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Implements the complete HPC-Quantize V2 decision stack for ``Q4_0`` (32 weights
per 18-byte block = 4.5 bpw):
1. **Geometry-Preserving Analog + WLS Seeds**:
Finds optimal ``d*`` from both the raw weights and an iso-moment companded
analog of each 32-weight block.
2. **24-Candidate Scale Lattice & Extended Spectral Objective**:
Evaluates 24 scale multipliers (mapped to 6 symbolic quhit states) on
importance-weighted SSE + D6/Vesica fold pyramid + DC penalty, including
negative-scale sign-flip candidates ``-d`` (which mirror the asymmetric
``[-8, +7]`` grid to ``[-7, +8]`` when positive outliers dominate).
3. **6-State Sequential Sieve & 6-State Viterbi DP**:
Runs the 6-state sequential Sieve with parity back-action and a 6-state
Viterbi dynamic program with free-energy bin reduction and Manhattan
transition penalty across the block chain.
4. **Asymmetric Sign-Flip fp16-ULP Polish & Closed-Form Vesica/DC Shaping**:
Polishes ``d`` over ``+/-8`` fp16 ULPs of both ``+d`` and ``-d``, and
applies closed-form 1-D quadratic Vesica + DC code projection bounded by
``sse_budget`` plus a strict monotone candidate floor.
5. **Optional Thermal Refinery (Pair Heat-Bath, opt-in)**:
With ``cfg.therm_passes > 0`` the finished nibble codes are re-swept by
the seeded pair heat-bath annealer (Anneal) on the 16-level Q4_0 lattice
with extended-nonincreasing acceptance under the ``sse_budget`` cap.
"""
from __future__ import annotations
import logging
from math import ceil
import numpy as np
try:
import torch
except ImportError: # pragma: no cover
torch = None # type: ignore[assignment]
from .anneal import thermal_refine_q4_0, thermal_spectral_lams
from .config import HPCConfig
from .cuda_backend import cuda_is_available
from .factored import MULTS_D
from .fp16 import from_fp16_bits, nearest_int, to_fp16_bits
from .sieve import sieve_measure_chain, subblock_chain_edges
from .spectral import pin_dc_codes_uniform, pin_dc_codes_uniform_cuda
from .viterbi import robust_temperature
QK4_0 = 32
Q4_0_BLOCK_BYTES = 18
Q4_N_CAND = 24
Q4_N_STATES = 6
Q4_N_LEVELS = 16
_log = logging.getLogger(__name__)
# Chunk sizes (in 32-weight blocks). The CUDA default keeps the historical
# reference chunk (131072 blocks * 32 weights = 4,194,304 weights per chunk);
# the CPU default is scaled back so the vectorized numpy temporaries
# ((B, 24, 32) candidate-error fields) stay cache-resident instead of
# allocating multi-hundred-MB arrays per chunk.
Q4_0_CHUNK_BLOCKS_CUDA = 131072
Q4_0_CHUNK_BLOCKS_CPU = 8192
# Empirical peak VRAM per 32-weight block on the CUDA pipeline (~4 GiB
# observed for the 131072-block reference chunk); used to auto-scale the GPU
# chunk to the free memory actually available on the device.
Q4_0_CUDA_BYTES_PER_BLOCK = 32768
Q4_0_CUDA_VRAM_FRACTION = 0.45
def dequantize_q4_0_bytes(raw: bytes | np.ndarray, n_blocks: int) -> np.ndarray:
blocks = np.frombuffer(raw, dtype=np.uint8).reshape(n_blocks, Q4_0_BLOCK_BYTES)
d = blocks[:, :2].copy().view("<f2").reshape(n_blocks, 1).astype(np.float32)
qs = blocks[:, 2:]
low = (qs & 0x0F).astype(np.float32) - 8.0
high = (qs >> 4).astype(np.float32) - 8.0
q = np.concatenate([low, high], axis=1)
return (d * q).reshape(-1)
def _q4_sieve_and_viterbi(cand_errors: np.ndarray, cfg: HPCConfig) -> np.ndarray:
"""6-state sequential Sieve + 6-state Viterbi DP over Q4_0 candidate lattice."""
