submission 81004
yue · python · License unknown
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No package. Vendor the mirrored source: 330 lines, June 9 Researcher Reciprocity License v1.0.
cutedsl_avoidbc.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-gemv-81004?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
Reported · How evidence levels are derived →
Source and license
sourceavailable
revision digestsha256:530a82c4144b372ea148da2e49a6ca7f17bb2dc02662b8e9c1de80e36a2a9ff9
license declaredunknown
license concludedunknown
authorsyue
imported2026-08-15
Techniques
Extracted from the mirrored source by pattern, never inferred. Each row cites its line.
fp4
ab_dtype = cutlass.Float4E2M1FN # FP4 data type for A and BKernel source
cutedsl_avoidbc.py330 lines
# k: 16384; l: 1; m: 7168; seed: 1111
# ⏱ 53.4 ± 0.05 µs
# ⚡ 53.1 µs 🐌 55.3 µs
# k: 7168; l: 8; m: 4096; seed: 1111
# ⏱ 56.7 ± 0.07 µs
# ⚡ 55.1 µs 🐌 58.4 µs
# k: 2048; l: 4; m: 7168; seed: 1111
# ⏱ 21.1 ± 0.07 µs
# ⚡ 20.4 µs 🐌 22.7 µs
# Params:
# When I use:
# threads_per_m = 128
# # Make sure threads_per_m is divisible by 1024
# threads_per_k = 1024 // threads_per_m
# mma_tiler_mnk = (threads_per_m, 1, 64)
# It's optimal for k=7168:
# k: 16384; l: 1; m: 7168; seed: 1111
# ⏱ 53.4 ± 0.05 µs
# ⚡ 53.1 µs 🐌 55.3 µs
# k: 7168; l: 8; m: 4096; seed: 1111
# ⏱ 57.3 ± 0.06 µs
# ⚡ 55.3 µs 🐌 58.4 µs
# k: 2048; l: 4; m: 7168; seed: 1111
# ⏱ 22.2 ± 0.05 µs
# ⚡ 20.4 µs 🐌 22.8 µs
# When I use:
# threads_per_m = 64
# # Make sure threads_per_m is divisible by 1024
# threads_per_k = 1024 // threads_per_m
# mma_tiler_mnk = (threads_per_m, 1, 64)
# It's optimal for k=16384:
# k: 16384; l: 1; m: 7168; seed: 1111
# ⏱ 34.1 ± 0.06 µs
# ⚡ 32.7 µs 🐌 34.9 µs
# k: 7168; l: 8; m: 4096; seed: 1111
# ⏱ 57.5 ± 0.06 µs
# ⚡ 56.4 µs 🐌 58.4 µs
# k: 2048; l: 4; m: 7168; seed: 1111
# ⏱ 24.6 ± 0.02 µs
# ⚡ 23.5 µs 🐌 25.6 µs
# Kernel configuration parameters
# threads_per_m = 32
# # Make sure threads_per_m is divisible by 512
# threads_per_k = 512 // threads_per_m
# Gives k=16384 best performance.
# k: 16384; l: 1; m: 7168; seed: 1111
# ⏱ 33.8 ± 0.07 µs
# ⚡ 32.7 µs 🐌 35.0 µs
# k: 7168; l: 8; m: 4096; seed: 1111
# ⏱ 55.3 ± 0.03 µs
# ⚡ 54.2 µs 🐌 56.3 µs
# k: 2048; l: 4; m: 7168; seed: 1111
# ⏱ 20.6 ± 0.02 µs
# ⚡ 20.4 µs 🐌 22.6 µs
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
from cutlass.utils import SmemAllocator
# Kernel configuration parameters
threads_per_m = 32
# Make sure threads_per_m is divisible by 512
threads_per_k = 512 // threads_per_m
mma_tiler_mnk = (threads_per_m, 1, 64)
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)
# Helper function for ceiling division
def ceil_div(a, b):
return (a + b - 1) // b
# The CuTe reference 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, tidy, _ = 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 (same shape as gA_mkl)
# Here, block_M = (32, 4); block_K = (16, 4)
gSFA_mkl = cute.local_tile(
mSFA_mkl, cute.slice_(mma_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 (same shape as gB_nkl)
gSFB_nkl = cute.local_tile(
mSFB_nkl, cute.slice_(mma_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)
allocator = SmemAllocator()
# Allocate a buffer for row sum accumulation in shared memory
# FIXED: Use stride (1, threads_per_m) to avoid bank conflicts
# With unit stride in tidx dimension, consecutive threads access consecutive addresses
# This ensures conflict-free access when threads write their results
row_sum_buffer = allocator.allocate_tensor(
element_type=cutlass.Float32,
layout=cute.make_layout((threads_per_m, threads_per_k), stride=(1, threads_per_m))
)
k_tile_cnt = gA_mkl.layout[3].shape
for k_tile in range(tidy, k_tile_cnt, threads_per_k):
tAgA = gA_mkl[tidx, None, bidx, k_tile, bidz]
tBgB = gB_nkl[0, None, bidy, k_tile, bidz]
tAgSFA = gSFA_mkl[tidx, (0, None), bidx, k_tile, bidz]
tBgSFB = gSFB_nkl[0, (0, None), bidy, k_tile, bidz]
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 NVFP4 or FP8 values from global memory
a_val_nvfp4 = tAgA.load()
b_val_nvfp4 = tBgB.load()
sfa_val_fp8 = tAgSFA.load()
sfb_val_fp8 = tBgSFB.load()
# Store the converted values to RMEM CuTe tensors
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))
