Upload 9 files
Browse files- config.py +19 -2
- factored.py +103 -80
- pipeline.py +75 -54
- seeds.py +7 -3
- spectral.py +17 -7
- viterbi.py +6 -5
config.py
CHANGED
|
@@ -24,10 +24,13 @@ class HPCConfig:
|
|
| 24 |
n_cand_m: int = 6
|
| 25 |
factor_pin: int = 3
|
| 26 |
factor_iters: int = 1
|
| 27 |
-
|
| 28 |
-
|
|
|
|
|
|
|
| 29 |
factor_ulp_radius: int = 1
|
| 30 |
factor_refine_1d: bool = True
|
|
|
|
| 31 |
factor_spectral_refine: bool = True
|
| 32 |
factor_exact_emit: bool = True
|
| 33 |
|
|
@@ -89,4 +92,18 @@ class HPCConfig:
|
|
| 89 |
raise ValueError("ULP radii must be non-negative")
|
| 90 |
if self.refine_passes < 1:
|
| 91 |
raise ValueError("refine_passes must be >= 1")
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 92 |
return self
|
|
|
|
| 24 |
n_cand_m: int = 6
|
| 25 |
factor_pin: int = 3
|
| 26 |
factor_iters: int = 1
|
| 27 |
+
factor_1d_iters: int = 6
|
| 28 |
+
factor_1d_refine_sweeps: int = 1
|
| 29 |
+
factor_standalone_iters: int = 8
|
| 30 |
+
factor_starts: int = 2
|
| 31 |
factor_ulp_radius: int = 1
|
| 32 |
factor_refine_1d: bool = True
|
| 33 |
+
factor_portfolio: bool = True
|
| 34 |
factor_spectral_refine: bool = True
|
| 35 |
factor_exact_emit: bool = True
|
| 36 |
|
|
|
|
| 92 |
raise ValueError("ULP radii must be non-negative")
|
| 93 |
if self.refine_passes < 1:
|
| 94 |
raise ValueError("refine_passes must be >= 1")
|
| 95 |
+
if not 1 <= self.subblock_states <= 6:
|
| 96 |
+
raise ValueError("subblock_states must lie in [1, 6]")
|
| 97 |
+
if self.factor_1d_iters < 1 or self.factor_standalone_iters < 1:
|
| 98 |
+
raise ValueError("factor iteration budgets must be >= 1")
|
| 99 |
+
if self.factor_starts < 1:
|
| 100 |
+
raise ValueError("factor_starts must be >= 1")
|
| 101 |
+
if self.sse_budget < 0.0:
|
| 102 |
+
raise ValueError("sse_budget must be non-negative")
|
| 103 |
+
if not 0.0 < self.same_penalty <= 1.0:
|
| 104 |
+
raise ValueError("same_penalty must lie in (0, 1]")
|
| 105 |
+
if self.log_slack < 0.0:
|
| 106 |
+
raise ValueError("log_slack must be non-negative")
|
| 107 |
+
if self.viterbi_alpha < 0.0 or self.viterbi_beta < 0.0:
|
| 108 |
+
raise ValueError("Viterbi weights must be non-negative")
|
| 109 |
return self
|
factored.py
CHANGED
|
@@ -201,17 +201,47 @@ def _refine_integer_codes(v, w, d, codes, nmax, sweeps=2):
|
|
| 201 |
return d, codes.astype(np.uint8)
|
| 202 |
|
| 203 |
|
| 204 |
-
def
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 205 |
"""Weighted 1-D factorisation ``v ~= d * L`` with ``L in [0, nmax]``."""
|
| 206 |
v = np.maximum(np.asarray(v, dtype=np.float64), 0.0)
|
| 207 |
w = np.maximum(np.asarray(w, dtype=np.float64), 0.0)
|
| 208 |
d, codes = _factor_1d_lloyd(v, w, nmax, iters)
|
| 209 |
if refine and d > 0.0:
|
| 210 |
-
d, codes = _refine_integer_codes(v, w, d, codes, nmax)
|
| 211 |
return d, codes
|
| 212 |
|
| 213 |
|
| 214 |
-
def
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 215 |
x = np.asarray(x, dtype=np.float64)
|
| 216 |
w = np.asarray(w, dtype=np.float64)
|
| 217 |
blocks = x.reshape(NS, 16)
|
|
@@ -233,8 +263,8 @@ def _range_init(x, w, cfg: HPCConfig):
|
|
| 233 |
nearest_int((sub + tj) / sj), 0, 3
|
| 234 |
).astype(np.uint8)
|
| 235 |
sw = wblocks.sum(axis=1) if w is not None else np.full(NS, 16.0)
|
| 236 |
-
d, ls =
|
| 237 |
-
m, lm =
|
| 238 |
return d, m, ls, lm, codes
|
| 239 |
|
| 240 |
|
|
@@ -246,7 +276,7 @@ def _seeded_init(x, scales, mins, d_seed, m_seed):
|
|
| 246 |
return d, m, ls, lm, codes
|
| 247 |
|
| 248 |
|
| 249 |
-
def _ls_init(x, w, cfg: HPCConfig):
|
| 250 |
x = np.asarray(x, dtype=np.float64)
|
| 251 |
w = np.asarray(w, dtype=np.float64)
|
| 252 |
blocks = x.reshape(NS, 16)
|
|
@@ -262,8 +292,8 @@ def _ls_init(x, w, cfg: HPCConfig):
|
|
| 262 |
).astype(np.uint8)
|
| 263 |
s, t = _sub_ls(x, w, codes)
|
| 264 |
