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# Copyright (c) 2024-2026 Luis E. Davila Flores. All rights reserved.
#
# FireEcho Engine β High-Performance Inference Kernel
# Creator & Sole Author: Luis E. Davila Flores
#
# Licensed under Creative Commons Attribution-NonCommercial 4.0 International
# (CC BY-NC 4.0). You may share and adapt this work for non-commercial
# purposes with proper attribution. Full license terms:
# https://creativecommons.org/licenses/by-nc/4.0/
# =============================================================================
"""
FireEcho Goliath β Native FP4/FP8/INT2/FE-XC/FE-XVQ Fused Triton GEMM Kernel
===============================================================================
Part of the FireEcho Engine β Custom inference kernel for NVIDIA Blackwell
Copyright (c) 2025-2026 Echo (FireEcho Project). All rights reserved.
A unified quantized GEMM kernel that dequantizes inside the Triton matmul
loop β no separate dequantization step, no global memory materialization.
Features:
1. NVFP4 GEMM β Fused dequant inside Triton matmul
2. NVFP8 GEMM β Same approach for FP8
3. INT2 GEMM β 2-bit quantization for cold MoE experts
4. FE-XC GEMM β Codebook 2-bit (2x8) with CodeGEMM psumbook (near-FP16 quality)
5. FE-XVQ GEMM β Hessian-weighted codebook 2-bit (VPTQ-inspired, second-order optimal)
6. Packed MoE β Contiguous [128, K//2, N] expert buffers, GPU expert IDs
7. Fused SwiGLU+Down β Single-kernel gate+up+silu+mul+down
8. Auto-dispatch β Automatically choose FP4/FP8/INT2/FE-XC/FE-XVQ based on expert temperature
9. Unified API:
- goliath_quantize(tensor, bits=4 or 8)
- goliath_gemm(activations, quantized_weights)
Design:
- Loads packed FP4/FP8 data directly from global memory
- Dequantizes in registers (not global memory) β zero extra traffic
- Uses Triton block pointers for efficient memory access
- Supports both BF16 and FP16 accumulation
- Target: 5-10x over the 10.4 TFLOPS baseline
Usage:
from goliath_kernel import goliath_quantize, goliath_gemm
# FP4 quantization (maximum compression)
w_q4 = goliath_quantize(weights, bits=4)
out = goliath_gemm(activations, w_q4)
# FP8 quantization (higher accuracy)
w_q8 = goliath_quantize(weights, bits=8)
out = goliath_gemm(activations, w_q8)
# Auto mode (let Goliath decide)
w_q = goliath_quantize(weights, bits='auto')
out = goliath_gemm(activations, w_q)
"""
import torch
import triton
import triton.language as tl
from typing import Optional, Tuple, Union
from dataclasses import dataclass
# =============================================================================
# NVFP4 Bridge (cutlass_kernels β native cuBLAS path when available)
# =============================================================================
try:
from cutlass_kernels import (
NVFP4Weights as _BridgeNVFP4Weights,
_fused_nvfp4_matmul as _bridge_fused_nvfp4,
_can_use_scaled_mm_fp4 as _bridge_can_use_cublas_fp4,
_scaled_mm_fp4 as _bridge_scaled_mm_fp4,
)
_NVFP4_BRIDGE_AVAILABLE = True
except Exception:
_BridgeNVFP4Weights = None
_bridge_fused_nvfp4 = None
_bridge_can_use_cublas_fp4 = None
_bridge_scaled_mm_fp4 = None
_NVFP4_BRIDGE_AVAILABLE = False
# =============================================================================
# E2M1 Constants (shared with cutlass_kernels)
# =============================================================================
_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,
)
_E2M1_BOUNDARIES = torch.tensor([0.25, 0.75, 1.25, 1.75, 2.5, 3.5, 5.0])
# =============================================================================
# E4M3 Encode/Decode (PyTorch host-side)
# =============================================================================
def _encode_e4m3(values: torch.Tensor) -> torch.Tensor:
"""Encode FP32 values to E4M3 (FP8) as uint8."""
if hasattr(torch, 'float8_e4m3fn'):
return values.clamp(-448.0, 448.0).to(torch.float8_e4m3fn).view(torch.uint8)
v = values.float().clamp(-448.0, 448.0)
sign = (v < 0).to(torch.uint8) << 7
av = v.abs().clamp(min=0.0)
log2_av = torch.log2(av.clamp(min=2**-9))
exp_raw = torch.floor(log2_av).clamp(-6, 8)
exp_biased = (exp_raw + 7).clamp(0, 15)
mantissa_f = (av / torch.pow(2.0, exp_raw) - 1.0) * 8.0
mantissa = mantissa_f.round().clamp(0, 7).to(torch.uint8)
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."""
if hasattr(torch, 'float8_e4m3fn'):
return encoded.view(torch.float8_e4m3fn).float()
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)
# =============================================================================
# Goliath Quantized Weight Containers
# =============================================================================
@dataclass
class GoliathFP4Weights:
"""
Goliath FP4 quantized weights β fused-dequant format.
16-element blocks, E4M3 scales, per-tensor FP32 scale.
Packed as 2 nibbles per uint8 byte (same as NVFP4).
Optional FP8 residual correction (double-buff) for near-FP16 accuracy.
"""
packed: torch.Tensor # [K//2, N] uint8
block_scales: torch.Tensor # [K//16, N] uint8 (E4M3)
tensor_scale: float # FP32 per-tensor scale
shape: Tuple[int, int] # (K, N)
bits: int = 4
# FP8 residual correction (optional, "double-buff")
residual: Optional[torch.Tensor] = None # [K, N] uint8 β E4M3 encoded
residual_scales: Optional[torch.Tensor] = None # [K//16, N] float32 per-block
@classmethod
def from_float(cls, weights: torch.Tensor, training: bool = False,
sr_seed: Optional[int] = None,
compute_residual: bool = False) -> 'GoliathFP4Weights':
K, N = weights.shape
assert K % 16 == 0, f"K ({K}) must be multiple of 16 for FP4"
device = weights.device
w = weights.float()
reshaped = w.view(K // 16, 16, N)
absmax = reshaped.abs().amax(dim=1).clamp(min=1e-10)
# Two-level scaling
global_absmax = absmax.max().clamp(min=1e-10)
tensor_scale = (global_absmax / 448.0).item()
target = absmax / (tensor_scale * 6.0)
target = target.clamp(min=1e-10)
block_scales_fp8 = _encode_e4m3(target)
actual_scale = _decode_e4m3(block_scales_fp8) * tensor_scale
actual_scale = actual_scale.clamp(min=1e-10)
normalized = (reshaped / actual_scale.unsqueeze(1)).clamp(-6.0, 6.0)
# Vectorized bucketize quantization
boundaries = _E2M1_BOUNDARIES.to(device)
abs_norm = normalized.abs().reshape(-1)
unsigned_idx = torch.bucketize(abs_norm, boundaries)
# Stochastic rounding for training (reduces systematic quantization bias)
if training and sr_seed is not None:
e2m1_unsigned = _E2M1_VALUES[:8].to(device) # [0, 0.5, 1, 1.5, 2, 3, 4, 6]
lower_val = e2m1_unsigned[unsigned_idx.clamp(max=7)]
upper_val = e2m1_unsigned[(unsigned_idx + 1).clamp(max=7)]
spread = (upper_val - lower_val).clamp(min=1e-10)
frac = (abs_norm - lower_val) / spread
gen = torch.Generator(device=device).manual_seed(sr_seed)
rand = torch.rand_like(frac, generator=gen)
unsigned_idx = torch.where(rand < frac, unsigned_idx + 1, unsigned_idx).clamp(0, 7)
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))
# FP8 residual correction (double-buff)
residual_e4m3 = None
residual_scales = None
if compute_residual:
fp4_approx = cls(
packed=packed, block_scales=block_scales_fp8,
tensor_scale=tensor_scale, shape=(K, N),
).to_float()
residual_float = w - fp4_approx
res_blocks = residual_float.view(K // 16, 16, N)
res_absmax = res_blocks.abs().amax(dim=1).clamp(min=1e-10)
res_scale = res_absmax / 448.0
res_normalized = res_blocks / res_scale.unsqueeze(1)
res_normalized = res_normalized.clamp(-448.0, 448.0)
residual_e4m3 = res_normalized.view(K, N).to(torch.float8_e4m3fn).view(torch.uint8)
residual_scales = res_scale
return cls(
packed=packed,
block_scales=block_scales_fp8,
tensor_scale=tensor_scale,
shape=(K, N),
residual=residual_e4m3,
residual_scales=residual_scales,
)
def to_float(self) -> torch.Tensor:
K, N = self.shape
device = self.packed.device
e2m1 = _E2M1_VALUES.to(device)
low = (self.packed & 0xF).long()
high = (self.packed >> 4).long()
low_vals = e2m1[low.flatten()].view(K // 2, N)
high_vals = e2m1[high.flatten()].view(K // 2, N)
unpacked = torch.zeros(K, N, device=device, dtype=torch.float32)
unpacked[0::2] = low_vals
unpacked[1::2] = high_vals
block_sf = _decode_e4m3(self.block_scales)
scale = block_sf * self.tensor_scale
unpacked = unpacked.view(K // 16, 16, N) * scale.unsqueeze(1)
return unpacked.view(K, N)
@dataclass
class GoliathFP4NativeWeights:
"""
Goliath FP4 native weights for ``tl.dot_scaled`` code path.
Layout required by ``tl.dot_scaled(..., "e2m1")``:
- packed_col_major: [N, K//2] uint8 β E2M1 nibbles, col-major for RHS
- scales_e8m0: [N, K//32] uint8 β E8M0 power-of-two scales (32-element blocks)
Created from a GoliathFP4Weights instance via ``from_goliath_fp4()``.
"""
packed_col_major: torch.Tensor # [N, K//2] uint8
scales_e8m0: torch.Tensor # [N, K//32] uint8
shape: Tuple[int, int] # (K, N) β original weight shape
bits: int = 4
@classmethod
def from_goliath_fp4(cls, w: GoliathFP4Weights) -> 'GoliathFP4NativeWeights':
"""Convert GoliathFP4Weights β native dot_scaled layout.
Transposes packed data to col-major [N, K//2] and converts
E4M3 16-element block scales β E8M0 32-element block scales.
"""
K, N = w.shape
device = w.packed.device
# Transpose packed nibbles: [K//2, N] β [N, K//2]
packed_col = w.packed.T.contiguous()
# Convert E4M3 block scales to E8M0 (power-of-two, 32-element blocks)
# w.block_scales: [K//16, N] uint8 E4M3
# E8M0 needs [K//32, N] β merge pairs of 16-element groups
scales_f = _decode_e4m3(w.block_scales) # [K//16, N] float32
num_16_groups = K // 16
if num_16_groups >= 2:
# Pair consecutive 16-element groups β 32-element blocks
scales_paired = scales_f.view(num_16_groups // 2, 2, N)
# Effective scale = max of the pair * tensor_scale
scales_32 = scales_paired.amax(dim=1) * w.tensor_scale # [K//32, N]
else:
scales_32 = scales_f * w.tensor_scale # [1, N] (K==16 edge case)
# E8M0 encoding: uint8 = round(log2(val / 6.0)) + 127
# 6.0 = max absolute E2M1 value; E8M0 is pure exponent (bias 127)
safe_scales = scales_32.clamp(min=1e-20)
log2_val = torch.log2(safe_scales / 6.0)
e8m0 = (log2_val.round() + 127).clamp(0, 254).to(torch.uint8) # [K//32, N]
# Transpose scales to [N, K//32] for col-major RHS access
scales_col = e8m0.T.contiguous()
return cls(
packed_col_major=packed_col,
scales_e8m0=scales_col,
shape=(K, N),
)
@dataclass
class GoliathFP8Weights:
"""
Goliath FP8 quantized weights β fused-dequant format.
Per-block FP32 scales, data stored as uint8 E4M3 encoding.
Block size: 32 elements (matches Triton tile granularity for shared memory).
