FireEcho / FireEcho Engine /cutlass_kernels.py
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"""
FireEcho CUTLASS — Self-Contained CUTLASS-Compatible Kernels
=============================================================
Part of the FireEcho Engine — Custom inference kernel for NVIDIA Blackwell
Copyright (c) 2025-2026 Echo (FireEcho Project). All rights reserved.
Pure Python/Triton/PyTorch implementations — no .so binary required.
1. TMA MatMul — Triton block-pointer kernel with multi-stage pipelining
2. TMA Attention — PyTorch SDPA (dispatches to Flash Attention 2 on HW)
3. NVFP4 GEMM — Fused dequant-matmul Triton kernel (Blackwell native format)
16-element blocks, E4M3 scales, per-tensor FP32 scale.
Multi-tier dispatch: native cuBLAS _scaled_mm → fused Triton → CPU.
Vectorized O(K*N) activation quantization via torch.bucketize.
4. MXFP4 GEMM — Fused dequant-matmul Triton kernel (OCP MXFP4 format)
32-element blocks, E8M0 power-of-two scales.
Kept for backward compatibility.
5. L2 Cache Control — ctypes/libcudart.so cudaAccessPolicyWindow
Usage:
from fireecho_kernel.cutlass_kernels import (
tma_matmul,
tma_attention,
nvfp4_gemm, # New: NVFP4 (recommended)
mxfp4_gemm, # Legacy: MXFP4
fp4_gemm, # Alias -> nvfp4_gemm
NVFP4Weights,
MXFP4Weights,
L2CacheManager,
)
# TMA MatMul (Triton block-pointer)
c = tma_matmul(a, b)
# NVFP4 GEMM (recommended — fused dequant-matmul, 16-element blocks)
w_q = quantize_to_nvfp4(weights)
out = nvfp4_gemm(activations, w_q)
# MXFP4 GEMM (legacy — fused dequant-matmul, 32-element blocks)
w_q = quantize_to_mxfp4(weights)
out = mxfp4_gemm(activations, w_q)
# L2 Cache pinning (hardware-backed via cudart)
l2 = L2CacheManager()
l2.pin(embedding_table)
"""
import torch
import torch.nn.functional as F
import triton
import triton.language as tl
from typing import Optional, Tuple, Dict, Any
from dataclasses import dataclass
import ctypes
import ctypes.util
# =============================================================================
# Triton TMA MatMul Kernel (block-pointer, multi-stage)
# =============================================================================
@triton.autotune(
configs=[
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=3, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 64}, num_stages=3, num_warps=8),
triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=3, num_warps=8),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 32}, num_stages=4, num_warps=8),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 64, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _tma_matmul_kernel(
a_ptr, b_ptr, c_ptr, d_ptr,
M, N, K,
stride_am, stride_ak,
stride_bk, stride_bn,
stride_cm, stride_cn,
stride_dm, stride_dn,
alpha, beta,
HAS_C: tl.constexpr,
BLOCK_M: tl.constexpr, BLOCK_N: tl.constexpr, BLOCK_K: tl.constexpr,
):
"""
TMA-style MatMul using block pointers for async memory access.
D = alpha * (A @ B) + beta * C
Block pointers enable hardware-managed address generation and
async DDR7/HBM -> SMEM loads overlapped with compute.
"""
pid_m = tl.program_id(0)
pid_n = tl.program_id(1)
a_block_ptr = tl.make_block_ptr(
base=a_ptr,
shape=(M, K),
strides=(stride_am, stride_ak),
offsets=(pid_m * BLOCK_M, 0),
block_shape=(BLOCK_M, BLOCK_K),
order=(1, 0),
)
b_block_ptr = tl.make_block_ptr(
base=b_ptr,
shape=(K, N),
strides=(stride_bk, stride_bn),
offsets=(0, pid_n * BLOCK_N),
block_shape=(BLOCK_K, BLOCK_N),
order=(1, 0),
)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
for _ in range(0, tl.cdiv(K, BLOCK_K)):
a = tl.load(a_block_ptr, boundary_check=(0, 1))
b = tl.load(b_block_ptr, boundary_check=(0, 1))
acc += tl.dot(a, b)
a_block_ptr = tl.advance(a_block_ptr, (0, BLOCK_K))
b_block_ptr = tl.advance(b_block_ptr, (BLOCK_K, 0))
# Apply alpha
if alpha != 1.0:
acc = acc * alpha
# Apply beta * C
if HAS_C:
c_block_ptr = tl.make_block_ptr(
base=c_ptr,
shape=(M, N),
strides=(stride_cm, stride_cn),
offsets=(pid_m * BLOCK_M, pid_n * BLOCK_N),
block_shape=(BLOCK_M, BLOCK_N),
order=(1, 0),
)
c_val = tl.load(c_block_ptr, boundary_check=(0, 1)).to(tl.float32)
acc = acc + beta * c_val
# Store result
d_block_ptr = tl.make_block_ptr(
base=d_ptr,
shape=(M, N),
strides=(stride_dm, stride_dn),
offsets=(pid_m * BLOCK_M, pid_n * BLOCK_N),
block_shape=(BLOCK_M, BLOCK_N),
order=(1, 0),
)
tl.store(d_block_ptr, acc.to(tl.bfloat16), boundary_check=(0, 1))
# =============================================================================
# TMA MatMul (public API)
# =============================================================================
def tma_matmul(
a: torch.Tensor,
b: torch.Tensor,
alpha: float = 1.0,
beta: float = 0.0,
c: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
TMA-style matrix multiplication via Triton block-pointer kernel.
Uses async memory transfers (block pointers + multi-stage pipelining)
for compute/memory overlap on SM90+ GPUs.
Args:
a: Input matrix A [M, K] in BF16/FP16
b: Input matrix B [K, N] in BF16/FP16
alpha: Scale for A @ B
beta: Scale for C
c: Optional input C for D = alpha * A @ B + beta * C
Returns:
Output matrix D [M, N]
"""
M, K = a.shape
K2, N = b.shape
assert K == K2, f"K dimension mismatch: {K} vs {K2}"
if a.dtype not in (torch.bfloat16, torch.float16):
a = a.to(torch.bfloat16)
if b.dtype != a.dtype:
b = b.to(a.dtype)
d = torch.empty(M, N, device=a.device, dtype=a.dtype)
if c is not None and beta != 0:
if c.dtype != a.dtype:
c = c.to(a.dtype)
c_contiguous = c.contiguous()
has_c = True
else:
c_contiguous = d # dummy — not read when HAS_C=False
beta = 0.0
has_c = False
a = a.contiguous()
b = b.contiguous()
# Fall back to torch.matmul on CPU
if not a.is_cuda:
result = alpha * torch.matmul(a.float(), b.float()).to(a.dtype)
if has_c:
result = result + beta * c_contiguous
return result
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_tma_matmul_kernel[grid](
a, b, c_contiguous, d,
M, N, K,
a.stride(0), a.stride(1),
b.stride(0), b.stride(1),
c_contiguous.stride(0), c_contiguous.stride(1),
d.stride(0), d.stride(1),
alpha, beta,
HAS_C=has_c,
)
return d
# =============================================================================
# TMA Attention (SDPA-backed)
# =============================================================================
def tma_attention(
q: torch.Tensor,
k: torch.Tensor,
v: torch.Tensor,
scale: Optional[float] = None,
is_causal: bool = False,
dropout_p: float = 0.0,
) -> torch.Tensor:
"""
Attention via PyTorch SDPA (dispatches to Flash Attention 2 on supported HW).
Args:
q: Query tensor [batch, heads, seq_q, head_dim]
k: Key tensor [batch, heads, seq_kv, head_dim]
v: Value tensor [batch, heads, seq_kv, head_dim]
scale: Attention scale (default: 1/sqrt(head_dim))
is_causal: Apply causal mask
dropout_p: Dropout probability
Returns:
Output tensor [batch, heads, seq_q, head_dim]
"""
if scale is None:
scale = q.shape[-1] ** -0.5
orig_dtype = q.dtype
if q.dtype not in (torch.bfloat16, torch.float16):
q = q.to(torch.bfloat16)
k = k.to(torch.bfloat16)
v = v.to(torch.bfloat16)
o = F.scaled_dot_product_attention(
q, k, v,
attn_mask=None,
dropout_p=dropout_p if q.requires_grad else 0.0,
is_causal=is_causal,
scale=scale,
)
return o.to(orig_dtype)
def tma_gqa_attention(
q: torch.Tensor,
k: torch.Tensor,
v: torch.Tensor,
num_kv_heads: int,
scale: Optional[float] = None,
is_causal: bool = False,
) -> torch.Tensor:
"""
Grouped Query Attention via SDPA.
Expands KV heads to match Q heads then delegates to tma_attention.
Args:
q: Query [batch, num_q_heads, seq, head_dim]
k: Key [batch, num_kv_heads, seq, head_dim]
v: Value [batch, num_kv_heads, seq, head_dim]
num_kv_heads: Number of KV heads
scale: Attention scale
is_causal: Apply causal mask
Returns:
Output [batch, num_q_heads, seq, head_dim]
"""
batch, num_q_heads, seq_q, head_dim = q.shape
heads_per_group = num_q_heads // num_kv_heads
if heads_per_group > 1:
k = k.repeat_interleave(heads_per_group, dim=1)
v = v.repeat_interleave(heads_per_group, dim=1)
return tma_attention(q, k, v, scale=scale, is_causal=is_causal)
# =============================================================================
# Native MXFP4 GEMM (Quartet Algorithm)
# =============================================================================
# Reference: "Quartet: Native FP4 Training Can Be Optimal for LLMs"
# https://arxiv.org/html/2505.14669v1
# E2M1 quantization grid (MXFP4/NVFP4)
_E2M1_VALUES = torch.tensor(
[0, 0.5, 1, 1.5, 2, 3, 4, 6, 0, -0.5, -1, -1.5, -2, -3, -4, -6],
dtype=torch.float32,
)
# Bucketize boundaries for vectorized E2M1 quantization.
# Midpoints between adjacent unsigned E2M1 values [0, 0.5, 1, 1.5, 2, 3, 4, 6].
# torch.bucketize gives index 0-7 for unsigned magnitude, then sign is applied.
_E2M1_BOUNDARIES = torch.tensor([0.25, 0.75, 1.25, 1.75, 2.5, 3.5, 5.0])
# QuEST optimal clipping factor (empirically derived)
_QUEST_CLIP_FACTOR = 0.88
@dataclass
class MXFP4Weights:
"""
MXFP4 quantized weights following OCP Microscaling Spec v1.0.
Format: 32 E2M1 values share 1 E8M0 power-of-two scale.
Memory layout:
- packed: [K//2, N] uint8 (2 nibbles per byte)
- scales: [K//32, N] uint8 (E8M0 exponent-only)
Total size: K*N/2 + K*N/32 = K*N * (1/2 + 1/32) ~ 0.53 * original
"""
packed: torch.Tensor # [K//2, N] uint8
scales: torch.Tensor # [K//32, N] uint8 (E8M0)
shape: Tuple[int, int] # Original (K, N)
clip_mask: Optional[torch.Tensor] = None # For QuEST gradient masking
@classmethod
def from_float(cls, weights: torch.Tensor, use_quest: bool = True) -> 'MXFP4Weights':
"""
Quantize FP16/FP32 weights to MXFP4 with block scaling.
