1*4a5d661aSToomas Soome /* inftrees.c -- generate Huffman trees for efficient decoding
2*4a5d661aSToomas Soome * Copyright (C) 1995-2013 Mark Adler
3*4a5d661aSToomas Soome * For conditions of distribution and use, see copyright notice in zlib.h
4*4a5d661aSToomas Soome */
5*4a5d661aSToomas Soome
6*4a5d661aSToomas Soome #include "zutil.h"
7*4a5d661aSToomas Soome #include "inftrees.h"
8*4a5d661aSToomas Soome
9*4a5d661aSToomas Soome #define MAXBITS 15
10*4a5d661aSToomas Soome
11*4a5d661aSToomas Soome const char inflate_copyright[] =
12*4a5d661aSToomas Soome " inflate 1.2.8 Copyright 1995-2013 Mark Adler ";
13*4a5d661aSToomas Soome /*
14*4a5d661aSToomas Soome If you use the zlib library in a product, an acknowledgment is welcome
15*4a5d661aSToomas Soome in the documentation of your product. If for some reason you cannot
16*4a5d661aSToomas Soome include such an acknowledgment, I would appreciate that you keep this
17*4a5d661aSToomas Soome copyright string in the executable of your product.
18*4a5d661aSToomas Soome */
19*4a5d661aSToomas Soome
20*4a5d661aSToomas Soome /*
21*4a5d661aSToomas Soome Build a set of tables to decode the provided canonical Huffman code.
22*4a5d661aSToomas Soome The code lengths are lens[0..codes-1]. The result starts at *table,
23*4a5d661aSToomas Soome whose indices are 0..2^bits-1. work is a writable array of at least
24*4a5d661aSToomas Soome lens shorts, which is used as a work area. type is the type of code
25*4a5d661aSToomas Soome to be generated, CODES, LENS, or DISTS. On return, zero is success,
26*4a5d661aSToomas Soome -1 is an invalid code, and +1 means that ENOUGH isn't enough. table
27*4a5d661aSToomas Soome on return points to the next available entry's address. bits is the
28*4a5d661aSToomas Soome requested root table index bits, and on return it is the actual root
29*4a5d661aSToomas Soome table index bits. It will differ if the request is greater than the
30*4a5d661aSToomas Soome longest code or if it is less than the shortest code.
31*4a5d661aSToomas Soome */
inflate_table(type,lens,codes,table,bits,work)32*4a5d661aSToomas Soome int ZLIB_INTERNAL inflate_table(type, lens, codes, table, bits, work)
33*4a5d661aSToomas Soome codetype type;
34*4a5d661aSToomas Soome unsigned short FAR *lens;
35*4a5d661aSToomas Soome unsigned codes;
36*4a5d661aSToomas Soome code FAR * FAR *table;
37*4a5d661aSToomas Soome unsigned FAR *bits;
38*4a5d661aSToomas Soome unsigned short FAR *work;
39*4a5d661aSToomas Soome {
40*4a5d661aSToomas Soome unsigned len; /* a code's length in bits */
41*4a5d661aSToomas Soome unsigned sym; /* index of code symbols */
42*4a5d661aSToomas Soome unsigned min, max; /* minimum and maximum code lengths */
43*4a5d661aSToomas Soome unsigned root; /* number of index bits for root table */
44*4a5d661aSToomas Soome unsigned curr; /* number of index bits for current table */
45*4a5d661aSToomas Soome unsigned drop; /* code bits to drop for sub-table */
46*4a5d661aSToomas Soome int left; /* number of prefix codes available */
47*4a5d661aSToomas Soome unsigned used; /* code entries in table used */
48*4a5d661aSToomas Soome unsigned huff; /* Huffman code */
49*4a5d661aSToomas Soome unsigned incr; /* for incrementing code, index */
50*4a5d661aSToomas Soome unsigned fill; /* index for replicating entries */
51*4a5d661aSToomas Soome unsigned low; /* low bits for current root entry */
52*4a5d661aSToomas Soome unsigned mask; /* mask for low root bits */
53*4a5d661aSToomas Soome code here; /* table entry for duplication */
54*4a5d661aSToomas Soome code FAR *next; /* next available space in table */
55*4a5d661aSToomas Soome const unsigned short FAR *base; /* base value table to use */
56*4a5d661aSToomas Soome const unsigned short FAR *extra; /* extra bits table to use */
