2 * Copyright (c) 2016-present, Yann Collet, Facebook, Inc.
5 * This source code is licensed under both the BSD-style license (found in the
6 * LICENSE file in the root directory of this source tree) and the GPLv2 (found
7 * in the COPYING file in the root directory of this source tree).
8 * You may select, at your option, one of the above-listed licenses.
11 /*-*************************************
13 ***************************************/
14 #include "zstd_compress_sequences.h"
17 * -log2(x / 256) lookup table for x in [0, 256).
19 * Else: Return floor(-log2(x / 256) * 256)
21 static unsigned const kInverseProbabilityLog256[256] = {
22 0, 2048, 1792, 1642, 1536, 1453, 1386, 1329, 1280, 1236, 1197, 1162,
23 1130, 1100, 1073, 1047, 1024, 1001, 980, 960, 941, 923, 906, 889,
24 874, 859, 844, 830, 817, 804, 791, 779, 768, 756, 745, 734,
25 724, 714, 704, 694, 685, 676, 667, 658, 650, 642, 633, 626,
26 618, 610, 603, 595, 588, 581, 574, 567, 561, 554, 548, 542,
27 535, 529, 523, 517, 512, 506, 500, 495, 489, 484, 478, 473,
28 468, 463, 458, 453, 448, 443, 438, 434, 429, 424, 420, 415,
29 411, 407, 402, 398, 394, 390, 386, 382, 377, 373, 370, 366,
30 362, 358, 354, 350, 347, 343, 339, 336, 332, 329, 325, 322,
31 318, 315, 311, 308, 305, 302, 298, 295, 292, 289, 286, 282,
32 279, 276, 273, 270, 267, 264, 261, 258, 256, 253, 250, 247,
33 244, 241, 239, 236, 233, 230, 228, 225, 222, 220, 217, 215,
34 212, 209, 207, 204, 202, 199, 197, 194, 192, 190, 187, 185,
35 182, 180, 178, 175, 173, 171, 168, 166, 164, 162, 159, 157,
36 155, 153, 151, 149, 146, 144, 142, 140, 138, 136, 134, 132,
37 130, 128, 126, 123, 121, 119, 117, 115, 114, 112, 110, 108,
38 106, 104, 102, 100, 98, 96, 94, 93, 91, 89, 87, 85,
39 83, 82, 80, 78, 76, 74, 73, 71, 69, 67, 66, 64,
40 62, 61, 59, 57, 55, 54, 52, 50, 49, 47, 46, 44,
41 42, 41, 39, 37, 36, 34, 33, 31, 30, 28, 26, 25,
42 23, 22, 20, 19, 17, 16, 14, 13, 11, 10, 8, 7,
46 static unsigned ZSTD_getFSEMaxSymbolValue(FSE_CTable const* ctable) {
47 void const* ptr = ctable;
48 U16 const* u16ptr = (U16 const*)ptr;
49 U32 const maxSymbolValue = MEM_read16(u16ptr + 1);
50 return maxSymbolValue;
54 * Returns the cost in bytes of encoding the normalized count header.
55 * Returns an error if any of the helper functions return an error.
57 static size_t ZSTD_NCountCost(unsigned const* count, unsigned const max,
58 size_t const nbSeq, unsigned const FSELog)
60 BYTE wksp[FSE_NCOUNTBOUND];
62 const U32 tableLog = FSE_optimalTableLog(FSELog, nbSeq, max);
63 FORWARD_IF_ERROR(FSE_normalizeCount(norm, tableLog, count, nbSeq, max));
64 return FSE_writeNCount(wksp, sizeof(wksp), norm, max, tableLog);
68 * Returns the cost in bits of encoding the distribution described by count
69 * using the entropy bound.