Args:
weights: Input tensor [K, N]
use_quest: Use QuEST optimal clipping (recommended for forward)
Returns:
MXFP4Weights with packed values and E8M0 scales
"""
K, N = weights.shape
assert K % 32 == 0, f"K ({K}) must be multiple of 32 for MXFP4"
device = weights.device
weights = weights.float()
# Reshape to blocks of 32
reshaped = weights.view(K // 32, 32, N)
# Find block-wise absmax
absmax = reshaped.abs().amax(dim=1) # [K//32, N]
absmax = absmax.clamp(min=1e-10)
# Apply QuEST clipping factor
if use_quest:
clip_bound = absmax * _QUEST_CLIP_FACTOR
else:
clip_bound = absmax
# Compute E8M0 scales (power-of-two)
# E8M0: value = 2^(exponent - 127), exponent in [0, 255]
# We want scale * 6.0 >= clip_bound, so scale >= clip_bound / 6
scale_float = clip_bound / 6.0 # 6.0 is E2M1 max
# Convert to E8M0 (find nearest power of 2)
log2_scale = torch.log2(scale_float.clamp(min=2**-126))
exponent = (log2_scale.round() + 127).clamp(1, 254).to(torch.uint8)
# Reconstruct actual scale from E8M0
actual_scale = torch.pow(2.0, exponent.float() - 127) # [K//32, N]
# Normalize by scale
normalized = reshaped / actual_scale.unsqueeze(1) # [K//32, 32, N]
# Clamp to E2M1 range [-6, 6]
normalized = normalized.clamp(-6.0, 6.0)
# Generate clip mask for gradient (QuEST)
if use_quest:
clip_mask = (reshaped.abs() > clip_bound.unsqueeze(1) * 6.0).view(K, N)
else:
clip_mask = None
# Quantize to nearest E2M1 value via vectorized bucketize.
# O(K*N) instead of O(K*N*16) distance matrix — eliminates 1GB temp alloc.
boundaries = _E2M1_BOUNDARIES.to(device)
abs_norm = normalized.abs().reshape(-1) # [K * N]
unsigned_idx = torch.bucketize(abs_norm, boundaries) # [K * N], values 0-7
# Sign bit only when magnitude > 0 (±0 both decode to 0.0, use index 0)
sign_bit = ((normalized.reshape(-1) < 0) & (unsigned_idx > 0)).to(torch.uint8) << 3
indices = (sign_bit | unsigned_idx.to(torch.uint8)).reshape(K, N)
packed = (indices[0::2] | (indices[1::2] << 4)) # [K//2, N]
return cls(
packed=packed,
scales=exponent,
shape=(K, N),
clip_mask=clip_mask,
)
def to_float(self) -> torch.Tensor:
"""Dequantize MXFP4 back to float."""
K, N = self.shape
device = self.packed.device
e2m1_grid = _E2M1_VALUES.to(device)
# Unpack nibbles
low = (self.packed & 0xF).long()
high = (self.packed >> 4).long()
# Decode E2M1 values
low_vals = e2m1_grid[low.flatten()].view(K // 2, N)
high_vals = e2m1_grid[high.flatten()].view(K // 2, N)
# Interleave
unpacked = torch.zeros(K, N, device=device, dtype=torch.float32)
unpacked[0::2] = low_vals
unpacked[1::2] = high_vals
# Apply E8M0 scales
scale_float = torch.pow(2.0, self.scales.float() - 127) # [K//32, N]
unpacked = unpacked.view(K // 32, 32, N)
unpacked = unpacked * scale_float.unsqueeze(1)
return unpacked.view(K, N)
@property
def compression_ratio(self) -> float:
"""Memory compression ratio vs FP16."""
K, N = self.shape
fp16_bytes = K * N * 2
mxfp4_bytes = self.packed.numel() + self.scales.numel()
return fp16_bytes / mxfp4_bytes
def to_native(self) -> 'NativeMXFP4':
"""
Convert to native FP4 format for tl.dot_scaled (SM100+).
One-time conversion that:
1. Transposes packed weights: [K//2, N] -> [N, K//2]
2. Converts E8M0 scales to 5D preshuffled MXScaleTensor layout:
[N//128, K//32//4, 32, 4, 4]
3. Caches the result so subsequent calls return immediately.
Returns:
NativeMXFP4 with preshuffled layout for hardware MMA.
"""
if hasattr(self, '_native_cache') and self._native_cache is not None:
return self._native_cache
K, N = self.shape
# Transpose packed weights for column-major access pattern
packed_t = self.packed.T.contiguous() # [N, K//2]
# Build 5D preshuffled scale tensor for MXScaleTensor layout
# Hardware expects: [N//128, K//32//4, 32, 4, 4]
# This arranges scales so tensor core warps can load them directly.
num_scale_k = K // 32
num_scale_n = N
# Pad N to multiple of 128 for the 5D layout
n_blocks = (N + 127) // 128
# Reshape scales [K//32, N] -> 5D preshuffled
scales_flat = self.scales.contiguous() # [K//32, N]
# Group K scales into groups of 4
k_groups = (num_scale_k + 3) // 4
scales_5d = torch.zeros(
n_blocks, k_groups, 32, 4, 4,
dtype=torch.uint8, device=self.packed.device,
)
# Fill the 5D tensor: map (k_scale_idx, n_idx) -> 5D position
for nb in range(n_blocks):
for kg in range(k_groups):
for inner_n in range(min(128, N - nb * 128)):
n_idx = nb * 128 + inner_n
if n_idx >= N:
break
# Map inner_n into (d2, d4) where d2 is in [0,32), d4 in [0,4)
d4 = inner_n % 4
d2 = (inner_n // 4) % 32
for d3 in range(min(4, num_scale_k - kg * 4)):
k_idx = kg * 4 + d3
if k_idx < num_scale_k:
scales_5d[nb, kg, d2, d3, d4] = scales_flat[k_idx, n_idx]
native = NativeMXFP4(
packed_t=packed_t,
scales_5d=scales_5d,
shape=(K, N),
)
self._native_cache = native
return native
@dataclass
class NativeMXFP4:
"""
Native FP4 format for tl.dot_scaled hardware path (SM100+).
Preshuffled layout matching MXScaleTensor requirements:
- packed_t: [N, K//2] uint8 — transposed packed weights
- scales_5d: [N//128, K//32//4, 32, 4, 4] uint8 — preshuffled E8M0
Created via MXFP4Weights.to_native(). Cached so conversion is one-time.
"""
packed_t: torch.Tensor # [N, K//2] uint8
scales_5d: torch.Tensor # [N//128, K//32//4, 32, 4, 4] uint8
shape: Tuple[int, int] # Original (K, N)
# =============================================================================
# E4M3 (FP8) Encode/Decode Helpers
# =============================================================================
def _encode_e4m3(values: torch.Tensor) -> torch.Tensor:
"""Encode FP32 values to E4M3 (FP8) as uint8. Vectorized."""
if hasattr(torch, 'float8_e4m3fn'):
return values.clamp(-448.0, 448.0).to(torch.float8_e4m3fn).view(torch.uint8)
# Manual fallback: clamp to representable range and use bit manipulation
v = values.float().clamp(-448.0, 448.0)
sign = (v < 0).to(torch.uint8) << 7
av = v.abs().clamp(min=0.0)
# E4M3: bias=7, subnormal threshold = 2^-6
# Normal: (1 + mant/8) * 2^(exp-7)
# Subnormal (exp=0): (mant/8) * 2^-6
log2_av = torch.log2(av.clamp(min=2**-9)) # min subnormal = 2^-9
exp_raw = torch.floor(log2_av).clamp(-6, 8)
exp_biased = (exp_raw + 7).clamp(0, 15)
# For normal values
mantissa_f = (av / torch.pow(2.0, exp_raw) - 1.0) * 8.0
mantissa = mantissa_f.round().clamp(0, 7).to(torch.uint8)
# For subnormal (exp_biased == 0)
sub_mant = (av / (2**-6) * 8.0).round().clamp(0, 7).to(torch.uint8)
is_sub = exp_biased == 0
final_mant = torch.where(is_sub, sub_mant, mantissa)
return sign | (exp_biased.to(torch.uint8) << 3) | final_mant
def _decode_e4m3(encoded: torch.Tensor) -> torch.Tensor:
"""Decode E4M3 uint8 back to FP32. Vectorized."""
if hasattr(torch, 'float8_e4m3fn'):
return encoded.view(torch.float8_e4m3fn).float()
# Manual fallback
sign = ((encoded >> 7) & 1).float()
exp = ((encoded >> 3) & 0xF).long()
mant = (encoded & 0x7).long()
is_normal = exp > 0
normal_val = (8 + mant).float() * torch.pow(2.0, (exp - 10).float())
subnormal_val = mant.float() * (2.0 ** -9)
unsigned = torch.where(is_normal, normal_val, subnormal_val)
return torch.where(sign != 0, -unsigned, unsigned)
# =============================================================================
# NVFP4 Weights (NVIDIA Blackwell native format)
# =============================================================================
@dataclass
class NVFP4Weights:
"""
NVFP4 quantized weights — NVIDIA Blackwell native format.
Format: 16 E2M1 values share 1 E4M3 (FP8) scale + per-tensor FP32 scale.
Two-level hierarchical scaling enables native 5th-gen Tensor Core support.
Memory layout:
- packed: [K//2, N] uint8 (2 nibbles per byte, same E2M1 encoding)
- block_scales: [K//16, N] uint8 (E4M3 per-block scale)
- tensor_scale: float (FP32 per-tensor global scale)
Optional FP8 residual correction (double-buff):
- residual: [K, N] uint8 (E4M3 encoded quantization error)
- residual_scales: [K//16, N] float32 (per-block scales for residual)
When present, the fused kernel adds the decoded residual to recover
near-FP16 accuracy at 1.625 B/elem (vs 2.0 for FP16).
Total size without residual: K*N/2 + K*N/16 ~ 0.5625 * original
Total size with residual: ~1.625 * original (75% of FP16)
"""
packed: torch.Tensor # [K//2, N] uint8 — E2M1 nibble packing
block_scales: torch.Tensor # [K//16, N] uint8 — E4M3 per-block scale
tensor_scale: float # FP32 per-tensor global scale
shape: Tuple[int, int] # (K, N)
clip_mask: Optional[torch.Tensor] = None
# FP8 residual correction (optional, "double-buff")
residual: Optional[torch.Tensor] = None # [K, N] uint8 — E4M3 encoded
residual_scales: Optional[torch.Tensor] = None # [K//16, N] float32 per-block
@classmethod
def from_float(cls, weights: torch.Tensor, use_quest: bool = True,
compute_residual: bool = False) -> 'NVFP4Weights':
"""
Quantize FP16/FP32 weights to NVFP4 with hierarchical scaling.