"""
data: torch.Tensor # [K, N] uint8 (E4M3 encoded)
block_scales: torch.Tensor # [K//32, N] float32 per-block scale
shape: Tuple[int, int] # (K, N)
bits: int = 8
@classmethod
def from_float(cls, weights: torch.Tensor) -> 'GoliathFP8Weights':
K, N = weights.shape
assert K % 32 == 0, f"K ({K}) must be multiple of 32 for FP8"
device = weights.device
w = weights.float()
reshaped = w.view(K // 32, 32, N)
absmax = reshaped.abs().amax(dim=1).clamp(min=1e-10) # [K//32, N]
# Scale so max maps to 448 (E4M3 max)
block_scales = absmax / 448.0 # [K//32, N]
normalized = reshaped / block_scales.unsqueeze(1)
normalized = normalized.clamp(-448.0, 448.0)
# Encode as E4M3
data = _encode_e4m3(normalized.reshape(K, N))
return cls(
data=data,
block_scales=block_scales,
shape=(K, N),
)
def to_float(self) -> torch.Tensor:
K, N = self.shape
decoded = _decode_e4m3(self.data) # [K, N]
decoded = decoded.view(K // 32, 32, N) * self.block_scales.unsqueeze(1)
return decoded.view(K, N)
# =============================================================================
# Goliath INT2 Weights β Aggressive 2-bit Quantization for Cold Experts
# =============================================================================
#
# Simple uniform 2-bit quantization with group scales:
# - 4 weights packed per uint8 byte
# - 32-element groups with FP16 scales
# - Values quantize to {-2, -1, 0, 1} Γ scale
# - 2x smaller than FP4 (0.25 bytes/weight vs 0.5 bytes/weight)
#
# Use case: Cold MoE experts (rarely routed, <10% of tokens)
# Quality: ~2-3% accuracy loss acceptable for cold experts
#
@dataclass
class GoliathINT2Weights:
"""
Goliath INT2 quantized weights β aggressive compression for cold experts.
32-element groups, FP16 scales, 4 weights packed per uint8 byte.
Values map to {-2, -1, 0, 1} Γ scale (symmetric 2-bit).
"""
packed: torch.Tensor # [K//4, N] uint8 (4 weights per byte)
block_scales: torch.Tensor # [K//32, N] float16 per-block scale
shape: Tuple[int, int] # (K, N)
bits: int = 2
@classmethod
def from_float(cls, weights: torch.Tensor, stochastic: bool = False) -> 'GoliathINT2Weights':
"""Quantize FP32/BF16 weights to INT2 format.
Args:
weights: Input [K, N] tensor
stochastic: Use stochastic rounding (reduces bias for training)
Returns:
GoliathINT2Weights with packed 2-bit data
"""
K, N = weights.shape
assert K % 32 == 0, f"K ({K}) must be multiple of 32 for INT2"
device = weights.device
w = weights.float()
# Reshape to 32-element blocks for scaling
reshaped = w.view(K // 32, 32, N)
absmax = reshaped.abs().amax(dim=1).clamp(min=1e-10) # [K//32, N]
# Scale factor: map max to 2.0 (our max quantized value)
block_scales = (absmax / 2.0).to(torch.float16) # [K//32, N]
# Normalize to [-2, 2] range
scale_expanded = block_scales.unsqueeze(1).float() # [K//32, 1, N]
normalized = reshaped / scale_expanded.clamp(min=1e-10) # [K//32, 32, N]
# Quantize to {-2, -1, 0, 1} (2-bit signed)
if stochastic:
# Stochastic rounding
noise = torch.rand_like(normalized) - 0.5
quantized = torch.round(normalized + noise * 0.5)
else:
quantized = torch.round(normalized)
quantized = quantized.clamp(-2, 1).to(torch.int8) # {-2, -1, 0, 1}
# Shift to unsigned {0, 1, 2, 3} for packing
unsigned = (quantized + 2).to(torch.uint8) # {0, 1, 2, 3}
# Reshape to [K, N] for packing
unsigned = unsigned.view(K, N)
# Pack 4 weights per byte: w0 | (w1 << 2) | (w2 << 4) | (w3 << 6)
packed = (unsigned[0::4] |
(unsigned[1::4] << 2) |
(unsigned[2::4] << 4) |
(unsigned[3::4] << 6)) # [K//4, N]
return cls(
packed=packed,
block_scales=block_scales,
shape=(K, N),
)
@classmethod
def from_fp4(cls, fp4_weights: GoliathFP4Weights) -> 'GoliathINT2Weights':
"""Convert FP4 weights to INT2 (for demoting cold experts)."""
return cls.from_float(fp4_weights.to_float())
def to_float(self) -> torch.Tensor:
"""Dequantize INT2 weights back to FP32."""
K, N = self.shape
device = self.packed.device
# Unpack 4 weights per byte
w0 = (self.packed & 0x3).to(torch.int8) - 2 # {0,1,2,3} -> {-2,-1,0,1}
w1 = ((self.packed >> 2) & 0x3).to(torch.int8) - 2
w2 = ((self.packed >> 4) & 0x3).to(torch.int8) - 2
w3 = ((self.packed >> 6) & 0x3).to(torch.int8) - 2
# Interleave back to [K, N]
unpacked = torch.zeros(K, N, device=device, dtype=torch.float32)
unpacked[0::4] = w0.float()
unpacked[1::4] = w1.float()
unpacked[2::4] = w2.float()
unpacked[3::4] = w3.float()
# Apply block scales
unpacked = unpacked.view(K // 32, 32, N)
unpacked = unpacked * self.block_scales.unsqueeze(1).float()
return unpacked.view(K, N)
def memory_bytes(self) -> int:
"""Return memory usage in bytes."""
return self.packed.numel() + self.block_scales.numel() * 2 # FP16 = 2 bytes
@dataclass
class GoliathFEXCWeights:
"""
FE-XC (FireEcho Xtreme Compress) β Codebook-based 2-bit quantization.
Uses AQLM-style 2x8 additive codebooks: each group of 8 weights is
represented as C0[idx0] + C1[idx1] where C0/C1 are learned codebooks
with 256 centroids each. Achieves near-FP16 quality at 2 bits/weight.
Combined with CodeGEMM-style psumbook precomputation for fast inference:
precompute psumbook[m,c,j] = dot(codebook[m][c], input[j*8:(j+1)*8])
once per token, then the matmul reduces to scalar gathers + adds.
Layout:
codes: [K, N//8, 2] uint8 β 2 codebook indices per 8-weight group
codebooks: [2, 256, 8] float16 β 2 codebooks, 256 centroids, 8 elements
scales: [K] float16 β per-output-channel scale
"""
codes: torch.Tensor # [K, N//8, 2] uint8
codebooks: torch.Tensor # [2, 256, 8] float16
scales: torch.Tensor # [K] float16
shape: Tuple[int, int] # (K, N)
bits: int = 2
group_size: int = 8
@classmethod
def from_float(
cls,
weights: torch.Tensor,
codebooks: Optional[torch.Tensor] = None,
n_centroids: int = 256,
n_iters: int = 20,
) -> 'GoliathFEXCWeights':
"""Quantize FP32/BF16 weights to FE-XC 2x8 codebook format.
Uses residual k-means: learn codebook_0 on raw groups, then
codebook_1 on residuals. If codebooks are provided (shared),
skips k-means and only assigns codes.
Args:
weights: Input [K, N] tensor
codebooks: Optional pre-learned [2, 256, 8] codebooks (shared across experts)
n_centroids: Number of codebook entries (default 256)
n_iters: K-means iterations (default 20)
Returns:
GoliathFEXCWeights with codebook indices + shared codebooks
"""
K, N = weights.shape
g = 8
assert N % g == 0, f"N ({N}) must be multiple of group_size {g}"
device = weights.device
w = weights.float()
# Reshape to groups: [K * N//g, g]
groups = w.view(-1, g) # [K*N/8, 8]
num_groups = groups.shape[0]
if codebooks is None:
# Learn codebooks via residual k-means
codebooks = torch.zeros(2, n_centroids, g, device=device, dtype=torch.float32)
for cb_idx in range(2):
if cb_idx == 0:
data = groups
else:
# Residual after first codebook
nearest_0 = codebooks[0][codes_0.long()] # [num_groups, g]
data = groups - nearest_0
# K-means: init with random sample
perm = torch.randperm(num_groups, device=device)[:n_centroids]
centroids = data[perm].clone() # [256, g]
for _ in range(n_iters):
# Assign: find nearest centroid for each group
# dists[i, c] = ||data[i] - centroids[c]||^2
dists = torch.cdist(data, centroids) # [num_groups, 256]
assignments = dists.argmin(dim=1) # [num_groups]
# Update centroids
for c in range(n_centroids):
mask = (assignments == c)
if mask.any():
centroids[c] = data[mask].mean(dim=0)
codebooks[cb_idx] = centroids
if cb_idx == 0:
codes_0 = dists.argmin(dim=1).to(torch.uint8)
codebooks = codebooks.to(torch.float16)
else:
codebooks = codebooks.to(device=device)
# Assign codes using provided or learned codebooks
cb_float = codebooks.float()
# Codebook 0: nearest centroid
dists_0 = torch.cdist(groups, cb_float[0]) # [num_groups, 256]
codes_0 = dists_0.argmin(dim=1).to(torch.uint8) # [num_groups]
# Residual after codebook 0
residual = groups - cb_float[0][codes_0.long()]
# Codebook 1: nearest centroid on residual
dists_1 = torch.cdist(residual, cb_float[1])
codes_1 = dists_1.argmin(dim=1).to(torch.uint8)
# Pack codes: [K, N//g, 2]
codes = torch.stack([codes_0, codes_1], dim=1).view(K, N // g, 2)
# Per-output-channel scale: compensate for reconstruction error
reconstructed = (cb_float[0][codes_0.long()] + cb_float[1][codes_1.long()]).view(K, N)
row_norms_orig = w.norm(dim=1).clamp(min=1e-10)
row_norms_recon = reconstructed.norm(dim=1).clamp(min=1e-10)
scales = (row_norms_orig / row_norms_recon).to(torch.float16)
return cls(
codes=codes,
codebooks=codebooks.to(torch.float16),
scales=scales,
shape=(K, N),
)
@classmethod
def from_fp4(cls, fp4_weights: GoliathFP4Weights,
codebooks: Optional[torch.Tensor] = None) -> 'GoliathFEXCWeights':
"""Convert FP4 weights to FE-XC (for demoting cold experts)."""
return cls.from_float(fp4_weights.to_float(), codebooks=codebooks)
def to_float(self) -> torch.Tensor:
"""Dequantize FE-XC weights back to FP32."""
K, N = self.shape
g = self.group_size
cb = self.codebooks.float() # [2, 256, 8]
codes_flat = self.codes.view(-1, 2).long() # [K*N//8, 2]
reconstructed = cb[0][codes_flat[:, 0]] + cb[1][codes_flat[:, 1]] # [K*N//8, 8]
reconstructed = reconstructed.view(K, N)
# Apply per-row scale
reconstructed = reconstructed * self.scales.float().unsqueeze(1)
return reconstructed
def memory_bytes(self) -> int:
"""Return memory usage in bytes."""
return (self.codes.numel() # uint8
+ self.codebooks.numel() * 2 # float16
+ self.scales.numel() * 2) # float16
@dataclass
class GoliathFEXVQWeights:
"""
FE-XVQ (FireEcho XVector Quantization) β Hessian-weighted codebook 2-bit.
VPTQ-inspired: uses second-order information (Hessian diagonal from
calibration data) to weight the k-means objective. Errors in important
dimensions (high Hessian) are penalized more, producing better codebooks
than FE-XC's plain MSE k-means.
Same storage format as FE-XC β reuses the same inference kernel (psumbook
CodeGEMM). Only the codebook LEARNING differs.
For a linear layer y = Wx, the Hessian H = X^T X (input covariance).
Quantization error Ξ΄w contributes Ξ΄w^T H Ξ΄w to output loss.
FE-XVQ minimizes this weighted error instead of plain ||Ξ΄w||^2.
Layout (identical to FE-XC):
codes: [K, N//8, 2] uint8 β 2 codebook indices per 8-weight group
codebooks: [2, 256, 8] float16 β 2 codebooks, 256 centroids, 8 elements
scales: [K] float16 β per-output-channel scale
"""
codes: torch.Tensor # [K, N//8, 2] uint8
codebooks: torch.Tensor # [2, 256, 8] float16
scales: torch.Tensor # [K] float16
shape: Tuple[int, int] # (K, N)
bits: int = 2
group_size: int = 8
@classmethod
def from_float(
cls,
weights: torch.Tensor,
hessian_diag: Optional[torch.Tensor] = None,
codebooks: Optional[torch.Tensor] = None,
n_centroids: int = 256,
n_iters: int = 20,
) -> 'GoliathFEXVQWeights':
"""Quantize weights to FE-XVQ format with Hessian-weighted codebooks.
When hessian_diag is provided, uses importance-weighted k-means:
distance = sum(h_i * (w_i - c_i)^2) instead of plain MSE.
This prioritizes accuracy on dimensions that matter most for output.
The Hessian diagonal is averaged within each group of 8 to produce
per-element importance weights [8]. Both data and centroids are
pre-scaled by sqrt(h_avg), converting Mahalanobis distance to
Euclidean β enabling efficient torch.cdist.
Falls back to plain k-means (FE-XC equivalent) when hessian_diag=None.
