle=a_smem_layout_transform.inner ) # Compute multicast mask for A/B buffer full a_full_mcast_mask = None b_full_mcast_mask = None s_full_mcast_mask = None if cutlass.const_expr(self.is_a_mcast or self.is_b_mcast or use_2cta_instrs): a_full_mcast_mask = cpasync.create_tma_multicast_mask( cluster_layout_vmnk, block_in_cluster_coord_vmnk, mcast_mode=2 ) # scale tensor share the same multicast mask with A tensor s_full_mcast_mask = a_full_mcast_mask b_full_mcast_mask = cpasync.create_tma_multicast_mask( cluster_layout_vmnk, block_in_cluster_coord_vmnk, mcast_mode=1 ) # local_tile partition global tensors # (bM, bK, loopM, loopK, loopL) gA_mkl = cute.local_tile( mA_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None) ) # (bM, bK, loopM, loopK, loopL) gS_mkl = ( cute.local_tile( mS_mkl, cute.slice_(self.mma_tiler, (None, 0, None)), (None, None, None) ) if self.scale_mode is TransformMode.ConvertScale else None ) # (bN, bK, loopN, loopK, loopL) gB_nkl = cute.local_tile( mB_nkl, cute.slice_(self.mma_tiler, (0, None, None)), (None, None, None) ) # (bM, bN, loopM, loopN, loopL) gC_mnl = cute.local_tile( mC_mnl, cute.slice_(self.mma_tiler, (None, None, 0)), (None, None, None) ) k_tile_cnt = cute.size(gA_mkl, mode=[3]) # Partition global tensor for TiledMMA_A/B/C thr_mma = tiled_mma.get_slice(mma_tile_coord_v) # (MMA, MMA_M, MMA_K, loopM, loopK, loopL) tCgA = thr_mma.partition_A(gA_mkl) # (MMA, MMA_M, MMA_K, loopM, loopK, loopL) tCgS = ( thr_mma.partition_A(gS_mkl) if self.scale_mode is TransformMode.ConvertScale else None ) # (MMA, MMA_N, MMA_K, loopN, loopK, loopL) tCgB = thr_mma.partition_B(gB_nkl) # (MMA, MMA_M, MMA_N, loopM, loopN, loopL) tCgC = thr_mma.partition_C(gC_mnl) # Setup copy atom to load A from shared memory for further transformation copy_atom_a_input = ( cute.make_copy_atom( cute.nvgpu.CopyUniversalOp(), self.a_dtype, num_bits_per_copy=32 ) if self.scale_mode is TransformMode.ConvertScale else None ) a_smem_shape = tiled_mma.partition_shape_A( cute.dice(self.mma_tiler, (1, None, 1)) ) # Setup copy atom to store transformed A into tensor memory or shared memory copy_atom_a_transform = mixed_input_utils.get_copy_atom_a_transform( self.mma_dtype, self.use_2cta_instrs, self.transform_a_source, a_smem_shape, self.a_dtype, ) # Partition global/shared tensor for TMA load A/B # TMA load A partition_S/D a_cta_layout = cute.make_layout( cute.slice_(cluster_layout_vmnk, (0, 0, None, 0)).shape ) # ((atom_v, rest_v), STAGE) # ((atom_v, rest_v), loopM, loopK, loopL) tAsA, tAgA = cpasync.tma_partition( tma_atom_a, block_in_cluster_coord_vmnk[2], a_cta_layout, cute.group_modes(sA_input, 0, 3), cute.group_modes(tCgA, 0, 3), ) tCsS = None tSsS = None tSgS = None if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): # (MMA, MMA_M, MMA_K, STAGE) tCsS = thr_mma.partition_A(sS_input) # ((atom_v, rest_v), STAGE) # ((atom_v, rest_v), loopM, loopK, loopL) tSsS, tSgS = mixed_input_utils.scale_tma_partition( tCsS, tCgS, tma_atom_s, block_in_cluster_coord_vmnk, a_cta_layout, ) # TMA load B partition_S/D b_cta_layout = cute.make_layout( cute.slice_(cluster_layout_vmnk, (0, None, 0, 0)).shape ) # ((atom_v, rest_v), STAGE) # ((atom_v, rest_v), loopM, loopK, loopL) tBsB, tBgB = cpasync.tma_partition( tma_atom_b, block_in_cluster_coord_vmnk[1], b_cta_layout, cute.group_modes(sB_input, 0, 3), cute.group_modes(tCgB, 0, 3), ) # (MMA, MMA_N, MMA_K, STAGE) tCrB = tiled_mma.make_fragment_B(sB_input) # (MMA, MMA_M, MMA_N) acc_shape = tiled_mma.partition_shape_C(self.mma_tiler[:2]) tCtAcc_fake = tiled_mma.make_fragment_C( cute.append(acc_shape, self.num_acc_stage) ) # Cluster wait before TMEM alloc and ensure pipelines are ready pipeline_init_wait(cluster_shape_mn=self.cluster_shape_mn) # TMEM allocation tmem.allocate(self.num_tmem_alloc_cols) tmem.wait_for_alloc() # Get the pointer to the TMEM buffer tmem_ptr = tmem.retrieve_ptr(self.acc_dtype) accumulators = cute.make_tensor(tmem_ptr, tCtAcc_fake.layout) tCrA = None if cutlass.const_expr(self.transform_a_source == tcgen05.OperandSource.TMEM): tmem_ptr_transform = cute.recast_ptr( accumulators.iterator + self.num_acc_tmem_cols, dtype=self.mma_dtype ) tCrA = cute.make_tensor( tmem_ptr_transform, tiled_mma.make_fragment_A(a_smem_layout_transform.outer).layout, ) else: tCrA = tiled_mma.make_fragment_A(sA_transform) # Specialized TMA load warp for A/B tensor if warp_idx == self.tma_warp_id: # Persistent tile scheduling loop tile_sched = utils.StaticPersistentTileScheduler.create( tile_sched_params, (bidx, bidy, bidz), cute.arch.grid_dim() ) work_tile = tile_sched.initial_work_tile_info() a_load2trans_producer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Producer, self.num_load2trans_stage ) b_load2mma_producer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Producer, self.num_load2trans_stage ) while work_tile.is_valid_tile: # Get tile coord from tile scheduler cur_tile_coord = work_tile.tile_idx mma_tile_coord_mnl = ( cur_tile_coord[0] // cute.size(tiled_mma.thr_id.shape), cur_tile_coord[1], cur_tile_coord[2], ) 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]) ] a_load2trans_producer_state.reset_count() peek_load2trans_empty_status = cutlass.Boolean(1) if a_load2trans_producer_state.count < k_tile_cnt: peek_load2trans_empty_status = ( a_load2trans_pipeline.producer_try_acquire( a_load2trans_producer_state ) ) b_load2mma_producer_state.reset_count() for k_tile in cutlass.range(0, k_tile_cnt, 1, unroll=1): a_load2trans_pipeline.producer_acquire( a_load2trans_producer_state, peek_load2trans_empty_status ) b_load2mma_pipeline.producer_acquire(b_load2mma_producer_state) # TMA load A/B cute.copy( tma_atom_a, tAgA_slice[(None, a_load2trans_producer_state.count)], tAsA[(None, a_load2trans_producer_state.index)], tma_bar_ptr=a_load2trans_pipeline.producer_get_barrier( a_load2trans_producer_state ), mcast_mask=a_full_mcast_mask, ) cute.copy( tma_atom_b, tBgB_slice[(None, b_load2mma_producer_state.count)], tBsB[(None, b_load2mma_producer_state.index)], tma_bar_ptr=b_load2mma_pipeline.producer_get_barrier( b_load2mma_producer_state ), mcast_mask=b_full_mcast_mask, ) a_load2trans_pipeline.producer_commit(a_load2trans_producer_state) b_load2mma_pipeline.producer_commit(b_load2mma_producer_state) a_load2trans_producer_state.advance() b_load2mma_producer_state.advance() if