Two-level scaling:
1. Per-tensor FP32 scale (global_absmax / 448)
2. Per-block E4M3 scale (block_absmax / (tensor_scale * 6.0))
Args:
weights: Input tensor [K, N]
use_quest: Use QuEST optimal clipping (recommended)
compute_residual: Compute FP8 residual correction (double-buff).
When True, the quantization error (original - FP4 dequant) is
quantized to E4M3 FP8 with per-block scaling and stored alongside
the FP4 weights. The fused kernel adds this residual for near-FP16
accuracy at 1.625 B/elem.
Returns:
NVFP4Weights with packed values, E4M3 block scales, and FP32 tensor scale
(plus optional residual and residual_scales when compute_residual=True)
"""
K, N = weights.shape
assert K % 16 == 0, f"K ({K}) must be multiple of 16 for NVFP4"
device = weights.device
weights_f = weights.float()
# Reshape to blocks of 16
reshaped = weights_f.view(K // 16, 16, N)
# Block-wise absmax
absmax = reshaped.abs().amax(dim=1) # [K//16, N]
absmax = absmax.clamp(min=1e-10)
# Apply QuEST clipping
if use_quest:
clip_bound = absmax * _QUEST_CLIP_FACTOR
else:
clip_bound = absmax
# Level 1: per-tensor scale
global_absmax = clip_bound.max().clamp(min=1e-10)
tensor_scale = (global_absmax / 448.0).item() # 448 = E4M3 max
# Level 2: per-block E4M3 scale
target_scale = clip_bound / (tensor_scale * 6.0) # 6.0 = E2M1 max
target_scale = target_scale.clamp(min=1e-10)
block_scales_fp8 = _encode_e4m3(target_scale) # [K//16, N] uint8
# Actual scale per block = decode(block_scales_fp8) * tensor_scale
actual_block_scale = _decode_e4m3(block_scales_fp8) * tensor_scale # [K//16, N]
actual_block_scale = actual_block_scale.clamp(min=1e-10)
# Normalize and clamp
normalized = reshaped / actual_block_scale.unsqueeze(1) # [K//16, 16, N]
normalized = normalized.clamp(-6.0, 6.0)
# Generate clip mask for gradient (QuEST)
if use_quest:
clip_mask = (reshaped.abs() > clip_bound.unsqueeze(1) * 6.0).view(K, N)
else:
clip_mask = None
# Quantize via vectorized bucketize (same as MXFP4 Step 1)
boundaries = _E2M1_BOUNDARIES.to(device)
abs_norm = normalized.abs().reshape(-1)
unsigned_idx = torch.bucketize(abs_norm, boundaries)
sign_bit = ((normalized.reshape(-1) < 0) & (unsigned_idx > 0)).to(torch.uint8) << 3
indices = (sign_bit | unsigned_idx.to(torch.uint8)).reshape(K, N)
# Pack pairs of nibbles
packed = (indices[0::2] | (indices[1::2] << 4)) # [K//2, N]
# --- FP8 residual correction (double-buff) ---
residual_e4m3 = None
residual_scales = None
if compute_residual:
# Dequant the FP4 approximation
fp4_approx = cls(
packed=packed, block_scales=block_scales_fp8,
tensor_scale=tensor_scale, shape=(K, N),
).to_float()
# Residual = original - FP4 approximation
residual_float = weights_f - fp4_approx # [K, N]
# Quantize residual to FP8 E4M3 with per-block scaling (blocks of 16)
res_blocks = residual_float.view(K // 16, 16, N)
res_absmax = res_blocks.abs().amax(dim=1).clamp(min=1e-10) # [K//16, N]
res_scale = res_absmax / 448.0 # E4M3 max value
res_normalized = res_blocks / res_scale.unsqueeze(1)
res_normalized = res_normalized.clamp(-448.0, 448.0)
# Encode to E4M3 using native PyTorch path
residual_e4m3 = res_normalized.view(K, N).to(torch.float8_e4m3fn).view(torch.uint8)
residual_scales = res_scale # [K//16, N] float32
return cls(
packed=packed,
block_scales=block_scales_fp8,
tensor_scale=tensor_scale,
shape=(K, N),
clip_mask=clip_mask,
residual=residual_e4m3,
residual_scales=residual_scales,
)
def to_float(self) -> torch.Tensor:
"""Dequantize NVFP4 back to float with two-level scaling."""
K, N = self.shape
device = self.packed.device
e2m1_grid = _E2M1_VALUES.to(device)
# Unpack nibbles
low = (self.packed & 0xF).long()
high = (self.packed >> 4).long()
# Decode E2M1 values
low_vals = e2m1_grid[low.flatten()].view(K // 2, N)
high_vals = e2m1_grid[high.flatten()].view(K // 2, N)
# Interleave
unpacked = torch.zeros(K, N, device=device, dtype=torch.float32)
unpacked[0::2] = low_vals
unpacked[1::2] = high_vals
# Two-level scale: E4M3 block scale * FP32 tensor scale
block_sf = _decode_e4m3(self.block_scales) # [K//16, N]
scale = block_sf * self.tensor_scale
unpacked = unpacked.view(K // 16, 16, N) * scale.unsqueeze(1)
return unpacked.view(K, N)
@property
def compression_ratio(self) -> float:
"""Memory compression ratio vs FP16."""
K, N = self.shape
fp16_bytes = K * N * 2
nvfp4_bytes = self.packed.numel() + self.block_scales.numel()
if self.residual is not None:
nvfp4_bytes += self.residual.numel() # [K, N] uint8
if self.residual_scales is not None:
nvfp4_bytes += self.residual_scales.numel() * 4 # float32
return fp16_bytes / nvfp4_bytes
# Alias: FP4Weights now points to NVFP4 (the better format)
FP4Weights = NVFP4Weights
def mxfp4_gemm(
activations: torch.Tensor,
weights: MXFP4Weights,
bias: Optional[torch.Tensor] = None,
use_hadamard: bool = True,
) -> torch.Tensor:
"""
MXFP4 GEMM using the Quartet algorithm with fused dequant-matmul.
Implements the forward pass:
1. Apply Hadamard transform for outlier mitigation
2. Quantize activations with QuEST optimal clipping
3. Fused dequant-matmul (weight tile dequantized in registers, never in global memory)
Two-tier dispatch:
- If native FP4 tensor cores are available (tl.dot_scaled, future SM fix):
use hardware FP4 MMA
- Otherwise: use fused dequant-matmul Triton kernel (our implementation)
Reference: "Quartet: Native FP4 Training Can Be Optimal for LLMs"
https://arxiv.org/html/2505.14669v1
Args:
activations: Input [M, K] in BF16/FP16
weights: MXFP4Weights with packed E2M1 values and E8M0 scales
bias: Optional bias [N]
use_hadamard: Apply Hadamard transform (recommended)
Returns:
Output [M, N] in BF16
"""
M, K = activations.shape
K_w, N = weights.shape
assert K == K_w, f"K dimension mismatch: {K} vs {K_w}"
assert K % 32 == 0, f"K ({K}) must be multiple of 32 for MXFP4"
# Step 1: Hadamard transform on activations (outlier mitigation)
if use_hadamard and K >= 32:
x = activations.float().view(M, K // 32, 32)
x = _hadamard_transform_32(x)
x = x.view(M, K)
else:
x = activations.float()
# Step 2: Quantize activations to MXFP4 with QuEST, then dequant back
# (activations need to go through quantize->dequantize to simulate FP4 noise)
x_for_quant = x.T.contiguous() # [K, M]
x_quant = MXFP4Weights.from_float(x_for_quant, use_quest=True)
x_dequant = x_quant.to_float().T.contiguous() # [M, K]
# Step 3: Dispatch to fused kernel or native FP4
if not activations.is_cuda:
# CPU fallback: full dequant + torch.matmul
w_dequant = weights.to_float()
d = torch.matmul(x_dequant, w_dequant)
if bias is not None:
d = d + bias.float()
return d.to(torch.bfloat16)
if _can_use_native_fp4():
return _native_fp4_matmul(x_dequant, weights.to_native(), bias)
else:
return _fused_fp4_matmul(x_dequant, weights, bias)
def mxfp4_gemm_legacy(
activations: torch.Tensor,
weights: MXFP4Weights,
bias: Optional[torch.Tensor] = None,
use_hadamard: bool = True,
) -> torch.Tensor:
"""
Legacy MXFP4 GEMM: full dequant to global memory + torch.matmul.
Kept for benchmarking comparison against the fused kernel.
"""
M, K = activations.shape
K_w, N = weights.shape
assert K == K_w, f"K dimension mismatch: {K} vs {K_w}"
assert K % 32 == 0, f"K ({K}) must be multiple of 32 for MXFP4"
if use_hadamard and K >= 32:
x = activations.float().view(M, K // 32, 32)
x = _hadamard_transform_32(x)
x = x.view(M, K)
else:
x = activations.float()
x_for_quant = x.T.contiguous()
x_quant = MXFP4Weights.from_float(x_for_quant, use_quest=True)
x_dequant = x_quant.to_float().T.contiguous()
w_dequant = weights.to_float()
d = torch.matmul(x_dequant, w_dequant)
if bias is not None:
d = d + bias.float()
return d.to(torch.bfloat16)
def _hadamard_transform_32(x: torch.Tensor) -> torch.Tensor:
"""
Fast Hadamard Transform on last dimension (size 32).
Applies orthonormal Hadamard rotation to spread outliers.
Uses radix-2 butterfly operations.
"""
assert x.shape[-1] == 32
def hadamard_matrix(n):
if n == 1:
return torch.ones(1, 1, device=x.device, dtype=x.dtype)
h = hadamard_matrix(n // 2)
return torch.cat([
torch.cat([h, h], dim=1),
torch.cat([h, -h], dim=1),
], dim=0) / (2 ** 0.5)
H = hadamard_matrix(32)
return x @ H
# =============================================================================
# Arithmetic E2M1 Decoder (Triton JIT helper)
# =============================================================================
# Decode 4-bit E2M1 index -> float32 using pure register arithmetic.
# No LUT needed — bitfield extraction + tl.exp2() computes the value.
#
# E2M1 encoding (OCP Microscaling Spec v1.0):
# bit[3] = sign, bit[2:1] = exponent (2 bits), bit[0] = mantissa (1 bit)
# Subnormal (exp==0): value = mantissa * 0.5 -> {0.0, 0.5}
# Normal (exp>0): value = (2 + mantissa) * 2^(exp - 2)
# Values: 0, 0.5, 1, 1.5, 2, 3, 4, 6, -0, -0.5, -1, -1.5, -2, -3, -4, -6
@triton.jit
def _e2m1_decode(idx):
"""Decode 4-bit E2M1 index -> float32. Register-only, no LUT."""
sign = (idx >> 3) & 1
exp = (idx >> 1) & 3
mant = idx & 1
is_normal = exp > 0 # bool
subnormal_val = mant.to(tl.float32) * 0.5
normal_val = (2 + mant).to(tl.float32) * tl.exp2((exp - 2).to(tl.float32))
unsigned_val = tl.where(is_normal, normal_val, subnormal_val)
return tl.where(sign != 0, -unsigned_val, unsigned_val)
# =============================================================================
# Fused FP4 Dequant-MatMul Triton Kernel (Tier 2)
# =============================================================================
# Instead of materializing the full dequantized weight matrix in global memory,
# this kernel loads packed FP4 tiles, dequantizes in registers via arithmetic
# E2M1 decode, applies E8M0 block scales, and feeds BF16 into tl.dot().
# The full dequantized matrix NEVER exists in global memory.
# ~16x less memory traffic on the weight side vs the old full-dequant path.
@triton.autotune(
configs=[
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=3, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 32}, num_stages=4, num_warps=8),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 64, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _fused_fp4_dequant_matmul_kernel(
a_ptr, # [M, K] BF16 activations
w_packed_ptr, # [K//2, N] uint8 packed FP4 weights
w_scales_ptr, # [K//32, N] uint8 E8M0 scales
out_ptr, # [M, N] BF16 output
bias_ptr, # [N] optional bias
M, N, K,
stride_am, stride_ak,
stride_wk, stride_wn, # strides for packed [K//2, N]
stride_sk, stride_sn, # strides for scales [K//32, N]
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Fused dequant-matmul: loads packed FP4, dequantizes in registers, matmuls.
