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
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
|
/* Copyright (C) 2007 Josh MacDonald */
#include "test.h"
#include <assert.h>
#include <list>
#include <vector>
#include <algorithm>
#include "../cpp-btree/btree_map.h"
extern "C" {
uint32_t xd3_large32_cksum_old (xd3_hash_cfg *cfg, const uint8_t *base, const usize_t look);
uint32_t xd3_large32_cksum_update_old (xd3_hash_cfg *cfg, uint32_t cksum,
const uint8_t *base, const usize_t look);
uint64_t xd3_large64_cksum_old (xd3_hash_cfg *cfg, const uint8_t *base, const usize_t look);
uint64_t xd3_large64_cksum_update_old (xd3_hash_cfg *cfg, uint64_t cksum,
const uint8_t *base, const usize_t look);
}
using btree::btree_map;
using std::list;
using std::vector;
// MLCG parameters
// a, a*
uint32_t good_32bit_values[] = {
1597334677U, // ...
741103597U, 887987685U,
};
// a, a*
uint64_t good_64bit_values[] = {
1181783497276652981ULL, 4292484099903637661ULL,
7664345821815920749ULL, // ...
};
void print_header() {
static int hdr_cnt = 0;
if (hdr_cnt++ % 20 == 0) {
printf("%-32sConf\t\tCount\tUniq\tFull\tCover\tColls"
"\tMB/s\tIters\t#Colls\n", "Name");
}
}
struct true_type { };
struct false_type { };
template <typename Word>
usize_t bitsof();
template<>
usize_t bitsof<unsigned int>() {
return sizeof(unsigned int) * 8;
}
template<>
usize_t bitsof<unsigned long>() {
return sizeof(unsigned long) * 8;
}
template<>
usize_t bitsof<unsigned long long>() {
return sizeof(unsigned long long) * 8;
}
template <typename Word>
struct hhash { // shift "s" bits leaving the high bits as a hash value for
// this checksum, which are the most "distant" in terms of the
// spectral test for the rabin_karp MLCG. For short windows,
// the high bits aren't enough, XOR "mask" worth of these in.
Word operator()(const Word t, const Word s, const Word mask) {
return (t >> s) ^ (t & mask);
}
};
template <typename Word>
Word good_word();
template<>
uint32_t good_word<uint32_t>() {
return good_32bit_values[0];
}
template<>
uint64_t good_word<uint64_t>() {
return good_64bit_values[0];
}
// CLASSES
#define SELF Word, CksumSize, CksumSkip, Hash, Compaction
#define MEMBER template <typename Word, \
int CksumSize, \
int CksumSkip, \
typename Hash, \
int Compaction>
MEMBER
struct cksum_params {
typedef Word word_type;
typedef Hash hash_type;
static const int cksum_size = CksumSize;
static const int cksum_skip = CksumSkip;
static const int compaction = Compaction;
};
MEMBER
struct rabin_karp : public cksum_params<SELF> {
// (a^cksum_size-1 c_0) + (a^cksum_size-2 c_1) ...
rabin_karp()
: powers(make_powers()),
product(powers[0] * good_word<Word>()),
incr_state(0) { }
static Word* make_powers() {
Word *p = new Word[CksumSize];
p[CksumSize - 1] = 1;
for (int i = CksumSize - 2; i >= 0; i--) {
p[i] = p[i + 1] * good_word<Word>();
}
return p;
}
~rabin_karp() {
delete [] powers;
}
Word step(const uint8_t *ptr) {
Word h = 0;
for (int i = 0; i < CksumSize; i++) {
h += (ptr[i]) * powers[i];
}
return h;
}
Word state0(const uint8_t *ptr) {
incr_state = step(ptr);
return incr_state;
}
Word incr(const uint8_t *ptr) {
incr_state = good_word<Word>() * incr_state -
product * (ptr[-1]) + (ptr[CksumSize - 1]);
return incr_state;
}
const Word *const powers;
const Word product;
Word incr_state;
};
MEMBER
struct with_stream : public cksum_params<SELF> {
xd3_stream stream;
with_stream()
{
xd3_config cfg;
memset (&stream, 0, sizeof (stream));
xd3_init_config (&cfg, 0);
cfg.smatch_cfg = XD3_SMATCH_SOFT;
cfg.smatcher_soft.large_look = CksumSize;
cfg.smatcher_soft.large_step = CksumSkip;
