zlib/inftrees.c

   1 /* inftrees.c -- generate Huffman trees for efficient decoding
   2  * Copyright (C) 1995-2005 Mark Adler
   3  * For conditions of distribution and use, see copyright notice in zlib.h
   4  */
   5
   6 #include "zutil.h"
   7 #include "inftrees.h"
   8
   9 #define MAXBITS 15
  10
  11 const char inflate_copyright[] =
  12    " inflate 1.2.3 Copyright 1995-2005 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_table(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, 19, 23, 27, 31,
  62         35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
  63     static const unsigned short lext[31] = { /* Length codes 257..285 extra */
  64         16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
  65         19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 201, 196};
  66     static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
  67         1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
  68         257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
  69         8193, 12289, 16385, 24577, 0, 0};
  70     static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
  71         16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
  72         23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
  73         28, 28, 29, 29, 64, 64};
  74
  75     /*
  76        Process a set of code lengths to create a canonical Huffman code.  The
  77        code lengths are lens[0..codes-1].  Each length corresponds to the
  78        symbols 0..codes-1.  The Huffman code is generated by first sorting the
  79        symbols by length from short to long, and retaining the symbol order
  80        for codes with equal lengths.  Then the code starts with all zero bits
  81        for the first code of the shortest length, and the codes are integer
  82        increments for the same length, and zeros are appended as the length
  83        increases.  For the deflate format, these bits are stored backwards
  84        from their more natural integer increment ordering, and so when the
  85        decoding tables are built in the large loop below, the integer codes
  86        are incremented backwards.
  87
  88        This routine assumes, but does not check, that all of the entries in
  89        lens[] are in the range 0..MAXBITS.  The caller must assure this.
  90        1..MAXBITS is interpreted as that code length.  zero means that that
  91        symbol does not occur in this code.
  92
  93        The codes are sorted by computing a count of codes for each length,
  94        creating from that a table of starting indices for each length in the
  95        sorted table, and then entering the symbols in order in the sorted
  96        table.  The sorted table is work[], with that space being provided by
  97        the caller.
  98
  99        The length counts are used for other purposes as well, i.e. finding
 100        the minimum and maximum length codes, determining if there are any
 101        codes at all, checking for a valid set of lengths, and looking ahead
 102        at length counts to determine sub-table sizes when building the
 103        decoding tables.
 104      */
 105
 106     /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
 107     for (len = 0; len <= MAXBITS; len++)
 108         count[len] = 0;
 109     for (sym = 0; sym < codes; sym++)
 110         count[lens[sym]]++;
 111
 112     /* bound code lengths, force root to be within code lengths */
 113     root = *bits;
 114     for (max = MAXBITS; max >= 1; max--)
 115         if (count[max] != 0) break;
 116     if (root > max) root = max;
 117     if (max == 0) {                     /* no symbols to code at all */
 118         this.op = (unsigned char)64;    /* invalid code marker */
 119         this.bits = (unsigned char)1;
 120         this.val = (unsigned short)0;
 121         *(*table)++ = this;             /* make a table to force an error */
 122         *(*table)++ = this;
 123         *bits = 1;
 124         return 0;     /* no symbols, but wait for decoding to report error */
 125     }
 126     for (min = 1; min <= MAXBITS; min++)
 127         if (count[min] != 0) break;
 128     if (root < min) root = min;
 129
 130     /* check for an over-subscribed or incomplete set of lengths */
 131     left = 1;
 132     for (len = 1; len <= MAXBITS; len++) {
 133         left <<= 1;
 134         left -= count[len];
 135         if (left < 0) return -1;        /* over-subscribed */
 136     }
 137     if (left > 0 && (type == CODES || max != 1))
 138         return -1;                      /* incomplete set */
 139
 140     /* generate offsets into symbol table for each length for sorting */
 141     offs[1] = 0;
 142     for (len = 1; len < MAXBITS; len++)
 143         offs[len + 1] = offs[len] + count[len];
 144
 145     /* sort symbols by length, by symbol order within each length */
 146     for (sym = 0; sym < codes; sym++)
 147         if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
 148
 149     /*
 150        Create and fill in decoding tables.  In this loop, the table being
 151        filled is at next and has curr index bits.  The code being used is huff
 152        with length len.  That code is converted to an index by dropping drop
 153        bits off of the bottom.  For codes where len is less than drop + curr,
 154        those top drop + curr - len bits are incremented through all values to
 155        fill the table with replicated entries.
 156
 157        root is the number of index bits for the root table.  When len exceeds
 158        root, sub-tables are created pointed to by the root entry with an index
 159        of the low root bits of huff.  This is saved in low to check for when a
 160        new sub-table should be started.  drop is zero when the root table is
 161        being filled, and drop is root when sub-tables are being filled.
 162
 163        When a new sub-table is needed, it is necessary to look ahead in the
 164        code lengths to determine what size sub-table is needed.  The length
 165        counts are used for this, and so count[] is decremented as codes are
 166        entered in the tables.
 167
 168        used keeps track of how many table entries have been allocated from the
 169        provided *table space.  It is checked when a LENS table is being made
 170        against the space in *table, ENOUGH, minus the maximum space needed by
 171        the worst case distance code, MAXD.  This should never happen, but the
 172        sufficiency of ENOUGH has not been proven exhaustively, hence the check.
