submission 93595
Clem_Hardy · python · License unknown
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35.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-gemv-93595?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 digestsha256:1df410c283b3a7af458e39643e8cf531da8c77bafd96b1329d587a0a55c0427a
license declaredunknown
license concludedunknown
authorsClem_Hardy
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 Bmma
mma_op = cute.MMA_Atom(cute.SM80_16x8x16_F32F16F16F32_TN)shared-memory
smem_layout = cute.make_layout((threads_per_m, threads_per_k), stride = (threads_per_k, 1))Kernel source
35.py369 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
# 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
accum_dtype = cutlass.Float32
sf_vec_size = 16 # Scale factor block size (16 elements share one scale)
threads_per_m = 16 # Number of threads per CUDA thread block
threads_per_k = 16
mma_tiler_mnk = (threads_per_m, 1, 128)
"""
@cute.kernel
def kernel(
mA_mkl: cute.Tensor,
mB_nkl: cute.Tensor,
mSFA_mkl: cute.Tensor,
mSFB_nkl: cute.Tensor,
mC_mnl: cute.Tensor,
):
# 1. CONFIGURATION TENSOR CORE (MMA)
# Utilisation de l'instruction FP16 -> FP32 (16x8x16)
# Layout TN : A (Col-Major), B (Row-Major) est le standard pour GEMM
mma_op = cute.MMA_Atom(cute.SM80_16x8x16_F32F16F16F32_TN)
# On étend cet atome pour couvrir notre Block de threads (32 threads)
# 1 warp suffit pour exécuter un atome 16x8x16
tiled_mma = cute.make_tiled_mma(mma_op)
# Get CUDA block and thread indices
bidx, bidy, bidz = cute.arch.block_idx()
tidx, _, _ = cute.arch.thread_idx()
# --- Gestion des Tuiles Globales (Similaire à avant) ---
# On garde mma_tiler_mnk pour le découpage global
# A: [BlockM, BlockK]
gA_mkl = cute.local_tile(mA_mkl, cute.slice_(mma_tiler_mnk, (None, 0, None)), (None, None, None))
gSFA_mkl = cute.local_tile(mSFA_mkl, cute.slice_(mma_tiler_mnk, (None, 0, None)), (None, None, None))
# B: [BlockN, BlockK] - Note: BlockN doit être au moins 8 pour le MMA
gB_nkl = cute.local_tile(mB_nkl, cute.slice_(mma_tiler_mnk, (0, None, None)), (None, None, None))
gSFB_nkl = cute.local_tile(mSFB_nkl, cute.slice_(mma_tiler_mnk, (0, None, None)), (None, None, None))
# C: [BlockM, BlockN]
gC_mnl = cute.local_tile(mC_mnl, cute.slice_(mma_tiler_mnk, (None, None, 0)), (None, None, None))