B = cand_errors.shape[0]
if cfg.optimizer != "hpc" or B < 2:
return np.argmin(cand_errors, axis=1).astype(np.int64)
max_gb = min(int(cfg.graph_max_blocks), 512)
stride = max(1, ceil(B / max_gb))
gb = ceil(B / stride)
temp = max(float(robust_temperature(cand_errors, cfg)), 1.0e-12)
pad = gb * stride - B
ce = cand_errors.astype(np.float64)
if pad > 0:
ce = np.concatenate([ce, np.full((pad, Q4_N_CAND), np.inf, dtype=np.float64)], axis=0)
ce_grouped = ce.reshape(gb, stride, Q4_N_STATES, 4)
group_min = np.min(ce_grouped, axis=(1, 3)) # (gb, 6)
finite = np.isfinite(ce_grouped)
counts = np.sum(finite, axis=(1, 3))
valid = (counts > 0) & np.isfinite(group_min)
gm_b = np.where(np.isfinite(group_min), group_min, 0.0)[:, None, :, None]
shifted = np.where(finite, (ce_grouped - gm_b) / (2.0 * temp), np.inf)
sums = np.sum(np.exp(-shifted), axis=(1, 3))
mean_exp = np.maximum(sums / np.maximum(counts, 1), 1.0e-300)
bin_err = np.where(valid, group_min - 2.0 * temp * np.log(mean_exp), np.inf)
# Sieve local amplitudes from mean candidate errors per group:
agg = np.mean(np.where(finite, ce_grouped, 0.0), axis=1).reshape(gb, Q4_N_CAND)
mn = np.min(agg, axis=1, keepdims=True)
coeff = np.exp(-np.clip((agg - mn) / (2.0 * temp), 0.0, 80.0)).reshape(gb, Q4_N_STATES, 4)
amps = np.sum(coeff, axis=2)
norms = np.linalg.norm(amps, axis=1, keepdims=True)
amps = np.where(norms > 1.0e-30, amps / np.maximum(norms, 1.0e-30), 1.0 / np.sqrt(6.0))
marg, _ = sieve_measure_chain(
amps,
subblock_chain_edges(gb),
same_penalty=cfg.same_penalty,
log_slack=cfg.log_slack,
deterministic=True,
)
m_tot = np.sum(marg, axis=1, keepdims=True)
pm = np.where(m_tot > 1.0e-30, marg / np.maximum(m_tot, 1.0e-30), 1.0 / 6.0)
log_prior = np.log(pm + 1.0e-30)
fin_err = bin_err[np.isfinite(bin_err)]
scale_err = max(float(fin_err.mean()) if fin_err.size else 1.0e-10, 1.0e-20)
local = np.where(np.isfinite(bin_err), bin_err - cfg.viterbi_beta * scale_err * log_prior, np.inf)
states = np.arange(Q4_N_STATES)
trans = cfg.viterbi_alpha * scale_err * np.abs(states[None, :] - states[:, None])
dp = np.full((gb, Q4_N_STATES), np.inf, dtype=np.float64)
back = np.zeros((gb, Q4_N_STATES), dtype=np.int64)
dp[0] = local[0]
for gi in range(1, gb):
totals = dp[gi - 1][:, None] + trans
best_sp = np.argmin(totals, axis=0)
best_val = totals[best_sp, states]
dp[gi] = np.where(np.isfinite(best_val), best_val + local[gi], np.inf)
back[gi] = best_sp
path = np.zeros(gb, dtype=np.int64)
if np.any(np.isfinite(dp[-1])):
path[-1] = int(np.argmin(dp[-1]))
for gi in range(gb - 2, -1, -1):
path[gi] = back[gi + 1, path[gi + 1]]
ce_bins = cand_errors.reshape(B, Q4_N_STATES, 4)
bin_local_arg = np.argmin(ce_bins, axis=2) # (B, 6)
blk_gi = np.arange(B) // stride
chosen_bin = path[blk_gi]
chosen_cand = chosen_bin * 4 + bin_local_arg[np.arange(B), chosen_bin]
global_best = np.argmin(cand_errors, axis=1).astype(np.int64)
cur_e = cand_errors[np.arange(B), chosen_cand]
g_e = cand_errors[np.arange(B), global_best]
return np.where(g_e < cur_e * cfg.greedy_override_ratio, global_best, chosen_cand)
def _quantize_q4_0_hpc_cpu(
X: np.ndarray, W: np.ndarray, cfg: HPCConfig
) -> tuple[bytes, float]:
"""Full HPC V2 Q4_0 pipeline on CPU for a chunk of (B, 32) blocks."""
