-
Notifications
You must be signed in to change notification settings - Fork 309
/
fse_encoder.go
701 lines (654 loc) · 18.3 KB
/
fse_encoder.go
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
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
// Copyright 2019+ Klaus Post. All rights reserved.
// License information can be found in the LICENSE file.
// Based on work by Yann Collet, released under BSD License.
package zstd
import (
"errors"
"fmt"
"math"
)
const (
// For encoding we only support up to
maxEncTableLog = 8
maxEncTablesize = 1 << maxTableLog
maxEncTableMask = (1 << maxTableLog) - 1
minEncTablelog = 5
maxEncSymbolValue = maxMatchLengthSymbol
)
// Scratch provides temporary storage for compression and decompression.
type fseEncoder struct {
symbolLen uint16 // Length of active part of the symbol table.
actualTableLog uint8 // Selected tablelog.
ct cTable // Compression tables.
maxCount int // count of the most probable symbol
zeroBits bool // no bits has prob > 50%.
clearCount bool // clear count
useRLE bool // This encoder is for RLE
preDefined bool // This encoder is predefined.
reUsed bool // Set to know when the encoder has been reused.
rleVal uint8 // RLE Symbol
maxBits uint8 // Maximum output bits after transform.
// TODO: Technically zstd should be fine with 64 bytes.
count [256]uint32
norm [256]int16
}
// cTable contains tables used for compression.
type cTable struct {
tableSymbol []byte
stateTable []uint16
symbolTT []symbolTransform
}
// symbolTransform contains the state transform for a symbol.
type symbolTransform struct {
deltaNbBits uint32
deltaFindState int16
outBits uint8
}
// String prints values as a human readable string.
func (s symbolTransform) String() string {
return fmt.Sprintf("{deltabits: %08x, findstate:%d outbits:%d}", s.deltaNbBits, s.deltaFindState, s.outBits)
}
// Histogram allows to populate the histogram and skip that step in the compression,
// It otherwise allows to inspect the histogram when compression is done.
// To indicate that you have populated the histogram call HistogramFinished
// with the value of the highest populated symbol, as well as the number of entries
// in the most populated entry. These are accepted at face value.
func (s *fseEncoder) Histogram() *[256]uint32 {
return &s.count
}
// HistogramFinished can be called to indicate that the histogram has been populated.
// maxSymbol is the index of the highest set symbol of the next data segment.
// maxCount is the number of entries in the most populated entry.
// These are accepted at face value.
func (s *fseEncoder) HistogramFinished(maxSymbol uint8, maxCount int) {
s.maxCount = maxCount
s.symbolLen = uint16(maxSymbol) + 1
s.clearCount = maxCount != 0
}
// allocCtable will allocate tables needed for compression.
// If existing tables a re big enough, they are simply re-used.
func (s *fseEncoder) allocCtable() {
tableSize := 1 << s.actualTableLog
// get tableSymbol that is big enough.
if cap(s.ct.tableSymbol) < tableSize {
s.ct.tableSymbol = make([]byte, tableSize)
}
s.ct.tableSymbol = s.ct.tableSymbol[:tableSize]
ctSize := tableSize
if cap(s.ct.stateTable) < ctSize {
s.ct.stateTable = make([]uint16, ctSize)
}
s.ct.stateTable = s.ct.stateTable[:ctSize]
if cap(s.ct.symbolTT) < 256 {
s.ct.symbolTT = make([]symbolTransform, 256)
}
s.ct.symbolTT = s.ct.symbolTT[:256]
}
// buildCTable will populate the compression table so it is ready to be used.
