1 /* inftrees.c -- generate Huffman trees for efficient decoding
2 * Copyright (C) 1995-2013 Mark Adler
3 * For conditions of distribution and use, see copyright notice in zlib.h
11 const char inflate_copyright[] =
12 " inflate 1.2.8 Copyright 1995-2013 Mark Adler ";
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.
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.
32 int ZLIB_INTERNAL inflate_table(codetype type, unsigned short FAR *lens, unsigned codes, code FAR * FAR *table, unsigned FAR *bits, unsigned short FAR *work)
34 unsigned len; /* a code's length in bits */
35 unsigned sym; /* index of code symbols */
36 unsigned min, max; /* minimum and maximum code lengths */
37 unsigned root; /* number of index bits for root table */
38 unsigned curr; /* number of index bits for current table */
39 unsigned drop; /* code bits to drop for sub-table */
40 int left; /* number of prefix codes available */
41 unsigned used; /* code entries in table used */
42 unsigned huff; /* Huffman code */
43 unsigned incr; /* for incrementing code, index */
44 unsigned fill; /* index for replicating entries */
45 unsigned low; /* low bits for current root entry */
46 unsigned mask; /* mask for low root bits */
47 code here; /* table entry for duplication */
48 code FAR *next; /* next available space in table */
49 const unsigned short FAR *base; /* base value table to use */
50 const unsigned short FAR *extra; /* extra bits table to use */
51 int end; /* use base and extra for symbol > end */
52 unsigned short count[MAXBITS+1]; /* number of codes of each length */
53 unsigned short offs[MAXBITS+1]; /* offsets in table for each length */
54 static const unsigned short lbase[31] = { /* Length codes 257..285 base */
55 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31,
56 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
57 static const unsigned short lext[31] = { /* Length codes 257..285 extra */
58 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
59 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 72, 78};
60 static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
61 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
62 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
63 8193, 12289, 16385, 24577, 0, 0};
64 static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
65 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
66 23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
67 28, 28, 29, 29, 64, 64};
70 Process a set of code lengths to create a canonical Huffman code. The
71 code lengths are lens[0..codes-1]. Each length corresponds to the
72 symbols 0..codes-1. The Huffman code is generated by first sorting the
73 symbols by length from short to long, and retaining the symbol order
74 for codes with equal lengths. Then the code starts with all zero bits
75 for the first code of the shortest length, and the codes are integer
76 increments for the same length, and zeros are appended as the length
77 increases. For the deflate format, these bits are stored backwards
78 from their more natural integer increment ordering, and so when the
79 decoding tables are built in the large loop below, the integer codes
80 are incremented backwards.
82 This routine assumes, but does not check, that all of the entries in
83 lens[] are in the range 0..MAXBITS. The caller must assure this.
84 1..MAXBITS is interpreted as that code length. zero means that that
85 symbol does not occur in this code.
87 The codes are sorted by computing a count of codes for each length,
88 creating from that a table of starting indices for each length in the
89 sorted table, and then entering the symbols in order in the sorted
90 table. The sorted table is work[], with that space being provided by
93 The length counts are used for other purposes as well, i.e. finding
94 the minimum and maximum length codes, determining if there are any
95 codes at all, checking for a valid set of lengths, and looking ahead
96 at length counts to determine sub-table sizes when building the
100 /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
101 for (len = 0; len <= MAXBITS; len++)
103 for (sym = 0; sym < codes; sym++)
106 /* bound code lengths, force root to be within code lengths */
108 for (max = MAXBITS; max >= 1; max--)
109 if (count[max] != 0) break;
110 if (root > max) root = max;
111 if (max == 0) { /* no symbols to code at all */
112 here.op = (unsigned char)64; /* invalid code marker */
113 here.bits = (unsigned char)1;
114 here.val = (unsigned short)0;
115 *(*table)++ = here; /* make a table to force an error */
118 return 0; /* no symbols, but wait for decoding to report error */
120 for (min = 1; min < max; min++)
121 if (count[min] != 0) break;
122 if (root < min) root = min;
124 /* check for an over-subscribed or incomplete set of lengths */
126 for (len = 1; len <= MAXBITS; len++) {
129 if (left < 0) return -1; /* over-subscribed */
131 if (left > 0 && (type == CODES || max != 1))
132 return -1; /* incomplete set */
134 /* generate offsets into symbol table for each length for sorting */
136 for (len = 1; len < MAXBITS; len++)
137 offs[len + 1] = offs[len] + count[len];
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;
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.
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.
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.
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 inftrees.h
166 for more information.
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.
174 /* set up for code type */
177 base = extra = work; /* dummy value--not used */
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 */
204 /* check available table space */
205 if ((type == LENS && used > ENOUGH_LENS) ||
206 (type == DISTS && used > ENOUGH_DISTS))
209 /* process all codes and make table entries */
211 /* create table entry */
212 here.bits = (unsigned char)(len - drop);
213 if ((int)(work[sym]) < end) {
214 here.op = (unsigned char)0;
215 here.val = work[sym];
217 else if ((int)(work[sym]) > end) {
218 here.op = (unsigned char)(extra[work[sym]]);
219 here.val = base[work[sym]];
222 here.op = (unsigned char)(32 + 64); /* end of block */
226 /* replicate for those indices with low len bits equal to huff */
227 incr = 1U << (len - drop);
229 min = fill; /* save offset to next table */
232 next[(huff >> drop) + fill] = here;
235 /* backwards increment the len-bit code huff */
236 incr = 1U << (len - 1);
246 /* go to next symbol, update count, len */
248 if (--(count[len]) == 0) {
249 if (len == max) break;
250 len = lens[work[sym]];
253 /* create new sub-table if needed */
254 if (len > root && (huff & mask) != low) {
255 /* if first time, transition to sub-tables */
259 /* increment past last table */
260 next += min; /* here min is 1 << curr */
262 /* determine length of next table */
264 left = (int)(1 << curr);
265 while (curr + drop < max) {
266 left -= count[curr + drop];
267 if (left <= 0) break;
272 /* check for enough space */
274 if ((type == LENS && used > ENOUGH_LENS) ||
275 (type == DISTS && used > ENOUGH_DISTS))
278 /* point entry in root table to sub-table */
280 (*table)[low].op = (unsigned char)curr;
281 (*table)[low].bits = (unsigned char)root;
282 (*table)[low].val = (unsigned short)(next - *table);
286 /* fill in remaining table entry if code is incomplete (guaranteed to have
287 at most one remaining entry, since if the code is incomplete, the
288 maximum code length that was allowed to get this far is one bit) */
290 here.op = (unsigned char)64; /* invalid code marker */
291 here.bits = (unsigned char)(len - drop);
292 here.val = (unsigned short)0;
296 /* set return parameters */