The Design and Implementation of the FreeBSD Operating System, Second Edition
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sys/contrib/openzfs/module/zstd/lib/compress/zstd_opt.c

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    1 /*
    2  * Copyright (c) 2016-2020, Przemyslaw Skibinski, Yann Collet, Facebook, Inc.
    3  * All rights reserved.
    4  *
    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.
    9  */
   10 
   11 #include "zstd_compress_internal.h"
   12 #include "hist.h"
   13 #include "zstd_opt.h"
   14 
   15 
   16 #define ZSTD_LITFREQ_ADD    2   /* scaling factor for litFreq, so that frequencies adapt faster to new stats */
   17 #define ZSTD_FREQ_DIV       4   /* log factor when using previous stats to init next stats */
   18 #define ZSTD_MAX_PRICE     (1<<30)
   19 
   20 #define ZSTD_PREDEF_THRESHOLD 1024   /* if srcSize < ZSTD_PREDEF_THRESHOLD, symbols' cost is assumed static, directly determined by pre-defined distributions */
   21 
   22 
   23 /*-*************************************
   24 *  Price functions for optimal parser
   25 ***************************************/
   26 
   27 #if 0    /* approximation at bit level */
   28 #  define BITCOST_ACCURACY 0
   29 #  define BITCOST_MULTIPLIER (1 << BITCOST_ACCURACY)
   30 #  define WEIGHT(stat)  ((void)opt, ZSTD_bitWeight(stat))
   31 #elif 0  /* fractional bit accuracy */
   32 #  define BITCOST_ACCURACY 8
   33 #  define BITCOST_MULTIPLIER (1 << BITCOST_ACCURACY)
   34 #  define WEIGHT(stat,opt) ((void)opt, ZSTD_fracWeight(stat))
   35 #else    /* opt==approx, ultra==accurate */
   36 #  define BITCOST_ACCURACY 8
   37 #  define BITCOST_MULTIPLIER (1 << BITCOST_ACCURACY)
   38 #  define WEIGHT(stat,opt) (opt ? ZSTD_fracWeight(stat) : ZSTD_bitWeight(stat))
   39 #endif
   40 
   41 MEM_STATIC U32 ZSTD_bitWeight(U32 stat)
   42 {
   43     return (ZSTD_highbit32(stat+1) * BITCOST_MULTIPLIER);
   44 }
   45 
   46 MEM_STATIC U32 ZSTD_fracWeight(U32 rawStat)
   47 {
   48     U32 const stat = rawStat + 1;
   49     U32 const hb = ZSTD_highbit32(stat);
   50     U32 const BWeight = hb * BITCOST_MULTIPLIER;
   51     U32 const FWeight = (stat << BITCOST_ACCURACY) >> hb;
   52     U32 const weight = BWeight + FWeight;
   53     assert(hb + BITCOST_ACCURACY < 31);
   54     return weight;
   55 }
   56 
   57 #if (DEBUGLEVEL>=2)
   58 /* debugging function,
   59  * @return price in bytes as fractional value
   60  * for debug messages only */
   61 MEM_STATIC double ZSTD_fCost(U32 price)
   62 {
   63     return (double)price / (BITCOST_MULTIPLIER*8);
   64 }
   65 #endif
   66 
   67 static int ZSTD_compressedLiterals(optState_t const* const optPtr)
   68 {
   69     return optPtr->literalCompressionMode != ZSTD_lcm_uncompressed;
   70 }
   71 
   72 static void ZSTD_setBasePrices(optState_t* optPtr, int optLevel)
   73 {
   74     if (ZSTD_compressedLiterals(optPtr))
   75         optPtr->litSumBasePrice = WEIGHT(optPtr->litSum, optLevel);
   76     optPtr->litLengthSumBasePrice = WEIGHT(optPtr->litLengthSum, optLevel);
   77     optPtr->matchLengthSumBasePrice = WEIGHT(optPtr->matchLengthSum, optLevel);
   78     optPtr->offCodeSumBasePrice = WEIGHT(optPtr->offCodeSum, optLevel);
   79 }
   80 
   81 
   82 /* ZSTD_downscaleStat() :
   83  * reduce all elements in table by a factor 2^(ZSTD_FREQ_DIV+malus)
   84  * return the resulting sum of elements */
   85 static U32 ZSTD_downscaleStat(unsigned* table, U32 lastEltIndex, int malus)
   86 {
   87     U32 s, sum=0;
   88     DEBUGLOG(5, "ZSTD_downscaleStat (nbElts=%u)", (unsigned)lastEltIndex+1);
   89     assert(ZSTD_FREQ_DIV+malus > 0 && ZSTD_FREQ_DIV+malus < 31);
   90     for (s=0; s<lastEltIndex+1; s++) {
   91         table[s] = 1 + (table[s] >> (ZSTD_FREQ_DIV+malus));
   92         sum += table[s];
   93     }
   94     return sum;
   95 }
   96 
   97 /* ZSTD_rescaleFreqs() :
   98  * if first block (detected by optPtr->litLengthSum == 0) : init statistics
   99  *    take hints from dictionary if there is one
  100  *    or init from zero, using src for literals stats, or flat 1 for match symbols
  101  * otherwise downscale existing stats, to be used as seed for next block.
  102  */
  103 static void
  104 ZSTD_rescaleFreqs(optState_t* const optPtr,
  105             const BYTE* const src, size_t const srcSize,
  106                   int const optLevel)
  107 {
  108     int const compressedLiterals = ZSTD_compressedLiterals(optPtr);
  109     DEBUGLOG(5, "ZSTD_rescaleFreqs (srcSize=%u)", (unsigned)srcSize);
  110     optPtr->priceType = zop_dynamic;
  111 
  112     if (optPtr->litLengthSum == 0) {  /* first block : init */
  113         if (srcSize <= ZSTD_PREDEF_THRESHOLD) {  /* heuristic */
  114             DEBUGLOG(5, "(srcSize <= ZSTD_PREDEF_THRESHOLD) => zop_predef");
  115             optPtr->priceType = zop_predef;
  116         }
  117 
  118         assert(optPtr->symbolCosts != NULL);
  119         if (optPtr->symbolCosts->huf.repeatMode == HUF_repeat_valid) {
  120             /* huffman table presumed generated by dictionary */
  121             optPtr->priceType = zop_dynamic;
  122 
  123             if (compressedLiterals) {
  124                 unsigned lit;
  125                 assert(optPtr->litFreq != NULL);
  126                 optPtr->litSum = 0;
  127                 for (lit=0; lit<=MaxLit; lit++) {
  128                     U32 const scaleLog = 11;   /* scale to 2K */
  129                     U32 const bitCost = HUF_getNbBits(optPtr->symbolCosts->huf.CTable, lit);
  130                     assert(bitCost <= scaleLog);
  131                     optPtr->litFreq[lit] = bitCost ? 1 << (scaleLog-bitCost) : 1 /*minimum to calculate cost*/;
  132                     optPtr->litSum += optPtr->litFreq[lit];
  133             }   }
  134 
  135             {   unsigned ll;
  136                 FSE_CState_t llstate;
  137                 FSE_initCState(&llstate, optPtr->symbolCosts->fse.litlengthCTable);
  138                 optPtr->litLengthSum = 0;
  139                 for (ll=0; ll<=MaxLL; ll++) {
  140                     U32 const scaleLog = 10;   /* scale to 1K */
  141                     U32 const bitCost = FSE_getMaxNbBits(llstate.symbolTT, ll);
  142                     assert(bitCost < scaleLog);
  143                     optPtr->litLengthFreq[ll] = bitCost ? 1 << (scaleLog-bitCost) : 1 /*minimum to calculate cost*/;
  144                     optPtr->litLengthSum += optPtr->litLengthFreq[ll];
  145             }   }
  146 
  147             {   unsigned ml;
  148                 FSE_CState_t mlstate;
  149                 FSE_initCState(&mlstate, optPtr->symbolCosts->fse.matchlengthCTable);
  150                 optPtr->matchLengthSum = 0;
  151                 for (ml=0; ml<=MaxML; ml++) {
  152                     U32 const scaleLog = 10;
  153                     U32 const bitCost = FSE_getMaxNbBits(mlstate.symbolTT, ml);
  154                     assert(bitCost < scaleLog);
  155                     optPtr->matchLengthFreq[ml] = bitCost ? 1 << (scaleLog-bitCost) : 1 /*minimum to calculate cost*/;
  156                     optPtr->matchLengthSum += optPtr->matchLengthFreq[ml];
  157             }   }
  158 
  159             {   unsigned of;
  160                 FSE_CState_t ofstate;
  161                 FSE_initCState(&ofstate, optPtr->symbolCosts->fse.offcodeCTable);
  162                 optPtr->offCodeSum = 0;
  163                 for (of=0; of<=MaxOff; of++) {
  164                     U32 const scaleLog = 10;
  165                     U32 const bitCost = FSE_getMaxNbBits(ofstate.symbolTT, of);
  166                     assert(bitCost < scaleLog);
  167                     optPtr->offCodeFreq[of] = bitCost ? 1 << (scaleLog-bitCost) : 1 /*minimum to calculate cost*/;
  168                     optPtr->offCodeSum += optPtr->offCodeFreq[of];
  169             }   }
  170 
  171         } else {  /* not a dictionary */
  172 
  173             assert(optPtr->litFreq != NULL);
  174             if (compressedLiterals) {