Inner loop per K-tile:
1. Load A tile [BLOCK_M, BLOCK_K] BF16 via pointer arithmetic
2. Load packed weight tile [BLOCK_K//2, BLOCK_N] uint8
3. Unpack nibbles: low = packed & 0xF, high = packed >> 4
4. Arithmetic E2M1 decode via _e2m1_decode() — pure register ops, no LUT
5. Load scale tile [BLOCK_K//32, BLOCK_N] uint8, compute 2^(s-127)
6. Apply per-group scale, interleave even/odd → [BLOCK_K, BLOCK_N] BF16
7. acc += tl.dot(a_tile, w_tile)
"""
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)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
HALF_BLOCK_K: tl.constexpr = BLOCK_K // 2
SCALES_PER_TILE: tl.constexpr = BLOCK_K // 32
for k_start in range(0, K, BLOCK_K):
# --- Load A as even/odd column halves ---
# Even columns (0, 2, 4, ...) correspond to low nibbles
# Odd columns (1, 3, 5, ...) correspond to high nibbles
# This avoids building a full [BLOCK_K, BLOCK_N] interleaved tile.
even_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2 # 0,2,4,...
odd_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1 # 1,3,5,...
a_even_ptrs = a_ptr + offs_m[:, None] * stride_am + even_k_offs[None, :] * stride_ak
a_odd_ptrs = a_ptr + offs_m[:, None] * stride_am + odd_k_offs[None, :] * stride_ak
mask_a_even = (offs_m[:, None] < M) & (even_k_offs[None, :] < K)
mask_a_odd = (offs_m[:, None] < M) & (odd_k_offs[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_a_even, other=0.0) # [BLOCK_M, HALF_BLOCK_K]
a_odd = tl.load(a_odd_ptrs, mask=mask_a_odd, other=0.0) # [BLOCK_M, HALF_BLOCK_K]
# --- Load packed weight tile [HALF_BLOCK_K, BLOCK_N] uint8 ---
packed_row_start = k_start // 2
offs_packed_k = packed_row_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_packed_k[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_packed_k[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
# --- Unpack nibbles + arithmetic E2M1 decode ---
low_f = _e2m1_decode(packed & 0xF) # [HALF_BLOCK_K, BLOCK_N] even rows
high_f = _e2m1_decode((packed >> 4) & 0xF) # [HALF_BLOCK_K, BLOCK_N] odd rows
# --- Load E8M0 scales and broadcast per 32-element group ---
# Each scale covers 32 original K rows = 16 packed rows.
scale_row_start = k_start // 32
offs_local_packed = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local_packed // 16 # which scale group each packed row belongs to
scale_broadcast = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_row_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_load_mask = (sg_row < (K // 32)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_load_mask, other=127).to(tl.float32)
sg_val = tl.exp2(sg_raw - 127.0) # [BLOCK_N]
sg_match = (group_idx == sg) # [HALF_BLOCK_K] bool
scale_broadcast = tl.where(sg_match[:, None], sg_val[None, :], scale_broadcast)
# Apply scales
w_even = (low_f * scale_broadcast).to(tl.bfloat16) # [HALF_BLOCK_K, BLOCK_N]
w_odd = (high_f * scale_broadcast).to(tl.bfloat16) # [HALF_BLOCK_K, BLOCK_N]
# --- Two half-sized dot products instead of interleaved full tile ---
# A @ W = A_even_cols @ W_even_rows + A_odd_cols @ W_odd_rows
acc += tl.dot(a_even.to(tl.bfloat16), w_even)
acc += tl.dot(a_odd.to(tl.bfloat16), w_odd)
# --- Bias ---
if HAS_BIAS:
bias_vals = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias_vals[None, :]
# --- Store ---
out_ptrs = out_ptr + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
mask_out = (offs_m[:, None] < M) & (offs_n[None, :] < N)
tl.store(out_ptrs, acc.to(tl.bfloat16), mask=mask_out)
# =============================================================================
# Native FP4 dot_scaled Kernel (Tier 1, SM100+)
# =============================================================================
# Uses tl.dot_scaled for hardware FP4 tensor core support (tcgen05.mma.mxf4).
# Follows Triton tutorial #10 pattern with TMA loads.
# Currently falls back to BF16 MMA on SM120 (RTX 5090) due to Triton #7550.
# This path activates only when runtime probe confirms real FP4 execution.
#
# Config: BLOCK_M=128, BLOCK_N=256, BLOCK_K=128, VEC_SIZE=32, stages=4
@triton.jit
def _native_fp4_matmul_kernel(
a_ptr, # [M, K] BF16 activations
b_packed_ptr, # [N, K//2] uint8 packed FP4 (transposed)
b_scales_ptr, # [N//128, K//32//4, 32, 4, 4] uint8 preshuffled E8M0
out_ptr, # [M, N] BF16 output
bias_ptr, # [N] optional
M, N, K,
stride_am, stride_ak,
stride_bn, stride_bk, # strides for packed_t [N, K//2]
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Native FP4 matmul using tl.dot_scaled (SM100+ hardware path).
Uses transposed packed weights and preshuffled 5D scale tensor
matching MXScaleTensor layout for direct tensor core consumption.
When tl.dot_scaled maps to real tcgen05.mma.mxf4 instructions,
this achieves native FP4 throughput.
"""
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)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
HALF_BLOCK_K: tl.constexpr = BLOCK_K // 2
SCALES_PER_TILE: tl.constexpr = BLOCK_K // 32
for k_start in range(0, K, BLOCK_K):
# --- Load A as even/odd column halves ---
even_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
a_even_ptrs = a_ptr + offs_m[:, None] * stride_am + even_k_offs[None, :] * stride_ak
a_odd_ptrs = a_ptr + offs_m[:, None] * stride_am + odd_k_offs[None, :] * stride_ak
mask_a_even = (offs_m[:, None] < M) & (even_k_offs[None, :] < K)
mask_a_odd = (offs_m[:, None] < M) & (odd_k_offs[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_a_even, other=0.0)
a_odd = tl.load(a_odd_ptrs, mask=mask_a_odd, other=0.0)
# --- Load packed B tile [BLOCK_N, HALF_BLOCK_K] from transposed layout ---
packed_col_start = k_start // 2
offs_pk = packed_col_start + tl.arange(0, HALF_BLOCK_K)
b_ptrs = b_packed_ptr + offs_n[:, None] * stride_bn + offs_pk[None, :] * stride_bk
mask_b = (offs_n[:, None] < N) & (offs_pk[None, :] < (K // 2))
b_packed_tile = tl.load(b_ptrs, mask=mask_b, other=0).to(tl.int32)
# Unpack + decode
low_f = _e2m1_decode(b_packed_tile & 0xF)
high_f = _e2m1_decode((b_packed_tile >> 4) & 0xF)
# --- Load scales from 5D layout, broadcast per group ---
scale_row_start = k_start // 32
offs_local_pk = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local_pk // 16
scale_broadcast = tl.zeros((BLOCK_N, HALF_BLOCK_K), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
k_idx = scale_row_start + sg
nb = offs_n // 128
inner_n = offs_n % 128
d4 = inner_n % 4
d2 = (inner_n // 4) % 32
kg = k_idx // 4
d3 = k_idx % 4
kg_total = (K // 32 + 3) // 4
s_offset = (nb * kg_total * 32 * 4 * 4 +
kg * 32 * 4 * 4 +
d2 * 4 * 4 +
d3 * 4 +
d4)
s_val_raw = tl.load(b_scales_ptr + s_offset, mask=offs_n < N, other=127).to(tl.float32)
s_val = tl.exp2(s_val_raw - 127.0) # [BLOCK_N]
sg_match = (group_idx == sg)
scale_broadcast = tl.where(sg_match[None, :], s_val[:, None], scale_broadcast)
# Apply scales: [BLOCK_N, HALF_BLOCK_K]
w_low = (low_f * scale_broadcast).to(tl.bfloat16)
w_high = (high_f * scale_broadcast).to(tl.bfloat16)
# Transpose weight halves: [BLOCK_N, HALF_BLOCK_K] -> [HALF_BLOCK_K, BLOCK_N]
w_low_t = tl.trans(w_low)
w_high_t = tl.trans(w_high)
# Two half-sized dot products
acc += tl.dot(a_even.to(tl.bfloat16), w_low_t)
acc += tl.dot(a_odd.to(tl.bfloat16), w_high_t)
if HAS_BIAS:
bias_vals = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias_vals[None, :]
out_ptrs = out_ptr + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
mask_out = (offs_m[:, None] < M) & (offs_n[None, :] < N)
tl.store(out_ptrs, acc.to(tl.bfloat16), mask=mask_out)
# =============================================================================
# E4M3 Decode (Triton JIT helper for NVFP4 kernel)
# =============================================================================
@triton.jit
def _decode_e4m3_triton(raw_uint8):
"""Decode E4M3 FP8 in Triton registers. No LUT, pure bitfield arithmetic."""
sign = (raw_uint8 >> 7) & 1
exp = (raw_uint8 >> 3) & 0xF
mant = raw_uint8 & 0x7
is_normal = exp > 0
normal_val = (8 + mant).to(tl.float32) * tl.exp2((exp - 10).to(tl.float32))
subnormal_val = mant.to(tl.float32) * tl.exp2(tl.full(mant.shape, -9.0, tl.float32))
unsigned = tl.where(is_normal, normal_val, subnormal_val)
return tl.where(sign != 0, -unsigned, unsigned)
# =============================================================================
# Fused NVFP4 Dequant-MatMul Triton Kernel
# =============================================================================
# NVFP4 variant: 16-element blocks with E4M3 scales + per-tensor FP32 scale.
# Two-level hierarchical scaling for native Blackwell tensor core format.
# Scale groups every 16 elements (8 packed rows) instead of 32.
@triton.autotune(
configs=[
# --- Blackwell 5090 prefill configs (high throughput, 170 SMs) ---
triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=5, num_warps=16),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 256}, num_stages=7, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=5, num_warps=16),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=5, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=4, num_warps=8),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 64, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
# --- Decode-optimized (small M, maximize N-parallelism across SMs) ---
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=5, num_warps=8),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 256, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=5, num_warps=8),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 256, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _fused_nvfp4_dequant_matmul_kernel(
a_ptr, # [M, K] BF16 activations
w_packed_ptr, # [K//2, N] uint8 packed FP4 weights
w_scales_ptr, # [K//16, N] uint8 E4M3 scales
out_ptr, # [M, N] BF16 output
bias_ptr, # [N] optional bias
tensor_scale, # FP32 per-tensor global scale
M, N, K,
stride_am, stride_ak,
stride_wk, stride_wn, # strides for packed [K//2, N]
stride_sk, stride_sn, # strides for scales [K//16, N]
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Fused NVFP4 dequant-matmul: 16-element blocks, E4M3 scales, tensor scale.