Args:
weights: Input [K, N] tensor (K=out_features, N=in_features)
hessian_diag: Optional [N] tensor β diagonal of H = X^T X
codebooks: Optional pre-learned [2, 256, 8] codebooks
n_centroids: Number of codebook entries (default 256)
n_iters: K-means iterations (default 20)
Returns:
GoliathFEXVQWeights with Hessian-optimal codebook indices
"""
K, N = weights.shape
g = 8
assert N % g == 0, f"N ({N}) must be multiple of group_size {g}"
device = weights.device
w = weights.float()
# Reshape to groups: [K * N//g, g]
groups = w.view(-1, g) # [K*N/8, 8]
num_groups = groups.shape[0]
# Compute per-element importance weights [g] from Hessian diagonal
# Average over group positions to get a single [8] weight vector.
# This captures which of the 8 elements within each group matters most.
# Pre-scaling by sqrt(h_avg) converts MahalanobisβEuclidean for cdist.
if hessian_diag is not None:
h = hessian_diag.float().to(device)
h = h / h.mean().clamp(min=1e-10) # normalize mean=1
h_groups = h.view(-1, g) # [N//8, 8]
h_avg = h_groups.mean(dim=0) # [8] per-element importance
sqrt_h = h_avg.sqrt().unsqueeze(0) # [1, 8] for broadcasting
else:
sqrt_h = None
h_avg = None
# Transform groups to weighted space for efficient cdist
groups_w = groups * sqrt_h if sqrt_h is not None else groups
if codebooks is None:
codebooks = torch.zeros(2, n_centroids, g, device=device, dtype=torch.float32)
for cb_idx in range(2):
if cb_idx == 0:
data = groups
else:
nearest_0 = codebooks[0][codes_0.long()]
data = groups - nearest_0
data_w = data * sqrt_h if sqrt_h is not None else data
# K-means init: random sample
perm = torch.randperm(num_groups, device=device)[:n_centroids]
centroids = data[perm].clone() # [256, g] in original space
for _ in range(n_iters):
# Distances in Hessian-weighted space via pre-scaled cdist
cent_w = centroids * sqrt_h if sqrt_h is not None else centroids
dists = torch.cdist(data_w, cent_w) # [G, 256]
assignments = dists.argmin(dim=1)
# Update centroids (Hessian-weighted mean in original space)
for c in range(n_centroids):
mask = (assignments == c)
if mask.any():
if h_avg is not None:
# Weighted centroid: sum(h_avg * x) / sum(h_avg)
d_masked = data[mask] # [count, g]
centroids[c] = (h_avg * d_masked).sum(0) / (h_avg * mask.sum()).clamp(min=1e-10)
else:
centroids[c] = data[mask].mean(dim=0)
codebooks[cb_idx] = centroids
if cb_idx == 0:
codes_0 = dists.argmin(dim=1).to(torch.uint8)
codebooks = codebooks.to(torch.float16)
else:
codebooks = codebooks.to(device=device)
# Assign codes using Hessian-weighted distances
cb_float = codebooks.float()
cb0_w = cb_float[0] * sqrt_h if sqrt_h is not None else cb_float[0]
dists_0 = torch.cdist(groups_w, cb0_w)
codes_0 = dists_0.argmin(dim=1).to(torch.uint8)
residual = groups - cb_float[0][codes_0.long()]
residual_w = residual * sqrt_h if sqrt_h is not None else residual
cb1_w = cb_float[1] * sqrt_h if sqrt_h is not None else cb_float[1]
dists_1 = torch.cdist(residual_w, cb1_w)
codes_1 = dists_1.argmin(dim=1).to(torch.uint8)
# Pack codes: [K, N//g, 2]
codes = torch.stack([codes_0, codes_1], dim=1).view(K, N // g, 2)
# Per-output-channel scale (Hessian-weighted norm ratio)
reconstructed = (cb_float[0][codes_0.long()] + cb_float[1][codes_1.long()]).view(K, N)
if hessian_diag is not None:
h_row = hessian_diag.float().to(device).unsqueeze(0) # [1, N]
row_norms_orig = (w * w * h_row).sum(dim=1).sqrt().clamp(min=1e-10)
row_norms_recon = (reconstructed * reconstructed * h_row).sum(dim=1).sqrt().clamp(min=1e-10)
else:
row_norms_orig = w.norm(dim=1).clamp(min=1e-10)
row_norms_recon = reconstructed.norm(dim=1).clamp(min=1e-10)
scales = (row_norms_orig / row_norms_recon).to(torch.float16)
return cls(
codes=codes,
codebooks=codebooks.to(torch.float16),
scales=scales,
shape=(K, N),
)
@classmethod
def from_fexc(cls, fexc_weights: GoliathFEXCWeights) -> 'GoliathFEXVQWeights':
"""Promote FE-XC weights to FE-XVQ (same data, different type tag)."""
return cls(
codes=fexc_weights.codes,
codebooks=fexc_weights.codebooks,
scales=fexc_weights.scales,
shape=fexc_weights.shape,
)
def to_fexc(self) -> GoliathFEXCWeights:
"""Downcast to FE-XC (for using FE-XC inference kernel)."""
return GoliathFEXCWeights(
codes=self.codes,
codebooks=self.codebooks,
scales=self.scales,
shape=self.shape,
)
def to_float(self) -> torch.Tensor:
"""Dequantize FE-XVQ weights back to FP32 (same as FE-XC)."""
K, N = self.shape
g = self.group_size
cb = self.codebooks.float()
codes_flat = self.codes.view(-1, 2).long()
reconstructed = cb[0][codes_flat[:, 0]] + cb[1][codes_flat[:, 1]]
reconstructed = reconstructed.view(K, N)
reconstructed = reconstructed * self.scales.float().unsqueeze(1)
return reconstructed
def memory_bytes(self) -> int:
"""Return memory usage in bytes."""
return (self.codes.numel()
+ self.codebooks.numel() * 2
+ self.scales.numel() * 2)
# Union type for dispatch
GoliathWeights = Union[GoliathFP4Weights, GoliathFP8Weights, GoliathINT2Weights, GoliathFEXCWeights, GoliathFEXVQWeights]
# =============================================================================
# Triton JIT Helpers
# =============================================================================
@triton.jit
def _int2_decode(packed_byte, offset):
"""Decode 2-bit value from packed byte at given offset (0-3).
packed_byte: uint8 with 4 packed 2-bit values
offset: which 2-bit value to extract (0=bits 0-1, 1=bits 2-3, etc.)
Returns: float32 value in {-2, -1, 0, 1}
"""
shift = offset * 2
unsigned = (packed_byte >> shift) & 0x3 # Extract 2 bits
return (unsigned.to(tl.float32) - 2.0) # Convert {0,1,2,3} -> {-2,-1,0,1}
@triton.jit
def _e2m1_decode(idx):
"""Decode 4-bit E2M1 index -> float32."""
sign = (idx >> 3) & 1
exp = (idx >> 1) & 3
mant = idx & 1
is_normal = exp > 0
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)
@triton.jit
def _decode_e4m3_triton(raw_uint8):
"""Decode E4M3 FP8 in Triton registers."""
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)
# =============================================================================
# Goliath FP4 Fused Dequant-MatMul Kernel
# =============================================================================
@triton.autotune(
configs=[
# --- Blackwell 5090 prefill configs (dual-SM, high occupancy) ---
triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=5, num_warps=16),
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 for 170 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),
# --- MoE expert small-matrix (768Γ2048 / 2048Γ768) ---
# N=768: tiles must be 64 or 128 (768/64=12, 768/128=6)
# K=768: smaller K needs more pipeline depth
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 64, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 64, 'BLOCK_K': 64}, num_stages=4, num_warps=2),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 64, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _goliath_fp4_kernel(
a_ptr, # [M, K] activations
w_packed_ptr, # [K//2, N] uint8 packed FP4
w_scales_ptr, # [K//16, N] uint8 E4M3 scales
out_ptr, # [M, N] output
bias_ptr, # [N] optional bias
tensor_scale, # FP32 per-tensor scale
M, N, K,
stride_am, stride_ak,
stride_wk, stride_wn,
stride_sk, stride_sn,
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
ACC_DTYPE: tl.constexpr, # 0=float32, 1=bfloat16
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Goliath FP4 fused dequant-matmul kernel.
Loads packed E2M1 nibbles, dequantizes in registers via arithmetic decode,
applies two-level E4M3 + FP32 scaling, and accumulates via tl.dot().
The full dequantized weight matrix NEVER exists in global memory.
"""
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):
# Load A as even/odd column halves
even_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
a_even_ptrs = a_ptr + offs_m[:, None] * stride_am + even_k[None, :] * stride_ak
a_odd_ptrs = a_ptr + offs_m[:, None] * stride_am + odd_k[None, :] * stride_ak
mask_ae = (offs_m[:, None] < M) & (even_k[None, :] < K)
mask_ao = (offs_m[:, None] < M) & (odd_k[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_ae, other=0.0)
a_odd = tl.load(a_odd_ptrs, mask=mask_ao, other=0.0)
# Load packed weights
pk_start = k_start // 2
offs_pk = pk_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_pk[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_pk[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
# Unpack + E2M1 decode in registers
low_f = _e2m1_decode(packed & 0xF)
high_f = _e2m1_decode((packed >> 4) & 0xF)
# Load E4M3 scales (16-element groups = 8 packed rows each)
scale_start = k_start // 16
offs_local = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local // 8
scale_bc = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_mask = (sg_row < (K // 16)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_mask, other=0).to(tl.int32)
sg_val = _decode_e4m3_triton(sg_raw) * tensor_scale
sg_match = (group_idx == sg)
scale_bc = tl.where(sg_match[:, None], sg_val[None, :], scale_bc)
# Apply scales and cast
w_even = (low_f * scale_bc).to(tl.bfloat16)
w_odd = (high_f * scale_bc).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 = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias[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)
# =============================================================================
# Goliath FP4 Native dot_scaled Kernel (tcgen05.mma.mxf4)
# =============================================================================
#
# Activates only when Triton maps tl.dot_scaled to real FP4 tensor cores
# (SM >= 10.0 + Triton with MXFP4 support). On fallback hardware the probe
# function _can_use_goliath_dot_scaled() returns False and this path is skipped.
#
@triton.autotune(
configs=[
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=3, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 256, 'BLOCK_K': 256}, num_stages=3, num_warps=8),
triton.Config({'BLOCK_M': 128, 'BLOCK_N': 128, 'BLOCK_K': 256}, num_stages=3, num_warps=8),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _goliath_fp4_dot_scaled_kernel(
a_ptr, # [M, K] BF16 activations
w_packed_ptr, # [N, K//2] uint8 packed E2M1 (col-major)
w_scales_ptr, # [N, K//32] uint8 E8M0 scales
out_ptr, # [M, N] output
bias_ptr, # [N] optional bias
M, N, K,
stride_am, stride_ak,
stride_wn, stride_wk, # col-major: row=N, col=K//2
stride_sn, stride_sk, # col-major: row=N, col=K//32
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Goliath FP4 dot_scaled kernel β uses tl.dot_scaled for native MXFP4 TCs.
LHS = BF16 activations (no scale), RHS = E2M1 packed weights with E8M0 scales.
When Triton maps this to tcgen05.mma.mxf4, throughput reaches 200-800+ TFLOPS.
"""
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):
# --- LHS: load A tile [BLOCK_M, BLOCK_K] BF16 ---
offs_k = k_start + tl.arange(0, BLOCK_K)
a_ptrs = a_ptr + offs_m[:, None] * stride_am + offs_k[None, :] * stride_ak
mask_a = (offs_m[:, None] < M) & (offs_k[None, :] < K)
a_tile = tl.load(a_ptrs, mask=mask_a, other=0.0).to(tl.bfloat16)
# --- RHS: load packed weights [BLOCK_N, BLOCK_K//2] uint8 ---
pk_start = k_start // 2
offs_pk = pk_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_n[:, None] * stride_wn + offs_pk[None, :] * stride_wk
mask_w = (offs_n[:, None] < N) & (offs_pk[None, :] < (K // 2))
b_tile = tl.load(w_ptrs, mask=mask_w, other=0) # [BLOCK_N, HALF_BLOCK_K]
# --- RHS scales: load E8M0 [BLOCK_N, SCALES_PER_TILE] ---
sc_start = k_start // 32
offs_sc = sc_start + tl.arange(0, SCALES_PER_TILE)
s_ptrs = w_scales_ptr + offs_n[:, None] * stride_sn + offs_sc[None, :] * stride_sk
mask_s = (offs_n[:, None] < N) & (offs_sc[None, :] < (K // 32))
b_scale = tl.load(s_ptrs, mask=mask_s, other=127) # [BLOCK_N, SCALES_PER_TILE]
# --- tl.dot_scaled: A (bf16, no scale) Γ B^T (e2m1, e8m0 scale) ---
# b_tile is [BLOCK_N, HALF_BLOCK_K], transposed for RHS of dot_scaled
acc = tl.dot_scaled(a_tile, None, "bf16",
b_tile.T, b_scale, "e2m1",
acc)
# Bias
if HAS_BIAS:
bias = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias[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)
# =============================================================================
# Goliath FP8 Fused Dequant-MatMul Kernel
# =============================================================================
@triton.autotune(
configs=[
# --- Blackwell 5090 prefill configs (dual-SM, high occupancy) ---
triton.Config({'BLOCK_M': 256, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=5, num_warps=16),
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 for 170 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),
# --- MoE expert small-matrix (768Γ2048 / 2048Γ768) ---
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 64, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 16, 'BLOCK_N': 64, 'BLOCK_K': 64}, num_stages=4, num_warps=2),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 64, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
triton.Config({'BLOCK_M': 32, 'BLOCK_N': 128, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
],
key=['M', 'N', 'K'],
)
@triton.jit
def _goliath_fp8_kernel(
a_ptr, # [M, K] activations (BF16)
w_data_ptr, # [K, N] uint8 E4M3 encoded weights
w_scales_ptr, # [K//32, N] float32 per-block scales
out_ptr, # [M, N] output
bias_ptr, # [N] optional bias
M, N, K,
stride_am, stride_ak,
stride_wk, stride_wn,
stride_sk, stride_sn,
stride_om, stride_on,
HAS_BIAS: tl.constexpr,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""
Goliath FP8 fused dequant-matmul kernel.
