1*355d67fcSMatthew Dillon /* inftrees.c -- generate Huffman trees for efficient decoding
2*355d67fcSMatthew Dillon * Copyright (C) 1995-2013 Mark Adler
3*355d67fcSMatthew Dillon * For conditions of distribution and use, see copyright notice in zlib.h
4*355d67fcSMatthew Dillon */
5*355d67fcSMatthew Dillon
6*355d67fcSMatthew Dillon #include "hammer2_zlib_zutil.h"
7*355d67fcSMatthew Dillon #include "hammer2_zlib_inftrees.h"
8*355d67fcSMatthew Dillon
9*355d67fcSMatthew Dillon #define MAXBITS 15
10*355d67fcSMatthew Dillon
11*355d67fcSMatthew Dillon const char inflate_copyright[] =
12*355d67fcSMatthew Dillon " inflate 1.2.8 Copyright 1995-2013 Mark Adler ";
13*355d67fcSMatthew Dillon /*
14*355d67fcSMatthew Dillon If you use the zlib library in a product, an acknowledgment is welcome
15*355d67fcSMatthew Dillon in the documentation of your product. If for some reason you cannot
16*355d67fcSMatthew Dillon include such an acknowledgment, I would appreciate that you keep this
17*355d67fcSMatthew Dillon copyright string in the executable of your product.
18*355d67fcSMatthew Dillon */
19*355d67fcSMatthew Dillon
20*355d67fcSMatthew Dillon /*
21*355d67fcSMatthew Dillon Build a set of tables to decode the provided canonical Huffman code.
22*355d67fcSMatthew Dillon The code lengths are lens[0..codes-1]. The result starts at *table,
23*355d67fcSMatthew Dillon whose indices are 0..2^bits-1. work is a writable array of at least
24*355d67fcSMatthew Dillon lens shorts, which is used as a work area. type is the type of code
25*355d67fcSMatthew Dillon to be generated, CODES, LENS, or DISTS. On return, zero is success,
26*355d67fcSMatthew Dillon -1 is an invalid code, and +1 means that ENOUGH isn't enough. table
27*355d67fcSMatthew Dillon on return points to the next available entry's address. bits is the
28*355d67fcSMatthew Dillon requested root table index bits, and on return it is the actual root
29*355d67fcSMatthew Dillon table index bits. It will differ if the request is greater than the
30*355d67fcSMatthew Dillon longest code or if it is less than the shortest code.
31*355d67fcSMatthew Dillon */
32*355d67fcSMatthew Dillon int
33*355d67fcSMatthew Dillon ZLIB_INTERNAL
inflate_table(codetype type,unsigned short FAR * lens,unsigned codes,code FAR * FAR * table,unsigned FAR * bits,unsigned short FAR * work)34*355d67fcSMatthew Dillon inflate_table(codetype type, unsigned short FAR *lens, unsigned codes,
35*355d67fcSMatthew Dillon code FAR * FAR *table, unsigned FAR *bits,
36*355d67fcSMatthew Dillon unsigned short FAR *work)
37*355d67fcSMatthew Dillon {
38*355d67fcSMatthew Dillon unsigned len; /* a code's length in bits */
39*355d67fcSMatthew Dillon unsigned sym; /* index of code symbols */
40*355d67fcSMatthew Dillon unsigned min, max; /* minimum and maximum code lengths */
41*355d67fcSMatthew Dillon unsigned root; /* number of index bits for root table */
42*355d67fcSMatthew Dillon unsigned curr; /* number of index bits for current table */
43*355d67fcSMatthew Dillon unsigned drop; /* code bits to drop for sub-table */
44*355d67fcSMatthew Dillon int left; /* number of prefix codes available */
45*355d67fcSMatthew Dillon unsigned used; /* code entries in table used */
46*355d67fcSMatthew Dillon unsigned huff; /* Huffman code */
47*355d67fcSMatthew Dillon unsigned incr; /* for incrementing code, index */
48*355d67fcSMatthew Dillon unsigned fill; /* index for replicating entries */
49*355d67fcSMatthew Dillon unsigned low; /* low bits for current root entry */
50*355d67fcSMatthew Dillon unsigned mask; /* mask for low root bits */
51*355d67fcSMatthew Dillon code here; /* table entry for duplication */
52*355d67fcSMatthew Dillon code FAR *next; /* next available space in table */
53*355d67fcSMatthew Dillon const unsigned short FAR *base; /* base value table to use */
