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huf_compress.c

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linux-6.19.14/lib/zstd/compress/huf_compress.c C
   1// SPDX-License-Identifier: GPL-2.0+ OR BSD-3-Clause
   2/* ******************************************************************
   3 * Huffman encoder, part of New Generation Entropy library
   4 * Copyright (c) Meta Platforms, Inc. and affiliates.
   5 *
   6 *  You can contact the author at :
   7 *  - FSE+HUF source repository : https://github.com/Cyan4973/FiniteStateEntropy
   8 *  - Public forum : https://groups.google.com/forum/#!forum/lz4c
   9 *
  10 * This source code is licensed under both the BSD-style license (found in the
  11 * LICENSE file in the root directory of this source tree) and the GPLv2 (found
  12 * in the COPYING file in the root directory of this source tree).
  13 * You may select, at your option, one of the above-listed licenses.
  14****************************************************************** */
  15
  16/* **************************************************************
  17*  Compiler specifics
  18****************************************************************/
  19
  20
  21/* **************************************************************
  22*  Includes
  23****************************************************************/
  24#include "../common/zstd_deps.h"     /* ZSTD_memcpy, ZSTD_memset */
  25#include "../common/compiler.h"
  26#include "../common/bitstream.h"
  27#include "hist.h"
  28#define FSE_STATIC_LINKING_ONLY   /* FSE_optimalTableLog_internal */
  29#include "../common/fse.h"        /* header compression */
  30#include "../common/huf.h"
  31#include "../common/error_private.h"
  32#include "../common/bits.h"       /* ZSTD_highbit32 */
  33
  34
  35/* **************************************************************
  36*  Error Management
  37****************************************************************/
  38#define HUF_isError ERR_isError
  39#define HUF_STATIC_ASSERT(c) DEBUG_STATIC_ASSERT(c)   /* use only *after* variable declarations */
  40
  41
  42/* **************************************************************
  43*  Required declarations
  44****************************************************************/
  45typedef struct nodeElt_s {
  46    U32 count;
  47    U16 parent;
  48    BYTE byte;
  49    BYTE nbBits;
  50} nodeElt;
  51
  52
  53/* **************************************************************
  54*  Debug Traces
  55****************************************************************/
  56
  57#if DEBUGLEVEL >= 2
  58
  59static size_t showU32(const U32* arr, size_t size)
  60{
  61    size_t u;
  62    for (u=0; u<size; u++) {
  63        RAWLOG(6, " %u", arr[u]); (void)arr;
  64    }
  65    RAWLOG(6, " \n");
  66    return size;
  67}
  68
  69static size_t HUF_getNbBits(HUF_CElt elt);
  70
  71static size_t showCTableBits(const HUF_CElt* ctable, size_t size)
  72{
  73    size_t u;
  74    for (u=0; u<size; u++) {
  75        RAWLOG(6, " %zu", HUF_getNbBits(ctable[u])); (void)ctable;
  76    }
  77    RAWLOG(6, " \n");
  78    return size;
  79
  80}
  81
  82static size_t showHNodeSymbols(const nodeElt* hnode, size_t size)
  83{
  84    size_t u;
  85    for (u=0; u<size; u++) {
  86        RAWLOG(6, " %u", hnode[u].byte); (void)hnode;
  87    }
  88    RAWLOG(6, " \n");
  89    return size;
  90}
  91
  92static size_t showHNodeBits(const nodeElt* hnode, size_t size)
  93{
  94    size_t u;
  95    for (u=0; u<size; u++) {
  96        RAWLOG(6, " %u", hnode[u].nbBits); (void)hnode;
  97    }
  98    RAWLOG(6, " \n");
  99    return size;
 100}
 101
 102#endif
 103
 104
 105/* *******************************************************
 106*  HUF : Huffman block compression
 107*********************************************************/
 108#define HUF_WORKSPACE_MAX_ALIGNMENT 8
 109
 110static void* HUF_alignUpWorkspace(void* workspace, size_t* workspaceSizePtr, size_t align)
 111{
 112    size_t const mask = align - 1;
 113    size_t const rem = (size_t)workspace & mask;
 114    size_t const add = (align - rem) & mask;
 115    BYTE* const aligned = (BYTE*)workspace + add;
 116    assert((align & (align - 1)) == 0); /* pow 2 */
 117    assert(align <= HUF_WORKSPACE_MAX_ALIGNMENT);
 118    if (*workspaceSizePtr >= add) {
 119        assert(add < align);
 120        assert(((size_t)aligned & mask) == 0);
 121        *workspaceSizePtr -= add;
 122        return aligned;
 123    } else {
 124        *workspaceSizePtr = 0;
 125        return NULL;
 126    }
 127}
 128
 129
 130/* HUF_compressWeights() :
 131 * Same as FSE_compress(), but dedicated to huff0's weights compression.
 132 * The use case needs much less stack memory.
 133 * Note : all elements within weightTable are supposed to be <= HUF_TABLELOG_MAX.
 134 */
 135#define MAX_FSE_TABLELOG_FOR_HUFF_HEADER 6
 136
 137typedef struct {
 138    FSE_CTable CTable[FSE_CTABLE_SIZE_U32(MAX_FSE_TABLELOG_FOR_HUFF_HEADER, HUF_TABLELOG_MAX)];
 139    U32 scratchBuffer[FSE_BUILD_CTABLE_WORKSPACE_SIZE_U32(HUF_TABLELOG_MAX, MAX_FSE_TABLELOG_FOR_HUFF_HEADER)];
 140    unsigned count[HUF_TABLELOG_MAX+1];
 141    S16 norm[HUF_TABLELOG_MAX+1];
 142} HUF_CompressWeightsWksp;
 143
 144static size_t
 145HUF_compressWeights(void* dst, size_t dstSize,
 146              const void* weightTable, size_t wtSize,
 147                    void* workspace, size_t workspaceSize)
 148{
 149    BYTE* const ostart = (BYTE*) dst;
 150    BYTE* op = ostart;
 151    BYTE* const oend = ostart + dstSize;
 152
 153    unsigned maxSymbolValue = HUF_TABLELOG_MAX;
 154    U32 tableLog = MAX_FSE_TABLELOG_FOR_HUFF_HEADER;
 155    HUF_CompressWeightsWksp* wksp = (HUF_CompressWeightsWksp*)HUF_alignUpWorkspace(workspace, &workspaceSize, ZSTD_ALIGNOF(U32));
 156
 157    if (workspaceSize < sizeof(HUF_CompressWeightsWksp)) return ERROR(GENERIC);
 158
 159    /* init conditions */
 160    if (wtSize <= 1) return 0;  /* Not compressible */
 161
 162    /* Scan input and build symbol stats */
 163    {   unsigned const maxCount = HIST_count_simple(wksp->count, &maxSymbolValue, weightTable, wtSize);   /* never fails */
 164        if (maxCount == wtSize) return 1;   /* only a single symbol in src : rle */
 165        if (maxCount == 1) return 0;        /* each symbol present maximum once => not compressible */
 166    }
 167
 168    tableLog = FSE_optimalTableLog(tableLog, wtSize, maxSymbolValue);
 169    CHECK_F( FSE_normalizeCount(wksp->norm, tableLog, wksp->count, wtSize, maxSymbolValue, /* useLowProbCount */ 0) );
 170
 171    /* Write table description header */
 172    {   CHECK_V_F(hSize, FSE_writeNCount(op, (size_t)(oend-op), wksp->norm, maxSymbolValue, tableLog) );
 173        op += hSize;
 174    }
 175
 176    /* Compress */
 177    CHECK_F( FSE_buildCTable_wksp(wksp->CTable, wksp->norm, maxSymbolValue, tableLog, wksp->scratchBuffer, sizeof(wksp->scratchBuffer)) );
 178    {   CHECK_V_F(cSize, FSE_compress_usingCTable(op, (size_t)(oend - op), weightTable, wtSize, wksp->CTable) );
 179        if (cSize == 0) return 0;   /* not enough space for compressed data */
 180        op += cSize;
 181    }
 182
 183    return (size_t)(op-ostart);
 184}
 185
 186static size_t HUF_getNbBits(HUF_CElt elt)
 187{
 188    return elt & 0xFF;
 189}
 190
 191static size_t HUF_getNbBitsFast(HUF_CElt elt)
 192{
 193    return elt;
 194}
 195
 196static size_t HUF_getValue(HUF_CElt elt)
 197{
 198    return elt & ~(size_t)0xFF;
 199}
 200
 201static size_t HUF_getValueFast(HUF_CElt elt)
 202{
 203    return elt;
 204}
 205
 206static void HUF_setNbBits(HUF_CElt* elt, size_t nbBits)
 207{
 208    assert(nbBits <= HUF_TABLELOG_ABSOLUTEMAX);
 209    *elt = nbBits;
 210}
 211
 212static void HUF_setValue(HUF_CElt* elt, size_t value)
 213{
 214    size_t const nbBits = HUF_getNbBits(*elt);