  175                 unsigned lit = MaxLit;
  176                 HIST_count_simple(optPtr->litFreq, &lit, src, srcSize);   /* use raw first block to init statistics */
  177                 optPtr->litSum = ZSTD_downscaleStat(optPtr->litFreq, MaxLit, 1);
  178             }
  179 
  180             {   unsigned ll;
  181                 for (ll=0; ll<=MaxLL; ll++)
  182                     optPtr->litLengthFreq[ll] = 1;
  183             }
  184             optPtr->litLengthSum = MaxLL+1;
  185 
  186             {   unsigned ml;
  187                 for (ml=0; ml<=MaxML; ml++)
  188                     optPtr->matchLengthFreq[ml] = 1;
  189             }
  190             optPtr->matchLengthSum = MaxML+1;
  191 
  192             {   unsigned of;
  193                 for (of=0; of<=MaxOff; of++)
  194                     optPtr->offCodeFreq[of] = 1;
  195             }
  196             optPtr->offCodeSum = MaxOff+1;
  197 
  198         }
  199 
  200     } else {   /* new block : re-use previous statistics, scaled down */
  201 
  202         if (compressedLiterals)
  203             optPtr->litSum = ZSTD_downscaleStat(optPtr->litFreq, MaxLit, 1);
  204         optPtr->litLengthSum = ZSTD_downscaleStat(optPtr->litLengthFreq, MaxLL, 0);
  205         optPtr->matchLengthSum = ZSTD_downscaleStat(optPtr->matchLengthFreq, MaxML, 0);
  206         optPtr->offCodeSum = ZSTD_downscaleStat(optPtr->offCodeFreq, MaxOff, 0);
  207     }
  208 
  209     ZSTD_setBasePrices(optPtr, optLevel);
  210 }
  211 
  212 /* ZSTD_rawLiteralsCost() :
  213  * price of literals (only) in specified segment (which length can be 0).
  214  * does not include price of literalLength symbol */
  215 static U32 ZSTD_rawLiteralsCost(const BYTE* const literals, U32 const litLength,
  216                                 const optState_t* const optPtr,
  217                                 int optLevel)
  218 {
  219     if (litLength == 0) return 0;
  220 
  221     if (!ZSTD_compressedLiterals(optPtr))
  222         return (litLength << 3) * BITCOST_MULTIPLIER;  /* Uncompressed - 8 bytes per literal. */
  223 
  224     if (optPtr->priceType == zop_predef)
  225         return (litLength*6) * BITCOST_MULTIPLIER;  /* 6 bit per literal - no statistic used */
  226 
  227     /* dynamic statistics */
  228     {   U32 price = litLength * optPtr->litSumBasePrice;
  229         U32 u;
  230         for (u=0; u < litLength; u++) {
  231             assert(WEIGHT(optPtr->litFreq[literals[u]], optLevel) <= optPtr->litSumBasePrice);   /* literal cost should never be negative */
  232             price -= WEIGHT(optPtr->litFreq[literals[u]], optLevel);
  233         }
  234         return price;
  235     }
  236 }
  237 
  238 /* ZSTD_litLengthPrice() :
  239  * cost of literalLength symbol */
  240 static U32 ZSTD_litLengthPrice(U32 const litLength, const optState_t* const optPtr, int optLevel)
  241 {
  242     if (optPtr->priceType == zop_predef) return WEIGHT(litLength, optLevel);
  243 
  244     /* dynamic statistics */
  245     {   U32 const llCode = ZSTD_LLcode(litLength);
  246         return (LL_bits[llCode] * BITCOST_MULTIPLIER)
  247              + optPtr->litLengthSumBasePrice
  248              - WEIGHT(optPtr->litLengthFreq[llCode], optLevel);
  249     }
  250 }
  251 
  252 /* ZSTD_getMatchPrice() :
  253  * Provides the cost of the match part (offset + matchLength) of a sequence
  254  * Must be combined with ZSTD_fullLiteralsCost() to get the full cost of a sequence.
  255  * optLevel: when <2, favors small offset for decompression speed (improved cache efficiency) */
  256 FORCE_INLINE_TEMPLATE U32
  257 ZSTD_getMatchPrice(U32 const offset,
  258                    U32 const matchLength,
  259              const optState_t* const optPtr,
  260                    int const optLevel)
  261 {
  262     U32 price;
  263     U32 const offCode = ZSTD_highbit32(offset+1);
  264     U32 const mlBase = matchLength - MINMATCH;
  265     assert(matchLength >= MINMATCH);
  266 
  267     if (optPtr->priceType == zop_predef)  /* fixed scheme, do not use statistics */
  268         return WEIGHT(mlBase, optLevel) + ((16 + offCode) * BITCOST_MULTIPLIER);
  269 
  270     /* dynamic statistics */
  271     price = (offCode * BITCOST_MULTIPLIER) + (optPtr->offCodeSumBasePrice - WEIGHT(optPtr->offCodeFreq[offCode], optLevel));
  272     if ((optLevel<2) /*static*/ && offCode >= 20)
  273         price += (offCode-19)*2 * BITCOST_MULTIPLIER; /* handicap for long distance offsets, favor decompression speed */
  274 
  275     /* match Length */
  276     {   U32 const mlCode = ZSTD_MLcode(mlBase);
  277         price += (ML_bits[mlCode] * BITCOST_MULTIPLIER) + (optPtr->matchLengthSumBasePrice - WEIGHT(optPtr->matchLengthFreq[mlCode], optLevel));
  278     }
  279 
  280     price += BITCOST_MULTIPLIER / 5;   /* heuristic : make matches a bit more costly to favor less sequences -> faster decompression speed */
  281 
  282     DEBUGLOG(8, "ZSTD_getMatchPrice(ml:%u) = %u", matchLength, price);
  283     return price;
  284 }
  285 
  286 /* ZSTD_updateStats() :
  287  * assumption : literals + litLengtn <= iend */
  288 static void ZSTD_updateStats(optState_t* const optPtr,
  289                              U32 litLength, const BYTE* literals,
  290                              U32 offsetCode, U32 matchLength)
  291 {
  292     /* literals */
  293     if (ZSTD_compressedLiterals(optPtr)) {
  294         U32 u;
  295         for (u=0; u < litLength; u++)
  296             optPtr->litFreq[literals[u]] += ZSTD_LITFREQ_ADD;
  297         optPtr->litSum += litLength*ZSTD_LITFREQ_ADD;
  298     }
  299 
  300     /* literal Length */
  301     {   U32 const llCode = ZSTD_LLcode(litLength);
  302         optPtr->litLengthFreq[llCode]++;
  303         optPtr->litLengthSum++;
  304     }
  305 
  306     /* match offset code (0-2=>repCode; 3+=>offset+2) */
  307     {   U32 const offCode = ZSTD_highbit32(offsetCode+1);
  308         assert(offCode <= MaxOff);
  309         optPtr->offCodeFreq[offCode]++;
  310         optPtr->offCodeSum++;
  311     }
  312 
  313     /* match Length */
  314     {   U32 const mlBase = matchLength - MINMATCH;
  315         U32 const mlCode = ZSTD_MLcode(mlBase);
  316         optPtr->matchLengthFreq[mlCode]++;
  317         optPtr->matchLengthSum++;
  318     }
  319 }
  320 
  321 
  322 /* ZSTD_readMINMATCH() :
  323  * function safe only for comparisons
  324  * assumption : memPtr must be at least 4 bytes before end of buffer */
  325 MEM_STATIC U32 ZSTD_readMINMATCH(const void* memPtr, U32 length)
  326 {
  327     switch (length)
  328     {
  329     default :
  330     case 4 : return MEM_read32(memPtr);
  331     case 3 : if (MEM_isLittleEndian())
  332                 return MEM_read32(memPtr)<<8;
  333              else
  334                 return MEM_read32(memPtr)>>8;
  335     }
  336 }
  337 
  338 
  339 /* Update hashTable3 up to ip (excluded)
  340    Assumption : always within prefix (i.e. not within extDict) */
  341 static U32 ZSTD_insertAndFindFirstIndexHash3 (ZSTD_matchState_t* ms,
  342                                               U32* nextToUpdate3,
  343                                               const BYTE* const ip)
  344 {
  345     U32* const hashTable3 = ms->hashTable3;
  346     U32 const hashLog3 = ms->hashLog3;
  347     const BYTE* const base = ms->window.base;
  348     U32 idx = *nextToUpdate3;
  349     U32 const target = (U32)(ip - base);
  350     size_t const hash3 = ZSTD_hash3Ptr(ip, hashLog3);
  351     assert(hashLog3 > 0);
  352 
  353     while(idx < target) {
  354         hashTable3[ZSTD_hash3Ptr(base+idx, hashLog3)] = idx;
  355         idx++;
  356     }
  357 
  358     *nextToUpdate3 = target;
  359     return hashTable3[hash3];
  360 }
  361 
  362 
  363 /*-*************************************
  364 *  Binary Tree search
  365 ***************************************/
  366 /** ZSTD_insertBt1() : add one or multiple positions to tree.