cfg.smatcher_soft.small_look = 4;
cfg.smatcher_soft.small_chain = 4;
cfg.smatcher_soft.small_lchain = 4;
cfg.smatcher_soft.max_lazy = 4;
cfg.smatcher_soft.long_enough = 4;
CHECK_EQ(0, xd3_config_stream (&stream, &cfg));
CHECK_EQ(0, xd3_size_hashtable (&stream,
1<<10 /* ignored */,
stream.smatcher.large_look,
& stream.large_hash));
}
~with_stream()
{
xd3_free_stream (&stream);
}
};
MEMBER
struct large_cksum : public with_stream<SELF> {
Word step(const uint8_t *ptr) {
return xd3_large_cksum (&this->stream.large_hash, ptr, CksumSize);
}
Word state0(const uint8_t *ptr) {
incr_state = step(ptr);
return incr_state;
}
Word incr(const uint8_t *ptr) {
incr_state = xd3_large_cksum_update (&this->stream.large_hash,
incr_state, ptr - 1, CksumSize);
return incr_state;
}
Word incr_state;
};
#if SIZEOF_USIZE_T == 4
#define xd3_large_cksum_old xd3_large32_cksum_old
#define xd3_large_cksum_update_old xd3_large32_cksum_update_old
#elif SIZEOF_USIZE_T == 8
#define xd3_large_cksum_old xd3_large64_cksum_old
#define xd3_large_cksum_update_old xd3_large64_cksum_update_old
#endif
MEMBER
struct large_cksum_old : public with_stream<SELF> {
Word step(const uint8_t *ptr) {
return xd3_large_cksum_old (&this->stream.large_hash, ptr, CksumSize);
}
Word state0(const uint8_t *ptr) {
incr_state = step(ptr);
return incr_state;
}
Word incr(const uint8_t *ptr) {
incr_state = xd3_large_cksum_update_old (&this->stream.large_hash,
incr_state, ptr - 1, CksumSize);
return incr_state;
}
Word incr_state;
};
// TESTS
template <typename Word>
struct file_stats {
typedef const uint8_t* ptr_type;
typedef Word word_type;
typedef btree::btree_multimap<word_type, ptr_type> table_type;
typedef typename table_type::iterator table_iterator;
usize_t cksum_size;
usize_t cksum_skip;
usize_t unique;
usize_t unique_values;
usize_t count;
table_type table;
file_stats(usize_t size, usize_t skip)
: cksum_size(size),
cksum_skip(skip),
unique(0),
unique_values(0),
count(0) {
}
void reset() {
unique = 0;
unique_values = 0;
count = 0;
table.clear();
}
void update(word_type word, ptr_type ptr) {
table_iterator t_i = table.find(word);
count++;
if (t_i != table.end()) {
int collisions = 0;
for (table_iterator p_i = t_i;
p_i != table.end() && p_i->first == word;
++p_i) {
if (memcmp(p_i->second, ptr, cksum_size) == 0) {
return;
}
collisions++;
}
if (collisions >= 1000) {
fprintf(stderr, "Something is not right, lots of collisions=%d\n",
collisions);
abort();
}
} else {
unique_values++;
}
unique++;
table.insert(std::make_pair(word, ptr));
return;
}
void freeze() {
table.clear();
}
};
struct test_result_base;
static vector<test_result_base*> all_tests;
struct test_result_base {
virtual ~test_result_base() {
}
virtual void reset() = 0;
virtual void print() = 0;
virtual void get(const uint8_t* buf, const size_t buf_size,
usize_t iters) = 0;
virtual void stat() = 0;
virtual usize_t count() = 0;
virtual usize_t dups() = 0;
virtual double uniqueness() = 0;
virtual double fullness() = 0;
virtual double collisions() = 0;
virtual double coverage() = 0;
virtual double compression() = 0;
virtual double time() = 0;
virtual double total_time() = 0;
virtual usize_t total_count() = 0;
virtual usize_t total_dups() = 0;
};
template <typename Checksum>
struct test_result : public test_result_base {
Checksum cksum;
const char *test_name;
file_stats<typename Checksum::word_type> fstats;
usize_t test_size;
usize_t n_steps;
usize_t n_incrs;
typename Checksum::word_type s_bits;
typename Checksum::word_type s_mask;
usize_t t_entries;
usize_t h_bits;
usize_t h_buckets_full;
char *hash_table;
long accum_millis;