sw = w.reshape(NS, 16).sum(axis=1)
|
| 265 |
-
d, ls =
|
| 266 |
-
m, lm =
|
| 267 |
codes = codes_from_params(x, d, m, ls, lm)
|
| 268 |
return d, m, ls, lm, codes
|
| 269 |
|
|
@@ -274,34 +304,23 @@ def _sub_ls(x, w, codes):
|
|
| 274 |
q = np.asarray(codes, dtype=np.float64).reshape(NS, 16)
|
| 275 |
xb = x.reshape(NS, 16)
|
| 276 |
wb = w.reshape(NS, 16)
|
| 277 |
-
|
| 278 |
-
|
| 279 |
-
|
| 280 |
-
|
| 281 |
-
|
| 282 |
-
|
| 283 |
-
|
| 284 |
-
|
| 285 |
-
|
| 286 |
-
|
| 287 |
-
|
| 288 |
-
|
| 289 |
-
|
| 290 |
-
|
| 291 |
-
|
| 292 |
-
|
| 293 |
-
|
| 294 |
-
tj = 0.0
|
| 295 |
-
if sj < 0.0:
|
| 296 |
-
sj = 0.0
|
| 297 |
-
if tj < 0.0:
|
| 298 |
-
tj = 0.0
|
| 299 |
-
sj = Sqx / Sqq if Sqq > 1.0e-30 else 0.0
|
| 300 |
-
if sj < 0.0:
|
| 301 |
-
sj = 0.0
|
| 302 |
-
s[j] = sj
|
| 303 |
-
t[j] = tj
|
| 304 |
-
return s, t
|
| 305 |
|
| 306 |
|
| 307 |
def _solve(
|
|
@@ -317,6 +336,7 @@ def _solve(
|
|
| 317 |
use_spectral: bool,
|
| 318 |
max_iter: int,
|
| 319 |
dc_carry: float,
|
|
|
|
| 320 |
):
|
| 321 |
x = np.asarray(x, dtype=np.float32)
|
| 322 |
w = np.asarray(w, dtype=np.float32)
|
|
@@ -345,9 +365,7 @@ def _solve(
|
|
| 345 |
else:
|
| 346 |
ls = np.zeros(NS, dtype=np.uint8)
|
| 347 |
else:
|
| 348 |
-
d_new, ls_new =
|
| 349 |
-
s, ws, 15, cfg.factor_iters, cfg.factor_refine_1d
|
| 350 |
-
)
|
| 351 |
d, ls = float(d_new), ls_new
|
| 352 |
|
| 353 |
if pin & 2:
|
|
@@ -356,9 +374,7 @@ def _solve(
|
|
| 356 |
else:
|
| 357 |
lm = np.zeros(NS, dtype=np.uint8)
|
| 358 |
else:
|
| 359 |
-
m_new, lm_new =
|
| 360 |
-
t, wt, 15, cfg.factor_iters, cfg.factor_refine_1d
|
| 361 |
-
)
|
| 362 |
m, lm = float(m_new), lm_new
|
| 363 |
|
| 364 |
codes = codes_from_params(x, d, m, ls, lm)
|
|
@@ -432,48 +448,55 @@ def factor_q2k_block(
|
|
| 432 |
max_iter = cfg.factor_standalone_iters if max_iter is None else max_iter
|
| 433 |
starts = cfg.factor_starts if starts is None else starts
|
| 434 |
|
| 435 |
-
|
| 436 |
-
|
| 437 |
-
|
| 438 |
-
|
| 439 |
-
|
| 440 |
-
|
| 441 |
-
|
| 442 |
-
|
| 443 |
-
|
| 444 |
-
|
| 445 |
-
|
| 446 |
-
|
| 447 |
-
|
| 448 |
-
|
| 449 |
-
|
| 450 |
-
|
| 451 |
-
|
|
|
|
| 452 |
|
| 453 |
best = None
|
| 454 |
total_iters = 0
|
| 455 |
-
|
| 456 |
-
|
| 457 |
-
|
| 458 |
-
)
|
| 459 |
-
|
| 460 |
-
|
| 461 |
-
|
| 462 |
-
|
| 463 |
-
|
| 464 |
-
|
| 465 |
-
|
| 466 |
-
|
| 467 |
-
|
| 468 |
-
m16=np.uint16(m16),
|
| 469 |
-
ls=ls.astype(np.uint8),
|
| 470 |
-
lm=lm.astype(np.uint8),
|
| 471 |
-
codes=codes.astype(np.uint8),
|
| 472 |
-
sse=float(sse),
|
| 473 |
-
objective=float(obj),
|
| 474 |
-
iterations=total_iters,
|
| 475 |
-
starts=len(candidates),
|
| 476 |
)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 477 |
return best
|
| 478 |
|
| 479 |
|
|
|
|
| 201 |
return d, codes.astype(np.uint8)
|
| 202 |
|
| 203 |
|
| 204 |
+
def _factor_1d_legacy(v, w, nmax: int = 15, iters: int = 6):
|
| 205 |
+
v = np.maximum(np.asarray(v, dtype=np.float64), 0.0)
|
| 206 |
+
w = np.maximum(np.asarray(w, dtype=np.float64), 0.0)
|
| 207 |
+
vmax = float(v.max())
|
| 208 |
+
if vmax < 1.0e-30:
|
| 209 |
+
return 0.0, np.zeros(v.size, dtype=np.uint8)
|
| 210 |
+
d = vmax / nmax
|
| 211 |
+
for _ in range(iters):
|
| 212 |
+
codes = np.clip(nearest_int(v / d), 0, nmax)
|
| 213 |
+
den = float(np.sum(w * codes * codes))
|
| 214 |
+
if den < 1.0e-30:
|
| 215 |
+
break
|
| 216 |
+
dn = float(np.sum(w * v * codes) / den)
|
| 217 |
+
conv = abs(dn - d) <= 1.0e-7 * abs(d) + 1.0e-30
|
| 218 |
+
d = dn
|
| 219 |
+
if conv:
|
| 220 |
+
break
|
| 221 |
+
codes = np.clip(nearest_int(v / d), 0, nmax)
|
| 222 |
+
return d, codes.astype(np.uint8)
|
| 223 |
+
|
| 224 |
+
|
| 225 |
+
def factor_1d(v, w, nmax: int = 15, iters: int = 8, refine: bool = True, sweeps: int = 1):
|
| 226 |
"""Weighted 1-D factorisation ``v ~= d * L`` with ``L in [0, nmax]``."""
