1/*
2 * Copyright (c) 2008 Apple Inc. All rights reserved.
3 *
4 * @APPLE_OSREFERENCE_LICENSE_HEADER_START@
5 *
6 * This file contains Original Code and/or Modifications of Original Code
7 * as defined in and that are subject to the Apple Public Source License
8 * Version 2.0 (the 'License'). You may not use this file except in
9 * compliance with the License. The rights granted to you under the License
10 * may not be used to create, or enable the creation or redistribution of,
11 * unlawful or unlicensed copies of an Apple operating system, or to
12 * circumvent, violate, or enable the circumvention or violation of, any
13 * terms of an Apple operating system software license agreement.
14 *
15 * Please obtain a copy of the License at
16 * http://www.opensource.apple.com/apsl/ and read it before using this file.
17 *
18 * The Original Code and all software distributed under the License are
19 * distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER
20 * EXPRESS OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES,
21 * INCLUDING WITHOUT LIMITATION, ANY WARRANTIES OF MERCHANTABILITY,
22 * FITNESS FOR A PARTICULAR PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT.
23 * Please see the License for the specific language governing rights and
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25 *
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27 */
28/* inftrees.c -- generate Huffman trees for efficient decoding
29 * Copyright (C) 1995-2005 Mark Adler
30 * For conditions of distribution and use, see copyright notice in zlib.h
31 */
32
33#include "zutil.h"
34#include "inftrees.h"
35
36#define MAXBITS 15
37
38const char inflate_copyright[] =
39   " inflate 1.2.3 Copyright 1995-2005 Mark Adler ";
40/*
41  If you use the zlib library in a product, an acknowledgment is welcome
42  in the documentation of your product. If for some reason you cannot
43  include such an acknowledgment, I would appreciate that you keep this
44  copyright string in the executable of your product.
45 */
46
47/*
48   Build a set of tables to decode the provided canonical Huffman code.
49   The code lengths are lens[0..codes-1].  The result starts at *table,
50   whose indices are 0..2^bits-1.  work is a writable array of at least
51   lens shorts, which is used as a work area.  type is the type of code
52   to be generated, CODES, LENS, or DISTS.  On return, zero is success,
53   -1 is an invalid code, and +1 means that ENOUGH isn't enough.  table
54   on return points to the next available entry's address.  bits is the
55   requested root table index bits, and on return it is the actual root
56   table index bits.  It will differ if the request is greater than the
57   longest code or if it is less than the shortest code.
58 */
59int inflate_table(type, lens, codes, table, bits, work)
60codetype type;
61unsigned short FAR *lens;
62unsigned codes;
63code FAR * FAR *table;
64unsigned FAR *bits;
65unsigned short FAR *work;
66{
67    unsigned len;               /* a code's length in bits */
68    unsigned sym;               /* index of code symbols */
69    unsigned min, max;          /* minimum and maximum code lengths */
70    unsigned root;              /* number of index bits for root table */
71    unsigned curr;              /* number of index bits for current table */
72    unsigned drop;              /* code bits to drop for sub-table */
73    int left;                   /* number of prefix codes available */
74    unsigned used;              /* code entries in table used */
75    unsigned huff;              /* Huffman code */
76    unsigned incr;              /* for incrementing code, index */
77    unsigned fill;              /* index for replicating entries */
78    unsigned low;               /* low bits for current root entry */
79    unsigned mask;              /* mask for low root bits */
80    code this;                  /* table entry for duplication */
81    code FAR *next;             /* next available space in table */
82    const unsigned short FAR *base;     /* base value table to use */
83    const unsigned short FAR *extra;    /* extra bits table to use */
84    int end;                    /* use base and extra for symbol > end */
85    unsigned short count[MAXBITS+1];    /* number of codes of each length */
86    unsigned short offs[MAXBITS+1];     /* offsets in table for each length */
87    static const unsigned short lbase[31] = { /* Length codes 257..285 base */
88        3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31,
89        35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
90    static const unsigned short lext[31] = { /* Length codes 257..285 extra */
91        16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
92        19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 201, 196};
93    static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
94        1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
95        257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
96        8193, 12289, 16385, 24577, 0, 0};
97    static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
98        16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
99        23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
100        28, 28, 29, 29, 64, 64};
101
102    /*
103       Process a set of code lengths to create a canonical Huffman code.  The
104       code lengths are lens[0..codes-1].  Each length corresponds to the
105       symbols 0..codes-1.  The Huffman code is generated by first sorting the
106       symbols by length from short to long, and retaining the symbol order
107       for codes with equal lengths.  Then the code starts with all zero bits
108       for the first code of the shortest length, and the codes are integer
109       increments for the same length, and zeros are appended as the length
110       increases.  For the deflate format, these bits are stored backwards
111       from their more natural integer increment ordering, and so when the
112       decoding tables are built in the large loop below, the integer codes
113       are incremented backwards.
