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submission 74913

yue · python · License unknown

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No package. Vendor the mirrored source: 276 lines, June 9 Researcher Reciprocity License v1.0.

cute_avoidconvert.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-gemv-74913?include=source"
interfacepython
Compatibility
measured onNVIDIA B200
declared hardwareNVIDIA B200
architecturessm_100
dtypesfp8_e4m3, nvfp4

Benchmark evidence

1 measurement across 1 GPU, fastest first.

Operation / workload
Hardware
Latency
Rank
Observed
NVFP4 GEMVsuite of 3 cases
NVIDIA B200
78.7µs
#356 of 678
2025-11-13

Reported · How evidence levels are derived →

Source and license

sourceavailable
revision digestsha256:c87d247ad211b182d7a9816352602711c36e6d45eba041990f9ad1d13b9cfaff
license declaredunknown
license concludedunknown
authorsyue
imported2026-08-15

Techniques

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

fp4ab_dtype = cutlass.Float4E2M1FN # FP4 data type for A and B

Kernel source

cute_avoidconvert.py276 lines
import torch
from task import input_t, output_t

import cutlass
import cutlass.cute as cute
from cutlass.cute.runtime import make_ptr
import cutlass.utils.blockscaled_layout as blockscaled_utils

# Kernel configuration parameters
m_dim = 128
mma_tiler_mnk = (m_dim, 1, 128)  # Tile sizes for M, N, K dimensions
ab_dtype = cutlass.Float4E2M1FN  # FP4 data type for A and B
sf_dtype = cutlass.Float8E4M3FN  # FP8 data type for scale factors
c_dtype = cutlass.Float16  # FP16 output type
sf_vec_size = 16  # Scale factor block size (16 elements share one scale)
threads_per_cta = m_dim  # Number of threads per CUDA thread block


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

# The optimized CuTe implementation for NVFP4 block-scaled GEMV
@cute.kernel
def kernel(
    mA_mkl: cute.Tensor,
    mB_nkl: cute.Tensor,
    mSFA_mkl: cute.Tensor,
    mSFB_nkl: cute.Tensor,
    mC_mnl: cute.Tensor,
):
    # Get CUDA block and thread indices
    bidx, bidy, bidz = cute.arch.block_idx()
    tidx, _, _ = cute.arch.thread_idx()

    # Extract the local tile for input matrix A (shape: [block_M, block_K, rest_M, rest_K, rest_L])
    gA_mkl = cute.local_tile(
        mA_mkl, cute.slice_(mma_tiler_mnk, (None, 0, None)), (None, None, None)
    )
    
    # Extract the local tile for scale factor tensor for A with optimized tiling
    # OPTIMIZATION: Use reduced K dimension for scale factors (64 // 16 = 4)
    sf_tiler_mnk = (mma_tiler_mnk[0], mma_tiler_mnk[1], mma_tiler_mnk[2] // sf_vec_size)
    gSFA_mkl = cute.local_tile(
        mSFA_mkl, cute.slice_(sf_tiler_mnk, (None, 0, None)), (None, None, None)
    )
    
    # Extract the local tile for input matrix B (shape: [block_N, block_K, rest_N, rest_K, rest_L])
    gB_nkl = cute.local_tile(
        mB_nkl, cute.slice_(mma_tiler_mnk, (0, None, None)), (None, None, None)
    )
    
    # Extract the local tile for scale factor tensor for B with optimized tiling
    gSFB_nkl = cute.local_tile(
        mSFB_nkl, cute.slice_(sf_tiler_mnk, (0, None, None)), (None, None, None)
    )
    
    # Extract the local tile for output matrix C (shape: [block_M, block_N, rest_M, rest_N, rest_L])
    gC_mnl = cute.local_tile(
        mC_mnl, cute.slice_(mma_tiler_mnk, (None, None, 0)), (None, None, None)
    )

    # Select output element corresponding to this thread and block indices
    tCgC = gC_mnl[tidx, None, bidx, bidy, bidz]
    tCgC = cute.make_tensor(tCgC.iterator, 1)
    res = cute.zeros_like(tCgC, cutlass.Float32)