|
| 227 |
v = np.maximum(np.asarray(v, dtype=np.float64), 0.0)
|
| 228 |
w = np.maximum(np.asarray(w, dtype=np.float64), 0.0)
|
| 229 |
d, codes = _factor_1d_lloyd(v, w, nmax, iters)
|
| 230 |
if refine and d > 0.0:
|
| 231 |
+
d, codes = _refine_integer_codes(v, w, d, codes, nmax, sweeps)
|
| 232 |
return d, codes
|
| 233 |
|
| 234 |
|
| 235 |
+
def _factor_1d_for(v, w, nmax, cfg: HPCConfig, legacy: bool):
|
| 236 |
+
if legacy:
|
| 237 |
+
return _factor_1d_legacy(v, w, nmax, 6)
|
| 238 |
+
return factor_1d(
|
| 239 |
+
v, w, nmax, cfg.factor_1d_iters, cfg.factor_refine_1d,
|
| 240 |
+
cfg.factor_1d_refine_sweeps,
|
| 241 |
+
)
|
| 242 |
+
|
| 243 |
+
|
| 244 |
+
def _range_init(x, w, cfg: HPCConfig, legacy_1d: bool = False):
|
| 245 |
x = np.asarray(x, dtype=np.float64)
|
| 246 |
w = np.asarray(w, dtype=np.float64)
|
| 247 |
blocks = x.reshape(NS, 16)
|
|
|
|
| 263 |
nearest_int((sub + tj) / sj), 0, 3
|
| 264 |
).astype(np.uint8)
|
| 265 |
sw = wblocks.sum(axis=1) if w is not None else np.full(NS, 16.0)
|
| 266 |
+
d, ls = _factor_1d_for(s, sw, 15, cfg, legacy_1d)
|
| 267 |
+
m, lm = _factor_1d_for(t, sw, 15, cfg, legacy_1d)
|
| 268 |
return d, m, ls, lm, codes
|
| 269 |
|
| 270 |
|
|
|
|
| 276 |
return d, m, ls, lm, codes
|
| 277 |
|
| 278 |
|
| 279 |
+
def _ls_init(x, w, cfg: HPCConfig, legacy_1d: bool = False):
|
| 280 |
x = np.asarray(x, dtype=np.float64)
|
| 281 |
w = np.asarray(w, dtype=np.float64)
|
| 282 |
blocks = x.reshape(NS, 16)
|
|
|
|
| 292 |
).astype(np.uint8)
|
| 293 |
s, t = _sub_ls(x, w, codes)
|
| 294 |
sw = w.reshape(NS, 16).sum(axis=1)
|
| 295 |
+
d, ls = _factor_1d_for(s, sw, 15, cfg, legacy_1d)
|
| 296 |
+
m, lm = _factor_1d_for(t, sw, 15, cfg, legacy_1d)
|
| 297 |
codes = codes_from_params(x, d, m, ls, lm)
|
| 298 |
return d, m, ls, lm, codes
|
| 299 |
|
|
|
|
| 304 |
q = np.asarray(codes, dtype=np.float64).reshape(NS, 16)
|
| 305 |
xb = x.reshape(NS, 16)
|
| 306 |
wb = w.reshape(NS, 16)
|
| 307 |
+
Sqq = np.sum(wb * q * q, axis=1)
|
| 308 |
+
Swq = np.sum(wb * q, axis=1)
|
| 309 |
+
Sw = np.sum(wb, axis=1)
|
| 310 |
+
Sqx = np.sum(wb * q * xb, axis=1)
|
| 311 |
+
Sx = np.sum(wb * xb, axis=1)
|
| 312 |
+
det = Sqq * Sw - Swq * Swq
|
| 313 |
+
valid = det > 1.0e-30
|
| 314 |
+
safe_det = np.where(valid, det, 1.0)
|
| 315 |
+
safe_sw = np.where(Sw > 1.0e-30, Sw, 1.0)
|
| 316 |
+
sj = np.where(valid, (Sqx * Sw - Swq * Sx) / safe_det, 0.0)
|
| 317 |
+
tj = np.where(valid, (sj * Swq - Sx) / safe_sw, 0.0)
|
| 318 |
+
sj = np.maximum(sj, 0.0)
|
| 319 |
+
bad_tj = tj < 0.0
|
| 320 |
+
tj = np.where(bad_tj, 0.0, tj)
|
| 321 |
+
fallback = np.where(Sqq > 1.0e-30, Sqx / np.where(Sqq > 1.0e-30, Sqq, 1.0), 0.0)
|
| 322 |
+
sj = np.where(bad_tj, np.maximum(fallback, 0.0), sj)
|
| 323 |
+
return sj, tj
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 324 |
|
| 325 |
|
| 326 |
def _solve(
|
|
|
|
| 336 |
use_spectral: bool,
|
| 337 |
max_iter: int,
|
| 338 |
dc_carry: float,
|
| 339 |
+
legacy_1d: bool = False,
|
| 340 |
):
|
| 341 |
x = np.asarray(x, dtype=np.float32)
|
| 342 |
w = np.asarray(w, dtype=np.float32)
|
|
|
|
| 365 |
else:
|
| 366 |
ls = np.zeros(NS, dtype=np.uint8)
|
| 367 |
else:
|
| 368 |
+
d_new, ls_new = _factor_1d_for(s, ws, 15, cfg, legacy_1d)
|
|
|
|
|
|
|
| 369 |
d, ls = float(d_new), ls_new
|
| 370 |
|
| 371 |
if pin & 2:
|
|
|
|
| 374 |
else:
|
| 375 |
lm = np.zeros(NS, dtype=np.uint8)
|
| 376 |
else:
|
| 377 |
+
m_new, lm_new = _factor_1d_for(t, wt, 15, cfg, legacy_1d)
|
|
|
|
|
|
|
| 378 |
m, lm = float(m_new), lm_new
|
| 379 |
|
| 380 |
codes = codes_from_params(x, d, m, ls, lm)
|
|
|
|
| 448 |
max_iter = cfg.factor_standalone_iters if max_iter is None else max_iter
|
| 449 |
starts = cfg.factor_starts if starts is None else starts
|
| 450 |
|
| 451 |
+
def build_candidates(legacy_1d: bool):
|
| 452 |
+
out = []
|
| 453 |
+
if init_s is not None and init_t is not None and d_seed > 1.0e-30 and m_seed > 1.0e-30:
|
| 454 |
+
out.append(_seeded_init(x, init_s, init_t, d_seed, m_seed))
|
| 455 |
+
else:
|
| 456 |
+
d, m, ls, lm, codes = _range_init(x, w, cfg, legacy_1d)
|
| 457 |
+
if d_seed > 1.0e-30:
|
| 458 |
+
d = float(d_seed)
|
| 459 |
+
if init_s is not None:
|
| 460 |
+
ls = np.clip(nearest_int(np.asarray(init_s) / d), 0, 15).astype(np.uint8)
|
| 461 |
+
if m_seed > 1.0e-30:
|
| 462 |
+
m = float(m_seed)
|
| 463 |
+
if init_t is not None:
|
| 464 |
+
lm = np.clip(nearest_int(np.asarray(init_t) / m), 0, 15).astype(np.uint8)
|
| 465 |
+
out.append((d, m, ls, lm, codes))
|
| 466 |
+
if starts > 1:
|
| 467 |
+
out.append(_ls_init(x, w, cfg, legacy_1d))
|
| 468 |
+
return out
|
| 469 |
|
| 470 |
best = None
|
| 471 |
total_iters = 0
|
| 472 |
+
n_starts = 0
|
| 473 |
+
portfolio = cfg.factor_portfolio and (starts > 1 or max_iter > 1)
|
| 474 |
+
for legacy_1d in ((False, True) if portfolio else (False,)):
|
| 475 |
+
for d, m, ls, lm, codes in build_candidates(legacy_1d):
|
| 476 |
+
n_starts += 1
|
| 477 |
+
solve_iters = max(max_iter, 16) if legacy_1d else max_iter
|
| 478 |
+
d, m, ls, lm, codes, it = _solve(
|
| 479 |
+
x, w, cfg, d, m, ls, lm, codes, pin, use_spectral,
|
| 480 |
+
solve_iters, dc_carry, legacy_1d,
|
| 481 |
+
)
|
| 482 |
+
total_iters += it
|
| 483 |
+
d, m, d16, m16, ls, lm, codes, sse, obj = _emit_polish(
|
| 484 |
+
x, w, cfg, d, m, ls, lm, codes, dc_carry
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 485 |
)
|
| 486 |
+
if best is None or obj < best.objective - 1.0e-15:
|
| 487 |
+
best = FactorResult(
|
| 488 |
+
d=np.float32(d),
|
| 489 |
+
dmin=np.float32(m),
|
| 490 |
+
d16=np.uint16(d16),
|
| 491 |
+
m16=np.uint16(m16),
|
| 492 |
+
ls=ls.astype(np.uint8),
|
| 493 |
+
lm=lm.astype(np.uint8),
|
| 494 |
+
codes=codes.astype(np.uint8),
|
| 495 |
+
sse=float(sse),
|
| 496 |
+
objective=float(obj),
|
| 497 |
+
iterations=total_iters,
|
| 498 |
+
starts=n_starts,
|
| 499 |
+
)
|
| 500 |
return best
|
| 501 |
|
| 502 |
|
pipeline.py
CHANGED
|
@@ -39,14 +39,12 @@ from .q2k import (
|
|
| 39 |
codes_from_params,
|
| 40 |
codes_from_params_batch,
|
| 41 |
dequantize_params,
|
| 42 |
-
dequantize_params_batch,
|
| 43 |
derive_subscales,
|
| 44 |
make_block,
|
| 45 |
pack_codes,
|
| 46 |
pack_scales,
|
| 47 |
unpack_codes,
|
| 48 |
weighted_sse,
|
| 49 |
-
weighted_sse_batch,
|
| 50 |
)
|
| 51 |
from .seeds import build_seeds, seed_clamp_value
|
| 52 |
from .sieve import block_chain_edges, sieve_measure_chain, subblock_chain_edges
|
|
@@ -144,17 +142,17 @@ def _sieve_marginals(candidate_errors, graph_blocks, stride, temperature, cfg):
|
|
| 144 |
stop = min((gi + 1) * stride, n_blocks)
|
| 145 |
group = candidate_errors[start:stop].astype(np.float64)
|
| 146 |
finite = np.isfinite(group)
|
| 147 |
-
|
| 148 |
-
|
| 149 |
-
|
| 150 |
-
|
| 151 |
-
|
| 152 |
-
|
| 153 |
-
|
| 154 |
-
|
| 155 |
-
|
| 156 |
-
|
| 157 |
-
|
| 158 |
for v in range(6):
|
| 159 |
coarse[gi, v] = float(np.sum(coeff[qi_d == v]))
|
| 160 |
fine[gi, v] = float(np.sum(coeff[qi_m == v]))
|
|
@@ -229,28 +227,23 @@ def _per_sub_top_states(x, w, d, m, k=6):
|
|
| 229 |
wb = np.ones((NS, 16), dtype=np.float32)
|
| 230 |
else:
|
| 231 |
wb = np.asarray(w, dtype=np.float32).reshape(NS, 16)
|
| 232 |
-
state_ls = np.zeros((NS, k), dtype=np.uint8)
|
| 233 |
-
state_lm = np.zeros((NS, k), dtype=np.uint8)
|
| 234 |
-
state_err = np.full((NS, k), np.inf, dtype=np.float64)
|
| 235 |
ls_opts = np.arange(16, dtype=np.float32)[:, None]
|
| 236 |
lm_opts = np.arange(16, dtype=np.float32)[None, :]
|
| 237 |
d_sub = np.float32(d) * ls_opts
|
| 238 |
m_sub = np.float32(m) * lm_opts
|
| 239 |
-
safe = d_sub
|
| 240 |
-
safe_d = np.where(safe, d_sub
|
| 241 |
-
|
| 242 |
-
|
| 243 |
-
|
| 244 |
-
|
| 245 |
-
|
| 246 |
-
|
| 247 |
-
|
| 248 |
-
|
| 249 |
-
|
| 250 |
-
|
| 251 |
-
|
| 252 |
-
state_ls[j] = (order // 16).astype(np.uint8)