114
115       This routine assumes, but does not check, that all of the entries in
116       lens[] are in the range 0..MAXBITS.  The caller must assure this.
117       1..MAXBITS is interpreted as that code length.  zero means that that
118       symbol does not occur in this code.
119
120       The codes are sorted by computing a count of codes for each length,
121       creating from that a table of starting indices for each length in the
122       sorted table, and then entering the symbols in order in the sorted
123       table.  The sorted table is work[], with that space being provided by
124       the caller.
125
126       The length counts are used for other purposes as well, i.e. finding
127       the minimum and maximum length codes, determining if there are any
128       codes at all, checking for a valid set of lengths, and looking ahead
129       at length counts to determine sub-table sizes when building the
130       decoding tables.
131     */
132
133    /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
134    for (len = 0; len <= MAXBITS; len++)
135        count[len] = 0;
136    for (sym = 0; sym < codes; sym++)
137        count[lens[sym]]++;
138
139    /* bound code lengths, force root to be within code lengths */
140    root = *bits;
141    for (max = MAXBITS; max >= 1; max--)
142        if (count[max] != 0) break;
143    if (root > max) root = max;
144    if (max == 0) {                     /* no symbols to code at all */
145        this.op = (unsigned char)64;    /* invalid code marker */
146        this.bits = (unsigned char)1;
147        this.val = (unsigned short)0;
148        *(*table)++ = this;             /* make a table to force an error */
149        *(*table)++ = this;
150        *bits = 1;
151        return 0;     /* no symbols, but wait for decoding to report error */
152    }
153    for (min = 1; min <= MAXBITS; min++)
154        if (count[min] != 0) break;
155    if (root < min) root = min;
156
157    /* check for an over-subscribed or incomplete set of lengths */
158    left = 1;
159    for (len = 1; len <= MAXBITS; len++) {
160        left <<= 1;
161        left -= count[len];
162        if (left < 0) return -1;        /* over-subscribed */
163    }
164    if (left > 0 && (type == CODES || max != 1))
165        return -1;                      /* incomplete set */
166
167    /* generate offsets into symbol table for each length for sorting */
168    offs[1] = 0;
169    for (len = 1; len < MAXBITS; len++)
170        offs[len + 1] = offs[len] + count[len];
171
172    /* sort symbols by length, by symbol order within each length */
173    for (sym = 0; sym < codes; sym++)
174        if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
175
176    /*
177       Create and fill in decoding tables.  In this loop, the table being
178       filled is at next and has curr index bits.  The code being used is huff
179       with length len.  That code is converted to an index by dropping drop
180       bits off of the bottom.  For codes where len is less than drop + curr,
181       those top drop + curr - len bits are incremented through all values to
182       fill the table with replicated entries.
183
184       root is the number of index bits for the root table.  When len exceeds
185       root, sub-tables are created pointed to by the root entry with an index
186       of the low root bits of huff.  This is saved in low to check for when a
187       new sub-table should be started.  drop is zero when the root table is
188       being filled, and drop is root when sub-tables are being filled.
189
190       When a new sub-table is needed, it is necessary to look ahead in the
191       code lengths to determine what size sub-table is needed.  The length
192       counts are used for this, and so count[] is decremented as codes are
193       entered in the tables.
194
195       used keeps track of how many table entries have been allocated from the
196       provided *table space.  It is checked when a LENS table is being made
197       against the space in *table, ENOUGH, minus the maximum space needed by
198       the worst case distance code, MAXD.  This should never happen, but the
199       sufficiency of ENOUGH has not been proven exhaustively, hence the check.
200       This assumes that when type == LENS, bits == 9.
201
202       sym increments through all symbols, and the loop terminates when
203       all codes of length max, i.e. all codes, have been processed.  This
204       routine permits incomplete codes, so another loop after this one fills
205       in the rest of the decoding tables with invalid code markers.
