1/* inftree9.c -- generate Huffman trees for efficient decoding
2 * Copyright (C) 1995-2024 Mark Adler
3 * For conditions of distribution and use, see copyright notice in zlib.h
4 */
5
6#include "zutil.h"
7#include "inftree9.h"
8
9#define MAXBITS 15
10
11const char inflate9_copyright[] =
12   " inflate9 1.3.1 Copyright 1995-2024 Mark Adler ";
13/*
14  If you use the zlib library in a product, an acknowledgment is welcome
15  in the documentation of your product. If for some reason you cannot
16  include such an acknowledgment, I would appreciate that you keep this
17  copyright string in the executable of your product.
18 */
19
20/*
21   Build a set of tables to decode the provided canonical Huffman code.
22   The code lengths are lens[0..codes-1].  The result starts at *table,
23   whose indices are 0..2^bits-1.  work is a writable array of at least
24   lens shorts, which is used as a work area.  type is the type of code
25   to be generated, CODES, LENS, or DISTS.  On return, zero is success,
26   -1 is an invalid code, and +1 means that ENOUGH isn't enough.  table
27   on return points to the next available entry's address.  bits is the
28   requested root table index bits, and on return it is the actual root
29   table index bits.  It will differ if the request is greater than the
30   longest code or if it is less than the shortest code.
31 */
32int inflate_table9(codetype type, unsigned short FAR *lens, unsigned codes,
33                   code FAR * FAR *table, unsigned FAR *bits,
34                   unsigned short FAR *work) {
35    unsigned len;               /* a code's length in bits */
36    unsigned sym;               /* index of code symbols */
37    unsigned min, max;          /* minimum and maximum code lengths */
38    unsigned root;              /* number of index bits for root table */
39    unsigned curr;              /* number of index bits for current table */
40    unsigned drop;              /* code bits to drop for sub-table */
41    int left;                   /* number of prefix codes available */
42    unsigned used;              /* code entries in table used */
43    unsigned huff;              /* Huffman code */
44    unsigned incr;              /* for incrementing code, index */
45    unsigned fill;              /* index for replicating entries */
46    unsigned low;               /* low bits for current root entry */
47    unsigned mask;              /* mask for low root bits */
48    code this;                  /* table entry for duplication */
49    code FAR *next;             /* next available space in table */
50    const unsigned short FAR *base;     /* base value table to use */
51    const unsigned short FAR *extra;    /* extra bits table to use */
52    int end;                    /* use base and extra for symbol > end */
53    unsigned short count[MAXBITS+1];    /* number of codes of each length */
54    unsigned short offs[MAXBITS+1];     /* offsets in table for each length */
55    static const unsigned short lbase[31] = { /* Length codes 257..285 base */
56        3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17,
57        19, 23, 27, 31, 35, 43, 51, 59, 67, 83, 99, 115,
58        131, 163, 195, 227, 3, 0, 0};
59    static const unsigned short lext[31] = { /* Length codes 257..285 extra */
60        128, 128, 128, 128, 128, 128, 128, 128, 129, 129, 129, 129,
61        130, 130, 130, 130, 131, 131, 131, 131, 132, 132, 132, 132,
62        133, 133, 133, 133, 144, 203, 77};
63    static const unsigned short dbase[32] = { /* Distance codes 0..31 base */
64        1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49,
65        65, 97, 129, 193, 257, 385, 513, 769, 1025, 1537, 2049, 3073,
66        4097, 6145, 8193, 12289, 16385, 24577, 32769, 49153};
67    static const unsigned short dext[32] = { /* Distance codes 0..31 extra */
68        128, 128, 128, 128, 129, 129, 130, 130, 131, 131, 132, 132,
69        133, 133, 134, 134, 135, 135, 136, 136, 137, 137, 138, 138,
70        139, 139, 140, 140, 141, 141, 142, 142};
71
72    /*
73       Process a set of code lengths to create a canonical Huffman code.  The
74       code lengths are lens[0..codes-1].  Each length corresponds to the
75       symbols 0..codes-1.  The Huffman code is generated by first sorting the
76       symbols by length from short to long, and retaining the symbol order
77       for codes with equal lengths.  Then the code starts with all zero bits
78       for the first code of the shortest length, and the codes are integer
79       increments for the same length, and zeros are appended as the length
80       increases.  For the deflate format, these bits are stored backwards
81       from their more natural integer increment ordering, and so when the
82       decoding tables are built in the large loop below, the integer codes
83       are incremented backwards.
