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      1 /* ******************************************************************
      2  * FSE : Finite State Entropy codec
      3  * Public Prototypes declaration
      4  * Copyright (c) Meta Platforms, Inc. and affiliates.
      5  *
      6  * You can contact the author at :
      7  * - Source repository : https://github.com/Cyan4973/FiniteStateEntropy
      8  *
      9  * This source code is licensed under both the BSD-style license (found in the
     10  * LICENSE file in the root directory of this source tree) and the GPLv2 (found
     11  * in the COPYING file in the root directory of this source tree).
     12  * You may select, at your option, one of the above-listed licenses.
     13 ****************************************************************** */
     14 #ifndef FSE_H
     15 #define FSE_H
     16 
     17 
     18 /*-*****************************************
     19 *  Dependencies
     20 ******************************************/
     21 #include "zstd_deps.h"    /* size_t, ptrdiff_t */
     22 
     23 /*-*****************************************
     24 *  FSE_PUBLIC_API : control library symbols visibility
     25 ******************************************/
     26 #if defined(FSE_DLL_EXPORT) && (FSE_DLL_EXPORT==1) && defined(__GNUC__) && (__GNUC__ >= 4)
     27 #  define FSE_PUBLIC_API __attribute__ ((visibility ("default")))
     28 #elif defined(FSE_DLL_EXPORT) && (FSE_DLL_EXPORT==1)   /* Visual expected */
     29 #  define FSE_PUBLIC_API __declspec(dllexport)
     30 #elif defined(FSE_DLL_IMPORT) && (FSE_DLL_IMPORT==1)
     31 #  define FSE_PUBLIC_API __declspec(dllimport) /* It isn't required but allows to generate better code, saving a function pointer load from the IAT and an indirect jump.*/
     32 #else
     33 #  define FSE_PUBLIC_API
     34 #endif
     35 
     36 /*------   Version   ------*/
     37 #define FSE_VERSION_MAJOR    0
     38 #define FSE_VERSION_MINOR    9
     39 #define FSE_VERSION_RELEASE  0
     40 
     41 #define FSE_LIB_VERSION FSE_VERSION_MAJOR.FSE_VERSION_MINOR.FSE_VERSION_RELEASE
     42 #define FSE_QUOTE(str) #str
     43 #define FSE_EXPAND_AND_QUOTE(str) FSE_QUOTE(str)
     44 #define FSE_VERSION_STRING FSE_EXPAND_AND_QUOTE(FSE_LIB_VERSION)
     45 
     46 #define FSE_VERSION_NUMBER  (FSE_VERSION_MAJOR *100*100 + FSE_VERSION_MINOR *100 + FSE_VERSION_RELEASE)
     47 FSE_PUBLIC_API unsigned FSE_versionNumber(void);   /**< library version number; to be used when checking dll version */
     48 
     49 
     50 /*-*****************************************
     51 *  Tool functions
     52 ******************************************/
     53 FSE_PUBLIC_API size_t FSE_compressBound(size_t size);       /* maximum compressed size */
     54 
     55 /* Error Management */
     56 FSE_PUBLIC_API unsigned    FSE_isError(size_t code);        /* tells if a return value is an error code */
     57 FSE_PUBLIC_API const char* FSE_getErrorName(size_t code);   /* provides error code string (useful for debugging) */
     58 
     59 
     60 /*-*****************************************
     61 *  FSE detailed API
     62 ******************************************/
     63 /*!
     64 FSE_compress() does the following:
     65 1. count symbol occurrence from source[] into table count[] (see hist.h)
     66 2. normalize counters so that sum(count[]) == Power_of_2 (2^tableLog)
     67 3. save normalized counters to memory buffer using writeNCount()
     68 4. build encoding table 'CTable' from normalized counters
     69 5. encode the data stream using encoding table 'CTable'
     70 
     71 FSE_decompress() does the following:
     72 1. read normalized counters with readNCount()
     73 2. build decoding table 'DTable' from normalized counters
     74 3. decode the data stream using decoding table 'DTable'
     75 
     76 The following API allows targeting specific sub-functions for advanced tasks.
     77 For example, it's possible to compress several blocks using the same 'CTable',
     78 or to save and provide normalized distribution using external method.
     79 */
     80 
     81 /* *** COMPRESSION *** */
     82 
     83 /*! FSE_optimalTableLog():
     84     dynamically downsize 'tableLog' when conditions are met.
     85     It saves CPU time, by using smaller tables, while preserving or even improving compression ratio.
     86     @return : recommended tableLog (necessarily <= 'maxTableLog') */
     87 FSE_PUBLIC_API unsigned FSE_optimalTableLog(unsigned maxTableLog, size_t srcSize, unsigned maxSymbolValue);
     88 
     89 /*! FSE_normalizeCount():
     90     normalize counts so that sum(count[]) == Power_of_2 (2^tableLog)
     91     'normalizedCounter' is a table of short, of minimum size (maxSymbolValue+1).
