1 /* $NetBSD: inftrees.c,v 1.2 2006/01/16 03:23:10 christos Exp $ */
3 /* inftrees.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
13 const char inflate_copyright
[] =
14 " inflate 1.2.3 Copyright 1995-2005 Mark Adler ";
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.
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.
34 int inflate_table(type
, lens
, codes
, table
, bits
, work
)
36 unsigned short FAR
*lens
;
38 code FAR
* FAR
*table
;
40 unsigned short FAR
*work
;
42 unsigned len
; /* a code's length in bits */
43 unsigned sym
; /* index of code symbols */
44 unsigned mmin
, mmax
; /* 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, 19, 23, 27, 31,
64 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
65 static const unsigned short lext
[31] = { /* Length codes 257..285 extra */
66 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
67 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 201, 196};
68 static const unsigned short dbase
[32] = { /* Distance codes 0..29 base */
69 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
70 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
71 8193, 12289, 16385, 24577, 0, 0};
72 static const unsigned short dext
[32] = { /* Distance codes 0..29 extra */
73 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
74 23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
75 28, 28, 29, 29, 64, 64};
78 Process a set of code lengths to create a canonical Huffman code. The
79 code lengths are lens[0..codes-1]. Each length corresponds to the
80 symbols 0..codes-1. The Huffman code is generated by first sorting the
81 symbols by length from short to long, and retaining the symbol order
82 for codes with equal lengths. Then the code starts with all zero bits
83 for the first code of the shortest length, and the codes are integer
84 increments for the same length, and zeros are appended as the length
85 increases. For the deflate format, these bits are stored backwards
86 from their more natural integer increment ordering, and so when the
87 decoding tables are built in the large loop below, the integer codes
88 are incremented backwards.
90 This routine assumes, but does not check, that all of the entries in
91 lens[] are in the range 0..MAXBITS. The caller must assure this.
92 1..MAXBITS is interpreted as that code length. zero means that that
93 symbol does not occur in this code.
95 The codes are sorted by computing a count of codes for each length,
96 creating from that a table of starting indices for each length in the
97 sorted table, and then entering the symbols in order in the sorted
98 table. The sorted table is work[], with that space being provided by
101 The length counts are used for other purposes as well, i.e. finding
102 the minimum and maximum length codes, determining if there are any
103 codes at all, checking for a valid set of lengths, and looking ahead
104 at length counts to determine sub-table sizes when building the
108 /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
109 for (len
= 0; len
<= MAXBITS
; len
++)
111 for (sym
= 0; sym
< codes
; sym
++)
114 /* bound code lengths, force root to be within code lengths */
116 for (mmax
= MAXBITS
; mmax
>= 1; mmax
--)
117 if (count
[mmax
] != 0) break;
118 if (root
> mmax
) root
= mmax
;
119 if (mmax
== 0) { /* no symbols to code at all */
120 this.op
= (unsigned char)64; /* invalid code marker */
121 this.bits
= (unsigned char)1;
122 this.val
= (unsigned short)0;
123 *(*table
)++ = this; /* make a table to force an error */
126 return 0; /* no symbols, but wait for decoding to report error */
128 for (mmin
= 1; mmin
<= MAXBITS
; mmin
++)
129 if (count
[mmin
] != 0) break;
130 if (root
< mmin
) root
= mmin
;
132 /* check for an over-subscribed or incomplete set of lengths */
134 for (len
= 1; len
<= MAXBITS
; len
++) {
137 if (left
< 0) return -1; /* over-subscribed */
139 if (left
> 0 && (type
== CODES
|| mmax
!= 1))
140 return -1; /* incomplete set */
142 /* generate offsets into symbol table for each length for sorting */
144 for (len
= 1; len
< MAXBITS
; len
++)
145 offs
[len
+ 1] = offs
[len
] + count
[len
];
147 /* sort symbols by length, by symbol order within each length */
148 for (sym
= 0; sym
< codes
; sym
++)
149 if (lens
[sym
] != 0) work
[offs
[lens
[sym
]]++] = (unsigned short)sym
;
152 Create and fill in decoding tables. In this loop, the table being
153 filled is at next and has curr index bits. The code being used is huff
154 with length len. That code is converted to an index by dropping drop
155 bits off of the bottom. For codes where len is less than drop + curr,
156 those top drop + curr - len bits are incremented through all values to
157 fill the table with replicated entries.