Loads E4M3-encoded uint8 weights, dequantizes in registers via
_decode_e4m3_triton, applies per-block FP32 scales, accumulates via tl.dot().
No separate dequantization step β everything happens in-register.
32-element scale blocks for shared-memory-friendly tile sizes.
"""
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)
SCALES_PER_TILE: tl.constexpr = BLOCK_K // 32
for k_start in range(0, K, BLOCK_K):
# Load A tile
offs_k = k_start + tl.arange(0, BLOCK_K)
a_ptrs = a_ptr + offs_m[:, None] * stride_am + offs_k[None, :] * stride_ak
mask_a = (offs_m[:, None] < M) & (offs_k[None, :] < K)
a_tile = tl.load(a_ptrs, mask=mask_a, other=0.0)
# Load weight tile as uint8
w_ptrs = w_data_ptr + offs_k[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_k[:, None] < K) & (offs_n[None, :] < N)
w_raw = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
# Decode E4M3 in registers
w_decoded = _decode_e4m3_triton(w_raw) # [BLOCK_K, BLOCK_N] float32
# Apply per-block scales (32-element groups)
scale_start = k_start // 32
offs_local_k = tl.arange(0, BLOCK_K)
group_idx = offs_local_k // 32
scale_bc = tl.zeros((BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_mask = (sg_row < (K // 32)) & (offs_n < N)
sg_val = tl.load(sg_ptrs, mask=sg_mask, other=1.0) # [BLOCK_N] float32
sg_match = (group_idx == sg)
scale_bc = tl.where(sg_match[:, None], sg_val[None, :], scale_bc)
w_scaled = (w_decoded * scale_bc).to(tl.bfloat16)
# Matmul accumulate
acc += tl.dot(a_tile.to(tl.bfloat16), w_scaled)
# Bias
if HAS_BIAS:
bias = tl.load(bias_ptr + offs_n, mask=offs_n < N, other=0.0).to(tl.float32)
acc += bias[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)
# =============================================================================
# Kernel Wrappers
# =============================================================================
def _goliath_fp4_matmul(
activations: torch.Tensor,
weights: GoliathFP4Weights,
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""Launch Goliath FP4 fused dequant-matmul kernel.
Dispatches to native dot_scaled path when available (SM >= 10.0 +
Triton MXFP4 support), otherwise uses the manual dequant kernel.
"""
# Tier 1: Native dot_scaled path (SM >= 10.0 + real FP4 tensor cores)
if _can_use_goliath_dot_scaled():
native_w = GoliathFP4NativeWeights.from_goliath_fp4(weights)
return _goliath_fp4_dot_scaled_matmul(activations, native_w, bias)
# Tier 1.5: NVFP4 bridge (zero-copy, identical storage layout)
# packed [K//2, N] uint8, block_scales [K//16, N] E4M3, tensor_scale FP32
if _NVFP4_BRIDGE_AVAILABLE:
nvfp4_w = _BridgeNVFP4Weights(
packed=weights.packed,
block_scales=weights.block_scales,
tensor_scale=weights.tensor_scale,
shape=weights.shape,
residual=weights.residual,
residual_scales=weights.residual_scales,
)
# Prefer native cuBLAS FP4 on Blackwell (5th-gen tensor cores)
if _bridge_can_use_cublas_fp4 and _bridge_can_use_cublas_fp4():
return _bridge_scaled_mm_fp4(activations, nvfp4_w, bias)
return _bridge_fused_nvfp4(activations, nvfp4_w, bias)
# Tier 2: Manual dequant fallback
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_t = bias.contiguous().float()
else:
bias_t = torch.empty(0, device=a.device, dtype=torch.float32)
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_goliath_fp4_kernel[grid](
a, w_packed, w_scales, out, bias_t,
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,
ACC_DTYPE=0,
)
return out
def _goliath_fp8_matmul(
activations: torch.Tensor,
weights: GoliathFP8Weights,
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""Launch Goliath FP8 fused dequant-matmul kernel."""
M, K = activations.shape
_, N = weights.shape
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
w_data = weights.data.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_t = bias.contiguous().float()
else:
bias_t = torch.empty(0, device=a.device, dtype=torch.float32)
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_goliath_fp8_kernel[grid](
a, w_data, w_scales, out, bias_t,
M, N, K,
a.stride(0), a.stride(1),
w_data.stride(0), w_data.stride(1),
w_scales.stride(0), w_scales.stride(1),
out.stride(0), out.stride(1),
HAS_BIAS=has_bias,
)
return out
# =============================================================================
# dot_scaled Wrapper + Probe
# =============================================================================
def _goliath_fp4_dot_scaled_matmul(
activations: torch.Tensor,
weights: GoliathFP4NativeWeights,
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""Launch Goliath FP4 dot_scaled kernel (native MXFP4 tensor cores)."""
M, K = activations.shape
_, N = weights.shape
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
w_packed = weights.packed_col_major.contiguous() # [N, K//2]
w_scales = weights.scales_e8m0.contiguous() # [N, K//32]
out = torch.empty(M, N, device=a.device, dtype=torch.bfloat16)
has_bias = bias is not None
if has_bias:
bias_t = bias.contiguous().float()
else:
bias_t = torch.empty(0, device=a.device, dtype=torch.float32)
grid = lambda META: (
triton.cdiv(M, META['BLOCK_M']),
triton.cdiv(N, META['BLOCK_N']),
)
_goliath_fp4_dot_scaled_kernel[grid](
a, w_packed, w_scales, out, bias_t,
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
# Cached probe result
_DOT_SCALED_PROBE_RESULT: Optional[bool] = None
def _can_use_goliath_dot_scaled() -> bool:
"""Probe whether tl.dot_scaled maps to real FP4 tensor cores.
Checks:
1. SM >= 10.0 (Blackwell or later)
2. tl.dot_scaled exists in Triton
3. Runtime probe: run a small matmul with both the manual-dequant kernel
and the dot_scaled kernel. If outputs are bit-identical, Triton is
falling back to BF16 MMA β return False. If outputs differ with
rel_err < 0.15 β native FP4 TCs are active β return True.
"""
global _DOT_SCALED_PROBE_RESULT
if _DOT_SCALED_PROBE_RESULT is not None:
return _DOT_SCALED_PROBE_RESULT
_DOT_SCALED_PROBE_RESULT = False
# Check 1: SM capability
if not torch.cuda.is_available():
return False
cap = torch.cuda.get_device_capability(0)
if cap[0] < 10:
return False
# Check 2: Triton API
if not hasattr(tl, 'dot_scaled'):
return False
# Check 3: Runtime probe with small matmul
try:
M, N, K = 64, 64, 64
torch.manual_seed(42)
w_f = torch.randn(K, N, device='cuda', dtype=torch.float32)
a = torch.randn(M, K, device='cuda', dtype=torch.bfloat16)
# Quantize via Goliath FP4
w_q = GoliathFP4Weights.from_float(w_f)
# Path A: manual dequant kernel
out_manual = _goliath_fp4_matmul(a, w_q)
# Path B: dot_scaled kernel
w_native = GoliathFP4NativeWeights.from_goliath_fp4(w_q)
out_scaled = _goliath_fp4_dot_scaled_matmul(a, w_native)
# Compare
if torch.equal(out_manual, out_scaled):
# Bit-identical β Triton using BF16 fallback
_DOT_SCALED_PROBE_RESULT = False
else:
ref = out_manual.float()
diff = (out_scaled.float() - ref).abs().mean()
rel_err = diff / ref.abs().mean().clamp(min=1e-10)
_DOT_SCALED_PROBE_RESULT = rel_err.item() < 0.15
except Exception:
_DOT_SCALED_PROBE_RESULT = False
return _DOT_SCALED_PROBE_RESULT
# =============================================================================
# Auto-dispatch: FP4 vs FP8 selection
# =============================================================================
def _estimate_accuracy_need(weights: torch.Tensor) -> int:
"""
Estimate whether FP4 or FP8 is appropriate for these weights.
Heuristic: if the weight distribution has high kurtosis (heavy tails)
or many outliers, FP8 preserves more fidelity. Otherwise FP4 suffices.
Returns:
4 for FP4, 8 for FP8
"""
w = weights.float()
absmax = w.abs().max()
mean_abs = w.abs().mean()
# Outlier ratio: if max >> mean, distribution has heavy tails
outlier_ratio = absmax / mean_abs.clamp(min=1e-10)
# High kurtosis β FP8 for better tail representation
if outlier_ratio > 20.0:
return 8
# Check what fraction of values fall outside FP4 representable range
# after scaling. FP4 has only 16 levels β coarse quantization.
std = w.std()
# If std is very small relative to max, distribution is spiky β FP8
if std / absmax.clamp(min=1e-10) < 0.05:
return 8
return 4
# =============================================================================
# Public API
# =============================================================================
def goliath_quantize(
weights: torch.Tensor,
bits: Union[int, str] = 4,
training: bool = False,
sr_seed: Optional[int] = None,
compute_residual: bool = False,
) -> GoliathWeights:
"""
Quantize weights for Goliath fused GEMM.
Args:
weights: Input tensor [K, N] in any float dtype
bits: 4 for FP4, 8 for FP8, 'auto' for automatic selection
training: If True, use stochastic rounding for unbiased quantization
sr_seed: Seed for stochastic rounding RNG
compute_residual: Compute FP8 residual correction for FP4 weights (double-buff)
Returns:
GoliathFP4Weights or GoliathFP8Weights
"""
if bits == 'auto':
bits = _estimate_accuracy_need(weights)
if bits == 4:
return GoliathFP4Weights.from_float(weights, training=training, sr_seed=sr_seed,
compute_residual=compute_residual)
elif bits == 8:
return GoliathFP8Weights.from_float(weights)
else:
raise ValueError(f"bits must be 4, 8, or 'auto', got {bits}")
# =============================================================================
# Goliath Multi-Expert Fused Kernel (all active experts in ONE launch)
# =============================================================================
#
# For MoE single-token decode: instead of launching N separate Goliath kernels
# (one per active expert), this kernel processes ALL active experts' matmuls
# in a single kernel launch. Grid dim 0 = expert index, dim 1 = output col tiles.
# Each expert has its own packed weight, block_scales, and tensor_scale.
#
# This eliminates kernel launch overhead which dominates at M=1:
# - Before: 8 experts Γ 2 projections = 16 launches per MoE layer Γ 48 = 768
# - After: 1 launch for gate_up + 1 launch for down = 2 per layer Γ 48 = 96
#
MAX_EXPERTS: int = 16 # max active experts per launch (Qwen3: 8)
@triton.jit
def _goliath_fp4_multi_expert_kernel(
a_ptr, # [E*M, K] or [M, K] activations
# Expert weight pointers (padded to MAX_EXPERTS)
w0_ptr, w1_ptr, w2_ptr, w3_ptr, w4_ptr, w5_ptr, w6_ptr, w7_ptr,
# Expert scale pointers
s0_ptr, s1_ptr, s2_ptr, s3_ptr, s4_ptr, s5_ptr, s6_ptr, s7_ptr,
# Per-expert tensor scales (passed as array in global memory)
tscale_ptr,
out_ptr, # [num_experts, M, N] output (expert-batched)
M, N, K,
num_experts,
stride_am, stride_ak,
stride_wk, stride_wn,
stride_sk, stride_sn,
stride_oe, stride_om, stride_on,
a_expert_stride, # 0 = shared input, >0 = per-expert input (row offset)
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""Multi-expert FP4 fused dequant-matmul: all experts in ONE launch.
When a_expert_stride=0: all experts share the same input (gate_up case).
When a_expert_stride>0: each expert reads from row pid_expert*M of a_ptr (down case).