 215    if (nbBits > 0) {
 216        assert((value >> nbBits) == 0);
 217        *elt |= value << (sizeof(HUF_CElt) * 8 - nbBits);
 218    }
 219}
 220
 221HUF_CTableHeader HUF_readCTableHeader(HUF_CElt const* ctable)
 222{
 223    HUF_CTableHeader header;
 224    ZSTD_memcpy(&header, ctable, sizeof(header));
 225    return header;
 226}
 227
 228static void HUF_writeCTableHeader(HUF_CElt* ctable, U32 tableLog, U32 maxSymbolValue)
 229{
 230    HUF_CTableHeader header;
 231    HUF_STATIC_ASSERT(sizeof(ctable[0]) == sizeof(header));
 232    ZSTD_memset(&header, 0, sizeof(header));
 233    assert(tableLog < 256);
 234    header.tableLog = (BYTE)tableLog;
 235    assert(maxSymbolValue < 256);
 236    header.maxSymbolValue = (BYTE)maxSymbolValue;
 237    ZSTD_memcpy(ctable, &header, sizeof(header));
 238}
 239
 240typedef struct {
 241    HUF_CompressWeightsWksp wksp;
 242    BYTE bitsToWeight[HUF_TABLELOG_MAX + 1];   /* precomputed conversion table */
 243    BYTE huffWeight[HUF_SYMBOLVALUE_MAX];
 244} HUF_WriteCTableWksp;
 245
 246size_t HUF_writeCTable_wksp(void* dst, size_t maxDstSize,
 247                            const HUF_CElt* CTable, unsigned maxSymbolValue, unsigned huffLog,
 248                            void* workspace, size_t workspaceSize)
 249{
 250    HUF_CElt const* const ct = CTable + 1;
 251    BYTE* op = (BYTE*)dst;
 252    U32 n;
 253    HUF_WriteCTableWksp* wksp = (HUF_WriteCTableWksp*)HUF_alignUpWorkspace(workspace, &workspaceSize, ZSTD_ALIGNOF(U32));
 254
 255    HUF_STATIC_ASSERT(HUF_CTABLE_WORKSPACE_SIZE >= sizeof(HUF_WriteCTableWksp));
 256
 257    assert(HUF_readCTableHeader(CTable).maxSymbolValue == maxSymbolValue);
 258    assert(HUF_readCTableHeader(CTable).tableLog == huffLog);
 259
 260    /* check conditions */
 261    if (workspaceSize < sizeof(HUF_WriteCTableWksp)) return ERROR(GENERIC);
 262    if (maxSymbolValue > HUF_SYMBOLVALUE_MAX) return ERROR(maxSymbolValue_tooLarge);
 263
 264    /* convert to weight */
 265    wksp->bitsToWeight[0] = 0;
 266    for (n=1; n<huffLog+1; n++)
 267        wksp->bitsToWeight[n] = (BYTE)(huffLog + 1 - n);
 268    for (n=0; n<maxSymbolValue; n++)
 269        wksp->huffWeight[n] = wksp->bitsToWeight[HUF_getNbBits(ct[n])];
 270
 271    /* attempt weights compression by FSE */
 272    if (maxDstSize < 1) return ERROR(dstSize_tooSmall);
 273    {   CHECK_V_F(hSize, HUF_compressWeights(op+1, maxDstSize-1, wksp->huffWeight, maxSymbolValue, &wksp->wksp, sizeof(wksp->wksp)) );
 274        if ((hSize>1) & (hSize < maxSymbolValue/2)) {   /* FSE compressed */
 275            op[0] = (BYTE)hSize;
 276            return hSize+1;
 277    }   }
 278
 279    /* write raw values as 4-bits (max : 15) */
 280    if (maxSymbolValue > (256-128)) return ERROR(GENERIC);   /* should not happen : likely means source cannot be compressed */
 281    if (((maxSymbolValue+1)/2) + 1 > maxDstSize) return ERROR(dstSize_tooSmall);   /* not enough space within dst buffer */
 282    op[0] = (BYTE)(128 /*special case*/ + (maxSymbolValue-1));
 283    wksp->huffWeight[maxSymbolValue] = 0;   /* to be sure it doesn't cause msan issue in final combination */
 284    for (n=0; n<maxSymbolValue; n+=2)
 285        op[(n/2)+1] = (BYTE)((wksp->huffWeight[n] << 4) + wksp->huffWeight[n+1]);
 286    return ((maxSymbolValue+1)/2) + 1;
 287}
 288
 289
 290size_t HUF_readCTable (HUF_CElt* CTable, unsigned* maxSymbolValuePtr, const void* src, size_t srcSize, unsigned* hasZeroWeights)
 291{
 292    BYTE huffWeight[HUF_SYMBOLVALUE_MAX + 1];   /* init not required, even though some static analyzer may complain */
 293    U32 rankVal[HUF_TABLELOG_ABSOLUTEMAX + 1];   /* large enough for values from 0 to 16 */
 294    U32 tableLog = 0;
 295    U32 nbSymbols = 0;
 296    HUF_CElt* const ct = CTable + 1;
 297
 298    /* get symbol weights */
 299    CHECK_V_F(readSize, HUF_readStats(huffWeight, HUF_SYMBOLVALUE_MAX+1, rankVal, &nbSymbols, &tableLog, src, srcSize));
 300    *hasZeroWeights = (rankVal[0] > 0);
 301
 302    /* check result */
 303    if (tableLog > HUF_TABLELOG_MAX) return ERROR(tableLog_tooLarge);
 304    if (nbSymbols > *maxSymbolValuePtr+1) return ERROR(maxSymbolValue_tooSmall);
 305
 306    *maxSymbolValuePtr = nbSymbols - 1;
 307
 308    HUF_writeCTableHeader(CTable, tableLog, *maxSymbolValuePtr);
 309
 310    /* Prepare base value per rank */
 311    {   U32 n, nextRankStart = 0;
 312        for (n=1; n<=tableLog; n++) {
 313            U32 curr = nextRankStart;
 314            nextRankStart += (rankVal[n] << (n-1));
 315            rankVal[n] = curr;
 316    }   }
 317
 318    /* fill nbBits */
 319    {   U32 n; for (n=0; n<nbSymbols; n++) {
 320            const U32 w = huffWeight[n];
 321            HUF_setNbBits(ct + n, (BYTE)(tableLog + 1 - w) & -(w != 0));
 322    }   }
 323
 324    /* fill val */
 325    {   U16 nbPerRank[HUF_TABLELOG_MAX+2]  = {0};  /* support w=0=>n=tableLog+1 */
 326        U16 valPerRank[HUF_TABLELOG_MAX+2] = {0};
 327        { U32 n; for (n=0; n<nbSymbols; n++) nbPerRank[HUF_getNbBits(ct[n])]++; }
 328        /* determine stating value per rank */
 329        valPerRank[tableLog+1] = 0;   /* for w==0 */
 330        {   U16 min = 0;
 331            U32 n; for (n=tableLog; n>0; n--) {  /* start at n=tablelog <-> w=1 */
 332                valPerRank[n] = min;     /* get starting value within each rank */
 333                min += nbPerRank[n];
 334                min >>= 1;
 335        }   }
 336        /* assign value within rank, symbol order */
 337        { U32 n; for (n=0; n<nbSymbols; n++) HUF_setValue(ct + n, valPerRank[HUF_getNbBits(ct[n])]++); }
 338    }
 339
 340    return readSize;
 341}
 342
 343U32 HUF_getNbBitsFromCTable(HUF_CElt const* CTable, U32 symbolValue)
 344{
 345    const HUF_CElt* const ct = CTable + 1;
 346    assert(symbolValue <= HUF_SYMBOLVALUE_MAX);
 347    if (symbolValue > HUF_readCTableHeader(CTable).maxSymbolValue)
 348        return 0;
 349    return (U32)HUF_getNbBits(ct[symbolValue]);
 350}
 351
 352
 353/*
 354 * HUF_setMaxHeight():
 355 * Try to enforce @targetNbBits on the Huffman tree described in @huffNode.
 356 *
 357 * It attempts to convert all nodes with nbBits > @targetNbBits
 358 * to employ @targetNbBits instead. Then it adjusts the tree
 359 * so that it remains a valid canonical Huffman tree.
 360 *
 361 * @pre               The sum of the ranks of each symbol == 2^largestBits,
 362 *                    where largestBits == huffNode[lastNonNull].nbBits.
 363 * @post              The sum of the ranks of each symbol == 2^largestBits,
 364 *                    where largestBits is the return value (expected <= targetNbBits).
 365 *
 366 * @param huffNode    The Huffman tree modified in place to enforce targetNbBits.
 367 *                    It's presumed sorted, from most frequent to rarest symbol.
 368 * @param lastNonNull The symbol with the lowest count in the Huffman tree.
 369 * @param targetNbBits  The allowed number of bits, which the Huffman tree
 370 *                    may not respect. After this function the Huffman tree will
 371 *                    respect targetNbBits.
 372 * @return            The maximum number of bits of the Huffman tree after adjustment.
 373 */
 374static U32 HUF_setMaxHeight(nodeElt* huffNode, U32 lastNonNull, U32 targetNbBits)
 375{
 376    const U32 largestBits = huffNode[lastNonNull].nbBits;
 377    /* early exit : no elt > targetNbBits, so the tree is already valid. */
 378    if (largestBits <= targetNbBits) return largestBits;
 379
 380    DEBUGLOG(5, "HUF_setMaxHeight (targetNbBits = %u)", targetNbBits);
 381
 382    /* there are several too large elements (at least >= 2) */
 383    {   int totalCost = 0;
 384        const U32 baseCost = 1 << (largestBits - targetNbBits);
 385        int n = (int)lastNonNull;
 386
 387        /* Adjust any ranks > targetNbBits to targetNbBits.
