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1/*2 * Copyright (c) Yann Collet, Facebook, Inc.3 * All rights reserved.4 *5 * This source code is licensed under both the BSD-style license (found in the6 * LICENSE file in the root directory of this source tree) and the GPLv2 (found7 * 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.9 */10 11 /*-*************************************12 *  Dependencies13 ***************************************/14#include "zstd_compress_sequences.h"15 16/*17 * -log2(x / 256) lookup table for x in [0, 256).18 * If x == 0: Return 019 * Else: Return floor(-log2(x / 256) * 256)20 */21static 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,    7,43    5,    4,    2,    1,44};45 46static 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;51}52 53/*54 * Returns true if we should use ncount=-1 else we should55 * use ncount=1 for low probability symbols instead.56 */57static unsigned ZSTD_useLowProbCount(size_t const nbSeq)58{59    /* Heuristic: This should cover most blocks <= 16K and60     * start to fade out after 16K to about 32K depending on61     * comprssibility.62     */63    return nbSeq >= 2048;64}65 66/*67 * Returns the cost in bytes of encoding the normalized count header.68 * Returns an error if any of the helper functions return an error.69 */70static size_t ZSTD_NCountCost(unsigned const* count, unsigned const max,71                              size_t const nbSeq, unsigned const FSELog)72{73    BYTE wksp[FSE_NCOUNTBOUND];74    S16 norm[MaxSeq + 1];75    const U32 tableLog = FSE_optimalTableLog(FSELog, nbSeq, max);76    FORWARD_IF_ERROR(FSE_normalizeCount(norm, tableLog, count, nbSeq, max, ZSTD_useLowProbCount(nbSeq)), "");77    return FSE_writeNCount(wksp, sizeof(wksp), norm, max, tableLog);78}79 80/*81 * Returns the cost in bits of encoding the distribution described by count82 * using the entropy bound.83 */84static size_t ZSTD_entropyCost(unsigned const* count, unsigned const max, size_t const total)85{86    unsigned cost = 0;87    unsigned s;88 89    assert(total > 0);90    for (s = 0; s <= max; ++s) {91        unsigned norm = (unsigned)((256 * count[s]) / total);92        if (count[s] != 0 && norm == 0)93            norm = 1;94        assert(count[s] < total);95        cost += count[s] * kInverseProbabilityLog256[norm];96    }97    return cost >> 8;98}99 100/*101 * Returns the cost in bits of encoding the distribution in count using ctable.102 * Returns an error if ctable cannot represent all the symbols in count.103 */104size_t ZSTD_fseBitCost(105    FSE_CTable const* ctable,106    unsigned const* count,107    unsigned const max)108{109    unsigned const kAccuracyLog = 8;110    size_t cost = 0;111    unsigned s;112    FSE_CState_t cstate;113    FSE_initCState(&cstate, ctable);114    if (ZSTD_getFSEMaxSymbolValue(ctable) < max) {115        DEBUGLOG(5, "Repeat FSE_CTable has maxSymbolValue %u < %u",116                    ZSTD_getFSEMaxSymbolValue(ctable), max);117        return ERROR(GENERIC);118    }119    for (s = 0; s <= max; ++s) {120        unsigned const tableLog = cstate.stateLog;121        unsigned const badCost = (tableLog + 1) << kAccuracyLog;122        unsigned const bitCost = FSE_bitCost(cstate.symbolTT, tableLog, s, kAccuracyLog);123        if (count[s] == 0)124            continue;125        if (bitCost >= badCost) {126            DEBUGLOG(5, "Repeat FSE_CTable has Prob[%u] == 0", s);127            return ERROR(GENERIC);128        }129        cost += (size_t)count[s] * bitCost;130    }131    return cost >> kAccuracyLog;132}133 134/*135 * Returns the cost in bits of encoding the distribution in count using the136 * table described by norm. The max symbol support by norm is assumed >= max.137 * norm must be valid for every symbol with non-zero probability