a_load2trans_producer_state.count < k_tile_cnt: peek_load2trans_empty_status = ( a_load2trans_pipeline.producer_try_acquire( a_load2trans_producer_state ) ) # Advance to next tile tile_sched.advance_to_next_work() work_tile = tile_sched.get_current_work() # Wait A/B buffer empty a_load2trans_pipeline.producer_tail(a_load2trans_producer_state) b_load2mma_pipeline.producer_tail(b_load2mma_producer_state) # Specialized TMA load for scale tensor if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): if warp_idx == self.scale_tma_warp_id: # Persistent tile scheduling loop tile_sched = utils.StaticPersistentTileScheduler.create( tile_sched_params, (bidx, bidy, bidz), cute.arch.grid_dim() ) work_tile = tile_sched.initial_work_tile_info() scale_load2trans_producer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Producer, self.num_scale_load2trans_stage ) scale_k_tile_cnt = cute.size(mS_mkl.layout.shape[1][1]) while work_tile.is_valid_tile: cur_tile_coord = work_tile.tile_idx mma_tile_coord_mnl = ( cur_tile_coord[0] // cute.size(tiled_mma.thr_id.shape), cur_tile_coord[1], cur_tile_coord[2], ) # ((atom_v, rest_v), RestK) tSgS_slice = tSgS[ (None, mma_tile_coord_mnl[0], None, mma_tile_coord_mnl[2]) ] # Filter zeros in rest mode rest_filtered = cute.filter_zeros(tSgS_slice[(0, None)].layout) tSgS_slice_filtered = cute.make_tensor( tSgS_slice.iterator, cute.make_layout( (tSgS_slice.layout[0].shape, rest_filtered.shape), stride=(tSgS_slice.layout[0].stride, rest_filtered.stride), ), ) scale_load2trans_producer_state.reset_count() peek_scale_load2trans_empty_status = cutlass.Boolean(1) if scale_load2trans_producer_state.count < scale_k_tile_cnt: peek_scale_load2trans_empty_status = ( scale_load2trans_pipeline.producer_try_acquire( scale_load2trans_producer_state ) ) for k_tile in cutlass.range(0, scale_k_tile_cnt, 1, unroll=1): scale_load2trans_pipeline.producer_acquire( scale_load2trans_producer_state, peek_scale_load2trans_empty_status, ) # TMA load scale cute.copy( tma_atom_s, tSgS_slice_filtered[ (None, scale_load2trans_producer_state.count) ], tSsS[(None, scale_load2trans_producer_state.index)], tma_bar_ptr=scale_load2trans_pipeline.producer_get_barrier( scale_load2trans_producer_state ), mcast_mask=s_full_mcast_mask, ) scale_load2trans_producer_state.advance() peek_scale_load2trans_empty_status = cutlass.Boolean(1) if scale_load2trans_producer_state.count < scale_k_tile_cnt: peek_scale_load2trans_empty_status = ( scale_load2trans_pipeline.producer_try_acquire( scale_load2trans_producer_state ) ) # Advance to next tile tile_sched.advance_to_next_work() work_tile = tile_sched.get_current_work() # Wait scale buffer empty scale_load2trans_pipeline.producer_tail(scale_load2trans_producer_state) # Specialized transform warps if warp_idx >= self.transform_warp_id[0]: transform_local_tidx = tidx - 32 * self.transform_warp_id[0] # Partition tensors for transform input and output and set up the copy atom # used for loading and storing transformed A tensor ( src_copy_a, dst_copy_a, tAsA_input, tAsA_transform, ) = mixed_input_utils.transform_partition( self.transform_a_source, self.scale_mode, copy_atom_a_input, copy_atom_a_transform, sA_input, ( tCrA if self.transform_a_source == tcgen05.OperandSource.TMEM else sA_transform ), transform_local_tidx, ) # make fragment for input A and transformed A tArA = cute.make_rmem_tensor( cute.select(tAsA_input.layout, mode=[0, 1, 2, 3]).shape, dtype=tAsA_input.element_type, ) tArA_transform = cute.make_rmem_tensor( cute.select(tAsA_input.layout, mode=[0, 1, 2, 3]).shape, dtype=self.mma_dtype, ) # Partition scale tensor smem_thr_copy_S = None tSsS_trans = None tSrS_copy = None tSrS = None if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): smem_thr_copy_S, tSsS_trans, tSrS_copy, tSrS = ( mixed_input_utils.scale_partition( src_copy_a, tCsS, transform_local_tidx, self.mma_dtype ) ) assert cute.size(tSrS, mode=[0]) == cute.size(tArA, mode=[0]), ( "tSrS and tArA have different leading dimension" ) assert cute.size(tSrS) == cute.size(tArA), ( "tSrS and tArA have different shape" ) # Make all modes except mode0 into loops tArA_load = cute.group_modes(tArA, 1, cute.rank(tArA)) tSrS_load = ( cute.group_modes(tSrS, 1, cute.rank(tSrS)) if self.scale_mode is TransformMode.ConvertScale else None ) tArA_transform_store = cute.group_modes( tArA_transform, 1, cute.rank(tArA_transform) ) tile_sched = utils.StaticPersistentTileScheduler.create( tile_sched_params, (bidx, bidy, bidz), cute.arch.grid_dim() ) work_tile = tile_sched.initial_work_tile_info() a_load2trans_consumer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Consumer, self.num_load2trans_stage, ) scale_load2trans_consumer_state = ( pipeline.make_pipeline_state( pipeline.PipelineUserType.Consumer, self.num_scale_load2trans_stage, ) if self.scale_mode is TransformMode.ConvertScale else None ) trans2mma_producer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Producer, self.num_trans2mma_stage, ) while work_tile.is_valid_tile: a_load2trans_consumer_state.reset_count() peek_load2trans_full_status = cutlass.Boolean(1) if a_load2trans_consumer_state.count < k_tile_cnt: peek_load2trans_full_status = ( a_load2trans_pipeline.consumer_try_wait( a_load2trans_consumer_state ) ) if cutlass.const_expr(self.scale_mode == TransformMode.ConvertScale): scale_load2trans_consumer_state.reset_count() trans2mma_producer_state.reset_count() peek_trans2mma_empty_status = cutlass.Boolean(1) if trans2mma_producer_state.count < k_tile_cnt: peek_trans2mma_empty_status = ( trans2mma_pipeline.producer_try_acquire( trans2mma_producer_state ) ) for k_tile in cutlass.range(0, k_tile_cnt, 1, unroll=1): a_load2trans_pipeline.consumer_wait( a_load2trans_consumer_state, peek_load2trans_full_status ) # Load A from shared memory cute.autovec_copy( tAsA_input[ (None, None, None, None, a_load2trans_consumer_state.index) ], tArA, ) if cutlass.const_expr( self.scale_mode == TransformMode.ConvertScale ): scale_load2trans_pipeline.consumer_wait( scale_load2trans_consumer_state ) trans2mma_pipeline.producer_acquire( trans2mma_producer_state, peek_trans2mma_empty_status ) # load scale tensor when needed if cutlass.const_expr( self.scale_mode == TransformMode.ConvertScale ): if k_tile % num_k_tiles_per_scale == 0: tSsS_slice = tSsS_trans[ ( None, None, None, None, scale_load2trans_consumer_state.index, ) ] tSsS_slice_filtered = cute.make_tensor( tSsS_slice.iterator, cute.filter_zeros(tSsS_slice.layout), ) cute.autovec_copy(tSsS_slice_filtered, tSrS_copy) for idx in cutlass.range_constexpr(cute.size(tArA_load, mode=[1])): # Load tensor A and convert it to mma dtype tensor_transformed = ( tArA_load[(None, idx)].load().to(self.mma_dtype) ) if cutlass.const_expr( self.scale_mode == TransformMode.ConvertScale ): scale = cute.TensorSSA( tSrS_load[(None, idx)].load(), tensor_transformed.shape, self.mma_dtype, ) # Apply scale tensor_transformed = tensor_transformed * scale tArA_transform_store[(None, idx)].store(tensor_transformed) # Store transformed A to tensor memory or shared memory if cutlass.const_expr(dst_copy_a is not None): cute.copy( dst_copy_a, tArA_transform, tAsA_transform[ (None, None, None, None, trans2mma_producer_state.index) ], ) else: cute.autovec_copy( tArA_transform, tAsA_transform[ (None, None, None, None, trans2mma_producer_state.index) ], ) # Ensure all transform threads have finished the copy and reached the fence self.transform_sync_barrier.arrive_and_wait() if cutlass.const_expr( self.transform_a_source == tcgen05.OperandSource.TMEM ): cute.arch.fence_view_async_tmem_store() else: cute.arch.fence_proxy( cute.arch.ProxyKind.async_shared, space=cute.arch.SharedSpace.shared_cta, ) # Signal the completion of transformation trans2mma_pipeline.producer_commit(trans2mma_producer_state) # Signal the completion of using A and scale tensors a_load2trans_pipeline.consumer_release(a_load2trans_consumer_state) if cutlass.const_expr( self.scale_mode == TransformMode.ConvertScale ): scale_load2trans_pipeline.consumer_release( scale_load2trans_consumer_state ) if (k_tile + 1) % num_k_tiles_per_scale == 0: scale_load2trans_consumer_state.advance() a_load2trans_consumer_state.advance() trans2mma_producer_state.advance() if a_load2trans_consumer_state.count < k_tile_cnt: peek_load2trans_full_status = ( a_load2trans_pipeline.consumer_try_wait( a_load2trans_consumer_state ) ) if trans2mma_producer_state.count < k_tile_cnt: peek_trans2mma_empty_status = ( trans2mma_pipeline.producer_try_acquire( trans2mma_producer_state ) ) # Advance to next tile tile_sched.advance_to_next_work() work_tile = tile_sched.get_current_work() # Wait a_transform buffer empty trans2mma_pipeline.producer_tail(trans2mma_producer_state) # Specialized MMA warp if warp_idx == self.mma_warp_id: tCtAcc_base = accumulators # Persistent tile scheduling loop tile_sched = utils.StaticPersistentTileScheduler.create( tile_sched_params, (bidx, bidy, bidz), cute.arch.grid_dim() ) work_tile = tile_sched.initial_work_tile_info() trans2mma_consumer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Consumer, self.num_trans2mma_stage ) b_load2mma_consumer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Consumer, self.num_load2trans_stage ) acc_producer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Producer, self.num_acc_stage ) while work_tile.is_valid_tile: cur_tile_coord = work_tile.tile_idx mma_tile_coord_mnl = ( cur_tile_coord[0] // cute.size(tiled_mma.thr_id.shape), cur_tile_coord[1], cur_tile_coord[2], ) # (MMA, MMA_M, MMA_N) tCtAcc = tCtAcc_base[(None, None, None, acc_producer_state.index)] b_load2mma_consumer_state.reset_count() trans2mma_consumer_state.reset_count() peek_trans2mma_full_status = cutlass.Boolean(1) if is_leader_cta: if trans2mma_consumer_state.count < k_tile_cnt: peek_trans2mma_full_status = ( trans2mma_pipeline.consumer_try_wait( trans2mma_consumer_state ) ) acc_pipeline.producer_acquire(acc_producer_state) tiled_mma.set(tcgen05.Field.ACCUMULATE, False) # Mma mainloop for k_tile in cutlass.range(0, k_tile_cnt, 1, unroll=1): trans2mma_pipeline.consumer_wait( trans2mma_consumer_state, peek_trans2mma_full_status ) b_load2mma_pipeline.consumer_wait(b_load2mma_consumer_state) num_kblocks = cute.size(tCrA, mode=[2]) for kblock_idx in cutlass.range(num_kblocks, unroll_full=True): kblock_coord = ( None, None, kblock_idx, trans2mma_consumer_state.index, ) cute.gemm( tiled_mma, tCtAcc, tCrA[kblock_coord], tCrB[kblock_coord], tCtAcc, ) # Enable accumulate on tCtAcc after first kblock tiled_mma.set(tcgen05.Field.ACCUMULATE, True) trans2mma_pipeline.consumer_release(trans2mma_consumer_state) b_load2mma_pipeline.consumer_release(b_load2mma_consumer_state) trans2mma_consumer_state.advance() b_load2mma_consumer_state.advance() peek_trans2mma_full_status = cutlass.Boolean(1) if trans2mma_consumer_state.count < k_tile_cnt: peek_trans2mma_full_status = ( trans2mma_pipeline.consumer_try_wait( trans2mma_consumer_state ) ) # Async arrive accumulator buffer full acc_pipeline.producer_commit(acc_producer_state) acc_producer_state.advance() # Advance to next tile tile_sched.advance_to_next_work() work_tile = tile_sched.get_current_work() # Wait for accumulator buffer empty acc_pipeline.producer_tail(acc_producer_state) # Specialized epilogue warps if warp_idx < self.mma_warp_id: epi_tidx = tidx tCtAcc_base = accumulators # Partition for epilogue ( tiled_copy_t2r, tTR_tAcc_base, tTR_rAcc, ) = self.epilog_tmem_copy_and_partition( epi_tidx, tCtAcc_base, tCgC, epi_tile, use_2cta_instrs ) tTR_rC = None tiled_copy_r2s = None simt_atom = None tRS_rC = None tRS_sC = None bSG_sC = None bSG_gC_partitioned = None tTR_gC_partitioned = None if cutlass.const_expr(self.use_tma_store): tTR_rC = cute.make_rmem_tensor(tTR_rAcc.shape, self.c_dtype) tiled_copy_r2s, tRS_rC, tRS_sC = self.epilog_smem_copy_and_partition( tiled_copy_t2r, tTR_rC, epi_tidx, sC ) ( tma_atom_c, bSG_sC, bSG_gC_partitioned, ) = self.epilog_gmem_copy_and_partition( epi_tidx, tma_atom_c, tCgC, epi_tile, sC ) else: ( simt_atom, tTR_rC, tTR_gC_partitioned, ) = self.epilog_gmem_copy_and_partition( epi_tidx, tiled_copy_t2r, tCgC, epi_tile, sC ) # Persistent tile scheduling loop tile_sched = utils.StaticPersistentTileScheduler.create( tile_sched_params, (bidx, bidy, bidz), cute.arch.grid_dim() ) work_tile = tile_sched.initial_work_tile_info() acc_consumer_state = pipeline.make_pipeline_state( pipeline.PipelineUserType.Consumer, self.num_acc_stage ) c_pipeline = None if cutlass.const_expr(self.use_tma_store): 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, ) while