84
85       This routine assumes, but does not check, that all of the entries in
86       lens[] are in the range 0..MAXBITS.  The caller must assure this.
87       1..MAXBITS is interpreted as that code length.  zero means that that
88       symbol does not occur in this code.
89
90       The codes are sorted by computing a count of codes for each length,
91       creating from that a table of starting indices for each length in the
92       sorted table, and then entering the symbols in order in the sorted
93       table.  The sorted table is work[], with that space being provided by
94       the caller.
95
96       The length counts are used for other purposes as well, i.e. finding
97       the minimum and maximum length codes, determining if there are any
98       codes at all, checking for a valid set of lengths, and looking ahead
99       at length counts to determine sub-table sizes when building the
100       decoding tables.
101     */
102
103    /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
104    for (len = 0; len <= MAXBITS; len++)
105        count[len] = 0;
106    for (sym = 0; sym < codes; sym++)
107        count[lens[sym]]++;
108
109    /* bound code lengths, force root to be within code lengths */
110    root = *bits;
111    for (max = MAXBITS; max >= 1; max--)
112        if (count[max] != 0) break;
113    if (root > max) root = max;
114    if (max == 0) return -1;            /* no codes! */
115    for (min = 1; min <= MAXBITS; min++)
116        if (count[min] != 0) break;
117    if (root < min) root = min;
118
119    /* check for an over-subscribed or incomplete set of lengths */
120    left = 1;
121    for (len = 1; len <= MAXBITS; len++) {
122        left <<= 1;
123        left -= count[len];
124        if (left < 0) return -1;        /* over-subscribed */
125    }
126    if (left > 0 && (type == CODES || max != 1))
127        return -1;                      /* incomplete set */
128
129    /* generate offsets into symbol table for each length for sorting */
130    offs[1] = 0;
131    for (len = 1; len < MAXBITS; len++)
132        offs[len + 1] = offs[len] + count[len];
133
134    /* sort symbols by length, by symbol order within each length */
135    for (sym = 0; sym < codes; sym++)
136        if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
137
138    /*
139       Create and fill in decoding tables.  In this loop, the table being
140       filled is at next and has curr index bits.  The code being used is huff
141       with length len.  That code is converted to an index by dropping drop
142       bits off of the bottom.  For codes where len is less than drop + curr,
143       those top drop + curr - len bits are incremented through all values to
144       fill the table with replicated entries.
145
146       root is the number of index bits for the root table.  When len exceeds
147       root, sub-tables are created pointed to by the root entry with an index
148       of the low root bits of huff.  This is saved in low to check for when a
149       new sub-table should be started.  drop is zero when the root table is
150       being filled, and drop is root when sub-tables are being filled.
151
152       When a new sub-table is needed, it is necessary to look ahead in the
153       code lengths to determine what size sub-table is needed.  The length
154       counts are used for this, and so count[] is decremented as codes are
155       entered in the tables.
156
157       used keeps track of how many table entries have been allocated from the
158       provided *table space.  It is checked for LENS and DIST tables against
159       the constants ENOUGH_LENS and ENOUGH_DISTS to guard against changes in
160       the initial root table size constants.  See the comments in inftree9.h
161       for more information.
162
163       sym increments through all symbols, and the loop terminates when
164       all codes of length max, i.e. all codes, have been processed.  This
165       routine permits incomplete codes, so another loop after this one fills
166       in the rest of the decoding tables with invalid code markers.