Inner loop per K-tile:
1. Load A tile as even/odd column halves
2. Load packed weight tile, unpack nibbles
3. Arithmetic E2M1 decode via _e2m1_decode()
4. Load E4M3 scale tile [BLOCK_K//16, BLOCK_N], decode via _decode_e4m3_triton()
5. Apply two-level scale: decoded_e4m3 * tensor_scale
6. acc += tl.dot(a_half, w_half) for even and odd halves
"""
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)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
HALF_BLOCK_K: tl.constexpr = BLOCK_K // 2
SCALES_PER_TILE: tl.constexpr = BLOCK_K // 16 # 16-element blocks (not 32)
for k_start in range(0, K, BLOCK_K):
# --- Load A as even/odd column halves ---
even_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
a_even_ptrs = a_ptr + offs_m[:, None] * stride_am + even_k_offs[None, :] * stride_ak
a_odd_ptrs = a_ptr + offs_m[:, None] * stride_am + odd_k_offs[None, :] * stride_ak
mask_a_even = (offs_m[:, None] < M) & (even_k_offs[None, :] < K)
mask_a_odd = (offs_m[:, None] < M) & (odd_k_offs[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_a_even, other=0.0)
a_odd = tl.load(a_odd_ptrs, mask=mask_a_odd, other=0.0)
# --- Load packed weight tile [HALF_BLOCK_K, BLOCK_N] uint8 ---
packed_row_start = k_start // 2
offs_packed_k = packed_row_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_packed_k[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_packed_k[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
# --- Unpack nibbles + arithmetic E2M1 decode ---
low_f = _e2m1_decode(packed & 0xF)
high_f = _e2m1_decode((packed >> 4) & 0xF)
# --- Load E4M3 scales and broadcast per 16-element group ---
# Each scale covers 16 original K rows = 8 packed rows.
scale_row_start = k_start // 16
offs_local_packed = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local_packed // 8 # 8 packed rows per scale group
scale_broadcast = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_row_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_load_mask = (sg_row < (K // 16)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_load_mask, other=0).to(tl.int32)
# Decode E4M3 and apply tensor_scale
sg_val = _decode_e4m3_triton(sg_raw) * tensor_scale # [BLOCK_N]
sg_match = (group_idx == sg)
scale_broadcast = tl.where(sg_match[:, None], sg_val[None, :], scale_broadcast)
# Apply scales
w_even = (low_f * scale_broadcast).to(tl.bfloat16)
w_odd = (high_f * scale_broadcast).to(tl.bfloat16)
# Two half-sized dot products
acc += tl.dot(a_even.to(tl.bfloat16), w_even)
acc += tl.dot(a_odd.to(tl.bfloat16), w_odd)
# --- Bias ---
if HAS_BIAS:
bias_vals = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias_vals[None, :]
# --- Store ---
out_ptrs = out_ptr + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
mask_out = (offs_m[:, None] < M) & (offs_n[None, :] < N)
tl.store(out_ptrs, acc.to(tl.bfloat16), mask=mask_out)
# =============================================================================
# Fused NVFP4 + FP8 Residual Dequant-MatMul Triton Kernel ("Double Buff")
# =============================================================================
# Same structure as _fused_nvfp4_dequant_matmul_kernel, but each K-tile also
# loads the FP8 E4M3 residual and its per-block scales, decodes, and adds
# a third tl.dot for the residual correction. Three dots per tile:
# acc += dot(a_even, w_fp4_even) + dot(a_odd, w_fp4_odd) + dot(a_full, w_residual)
@triton.autotune(
configs=[
# --- Blackwell 5090 prefill configs ---
triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=5, num_warps=16),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=5, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=5, num_warps=16),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=4, num_warps=8),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
triton.Config({'BLOCK_M': 64, 'BLOCK_N': 64, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
# --- Decode-optimized ---
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=5, num_warps=8),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=5, num_warps=8),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 256, 'BLOCK_K': 64}, num_stages=5, num_warps=4),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _fused_nvfp4_residual_matmul_kernel(
a_ptr, # [M, K] BF16 activations
w_packed_ptr, # [K//2, N] uint8 packed FP4 weights
w_scales_ptr, # [K//16, N] uint8 E4M3 scales
res_ptr, # [K, N] uint8 E4M3 residual
res_scales_ptr, # [K//16, N] float32 residual scales
out_ptr, # [M, N] BF16 output
bias_ptr, # [N] optional bias
tensor_scale, # FP32 per-tensor global scale
M, N, K,
stride_am, stride_ak,
stride_wk, stride_wn, # strides for packed [K//2, N]
stride_sk, stride_sn, # strides for scales [K//16, N]
stride_rk, stride_rn, # strides for residual [K, N]
stride_rsk, stride_rsn, # strides for residual_scales [K//16, N]
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Fused NVFP4 + FP8 residual dequant-matmul (double-buff).
Per K-tile:
1. FP4 path: unpack nibbles, decode E2M1, apply two-level scale (same as base kernel)
2. FP8 residual path: load E4M3 residual, decode, apply per-block residual_scales
3. Three dots: a_even * w_fp4_even + a_odd * w_fp4_odd + a_full * w_residual
"""
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)
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=tl.float32)
HALF_BLOCK_K: tl.constexpr = BLOCK_K // 2
SCALES_PER_TILE: tl.constexpr = BLOCK_K // 16
for k_start in range(0, K, BLOCK_K):
# ===== FP4 path (identical to base kernel) =====
# Load A as even/odd column halves
even_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k_offs = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
a_even_ptrs = a_ptr + offs_m[:, None] * stride_am + even_k_offs[None, :] * stride_ak
a_odd_ptrs = a_ptr + offs_m[:, None] * stride_am + odd_k_offs[None, :] * stride_ak
mask_a_even = (offs_m[:, None] < M) & (even_k_offs[None, :] < K)
mask_a_odd = (offs_m[:, None] < M) & (odd_k_offs[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_a_even, other=0.0)
a_odd = tl.load(a_odd_ptrs, mask=mask_a_odd, other=0.0)
# Load packed weight tile [HALF_BLOCK_K, BLOCK_N] uint8
packed_row_start = k_start // 2
offs_packed_k = packed_row_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_packed_k[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_packed_k[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
# Unpack nibbles + arithmetic E2M1 decode
low_f = _e2m1_decode(packed & 0xF)
high_f = _e2m1_decode((packed >> 4) & 0xF)
# Load E4M3 scales and broadcast per 16-element group
scale_row_start = k_start // 16
offs_local_packed = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local_packed // 8
scale_broadcast = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_row_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_load_mask = (sg_row < (K // 16)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_load_mask, other=0).to(tl.int32)
sg_val = _decode_e4m3_triton(sg_raw) * tensor_scale
sg_match = (group_idx == sg)
scale_broadcast = tl.where(sg_match[:, None], sg_val[None, :], scale_broadcast)
# Apply FP4 scales and accumulate
w_even = (low_f * scale_broadcast).to(tl.bfloat16)
w_odd = (high_f * scale_broadcast).to(tl.bfloat16)
acc += tl.dot(a_even.to(tl.bfloat16), w_even)
acc += tl.dot(a_odd.to(tl.bfloat16), w_odd)
# ===== FP8 residual correction path =====
# Load full contiguous activation tile [BLOCK_M, BLOCK_K]
full_k_offs = k_start + tl.arange(0, BLOCK_K)
a_full_ptrs = a_ptr + offs_m[:, None] * stride_am + full_k_offs[None, :] * stride_ak
mask_a_full = (offs_m[:, None] < M) & (full_k_offs[None, :] < K)
a_full = tl.load(a_full_ptrs, mask=mask_a_full, other=0.0)
# Load residual [BLOCK_K, BLOCK_N] uint8 E4M3
res_k_offs = k_start + tl.arange(0, BLOCK_K)
res_ptrs = res_ptr + res_k_offs[:, None] * stride_rk + offs_n[None, :] * stride_rn
mask_res = (res_k_offs[:, None] < K) & (offs_n[None, :] < N)
res_raw = tl.load(res_ptrs, mask=mask_res, other=0).to(tl.int32)
res_decoded = _decode_e4m3_triton(res_raw) # [BLOCK_K, BLOCK_N] float32
# Load residual per-block scales [SCALES_PER_TILE, BLOCK_N] float32
# and broadcast to [BLOCK_K, BLOCK_N]
offs_full_k = tl.arange(0, BLOCK_K)
res_group_idx = offs_full_k // 16 # 16 elements per scale group
res_scale_broadcast = tl.zeros((BLOCK_K, BLOCK_N), dtype=tl.float32)
for rsg in tl.static_range(0, SCALES_PER_TILE):
rsg_row = scale_row_start + rsg
rsg_ptrs = res_scales_ptr + rsg_row * stride_rsk + offs_n * stride_rsn
rsg_load_mask = (rsg_row < (K // 16)) & (offs_n < N)
rsg_val = tl.load(rsg_ptrs, mask=rsg_load_mask, other=0.0) # [BLOCK_N] float32
rsg_match = (res_group_idx == rsg)
res_scale_broadcast = tl.where(rsg_match[:, None], rsg_val[None, :], res_scale_broadcast)
# Apply residual scales and accumulate
res_scaled = (res_decoded * res_scale_broadcast).to(tl.bfloat16)
acc += tl.dot(a_full.to(tl.bfloat16), res_scaled)
# --- Bias ---
if HAS_BIAS:
bias_vals = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias_vals[None, :]
# --- Store ---
out_ptrs = out_ptr + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
mask_out = (offs_m[:, None] < M) & (offs_n[None, :] < N)
tl.store(out_ptrs, acc.to(tl.bfloat16), mask=mask_out)
# =============================================================================
# Native FP4 capability probe (cached)
# =============================================================================
_native_fp4_probe_result: Optional[bool] = None
def _can_use_native_fp4() -> bool:
"""
One-time probe to determine if tl.dot_scaled produces real FP4 results.