     92     useLowProbCount is a boolean parameter which trades off compressed size for
     93     faster header decoding. When it is set to 1, the compressed data will be slightly
     94     smaller. And when it is set to 0, FSE_readNCount() and FSE_buildDTable() will be
     95     faster. If you are compressing a small amount of data (< 2 KB) then useLowProbCount=0
     96     is a good default, since header deserialization makes a big speed difference.
     97     Otherwise, useLowProbCount=1 is a good default, since the speed difference is small.
     98     @return : tableLog,
     99               or an errorCode, which can be tested using FSE_isError() */
    100 FSE_PUBLIC_API size_t FSE_normalizeCount(short* normalizedCounter, unsigned tableLog,
    101                     const unsigned* count, size_t srcSize, unsigned maxSymbolValue, unsigned useLowProbCount);
    102 
    103 /*! FSE_NCountWriteBound():
    104     Provides the maximum possible size of an FSE normalized table, given 'maxSymbolValue' and 'tableLog'.
    105     Typically useful for allocation purpose. */
    106 FSE_PUBLIC_API size_t FSE_NCountWriteBound(unsigned maxSymbolValue, unsigned tableLog);
    107 
    108 /*! FSE_writeNCount():
    109     Compactly save 'normalizedCounter' into 'buffer'.
    110     @return : size of the compressed table,
    111               or an errorCode, which can be tested using FSE_isError(). */
    112 FSE_PUBLIC_API size_t FSE_writeNCount (void* buffer, size_t bufferSize,
    113                                  const short* normalizedCounter,
    114                                  unsigned maxSymbolValue, unsigned tableLog);
    115 
    116 /*! Constructor and Destructor of FSE_CTable.
    117     Note that FSE_CTable size depends on 'tableLog' and 'maxSymbolValue' */
    118 typedef unsigned FSE_CTable;   /* don't allocate that. It's only meant to be more restrictive than void* */
    119 
    120 /*! FSE_buildCTable():
    121     Builds `ct`, which must be already allocated, using FSE_createCTable().
    122     @return : 0, or an errorCode, which can be tested using FSE_isError() */
    123 FSE_PUBLIC_API size_t FSE_buildCTable(FSE_CTable* ct, const short* normalizedCounter, unsigned maxSymbolValue, unsigned tableLog);
    124 
    125 /*! FSE_compress_usingCTable():
    126     Compress `src` using `ct` into `dst` which must be already allocated.
    127     @return : size of compressed data (<= `dstCapacity`),
    128               or 0 if compressed data could not fit into `dst`,
    129               or an errorCode, which can be tested using FSE_isError() */
    130 FSE_PUBLIC_API size_t FSE_compress_usingCTable (void* dst, size_t dstCapacity, const void* src, size_t srcSize, const FSE_CTable* ct);
    131 
    132 /*!
    133 Tutorial :
    134 ----------
    135 The first step is to count all symbols. FSE_count() does this job very fast.
    136 Result will be saved into 'count', a table of unsigned int, which must be already allocated, and have 'maxSymbolValuePtr[0]+1' cells.
    137 'src' is a table of bytes of size 'srcSize'. All values within 'src' MUST be <= maxSymbolValuePtr[0]
    138 maxSymbolValuePtr[0] will be updated, with its real value (necessarily <= original value)
    139 FSE_count() will return the number of occurrence of the most frequent symbol.
    140 This can be used to know if there is a single symbol within 'src', and to quickly evaluate its compressibility.
    141 If there is an error, the function will return an ErrorCode (which can be tested using FSE_isError()).
    142 
    143 The next step is to normalize the frequencies.
    144 FSE_normalizeCount() will ensure that sum of frequencies is == 2 ^'tableLog'.
    145 It also guarantees a minimum of 1 to any Symbol with frequency >= 1.
    146 You can use 'tableLog'==0 to mean "use default tableLog value".
    147 If you are unsure of which tableLog value to use, you can ask FSE_optimalTableLog(),
    148 which will provide the optimal valid tableLog given sourceSize, maxSymbolValue, and a user-defined maximum (0 means "default").
    149 
    150 The result of FSE_normalizeCount() will be saved into a table,
    151 called 'normalizedCounter', which is a table of signed short.
    152 'normalizedCounter' must be already allocated, and have at least 'maxSymbolValue+1' cells.
    153 The return value is tableLog if everything proceeded as expected.
    154 It is 0 if there is a single symbol within distribution.
    155 If there is an error (ex: invalid tableLog value), the function will return an ErrorCode (which can be tested using FSE_isError()).