# Iterate over SF vector tiles and compute the scale&matmul accumulation
for sf_block in cutlass.range_constexpr(mma_tiler_mnk[2] // sf_vec_size):
tmp = cute.zeros_like(tCgC, cutlass.Float32)
base = sf_block * sf_vec_size
for offset in cutlass.range_constexpr(sf_vec_size):
tmp += tArA[base + offset] * tBrB[base + offset]
res += tArSFA[sf_block] * tBrSFB[sf_block] * tmp
row_sum_buffer[(tidx, tidy)] = res[0]
cute.arch.sync_threads()
if tidy == 0:
out = cute.zeros_like(tCgC, cutlass.Float32)
for i in cutlass.range_constexpr(threads_per_k):
out += row_sum_buffer[(tidx, i)]
# Store the final float16 result back to global memory
tCgC.store(out.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))
)
# Convert scale factor tensors to MMA layout
# The layout matches Tensor Core requirements: (((32, 4), REST_M), ((SF_K, 4), REST_K), (1, REST_L))
sfa_layout = blockscaled_utils.tile_atom_to_shape_SF(a_tensor.shape, sf_vec_size)
sfa_tensor = cute.make_tensor(sfa_ptr, sfa_layout)
sfb_layout = blockscaled_utils.tile_atom_to_shape_SF(b_tensor.shape, sf_vec_size)
sfb_tensor = cute.make_tensor(sfb_ptr, sfb_layout)
# 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], threads_per_m),
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_m, threads_per_k, 1],
cluster=(1, 1, 1),
)
return
# Global cache for compiled kernel
_compiled_kernel_cache = None
# This function is used to compile the kernel once and cache it and then allow users to
# run the kernel multiple times to get more accurate timing results.
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_permuted, sfb_permuted, 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_permuted.data_ptr(), cute.AddressSpace.gmem, assumed_align=32
)
sfb_ptr = make_ptr(
sf_dtype, sfb_permuted.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 cscrolls · 330 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 80767.
⋯ 34 unchanged lines# mma_tiler_mnk = (threads_per_m, 1, 64)# It's optimal for k=16384:# k: 16384; l: 1; m: 7168; seed: 1111- # ⏱ 34.8 ± 0.03 µs+ # ⏱ 34.1 ± 0.06 µs+ # ⚡ 32.7 µs 🐌 34.9 µs++ # k: 7168; l: 8; m: 4096; seed: 1111+ # ⏱ 57.5 ± 0.06 µs+ # ⚡ 56.4 µs 🐌 58.4 µs++ # k: 2048; l: 4; m: 7168; seed: 1111+ # ⏱ 24.6 ± 0.02 µs+ # ⚡ 23.5 µs 🐌 25.6 µs++ # Kernel configuration parameters+ # threads_per_m = 32+ # # Make sure threads_per_m is divisible by 512+ # threads_per_k = 512 // threads_per_m+ # Gives k=16384 best performance.+ # k: 16384; l: 1; m: 7168; seed: 1111+ # ⏱ 33.8 ± 0.07 µs# ⚡ 32.7 µs 🐌 35.0 µs# k: 7168; l: 8; m: 4096; seed: 1111- # ⏱ 59.2 ± 0.06 µs- # ⚡ 57.3 µs 🐌 60.4 µs+ # ⏱ 55.3 ± 0.03 µs+ # ⚡ 54.2 µs 🐌 56.3 µs# k: 2048; l: 4; m: 7168; seed: 1111- # ⏱ 24.8 ± 0.04 µs- # ⚡ 24.5 µs 🐌 26.7 µs- # So for different problem size, choose different params.+ # ⏱ 20.6 ± 0.02 µs+ # ⚡ 20.4 µs 🐌 22.6 µsimport torchfrom task import input_t, output_t⋯ 5 unchanged linesfrom cutlass.utils import SmemAllocator# Kernel configuration parameters- threads_per_m = 64- # Make sure threads_per_m is divisible by 1024- threads_per_k = 1024 // threads_per_m+ threads_per_m = 32+ # Make sure threads_per_m is divisible by 512+ threads_per_k = 512 // threads_per_mmma_tiler_mnk = (threads_per_m, 1, 64)ab_dtype = cutlass.Float4E2M1FN # FP4 data type for A and Bsf_dtype = cutlass.Float8E4M3FN # FP8 data type for scale factors⋯ 46 unchanged linesallocator = SmemAllocator()# Allocate a buffer for row sum accumulation in shared memory- row_sum_buffer = allocator.allocate_tensor(element_type=cutlass.Float32, layout=cute.make_layout((threads_per_m, threads_per_k), stride = (threads_per_k, 1)))+ # FIXED: Use stride (1, threads_per_m) to avoid bank conflicts+ # With unit stride in tidx dimension, consecutive threads access consecutive addresses+ # This ensures conflict-free access when threads write their results+ row_sum_buffer = allocator.allocate_tensor(+ element_type=cutlass.Float32,+ layout=cute.make_layout((threads_per_m, threads_per_k), stride=(1, threads_per_m))+ )k_tile_cnt = gA_mkl.layout[3].shapefor k_tile in range(tidy, k_tile_cnt, threads_per_k):⋯ 186 unchanged lines# Execute the compiled kernelcompiled_func(a_ptr, b_ptr, sfa_ptr, sfb_ptr, c_ptr, (m, n, k, l))- return c+ return cNo newline at end of file
scrolls · 75 diff lines total
Best evidence level for this revision: reported
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