File size: 18,388 Bytes
751ad26
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
from __future__ import annotations

import numpy as np

from .config import DotCacheConfig
from .planner import PageModeSpec
from .modes.m0_affine import quantize_tensor
from .modes.m1_lut import quantize_tensor_lut
from .modes.m2_key_sketch import quantize_tensor_m2, reconstruct_group_m2
from .modes.m4_key_project import quantize_tensor_m4, reconstruct_group_m4
from .modes.m3_escape import encode_escape_storage
from .modes.turbo3 import quantize_tensor_turbo3
from .page_format import build_payload
from .packing import words_per_group
from .types import EncodedPage, Kind, PageHeader

DEFAULT_RUNTIME_SKETCH_ROWS = 4


def _reconstruct_lut_page(codes: np.ndarray, codebooks: np.ndarray) -> np.ndarray:
    token_count, num_groups, group_size = codes.shape
    dense = np.zeros((token_count, num_groups * group_size), dtype=np.float32)
    for group_index in range(num_groups):
        start = group_index * group_size
        end = start + group_size
        group_codebook = codebooks[group_index].astype(np.float32)
        if group_codebook.ndim == 1:
            dense[:, start:end] = group_codebook[codes[:, group_index].astype(np.int64)]
        else:
            segment_count = group_codebook.shape[0]
            segment_ids = (np.arange(token_count, dtype=np.int64) * segment_count) // max(token_count, 1)
            dense[:, start:end] = group_codebook[segment_ids[:, None], codes[:, group_index].astype(np.int64)]
    return dense


def _reconstruct_m2_page(coeffs: np.ndarray, basis: np.ndarray, mean: np.ndarray | None, *, group_size: int) -> np.ndarray:
    token_count, num_groups, _ = coeffs.shape
    dense = np.zeros((token_count, num_groups * group_size), dtype=np.float32)
    for group_index in range(num_groups):
        start = group_index * group_size
        end = start + group_size
        dense[:, start:end] = reconstruct_group_m2(
            coeffs[:, group_index, :],
            basis=basis[group_index],
            mean=None if mean is None else mean[group_index],
        )
    return dense


def _reconstruct_m4_page(coeffs: np.ndarray, mean: np.ndarray, *, group_size: int) -> np.ndarray:
    token_count, num_groups, _ = coeffs.shape
    dense = np.zeros((token_count, num_groups * group_size), dtype=np.float32)
    for group_index in range(num_groups):
        start = group_index * group_size
        end = start + group_size
        dense[:, start:end] = reconstruct_group_m4(
            coeffs[:, group_index, :],
            mean=mean[group_index],
            group_size=group_size,
        )
    return dense


def _build_runtime_page_sketch(values: np.ndarray, *, sketch_rows: int = DEFAULT_RUNTIME_SKETCH_ROWS) -> tuple[np.ndarray, np.ndarray]:
    rows = min(max(1, sketch_rows), values.shape[0])
    chunks = np.array_split(values, rows, axis=0)
    sketch = np.stack([chunk.mean(axis=0) for chunk in chunks], axis=0).astype(np.float16)
    page_mean = values.mean(axis=0).astype(np.float16)
    return page_mean, sketch


def _build_runtime_page_envelope(values: np.ndarray) -> tuple[np.ndarray, np.ndarray]:
    page_min = values.min(axis=0).astype(np.float16)
    page_max = values.max(axis=0).astype(np.float16)
    return page_min, page_max


def _candidate_m2_segment_counts(max_segment_count: int) -> list[int]:
    max_count = max(1, int(max_segment_count))
    counts = [1]
    candidate = 2
    while candidate < max_count:
        counts.append(candidate)
        candidate *= 2
    if max_count not in counts:
        counts.append(max_count)
    return counts


def _encode_m2_tensor(values: np.ndarray, config: DotCacheConfig) -> tuple[np.ndarray, np.ndarray, np.ndarray, int]:
    best_coeffs, best_basis, best_mean, padded_head_dim = quantize_tensor_m2(
        values,
        group_size=config.group_size,
        sketch_dim=config.m2_sketch_dim_k,
        center=config.m2_center_k,
        segment_count=1 if config.m2_adaptive_segments_k else config.m2_segment_count_k,
    )
    if not config.m2_adaptive_segments_k or config.m2_segment_count_k <= 1:
        return best_coeffs, best_basis, best_mean, padded_head_dim

