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Mojo struct

Conv2dFpropKernel

struct Conv2dFpropKernel[act_type: DType, filter_type: DType, out_type: DType, config: Conv2dConfig[act_type, filter_type, out_type], cluster_shape: StaticTuple[Int32, Int(3)] = StaticTuple(Int32(1)), elementwise_lambda_fn: Optional[def[dtype: DType, width: SIMDLength, *, alignment: Int = Int(1)](IndexList[Int(2)], SIMD[dtype, width]) capturing thin -> None] = None, elementwise_compute_lambda_fn: Optional[def[dtype: DType, width: SIMDLength, *, alignment: Int = Int(1)](IndexList[Int(2)], SIMD[dtype, width]) capturing thin -> SIMD[dtype, width]] = None, register_based_epilogue: Bool = True]

SM100 Conv2D forward propagation kernel.

This kernel implements conv2d fprop using implicit GEMM with warp specialization. It reuses the matmul kernel architecture but with convolution-specific address calculation.

The kernel structure:

  • Scheduler warp: CLC-based tile scheduling
  • Load warp: TMA loads with im2col transformation
  • MMA warp: Tensor core operations
  • Epilogue warps: Output from TMEM to GMEM

Parameters​

Implemented traits​

AnyType, Deinitable, Movable

comptime members​

accum_layout​

comptime accum_layout = Layout.row_major(config.mma_shape[Int(0)], config.mma_shape[Int(1)])

accum_pipeline_consumer_arv_count​

comptime accum_pipeline_consumer_arv_count = (config * Int((mul _resolve_warp_size(), 4)))

accum_pipeline_producer_arv_count​

comptime accum_pipeline_producer_arv_count = 1

accum_type​

comptime accum_type = Conv2dConfig.accum_type()

AccumTensor​

comptime AccumTensor = TmemTensor[Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].accum_type, Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].accum_layout, cta_group=config.cta_group]

act_expected_bytes​

comptime act_expected_bytes = (Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].SmemType.act_smem_elements * size_of[act_type]())

act_swizzle_elems​

comptime act_swizzle_elems = (config.a_swizzle.bytes() // size_of[act_type]())

act_tile_dim0​

comptime act_tile_dim0 = (config.block_tile_shape[Int(0)] // config.cluster_shape[Int(1)])

act_tma_load_size​

comptime act_tma_load_size = ((config.block_tile_shape[Int(0)] // config.cluster_shape[Int(1)]) * (config.a_swizzle.bytes() // size_of[act_type]()))

act_tma_rows​

comptime act_tma_rows = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].act_tile_dim0

ActDescLayout​

comptime ActDescLayout = Layout[*(), *()]

ActTileLayout​

comptime ActTileLayout = Layout[*(), *()]

ActTileLoaderTypeIm2col​

comptime ActTileLoaderTypeIm2col = TileLoaderTMAIm2col[_, _, _, _, _, cta_group=config.cta_group]

ActTmaOp​

comptime ActTmaOp = TMATensorTileIm2col[act_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]

BK​

comptime BK = config.block_tile_shape[Int(2)]

BM​

comptime BM = config.block_tile_shape[Int(0)]

BN​

comptime BN = config.block_tile_shape[Int(1)]

clc_consumer_arv_count​

comptime clc_consumer_arv_count = (_resolve_warp_size() + Int((mul config.cluster_shape[Int(1)], config.cluster_shape[Int(0)], _resolve_warp_size(), 7)))

clc_producer_arv_count​

comptime clc_producer_arv_count = 1

clc_throttle_consumer_arv_count​

comptime clc_throttle_consumer_arv_count = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].SCHEDULER_THREADS

clc_throttle_producer_arv_count​

comptime clc_throttle_producer_arv_count = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].TMA_LOAD_THREADS

CLUSTER_M​

comptime CLUSTER_M = config.cluster_shape[Int(0)]

CLUSTER_N​

comptime CLUSTER_N = config.cluster_shape[Int(1)]

CLUSTER_SIZE​

comptime CLUSTER_SIZE = (config.cluster_shape[Int(0)] * config.cluster_shape[Int(1)])

Context​

comptime Context = KernelContext[config.num_clc_pipeline_stages, config.cta_group, config.cluster_shape[Int(0)], config.cluster_shape[Int(1)]]

cta_group​

comptime cta_group = config.cta_group

epi_load_consumer_arv_count​

comptime epi_load_consumer_arv_count = SIMD(Int((mul _resolve_warp_size(), 4)))

epi_load_producer_arv_count​

comptime epi_load_producer_arv_count = Int32(1)

EpiLoadPipelineType​

comptime EpiLoadPipelineType = EpiLoadPipeline[(config.mma_shape[Int(1)] // config.output_tile_shape[Int(1)])]