 388         * Compute totalCost, which is how far the sum of the ranks is
 389         * we are over 2^largestBits after adjust the offending ranks.
 390         */
 391        while (huffNode[n].nbBits > targetNbBits) {
 392            totalCost += baseCost - (1 << (largestBits - huffNode[n].nbBits));
 393            huffNode[n].nbBits = (BYTE)targetNbBits;
 394            n--;
 395        }
 396        /* n stops at huffNode[n].nbBits <= targetNbBits */
 397        assert(huffNode[n].nbBits <= targetNbBits);
 398        /* n end at index of smallest symbol using < targetNbBits */
 399        while (huffNode[n].nbBits == targetNbBits) --n;
 400
 401        /* renorm totalCost from 2^largestBits to 2^targetNbBits
 402         * note : totalCost is necessarily a multiple of baseCost */
 403        assert(((U32)totalCost & (baseCost - 1)) == 0);
 404        totalCost >>= (largestBits - targetNbBits);
 405        assert(totalCost > 0);
 406
 407        /* repay normalized cost */
 408        {   U32 const noSymbol = 0xF0F0F0F0;
 409            U32 rankLast[HUF_TABLELOG_MAX+2];
 410
 411            /* Get pos of last (smallest = lowest cum. count) symbol per rank */
 412            ZSTD_memset(rankLast, 0xF0, sizeof(rankLast));
 413            {   U32 currentNbBits = targetNbBits;
 414                int pos;
 415                for (pos=n ; pos >= 0; pos--) {
 416                    if (huffNode[pos].nbBits >= currentNbBits) continue;
 417                    currentNbBits = huffNode[pos].nbBits;   /* < targetNbBits */
 418                    rankLast[targetNbBits-currentNbBits] = (U32)pos;
 419            }   }
 420
 421            while (totalCost > 0) {
 422                /* Try to reduce the next power of 2 above totalCost because we
 423                 * gain back half the rank.
 424                 */
 425                U32 nBitsToDecrease = ZSTD_highbit32((U32)totalCost) + 1;
 426                for ( ; nBitsToDecrease > 1; nBitsToDecrease--) {
 427                    U32 const highPos = rankLast[nBitsToDecrease];
 428                    U32 const lowPos = rankLast[nBitsToDecrease-1];
 429                    if (highPos == noSymbol) continue;
 430                    /* Decrease highPos if no symbols of lowPos or if it is
 431                     * not cheaper to remove 2 lowPos than highPos.
 432                     */
 433                    if (lowPos == noSymbol) break;
 434                    {   U32 const highTotal = huffNode[highPos].count;
 435                        U32 const lowTotal = 2 * huffNode[lowPos].count;
 436                        if (highTotal <= lowTotal) break;
 437                }   }
 438                /* only triggered when no more rank 1 symbol left => find closest one (note : there is necessarily at least one !) */
 439                assert(rankLast[nBitsToDecrease] != noSymbol || nBitsToDecrease == 1);
 440                /* HUF_MAX_TABLELOG test just to please gcc 5+; but it should not be necessary */
 441                while ((nBitsToDecrease<=HUF_TABLELOG_MAX) && (rankLast[nBitsToDecrease] == noSymbol))
 442                    nBitsToDecrease++;
 443                assert(rankLast[nBitsToDecrease] != noSymbol);
 444                /* Increase the number of bits to gain back half the rank cost. */
 445                totalCost -= 1 << (nBitsToDecrease-1);
 446                huffNode[rankLast[nBitsToDecrease]].nbBits++;
 447
 448                /* Fix up the new rank.
 449                 * If the new rank was empty, this symbol is now its smallest.
 450                 * Otherwise, this symbol will be the largest in the new rank so no adjustment.
 451                 */
 452                if (rankLast[nBitsToDecrease-1] == noSymbol)
 453                    rankLast[nBitsToDecrease-1] = rankLast[nBitsToDecrease];
 454                /* Fix up the old rank.
 455                 * If the symbol was at position 0, meaning it was the highest weight symbol in the tree,
 456                 * it must be the only symbol in its rank, so the old rank now has no symbols.
 457                 * Otherwise, since the Huffman nodes are sorted by count, the previous position is now
 458                 * the smallest node in the rank. If the previous position belongs to a different rank,
 459                 * then the rank is now empty.
 460                 */
 461                if (rankLast[nBitsToDecrease] == 0)    /* special case, reached largest symbol */
 462                    rankLast[nBitsToDecrease] = noSymbol;
 463                else {
 464                    rankLast[nBitsToDecrease]--;
 465                    if (huffNode[rankLast[nBitsToDecrease]].nbBits != targetNbBits-nBitsToDecrease)
 466                        rankLast[nBitsToDecrease] = noSymbol;   /* this rank is now empty */
 467                }
 468            }   /* while (totalCost > 0) */
 469
 470            /* If we've removed too much weight, then we have to add it back.
 471             * To avoid overshooting again, we only adjust the smallest rank.
 472             * We take the largest nodes from the lowest rank 0 and move them
 473             * to rank 1. There's guaranteed to be enough rank 0 symbols because
 474             * TODO.
 475             */
 476            while (totalCost < 0) {  /* Sometimes, cost correction overshoot */
 477                /* special case : no rank 1 symbol (using targetNbBits-1);
 478                 * let's create one from largest rank 0 (using targetNbBits).
 479                 */
 480                if (rankLast[1] == noSymbol) {
 481                    while (huffNode[n].nbBits == targetNbBits) n--;
 482                    huffNode[n+1].nbBits--;
 483                    assert(n >= 0);
 484                    rankLast[1] = (U32)(n+1);
 485                    totalCost++;
 486                    continue;
 487                }
 488                huffNode[ rankLast[1] + 1 ].nbBits--;
 489                rankLast[1]++;
 490                totalCost ++;
 491            }
 492        }   /* repay normalized cost */
 493    }   /* there are several too large elements (at least >= 2) */
 494
 495    return targetNbBits;
 496}
 497
 498typedef struct {
 499    U16 base;
 500    U16 curr;
 501} rankPos;
 502
 503typedef nodeElt huffNodeTable[2 * (HUF_SYMBOLVALUE_MAX + 1)];
 504
 505/* Number of buckets available for HUF_sort() */
 506#define RANK_POSITION_TABLE_SIZE 192
 507
 508typedef struct {
 509  huffNodeTable huffNodeTbl;
 510  rankPos rankPosition[RANK_POSITION_TABLE_SIZE];
 511} HUF_buildCTable_wksp_tables;
 512
 513/* RANK_POSITION_DISTINCT_COUNT_CUTOFF == Cutoff point in HUF_sort() buckets for which we use log2 bucketing.
 514 * Strategy is to use as many buckets as possible for representing distinct
 515 * counts while using the remainder to represent all "large" counts.
 516 *
 517 * To satisfy this requirement for 192 buckets, we can do the following:
 518 * Let buckets 0-166 represent distinct counts of [0, 166]
 519 * Let buckets 166 to 192 represent all remaining counts up to RANK_POSITION_MAX_COUNT_LOG using log2 bucketing.
 520 */
 521#define RANK_POSITION_MAX_COUNT_LOG 32
 522#define RANK_POSITION_LOG_BUCKETS_BEGIN ((RANK_POSITION_TABLE_SIZE - 1) - RANK_POSITION_MAX_COUNT_LOG - 1 /* == 158 */)
 523#define RANK_POSITION_DISTINCT_COUNT_CUTOFF (RANK_POSITION_LOG_BUCKETS_BEGIN + ZSTD_highbit32(RANK_POSITION_LOG_BUCKETS_BEGIN) /* == 166 */)
 524
 525/* Return the appropriate bucket index for a given count. See definition of
 526 * RANK_POSITION_DISTINCT_COUNT_CUTOFF for explanation of bucketing strategy.
 527 */
 528static U32 HUF_getIndex(U32 const count) {
 529    return (count < RANK_POSITION_DISTINCT_COUNT_CUTOFF)
 530        ? count
 531        : ZSTD_highbit32(count) + RANK_POSITION_LOG_BUCKETS_BEGIN;
 532}
 533
 534/* Helper swap function for HUF_quickSortPartition() */
 535static void HUF_swapNodes(nodeElt* a, nodeElt* b) {
 536	nodeElt tmp = *a;
 537	*a = *b;
 538	*b = tmp;
 539}
 540
 541/* Returns 0 if the huffNode array is not sorted by descending count */
 542MEM_STATIC int HUF_isSorted(nodeElt huffNode[], U32 const maxSymbolValue1) {
 543    U32 i;
 544    for (i = 1; i < maxSymbolValue1; ++i) {
 545        if (huffNode[i].count > huffNode[i-1].count) {
 546            return 0;
 547        }
 548    }
 549    return 1;
 550}
 551
 552/* Insertion sort by descending order */
 553HINT_INLINE void HUF_insertionSort(nodeElt huffNode[], int const low, int const high) {
 554    int i;
 555    int const size = high-low+1;
 556    huffNode += low;
 557    for (i = 1; i < size; ++i) {
 558        nodeElt const key = huffNode[i];
 559        int j = i - 1;
 560        while (j >= 0 && huffNode[j].count < key.count) {
 561            huffNode[j + 1] = huffNode[j];
 562            j--;
 563        }
 564        huffNode[j + 1] = key;
 565    }
 566}
 567
 568/* Pivot helper function for quicksort. */
 569static int HUF_quickSortPartition(nodeElt arr[], int const low, int const high) {
 570    /* Simply select rightmost element as pivot. "Better" selectors like
 571     * median-of-three don't experimentally appear to have any benefit.