57*4a5d661aSToomas Soome int end; /* use base and extra for symbol > end */
58*4a5d661aSToomas Soome unsigned short count[MAXBITS+1]; /* number of codes of each length */
59*4a5d661aSToomas Soome unsigned short offs[MAXBITS+1]; /* offsets in table for each length */
60*4a5d661aSToomas Soome static const unsigned short lbase[31] = { /* Length codes 257..285 base */
61*4a5d661aSToomas Soome 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31,
62*4a5d661aSToomas Soome 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
63*4a5d661aSToomas Soome static const unsigned short lext[31] = { /* Length codes 257..285 extra */
64*4a5d661aSToomas Soome 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
65*4a5d661aSToomas Soome 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 72, 78};
66*4a5d661aSToomas Soome static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
67*4a5d661aSToomas Soome 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
68*4a5d661aSToomas Soome 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
69*4a5d661aSToomas Soome 8193, 12289, 16385, 24577, 0, 0};
70*4a5d661aSToomas Soome static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
71*4a5d661aSToomas Soome 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
72*4a5d661aSToomas Soome 23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
73*4a5d661aSToomas Soome 28, 28, 29, 29, 64, 64};
74*4a5d661aSToomas Soome
75*4a5d661aSToomas Soome /*
76*4a5d661aSToomas Soome Process a set of code lengths to create a canonical Huffman code. The
77*4a5d661aSToomas Soome code lengths are lens[0..codes-1]. Each length corresponds to the
78*4a5d661aSToomas Soome symbols 0..codes-1. The Huffman code is generated by first sorting the
79*4a5d661aSToomas Soome symbols by length from short to long, and retaining the symbol order
80*4a5d661aSToomas Soome for codes with equal lengths. Then the code starts with all zero bits
81*4a5d661aSToomas Soome for the first code of the shortest length, and the codes are integer
82*4a5d661aSToomas Soome increments for the same length, and zeros are appended as the length
83*4a5d661aSToomas Soome increases. For the deflate format, these bits are stored backwards
84*4a5d661aSToomas Soome from their more natural integer increment ordering, and so when the
85*4a5d661aSToomas Soome decoding tables are built in the large loop below, the integer codes
86*4a5d661aSToomas Soome are incremented backwards.
87*4a5d661aSToomas Soome
88*4a5d661aSToomas Soome This routine assumes, but does not check, that all of the entries in
89*4a5d661aSToomas Soome lens[] are in the range 0..MAXBITS. The caller must assure this.
90*4a5d661aSToomas Soome 1..MAXBITS is interpreted as that code length. zero means that that
91*4a5d661aSToomas Soome symbol does not occur in this code.
92*4a5d661aSToomas Soome
93*4a5d661aSToomas Soome The codes are sorted by computing a count of codes for each length,
94*4a5d661aSToomas Soome creating from that a table of starting indices for each length in the
95*4a5d661aSToomas Soome sorted table, and then entering the symbols in order in the sorted
96*4a5d661aSToomas Soome table. The sorted table is work[], with that space being provided by
97*4a5d661aSToomas Soome the caller.
98*4a5d661aSToomas Soome
99*4a5d661aSToomas Soome The length counts are used for other purposes as well, i.e. finding
100*4a5d661aSToomas Soome the minimum and maximum length codes, determining if there are any
101*4a5d661aSToomas Soome codes at all, checking for a valid set of lengths, and looking ahead
102*4a5d661aSToomas Soome at length counts to determine sub-table sizes when building the
103*4a5d661aSToomas Soome decoding tables.