167     */
168
169    /* set up for code type */
170    switch (type) {
171    case CODES:
172        base = extra = work;    /* dummy value--not used */
173        end = 19;
174        break;
175    case LENS:
176        base = lbase;
177        base -= 257;
178        extra = lext;
179        extra -= 257;
180        end = 256;
181        break;
182    default:            /* DISTS */
183        base = dbase;
184        extra = dext;
185        end = -1;
186    }
187
188    /* initialize state for loop */
189    huff = 0;                   /* starting code */
190    sym = 0;                    /* starting code symbol */
191    len = min;                  /* starting code length */
192    next = *table;              /* current table to fill in */
193    curr = root;                /* current table index bits */
194    drop = 0;                   /* current bits to drop from code for index */
195    low = (unsigned)(-1);       /* trigger new sub-table when len > root */
196    used = 1U << root;          /* use root table entries */
197    mask = used - 1;            /* mask for comparing low */
198
199    /* check available table space */
200    if ((type == LENS && used >= ENOUGH_LENS) ||
201        (type == DISTS && used >= ENOUGH_DISTS))
202        return 1;
203
204    /* process all codes and make table entries */
205    for (;;) {
206        /* create table entry */
207        this.bits = (unsigned char)(len - drop);
208        if ((int)(work[sym]) < end) {
209            this.op = (unsigned char)0;
210            this.val = work[sym];
211        }
212        else if ((int)(work[sym]) > end) {
213            this.op = (unsigned char)(extra[work[sym]]);
214            this.val = base[work[sym]];
215        }
216        else {
217            this.op = (unsigned char)(32 + 64);         /* end of block */
218            this.val = 0;
219        }
220
221        /* replicate for those indices with low len bits equal to huff */
222        incr = 1U << (len - drop);
223        fill = 1U << curr;
224        do {
225            fill -= incr;
226            next[(huff >> drop) + fill] = this;
227        } while (fill != 0);
228
229        /* backwards increment the len-bit code huff */
230        incr = 1U << (len - 1);
231        while (huff & incr)
232            incr >>= 1;
233        if (incr != 0) {
234            huff &= incr - 1;
235            huff += incr;
236        }
237        else
238            huff = 0;
239
240        /* go to next symbol, update count, len */
241        sym++;
242        if (--(count[len]) == 0) {
243            if (len == max) break;
244            len = lens[work[sym]];
245        }
246
247        /* create new sub-table if needed */
248        if (len > root && (huff & mask) != low) {
249            /* if first time, transition to sub-tables */
250            if (drop == 0)
251                drop = root;
252
253            /* increment past last table */
254            next += 1U << curr;
255
256            /* determine length of next table */
257            curr = len - drop;
258            left = (int)(1 << curr);
259            while (curr + drop < max) {
260                left -= count[curr + drop];
261                if (left <= 0) break;
262                curr++;
263                left <<= 1;
264            }
265
266            /* check for enough space */
267            used += 1U << curr;
268            if ((type == LENS && used >= ENOUGH_LENS) ||
269                (type == DISTS && used >= ENOUGH_DISTS))
270                return 1;
271
272            /* point entry in root table to sub-table */
273            low = huff & mask;
274            (*table)[low].op = (unsigned char)curr;
275            (*table)[low].bits = (unsigned char)root;
276            (*table)[low].val = (unsigned short)(next - *table);
277        }
278    }
279
280    /*
281       Fill in rest of table for incomplete codes.  This loop is similar to the
282       loop above in incrementing huff for table indices.  It is assumed that
283       len is equal to curr + drop, so there is no loop needed to increment
284       through high index bits.  When the current sub-table is filled, the loop
285       drops back to the root table to fill in any remaining entries there.
286     */
287    this.op = (unsigned char)64;                /* invalid code marker */
288    this.bits = (unsigned char)(len - drop);
289    this.val = (unsigned short)0;
290    while (huff != 0) {
291        /* when done with sub-table, drop back to root table */
292        if (drop != 0 && (huff & mask) != low) {
293            drop = 0;
294            len = root;
295            next = *table;
296            curr = root;
297            this.bits = (unsigned char)len;
298        }
299
300        /* put invalid code marker in table */
301        next[huff >> drop] = this;
302
303        /* backwards increment the len-bit code huff */
304        incr = 1U << (len - 1);
305        while (huff & incr)
306            incr >>= 1;
307        if (incr != 0) {
308            huff &= incr - 1;
309            huff += incr;
310        }
311        else
312            huff = 0;
313    }
314
315    /* set return parameters */
316    *table += used;
317    *bits = root;
318    return 0;
319}
320