KernelBench hard · RTX PRO 6000
W4A16 GEMM Claude Opus 4.8
manually audited: clean
Clean cell. The submission is a single fused Triton kernel that unpacks AWQ-style asymmetric int4 weights, dequantizes per 128-group with live scale/zero loads, and accumulates with tl.dot in fp32 -- one pass, no intermediate dequantized weight matrix. The one clever structural trick is an even/odd K-split: the K reduction is decomposed into the low-nibble and high-nibble sub-sums so the kernel never has to interleave unpacked int4 values, which is a legitimate math identity, not a shortcut. Weights stay packed int4 in the registered buffers (0.5 B/elem streamed), exactly the memory regime the problem grades. No caching, memoization, CUDA graphs, data_ptr keys, constant outputs, grader sniffing, or forbidden ops. Unmodified checker passed (PASS, exit 0) including default numeric stress, in both the original session and the isolated sequential regrade; geomean peak fraction 0.1143 across the five shapes.
Per-shape vs governing ceilingeach shape graded against whichever binds — bf16 compute or HBM bandwidth
compute-bound memory-bound · bar + right column = official fraction of the ceiling (the geomean input)
geomean(18.7% · 13.9% · 5.8% · 7.3% · 17.8%) = 11.4%
Kernel source (redacted)
"""W4A16 weight-only int4 GEMM (AWQ/GPTQ-style asymmetric int4) for SM120.
Fused unpack + dequant + GEMM in a single Triton pass.
Layout / scheme (must match reference.py exactly for load_state_dict strict=True):
x: (M, K) bf16
w_q: (K//2, N) uint8 -- two int4 packed per byte:
low nibble = even-K row (k = 2*kh)
high nibble = odd-K row (k = 2*kh+1)
scales: (K//128, N) bf16
zeros: (K//128, N) bf16 -- stored as float zero-point
out: (M, N) bf16
Dequant (per group of 128 along K):
w_bf[k,n] = (unpack(w_q)[k,n] - zeros[k//128,n]) * scales[k//128,n]
Trick: the K reduction is order-independent, so split it into even/odd k:
y = sum_kh x[2kh]*w_lo[kh] + sum_kh x[2kh+1]*w_hi[kh]
with w_lo = low nibble, w_hi = high nibble. Skips int4 interleaving.
BLOCK_K = 128 so one K-block == one quant group == one scale/zero vector.
"""
from __future__ import annotations
import torch
import torch.nn as nn
import triton
import triton.language as tl
GROUP_SIZE = 128
def _pack_int4(w_q: torch.Tensor) -> torch.Tensor:
K, N = w_q.shape
assert K % 2 == 0
lo = w_q[[REDACTED: IP]].to(torch.uint8) & 0xF
hi = w_q[[REDACTED: IP]].to(torch.uint8) & 0xF
return (lo | (hi << 4)).contiguous()
def _direct_configs():
cfgs = []
for bm in (16, 32, 64, 128, 256):
for bn in (64, 128, 256):
for w, s in ((4, 3), (4, 4), (8, 3), (8, 4)):
cfgs.append(
triton.Config(
{"BLOCK_M": bm, "BLOCK_N": bn, "GROUP_M": 8},
num_warps=w, num_stages=s,
)
)
return cfgs
@triton.autotune(configs=_direct_configs(), key=["M", "N", "K"])
@triton.jit
def _w4a16_direct(
x_ptr, wq_ptr, s_ptr, z_ptr, out_ptr,
M, N, K,
stride_xm, stride_xk,
stride_wkh, stride_wn,
stride_sg, stride_sn,
stride_zg, stride_zn,
stride_om, stride_on,
BLOCK_M: tl.constexpr, BLOCK_N: tl.constexpr, GROUP_M: tl.constexpr,
):
BLOCK_K: tl.constexpr = 128
HK: tl.constexpr = BLOCK_K // 2 # 64 packed bytes per K-block
pid = tl.program_id(0)
num_pid_m = tl.cdiv(M, BLOCK_M)
num_pid_n = tl.cdiv(N, BLOCK_N)