|
| 253 |
-
state_lm[j] = (order % 16).astype(np.uint8)
|
| 254 |
return state_ls, state_lm, state_err
|
| 255 |
|
| 256 |
|
|
@@ -305,18 +298,28 @@ def _ulp_polish(x, w, d, m, ls, lm, radius):
|
|
| 305 |
if radius <= 0:
|
| 306 |
codes = codes_from_params(x, d, m, ls, lm)
|
| 307 |
return float(d), float(m), codes, weighted_sse(x, w, d, m, ls, lm, codes)
|
| 308 |
-
d16 =
|
| 309 |
-
m16 =
|
| 310 |
-
|
| 311 |
-
|
| 312 |
-
|
| 313 |
-
|
| 314 |
-
|
| 315 |
-
|
| 316 |
-
|
| 317 |
-
|
| 318 |
-
|
| 319 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 320 |
|
| 321 |
|
| 322 |
def _per_sub_scan(x, w, d, m):
|
|
@@ -341,19 +344,36 @@ def _assemble_block(x, w, seeds, base_d, base_m, cidx, dc_carry, cfg):
|
|
| 341 |
break
|
| 342 |
prev = cur
|
| 343 |
|
| 344 |
-
d, m, codes, _ = _ulp_polish(x, w, d, m, ls, lm, cfg.ulp_radius)
|
| 345 |
-
ls, lm = _per_sub_scan(x, w, d, m)
|
| 346 |
codes = codes_from_params(x, d, m, ls, lm)
|
| 347 |
-
codes = refine_codes_hadamard(x, w, d, m, ls, lm, codes, cfg, dc_carry)
|
| 348 |
obj, sse = objective(x, w, d, m, ls, lm, codes, cfg, dc_carry)
|
| 349 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 350 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 351 |
|
| 352 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 353 |
d16, m16 = candidate_pair(base_d, base_m, cidx)
|
| 354 |
d = float(from_fp16_bits(d16))
|
| 355 |
m = float(from_fp16_bits(m16))
|
| 356 |
-
ls, lm = derive_subscales(
|
| 357 |
return d, m, ls, lm
|
| 358 |
|
| 359 |
|
|
@@ -396,6 +416,8 @@ class Q2KQuantizer:
|
|
| 396 |
) -> QuantizedTensor:
|
| 397 |
cfg = self.config
|
| 398 |
x = np.asarray(weights, dtype=np.float32)
|
|
|
|
|
|
|
| 399 |
if x.size % QK_K != 0:
|
| 400 |
raise ValueError("weight count must be a multiple of 256")
|
| 401 |
if x.ndim == 2 and row_width is None and x.shape[1] % QK_K == 0:
|
|
@@ -408,12 +430,14 @@ class Q2KQuantizer:
|
|
| 408 |
imp = np.asarray(importance, dtype=np.float32).ravel()
|
| 409 |
if imp.size != x.size:
|
| 410 |
raise ValueError("importance must match the weight count")
|
|
|
|
|
|
|
| 411 |
W = imp.reshape(n_blocks, QK_K)
|
| 412 |
else:
|
| 413 |
W = None
|
| 414 |
|
| 415 |
-
seeds = build_seeds(X, W, cfg)
|
| 416 |
clamp_val = seed_clamp_value(x, cfg)
|
|
|
|
| 417 |
base_d, base_m = _phase2_wls(X, W, seeds, clamp_val)
|
| 418 |
|
| 419 |
candidate_errors = np.full((n_blocks, TOTAL_CANDIDATES), np.inf, dtype=np.float32)
|
|
@@ -466,10 +490,7 @@ class Q2KQuantizer:
|
|
| 466 |
|
| 467 |
if cfg.use_candidate_floor:
|
| 468 |
cd, cm, cls, clm = _candidate_config(
|
| 469 |
-
|
| 470 |
-
base_d[i],
|
| 471 |
-
base_m[i],
|
| 472 |
-
best[i],
|
| 473 |
)
|
| 474 |
ccodes = codes_from_params(X[i], cd, cm, cls, clm)
|
| 475 |
cobj, csse = objective(
|
|
|
|
| 39 |
codes_from_params,
|
| 40 |
codes_from_params_batch,
|
| 41 |
dequantize_params,
|
|
|
|
| 42 |
derive_subscales,
|
| 43 |
make_block,
|
| 44 |
pack_codes,
|
| 45 |
pack_scales,
|
| 46 |
unpack_codes,
|
| 47 |
weighted_sse,
|
|
|
|
| 48 |
)
|
| 49 |
from .seeds import build_seeds, seed_clamp_value
|
| 50 |
from .sieve import block_chain_edges, sieve_measure_chain, subblock_chain_edges
|
|
|
|
| 142 |
stop = min((gi + 1) * stride, n_blocks)
|
| 143 |
group = candidate_errors[start:stop].astype(np.float64)
|
| 144 |
finite = np.isfinite(group)
|
| 145 |
+
counts = finite.sum(axis=0)
|
| 146 |
+
valid = counts > 0
|
| 147 |
+
sums = np.where(finite, group, 0.0).sum(axis=0)
|
| 148 |
+
agg = np.where(valid, sums / np.maximum(counts, 1), 0.0)
|
| 149 |
+
mn = float(np.min(agg[valid])) if np.any(valid) else 0.0
|
| 150 |
+
expo = np.where(
|
| 151 |
+
valid,
|
| 152 |
+
(agg - mn) / (2.0 * max(temperature, 1.0e-12)),
|
| 153 |
+
np.inf,
|
| 154 |
+
)
|
| 155 |
+
coeff = np.exp(-expo)
|
| 156 |
for v in range(6):
|
| 157 |
coarse[gi, v] = float(np.sum(coeff[qi_d == v]))
|
| 158 |