  367  *  ip : assumed <= iend-8 .
  368  * @return : nb of positions added */
  369 static U32 ZSTD_insertBt1(
  370                 ZSTD_matchState_t* ms,
  371                 const BYTE* const ip, const BYTE* const iend,
  372                 U32 const mls, const int extDict)
  373 {
  374     const ZSTD_compressionParameters* const cParams = &ms->cParams;
  375     U32*   const hashTable = ms->hashTable;
  376     U32    const hashLog = cParams->hashLog;
  377     size_t const h  = ZSTD_hashPtr(ip, hashLog, mls);
  378     U32*   const bt = ms->chainTable;
  379     U32    const btLog  = cParams->chainLog - 1;
  380     U32    const btMask = (1 << btLog) - 1;
  381     U32 matchIndex = hashTable[h];
  382     size_t commonLengthSmaller=0, commonLengthLarger=0;
  383     const BYTE* const base = ms->window.base;
  384     const BYTE* const dictBase = ms->window.dictBase;
  385     const U32 dictLimit = ms->window.dictLimit;
  386     const BYTE* const dictEnd = dictBase + dictLimit;
  387     const BYTE* const prefixStart = base + dictLimit;
  388     const BYTE* match;
  389     const U32 current = (U32)(ip-base);
  390     const U32 btLow = btMask >= current ? 0 : current - btMask;
  391     U32* smallerPtr = bt + 2*(current&btMask);
  392     U32* largerPtr  = smallerPtr + 1;
  393     U32 dummy32;   /* to be nullified at the end */
  394     U32 const windowLow = ms->window.lowLimit;
  395     U32 matchEndIdx = current+8+1;
  396     size_t bestLength = 8;
  397     U32 nbCompares = 1U << cParams->searchLog;
  398 #ifdef ZSTD_C_PREDICT
  399     U32 predictedSmall = *(bt + 2*((current-1)&btMask) + 0);
  400     U32 predictedLarge = *(bt + 2*((current-1)&btMask) + 1);
  401     predictedSmall += (predictedSmall>0);
  402     predictedLarge += (predictedLarge>0);
  403 #endif /* ZSTD_C_PREDICT */
  404 
  405     DEBUGLOG(8, "ZSTD_insertBt1 (%u)", current);
  406 
  407     assert(ip <= iend-8);   /* required for h calculation */
  408     hashTable[h] = current;   /* Update Hash Table */
  409 
  410     assert(windowLow > 0);
  411     while (nbCompares-- && (matchIndex >= windowLow)) {
  412         U32* const nextPtr = bt + 2*(matchIndex & btMask);
  413         size_t matchLength = MIN(commonLengthSmaller, commonLengthLarger);   /* guaranteed minimum nb of common bytes */
  414         assert(matchIndex < current);
  415 
  416 #ifdef ZSTD_C_PREDICT   /* note : can create issues when hlog small <= 11 */
  417         const U32* predictPtr = bt + 2*((matchIndex-1) & btMask);   /* written this way, as bt is a roll buffer */
  418         if (matchIndex == predictedSmall) {
  419             /* no need to check length, result known */
  420             *smallerPtr = matchIndex;
  421             if (matchIndex <= btLow) { smallerPtr=&dummy32; break; }   /* beyond tree size, stop the search */
  422             smallerPtr = nextPtr+1;               /* new "smaller" => larger of match */
  423             matchIndex = nextPtr[1];              /* new matchIndex larger than previous (closer to current) */
  424             predictedSmall = predictPtr[1] + (predictPtr[1]>0);
  425             continue;
  426         }
  427         if (matchIndex == predictedLarge) {
  428             *largerPtr = matchIndex;
  429             if (matchIndex <= btLow) { largerPtr=&dummy32; break; }   /* beyond tree size, stop the search */
  430             largerPtr = nextPtr;
  431             matchIndex = nextPtr[0];
  432             predictedLarge = predictPtr[0] + (predictPtr[0]>0);
  433             continue;
  434         }
  435 #endif
  436 
  437         if (!extDict || (matchIndex+matchLength >= dictLimit)) {
  438             assert(matchIndex+matchLength >= dictLimit);   /* might be wrong if actually extDict */
  439             match = base + matchIndex;
  440             matchLength += ZSTD_count(ip+matchLength, match+matchLength, iend);
  441         } else {
  442             match = dictBase + matchIndex;
  443             matchLength += ZSTD_count_2segments(ip+matchLength, match+matchLength, iend, dictEnd, prefixStart);
  444             if (matchIndex+matchLength >= dictLimit)
  445                 match = base + matchIndex;   /* to prepare for next usage of match[matchLength] */
  446         }
  447 
  448         if (matchLength > bestLength) {
  449             bestLength = matchLength;
  450             if (matchLength > matchEndIdx - matchIndex)
  451                 matchEndIdx = matchIndex + (U32)matchLength;
  452         }
  453 
  454         if (ip+matchLength == iend) {   /* equal : no way to know if inf or sup */
  455             break;   /* drop , to guarantee consistency ; miss a bit of compression, but other solutions can corrupt tree */
  456         }
  457 
  458         if (match[matchLength] < ip[matchLength]) {  /* necessarily within buffer */
  459             /* match is smaller than current */
  460             *smallerPtr = matchIndex;             /* update smaller idx */
  461             commonLengthSmaller = matchLength;    /* all smaller will now have at least this guaranteed common length */
  462             if (matchIndex <= btLow) { smallerPtr=&dummy32; break; }   /* beyond tree size, stop searching */
  463             smallerPtr = nextPtr+1;               /* new "candidate" => larger than match, which was smaller than target */
  464             matchIndex = nextPtr[1];              /* new matchIndex, larger than previous and closer to current */
  465         } else {
  466             /* match is larger than current */
  467             *largerPtr = matchIndex;
  468             commonLengthLarger = matchLength;
  469             if (matchIndex <= btLow) { largerPtr=&dummy32; break; }   /* beyond tree size, stop searching */
  470             largerPtr = nextPtr;
  471             matchIndex = nextPtr[0];
  472     }   }
  473 
  474     *smallerPtr = *largerPtr = 0;
  475     {   U32 positions = 0;
  476         if (bestLength > 384) positions = MIN(192, (U32)(bestLength - 384));   /* speed optimization */
  477         assert(matchEndIdx > current + 8);