EPILOGUE_LOAD_THREADS​

comptime EPILOGUE_LOAD_THREADS = WARP_SIZE

EPILOGUE_THREADS​

comptime EPILOGUE_THREADS = (Int(4) * _resolve_warp_size())

EpilogueCtx​

comptime EpilogueCtx = EpilogueWarpContext[Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].opc, _resolve_warp_size(), Int((mul _resolve_warp_size(), 4))]

filter_expected_bytes​

comptime filter_expected_bytes = (Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].SmemType.filter_smem_elements * size_of[filter_type]())

filter_swizzle_elems​

comptime filter_swizzle_elems = (config.b_swizzle.bytes() // size_of[filter_type]())

filter_tile_dim0​

comptime filter_tile_dim0 = (config.block_tile_shape[Int(1)] // (config.cluster_shape[Int(0)] // config))

filter_tma_load_size​

comptime filter_tma_load_size = ((config.block_tile_shape[Int(1)] // (config.cluster_shape[Int(0)] // config)) * (config.b_swizzle.bytes() // size_of[filter_type]()))

filter_tma_rows​

comptime filter_tma_rows = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].filter_tile_dim0

FilterDescLayout​

comptime FilterDescLayout = Layout[*(), *()]

FilterTileLayout​

comptime FilterTileLayout = Layout[*(), *()]

FilterTileLoaderType​

comptime FilterTileLoaderType = TileLoaderTMA[_, _, _, _, _, cta_group=config.cta_group]

FilterTmaOp​

comptime FilterTmaOp = TMATensorTile[filter_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]

input_expected_bytes​

comptime input_expected_bytes = (Int((add (mul (config.block_tile_shape[Int(2)] // (config.a_swizzle.bytes() // size_of[act_type]())), (config.block_tile_shape[Int(0)] // Int(8)), (config.a_swizzle.bytes() // size_of[act_type]()), size_of[act_type](), config.cta_group, 8), (mul (config.block_tile_shape[Int(2)] // (config.b_swizzle.bytes() // size_of[filter_type]())), (config.block_tile_shape[Int(1)] // Int(8)), (config.b_swizzle.bytes() // size_of[filter_type]()), size_of[filter_type](), config.cta_group, 8))) * config)

InputTilePipelineType​

comptime InputTilePipelineType = InputTilePipeline[StandardTilePayload[act_type, filter_type, IndexList(config.block_tile_shape[Int(0)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), IndexList(config.block_tile_shape[Int(1)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), config.num_pipeline_stages], (config // config), config.k_group_size]

MMA_K​

comptime MMA_K = config.mma_shape[Int(2)]

MMA_M​

comptime MMA_M = config.mma_shape[Int(0)]

MMA_N​

comptime MMA_N = config.mma_shape[Int(1)]

MMA_THREADS​

comptime MMA_THREADS = WARP_SIZE

MmaCtx​

comptime MmaCtx = MmaWarpContext[Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].opc, _resolve_warp_size(), Int((mul _resolve_warp_size(), 4))]

MmaEpilogueSync​

comptime MmaEpilogueSync = WarpGroupBarrier[(_resolve_warp_size() + Int((mul _resolve_warp_size(), 4))), Int(1)]

MmaOp​

comptime MmaOp = MmaOpSM100_SS[out_type, act_type, filter_type, config.block_tile_shape, config.mma_shape, accum_type=Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].accum_type, cta_group=config.cta_group, cluster_shape=config.cluster_shape, a_swizzle=config.a_swizzle, b_swizzle=config.b_swizzle, transpose_b=True]

num_accum_pipeline_stages​

comptime num_accum_pipeline_stages = config.num_accum_pipeline_stages

num_clc_pipeline_stages​

comptime num_clc_pipeline_stages = config.num_clc_pipeline_stages

num_epi_load_stages​

comptime num_epi_load_stages = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].SmemType.num_epi_load_stages

num_group_pipeline_stages​

comptime num_group_pipeline_stages = (config // config)

num_output_stages​

comptime num_output_stages = config.num_output_stages

num_output_warps​

comptime num_output_warps = 4

num_pipeline_stages​

comptime num_pipeline_stages = config.num_pipeline_stages

NUM_THREADS​

comptime NUM_THREADS = (Int((mul _resolve_warp_size(), 4)) + Int((mul _resolve_warp_size(), 4)))

NUM_TMEM_COLS​

comptime NUM_TMEM_COLS = 512

opc​

comptime opc = OutputPipelineConfig(Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].num_accum_pipeline_stages, Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].stage_stride_cols, Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].cta_group)

out_swizzle_elems​

comptime out_swizzle_elems = (config.c_swizzle.bytes() // size_of[out_type]())

out_tile_dim0​

comptime out_tile_dim0 = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].OutputM if (config.mma_shape[Int(0)] == Int(256)) if (config.mma_shape[Int(0)] == Int(256)) else (config == Int(1)) else Int(64)