fine[gi, v] = float(np.sum(coeff[qi_m == v]))
|
|
|
|
| 227 |
wb = np.ones((NS, 16), dtype=np.float32)
|
| 228 |
else:
|
| 229 |
wb = np.asarray(w, dtype=np.float32).reshape(NS, 16)
|
|
|
|
|
|
|
|
|
|
| 230 |
ls_opts = np.arange(16, dtype=np.float32)[:, None]
|
| 231 |
lm_opts = np.arange(16, dtype=np.float32)[None, :]
|
| 232 |
d_sub = np.float32(d) * ls_opts
|
| 233 |
m_sub = np.float32(m) * lm_opts
|
| 234 |
+
safe = d_sub >= np.float32(1.0e-15)
|
| 235 |
+
safe_d = np.where(safe, d_sub, np.float32(1.0))
|
| 236 |
+
subs = xb[:, None, None, :]
|
| 237 |
+
raw = (subs + m_sub[None, :, :, None]) / safe_d[None, :, :, None]
|
| 238 |
+
q = np.clip(nearest_int(raw), 0, 3).astype(np.float32)
|
| 239 |
+
q = np.where(safe[None, :, :, None], q, 0.0)
|
| 240 |
+
deq = d_sub[None, :, :, None] * q - m_sub[None, :, :, None]
|
| 241 |
+
err = np.sum(wb[:, None, None, :] * (subs - deq) ** 2, axis=3)
|
| 242 |
+
flat = err.reshape(NS, 256)
|
| 243 |
+
order = np.argsort(flat, axis=1, kind="stable")[:, :k]
|
| 244 |
+
state_err = np.take_along_axis(flat, order, axis=1).astype(np.float64)
|
| 245 |
+
state_ls = (order // 16).astype(np.uint8)
|
| 246 |
+
state_lm = (order % 16).astype(np.uint8)
|
|
|
|
|
|
|
| 247 |
return state_ls, state_lm, state_err
|
| 248 |
|
| 249 |
|
|
|
|
| 298 |
if radius <= 0:
|
| 299 |
codes = codes_from_params(x, d, m, ls, lm)
|
| 300 |
return float(d), float(m), codes, weighted_sse(x, w, d, m, ls, lm, codes)
|
| 301 |
+
d16 = int(to_fp16_bits(np.float32(d)))
|
| 302 |
+
m16 = int(to_fp16_bits(np.float32(m)))
|
| 303 |
+
d_bits = np.arange(max(0, d16 - radius), min(0x7BFF, d16 + radius) + 1, dtype=np.uint16)
|
| 304 |
+
m_bits = np.arange(max(0, m16 - radius), min(0x7BFF, m16 + radius) + 1, dtype=np.uint16)
|
| 305 |
+
dd = from_fp16_bits(d_bits)
|
| 306 |
+
mm = from_fp16_bits(m_bits)
|
| 307 |
+
d_grid = np.repeat(dd, mm.size)
|
| 308 |
+
m_grid = np.tile(mm, dd.size)
|
| 309 |
+
ls_rep = np.repeat(np.asarray(ls, dtype=np.float32), 16)
|
| 310 |
+
lm_rep = np.repeat(np.asarray(lm, dtype=np.float32), 16)
|
| 311 |
+
d_sub = d_grid[:, None] * ls_rep[None, :]
|
| 312 |
+
m_sub = m_grid[:, None] * lm_rep[None, :]
|
| 313 |
+
safe = d_sub >= np.float32(1.0e-15)
|
| 314 |
+
safe_d = np.where(safe, d_sub, np.float32(1.0))
|
| 315 |
+
q = np.clip(nearest_int((x[None, :] + m_sub) / safe_d), 0, 3).astype(np.float32)
|
| 316 |
+
q = np.where(safe, q, 0.0)
|
| 317 |
+
deq = d_sub * q - m_sub
|
| 318 |
+
ww = np.ones(QK_K, dtype=np.float64) if w is None else np.asarray(w, dtype=np.float64)
|
| 319 |
+
err = np.sum(ww[None, :] * (np.asarray(x, dtype=np.float64)[None, :] - deq) ** 2, axis=1)
|
| 320 |
+
k = int(np.argmin(err))
|
| 321 |
+
codes = q[k].astype(np.uint8)
|
| 322 |
+
return float(d_grid[k]), float(m_grid[k]), codes, float(err[k])
|
| 323 |
|
| 324 |
|
| 325 |
def _per_sub_scan(x, w, d, m):
|
|
|
|
| 344 |
break
|
| 345 |
prev = cur
|
| 346 |
|
|
|
|
|
|
|
| 347 |
codes = codes_from_params(x, d, m, ls, lm)
|
|
|
|
| 348 |
obj, sse = objective(x, w, d, m, ls, lm, codes, cfg, dc_carry)
|
| 349 |
+
best = (obj, sse, d, m, ls.copy(), lm.copy(), codes.copy())
|
| 350 |
+
|
| 351 |
+
ud, um, uc, _ = _ulp_polish(x, w, d, m, ls, lm, cfg.ulp_radius)
|
| 352 |
+
uobj, usse = objective(x, w, ud, um, ls, lm, uc, cfg, dc_carry)
|
| 353 |
+
if uobj < best[0] - 1.0e-15:
|
| 354 |
+
best = (uobj, usse, ud, um, ls.copy(), lm.copy(), uc.copy())
|
| 355 |
|
| 356 |
+
sls, slm = _per_sub_scan(x, w, ud, um)
|
| 357 |
+
scodes = codes_from_params(x, ud, um, sls, slm)
|
| 358 |
+
sobj, ssse = objective(x, w, ud, um, sls, slm, scodes, cfg, dc_carry)
|
| 359 |
+
if sobj < best[0] - 1.0e-15:
|
| 360 |
+
best = (sobj, ssse, ud, um, sls.copy(), slm.copy(), scodes.copy())
|
| 361 |
|
| 362 |
+
_, _, bd, bm, bls, blm, bc = best
|
| 363 |
+
refined = refine_codes_hadamard(x, w, bd, bm, bls, blm, bc, cfg, dc_carry)
|
| 364 |
+