  478         return MAX(positions, matchEndIdx - (current + 8));
  479     }
  480 }
  481 
  482 FORCE_INLINE_TEMPLATE
  483 void ZSTD_updateTree_internal(
  484                 ZSTD_matchState_t* ms,
  485                 const BYTE* const ip, const BYTE* const iend,
  486                 const U32 mls, const ZSTD_dictMode_e dictMode)
  487 {
  488     const BYTE* const base = ms->window.base;
  489     U32 const target = (U32)(ip - base);
  490     U32 idx = ms->nextToUpdate;
  491     DEBUGLOG(6, "ZSTD_updateTree_internal, from %u to %u  (dictMode:%u)",
  492                 idx, target, dictMode);
  493 
  494     while(idx < target) {
  495         U32 const forward = ZSTD_insertBt1(ms, base+idx, iend, mls, dictMode == ZSTD_extDict);
  496         assert(idx < (U32)(idx + forward));
  497         idx += forward;
  498     }
  499     assert((size_t)(ip - base) <= (size_t)(U32)(-1));
  500     assert((size_t)(iend - base) <= (size_t)(U32)(-1));
  501     ms->nextToUpdate = target;
  502 }
  503 
  504 void ZSTD_updateTree(ZSTD_matchState_t* ms, const BYTE* ip, const BYTE* iend) {
  505     ZSTD_updateTree_internal(ms, ip, iend, ms->cParams.minMatch, ZSTD_noDict);
  506 }
  507 
  508 FORCE_INLINE_TEMPLATE
  509 U32 ZSTD_insertBtAndGetAllMatches (
  510                     ZSTD_match_t* matches,   /* store result (found matches) in this table (presumed large enough) */
  511                     ZSTD_matchState_t* ms,
  512                     U32* nextToUpdate3,
  513                     const BYTE* const ip, const BYTE* const iLimit, const ZSTD_dictMode_e dictMode,
  514                     const U32 rep[ZSTD_REP_NUM],
  515                     U32 const ll0,   /* tells if associated literal length is 0 or not. This value must be 0 or 1 */
  516                     const U32 lengthToBeat,
  517                     U32 const mls /* template */)
  518 {
  519     const ZSTD_compressionParameters* const cParams = &ms->cParams;
  520     U32 const sufficient_len = MIN(cParams->targetLength, ZSTD_OPT_NUM -1);
  521     const BYTE* const base = ms->window.base;
  522     U32 const current = (U32)(ip-base);
  523     U32 const hashLog = cParams->hashLog;
  524     U32 const minMatch = (mls==3) ? 3 : 4;
  525     U32* const hashTable = ms->hashTable;
  526     size_t const h  = ZSTD_hashPtr(ip, hashLog, mls);
  527     U32 matchIndex  = hashTable[h];
  528     U32* const bt   = ms->chainTable;
  529     U32 const btLog = cParams->chainLog - 1;
  530     U32 const btMask= (1U << btLog) - 1;
  531     size_t commonLengthSmaller=0, commonLengthLarger=0;
  532     const BYTE* const dictBase = ms->window.dictBase;
  533     U32 const dictLimit = ms->window.dictLimit;
  534     const BYTE* const dictEnd = dictBase + dictLimit;
  535     const BYTE* const prefixStart = base + dictLimit;
  536     U32 const btLow = (btMask >= current) ? 0 : current - btMask;
  537     U32 const windowLow = ZSTD_getLowestMatchIndex(ms, current, cParams->windowLog);
  538     U32 const matchLow = windowLow ? windowLow : 1;
  539     U32* smallerPtr = bt + 2*(current&btMask);
  540     U32* largerPtr  = bt + 2*(current&btMask) + 1;
  541     U32 matchEndIdx = current+8+1;   /* farthest referenced position of any match => detects repetitive patterns */
  542     U32 dummy32;   /* to be nullified at the end */
  543     U32 mnum = 0;
  544     U32 nbCompares = 1U << cParams->searchLog;
  545 
  546     const ZSTD_matchState_t* dms    = dictMode == ZSTD_dictMatchState ? ms->dictMatchState : NULL;
  547     const ZSTD_compressionParameters* const dmsCParams =
  548                                       dictMode == ZSTD_dictMatchState ? &dms->cParams : NULL;
  549     const BYTE* const dmsBase       = dictMode == ZSTD_dictMatchState ? dms->window.base : NULL;
  550     const BYTE* const dmsEnd        = dictMode == ZSTD_dictMatchState ? dms->window.nextSrc : NULL;
  551     U32         const dmsHighLimit  = dictMode == ZSTD_dictMatchState ? (U32)(dmsEnd - dmsBase) : 0;
  552     U32         const dmsLowLimit   = dictMode == ZSTD_dictMatchState ? dms->window.lowLimit : 0;
  553     U32         const dmsIndexDelta = dictMode == ZSTD_dictMatchState ? windowLow - dmsHighLimit : 0;
  554     U32         const dmsHashLog    = dictMode == ZSTD_dictMatchState ? dmsCParams->hashLog : hashLog;
  555     U32         const dmsBtLog      = dictMode == ZSTD_dictMatchState ? dmsCParams->chainLog - 1 : btLog;
  556     U32         const dmsBtMask     = dictMode == ZSTD_dictMatchState ? (1U << dmsBtLog) - 1 : 0;
  557     U32         const dmsBtLow      = dictMode == ZSTD_dictMatchState && dmsBtMask < dmsHighLimit - dmsLowLimit ? dmsHighLimit - dmsBtMask : dmsLowLimit;
  558 
  559     size_t bestLength = lengthToBeat-1;
  560     DEBUGLOG(8, "ZSTD_insertBtAndGetAllMatches: current=%u", current);
  561 
  562     /* check repCode */
  563     assert(ll0 <= 1);   /* necessarily 1 or 0 */
  564     {   U32 const lastR = ZSTD_REP_NUM + ll0;
  565         U32 repCode;
  566         for (repCode = ll0; repCode < lastR; repCode++) {
  567             U32 const repOffset = (repCode==ZSTD_REP_NUM) ? (rep[0] - 1) : rep[repCode];
  568             U32 const repIndex = current - repOffset;
  569             U32 repLen = 0;
  570             assert(current >= dictLimit);
  571             if (repOffset-1 /* intentional overflow, discards 0 and -1 */ < current-dictLimit) {  /* equivalent to `current > repIndex >= dictLimit` */
  572                 /* We must validate the repcode offset because when we're using a dictionary the
  573                  * valid offset range shrinks when the dictionary goes out of bounds.
  574                  */
  575                 if ((repIndex >= windowLow) & (ZSTD_readMINMATCH(ip, minMatch) == ZSTD_readMINMATCH(ip - repOffset, minMatch))) {
  576                     repLen = (U32)ZSTD_count(ip+minMatch, ip+minMatch-repOffset, iLimit) + minMatch;
  577                 }
  578             } else {  /* repIndex < dictLimit || repIndex >= current */
  579                 const BYTE* const repMatch = dictMode == ZSTD_dictMatchState ?