54*355d67fcSMatthew Dillon const unsigned short FAR *extra; /* extra bits table to use */
55*355d67fcSMatthew Dillon int end; /* use base and extra for symbol > end */
56*355d67fcSMatthew Dillon unsigned short count[MAXBITS+1]; /* number of codes of each length */
57*355d67fcSMatthew Dillon unsigned short offs[MAXBITS+1]; /* offsets in table for each length */
58*355d67fcSMatthew Dillon static const unsigned short lbase[31] = { /* Length codes 257..285 base */
59*355d67fcSMatthew Dillon 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31,
60*355d67fcSMatthew Dillon 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
61*355d67fcSMatthew Dillon static const unsigned short lext[31] = { /* Length codes 257..285 extra */
62*355d67fcSMatthew Dillon 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
63*355d67fcSMatthew Dillon 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 72, 78};
64*355d67fcSMatthew Dillon static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
65*355d67fcSMatthew Dillon 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
66*355d67fcSMatthew Dillon 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
67*355d67fcSMatthew Dillon 8193, 12289, 16385, 24577, 0, 0};
68*355d67fcSMatthew Dillon static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
69*355d67fcSMatthew Dillon 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
70*355d67fcSMatthew Dillon 23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
71*355d67fcSMatthew Dillon 28, 28, 29, 29, 64, 64};
72*355d67fcSMatthew Dillon
73*355d67fcSMatthew Dillon /*
74*355d67fcSMatthew Dillon Process a set of code lengths to create a canonical Huffman code. The
75*355d67fcSMatthew Dillon code lengths are lens[0..codes-1]. Each length corresponds to the
76*355d67fcSMatthew Dillon symbols 0..codes-1. The Huffman code is generated by first sorting the
77*355d67fcSMatthew Dillon symbols by length from short to long, and retaining the symbol order
78*355d67fcSMatthew Dillon for codes with equal lengths. Then the code starts with all zero bits
79*355d67fcSMatthew Dillon for the first code of the shortest length, and the codes are integer
80*355d67fcSMatthew Dillon increments for the same length, and zeros are appended as the length
81*355d67fcSMatthew Dillon increases. For the deflate format, these bits are stored backwards
82*355d67fcSMatthew Dillon from their more natural integer increment ordering, and so when the
83*355d67fcSMatthew Dillon decoding tables are built in the large loop below, the integer codes
84*355d67fcSMatthew Dillon are incremented backwards.
85*355d67fcSMatthew Dillon
86*355d67fcSMatthew Dillon This routine assumes, but does not check, that all of the entries in
87*355d67fcSMatthew Dillon lens[] are in the range 0..MAXBITS. The caller must assure this.
88*355d67fcSMatthew Dillon 1..MAXBITS is interpreted as that code length. zero means that that
89*355d67fcSMatthew Dillon symbol does not occur in this code.
90*355d67fcSMatthew Dillon
91*355d67fcSMatthew Dillon The codes are sorted by computing a count of codes for each length,
92*355d67fcSMatthew Dillon creating from that a table of starting indices for each length in the
93*355d67fcSMatthew Dillon sorted table, and then entering the symbols in order in the sorted
94*355d67fcSMatthew Dillon table. The sorted table is work[], with that space being provided by
95*355d67fcSMatthew Dillon the caller.
96*355d67fcSMatthew Dillon
97*355d67fcSMatthew Dillon The length counts are used for other purposes as well, i.e. finding
98*355d67fcSMatthew Dillon the minimum and maximum length codes, determining if there are any
99*355d67fcSMatthew Dillon codes at all, checking for a valid set of lengths, and looking ahead
100*355d67fcSMatthew Dillon at length counts to determine sub-table sizes when building the
101*355d67fcSMatthew Dillon decoding tables.