 572     */
 573    U32 const pivot = arr[high].count;
 574    int i = low - 1;
 575    int j = low;
 576    for ( ; j < high; j++) {
 577        if (arr[j].count > pivot) {
 578            i++;
 579            HUF_swapNodes(&arr[i], &arr[j]);
 580        }
 581    }
 582    HUF_swapNodes(&arr[i + 1], &arr[high]);
 583    return i + 1;
 584}
 585
 586/* Classic quicksort by descending with partially iterative calls
 587 * to reduce worst case callstack size.
 588 */
 589static void HUF_simpleQuickSort(nodeElt arr[], int low, int high) {
 590    int const kInsertionSortThreshold = 8;
 591    if (high - low < kInsertionSortThreshold) {
 592        HUF_insertionSort(arr, low, high);
 593        return;
 594    }
 595    while (low < high) {
 596        int const idx = HUF_quickSortPartition(arr, low, high);
 597        if (idx - low < high - idx) {
 598            HUF_simpleQuickSort(arr, low, idx - 1);
 599            low = idx + 1;
 600        } else {
 601            HUF_simpleQuickSort(arr, idx + 1, high);
 602            high = idx - 1;
 603        }
 604    }
 605}
 606
 607/*
 608 * HUF_sort():
 609 * Sorts the symbols [0, maxSymbolValue] by count[symbol] in decreasing order.
 610 * This is a typical bucket sorting strategy that uses either quicksort or insertion sort to sort each bucket.
 611 *
 612 * @param[out] huffNode       Sorted symbols by decreasing count. Only members `.count` and `.byte` are filled.
 613 *                            Must have (maxSymbolValue + 1) entries.
 614 * @param[in]  count          Histogram of the symbols.
 615 * @param[in]  maxSymbolValue Maximum symbol value.
 616 * @param      rankPosition   This is a scratch workspace. Must have RANK_POSITION_TABLE_SIZE entries.
 617 */
 618static void HUF_sort(nodeElt huffNode[], const unsigned count[], U32 const maxSymbolValue, rankPos rankPosition[]) {
 619    U32 n;
 620    U32 const maxSymbolValue1 = maxSymbolValue+1;
 621
 622    /* Compute base and set curr to base.
 623     * For symbol s let lowerRank = HUF_getIndex(count[n]) and rank = lowerRank + 1.
 624     * See HUF_getIndex to see bucketing strategy.
 625     * We attribute each symbol to lowerRank's base value, because we want to know where
 626     * each rank begins in the output, so for rank R we want to count ranks R+1 and above.
 627     */
 628    ZSTD_memset(rankPosition, 0, sizeof(*rankPosition) * RANK_POSITION_TABLE_SIZE);
 629    for (n = 0; n < maxSymbolValue1; ++n) {
 630        U32 lowerRank = HUF_getIndex(count[n]);
 631        assert(lowerRank < RANK_POSITION_TABLE_SIZE - 1);
 632        rankPosition[lowerRank].base++;
 633    }
 634
 635    assert(rankPosition[RANK_POSITION_TABLE_SIZE - 1].base == 0);
 636    /* Set up the rankPosition table */
 637    for (n = RANK_POSITION_TABLE_SIZE - 1; n > 0; --n) {
 638        rankPosition[n-1].base += rankPosition[n].base;
 639        rankPosition[n-1].curr = rankPosition[n-1].base;
 640    }
 641
 642    /* Insert each symbol into their appropriate bucket, setting up rankPosition table. */
 643    for (n = 0; n < maxSymbolValue1; ++n) {
 644        U32 const c = count[n];
 645        U32 const r = HUF_getIndex(c) + 1;
 646        U32 const pos = rankPosition[r].curr++;
 647        assert(pos < maxSymbolValue1);
 648        huffNode[pos].count = c;
 649        huffNode[pos].byte  = (BYTE)n;
 650    }
 651
 652    /* Sort each bucket. */
 653    for (n = RANK_POSITION_DISTINCT_COUNT_CUTOFF; n < RANK_POSITION_TABLE_SIZE - 1; ++n) {
 654        int const bucketSize = rankPosition[n].curr - rankPosition[n].base;
 655        U32 const bucketStartIdx = rankPosition[n].base;
 656        if (bucketSize > 1) {
 657            assert(bucketStartIdx < maxSymbolValue1);
 658            HUF_simpleQuickSort(huffNode + bucketStartIdx, 0, bucketSize-1);
 659        }
 660    }
 661
 662    assert(HUF_isSorted(huffNode, maxSymbolValue1));
 663}
 664
 665
 666/* HUF_buildCTable_wksp() :
 667 *  Same as HUF_buildCTable(), but using externally allocated scratch buffer.
 668 *  `workSpace` must be aligned on 4-bytes boundaries, and be at least as large as sizeof(HUF_buildCTable_wksp_tables).
 669 */
 670#define STARTNODE (HUF_SYMBOLVALUE_MAX+1)
 671
 672/* HUF_buildTree():
 673 * Takes the huffNode array sorted by HUF_sort() and builds an unlimited-depth Huffman tree.
 674 *
 675 * @param huffNode        The array sorted by HUF_sort(). Builds the Huffman tree in this array.
 676 * @param maxSymbolValue  The maximum symbol value.
 677 * @return                The smallest node in the Huffman tree (by count).
 678 */
 679static int HUF_buildTree(nodeElt* huffNode, U32 maxSymbolValue)
 680{
 681    nodeElt* const huffNode0 = huffNode - 1;
 682    int nonNullRank;
 683    int lowS, lowN;
 684    int nodeNb = STARTNODE;
 685    int n, nodeRoot;
 686    DEBUGLOG(5, "HUF_buildTree (alphabet size = %u)", maxSymbolValue + 1);
 687    /* init for parents */
 688    nonNullRank = (int)maxSymbolValue;
 689    while(huffNode[nonNullRank].count == 0) nonNullRank--;
 690    lowS = nonNullRank; nodeRoot = nodeNb + lowS - 1; lowN = nodeNb;
 691    huffNode[nodeNb].count = huffNode[lowS].count + huffNode[lowS-1].count;
 692    huffNode[lowS].parent = huffNode[lowS-1].parent = (U16)nodeNb;
 693    nodeNb++; lowS-=2;
 694    for (n=nodeNb; n<=nodeRoot; n++) huffNode[n].count = (U32)(1U<<30);
 695    huffNode0[0].count = (U32)(1U<<31);  /* fake entry, strong barrier */
 696
 697    /* create parents */
 698    while (nodeNb <= nodeRoot) {
 699        int const n1 = (huffNode[lowS].count < huffNode[lowN].count) ? lowS-- : lowN++;
 700        int const n2 = (huffNode[lowS].count < huffNode[lowN].count) ? lowS-- : lowN++;
 701        huffNode[nodeNb].count = huffNode[n1].count + huffNode[n2].count;
 702        huffNode[n1].parent = huffNode[n2].parent = (U16)nodeNb;
 703        nodeNb++;
 704    }
 705
 706    /* distribute weights (unlimited tree height) */
 707    huffNode[nodeRoot].nbBits = 0;
 708    for (n=nodeRoot-1; n>=STARTNODE; n--)
 709        huffNode[n].nbBits = huffNode[ huffNode[n].parent ].nbBits + 1;
 710    for (n=0; n<=nonNullRank; n++)
 711        huffNode[n].nbBits = huffNode[ huffNode[n].parent ].nbBits + 1;
 712
 713    DEBUGLOG(6, "Initial distribution of bits completed (%zu sorted symbols)", showHNodeBits(huffNode, maxSymbolValue+1));
 714
 715    return nonNullRank;
 716}
 717
 718/*
 719 * HUF_buildCTableFromTree():
 720 * Build the CTable given the Huffman tree in huffNode.
 721 *
 722 * @param[out] CTable         The output Huffman CTable.
 723 * @param      huffNode       The Huffman tree.
 724 * @param      nonNullRank    The last and smallest node in the Huffman tree.
 725 * @param      maxSymbolValue The maximum symbol value.
 726 * @param      maxNbBits      The exact maximum number of bits used in the Huffman tree.