func (s *fseEncoder) buildCTable() error {
tableSize := uint32(1 << s.actualTableLog)
highThreshold := tableSize - 1
var cumul [256]int16
s.allocCtable()
tableSymbol := s.ct.tableSymbol[:tableSize]
// symbol start positions
{
cumul[0] = 0
for ui, v := range s.norm[:s.symbolLen-1] {
u := byte(ui) // one less than reference
if v == -1 {
// Low proba symbol
cumul[u+1] = cumul[u] + 1
tableSymbol[highThreshold] = u
highThreshold--
} else {
cumul[u+1] = cumul[u] + v
}
}
// Encode last symbol separately to avoid overflowing u
u := int(s.symbolLen - 1)
v := s.norm[s.symbolLen-1]
if v == -1 {
// Low proba symbol
cumul[u+1] = cumul[u] + 1
tableSymbol[highThreshold] = byte(u)
highThreshold--
} else {
cumul[u+1] = cumul[u] + v
}
if uint32(cumul[s.symbolLen]) != tableSize {
return fmt.Errorf("internal error: expected cumul[s.symbolLen] (%d) == tableSize (%d)", cumul[s.symbolLen], tableSize)
}
cumul[s.symbolLen] = int16(tableSize) + 1
}
// Spread symbols
s.zeroBits = false
{
step := tableStep(tableSize)
tableMask := tableSize - 1
var position uint32
// if any symbol > largeLimit, we may have 0 bits output.
largeLimit := int16(1 << (s.actualTableLog - 1))
for ui, v := range s.norm[:s.symbolLen] {
symbol := byte(ui)
if v > largeLimit {
s.zeroBits = true
}
for nbOccurrences := int16(0); nbOccurrences < v; nbOccurrences++ {
tableSymbol[position] = symbol
position = (position + step) & tableMask
for position > highThreshold {
position = (position + step) & tableMask
} /* Low proba area */
}
}
// Check if we have gone through all positions
if position != 0 {
return errors.New("position!=0")
}
}
// Build table
table := s.ct.stateTable
{
tsi := int(tableSize)
for u, v := range tableSymbol {
// TableU16 : sorted by symbol order; gives next state value
table[cumul[v]] = uint16(tsi + u)
cumul[v]++
}
}
// Build Symbol Transformation Table
{
total := int16(0)
symbolTT := s.ct.symbolTT[:s.symbolLen]
tableLog := s.actualTableLog
tl := (uint32(tableLog) << 16) - (1 << tableLog)
for i, v := range s.norm[:s.symbolLen] {
switch v {
case 0:
case -1, 1:
symbolTT[i].deltaNbBits = tl
symbolTT[i].deltaFindState = total - 1
total++
default:
maxBitsOut := uint32(tableLog) - highBit(uint32(v-1))
minStatePlus := uint32(v) << maxBitsOut
symbolTT[i].deltaNbBits = (maxBitsOut << 16) - minStatePlus
symbolTT[i].deltaFindState = total - v
total += v
}
}
if total != int16(tableSize) {
return fmt.Errorf("total mismatch %d (got) != %d (want)", total, tableSize)
}
}
return nil
}
var rtbTable = [...]uint32{0, 473195, 504333, 520860, 550000, 700000, 750000, 830000}
func (s *fseEncoder) setRLE(val byte) {
s.allocCtable()
s.actualTableLog = 0
s.ct.stateTable = s.ct.stateTable[:1]
s.ct.symbolTT[val] = symbolTransform{
deltaFindState: 0,
deltaNbBits: 0,
}
if debugEncoder {
println("setRLE: val", val, "symbolTT", s.ct.symbolTT[val])
}
s.rleVal = val
s.useRLE = true
}
// setBits will set output bits for the transform.
// if nil is provided, the number of bits is equal to the index.
func (s *fseEncoder) setBits(transform []byte) {
if s.reUsed || s.preDefined {
return
}
if s.useRLE {
if transform == nil {
s.ct.symbolTT[s.rleVal].outBits = s.rleVal
s.maxBits = s.rleVal
return
}
s.maxBits = transform[s.rleVal]
s.ct.symbolTT[s.rleVal].outBits = s.maxBits
return
}
if transform == nil {
for i := range s.ct.symbolTT[:s.symbolLen] {
s.ct.symbolTT[i].outBits = uint8(i)
}
s.maxBits = uint8(s.symbolLen - 1)
return
}
s.maxBits = 0
for i, v := range transform[:s.symbolLen] {
s.ct.symbolTT[i].outBits = v
if v > s.maxBits {
// We could assume bits always going up, but we play safe.
s.maxBits = v
}
}
}
// normalizeCount will normalize the count of the symbols so
// the total is equal to the table size.