OutDescLayout​

comptime OutDescLayout = Layout[*(), *()]

OutputM​

comptime OutputM = config.output_tile_shape[Int(0)]

OutputN​

comptime OutputN = config.output_tile_shape[Int(1)]

OutputPipeline​

comptime OutputPipeline = OutputTilePipeline[Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].opc]

OutTileLayout​

comptime OutTileLayout = Layout[*(), *()]

OutTmaOp​

comptime OutTmaOp = TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]

Scheduler​

comptime Scheduler = TileScheduler[config.num_clc_pipeline_stages, Index[Int, Int, Int, dtype=DType.uint32](config.cluster_shape[Int(0)], config.cluster_shape[Int(1)], config.cluster_shape[Int(2)]), block_swizzle_size=config.block_swizzle_size]

SCHEDULER_THREADS​

comptime SCHEDULER_THREADS = WARP_SIZE

SmemType​

comptime SmemType = Conv2dSmem[act_type, filter_type, out_type, config=config]

src_expected_bytes​

comptime src_expected_bytes = (Int((mul config.output_tile_shape[Int(0)], config.output_tile_shape[Int(1)])) * size_of[out_type]())

SrcCTileArray​

comptime SrcCTileArray = SMemTileArray2DRowMajor[out_type, config.output_tile_shape[Int(0)], config.output_tile_shape[Int(1)], (config.mma_shape[Int(1)] // config.output_tile_shape[Int(1)])]

SrcDescLayout​

comptime SrcDescLayout = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].OutDescLayout

SrcTileLayout​

comptime SrcTileLayout = Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].OutTileLayout

SrcTileLoaderType​

comptime SrcTileLoaderType = TileLoaderTMA[_, _, _, _, _, cta_group=Int(1)]

SrcTmaOp​

comptime SrcTmaOp = TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]

stage_stride_cols​

comptime stage_stride_cols = (Int(512) // config)

TilePayload​

comptime TilePayload = StandardTilePayload[act_type, filter_type, IndexList(config.block_tile_shape[Int(0)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), IndexList(config.block_tile_shape[Int(1)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), config.num_pipeline_stages]

TileWriterType​

comptime TileWriterType = TileWriter[act_type, Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].accum_type, config.block_tile_shape, config.mma_shape, Conv2dFpropKernel[act_type, filter_type, out_type, config, cluster_shape, elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue].opc, config.c_swizzle, False, config.output_tile_shape[Int(0)], config.output_tile_shape[Int(1)], config.num_output_stages, Int(4), elementwise_lambda_fn, elementwise_compute_lambda_fn, register_based_epilogue]

TMA_LOAD_THREADS​

comptime TMA_LOAD_THREADS = WARP_SIZE

Tmem​

comptime Tmem = TmemAllocation[OutputPipelineConfig(config.num_accum_pipeline_stages, (Int(512) // config), config.cta_group).cta_group]

TmemDealloc​

comptime TmemDealloc = TmemDeallocBarrier[OutputPipelineConfig(config.num_accum_pipeline_stages, (Int(512) // config), config.cta_group).cta_group]

Methods​

mma​

static def mma[tiles_origin: MutOrigin, //](tmem_stage: TmemStage[Self.opc], tiles: ConsumerTiles[tiles_origin, StandardTilePayload[act_type, filter_type, IndexList(config.block_tile_shape[Int(0)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), IndexList(config.block_tile_shape[Int(1)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), config.num_pipeline_stages], (config // config), config.k_group_size], mma_op: MmaOpSM100_SS[accum_type=mma_op.accum_type, cta_group=mma_op.cta_group, cluster_shape=mma_op.cluster_shape, a_swizzle=mma_op.a_swizzle, b_swizzle=mma_op.b_swizzle, transpose_b=mma_op.transpose_b], elect_one_warp: Bool, iter_idx: UInt32, k_start: UInt32)

Execute MMA operations for one pipeline stage.

Parameters:

  • ​tiles_origin (MutOrigin): Borrow origin of the consumer tile payload (inferred).

Args:

init_barriers​

static def init_barriers(ctx: KernelContext[config.num_clc_pipeline_stages, config.cta_group, config.cluster_shape[Int(0)], config.cluster_shape[Int(1)]], act_tma_op: TMATensorTileIm2col[act_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], filter_tma_op: TMATensorTile[filter_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], out_tma_op: TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], input_barriers: SMemArray[SharedMemBarrier, ((config // config) * Int(2))], accum_barriers: SMemArray[SharedMemBarrier, (config * Int(2))], clc_throttle: SMemArray[SharedMemBarrier, (config * Int(2))], clc_full: SMemArray[SharedMemBarrier, config.num_clc_pipeline_stages], clc_empty: SMemArray[SharedMemBarrier, config.num_clc_pipeline_stages], tmem_dealloc: SMemArray[SharedMemBarrier, Int(1)], epi_load_barriers: SMemArray[SharedMemBarrier, ((config.mma_shape[Int(1)] // config.output_tile_shape[Int(1)]) * Int(2))], load_order_barrier: SMemArray[SharedMemBarrier, Int(1)])

Initialize barriers and prefetch TMA descriptors.