    156 
    157 'normalizedCounter' can be saved in a compact manner to a memory area using FSE_writeNCount().
    158 'buffer' must be already allocated.
    159 For guaranteed success, buffer size must be at least FSE_headerBound().
    160 The result of the function is the number of bytes written into 'buffer'.
    161 If there is an error, the function will return an ErrorCode (which can be tested using FSE_isError(); ex : buffer size too small).
    162 
    163 'normalizedCounter' can then be used to create the compression table 'CTable'.
    164 The space required by 'CTable' must be already allocated, using FSE_createCTable().
    165 You can then use FSE_buildCTable() to fill 'CTable'.
    166 If there is an error, both functions will return an ErrorCode (which can be tested using FSE_isError()).
    167 
    168 'CTable' can then be used to compress 'src', with FSE_compress_usingCTable().
    169 Similar to FSE_count(), the convention is that 'src' is assumed to be a table of char of size 'srcSize'
    170 The function returns the size of compressed data (without header), necessarily <= `dstCapacity`.
    171 If it returns '0', compressed data could not fit into 'dst'.
    172 If there is an error, the function will return an ErrorCode (which can be tested using FSE_isError()).
    173 */
    174 
    175 
    176 /* *** DECOMPRESSION *** */
    177 
    178 /*! FSE_readNCount():
    179     Read compactly saved 'normalizedCounter' from 'rBuffer'.
    180     @return : size read from 'rBuffer',
    181               or an errorCode, which can be tested using FSE_isError().
    182               maxSymbolValuePtr[0] and tableLogPtr[0] will also be updated with their respective values */
    183 FSE_PUBLIC_API size_t FSE_readNCount (short* normalizedCounter,
    184                            unsigned* maxSymbolValuePtr, unsigned* tableLogPtr,
    185                            const void* rBuffer, size_t rBuffSize);
    186 
    187 /*! FSE_readNCount_bmi2():
    188  * Same as FSE_readNCount() but pass bmi2=1 when your CPU supports BMI2 and 0 otherwise.
    189  */
    190 FSE_PUBLIC_API size_t FSE_readNCount_bmi2(short* normalizedCounter,
    191                            unsigned* maxSymbolValuePtr, unsigned* tableLogPtr,
    192                            const void* rBuffer, size_t rBuffSize, int bmi2);
    193 
    194 typedef unsigned FSE_DTable;   /* don't allocate that. It's just a way to be more restrictive than void* */
    195 
    196 /*!
    197 Tutorial :
    198 ----------
    199 (Note : these functions only decompress FSE-compressed blocks.
    200  If block is uncompressed, use memcpy() instead
    201  If block is a single repeated byte, use memset() instead )
    202 
    203 The first step is to obtain the normalized frequencies of symbols.
    204 This can be performed by FSE_readNCount() if it was saved using FSE_writeNCount().
    205 'normalizedCounter' must be already allocated, and have at least 'maxSymbolValuePtr[0]+1' cells of signed short.
    206 In practice, that means it's necessary to know 'maxSymbolValue' beforehand,
    207 or size the table to handle worst case situations (typically 256).
    208 FSE_readNCount() will provide 'tableLog' and 'maxSymbolValue'.
    209 The result of FSE_readNCount() is the number of bytes read from 'rBuffer'.
    210 Note that 'rBufferSize' must be at least 4 bytes, even if useful information is less than that.
    211 If there is an error, the function will return an error code, which can be tested using FSE_isError().
    212 
    213 The next step is to build the decompression tables 'FSE_DTable' from 'normalizedCounter'.
    214 This is performed by the function FSE_buildDTable().
    215 The space required by 'FSE_DTable' must be already allocated using FSE_createDTable().
    216 If there is an error, the function will return an error code, which can be tested using FSE_isError().
    217 
    218 `FSE_DTable` can then be used to decompress `cSrc`, with FSE_decompress_usingDTable().
    219 `cSrcSize` must be strictly correct, otherwise decompression will fail.