102*355d67fcSMatthew Dillon */
103*355d67fcSMatthew Dillon
104*355d67fcSMatthew Dillon /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
105*355d67fcSMatthew Dillon for (len = 0; len <= MAXBITS; len++)
106*355d67fcSMatthew Dillon count[len] = 0;
107*355d67fcSMatthew Dillon for (sym = 0; sym < codes; sym++)
108*355d67fcSMatthew Dillon count[lens[sym]]++;
109*355d67fcSMatthew Dillon
110*355d67fcSMatthew Dillon /* bound code lengths, force root to be within code lengths */
111*355d67fcSMatthew Dillon root = *bits;
112*355d67fcSMatthew Dillon for (max = MAXBITS; max >= 1; max--)
113*355d67fcSMatthew Dillon if (count[max] != 0) break;
114*355d67fcSMatthew Dillon if (root > max) root = max;
115*355d67fcSMatthew Dillon if (max == 0) { /* no symbols to code at all */
116*355d67fcSMatthew Dillon here.op = (unsigned char)64; /* invalid code marker */
117*355d67fcSMatthew Dillon here.bits = (unsigned char)1;
118*355d67fcSMatthew Dillon here.val = (unsigned short)0;
119*355d67fcSMatthew Dillon *(*table)++ = here; /* make a table to force an error */
120*355d67fcSMatthew Dillon *(*table)++ = here;
121*355d67fcSMatthew Dillon *bits = 1;
122*355d67fcSMatthew Dillon return 0; /* no symbols, but wait for decoding to report error */
123*355d67fcSMatthew Dillon }
124*355d67fcSMatthew Dillon for (min = 1; min < max; min++)
125*355d67fcSMatthew Dillon if (count[min] != 0) break;
126*355d67fcSMatthew Dillon if (root < min) root = min;
127*355d67fcSMatthew Dillon
128*355d67fcSMatthew Dillon /* check for an over-subscribed or incomplete set of lengths */
129*355d67fcSMatthew Dillon left = 1;
130*355d67fcSMatthew Dillon for (len = 1; len <= MAXBITS; len++) {
131*355d67fcSMatthew Dillon left <<= 1;
132*355d67fcSMatthew Dillon left -= count[len];
133*355d67fcSMatthew Dillon if (left < 0) return -1; /* over-subscribed */
134*355d67fcSMatthew Dillon }
135*355d67fcSMatthew Dillon if (left > 0 && (type == CODES || max != 1))
136*355d67fcSMatthew Dillon return -1; /* incomplete set */
137*355d67fcSMatthew Dillon
138*355d67fcSMatthew Dillon /* generate offsets into symbol table for each length for sorting */
139*355d67fcSMatthew Dillon offs[1] = 0;
140*355d67fcSMatthew Dillon for (len = 1; len < MAXBITS; len++)
141*355d67fcSMatthew Dillon offs[len + 1] = offs[len] + count[len];
142*355d67fcSMatthew Dillon
143*355d67fcSMatthew Dillon /* sort symbols by length, by symbol order within each length */
144*355d67fcSMatthew Dillon for (sym = 0; sym < codes; sym++)
145*355d67fcSMatthew Dillon if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
146*355d67fcSMatthew Dillon
147*355d67fcSMatthew Dillon /*
148*355d67fcSMatthew Dillon Create and fill in decoding tables. In this loop, the table being
149*355d67fcSMatthew Dillon filled is at next and has curr index bits. The code being used is huff
150*355d67fcSMatthew Dillon with length len. That code is converted to an index by dropping drop
151*355d67fcSMatthew Dillon bits off of the bottom. For codes where len is less than drop + curr,
152*355d67fcSMatthew Dillon those top drop + curr - len bits are incremented through all values to
153*355d67fcSMatthew Dillon fill the table with replicated entries.
154*355d67fcSMatthew Dillon
155*355d67fcSMatthew Dillon root is the number of index bits for the root table. When len exceeds
156*355d67fcSMatthew Dillon root, sub-tables are created pointed to by the root entry with an index
157*355d67fcSMatthew Dillon of the low root bits of huff. This is saved in low to check for when a
158*355d67fcSMatthew Dillon new sub-table should be started. drop is zero when the root table is
159*355d67fcSMatthew Dillon being filled, and drop is root when sub-tables are being filled.
160*355d67fcSMatthew Dillon
161*355d67fcSMatthew Dillon When a new sub-table is needed, it is necessary to look ahead in the
162*355d67fcSMatthew Dillon code lengths to determine what size sub-table is needed. The length
163*355d67fcSMatthew Dillon counts are used for this, and so count[] is decremented as codes are
164*355d67fcSMatthew Dillon entered in the tables.
165*355d67fcSMatthew Dillon
166*355d67fcSMatthew Dillon used keeps track of how many table entries have been allocated from the
167*355d67fcSMatthew Dillon provided *table space. It is checked for LENS and DIST tables against
168*355d67fcSMatthew Dillon the constants ENOUGH_LENS and ENOUGH_DISTS to guard against changes in
169*355d67fcSMatthew Dillon the initial root table size constants. See the comments in inftrees.h
170*355d67fcSMatthew Dillon for more information.