num_pid_in_group = GROUP_M * num_pid_n
group_id = pid // num_pid_in_group
first_pid_m = group_id * GROUP_M
group_size_m = min(num_pid_m - first_pid_m, GROUP_M)
pid_m = first_pid_m + (pid % group_size_m)
pid_n = (pid % num_pid_in_group) // group_size_m
offs_m = pid_m * BLOCK_M + tl.arange(0, BLOCK_M)
offs_n = pid_n * BLOCK_N + tl.arange(0, BLOCK_N)
offs_kh = tl.arange(0, HK)
m_mask = offs_m < M
n_mask = offs_n < N
num_k_blocks = tl.cdiv(K, BLOCK_K)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
for kb in range(0, num_k_blocks):
k0 = kb * BLOCK_K
kh0 = k0 // 2
offs_ke = k0 + 2 * offs_kh
offs_ko = offs_ke + 1
x_e = tl.load(
x_ptr + offs_m[:, None] * stride_xm + offs_ke[None, :] * stride_xk,
mask=m_mask[:, None], other=0.0,
)
x_o = tl.load(
x_ptr + offs_m[:, None] * stride_xm + offs_ko[None, :] * stride_xk,
mask=m_mask[:, None], other=0.0,
)
wq = tl.load(
wq_ptr + (kh0 + offs_kh)[:, None] * stride_wkh + offs_n[None, :] * stride_wn,
mask=n_mask[None, :], other=0,
)
lo = (wq & 0xF).to(tl.float32)
hi = ((wq >> 4) & 0xF).to(tl.float32)
s = tl.load(s_ptr + kb * stride_sg + offs_n * stride_sn, mask=n_mask, other=0.0).to(tl.float32)
z = tl.load(z_ptr + kb * stride_zg + offs_n * stride_zn, mask=n_mask, other=0.0).to(tl.float32)
w_lo = ((lo - z[None, :]) * s[None, :]).to(tl.bfloat16)
w_hi = ((hi - z[None, :]) * s[None, :]).to(tl.bfloat16)
acc += tl.dot(x_e, w_lo)
acc += tl.dot(x_o, w_hi)
out_off = out_ptr + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
out_mask = m_mask[:, None] & n_mask[None, :]
tl.store(out_off, acc.to(tl.bfloat16), mask=out_mask)
def _w4a16_gemm(x, wq, scales, zeros, N):
M, K = x.shape
x = x.contiguous()
out = torch.empty((M, N), dtype=torch.bfloat16, device=x.device)
def grid(meta):
return (triton.cdiv(M, meta["BLOCK_M"]) * triton.cdiv(N, meta["BLOCK_N"]),)
_w4a16_direct[grid](
x, wq, scales, zeros, out,
M, N, K,
x.stride(0), x.stride(1),
wq.stride(0), wq.stride(1),
scales.stride(0), scales.stride(1),
zeros.stride(0), zeros.stride(1),
out.stride(0), out.stride(1),
)
return out
class Model(nn.Module):
def __init__(self, M: int, N: int, K: int, group_size: int = GROUP_SIZE):
super().__init__()
assert K % group_size == 0
assert K % 2 == 0
self.M, self.N, self.K = M, N, K
self.group_size = group_size
n_groups = K // group_size
torch.manual_seed(0xC0DE ^ (M * 1315423911 + N * 2654435761 + K))
w_full = torch.randn(K, N, dtype=torch.float32) * 0.02
w_g = w_full.view(n_groups, group_size, N)
w_min = w_g.min(dim=1, keepdim=True).values
w_max = w_g.max(dim=1, keepdim=True).values
scales = (w_max - w_min).clamp_min(1e-8) / 15.0
zeros = (-w_min / scales).round().clamp(0, 15)
w_q = ((w_g / scales) + zeros).round().clamp(0, 15).to(torch.uint8).view(K, N)
self.register_buffer("w_q", _pack_int4(w_q))
self.register_buffer("scales", scales.squeeze(1).to(torch.bfloat16))
self.register_buffer("zeros", zeros.squeeze(1).to(torch.bfloat16))
def forward(self, x: torch.Tensor) -> torch.Tensor:
return _w4a16_gemm(x, self.w_q, self.scales, self.zeros, self.N)
M = 1
N = 12288
K = 4096
def get_inputs():
x = torch.randn(M, K, dtype=torch.bfloat16)
return [x]
def get_init_inputs():
return [M, N, K]
20260719_030522_claude_claude-opus-4-8_07_w4a16_gemm