  580                                              dmsBase + repIndex - dmsIndexDelta :
  581                                              dictBase + repIndex;
  582                 assert(current >= windowLow);
  583                 if ( dictMode == ZSTD_extDict
  584                   && ( ((repOffset-1) /*intentional overflow*/ < current - windowLow)  /* equivalent to `current > repIndex >= windowLow` */
  585                      & (((U32)((dictLimit-1) - repIndex) >= 3) ) /* intentional overflow : do not test positions overlapping 2 memory segments */)
  586                   && (ZSTD_readMINMATCH(ip, minMatch) == ZSTD_readMINMATCH(repMatch, minMatch)) ) {
  587                     repLen = (U32)ZSTD_count_2segments(ip+minMatch, repMatch+minMatch, iLimit, dictEnd, prefixStart) + minMatch;
  588                 }
  589                 if (dictMode == ZSTD_dictMatchState
  590                   && ( ((repOffset-1) /*intentional overflow*/ < current - (dmsLowLimit + dmsIndexDelta))  /* equivalent to `current > repIndex >= dmsLowLimit` */
  591                      & ((U32)((dictLimit-1) - repIndex) >= 3) ) /* intentional overflow : do not test positions overlapping 2 memory segments */
  592                   && (ZSTD_readMINMATCH(ip, minMatch) == ZSTD_readMINMATCH(repMatch, minMatch)) ) {
  593                     repLen = (U32)ZSTD_count_2segments(ip+minMatch, repMatch+minMatch, iLimit, dmsEnd, prefixStart) + minMatch;
  594             }   }
  595             /* save longer solution */
  596             if (repLen > bestLength) {
  597                 DEBUGLOG(8, "found repCode %u (ll0:%u, offset:%u) of length %u",
  598                             repCode, ll0, repOffset, repLen);
  599                 bestLength = repLen;
  600                 matches[mnum].off = repCode - ll0;
  601                 matches[mnum].len = (U32)repLen;
  602                 mnum++;
  603                 if ( (repLen > sufficient_len)
  604                    | (ip+repLen == iLimit) ) {  /* best possible */
  605                     return mnum;
  606     }   }   }   }
  607 
  608     /* HC3 match finder */
  609     if ((mls == 3) /*static*/ && (bestLength < mls)) {
  610         U32 const matchIndex3 = ZSTD_insertAndFindFirstIndexHash3(ms, nextToUpdate3, ip);
  611         if ((matchIndex3 >= matchLow)
  612           & (current - matchIndex3 < (1<<18)) /*heuristic : longer distance likely too expensive*/ ) {
  613             size_t mlen;
  614             if ((dictMode == ZSTD_noDict) /*static*/ || (dictMode == ZSTD_dictMatchState) /*static*/ || (matchIndex3 >= dictLimit)) {
  615                 const BYTE* const match = base + matchIndex3;
  616                 mlen = ZSTD_count(ip, match, iLimit);
  617             } else {
  618                 const BYTE* const match = dictBase + matchIndex3;
  619                 mlen = ZSTD_count_2segments(ip, match, iLimit, dictEnd, prefixStart);
  620             }
  621 
  622             /* save best solution */
  623             if (mlen >= mls /* == 3 > bestLength */) {
  624                 DEBUGLOG(8, "found small match with hlog3, of length %u",
  625                             (U32)mlen);
  626                 bestLength = mlen;
  627                 assert(current > matchIndex3);
  628                 assert(mnum==0);  /* no prior solution */
  629                 matches[0].off = (current - matchIndex3) + ZSTD_REP_MOVE;
  630                 matches[0].len = (U32)mlen;
  631                 mnum = 1;
  632                 if ( (mlen > sufficient_len) |
  633                      (ip+mlen == iLimit) ) {  /* best possible length */
  634                     ms->nextToUpdate = current+1;  /* skip insertion */
  635                     return 1;
  636         }   }   }
  637         /* no dictMatchState lookup: dicts don't have a populated HC3 table */
  638     }
  639 
  640     hashTable[h] = current;   /* Update Hash Table */
  641 
  642     while (nbCompares-- && (matchIndex >= matchLow)) {
  643         U32* const nextPtr = bt + 2*(matchIndex & btMask);
  644         const BYTE* match;
  645         size_t matchLength = MIN(commonLengthSmaller, commonLengthLarger);   /* guaranteed minimum nb of common bytes */
  646         assert(current > matchIndex);
  647 
  648         if ((dictMode == ZSTD_noDict) || (dictMode == ZSTD_dictMatchState) || (matchIndex+matchLength >= dictLimit)) {
  649             assert(matchIndex+matchLength >= dictLimit);  /* ensure the condition is correct when !extDict */
  650             match = base + matchIndex;
  651             if (matchIndex >= dictLimit) assert(memcmp(match, ip, matchLength) == 0);  /* ensure early section of match is equal as expected */
  652             matchLength += ZSTD_count(ip+matchLength, match+matchLength, iLimit);
  653         } else {
  654             match = dictBase + matchIndex;
  655             assert(memcmp(match, ip, matchLength) == 0);  /* ensure early section of match is equal as expected */
  656             matchLength += ZSTD_count_2segments(ip+matchLength, match+matchLength, iLimit, dictEnd, prefixStart);
  657             if (matchIndex+matchLength >= dictLimit)
  658                 match = base + matchIndex;   /* prepare for match[matchLength] read */
  659         }
  660 
  661         if (matchLength > bestLength) {
  662             DEBUGLOG(8, "found match of length %u at distance %u (offCode=%u)",
  663                     (U32)matchLength, current - matchIndex, current - matchIndex + ZSTD_REP_MOVE);
  664             assert(matchEndIdx > matchIndex);
  665             if (matchLength > matchEndIdx - matchIndex)
  666                 matchEndIdx = matchIndex + (U32)matchLength;
  667             bestLength = matchLength;
  668             matches[mnum].off = (current - matchIndex) + ZSTD_REP_MOVE;
  669             matches[mnum].len = (U32)matchLength;
  670             mnum++;
  671             if ( (matchLength > ZSTD_OPT_NUM)
  672                | (ip+matchLength == iLimit) /* equal : no way to know if inf or sup */) {
  673                 if (dictMode == ZSTD_dictMatchState) nbCompares = 0; /* break should also skip searching dms */
  674                 break; /* drop, to preserve bt consistency (miss a little bit of compression) */
  675             }
  676         }
  677 
  678         if (match[matchLength] < ip[matchLength]) {
  679             /* match smaller than current */
  680             *smallerPtr = matchIndex;             /* update smaller idx */
  681             commonLengthSmaller = matchLength;    /* all smaller will now have at least this guaranteed common length */
  682             if (matchIndex <= btLow) { smallerPtr=&dummy32; break; }   /* beyond tree size, stop the search */
  683             smallerPtr = nextPtr+1;               /* new candidate => larger than match, which was smaller than current */
  684             matchIndex = nextPtr[1];              /* new matchIndex, larger than previous, closer to current */
  685         } else {
  686             *largerPtr = matchIndex;
  687             commonLengthLarger = matchLength;
  688             if (matchIndex <= btLow) { largerPtr=&dummy32; break; }   /* beyond tree size, stop the search */
  689             largerPtr = nextPtr;
  690             matchIndex = nextPtr[0];
  691     }   }
  692 
  693     *smallerPtr = *largerPtr = 0;
  694 
  695     if (dictMode == ZSTD_dictMatchState && nbCompares) {
  696         size_t const dmsH = ZSTD_hashPtr(ip, dmsHashLog, mls);
  697         U32 dictMatchIndex = dms->hashTable[dmsH];
  698         const U32* const dmsBt = dms->chainTable;
  699         commonLengthSmaller = commonLengthLarger = 0;
  700         while (nbCompares-- && (dictMatchIndex > dmsLowLimit)) {
  701             const U32* const nextPtr = dmsBt + 2*(dictMatchIndex & dmsBtMask);
  702             size_t matchLength = MIN(commonLengthSmaller, commonLengthLarger);   /* guaranteed minimum nb of common bytes */
  703             const BYTE* match = dmsBase + dictMatchIndex;
  704             matchLength += ZSTD_count_2segments(ip+matchLength, match+matchLength, iLimit, dmsEnd, prefixStart);
  705             if (dictMatchIndex+matchLength >= dmsHighLimit)
  706                 match = base + dictMatchIndex + dmsIndexDelta;   /* to prepare for next usage of match[matchLength] */
  707 
  708             if (matchLength > bestLength) {
  709                 matchIndex = dictMatchIndex + dmsIndexDelta;
  710                 DEBUGLOG(8, "found dms match of length %u at distance %u (offCode=%u)",
  711                         (U32)matchLength, current - matchIndex, current - matchIndex + ZSTD_REP_MOVE);
  712                 if (matchLength > matchEndIdx - matchIndex)
  713                     matchEndIdx = matchIndex + (U32)matchLength;
  714                 bestLength = matchLength;
  715                 matches[mnum].off = (current - matchIndex) + ZSTD_REP_MOVE;
  716                 matches[mnum].len = (U32)matchLength;
  717                 mnum++;
  718                 if ( (matchLength > ZSTD_OPT_NUM)
  719                    | (ip+matchLength == iLimit) /* equal : no way to know if inf or sup */) {
  720                     break;   /* drop, to guarantee consistency (miss a little bit of compression) */
  721                 }
  722             }
  723 
  724             if (dictMatchIndex <= dmsBtLow) { break; }   /* beyond tree size, stop the search */
  725             if (match[matchLength] < ip[matchLength]) {
  726                 commonLengthSmaller = matchLength;    /* all smaller will now have at least this guaranteed common length */
  727                 dictMatchIndex = nextPtr[1];              /* new matchIndex larger than previous (closer to current) */
  728             } else {