171*355d67fcSMatthew Dillon
172*355d67fcSMatthew Dillon sym increments through all symbols, and the loop terminates when
173*355d67fcSMatthew Dillon all codes of length max, i.e. all codes, have been processed. This
174*355d67fcSMatthew Dillon routine permits incomplete codes, so another loop after this one fills
175*355d67fcSMatthew Dillon in the rest of the decoding tables with invalid code markers.
176*355d67fcSMatthew Dillon */
177*355d67fcSMatthew Dillon
178*355d67fcSMatthew Dillon /* set up for code type */
179*355d67fcSMatthew Dillon switch (type) {
180*355d67fcSMatthew Dillon case CODES:
181*355d67fcSMatthew Dillon base = extra = work; /* dummy value--not used */
182*355d67fcSMatthew Dillon end = 19;
183*355d67fcSMatthew Dillon break;
184*355d67fcSMatthew Dillon case LENS:
185*355d67fcSMatthew Dillon base = lbase;
186*355d67fcSMatthew Dillon base -= 257;
187*355d67fcSMatthew Dillon extra = lext;
188*355d67fcSMatthew Dillon extra -= 257;
189*355d67fcSMatthew Dillon end = 256;
190*355d67fcSMatthew Dillon break;
191*355d67fcSMatthew Dillon default: /* DISTS */
192*355d67fcSMatthew Dillon base = dbase;
193*355d67fcSMatthew Dillon extra = dext;
194*355d67fcSMatthew Dillon end = -1;
195*355d67fcSMatthew Dillon }
196*355d67fcSMatthew Dillon
197*355d67fcSMatthew Dillon /* initialize state for loop */
198*355d67fcSMatthew Dillon huff = 0; /* starting code */
199*355d67fcSMatthew Dillon sym = 0; /* starting code symbol */
200*355d67fcSMatthew Dillon len = min; /* starting code length */
201*355d67fcSMatthew Dillon next = *table; /* current table to fill in */
202*355d67fcSMatthew Dillon curr = root; /* current table index bits */
203*355d67fcSMatthew Dillon drop = 0; /* current bits to drop from code for index */
204*355d67fcSMatthew Dillon low = (unsigned)(-1); /* trigger new sub-table when len > root */
205*355d67fcSMatthew Dillon used = 1U << root; /* use root table entries */
206*355d67fcSMatthew Dillon mask = used - 1; /* mask for comparing low */
207*355d67fcSMatthew Dillon
208*355d67fcSMatthew Dillon /* check available table space */
209*355d67fcSMatthew Dillon if ((type == LENS && used > ENOUGH_LENS) ||
210*355d67fcSMatthew Dillon (type == DISTS && used > ENOUGH_DISTS))
211*355d67fcSMatthew Dillon return 1;
212*355d67fcSMatthew Dillon
213*355d67fcSMatthew Dillon /* process all codes and make table entries */
214*355d67fcSMatthew Dillon for (;;) {
215*355d67fcSMatthew Dillon /* create table entry */
216*355d67fcSMatthew Dillon here.bits = (unsigned char)(len - drop);
217*355d67fcSMatthew Dillon if ((int)(work[sym]) < end) {
218*355d67fcSMatthew Dillon here.op = (unsigned char)0;
219*355d67fcSMatthew Dillon here.val = work[sym];
220*355d67fcSMatthew Dillon }
221*355d67fcSMatthew Dillon else if ((int)(work[sym]) > end) {
222*355d67fcSMatthew Dillon here.op = (unsigned char)(extra[work[sym]]);
223*355d67fcSMatthew Dillon here.val = base[work[sym]];
224*355d67fcSMatthew Dillon }
225*355d67fcSMatthew Dillon else {
226*355d67fcSMatthew Dillon here.op = (unsigned char)(32 + 64); /* end of block */
227*355d67fcSMatthew Dillon here.val = 0;
228*355d67fcSMatthew Dillon }
229*355d67fcSMatthew Dillon
230*355d67fcSMatthew Dillon /* replicate for those indices with low len bits equal to huff */
231*355d67fcSMatthew Dillon incr = 1U << (len - drop);
232*355d67fcSMatthew Dillon fill = 1U << curr;
233*355d67fcSMatthew Dillon min = fill; /* save offset to next table */
234*355d67fcSMatthew Dillon do {
235*355d67fcSMatthew Dillon fill -= incr;