 727 */
 728static void HUF_buildCTableFromTree(HUF_CElt* CTable, nodeElt const* huffNode, int nonNullRank, U32 maxSymbolValue, U32 maxNbBits)
 729{
 730    HUF_CElt* const ct = CTable + 1;
 731    /* fill result into ctable (val, nbBits) */
 732    int n;
 733    U16 nbPerRank[HUF_TABLELOG_MAX+1] = {0};
 734    U16 valPerRank[HUF_TABLELOG_MAX+1] = {0};
 735    int const alphabetSize = (int)(maxSymbolValue + 1);
 736    for (n=0; n<=nonNullRank; n++)
 737        nbPerRank[huffNode[n].nbBits]++;
 738    /* determine starting value per rank */
 739    {   U16 min = 0;
 740        for (n=(int)maxNbBits; n>0; n--) {
 741            valPerRank[n] = min;      /* get starting value within each rank */
 742            min += nbPerRank[n];
 743            min >>= 1;
 744    }   }
 745    for (n=0; n<alphabetSize; n++)
 746        HUF_setNbBits(ct + huffNode[n].byte, huffNode[n].nbBits);   /* push nbBits per symbol, symbol order */
 747    for (n=0; n<alphabetSize; n++)
 748        HUF_setValue(ct + n, valPerRank[HUF_getNbBits(ct[n])]++);   /* assign value within rank, symbol order */
 749
 750    HUF_writeCTableHeader(CTable, maxNbBits, maxSymbolValue);
 751}
 752
 753size_t
 754HUF_buildCTable_wksp(HUF_CElt* CTable, const unsigned* count, U32 maxSymbolValue, U32 maxNbBits,
 755                     void* workSpace, size_t wkspSize)
 756{
 757    HUF_buildCTable_wksp_tables* const wksp_tables =
 758        (HUF_buildCTable_wksp_tables*)HUF_alignUpWorkspace(workSpace, &wkspSize, ZSTD_ALIGNOF(U32));
 759    nodeElt* const huffNode0 = wksp_tables->huffNodeTbl;
 760    nodeElt* const huffNode = huffNode0+1;
 761    int nonNullRank;
 762
 763    HUF_STATIC_ASSERT(HUF_CTABLE_WORKSPACE_SIZE == sizeof(HUF_buildCTable_wksp_tables));
 764
 765    DEBUGLOG(5, "HUF_buildCTable_wksp (alphabet size = %u)", maxSymbolValue+1);
 766
 767    /* safety checks */
 768    if (wkspSize < sizeof(HUF_buildCTable_wksp_tables))
 769        return ERROR(workSpace_tooSmall);
 770    if (maxNbBits == 0) maxNbBits = HUF_TABLELOG_DEFAULT;
 771    if (maxSymbolValue > HUF_SYMBOLVALUE_MAX)
 772        return ERROR(maxSymbolValue_tooLarge);
 773    ZSTD_memset(huffNode0, 0, sizeof(huffNodeTable));
 774
 775    /* sort, decreasing order */
 776    HUF_sort(huffNode, count, maxSymbolValue, wksp_tables->rankPosition);
 777    DEBUGLOG(6, "sorted symbols completed (%zu symbols)", showHNodeSymbols(huffNode, maxSymbolValue+1));
 778
 779    /* build tree */
 780    nonNullRank = HUF_buildTree(huffNode, maxSymbolValue);
 781
 782    /* determine and enforce maxTableLog */
 783    maxNbBits = HUF_setMaxHeight(huffNode, (U32)nonNullRank, maxNbBits);
 784    if (maxNbBits > HUF_TABLELOG_MAX) return ERROR(GENERIC);   /* check fit into table */
 785
 786    HUF_buildCTableFromTree(CTable, huffNode, nonNullRank, maxSymbolValue, maxNbBits);
 787
 788    return maxNbBits;
 789}
 790
 791size_t HUF_estimateCompressedSize(const HUF_CElt* CTable, const unsigned* count, unsigned maxSymbolValue)
 792{
 793    HUF_CElt const* ct = CTable + 1;
 794    size_t nbBits = 0;
 795    int s;
 796    for (s = 0; s <= (int)maxSymbolValue; ++s) {
 797        nbBits += HUF_getNbBits(ct[s]) * count[s];
 798    }
 799    return nbBits >> 3;
 800}
 801
 802int HUF_validateCTable(const HUF_CElt* CTable, const unsigned* count, unsigned maxSymbolValue) {
 803    HUF_CTableHeader header = HUF_readCTableHeader(CTable);
 804    HUF_CElt const* ct = CTable + 1;
 805    int bad = 0;
 806    int s;
 807
 808    assert(header.tableLog <= HUF_TABLELOG_ABSOLUTEMAX);
 809
 810    if (header.maxSymbolValue < maxSymbolValue)
 811        return 0;
 812
 813    for (s = 0; s <= (int)maxSymbolValue; ++s) {
 814        bad |= (count[s] != 0) & (HUF_getNbBits(ct[s]) == 0);
 815    }
 816    return !bad;
 817}
 818
 819size_t HUF_compressBound(size_t size) { return HUF_COMPRESSBOUND(size); }
 820
 821/* HUF_CStream_t:
 822 * Huffman uses its own BIT_CStream_t implementation.
 823 * There are three major differences from BIT_CStream_t:
 824 *   1. HUF_addBits() takes a HUF_CElt (size_t) which is
 825 *      the pair (nbBits, value) in the format:
 826 *      format:
 827 *        - Bits [0, 4)            = nbBits
 828 *        - Bits [4, 64 - nbBits)  = 0
 829 *        - Bits [64 - nbBits, 64) = value
 830 *   2. The bitContainer is built from the upper bits and
 831 *      right shifted. E.g. to add a new value of N bits
 832 *      you right shift the bitContainer by N, then or in
 833 *      the new value into the N upper bits.
 834 *   3. The bitstream has two bit containers. You can add
 835 *      bits to the second container and merge them into
 836 *      the first container.
 837 */
 838
 839#define HUF_BITS_IN_CONTAINER (sizeof(size_t) * 8)
 840
 841typedef struct {
 842    size_t bitContainer[2];
 843    size_t bitPos[2];
 844
 845    BYTE* startPtr;
 846    BYTE* ptr;
 847    BYTE* endPtr;
 848} HUF_CStream_t;
 849
 850/*! HUF_initCStream():
 851 * Initializes the bitstream.
 852 * @returns 0 or an error code.
 853 */
 854static size_t HUF_initCStream(HUF_CStream_t* bitC,
 855                                  void* startPtr, size_t dstCapacity)
 856{
 857    ZSTD_memset(bitC, 0, sizeof(*bitC));
 858    bitC->startPtr = (BYTE*)startPtr;
 859    bitC->ptr = bitC->startPtr;
 860    bitC->endPtr = bitC->startPtr + dstCapacity - sizeof(bitC->bitContainer[0]);
 861    if (dstCapacity <= sizeof(bitC->bitContainer[0])) return ERROR(dstSize_tooSmall);
 862    return 0;
 863}
 864
 865/*! HUF_addBits():
 866 * Adds the symbol stored in HUF_CElt elt to the bitstream.
 867 *
 868 * @param elt   The element we're adding. This is a (nbBits, value) pair.
 869 *              See the HUF_CStream_t docs for the format.
 870 * @param idx   Insert into the bitstream at this idx.
 871 * @param kFast This is a template parameter. If the bitstream is guaranteed
 872 *              to have at least 4 unused bits after this call it may be 1,
 873 *              otherwise it must be 0. HUF_addBits() is faster when fast is set.
 874 */
 875FORCE_INLINE_TEMPLATE void HUF_addBits(HUF_CStream_t* bitC, HUF_CElt elt, int idx, int kFast)
 876{
 877    assert(idx <= 1);
 878    assert(HUF_getNbBits(elt) <= HUF_TABLELOG_ABSOLUTEMAX);
 879    /* This is efficient on x86-64 with BMI2 because shrx
 880     * only reads the low 6 bits of the register. The compiler
 881     * knows this and elides the mask. When fast is set,
 882     * every operation can use the same value loaded from elt.
 883     */
 884    bitC->bitContainer[idx] >>= HUF_getNbBits(elt);
 885    bitC->bitContainer[idx] |= kFast ? HUF_getValueFast(elt) : HUF_getValue(elt);
 886    /* We only read the low 8 bits of bitC->bitPos[idx] so it
 887     * doesn't matter that the high bits have noise from the value.
 888     */
 889    bitC->bitPos[idx] += HUF_getNbBitsFast(elt);
 890    assert((bitC->bitPos[idx] & 0xFF) <= HUF_BITS_IN_CONTAINER);
 891    /* The last 4-bits of elt are dirty if fast is set,
 892     * so we must not be overwriting bits that have already been
 893     * inserted into the bit container.
 894     */
 895#if DEBUGLEVEL >= 1
 896    {
 897        size_t const nbBits = HUF_getNbBits(elt);
 898        size_t const dirtyBits = nbBits == 0 ? 0 : ZSTD_highbit32((U32)nbBits) + 1;
 899        (void)dirtyBits;
 900        /* Middle bits are 0. */
 901        assert(((elt >> dirtyBits) << (dirtyBits + nbBits)) == 0);
 902        /* We didn't overwrite any bits in the bit container. */
 903        assert(!kFast || (bitC->bitPos[idx] & 0xFF) <= HUF_BITS_IN_CONTAINER);
 904        (void)dirtyBits;
 905    }
 906#endif
 907}
 908
 909FORCE_INLINE_TEMPLATE void HUF_zeroIndex1(HUF_CStream_t* bitC)
 910{
 911    bitC->bitContainer[1] = 0;
 912    bitC->bitPos[1] = 0;
 913}
 914
 915/*! HUF_mergeIndex1() :
 916 * Merges the bit container @ index 1 into the bit container @ index 0
 917 * and zeros the bit container @ index 1.