"""
pid_expert = tl.program_id(0)
pid_n = tl.program_id(1)
if pid_expert >= num_experts:
return
# Per-expert activation offset
a_base = a_ptr + pid_expert * a_expert_stride
# Select weight pointer for this expert
w_packed_ptr = w0_ptr
w_scales_ptr = s0_ptr
if pid_expert == 1:
w_packed_ptr = w1_ptr; w_scales_ptr = s1_ptr
elif pid_expert == 2:
w_packed_ptr = w2_ptr; w_scales_ptr = s2_ptr
elif pid_expert == 3:
w_packed_ptr = w3_ptr; w_scales_ptr = s3_ptr
elif pid_expert == 4:
w_packed_ptr = w4_ptr; w_scales_ptr = s4_ptr
elif pid_expert == 5:
w_packed_ptr = w5_ptr; w_scales_ptr = s5_ptr
elif pid_expert == 6:
w_packed_ptr = w6_ptr; w_scales_ptr = s6_ptr
elif pid_expert == 7:
w_packed_ptr = w7_ptr; w_scales_ptr = s7_ptr
tensor_scale = tl.load(tscale_ptr + pid_expert)
offs_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):
even_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
a_even_ptrs = a_base + offs_m[:, None] * stride_am + even_k[None, :] * stride_ak
a_odd_ptrs = a_base + offs_m[:, None] * stride_am + odd_k[None, :] * stride_ak
mask_ae = (offs_m[:, None] < M) & (even_k[None, :] < K)
mask_ao = (offs_m[:, None] < M) & (odd_k[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_ae, other=0.0)
a_odd = tl.load(a_odd_ptrs, mask=mask_ao, other=0.0)
pk_start = k_start // 2
offs_pk = pk_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_pk[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_pk[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
low_f = _e2m1_decode(packed & 0xF)
high_f = _e2m1_decode((packed >> 4) & 0xF)
scale_start = k_start // 16
offs_local = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local // 8
scale_bc = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_mask = (sg_row < (K // 16)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_mask, other=0).to(tl.int32)
sg_val = _decode_e4m3_triton(sg_raw) * tensor_scale
sg_match = (group_idx == sg)
scale_bc = tl.where(sg_match[:, None], sg_val[None, :], scale_bc)
w_even = (low_f * scale_bc).to(tl.bfloat16)
w_odd = (high_f * scale_bc).to(tl.bfloat16)
acc += tl.dot(a_even.to(tl.bfloat16), w_even)
acc += tl.dot(a_odd.to(tl.bfloat16), w_odd)
# Store to expert-batched output [num_experts, M, N]
out_ptrs = out_ptr + pid_expert * stride_oe + 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)
def goliath_multi_expert_gemm(
activations: torch.Tensor,
expert_weights: list,
num_experts: int = 8,
per_expert_input: bool = False,
) -> torch.Tensor:
"""
Fused multi-expert FP4 GEMM: all experts in ONE kernel launch.
Args:
activations: Input in BF16.
If per_expert_input=False: [M, K] shared across all experts (gate_up case)
If per_expert_input=True: [num_experts*M, K] stacked per-expert inputs (down case)
expert_weights: List of GoliathFP4Weights (one per active expert)
num_experts: Number of active experts
per_expert_input: If True, each expert reads from its own M rows of activations
Returns:
Output [num_experts, M, N] in BF16
"""
assert num_experts <= MAX_EXPERTS, f"max {MAX_EXPERTS} experts, got {num_experts}"
assert all(isinstance(w, GoliathFP4Weights) for w in expert_weights)
_, N = expert_weights[0].shape
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
if per_expert_input:
# activations is [num_experts*M, K], each expert gets M rows
total_rows, K = a.shape
M = total_rows // num_experts
a_expert_stride = M * a.stride(0) # byte offset between expert inputs
else:
M, K = a.shape
a_expert_stride = 0 # shared input
out = torch.empty(num_experts, M, N, device=a.device, dtype=torch.bfloat16)
# Collect tensor scales into a GPU tensor
tscales = torch.tensor(
[w.tensor_scale for w in expert_weights],
dtype=torch.float32, device=a.device)
packed_ptrs = [w.packed.contiguous() for w in expert_weights]
scale_ptrs = [w.block_scales.contiguous() for w in expert_weights]
# Pad to 8 with dummy (first expert repeated)
while len(packed_ptrs) < 8:
packed_ptrs.append(packed_ptrs[0])
scale_ptrs.append(scale_ptrs[0])
grid = (num_experts, triton.cdiv(N, 64))
_goliath_fp4_multi_expert_kernel[grid](
a,
packed_ptrs[0], packed_ptrs[1], packed_ptrs[2], packed_ptrs[3],
packed_ptrs[4], packed_ptrs[5], packed_ptrs[6], packed_ptrs[7],
scale_ptrs[0], scale_ptrs[1], scale_ptrs[2], scale_ptrs[3],
scale_ptrs[4], scale_ptrs[5], scale_ptrs[6], scale_ptrs[7],
tscales, out,
M, N, K, num_experts,
a.stride(0), a.stride(1),
packed_ptrs[0].stride(0), packed_ptrs[0].stride(1),
scale_ptrs[0].stride(0), scale_ptrs[0].stride(1),
out.stride(0), out.stride(1), out.stride(2),
a_expert_stride,
BLOCK_M=16, BLOCK_N=64, BLOCK_K=128,
)
return out
def goliath_gemm(
activations: torch.Tensor,
weights: GoliathWeights,
bias: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""
Goliath fused dequant-matmul GEMM.
Automatically dispatches to FP4 or FP8 kernel based on weight type.
All dequantization happens in Triton registers β zero extra memory traffic.
Args:
activations: Input [M, K] in BF16/FP16/FP32
weights: GoliathFP4Weights or GoliathFP8Weights
bias: Optional bias [N]
Returns:
Output [M, N] in BF16
"""
if not activations.is_cuda:
# CPU fallback
w_deq = weights.to_float()
d = torch.matmul(activations.float(), w_deq)
if bias is not None:
d = d + bias.float()
return d.to(torch.bfloat16)
if isinstance(weights, GoliathFP4Weights):
return _goliath_fp4_matmul(activations, weights, bias)
elif isinstance(weights, GoliathFP8Weights):
return _goliath_fp8_matmul(activations, weights, bias)
else:
raise TypeError(f"Expected GoliathFP4Weights or GoliathFP8Weights, got {type(weights)}")
# =============================================================================
# Packed MoE Kernel β contiguous expert buffer + GPU-resident expert IDs
# =============================================================================
#
# Instead of passing 8 separate weight pointers, pack ALL 128 experts' FP4
# weights into contiguous [E, K//2, N] buffers. Expert selection reads from
# a GPU tensor β zero .item() calls, zero CPU-GPU sync, CUDA-graph-safe.
#
# Benefits over goliath_multi_expert_gemm:
# 1. No .item() calls (8 per layer Γ 48 layers = 384 CPU syncs eliminated)
# 2. No Python weight-collection loops (~100ΞΌs Γ 48 layers saved)
# 3. CUDA-graph-capturable (all inputs are static-address GPU tensors)
# 4. Better L2 locality from contiguous weight storage
#
@triton.jit
def _goliath_fp4_packed_moe_kernel(
a_ptr, # [M, K] or [num_active*M, K] activations
packed_w_ptr, # [E_total, K//2, N] contiguous FP4 weights
packed_s_ptr, # [E_total, K//16, N] contiguous FP8 scales
tscale_ptr, # [E_total] tensor scales (float32)
expert_ids_ptr, # [num_active] selected expert indices (GPU tensor!)
out_ptr, # [num_active, M, N] output
M, N, K,
num_active, # number of active experts (e.g. 8)
stride_ew, # expert stride for packed weights (K//2 * N)
stride_wk, stride_wn,
stride_es, # expert stride for packed scales (K//16 * N)
stride_sk, stride_sn,
stride_oe, stride_om, stride_on,
stride_am, stride_ak,
a_expert_stride, # 0 = shared input, >0 = per-expert activation stride
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""Packed MoE FP4 fused dequant-matmul: GPU-resident expert selection.
Grid: (num_active, ceil(N/BLOCK_N), ceil(M/BLOCK_M))
Each program handles one active expert's matmul for one tile of output rows Γ columns.
Expert IDs are read from a GPU tensor β no CPU involvement.
"""
pid_active = tl.program_id(0) # which active expert (0..num_active-1)
pid_n = tl.program_id(1) # output column tile
pid_m = tl.program_id(2) # output row tile
if pid_active >= num_active:
return
# Read expert index from GPU tensor (NO .item()!)
expert_id = tl.load(expert_ids_ptr + pid_active)
# Compute base pointers for this expert
w_packed_ptr = packed_w_ptr + expert_id * stride_ew
w_scales_ptr = packed_s_ptr + expert_id * stride_es
tensor_scale = tl.load(tscale_ptr + expert_id)
# Activation base (shared or per-expert)
a_base = a_ptr + pid_active * a_expert_stride
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):
even_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
a_even_ptrs = a_base + offs_m[:, None] * stride_am + even_k[None, :] * stride_ak
a_odd_ptrs = a_base + offs_m[:, None] * stride_am + odd_k[None, :] * stride_ak
mask_ae = (offs_m[:, None] < M) & (even_k[None, :] < K)
mask_ao = (offs_m[:, None] < M) & (odd_k[None, :] < K)
a_even = tl.load(a_even_ptrs, mask=mask_ae, other=0.0)
a_odd = tl.load(a_odd_ptrs, mask=mask_ao, other=0.0)
pk_start = k_start // 2
offs_pk = pk_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_pk[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_pk[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
low_f = _e2m1_decode(packed & 0xF)
high_f = _e2m1_decode((packed >> 4) & 0xF)
scale_start = k_start // 16
offs_local = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local // 8
scale_bc = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_mask = (sg_row < (K // 16)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_mask, other=0).to(tl.int32)
sg_val = _decode_e4m3_triton(sg_raw) * tensor_scale
sg_match = (group_idx == sg)
scale_bc = tl.where(sg_match[:, None], sg_val[None, :], scale_bc)
w_even = (low_f * scale_bc).to(tl.bfloat16)
w_odd = (high_f * scale_bc).to(tl.bfloat16)
acc += tl.dot(a_even.to(tl.bfloat16), w_even)
acc += tl.dot(a_odd.to(tl.bfloat16), w_odd)
# Store to expert-batched output [num_active, M, N]
out_ptrs = out_ptr + pid_active * stride_oe + 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)
def goliath_packed_moe_gemm(
activations: torch.Tensor,
packed_w: torch.Tensor, # [E_total, K//2, N] uint8
packed_s: torch.Tensor, # [E_total, K//16, N] uint8
packed_ts: torch.Tensor, # [E_total] float32
expert_ids: torch.Tensor, # [num_active] int64 on GPU
num_active: int = 8,
per_expert_input: bool = False,
) -> torch.Tensor:
"""Packed MoE FP4 GEMM: contiguous expert buffer + GPU-resident expert IDs.
All expert selection happens on GPU β zero .item() calls, CUDA-graph-safe.
Args:
activations: Input in BF16.
If per_expert_input=False: [M, K] shared across all experts
If per_expert_input=True: [num_active*M, K] stacked per-expert inputs
packed_w: [E_total, K//2, N] contiguous packed FP4 weights for all experts
packed_s: [E_total, K//16, N] contiguous FP8 block scales
packed_ts: [E_total] per-expert tensor scales (float32)
expert_ids: [num_active] selected expert indices (GPU tensor, int64)
num_active: Number of active experts
per_expert_input: If True, each expert reads from its own M rows
Returns:
Output [num_active, M, N] in BF16
"""
N = packed_w.shape[2] # N is the last dim of packed weights
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
if per_expert_input:
total_rows, K = a.shape
M = total_rows // num_active
a_expert_stride = M * a.stride(0)
else:
M, K = a.shape
a_expert_stride = 0
out = torch.empty(num_active, M, N, device=a.device, dtype=torch.bfloat16)
BLOCK_M = 16
BLOCK_N = 64
grid = (num_active, triton.cdiv(N, BLOCK_N), triton.cdiv(M, BLOCK_M))
_goliath_fp4_packed_moe_kernel[grid](
a,
packed_w, packed_s, packed_ts,
expert_ids,
out,
M, N, K,
num_active,
packed_w.stride(0), # stride_ew
packed_w.stride(1), packed_w.stride(2), # stride_wk, stride_wn
packed_s.stride(0), # stride_es
packed_s.stride(1), packed_s.stride(2), # stride_sk, stride_sn
out.stride(0), out.stride(1), out.stride(2),
a.stride(0), a.stride(1),
a_expert_stride,
BLOCK_M=BLOCK_M, BLOCK_N=BLOCK_N, BLOCK_K=128,
)
return out
# =============================================================================
# Fused SwiGLU + Down Projection β Eliminates Intermediate Tensor
# =============================================================================
#
# Instead of: gate_up β split β SiLU*up β down_proj (3 kernel launches)
# We do: gate_up β fused_swiglu_down (2 kernel launches, no hidden tensor)
#
# The key insight: apply SwiGLU as input preprocessing in the down_proj kernel,
# reading gate_up output and applying SiLU(gate)*up inline before GEMM.
@triton.jit
def _goliath_fp4_swiglu_down_kernel(
gate_up_ptr, # [num_active, M, 2*intermediate] gate_up output (BF16)
packed_w_ptr, # [E_total, K//2, N] down_proj FP4 weights (K=intermediate)
packed_s_ptr, # [E_total, K//16, N] down_proj FP8 scales
tscale_ptr, # [E_total] tensor scales (float32)
expert_ids_ptr, # [num_active] selected expert indices (GPU tensor)
out_ptr, # [num_active, M, N] output
M, N, K, # K = intermediate_size, N = dim
num_active,
inter_size, # intermediate_size (K)
stride_ge, stride_gm, stride_gk, # gate_up strides
stride_ew, stride_wk, stride_wn,
stride_es, stride_sk, stride_sn,
stride_oe, stride_om, stride_on,
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""Fused SwiGLU + FP4 down_proj GEMM.