Args:

  • ​ctx (KernelContext[config.num_clc_pipeline_stages, config.cta_group, config.cluster_shape[Int(0)], config.cluster_shape[Int(1)]]): Kernel context holding per-CTA state and multicast masks.
  • ​act_tma_op (TMATensorTileIm2col[act_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]): Im2col TMA descriptor for the activation tensor.
  • ​filter_tma_op (TMATensorTile[filter_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]): TMA descriptor for the filter tensor.
  • ​out_tma_op (TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()]): TMA descriptor for the output tensor.
  • ​input_barriers (SMemArray[SharedMemBarrier, ((config // config) * Int(2))]): Producer-consumer barriers for the input tile pipeline.
  • ​accum_barriers (SMemArray[SharedMemBarrier, (config * Int(2))]): Producer-consumer barriers for the TMEM accumulator pipeline.
  • ​clc_throttle (SMemArray[SharedMemBarrier, (config * Int(2))]): Throttle barriers pacing the CLC scheduler against the load warps.
  • ​clc_full (SMemArray[SharedMemBarrier, config.num_clc_pipeline_stages]): CLC barriers signalling tile slots are full, producer to consumer.
  • ​clc_empty (SMemArray[SharedMemBarrier, config.num_clc_pipeline_stages]): CLC barriers signalling tile slots are empty, consumer to producer.
  • ​tmem_dealloc (SMemArray[SharedMemBarrier, Int(1)]): Barrier governing TMEM accumulator deallocation.
  • ​epi_load_barriers (SMemArray[SharedMemBarrier, ((config.mma_shape[Int(1)] // config.output_tile_shape[Int(1)]) * Int(2))]): Barriers for the epilogue load pipeline (source C residual loading).
  • ​load_order_barrier (SMemArray[SharedMemBarrier, Int(1)]): Barrier coordinating MainLoad completion with EpilogueLoad.

load_input_tiles​

static def load_input_tiles[act_tma_origin: ImmOrigin, filter_tma_origin: ImmOrigin, tiles_origin: MutOrigin, //](act_loader: TileLoaderTMAIm2col[act_tma_origin, act_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]](), cta_group=config.cta_group], filter_loader: TileLoaderTMA[filter_tma_origin, filter_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]](), cta_group=config.cta_group], tiles: ProducerTiles[tiles_origin, StandardTilePayload[act_type, filter_type, IndexList(config.block_tile_shape[Int(0)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), IndexList(config.block_tile_shape[Int(1)], config.block_tile_shape[Int(2)], __list_literal__=NoneType(None)), config.num_pipeline_stages], (config // config), config.k_group_size], iter_idx: UInt32, work_m_coord: Int, work_n_coord: Int, peer_cta_coord: Tuple[Int, Int, Int], elect_one_cta: Bool)

Load activation (via im2col TMA) and filter tiles.

The im2col TMA descriptor handles coordinate transformation internally. Coordinates are in GEMM space.

Parameters:

  • ​act_tma_origin (ImmOrigin): Borrow origin of the activation TMA descriptor (inferred).
  • ​filter_tma_origin (ImmOrigin): Borrow origin of the filter TMA descriptor (inferred).
  • ​tiles_origin (MutOrigin): Borrow origin of the producer tile payload (inferred).

Args:

run​

static def run(act_tma_op: TMATensorTileIm2col[act_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], filter_tma_op: TMATensorTile[filter_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], out_tma_op: TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], cluster_dim: StaticTuple[Int32, Int(3)], mnk: StaticTuple[UInt32, Int(3)])

Kernel entry point for Conv2D fprop (no residual).

Args:

run_with_residual​

static def run_with_residual(act_tma_op: TMATensorTileIm2col[act_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], filter_tma_op: TMATensorTile[filter_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], out_tma_op: TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], src_tma_op: TMATensorTile[out_type, Int(2), _to_index_list[Layout[*(), *()]](), _to_index_list[Int(2), Layout[*(), *()]]()], cluster_dim: StaticTuple[Int32, Int(3)], mnk: StaticTuple[UInt32, Int(3)], beta: Float32)

Kernel entry point for Conv2D fprop with residual (D = Conv + beta*C).

Args:

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