159 root is the number of index bits for the root table. When len exceeds
160 root, sub-tables are created pointed to by the root entry with an index
161 of the low root bits of huff. This is saved in low to check for when a
162 new sub-table should be started. drop is zero when the root table is
163 being filled, and drop is root when sub-tables are being filled.
165 When a new sub-table is needed, it is necessary to look ahead in the
166 code lengths to determine what size sub-table is needed. The length
167 counts are used for this, and so count[] is decremented as codes are
168 entered in the tables.
170 used keeps track of how many table entries have been allocated from the
171 provided *table space. It is checked when a LENS table is being made
172 against the space in *table, ENOUGH, minus the maximum space needed by
173 the worst case distance code, MAXD. This should never happen, but the
174 sufficiency of ENOUGH has not been proven exhaustively, hence the check.
175 This assumes that when type == LENS, bits == 9.
177 sym increments through all symbols, and the loop terminates when
178 all codes of length mmax, i.e. all codes, have been processed. This
179 routine permits incomplete codes, so another loop after this one fills
180 in the rest of the decoding tables with invalid code markers.
183 /* set up for code type */
186 base
= extra
= work
; /* dummy value--not used */
202 /* initialize state for loop */
203 huff
= 0; /* starting code */
204 sym
= 0; /* starting code symbol */
205 len
= mmin
; /* starting code length */
206 next
= *table
; /* current table to fill in */
207 curr
= root
; /* current table index bits */
208 drop
= 0; /* current bits to drop from code for index */
209 low
= (unsigned)(-1); /* trigger new sub-table when len > root */
210 used
= 1U << root
; /* use root table entries */
211 mask
= used
- 1; /* mask for comparing low */
213 /* check available table space */
214 if (type
== LENS
&& used
>= ENOUGH
- MAXD
)
217 /* process all codes and make table entries */
219 /* create table entry */
220 this.bits
= (unsigned char)(len
- drop
);
221 if ((int)(work
[sym
]) < end
) {
222 this.op
= (unsigned char)0;
223 this.val
= work
[sym
];
225 else if ((int)(work
[sym
]) > end
) {
226 this.op
= (unsigned char)(extra
[work
[sym
]]);
227 this.val
= base
[work
[sym
]];
230 this.op
= (unsigned char)(32 + 64); /* end of block */
234 /* replicate for those indices with low len bits equal to huff */
235 incr
= 1U << (len
- drop
);
237 mmin
= fill
; /* save offset to next table */
240 next
[(huff
>> drop
) + fill
] = this;
243 /* backwards increment the len-bit code huff */
244 incr
= 1U << (len
- 1);
254 /* go to next symbol, update count, len */
256 if (--(count
[len
]) == 0) {
257 if (len
== mmax
) break;
258 len
= lens
[work
[sym
]];
261 /* create new sub-table if needed */
262 if (len
> root
&& (huff
& mask
) != low
) {
263 /* if first time, transition to sub-tables */
267 /* increment past last table */
268 next
+= mmin
; /* here mmin is 1 << curr */
270 /* determine length of next table */
272 left
= (int)(1 << curr
);
273 while (curr
+ drop
< mmax
) {
274 left
-= count
[curr
+ drop
];
275 if (left
<= 0) break;
280 /* check for enough space */
282 if (type
== LENS
&& used
>= ENOUGH
- MAXD
)
285 /* point entry in root table to sub-table */
287 (*table
)[low
].op
= (unsigned char)curr
;
288 (*table
)[low
].bits
= (unsigned char)root
;
289 (*table
)[low
].val
= (unsigned short)(next
- *table
);
294 Fill in rest of table for incomplete codes. This loop is similar to the
295 loop above in incrementing huff for table indices. It is assumed that
296 len is equal to curr + drop, so there is no loop needed to increment
297 through high index bits. When the current sub-table is filled, the loop
298 drops back to the root table to fill in any remaining entries there.
300 this.op
= (unsigned char)64; /* invalid code marker */
301 this.bits
= (unsigned char)(len
- drop
);
302 this.val
= (unsigned short)0;
304 /* when done with sub-table, drop back to root table */
305 if (drop
!= 0 && (huff
& mask
) != low
) {
309 this.bits
= (unsigned char)len
;
312 /* put invalid code marker in table */
313 next
[huff
>> drop
] = this;
315 /* backwards increment the len-bit code huff */
316 incr
= 1U << (len
- 1);
327 /* set return parameters */