# --- Partitionnement pour le MMA (Le changement magique) ---
# Accumulateur (C) : Partitionné selon le TiledMMA
# Cela distribue la matrice C résultante sur les registres des threads
tCgC = gC_mnl(None, None, bidx, bidy, bidz) # Vue globale de la tuile C
tCrC = tiled_mma.get_slice(0).partition_C(tCgC) # Vue registre partitionnée
tCrC.clear() # Initialiser à 0
# --- Boucle K (Main Loop) ---
k_tile_cnt = gA_mkl.layout[3].shape
# Tensor Core K-block size = 16.
# On itère par blocs de 16 (taille de l'atome K)
for k_tile in range(k_tile_cnt):
# 1. Charger les données depuis la mémoire globale
# On sélectionne la k-ième tuile
tAgA = gA_mkl(None, None, bidx, k_tile, bidz)
tBgB = gB_nkl(None, None, bidy, k_tile, bidz)
tAgSFA = gSFA_mkl(None, None, bidx, k_tile, bidz)
tBgSFB = gSFB_nkl(None, None, bidy, k_tile, bidz)
# 2. Partitionner les registres d'entrée (Fragments) pour le MMA
# A (MxK) -> Fragment A
tZrA = tiled_mma.get_slice(0).partition_fragment_A(tAgA)
tZrSFA = tiled_mma.get_slice(0).partition_fragment_A(tAgSFA)
# B (NxK) -> Fragment B
tZrB = tiled_mma.get_slice(0).partition_fragment_B(tBgB)
tZrSFB = tiled_mma.get_slice(0).partition_fragment_B(tBgSFB)
# 3. Chargement (Load)
# Note: Sur B200, on utiliserait cp.async ici
rA_fp4 = tZrA.load()
rB_fp4 = tZrB.load()
rSFA_fp8 = tZrSFA.load()
rSFB_fp8 = tZrSFB.load()
# 4. Conversion et Application de l'Échelle (Dequantize)
# On convertit tout en FP16 pour le Tensor Core
rA_f16 = rA_fp4.to(cutlass.Float16)
rB_f16 = rB_fp4.to(cutlass.Float16)
rSFA_f16 = rSFA_fp8.to(cutlass.Float16)
rSFB_f16 = rSFB_fp8.to(cutlass.Float16)
# Calcul : A_scaled = A_fp16 * ScaleA_fp16
# Cela se fait élément par élément dans les registres
rA_scaled = rA_f16 * rSFA_f16
rB_scaled = rB_f16 * rSFB_f16
# 5. L'Instruction MMA (Tensor Core)
# Équivalent à : tCrC += rA_scaled * rB_scaled
# Mais fait en un cycle hardware pour un bloc 16x8x16
cute.gemm(tiled_mma, tCrC, rA_scaled, rB_scaled, tCrC)
# --- Epilogue ---
# Le résultat est dans tCrC (fragmenté dans les registres)
# On doit le re-mapper vers la mémoire globale
# Pour GEMV N=1, on ne veut souvent que la colonne 0 si on a calculé N=8
# Dans CuTe, on fait l'inverse du partitionnement C
# On crée une "View" registre du tenseur global de sortie partitionné
tCgC_part = tiled_mma.get_slice(0).partition_C(tCgC)
# Stockage (avec conversion FP32 -> FP16)
# Note: Ceci écrit 8 colonnes (si N>=8). Pour N=1, il faudrait masquer.
# Pour simplifier ici, on suppose que tCgC a assez de place ou on utilise predication.
# Copie simple (TMA store serait mieux sur B200)
tCgC_part.store(tCrC.to(cutlass.Float16))
return
"""
@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, accum_dtype)
# Shared Memory
allocator = cutlass.utils.SmemAllocator()
smem_layout = cute.make_layout((threads_per_m, threads_per_k), stride = (threads_per_k, 1))
shared_res = allocator.allocate_tensor(element_type=cutlass.Float32, layout=smem_layout)
# 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(tidy, k_tile_cnt, threads_per_k, unroll_full=True):
tAgA = gA_mkl[tidx, None, bidx, k_tile, bidz]
tBgB = gB_nkl[0, None, bidy, k_tile, bidz]
tAgSFA = gSFA_mkl[tidx, None, bidx, k_tile, bidz]
tBgSFB = gSFB_nkl[0, None, bidy, k_tile, bidz]
tArA = cute.make_rmem_tensor_like(tAgA, c_dtype)
tBrB = cute.make_rmem_tensor_like(tBgB, c_dtype)
tABrAB = cute.make_rmem_tensor_like(tAgA, c_dtype)
tArSFA = cute.make_rmem_tensor_like(tAgSFA, accum_dtype)
tBrSFB = cute.make_rmem_tensor_like(tBgSFB, accum_dtype)
tSFrSF = cute.make_rmem_tensor_like(tAgSFA, accum_dtype)
# 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()
# Convert loaded values to float32 for computation (FFMA)
a_val = a_val_nvfp4.to(c_dtype)
b_val = b_val_nvfp4.to(c_dtype)
sfa_val = sfa_val_fp8.to(sf_dtype)
sfb_val = sfb_val_fp8.to(sf_dtype)
# Store the converted values to RMEM CuTe tensors
tArA.store(a_val)
tBrB.store(b_val)
tArSFA.store(sfa_val)
tBrSFB.store(sfb_val)
tABrAB.store(tArA.load() * tBrB.load())
tSFrSF.store(tArSFA.load() * tBrSFB.load())
# Iterate over SF vector tiles and compute the scale&matmul accumulation
for i in cutlass.range_constexpr(mma_tiler_mnk[2]):
res += tABrAB[i] * tSFrSF[i]
shared_res[(tidx, tidy)] = res[0]
cute.arch.sync_threads()
if tidy == 0:
out = cute.zeros_like(tCgC, accum_dtype)
for i in cutlass.range_constexpr(threads_per_k):
out += shared_res[(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)
cluster_dims = (2, 1, 1)
grid_m = cute.ceil_div(c_tensor.shape[0], threads_per_m)
if grid_m % cluster_dims[0] != 0:
grid_m += (cluster_dims[0] - (grid_m % cluster_dims[0]))
grid = (grid_m, 1, c_tensor.shape[2])
kernel(a_tensor, b_tensor, sfa_tensor, sfb_tensor, c_tensor).launch(
grid=grid,
block=[threads_per_m, threads_per_k, 1],
cluster=cluster_dims,
)
return
_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_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
#if l==1:
# return custom_kernel_torch(data)
# 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 c
scrolls · 369 lines total
Source code from GPU Mode and the KernelBot dataset · June 9 Researcher Reciprocity License v1.0
Best evidence level for this revision: reported
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