206     */
207
208    /* set up for code type */
209    switch (type) {
210    case CODES:
211        base = extra = work;    /* dummy value--not used */
212        end = 19;
213        break;
214    case LENS:
215        base = lbase;
216        base -= 257;
217        extra = lext;
218        extra -= 257;
219        end = 256;
220        break;
221    default:            /* DISTS */
222        base = dbase;
223        extra = dext;
224        end = -1;
225    }
226
227    /* initialize state for loop */
228    huff = 0;                   /* starting code */
229    sym = 0;                    /* starting code symbol */
230    len = min;                  /* starting code length */
231    next = *table;              /* current table to fill in */
232    curr = root;                /* current table index bits */
233    drop = 0;                   /* current bits to drop from code for index */
234    low = (unsigned)(-1);       /* trigger new sub-table when len > root */
235    used = 1U << root;          /* use root table entries */
236    mask = used - 1;            /* mask for comparing low */
237
238    /* check available table space */
239    if (type == LENS && used >= ENOUGH - MAXD)
240        return 1;
241
242    /* process all codes and make table entries */
243    for (;;) {
244        /* create table entry */
245        this.bits = (unsigned char)(len - drop);
246        if ((int)(work[sym]) < end) {
247            this.op = (unsigned char)0;
248            this.val = work[sym];
249        }
250        else if ((int)(work[sym]) > end) {
251            this.op = (unsigned char)(extra[work[sym]]);
252            this.val = base[work[sym]];
253        }
254        else {
255            this.op = (unsigned char)(32 + 64);         /* end of block */
256            this.val = 0;
257        }
258
259        /* replicate for those indices with low len bits equal to huff */
260        incr = 1U << (len - drop);
261        fill = 1U << curr;
262        min = fill;                 /* save offset to next table */
263        do {
264            fill -= incr;
265            next[(huff >> drop) + fill] = this;
266        } while (fill != 0);
267
268        /* backwards increment the len-bit code huff */
269        incr = 1U << (len - 1);
270        while (huff & incr)
271            incr >>= 1;
272        if (incr != 0) {
273            huff &= incr - 1;
274            huff += incr;
275        }
276        else
277            huff = 0;
278
279        /* go to next symbol, update count, len */
280        sym++;
281        if (--(count[len]) == 0) {
282            if (len == max) break;
283            len = lens[work[sym]];
284        }
285
286        /* create new sub-table if needed */
287        if (len > root && (huff & mask) != low) {
288            /* if first time, transition to sub-tables */
289            if (drop == 0)
290                drop = root;
291
292            /* increment past last table */
293            next += min;            /* here min is 1 << curr */
294
295            /* determine length of next table */
296            curr = len - drop;
297            left = (int)(1 << curr);
298            while (curr + drop < max) {
299                left -= count[curr + drop];
300                if (left <= 0) break;
301                curr++;
302                left <<= 1;
303            }
304
305            /* check for enough space */
306            used += 1U << curr;
307            if (type == LENS && used >= ENOUGH - MAXD)
308                return 1;
309
310            /* point entry in root table to sub-table */
311            low = huff & mask;
312            (*table)[low].op = (unsigned char)curr;
313            (*table)[low].bits = (unsigned char)root;
314            (*table)[low].val = (unsigned short)(next - *table);
315        }
316    }
317
318    /*
319       Fill in rest of table for incomplete codes.  This loop is similar to the
320       loop above in incrementing huff for table indices.  It is assumed that
321       len is equal to curr + drop, so there is no loop needed to increment
322       through high index bits.  When the current sub-table is filled, the loop
323       drops back to the root table to fill in any remaining entries there.
324     */
325    this.op = (unsigned char)64;                /* invalid code marker */
326    this.bits = (unsigned char)(len - drop);
327    this.val = (unsigned short)0;
328    while (huff != 0) {
329        /* when done with sub-table, drop back to root table */
330        if (drop != 0 && (huff & mask) != low) {
331            drop = 0;
332            len = root;
333            next = *table;
334            this.bits = (unsigned char)len;
335        }
336
337        /* put invalid code marker in table */
338        next[huff >> drop] = this;
339
340        /* backwards increment the len-bit code huff */
341        incr = 1U << (len - 1);
342        while (huff & incr)
343            incr >>= 1;
344        if (incr != 0) {
345            huff &= incr - 1;
346            huff += incr;
347        }
348        else
349            huff = 0;
350    }
351
352    /* set return parameters */
353    *table += used;
354    *bits = root;
355    return 0;
356}
357