1*2d60b848STomohiro Kusumi /* inftrees.c -- generate Huffman trees for efficient decoding
2*2d60b848STomohiro Kusumi * Copyright (C) 1995-2013 Mark Adler
3*2d60b848STomohiro Kusumi * For conditions of distribution and use, see copyright notice in zlib.h
4*2d60b848STomohiro Kusumi */
5*2d60b848STomohiro Kusumi
6*2d60b848STomohiro Kusumi #include "hammer2_zlib_zutil.h"
7*2d60b848STomohiro Kusumi #include "hammer2_zlib_inftrees.h"
8*2d60b848STomohiro Kusumi
9*2d60b848STomohiro Kusumi #define MAXBITS 15
10*2d60b848STomohiro Kusumi
11*2d60b848STomohiro Kusumi const char inflate_copyright[] =
12*2d60b848STomohiro Kusumi " inflate 1.2.8 Copyright 1995-2013 Mark Adler ";
13*2d60b848STomohiro Kusumi /*
14*2d60b848STomohiro Kusumi If you use the zlib library in a product, an acknowledgment is welcome
15*2d60b848STomohiro Kusumi in the documentation of your product. If for some reason you cannot
16*2d60b848STomohiro Kusumi include such an acknowledgment, I would appreciate that you keep this
17*2d60b848STomohiro Kusumi copyright string in the executable of your product.
18*2d60b848STomohiro Kusumi */
19*2d60b848STomohiro Kusumi
20*2d60b848STomohiro Kusumi /*
21*2d60b848STomohiro Kusumi Build a set of tables to decode the provided canonical Huffman code.
22*2d60b848STomohiro Kusumi The code lengths are lens[0..codes-1]. The result starts at *table,
23*2d60b848STomohiro Kusumi whose indices are 0..2^bits-1. work is a writable array of at least
24*2d60b848STomohiro Kusumi lens shorts, which is used as a work area. type is the type of code
25*2d60b848STomohiro Kusumi to be generated, CODES, LENS, or DISTS. On return, zero is success,
26*2d60b848STomohiro Kusumi -1 is an invalid code, and +1 means that ENOUGH isn't enough. table
27*2d60b848STomohiro Kusumi on return points to the next available entry's address. bits is the
28*2d60b848STomohiro Kusumi requested root table index bits, and on return it is the actual root
29*2d60b848STomohiro Kusumi table index bits. It will differ if the request is greater than the
30*2d60b848STomohiro Kusumi longest code or if it is less than the shortest code.
31*2d60b848STomohiro Kusumi */
32*2d60b848STomohiro Kusumi int
33*2d60b848STomohiro Kusumi ZLIB_INTERNAL
inflate_table(codetype type,unsigned short FAR * lens,unsigned codes,code FAR * FAR * table,unsigned FAR * bits,unsigned short FAR * work)34*2d60b848STomohiro Kusumi inflate_table(codetype type, unsigned short FAR *lens, unsigned codes,
35*2d60b848STomohiro Kusumi code FAR * FAR *table, unsigned FAR *bits,
36*2d60b848STomohiro Kusumi unsigned short FAR *work)
37*2d60b848STomohiro Kusumi {
38*2d60b848STomohiro Kusumi unsigned len; /* a code's length in bits */
39*2d60b848STomohiro Kusumi unsigned sym; /* index of code symbols */
40*2d60b848STomohiro Kusumi unsigned min, max; /* minimum and maximum code lengths */
41*2d60b848STomohiro Kusumi unsigned root; /* number of index bits for root table */
42*2d60b848STomohiro Kusumi unsigned curr; /* number of index bits for current table */
43*2d60b848STomohiro Kusumi unsigned drop; /* code bits to drop for sub-table */
44*2d60b848STomohiro Kusumi int left; /* number of prefix codes available */
45*2d60b848STomohiro Kusumi unsigned used; /* code entries in table used */
46*2d60b848STomohiro Kusumi unsigned huff; /* Huffman code */
47*2d60b848STomohiro Kusumi unsigned incr; /* for incrementing code, index */
48*2d60b848STomohiro Kusumi unsigned fill; /* index for replicating entries */
49*2d60b848STomohiro Kusumi unsigned low; /* low bits for current root entry */
50*2d60b848STomohiro Kusumi unsigned mask; /* mask for low root bits */
51*2d60b848STomohiro Kusumi code here; /* table entry for duplication */
52*2d60b848STomohiro Kusumi code FAR *next; /* next available space in table */
53*2d60b848STomohiro Kusumi const unsigned short FAR *base; /* base value table to use */