 173        This assumes that when type == LENS, bits == 9.
 174
 175        sym increments through all symbols, and the loop terminates when
 176        all codes of length max, i.e. all codes, have been processed.  This
 177        routine permits incomplete codes, so another loop after this one fills
 178        in the rest of the decoding tables with invalid code markers.
 179      */
 180
 181     /* set up for code type */
 182     switch (type) {
 183     case CODES:
 184         base = extra = work;    /* dummy value--not used */
 185         end = 19;
 186         break;
 187     case LENS:
 188         base = lbase;
 189         base -= 257;
 190         extra = lext;
 191         extra -= 257;
 192         end = 256;
 193         break;
 194     default:            /* DISTS */
 195         base = dbase;
 196         extra = dext;
 197         end = -1;
 198     }
 199
 200     /* initialize state for loop */
 201     huff = 0;                   /* starting code */
 202     sym = 0;                    /* starting code symbol */
 203     len = min;                  /* starting code length */
 204     next = *table;              /* current table to fill in */
 205     curr = root;                /* current table index bits */
 206     drop = 0;                   /* current bits to drop from code for index */
 207     low = (unsigned)(-1);       /* trigger new sub-table when len > root */
 208     used = 1U << root;          /* use root table entries */
 209     mask = used - 1;            /* mask for comparing low */
 210
 211     /* check available table space */
 212     if (type == LENS && used >= ENOUGH - MAXD)
 213         return 1;
 214
 215     /* process all codes and make table entries */
 216     for (;;) {
 217         /* create table entry */
 218         this.bits = (unsigned char)(len - drop);
 219         if ((int)(work[sym]) < end) {
 220             this.op = (unsigned char)0;
 221             this.val = work[sym];
 222         }
 223         else if ((int)(work[sym]) > end) {
 224             this.op = (unsigned char)(extra[work[sym]]);
 225             this.val = base[work[sym]];
 226         }
 227         else {
 228             this.op = (unsigned char)(32 + 64);         /* end of block */
 229             this.val = 0;
 230         }
 231
 232         /* replicate for those indices with low len bits equal to huff */
 233         incr = 1U << (len - drop);
 234         fill = 1U << curr;
 235         min = fill;                 /* save offset to next table */
 236         do {
 237             fill -= incr;
 238             next[(huff >> drop) + fill] = this;
 239         } while (fill != 0);
 240
 241         /* backwards increment the len-bit code huff */
 242         incr = 1U << (len - 1);
 243         while (huff & incr)
 244             incr >>= 1;
 245         if (incr != 0) {
 246             huff &= incr - 1;
 247             huff += incr;
 248         }
 249         else
 250             huff = 0;
 251
 252         /* go to next symbol, update count, len */
 253         sym++;
 254         if (--(count[len]) == 0) {
 255             if (len == max) break;
 256             len = lens[work[sym]];
 257         }
 258
 259         /* create new sub-table if needed */
 260         if (len > root && (huff & mask) != low) {
 261             /* if first time, transition to sub-tables */
 262             if (drop == 0)
 263                 drop = root;
 264
 265             /* increment past last table */
 266             next += min;            /* here min is 1 << curr */
 267
 268             /* determine length of next table */
 269             curr = len - drop;
 270             left = (int)(1 << curr);
 271             while (curr + drop < max) {
 272                 left -= count[curr + drop];
 273                 if (left <= 0) break;
 274                 curr++;
 275                 left <<= 1;
 276             }
 277
 278             /* check for enough space */
 279             used += 1U << curr;
 280             if (type == LENS && used >= ENOUGH - MAXD)
 281                 return 1;
 282
 283             /* point entry in root table to sub-table */
 284             low = huff & mask;
 285             (*table)[low].op = (unsigned char)curr;
 286             (*table)[low].bits = (unsigned char)root;
 287             (*table)[low].val = (unsigned short)(next - *table);
 288         }
 289     }
 290
 291     /*
 292        Fill in rest of table for incomplete codes.  This loop is similar to the
 293        loop above in incrementing huff for table indices.  It is assumed that
 294        len is equal to curr + drop, so there is no loop needed to increment
 295        through high index bits.  When the current sub-table is filled, the loop
 296        drops back to the root table to fill in any remaining entries there.
 297      */
 298     this.op = (unsigned char)64;                /* invalid code marker */
 299     this.bits = (unsigned char)(len - drop);
 300     this.val = (unsigned short)0;
 301     while (huff != 0) {
 302         /* when done with sub-table, drop back to root table */
 303         if (drop != 0 && (huff & mask) != low) {
 304             drop = 0;
 305             len = root;
 306             next = *table;
 307             this.bits = (unsigned char)len;
 308         }
 309
 310         /* put invalid code marker in table */
 311         next[huff >> drop] = this;
 312
 313         /* backwards increment the len-bit code huff */
 314         incr = 1U << (len - 1);
 315         while (huff & incr)
 316             incr >>= 1;
 317         if (incr != 0) {
 318             huff &= incr - 1;
 319             huff += incr;
 320         }
 321         else
 322             huff = 0;
 323     }
 324
 325     /* set return parameters */
 326     *table += used;
 327     *bits = root;
 328     return 0;
 329 }