work_tile.is_valid_tile: cur_tile_coord = work_tile.tile_idx mma_tile_coord_mnl = ( cur_tile_coord[0] // cute.size(tiled_mma.thr_id.shape), cur_tile_coord[1], cur_tile_coord[2], ) bSG_gC = None tTR_gC = None if cutlass.const_expr(self.use_tma_store): bSG_gC = bSG_gC_partitioned[(None, None, None, *mma_tile_coord_mnl)] else: tTR_gC = tTR_gC_partitioned[ (None, None, None, None, None, *mma_tile_coord_mnl) ] tTR_tAcc = tTR_tAcc_base[ (None, None, None, None, None, acc_consumer_state.index) ] # Wait for accumulator buffer full acc_pipeline.consumer_wait(acc_consumer_state) tTR_tAcc = cute.group_modes(tTR_tAcc, 3, cute.rank(tTR_tAcc)) if cutlass.const_expr(self.use_tma_store): bSG_gC = cute.group_modes(bSG_gC, 1, cute.rank(bSG_gC)) else: tTR_gC = cute.group_modes(tTR_gC, 3, cute.rank(tTR_gC)) # Store accumulator to global memory in subtiles subtile_cnt = cute.size(tTR_tAcc.shape, mode=[3]) num_prev_subtiles = tile_sched.num_tiles_executed * subtile_cnt for subtile_idx in cutlass.range(subtile_cnt): # Load accumulator from tensor memory buffer to register tTR_tAcc_mn = tTR_tAcc[(None, None, None, subtile_idx)] cute.copy(tiled_copy_t2r, tTR_tAcc_mn, tTR_rAcc) if cutlass.const_expr(self.use_tma_store): # Convert to C type acc_vec = tiled_copy_r2s.retile(tTR_rAcc).load() acc_vec = acc_vec.to(self.c_dtype) tRS_rC.store(acc_vec) c_buffer = (num_prev_subtiles + subtile_idx) % self.num_c_stage # Store C to shared memory cute.copy( tiled_copy_r2s, tRS_rC, tRS_sC[(None, None, None, c_buffer)], ) # Fence and barrier to make sure shared memory store is visible to TMA store cute.arch.fence_proxy( cute.arch.ProxyKind.async_shared, space=cute.arch.SharedSpace.shared_cta, ) self.epilog_sync_barrier.arrive_and_wait() # TMA store C to global memory if warp_idx == self.epilog_warp_id[0]: cute.copy( tma_atom_c, bSG_sC[(None, c_buffer)], bSG_gC[(None, subtile_idx)], ) c_pipeline.producer_commit() c_pipeline.producer_acquire() self.epilog_sync_barrier.arrive_and_wait() else: # Convert to C type acc_vec = tTR_rAcc.load() acc_vec = acc_vec.to(self.c_dtype) tTR_rC.store(acc_vec) # Store C to global memory cute.autovec_copy( tTR_rC, tTR_gC[(None, None, None, subtile_idx)] ) # Async arrive accumulator buffer empty with cute.arch.elect_one(): acc_pipeline.consumer_release(acc_consumer_state) acc_consumer_state.advance() # Advance to next tile tile_sched.advance_to_next_work() work_tile = tile_sched.get_current_work() # Dealloc the tensor memory buffer tmem.relinquish_alloc_permit() self.epilog_sync_barrier.arrive_and_wait() tmem.free(tmem_ptr) if cutlass.const_expr(self.use_tma_store): c_pipeline.producer_tail() 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]: """ Partitions source and destination tensors for a global memory store. This method generates a tiled copy for storing results to global memory and partitions the source (register or shared memory) and destination (global memory) tensors accordingly. The behavior varies based on whether TMA store is enabled. :param tidx: The thread index in epilogue warp groups. :type tidx: cutlass.Int32 :param atom: The copy atom to be used (TMA or universal). :type atom: cute.CopyAtom or cute.TiledCopy :param gC_mnl: The global tensor C. :type gC_mnl: cute.Tensor :param epi_tile: The epilogue tiler. :type epi_tile: cute.Tile :param sC: The shared memory tensor C. :return: A tuple containing the appropriate copy atom and partitioned source and destination tensors for the store operation. :rtype: tuple[cute.CopyAtom, cute.Tensor, cute.Tensor] """ gC_epi = cute.flat_divide( gC_mnl[((None, None), 0, 0, None, None, None)], epi_tile ) if self.use_tma_store: tma_atom_c = atom sC_for_tma_partition = cute.group_modes(sC, 0, 2) gC_for_tma_partition = cute.group_modes(gC_epi, 0, 2) # ((ATOM_V, REST_V), EPI_M, EPI_N) # ((ATOM_V, REST_V), EPI_M, EPI_N, RestM, RestN, RestL) bSG_sC, bSG_gC = cpasync.tma_partition( tma_atom_c, 0, cute.make_layout(1), sC_for_tma_partition, gC_for_tma_partition, ) return tma_atom_c, bSG_sC, bSG_gC else: tiled_copy_t2r = atom # (T2R, T2R_M, T2R_N, EPI_M, EPI_N, RestM, RestN, RestL) thr_copy_t2r = tiled_copy_t2r.get_slice(tidx) tTR_gC = thr_copy_t2r.partition_D(gC_epi) # (T2R, T2R_M, T2R_N) tTR_rC = cute.make_rmem_tensor( tTR_gC[(None, None, None, 0, 0, 0, 0, 0)].shape, self.c_dtype ) simt_atom = cute.make_copy_atom(cute.nvgpu.CopyUniversalOp(), self.c_dtype) return simt_atom, tTR_rC, tTR_gC 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]: """ Partitions source and destination tensors for a shared memory store. This method generates a tiled copy for storing results to shared memory and partitions the source (register) and destination (shared memory) tensors accordingly. :param tiled_copy_t2r: The tiled copy operation for tmem to register copy. :param tTR_rC: The partitioned accumulator tensor. :param tidx: The thread index in epilogue warp groups. :param sC: The shared memory tensor to be copied and partitioned. :return: A tuple containing the tiled copy for the store operation and the partitioned source and destination tensors. """ copy_atom_r2s = sm100_utils.get_smem_store_op( self.c_layout, self.c_dtype, self.acc_dtype, tiled_copy_t2r ) tiled_copy_r2s = cute.make_tiled_copy_D(copy_atom_r2s, tiled_copy_t2r) # (R2S, R2S_M, R2S_N, PIPE_D) thr_copy_r2s = tiled_copy_r2s.get_slice(tidx) tRS_sC = thr_copy_r2s.partition_D(sC) # (R2S, R2S_M, R2S_N) tRS_rC = tiled_copy_r2s.retile(tTR_rC) return tiled_copy_r2s, tRS_rC, tRS_sC def epilog_tmem_copy_and_partition( self, tidx: cutlass.Int32, tAcc: cute.Tensor, gC_mnl: cute.Tensor, epi_tile: cute.Tile, use_2cta_instrs: Union[cutlass.Boolean, bool], ) -> tuple[cute.TiledCopy, cute.Tensor, cute.Tensor]: """ Partitions source and destination tensors for a tensor memory load. This method generates a tiled copy for loading accumulators from tensor memory and partitions the source (tensor memory) and destination (register) tensors accordingly. :param tidx: The thread index in epilogue warp groups. :param tAcc: The accumulator tensor to be copied and partitioned. :param gC_mnl: The global tensor C. :param epi_tile: The epilogue tiler. :param use_2cta_instrs: Whether use_2cta_instrs is enabled. :return: A tuple containing the tiled copy for the load operation and the partitioned source and destination tensors. """ # Make tiledCopy for tensor memory load copy_atom_t2r = sm100_utils.get_tmem_load_op( self.cta_tile_shape_mnk, self.c_layout, self.c_dtype, self.acc_dtype, epi_tile, use_2cta_instrs, ) # (EPI_TILE_M, EPI_TILE_N, EPI_M, EPI_N, STAGE) tAcc_epi = cute.flat_divide( tAcc[((None, None), 0, 0, None)], epi_tile, ) # (EPI_TILE_M, EPI_TILE_N) tiled_copy_t2r = tcgen05.make_tmem_copy( copy_atom_t2r, tAcc_epi[(None, None, 0, 0, 0)] ) thr_copy_t2r = tiled_copy_t2r.get_slice(tidx) # (T2R, T2R_M, T2R_N, EPI_M, EPI_M, STAGE) tTR_tAcc = thr_copy_t2r.partition_S(tAcc_epi) # (EPI_TILE_M, EPI_TILE_N, EPI_M, EPI_N, loopM, loopN, loopL) gC_mnl_epi = cute.flat_divide( gC_mnl[((None, None), 0, 0, None, None, None)], epi_tile ) # (T2R, T2R_M, T2R_N, EPI_M, EPI_N, loopM, loopN, loopL) tTR_gC = thr_copy_t2r.partition_D(gC_mnl_epi) # (T2R, T2R_M, T2R_N) tTR_rAcc = cute.make_rmem_tensor( tTR_gC[(None, None, None, 0, 0, 0, 0, 0)].shape, self.acc_dtype ) return tiled_copy_t2r, tTR_tAcc, tTR_rAcc @staticmethod def align_up(x: int, align: int) -> int: """Align x up to the nearest multiple of align.""" return (x + align - 1) // align * align @staticmethod def _compute_stages_and_tmem_cols( tiled_mma: cute.TiledMma, mma_tiler_mnk: tuple[int, int, int], cta_tile_shape_mnk: tuple[int, int, int], epi_tile: cute.Tile, a_dtype: type[cutlass.Numeric], b_dtype: type[cutlass.Numeric], c_dtype: type[cutlass.Numeric], c_layout: utils.LayoutEnum, transform_a_source: tcgen05.OperandSource, scale_granularity_m: int, scale_granularity_k: int, smem_buffer_align_bytes: int, use_tma_store: bool, scale_mode: TransformMode, ) -> tuple[int, int, int, int, int, int, int]: """ Compute pipeline stages and TMEM column allocation configurations. This method calculates the number of pipeline stages for different operations (load2trans, trans2mma, accumulator, etc.) and determines TMEM column allocation based on available memory resources and tile configuration. :param tiled_mma: The tiled MMA object defining the core computation. :type tiled_mma: cute.TiledMma :param mma_tiler_mnk: The shape (M, N, K) of the MMA tiler. :type mma_tiler_mnk: tuple[int, int, int] :param cta_tile_shape_mnk: The shape (M, N, K) of the CTA tile. :type cta_tile_shape_mnk: tuple[int, int, int] :param epi_tile: The epilogue tile shape. :type epi_tile: cute.Tile :param a_dtype: Data type of operand A. :type a_dtype: type[cutlass.Numeric] :param b_dtype: Data type of operand B. :type b_dtype: type[cutlass.Numeric] :param c_dtype: Data type of operand C. :type c_dtype: type[cutlass.Numeric] :param c_layout: Layout enum of operand C. :type c_layout: utils.LayoutEnum :param transform_a_source: The source of the transformed A tensor. :type transform_a_source: tcgen05.OperandSource :param scale_granularity_m: The granularity of the scale tensor along the M mode. :type scale_granularity_m: int :param scale_granularity_k: The granularity of the scale tensor along the K mode. :type scale_granularity_k: int :param smem_buffer_align_bytes: The alignment of the shared memory buffer. :type smem_buffer_align_bytes: int :param use_tma_store: Whether TMA store is enabled. :type use_tma_store: bool :param scale_mode: The transform mode. :type scale_mode: TransformMode :return: A tuple containing the number of stages for: (load2trans, scale_load2trans, transform2mma, accumulator, c, tmem_acc_cols, tmem_a_cols) :rtype: tuple[int, int, int, int, int, int, int] - num_load2trans_stage: Stages for load-to-transform A and B tensors pipeline - num_scale_load2trans_stage: Stages for scale load-to-transform A tensor pipeline - num_trans2mma_stage: Stages for transform-to-MMA pipeline - num_acc_stage: Stages for accumulator-to-epilogue pipeline - num_c_stage: Stages for epilogue-to-output C pipeline - num_acc_tmem_cols: TMEM columns for accumulator - num_a_tmem_cols: TMEM columns for transformed A tensor """ # Compute tmem columns required for accumulator acc_shape = tiled_mma.partition_shape_C(mma_tiler_mnk[:2]) tCtAcc_stage1 = tiled_mma.make_fragment_C(cute.append(acc_shape, 1)) num_tmem_acc_col_per_stage = utils.get_num_tmem_alloc_cols(tCtAcc_stage1, True) # Heuristic to decide the number of stages for accumulator sm100_tmem_columns = cute.arch.SM100_TMEM_CAPACITY_COLUMNS accumulator_stage_count = sm100_tmem_columns // num_tmem_acc_col_per_stage if transform_a_source == tcgen05.OperandSource.TMEM: if num_tmem_acc_col_per_stage < 128: accumulator_stage_count = 3 elif num_tmem_acc_col_per_stage < 256: accumulator_stage_count = 2 else: accumulator_stage_count = 1 # transformed A in 16bit, thus 1 tmem column could hold 2 elements num_elts_per_tmem_col = 32 // tiled_mma.op.a_dtype.width num_tmem_cols_a_per_stage = MixedInputGemmKernel.align_up( ( cta_tile_shape_mnk[2] // num_elts_per_tmem_col if transform_a_source == tcgen05.OperandSource.TMEM else 0 ), 4, ) c_stage_count = 2 if use_tma_store else 0 c_smem_layout_staged_one = ( sm100_utils.make_smem_layout_epi( c_dtype, c_layout, epi_tile, 1, ) if use_tma_store else None ) c_bytes_per_stage = ( cute.size_in_bytes(c_dtype, c_smem_layout_staged_one) if use_tma_store else 0 ) c_bytes = c_bytes_per_stage * c_stage_count smem_capacity = utils.get_smem_capacity_in_bytes("sm_100") bytes_per_pipeline_stage = 16 if scale_mode == TransformMode.ConvertOnly: scale_load2trans_stage_count = 0 a_scale_bytes_per_stage = 0 else: # Ensure we have 2 buffers for scale tiles needed for 1 CTA tile a_scale_k_mode = max(cta_tile_shape_mnk[2] // scale_granularity_k, 1) a_scale_m_mode = max(cta_tile_shape_mnk[0] // scale_granularity_m, 1) scale_load2trans_stage_count = 2 a_scale_bytes_per_stage = MixedInputGemmKernel.align_up( cute.size_in_bytes( tiled_mma.op.a_dtype, cute.make_layout((a_scale_m_mode, a_scale_k_mode)), ), smem_buffer_align_bytes, ) a_scale_bytes = ( a_scale_bytes_per_stage + bytes_per_pipeline_stage ) * scale_load2trans_stage_count caveout_smem_bytes = ( bytes_per_pipeline_stage * accumulator_stage_count + a_scale_bytes + c_bytes ) # Compute transform stages if A is in TMEM num_tmem_acc_cols = MixedInputGemmKernel.align_up( accumulator_stage_count * num_tmem_acc_col_per_stage, 4 ) transform2mma_stage_count_a_source_tmem_potential = ( (sm100_tmem_columns - num_tmem_acc_cols) // num_tmem_cols_a_per_stage if transform_a_source == tcgen05.OperandSource.TMEM