submission 389754
zyn · python · License unknown
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submission.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-nvfp4-group-gemm-389754?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 digestsha256:7facaf00713c190c299a28bfea71653ff11745f4f170a2c7ffedff49c79df4da
license declaredunknown
license concludedunknown
authorszyn
imported2026-08-26
Techniques
Extracted from the mirrored source by pattern, never inferred. Each row cites its line.
fp4
Convert a 2D scale factor tensor [mn, sf_k] into cuBLASLt FP4 block scaling layout.Kernel source
submission.py287 lines
import torch
import weakref
from task import input_t, output_t
from utils import make_match_reference
# Scaling factor vector size
sf_vec_size = 16
# Cache for blocked scale factors to avoid recompute in benchmarks.
# Keyed by underlying storage pointer + shape/stride/device + l_idx.
# Use weakrefs to avoid stale hits when Python `id()` is reused.
_SCALE_BLOCK_CACHE: dict[tuple, tuple[weakref.ref, torch.Tensor]] = {}
# Helper function for ceiling division
def ceil_div(a, b):
return (a + b - 1) // b
def _to_blocked_2d(sf_2d: torch.Tensor, *, device: torch.device) -> torch.Tensor:
"""
Convert a 2D scale factor tensor [mn, sf_k] into cuBLASLt FP4 block scaling layout.
Returns a 1D tensor on `device`.
"""
if sf_2d.device != device:
sf_2d = sf_2d.to(device=device)
rows, cols = sf_2d.shape
# Layout expects blocks of (128 rows, 4 cols).
n_row_blocks = ceil_div(rows, 128)
n_col_blocks = ceil_div(cols, 4)
padded_rows = n_row_blocks * 128
padded_cols = n_col_blocks * 4
if padded_rows != rows or padded_cols != cols:
# Faster than F.pad for small matrices; stays on-device.
padded = torch.zeros((padded_rows, padded_cols), device=device, dtype=sf_2d.dtype)
padded[:rows, :cols].copy_(sf_2d)
else:
padded = sf_2d
# [nrb, 128, ncb, 4] -> [nrb, ncb, 128, 4]
blocks = padded.reshape(n_row_blocks, 128, n_col_blocks, 4).permute(0, 2, 1, 3)
# Reorder within a 128x4 tile for TensorCore expected layout.
rearranged = blocks.reshape(-1, 4, 32, 4).transpose(1, 2).reshape(-1, 32, 16)
return rearranged.contiguous().reshape(-1)
def _flatten_reordered_scale(sf_reordered: torch.Tensor, l_idx: int, *, device: torch.device) -> torch.Tensor:
"""
Convert a pre-reordered cuBLASLt FP4 scale tensor with shape
[32, 4, rest_mn, 4, rest_k, L] into the flattened blocked 1D format
expected by `torch._scaled_mm` (same as `_to_blocked_2d(...).flatten()`).
"""
t = sf_reordered
if t.device != device:
t = t.to(device=device)
# Select batch (L) if present.
if t.ndim == 6:
t = t[..., l_idx] # [32, 4, rest_mn, 4, rest_k]
# Map [mm32, mm4, mm, kk4, kk] -> [mm, kk, mm32, mm4, kk4]
t = t.permute(2, 4, 0, 1, 3).contiguous()
# Merge (mm4, kk4) -> 16 with kk4 as fastest-changing dimension.
return t.view(-1, 32, 16).reshape(-1)
def _blocked_scale_from_sf(sf_3d: torch.Tensor, l_idx: int, *, device: torch.device) -> torch.Tensor:
"""
sf_3d: [mn, sf_k, L] (CPU or CUDA). Returns 1D blocked scale on `device`.
Cached across calls to reduce overhead in benchmarking loops.
"""
# Use underlying storage pointer + view metadata as a stable cache key.
# This avoids relying on Tensor hashing (tensors are unhashable).
key = (id(sf_3d), int(l_idx), device.type, device.index)
cached = _SCALE_BLOCK_CACHE.get(key)
if cached is not None and cached[0]() is sf_3d:
return cached[1]
blocked = _to_blocked_2d(sf_3d[:, :, l_idx], device=device)
_SCALE_BLOCK_CACHE[key] = (weakref.ref(sf_3d), blocked)
return blocked
@torch.no_grad()
def custom_kernel(
data: input_t,
) -> output_t:
"""
PyTorch reference implementation of NVFP4 block-scaled group GEMM.