    baseline = _reconstruct_m2_page(best_coeffs, best_basis, best_mean, group_size=config.group_size)[:, : config.head_dim]
    rms = float(np.sqrt(np.mean(np.square(values), dtype=np.float64)))
    best_error = float(np.mean(np.abs(values - baseline), dtype=np.float64) / max(rms, 1e-6))

    for segment_count in _candidate_m2_segment_counts(config.m2_segment_count_k)[1:]:
        coeffs, basis, mean, padded_head_dim = quantize_tensor_m2(
            values,
            group_size=config.group_size,
            sketch_dim=config.m2_sketch_dim_k,
            center=config.m2_center_k,
            segment_count=segment_count,
        )
        reconstructed = _reconstruct_m2_page(coeffs, basis, mean, group_size=config.group_size)[:, : config.head_dim]
        trial_error = float(np.mean(np.abs(values - reconstructed), dtype=np.float64) / max(rms, 1e-6))
        if (best_error - trial_error) / max(best_error, 1e-6) >= config.m2_adaptive_min_improvement_k:
            best_coeffs, best_basis, best_mean = coeffs, basis, mean
            best_error = trial_error

    return best_coeffs, best_basis, best_mean, padded_head_dim


def encode_page(
    tensor_slice: np.ndarray,
    config: DotCacheConfig,
    *,
    kind: Kind,
    layer_id: int = 0,
    kv_head_id: int = 0,
    token_start: int = 0,
    mode: str | None = None,
    page_mode: PageModeSpec | None = None,
    layout: str | None = None,
    quant_scheme: str | None = None,
    build_runtime_metadata: bool = True,
    build_m2_sidecar: bool | None = None,
    m4_basis_override: np.ndarray | None = None,
) -> EncodedPage:
    values = np.asarray(tensor_slice, dtype=np.float32)
    if values.ndim != 2:
        raise ValueError("tensor_slice must have shape [token_count, head_dim]")
    if values.shape[1] != config.head_dim:
        raise ValueError("tensor_slice head_dim must match config.head_dim")

    bits = config.bits_k if kind == "K" else config.bits_v
    default_mode = config.default_mode_k if kind == "K" else config.default_mode_v
    selected_page_mode = page_mode
    page_mode_name = selected_page_mode.mode if selected_page_mode is not None else (mode or default_mode)
    if selected_page_mode is not None:
        bits = int(selected_page_mode.bits)
    page_layout = layout or (config.payload_layout_k if kind == "K" else config.payload_layout_v)
    scheme = (
        selected_page_mode.quant_scheme
        if selected_page_mode is not None
        else quant_scheme or (config.quant_scheme_k if kind == "K" else config.quant_scheme_v)
    )
    token_count = values.shape[0]
    requested_mode = page_mode_name
    trial_quant_error = None
    runtime_page_mean = None
    runtime_page_sketch = None
    runtime_page_min = None
    runtime_page_max = None
    if build_runtime_metadata:
        runtime_page_mean, runtime_page_sketch = _build_runtime_page_sketch(values)
        runtime_page_min, runtime_page_max = _build_runtime_page_envelope(values)

    def _build_m2_sidecar() -> tuple[np.ndarray | None, np.ndarray | None, np.ndarray | None]:
        sidecar_enabled = config.m2_prefilter_top_k > 0 if build_m2_sidecar is None else bool(build_m2_sidecar)
        if kind != "K" or not sidecar_enabled:
            return None, None, None
        coeffs, basis, mean, _ = _encode_m2_tensor(values, config)
        return (
            coeffs.astype(np.float16, copy=False),
            basis.astype(np.float16, copy=False),
            mean.astype(np.float16, copy=False),
        )

    header_kwargs = {
        "policy_id": selected_page_mode.policy_id if selected_page_mode is not None else "exact_baseline",
        "sensitivity_tier": selected_page_mode.sensitivity_tier if selected_page_mode is not None else "exact",
        "fallback_reason": selected_page_mode.fallback_reason if selected_page_mode is not None else "",
        "age_bucket": selected_page_mode.age_bucket if selected_page_mode is not None else "aged",
    }