54*2d60b848STomohiro Kusumi const unsigned short FAR *extra; /* extra bits table to use */
55*2d60b848STomohiro Kusumi int end; /* use base and extra for symbol > end */
56*2d60b848STomohiro Kusumi unsigned short count[MAXBITS+1]; /* number of codes of each length */
57*2d60b848STomohiro Kusumi unsigned short offs[MAXBITS+1]; /* offsets in table for each length */
58*2d60b848STomohiro Kusumi static const unsigned short lbase[31] = { /* Length codes 257..285 base */
59*2d60b848STomohiro Kusumi 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31,
60*2d60b848STomohiro Kusumi 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
61*2d60b848STomohiro Kusumi static const unsigned short lext[31] = { /* Length codes 257..285 extra */
62*2d60b848STomohiro Kusumi 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
63*2d60b848STomohiro Kusumi 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 72, 78};
64*2d60b848STomohiro Kusumi static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
65*2d60b848STomohiro Kusumi 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
66*2d60b848STomohiro Kusumi 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
67*2d60b848STomohiro Kusumi 8193, 12289, 16385, 24577, 0, 0};
68*2d60b848STomohiro Kusumi static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
69*2d60b848STomohiro Kusumi 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
70*2d60b848STomohiro Kusumi 23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
71*2d60b848STomohiro Kusumi 28, 28, 29, 29, 64, 64};
72*2d60b848STomohiro Kusumi
73*2d60b848STomohiro Kusumi /*
74*2d60b848STomohiro Kusumi Process a set of code lengths to create a canonical Huffman code. The
75*2d60b848STomohiro Kusumi code lengths are lens[0..codes-1]. Each length corresponds to the
76*2d60b848STomohiro Kusumi symbols 0..codes-1. The Huffman code is generated by first sorting the
77*2d60b848STomohiro Kusumi symbols by length from short to long, and retaining the symbol order
78*2d60b848STomohiro Kusumi for codes with equal lengths. Then the code starts with all zero bits
79*2d60b848STomohiro Kusumi for the first code of the shortest length, and the codes are integer
80*2d60b848STomohiro Kusumi increments for the same length, and zeros are appended as the length
81*2d60b848STomohiro Kusumi increases. For the deflate format, these bits are stored backwards
82*2d60b848STomohiro Kusumi from their more natural integer increment ordering, and so when the
83*2d60b848STomohiro Kusumi decoding tables are built in the large loop below, the integer codes
84*2d60b848STomohiro Kusumi are incremented backwards.
85*2d60b848STomohiro Kusumi
86*2d60b848STomohiro Kusumi This routine assumes, but does not check, that all of the entries in
87*2d60b848STomohiro Kusumi lens[] are in the range 0..MAXBITS. The caller must assure this.
88*2d60b848STomohiro Kusumi 1..MAXBITS is interpreted as that code length. zero means that that
89*2d60b848STomohiro Kusumi symbol does not occur in this code.
90*2d60b848STomohiro Kusumi
91*2d60b848STomohiro Kusumi The codes are sorted by computing a count of codes for each length,
92*2d60b848STomohiro Kusumi creating from that a table of starting indices for each length in the
93*2d60b848STomohiro Kusumi sorted table, and then entering the symbols in order in the sorted
94*2d60b848STomohiro Kusumi table. The sorted table is work[], with that space being provided by
95*2d60b848STomohiro Kusumi the caller.
96*2d60b848STomohiro Kusumi
97*2d60b848STomohiro Kusumi The length counts are used for other purposes as well, i.e. finding
98*2d60b848STomohiro Kusumi the minimum and maximum length codes, determining if there are any
99*2d60b848STomohiro Kusumi codes at all, checking for a valid set of lengths, and looking ahead
100*2d60b848STomohiro Kusumi at length counts to determine sub-table sizes when building the
101*2d60b848STomohiro Kusumi decoding tables.