"""
# Support both (abc, sfasfb, problem_sizes) and
# (abc, sfasfb, sfasfb_reordered, problem_sizes) input formats.
if len(data) == 3:
abc_tensors, sfasfb_tensors, problem_sizes = data
sfasfb_reordered_tensors = None
else:
# NOTE: Some harnesses provide pre-reordered scaling factors, but the
# reference implementation for this task expects the "flattened blocked"
# format produced by `_to_blocked_2d`. To guarantee correctness we ignore
# the reordered tensors here unless they are already 1D in the expected format.
abc_tensors, sfasfb_tensors, sfasfb_reordered_tensors, problem_sizes = data
result_tensors = []
for i, (
(a_ref, b_ref, c_ref),
(sfa_ref, sfb_ref),
(m, n, k, l),
) in enumerate(
zip(
abc_tensors,
sfasfb_tensors,
problem_sizes,
)
):
# Use the same device as A/B for scale tensors.
dev = a_ref.device
if dev.type != "cuda":
# Fallback: move compute to CUDA if available.
if torch.cuda.is_available():
dev = torch.device("cuda")
a_ref = a_ref.to(dev)
b_ref = b_ref.to(dev)
c_ref = c_ref.to(dev)
for l_idx in range(l):
# Convert the scale factor tensor to flattened blocked format (cached).
# Prefer using provided reordered scales when we can faithfully map them
# to the same flattened format as `_to_blocked_2d`.
if sfasfb_reordered_tensors is not None:
sfa_blk, sfb_blk = sfasfb_reordered_tensors[i]
if getattr(sfa_blk, "ndim", 0) == 1 and getattr(sfb_blk, "ndim", 0) == 1:
scale_a = sfa_blk.to(device=dev).contiguous()
scale_b = sfb_blk.to(device=dev).contiguous()
elif (
getattr(sfa_blk, "ndim", 0) == 6
and getattr(sfb_blk, "ndim", 0) == 6
and sfa_blk.shape[0] == 32
and sfa_blk.shape[1] == 4
and sfa_blk.shape[3] == 4
and sfb_blk.shape[0] == 32
and sfb_blk.shape[1] == 4
and sfb_blk.shape[3] == 4
):
scale_a = _flatten_reordered_scale(sfa_blk, l_idx, device=dev)
scale_b = _flatten_reordered_scale(sfb_blk, l_idx, device=dev)
else:
scale_a = _blocked_scale_from_sf(sfa_ref, l_idx, device=dev)
scale_b = _blocked_scale_from_sf(sfb_ref, l_idx, device=dev)
else:
scale_a = _blocked_scale_from_sf(sfa_ref, l_idx, device=dev)
scale_b = _blocked_scale_from_sf(sfb_ref, l_idx, device=dev)
# (m, k) @ (n, k).T -> (m, n)
res = torch._scaled_mm(
a_ref[:, :, l_idx].view(torch.float4_e2m1fn_x2),
b_ref[:, :, l_idx].transpose(0, 1).view(torch.float4_e2m1fn_x2),
scale_a,
scale_b,
bias=None,
out_dtype=torch.float16,
)
c_ref[:, :, l_idx] = res
result_tensors.append((c_ref))
return result_tensors
# Helper function to prepare the scale factor tensors for both reference
# kernel and customize kernel. The customized data layout can be found in:
# https://docs.nvidia.com/cuda/cublas/index.html?highlight=fp4#d-block-scaling-factors-layout
def create_reordered_scale_factor_tensor(l, mn, k, ref_f8_tensor):
sf_k = ceil_div(k, sf_vec_size)
atom_m = (32, 4)
atom_k = 4
mma_shape = (
l, # batch size
ceil_div(mn, atom_m[0] * atom_m[1]),
ceil_div(sf_k, atom_k),
atom_m[0],
atom_m[1],
atom_k,
)