// If successful, compression tables will also be made ready.
func (s *fseEncoder) normalizeCount(length int) error {
if s.reUsed {
return nil
}
s.optimalTableLog(length)
var (
tableLog = s.actualTableLog
scale = 62 - uint64(tableLog)
step = (1 << 62) / uint64(length)
vStep = uint64(1) << (scale - 20)
stillToDistribute = int16(1 << tableLog)
largest int
largestP int16
lowThreshold = (uint32)(length >> tableLog)
)
if s.maxCount == length {
s.useRLE = true
return nil
}
s.useRLE = false
for i, cnt := range s.count[:s.symbolLen] {
// already handled
// if (count[s] == s.length) return 0; /* rle special case */
if cnt == 0 {
s.norm[i] = 0
continue
}
if cnt <= lowThreshold {
s.norm[i] = -1
stillToDistribute--
} else {
proba := (int16)((uint64(cnt) * step) >> scale)
if proba < 8 {
restToBeat := vStep * uint64(rtbTable[proba])
v := uint64(cnt)*step - (uint64(proba) << scale)
if v > restToBeat {
proba++
}
}
if proba > largestP {
largestP = proba
largest = i
}
s.norm[i] = proba
stillToDistribute -= proba
}
}
if -stillToDistribute >= (s.norm[largest] >> 1) {
// corner case, need another normalization method
err := s.normalizeCount2(length)
if err != nil {
return err
}
if debugAsserts {
err = s.validateNorm()
if err != nil {
return err
}
}
return s.buildCTable()
}
s.norm[largest] += stillToDistribute
if debugAsserts {
err := s.validateNorm()
if err != nil {
return err
}
}
return s.buildCTable()
}
// Secondary normalization method.
// To be used when primary method fails.
func (s *fseEncoder) normalizeCount2(length int) error {
const notYetAssigned = -2
var (
distributed uint32
total = uint32(length)
tableLog = s.actualTableLog
lowThreshold = total >> tableLog
lowOne = (total * 3) >> (tableLog + 1)
)
for i, cnt := range s.count[:s.symbolLen] {
if cnt == 0 {
s.norm[i] = 0
continue
}
if cnt <= lowThreshold {
s.norm[i] = -1
distributed++
total -= cnt
continue
}
if cnt <= lowOne {
s.norm[i] = 1
distributed++
total -= cnt
continue
}
s.norm[i] = notYetAssigned
}
toDistribute := (1 << tableLog) - distributed
if (total / toDistribute) > lowOne {
// risk of rounding to zero
lowOne = (total * 3) / (toDistribute * 2)
for i, cnt := range s.count[:s.symbolLen] {
if (s.norm[i] == notYetAssigned) && (cnt <= lowOne) {
s.norm[i] = 1
distributed++
total -= cnt
continue
}
}
toDistribute = (1 << tableLog) - distributed
}
if distributed == uint32(s.symbolLen)+1 {
// all values are pretty poor;
// probably incompressible data (should have already been detected);
// find max, then give all remaining points to max
var maxV int
var maxC uint32
for i, cnt := range s.count[:s.symbolLen] {
if cnt > maxC {
maxV = i
maxC = cnt
}
}
s.norm[maxV] += int16(toDistribute)
return nil
}
if total == 0 {
// all of the symbols were low enough for the lowOne or lowThreshold
for i := uint32(0); toDistribute > 0; i = (i + 1) % (uint32(s.symbolLen)) {
if s.norm[i] > 0 {
toDistribute--
s.norm[i]++
}
}
return nil
}
var (
vStepLog = 62 - uint64(tableLog)
mid = uint64((1 << (vStepLog - 1)) - 1)
rStep = (((1 << vStepLog) * uint64(toDistribute)) + mid) / uint64(total) // scale on remaining
tmpTotal = mid
)
for i, cnt := range s.count[:s.symbolLen] {
if s.norm[i] == notYetAssigned {
var (
end = tmpTotal + uint64(cnt)*rStep
sStart = uint32(tmpTotal >> vStepLog)
sEnd = uint32(end >> vStepLog)
weight = sEnd - sStart
)
if weight < 1 {
return errors.New("weight < 1")
}
s.norm[i] = int16(weight)
tmpTotal = end
}
}
return nil
}
// optimalTableLog calculates and sets the optimal tableLog in s.actualTableLog
func (s *fseEncoder) optimalTableLog(length int) {
tableLog := uint8(maxEncTableLog)
minBitsSrc := highBit(uint32(length)) + 1
minBitsSymbols := highBit(uint32(s.symbolLen-1)) + 2
minBits := uint8(minBitsSymbols)
if minBitsSrc < minBitsSymbols {
minBits = uint8(minBitsSrc)
}
maxBitsSrc := uint8(highBit(uint32(length-1))) - 2
if maxBitsSrc < tableLog {
// Accuracy can be reduced
tableLog = maxBitsSrc
}
if minBits > tableLog {
tableLog = minBits
}
// Need a minimum to safely represent all symbol values
if tableLog < minEncTablelog {
tableLog = minEncTablelog
}
if tableLog > maxEncTableLog {
tableLog = maxEncTableLog
}
s.actualTableLog = tableLog
}
// validateNorm validates the normalized histogram table.