in count.138 */139size_t ZSTD_crossEntropyCost(short const* norm, unsigned accuracyLog,140                             unsigned const* count, unsigned const max)141{142    unsigned const shift = 8 - accuracyLog;143    size_t cost = 0;144    unsigned s;145    assert(accuracyLog <= 8);146    for (s = 0; s <= max; ++s) {147        unsigned const normAcc = (norm[s] != -1) ? (unsigned)norm[s] : 1;148        unsigned const norm256 = normAcc << shift;149        assert(norm256 > 0);150        assert(norm256 < 256);151        cost += count[s] * kInverseProbabilityLog256[norm256];152    }153    return cost >> 8;154}155 156symbolEncodingType_e157ZSTD_selectEncodingType(158        FSE_repeat* repeatMode, unsigned const* count, unsigned const max,159        size_t const mostFrequent, size_t nbSeq, unsigned const FSELog,160        FSE_CTable const* prevCTable,161        short const* defaultNorm, U32 defaultNormLog,162        ZSTD_defaultPolicy_e const isDefaultAllowed,163        ZSTD_strategy const strategy)164{165    ZSTD_STATIC_ASSERT(ZSTD_defaultDisallowed == 0 && ZSTD_defaultAllowed != 0);166    if (mostFrequent == nbSeq) {167        *repeatMode = FSE_repeat_none;168        if (isDefaultAllowed && nbSeq <= 2) {169            /* Prefer set_basic over set_rle when there are 2 or less symbols,170             * since RLE uses 1 byte, but set_basic uses 5-6 bits per symbol.171             * If basic encoding isn't possible, always choose RLE.172             */173            DEBUGLOG(5, "Selected set_basic");174            return set_basic;175        }176        DEBUGLOG(5, "Selected set_rle");177        return set_rle;178    }179    if (strategy < ZSTD_lazy) {180        if (isDefaultAllowed) {181            size_t const staticFse_nbSeq_max = 1000;182            size_t const mult = 10 - strategy;183            size_t const baseLog = 3;184            size_t const dynamicFse_nbSeq_min = (((size_t)1 << defaultNormLog) * mult) >> baseLog;  /* 28-36 for offset, 56-72 for lengths */185            assert(defaultNormLog >= 5 && defaultNormLog <= 6);  /* xx_DEFAULTNORMLOG */186            assert(mult <= 9 && mult >= 7);187            if ( (*repeatMode == FSE_repeat_valid)188              && (nbSeq < staticFse_nbSeq_max) ) {189                DEBUGLOG(5, "Selected set_repeat");190                return set_repeat;191            }192            if ( (nbSeq < dynamicFse_nbSeq_min)193              || (mostFrequent < (nbSeq >> (defaultNormLog-1))) ) {194                DEBUGLOG(5, "Selected set_basic");195                /* The format allows default tables to be repeated, but it isn't useful.196                 * When using simple heuristics to select encoding type, we don't want197                 * to confuse these tables with dictionaries. When running more careful198                 * analysis, we don't need to waste time checking both repeating tables199                 * and default tables.200                 */201                *repeatMode = FSE_repeat_none;202                return set_basic;203            }204        }205    } else {206        size_t const basicCost = isDefaultAllowed ? ZSTD_crossEntropyCost(defaultNorm, defaultNormLog, count, max) : ERROR(GENERIC);207        size_t const repeatCost = *repeatMode != FSE_repeat_none ? ZSTD_fseBitCost(prevCTable, count, max) : ERROR(GENERIC);208        size_t const NCountCost = ZSTD_NCountCost(count, max, nbSeq, FSELog);209        size_t const compressedCost = (NCountCost << 3) + ZSTD_entropyCost(count, max, nbSeq);210 211        if (isDefaultAllowed) {212            assert(!ZSTD_isError(basicCost));213            assert(!