submission 517169
divc13 · python · License unknown
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No package. Vendor the mirrored source: 206 lines, June 9 Researcher Reciprocity License v1.0.
submission.py
curl "https://kernelindex.com/api/v1/implementations/kernelbot-amd-mxfp4-mm-517169?include=source"interfacepython
Compatibility
measured onAMD Instinct MI355X
declared hardwareAMD Instinct MI355X
architecturesgfx950
dtypesbf16, mxfp4
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 digestsha256:23b1650dbf4ccd8ae377189e8ade842126661a227433689de2e69698416ca965
license declaredunknown
license concludedunknown
authorsdivc13
imported2026-08-15
Techniques
Extracted from the mirrored source by pattern, never inferred. Each row cites its line.
fp4
FP4 quant + FP4 GEMM: bf16 A, MXFP4 B -> MXFP4 per-1x32 quant A -> gemm_a4w4 -> bf16 C.fp8
acc += tl.dot(a_q_tile.to(tl.float8e4nv), b_tile.T.to(tl.float8e4nv)).to(tl.float32)mma
acc += tl.dot(a_q_tile.to(tl.float8e4nv), b_tile.T.to(tl.float8e4nv)).to(tl.float32)tile-k = 64
BLOCK_K = 64 # must be multiple of 64tile-n = 64
BLOCK_N = 64Kernel source
submission.py206 lines
"""
FP4 quant + FP4 GEMM: bf16 A, MXFP4 B -> MXFP4 per-1x32 quant A -> gemm_a4w4 -> bf16 C.
Optimization 5: fused quantization + GEMM in a single Triton kernel.
Problem: the two-kernel pipeline writes A_q and A_scale_sh to HBM then reads them back:
BF16 A (HBM) -> [quant kernel] -> FP4 A_q + scales (HBM) -> [GEMM kernel] reads them back
For M=16, K=7168: A_q is 16*7168/2 = 57 KB written then immediately re-read = 114 KB wasted.
Fix: a single Triton kernel that:
1. Loads a [BLOCK_M, BLOCK_K] tile of BF16 A into registers
2. Computes MXFP4 quantization on-chip (find abs-max per 32, compute E8M0 scale, pack to fp4x2)
3. Feeds the packed fp4 tile directly into tl.dot against B — A_q never touches HBM
4. Accumulates into fp32 accumulator, converts to bf16, writes C to HBM
The quantization math for MXFP4 E2M1 per-1x32:
- FP4 E2M1 representable magnitudes: 0, 0.5, 1, 1.5, 2, 3, 4, 6 (max = 6)
- scale = 2^round(log2(max_abs / 6)) in E8M0 (power-of-2 only)
- quantized = clamp(round(val / scale), fp4_min, fp4_max)
- two fp4 values packed into one uint8: low nibble = first, high nibble = second
"""
from task import input_t, output_t
import aiter
from aiter import QuantType, dtypes
import torch
import triton
import triton.language as tl
# FP4 E2M1 lookup: map float magnitude to nearest fp4 magnitude (0..6 index -> 0..7 value)
# Values: 0, 0.5, 1, 1.5, 2, 3, 4, 6
_FP4_MAX = 6.0
@triton.jit
def _e8m0_scale(max_abs, fp4_max: tl.constexpr):
"""Compute E8M0 scale: largest power of 2 such that max_abs/scale <= fp4_max."""
# scale = 2^floor(log2(max_abs / fp4_max))
# Use tl.log2 and tl.exp2 for power-of-2 computation
ratio = max_abs / fp4_max
log2_ratio = tl.log2(ratio.to(tl.float32) + 1e-30)
exp = tl.floor(log2_ratio)
return tl.exp2(exp)
@triton.jit
def _quant_to_fp4(val, scale):
"""Quantize a float value to fp4 E2M1 integer (0..7 for non-negative)."""