    220 FSE_decompress_usingDTable() result will tell how many bytes were regenerated (<=`dstCapacity`).
    221 If there is an error, the function will return an error code, which can be tested using FSE_isError(). (ex: dst buffer too small)
    222 */
    223 
    224 #endif  /* FSE_H */
    225 
    226 
    227 #if defined(FSE_STATIC_LINKING_ONLY) && !defined(FSE_H_FSE_STATIC_LINKING_ONLY)
    228 #define FSE_H_FSE_STATIC_LINKING_ONLY
    229 #include "bitstream.h"
    230 
    231 /* *****************************************
    232 *  Static allocation
    233 *******************************************/
    234 /* FSE buffer bounds */
    235 #define FSE_NCOUNTBOUND 512
    236 #define FSE_BLOCKBOUND(size) ((size) + ((size)>>7) + 4 /* fse states */ + sizeof(size_t) /* bitContainer */)
    237 #define FSE_COMPRESSBOUND(size) (FSE_NCOUNTBOUND + FSE_BLOCKBOUND(size))   /* Macro version, useful for static allocation */
    238 
    239 /* It is possible to statically allocate FSE CTable/DTable as a table of FSE_CTable/FSE_DTable using below macros */
    240 #define FSE_CTABLE_SIZE_U32(maxTableLog, maxSymbolValue)   (1 + (1<<((maxTableLog)-1)) + (((maxSymbolValue)+1)*2))
    241 #define FSE_DTABLE_SIZE_U32(maxTableLog)                   (1 + (1<<(maxTableLog)))
    242 
    243 /* or use the size to malloc() space directly. Pay attention to alignment restrictions though */
    244 #define FSE_CTABLE_SIZE(maxTableLog, maxSymbolValue)   (FSE_CTABLE_SIZE_U32(maxTableLog, maxSymbolValue) * sizeof(FSE_CTable))
    245 #define FSE_DTABLE_SIZE(maxTableLog)                   (FSE_DTABLE_SIZE_U32(maxTableLog) * sizeof(FSE_DTable))
    246 
    247 
    248 /* *****************************************
    249  *  FSE advanced API
    250  ***************************************** */
    251 
    252 unsigned FSE_optimalTableLog_internal(unsigned maxTableLog, size_t srcSize, unsigned maxSymbolValue, unsigned minus);
    253 /**< same as FSE_optimalTableLog(), which used `minus==2` */
    254 
    255 size_t FSE_buildCTable_rle (FSE_CTable* ct, unsigned char symbolValue);
    256 /**< build a fake FSE_CTable, designed to compress always the same symbolValue */
    257 
    258 /* FSE_buildCTable_wksp() :
    259  * Same as FSE_buildCTable(), but using an externally allocated scratch buffer (`workSpace`).
    260  * `wkspSize` must be >= `FSE_BUILD_CTABLE_WORKSPACE_SIZE_U32(maxSymbolValue, tableLog)` of `unsigned`.
    261  * See FSE_buildCTable_wksp() for breakdown of workspace usage.
    262  */
    263 #define FSE_BUILD_CTABLE_WORKSPACE_SIZE_U32(maxSymbolValue, tableLog) (((maxSymbolValue + 2) + (1ull << (tableLog)))/2 + sizeof(U64)/sizeof(U32) /* additional 8 bytes for potential table overwrite */)
    264 #define FSE_BUILD_CTABLE_WORKSPACE_SIZE(maxSymbolValue, tableLog) (sizeof(unsigned) * FSE_BUILD_CTABLE_WORKSPACE_SIZE_U32(maxSymbolValue, tableLog))
    265 size_t FSE_buildCTable_wksp(FSE_CTable* ct, const short* normalizedCounter, unsigned maxSymbolValue, unsigned tableLog, void* workSpace, size_t wkspSize);
    266 
    267 #define FSE_BUILD_DTABLE_WKSP_SIZE(maxTableLog, maxSymbolValue) (sizeof(short) * (maxSymbolValue + 1) + (1ULL << maxTableLog) + 8)
    268 #define FSE_BUILD_DTABLE_WKSP_SIZE_U32(maxTableLog, maxSymbolValue) ((FSE_BUILD_DTABLE_WKSP_SIZE(maxTableLog, maxSymbolValue) + sizeof(unsigned) - 1) / sizeof(unsigned))
    269 FSE_PUBLIC_API size_t FSE_buildDTable_wksp(FSE_DTable* dt, const short* normalizedCounter, unsigned maxSymbolValue, unsigned tableLog, void* workSpace, size_t wkspSize);
    270 /**< Same as FSE_buildDTable(), using an externally allocated `workspace` produced with `FSE_BUILD_DTABLE_WKSP_SIZE_U32(maxSymbolValue)` */
    271 
    272 #define FSE_DECOMPRESS_WKSP_SIZE_U32(maxTableLog, maxSymbolValue) (FSE_DTABLE_SIZE_U32(maxTableLog) + 1 + FSE_BUILD_DTABLE_WKSP_SIZE_U32(maxTableLog, maxSymbolValue) + (FSE_MAX_SYMBOL_VALUE + 1) / 2 + 1)
    273 #define FSE_DECOMPRESS_WKSP_SIZE(maxTableLog, maxSymbolValue) (FSE_DECOMPRESS_WKSP_SIZE_U32(maxTableLog, maxSymbolValue) * sizeof(unsigned))
    274 size_t FSE_decompress_wksp_bmi2(void* dst, size_t dstCapacity, const void* cSrc, size_t cSrcSize, unsigned maxLog, void* workSpace, size_t wkspSize, int bmi2);
    275 /**< same as FSE_decompress(), using an externally allocated `workSpace` produced with `FSE_DECOMPRESS_WKSP_SIZE_U32(maxLog, maxSymbolValue)`.