  729                 /* match is larger than current */
  730                 commonLengthLarger = matchLength;
  731                 dictMatchIndex = nextPtr[0];
  732             }
  733         }
  734     }
  735 
  736     assert(matchEndIdx > current+8);
  737     ms->nextToUpdate = matchEndIdx - 8;  /* skip repetitive patterns */
  738     return mnum;
  739 }
  740 
  741 
  742 FORCE_INLINE_TEMPLATE U32 ZSTD_BtGetAllMatches (
  743                         ZSTD_match_t* matches,   /* store result (match found, increasing size) in this table */
  744                         ZSTD_matchState_t* ms,
  745                         U32* nextToUpdate3,
  746                         const BYTE* ip, const BYTE* const iHighLimit, const ZSTD_dictMode_e dictMode,
  747                         const U32 rep[ZSTD_REP_NUM],
  748                         U32 const ll0,
  749                         U32 const lengthToBeat)
  750 {
  751     const ZSTD_compressionParameters* const cParams = &ms->cParams;
  752     U32 const matchLengthSearch = cParams->minMatch;
  753     DEBUGLOG(8, "ZSTD_BtGetAllMatches");
  754     if (ip < ms->window.base + ms->nextToUpdate) return 0;   /* skipped area */
  755     ZSTD_updateTree_internal(ms, ip, iHighLimit, matchLengthSearch, dictMode);
  756     switch(matchLengthSearch)
  757     {
  758     case 3 : return ZSTD_insertBtAndGetAllMatches(matches, ms, nextToUpdate3, ip, iHighLimit, dictMode, rep, ll0, lengthToBeat, 3);
  759     default :
  760     case 4 : return ZSTD_insertBtAndGetAllMatches(matches, ms, nextToUpdate3, ip, iHighLimit, dictMode, rep, ll0, lengthToBeat, 4);
  761     case 5 : return ZSTD_insertBtAndGetAllMatches(matches, ms, nextToUpdate3, ip, iHighLimit, dictMode, rep, ll0, lengthToBeat, 5);
  762     case 7 :
  763     case 6 : return ZSTD_insertBtAndGetAllMatches(matches, ms, nextToUpdate3, ip, iHighLimit, dictMode, rep, ll0, lengthToBeat, 6);
  764     }
  765 }
  766 
  767 
  768 /*-*******************************
  769 *  Optimal parser
  770 *********************************/
  771 
  772 
  773 static U32 ZSTD_totalLen(ZSTD_optimal_t sol)
  774 {
  775     return sol.litlen + sol.mlen;
  776 }
  777 
  778 #if 0 /* debug */
  779 
  780 static void
  781 listStats(const U32* table, int lastEltID)
  782 {
  783     int const nbElts = lastEltID + 1;
  784     int enb;
  785     for (enb=0; enb < nbElts; enb++) {
  786         (void)table;
  787         /* RAWLOG(2, "%3i:%3i,  ", enb, table[enb]); */
  788         RAWLOG(2, "%4i,", table[enb]);
  789     }
  790     RAWLOG(2, " \n");
  791 }
  792 
  793 #endif
  794 
  795 FORCE_INLINE_TEMPLATE size_t
  796 ZSTD_compressBlock_opt_generic(ZSTD_matchState_t* ms,
  797                                seqStore_t* seqStore,
  798                                U32 rep[ZSTD_REP_NUM],
  799                          const void* src, size_t srcSize,
  800                          const int optLevel,
  801                          const ZSTD_dictMode_e dictMode)
  802 {
  803     optState_t* const optStatePtr = &ms->opt;
  804     const BYTE* const istart = (const BYTE*)src;
  805     const BYTE* ip = istart;
  806     const BYTE* anchor = istart;
  807     const BYTE* const iend = istart + srcSize;
  808     const BYTE* const ilimit = iend - 8;
  809     const BYTE* const base = ms->window.base;
  810     const BYTE* const prefixStart = base + ms->window.dictLimit;
  811     const ZSTD_compressionParameters* const cParams = &ms->cParams;
  812 
  813     U32 const sufficient_len = MIN(cParams->targetLength, ZSTD_OPT_NUM -1);
  814     U32 const minMatch = (cParams->minMatch == 3) ? 3 : 4;
  815     U32 nextToUpdate3 = ms->nextToUpdate;
  816 
  817     ZSTD_optimal_t* const opt = optStatePtr->priceTable;
  818     ZSTD_match_t* const matches = optStatePtr->matchTable;
  819     ZSTD_optimal_t lastSequence;
  820 
  821     /* init */
  822     DEBUGLOG(5, "ZSTD_compressBlock_opt_generic: current=%u, prefix=%u, nextToUpdate=%u",
  823                 (U32)(ip - base), ms->window.dictLimit, ms->nextToUpdate);
  824     assert(optLevel <= 2);
  825     ZSTD_rescaleFreqs(optStatePtr, (const BYTE*)src, srcSize, optLevel);
  826     ip += (ip==prefixStart);
  827 
  828     /* Match Loop */
  829     while (ip < ilimit) {
  830         U32 cur, last_pos = 0;
  831 
  832         /* find first match */
  833         {   U32 const litlen = (U32)(ip - anchor);
  834             U32 const ll0 = !litlen;
  835             U32 const nbMatches = ZSTD_BtGetAllMatches(matches, ms, &nextToUpdate3, ip, iend, dictMode, rep, ll0, minMatch);
  836             if (!nbMatches) { ip++; continue; }
  837 
  838             /* initialize opt[0] */
  839             { U32 i ; for (i=0; i<ZSTD_REP_NUM; i++) opt[0].rep[i] = rep[i]; }
  840             opt[0].mlen = 0;  /* means is_a_literal */
  841             opt[0].litlen = litlen;
  842             /* We don't need to include the actual price of the literals because
  843              * it is static for the duration of the forward pass, and is included
  844              * in every price. We include the literal length to avoid negative
  845              * prices when we subtract the previous literal length.
  846              */
  847             opt[0].price = ZSTD_litLengthPrice(litlen, optStatePtr, optLevel);
  848 
  849             /* large match -> immediate encoding */
  850             {   U32 const maxML = matches[nbMatches-1].len;
  851                 U32 const maxOffset = matches[nbMatches-1].off;
  852                 DEBUGLOG(6, "found %u matches of maxLength=%u and maxOffCode=%u at cPos=%u => start new series",
  853                             nbMatches, maxML, maxOffset, (U32)(ip-prefixStart));
  854 
  855                 if (maxML > sufficient_len) {
  856                     lastSequence.litlen = litlen;
  857                     lastSequence.mlen = maxML;
  858                     lastSequence.off = maxOffset;
  859                     DEBUGLOG(6, "large match (%u>%u), immediate encoding",
  860                                 maxML, sufficient_len);
  861                     cur = 0;
  862                     last_pos = ZSTD_totalLen(lastSequence);
  863                     goto _shortestPath;
  864             }   }
  865 
  866             /* set prices for first matches starting position == 0 */
  867             {   U32 const literalsPrice = opt[0].price + ZSTD_litLengthPrice(0, optStatePtr, optLevel);
  868                 U32 pos;
  869                 U32 matchNb;
  870                 for (pos = 1; pos < minMatch; pos++) {
  871                     opt[pos].price = ZSTD_MAX_PRICE;   /* mlen, litlen and price will be fixed during forward scanning */
  872                 }
  873                 for (matchNb = 0; matchNb < nbMatches; matchNb++) {
  874                     U32 const offset = matches[matchNb].off;
  875                     U32 const end = matches[matchNb].len;
  876                     for ( ; pos <= end ; pos++ ) {
  877                         U32 const matchPrice = ZSTD_getMatchPrice(offset, pos, optStatePtr, optLevel);
  878                         U32 const sequencePrice = literalsPrice + matchPrice;
  879                         DEBUGLOG(7, "rPos:%u => set initial price : %.2f",
  880                                     pos, ZSTD_fCost(sequencePrice));
  881                         opt[pos].mlen = pos;
  882                         opt[pos].off = offset;
  883                         opt[pos].litlen = litlen;
  884                         opt[pos].price = sequencePrice;
  885                 }   }
  886                 last_pos = pos-1;
  887             }
  888         }
  889 
  890         /* check further positions */
  891         for (cur = 1; cur <= last_pos; cur++) {
  892             const BYTE* const inr = ip + cur;
  893             assert(cur < ZSTD_OPT_NUM);
  894             DEBUGLOG(7, "cPos:%zi==rPos:%u", inr-istart, cur)
  895 
  896             /* Fix current position with one literal if cheaper */
  897             {   U32 const litlen = (opt[cur-1].mlen == 0) ? opt[cur-1].litlen + 1 : 1;
  898                 int const price = opt[cur-1].price
  899                                 + ZSTD_rawLiteralsCost(ip+cur-1, 1, optStatePtr, optLevel)
  900                                 + ZSTD_litLengthPrice(litlen, optStatePtr, optLevel)
  901                                 - ZSTD_litLengthPrice(litlen-1, optStatePtr, optLevel);
  902                 assert(price < 1000000000); /* overflow check */
  903                 if (price <= opt[cur].price) {
  904                     DEBUGLOG(7, "cPos:%zi==rPos:%u : better price (%.2f<=%.2f) using literal (ll==%u) (hist:%u,%u,%u)",
  905                                 inr-istart, cur, ZSTD_fCost(price), ZSTD_fCost(opt[cur].price), litlen,
  906                                 opt[cur-1].rep[0], opt[cur-1].rep[1], opt[cur-1].rep[2]);
  907                     opt[cur].mlen = 0;
  908                     opt[cur].off = 0;
  909                     opt[cur].litlen = litlen;
  910                     opt[cur].price = price;
  911                 } else {
  912                     DEBUGLOG(7, "cPos:%zi==rPos:%u : literal would cost more (%.2f>%.2f) (hist:%u,%u,%u)",
  913                                 inr-istart, cur, ZSTD_fCost(price), ZSTD_fCost(opt[cur].price),
  914                                 opt[cur].rep[0], opt[cur].rep[1], opt[cur].rep[2]);
  915                 }
  916             }
  917 
  918             /* Set the repcodes of the current position. We must do it here
  919              * because we rely on the repcodes of the 2nd to last sequence being
  920              * correct to set the next chunks repcodes during the backward
  921              * traversal.