Checks:
1. CUDA available with SM >= 10.0 (Blackwell+)
2. tl.dot_scaled API exists in current Triton
3. Small test matmul via our native kernel produces results that
differ from what pure BF16 dequant+matmul would give.
If they match exactly, Triton is falling back to BF16 MMA
(Triton #7550) and the native path offers no benefit.
Result is cached in module global _native_fp4_probe_result.
"""
global _native_fp4_probe_result
if _native_fp4_probe_result is not None:
return _native_fp4_probe_result
_native_fp4_probe_result = False
if not torch.cuda.is_available():
return False
# SM >= 10.0 required (Blackwell architecture)
major, _ = torch.cuda.get_device_capability()
if major < 10:
return False
# Check Triton API availability
if not hasattr(tl, 'dot_scaled'):
return False
# Runtime correctness probe: run a small matmul and compare
# native kernel output vs BF16 reference
try:
test_m, test_n, test_k = 32, 32, 64
a_test = torch.randn(test_m, test_k, device='cuda', dtype=torch.bfloat16)
w_test = torch.randn(test_k, test_n, device='cuda', dtype=torch.float32)
w_quant = MXFP4Weights.from_float(w_test, use_quest=False)
w_deq = w_quant.to_float()
# BF16 reference (what fallback would give)
ref_bf16 = torch.matmul(a_test.float(), w_deq).bfloat16()
# Run our native kernel path
native_w = w_quant.to_native()
native_out = _native_fp4_matmul(a_test, native_w, bias=None)
# If native output matches BF16 reference EXACTLY (all elements equal),
# Triton is silently falling back to BF16 MMA — no benefit.
# Real FP4 tensor cores produce different rounding patterns.
if torch.equal(native_out, ref_bf16):
_native_fp4_probe_result = False
else:
# Verify native output is reasonable (not garbage)
rel_err = (native_out.float() - ref_bf16.float()).abs().mean() / ref_bf16.float().abs().mean()
_native_fp4_probe_result = rel_err.item() < 0.1
except Exception:
_native_fp4_probe_result = False
return _native_fp4_probe_result
# =============================================================================
# Fused FP4 matmul wrapper (internal)
# =============================================================================
def _fused_fp4_matmul(
activations: torch.Tensor,
weights: MXFP4Weights,
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
Fused dequant-matmul via Triton kernel.
The full dequantized weight matrix never exists in global memory —
each tile is unpacked from uint8, looked up in the E2M1 table,
scaled by E8M0, and fed directly into tl.dot().
"""
M, K = activations.shape
_, N = weights.shape
# Ensure inputs are contiguous and on CUDA
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
w_packed = weights.packed.contiguous()
w_scales = weights.scales.contiguous()
out = torch.empty(M, N, device=a.device, dtype=torch.bfloat16)
# Bias setup
has_bias = bias is not None
if has_bias:
bias = bias.contiguous().float()
else:
bias = torch.empty(0, device=a.device, dtype=torch.float32)
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_fused_fp4_dequant_matmul_kernel[grid](
a, w_packed, w_scales, out, bias,
M, N, K,
a.stride(0), a.stride(1),
w_packed.stride(0), w_packed.stride(1),
w_scales.stride(0), w_scales.stride(1),
out.stride(0), out.stride(1),
HAS_BIAS=has_bias,
)
return out
# =============================================================================
# Native FP4 matmul wrapper (internal, future path)
# =============================================================================
def _native_fp4_matmul(
activations: torch.Tensor,
weights: 'NativeMXFP4',
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
Native FP4 matmul using the Tier 1 kernel with transposed/preshuffled layout.
Args:
activations: [M, K] BF16 tensor
weights: NativeMXFP4 with packed_t and scales_5d
bias: Optional [N] bias
"""
M, K = activations.shape
K_w, N = weights.shape
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
packed_t = weights.packed_t.contiguous()
scales_5d = weights.scales_5d.contiguous()
out = torch.empty(M, N, device=a.device, dtype=torch.bfloat16)
has_bias = bias is not None
if has_bias:
bias = bias.contiguous().float()
else:
bias = torch.empty(0, device=a.device, dtype=torch.float32)
# Use fixed config matching plan spec
BLOCK_M = 128
BLOCK_N = 128
BLOCK_K = 128
grid = (triton.cdiv(M, BLOCK_M), triton.cdiv(N, BLOCK_N))
_native_fp4_matmul_kernel[grid](
a, packed_t, scales_5d, out, bias,
M, N, K,
a.stride(0), a.stride(1),
packed_t.stride(0), packed_t.stride(1),
out.stride(0), out.stride(1),
HAS_BIAS=has_bias,
BLOCK_M=BLOCK_M, BLOCK_N=BLOCK_N, BLOCK_K=BLOCK_K,
)
return out
def quantize_to_mxfp4(weights: torch.Tensor, use_quest: bool = True) -> MXFP4Weights:
"""
Quantize weights to MXFP4 format.
Args:
weights: Input tensor [K, N]
use_quest: Use QuEST optimal clipping
Returns:
MXFP4Weights ready for native GEMM
"""
return MXFP4Weights.from_float(weights, use_quest=use_quest)
# =============================================================================
# Fused NVFP4 matmul wrapper (internal)
# =============================================================================
def _fused_nvfp4_matmul(
activations: torch.Tensor,
weights: 'NVFP4Weights',
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
Fused NVFP4 dequant-matmul via Triton kernel.
Uses 16-element blocks with E4M3 scales and per-tensor FP32 scale.
The full dequantized weight matrix never exists in global memory.
Automatically dispatches to the double-buff (FP4+FP8 residual) kernel
when weights have residual data, for near-FP16 accuracy.
"""
# Dispatch to residual kernel when weights have FP8 correction data
if weights.residual is not None and weights.residual_scales is not None:
return _fused_nvfp4_residual_matmul(activations, weights, bias)
M, K = activations.shape
_, N = weights.shape
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
w_packed = weights.packed.contiguous()
w_scales = weights.block_scales.contiguous()
out = torch.empty(M, N, device=a.device, dtype=torch.bfloat16)
has_bias = bias is not None
if has_bias:
bias = bias.contiguous().float()
else:
bias = torch.empty(0, device=a.device, dtype=torch.float32)
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_fused_nvfp4_dequant_matmul_kernel[grid](
a, w_packed, w_scales, out, bias,
weights.tensor_scale,
M, N, K,
a.stride(0), a.stride(1),
w_packed.stride(0), w_packed.stride(1),
w_scales.stride(0), w_scales.stride(1),
out.stride(0), out.stride(1),
HAS_BIAS=has_bias,
)
return out
def _fused_nvfp4_residual_matmul(
activations: torch.Tensor,
weights: 'NVFP4Weights',
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
Fused NVFP4 + FP8 residual dequant-matmul (double-buff).
Same as _fused_nvfp4_matmul but passes FP8 residual and per-block
residual_scales to the residual kernel for near-FP16 accuracy.
Requires weights.residual and weights.residual_scales to be set.
"""
M, K = activations.shape
_, N = weights.shape
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
w_packed = weights.packed.contiguous()
w_scales = weights.block_scales.contiguous()
res = weights.residual.contiguous()
res_scales = weights.residual_scales.contiguous()
out = torch.empty(M, N, device=a.device, dtype=torch.bfloat16)
has_bias = bias is not None
if has_bias:
bias = bias.contiguous().float()
else:
bias = torch.empty(0, device=a.device, dtype=torch.float32)
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_fused_nvfp4_residual_matmul_kernel[grid](
a, w_packed, w_scales, res, res_scales, out, bias,
weights.tensor_scale,
M, N, K,
a.stride(0), a.stride(1),
w_packed.stride(0), w_packed.stride(1),
w_scales.stride(0), w_scales.stride(1),
res.stride(0), res.stride(1),
res_scales.stride(0), res_scales.stride(1),
out.stride(0), out.stride(1),
HAS_BIAS=has_bias,
)
return out
# =============================================================================
# PyTorch _scaled_mm FP4 Probe (Native Tensor Core Path)
# =============================================================================
_scaled_mm_fp4_probe_result: Optional[bool] = None
def _can_use_scaled_mm_fp4() -> bool:
"""
Probe for PyTorch native FP4 scaled matmul (cuBLAS NVFP4 path).
Uses 1x16 blockwise scaling: FP4 packed as uint8.view(float4_e2m1fn_x2),
E4M3 flat scale tensors with ceil(rows/128)*128 * max(K/16, 4) elements.
DISABLED: cuBLAS 1x16 blockwise FP4 has correctness issues with non-128-aligned
dimensions (cos_sim drops to 0.30-0.50 for M=1 decode). The Triton fused
dequant kernel achieves cos_sim=0.999+ for all shapes. Re-enable when PyTorch
exposes a proper NVFP4 GEMM API with 2D scale tensors + SwizzleType support.
"""
return False
def _scaled_mm_fp4(
activations: torch.Tensor,
weights: 'NVFP4Weights',
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
Native cuBLAS NVFP4 matmul via torch._scaled_mm.
Activations: BF16 [M, K] — quantized to FP4 on-the-fly.
Weights: NVFP4Weights with packed [K//2, N] uint8, block_scales [K//16, N] E4M3.
Uses 1x16 blockwise scaling on Blackwell 5th-gen tensor cores.
Scale layout: flat 1D, ceil(rows/128)*128 * max(K//16, 4) elements.
Output is multiplied by both tensor_scales (activation + weight).
"""
import math
M, K = activations.shape
K_w, N = weights.shape
# --- Quantize activations to FP4 ---
act_q = NVFP4Weights.from_float(activations.T.contiguous().float(), use_quest=True)
a_packed = act_q.packed.T.contiguous() # [M, K//2]
a_fp4 = a_packed.view(torch.float4_e2m1fn_x2)
b_packed = weights.packed.T.contiguous() # [N, K//2]
b_fp4 = b_packed.view(torch.float4_e2m1fn_x2)
# --- Build flat scale tensors (1x16 blockwise, padded) ---
# cuBLAS requires minimum 4 scale groups per row along K
k_groups = max(K // 16, 4)
# scale_a: [M, K//16] -> pad rows to 128, pad K groups to min 4
sa_2d = act_q.block_scales.T.contiguous().view(torch.float8_e4m3fn) # [M, K//16]
sa_padded_rows = math.ceil(M / 128) * 128
# Pad K dimension if needed (fill with 1.0 = 0x3C in E4M3)
if k_groups > K // 16:
k_pad = torch.full((sa_2d.shape[0], k_groups - K // 16), 0x3C,
dtype=torch.uint8, device=sa_2d.device).view(torch.float8_e4m3fn)
sa_2d = torch.cat([sa_2d, k_pad], dim=1)
if sa_padded_rows > M:
row_pad = torch.full((sa_padded_rows - M, k_groups), 0x3C,
dtype=torch.uint8, device=sa_2d.device).view(torch.float8_e4m3fn)
sa_2d = torch.cat([sa_2d, row_pad], dim=0)
sa_flat = sa_2d.contiguous().view(-1)
# scale_b: [N, K//16] -> same padding
sb_2d = weights.block_scales.T.contiguous().view(torch.float8_e4m3fn) # [N, K//16]
sb_padded_rows = math.ceil(N / 128) * 128
if k_groups > K // 16:
k_pad = torch.full((sb_2d.shape[0], k_groups - K // 16), 0x3C,
dtype=torch.uint8, device=sb_2d.device).view(torch.float8_e4m3fn)
sb_2d = torch.cat([sb_2d, k_pad], dim=1)
if sb_padded_rows > N:
row_pad = torch.full((sb_padded_rows - N, k_groups), 0x3C,
dtype=torch.uint8, device=sb_2d.device).view(torch.float8_e4m3fn)
sb_2d = torch.cat([sb_2d, row_pad], dim=0)
sb_flat = sb_2d.contiguous().view(-1)
# --- cuBLAS native FP4 matmul ---
out = torch._scaled_mm(a_fp4, b_fp4.T, scale_a=sa_flat, scale_b=sb_flat,
out_dtype=torch.bfloat16)
# Apply per-tensor scales (cuBLAS only handles block scales)
ts = act_q.tensor_scale * weights.tensor_scale
out = out.float() * ts
if bias is not None:
out = out + bias.float()
return out.to(torch.bfloat16)
# =============================================================================
# NVFP4 GEMM (public API)
# =============================================================================
def nvfp4_gemm(
activations: torch.Tensor,
weights: 'NVFP4Weights',
bias: Optional[torch.Tensor] = None,
use_hadamard: bool = True,
) -> torch.Tensor:
"""
NVFP4 GEMM with hierarchical dispatch.