    276  * Set bmi2 to 1 if your CPU supports BMI2 or 0 if it doesn't */
    277 
    278 typedef enum {
    279    FSE_repeat_none,  /**< Cannot use the previous table */
    280    FSE_repeat_check, /**< Can use the previous table but it must be checked */
    281    FSE_repeat_valid  /**< Can use the previous table and it is assumed to be valid */
    282  } FSE_repeat;
    283 
    284 /* *****************************************
    285 *  FSE symbol compression API
    286 *******************************************/
    287 /*!
    288    This API consists of small unitary functions, which highly benefit from being inlined.
    289    Hence their body are included in next section.
    290 */
    291 typedef struct {
    292     ptrdiff_t   value;
    293     const void* stateTable;
    294     const void* symbolTT;
    295     unsigned    stateLog;
    296 } FSE_CState_t;
    297 
    298 static void FSE_initCState(FSE_CState_t* CStatePtr, const FSE_CTable* ct);
    299 
    300 static void FSE_encodeSymbol(BIT_CStream_t* bitC, FSE_CState_t* CStatePtr, unsigned symbol);
    301 
    302 static void FSE_flushCState(BIT_CStream_t* bitC, const FSE_CState_t* CStatePtr);
    303 
    304 /**<
    305 These functions are inner components of FSE_compress_usingCTable().
    306 They allow the creation of custom streams, mixing multiple tables and bit sources.
    307 
    308 A key property to keep in mind is that encoding and decoding are done **in reverse direction**.
    309 So the first symbol you will encode is the last you will decode, like a LIFO stack.
    310 
    311 You will need a few variables to track your CStream. They are :
    312 
    313 FSE_CTable    ct;         // Provided by FSE_buildCTable()
    314 BIT_CStream_t bitStream;  // bitStream tracking structure
    315 FSE_CState_t  state;      // State tracking structure (can have several)
    316 
    317 
    318 The first thing to do is to init bitStream and state.
    319     size_t errorCode = BIT_initCStream(&bitStream, dstBuffer, maxDstSize);
    320     FSE_initCState(&state, ct);
    321 
    322 Note that BIT_initCStream() can produce an error code, so its result should be tested, using FSE_isError();
    323 You can then encode your input data, byte after byte.
    324 FSE_encodeSymbol() outputs a maximum of 'tableLog' bits at a time.
    325 Remember decoding will be done in reverse direction.
    326     FSE_encodeByte(&bitStream, &state, symbol);
    327 
    328 At any time, you can also add any bit sequence.
    329 Note : maximum allowed nbBits is 25, for compatibility with 32-bits decoders
    330     BIT_addBits(&bitStream, bitField, nbBits);
    331 
    332 The above methods don't commit data to memory, they just store it into local register, for speed.
    333 Local register size is 64-bits on 64-bits systems, 32-bits on 32-bits systems (size_t).
    334 Writing data to memory is a manual operation, performed by the flushBits function.
    335     BIT_flushBits(&bitStream);
    336 
    337 Your last FSE encoding operation shall be to flush your last state value(s).
    338     FSE_flushState(&bitStream, &state);
    339 
    340 Finally, you must close the bitStream.
    341 The function returns the size of CStream in bytes.
    342 If data couldn't fit into dstBuffer, it will return a 0 ( == not compressible)
    343 If there is an error, it returns an errorCode (which can be tested using FSE_isError()).
    344     size_t size = BIT_closeCStream(&bitStream);
    345 */
    346 
    347 
    348 /* *****************************************
    349 *  FSE symbol decompression API
    350 *******************************************/
    351 typedef struct {
    352     size_t      state;
    353     const void* table;   /* precise table may vary, depending on U16 */
    354 } FSE_DState_t;
    355 
    356 
    357 static void     FSE_initDState(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD, const FSE_DTable* dt);
    358 
    359 static unsigned char FSE_decodeSymbol(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD);
    360 
    361 static unsigned FSE_endOfDState(const FSE_DState_t* DStatePtr);
    362 
    363 /**<
    364 Let's now decompose FSE_decompress_usingDTable() into its unitary components.
    365 You will decode FSE-encoded symbols from the bitStream,
    366 and also any other bitFields you put in, **in reverse order**.
