1/*	$NetBSD: inftree9.c,v 1.1.1.1 2006/01/14 20:10:52 christos Exp $	*/
2
3/* inftree9.c -- generate Huffman trees for efficient decoding
4 * Copyright (C) 1995-2005 Mark Adler
5 * For conditions of distribution and use, see copyright notice in zlib.h
6 */
7
8#include "zutil.h"
9#include "inftree9.h"
10
11#define MAXBITS 15
12
13const char inflate9_copyright[] =
14   " inflate9 1.2.3 Copyright 1995-2005 Mark Adler ";
15/*
16  If you use the zlib library in a product, an acknowledgment is welcome
17  in the documentation of your product. If for some reason you cannot
18  include such an acknowledgment, I would appreciate that you keep this
19  copyright string in the executable of your product.
20 */
21
22/*
23   Build a set of tables to decode the provided canonical Huffman code.
24   The code lengths are lens[0..codes-1].  The result starts at *table,
25   whose indices are 0..2^bits-1.  work is a writable array of at least
26   lens shorts, which is used as a work area.  type is the type of code
27   to be generated, CODES, LENS, or DISTS.  On return, zero is success,
28   -1 is an invalid code, and +1 means that ENOUGH isn't enough.  table
29   on return points to the next available entry's address.  bits is the
30   requested root table index bits, and on return it is the actual root
31   table index bits.  It will differ if the request is greater than the
32   longest code or if it is less than the shortest code.
33 */
34int inflate_table9(type, lens, codes, table, bits, work)
35codetype type;
36unsigned short FAR *lens;
37unsigned codes;
38code FAR * FAR *table;
39unsigned FAR *bits;
40unsigned short FAR *work;
41{
42    unsigned len;               /* a code's length in bits */
43    unsigned sym;               /* index of code symbols */
44    unsigned min, max;          /* minimum and maximum code lengths */
45    unsigned root;              /* number of index bits for root table */
46    unsigned curr;              /* number of index bits for current table */
47    unsigned drop;              /* code bits to drop for sub-table */
48    int left;                   /* number of prefix codes available */
49    unsigned used;              /* code entries in table used */
50    unsigned huff;              /* Huffman code */
51    unsigned incr;              /* for incrementing code, index */
52    unsigned fill;              /* index for replicating entries */
53    unsigned low;               /* low bits for current root entry */
54    unsigned mask;              /* mask for low root bits */
55    code this;                  /* table entry for duplication */
56    code FAR *next;             /* next available space in table */
57    const unsigned short FAR *base;     /* base value table to use */
58    const unsigned short FAR *extra;    /* extra bits table to use */
59    int end;                    /* use base and extra for symbol > end */
60    unsigned short count[MAXBITS+1];    /* number of codes of each length */
61    unsigned short offs[MAXBITS+1];     /* offsets in table for each length */
62    static const unsigned short lbase[31] = { /* Length codes 257..285 base */
63        3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17,
64        19, 23, 27, 31, 35, 43, 51, 59, 67, 83, 99, 115,
65        131, 163, 195, 227, 3, 0, 0};
66    static const unsigned short lext[31] = { /* Length codes 257..285 extra */
67        128, 128, 128, 128, 128, 128, 128, 128, 129, 129, 129, 129,
68        130, 130, 130, 130, 131, 131, 131, 131, 132, 132, 132, 132,
69        133, 133, 133, 133, 144, 201, 196};
70    static const unsigned short dbase[32] = { /* Distance codes 0..31 base */
71        1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49,
72        65, 97, 129, 193, 257, 385, 513, 769, 1025, 1537, 2049, 3073,
73        4097, 6145, 8193, 12289, 16385, 24577, 32769, 49153};
74    static const unsigned short dext[32] = { /* Distance codes 0..31 extra */
75        128, 128, 128, 128, 129, 129, 130, 130, 131, 131, 132, 132,
76        133, 133, 134, 134, 135, 135, 136, 136, 137, 137, 138, 138,
77        139, 139, 140, 140, 141, 141, 142, 142};
78
79    /*
80       Process a set of code lengths to create a canonical Huffman code.  The
81       code lengths are lens[0..codes-1].  Each length corresponds to the
82       symbols 0..codes-1.  The Huffman code is generated by first sorting the
83       symbols by length from short to long, and retaining the symbol order
84       for codes with equal lengths.  Then the code starts with all zero bits
85       for the first code of the shortest length, and the codes are integer
86       increments for the same length, and zeros are appended as the length
87       increases.  For the deflate format, these bits are stored backwards
88       from their more natural integer increment ordering, and so when the
89       decoding tables are built in the large loop below, the integer codes
90       are incremented backwards.