(*repeatMode == FSE_repeat_valid && ZSTD_isError(repeatCost)));214        }215        assert(!ZSTD_isError(NCountCost));216        assert(compressedCost < ERROR(maxCode));217        DEBUGLOG(5, "Estimated bit costs: basic=%u\trepeat=%u\tcompressed=%u",218                    (unsigned)basicCost, (unsigned)repeatCost, (unsigned)compressedCost);219        if (basicCost <= repeatCost && basicCost <= compressedCost) {220            DEBUGLOG(5, "Selected set_basic");221            assert(isDefaultAllowed);222            *repeatMode = FSE_repeat_none;223            return set_basic;224        }225        if (repeatCost <= compressedCost) {226            DEBUGLOG(5, "Selected set_repeat");227            assert(!ZSTD_isError(repeatCost));228            return set_repeat;229        }230        assert(compressedCost < basicCost && compressedCost < repeatCost);231    }232    DEBUGLOG(5, "Selected set_compressed");233    *repeatMode = FSE_repeat_check;234    return set_compressed;235}236 237typedef struct {238    S16 norm[MaxSeq + 1];239    U32 wksp[FSE_BUILD_CTABLE_WORKSPACE_SIZE_U32(MaxSeq, MaxFSELog)];240} ZSTD_BuildCTableWksp;241 242size_t243ZSTD_buildCTable(void* dst, size_t dstCapacity,244                FSE_CTable* nextCTable, U32 FSELog, symbolEncodingType_e type,245                unsigned* count, U32 max,246                const BYTE* codeTable, size_t nbSeq,247                const S16* defaultNorm, U32 defaultNormLog, U32 defaultMax,248                const FSE_CTable* prevCTable, size_t prevCTableSize,249                void* entropyWorkspace, size_t entropyWorkspaceSize)250{251    BYTE* op = (BYTE*)dst;252    const BYTE* const oend = op + dstCapacity;253    DEBUGLOG(6, "ZSTD_buildCTable (dstCapacity=%u)", (unsigned)dstCapacity);254 255    switch (type) {256    case set_rle:257        FORWARD_IF_ERROR(FSE_buildCTable_rle(nextCTable, (BYTE)max), "");258        RETURN_ERROR_IF(dstCapacity==0, dstSize_tooSmall, "not enough space");259        *op = codeTable[0];260        return 1;261    case set_repeat:262        ZSTD_memcpy(nextCTable, prevCTable, prevCTableSize);263        return 0;264    case set_basic:265        FORWARD_IF_ERROR(FSE_buildCTable_wksp(nextCTable, defaultNorm, defaultMax, defaultNormLog, entropyWorkspace, entropyWorkspaceSize), "");  /* note : could be pre-calculated */266        return 0;267    case set_compressed: {268        ZSTD_BuildCTableWksp* wksp = (ZSTD_BuildCTableWksp*)entropyWorkspace;269        size_t nbSeq_1 = nbSeq;270        const U32 tableLog = FSE_optimalTableLog(FSELog, nbSeq, max);271        if (count[codeTable[nbSeq-1]] > 1) {272            count[codeTable[nbSeq-1]]--;273            nbSeq_1--;274        }275        assert(nbSeq_1 > 1);276        assert(entropyWorkspaceSize >= sizeof(ZSTD_BuildCTableWksp));277        (void)entropyWorkspaceSize;278        FORWARD_IF_ERROR(FSE_normalizeCount(wksp->norm, tableLog, count, nbSeq_1, max, ZSTD_useLowProbCount(nbSeq_1)), "FSE_normalizeCount failed");279        assert(oend >= op);280        {   size_t const NCountSize = FSE_writeNCount(op, (size_t)(oend - op), wksp->norm, max, tableLog);   /* overflow protected */281            FORWARD_IF_ERROR(NCountSize, "FSE_writeNCount failed");282            FORWARD_IF_ERROR(FSE_buildCTable_wksp(nextCTable, wksp->norm, max, tableLog, wksp->wksp, sizeof(wksp->wksp)), "FSE_buildCTable_wksp failed");283            return NCountSize;284        }285    }286    default: assert(0); RETURN_ERROR(GENERIC, "impossible to reach");287    }288}289 290FORCE_INLINE_TEMPLATE size_t291ZSTD_encodeSequences_body(292            void* dst, size_t dstCapacity,293            FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,294            FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,295            FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,296            seqDef const* sequences, size_t nbSeq, int longOffsets)297{298    BIT_CStream_t blockStream;299    FSE_CState_t  stateMatchLength;300    