    # Get the number of k tiles (depth dimension) for the reduction loop
    k_tile_cnt = gA_mkl.layout[3].shape
    
    for k_tile in range(k_tile_cnt):
        # Load data tile (128 elements)
        tAgA = gA_mkl[tidx, None, bidx, k_tile, bidz]
        tBgB = gB_nkl[0, None, bidy, k_tile, bidz]
        
        # Load scale factor tile (4 scale factors for the 128 elements)
        # OPTIMIZATION: Use k_tile directly since both tensors have same number of tiles
        tAgSFA = gSFA_mkl[tidx, None, bidx, k_tile, bidz]
        tBgSFB = gSFB_nkl[0, None, bidy, k_tile, bidz]

        # Create register tensors - keep structure similar to original
        tArA = cute.make_rmem_tensor_like(tAgA, cutlass.Float16)
        tBrB = cute.make_rmem_tensor_like(tBgB, cutlass.Float16)
        tArSFA = cute.make_rmem_tensor_like(tAgSFA, cutlass.Float32)
        tBrSFB = cute.make_rmem_tensor_like(tBgSFB, cutlass.Float32)

        # Load values from global memory
        a_val_nvfp4 = tAgA.load()
        b_val_nvfp4 = tBgB.load()
        sfa_val_fp8 = tAgSFA.load()
        sfb_val_fp8 = tBgSFB.load()

        # OPTIMIZATION: Fuse conversion with store operations
        tArA.store(a_val_nvfp4.to(cutlass.Float16))
        tBrB.store(b_val_nvfp4.to(cutlass.Float16))
        tArSFA.store(sfa_val_fp8.to(cutlass.Float32))
        tBrSFB.store(sfb_val_fp8.to(cutlass.Float32))

        # OPTIMIZED ACCUMULATION: Fuse operations in inner loop
        num_sf_blocks = mma_tiler_mnk[2] // sf_vec_size
        for sf_block in cutlass.range_constexpr(num_sf_blocks):
            scale_prod = tArSFA[sf_block] * tBrSFB[sf_block]
            base = sf_block * sf_vec_size

            # OPTIMIZATION: Use fused multiply-add pattern
            for offset in cutlass.range_constexpr(sf_vec_size):
                element_idx = base + offset
                # Fuse: res += scale_prod * (a * b)
                res += scale_prod * (tArA[element_idx] * tBrB[element_idx])

    # Store the final float16 result back to global memory
    tCgC.store(res.to(cutlass.Float16))
    return


@cute.jit
def my_kernel(
    a_ptr: cute.Pointer,
    b_ptr: cute.Pointer,
    sfa_ptr: cute.Pointer,
    sfb_ptr: cute.Pointer,
    c_ptr: cute.Pointer,
    problem_size: tuple,
):
    """
    Host-side JIT function to prepare tensors and launch GPU kernel.
    """
    m, _, k, l = problem_size
    
    # Create CuTe Tensor via pointer and problem size.
    a_tensor = cute.make_tensor(
        a_ptr,
        cute.make_layout(
            (m, cute.assume(k, 32), l),
            stride=(cute.assume(k, 32), 1, cute.assume(m * k, 32)),
        ),
    )
    
    # We use n=128 to create the torch tensor to do fp4 computation via torch._scaled_mm
    # then copy torch tensor to cute tensor for cute customize kernel computation
    # therefore we need to ensure b_tensor has the right stride with this 128 padded size on n.
    n_padded_128 = 128
    b_tensor = cute.make_tensor(
        b_ptr,
        cute.make_layout(
            (n_padded_128, cute.assume(k, 32), l),
            stride=(cute.assume(k, 32), 1, cute.assume(n_padded_128 * k, 32)),
        ),
    )
    
    c_tensor = cute.make_tensor(
        c_ptr, cute.make_layout((cute.assume(m, 32), 1, l), stride=(1, 1, m))
    )
    
    k_sf = k // sf_vec_size
    
    # K-major order for scale factors: K//16 dimension is NOT contiguous!
    # For [M, K//16, L] in K-major
    sfa_tensor = cute.make_tensor(
        sfa_ptr, 
        cute.make_layout(
            (m, k_sf, l),
            stride=(k_sf, 1, m * k_sf)
        )
    )