91
92       This routine assumes, but does not check, that all of the entries in
93       lens[] are in the range 0..MAXBITS.  The caller must assure this.
94       1..MAXBITS is interpreted as that code length.  zero means that that
95       symbol does not occur in this code.
96
97       The codes are sorted by computing a count of codes for each length,
98       creating from that a table of starting indices for each length in the
99       sorted table, and then entering the symbols in order in the sorted
100       table.  The sorted table is work[], with that space being provided by
101       the caller.
102
103       The length counts are used for other purposes as well, i.e. finding
104       the minimum and maximum length codes, determining if there are any
105       codes at all, checking for a valid set of lengths, and looking ahead
106       at length counts to determine sub-table sizes when building the
107       decoding tables.
108     */
109
110    /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
111    for (len = 0; len <= MAXBITS; len++)
112        count[len] = 0;
113    for (sym = 0; sym < codes; sym++)
114        count[lens[sym]]++;
115
116    /* bound code lengths, force root to be within code lengths */
117    root = *bits;
118    for (max = MAXBITS; max >= 1; max--)
119        if (count[max] != 0) break;
120    if (root > max) root = max;
121    if (max == 0) return -1;            /* no codes! */
122    for (min = 1; min <= MAXBITS; min++)
123        if (count[min] != 0) break;
124    if (root < min) root = min;
125
126    /* check for an over-subscribed or incomplete set of lengths */
127    left = 1;
128    for (len = 1; len <= MAXBITS; len++) {
129        left <<= 1;
130        left -= count[len];
131        if (left < 0) return -1;        /* over-subscribed */
132    }
133    if (left > 0 && (type == CODES || max != 1))
134        return -1;                      /* incomplete set */
135
136    /* generate offsets into symbol table for each length for sorting */
137    offs[1] = 0;
138    for (len = 1; len < MAXBITS; len++)
139        offs[len + 1] = offs[len] + count[len];
140
141    /* sort symbols by length, by symbol order within each length */
142    for (sym = 0; sym < codes; sym++)
143        if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
144
145    /*
146       Create and fill in decoding tables.  In this loop, the table being
147       filled is at next and has curr index bits.  The code being used is huff
148       with length len.  That code is converted to an index by dropping drop
149       bits off of the bottom.  For codes where len is less than drop + curr,
150       those top drop + curr - len bits are incremented through all values to
151       fill the table with replicated entries.
152
153       root is the number of index bits for the root table.  When len exceeds
154       root, sub-tables are created pointed to by the root entry with an index
155       of the low root bits of huff.  This is saved in low to check for when a
156       new sub-table should be started.  drop is zero when the root table is
157       being filled, and drop is root when sub-tables are being filled.
158
159       When a new sub-table is needed, it is necessary to look ahead in the
160       code lengths to determine what size sub-table is needed.  The length
161       counts are used for this, and so count[] is decremented as codes are
162       entered in the tables.
163
164       used keeps track of how many table entries have been allocated from the
165       provided *table space.  It is checked when a LENS table is being made
166       against the space in *table, ENOUGH, minus the maximum space needed by
167       the worst case distance code, MAXD.  This should never happen, but the
168       sufficiency of ENOUGH has not been proven exhaustively, hence the check.
169       This assumes that when type == LENS, bits == 9.
170
171       sym increments through all symbols, and the loop terminates when
172       all codes of length max, i.e. all codes, have been processed.  This
173       routine permits incomplete codes, so another loop after this one fills
174       in the rest of the decoding tables with invalid code markers.