 918 */
 919FORCE_INLINE_TEMPLATE void HUF_mergeIndex1(HUF_CStream_t* bitC)
 920{
 921    assert((bitC->bitPos[1] & 0xFF) < HUF_BITS_IN_CONTAINER);
 922    bitC->bitContainer[0] >>= (bitC->bitPos[1] & 0xFF);
 923    bitC->bitContainer[0] |= bitC->bitContainer[1];
 924    bitC->bitPos[0] += bitC->bitPos[1];
 925    assert((bitC->bitPos[0] & 0xFF) <= HUF_BITS_IN_CONTAINER);
 926}
 927
 928/*! HUF_flushBits() :
 929* Flushes the bits in the bit container @ index 0.
 930*
 931* @post bitPos will be < 8.
 932* @param kFast If kFast is set then we must know a-priori that
 933*              the bit container will not overflow.
 934*/
 935FORCE_INLINE_TEMPLATE void HUF_flushBits(HUF_CStream_t* bitC, int kFast)
 936{
 937    /* The upper bits of bitPos are noisy, so we must mask by 0xFF. */
 938    size_t const nbBits = bitC->bitPos[0] & 0xFF;
 939    size_t const nbBytes = nbBits >> 3;
 940    /* The top nbBits bits of bitContainer are the ones we need. */
 941    size_t const bitContainer = bitC->bitContainer[0] >> (HUF_BITS_IN_CONTAINER - nbBits);
 942    /* Mask bitPos to account for the bytes we consumed. */
 943    bitC->bitPos[0] &= 7;
 944    assert(nbBits > 0);
 945    assert(nbBits <= sizeof(bitC->bitContainer[0]) * 8);
 946    assert(bitC->ptr <= bitC->endPtr);
 947    MEM_writeLEST(bitC->ptr, bitContainer);
 948    bitC->ptr += nbBytes;
 949    assert(!kFast || bitC->ptr <= bitC->endPtr);
 950    if (!kFast && bitC->ptr > bitC->endPtr) bitC->ptr = bitC->endPtr;
 951    /* bitContainer doesn't need to be modified because the leftover
 952     * bits are already the top bitPos bits. And we don't care about
 953     * noise in the lower values.
 954     */
 955}
 956
 957/*! HUF_endMark()
 958 * @returns The Huffman stream end mark: A 1-bit value = 1.
 959 */
 960static HUF_CElt HUF_endMark(void)
 961{
 962    HUF_CElt endMark;
 963    HUF_setNbBits(&endMark, 1);
 964    HUF_setValue(&endMark, 1);
 965    return endMark;
 966}
 967
 968/*! HUF_closeCStream() :
 969 *  @return Size of CStream, in bytes,
 970 *          or 0 if it could not fit into dstBuffer */
 971static size_t HUF_closeCStream(HUF_CStream_t* bitC)
 972{
 973    HUF_addBits(bitC, HUF_endMark(), /* idx */ 0, /* kFast */ 0);
 974    HUF_flushBits(bitC, /* kFast */ 0);
 975    {
 976        size_t const nbBits = bitC->bitPos[0] & 0xFF;
 977        if (bitC->ptr >= bitC->endPtr) return 0; /* overflow detected */
 978        return (size_t)(bitC->ptr - bitC->startPtr) + (nbBits > 0);
 979    }
 980}
 981
 982FORCE_INLINE_TEMPLATE void
 983HUF_encodeSymbol(HUF_CStream_t* bitCPtr, U32 symbol, const HUF_CElt* CTable, int idx, int fast)
 984{
 985    HUF_addBits(bitCPtr, CTable[symbol], idx, fast);
 986}
 987
 988FORCE_INLINE_TEMPLATE void
 989HUF_compress1X_usingCTable_internal_body_loop(HUF_CStream_t* bitC,
 990                                   const BYTE* ip, size_t srcSize,
 991                                   const HUF_CElt* ct,
 992                                   int kUnroll, int kFastFlush, int kLastFast)
 993{
 994    /* Join to kUnroll */
 995    int n = (int)srcSize;
 996    int rem = n % kUnroll;
 997    if (rem > 0) {
 998        for (; rem > 0; --rem) {
 999            HUF_encodeSymbol(bitC, ip[--n], ct, 0, /* fast */ 0);
1000        }
1001        HUF_flushBits(bitC, kFastFlush);
1002    }
1003    assert(n % kUnroll == 0);
1004
1005    /* Join to 2 * kUnroll */
1006    if (n % (2 * kUnroll)) {
1007        int u;
1008        for (u = 1; u < kUnroll; ++u) {
1009            HUF_encodeSymbol(bitC, ip[n - u], ct, 0, 1);
1010        }
1011        HUF_encodeSymbol(bitC, ip[n - kUnroll], ct, 0, kLastFast);
1012        HUF_flushBits(bitC, kFastFlush);
1013        n -= kUnroll;
1014    }
1015    assert(n % (2 * kUnroll) == 0);
1016
1017    for (; n>0; n-= 2 * kUnroll) {
1018        /* Encode kUnroll symbols into the bitstream @ index 0. */
1019        int u;
1020        for (u = 1; u < kUnroll; ++u) {
1021            HUF_encodeSymbol(bitC, ip[n - u], ct, /* idx */ 0, /* fast */ 1);
1022        }
1023        HUF_encodeSymbol(bitC, ip[n - kUnroll], ct, /* idx */ 0, /* fast */ kLastFast);
1024        HUF_flushBits(bitC, kFastFlush);
1025        /* Encode kUnroll symbols into the bitstream @ index 1.
1026         * This allows us to start filling the bit container
1027         * without any data dependencies.
1028         */
1029        HUF_zeroIndex1(bitC);
1030        for (u = 1; u < kUnroll; ++u) {
1031            HUF_encodeSymbol(bitC, ip[n - kUnroll - u], ct, /* idx */ 1, /* fast */ 1);
1032        }
1033        HUF_encodeSymbol(bitC, ip[n - kUnroll - kUnroll], ct, /* idx */ 1, /* fast */ kLastFast);
1034        /* Merge bitstream @ index 1 into the bitstream @ index 0 */
1035        HUF_mergeIndex1(bitC);
1036        HUF_flushBits(bitC, kFastFlush);
1037    }
1038    assert(n == 0);
1039
1040}
1041
1042/*
1043 * Returns a tight upper bound on the output space needed by Huffman
1044 * with 8 bytes buffer to handle over-writes. If the output is at least
1045 * this large we don't need to do bounds checks during Huffman encoding.
1046 */
1047static size_t HUF_tightCompressBound(size_t srcSize, size_t tableLog)
1048{
1049    return ((srcSize * tableLog) >> 3) + 8;
1050}
1051
1052
1053FORCE_INLINE_TEMPLATE size_t
1054HUF_compress1X_usingCTable_internal_body(void* dst, size_t dstSize,
1055                                   const void* src, size_t srcSize,
1056                                   const HUF_CElt* CTable)
1057{
1058    U32 const tableLog = HUF_readCTableHeader(CTable).tableLog;
1059    HUF_CElt const* ct = CTable + 1;
1060    const BYTE* ip = (const BYTE*) src;
1061    BYTE* const ostart = (BYTE*)dst;
1062    BYTE* const oend = ostart + dstSize;
1063    HUF_CStream_t bitC;
1064
1065    /* init */
1066    if (dstSize < 8) return 0;   /* not enough space to compress */
1067    { BYTE* op = ostart;
1068      size_t const initErr = HUF_initCStream(&bitC, op, (size_t)(oend-op));
1069      if (HUF_isError(initErr)) return 0; }
1070
1071    if (dstSize < HUF_tightCompressBound(srcSize, (size_t)tableLog) || tableLog > 11)
1072        HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ MEM_32bits() ? 2 : 4, /* kFast */ 0, /* kLastFast */ 0);
1073    else {
1074        if (MEM_32bits()) {
1075            switch (tableLog) {
1076            case 11:
1077                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 2, /* kFastFlush */ 1, /* kLastFast */ 0);
1078                break;
1079            case 10: ZSTD_FALLTHROUGH;
1080            case 9: ZSTD_FALLTHROUGH;
1081            case 8:
1082                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 2, /* kFastFlush */ 1, /* kLastFast */ 1);
1083                break;
1084            case 7: ZSTD_FALLTHROUGH;
1085            default:
1086                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 3, /* kFastFlush */ 1, /* kLastFast */ 1);
1087                break;
1088            }
1089        } else {
1090            switch (tableLog) {
1091            case 11:
1092                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 5, /* kFastFlush */ 1, /* kLastFast */ 0);
1093                break;
1094            case 10:
1095                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 5, /* kFastFlush */ 1, /* kLastFast */ 1);
1096                break;
1097            case 9:
1098                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 6, /* kFastFlush */ 1, /* kLastFast */ 0);
1099                break;
1100            case 8:
1101                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 7, /* kFastFlush */ 1, /* kLastFast */ 0);
1102                break;
1103            case 7:
1104                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 8, /* kFastFlush */ 1, /* kLastFast */ 0);
1105                break;
1106            case 6: ZSTD_FALLTHROUGH;
1107            default:
1108                HUF_compress1X_usingCTable_internal_body_loop(&bitC, ip, srcSize, ct, /* kUnroll */ 9, /* kFastFlush */ 1, /* kLastFast */ 1);
1109                break;
1110            }
1111        }
1112    }
1113    assert(bitC.ptr <= bitC.endPtr);
1114