102*2d60b848STomohiro Kusumi */
103*2d60b848STomohiro Kusumi
104*2d60b848STomohiro Kusumi /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
105*2d60b848STomohiro Kusumi for (len = 0; len <= MAXBITS; len++)
106*2d60b848STomohiro Kusumi count[len] = 0;
107*2d60b848STomohiro Kusumi for (sym = 0; sym < codes; sym++)
108*2d60b848STomohiro Kusumi count[lens[sym]]++;
109*2d60b848STomohiro Kusumi
110*2d60b848STomohiro Kusumi /* bound code lengths, force root to be within code lengths */
111*2d60b848STomohiro Kusumi root = *bits;
112*2d60b848STomohiro Kusumi for (max = MAXBITS; max >= 1; max--)
113*2d60b848STomohiro Kusumi if (count[max] != 0) break;
114*2d60b848STomohiro Kusumi if (root > max) root = max;
115*2d60b848STomohiro Kusumi if (max == 0) { /* no symbols to code at all */
116*2d60b848STomohiro Kusumi here.op = (unsigned char)64; /* invalid code marker */
117*2d60b848STomohiro Kusumi here.bits = (unsigned char)1;
118*2d60b848STomohiro Kusumi here.val = (unsigned short)0;
119*2d60b848STomohiro Kusumi *(*table)++ = here; /* make a table to force an error */
120*2d60b848STomohiro Kusumi *(*table)++ = here;
121*2d60b848STomohiro Kusumi *bits = 1;
122*2d60b848STomohiro Kusumi return 0; /* no symbols, but wait for decoding to report error */
123*2d60b848STomohiro Kusumi }
124*2d60b848STomohiro Kusumi for (min = 1; min < max; min++)
125*2d60b848STomohiro Kusumi if (count[min] != 0) break;
126*2d60b848STomohiro Kusumi if (root < min) root = min;
127*2d60b848STomohiro Kusumi
128*2d60b848STomohiro Kusumi /* check for an over-subscribed or incomplete set of lengths */
129*2d60b848STomohiro Kusumi left = 1;
130*2d60b848STomohiro Kusumi for (len = 1; len <= MAXBITS; len++) {
131*2d60b848STomohiro Kusumi left <<= 1;
132*2d60b848STomohiro Kusumi left -= count[len];
133*2d60b848STomohiro Kusumi if (left < 0) return -1; /* over-subscribed */
134*2d60b848STomohiro Kusumi }
135*2d60b848STomohiro Kusumi if (left > 0 && (type == CODES || max != 1))
136*2d60b848STomohiro Kusumi return -1; /* incomplete set */
137*2d60b848STomohiro Kusumi
138*2d60b848STomohiro Kusumi /* generate offsets into symbol table for each length for sorting */
139*2d60b848STomohiro Kusumi offs[1] = 0;
140*2d60b848STomohiro Kusumi for (len = 1; len < MAXBITS; len++)
141*2d60b848STomohiro Kusumi offs[len + 1] = offs[len] + count[len];
142*2d60b848STomohiro Kusumi
143*2d60b848STomohiro Kusumi /* sort symbols by length, by symbol order within each length */
144*2d60b848STomohiro Kusumi for (sym = 0; sym < codes; sym++)
145*2d60b848STomohiro Kusumi if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
146*2d60b848STomohiro Kusumi
147*2d60b848STomohiro Kusumi /*
148*2d60b848STomohiro Kusumi Create and fill in decoding tables. In this loop, the table being
149*2d60b848STomohiro Kusumi filled is at next and has curr index bits. The code being used is huff
150*2d60b848STomohiro Kusumi with length len. That code is converted to an index by dropping drop
151*2d60b848STomohiro Kusumi bits off of the bottom. For codes where len is less than drop + curr,
152*2d60b848STomohiro Kusumi those top drop + curr - len bits are incremented through all values to
153*2d60b848STomohiro Kusumi fill the table with replicated entries.
154*2d60b848STomohiro Kusumi
155*2d60b848STomohiro Kusumi root is the number of index bits for the root table. When len exceeds
156*2d60b848STomohiro Kusumi root, sub-tables are created pointed to by the root entry with an index
157*2d60b848STomohiro Kusumi of the low root bits of huff. This is saved in low to check for when a
158*2d60b848STomohiro Kusumi new sub-table should be started. drop is zero when the root table is
159*2d60b848STomohiro Kusumi being filled, and drop is root when sub-tables are being filled.
160*2d60b848STomohiro Kusumi
161*2d60b848STomohiro Kusumi When a new sub-table is needed, it is necessary to look ahead in the
162*2d60b848STomohiro Kusumi code lengths to determine what size sub-table is needed. The length
163*2d60b848STomohiro Kusumi counts are used for this, and so count[] is decremented as codes are
164*2d60b848STomohiro Kusumi entered in the tables.
165*2d60b848STomohiro Kusumi
166*2d60b848STomohiro Kusumi used keeps track of how many table entries have been allocated from the
167*2d60b848STomohiro Kusumi provided *table space. It is checked for LENS and DIST tables against
168*2d60b848STomohiro Kusumi the constants ENOUGH_LENS and ENOUGH_DISTS to guard against changes in
169*2d60b848STomohiro Kusumi the initial root table size constants. See the comments in inftrees.h
170*2d60b848STomohiro Kusumi for more information.