    367 
    368 You will need a few variables to track your bitStream. They are :
    369 
    370 BIT_DStream_t DStream;    // Stream context
    371 FSE_DState_t  DState;     // State context. Multiple ones are possible
    372 FSE_DTable*   DTablePtr;  // Decoding table, provided by FSE_buildDTable()
    373 
    374 The first thing to do is to init the bitStream.
    375     errorCode = BIT_initDStream(&DStream, srcBuffer, srcSize);
    376 
    377 You should then retrieve your initial state(s)
    378 (in reverse flushing order if you have several ones) :
    379     errorCode = FSE_initDState(&DState, &DStream, DTablePtr);
    380 
    381 You can then decode your data, symbol after symbol.
    382 For information the maximum number of bits read by FSE_decodeSymbol() is 'tableLog'.
    383 Keep in mind that symbols are decoded in reverse order, like a LIFO stack (last in, first out).
    384     unsigned char symbol = FSE_decodeSymbol(&DState, &DStream);
    385 
    386 You can retrieve any bitfield you eventually stored into the bitStream (in reverse order)
    387 Note : maximum allowed nbBits is 25, for 32-bits compatibility
    388     size_t bitField = BIT_readBits(&DStream, nbBits);
    389 
    390 All above operations only read from local register (which size depends on size_t).
    391 Refueling the register from memory is manually performed by the reload method.
    392     endSignal = FSE_reloadDStream(&DStream);
    393 
    394 BIT_reloadDStream() result tells if there is still some more data to read from DStream.
    395 BIT_DStream_unfinished : there is still some data left into the DStream.
    396 BIT_DStream_endOfBuffer : Dstream reached end of buffer. Its container may no longer be completely filled.
    397 BIT_DStream_completed : Dstream reached its exact end, corresponding in general to decompression completed.
    398 BIT_DStream_tooFar : Dstream went too far. Decompression result is corrupted.
    399 
    400 When reaching end of buffer (BIT_DStream_endOfBuffer), progress slowly, notably if you decode multiple symbols per loop,
    401 to properly detect the exact end of stream.
    402 After each decoded symbol, check if DStream is fully consumed using this simple test :
    403     BIT_reloadDStream(&DStream) >= BIT_DStream_completed
    404 
    405 When it's done, verify decompression is fully completed, by checking both DStream and the relevant states.
    406 Checking if DStream has reached its end is performed by :
    407     BIT_endOfDStream(&DStream);
    408 Check also the states. There might be some symbols left there, if some high probability ones (>50%) are possible.
    409     FSE_endOfDState(&DState);
    410 */
    411 
    412 
    413 /* *****************************************
    414 *  FSE unsafe API
    415 *******************************************/
    416 static unsigned char FSE_decodeSymbolFast(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD);
    417 /* faster, but works only if nbBits is always >= 1 (otherwise, result will be corrupted) */
    418 
    419 
    420 /* *****************************************
    421 *  Implementation of inlined functions
    422 *******************************************/
    423 typedef struct {
    424     int deltaFindState;
    425     U32 deltaNbBits;
    426 } FSE_symbolCompressionTransform; /* total 8 bytes */
    427 
    428 MEM_STATIC void FSE_initCState(FSE_CState_t* statePtr, const FSE_CTable* ct)
    429 {
    430     const void* ptr = ct;
    431     const U16* u16ptr = (const U16*) ptr;
    432     const U32 tableLog = MEM_read16(ptr);
    433     statePtr->value = (ptrdiff_t)1<<tableLog;
    434     statePtr->stateTable = u16ptr+2;
    435     statePtr->symbolTT = ct + 1 + (tableLog ? (1<<(tableLog-1)) : 1);
    436     statePtr->stateLog = tableLog;
    437 }
    438 
    439 
    440 /*! FSE_initCState2() :
    441 *   Same as FSE_initCState(), but the first symbol to include (which will be the last to be read)
    442 *   uses the smallest state value possible, saving the cost of this symbol */
    443 MEM_STATIC void FSE_initCState2(FSE_CState_t* statePtr, const FSE_CTable* ct, U32 symbol)
    444 {
    445     FSE_initCState(statePtr, ct);
    446     {   const FSE_symbolCompressionTransform symbolTT = ((const FSE_symbolCompressionTransform*)(statePtr->symbolTT))[symbol];
    447         const U16* stateTable = (const U16*)(statePtr->stateTable);
    448         U32 nbBitsOut  = (U32)((symbolTT.deltaNbBits + (1<<15)) >> 16);
    449         statePtr->value = (nbBitsOut << 16) - symbolTT.deltaNbBits;
    450         statePtr->value = stateTable[(statePtr->value >> nbBitsOut) + symbolTT.deltaFindState];
    451     }
    452 }
    453 
    454 MEM_STATIC void FSE_encodeSymbol(BIT_CStream_t* bitC, FSE_CState_t* statePtr, unsigned symbol)
    455 {
    456     FSE_symbolCompressionTransform const symbolTT = ((const FSE_symbolCompressionTransform*)(statePtr->symbolTT))[symbol];
    457     const U16* const stateTable = (const U16*)(statePtr->stateTable);
    458     U32 const nbBitsOut  = (U32)((statePtr->value + symbolTT.deltaNbBits) >> 16);
    459     BIT_addBits(bitC, (BitContainerType)statePtr->value, nbBitsOut);
    460     statePtr->value = stateTable[ (statePtr->value >> nbBitsOut) + symbolTT.deltaFindState];
    461 }
    462 
    463 MEM_STATIC void FSE_flushCState(BIT_CStream_t* bitC, const FSE_CState_t* statePtr)
    464 {
    465     BIT_addBits(bitC, (BitContainerType)statePtr->value, statePtr->stateLog);
    466     BIT_flushBits(bitC);
    467 }
    468 
    469 
    470 /* FSE_getMaxNbBits() :
    471  * Approximate maximum cost of a symbol, in bits.