else -1 ) if ( transform_a_source == tcgen05.OperandSource.TMEM and transform2mma_stage_count_a_source_tmem_potential <= 0 ): raise ValueError("Not enough TMEM capacity for selected tile size") a_load_bytes_per_stage = MixedInputGemmKernel.align_up( cute.size_in_bytes( a_dtype, cute.make_layout((cta_tile_shape_mnk[0], cta_tile_shape_mnk[2])), ), smem_buffer_align_bytes, ) b_load_bytes_per_stage = MixedInputGemmKernel.align_up( cute.size_in_bytes( b_dtype, cute.make_layout( ( cta_tile_shape_mnk[1] // cute.size(tiled_mma.thr_id), cta_tile_shape_mnk[2], ) ), ), smem_buffer_align_bytes, ) ab_load_bytes_per_stage = ( a_load_bytes_per_stage + b_load_bytes_per_stage + 2 * bytes_per_pipeline_stage ) a_transform_bytes_per_stage = ( MixedInputGemmKernel.align_up( cute.size_in_bytes( tiled_mma.op.a_dtype, cute.make_layout((cta_tile_shape_mnk[0], cta_tile_shape_mnk[2])), ), smem_buffer_align_bytes, ) if transform_a_source == tcgen05.OperandSource.SMEM else 0 ) a_transform_bytes_per_stage = ( a_transform_bytes_per_stage + bytes_per_pipeline_stage ) transform2mma_stage_count_a_source_smem_potential = ( smem_capacity - caveout_smem_bytes ) // (ab_load_bytes_per_stage + a_transform_bytes_per_stage) transform2mma_stage_count = ( min( transform2mma_stage_count_a_source_tmem_potential, transform2mma_stage_count_a_source_smem_potential, ) if transform_a_source == tcgen05.OperandSource.TMEM else transform2mma_stage_count_a_source_smem_potential ) load2transform_stage_count = ( smem_capacity - caveout_smem_bytes - (transform2mma_stage_count * a_transform_bytes_per_stage) ) // ab_load_bytes_per_stage if ( load2transform_stage_count < 2 or transform2mma_stage_count < 2 or accumulator_stage_count < 1 ): raise ValueError("Not enough SMEM or TMEM capacity for selected tile size") num_tmem_a_cols = transform2mma_stage_count * num_tmem_cols_a_per_stage # Check if we can increase c_stage_count with leftover smem if use_tma_store: c_stage_count += ( smem_capacity - load2transform_stage_count * ab_load_bytes_per_stage - transform2mma_stage_count * a_transform_bytes_per_stage - scale_load2trans_stage_count * a_scale_bytes_per_stage - c_bytes ) // c_bytes_per_stage return ( load2transform_stage_count, scale_load2trans_stage_count, transform2mma_stage_count, accumulator_stage_count, c_stage_count, num_tmem_acc_cols, num_tmem_a_cols, ) @staticmethod def _compute_grid( c: cute.Tensor, cta_tile_shape_mnk: tuple[int, int, int], cluster_shape_mn: tuple[int, int], max_active_clusters: cutlass.Constexpr, ) -> tuple[utils.PersistentTileSchedulerParams, tuple[int, int, int]]: """ Use persistent tile scheduler to compute the grid size for the output tensor C. """ c_shape = cute.slice_(cta_tile_shape_mnk, (None, None, 0)) gc = cute.zipped_divide(c, tiler=c_shape) num_ctas_mnl = gc[(0, (None, None, None))].shape cluster_shape_mnl = (*cluster_shape_mn, 1) tile_sched_params = utils.PersistentTileSchedulerParams( num_ctas_mnl, cluster_shape_mnl ) grid = utils.StaticPersistentTileScheduler.get_grid_shape( tile_sched_params, max_active_clusters ) return tile_sched_params, grid def is_valid_tensor_alignment( m: int, n: int, k: int, a_dtype: type[cutlass.Numeric], b_dtype: type[cutlass.Numeric], c_dtype: type[cutlass.Numeric], scale_dtype: type[cutlass.Numeric], a_major: str, b_major: str, c_major: str, mma_tiler_mnk: tuple[int, int, int], use_2cta_instrs: bool, cluster_shape_mn: tuple[int, int], scale_granularity_m: int, scale_granularity_k: int, ) -> bool: """ Check if the tensor alignments are valid for the given problem size and data types. """ def check_contiguous_16B_alignment(dtype, is_mode0_major, tensor_shape): major_mode_idx = 0 if is_mode0_major else 1 num_major_elements = tensor_shape[major_mode_idx] num_contiguous_elements = 16 * 8 // dtype.width return num_major_elements % num_contiguous_elements == 0 if not ( check_contiguous_16B_alignment(a_dtype, a_major == "m", (m, k)) and check_contiguous_16B_alignment(b_dtype, b_major == "n", (n, k)) and check_contiguous_16B_alignment(c_dtype, c_major == "m", (m, n)) and ( scale_granularity_k == 0 or check_contiguous_16B_alignment( b_dtype, True, (m, k // scale_granularity_k) ) ) ): return False # Check if scale tensor matches the TMA load 128B alignment requirement cta_tile_shape_mnk = ( mma_tiler_mnk[0] // (2 if use_2cta_instrs else 1), mma_tiler_mnk[1], mma_tiler_mnk[2], ) if ( scale_granularity_m > 0 and (cta_tile_shape_mnk[0] // cluster_shape_mn[1] // scale_granularity_m) * (scale_dtype.width // 8) < 128 ): return False return True def is_valid_epilog_store_option( m: int, n: int, mma_tiler_mn: tuple[int, int], use_tma_store: bool, use_2cta_instrs: bool, ) -> bool: """ Check if the epilogue store option is valid for the given problem size. """ cta_tile_shape_mn = ( mma_tiler_mn[0] // (2 if use_2cta_instrs else 1), mma_tiler_mn[1], ) # No OOB tile support when TMA store is disabled if not use_tma_store: if not (m % cta_tile_shape_mn[0] == 0 and n % cta_tile_shape_mn[1] == 0): return False return True def is_valid_mma_tiler_and_cluster_shape( mma_tiler: tuple[int, int, int], cluster_shape_mn: tuple[int, int], use_2cta_instrs: bool, ) -> bool: """ Check if the MMA tiler and cluster shape are valid for the given problem size. """ if cluster_shape_mn[0] % (2 if use_2cta_instrs else 1) != 0: return False if (mma_tiler[0] // (2 if use_2cta_instrs else 1)) not in [64, 128]: return False return True def can_implement( mnkl: tuple[int, int, int, int], a_dtype: type[cutlass.Numeric], b_dtype: type[cutlass.Numeric], c_dtype: type[cutlass.Numeric], a_major: str, b_major: str, c_major: str, scale_granularity_m: int, scale_granularity_k: int, mma_tiler: tuple[int, int, int], cluster_shape_mn: tuple[int, int], use_2cta_instrs: bool, use_tma_store: bool, ) -> bool: """ Check if the kernel can be implemented for the given tensor shapes and data types. """ m, n, k, l = mnkl if not MixedInputGemmKernel.is_valid_mma_tiler_and_cluster_shape( mma_tiler, cluster_shape_mn, use_2cta_instrs ): return False if not mixed_input_utils.is_valid_scale_granularity( scale_granularity_m, scale_granularity_k, a_dtype, k, mma_tiler[2] ): return False if not MixedInputGemmKernel.is_valid_tensor_alignment( m, n, k, a_dtype, b_dtype, c_dtype, b_dtype, a_major, b_major, c_major, mma_tiler, use_2cta_instrs, cluster_shape_mn, scale_granularity_m, scale_granularity_k, ): return