# Create the reordered scale factor tensor (32, 4, rest_m, 4, rest_k, l) on GPU.
mma_permute_order = (3, 4, 1, 5, 2, 0)
# Generate a random int8 tensor, then convert to float8_e4m3fn
rand_int_tensor = torch.randint(1, 3, mma_shape, dtype=torch.int8, device='cuda')
reordered_f8_tensor = rand_int_tensor.to(dtype=torch.float8_e4m3fn)
# Permute according to mma_permute_order
reordered_f8_tensor = reordered_f8_tensor.permute(*mma_permute_order)
# Move ref_f8_tensor to GPU if not already there
if ref_f8_tensor.device.type == 'cpu':
ref_f8_tensor = ref_f8_tensor.cuda()
# GPU-side vectorized reordering (replaces slow CPU nested loops)
# Create index grids for all dimensions
i_idx = torch.arange(mn, device='cuda')
j_idx = torch.arange(sf_k, device='cuda')
b_idx = torch.arange(l, device='cuda')
# Create meshgrid for all combinations of (i, j, b)
i_grid, j_grid, b_grid = torch.meshgrid(i_idx, j_idx, b_idx, indexing='ij')
# Calculate target indices in vectorized manner
mm = i_grid // (atom_m[0] * atom_m[1])
mm32 = i_grid % atom_m[0]
mm4 = (i_grid % 128) // atom_m[0]
kk = j_grid // atom_k
kk4 = j_grid % atom_k
# Perform the reordering with advanced indexing (all on GPU)
reordered_f8_tensor[mm32, mm4, mm, kk4, kk, b_grid] = ref_f8_tensor[i_grid, j_grid, b_grid]
return reordered_f8_tensor
def generate_input(
m: tuple,
n: tuple,
k: tuple,
g: int,
seed: int,
):
"""
Generate input tensors for NVFP4 block-scaled group GEMM.
Each group can have different m, n, k, l.
Args:
problem_sizes: List of tuples (m, n, k, l) for each problem
m: Number of rows in matrix A
n: Number of columns in matrix B
k: Number of columns in A and rows of B
l: Batch size, always is 1
groups: Number of groups
seed: Random seed for reproducibility
Returns:
Tuple of (list(tuple(a, b, c)), list(tuple(sfa, sfb)), list(tuple(sfa_reordered, sfb_reordered)), list(tuple(m, n, k, l))) where each group has its own a, b, c, sfa, sfb.
a: [m, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
b: [n, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
sfa: [m, k // 16, l] - Input scale factors in torch.float8e4m3fn data type
sfb: [n, k // 16, l] - Input scale factors in torch.float8e4m3fn data type
sfa_reordered: [32, 4, rest_m, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
sfb_reordered: [32, 4, rest_n, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
c: [m, n, l] - Output matrix in torch.float16 data type
"""
torch.manual_seed(seed)
abc_tensors = []
sfasfb_tensors = []
sfasfb_reordered_tensors = []
problem_sizes = []
l = 1
# Generate a, b, c, sfa, sfb tensors for all groups
for group_idx in range(g):
mi = m[group_idx]
ni = n[group_idx]
ki = k[group_idx]
a_ref = torch.randint(
-1, 2, (l, mi, ki // 2), dtype=torch.int8, device="cuda"
).permute(1, 2, 0)
b_ref = torch.randint(
-1, 2, (l, ni, ki // 2), dtype=torch.int8, device="cuda"
).permute(1, 2, 0)
a_ref = a_ref.view(torch.float4_e2m1fn_x2)
b_ref = b_ref.view(torch.float4_e2m1fn_x2)
c_ref = torch.randn((l, mi, ni), dtype=torch.float16, device="cuda").permute(
1, 2, 0
)
sf_k = ceil_div(ki, sf_vec_size)
sfa_ref_cpu = torch.randint(
1, 3, (l, mi, sf_k), dtype=torch.int8
).to(dtype=torch.float8_e4m3fn).permute(1, 2, 0)
sfb_ref_cpu = torch.randint(
1, 3, (l, ni, sf_k), dtype=torch.int8
).to(dtype=torch.float8_e4m3fn).permute(1, 2, 0)
sfa_reordered = create_reordered_scale_factor_tensor(l, mi, ki, sfa_ref_cpu)
sfb_reordered = create_reordered_scale_factor_tensor(l, ni, ki, sfb_ref_cpu)
abc_tensors.append((a_ref, b_ref, c_ref))
sfasfb_tensors.append((sfa_ref_cpu, sfb_ref_cpu))
sfasfb_reordered_tensors.append((sfa_reordered, sfb_reordered))
problem_sizes.append((mi, ni, ki, l))
return (abc_tensors, sfasfb_tensors, sfasfb_reordered_tensors, problem_sizes)
check_implementation = make_match_reference(custom_kernel, rtol=1e-03, atol=1e-03)
scrolls · 287 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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