    472  * Fractional get rounded up (i.e. a symbol with a normalized frequency of 3 gives the same result as a frequency of 2)
    473  * note 1 : assume symbolValue is valid (<= maxSymbolValue)
    474  * note 2 : if freq[symbolValue]==0, @return a fake cost of tableLog+1 bits */
    475 MEM_STATIC U32 FSE_getMaxNbBits(const void* symbolTTPtr, U32 symbolValue)
    476 {
    477     const FSE_symbolCompressionTransform* symbolTT = (const FSE_symbolCompressionTransform*) symbolTTPtr;
    478     return (symbolTT[symbolValue].deltaNbBits + ((1<<16)-1)) >> 16;
    479 }
    480 
    481 /* FSE_bitCost() :
    482  * Approximate symbol cost, as fractional value, using fixed-point format (accuracyLog fractional bits)
    483  * note 1 : assume symbolValue is valid (<= maxSymbolValue)
    484  * note 2 : if freq[symbolValue]==0, @return a fake cost of tableLog+1 bits */
    485 MEM_STATIC U32 FSE_bitCost(const void* symbolTTPtr, U32 tableLog, U32 symbolValue, U32 accuracyLog)
    486 {
    487     const FSE_symbolCompressionTransform* symbolTT = (const FSE_symbolCompressionTransform*) symbolTTPtr;
    488     U32 const minNbBits = symbolTT[symbolValue].deltaNbBits >> 16;
    489     U32 const threshold = (minNbBits+1) << 16;
    490     assert(tableLog < 16);
    491     assert(accuracyLog < 31-tableLog);  /* ensure enough room for renormalization double shift */
    492     {   U32 const tableSize = 1 << tableLog;
    493         U32 const deltaFromThreshold = threshold - (symbolTT[symbolValue].deltaNbBits + tableSize);
    494         U32 const normalizedDeltaFromThreshold = (deltaFromThreshold << accuracyLog) >> tableLog;   /* linear interpolation (very approximate) */
    495         U32 const bitMultiplier = 1 << accuracyLog;
    496         assert(symbolTT[symbolValue].deltaNbBits + tableSize <= threshold);
    497         assert(normalizedDeltaFromThreshold <= bitMultiplier);
    498         return (minNbBits+1)*bitMultiplier - normalizedDeltaFromThreshold;
    499     }
    500 }
    501 
    502 
    503 /* ======    Decompression    ====== */
    504 
    505 typedef struct {
    506     U16 tableLog;
    507     U16 fastMode;
    508 } FSE_DTableHeader;   /* sizeof U32 */
    509 
    510 typedef struct
    511 {
    512     unsigned short newState;
    513     unsigned char  symbol;
    514     unsigned char  nbBits;
    515 } FSE_decode_t;   /* size == U32 */
    516 
    517 MEM_STATIC void FSE_initDState(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD, const FSE_DTable* dt)
    518 {
    519     const void* ptr = dt;
    520     const FSE_DTableHeader* const DTableH = (const FSE_DTableHeader*)ptr;
    521     DStatePtr->state = BIT_readBits(bitD, DTableH->tableLog);
    522     BIT_reloadDStream(bitD);
    523     DStatePtr->table = dt + 1;
    524 }
    525 
    526 MEM_STATIC BYTE FSE_peekSymbol(const FSE_DState_t* DStatePtr)
    527 {
    528     FSE_decode_t const DInfo = ((const FSE_decode_t*)(DStatePtr->table))[DStatePtr->state];
    529     return DInfo.symbol;
    530 }
    531 
    532 MEM_STATIC void FSE_updateState(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD)
    533 {
    534     FSE_decode_t const DInfo = ((const FSE_decode_t*)(DStatePtr->table))[DStatePtr->state];
    535     U32 const nbBits = DInfo.nbBits;
    536     size_t const lowBits = BIT_readBits(bitD, nbBits);
    537     DStatePtr->state = DInfo.newState + lowBits;
    538 }
    539 
    540 MEM_STATIC BYTE FSE_decodeSymbol(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD)