104*4a5d661aSToomas Soome */
105*4a5d661aSToomas Soome
106*4a5d661aSToomas Soome /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
107*4a5d661aSToomas Soome for (len = 0; len <= MAXBITS; len++)
108*4a5d661aSToomas Soome count[len] = 0;
109*4a5d661aSToomas Soome for (sym = 0; sym < codes; sym++)
110*4a5d661aSToomas Soome count[lens[sym]]++;
111*4a5d661aSToomas Soome
112*4a5d661aSToomas Soome /* bound code lengths, force root to be within code lengths */
113*4a5d661aSToomas Soome root = *bits;
114*4a5d661aSToomas Soome for (max = MAXBITS; max >= 1; max--)
115*4a5d661aSToomas Soome if (count[max] != 0) break;
116*4a5d661aSToomas Soome if (root > max) root = max;
117*4a5d661aSToomas Soome if (max == 0) { /* no symbols to code at all */
118*4a5d661aSToomas Soome here.op = (unsigned char)64; /* invalid code marker */
119*4a5d661aSToomas Soome here.bits = (unsigned char)1;
120*4a5d661aSToomas Soome here.val = (unsigned short)0;
121*4a5d661aSToomas Soome *(*table)++ = here; /* make a table to force an error */
122*4a5d661aSToomas Soome *(*table)++ = here;
123*4a5d661aSToomas Soome *bits = 1;
124*4a5d661aSToomas Soome return 0; /* no symbols, but wait for decoding to report error */
125*4a5d661aSToomas Soome }
126*4a5d661aSToomas Soome for (min = 1; min < max; min++)
127*4a5d661aSToomas Soome if (count[min] != 0) break;
128*4a5d661aSToomas Soome if (root < min) root = min;
129*4a5d661aSToomas Soome
130*4a5d661aSToomas Soome /* check for an over-subscribed or incomplete set of lengths */
131*4a5d661aSToomas Soome left = 1;
132*4a5d661aSToomas Soome for (len = 1; len <= MAXBITS; len++) {
133*4a5d661aSToomas Soome left <<= 1;
134*4a5d661aSToomas Soome left -= count[len];
135*4a5d661aSToomas Soome if (left < 0) return -1; /* over-subscribed */
136*4a5d661aSToomas Soome }
137*4a5d661aSToomas Soome if (left > 0 && (type == CODES || max != 1))
138*4a5d661aSToomas Soome return -1; /* incomplete set */
139*4a5d661aSToomas Soome
140*4a5d661aSToomas Soome /* generate offsets into symbol table for each length for sorting */
141*4a5d661aSToomas Soome offs[1] = 0;
142*4a5d661aSToomas Soome for (len = 1; len < MAXBITS; len++)
143*4a5d661aSToomas Soome offs[len + 1] = offs[len] + count[len];
144*4a5d661aSToomas Soome
145*4a5d661aSToomas Soome /* sort symbols by length, by symbol order within each length */
146*4a5d661aSToomas Soome for (sym = 0; sym < codes; sym++)
147*4a5d661aSToomas Soome if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
148*4a5d661aSToomas Soome
149*4a5d661aSToomas Soome /*
150*4a5d661aSToomas Soome Create and fill in decoding tables. In this loop, the table being
151*4a5d661aSToomas Soome filled is at next and has curr index bits. The code being used is huff
152*4a5d661aSToomas Soome with length len. That code is converted to an index by dropping drop
153*4a5d661aSToomas Soome bits off of the bottom. For codes where len is less than drop + curr,
154*4a5d661aSToomas Soome those top drop + curr - len bits are incremented through all values to
155*4a5d661aSToomas Soome fill the table with replicated entries.
156*4a5d661aSToomas Soome
157*4a5d661aSToomas Soome root is the number of index bits for the root table. When len exceeds
158*4a5d661aSToomas Soome root, sub-tables are created pointed to by the root entry with an index
159*4a5d661aSToomas Soome of the low root bits of huff. This is saved in low to check for when a
160*4a5d661aSToomas Soome new sub-table should be started. drop is zero when the root table is
161*4a5d661aSToomas Soome being filled, and drop is root when sub-tables are being filled.
162*4a5d661aSToomas Soome
163*4a5d661aSToomas Soome When a new sub-table is needed, it is necessary to look ahead in the
164*4a5d661aSToomas Soome code lengths to determine what size sub-table is needed. The length
165*4a5d661aSToomas Soome counts are used for this, and so count[] is decremented as codes are
166*4a5d661aSToomas Soome entered in the tables.
167*4a5d661aSToomas Soome
168*4a5d661aSToomas Soome used keeps track of how many table entries have been allocated from the
169*4a5d661aSToomas Soome provided *table space. It is checked for LENS and DIST tables against
170*4a5d661aSToomas Soome the constants ENOUGH_LENS and ENOUGH_DISTS to guard against changes in
171*4a5d661aSToomas Soome the initial root table size constants. See the comments in inftrees.h
172*4a5d661aSToomas Soome for more information.