B = X.shape[0]
X_f32 = X.astype(np.float32)
W_f32 = W.astype(np.float32)
lam_dc = (float(cfg.dc_lambda) / QK4_0) if cfg.use_spectral else 0.0
lam_vw = (float(cfg.vw_lambda) / QK4_0) if cfg.use_spectral else 0.0
half = QK4_0 // 2
# 1. Analog + WLS seed for d* (testing both +d and asymmetric sign-flip -d):
amax = np.max(np.abs(X_f32), axis=1)
d_range = amax / 7.5
wsum = np.maximum(np.sum(W_f32, axis=1, keepdims=True), 1.0e-30)
mu = np.sum(W_f32 * X_f32, axis=1, keepdims=True) / wsum
var = np.sum(W_f32 * (X_f32 - mu) ** 2, axis=1, keepdims=True) / wsum
sig = np.sqrt(np.maximum(var, 1.0e-30))
x_comp = mu + sig * 1.85 * np.tanh((X_f32 - mu) / (1.85 * sig))
d_analog = np.max(np.abs(x_comp), axis=1).astype(np.float32) / 7.5
wls_d = d_range.copy()
best_seed_sse = np.full(B, np.inf, dtype=np.float64)
for d_start in (d_range, -d_range, d_analog, -d_analog):
d = d_start.astype(np.float64)
for _ in range(4):
act = np.abs(d) > 1.0e-15
sd = np.where(act, d, 1.0)[:, None]
q = np.where(act[:, None], np.clip(nearest_int((X_f32 / sd).astype(np.float32)) + 8, 0, 15), 8)
c = (q - 8).astype(np.float64)
num = np.sum(W_f32 * X_f32 * c, axis=1, dtype=np.float64)
den = np.sum(W_f32 * c * c, axis=1, dtype=np.float64)
valid = den > 1.0e-30
d = np.where(valid, num / np.where(valid, den, 1.0), 0.0)
df = from_fp16_bits(to_fp16_bits(d.astype(np.float32)))
act = np.abs(df) > 1.0e-15
sdf = np.where(act, df, 1.0)[:, None]
q = np.where(act[:, None], np.clip(nearest_int(X_f32 / sdf) + 8, 0, 15), 8)
e = X_f32 - df[:, None] * (q.astype(np.float32) - 8.0)
sse = np.sum(W_f32 * e * e, axis=1, dtype=np.float64)
take = sse < best_seed_sse
best_seed_sse = np.where(take, sse, best_seed_sse)
wls_d = np.where(take, df, wls_d)
# 2. 24-Candidate Field with Extended Spectral Objective:
cand_d16 = to_fp16_bits(wls_d[:, None] * MULTS_D[None, :]) # (B, 24)
cand_d = from_fp16_bits(cand_d16) # (B, 24)
act_c = np.abs(cand_d) > 1.0e-15
sd_c = np.where(act_c, cand_d, 1.0)[:, :, None]
q_c = np.where(
act_c[:, :, None],
np.clip(nearest_int(X_f32[:, None, :] / sd_c) + 8, 0, 15),
8,
).astype(np.float32)
e_c = X_f32[:, None, :] - cand_d[:, :, None] * (q_c - 8.0) # (B, 24, 32)
sse_c = np.sum(W_f32[:, None, :] * e_c * e_c, axis=2)
if cfg.use_spectral and (lam_dc > 0.0 or lam_vw > 0.0):
v_c = e_c[:, :, :half] + e_c[:, :, half:]
dc_c = np.sum(e_c, axis=2)
cand_errors = (sse_c + lam_vw * np.sum(v_c * v_c, axis=2) + lam_dc * dc_c * dc_c).astype(np.float32)
else:
cand_errors = sse_c.astype(np.float32)
# 3. 6-State Sieve + 6-State Viterbi DP:
best_cand = _q4_sieve_and_viterbi(cand_errors, cfg)
rows = np.arange(B)
d_sel = cand_d[rows, best_cand]
# 4. Asymmetric Sign-Flip fp16-ULP Polish (+/-8 ULPs around +d_sel and -d_sel):
rad = max(int(cfg.ulp_radius), 4)
deltas = np.arange(-rad, rad + 1, dtype=np.int32)
pos_b = np.clip(to_fp16_bits(np.abs(d_sel)).astype(np.int32)[:, None] + deltas[None, :], 0, 0x7BFF).astype(np.uint16)
neg_b = (pos_b | np.uint16(0x8000)).astype(np.uint16)
all_b = np.concatenate([pos_b, neg_b], axis=1) # (B, 2*(2*rad+1))
all_d = from_fp16_bits(all_b)