FSE_CState_t  stateOffsetBits;301    FSE_CState_t  stateLitLength;302 303    RETURN_ERROR_IF(304        ERR_isError(BIT_initCStream(&blockStream, dst, dstCapacity)),305        dstSize_tooSmall, "not enough space remaining");306    DEBUGLOG(6, "available space for bitstream : %i  (dstCapacity=%u)",307                (int)(blockStream.endPtr - blockStream.startPtr),308                (unsigned)dstCapacity);309 310    /* first symbols */311    FSE_initCState2(&stateMatchLength, CTable_MatchLength, mlCodeTable[nbSeq-1]);312    FSE_initCState2(&stateOffsetBits,  CTable_OffsetBits,  ofCodeTable[nbSeq-1]);313    FSE_initCState2(&stateLitLength,   CTable_LitLength,   llCodeTable[nbSeq-1]);314    BIT_addBits(&blockStream, sequences[nbSeq-1].litLength, LL_bits[llCodeTable[nbSeq-1]]);315    if (MEM_32bits()) BIT_flushBits(&blockStream);316    BIT_addBits(&blockStream, sequences[nbSeq-1].mlBase, ML_bits[mlCodeTable[nbSeq-1]]);317    if (MEM_32bits()) BIT_flushBits(&blockStream);318    if (longOffsets) {319        U32 const ofBits = ofCodeTable[nbSeq-1];320        unsigned const extraBits = ofBits - MIN(ofBits, STREAM_ACCUMULATOR_MIN-1);321        if (extraBits) {322            BIT_addBits(&blockStream, sequences[nbSeq-1].offBase, extraBits);323            BIT_flushBits(&blockStream);324        }325        BIT_addBits(&blockStream, sequences[nbSeq-1].offBase >> extraBits,326                    ofBits - extraBits);327    } else {328        BIT_addBits(&blockStream, sequences[nbSeq-1].offBase, ofCodeTable[nbSeq-1]);329    }330    BIT_flushBits(&blockStream);331 332    {   size_t n;333        for (n=nbSeq-2 ; n<nbSeq ; n--) {      /* intentional underflow */334            BYTE const llCode = llCodeTable[n];335            BYTE const ofCode = ofCodeTable[n];336            BYTE const mlCode = mlCodeTable[n];337            U32  const llBits = LL_bits[llCode];338            U32  const ofBits = ofCode;339            U32  const mlBits = ML_bits[mlCode];340            DEBUGLOG(6, "encoding: litlen:%2u - matchlen:%2u - offCode:%7u",341                        (unsigned)sequences[n].litLength,342                        (unsigned)sequences[n].mlBase + MINMATCH,343                        (unsigned)sequences[n].offBase);344                                                                            /* 32b*/  /* 64b*/345                                                                            /* (7)*/  /* (7)*/346            FSE_encodeSymbol(&blockStream, &stateOffsetBits, ofCode);       /* 15 */  /* 15 */347            FSE_encodeSymbol(&blockStream, &stateMatchLength, mlCode);      /* 24 */  /* 24 */348            if (MEM_32bits()) BIT_flushBits(&blockStream);                  /* (7)*/349            FSE_encodeSymbol(&blockStream, &stateLitLength, llCode);        /* 16 */  /* 33 */350            if (MEM_32bits() || (ofBits+mlBits+llBits >= 64-7-(LLFSELog+MLFSELog+OffFSELog)))351                BIT_flushBits(&blockStream);                                /* (7)*/352            BIT_addBits(&blockStream, sequences[n].litLength, llBits);353            if (MEM_32bits() && ((llBits+mlBits)>24)) BIT_flushBits(&blockStream);354            BIT_addBits(&blockStream, sequences[n].mlBase, mlBits);355            if (MEM_32bits() || (ofBits+mlBits+llBits > 56)) BIT_flushBits(&blockStream);356            if (longOffsets) {357                unsigned const extraBits = ofBits - MIN(ofBits, STREAM_ACCUMULATOR_MIN-1);358                if (extraBits) {359                    BIT_addBits(&blockStream, sequences[n].offBase, extraBits);360                    BIT_flushBits(&blockStream);                            /* (7)*/361                }362                BIT_addBits(&blockStream, sequences[n].offBase >> extraBits,363                            ofBits - extraBits);                            /* 31 */364            } else {365                BIT_addBits(&blockStream, sequences[n].offBase, ofBits);     /* 31 */366            }367            BIT_flushBits(&blockStream);                                    /* (7)*/368            DEBUGLOG(7, "remaining space : %i", (int)(blockStream.endPtr - blockStream.ptr));369    }   }370 371    DEBUGLOG(6, "ZSTD_encodeSequences: flushing ML state with %u bits", stateMatchLength.stateLog);372    FSE_flushCState(&blockStream, &stateMatchLength);373    DEBUGLOG(6, "ZSTD_encodeSequences: flushing Off state with %u bits", stateOffsetBits.stateLog);374    FSE_flushCState(&blockStream, &stateOffsetBits);375    DEBUGLOG(6, "ZSTD_encodeSequences: flushing LL state with %u bits", stateLitLength.stateLog);376    FSE_flushCState(&blockStream, &stateLitLength);377 378    {   size_t const streamSize = BIT_closeCStream(&blockStream);379        RETURN_ERROR_IF(streamSize==0, dstSize_tooSmall, "not enough space");380        return streamSize;381    }382}383 384static size_t385ZSTD_encodeSequences_default(386            void* dst, size_t dstCapacity,387            FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,388            FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,389            FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,390            seqDef const* sequences, size_t nbSeq, int longOffsets)391{392    return ZSTD_encodeSequences_body(dst, dstCapacity,393                                    CTable_MatchLength, mlCodeTable,394                                    CTable_OffsetBits, ofCodeTable,395                                    CTable_LitLength, llCodeTable,396                                    sequences, nbSeq, longOffsets);397}398 399 400#if DYNAMIC_BMI2401 402static BMI2_TARGET_ATTRIBUTE size_t403ZSTD_encodeSequences_bmi2(404            void* dst, size_t dstCapacity,405            FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,406            FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,407            FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,408            seqDef const* sequences, size_t nbSeq, int longOffsets)409{410    return ZSTD_encodeSequences_body(dst, dstCapacity,411                                    CTable_MatchLength, mlCodeTable,412                                    CTable_OffsetBits, ofCodeTable,413                                    CTable_LitLength, llCodeTable,414                                    sequences, nbSeq, longOffsets);415}416 417#endif418 419size_t ZSTD_encodeSequences(420            void* dst, size_t dstCapacity,421            FSE_CTable const* CTable_MatchLength, BYTE const* mlCodeTable,422            FSE_CTable const* CTable_OffsetBits, BYTE const* ofCodeTable,423            FSE_CTable const* CTable_LitLength, BYTE const* llCodeTable,424            seqDef const* sequences, size_t nbSeq, int longOffsets, int bmi2)425{426    DEBUGLOG(5, "ZSTD_encodeSequences: dstCapacity = %u", (unsigned)dstCapacity);427#if DYNAMIC_BMI2428    if (bmi2) {429        return ZSTD_encodeSequences_bmi2(dst, dstCapacity,430                                         CTable_MatchLength, mlCodeTable,431                                         CTable_OffsetBits, ofCodeTable,432                                         CTable_LitLength, llCodeTable,433                                         sequences, nbSeq, longOffsets);434    }435#endif436    (void)bmi2;437    return ZSTD_encodeSequences_default(dst, dstCapacity,438                                        CTable_MatchLength, mlCodeTable,439                                        CTable_OffsetBits, ofCodeTable,440                                        CTable_LitLength, llCodeTable,441                                        sequences, nbSeq, longOffsets);442}443