Reads gate_up output [num_active, M, 2*inter], applies SiLU(gate)*up inline,
then performs FP4 GEMM with down_proj weights. Eliminates hidden tensor write/read.
"""
pid_active = tl.program_id(0)
pid_n = tl.program_id(1)
if pid_active >= num_active:
return
expert_id = tl.load(expert_ids_ptr + pid_active)
w_packed_ptr = packed_w_ptr + expert_id * stride_ew
w_scales_ptr = packed_s_ptr + expert_id * stride_es
tensor_scale = tl.load(tscale_ptr + expert_id)
gate_up_base = gate_up_ptr + pid_active * stride_ge
offs_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):
even_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2
odd_k = k_start + tl.arange(0, HALF_BLOCK_K) * 2 + 1
# Load gate (from first half) and up (from second half)
gate_even_ptrs = gate_up_base + offs_m[:, None] * stride_gm + even_k[None, :] * stride_gk
gate_odd_ptrs = gate_up_base + offs_m[:, None] * stride_gm + odd_k[None, :] * stride_gk
up_even_ptrs = gate_up_base + offs_m[:, None] * stride_gm + (inter_size + even_k[None, :]) * stride_gk
up_odd_ptrs = gate_up_base + offs_m[:, None] * stride_gm + (inter_size + odd_k[None, :]) * stride_gk
mask_e = (offs_m[:, None] < M) & (even_k[None, :] < K)
mask_o = (offs_m[:, None] < M) & (odd_k[None, :] < K)
gate_even = tl.load(gate_even_ptrs, mask=mask_e, other=0.0).to(tl.float32)
gate_odd = tl.load(gate_odd_ptrs, mask=mask_o, other=0.0).to(tl.float32)
up_even = tl.load(up_even_ptrs, mask=mask_e, other=0.0).to(tl.float32)
up_odd = tl.load(up_odd_ptrs, mask=mask_o, other=0.0).to(tl.float32)
# Apply SiLU(gate) * up inline
a_even = (tl.sigmoid(gate_even) * gate_even * up_even).to(tl.bfloat16)
a_odd = (tl.sigmoid(gate_odd) * gate_odd * up_odd).to(tl.bfloat16)
# Load FP4 down_proj weights
pk_start = k_start // 2
offs_pk = pk_start + tl.arange(0, HALF_BLOCK_K)
w_ptrs = w_packed_ptr + offs_pk[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_pk[:, None] < (K // 2)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
low_f = _e2m1_decode(packed & 0xF)
high_f = _e2m1_decode((packed >> 4) & 0xF)
scale_start = k_start // 16
offs_local = tl.arange(0, HALF_BLOCK_K)
group_idx = offs_local // 8
scale_bc = tl.zeros((HALF_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_mask = (sg_row < (K // 16)) & (offs_n < N)
sg_raw = tl.load(sg_ptrs, mask=sg_mask, other=0).to(tl.int32)
sg_val = _decode_e4m3_triton(sg_raw) * tensor_scale
sg_match = (group_idx == sg)
scale_bc = tl.where(sg_match[:, None], sg_val[None, :], scale_bc)
w_even = (low_f * scale_bc).to(tl.bfloat16)
w_odd = (high_f * scale_bc).to(tl.bfloat16)
acc += tl.dot(a_even, w_even)
acc += tl.dot(a_odd, w_odd)
out_ptrs = out_ptr + pid_active * stride_oe + 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)
def goliath_packed_moe_swiglu_down(
gate_up_output: torch.Tensor, # [num_active, M, 2*inter] from gate_up GEMM
packed_w: torch.Tensor, # [E_total, K//2, N] down_proj FP4 weights
packed_s: torch.Tensor, # [E_total, K//16, N] down_proj FP8 scales
packed_ts: torch.Tensor, # [E_total] tensor scales
expert_ids: torch.Tensor, # [num_active] on GPU
intermediate_size: int, # K for down_proj
num_active: int = 8,
) -> torch.Tensor:
"""Fused SwiGLU + FP4 down_proj GEMM.
Takes gate_up output, applies SiLU(gate)*up inline, performs down_proj.
Eliminates the hidden tensor write/read cycle.
Args:
gate_up_output: [num_active, M, 2*intermediate] output from gate_up GEMM
packed_w: Down projection FP4 weights [E_total, K//2, N]
packed_s: Down projection FP8 block scales
packed_ts: Down projection tensor scales
expert_ids: Selected expert indices on GPU
intermediate_size: K dimension (matches gate_up output's second half)
num_active: Number of active experts
Returns:
[num_active, M, N] final output
"""
num_active_in, M, gu_dim = gate_up_output.shape
assert gu_dim == 2 * intermediate_size, f"gate_up dim {gu_dim} != 2*{intermediate_size}"
K = intermediate_size
_, _, N = packed_w.shape[0], packed_w.shape[1] * 2, packed_w.shape[2]
# N is the output dim (dim), K is intermediate_size
gate_up = gate_up_output.contiguous()
if gate_up.dtype != torch.bfloat16:
gate_up = gate_up.to(torch.bfloat16)
out = torch.empty(num_active, M, N, device=gate_up.device, dtype=torch.bfloat16)
grid = (num_active, triton.cdiv(N, 64))
_goliath_fp4_swiglu_down_kernel[grid](
gate_up,
packed_w, packed_s, packed_ts, expert_ids,
out,
M, N, K,
num_active,
intermediate_size,
gate_up.stride(0), gate_up.stride(1), gate_up.stride(2),
packed_w.stride(0), packed_w.stride(1), packed_w.stride(2),
packed_s.stride(0), packed_s.stride(1), packed_s.stride(2),
out.stride(0), out.stride(1), out.stride(2),
BLOCK_M=1 if M == 1 else 16,
BLOCK_N=64,
BLOCK_K=32,
)
return out
# =============================================================================
# INT2 Packed MoE Kernel β For Cold Experts (2x smaller than FP4)
# =============================================================================
#
# Same structure as FP4 packed MoE kernel, but with 2-bit unpacking.
# 4 weights per byte instead of 2 = 2x less bandwidth for cold experts.
#
@triton.jit
def _goliath_int2_packed_moe_kernel(
a_ptr, # [M, K] or [num_active*M, K] activations
packed_w_ptr, # [E_total, K//4, N] contiguous INT2 weights (4 per byte)
packed_s_ptr, # [E_total, K//32, N] contiguous FP16 scales
expert_ids_ptr, # [num_active] selected expert indices (GPU tensor)
out_ptr, # [num_active, M, N] output
M, N, K,
num_active,
stride_ew, # expert stride for packed weights (K//4 * N)
stride_wk, stride_wn,
stride_es, # expert stride for packed scales (K//32 * N)
stride_sk, stride_sn,
stride_oe, stride_om, stride_on,
stride_am, stride_ak,
a_expert_stride, # 0 = shared input, >0 = per-expert activation stride
BLOCK_M: tl.constexpr,
BLOCK_N: tl.constexpr,
BLOCK_K: tl.constexpr,
):
"""Packed MoE INT2 fused dequant-matmul: GPU-resident expert selection.
Similar to FP4 kernel but unpacks 4 weights per byte instead of 2.
Used for cold experts where 2-bit precision is acceptable.
"""
pid_active = tl.program_id(0)
pid_n = tl.program_id(1)
if pid_active >= num_active:
return
expert_id = tl.load(expert_ids_ptr + pid_active)
w_packed_ptr = packed_w_ptr + expert_id * stride_ew
w_scales_ptr = packed_s_ptr + expert_id * stride_es
a_base = a_ptr + pid_active * a_expert_stride
offs_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)
# INT2: 4 weights per byte, so QUARTER_BLOCK_K
QUARTER_BLOCK_K: tl.constexpr = BLOCK_K // 4
SCALES_PER_TILE: tl.constexpr = BLOCK_K // 32
for k_start in range(0, K, BLOCK_K):
# Load packed INT2 weights [QUARTER_BLOCK_K, BLOCK_N]
pk_start = k_start // 4
offs_pk = pk_start + tl.arange(0, QUARTER_BLOCK_K)
w_ptrs = w_packed_ptr + offs_pk[:, None] * stride_wk + offs_n[None, :] * stride_wn
mask_w = (offs_pk[:, None] < (K // 4)) & (offs_n[None, :] < N)
packed = tl.load(w_ptrs, mask=mask_w, other=0).to(tl.int32)
# Unpack 4 weights per byte: {0,1,2,3} -> {-2,-1,0,1}
w0 = ((packed >> 0) & 0x3).to(tl.float32) - 2.0 # [QUARTER_BLOCK_K, BLOCK_N]
w1 = ((packed >> 2) & 0x3).to(tl.float32) - 2.0
w2 = ((packed >> 4) & 0x3).to(tl.float32) - 2.0
w3 = ((packed >> 6) & 0x3).to(tl.float32) - 2.0
# Load FP16 scales [SCALES_PER_TILE groups, each covers 32 elements]
scale_start = k_start // 32
offs_local_k = tl.arange(0, QUARTER_BLOCK_K) # Each packed byte covers 4 elements
scale_bc = tl.zeros((QUARTER_BLOCK_K, BLOCK_N), dtype=tl.float32)
for sg in tl.static_range(0, SCALES_PER_TILE):
sg_row = scale_start + sg
sg_ptrs = w_scales_ptr + sg_row * stride_sk + offs_n * stride_sn
sg_mask = (sg_row < (K // 32)) & (offs_n < N)
sg_val = tl.load(sg_ptrs, mask=sg_mask, other=1.0).to(tl.float32)
sg_match = (offs_local_k // 8 == sg)
scale_bc = tl.where(sg_match[:, None], sg_val[None, :], scale_bc)
# Apply scales to unpacked weights
w0_scaled = (w0 * scale_bc).to(tl.bfloat16)
w1_scaled = (w1 * scale_bc).to(tl.bfloat16)
w2_scaled = (w2 * scale_bc).to(tl.bfloat16)
w3_scaled = (w3 * scale_bc).to(tl.bfloat16)
# Load activations with stride-4 pattern (Triton doesn't support ::4 slicing)
# Each packed INT2 byte covers 4 consecutive K elements: [4i, 4i+1, 4i+2, 4i+3]
offs_qk = tl.arange(0, QUARTER_BLOCK_K)
mask_a_qk = (offs_m[:, None] < M) & ((k_start + offs_qk[None, :] * 4) < K)
a0 = tl.load(a_base + offs_m[:, None] * stride_am + (k_start + offs_qk[None, :] * 4 + 0) * stride_ak,
mask=mask_a_qk, other=0.0).to(tl.bfloat16)
a1 = tl.load(a_base + offs_m[:, None] * stride_am + (k_start + offs_qk[None, :] * 4 + 1) * stride_ak,
mask=mask_a_qk, other=0.0).to(tl.bfloat16)
a2 = tl.load(a_base + offs_m[:, None] * stride_am + (k_start + offs_qk[None, :] * 4 + 2) * stride_ak,
mask=mask_a_qk, other=0.0).to(tl.bfloat16)
a3 = tl.load(a_base + offs_m[:, None] * stride_am + (k_start + offs_qk[None, :] * 4 + 3) * stride_ak,
mask=mask_a_qk, other=0.0).to(tl.bfloat16)
acc += tl.dot(a0, w0_scaled)
acc += tl.dot(a1, w1_scaled)
acc += tl.dot(a2, w2_scaled)
acc += tl.dot(a3, w3_scaled)
out_ptrs = out_ptr + pid_active * stride_oe + 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)
def goliath_packed_moe_int2_gemm(
activations: torch.Tensor,
packed_w: torch.Tensor, # [E_total, K//4, N] uint8 (4 weights per byte)
packed_s: torch.Tensor, # [E_total, K//32, N] float16
expert_ids: torch.Tensor, # [num_active] int64 on GPU
num_active: int = 8,
per_expert_input: bool = False,
) -> torch.Tensor:
"""Packed MoE INT2 GEMM: 2-bit weights for cold experts.