173*4a5d661aSToomas Soome
174*4a5d661aSToomas Soome sym increments through all symbols, and the loop terminates when
175*4a5d661aSToomas Soome all codes of length max, i.e. all codes, have been processed. This
176*4a5d661aSToomas Soome routine permits incomplete codes, so another loop after this one fills
177*4a5d661aSToomas Soome in the rest of the decoding tables with invalid code markers.
178*4a5d661aSToomas Soome */
179*4a5d661aSToomas Soome
180*4a5d661aSToomas Soome /* set up for code type */
181*4a5d661aSToomas Soome switch (type) {
182*4a5d661aSToomas Soome case CODES:
183*4a5d661aSToomas Soome base = extra = work; /* dummy value--not used */
184*4a5d661aSToomas Soome end = 19;
185*4a5d661aSToomas Soome break;
186*4a5d661aSToomas Soome case LENS:
187*4a5d661aSToomas Soome base = lbase;
188*4a5d661aSToomas Soome base -= 257;
189*4a5d661aSToomas Soome extra = lext;
190*4a5d661aSToomas Soome extra -= 257;
191*4a5d661aSToomas Soome end = 256;
192*4a5d661aSToomas Soome break;
193*4a5d661aSToomas Soome default: /* DISTS */
194*4a5d661aSToomas Soome base = dbase;
195*4a5d661aSToomas Soome extra = dext;
196*4a5d661aSToomas Soome end = -1;
197*4a5d661aSToomas Soome }
198*4a5d661aSToomas Soome
199*4a5d661aSToomas Soome /* initialize state for loop */
200*4a5d661aSToomas Soome huff = 0; /* starting code */
201*4a5d661aSToomas Soome sym = 0; /* starting code symbol */
202*4a5d661aSToomas Soome len = min; /* starting code length */
203*4a5d661aSToomas Soome next = *table; /* current table to fill in */
204*4a5d661aSToomas Soome curr = root; /* current table index bits */
205*4a5d661aSToomas Soome drop = 0; /* current bits to drop from code for index */
206*4a5d661aSToomas Soome low = (unsigned)(-1); /* trigger new sub-table when len > root */
207*4a5d661aSToomas Soome used = 1U << root; /* use root table entries */
208*4a5d661aSToomas Soome mask = used - 1; /* mask for comparing low */
209*4a5d661aSToomas Soome
210*4a5d661aSToomas Soome /* check available table space */
211*4a5d661aSToomas Soome if ((type == LENS && used > ENOUGH_LENS) ||
212*4a5d661aSToomas Soome (type == DISTS && used > ENOUGH_DISTS))
213*4a5d661aSToomas Soome return 1;
214*4a5d661aSToomas Soome
215*4a5d661aSToomas Soome /* process all codes and make table entries */
216*4a5d661aSToomas Soome for (;;) {
217*4a5d661aSToomas Soome /* create table entry */
218*4a5d661aSToomas Soome here.bits = (unsigned char)(len - drop);
219*4a5d661aSToomas Soome if ((int)(work[sym]) < end) {
220*4a5d661aSToomas Soome here.op = (unsigned char)0;
221*4a5d661aSToomas Soome here.val = work[sym];
222*4a5d661aSToomas Soome }
223*4a5d661aSToomas Soome else if ((int)(work[sym]) > end) {
224*4a5d661aSToomas Soome here.op = (unsigned char)(extra[work[sym]]);
225*4a5d661aSToomas Soome here.val = base[work[sym]];
226*4a5d661aSToomas Soome }
227*4a5d661aSToomas Soome else {
228*4a5d661aSToomas Soome here.op = (unsigned char)(32 + 64); /* end of block */
229*4a5d661aSToomas Soome here.val = 0;
230*4a5d661aSToomas Soome }
231*4a5d661aSToomas Soome
232*4a5d661aSToomas Soome /* replicate for those indices with low len bits equal to huff */
233*4a5d661aSToomas Soome incr = 1U << (len - drop);
234*4a5d661aSToomas Soome fill = 1U << curr;
235*4a5d661aSToomas Soome min = fill; /* save offset to next table */
236*4a5d661aSToomas Soome do {
237*4a5d661aSToomas Soome fill -= incr;