  922              */
  923             ZSTD_STATIC_ASSERT(sizeof(opt[cur].rep) == sizeof(repcodes_t));
  924             assert(cur >= opt[cur].mlen);
  925             if (opt[cur].mlen != 0) {
  926                 U32 const prev = cur - opt[cur].mlen;
  927                 repcodes_t newReps = ZSTD_updateRep(opt[prev].rep, opt[cur].off, opt[cur].litlen==0);
  928                 memcpy(opt[cur].rep, &newReps, sizeof(repcodes_t));
  929             } else {
  930                 memcpy(opt[cur].rep, opt[cur - 1].rep, sizeof(repcodes_t));
  931             }
  932 
  933             /* last match must start at a minimum distance of 8 from oend */
  934             if (inr > ilimit) continue;
  935 
  936             if (cur == last_pos) break;
  937 
  938             if ( (optLevel==0) /*static_test*/
  939               && (opt[cur+1].price <= opt[cur].price + (BITCOST_MULTIPLIER/2)) ) {
  940                 DEBUGLOG(7, "move to next rPos:%u : price is <=", cur+1);
  941                 continue;  /* skip unpromising positions; about ~+6% speed, -0.01 ratio */
  942             }
  943 
  944             {   U32 const ll0 = (opt[cur].mlen != 0);
  945                 U32 const litlen = (opt[cur].mlen == 0) ? opt[cur].litlen : 0;
  946                 U32 const previousPrice = opt[cur].price;
  947                 U32 const basePrice = previousPrice + ZSTD_litLengthPrice(0, optStatePtr, optLevel);
  948                 U32 const nbMatches = ZSTD_BtGetAllMatches(matches, ms, &nextToUpdate3, inr, iend, dictMode, opt[cur].rep, ll0, minMatch);
  949                 U32 matchNb;
  950                 if (!nbMatches) {
  951                     DEBUGLOG(7, "rPos:%u : no match found", cur);
  952                     continue;
  953                 }
  954 
  955                 {   U32 const maxML = matches[nbMatches-1].len;
  956                     DEBUGLOG(7, "cPos:%zi==rPos:%u, found %u matches, of maxLength=%u",
  957                                 inr-istart, cur, nbMatches, maxML);
  958 
  959                     if ( (maxML > sufficient_len)
  960                       || (cur + maxML >= ZSTD_OPT_NUM) ) {
  961                         lastSequence.mlen = maxML;
  962                         lastSequence.off = matches[nbMatches-1].off;
  963                         lastSequence.litlen = litlen;
  964                         cur -= (opt[cur].mlen==0) ? opt[cur].litlen : 0;  /* last sequence is actually only literals, fix cur to last match - note : may underflow, in which case, it's first sequence, and it's okay */
  965                         last_pos = cur + ZSTD_totalLen(lastSequence);
  966                         if (cur > ZSTD_OPT_NUM) cur = 0;   /* underflow => first match */
  967                         goto _shortestPath;
  968                 }   }
  969 
  970                 /* set prices using matches found at position == cur */
  971                 for (matchNb = 0; matchNb < nbMatches; matchNb++) {
  972                     U32 const offset = matches[matchNb].off;
  973                     U32 const lastML = matches[matchNb].len;
  974                     U32 const startML = (matchNb>0) ? matches[matchNb-1].len+1 : minMatch;
  975                     U32 mlen;
  976 
  977                     DEBUGLOG(7, "testing match %u => offCode=%4u, mlen=%2u, llen=%2u",
  978                                 matchNb, matches[matchNb].off, lastML, litlen);
  979 
  980                     for (mlen = lastML; mlen >= startML; mlen--) {  /* scan downward */
  981                         U32 const pos = cur + mlen;
  982                         int const price = basePrice + ZSTD_getMatchPrice(offset, mlen, optStatePtr, optLevel);
  983 
  984                         if ((pos > last_pos) || (price < opt[pos].price)) {
  985                             DEBUGLOG(7, "rPos:%u (ml=%2u) => new better price (%.2f<%.2f)",
  986                                         pos, mlen, ZSTD_fCost(price), ZSTD_fCost(opt[pos].price));
  987                             while (last_pos < pos) { opt[last_pos+1].price = ZSTD_MAX_PRICE; last_pos++; }   /* fill empty positions */
  988                             opt[pos].mlen = mlen;
  989                             opt[pos].off = offset;
  990                             opt[pos].litlen = litlen;
  991                             opt[pos].price = price;
  992                         } else {
  993                             DEBUGLOG(7, "rPos:%u (ml=%2u) => new price is worse (%.2f>=%.2f)",
  994                                         pos, mlen, ZSTD_fCost(price), ZSTD_fCost(opt[pos].price));
  995                             if (optLevel==0) break;  /* early update abort; gets ~+10% speed for about -0.01 ratio loss */
  996                         }
  997             }   }   }
  998         }  /* for (cur = 1; cur <= last_pos; cur++) */
  999 
 1000         lastSequence = opt[last_pos];
 1001         cur = last_pos > ZSTD_totalLen(lastSequence) ? last_pos - ZSTD_totalLen(lastSequence) : 0;  /* single sequence, and it starts before `ip` */
 1002         assert(cur < ZSTD_OPT_NUM);  /* control overflow*/
 1003 
 1004 _shortestPath:   /* cur, last_pos, best_mlen, best_off have to be set */
 1005         assert(opt[0].mlen == 0);
 1006 
 1007         /* Set the next chunk's repcodes based on the repcodes of the beginning
 1008          * of the last match, and the last sequence. This avoids us having to
 1009          * update them while traversing the sequences.