    # For [1, K//16, L] in K-major
    sfb_tensor = cute.make_tensor(
        sfb_ptr, 
        cute.make_layout(
            (n_padded_128, k_sf, l),
            stride=(k_sf, 1, n_padded_128 * k_sf)
        )
    )


    # Compute grid dimensions
    # Grid is (M_blocks, 1, L) where:
    # - M_blocks = ceil(M / 128) to cover all output rows
    # - L = batch size
    grid = (
        cute.ceil_div(c_tensor.shape[0], m_dim),
        1,
        c_tensor.shape[2],
    )

    # Launch the CUDA kernel
    kernel(a_tensor, b_tensor, sfa_tensor, sfb_tensor, c_tensor).launch(
        grid=grid,
        block=[threads_per_cta, 1, 1],
        cluster=(1, 1, 1),
    )
    return


# Global cache for compiled kernel
_compiled_kernel_cache = None


def compile_kernel():
    """
    Compile the kernel once and cache it.
    This should be called before any timing measurements.

    Returns:
        The compiled kernel function
    """
    global _compiled_kernel_cache

    if _compiled_kernel_cache is not None:
        return _compiled_kernel_cache

    # Create CuTe pointers for A/B/C/SFA/SFB via torch tensor data pointer
    a_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    b_ptr = make_ptr(ab_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    c_ptr = make_ptr(c_dtype, 0, cute.AddressSpace.gmem, assumed_align=16)
    sfa_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)
    sfb_ptr = make_ptr(sf_dtype, 0, cute.AddressSpace.gmem, assumed_align=32)

    # Compile the kernel
    _compiled_kernel_cache = cute.compile(
        my_kernel, a_ptr, b_ptr, sfa_ptr, sfb_ptr, c_ptr, (0, 0, 0, 0)
    )

    return _compiled_kernel_cache


def custom_kernel(data: input_t) -> output_t:
    """
    Execute the block-scaled GEMV kernel.

    This is the main entry point called by the evaluation framework.
    It converts PyTorch tensors to CuTe tensors, launches the kernel,
    and returns the result.

    Args:
        data: Tuple of (a, b, sfa_cpu, sfb_cpu, c) PyTorch tensors
            a: [m, k, l] - Input matrix in float4e2m1fn
            b: [1, k, l] - Input vector in float4e2m1fn
            sfa_cpu: [m, k, l] - Scale factors in float8_e4m3fn
            sfb_cpu: [1, k, l] - Scale factors in float8_e4m3fn
            sfa_permuted: [32, 4, rest_m, 4, rest_k, l] - Scale factors in float8_e4m3fn
            sfb_permuted: [32, 4, rest_n, 4, rest_k, l] - Scale factors in float8_e4m3fn
            c: [m, 1, l] - Output vector in float16

    Returns:
        Output tensor c with computed GEMV results
    """
    a, b, sfa_cpu, sfb_cpu, _, _, c = data

    # Ensure kernel is compiled (will use cached version if available)
    # To avoid the compilation overhead, we compile the kernel once and cache it.
    compiled_func = compile_kernel()

    # Get dimensions from MxKxL layout
    m, k, l = a.shape
    # Torch use e2m1_x2 data type, thus k is halved
    k = k * 2
    # GEMV N dimension is always 1
    n = 1

    # Create CuTe pointers for A/B/C/SFA/SFB via torch tensor data pointer
    a_ptr = make_ptr(ab_dtype, a.data_ptr(), cute.AddressSpace.gmem, assumed_align=16)
    b_ptr = make_ptr(ab_dtype, b.data_ptr(), cute.AddressSpace.gmem, assumed_align=16)
    c_ptr = make_ptr(c_dtype, c.data_ptr(), cute.AddressSpace.gmem, assumed_align=16)
    sfa_ptr = make_ptr(
        sf_dtype, sfa_cpu.data_ptr(), cute.AddressSpace.gmem, assumed_align=32
    )
    sfb_ptr = make_ptr(
        sf_dtype, sfb_cpu.data_ptr(), cute.AddressSpace.gmem, assumed_align=32
    )

    # Execute the compiled kernel
    compiled_func(a_ptr, b_ptr, sfa_ptr, sfb_ptr, c_ptr, (m, n, k, l))

    return c
scrolls · 276 lines total

Source code from GPU Mode and the KernelBot dataset · June 9 Researcher Reciprocity License v1.0

Changes from previous submission

Against this author's previous submission submission 71484.

