1  /* inftree9.c -- generate Huffman trees for efficient decoding
       2   * Copyright (C) 1995-2017 Mark Adler
       3   * For conditions of distribution and use, see copyright notice in zlib.h
       4   */
       5  
       6  #include "zutil.h"
       7  #include "inftree9.h"
       8  
       9  #define MAXBITS 15
      10  
      11  const char inflate9_copyright[] =
      12     " inflate9 1.2.11 Copyright 1995-2017 Mark Adler ";
      13  /*
      14    If you use the zlib library in a product, an acknowledgment is welcome
      15    in the documentation of your product. If for some reason you cannot
      16    include such an acknowledgment, I would appreciate that you keep this
      17    copyright string in the executable of your product.
      18   */
      19  
      20  /*
      21     Build a set of tables to decode the provided canonical Huffman code.
      22     The code lengths are lens[0..codes-1].  The result starts at *table,
      23     whose indices are 0..2^bits-1.  work is a writable array of at least
      24     lens shorts, which is used as a work area.  type is the type of code
      25     to be generated, CODES, LENS, or DISTS.  On return, zero is success,
      26     -1 is an invalid code, and +1 means that ENOUGH isn't enough.  table
      27     on return points to the next available entry's address.  bits is the
      28     requested root table index bits, and on return it is the actual root
      29     table index bits.  It will differ if the request is greater than the
      30     longest code or if it is less than the shortest code.
      31   */
      32  int inflate_table9(type, lens, codes, table, bits, work)
      33  codetype type;
      34  unsigned short FAR *lens;
      35  unsigned codes;
      36  code FAR * FAR *table;
      37  unsigned FAR *bits;
      38  unsigned short FAR *work;
      39  {
      40      unsigned len;               /* a code's length in bits */
      41      unsigned sym;               /* index of code symbols */
      42      unsigned min, max;          /* minimum and maximum code lengths */
      43      unsigned root;              /* number of index bits for root table */
      44      unsigned curr;              /* number of index bits for current table */
      45      unsigned drop;              /* code bits to drop for sub-table */
      46      int left;                   /* number of prefix codes available */
      47      unsigned used;              /* code entries in table used */
      48      unsigned huff;              /* Huffman code */
      49      unsigned incr;              /* for incrementing code, index */
      50      unsigned fill;              /* index for replicating entries */
      51      unsigned low;               /* low bits for current root entry */
      52      unsigned mask;              /* mask for low root bits */
      53      code this;                  /* table entry for duplication */
      54      code FAR *next;             /* next available space in table */
      55      const unsigned short FAR *base;     /* base value table to use */
      56      const unsigned short FAR *extra;    /* extra bits table to use */
      57      int end;                    /* use base and extra for symbol > end */
      58      unsigned short count[MAXBITS+1];    /* number of codes of each length */
      59      unsigned short offs[MAXBITS+1];     /* offsets in table for each length */
      60      static const unsigned short lbase[31] = { /* Length codes 257..285 base */
      61          3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17,
      62          19, 23, 27, 31, 35, 43, 51, 59, 67, 83, 99, 115,
      63          131, 163, 195, 227, 3, 0, 0};
      64      static const unsigned short lext[31] = { /* Length codes 257..285 extra */
      65          128, 128, 128, 128, 128, 128, 128, 128, 129, 129, 129, 129,
      66          130, 130, 130, 130, 131, 131, 131, 131, 132, 132, 132, 132,
      67          133, 133, 133, 133, 144, 77, 202};
      68      static const unsigned short dbase[32] = { /* Distance codes 0..31 base */
      69          1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49,
      70          65, 97, 129, 193, 257, 385, 513, 769, 1025, 1537, 2049, 3073,
      71          4097, 6145, 8193, 12289, 16385, 24577, 32769, 49153};
      72      static const unsigned short dext[32] = { /* Distance codes 0..31 extra */
      73          128, 128, 128, 128, 129, 129, 130, 130, 131, 131, 132, 132,
      74          133, 133, 134, 134, 135, 135, 136, 136, 137, 137, 138, 138,
      75          139, 139, 140, 140, 141, 141, 142, 142};
      76  
      77      /*
      78         Process a set of code lengths to create a canonical Huffman code.  The
      79         code lengths are lens[0..codes-1].  Each length corresponds to the
      80         symbols 0..codes-1.  The Huffman code is generated by first sorting the
      81         symbols by length from short to long, and retaining the symbol order
      82         for codes with equal lengths.  Then the code starts with all zero bits
      83         for the first code of the shortest length, and the codes are integer
      84         increments for the same length, and zeros are appended as the length
      85         increases.  For the deflate format, these bits are stored backwards
      86         from their more natural integer increment ordering, and so when the
      87         decoding tables are built in the large loop below, the integer codes
      88         are incremented backwards.