71 static size_t ZSTD_entropyCost(unsigned const* count, unsigned const max, size_t const total)
75 for (s = 0; s <= max; ++s) {
76 unsigned norm = (unsigned)((256 * count[s]) / total);
77 if (count[s] != 0 && norm == 0)
79 assert(count[s] < total);
80 cost += count[s] * kInverseProbabilityLog256[norm];
86 * Returns the cost in bits of encoding the distribution in count using ctable.
87 * Returns an error if ctable cannot represent all the symbols in count.
89 static size_t ZSTD_fseBitCost(
90 FSE_CTable const* ctable,
91 unsigned const* count,
94 unsigned const kAccuracyLog = 8;
98 FSE_initCState(&cstate, ctable);
99 RETURN_ERROR_IF(ZSTD_getFSEMaxSymbolValue(ctable) < max, GENERIC,
100 "Repeat FSE_CTable has maxSymbolValue %u < %u",
101 ZSTD_getFSEMaxSymbolValue(ctable), max);
102 for (s = 0; s <= max; ++s) {
103 unsigned const tableLog = cstate.stateLog;
104 unsigned const badCost = (tableLog + 1) << kAccuracyLog;
105 unsigned const bitCost = FSE_bitCost(cstate.symbolTT, tableLog, s, kAccuracyLog);
108 RETURN_ERROR_IF(bitCost >= badCost, GENERIC,
109 "Repeat FSE_CTable has Prob[%u] == 0", s);
110 cost += count[s] * bitCost;
112 return cost >> kAccuracyLog;
116 * Returns the cost in bits of encoding the distribution in count using the
117 * table described by norm. The max symbol support by norm is assumed >= max.
118 * norm must be valid for every symbol with non-zero probability in count.
120 static size_t ZSTD_crossEntropyCost(short const* norm, unsigned accuracyLog,
121 unsigned const* count, unsigned const max)
123 unsigned const shift = 8 - accuracyLog;
126 assert(accuracyLog <= 8);
127 for (s = 0; s <= max; ++s) {
128 unsigned const normAcc = norm[s] != -1 ? norm[s] : 1;
129 unsigned const norm256 = normAcc << shift;
131 assert(norm256 < 256);
132 cost += count[s] * kInverseProbabilityLog256[norm256];
138 ZSTD_selectEncodingType(
139 FSE_repeat* repeatMode, unsigned const* count, unsigned const max,
140 size_t const mostFrequent, size_t nbSeq, unsigned const FSELog,
141 FSE_CTable const* prevCTable,
142 short const* defaultNorm, U32 defaultNormLog,
143 ZSTD_defaultPolicy_e const isDefaultAllowed,
144 ZSTD_strategy const strategy)
146 ZSTD_STATIC_ASSERT(ZSTD_defaultDisallowed == 0 && ZSTD_defaultAllowed != 0);
147 if (mostFrequent == nbSeq) {
148 *repeatMode = FSE_repeat_none;
149 if (isDefaultAllowed && nbSeq <= 2) {
150 /* Prefer set_basic over set_rle when there are 2 or less symbols,
151 * since RLE uses 1 byte, but set_basic uses 5-6 bits per symbol.
152 * If basic encoding isn't possible, always choose RLE.
154 DEBUGLOG(5, "Selected set_basic");
157 DEBUGLOG(5, "Selected set_rle");
160 if (strategy < ZSTD_lazy) {
161 if (isDefaultAllowed) {
162 size_t const staticFse_nbSeq_max = 1000;
163 size_t const mult = 10 - strategy;
164 size_t const baseLog = 3;
165 size_t const dynamicFse_nbSeq_min = (((size_t)1 << defaultNormLog) * mult) >> baseLog; /* 28-36 for offset, 56-72 for lengths */
166 assert(defaultNormLog >= 5 && defaultNormLog <= 6); /* xx_DEFAULTNORMLOG */
167 assert(mult <= 9 && mult >= 7);
168 if ( (*repeatMode == FSE_repeat_valid)
169 && (nbSeq < staticFse_nbSeq_max) ) {
170 DEBUGLOG(5, "Selected set_repeat");
173 if ( (nbSeq < dynamicFse_nbSeq_min)
174 || (mostFrequent < (nbSeq >> (defaultNormLog-1))) ) {
175 DEBUGLOG(5, "Selected set_basic");
176 /* The format allows default tables to be repeated, but it isn't useful.