robj, rsse = objective(x, w, bd, bm, bls, blm, refined, cfg, dc_carry)
|
| 365 |
+
if robj < best[0] - 1.0e-15:
|
| 366 |
+
best = (robj, rsse, bd, bm, bls.copy(), blm.copy(), refined.copy())
|
| 367 |
+
|
| 368 |
+
_, sse, d, m, ls, lm, codes = best
|
| 369 |
+
return d, m, ls, lm, codes, best[0], sse
|
| 370 |
+
|
| 371 |
+
|
| 372 |
+
def _candidate_config(scales, mins, base_d, base_m, cidx):
|
| 373 |
d16, m16 = candidate_pair(base_d, base_m, cidx)
|
| 374 |
d = float(from_fp16_bits(d16))
|
| 375 |
m = float(from_fp16_bits(m16))
|
| 376 |
+
ls, lm = derive_subscales(scales, mins, d, m)
|
| 377 |
return d, m, ls, lm
|
| 378 |
|
| 379 |
|
|
|
|
| 416 |
) -> QuantizedTensor:
|
| 417 |
cfg = self.config
|
| 418 |
x = np.asarray(weights, dtype=np.float32)
|
| 419 |
+
if x.size == 0:
|
| 420 |
+
raise ValueError("weight tensor is empty")
|
| 421 |
if x.size % QK_K != 0:
|
| 422 |
raise ValueError("weight count must be a multiple of 256")
|
| 423 |
if x.ndim == 2 and row_width is None and x.shape[1] % QK_K == 0:
|
|
|
|
| 430 |
imp = np.asarray(importance, dtype=np.float32).ravel()
|
| 431 |
if imp.size != x.size:
|
| 432 |
raise ValueError("importance must match the weight count")
|
| 433 |
+
if np.any(imp < 0.0) or not np.all(np.isfinite(imp)):
|
| 434 |
+
raise ValueError("importance must be finite and non-negative")
|
| 435 |
W = imp.reshape(n_blocks, QK_K)
|
| 436 |
else:
|
| 437 |
W = None
|
| 438 |
|
|
|
|
| 439 |
clamp_val = seed_clamp_value(x, cfg)
|
| 440 |
+
seeds = build_seeds(X, W, cfg, clamp_val)
|
| 441 |
base_d, base_m = _phase2_wls(X, W, seeds, clamp_val)
|
| 442 |
|
| 443 |
candidate_errors = np.full((n_blocks, TOTAL_CANDIDATES), np.inf, dtype=np.float32)
|
|
|
|
| 490 |
|
| 491 |
if cfg.use_candidate_floor:
|
| 492 |
cd, cm, cls, clm = _candidate_config(
|
| 493 |
+
seeds["scales"][i], seeds["mins"][i], base_d[i], base_m[i], best[i]
|
|
|
|
|
|
|
|
|
|
| 494 |
)
|
| 495 |
ccodes = codes_from_params(X[i], cd, cm, cls, clm)
|
| 496 |
cobj, csse = objective(
|
seeds.py
CHANGED
|
@@ -157,18 +157,22 @@ def seed_weights(
|
|
| 157 |
|
| 158 |
|
| 159 |
def build_seeds(
|
| 160 |
-
x: np.ndarray,
|
|
|
|
|
|
|
|
|
|
| 161 |
) -> dict[str, np.ndarray]:
|
| 162 |
"""Phase-1 seeds for all blocks: per-sub (scale,min) and shared (d,dmin)."""
|
| 163 |
n_blocks = x.shape[0]
|
| 164 |
blocks = np.asarray(x, dtype=np.float64).reshape(n_blocks, 16, 16)
|
|
|
|
| 165 |
if importance is None:
|
| 166 |
sigma_sq = np.mean(blocks * blocks, axis=(1, 2), keepdims=True)
|
| 167 |
-
weights = np.sqrt(sigma_sq +
|
| 168 |
else:
|
| 169 |
weights = np.asarray(importance, dtype=np.float64).reshape(n_blocks, 16, 16)
|
| 170 |
|
| 171 |
-
flat_x =
|
| 172 |
flat_w = weights.reshape(-1, 16)
|
| 173 |
scales, mins, codes = make_qkx2_batch(flat_x, flat_w, nmax=3)
|
| 174 |
scales = scales.reshape(n_blocks, 16)
|
|
|
|
| 157 |
|
| 158 |
|
| 159 |
def build_seeds(
|
| 160 |
+
x: np.ndarray,
|
| 161 |
+
importance: np.ndarray | None,
|
| 162 |
+
cfg: HPCConfig,
|
| 163 |
+
clamp_val: float = float("inf"),
|
| 164 |
) -> dict[str, np.ndarray]:
|
| 165 |
"""Phase-1 seeds for all blocks: per-sub (scale,min) and shared (d,dmin)."""
|
| 166 |
n_blocks = x.shape[0]
|
| 167 |
blocks = np.asarray(x, dtype=np.float64).reshape(n_blocks, 16, 16)
|
| 168 |
+
clipped = np.clip(blocks, -clamp_val, clamp_val)
|
| 169 |
if importance is None:
|
| 170 |
sigma_sq = np.mean(blocks * blocks, axis=(1, 2), keepdims=True)
|
| 171 |
+
weights = np.sqrt(sigma_sq + clipped * clipped)
|
| 172 |
else:
|
| 173 |
weights = np.asarray(importance, dtype=np.float64).reshape(n_blocks, 16, 16)
|
| 174 |
|
| 175 |
+
flat_x = clipped.reshape(-1, 16)
|
| 176 |
flat_w = weights.reshape(-1, 16)
|
| 177 |
scales, mins, codes = make_qkx2_batch(flat_x, flat_w, nmax=3)
|
| 178 |
scales = scales.reshape(n_blocks, 16)
|
spectral.py
CHANGED
|
@@ -13,27 +13,37 @@ D6/vesica greedy code descent.