act_u = np.abs(all_d) > 1.0e-15
sd_u = np.where(act_u, all_d, 1.0)[:, :, None]
q_u = np.where(
act_u[:, :, None],
np.clip(nearest_int(X_f32[:, None, :] / sd_u) + 8, 0, 15),
8,
).astype(np.uint8)
e_u = X_f32[:, None, :] - all_d[:, :, None] * (q_u.astype(np.float32) - 8.0)
sse_u = np.sum(W_f32[:, None, :] * e_u * e_u, axis=2, dtype=np.float64)
pick_u = np.argmin(sse_u, axis=1)
best_d16 = all_b[rows, pick_u]
best_d = all_d[rows, pick_u]
best_q = q_u[rows, pick_u].astype(np.int64)
# 5. Closed-Form 1-D Quadratic Vesica + DC Code Projection within sse_budget:
if cfg.use_spectral and (lam_vw > 0.0 or lam_dc > 0.0):
c_f = (best_q - 8).astype(np.float64)
e = X_f32.astype(np.float64) - best_d[:, None].astype(np.float64) * c_f
sse_live = np.sum(W_f32 * e * e, axis=1, dtype=np.float64)
sse_cap = sse_live * (1.0 + cfg.sse_budget)
v = e[:, :half] + e[:, half:]
dc = np.sum(e, axis=1)
d_f64 = best_d.astype(np.float64)[:, None]
denom = (W_f32 + lam_vw + lam_dc) * (d_f64 * d_f64)
act_b = np.abs(d_f64) > 1.0e-15
s_den = np.where(act_b & (denom > 1.0e-30), denom, 1.0)
v_full = np.concatenate([v, v], axis=1)
grad = d_f64 * (W_f32 * e + lam_vw * v_full + lam_dc * dc[:, None])
dq = np.where(act_b, nearest_int((grad / s_den).astype(np.float32)), 0)
q_new = np.clip(best_q + dq, 0, 15)
e_new = X_f32.astype(np.float64) - d_f64 * (q_new - 8).astype(np.float64)
sse_new = np.sum(W_f32 * e_new * e_new, axis=1, dtype=np.float64)
v_new = e_new[:, :half] + e_new[:, half:]
dc_new = np.sum(e_new, axis=1)
spec_old = lam_vw * np.sum(v * v, axis=1) + lam_dc * dc * dc
spec_new = lam_vw * np.sum(v_new * v_new, axis=1) + lam_dc * dc_new * dc_new
accept = (sse_new <= sse_cap) & ((sse_new + spec_new) < (sse_live + spec_old) - 1.0e-15)
best_q = np.where(accept[:, None], q_new, best_q)
# 5. Optional Thermal Refinery (Pair Heat-Bath, non-regressing):
if cfg.therm_passes > 0:
thermal_q, _ = thermal_refine_q4_0(X_f32, W_f32, best_d, best_q, cfg)
best_q = thermal_q.astype(np.int64)
# 5c. Zero-DC Pin (deterministic code-flip exchange within pin_budget):
# Q4_0 codes are unsigned u in [0, 15] with dequant d*(u-8), so hand the
# pin the zero-point-shifted target (X + 8d); its model residual
# (X + 8d) - d*u then equals the true dequant error.
if cfg.pin_dc:
best_q, _ = pin_dc_codes_uniform(
X_f32 + 8.0 * best_d[:, None].astype(np.float32),
best_d,
best_q,
np.ones((B, QK4_0)),
0,
15,
budget_frac=float(cfg.pin_budget),
)
best_q_u8 = best_q.astype(np.uint8)
out = np.empty((B, Q4_0_BLOCK_BYTES), dtype=np.uint8)
out[:, :2] = best_d16.astype("<u2").view(np.uint8).reshape(B, 2)
out[:, 2:] = (best_q_u8[:, :16] & 0x0F) | ((best_q_u8[:, 16:] & 0x0F) << np.uint8(4))
deq_final = best_d[:, None] * (best_q_u8.astype(np.float32) - 8.0)
raw_sse = float(np.sum((X_f32 - deq_final) ** 2, dtype=np.float64))
return out.tobytes(), raw_sse
def _quantize_q4_0_hpc_cuda(
X_np: np.ndarray, W_np: np.ndarray, dev: "torch.device", cfg: HPCConfig, chunk_idx: int = 0
) -> tuple[bytes, float]:
"""Full HPC V2 Q4_0 pipeline on CUDA GPU for a chunk of (B, 32) blocks."""