    541 {
    542     FSE_decode_t const DInfo = ((const FSE_decode_t*)(DStatePtr->table))[DStatePtr->state];
    543     U32 const nbBits = DInfo.nbBits;
    544     BYTE const symbol = DInfo.symbol;
    545     size_t const lowBits = BIT_readBits(bitD, nbBits);
    546 
    547     DStatePtr->state = DInfo.newState + lowBits;
    548     return symbol;
    549 }
    550 
    551 /*! FSE_decodeSymbolFast() :
    552     unsafe, only works if no symbol has a probability > 50% */
    553 MEM_STATIC BYTE FSE_decodeSymbolFast(FSE_DState_t* DStatePtr, BIT_DStream_t* bitD)
    554 {
    555     FSE_decode_t const DInfo = ((const FSE_decode_t*)(DStatePtr->table))[DStatePtr->state];
    556     U32 const nbBits = DInfo.nbBits;
    557     BYTE const symbol = DInfo.symbol;
    558     size_t const lowBits = BIT_readBitsFast(bitD, nbBits);
    559 
    560     DStatePtr->state = DInfo.newState + lowBits;
    561     return symbol;
    562 }
    563 
    564 MEM_STATIC unsigned FSE_endOfDState(const FSE_DState_t* DStatePtr)
    565 {
    566     return DStatePtr->state == 0;
    567 }
    568 
    569 
    570 
    571 #ifndef FSE_COMMONDEFS_ONLY
    572 
    573 /* **************************************************************
    574 *  Tuning parameters
    575 ****************************************************************/
    576 /*!MEMORY_USAGE :
    577 *  Memory usage formula : N->2^N Bytes (examples : 10 -> 1KB; 12 -> 4KB ; 16 -> 64KB; 20 -> 1MB; etc.)
    578 *  Increasing memory usage improves compression ratio
    579 *  Reduced memory usage can improve speed, due to cache effect
    580 *  Recommended max value is 14, for 16KB, which nicely fits into Intel x86 L1 cache */
    581 #ifndef FSE_MAX_MEMORY_USAGE
    582 #  define FSE_MAX_MEMORY_USAGE 14
    583 #endif
    584 #ifndef FSE_DEFAULT_MEMORY_USAGE
    585 #  define FSE_DEFAULT_MEMORY_USAGE 13
    586 #endif
    587 #if (FSE_DEFAULT_MEMORY_USAGE > FSE_MAX_MEMORY_USAGE)
    588 #  error "FSE_DEFAULT_MEMORY_USAGE must be <= FSE_MAX_MEMORY_USAGE"
    589 #endif
    590 
    591 /*!FSE_MAX_SYMBOL_VALUE :
    592 *  Maximum symbol value authorized.
    593 *  Required for proper stack allocation */
    594 #ifndef FSE_MAX_SYMBOL_VALUE
    595 #  define FSE_MAX_SYMBOL_VALUE 255
    596 #endif
    597 
    598 /* **************************************************************
    599 *  template functions type & suffix
    600 ****************************************************************/
    601 #define FSE_FUNCTION_TYPE BYTE
    602 #define FSE_FUNCTION_EXTENSION
    603 #define FSE_DECODE_TYPE FSE_decode_t
    604 
    605 
    606 #endif   /* !FSE_COMMONDEFS_ONLY */
    607 
    608 
    609 /* ***************************************************************
    610 *  Constants
    611 *****************************************************************/
    612 #define FSE_MAX_TABLELOG  (FSE_MAX_MEMORY_USAGE-2)
    613 #define FSE_MAX_TABLESIZE (1U<<FSE_MAX_TABLELOG)
    614 #define FSE_MAXTABLESIZE_MASK (FSE_MAX_TABLESIZE-1)
    615 #define FSE_DEFAULT_TABLELOG (FSE_DEFAULT_MEMORY_USAGE-2)
    616 #define FSE_MIN_TABLELOG 5
    617 
    618 #define FSE_TABLELOG_ABSOLUTE_MAX 15
    619 #if FSE_MAX_TABLELOG > FSE_TABLELOG_ABSOLUTE_MAX
    620 #  error "FSE_MAX_TABLELOG > FSE_TABLELOG_ABSOLUTE_MAX is not supported"
    621 #endif
    622 
    623 #define FSE_TABLESTEP(tableSize) (((tableSize)>>1) + ((tableSize)>>3) + 3)
    624 
    625 #endif /* FSE_STATIC_LINKING_ONLY */
    626