236*355d67fcSMatthew Dillon next[(huff >> drop) + fill] = here;
237*355d67fcSMatthew Dillon } while (fill != 0);
238*355d67fcSMatthew Dillon
239*355d67fcSMatthew Dillon /* backwards increment the len-bit code huff */
240*355d67fcSMatthew Dillon incr = 1U << (len - 1);
241*355d67fcSMatthew Dillon while (huff & incr)
242*355d67fcSMatthew Dillon incr >>= 1;
243*355d67fcSMatthew Dillon if (incr != 0) {
244*355d67fcSMatthew Dillon huff &= incr - 1;
245*355d67fcSMatthew Dillon huff += incr;
246*355d67fcSMatthew Dillon }
247*355d67fcSMatthew Dillon else
248*355d67fcSMatthew Dillon huff = 0;
249*355d67fcSMatthew Dillon
250*355d67fcSMatthew Dillon /* go to next symbol, update count, len */
251*355d67fcSMatthew Dillon sym++;
252*355d67fcSMatthew Dillon if (--(count[len]) == 0) {
253*355d67fcSMatthew Dillon if (len == max) break;
254*355d67fcSMatthew Dillon len = lens[work[sym]];
255*355d67fcSMatthew Dillon }
256*355d67fcSMatthew Dillon
257*355d67fcSMatthew Dillon /* create new sub-table if needed */
258*355d67fcSMatthew Dillon if (len > root && (huff & mask) != low) {
259*355d67fcSMatthew Dillon /* if first time, transition to sub-tables */
260*355d67fcSMatthew Dillon if (drop == 0)
261*355d67fcSMatthew Dillon drop = root;
262*355d67fcSMatthew Dillon
263*355d67fcSMatthew Dillon /* increment past last table */
264*355d67fcSMatthew Dillon next += min; /* here min is 1 << curr */
265*355d67fcSMatthew Dillon
266*355d67fcSMatthew Dillon /* determine length of next table */
267*355d67fcSMatthew Dillon curr = len - drop;
268*355d67fcSMatthew Dillon left = (int)(1 << curr);
269*355d67fcSMatthew Dillon while (curr + drop < max) {
270*355d67fcSMatthew Dillon left -= count[curr + drop];
271*355d67fcSMatthew Dillon if (left <= 0) break;
272*355d67fcSMatthew Dillon curr++;
273*355d67fcSMatthew Dillon left <<= 1;
274*355d67fcSMatthew Dillon }
275*355d67fcSMatthew Dillon
276*355d67fcSMatthew Dillon /* check for enough space */
277*355d67fcSMatthew Dillon used += 1U << curr;
278*355d67fcSMatthew Dillon if ((type == LENS && used > ENOUGH_LENS) ||
279*355d67fcSMatthew Dillon (type == DISTS && used > ENOUGH_DISTS))
280*355d67fcSMatthew Dillon return 1;
281*355d67fcSMatthew Dillon
282*355d67fcSMatthew Dillon /* point entry in root table to sub-table */
283*355d67fcSMatthew Dillon low = huff & mask;
284*355d67fcSMatthew Dillon (*table)[low].op = (unsigned char)curr;
285*355d67fcSMatthew Dillon (*table)[low].bits = (unsigned char)root;
286*355d67fcSMatthew Dillon (*table)[low].val = (unsigned short)(next - *table);
287*355d67fcSMatthew Dillon }
288*355d67fcSMatthew Dillon }
289*355d67fcSMatthew Dillon
290*355d67fcSMatthew Dillon /* fill in remaining table entry if code is incomplete (guaranteed to have
291*355d67fcSMatthew Dillon at most one remaining entry, since if the code is incomplete, the
292*355d67fcSMatthew Dillon maximum code length that was allowed to get this far is one bit) */
293*355d67fcSMatthew Dillon if (huff != 0) {
294*355d67fcSMatthew Dillon here.op = (unsigned char)64; /* invalid code marker */
295*355d67fcSMatthew Dillon here.bits = (unsigned char)(len - drop);
296*355d67fcSMatthew Dillon here.val = (unsigned short)0;
297*355d67fcSMatthew Dillon next[huff] = here;
298*355d67fcSMatthew Dillon }
299*355d67fcSMatthew Dillon
300*355d67fcSMatthew Dillon /* set return parameters */
301*355d67fcSMatthew Dillon *table += used;
302*355d67fcSMatthew Dillon *bits = root;
303*355d67fcSMatthew Dillon return 0;
304*355d67fcSMatthew Dillon }
305