175     */
176
177    /* set up for code type */
178    switch (type) {
179    case CODES:
180        base = extra = work;    /* dummy value--not used */
181        end = 19;
182        break;
183    case LENS:
184        base = lbase;
185        base -= 257;
186        extra = lext;
187        extra -= 257;
188        end = 256;
189        break;
190    default:            /* DISTS */
191        base = dbase;
192        extra = dext;
193        end = -1;
194    }
195
196    /* initialize state for loop */
197    huff = 0;                   /* starting code */
198    sym = 0;                    /* starting code symbol */
199    len = min;                  /* starting code length */
200    next = *table;              /* current table to fill in */
201    curr = root;                /* current table index bits */
202    drop = 0;                   /* current bits to drop from code for index */
203    low = (unsigned)(-1);       /* trigger new sub-table when len > root */
204    used = 1U << root;          /* use root table entries */
205    mask = used - 1;            /* mask for comparing low */
206
207    /* check available table space */
208    if (type == LENS && used >= ENOUGH - MAXD)
209        return 1;
210
211    /* process all codes and make table entries */
212    for (;;) {
213        /* create table entry */
214        this.bits = (unsigned char)(len - drop);
215        if ((int)(work[sym]) < end) {
216            this.op = (unsigned char)0;
217            this.val = work[sym];
218        }
219        else if ((int)(work[sym]) > end) {
220            this.op = (unsigned char)(extra[work[sym]]);
221            this.val = base[work[sym]];
222        }
223        else {
224            this.op = (unsigned char)(32 + 64);         /* end of block */
225            this.val = 0;
226        }
227
228        /* replicate for those indices with low len bits equal to huff */
229        incr = 1U << (len - drop);
230        fill = 1U << curr;
231        do {
232            fill -= incr;
233            next[(huff >> drop) + fill] = this;
234        } while (fill != 0);
235
236        /* backwards increment the len-bit code huff */
237        incr = 1U << (len - 1);
238        while (huff & incr)
239            incr >>= 1;
240        if (incr != 0) {
241            huff &= incr - 1;
242            huff += incr;
243        }
244        else
245            huff = 0;
246
247        /* go to next symbol, update count, len */
248        sym++;
249        if (--(count[len]) == 0) {
250            if (len == max) break;
251            len = lens[work[sym]];
252        }
253
254        /* create new sub-table if needed */
255        if (len > root && (huff & mask) != low) {
256            /* if first time, transition to sub-tables */
257            if (drop == 0)
258                drop = root;
259
260            /* increment past last table */
261            next += 1U << curr;
262
263            /* determine length of next table */
264            curr = len - drop;
265            left = (int)(1 << curr);
266            while (curr + drop < max) {
267                left -= count[curr + drop];
268                if (left <= 0) break;
269                curr++;
270                left <<= 1;
271            }
272
273            /* check for enough space */
274            used += 1U << curr;
275            if (type == LENS && used >= ENOUGH - MAXD)
276                return 1;
277
278            /* point entry in root table to sub-table */
279            low = huff & mask;
280            (*table)[low].op = (unsigned char)curr;
281            (*table)[low].bits = (unsigned char)root;
282            (*table)[low].val = (unsigned short)(next - *table);
283        }
284    }
285
286    /*
287       Fill in rest of table for incomplete codes.  This loop is similar to the
288       loop above in incrementing huff for table indices.  It is assumed that
289       len is equal to curr + drop, so there is no loop needed to increment
290       through high index bits.  When the current sub-table is filled, the loop
291       drops back to the root table to fill in any remaining entries there.
292     */
293    this.op = (unsigned char)64;                /* invalid code marker */
294    this.bits = (unsigned char)(len - drop);
295    this.val = (unsigned short)0;
296    while (huff != 0) {
297        /* when done with sub-table, drop back to root table */
298        if (drop != 0 && (huff & mask) != low) {
299            drop = 0;
300            len = root;
301            next = *table;
302            curr = root;
303            this.bits = (unsigned char)len;
304        }
305
306        /* put invalid code marker in table */
307        next[huff >> drop] = this;
308
309        /* backwards increment the len-bit code huff */
310        incr = 1U << (len - 1);
311        while (huff & incr)
312            incr >>= 1;
313        if (incr != 0) {
314            huff &= incr - 1;
315            huff += incr;
316        }
317        else
318            huff = 0;
319    }
320
321    /* set return parameters */
322    *table += used;
323    *bits = root;
324    return 0;
325}
326