|
|
| 13 |
|
| 14 |
from __future__ import annotations
|
| 15 |
|
|
|
|
|
|
|
| 16 |
import numpy as np
|
| 17 |
|
| 18 |
from .config import HPCConfig
|
| 19 |
-
from .q2k import QK_K, dequantize_params
|
| 20 |
|
| 21 |
|
| 22 |
-
|
|
|
|
| 23 |
levels = int(np.log2(n))
|
| 24 |
if (1 << levels) != n:
|
| 25 |
raise ValueError("fold pyramid requires a power-of-two length")
|
| 26 |
weights = np.zeros(levels, dtype=np.float64)
|
| 27 |
-
|
| 28 |
for k in range(1, levels + 1):
|
| 29 |
if k == levels:
|
| 30 |
-
weights[k - 1] =
|
| 31 |
-
elif k <=
|
| 32 |
-
weights[k - 1] = (
|
| 33 |
-
|
|
|
|
| 34 |
return weights
|
| 35 |
|
| 36 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 37 |
def fold_build(errors: np.ndarray) -> np.ndarray:
|
| 38 |
e = np.asarray(errors, dtype=np.float64)
|
| 39 |
n = e.size
|
|
|
|
| 13 |
|
| 14 |
from __future__ import annotations
|
| 15 |
|
| 16 |
+
from functools import lru_cache
|
| 17 |
+
|
| 18 |
import numpy as np
|
| 19 |
|
| 20 |
from .config import HPCConfig
|
| 21 |
+
from .q2k import QK_K, dequantize_params
|
| 22 |
|
| 23 |
|
| 24 |
+
@lru_cache(maxsize=64)
|
| 25 |
+
def _fold_weights_cached(n: int, dc_lambda: float, vw_lambda: float, depth: int, gamma: float) -> np.ndarray:
|
| 26 |
levels = int(np.log2(n))
|
| 27 |
if (1 << levels) != n:
|
| 28 |
raise ValueError("fold pyramid requires a power-of-two length")
|
| 29 |
weights = np.zeros(levels, dtype=np.float64)
|
| 30 |
+
g = 1.0
|
| 31 |
for k in range(1, levels + 1):
|
| 32 |
if k == levels:
|
| 33 |
+
weights[k - 1] = dc_lambda / n
|
| 34 |
+
elif k <= depth:
|
| 35 |
+
weights[k - 1] = (vw_lambda / n) * g
|
| 36 |
+
g *= gamma
|
| 37 |
+
weights.setflags(write=False)
|
| 38 |
return weights
|
| 39 |
|
| 40 |
|
| 41 |
+
def fold_weights(n: int, cfg: HPCConfig) -> np.ndarray:
|
| 42 |
+
return _fold_weights_cached(
|
| 43 |
+
n, cfg.dc_lambda, cfg.vw_lambda, cfg.fold_depth, cfg.fold_gamma
|
| 44 |
+
)
|
| 45 |
+
|
| 46 |
+
|
| 47 |
def fold_build(errors: np.ndarray) -> np.ndarray:
|
| 48 |
e = np.asarray(errors, dtype=np.float64)
|
| 49 |
n = e.size
|
viterbi.py
CHANGED
|
@@ -76,16 +76,17 @@ def viterbi_select(
|
|
| 76 |
stop = min((gi + 1) * stride, n_blocks)
|
| 77 |
group = candidate_errors[start:stop].astype(np.float64)
|
| 78 |
flat = group.ravel()
|
|
|
|
| 79 |
finite = np.isfinite(flat)
|
| 80 |
group_min = np.full(N_STATES, np.inf)
|
| 81 |
if np.any(finite):
|
| 82 |
-
np.minimum.at(group_min,
|
| 83 |
-
counts = np.bincount(
|
| 84 |
sums = np.zeros(N_STATES, dtype=np.float64)
|
| 85 |
if np.any(finite):
|
| 86 |
-
shifted = flat[finite] - group_min[
|
| 87 |
amps = np.exp(-shifted / (2.0 * temp))
|
| 88 |
-
sums = np.bincount(
|
| 89 |
valid = (counts > 0) & np.isfinite(group_min)
|
| 90 |
if np.any(valid):
|
| 91 |
mean_exp = np.maximum(sums[valid] / counts[valid], 1.0e-300)
|
|
@@ -140,7 +141,7 @@ def viterbi_select(
|
|
| 140 |
for gi in range(graph_blocks - 2, -1, -1):
|
| 141 |
path[gi] = back[gi + 1, path[gi + 1]]
|
| 142 |
|
| 143 |
-
best_candidate = np.
|
| 144 |
for gi in range(graph_blocks):
|
| 145 |
s = int(path[gi])
|
| 146 |
qd, qm = s // 6, s % 6
|
|
|
|
| 76 |
stop = min((gi + 1) * stride, n_blocks)
|
| 77 |
group = candidate_errors[start:stop].astype(np.float64)
|
| 78 |
flat = group.ravel()
|
| 79 |
+
bins_flat = np.tile(bins, group.shape[0])
|
| 80 |
finite = np.isfinite(flat)
|
| 81 |
group_min = np.full(N_STATES, np.inf)
|
| 82 |
if np.any(finite):
|
| 83 |
+
np.minimum.at(group_min, bins_flat[finite], flat[finite])
|
| 84 |
+
counts = np.bincount(bins_flat[finite], minlength=N_STATES)
|
| 85 |
sums = np.zeros(N_STATES, dtype=np.float64)
|
| 86 |
if np.any(finite):
|
| 87 |
+
shifted = flat[finite] - group_min[bins_flat[finite]]
|
| 88 |
amps = np.exp(-shifted / (2.0 * temp))
|
| 89 |
+
sums = np.bincount(bins_flat[finite], weights=amps, minlength=N_STATES)
|
| 90 |
valid = (counts > 0) & np.isfinite(group_min)
|
| 91 |
if np.any(valid):
|
| 92 |
mean_exp = np.maximum(sums[valid] / counts[valid], 1.0e-300)
|
|
|
|
| 141 |
for gi in range(graph_blocks - 2, -1, -1):
|
| 142 |
path[gi] = back[gi + 1, path[gi + 1]]
|
| 143 |
|
| 144 |
+
best_candidate = np.argmin(candidate_errors, axis=1).astype(np.int64)
|
| 145 |
for gi in range(graph_blocks):
|
| 146 |
s = int(path[gi])
|
| 147 |
qd, qm = s // 6, s % 6
|