usize_t accum_iters;
// These are not reset
double accum_time;
usize_t accum_count;
usize_t accum_dups;
usize_t accum_colls;
size_t accum_size;
test_result(const char *name)
: test_name(name),
fstats(Checksum::cksum_size, Checksum::cksum_skip),
hash_table(NULL),
accum_millis(0),
accum_iters(0),
accum_time(0.0),
accum_count(0),
accum_dups(0),
accum_colls(0),
accum_size(0) {
all_tests.push_back(this);
}
~test_result() {
reset();
}
void reset() {
// size of file
test_size = 0;
// count
n_steps = 0;
n_incrs = 0;
// four values used by new_table()/summarize_table()
s_bits = 0;
s_mask = 0;
t_entries = 0;
h_bits = 0;
h_buckets_full = 0;
accum_millis = 0;
accum_iters = 0;
fstats.reset();
// temporary
if (hash_table) {
delete(hash_table);
hash_table = NULL;
}
}
usize_t count() {
if (Checksum::cksum_skip == 1) {
return n_incrs;
} else {
return n_steps;
}
}
usize_t dups() {
return fstats.count - fstats.unique;
}
/* Fraction of distinct strings of length cksum_size which are not
* represented in the hash table. */
double collisions() {
return (fstats.unique - fstats.unique_values) / (double) fstats.unique;
}
usize_t colls() {
return (fstats.unique - fstats.unique_values);
}
double uniqueness() {
return 1.0 - (double) dups() / count();
}
double fullness() {
return (double) h_buckets_full / (1 << h_bits);
}
double coverage() {
return (double) h_buckets_full / uniqueness() / count();
}
double compression() {
return 1.0 - coverage();
}
double time() {
return (double) accum_millis / accum_iters;
}
double total_time() {
return accum_time;
}
usize_t total_count() {
return accum_count;
}
usize_t total_dups() {
return accum_dups;
}
usize_t total_colls() {
return accum_dups;
}
void stat() {
accum_time += time();
accum_count += count();
accum_dups += dups();
accum_colls += colls();
accum_size += test_size;
}
void print() {
if (fstats.count != count()) {
fprintf(stderr, "internal error: %" W "d != %" W "d\n", fstats.count, count());
abort();
}
print_header();
printf("%-32s%d/%d 2^%" W "u\t%" W "u\t%0.4f\t%.4f\t%.4f\t%.1e\t%.2f\t"
"%" W "u\t%" W "u\n",
test_name,
Checksum::cksum_size,
Checksum::cksum_skip,
h_bits,
count(),
uniqueness(),
fullness(),
coverage(),
collisions(),
0.001 * accum_iters * test_size / accum_millis,
accum_iters,
colls());
}
usize_t size_log2 (usize_t slots) {
usize_t bits = bitsof<typename Checksum::word_type>() - 1;
usize_t i;
for (i = 3; i <= bits; i += 1) {
if (slots <= (1U << i)) {
return i - Checksum::compaction;
}
}
return bits;
}
void new_table(usize_t entries) {
t_entries = entries;
h_bits = size_log2(entries);
usize_t n = 1 << h_bits;
s_bits = bitsof<typename Checksum::word_type>() - h_bits;
s_mask = n - 1U;
hash_table = new char[n / 8];
memset(hash_table, 0, n / 8);
}
int get_table_bit(usize_t i) {
return hash_table[i/8] & (1 << i%8);
}
int set_table_bit(usize_t i) {
return hash_table[i/8] |= (1 << i%8);
}
void summarize_table() {
usize_t n = 1 << h_bits;
usize_t f = 0;
for (usize_t i = 0; i < n; i++) {
if (get_table_bit(i)) {
f++;
}
}
h_buckets_full = f;
}
void get(const uint8_t* buf, const size_t buf_size, usize_t test_iters) {
typename Checksum::hash_type hash;
const uint8_t *ptr;
const uint8_t *end;
usize_t periods;
int64_t last_offset;
int64_t stop;
test_size = buf_size;
last_offset = buf_size - Checksum::cksum_size;
if (last_offset < 0) {
periods = 0;
n_steps = 0;
n_incrs = 0;
stop = -Checksum::cksum_size;
} else {
periods = last_offset / Checksum::cksum_skip;
n_steps = periods + 1;
n_incrs = last_offset + 1;
stop = last_offset - (periods + 1) * Checksum::cksum_skip;
}
// Compute file stats once.