# Representable fp4 magnitudes (E2M1 normal + subnormal):
# 0=0, 1=0.5, 2=1, 3=1.5, 4=2, 5=3, 6=4, 7=6
# Divide by scale, round to nearest fp4 level
scaled = val / scale
# Clamp to [0, 6] (magnitude), then find nearest level via rounding thresholds
scaled = tl.clamp(scaled, 0.0, 6.0)
# Piecewise round to fp4 levels: boundaries at midpoints between levels
# 0|0.25|0.75|1.25|1.75|2.5|3.5|5.0
q = tl.where(scaled < 0.25, 0,
tl.where(scaled < 0.75, 1,
tl.where(scaled < 1.25, 2,
tl.where(scaled < 1.75, 3,
tl.where(scaled < 2.5, 4,
tl.where(scaled < 3.5, 5,
tl.where(scaled < 5.0, 6, 7)))))))
return q
@triton.jit
def _fused_quant_gemm_kernel(
# A: [M, K] bf16
A_ptr, stride_am, stride_ak,
# B_shuffle: [N, K//2] fp4x2, pre-shuffled (16,16) tile layout
B_ptr, stride_bn, stride_bk,
# B_scale_sh: [N_pad, K//32] e8m0
Bs_ptr, stride_bsn, stride_bsk,
# C: [M, N] bf16 output
C_ptr, stride_cm, stride_cn,
M, N, K,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr, # must be multiple of 64 (32 scale group * 2 pack)
GROUP_SIZE: tl.constexpr, # = 32, elements per scale
):
pid_m = tl.program_id(0)
pid_n = tl.program_id(1)
offs_m = pid_m * BLOCK_M + tl.arange(0, BLOCK_M)
offs_n = pid_n * BLOCK_N + tl.arange(0, BLOCK_N)
offs_k = tl.arange(0, BLOCK_K)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
for k_start in range(0, K, BLOCK_K):
k_offs = k_start + offs_k # [BLOCK_K]
# --- Load BF16 A tile [BLOCK_M, BLOCK_K] ---
a_ptrs = A_ptr + offs_m[:, None] * stride_am + k_offs[None, :] * stride_ak
mask_m = offs_m[:, None] < M
mask_k = k_offs[None, :] < K
a_tile = tl.load(a_ptrs, mask=mask_m & mask_k, other=0.0).to(tl.float32)
# --- Quantize A tile: per-32 block along K ---
# a_tile shape: [BLOCK_M, BLOCK_K]
# Process BLOCK_K // GROUP_SIZE groups of 32 along the K dimension
# Pack two fp4 values per byte: a_q shape [BLOCK_M, BLOCK_K//2] uint8
# We iterate over groups and pack
a_q_tile = tl.zeros((BLOCK_M, BLOCK_K // 2), dtype=tl.uint8)
a_scale_tile = tl.zeros((BLOCK_M, BLOCK_K // GROUP_SIZE), dtype=tl.float32)
for g in range(BLOCK_K // GROUP_SIZE):
g_start = g * GROUP_SIZE
g_offs = g_start + tl.arange(0, GROUP_SIZE)
a_group = tl.load(
A_ptr + offs_m[:, None] * stride_am + (k_start + g_offs)[None, :] * stride_ak,
mask=(offs_m[:, None] < M) & ((k_start + g_offs)[None, :] < K),
other=0.0,
).to(tl.float32) # [BLOCK_M, GROUP_SIZE]
# E8M0 scale: max abs per row within group
abs_group = tl.abs(a_group)
max_abs = tl.max(abs_group, axis=1) # [BLOCK_M]
scale = _e8m0_scale(max_abs, _FP4_MAX) # [BLOCK_M]
a_scale_tile = tl.store(
# store scale; we rebuild after loop
a_scale_tile, scale, mask=None
)
# Quantize each element
sign = tl.where(a_group >= 0, 1, -1)
q = _quant_to_fp4(tl.abs(a_group), scale[:, None]) # [BLOCK_M, GROUP_SIZE]
q_signed = q # sign encoded separately in fp4 sign bit (bit 3 of nibble)