2x smaller than FP4 = 2x less bandwidth. Use for rarely-routed experts.
Args:
activations: Input in BF16. [M, K] or [num_active*M, K]
packed_w: [E_total, K//4, N] INT2 packed weights
packed_s: [E_total, K//32, N] FP16 block scales
expert_ids: [num_active] selected expert indices on GPU
num_active: Number of active experts
per_expert_input: If True, each expert reads from its own M rows
Returns:
Output [num_active, M, N] in BF16
"""
N = packed_w.shape[2]
a = activations.contiguous()
if a.dtype != torch.bfloat16:
a = a.to(torch.bfloat16)
if per_expert_input:
total_rows, K = a.shape
M = total_rows // num_active
a_expert_stride = M * a.stride(0)
else:
M, K = a.shape
a_expert_stride = 0
out = torch.empty(num_active, M, N, device=a.device, dtype=torch.bfloat16)
grid = (num_active, triton.cdiv(N, 64))
_goliath_int2_packed_moe_kernel[grid](
a,
packed_w, packed_s,
expert_ids,
out,
M, N, K,
num_active,
packed_w.stride(0),
packed_w.stride(1), packed_w.stride(2),
packed_s.stride(0),
packed_s.stride(1), packed_s.stride(2),
out.stride(0), out.stride(1), out.stride(2),
a.stride(0), a.stride(1),
a_expert_stride,
BLOCK_M=16 if M > 1 else 1,
BLOCK_N=64,
BLOCK_K=128,
)
return out
def pack_experts_int2(
expert_weights: list, # List of GoliathINT2Weights
) -> Tuple[torch.Tensor, torch.Tensor]:
"""Pack INT2 expert weights into contiguous buffers.
Args:
expert_weights: List of GoliathINT2Weights (one per expert)
Returns:
packed_w: [E, K//4, N] contiguous INT2 weights
packed_s: [E, K//32, N] contiguous FP16 scales
"""
E = len(expert_weights)
K, N = expert_weights[0].shape
device = expert_weights[0].packed.device
packed_w = torch.zeros(E, K // 4, N, dtype=torch.uint8, device=device)
packed_s = torch.zeros(E, K // 32, N, dtype=torch.float16, device=device)
for i, w in enumerate(expert_weights):
packed_w[i] = w.packed
packed_s[i] = w.block_scales
return packed_w, packed_s
# =============================================================================
# FE-XC (FireEcho Xtreme Compress) β Codebook 2-bit with CodeGEMM Psumbook
# =============================================================================
def fexc_precompute_psumbook(
codebooks: torch.Tensor, # [2, 256, 8] float16
x: torch.Tensor, # [N] or [1, N] bfloat16 β single token input
) -> torch.Tensor:
"""Precompute psumbook: dot products of all codebook centroids with input groups.
psumbook[m, c, j] = dot(codebooks[m][c], x[j*8:(j+1)*8])
This is computed ONCE per token and reused across all 8 active experts.
For N=2048: psumbook is [2, 256, 256] float32 = 512KB.
Args:
codebooks: [2, 256, 8] float16 β shared codebooks for this layer
x: [N] or [1, N] input vector
Returns:
psumbook: [2, 256, N//8] float32
"""
x_flat = x.view(-1).float() # [N]
N = x_flat.shape[0]
g = 8
x_groups = x_flat.view(N // g, g) # [N//8, 8]
cb = codebooks.float() # [2, 256, 8]
# Batched matmul: [2, 256, 8] Γ [8, N//8] β [2, 256, N//8]
psumbook = torch.bmm(cb, x_groups.T.unsqueeze(0).expand(2, -1, -1))
return psumbook # [2, 256, N//8] float32
@triton.jit
def _goliath_fexc_packed_moe_kernel(
psumbook_ptr, # [2, 256, num_groups] float32 β precomputed partial sums
codes_ptr, # [E_total, K, num_groups, 2] uint8 β codebook indices
scales_ptr, # [E_total, K] float16 β per-output-channel scales
expert_ids_ptr, # [num_active] int64 β selected expert indices (GPU tensor)
out_ptr, # [num_active, K] float32 output (M=1 only)
K: tl.constexpr,
num_groups: tl.constexpr, # N // 8
num_active,
stride_ec, # expert stride for codes: K * num_groups * 2
stride_ck, # code stride per output row: num_groups * 2
stride_cg, # code stride per group: 2
stride_es, # expert stride for scales: K
stride_oe, # output expert stride: K
BLOCK_K: tl.constexpr,
BLOCK_G: tl.constexpr,
):
"""FE-XC packed MoE kernel: CodeGEMM-style psumbook gather for M=1.
For each active expert and each output row, gathers precomputed partial
sums from psumbook using codebook indices. This replaces the traditional
dequant-matmul with scalar gather+add operations.
Grid: (num_active, ceil(K / BLOCK_K))
"""
pid_expert = tl.program_id(0)
pid_k = tl.program_id(1)
if pid_expert >= num_active:
return
expert_id = tl.load(expert_ids_ptr + pid_expert)
offs_k = pid_k * BLOCK_K + tl.arange(0, BLOCK_K)
mask_k = offs_k < K
# Accumulator for output values [BLOCK_K]
acc = tl.zeros((BLOCK_K,), dtype=tl.float32)
# Code base pointer for this expert
code_base = codes_ptr + expert_id * stride_ec
# Psumbook layout: [2, 256, num_groups] row-major
# psumbook[m, c, j] at offset: m * 256 * num_groups + c * num_groups + j
ps_stride_m = 256 * num_groups
ps_stride_c = num_groups
# Loop over input groups
for g_start in range(0, num_groups, BLOCK_G):
offs_g = g_start + tl.arange(0, BLOCK_G)
mask_g = offs_g < num_groups
# Load codes for [BLOCK_K, BLOCK_G, 2]
# codes[expert_id, k, g, 0] and codes[expert_id, k, g, 1]
code_ptrs_0 = code_base + offs_k[:, None] * stride_ck + offs_g[None, :] * stride_cg + 0
code_ptrs_1 = code_base + offs_k[:, None] * stride_ck + offs_g[None, :] * stride_cg + 1
mask_kg = mask_k[:, None] & mask_g[None, :]
codes_0 = tl.load(code_ptrs_0, mask=mask_kg, other=0).to(tl.int32) # [BLOCK_K, BLOCK_G]
codes_1 = tl.load(code_ptrs_1, mask=mask_kg, other=0).to(tl.int32)
# Gather from psumbook: psumbook[0, code0, g] + psumbook[1, code1, g]
ps_ptrs_0 = psumbook_ptr + 0 * ps_stride_m + codes_0 * ps_stride_c + offs_g[None, :]
ps_ptrs_1 = psumbook_ptr + 1 * ps_stride_m + codes_1 * ps_stride_c + offs_g[None, :]
ps_vals_0 = tl.load(ps_ptrs_0, mask=mask_kg, other=0.0) # [BLOCK_K, BLOCK_G]
ps_vals_1 = tl.load(ps_ptrs_1, mask=mask_kg, other=0.0)
# Accumulate partial sums across groups
acc += tl.sum(ps_vals_0 + ps_vals_1, axis=1) # reduce over BLOCK_G β [BLOCK_K]
# Apply per-output-channel scale
scale_ptrs = scales_ptr + expert_id * stride_es + offs_k
scales = tl.load(scale_ptrs, mask=mask_k, other=1.0).to(tl.float32)
acc = acc * scales
# Store output
out_ptrs = out_ptr + pid_expert * stride_oe + offs_k
tl.store(out_ptrs, acc.to(tl.bfloat16), mask=mask_k)
def goliath_packed_moe_fexc_gemm(
activations: torch.Tensor, # [M, N] bfloat16 (M=1 for decode)
packed_codes: torch.Tensor, # [E_total, K, N//8, 2] uint8
codebooks: torch.Tensor, # [2, 256, 8] float16 (shared per layer)
packed_scales: torch.Tensor, # [E_total, K] float16
expert_ids: torch.Tensor, # [num_active] int64 on GPU
psumbook: torch.Tensor = None, # [2, 256, N//8] float32 (precomputed, optional)
num_active: int = 8,
) -> torch.Tensor:
"""FE-XC packed MoE GEMM: codebook 2-bit with CodeGEMM psumbook.
Near-FP16 quality at 2 bits/weight. Precomputes psumbook once per token,
then uses scalar gather+add instead of dequant+matmul.
Args:
activations: [M, N] or [1, N] input in BF16
packed_codes: [E_total, K, N//8, 2] codebook indices
codebooks: [2, 256, 8] shared codebooks for this layer
packed_scales: [E_total, K] per-output-channel scales
expert_ids: [num_active] expert indices on GPU
psumbook: Precomputed [2, 256, N//8] (computed if None)
num_active: Number of active experts
Returns:
Output [num_active, 1, K] in BF16 (M=1)
"""
M, N = activations.shape
K = packed_codes.shape[1]
num_groups = N // 8
# Precompute psumbook if not provided
if psumbook is None:
psumbook = fexc_precompute_psumbook(codebooks, activations[0])
out = torch.empty(num_active, K, device=activations.device, dtype=torch.bfloat16)
BLOCK_K = min(64, K)
BLOCK_G = min(64, num_groups)
grid = (num_active, triton.cdiv(K, BLOCK_K))
_goliath_fexc_packed_moe_kernel[grid](
psumbook,
packed_codes,
packed_scales,
expert_ids,
out,
K, num_groups, num_active,
packed_codes.stride(0), # stride_ec
packed_codes.stride(1), # stride_ck
packed_codes.stride(2), # stride_cg
packed_scales.stride(0), # stride_es
out.stride(0), # stride_oe
BLOCK_K=BLOCK_K,
BLOCK_G=BLOCK_G,
)
return out.unsqueeze(1) # [num_active, 1, K]
def pack_experts_fexc(
expert_weights: list, # List of GoliathFEXCWeights
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
"""Pack FE-XC expert weights into contiguous buffers.
Args:
expert_weights: List of GoliathFEXCWeights (one per expert)
Returns:
packed_codes: [E, K, N//8, 2] contiguous uint8
packed_scales: [E, K] contiguous float16
codebooks: [2, 256, 8] float16 (shared, from first expert)
"""
E = len(expert_weights)
K, N = expert_weights[0].shape
g = expert_weights[0].group_size
device = expert_weights[0].codes.device
packed_codes = torch.zeros(E, K, N // g, 2, dtype=torch.uint8, device=device)
packed_scales = torch.zeros(E, K, dtype=torch.float16, device=device)
for i, w in enumerate(expert_weights):
packed_codes[i] = w.codes
packed_scales[i] = w.scales
# Codebooks are shared across experts β take from first
codebooks = expert_weights[0].codebooks
return packed_codes, packed_scales, codebooks
# =============================================================================
# Benchmark
# =============================================================================
def benchmark_goliath(M=4096, N=4096, K=4096, warmup=10, iters=100):
"""Benchmark Goliath FP4/FP8 vs BF16 cuBLAS."""
import time
if not torch.cuda.is_available():
print("No CUDA available.")
return
print("=" * 60)
print("Goliath FP4/FP8 Benchmark")
print("=" * 60)
w = torch.randn(K, N, device='cuda', dtype=torch.float32)
w_fp4 = goliath_quantize(w, bits=4)
w_fp8 = goliath_quantize(w, bits=8)
w_bf16 = w.to(torch.bfloat16)
a = torch.randn(M, K, device='cuda', dtype=torch.bfloat16)
# Memory comparison
fp4_bytes = w_fp4.packed.numel() + w_fp4.block_scales.numel()
fp8_bytes = w_fp8.data.numel() + w_fp8.block_scales.numel() * 4
bf16_bytes = w_bf16.numel() * 2
print(f"Weight memory:")
print(f" FP4: {fp4_bytes / 1e6:.1f} MB ({bf16_bytes / fp4_bytes:.1f}x compression)")
print(f" FP8: {fp8_bytes / 1e6:.1f} MB ({bf16_bytes / fp8_bytes:.1f}x compression)")
print(f" BF16: {bf16_bytes / 1e6:.1f} MB")
print()
# Warmup
for _ in range(warmup):
goliath_gemm(a, w_fp4)
goliath_gemm(a, w_fp8)
torch.matmul(a, w_bf16)
torch.cuda.synchronize()
# FP4
start = time.perf_counter()
for _ in range(iters):
goliath_gemm(a, w_fp4)
torch.cuda.synchronize()
fp4_t = (time.perf_counter() - start) / iters
# FP8
start = time.perf_counter()
for _ in range(iters):
goliath_gemm(a, w_fp8)
torch.cuda.synchronize()
fp8_t = (time.perf_counter() - start) / iters
# BF16 cuBLAS
start = time.perf_counter()
for _ in range(iters):
torch.matmul(a, w_bf16)
torch.cuda.synchronize()
bf16_t = (time.perf_counter() - start) / iters
flops = 2 * M * N * K
print(f"{M}x{N}x{K} GEMM:")
print(f" Goliath FP4: {flops/fp4_t/1e12:.1f} TFLOPS ({fp4_t*1000:.2f}ms)")
print(f" Goliath FP8: {flops/fp8_t/1e12:.1f} TFLOPS ({fp8_t*1000:.2f}ms)")
print(f" BF16 cuBLAS: {flops/bf16_t/1e12:.1f} TFLOPS ({bf16_t*1000:.2f}ms)")
# Accuracy
out_fp4 = goliath_gemm(a, w_fp4)
out_fp8 = goliath_gemm(a, w_fp8)
out_ref = torch.matmul(a.float(), w).bfloat16()
err_fp4 = (out_fp4 - out_ref).abs().mean() / out_ref.abs().mean()
err_fp8 = (out_fp8 - out_ref).abs().mean() / out_ref.abs().mean()
print(f" FP4 vs FP32 ref: rel_err={err_fp4:.4f}")
print(f" FP8 vs FP32 ref: rel_err={err_fp8:.4f}")
# Auto mode
w_auto = goliath_quantize(w, bits='auto')
print(f" Auto-selected: FP{w_auto.bits}")
# =============================================================================
# GoliathLinear β Training Module with Custom Autograd
# =============================================================================
import torch.nn as nn
class _GoliathLinearFunction(torch.autograd.Function):
"""Custom autograd for fused FP4/FP8 forward + FP32 backward."""