 1010          */
 1011         if (lastSequence.mlen != 0) {
 1012             repcodes_t reps = ZSTD_updateRep(opt[cur].rep, lastSequence.off, lastSequence.litlen==0);
 1013             memcpy(rep, &reps, sizeof(reps));
 1014         } else {
 1015             memcpy(rep, opt[cur].rep, sizeof(repcodes_t));
 1016         }
 1017 
 1018         {   U32 const storeEnd = cur + 1;
 1019             U32 storeStart = storeEnd;
 1020             U32 seqPos = cur;
 1021 
 1022             DEBUGLOG(6, "start reverse traversal (last_pos:%u, cur:%u)",
 1023                         last_pos, cur); (void)last_pos;
 1024             assert(storeEnd < ZSTD_OPT_NUM);
 1025             DEBUGLOG(6, "last sequence copied into pos=%u (llen=%u,mlen=%u,ofc=%u)",
 1026                         storeEnd, lastSequence.litlen, lastSequence.mlen, lastSequence.off);
 1027             opt[storeEnd] = lastSequence;
 1028             while (seqPos > 0) {
 1029                 U32 const backDist = ZSTD_totalLen(opt[seqPos]);
 1030                 storeStart--;
 1031                 DEBUGLOG(6, "sequence from rPos=%u copied into pos=%u (llen=%u,mlen=%u,ofc=%u)",
 1032                             seqPos, storeStart, opt[seqPos].litlen, opt[seqPos].mlen, opt[seqPos].off);
 1033                 opt[storeStart] = opt[seqPos];
 1034                 seqPos = (seqPos > backDist) ? seqPos - backDist : 0;
 1035             }
 1036 
 1037             /* save sequences */
 1038             DEBUGLOG(6, "sending selected sequences into seqStore")
 1039             {   U32 storePos;
 1040                 for (storePos=storeStart; storePos <= storeEnd; storePos++) {
 1041                     U32 const llen = opt[storePos].litlen;
 1042                     U32 const mlen = opt[storePos].mlen;
 1043                     U32 const offCode = opt[storePos].off;
 1044                     U32 const advance = llen + mlen;
 1045                     DEBUGLOG(6, "considering seq starting at %zi, llen=%u, mlen=%u",
 1046                                 anchor - istart, (unsigned)llen, (unsigned)mlen);
 1047 
 1048                     if (mlen==0) {  /* only literals => must be last "sequence", actually starting a new stream of sequences */
 1049                         assert(storePos == storeEnd);   /* must be last sequence */
 1050                         ip = anchor + llen;     /* last "sequence" is a bunch of literals => don't progress anchor */
 1051                         continue;   /* will finish */
 1052                     }
 1053 
 1054                     assert(anchor + llen <= iend);
 1055                     ZSTD_updateStats(optStatePtr, llen, anchor, offCode, mlen);
 1056                     ZSTD_storeSeq(seqStore, llen, anchor, iend, offCode, mlen-MINMATCH);
 1057                     anchor += advance;
 1058                     ip = anchor;
 1059             }   }
 1060             ZSTD_setBasePrices(optStatePtr, optLevel);
 1061         }
 1062     }   /* while (ip < ilimit) */
 1063 
 1064     /* Return the last literals size */
 1065     return (size_t)(iend - anchor);
 1066 }
 1067 
 1068 
 1069 size_t ZSTD_compressBlock_btopt(
 1070         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1071         const void* src, size_t srcSize)
 1072 {
 1073     DEBUGLOG(5, "ZSTD_compressBlock_btopt");
 1074     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 0 /*optLevel*/, ZSTD_noDict);
 1075 }
 1076 
 1077 
 1078 /* used in 2-pass strategy */
 1079 static U32 ZSTD_upscaleStat(unsigned* table, U32 lastEltIndex, int bonus)
 1080 {
 1081     U32 s, sum=0;
 1082     assert(ZSTD_FREQ_DIV+bonus >= 0);
 1083     for (s=0; s<lastEltIndex+1; s++) {
 1084         table[s] <<= ZSTD_FREQ_DIV+bonus;
 1085         table[s]--;
 1086         sum += table[s];
 1087     }
 1088     return sum;
 1089 }
 1090 
 1091 /* used in 2-pass strategy */
 1092 MEM_STATIC void ZSTD_upscaleStats(optState_t* optPtr)
 1093 {
 1094     if (ZSTD_compressedLiterals(optPtr))
 1095         optPtr->litSum = ZSTD_upscaleStat(optPtr->litFreq, MaxLit, 0);
 1096     optPtr->litLengthSum = ZSTD_upscaleStat(optPtr->litLengthFreq, MaxLL, 0);
 1097     optPtr->matchLengthSum = ZSTD_upscaleStat(optPtr->matchLengthFreq, MaxML, 0);
 1098     optPtr->offCodeSum = ZSTD_upscaleStat(optPtr->offCodeFreq, MaxOff, 0);
 1099 }
 1100 
 1101 /* ZSTD_initStats_ultra():
 1102  * make a first compression pass, just to seed stats with more accurate starting values.
 1103  * only works on first block, with no dictionary and no ldm.
 1104  * this function cannot error, hence its contract must be respected.
 1105  */
 1106 static void
 1107 ZSTD_initStats_ultra(ZSTD_matchState_t* ms,
 1108                      seqStore_t* seqStore,
 1109                      U32 rep[ZSTD_REP_NUM],
 1110                const void* src, size_t srcSize)
 1111 {
 1112     U32 tmpRep[ZSTD_REP_NUM];  /* updated rep codes will sink here */
 1113     memcpy(tmpRep, rep, sizeof(tmpRep));
 1114 
 1115     DEBUGLOG(4, "ZSTD_initStats_ultra (srcSize=%zu)", srcSize);
 1116     assert(ms->opt.litLengthSum == 0);    /* first block */
 1117     assert(seqStore->sequences == seqStore->sequencesStart);   /* no ldm */
 1118     assert(ms->window.dictLimit == ms->window.lowLimit);   /* no dictionary */
 1119     assert(ms->window.dictLimit - ms->nextToUpdate <= 1);  /* no prefix (note: intentional overflow, defined as 2-complement) */
 1120 
 1121     ZSTD_compressBlock_opt_generic(ms, seqStore, tmpRep, src, srcSize, 2 /*optLevel*/, ZSTD_noDict);   /* generate stats into ms->opt*/
 1122 
 1123     /* invalidate first scan from history */
 1124     ZSTD_resetSeqStore(seqStore);
 1125     ms->window.base -= srcSize;
 1126     ms->window.dictLimit += (U32)srcSize;
 1127     ms->window.lowLimit = ms->window.dictLimit;
 1128     ms->nextToUpdate = ms->window.dictLimit;
 1129 
 1130     /* re-inforce weight of collected statistics */
 1131     ZSTD_upscaleStats(&ms->opt);
 1132 }
 1133 
 1134 size_t ZSTD_compressBlock_btultra(
 1135         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1136         const void* src, size_t srcSize)
 1137 {
 1138     DEBUGLOG(5, "ZSTD_compressBlock_btultra (srcSize=%zu)", srcSize);
 1139     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 2 /*optLevel*/, ZSTD_noDict);
 1140 }
 1141 
 1142 size_t ZSTD_compressBlock_btultra2(
 1143         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1144         const void* src, size_t srcSize)
 1145 {
 1146     U32 const current = (U32)((const BYTE*)src - ms->window.base);
 1147     DEBUGLOG(5, "ZSTD_compressBlock_btultra2 (srcSize=%zu)", srcSize);
 1148 
 1149     /* 2-pass strategy:
 1150      * this strategy makes a first pass over first block to collect statistics
 1151      * and seed next round's statistics with it.
 1152      * After 1st pass, function forgets everything, and starts a new block.
 1153      * Consequently, this can only work if no data has been previously loaded in tables,
 1154      * aka, no dictionary, no prefix, no ldm preprocessing.
 1155      * The compression ratio gain is generally small (~0.5% on first block),
 1156      * the cost is 2x cpu time on first block. */
 1157     assert(srcSize <= ZSTD_BLOCKSIZE_MAX);
 1158     if ( (ms->opt.litLengthSum==0)   /* first block */
 1159       && (seqStore->sequences == seqStore->sequencesStart)  /* no ldm */
 1160       && (ms->window.dictLimit == ms->window.lowLimit)   /* no dictionary */
 1161       && (current == ms->window.dictLimit)   /* start of frame, nothing already loaded nor skipped */
 1162       && (srcSize > ZSTD_PREDEF_THRESHOLD)
 1163       ) {
 1164         ZSTD_initStats_ultra(ms, seqStore, rep, src, srcSize);
 1165     }
 1166 
 1167     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 2 /*optLevel*/, ZSTD_noDict);
 1168 }
 1169 
 1170 size_t ZSTD_compressBlock_btopt_dictMatchState(
 1171         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1172         const void* src, size_t srcSize)
 1173 {
 1174     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 0 /*optLevel*/, ZSTD_dictMatchState);
 1175 }
 1176 
 1177 size_t ZSTD_compressBlock_btultra_dictMatchState(
 1178         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1179         const void* src, size_t srcSize)
 1180 {
 1181     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 2 /*optLevel*/, ZSTD_dictMatchState);
 1182 }
 1183 
 1184 size_t ZSTD_compressBlock_btopt_extDict(
 1185         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1186         const void* src, size_t srcSize)
 1187 {
 1188     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 0 /*optLevel*/, ZSTD_extDict);
 1189 }
 1190 
 1191 size_t ZSTD_compressBlock_btultra_extDict(
 1192         ZSTD_matchState_t* ms, seqStore_t* seqStore, U32 rep[ZSTD_REP_NUM],
 1193         const void* src, size_t srcSize)
 1194 {
 1195     return ZSTD_compressBlock_opt_generic(ms, seqStore, rep, src, srcSize, 2 /*optLevel*/, ZSTD_extDict);
 1196 }
 1197 
 1198 /* note : no btultra2 variant for extDict nor dictMatchState,
 1199  * because btultra2 is not meant to work with dictionaries
 1200  * and is only specific for the first block (no prefix) */

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