False if not MixedInputGemmKernel.is_valid_epilog_store_option( m, n, mma_tiler[:2], use_tma_store, use_2cta_instrs ): return False return True def create_i4_tensor_and_scale( l: int, m: int, k: int, is_m_major: bool, dtype: type[cutlass.Numeric], scale_granularity_m: int, scale_granularity_k: int, is_dynamic_layout: bool = True, init_config: tuple = ( cutlass_torch.TensorInitType.RANDOM, cutlass_torch.RandomInitConfig(min_val=-7, max_val=6), ), divisibility: int = 16, transformed_dtype: Optional[type[cutlass.Numeric]] = None, ) -> tuple[ cute.Tensor, torch.Tensor, torch.Tensor, cute.Tensor, torch.Tensor, torch.Tensor ]: """ Create quantized 4-bit tensor and corresponding scale tensor. """ lb_4b = -8 if dtype == cutlass.Int4 else 0 up_4b = 7 if dtype == cutlass.Int4 else 15 if not ( init_config[0] == cutlass_torch.TensorInitType.RANDOM or init_config[0] == cutlass_torch.TensorInitType.SCALAR ): raise ValueError( "Only random and scalar initialization is supported for 4bit data type" ) # Construct reference tensor in f32 ref_fp32 = cutlass_torch.matrix(l, m, k, is_m_major, cutlass.Float32, *init_config) # Generate scale data and perform quantization num_scales = k // scale_granularity_k ref = ref_fp32.to(dtype=cutlass_torch.dtype(transformed_dtype)).reshape( m, num_scales, scale_granularity_k, l ) # Get elements with maximum absolute value to compute scaling factors a_max = ( torch.maximum(ref / up_4b, ref / lb_4b) if dtype == cutlass.Int4 else torch.maximum(ref / up_4b) ) a_scales, _ = torch.max(a_max, dim=2, keepdim=True) a_scale_inv = torch.where(a_scales == 0, 0, 1 / a_scales) a_quant = ref * a_scale_inv # Convert values to integer to avoid computation errors a_quant = a_quant.to(dtype=torch.int32).reshape((m, k, l)).to(dtype=torch.float32) # Construct A quantized tensor cute_a_quant_tensor, torch_a_quant_tensor = cutlass_torch.cute_tensor_like( a_quant, dtype, is_dynamic_layout=is_dynamic_layout, assumed_align=divisibility ) # Construct cute scale tensor a_scales = a_scales.random_(-3, 3).reshape((m, num_scales, l)) # Scale tensor is always m-major a_scales = a_scales.permute(2, 1, 0).contiguous().permute(2, 1, 0).to(device="cuda") cute_scale_tensor = from_dlpack(a_scales, assumed_align=divisibility) for i, stride in enumerate(a_scales.stride()): if stride == 1: leading_dim = i break if is_dynamic_layout: cute_scale_tensor = cute_scale_tensor.mark_layout_dynamic( leading_dim=leading_dim ) return ( cute_a_quant_tensor, torch_a_quant_tensor, a_quant.to("cpu"), cute_scale_tensor, a_scales, a_scales.to("cpu"), ) def create_tensor_a( l: int, m: int, k: int, a_major: str, a_dtype: type[cutlass.Numeric], scale_granularity_m: int = 0, scale_granularity_k: int = 0, transformed_dtype: Optional[type[cutlass.Numeric]] = None, ) -> tuple[cute.Tensor, Optional[cute.Tensor], torch.Tensor, Optional[torch.Tensor]]: """ Create tensor A and scale tensor. """ a_scale_tensor = None a_scale_torch_cpu = None if a_dtype in (cutlass.Int4,): ( a_tensor, a_torch_gpu, a_torch_cpu, a_scale_tensor, a_scale_torch_gpu, a_scale_torch_cpu, ) = create_i4_tensor_and_scale( l, m, k, a_major == "m", a_dtype, scale_granularity_m, scale_granularity_k, divisibility=mixed_input_utils.get_divisibility(m if a_major == "m" else k), transformed_dtype=transformed_dtype, ) else: a_torch_cpu = cutlass_torch.matrix( l, m, k, a_major == "m", a_dtype, ) a_tensor, _ = cutlass_torch.cute_tensor_like( a_torch_cpu, a_dtype, is_dynamic_layout=True, assumed_align=mixed_input_utils.get_divisibility( m if a_major == "m" else k ), ) return a_tensor, a_scale_tensor, a_torch_cpu, a_scale_torch_cpu def create_tensors( l: int, m: int, n: int, k: int, a_major: str, b_major: str, c_major: str, a_dtype: type[cutlass.Numeric], b_dtype: type[cutlass.Numeric], c_dtype: type[cutlass.Numeric], scale_granularity_m: int = 0, scale_granularity_k: int = 0, ) -> tuple: """ Create all input and output tensors for the mixed-input GEMM. """ torch.manual_seed(2025) a_tensor, a_scale_tensor, a_torch_cpu, a_scale_torch_cpu = create_tensor_a( l, m, k, a_major, a_dtype, scale_granularity_m, scale_granularity_k, b_dtype ) b_torch_cpu = cutlass_torch.matrix( l, n, k, b_major == "n", b_dtype, cutlass_torch.TensorInitType.RANDOM, cutlass_torch.RandomInitConfig(min_val=-10, max_val=10), ) c_torch_cpu = cutlass_torch.matrix( l, m, n, c_major == "m", c_dtype, ) b_tensor, _ = cutlass_torch.cute_tensor_like( b_torch_cpu, b_dtype, is_dynamic_layout=True, assumed_align=mixed_input_utils.get_divisibility(n if b_major == "n" else k), ) c_tensor, c_torch_gpu = cutlass_torch.cute_tensor_like( c_torch_cpu, c_dtype, is_dynamic_layout=True, assumed_align=mixed_input_utils.get_divisibility(m if c_major == "m" else n), ) c_tensor = c_tensor.mark_compact_shape_dynamic( mode=(0 if c_major == "m" else 1), stride_order=(2, 1, 0) if c_major == "m" else (2, 0, 1), divisibility=mixed_input_utils.get_divisibility(m if c_major == "m" else n), ) return ( a_tensor, a_scale_tensor, b_tensor, c_tensor, a_torch_cpu, a_scale_torch_cpu, b_torch_cpu, c_torch_gpu, ) def compare( a_torch_cpu: torch.Tensor, b_torch_cpu: torch.Tensor, a_scale_torch_cpu: Optional[torch.Tensor], c_torch_gpu: torch.Tensor, c_dtype: type[cutlass.Numeric], tolerance: float, ) -> None: """ Compare kernel result with reference computation. """ kernel_result = c_torch_gpu.cpu() # Compute reference result if a_scale_torch_cpu is not None: scale_shape = a_scale_torch_cpu.shape a_shape = a_torch_cpu.shape a_scale_torch_cpu = a_scale_torch_cpu.to(dtype=torch.float32).reshape( scale_shape[0], scale_shape[1], 1, scale_shape[2] ) a_torch_cpu = a_torch_cpu.to(dtype=torch.float32).reshape( a_torch_cpu.shape[0], scale_shape[1], -1, a_torch_cpu.shape[2] ) a_dequant = a_torch_cpu * a_scale_torch_cpu ref = torch.einsum( "mkl,nkl->mnl", a_dequant.reshape(a_shape), b_torch_cpu.to(dtype=torch.float32), ) else: ref = torch.einsum( "mkl,nkl->mnl", a_torch_cpu.to(dtype=torch.float32), b_torch_cpu.to(dtype=torch.float32), ) # Convert ref to c_dtype _, ref_torch_gpu = cutlass_torch.cute_tensor_like( ref, c_dtype, is_dynamic_layout=True, assumed_align=16 ) ref_result = ref_torch_gpu.cpu() # Assert close results torch.testing.assert_close(kernel_result, ref_result, atol=tolerance, rtol=1e-05) def