B = X_np.shape[0]
lam_dc = (float(cfg.dc_lambda) / QK4_0) if cfg.use_spectral else 0.0
lam_vw = (float(cfg.vw_lambda) / QK4_0) if cfg.use_spectral else 0.0
half = QK4_0 // 2
with torch.no_grad():
X = torch.from_numpy(X_np).to(dev, dtype=torch.float32)
W = torch.from_numpy(W_np).to(dev, dtype=torch.float32)
# 1. Analog + WLS seed (including negative-scale sign-flip starts):
amax = torch.max(torch.abs(X), dim=1).values
d_range = amax / 7.5
wsum = torch.clamp(torch.sum(W, dim=1, keepdim=True), min=1.0e-30)
mu = torch.sum(W * X, dim=1, keepdim=True) / wsum
var = torch.sum(W * (X - mu) ** 2, dim=1, keepdim=True) / wsum
sig = torch.sqrt(torch.clamp(var, min=1.0e-30))
x_comp = mu + sig * 1.85 * torch.tanh((X - mu) / (1.85 * sig))
d_analog = torch.max(torch.abs(x_comp), dim=1).values / 7.5
wls_d = d_range.clone()
best_seed_sse = torch.full((B,), float("inf"), dtype=torch.float32, device=dev)
for d_start in (d_range, -d_range, d_analog, -d_analog):
d = d_start.clone()
for _ in range(4):
act = torch.abs(d) > 1.0e-15
sd = torch.where(act, d, torch.ones_like(d))[:, None]
sh = (X / sd) + 12582912.0
qi = ((sh.view(torch.int32) & 0x007FFFFF) - 0x00400000 + 8).clamp(0, 15)
q = torch.where(act[:, None], qi, torch.full_like(qi, 8))
c = (q - 8).to(torch.float32)
num = torch.sum(W * X * c, dim=1)
den = torch.sum(W * c * c, dim=1)
valid = den > 1.0e-30
d = torch.where(valid, num / torch.where(valid, den, torch.ones_like(den)), torch.zeros_like(den))
df = d.to(torch.float16).to(torch.float32)
act = torch.abs(df) > 1.0e-15
sdf = torch.where(act, df, torch.ones_like(df))[:, None]
sh = (X / sdf) + 12582912.0
qi = ((sh.view(torch.int32) & 0x007FFFFF) - 0x00400000 + 8).clamp(0, 15)
q = torch.where(act[:, None], qi, torch.full_like(qi, 8))
e = X - df[:, None] * (q.to(torch.float32) - 8.0)
sse = torch.sum(W * e * e, dim=1)
take = sse < best_seed_sse
best_seed_sse = torch.where(take, sse, best_seed_sse)
wls_d = torch.where(take, df, wls_d)
# 2. 24-Candidate Field with Extended Spectral Objective on GPU:
mults = torch.tensor(MULTS_D, dtype=torch.float32, device=dev)
cand_d = (wls_d[:, None] * mults[None, :]).to(torch.float16).to(torch.float32) # (B, 24)
act_c = torch.abs(cand_d) > 1.0e-15
sd_c = torch.where(act_c, cand_d, torch.ones_like(cand_d))[:, :, None]
sh_c = (X[:, None, :] / sd_c) + 12582912.0
qi_c = ((sh_c.view(torch.int32) & 0x007FFFFF) - 0x00400000 + 8).clamp(0, 15)
q_c = torch.where(act_c[:, :, None], qi_c, torch.full_like(qi_c, 8)).to(torch.float32)
e_c = X[:, None, :] - cand_d[:, :, None] * (q_c - 8.0)
sse_c = torch.sum(W[:, None, :] * e_c * e_c, dim=2)
if cfg.use_spectral and (lam_dc > 0.0 or lam_vw > 0.0):
v_c = e_c[:, :, :half] + e_c[:, :, half:]
dc_c = torch.sum(e_c, dim=2)
cand_err_t = sse_c + lam_vw * torch.sum(v_c * v_c, dim=2) + lam_dc * dc_c * dc_c
else:
cand_err_t = sse_c
# 3. 6-State Sieve + 6-State Viterbi DP:
best_cand_np = _q4_sieve_and_viterbi(cand_err_t.cpu().numpy(), cfg)
del cand_err_t, e_c, q_c, qi_c, sh_c, sse_c
if cfg.use_spectral and (lam_dc > 0.0 or lam_vw > 0.0):
del v_c, dc_c
best_cand_t = torch.from_numpy(best_cand_np).to(dev)
rows = torch.arange(B, device=dev)
d_sel = cand_d[rows, best_cand_t]
# 4. Asymmetric Sign-Flip fp16-ULP Polish (+/-8 ULPs around +d_sel and -d_sel):
rad = max(int(cfg.ulp_radius), 4)
deltas = torch.arange(-rad, rad + 1, dtype=torch.int32, device=dev)
abs_bits = torch.abs(d_sel).to(torch.float16).view(torch.int16).to(torch.int32) & 0x7FFF