1115    return HUF_closeCStream(&bitC);
1116}
1117
1118#if DYNAMIC_BMI2
1119
1120static BMI2_TARGET_ATTRIBUTE size_t
1121HUF_compress1X_usingCTable_internal_bmi2(void* dst, size_t dstSize,
1122                                   const void* src, size_t srcSize,
1123                                   const HUF_CElt* CTable)
1124{
1125    return HUF_compress1X_usingCTable_internal_body(dst, dstSize, src, srcSize, CTable);
1126}
1127
1128static size_t
1129HUF_compress1X_usingCTable_internal_default(void* dst, size_t dstSize,
1130                                      const void* src, size_t srcSize,
1131                                      const HUF_CElt* CTable)
1132{
1133    return HUF_compress1X_usingCTable_internal_body(dst, dstSize, src, srcSize, CTable);
1134}
1135
1136static size_t
1137HUF_compress1X_usingCTable_internal(void* dst, size_t dstSize,
1138                              const void* src, size_t srcSize,
1139                              const HUF_CElt* CTable, const int flags)
1140{
1141    if (flags & HUF_flags_bmi2) {
1142        return HUF_compress1X_usingCTable_internal_bmi2(dst, dstSize, src, srcSize, CTable);
1143    }
1144    return HUF_compress1X_usingCTable_internal_default(dst, dstSize, src, srcSize, CTable);
1145}
1146
1147#else
1148
1149static size_t
1150HUF_compress1X_usingCTable_internal(void* dst, size_t dstSize,
1151                              const void* src, size_t srcSize,
1152                              const HUF_CElt* CTable, const int flags)
1153{
1154    (void)flags;
1155    return HUF_compress1X_usingCTable_internal_body(dst, dstSize, src, srcSize, CTable);
1156}
1157
1158#endif
1159
1160size_t HUF_compress1X_usingCTable(void* dst, size_t dstSize, const void* src, size_t srcSize, const HUF_CElt* CTable, int flags)
1161{
1162    return HUF_compress1X_usingCTable_internal(dst, dstSize, src, srcSize, CTable, flags);
1163}
1164
1165static size_t
1166HUF_compress4X_usingCTable_internal(void* dst, size_t dstSize,
1167                              const void* src, size_t srcSize,
1168                              const HUF_CElt* CTable, int flags)
1169{
1170    size_t const segmentSize = (srcSize+3)/4;   /* first 3 segments */
1171    const BYTE* ip = (const BYTE*) src;
1172    const BYTE* const iend = ip + srcSize;
1173    BYTE* const ostart = (BYTE*) dst;
1174    BYTE* const oend = ostart + dstSize;
1175    BYTE* op = ostart;
1176
1177    if (dstSize < 6 + 1 + 1 + 1 + 8) return 0;   /* minimum space to compress successfully */
1178    if (srcSize < 12) return 0;   /* no saving possible : too small input */
1179    op += 6;   /* jumpTable */
1180
1181    assert(op <= oend);
1182    {   CHECK_V_F(cSize, HUF_compress1X_usingCTable_internal(op, (size_t)(oend-op), ip, segmentSize, CTable, flags) );
1183        if (cSize == 0 || cSize > 65535) return 0;
1184        MEM_writeLE16(ostart, (U16)cSize);
1185        op += cSize;
1186    }
1187
1188    ip += segmentSize;
1189    assert(op <= oend);
1190    {   CHECK_V_F(cSize, HUF_compress1X_usingCTable_internal(op, (size_t)(oend-op), ip, segmentSize, CTable, flags) );
1191        if (cSize == 0 || cSize > 65535) return 0;
1192        MEM_writeLE16(ostart+2, (U16)cSize);
1193        op += cSize;
1194    }
1195
1196    ip += segmentSize;
1197    assert(op <= oend);
1198    {   CHECK_V_F(cSize, HUF_compress1X_usingCTable_internal(op, (size_t)(oend-op), ip, segmentSize, CTable, flags) );
1199        if (cSize == 0 || cSize > 65535) return 0;
1200        MEM_writeLE16(ostart+4, (U16)cSize);
1201        op += cSize;
1202    }
1203
1204    ip += segmentSize;
1205    assert(op <= oend);
1206    assert(ip <= iend);
1207    {   CHECK_V_F(cSize, HUF_compress1X_usingCTable_internal(op, (size_t)(oend-op), ip, (size_t)(iend-ip), CTable, flags) );
1208        if (cSize == 0 || cSize > 65535) return 0;
1209        op += cSize;
1210    }
1211
1212    return (size_t)(op-ostart);
1213}
1214
1215size_t HUF_compress4X_usingCTable(void* dst, size_t dstSize, const void* src, size_t srcSize, const HUF_CElt* CTable, int flags)
1216{
1217    return HUF_compress4X_usingCTable_internal(dst, dstSize, src, srcSize, CTable, flags);
1218}
1219
1220typedef enum { HUF_singleStream, HUF_fourStreams } HUF_nbStreams_e;
1221
1222static size_t HUF_compressCTable_internal(
1223                BYTE* const ostart, BYTE* op, BYTE* const oend,
1224                const void* src, size_t srcSize,
1225                HUF_nbStreams_e nbStreams, const HUF_CElt* CTable, const int flags)
1226{
1227    size_t const cSize = (nbStreams==HUF_singleStream) ?
1228                         HUF_compress1X_usingCTable_internal(op, (size_t)(oend - op), src, srcSize, CTable, flags) :
1229                         HUF_compress4X_usingCTable_internal(op, (size_t)(oend - op), src, srcSize, CTable, flags);
1230    if (HUF_isError(cSize)) { return cSize; }
1231    if (cSize==0) { return 0; }   /* uncompressible */
1232    op += cSize;
1233    /* check compressibility */
1234    assert(op >= ostart);
1235    if ((size_t)(op-ostart) >= srcSize-1) { return 0; }
1236    return (size_t)(op-ostart);
1237}
1238
1239typedef struct {
1240    unsigned count[HUF_SYMBOLVALUE_MAX + 1];
1241    HUF_CElt CTable[HUF_CTABLE_SIZE_ST(HUF_SYMBOLVALUE_MAX)];
1242    union {
1243        HUF_buildCTable_wksp_tables buildCTable_wksp;
1244        HUF_WriteCTableWksp writeCTable_wksp;
1245        U32 hist_wksp[HIST_WKSP_SIZE_U32];
1246    } wksps;
1247} HUF_compress_tables_t;
1248
1249#define SUSPECT_INCOMPRESSIBLE_SAMPLE_SIZE 4096
1250#define SUSPECT_INCOMPRESSIBLE_SAMPLE_RATIO 10  /* Must be >= 2 */
1251
1252unsigned HUF_cardinality(const unsigned* count, unsigned maxSymbolValue)
1253{
1254    unsigned cardinality = 0;
1255    unsigned i;
1256
1257    for (i = 0; i < maxSymbolValue + 1; i++) {
1258        if (count[i] != 0) cardinality += 1;
1259    }
1260
1261    return cardinality;
1262}
1263
1264unsigned HUF_minTableLog(unsigned symbolCardinality)
1265{
1266    U32 minBitsSymbols = ZSTD_highbit32(symbolCardinality) + 1;
1267    return minBitsSymbols;
1268}
1269
1270unsigned HUF_optimalTableLog(
1271            unsigned maxTableLog,
1272            size_t srcSize,
1273            unsigned maxSymbolValue,
1274            void* workSpace, size_t wkspSize,
1275            HUF_CElt* table,
1276      const unsigned* count,
1277            int flags)
1278{
1279    assert(srcSize > 1); /* Not supported, RLE should be used instead */
1280    assert(wkspSize >= sizeof(HUF_buildCTable_wksp_tables));
1281
1282    if (!(flags & HUF_flags_optimalDepth)) {
1283        /* cheap evaluation, based on FSE */
1284        return FSE_optimalTableLog_internal(maxTableLog, srcSize, maxSymbolValue, 1);
1285    }
1286
1287    {   BYTE* dst = (BYTE*)workSpace + sizeof(HUF_WriteCTableWksp);
1288        size_t dstSize = wkspSize - sizeof(HUF_WriteCTableWksp);
1289        size_t hSize, newSize;
1290        const unsigned symbolCardinality = HUF_cardinality(count, maxSymbolValue);
1291        const unsigned minTableLog = HUF_minTableLog(symbolCardinality);
1292        size_t optSize = ((size_t) ~0) - 1;
1293        unsigned optLog = maxTableLog, optLogGuess;
1294
1295        DEBUGLOG(6, "HUF_optimalTableLog: probing huf depth (srcSize=%zu)", srcSize);
1296
1297        /* Search until size increases */
1298        for (optLogGuess = minTableLog; optLogGuess <= maxTableLog; optLogGuess++) {
1299            DEBUGLOG(7, "checking for huffLog=%u", optLogGuess);
1300
1301            {   size_t maxBits = HUF_buildCTable_wksp(table, count, maxSymbolValue, optLogGuess, workSpace, wkspSize);
1302                if (ERR_isError(maxBits)) continue;
1303
1304                if (maxBits < optLogGuess && optLogGuess > minTableLog) break;
1305
1306                hSize = HUF_writeCTable_wksp(dst, dstSize, table, maxSymbolValue, (U32)maxBits, workSpace, wkspSize);
1307            }
1308
1309            if (ERR_isError(hSize)) continue;
1310
1311            newSize = HUF_estimateCompressedSize(table, count, maxSymbolValue) + hSize;
1312
1313            if (newSize > optSize + 1) {
1314                break;
1315            }
1316
1317            if (newSize < optSize) {
1318                optSize = newSize;