177 * When using simple heuristics to select encoding type, we don't want
178 * to confuse these tables with dictionaries. When running more careful
179 * analysis, we don't need to waste time checking both repeating tables
180 * and default tables.
182 *repeatMode = FSE_repeat_none;
187 size_t const basicCost = isDefaultAllowed ? ZSTD_crossEntropyCost(defaultNorm, defaultNormLog, count, max) : ERROR(GENERIC);
188 size_t const repeatCost = *repeatMode != FSE_repeat_none ? ZSTD_fseBitCost(prevCTable, count, max) : ERROR(GENERIC);
189 size_t const NCountCost = ZSTD_NCountCost(count, max, nbSeq, FSELog);
190 size_t const compressedCost = (NCountCost << 3) + ZSTD_entropyCost(count, max, nbSeq);
192 if (isDefaultAllowed) {
193 assert(!ZSTD_isError(basicCost));
194 assert(!(*repeatMode == FSE_repeat_valid && ZSTD_isError(repeatCost)));
196 assert(!ZSTD_isError(NCountCost));
197 assert(compressedCost < ERROR(maxCode));
198 DEBUGLOG(5, "Estimated bit costs: basic=%u\trepeat=%u\tcompressed=%u",
199 (unsigned)basicCost, (unsigned)repeatCost, (unsigned)compressedCost);
200 if (basicCost <= repeatCost && basicCost <= compressedCost) {
201 DEBUGLOG(5, "Selected set_basic");
202 assert(isDefaultAllowed);
203 *repeatMode = FSE_repeat_none;
206 if (repeatCost <= compressedCost) {
207 DEBUGLOG(5, "Selected set_repeat");
208 assert(!ZSTD_isError(repeatCost));
211 assert(compressedCost < basicCost && compressedCost < repeatCost);
213 DEBUGLOG(5, "Selected set_compressed");
214 *repeatMode = FSE_repeat_check;
215 return set_compressed;
219 ZSTD_buildCTable(void* dst, size_t dstCapacity,
220 FSE_CTable* nextCTable, U32 FSELog, symbolEncodingType_e type,
221 unsigned* count, U32 max,
222 const BYTE* codeTable, size_t nbSeq,
223 const S16* defaultNorm, U32 defaultNormLog, U32 defaultMax,
224 const FSE_CTable* prevCTable, size_t prevCTableSize,
225 void* entropyWorkspace, size_t entropyWorkspaceSize)
227 BYTE* op = (BYTE*)dst;
228 const BYTE* const oend = op + dstCapacity;
229 DEBUGLOG(6, "ZSTD_buildCTable (dstCapacity=%u)", (unsigned)dstCapacity);
233 FORWARD_IF_ERROR(FSE_buildCTable_rle(nextCTable, (BYTE)max));
234 RETURN_ERROR_IF(dstCapacity==0, dstSize_tooSmall);
238 memcpy(nextCTable, prevCTable, prevCTableSize);
241 FORWARD_IF_ERROR(FSE_buildCTable_wksp(nextCTable, defaultNorm, defaultMax, defaultNormLog, entropyWorkspace, entropyWorkspaceSize)); /* note : could be pre-calculated */
243 case set_compressed: {
244 S16 norm[MaxSeq + 1];
245 size_t nbSeq_1 = nbSeq;
246 const U32 tableLog = FSE_optimalTableLog(FSELog, nbSeq, max);
247 if (count[codeTable[nbSeq-1]] > 1) {
248 count[codeTable[nbSeq-1]]--;
252 FORWARD_IF_ERROR(FSE_normalizeCount(norm, tableLog, count, nbSeq_1, max));
253 { size_t const NCountSize = FSE_writeNCount(op, oend - op, norm, max, tableLog); /* overflow protected */
254 FORWARD_IF_ERROR(NCountSize);
255 FORWARD_IF_ERROR(FSE_buildCTable_wksp(nextCTable, norm, max, tableLog, entropyWorkspace, entropyWorkspaceSize));