pos_b = torch.clamp(abs_bits[:, None] + deltas[None, :], 0, 0x7BFF)
neg_b = pos_b | 0x8000
all_b = torch.cat([pos_b, neg_b], dim=1) # (B, 2*(2*rad+1))
all_d = all_b.to(torch.int16).view(torch.float16).to(torch.float32)
act_u = torch.abs(all_d) > 1.0e-15
sd_u = torch.where(act_u, all_d, torch.ones_like(all_d))[:, :, None]
sh_u = (X[:, None, :] / sd_u) + 12582912.0
qi_u = ((sh_u.view(torch.int32) & 0x007FFFFF) - 0x00400000 + 8).clamp(0, 15)
q_u = torch.where(act_u[:, :, None], qi_u, torch.full_like(qi_u, 8)).to(torch.uint8)
e_u = X[:, None, :] - all_d[:, :, None] * (q_u.to(torch.float32) - 8.0)
sse_u = torch.sum(W[:, None, :] * e_u * e_u, dim=2)
pick_u = torch.argmin(sse_u, dim=1)
best_d16 = all_b[rows, pick_u]
best_d = all_d[rows, pick_u]
best_q = q_u[rows, pick_u].to(torch.int64)
del e_u, q_u, qi_u, sh_u, sse_u
# 5. Closed-Form 1-D Quadratic Vesica + DC Code Projection within sse_budget:
if cfg.use_spectral and (lam_vw > 0.0 or lam_dc > 0.0):
d_col = best_d[:, None]
e = X - d_col * (best_q.to(torch.float32) - 8.0)
sse_live = torch.sum(W * e * e, dim=1)
sse_cap = sse_live * (1.0 + float(cfg.sse_budget))
v = e[:, :half] + e[:, half:]
dc = torch.sum(e, dim=1)
denom = (W + lam_vw + lam_dc) * (d_col * d_col)
act_b = torch.abs(d_col) > 1.0e-15
s_den = torch.where(act_b & (denom > 1.0e-30), denom, torch.ones_like(denom))
v_full = torch.cat([v, v], dim=1)
grad = d_col * (W * e + lam_vw * v_full + lam_dc * dc[:, None])
sh_dq = (grad / s_den) + 12582912.0
dq = torch.where(
act_b,
((sh_dq.view(torch.int32) & 0x007FFFFF) - 0x00400000).to(torch.int64),
torch.zeros_like(best_q),
)
q_new = torch.clamp(best_q + dq, 0, 15)
e_new = X - d_col * (q_new.to(torch.float32) - 8.0)
sse_new = torch.sum(W * e_new * e_new, dim=1)
v_new = e_new[:, :half] + e_new[:, half:]
dc_new = torch.sum(e_new, dim=1)
spec_old = lam_vw * torch.sum(v * v, dim=1) + lam_dc * dc * dc
spec_new = lam_vw * torch.sum(v_new * v_new, dim=1) + lam_dc * dc_new * dc_new
accept = (sse_new <= sse_cap) & ((sse_new + spec_new) < (sse_live + spec_old) - 1.0e-12)
best_q = torch.where(accept[:, None], q_new, best_q)
# 5. Optional Thermal Refinery (Pair Heat-Bath, on-GPU):
if cfg.therm_passes > 0:
thermal_seed = cfg.therm_seed ^ (
(0x9E3779B97F4A7C15 * chunk_idx) & 0x3FFFFFFFFFFFFFFF
)
best_q, _ = _q4_0_thermal_cuda(X, W, best_d, best_q, dev, cfg, thermal_seed)
# 5c. Zero-DC Pin (deterministic code-flip exchange within pin_budget):
# Unsigned codes u in [0, 15], zero-point 8 — pass (X + 8d) so the
# pin's model residual equals the true dequant error. Runs fully on
# the GPU.
if cfg.pin_dc:
best_q, _ = pin_dc_codes_uniform_cuda(
X + 8.0 * best_d[:, None].float(),
best_d,
best_q.to(torch.int64),
torch.ones_like(X),
0,
15,
budget_frac=float(cfg.pin_budget),
)
best_q_u8 = best_q.to(torch.uint8)
deq_fin = best_d[:, None] * (best_q_u8.to(torch.float32) - 8.0)
raw_sse = float(torch.sum((X - deq_fin) ** 2, dtype=torch.float64).item())
d16_np = best_d16.to(torch.int16).cpu().numpy().view(np.uint16)
q_np = best_q_u8.cpu().numpy()
out = np.empty((B, Q4_0_BLOCK_BYTES), dtype=np.uint8)
out[:, :2] = d16_np.astype("<u2").view(np.uint8).reshape(B, 2)
out[:, 2:] = (q_np[:, :16] & 0x0F) | ((q_np[:, 16:] & 0x0F) << np.uint8(4))
return out.tobytes(), raw_sse
def _q4_0_thermal_cuda(
X: "torch.Tensor",
W: "torch.Tensor | None",
d: "torch.Tensor",
codes: "torch.Tensor",
dev: "torch.device",
cfg: HPCConfig,
seed: int,
) -> tuple["torch.Tensor", int]:
"""Seeded pair heat-bath annealing of Q4_0 nibble codes, fully on GPU.