func (s *fseEncoder) validateNorm() (err error) {
var total int
for _, v := range s.norm[:s.symbolLen] {
if v >= 0 {
total += int(v)
} else {
total -= int(v)
}
}
defer func() {
if err == nil {
return
}
fmt.Printf("selected TableLog: %d, Symbol length: %d\n", s.actualTableLog, s.symbolLen)
for i, v := range s.norm[:s.symbolLen] {
fmt.Printf("%3d: %5d -> %4d \n", i, s.count[i], v)
}
}()
if total != (1 << s.actualTableLog) {
return fmt.Errorf("warning: Total == %d != %d", total, 1<<s.actualTableLog)
}
for i, v := range s.count[s.symbolLen:] {
if v != 0 {
return fmt.Errorf("warning: Found symbol out of range, %d after cut", i)
}
}
return nil
}
// writeCount will write the normalized histogram count to header.
// This is read back by readNCount.
func (s *fseEncoder) writeCount(out []byte) ([]byte, error) {
if s.useRLE {
return append(out, s.rleVal), nil
}
if s.preDefined || s.reUsed {
// Never write predefined.
return out, nil
}
var (
tableLog = s.actualTableLog
tableSize = 1 << tableLog
previous0 bool
charnum uint16
// maximum header size plus 2 extra bytes for final output if bitCount == 0.
maxHeaderSize = ((int(s.symbolLen) * int(tableLog)) >> 3) + 3 + 2
// Write Table Size
bitStream = uint32(tableLog - minEncTablelog)
bitCount = uint(4)
remaining = int16(tableSize + 1) /* +1 for extra accuracy */
threshold = int16(tableSize)
nbBits = uint(tableLog + 1)
outP = len(out)
)
if cap(out) < outP+maxHeaderSize {
out = append(out, make([]byte, maxHeaderSize*3)...)
out = out[:len(out)-maxHeaderSize*3]
}
out = out[:outP+maxHeaderSize]
// stops at 1
for remaining > 1 {
if previous0 {
start := charnum
for s.norm[charnum] == 0 {
charnum++
}
for charnum >= start+24 {
start += 24
bitStream += uint32(0xFFFF) << bitCount
out[outP] = byte(bitStream)
out[outP+1] = byte(bitStream >> 8)
outP += 2
bitStream >>= 16
}
for charnum >= start+3 {
start += 3
bitStream += 3 << bitCount
bitCount += 2
}
bitStream += uint32(charnum-start) << bitCount
bitCount += 2
if bitCount > 16 {
out[outP] = byte(bitStream)
out[outP+1] = byte(bitStream >> 8)
outP += 2
bitStream >>= 16
bitCount -= 16
}
}
count := s.norm[charnum]
charnum++
max := (2*threshold - 1) - remaining
if count < 0 {
remaining += count
} else {
remaining -= count
}
count++ // +1 for extra accuracy
if count >= threshold {
count += max // [0..max[ [max..threshold[ (...) [threshold+max 2*threshold[
}
bitStream += uint32(count) << bitCount
bitCount += nbBits
if count < max {
bitCount--
}
previous0 = count == 1
if remaining < 1 {
return nil, errors.New("internal error: remaining < 1")
}
for remaining < threshold {
nbBits--
threshold >>= 1
}
if bitCount > 16 {
out[outP] = byte(bitStream)
out[outP+1] = byte(bitStream >> 8)
outP += 2
bitStream >>= 16
bitCount -= 16
}
}
if outP+2 > len(out) {
return nil, fmt.Errorf("internal error: %d > %d, maxheader: %d, sl: %d, tl: %d, normcount: %v", outP+2, len(out), maxHeaderSize, s.symbolLen, int(tableLog), s.norm[:s.symbolLen])
}
out[outP] = byte(bitStream)
out[outP+1] = byte(bitStream >> 8)
outP += int((bitCount + 7) / 8)
if charnum > s.symbolLen {
return nil, errors.New("internal error: charnum > s.symbolLen")
}