    if page_mode_name == "M3":
        escape_dtype = (
            selected_page_mode.escape_dtype
            if selected_page_mode is not None and selected_page_mode.escape_dtype is not None
            else config.escape_dtype
        )
        header = PageHeader(
            layer_id=layer_id,
            kv_head_id=kv_head_id,
            kind=kind,
            token_start=token_start,
            token_count=token_count,
            head_dim=config.head_dim,
            padded_head_dim=config.padded_head_dim,
            group_size=config.group_size,
            num_groups=config.num_groups,
            bits=bits,
            words_per_group=words_per_group(config.group_size, bits),
            mode_default="M3",
            layout=page_layout,
            quant_scheme=scheme,
            **header_kwargs,
            escape_dtype=escape_dtype,
        )
        escape_payload, escape_scales = encode_escape_storage(values, dtype=escape_dtype)
        return EncodedPage(
            header=header,
            escape_payload=escape_payload,
            escape_scales=escape_scales,
            requested_mode=page_mode,
            runtime_page_mean=runtime_page_mean,
            runtime_page_sketch=runtime_page_sketch,
            runtime_page_min=runtime_page_min,
            runtime_page_max=runtime_page_max,
        )

    trial_token_p95_error = None

    if page_mode_name == "M2":
        if kind != "K":
            raise ValueError("M2 is only supported for K pages in this phase")
        coeffs, basis, mean, padded_head_dim = _encode_m2_tensor(values, config)
        header = PageHeader(
            layer_id=layer_id,
            kv_head_id=kv_head_id,
            kind=kind,
            token_start=token_start,
            token_count=token_count,
            head_dim=config.head_dim,
            padded_head_dim=padded_head_dim,
            group_size=config.group_size,
            num_groups=config.num_groups,
            bits=bits,
            words_per_group=0,
            mode_default="M2",
            layout=page_layout,
            quant_scheme="sketch",
            **header_kwargs,
            escape_dtype=config.escape_dtype,
        )
        return EncodedPage(
            header=header,
            m2_sketch=coeffs.astype(np.float16, copy=False),
            m2_basis=basis.astype(np.float16, copy=False),
            m2_mean=mean.astype(np.float16, copy=False),
            requested_mode=page_mode,
            runtime_page_mean=runtime_page_mean,
            runtime_page_sketch=runtime_page_sketch,
            runtime_page_min=runtime_page_min,
            runtime_page_max=runtime_page_max,
        )

    if page_mode_name == "M4":
        if kind != "K":
            raise ValueError("M4 is only supported for K pages in this phase")
        coeffs, basis, mean, padded_head_dim = quantize_tensor_m4(
            values,
            group_size=config.group_size,
            project_dim=config.resolve_m4_project_dim_k(layer_id=layer_id),
            basis_family=config.resolve_m4_project_basis_k(layer_id=layer_id),
            basis_override=m4_basis_override,
        )
        header = PageHeader(
            layer_id=layer_id,
            kv_head_id=kv_head_id,
            kind=kind,
            token_start=token_start,
            token_count=token_count,
            head_dim=config.head_dim,
            padded_head_dim=padded_head_dim,
            group_size=config.group_size,
            num_groups=config.num_groups,
            bits=bits,
            words_per_group=0,
            mode_default="M4",
            layout=page_layout,
            quant_scheme="project",
            project_basis=config.resolve_m4_project_basis_k(layer_id=layer_id),
            **header_kwargs,
            escape_dtype=config.escape_dtype,
        )
        return EncodedPage(
            header=header,
            m2_sketch=coeffs.astype(np.float16, copy=False),
            m2_basis=None if basis is None else basis.astype(np.float16, copy=False),
            m2_mean=mean.astype(np.float16, copy=False),
            requested_mode=page_mode,
            runtime_page_mean=runtime_page_mean,
            runtime_page_sketch=runtime_page_sketch,
            runtime_page_min=runtime_page_min,
            runtime_page_max=runtime_page_max,
        )