run( mnkl: tuple[int, int, int, int], scale_granularity_m: int, scale_granularity_k: int, a_dtype: type[cutlass.Numeric], b_dtype: type[cutlass.Numeric], c_dtype: type[cutlass.Numeric], acc_dtype: type[cutlass.Numeric], a_major: str, b_major: str, c_major: str, mma_tiler_mnk: tuple[int, int, int], cluster_shape_mn: tuple[int, int], use_2cta_instrs: bool, use_tma_store: bool, tolerance: float, warmup_iterations: int = 0, iterations: int = 1, skip_ref_check: bool = False, use_cold_l2: bool = False, **kwargs, ) -> None: """ Run the mixed-input GEMM kernel with specified parameters. This function creates tensors, validates parameters, executes the kernel, optionally compares results with a reference implementation and reports kernel execution time. """ m, n, k, l = mnkl if not torch.cuda.is_available(): raise ValueError("CUDA is not available") # Check if given configuration is supported if not MixedInputGemmKernel.can_implement( mnkl, a_dtype, b_dtype, c_dtype, a_major, b_major, c_major, scale_granularity_m, scale_granularity_k, mma_tiler_mnk, cluster_shape_mn, use_2cta_instrs, use_tma_store, ): raise ValueError("GEMM configuration not supported") # Get current CUDA stream from PyTorch torch_stream = torch.cuda.current_stream() # Get the raw stream pointer as a CUstream current_stream = cuda.CUstream(torch_stream.cuda_stream) ( a_tensor, a_scale_tensor, b_tensor, c_tensor, a_torch_cpu, a_scale_torch_cpu, b_torch_cpu, c_torch_gpu, ) = create_tensors( l, m, n, k, a_major, b_major, c_major, a_dtype, b_dtype, c_dtype, scale_granularity_m, scale_granularity_k, ) mixed_input_gemm = MixedInputGemmKernel( scale_granularity_m, scale_granularity_k, acc_dtype, use_2cta_instrs, mma_tiler_mnk, cluster_shape_mn, use_tma_store, ) max_active_clusters = utils.HardwareInfo().get_max_active_clusters( cluster_shape_mn[0] * cluster_shape_mn[1], ) compiled_kernel = cute.compile( mixed_input_gemm, a_tensor, a_scale_tensor, b_tensor, c_tensor, max_active_clusters, current_stream, ) if not skip_ref_check: compiled_kernel( a_tensor, a_scale_tensor, b_tensor, c_tensor, current_stream, ) compare( a_torch_cpu, b_torch_cpu, a_scale_torch_cpu, c_torch_gpu, c_dtype, tolerance ) # Early return if no performance measurement is needed if iterations <= 0: return def generate_tensors(): a_tensor, a_scale_tensor, a_torch_cpu, a_scale_torch_cpu = create_tensor_a( l, m, k, a_major, a_dtype, scale_granularity_m, scale_granularity_k, b_dtype, ) b_tensor, _ = cutlass_torch.cute_tensor_like( b_torch_cpu, b_dtype, is_dynamic_layout=True, assumed_align=mixed_input_utils.get_divisibility( n if b_major == "n" else k ), ) c_torch_cpu = cutlass_torch.matrix(l, m, n, c_major == "m", c_dtype) c_tensor, c_torch_gpu = cutlass_torch.cute_tensor_like( c_torch_cpu, c_dtype, is_dynamic_layout=True, assumed_align=mixed_input_utils.get_divisibility( m if c_major == "m" else n ), ) c_tensor = c_tensor.mark_compact_shape_dynamic( mode=(0 if c_major == "m" else 1), stride_order=(2, 1, 0) if c_major == "m" else (2, 0, 1), divisibility=mixed_input_utils.get_divisibility(m if c_major == "m" else n), ) return testing.JitArguments( a_tensor, a_scale_tensor, b_tensor, c_tensor, current_stream ) workspace_count = 1 if use_cold_l2: one_workspace_bytes = ( a_torch_cpu.numel() * a_torch_cpu.element_size() + b_torch_cpu.numel() * b_torch_cpu.element_size() + c_torch_gpu.numel() * c_torch_gpu.element_size() + a_scale_torch_cpu.numel() * a_scale_torch_cpu.element_size() if a_scale_torch_cpu is not None else 0 ) workspace_count = testing.get_workspace_count( one_workspace_bytes, warmup_iterations, iterations ) exec_time = testing.benchmark( compiled_kernel, workspace_generator=generate_tensors, workspace_count=workspace_count, stream=current_stream, warmup_iterations=warmup_iterations, iterations=iterations, ) return exec_time # Return execution time in microseconds if __name__ == "__main__": def parse_comma_separated_ints(s: str) -> tuple[int, ...]: try: return tuple(int(x.strip()) for x in s.split(",")) except ValueError: raise argparse.ArgumentTypeError( "Invalid format. Expected comma-separated integers." ) parser = argparse.ArgumentParser() parser.add_argument( "--mnkl", type=parse_comma_separated_ints, default=(128, 128, 128, 1) ) parser.add_argument( "--mma_tiler_mnk", type=parse_comma_separated_ints, default=(128, 128, 128) ) parser.add_argument( "--cluster_shape_mn", type=parse_comma_separated_ints, default=(1, 1) ) parser.add_argument( "--use_2cta_instrs", action="store_true", help="Enable 2CTA MMA instructions feature", ) parser.add_argument( "--a_dtype", type=cutlass.dtype, default=cutlass.Int4, choices=[cutlass.Int8, cutlass.Uint8, cutlass.Int4], ) parser.add_argument( "--b_dtype", type=cutlass.dtype, default=cutlass.BFloat16, choices=[cutlass.BFloat16, cutlass.Float16], ) parser.add_argument("--c_dtype", type=cutlass.dtype, default=cutlass.BFloat16) parser.add_argument("--acc_dtype", type=cutlass.dtype, default=cutlass.Float32) parser.add_argument("--a_major", choices=["k", "m"], type=str, default="m") parser.add_argument("--b_major", choices=["k", "n"], type=str, default="k") parser.add_argument("--c_major", choices=["n", "m"], type=str, default="n") parser.add_argument( "--scale_granularity_m", type=int, default=1, help="Scale granularity along M dimension.", ) parser.add_argument( "--scale_granularity_k", type=int, default=128, help="Scale granularity along K dimension.", ) parser.add_argument( "--use_tma_store", action="store_true", help="Use tma store or not" ) parser.add_argument( "--tolerance", type=float, default=1e-01, help="Tolerance for validation" ) parser.add_argument( "--warmup_iterations", type=int, default=0, help="Warmup iterations" ) parser.add_argument( "--iterations", type=int, default=1, help="Number of iterations to run the kernel", ) parser.add_argument( "--skip_ref_check", action="store_true", help="Skip reference checking" ) args = parser.parse_args() run( args.mnkl, args.scale_granularity_m, args.scale_granularity_k, args.a_dtype, args.b_dtype, args.c_dtype, args.acc_dtype, args.a_major, args.b_major, args.c_major, args.mma_tiler_mnk, args.cluster_shape_mn, args.use_2cta_instrs, args.use_tma_store, args.tolerance, args.warmup_iterations, args.iterations, args.skip_ref_check, ) print("PASS")