238*4a5d661aSToomas Soome next[(huff >> drop) + fill] = here;
239*4a5d661aSToomas Soome } while (fill != 0);
240*4a5d661aSToomas Soome
241*4a5d661aSToomas Soome /* backwards increment the len-bit code huff */
242*4a5d661aSToomas Soome incr = 1U << (len - 1);
243*4a5d661aSToomas Soome while (huff & incr)
244*4a5d661aSToomas Soome incr >>= 1;
245*4a5d661aSToomas Soome if (incr != 0) {
246*4a5d661aSToomas Soome huff &= incr - 1;
247*4a5d661aSToomas Soome huff += incr;
248*4a5d661aSToomas Soome }
249*4a5d661aSToomas Soome else
250*4a5d661aSToomas Soome huff = 0;
251*4a5d661aSToomas Soome
252*4a5d661aSToomas Soome /* go to next symbol, update count, len */
253*4a5d661aSToomas Soome sym++;
254*4a5d661aSToomas Soome if (--(count[len]) == 0) {
255*4a5d661aSToomas Soome if (len == max) break;
256*4a5d661aSToomas Soome len = lens[work[sym]];
257*4a5d661aSToomas Soome }
258*4a5d661aSToomas Soome
259*4a5d661aSToomas Soome /* create new sub-table if needed */
260*4a5d661aSToomas Soome if (len > root && (huff & mask) != low) {
261*4a5d661aSToomas Soome /* if first time, transition to sub-tables */
262*4a5d661aSToomas Soome if (drop == 0)
263*4a5d661aSToomas Soome drop = root;
264*4a5d661aSToomas Soome
265*4a5d661aSToomas Soome /* increment past last table */
266*4a5d661aSToomas Soome next += min; /* here min is 1 << curr */
267*4a5d661aSToomas Soome
268*4a5d661aSToomas Soome /* determine length of next table */
269*4a5d661aSToomas Soome curr = len - drop;
270*4a5d661aSToomas Soome left = (int)(1 << curr);
271*4a5d661aSToomas Soome while (curr + drop < max) {
272*4a5d661aSToomas Soome left -= count[curr + drop];
273*4a5d661aSToomas Soome if (left <= 0) break;
274*4a5d661aSToomas Soome curr++;
275*4a5d661aSToomas Soome left <<= 1;
276*4a5d661aSToomas Soome }
277*4a5d661aSToomas Soome
278*4a5d661aSToomas Soome /* check for enough space */
279*4a5d661aSToomas Soome used += 1U << curr;
280*4a5d661aSToomas Soome if ((type == LENS && used > ENOUGH_LENS) ||
281*4a5d661aSToomas Soome (type == DISTS && used > ENOUGH_DISTS))
282*4a5d661aSToomas Soome return 1;
283*4a5d661aSToomas Soome
284*4a5d661aSToomas Soome /* point entry in root table to sub-table */
285*4a5d661aSToomas Soome low = huff & mask;
286*4a5d661aSToomas Soome (*table)[low].op = (unsigned char)curr;
287*4a5d661aSToomas Soome (*table)[low].bits = (unsigned char)root;
288*4a5d661aSToomas Soome (*table)[low].val = (unsigned short)(next - *table);
289*4a5d661aSToomas Soome }
290*4a5d661aSToomas Soome }
291*4a5d661aSToomas Soome
292*4a5d661aSToomas Soome /* fill in remaining table entry if code is incomplete (guaranteed to have
293*4a5d661aSToomas Soome at most one remaining entry, since if the code is incomplete, the
294*4a5d661aSToomas Soome maximum code length that was allowed to get this far is one bit) */
295*4a5d661aSToomas Soome if (huff != 0) {
296*4a5d661aSToomas Soome here.op = (unsigned char)64; /* invalid code marker */
297*4a5d661aSToomas Soome here.bits = (unsigned char)(len - drop);
298*4a5d661aSToomas Soome here.val = (unsigned short)0;
299*4a5d661aSToomas Soome next[huff] = here;
300*4a5d661aSToomas Soome }
301*4a5d661aSToomas Soome
302*4a5d661aSToomas Soome /* set return parameters */
303*4a5d661aSToomas Soome *table += used;
304*4a5d661aSToomas Soome *bits = root;
305*4a5d661aSToomas Soome return 0;
306*4a5d661aSToomas Soome }
307