Torch port of ``anneal.thermal_refine_uniform_codes``: sequential Gibbs
sweeps over the 16 vesica pairs of each 32-weight block with exact
closed-form conditional energies (heat-bath sampling at the per-block
temperature, greedy argmin for the closing sweeps), and elementwise-best
end-of-pass selection (extended energy strictly decreasing and SSE under
the ``sse_budget`` cap) so the anneal can never regress a block. At
every block-level control point energies are recomputed exactly from
the codes in fp64; the within-sweep pair math runs in fp32. RNG streams
differ from the CPU annealer, but a fixed seed is reproducible on
device.
"""
B = int(X.shape[0])
lam_vw, lam_dc = thermal_spectral_lams(cfg, QK4_0)
if B == 0 or cfg.therm_passes == 0 or (lam_vw == 0.0 and lam_dc == 0.0):
return codes, 0
lam_vw, lam_dc = float(lam_vw), float(lam_dc)
n_passes, n_sweeps = int(cfg.therm_passes), int(cfg.therm_sweeps)
half = QK4_0 // 2
ww = torch.ones_like(X) if W is None else W
step = d.to(X.dtype)
grid = torch.arange(Q4_N_LEVELS, device=dev, dtype=X.dtype)
rows = torch.arange(B, device=dev)
def exact_energies(qs: "torch.Tensor"):
e64 = (X - step[:, None] * (qs - 8.0)).double()
w64 = ww.double()
sse = torch.sum(w64 * e64 * e64, dim=1)
v = e64[:, :half] + e64[:, half:]
dc = torch.sum(e64, dim=1)
energy = sse + lam_vw * torch.sum(v * v, dim=1) + lam_dc * dc * dc
return sse, energy
_, energy_best = exact_energies(codes)
energy0 = energy_best.clone()
sse_cap = exact_energies(codes)[0] * (1.0 + float(cfg.sse_budget))
best = codes.clone()
cur = codes.clone()
gen = torch.Generator(device=dev)
gen.manual_seed(int(seed) & 0x7FFFFFFFFFFFFFFF)
for t in range(n_passes):
temperature = (
float(cfg.therm_t0)
* (cfg.therm_t_decay**t)
* torch.clamp(energy_best.double(), min=1.0e-30)
/ QK4_0
).float()
for sweep in range(n_sweeps + 2):
greedy = sweep >= n_sweeps
_, energy_start = exact_energies(cur)
e = X - step[:, None] * (cur - 8.0)
v = e[:, :half] + e[:, half:]
dc = torch.sum(e, dim=1)
for p in range(half):
e_lo, e_hi = e[:, p], e[:, half + p]
w_lo, w_hi = ww[:, p], ww[:, half + p]
v_p = v[:, p]
de_lo = step[:, None] * (cur[:, p : p + 1] - grid[None, :])
de_hi = step[:, None] * (cur[:, half + p : half + p + 1] - grid[None, :])
de_sum = de_lo[:, :, None] + de_hi[:, None, :]
d_e = (
w_lo[:, None, None] * (2.0 * e_lo[:, None, None] * de_lo[:, :, None] + de_lo[:, :, None] ** 2)
+ w_hi[:, None, None] * (2.0 * e_hi[:, None, None] * de_hi[:, None, :] + de_hi[:, None, :] ** 2)
+ lam_vw * (2.0 * v_p[:, None, None] * de_sum + de_sum * de_sum)
+ lam_dc * (2.0 * dc[:, None, None] * de_sum + de_sum * de_sum)
)
cur_pair = cur[:, p] * Q4_N_LEVELS + cur[:, half + p]
if greedy:
flat = d_e.reshape(B, -1)
pick = torch.argmin(flat, dim=1)
best_val = flat[rows, pick]
pick = torch.where(best_val < 0.0, pick, cur_pair)
else:
logits = -d_e / torch.clamp(temperature, min=1.0e-30)[:, None, None]
logits -= logits.amax(dim=(1, 2), keepdim=True)
probs = torch.exp(logits).reshape(B, -1)
dead_idx = torch.where(step.abs() < 1.0e-15)[0]
if bool(dead_idx.numel()):
probs[dead_idx] = 0.0
probs[dead_idx, cur_pair[dead_idx]] = 1.0
cum = torch.cumsum(probs, dim=1)
cum = cum / cum[:, -1:]
u = torch.rand((B, 1), device=dev, generator=gen)
pick = torch.sum(cum < u, dim=1).clamp(max=Q4_N_LEVELS * Q4_N_LEVELS - 1)
ia, ib = pick // Q4_N_LEVELS, pick % Q4_N_LEVELS
upd_lo = torch.gather(de_lo, 1, ia[:, None])[:, 0]
upd_hi = torch.gather(de_hi, 1, ib[:, None])[:, 0]
upd_sum = upd_lo + upd_hi
e[:, p] = e_lo + upd_lo
e[:, half + p] = e_hi + upd_hi
v[:, p] = v_p + upd_sum
dc = dc + upd_sum
cur[:, p] = ia
cur[:, half + p] = ib
if greedy:
_, energy_now = exact_energies(cur)
if not bool(torch.any(energy_now < energy_start - 1.0e-10)):
break
sse_now, energy_now = exact_energies(cur)
take = (energy_now < energy_best - 1.0e-18) & (sse_now <= sse_cap)
best = torch.where(take[:, None], cur, best)
energy_best = torch.where(take, energy_now, energy_best)
cur = best.clone()
n_improved = int(torch.sum(energy_best < energy0 - 1.0e-18).item())
return best, n_improved
def quantize_tensor_q4_0(
weights: np.ndarray,
importance: np.ndarray | None = None,
cfg: HPCConfig | None = None,
chunk_blocks: int | None = None,
) -> tuple[bytes, int, float]:
"""Quantize a tensor to GGML Q4_0 using the full HPC V2 pipeline.