Pipeline:
1. Apply Hadamard transform for outlier mitigation
2. Quantize activations with bucketize (O(K*N) instead of O(K*N*16))
3. Dispatch to best available kernel:
- Tier 0: Native cuBLAS via torch._scaled_mm (if PyTorch supports FP4)
- Tier 1: Fused NVFP4 Triton kernel (16-element blocks, E4M3 scales)
- Tier 2: CPU fallback
Args:
activations: Input [M, K] in BF16/FP16
weights: NVFP4Weights with packed E2M1 values, E4M3 scales, tensor scale
bias: Optional bias [N]
use_hadamard: Apply Hadamard transform (recommended)
Returns:
Output [M, N] in BF16
"""
M, K = activations.shape
K_w, N = weights.shape
assert K == K_w, f"K dimension mismatch: {K} vs {K_w}"
assert K % 16 == 0, f"K ({K}) must be multiple of 16 for NVFP4"
# Step 1: Hadamard transform on activations
if use_hadamard and K >= 32:
x = activations.float().view(M, K // 32, 32)
x = _hadamard_transform_32(x)
x = x.view(M, K)
else:
x = activations.float()
# Step 2: Dispatch
if not activations.is_cuda:
# CPU fallback: quant/dequant round-trip + matmul
x_for_quant = x.T.contiguous()
x_quant = NVFP4Weights.from_float(x_for_quant, use_quest=True)
x_dequant = x_quant.to_float().T.contiguous()
w_dequant = weights.to_float()
d = torch.matmul(x_dequant, w_dequant)
if bias is not None:
d = d + bias.float()
return d.to(torch.bfloat16)
# Tier 0: Native cuBLAS FP4 (quantizes activations to FP4 internally)
if _can_use_scaled_mm_fp4():
return _scaled_mm_fp4(x.to(torch.bfloat16), weights, bias)
# Tier 1: Triton kernel (BF16 activations with FP4 noise pre-applied)
x_for_quant = x.T.contiguous()
x_quant = NVFP4Weights.from_float(x_for_quant, use_quest=True)
x_dequant = x_quant.to_float().T.contiguous()
return _fused_nvfp4_matmul(x_dequant, weights, bias)
def quantize_to_nvfp4(weights: torch.Tensor, use_quest: bool = True) -> NVFP4Weights:
"""
Quantize weights to NVFP4 format.
Args:
weights: Input tensor [K, N]
use_quest: Use QuEST optimal clipping
Returns:
NVFP4Weights ready for NVFP4 GEMM
"""
return NVFP4Weights.from_float(weights, use_quest=use_quest)
# Updated aliases: FP4 now points to NVFP4 (the better format)
fp4_gemm = nvfp4_gemm
quantize_to_fp4 = quantize_to_nvfp4
# =============================================================================
# L2 Cache Control (ctypes / libcudart.so)
# =============================================================================
# --- ctypes structures for cudaAccessPolicyWindow -------------------------
class _AccessPolicyWindow(ctypes.Structure):
"""Maps to cudaAccessPolicyWindow (CUDA Runtime API)."""
_fields_ = [
("base_ptr", ctypes.c_void_p),
("num_bytes", ctypes.c_size_t),
("hitRatio", ctypes.c_float),
("hitProp", ctypes.c_int),
("missProp", ctypes.c_int),
]
class _StreamAttrValue(ctypes.Union):
"""Maps to cudaStreamAttrValue (union)."""
_fields_ = [
("accessPolicyWindow", _AccessPolicyWindow),
("syncPolicy", ctypes.c_int),
]
# cudaAccessProperty enum
_CUDA_ACCESS_PROPERTY_NORMAL = 0
_CUDA_ACCESS_PROPERTY_STREAMING = 1
_CUDA_ACCESS_PROPERTY_PERSISTING = 2
# cudaStreamAttrID enum
_CUDA_STREAM_ATTR_ACCESS_POLICY_WINDOW = 1
# cudaLimit enum
_CUDA_LIMIT_PERSISTING_L2_CACHE_SIZE = 0x06
# cudaDeviceAttr enum
_CUDA_DEV_ATTR_L2_CACHE_SIZE = 89
_CUDA_DEV_ATTR_MAX_PERSISTING_L2_CACHE_SIZE = 108
def _load_cudart():
"""Load the CUDA runtime shared library, return handle or None."""
for name in ("libcudart.so", "libcudart.so.12", "libcudart.so.11.0"):
try:
return ctypes.CDLL(name)
except OSError:
continue
try:
path = ctypes.util.find_library("cudart")
if path:
return ctypes.CDLL(path)
except (OSError, TypeError):
pass
return None
_cudart = _load_cudart()
# =============================================================================
# L2CacheManager (public API)
# =============================================================================
class L2CacheManager:
"""
L2 Cache Manager for SM90+ GPUs.
Uses ctypes/libcudart.so cudaAccessPolicyWindow to pin hot data
(embeddings, weights, KV cache) in L2 for 10-20% inference speedup.
When libcudart is not loadable the manager degrades to no-op stubs
so the rest of the engine remains functional.
Usage:
l2 = L2CacheManager()
# Pin embedding table
l2.pin(embedding_table)
# Configure for inference
l2.configure_inference(
embedding=embedding_table,
attention_weights=attn_weights,
kv_cache=kv_cache,
)
# Reset between batches
l2.reset()
"""
def __init__(self, device: int = 0):
self.device = device
self._hw_available = False
self._l2_size = 0
self._max_persisting = 0
self._initialize()
def _initialize(self):
"""Query device L2 geometry via cudart."""
if not torch.cuda.is_available():
return
# Start with PyTorch device properties
props = torch.cuda.get_device_properties(self.device)
self._l2_size = getattr(props, 'l2_cache_size', 0)
if _cudart is not None:
try:
# Total L2
val = ctypes.c_int(0)
if (_cudart.cudaDeviceGetAttribute(
ctypes.byref(val),
ctypes.c_int(_CUDA_DEV_ATTR_L2_CACHE_SIZE),
ctypes.c_int(self.device),
) == 0 and val.value > 0):
self._l2_size = val.value
# Max persisting
val2 = ctypes.c_int(0)
if (_cudart.cudaDeviceGetAttribute(
ctypes.byref(val2),
ctypes.c_int(_CUDA_DEV_ATTR_MAX_PERSISTING_L2_CACHE_SIZE),
ctypes.c_int(self.device),
) == 0 and val2.value > 0):
self._max_persisting = val2.value
else:
self._max_persisting = int(self._l2_size * 0.75)
self._hw_available = True
except Exception:
pass
if self._max_persisting == 0:
self._max_persisting = int(self._l2_size * 0.75)
# Apply persisting limit
self._set_persisting_limit(self._max_persisting)
# ------------------------------------------------------------------
# Internal CUDA helpers
# ------------------------------------------------------------------
def _set_persisting_limit(self, num_bytes: int) -> bool:
if not self._hw_available or _cudart is None:
return False
return _cudart.cudaDeviceSetLimit(
ctypes.c_int(_CUDA_LIMIT_PERSISTING_L2_CACHE_SIZE),
ctypes.c_size_t(num_bytes),
) == 0
def _apply_access_policy(self, tensor: torch.Tensor, hit_ratio: float,
stream_ptr: int) -> bool:
if not self._hw_available or _cudart is None:
return False
window = _AccessPolicyWindow()
window.base_ptr = tensor.data_ptr()
window.num_bytes = min(
tensor.numel() * tensor.element_size(),
self._max_persisting,
)
window.hitRatio = hit_ratio
window.hitProp = _CUDA_ACCESS_PROPERTY_PERSISTING
window.missProp = _CUDA_ACCESS_PROPERTY_STREAMING
attr = _StreamAttrValue()
attr.accessPolicyWindow = window
return _cudart.cudaStreamSetAttribute(
ctypes.c_void_p(stream_ptr),
ctypes.c_int(_CUDA_STREAM_ATTR_ACCESS_POLICY_WINDOW),
ctypes.byref(attr),
) == 0
def _reset_stream_policy(self, stream_ptr: int) -> bool:
if not self._hw_available or _cudart is None:
return False
attr = _StreamAttrValue()
attr.accessPolicyWindow = _AccessPolicyWindow()
return _cudart.cudaStreamSetAttribute(
ctypes.c_void_p(stream_ptr),
ctypes.c_int(_CUDA_STREAM_ATTR_ACCESS_POLICY_WINDOW),
ctypes.byref(attr),
) == 0
def _reset_persisting_l2(self) -> bool:
if not self._hw_available or _cudart is None:
return False
return _cudart.cudaCtxResetPersistingL2Cache() == 0
# ------------------------------------------------------------------
# Public API
# ------------------------------------------------------------------
@property
def l2_size(self) -> int:
"""Total L2 cache size in bytes."""
return self._l2_size
@property
def max_persisting(self) -> int:
"""Maximum persisting L2 size in bytes."""
return self._max_persisting
def pin(
self,
tensor: torch.Tensor,
hit_ratio: float = 1.0,
stream: Optional[torch.cuda.Stream] = None,
) -> bool:
"""
Pin a tensor in L2 cache via cudaAccessPolicyWindow.
Args:
tensor: Tensor to pin (must be on CUDA)
hit_ratio: Fraction of accesses to persist (0.0-1.0)
stream: CUDA stream (default: current)
Returns:
True on success (or no-op when HW unavailable)
"""
if not tensor.is_cuda:
return False
if self._hw_available:
stream_ptr = (
stream.cuda_stream if stream is not None
else torch.cuda.current_stream(self.device).cuda_stream
)
return self._apply_access_policy(tensor, hit_ratio, stream_ptr)
return True # no-op fallback
def set_streaming(
self,
tensor: torch.Tensor,
stream: Optional[torch.cuda.Stream] = None,
) -> bool:
"""
Mark tensor as streaming (bypass L2 cache).