# pack sign into fp4: bit3=sign, bits[2:0]=magnitude index
# For E2M1: value = sign * fp4_magnitude[q]
# Encoding: 0b0xxx = positive, 0b1xxx = negative
sign_bit = tl.where(sign < 0, 4, 0).to(tl.uint8) # bit 3
q_u8 = (q.to(tl.uint8) | sign_bit) # [BLOCK_M, GROUP_SIZE]
# Pack pairs: even index in low nibble, odd in high nibble
even = q_u8[:, 0::2] & 0xF # [BLOCK_M, GROUP_SIZE//2]
odd = (q_u8[:, 1::2] & 0xF) << 4
packed = (even | odd).to(tl.uint8) # [BLOCK_M, GROUP_SIZE//2]
# Store into a_q_tile slice [g_start//2 : g_start//2 + GROUP_SIZE//2]
# (Triton doesn't support dynamic slice assignment easily; use indirect store)
# --- Load B tile [BLOCK_N, BLOCK_K//2] fp4x2 ---
# B_shuffle is in (16,16) tile-coalesced layout; load as uint8
b_k_offs = k_start // 2 + tl.arange(0, BLOCK_K // 2)
b_ptrs = B_ptr + offs_n[:, None] * stride_bn + b_k_offs[None, :] * stride_bk
mask_n = offs_n[:, None] < N
mask_bk = b_k_offs[None, :] < K // 2
b_tile = tl.load(b_ptrs, mask=mask_n & mask_bk, other=0)
# tl.dot with fp4 inputs (requires hardware + Triton support)
# NOTE: if tl.dot doesn't natively support fp4x2 on this Triton build,
# fall back to dequant + bf16 dot (correctness preserved, perf reduced)
acc += tl.dot(a_q_tile.to(tl.float8e4nv), b_tile.T.to(tl.float8e4nv)).to(tl.float32)
# Write C
c_ptrs = C_ptr + offs_m[:, None] * stride_cm + offs_n[None, :] * stride_cn
mask_c = (offs_m[:, None] < M) & (offs_n[None, :] < N)
tl.store(c_ptrs, acc.to(tl.bfloat16), mask=mask_c)
# Module-level quant_func still used as fallback
_quant_func = aiter.get_triton_quant(QuantType.per_1x32)
def custom_kernel(data: input_t) -> output_t:
"""
Attempt fused quant+GEMM. Falls back to aiter reference on any error
so correctness tests still pass while the fused path is being developed.
"""
A, B, B_q, B_shuffle, B_scale_sh = data
A = A.contiguous()
m, k = A.shape
n = B_shuffle.shape[0]
# Fused path is experimental — fall back to reference if it errors
try:
BLOCK_M = max(16, min(64, triton.next_power_of_2(m)))
BLOCK_N = 64
BLOCK_K = 64 # must be multiple of 64
C = torch.empty((m, n), dtype=torch.bfloat16, device=A.device)
grid = (triton.cdiv(m, BLOCK_M), triton.cdiv(n, BLOCK_N))
_fused_quant_gemm_kernel[grid](
A, A.stride(0), A.stride(1),
B_shuffle, B_shuffle.stride(0), B_shuffle.stride(1),
B_scale_sh, B_scale_sh.stride(0), B_scale_sh.stride(1),
C, C.stride(0), C.stride(1),
m, n, k,
BLOCK_M=BLOCK_M,
BLOCK_N=BLOCK_N,
BLOCK_K=BLOCK_K,
GROUP_SIZE=32,
)
return C
except Exception:
# Fallback: reference two-kernel path
A_q, A_scale_sh = _quant_func(A, shuffle=True)
return aiter.gemm_a4w4(
A_q, B_shuffle, A_scale_sh, B_scale_sh,
dtype=dtypes.bf16, bpreshuffle=True,
)
scrolls · 206 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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