171*2d60b848STomohiro Kusumi
172*2d60b848STomohiro Kusumi sym increments through all symbols, and the loop terminates when
173*2d60b848STomohiro Kusumi all codes of length max, i.e. all codes, have been processed. This
174*2d60b848STomohiro Kusumi routine permits incomplete codes, so another loop after this one fills
175*2d60b848STomohiro Kusumi in the rest of the decoding tables with invalid code markers.
176*2d60b848STomohiro Kusumi */
177*2d60b848STomohiro Kusumi
178*2d60b848STomohiro Kusumi /* set up for code type */
179*2d60b848STomohiro Kusumi switch (type) {
180*2d60b848STomohiro Kusumi case CODES:
181*2d60b848STomohiro Kusumi base = extra = work; /* dummy value--not used */
182*2d60b848STomohiro Kusumi end = 19;
183*2d60b848STomohiro Kusumi break;
184*2d60b848STomohiro Kusumi case LENS:
185*2d60b848STomohiro Kusumi base = lbase;
186*2d60b848STomohiro Kusumi base -= 257;
187*2d60b848STomohiro Kusumi extra = lext;
188*2d60b848STomohiro Kusumi extra -= 257;
189*2d60b848STomohiro Kusumi end = 256;
190*2d60b848STomohiro Kusumi break;
191*2d60b848STomohiro Kusumi default: /* DISTS */
192*2d60b848STomohiro Kusumi base = dbase;
193*2d60b848STomohiro Kusumi extra = dext;
194*2d60b848STomohiro Kusumi end = -1;
195*2d60b848STomohiro Kusumi }
196*2d60b848STomohiro Kusumi
197*2d60b848STomohiro Kusumi /* initialize state for loop */
198*2d60b848STomohiro Kusumi huff = 0; /* starting code */
199*2d60b848STomohiro Kusumi sym = 0; /* starting code symbol */
200*2d60b848STomohiro Kusumi len = min; /* starting code length */
201*2d60b848STomohiro Kusumi next = *table; /* current table to fill in */
202*2d60b848STomohiro Kusumi curr = root; /* current table index bits */
203*2d60b848STomohiro Kusumi drop = 0; /* current bits to drop from code for index */
204*2d60b848STomohiro Kusumi low = (unsigned)(-1); /* trigger new sub-table when len > root */
205*2d60b848STomohiro Kusumi used = 1U << root; /* use root table entries */
206*2d60b848STomohiro Kusumi mask = used - 1; /* mask for comparing low */
207*2d60b848STomohiro Kusumi
208*2d60b848STomohiro Kusumi /* check available table space */
209*2d60b848STomohiro Kusumi if ((type == LENS && used > ENOUGH_LENS) ||
210*2d60b848STomohiro Kusumi (type == DISTS && used > ENOUGH_DISTS))
211*2d60b848STomohiro Kusumi return 1;
212*2d60b848STomohiro Kusumi
213*2d60b848STomohiro Kusumi /* process all codes and make table entries */
214*2d60b848STomohiro Kusumi for (;;) {
215*2d60b848STomohiro Kusumi /* create table entry */
216*2d60b848STomohiro Kusumi here.bits = (unsigned char)(len - drop);
217*2d60b848STomohiro Kusumi if ((int)(work[sym]) < end) {
218*2d60b848STomohiro Kusumi here.op = (unsigned char)0;
219*2d60b848STomohiro Kusumi here.val = work[sym];
220*2d60b848STomohiro Kusumi }
221*2d60b848STomohiro Kusumi else if ((int)(work[sym]) > end) {
222*2d60b848STomohiro Kusumi here.op = (unsigned char)(extra[work[sym]]);
223*2d60b848STomohiro Kusumi here.val = base[work[sym]];
224*2d60b848STomohiro Kusumi }
225*2d60b848STomohiro Kusumi else {
226*2d60b848STomohiro Kusumi here.op = (unsigned char)(32 + 64); /* end of block */
227*2d60b848STomohiro Kusumi here.val = 0;
228*2d60b848STomohiro Kusumi }
229*2d60b848STomohiro Kusumi
230*2d60b848STomohiro Kusumi /* replicate for those indices with low len bits equal to huff */
231*2d60b848STomohiro Kusumi incr = 1U << (len - drop);
232*2d60b848STomohiro Kusumi fill = 1U << curr;
233*2d60b848STomohiro Kusumi min = fill; /* save offset to next table */
234*2d60b848STomohiro Kusumi do {
235*2d60b848STomohiro Kusumi fill -= incr;