if (fstats.unique_values == 0) {
if (Checksum::cksum_skip == 1) {
for (size_t i = 0; i <= buf_size - Checksum::cksum_size; i++) {
fstats.update(hash(cksum.step(buf + i), s_bits, s_mask), buf + i);
}
} else {
ptr = buf + last_offset;
end = buf + stop;
for (; ptr != end; ptr -= Checksum::cksum_skip) {
fstats.update(hash(cksum.step(ptr), s_bits, s_mask), ptr);
}
}
fstats.freeze();
}
long start_test = get_millisecs_now();
if (Checksum::cksum_skip != 1) {
new_table(n_steps);
for (usize_t i = 0; i < test_iters; i++) {
ptr = buf + last_offset;
end = buf + stop;
for (; ptr != end; ptr -= Checksum::cksum_skip) {
set_table_bit(hash(cksum.step(ptr), s_bits, s_mask));
}
}
summarize_table();
}
stop = buf_size - Checksum::cksum_size + 1;
if (stop < 0) {
stop = 0;
}
if (Checksum::cksum_skip == 1) {
new_table(n_incrs);
for (usize_t i = 0; i < test_iters; i++) {
ptr = buf;
end = buf + stop;
if (ptr != end) {
set_table_bit(hash(cksum.state0(ptr++), s_bits, s_mask));
}
for (; ptr != end; ptr++) {
typename Checksum::word_type w = cksum.incr(ptr);
CHECK_EQ(w, cksum.step(ptr));
set_table_bit(hash(w, s_bits, s_mask));
}
}
summarize_table();
}
accum_iters += test_iters;
accum_millis += get_millisecs_now() - start_test;
}
};
static int read_whole_file(const char *name,
uint8_t **buf_ptr,
size_t *buf_len) {
main_file file;
int ret;
xoff_t len;
size_t nread;
main_file_init(&file);
file.filename = name;
ret = main_file_open(&file, name, XO_READ);
if (ret != 0) {
fprintf(stderr, "open failed\n");
goto exit;
}
ret = main_file_stat(&file, &len);
if (ret != 0) {
fprintf(stderr, "stat failed\n");
goto exit;
}
(*buf_len) = (size_t)len;
(*buf_ptr) = (uint8_t*) main_malloc(*buf_len);
ret = main_file_read(&file, *buf_ptr, *buf_len, &nread,
"read failed");
if (ret == 0 && *buf_len == nread) {
ret = 0;
} else {
fprintf(stderr, "invalid read\n");
ret = XD3_INTERNAL;
}
exit:
main_file_cleanup(&file);
return ret;
}
int main(int argc, char** argv) {
int i;
uint8_t *buf = NULL;
size_t buf_len = 0;
int ret;
if (argc <= 1) {
fprintf(stderr, "usage: %s file ...\n", argv[0]);
return 1;
}
// TODO: The xdelta3-hash.h code is identical now; add sameness test.
// using rabin_karp<> template.
#define TEST(T,Z,S,C) \
test_result<large_cksum<T,Z,S,hhash<T>,C>> \
_xck_ ## T ## _ ## Z ## _ ## S ## _ ## C \
("xck_" #T "_" #Z "_" #S "_" #C); \
test_result<large_cksum_old<T,Z,S,hhash<T>,C>> \
_old_ ## T ## _ ## Z ## _ ## S ## _ ## C \
("old_" #T "_" #Z "_" #S "_" #C)
#define TESTS(SIZE, SKIP) \
TEST(usize_t, SIZE, SKIP, 1); \
TEST(usize_t, SIZE, SKIP, 2)
TESTS(5, 1);
TESTS(6, 1);
TESTS(7, 1);
TESTS(8, 1);
TESTS(9, 1);
TESTS(10, 1);
TESTS(11, 1);
TESTS(12, 1);
TESTS(13, 1);
TESTS(14, 1);
TESTS(15, 1);
TESTS(16, 1);
TESTS(17, 1);
TESTS(18, 1);
TESTS(19, 1);
TESTS(20, 1);
TESTS(21, 1);
TESTS(22, 1);
TESTS(23, 1);
TESTS(24, 1);
TESTS(25, 1);
TESTS(26, 1);
TESTS(27, 1);
TESTS(28, 1);
TESTS(29, 1);
TESTS(30, 1);
TESTS(31, 1);
TESTS(32, 1);
TESTS(33, 1);
TESTS(34, 1);
TESTS(35, 1);
TESTS(36, 1);
TESTS(37, 1);
TESTS(38, 1);
TESTS(39, 1);
for (i = 1; i < argc; i++) {
if ((ret = read_whole_file(argv[i],
& buf,
& buf_len))) {
return 1;
}
fprintf(stderr, "file %s is %zu bytes\n",
argv[i], buf_len);
double min_time = -1.0;
double min_compression = 0.0;
for (vector<test_result_base*>::iterator iter = all_tests.begin();
iter != all_tests.end(); ++iter) {
test_result_base *test = *iter;
test->reset();
usize_t iters = 1;
long start_test = get_millisecs_now();
do {
test->get(buf, buf_len, iters);
iters *= 3;
iters /= 2;
} while (get_millisecs_now() - start_test < 2000);
test->stat();
if (min_time < 0.0) {
min_compression = test->compression();
min_time = test->time();
}
if (min_time > test->time()) {
min_time = test->time();
}
if (min_compression > test->compression()) {
min_compression = test->compression();
}
test->print();
}
main_free(buf);
buf = NULL;
}
return 0;
}
|