      89  
      90         This routine assumes, but does not check, that all of the entries in
      91         lens[] are in the range 0..MAXBITS.  The caller must assure this.
      92         1..MAXBITS is interpreted as that code length.  zero means that that
      93         symbol does not occur in this code.
      94  
      95         The codes are sorted by computing a count of codes for each length,
      96         creating from that a table of starting indices for each length in the
      97         sorted table, and then entering the symbols in order in the sorted
      98         table.  The sorted table is work[], with that space being provided by
      99         the caller.
     100  
     101         The length counts are used for other purposes as well, i.e. finding
     102         the minimum and maximum length codes, determining if there are any
     103         codes at all, checking for a valid set of lengths, and looking ahead
     104         at length counts to determine sub-table sizes when building the
     105         decoding tables.
     106       */
     107  
     108      /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
     109      for (len = 0; len <= MAXBITS; len++)
     110          count[len] = 0;
     111      for (sym = 0; sym < codes; sym++)
     112          count[lens[sym]]++;
     113  
     114      /* bound code lengths, force root to be within code lengths */
     115      root = *bits;
     116      for (max = MAXBITS; max >= 1; max--)
     117          if (count[max] != 0) break;
     118      if (root > max) root = max;
     119      if (max == 0) return -1;            /* no codes! */
     120      for (min = 1; min <= MAXBITS; min++)
     121          if (count[min] != 0) break;
     122      if (root < min) root = min;
     123  
     124      /* check for an over-subscribed or incomplete set of lengths */
     125      left = 1;
     126      for (len = 1; len <= MAXBITS; len++) {
     127          left <<= 1;
     128          left -= count[len];
     129          if (left < 0) return -1;        /* over-subscribed */
     130      }
     131      if (left > 0 && (type == CODES || max != 1))
     132          return -1;                      /* incomplete set */
     133  
     134      /* generate offsets into symbol table for each length for sorting */
     135      offs[1] = 0;
     136      for (len = 1; len < MAXBITS; len++)
     137          offs[len + 1] = offs[len] + count[len];
     138  
     139      /* sort symbols by length, by symbol order within each length */
     140      for (sym = 0; sym < codes; sym++)
     141          if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
     142  
     143      /*
     144         Create and fill in decoding tables.  In this loop, the table being
     145         filled is at next and has curr index bits.  The code being used is huff
     146         with length len.  That code is converted to an index by dropping drop
     147         bits off of the bottom.  For codes where len is less than drop + curr,
     148         those top drop + curr - len bits are incremented through all values to
     149         fill the table with replicated entries.
     150  
     151         root is the number of index bits for the root table.  When len exceeds
     152         root, sub-tables are created pointed to by the root entry with an index
     153         of the low root bits of huff.  This is saved in low to check for when a
     154         new sub-table should be started.  drop is zero when the root table is
     155         being filled, and drop is root when sub-tables are being filled.
     156  
     157         When a new sub-table is needed, it is necessary to look ahead in the
     158         code lengths to determine what size sub-table is needed.  The length
     159         counts are used for this, and so count[] is decremented as codes are
     160         entered in the tables.
     161  
     162         used keeps track of how many table entries have been allocated from the
     163         provided *table space.  It is checked for LENS and DIST tables against
     164         the constants ENOUGH_LENS and ENOUGH_DISTS to guard against changes in
     165         the initial root table size constants.  See the comments in inftree9.h
     166         for more information.
     167  
     168         sym increments through all symbols, and the loop terminates when
     169         all codes of length max, i.e. all codes, have been processed.  This
     170         routine permits incomplete codes, so another loop after this one fills
     171         in the rest of the decoding tables with invalid code markers.