236*2d60b848STomohiro Kusumi next[(huff >> drop) + fill] = here;
237*2d60b848STomohiro Kusumi } while (fill != 0);
238*2d60b848STomohiro Kusumi
239*2d60b848STomohiro Kusumi /* backwards increment the len-bit code huff */
240*2d60b848STomohiro Kusumi incr = 1U << (len - 1);
241*2d60b848STomohiro Kusumi while (huff & incr)
242*2d60b848STomohiro Kusumi incr >>= 1;
243*2d60b848STomohiro Kusumi if (incr != 0) {
244*2d60b848STomohiro Kusumi huff &= incr - 1;
245*2d60b848STomohiro Kusumi huff += incr;
246*2d60b848STomohiro Kusumi }
247*2d60b848STomohiro Kusumi else
248*2d60b848STomohiro Kusumi huff = 0;
249*2d60b848STomohiro Kusumi
250*2d60b848STomohiro Kusumi /* go to next symbol, update count, len */
251*2d60b848STomohiro Kusumi sym++;
252*2d60b848STomohiro Kusumi if (--(count[len]) == 0) {
253*2d60b848STomohiro Kusumi if (len == max) break;
254*2d60b848STomohiro Kusumi len = lens[work[sym]];
255*2d60b848STomohiro Kusumi }
256*2d60b848STomohiro Kusumi
257*2d60b848STomohiro Kusumi /* create new sub-table if needed */
258*2d60b848STomohiro Kusumi if (len > root && (huff & mask) != low) {
259*2d60b848STomohiro Kusumi /* if first time, transition to sub-tables */
260*2d60b848STomohiro Kusumi if (drop == 0)
261*2d60b848STomohiro Kusumi drop = root;
262*2d60b848STomohiro Kusumi
263*2d60b848STomohiro Kusumi /* increment past last table */
264*2d60b848STomohiro Kusumi next += min; /* here min is 1 << curr */
265*2d60b848STomohiro Kusumi
266*2d60b848STomohiro Kusumi /* determine length of next table */
267*2d60b848STomohiro Kusumi curr = len - drop;
268*2d60b848STomohiro Kusumi left = (int)(1 << curr);
269*2d60b848STomohiro Kusumi while (curr + drop < max) {
270*2d60b848STomohiro Kusumi left -= count[curr + drop];
271*2d60b848STomohiro Kusumi if (left <= 0) break;
272*2d60b848STomohiro Kusumi curr++;
273*2d60b848STomohiro Kusumi left <<= 1;
274*2d60b848STomohiro Kusumi }
275*2d60b848STomohiro Kusumi
276*2d60b848STomohiro Kusumi /* check for enough space */
277*2d60b848STomohiro Kusumi used += 1U << curr;
278*2d60b848STomohiro Kusumi if ((type == LENS && used > ENOUGH_LENS) ||
279*2d60b848STomohiro Kusumi (type == DISTS && used > ENOUGH_DISTS))
280*2d60b848STomohiro Kusumi return 1;
281*2d60b848STomohiro Kusumi
282*2d60b848STomohiro Kusumi /* point entry in root table to sub-table */
283*2d60b848STomohiro Kusumi low = huff & mask;
284*2d60b848STomohiro Kusumi (*table)[low].op = (unsigned char)curr;
285*2d60b848STomohiro Kusumi (*table)[low].bits = (unsigned char)root;
286*2d60b848STomohiro Kusumi (*table)[low].val = (unsigned short)(next - *table);
287*2d60b848STomohiro Kusumi }
288*2d60b848STomohiro Kusumi }
289*2d60b848STomohiro Kusumi
290*2d60b848STomohiro Kusumi /* fill in remaining table entry if code is incomplete (guaranteed to have
291*2d60b848STomohiro Kusumi at most one remaining entry, since if the code is incomplete, the
292*2d60b848STomohiro Kusumi maximum code length that was allowed to get this far is one bit) */
293*2d60b848STomohiro Kusumi if (huff != 0) {
294*2d60b848STomohiro Kusumi here.op = (unsigned char)64; /* invalid code marker */
295*2d60b848STomohiro Kusumi here.bits = (unsigned char)(len - drop);
296*2d60b848STomohiro Kusumi here.val = (unsigned short)0;
297*2d60b848STomohiro Kusumi next[huff] = here;
298*2d60b848STomohiro Kusumi }
299*2d60b848STomohiro Kusumi
300*2d60b848STomohiro Kusumi /* set return parameters */
301*2d60b848STomohiro Kusumi *table += used;
302*2d60b848STomohiro Kusumi *bits = root;
303*2d60b848STomohiro Kusumi return 0;
304*2d60b848STomohiro Kusumi }
305