259 default: assert(0); RETURN_ERROR(GENERIC);
263 FORCE_INLINE_TEMPLATE size_t
264 ZSTD_encodeSequences_body(
265 void* dst, size_t dstCapacity,
266 FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,
267 FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,
268 FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,
269 seqDef const* sequences, size_t nbSeq, int longOffsets)
271 BIT_CStream_t blockStream;
272 FSE_CState_t stateMatchLength;
273 FSE_CState_t stateOffsetBits;
274 FSE_CState_t stateLitLength;
277 ERR_isError(BIT_initCStream(&blockStream, dst, dstCapacity)),
278 dstSize_tooSmall, "not enough space remaining");
279 DEBUGLOG(6, "available space for bitstream : %i (dstCapacity=%u)",
280 (int)(blockStream.endPtr - blockStream.startPtr),
281 (unsigned)dstCapacity);
284 FSE_initCState2(&stateMatchLength, CTable_MatchLength, mlCodeTable[nbSeq-1]);
285 FSE_initCState2(&stateOffsetBits, CTable_OffsetBits, ofCodeTable[nbSeq-1]);
286 FSE_initCState2(&stateLitLength, CTable_LitLength, llCodeTable[nbSeq-1]);
287 BIT_addBits(&blockStream, sequences[nbSeq-1].litLength, LL_bits[llCodeTable[nbSeq-1]]);
288 if (MEM_32bits()) BIT_flushBits(&blockStream);
289 BIT_addBits(&blockStream, sequences[nbSeq-1].matchLength, ML_bits[mlCodeTable[nbSeq-1]]);
290 if (MEM_32bits()) BIT_flushBits(&blockStream);
292 U32 const ofBits = ofCodeTable[nbSeq-1];
293 int const extraBits = ofBits - MIN(ofBits, STREAM_ACCUMULATOR_MIN-1);
295 BIT_addBits(&blockStream, sequences[nbSeq-1].offset, extraBits);
296 BIT_flushBits(&blockStream);
298 BIT_addBits(&blockStream, sequences[nbSeq-1].offset >> extraBits,
301 BIT_addBits(&blockStream, sequences[nbSeq-1].offset, ofCodeTable[nbSeq-1]);
303 BIT_flushBits(&blockStream);
306 for (n=nbSeq-2 ; n<nbSeq ; n--) { /* intentional underflow */
307 BYTE const llCode = llCodeTable[n];
308 BYTE const ofCode = ofCodeTable[n];
309 BYTE const mlCode = mlCodeTable[n];
310 U32 const llBits = LL_bits[llCode];
311 U32 const ofBits = ofCode;
312 U32 const mlBits = ML_bits[mlCode];
313 DEBUGLOG(6, "encoding: litlen:%2u - matchlen:%2u - offCode:%7u",
314 (unsigned)sequences[n].litLength,
315 (unsigned)sequences[n].matchLength + MINMATCH,
316 (unsigned)sequences[n].offset);
319 FSE_encodeSymbol(&blockStream, &stateOffsetBits, ofCode); /* 15 */ /* 15 */
320 FSE_encodeSymbol(&blockStream, &stateMatchLength, mlCode); /* 24 */ /* 24 */
321 if (MEM_32bits()) BIT_flushBits(&blockStream); /* (7)*/
322 FSE_encodeSymbol(&blockStream, &stateLitLength, llCode); /* 16 */ /* 33 */
323 if (MEM_32bits() || (ofBits+mlBits+llBits >= 64-7-(LLFSELog+MLFSELog+OffFSELog)))
324 BIT_flushBits(&blockStream); /* (7)*/
325 BIT_addBits(&blockStream, sequences[n].litLength, llBits);
326 if (MEM_32bits() && ((llBits+mlBits)>24)) BIT_flushBits(&blockStream);
327 BIT_addBits(&blockStream, sequences[n].matchLength, mlBits);
328 if (MEM_32bits() || (ofBits+mlBits+llBits > 56)) BIT_flushBits(&blockStream);