    if page_mode_name == "M1":
        codes, codebooks, padded_head_dim = quantize_tensor_lut(
            values,
            group_size=config.group_size,
            bits=bits,
            segment_count=config.m1_segment_count_k if kind == "K" else config.m1_segment_count_v,
            refine_steps=config.lut_refine_steps,
            preconditioner=config.preconditioner,
            precondition_strength=config.precondition_strength,
        )
        if config.m1_fallback_to_m0:
            reconstructed = _reconstruct_lut_page(codes, codebooks)[:, : config.head_dim]
            rms = float(np.sqrt(np.mean(np.square(values), dtype=np.float64)))
            trial_quant_error = float(np.mean(np.abs(values - reconstructed), dtype=np.float64) / max(rms, 1e-6))
            token_norms = np.linalg.norm(values, axis=1)
            token_rel_error = np.linalg.norm(values - reconstructed, axis=1) / np.maximum(token_norms, 1e-6)
            trial_token_p95_error = float(np.percentile(token_rel_error, 95))
            if (
                trial_quant_error > config.m1_error_threshold
                or trial_token_p95_error > config.m1_token_p95_error_threshold
            ):
                page_mode_name = "M0"
                scheme = "affine"
        if page_mode_name == "M1":
            sidecar_sketch, sidecar_basis, sidecar_mean = _build_m2_sidecar()
            payload = build_payload(codes, bits, page_layout)
            header = PageHeader(
                layer_id=layer_id,
                kv_head_id=kv_head_id,
                kind=kind,
                token_start=token_start,
                token_count=token_count,
                head_dim=config.head_dim,
                padded_head_dim=padded_head_dim,
                group_size=config.group_size,
                num_groups=config.num_groups,
                bits=bits,
                words_per_group=words_per_group(config.group_size, bits),
                mode_default="M1",
                layout=page_layout,
                quant_scheme="lut",
                **header_kwargs,
                escape_dtype=config.escape_dtype,
            )
            return EncodedPage(
                header=header,
                payload=payload,
                codebooks=codebooks.astype(np.float16),
                m2_sketch=sidecar_sketch,
                m2_basis=sidecar_basis,
                m2_mean=sidecar_mean,
                lut_segment_count=int(codebooks.shape[1]) if codebooks.ndim == 3 else 1,
                requested_mode=requested_mode,
                trial_quant_error=trial_quant_error,
                trial_token_p95_error=trial_token_p95_error,
                runtime_page_mean=runtime_page_mean,
                runtime_page_sketch=runtime_page_sketch,
                runtime_page_min=runtime_page_min,
                runtime_page_max=runtime_page_max,
        )

    if page_mode_name == "T3":
        codes, correction, centroids, padded_head_dim = quantize_tensor_turbo3(
            values,
            group_size=config.group_size,
        )
        sidecar_sketch, sidecar_basis, sidecar_mean = _build_m2_sidecar()
        payload = build_payload(codes, 3, page_layout)
        header = PageHeader(
            layer_id=layer_id,
            kv_head_id=kv_head_id,
            kind=kind,
            token_start=token_start,
            token_count=token_count,
            head_dim=config.head_dim,
            padded_head_dim=padded_head_dim,
            group_size=config.group_size,
            num_groups=config.num_groups,
            bits=3,
            words_per_group=words_per_group(config.group_size, 3),
            mode_default="T3",
            layout=page_layout,
            quant_scheme="turbo3",
            **header_kwargs,
            escape_dtype=config.escape_dtype,
        )
        return EncodedPage(
            header=header,
            payload=payload,
            scales=correction,
            codebooks=centroids,
            m2_sketch=sidecar_sketch,
            m2_basis=sidecar_basis,
            m2_mean=sidecar_mean,
            requested_mode=requested_mode,
            runtime_page_mean=runtime_page_mean,
            runtime_page_sketch=runtime_page_sketch,
            runtime_page_min=runtime_page_min,
            runtime_page_max=runtime_page_max,
        )

    if page_mode_name != "M0":
        raise ValueError("only M0, M1, M2, M3, M4, and T3 are supported in this bootstrap")

    codes, scales, bias, padded_head_dim = quantize_tensor(
        values,
        group_size=config.group_size,
        bits=bits,
        scheme=scheme,
    )
    payload = build_payload(codes, bits, page_layout)
    header = PageHeader(
        layer_id=layer_id,
        kv_head_id=kv_head_id,
        kind=kind,
        token_start=token_start,
        token_count=token_count,
        head_dim=config.head_dim,
        padded_head_dim=padded_head_dim,
        group_size=config.group_size,
        num_groups=config.num_groups,
        bits=bits,
        words_per_group=words_per_group(config.group_size, bits),
        mode_default="M0",
        layout=page_layout,
        quant_scheme=scheme,
        **header_kwargs,
        escape_dtype=config.escape_dtype,
    )
    stored_scales = scales.astype(np.float16)
    stored_bias = None if bias is None else bias.astype(np.float16)
    sidecar_sketch, sidecar_basis, sidecar_mean = _build_m2_sidecar()
    return EncodedPage(
        header=header,
        payload=payload,
        scales=stored_scales,
        bias=stored_bias,
        m2_sketch=sidecar_sketch,
        m2_basis=sidecar_basis,
        m2_mean=sidecar_mean,
        requested_mode=requested_mode,
        trial_quant_error=trial_quant_error,
        trial_token_p95_error=trial_token_p95_error if "trial_token_p95_error" in locals() else None,
        runtime_page_mean=runtime_page_mean,
        runtime_page_sketch=runtime_page_sketch,
        runtime_page_min=runtime_page_min,
        runtime_page_max=runtime_page_max,
    )