1
/* inftrees.c -- generate Huffman trees for efficient decoding
2
* Copyright (C) 1995-2003 Mark Adler
3
* For conditions of distribution and use, see copyright notice in zlib.h
11
const char inflate_copyright[] =
12
" inflate 1.2.1 Copyright 1995-2003 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 inflate_table(type, lens, codes, table, bits, work)
34
unsigned short FAR *lens;
36
code FAR * FAR *table;
38
unsigned short FAR *work;
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, 76, 66};
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};
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.
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.
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
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
106
/* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
107
for (len = 0; len <= MAXBITS; len++)
109
for (sym = 0; sym < codes; sym++)
112
/* bound code lengths, force root to be within code lengths */
114
for (max = MAXBITS; max >= 1; max--)
115
if (count[max] != 0) break;
116
if (root > max) root = max;
117
if (max == 0) return -1; /* no codes! */
118
for (min = 1; min <= MAXBITS; min++)
119
if (count[min] != 0) break;
120
if (root < min) root = min;
122
/* check for an over-subscribed or incomplete set of lengths */
124
for (len = 1; len <= MAXBITS; len++) {
127
if (left < 0) return -1; /* over-subscribed */
129
if (left > 0 && (type == CODES || (codes - count[0] != 1)))
130
return -1; /* incomplete set */
132
/* generate offsets into symbol table for each length for sorting */
134
for (len = 1; len < MAXBITS; len++)
135
offs[len + 1] = offs[len] + count[len];
137
/* sort symbols by length, by symbol order within each length */
138
for (sym = 0; sym < codes; sym++)
139
if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
142
Create and fill in decoding tables. In this loop, the table being
143
filled is at next and has curr index bits. The code being used is huff
144
with length len. That code is converted to an index by dropping drop
145
bits off of the bottom. For codes where len is less than drop + curr,
146
those top drop + curr - len bits are incremented through all values to
147
fill the table with replicated entries.
149
root is the number of index bits for the root table. When len exceeds
150
root, sub-tables are created pointed to by the root entry with an index
151
of the low root bits of huff. This is saved in low to check for when a
152
new sub-table should be started. drop is zero when the root table is
153
being filled, and drop is root when sub-tables are being filled.
155
When a new sub-table is needed, it is necessary to look ahead in the
156
code lengths to determine what size sub-table is needed. The length
157
counts are used for this, and so count[] is decremented as codes are
158
entered in the tables.
160
used keeps track of how many table entries have been allocated from the
161
provided *table space. It is checked when a LENS table is being made
162
against the space in *table, ENOUGH, minus the maximum space needed by
163
the worst case distance code, MAXD. This should never happen, but the
164
sufficiency of ENOUGH has not been proven exhaustively, hence the check.
165
This assumes that when type == LENS, bits == 9.
167
sym increments through all symbols, and the loop terminates when
168
all codes of length max, i.e. all codes, have been processed. This
169
routine permits incomplete codes, so another loop after this one fills
170
in the rest of the decoding tables with invalid code markers.
173
/* set up for code type */
176
base = extra = work; /* dummy value--not used */
192
/* initialize state for loop */
193
huff = 0; /* starting code */
194
sym = 0; /* starting code symbol */
195
len = min; /* starting code length */
196
next = *table; /* current table to fill in */
197
curr = root; /* current table index bits */
198
drop = 0; /* current bits to drop from code for index */
199
low = (unsigned)(-1); /* trigger new sub-table when len > root */
200
used = 1U << root; /* use root table entries */
201
mask = used - 1; /* mask for comparing low */
203
/* check available table space */
204
if (type == LENS && used >= ENOUGH - MAXD)
207
/* process all codes and make table entries */
209
/* create table entry */
210
this.bits = (unsigned char)(len - drop);
211
if ((int)(work[sym]) < end) {
212
this.op = (unsigned char)0;
213
this.val = work[sym];
215
else if ((int)(work[sym]) > end) {
216
this.op = (unsigned char)(extra[work[sym]]);
217
this.val = base[work[sym]];
220
this.op = (unsigned char)(32 + 64); /* end of block */
224
/* replicate for those indices with low len bits equal to huff */
225
incr = 1U << (len - drop);
229
next[(huff >> drop) + fill] = this;
232
/* backwards increment the len-bit code huff */
233
incr = 1U << (len - 1);
243
/* go to next symbol, update count, len */
245
if (--(count[len]) == 0) {
246
if (len == max) break;
247
len = lens[work[sym]];
250
/* create new sub-table if needed */
251
if (len > root && (huff & mask) != low) {
252
/* if first time, transition to sub-tables */
256
/* increment past last table */
259
/* determine length of next table */
261
left = (int)(1 << curr);
262
while (curr + drop < max) {
263
left -= count[curr + drop];
264
if (left <= 0) break;
269
/* check for enough space */
271
if (type == LENS && used >= ENOUGH - MAXD)
274
/* point entry in root table to sub-table */
276
(*table)[low].op = (unsigned char)curr;
277
(*table)[low].bits = (unsigned char)root;
278
(*table)[low].val = (unsigned short)(next - *table);
283
Fill in rest of table for incomplete codes. This loop is similar to the
284
loop above in incrementing huff for table indices. It is assumed that
285
len is equal to curr + drop, so there is no loop needed to increment
286
through high index bits. When the current sub-table is filled, the loop
287
drops back to the root table to fill in any remaining entries there.
289
this.op = (unsigned char)64; /* invalid code marker */
290
this.bits = (unsigned char)(len - drop);
291
this.val = (unsigned short)0;
293
/* when done with sub-table, drop back to root table */
294
if (drop != 0 && (huff & mask) != low) {
299
this.bits = (unsigned char)len;
302
/* put invalid code marker in table */
303
next[huff >> drop] = this;
305
/* backwards increment the len-bit code huff */
306
incr = 1U << (len - 1);
317
/* set return parameters */