330 int const extraBits = ofBits - MIN(ofBits, STREAM_ACCUMULATOR_MIN-1);
332 BIT_addBits(&blockStream, sequences[n].offset, extraBits);
333 BIT_flushBits(&blockStream); /* (7)*/
335 BIT_addBits(&blockStream, sequences[n].offset >> extraBits,
336 ofBits - extraBits); /* 31 */
338 BIT_addBits(&blockStream, sequences[n].offset, ofBits); /* 31 */
340 BIT_flushBits(&blockStream); /* (7)*/
341 DEBUGLOG(7, "remaining space : %i", (int)(blockStream.endPtr - blockStream.ptr));
344 DEBUGLOG(6, "ZSTD_encodeSequences: flushing ML state with %u bits", stateMatchLength.stateLog);
345 FSE_flushCState(&blockStream, &stateMatchLength);
346 DEBUGLOG(6, "ZSTD_encodeSequences: flushing Off state with %u bits", stateOffsetBits.stateLog);
347 FSE_flushCState(&blockStream, &stateOffsetBits);
348 DEBUGLOG(6, "ZSTD_encodeSequences: flushing LL state with %u bits", stateLitLength.stateLog);
349 FSE_flushCState(&blockStream, &stateLitLength);
351 { size_t const streamSize = BIT_closeCStream(&blockStream);
352 RETURN_ERROR_IF(streamSize==0, dstSize_tooSmall, "not enough space");
358 ZSTD_encodeSequences_default(
359 void* dst, size_t dstCapacity,
360 FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,
361 FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,
362 FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,
363 seqDef const* sequences, size_t nbSeq, int longOffsets)
365 return ZSTD_encodeSequences_body(dst, dstCapacity,
366 CTable_MatchLength, mlCodeTable,
367 CTable_OffsetBits, ofCodeTable,
368 CTable_LitLength, llCodeTable,
369 sequences, nbSeq, longOffsets);
375 static TARGET_ATTRIBUTE("bmi2") size_t
376 ZSTD_encodeSequences_bmi2(
377 void* dst, size_t dstCapacity,
378 FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,
379 FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,
380 FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,
381 seqDef const* sequences, size_t nbSeq, int longOffsets)
383 return ZSTD_encodeSequences_body(dst, dstCapacity,
384 CTable_MatchLength, mlCodeTable,
385 CTable_OffsetBits, ofCodeTable,
386 CTable_LitLength, llCodeTable,
387 sequences, nbSeq, longOffsets);
392 size_t ZSTD_encodeSequences(
393 void* dst, size_t dstCapacity,
394 FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,
395 FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,
396 FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,
397 seqDef const* sequences, size_t nbSeq, int longOffsets, int bmi2)
399 DEBUGLOG(5, "ZSTD_encodeSequences: dstCapacity = %u", (unsigned)dstCapacity);
402 return ZSTD_encodeSequences_bmi2(dst, dstCapacity,
403 CTable_MatchLength, mlCodeTable,
404 CTable_OffsetBits, ofCodeTable,
405 CTable_LitLength, llCodeTable,
406 sequences, nbSeq, longOffsets);
410 return ZSTD_encodeSequences_default(dst, dstCapacity,
411 CTable_MatchLength, mlCodeTable,
412 CTable_OffsetBits, ofCodeTable,
413 CTable_LitLength, llCodeTable,
414 sequences, nbSeq, longOffsets);