return out[:outP], nil
}
// Approximate symbol cost, as fractional value, using fixed-point format (accuracyLog fractional bits)
// note 1 : assume symbolValue is valid (<= maxSymbolValue)
// note 2 : if freq[symbolValue]==0, @return a fake cost of tableLog+1 bits *
func (s *fseEncoder) bitCost(symbolValue uint8, accuracyLog uint32) uint32 {
minNbBits := s.ct.symbolTT[symbolValue].deltaNbBits >> 16
threshold := (minNbBits + 1) << 16
if debugAsserts {
if !(s.actualTableLog < 16) {
panic("!s.actualTableLog < 16")
}
// ensure enough room for renormalization double shift
if !(uint8(accuracyLog) < 31-s.actualTableLog) {
panic("!uint8(accuracyLog) < 31-s.actualTableLog")
}
}
tableSize := uint32(1) << s.actualTableLog
deltaFromThreshold := threshold - (s.ct.symbolTT[symbolValue].deltaNbBits + tableSize)
// linear interpolation (very approximate)
normalizedDeltaFromThreshold := (deltaFromThreshold << accuracyLog) >> s.actualTableLog
bitMultiplier := uint32(1) << accuracyLog
if debugAsserts {
if s.ct.symbolTT[symbolValue].deltaNbBits+tableSize > threshold {
panic("s.ct.symbolTT[symbolValue].deltaNbBits+tableSize > threshold")
}
if normalizedDeltaFromThreshold > bitMultiplier {
panic("normalizedDeltaFromThreshold > bitMultiplier")
}
}
return (minNbBits+1)*bitMultiplier - normalizedDeltaFromThreshold
}
// Returns the cost in bits of encoding the distribution in count using ctable.
// Histogram should only be up to the last non-zero symbol.
// Returns an -1 if ctable cannot represent all the symbols in count.
func (s *fseEncoder) approxSize(hist []uint32) uint32 {
if int(s.symbolLen) < len(hist) {
// More symbols than we have.
return math.MaxUint32
}
if s.useRLE {
// We will never reuse RLE encoders.
return math.MaxUint32
}
const kAccuracyLog = 8
badCost := (uint32(s.actualTableLog) + 1) << kAccuracyLog
var cost uint32
for i, v := range hist {
if v == 0 {
continue
}
if s.norm[i] == 0 {
return math.MaxUint32
}
bitCost := s.bitCost(uint8(i), kAccuracyLog)
if bitCost > badCost {
return math.MaxUint32
}
cost += v * bitCost
}
return cost >> kAccuracyLog
}
// maxHeaderSize returns the maximum header size in bits.
// This is not exact size, but we want a penalty for new tables anyway.
func (s *fseEncoder) maxHeaderSize() uint32 {
if s.preDefined {
return 0
}
if s.useRLE {
return 8
}
return (((uint32(s.symbolLen) * uint32(s.actualTableLog)) >> 3) + 3) * 8
}
// cState contains the compression state of a stream.
type cState struct {
bw *bitWriter
stateTable []uint16
state uint16
}
// init will initialize the compression state to the first symbol of the stream.
func (c *cState) init(bw *bitWriter, ct *cTable, first symbolTransform) {
c.bw = bw
c.stateTable = ct.stateTable
if len(c.stateTable) == 1 {
// RLE
c.stateTable[0] = uint16(0)
c.state = 0
return
}
nbBitsOut := (first.deltaNbBits + (1 << 15)) >> 16
im := int32((nbBitsOut << 16) - first.deltaNbBits)
lu := (im >> nbBitsOut) + int32(first.deltaFindState)
c.state = c.stateTable[lu]
}
// flush will write the tablelog to the output and flush the remaining full bytes.
func (c *cState) flush(tableLog uint8) {
c.bw.flush32()
c.bw.addBits16NC(c.state, tableLog)
}