@staticmethod
def forward(ctx, input, goliath_weights, bias, weight_fp32, bits):
# Forward uses quantized Goliath GEMM
# input: [M, K], goliath_weights: GoliathFP4Weights or GoliathFP8Weights
out = goliath_gemm(input, goliath_weights, bias)
ctx.save_for_backward(input, weight_fp32, bias)
ctx.bits = bits
return out
@staticmethod
def backward(ctx, grad_output):
input, weight_fp32, bias = ctx.saved_tensors
# grad_output: [M, N]
# dA = grad_output @ W^T (dequant from master weights for accuracy)
# weight_fp32: [out_features, in_features] = [N, K]
dA = torch.matmul(grad_output.float(), weight_fp32.float()) # [M, K]
# dW = grad_output^T @ input (FP32 accumulation)
dW = torch.matmul(grad_output.float().T, input.float()) # [N, K]
# db = grad_output.sum(dim=0) if bias exists
db = None
if bias is not None:
db = grad_output.float().sum(dim=0)
# Return gradients for: input, goliath_weights, bias, weight_fp32, bits
return dA.to(input.dtype), None, db, dW, None
class GoliathLinear(nn.Module):
"""Linear layer with Goliath fused FP4/FP8 quantized forward + FP32 backward.
Stores FP32 master weights as ``nn.Parameter`` for training. On forward,
weights are quantized via Goliath and the fused kernel runs the matmul.
Backward uses FP32 master weights for gradient computation.
Args:
in_features: Input dimension (K)
out_features: Output dimension (N)
bias: Whether to include a bias term
bits: Quantization bits β 4, 8, or 'auto'
"""
def __init__(self, in_features: int, out_features: int, bias: bool = True,
bits: Union[int, str] = 4):
super().__init__()
self.in_features = in_features
self.out_features = out_features
self.bits = bits
# FP32 master weights
self.weight = nn.Parameter(torch.empty(out_features, in_features))
if bias:
self.bias = nn.Parameter(torch.zeros(out_features))
else:
self.register_parameter('bias', None)
nn.init.kaiming_uniform_(self.weight, a=2.23606797749979) # sqrt(5)
# Quantization cache
self._goliath_weights: Optional[GoliathWeights] = None
self._weight_version: int = -1
def _ensure_quantized(self):
"""Re-quantize from master weights when weight data has changed."""
# Check if weight tensor has been updated (via _version counter)
current_version = self.weight._version
if self._goliath_weights is not None and self._weight_version == current_version:
return
# weight is [out_features, in_features] = [N, K]
# Goliath expects [K, N]
w_kn = self.weight.data.T.contiguous().float()
self._goliath_weights = goliath_quantize(w_kn, bits=self.bits)
self._weight_version = current_version
def forward(self, x: torch.Tensor) -> torch.Tensor:
orig_shape = x.shape[:-1]
x_flat = x.reshape(-1, self.in_features)
if x_flat.is_cuda and not self.training:
# Inference: pure quantized forward (no autograd overhead)
self._ensure_quantized()
out = goliath_gemm(x_flat, self._goliath_weights, self.bias)
return out.view(*orig_shape, self.out_features)
if x_flat.is_cuda:
# Training: quantized forward + FP32 backward via custom autograd
self._ensure_quantized()
out = _GoliathLinearFunction.apply(
x_flat, self._goliath_weights, self.bias,
self.weight, self.bits,
)
return out.view(*orig_shape, self.out_features)
# CPU fallback
return torch.nn.functional.linear(x, self.weight, self.bias)
def extra_repr(self) -> str:
return (f'in_features={self.in_features}, out_features={self.out_features}, '
f'bias={self.bias is not None}, bits={self.bits}')
# =============================================================================
# GoliathQuantumLinear β Hybrid Training Module (FP8 Forward + Quantum Backward)
# =============================================================================
#
# FireEcho training-optimized linear layer that combines:
# Forward: BF16 master β quantize to FP8 β _goliath_fp8_kernel (2x bandwidth)
# Backward: quantum_optimized_matmul (L2-swizzled Triton GEMM for gradients)
# Master: BF16 weights (saves 2x memory vs FP32 GoliathLinear)
#
# Designed for EAGLE-3 draft head training where:
# - Forward needs to be fast (inference-like, quantized)
# - Backward needs to be accurate (BF16 master weights for gradient flow)
# - Memory is tight (BF16 master saves 50% vs FP32)
#
# Hardware-agnostic: uses Triton (compiles to NVIDIA/AMD/Intel), no cuQuantum.
# Lazy import for quantum module (lives at kernel/quantum/, parent of Engine/)
_quantum_matmul = None
_quantum_import_attempted = False
def _ensure_quantum_import():
"""Lazily import quantum_optimized_matmul from kernel/quantum/."""
global _quantum_matmul, _quantum_import_attempted
if _quantum_import_attempted:
return _quantum_matmul is not None
_quantum_import_attempted = True
try:
from quantum import quantum_optimized_matmul
_quantum_matmul = quantum_optimized_matmul
return True
except ImportError:
import sys as _sys
import os as _os
# kernel/ is parent of FireEcho Engine/
_kernel_dir = _os.path.dirname(_os.path.dirname(_os.path.abspath(__file__)))
if _kernel_dir not in _sys.path:
_sys.path.insert(0, _kernel_dir)
try:
from quantum import quantum_optimized_matmul
_quantum_matmul = quantum_optimized_matmul
return True
except ImportError:
return False
class _GoliathQuantumFunction(torch.autograd.Function):
"""Custom autograd: Goliath FP8 forward + Quantum Gold L2-swizzled backward.
Forward: Quantize BF16 master β FP8, run fused dequant-matmul (2x bandwidth)
Backward: quantum_optimized_matmul for dX and dW (L2 cache swizzle, Triton GEMM)
"""
@staticmethod
def forward(ctx, input, weight_bf16, bias, goliath_fp8):
# Forward: use pre-quantized Goliath FP8 weights for 2x bandwidth
out = goliath_gemm(input, goliath_fp8, bias)
ctx.save_for_backward(input, weight_bf16, bias)
return out
@staticmethod
def backward(ctx, grad_output):
input, weight_bf16, bias = ctx.saved_tensors
# grad_output: [M, N], weight_bf16: [N, K], input: [M, K]
if _quantum_matmul is not None:
# Quantum Gold backward: L2-swizzled Triton GEMM
# dX = grad_output @ weight_bf16 β [M, N] Γ [N, K] β [M, K]
# quantum_optimized_matmul expects [M, K] Γ [K, N] β [M, N]
# So: dX = quantum_optimized_matmul(grad_output, weight_bf16.T)
# but weight_bf16 is [N, K], so weight_bf16.T is [K, N]...
# We need grad_output [M, N] Γ weight [N, K] = [M, K]
# = quantum_optimized_matmul(grad_output, weight_bf16.T.contiguous()) won't work
# We need: dX[M,K] = grad[M,N] @ W[N,K]
# quantum_optimized_matmul(a[M,K], b[K,N]) β [M,N]
# So: dX = quantum_optimized_matmul(grad_output.contiguous(),
# weight_bf16.contiguous()) # grad[M,N] Γ W[N,K] β [M,K]
# Wait β that's [M,N]Γ[N,K] which has inner dim N, not K.
# quantum expects a[M,K]Γb[K,N]. Here K_inner=N.
# So this IS valid: a=[M,N_inner], b=[N_inner,K_out]
dX = _quantum_matmul(
grad_output.contiguous(),
weight_bf16.contiguous() # [N, K] β inner dim N matches
) # [M, K]
# dW = grad_output.T @ input β [N, M] Γ [M, K] β [N, K]
dW = _quantum_matmul(
grad_output.T.contiguous(), # [N, M]
input.contiguous() # [M, K]
) # [N, K]
else:
# Fallback: standard PyTorch matmul (still BF16, still fast)
dX = torch.matmul(grad_output, weight_bf16) # [M,N] Γ [N,K] β [M,K]
dW = torch.matmul(grad_output.T, input) # [N,M] Γ [M,K] β [N,K]
db = None
if bias is not None:
db = grad_output.sum(dim=0)
# Gradients for: input, weight_bf16, bias, goliath_fp8
return dX.to(input.dtype), dW.to(weight_bf16.dtype), db, None
class GoliathQuantumLinear(nn.Module):
"""FireEcho training-optimized linear layer.
Combines Goliath FP8 forward (2x bandwidth savings) with Quantum Gold
backward (L2-swizzled Triton GEMM for gradients). BF16 master weights
save 50% memory vs FP32.
This is the training counterpart of GoliathLinear. GoliathLinear uses FP32
master weights and standard torch.matmul backward. GoliathQuantumLinear uses
BF16 master weights and quantum_optimized_matmul backward.
Args:
in_features: Input dimension (K)
out_features: Output dimension (N)
bias: Whether to include a bias term
"""
def __init__(self, in_features: int, out_features: int, bias: bool = False):
super().__init__()
self.in_features = in_features
self.out_features = out_features
# BF16 master weights (saves 2x vs FP32)
self.weight = nn.Parameter(
torch.empty(out_features, in_features, dtype=torch.bfloat16))
if bias:
self.bias = nn.Parameter(torch.zeros(out_features, dtype=torch.bfloat16))
else:
self.register_parameter('bias', None)
nn.init.kaiming_uniform_(self.weight, a=2.23606797749979) # sqrt(5)
# FP8 quantization cache (reused every forward, re-quantized when weight changes)
self._goliath_fp8: Optional[GoliathFP8Weights] = None
self._weight_version: int = -1
# Ensure quantum module is available
_ensure_quantum_import()
def _ensure_quantized(self):
"""Re-quantize BF16 master β FP8 when weights have changed."""
current_version = self.weight._version
if self._goliath_fp8 is not None and self._weight_version == current_version:
return
# weight is [out_features, in_features] = [N, K]
# Goliath expects [K, N]
w_kn = self.weight.data.T.contiguous().float()
self._goliath_fp8 = GoliathFP8Weights.from_float(w_kn)
self._weight_version = current_version
def forward(self, x: torch.Tensor) -> torch.Tensor:
orig_shape = x.shape[:-1]
x_flat = x.reshape(-1, self.in_features)
if x_flat.is_cuda and not self.training:
# Inference: pure FP8 forward (no autograd overhead)
self._ensure_quantized()
out = goliath_gemm(x_flat, self._goliath_fp8, self.bias)
return out.view(*orig_shape, self.out_features)
if x_flat.is_cuda:
# Training: FP8 forward + Quantum Gold backward
self._ensure_quantized()
out = _GoliathQuantumFunction.apply(
x_flat, self.weight, self.bias, self._goliath_fp8,
)
return out.view(*orig_shape, self.out_features)
# CPU fallback
return torch.nn.functional.linear(x, self.weight, self.bias)
def extra_repr(self) -> str:
quantum_str = "quantum" if _quantum_matmul is not None else "fallback"
return (f'in_features={self.in_features}, out_features={self.out_features}, '
f'bias={self.bias is not None}, backward={quantum_str}')
if __name__ == "__main__":
print("Goliath β Native FP4/FP8 Fused Triton GEMM Kernel")
print("=" * 60)
if torch.cuda.is_available():
print(f"GPU: {torch.cuda.get_device_name(0)}")
benchmark_goliath(M=2048, N=2048, K=2048)
print()
benchmark_goliath(M=4096, N=4096, K=4096)
else:
print("No CUDA available.")
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