⋯ 68 unchanged lines
k_tile_cnt = gA_mkl.layout[3].shape
for k_tile in range(k_tile_cnt):
- # Load data tile (64 elements)
+ # Load data tile (128 elements)
tAgA = gA_mkl[tidx, None, bidx, k_tile, bidz]
tBgB = gB_nkl[0, None, bidy, k_tile, bidz]
- # Load scale factor tile (4 scale factors for the 64 elements)
+ # Load scale factor tile (4 scale factors for the 128 elements)
# OPTIMIZATION: Use k_tile directly since both tensors have same number of tiles
tAgSFA = gSFA_mkl[tidx, None, bidx, k_tile, bidz]
tBgSFB = gSFB_nkl[0, None, bidy, k_tile, bidz]
- # Create register tensors
- tArA = cute.make_rmem_tensor_like(tAgA, cutlass.Float32)
- tBrB = cute.make_rmem_tensor_like(tBgB, cutlass.Float32)
- tArSFA = cute.make_rmem_tensor_like(tAgSFA, cutlass.Float32) # Only 4 elements now!
- tBrSFB = cute.make_rmem_tensor_like(tBgSFB, cutlass.Float32) # Only 4 elements now!
+ # Create register tensors - keep structure similar to original
+ tArA = cute.make_rmem_tensor_like(tAgA, cutlass.Float16)
+ tBrB = cute.make_rmem_tensor_like(tBgB, cutlass.Float16)
+ tArSFA = cute.make_rmem_tensor_like(tAgSFA, cutlass.Float32)
+ tBrSFB = cute.make_rmem_tensor_like(tBgSFB, cutlass.Float32)
# Load values from global memory
a_val_nvfp4 = tAgA.load()
⋯ 1 unchanged lines
sfa_val_fp8 = tAgSFA.load()
sfb_val_fp8 = tBgSFB.load()
- # Convert loaded values to float32 for computation (FFMA)
- a_val = a_val_nvfp4.to(cutlass.Float32)
- b_val = b_val_nvfp4.to(cutlass.Float32)
- sfa_val = sfa_val_fp8.to(cutlass.Float32)
- sfb_val = sfb_val_fp8.to(cutlass.Float32)
+ # OPTIMIZATION: Fuse conversion with store operations
+ tArA.store(a_val_nvfp4.to(cutlass.Float16))
+ tBrB.store(b_val_nvfp4.to(cutlass.Float16))
+ tArSFA.store(sfa_val_fp8.to(cutlass.Float32))
+ tBrSFB.store(sfb_val_fp8.to(cutlass.Float32))
- # Store the converted values to RMEM CuTe tensors
- tArA.store(a_val)
- tBrB.store(b_val)
- tArSFA.store(sfa_val)
- tBrSFB.store(sfb_val)
+ # OPTIMIZED ACCUMULATION: Fuse operations in inner loop
+ num_sf_blocks = mma_tiler_mnk[2] // sf_vec_size
+ for sf_block in cutlass.range_constexpr(num_sf_blocks):
+ scale_prod = tArSFA[sf_block] * tBrSFB[sf_block]
+ base = sf_block * sf_vec_size
- # Iterate over the 64 data elements and compute accumulation
- # OPTIMIZATION: Simple mapping within each k_tile
- for i in cutlass.range_constexpr(mma_tiler_mnk[2]):
- # Each 16 consecutive elements share one scale factor
- sf_idx = i // sf_vec_size # 0-15 -> 0, 16-31 -> 1, 32-47 -> 2, 48-63 -> 3
- res += tArA[i] * tArSFA[sf_idx] * tBrB[i] * tBrSFB[sf_idx]
+ # OPTIMIZATION: Use fused multiply-add pattern
+ for offset in cutlass.range_constexpr(sf_vec_size):
+ element_idx = base + offset
+ # Fuse: res += scale_prod * (a * b)
+ res += scale_prod * (tArA[element_idx] * tBrB[element_idx])
# Store the final float16 result back to global memory
tCgC.store(res.to(cutlass.Float16))
scrolls · 68 diff lines total

Best evidence level for this revision: reported

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