1319                optLog = optLogGuess;
1320            }
1321        }
1322        assert(optLog <= HUF_TABLELOG_MAX);
1323        return optLog;
1324    }
1325}
1326
1327/* HUF_compress_internal() :
1328 * `workSpace_align4` must be aligned on 4-bytes boundaries,
1329 * and occupies the same space as a table of HUF_WORKSPACE_SIZE_U64 unsigned */
1330static size_t
1331HUF_compress_internal (void* dst, size_t dstSize,
1332                 const void* src, size_t srcSize,
1333                       unsigned maxSymbolValue, unsigned huffLog,
1334                       HUF_nbStreams_e nbStreams,
1335                       void* workSpace, size_t wkspSize,
1336                       HUF_CElt* oldHufTable, HUF_repeat* repeat, int flags)
1337{
1338    HUF_compress_tables_t* const table = (HUF_compress_tables_t*)HUF_alignUpWorkspace(workSpace, &wkspSize, ZSTD_ALIGNOF(size_t));
1339    BYTE* const ostart = (BYTE*)dst;
1340    BYTE* const oend = ostart + dstSize;
1341    BYTE* op = ostart;
1342
1343    DEBUGLOG(5, "HUF_compress_internal (srcSize=%zu)", srcSize);
1344    HUF_STATIC_ASSERT(sizeof(*table) + HUF_WORKSPACE_MAX_ALIGNMENT <= HUF_WORKSPACE_SIZE);
1345
1346    /* checks & inits */
1347    if (wkspSize < sizeof(*table)) return ERROR(workSpace_tooSmall);
1348    if (!srcSize) return 0;  /* Uncompressed */
1349    if (!dstSize) return 0;  /* cannot fit anything within dst budget */
1350    if (srcSize > HUF_BLOCKSIZE_MAX) return ERROR(srcSize_wrong);   /* current block size limit */
1351    if (huffLog > HUF_TABLELOG_MAX) return ERROR(tableLog_tooLarge);
1352    if (maxSymbolValue > HUF_SYMBOLVALUE_MAX) return ERROR(maxSymbolValue_tooLarge);
1353    if (!maxSymbolValue) maxSymbolValue = HUF_SYMBOLVALUE_MAX;
1354    if (!huffLog) huffLog = HUF_TABLELOG_DEFAULT;
1355
1356    /* Heuristic : If old table is valid, use it for small inputs */
1357    if ((flags & HUF_flags_preferRepeat) && repeat && *repeat == HUF_repeat_valid) {
1358        return HUF_compressCTable_internal(ostart, op, oend,
1359                                           src, srcSize,
1360                                           nbStreams, oldHufTable, flags);
1361    }
1362
1363    /* If uncompressible data is suspected, do a smaller sampling first */
1364    DEBUG_STATIC_ASSERT(SUSPECT_INCOMPRESSIBLE_SAMPLE_RATIO >= 2);
1365    if ((flags & HUF_flags_suspectUncompressible) && srcSize >= (SUSPECT_INCOMPRESSIBLE_SAMPLE_SIZE * SUSPECT_INCOMPRESSIBLE_SAMPLE_RATIO)) {
1366        size_t largestTotal = 0;
1367        DEBUGLOG(5, "input suspected incompressible : sampling to check");
1368        {   unsigned maxSymbolValueBegin = maxSymbolValue;
1369            CHECK_V_F(largestBegin, HIST_count_simple (table->count, &maxSymbolValueBegin, (const BYTE*)src, SUSPECT_INCOMPRESSIBLE_SAMPLE_SIZE) );
1370            largestTotal += largestBegin;
1371        }
1372        {   unsigned maxSymbolValueEnd = maxSymbolValue;
1373            CHECK_V_F(largestEnd, HIST_count_simple (table->count, &maxSymbolValueEnd, (const BYTE*)src + srcSize - SUSPECT_INCOMPRESSIBLE_SAMPLE_SIZE, SUSPECT_INCOMPRESSIBLE_SAMPLE_SIZE) );
1374            largestTotal += largestEnd;
1375        }
1376        if (largestTotal <= ((2 * SUSPECT_INCOMPRESSIBLE_SAMPLE_SIZE) >> 7)+4) return 0;   /* heuristic : probably not compressible enough */
1377    }
1378
1379    /* Scan input and build symbol stats */
1380    {   CHECK_V_F(largest, HIST_count_wksp (table->count, &maxSymbolValue, (const BYTE*)src, srcSize, table->wksps.hist_wksp, sizeof(table->wksps.hist_wksp)) );
1381        if (largest == srcSize) { *ostart = ((const BYTE*)src)[0]; return 1; }   /* single symbol, rle */
1382        if (largest <= (srcSize >> 7)+4) return 0;   /* heuristic : probably not compressible enough */
1383    }
1384    DEBUGLOG(6, "histogram detail completed (%zu symbols)", showU32(table->count, maxSymbolValue+1));
1385
1386    /* Check validity of previous table */
1387    if ( repeat
1388      && *repeat == HUF_repeat_check
1389      && !HUF_validateCTable(oldHufTable, table->count, maxSymbolValue)) {
1390        *repeat = HUF_repeat_none;
1391    }
1392    /* Heuristic : use existing table for small inputs */
1393    if ((flags & HUF_flags_preferRepeat) && repeat && *repeat != HUF_repeat_none) {
1394        return HUF_compressCTable_internal(ostart, op, oend,
1395                                           src, srcSize,
1396                                           nbStreams, oldHufTable, flags);
1397    }
1398
1399    /* Build Huffman Tree */
1400    huffLog = HUF_optimalTableLog(huffLog, srcSize, maxSymbolValue, &table->wksps, sizeof(table->wksps), table->CTable, table->count, flags);
1401    {   size_t const maxBits = HUF_buildCTable_wksp(table->CTable, table->count,
1402                                            maxSymbolValue, huffLog,
1403                                            &table->wksps.buildCTable_wksp, sizeof(table->wksps.buildCTable_wksp));
1404        CHECK_F(maxBits);
1405        huffLog = (U32)maxBits;
1406        DEBUGLOG(6, "bit distribution completed (%zu symbols)", showCTableBits(table->CTable + 1, maxSymbolValue+1));
1407    }
1408
1409    /* Write table description header */
1410    {   CHECK_V_F(hSize, HUF_writeCTable_wksp(op, dstSize, table->CTable, maxSymbolValue, huffLog,
1411                                              &table->wksps.writeCTable_wksp, sizeof(table->wksps.writeCTable_wksp)) );
1412        /* Check if using previous huffman table is beneficial */
1413        if (repeat && *repeat != HUF_repeat_none) {
1414            size_t const oldSize = HUF_estimateCompressedSize(oldHufTable, table->count, maxSymbolValue);
1415            size_t const newSize = HUF_estimateCompressedSize(table->CTable, table->count, maxSymbolValue);
1416            if (oldSize <= hSize + newSize || hSize + 12 >= srcSize) {
1417                return HUF_compressCTable_internal(ostart, op, oend,
1418                                                   src, srcSize,
1419                                                   nbStreams, oldHufTable, flags);
1420        }   }
1421
1422        /* Use the new huffman table */
1423        if (hSize + 12ul >= srcSize) { return 0; }
1424        op += hSize;
1425        if (repeat) { *repeat = HUF_repeat_none; }
1426        if (oldHufTable)
1427            ZSTD_memcpy(oldHufTable, table->CTable, sizeof(table->CTable));  /* Save new table */
1428    }
1429    return HUF_compressCTable_internal(ostart, op, oend,
1430                                       src, srcSize,
1431                                       nbStreams, table->CTable, flags);
1432}
1433
1434size_t HUF_compress1X_repeat (void* dst, size_t dstSize,
1435                      const void* src, size_t srcSize,
1436                      unsigned maxSymbolValue, unsigned huffLog,
1437                      void* workSpace, size_t wkspSize,
1438                      HUF_CElt* hufTable, HUF_repeat* repeat, int flags)
1439{
1440    DEBUGLOG(5, "HUF_compress1X_repeat (srcSize = %zu)", srcSize);
1441    return HUF_compress_internal(dst, dstSize, src, srcSize,
1442                                 maxSymbolValue, huffLog, HUF_singleStream,
1443                                 workSpace, wkspSize, hufTable,
1444                                 repeat, flags);
1445}
1446
1447/* HUF_compress4X_repeat():
1448 * compress input using 4 streams.
1449 * consider skipping quickly
1450 * reuse an existing huffman compression table */
1451size_t HUF_compress4X_repeat (void* dst, size_t dstSize,
1452                      const void* src, size_t srcSize,
1453                      unsigned maxSymbolValue, unsigned huffLog,
1454                      void* workSpace, size_t wkspSize,
1455                      HUF_CElt* hufTable, HUF_repeat* repeat, int flags)
1456{
1457    DEBUGLOG(5, "HUF_compress4X_repeat (srcSize = %zu)", srcSize);
1458    return HUF_compress_internal(dst, dstSize, src, srcSize,
1459                                 maxSymbolValue, huffLog, HUF_fourStreams,
1460                                 workSpace, wkspSize,
1461                                 hufTable, repeat, flags);
1462}
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