     172       */
     173  
     174      /* set up for code type */
     175      switch (type) {
     176      case CODES:
     177          base = extra = work;    /* dummy value--not used */
     178          end = 19;
     179          break;
     180      case LENS:
     181          base = lbase;
     182          base -= 257;
     183          extra = lext;
     184          extra -= 257;
     185          end = 256;
     186          break;
     187      default:            /* DISTS */
     188          base = dbase;
     189          extra = dext;
     190          end = -1;
     191      }
     192  
     193      /* initialize state for loop */
     194      huff = 0;                   /* starting code */
     195      sym = 0;                    /* starting code symbol */
     196      len = min;                  /* starting code length */
     197      next = *table;              /* current table to fill in */
     198      curr = root;                /* current table index bits */
     199      drop = 0;                   /* current bits to drop from code for index */
     200      low = (unsigned)(-1);       /* trigger new sub-table when len > root */
     201      used = 1U << root;          /* use root table entries */
     202      mask = used - 1;            /* mask for comparing low */
     203  
     204      /* check available table space */
     205      if ((type == LENS && used >= ENOUGH_LENS) ||
     206          (type == DISTS && used >= ENOUGH_DISTS))
     207          return 1;
     208  
     209      /* process all codes and make table entries */
     210      for (;;) {
     211          /* create table entry */
     212          this.bits = (unsigned char)(len - drop);
     213          if ((int)(work[sym]) < end) {
     214              this.op = (unsigned char)0;
     215              this.val = work[sym];
     216          }
     217          else if ((int)(work[sym]) > end) {
     218              this.op = (unsigned char)(extra[work[sym]]);
     219              this.val = base[work[sym]];
     220          }
     221          else {
     222              this.op = (unsigned char)(32 + 64);         /* end of block */
     223              this.val = 0;
     224          }
     225  
     226          /* replicate for those indices with low len bits equal to huff */
     227          incr = 1U << (len - drop);
     228          fill = 1U << curr;
     229          do {
     230              fill -= incr;
     231              next[(huff >> drop) + fill] = this;
     232          } while (fill != 0);
     233  
     234          /* backwards increment the len-bit code huff */
     235          incr = 1U << (len - 1);
     236          while (huff & incr)
     237              incr >>= 1;
     238          if (incr != 0) {
     239              huff &= incr - 1;
     240              huff += incr;
     241          }
     242          else
     243              huff = 0;
     244  
     245          /* go to next symbol, update count, len */
     246          sym++;
     247          if (--(count[len]) == 0) {
     248              if (len == max) break;
     249              len = lens[work[sym]];
     250          }
     251  
     252          /* create new sub-table if needed */
     253          if (len > root && (huff & mask) != low) {
     254              /* if first time, transition to sub-tables */
     255              if (drop == 0)
     256                  drop = root;
     257  
     258              /* increment past last table */
     259              next += 1U << curr;
     260  
     261              /* determine length of next table */
     262              curr = len - drop;
     263              left = (int)(1 << curr);
     264              while (curr + drop < max) {
     265                  left -= count[curr + drop];
     266                  if (left <= 0) break;
     267                  curr++;
     268                  left <<= 1;
     269              }
     270  
     271              /* check for enough space */
     272              used += 1U << curr;
     273              if ((type == LENS && used >= ENOUGH_LENS) ||
     274                  (type == DISTS && used >= ENOUGH_DISTS))
     275                  return 1;
     276  
     277              /* point entry in root table to sub-table */
     278              low = huff & mask;
     279              (*table)[low].op = (unsigned char)curr;
     280              (*table)[low].bits = (unsigned char)root;
     281              (*table)[low].val = (unsigned short)(next - *table);
     282          }
     283      }
     284  
     285      /*
     286         Fill in rest of table for incomplete codes.  This loop is similar to the
     287         loop above in incrementing huff for table indices.  It is assumed that
     288         len is equal to curr + drop, so there is no loop needed to increment
     289         through high index bits.  When the current sub-table is filled, the loop
     290         drops back to the root table to fill in any remaining entries there.
     291       */
     292      this.op = (unsigned char)64;                /* invalid code marker */
     293      this.bits = (unsigned char)(len - drop);
     294      this.val = (unsigned short)0;
     295      while (huff != 0) {
     296          /* when done with sub-table, drop back to root table */
     297          if (drop != 0 && (huff & mask) != low) {
     298              drop = 0;
     299              len = root;
     300              next = *table;
     301              curr = root;
     302              this.bits = (unsigned char)len;
     303          }
     304  
     305          /* put invalid code marker in table */
     306          next[huff >> drop] = this;
     307  
     308          /* backwards increment the len-bit code huff */
     309          incr = 1U << (len - 1);
     310          while (huff & incr)
     311              incr >>= 1;
     312          if (incr != 0) {
     313              huff &= incr - 1;
     314              huff += incr;
     315          }
     316          else
     317              huff = 0;
     318      }
     319  
     320      /* set return parameters */
     321      *table += used;
     322      *bits = root;
     323      return 0;
     324  }