``chunk_blocks`` (32-weight blocks per chunk) defaults to
``Q4_0_CHUNK_BLOCKS_CUDA`` on the GPU path and the cache-resident
``Q4_0_CHUNK_BLOCKS_CPU`` on the CPU path.
"""
cfg = cfg or HPCConfig()
x = np.asarray(weights, dtype=np.float32).ravel()
if x.size == 0 or x.size % QK4_0 != 0:
raise ValueError("Q4_0 requires a non-empty weight count divisible by 32")
n_blocks = x.size // QK4_0
X = x.reshape(n_blocks, QK4_0)
if importance is not None:
imp = np.asarray(importance, dtype=np.float32).ravel()
if imp.size != x.size:
raise ValueError("importance length must match weight count")
W_raw = imp.reshape(n_blocks, QK4_0)
else:
W_raw = None
cuda_ok = cfg.device != "cpu" and cuda_is_available()
use_cuda = cuda_ok and (
cfg.device.startswith("cuda") or (cfg.device == "auto" and n_blocks >= 64)
)
dev = torch.device("cuda" if cfg.device == "auto" else cfg.device) if use_cuda else None
if chunk_blocks is None:
if use_cuda and dev is not None:
# VRAM-aware default: size the chunk from the free memory at
# start-up, never below the reference chunk (which always fits
# even on small cards).
try:
free_bytes, _ = torch.cuda.mem_get_info(dev)
chunk_blocks = max(
Q4_0_CHUNK_BLOCKS_CUDA,
int(Q4_0_CUDA_VRAM_FRACTION * free_bytes) // Q4_0_CUDA_BYTES_PER_BLOCK,
)
except Exception:
chunk_blocks = Q4_0_CHUNK_BLOCKS_CUDA
else:
chunk_blocks = Q4_0_CHUNK_BLOCKS_CPU
chunk_blocks = max(1, int(chunk_blocks))
_log.info(
"Q4_0 routing: cfg.device=%r cuda_is_available=%s n_blocks=%d -> %s (chunk_blocks=%d)",
cfg.device, cuda_ok if cfg.device != "cpu" else "n/a", n_blocks,
f"CUDA[{dev}]" if use_cuda else "CPU", chunk_blocks,
)
chunks: list[bytes] = []
total_sse = 0.0
for start in range(0, n_blocks, chunk_blocks):
stop = min(start + chunk_blocks, n_blocks)
Xb = X[start:stop]
sig2 = np.mean(Xb * Xb, axis=1, keepdims=True)
if W_raw is None:
Wb = np.sqrt(sig2 + Xb * Xb)
else:
wr = W_raw[start:stop]
Wb = np.sqrt(np.maximum(wr, 1.0e-6)) * np.sqrt(sig2 + Xb * Xb) if cfg.temper_imatrix else wr
wm = np.mean(Wb, axis=1, keepdims=True)
Wb = np.where(wm > 1.0e-30, Wb / np.maximum(wm, 1.0e-30), 1.0).astype(np.float32)
if use_cuda and dev is not None:
raw_b, sse_b = _quantize_q4_0_hpc_cuda(Xb, Wb, dev, cfg, chunk_idx=start // chunk_blocks)
else:
raw_b, sse_b = _quantize_q4_0_hpc_cpu(Xb, Wb, cfg)
chunks.append(raw_b)
total_sse += sse_b
rmse = float(np.sqrt(total_sse / x.size))
return b"".join(chunks), n_blocks, rmse
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