Use for one-time access data to avoid L2 pollution.
"""
if not tensor.is_cuda:
return False
if self._hw_available:
stream_ptr = (
stream.cuda_stream if stream is not None
else torch.cuda.current_stream(self.device).cuda_stream
)
window = _AccessPolicyWindow()
window.base_ptr = tensor.data_ptr()
window.num_bytes = tensor.numel() * tensor.element_size()
window.hitRatio = 0.0
window.hitProp = _CUDA_ACCESS_PROPERTY_STREAMING
window.missProp = _CUDA_ACCESS_PROPERTY_STREAMING
attr = _StreamAttrValue()
attr.accessPolicyWindow = window
return _cudart.cudaStreamSetAttribute(
ctypes.c_void_p(stream_ptr),
ctypes.c_int(_CUDA_STREAM_ATTR_ACCESS_POLICY_WINDOW),
ctypes.byref(attr),
) == 0
return True # no-op fallback
def reset(self) -> bool:
"""Reset persisting L2 cache. Call between inference batches."""
return self._reset_persisting_l2() if self._hw_available else True
def configure_inference(
self,
embedding: Optional[torch.Tensor] = None,
attention_weights: Optional[torch.Tensor] = None,
kv_cache: Optional[torch.Tensor] = None,
stream: Optional[torch.cuda.Stream] = None,
) -> bool:
"""
Configure L2 cache for transformer inference.
Pins tensors with appropriate priorities:
1. Embedding table (highest — hit_ratio=1.0)
2. Attention weights (hit_ratio=0.9)
3. KV cache (lowest — hit_ratio=0.7)
Args:
embedding: Embedding table tensor
attention_weights: Combined attention weights
kv_cache: KV cache tensor
stream: CUDA stream
"""
success = True
if embedding is not None:
success = success and self.pin(embedding, 1.0, stream)
if attention_weights is not None:
success = success and self.pin(attention_weights, 0.9, stream)
if kv_cache is not None:
success = success and self.pin(kv_cache, 0.7, stream)
return success
# =============================================================================
# Benchmark Utilities
# =============================================================================
def benchmark_tma_vs_cublas(sizes=None, warmup=10, iters=100):
"""Benchmark TMA MatMul vs cuBLAS."""
import time
if sizes is None:
sizes = [(2048, 2048, 2048), (4096, 4096, 4096), (8192, 8192, 8192)]
print("=" * 60)
print("TMA MatMul vs cuBLAS Benchmark")
print("=" * 60)
for M, N, K in sizes:
a = torch.randn(M, K, device='cuda', dtype=torch.bfloat16)
b = torch.randn(K, N, device='cuda', dtype=torch.bfloat16)
# Warmup
for _ in range(warmup):
_ = tma_matmul(a, b)
_ = torch.matmul(a, b)
torch.cuda.synchronize()
# TMA MatMul
start = time.perf_counter()
for _ in range(iters):
_ = tma_matmul(a, b)
torch.cuda.synchronize()
tma_time = (time.perf_counter() - start) / iters
# cuBLAS
start = time.perf_counter()
for _ in range(iters):
_ = torch.matmul(a, b)
torch.cuda.synchronize()
cublas_time = (time.perf_counter() - start) / iters
flops = 2 * M * N * K
tma_tflops = flops / tma_time / 1e12
cublas_tflops = flops / cublas_time / 1e12
speedup = cublas_time / tma_time
print(f"{M}x{N}x{K}:")
print(f" TMA: {tma_tflops:.1f} TFLOPS ({tma_time*1000:.2f}ms)")
print(f" cuBLAS: {cublas_tflops:.1f} TFLOPS ({cublas_time*1000:.2f}ms)")
print(f" Speedup: {speedup:.2f}x")
print()
def benchmark_fp4_vs_fp16(M=4096, N=4096, K=4096, warmup=10, iters=100):
"""Benchmark NVFP4, MXFP4, and FP16 GEMM paths."""
import time
print("=" * 60)
print("FP4 vs FP16 GEMM Benchmark")
print("=" * 60)
# Create weights in both formats
w_fp16 = torch.randn(K, N, device='cuda', dtype=torch.float16)
w_mxfp4 = quantize_to_mxfp4(w_fp16)
w_nvfp4 = quantize_to_nvfp4(w_fp16)
a = torch.randn(M, K, device='cuda', dtype=torch.bfloat16)
# Memory usage
fp16_bytes = w_fp16.numel() * 2
mxfp4_bytes = w_mxfp4.packed.numel() + w_mxfp4.scales.numel()
nvfp4_bytes = w_nvfp4.packed.numel() + w_nvfp4.block_scales.numel()
print(f"Weight memory:")
print(f" FP16: {fp16_bytes / 1e6:.1f} MB")
print(f" MXFP4: {mxfp4_bytes / 1e6:.1f} MB ({fp16_bytes / mxfp4_bytes:.1f}x smaller)")
print(f" NVFP4: {nvfp4_bytes / 1e6:.1f} MB ({fp16_bytes / nvfp4_bytes:.1f}x smaller)")
print()
# ---- Kernel-only benchmark (isolates kernel from activation quant) ----
print(f"{M}x{N}x{K} Kernel-only (no activation quant overhead):")
for _ in range(warmup):
_fused_nvfp4_matmul(a, w_nvfp4)
_fused_fp4_matmul(a, w_mxfp4)
torch.matmul(a.half(), w_fp16)
torch.cuda.synchronize()
start = time.perf_counter()
for _ in range(iters):
_fused_nvfp4_matmul(a, w_nvfp4)
torch.cuda.synchronize()
nvfp4_kern_time = (time.perf_counter() - start) / iters
start = time.perf_counter()
for _ in range(iters):
_fused_fp4_matmul(a, w_mxfp4)
torch.cuda.synchronize()
mxfp4_kern_time = (time.perf_counter() - start) / iters
start = time.perf_counter()
for _ in range(iters):
torch.matmul(a.half(), w_fp16)
torch.cuda.synchronize()
fp16_time = (time.perf_counter() - start) / iters
flops = 2 * M * N * K
print(f" NVFP4 kernel: {flops/nvfp4_kern_time/1e12:.1f} TFLOPS ({nvfp4_kern_time*1000:.2f}ms)")
print(f" MXFP4 kernel: {flops/mxfp4_kern_time/1e12:.1f} TFLOPS ({mxfp4_kern_time*1000:.2f}ms)")
print(f" BF16 cuBLAS: {flops/fp16_time/1e12:.1f} TFLOPS ({fp16_time*1000:.2f}ms)")
print()
# ---- Full pipeline benchmark (includes Hadamard + activation quant) ----
print(f"{M}x{N}x{K} Full pipeline (Hadamard + act quant + kernel):")
for _ in range(warmup):
nvfp4_gemm(a, w_nvfp4)
mxfp4_gemm(a, w_mxfp4)
mxfp4_gemm_legacy(a, w_mxfp4)
torch.cuda.synchronize()
start = time.perf_counter()
for _ in range(iters):
nvfp4_gemm(a, w_nvfp4)
torch.cuda.synchronize()
nvfp4_pipe_time = (time.perf_counter() - start) / iters
start = time.perf_counter()
for _ in range(iters):
mxfp4_gemm(a, w_mxfp4)
torch.cuda.synchronize()
mxfp4_pipe_time = (time.perf_counter() - start) / iters
start = time.perf_counter()
for _ in range(iters):
mxfp4_gemm_legacy(a, w_mxfp4)
torch.cuda.synchronize()
legacy_time = (time.perf_counter() - start) / iters
print(f" NVFP4 pipeline: {flops/nvfp4_pipe_time/1e12:.1f} TFLOPS ({nvfp4_pipe_time*1000:.2f}ms)")
print(f" MXFP4 pipeline: {flops/mxfp4_pipe_time/1e12:.1f} TFLOPS ({mxfp4_pipe_time*1000:.2f}ms)")
print(f" MXFP4 legacy: {flops/legacy_time/1e12:.1f} TFLOPS ({legacy_time*1000:.2f}ms)")
act_overhead_nv = nvfp4_pipe_time - nvfp4_kern_time
act_overhead_mx = mxfp4_pipe_time - mxfp4_kern_time
print(f" Act quant overhead: NVFP4={act_overhead_nv*1000:.2f}ms MXFP4={act_overhead_mx*1000:.2f}ms")
print()
# ---- Probes ----
print(f" Native FP4 probe: {_can_use_native_fp4()}")
print(f" Scaled MM FP4 probe: {_can_use_scaled_mm_fp4()}")
# ---- Accuracy (kernel-only, apples-to-apples) ----
# Compare fused kernel output vs torch.matmul with same dequantized weights
# using the SAME activations (no Hadamard/quant noise difference)
out_nv_kern = _fused_nvfp4_matmul(a, w_nvfp4)
out_nv_ref = torch.matmul(a.float(), w_nvfp4.to_float()).bfloat16()
rel_err_nv = (out_nv_kern.float() - out_nv_ref.float()).abs().mean() / out_nv_ref.float().abs().mean()
out_mx_kern = _fused_fp4_matmul(a, w_mxfp4)
out_mx_ref = torch.matmul(a.float(), w_mxfp4.to_float()).bfloat16()
rel_err_mx = (out_mx_kern.float() - out_mx_ref.float()).abs().mean() / out_mx_ref.float().abs().mean()
# MXFP4 fused vs legacy (both use same pipeline, should match exactly)
out_mxfp4_fused = mxfp4_gemm(a, w_mxfp4)
out_legacy = mxfp4_gemm_legacy(a, w_mxfp4)
rel_err_mx_pipe = (out_mxfp4_fused - out_legacy).abs().mean() / out_legacy.abs().mean()
print(f" NVFP4 kernel rel_err (vs matmul): {rel_err_nv:.6f}")
print(f" MXFP4 kernel rel_err (vs matmul): {rel_err_mx:.6f}")
print(f" MXFP4 fused vs legacy rel_err: {rel_err_mx_pipe:.6f}")
if __name__ == "__main__":
print("FireEcho CUTLASS-Compatible Kernels (self-contained)")
print("=" * 60)
print(f"Triton available: True")
print(f"cudart loaded: {_cudart is not None}")
if torch.cuda.is_available():
l2 = L2CacheManager()
print(f"L2 Cache size: {l2.l2_size / 1e6:.0f} MB")
print(f"Max persisting: {l2.max_persisting / 1e6:.0f} MB")
print(f"HW L2 pinning: {l2._hw_available}")
print(f"Native FP4 (dot_scaled): {_can_use_native_fp4()}")
print(f"Scaled MM FP4: {_can_use_scaled_mm_fp4()}")
print()
benchmark_tma_vs_cublas(sizes=[(2048, 2048, 2048)])
benchmark_fp4_vs_fp16(M=2048, N=2048, K=2048)