Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 1 | /* inftrees.c -- generate Huffman trees for efficient decoding |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 2 | * Copyright (C) 1995-2005 Mark Adler |
| 3 | * For conditions of distribution and use, see copyright notice in zlib.h |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 4 | */ |
| 5 | |
| 6 | #include <linux/zutil.h> |
| 7 | #include "inftrees.h" |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 8 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 9 | #define MAXBITS 15 |
| 10 | |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 11 | /* |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 12 | Build a set of tables to decode the provided canonical Huffman code. |
| 13 | The code lengths are lens[0..codes-1]. The result starts at *table, |
| 14 | whose indices are 0..2^bits-1. work is a writable array of at least |
| 15 | lens shorts, which is used as a work area. type is the type of code |
| 16 | to be generated, CODES, LENS, or DISTS. On return, zero is success, |
| 17 | -1 is an invalid code, and +1 means that ENOUGH isn't enough. table |
| 18 | on return points to the next available entry's address. bits is the |
| 19 | requested root table index bits, and on return it is the actual root |
| 20 | table index bits. It will differ if the request is greater than the |
| 21 | longest code or if it is less than the shortest code. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 22 | */ |
Randy Dunlap | b762450 | 2006-06-27 02:53:26 -0700 | [diff] [blame] | 23 | int zlib_inflate_table(codetype type, unsigned short *lens, unsigned codes, |
| 24 | code **table, unsigned *bits, unsigned short *work) |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 25 | { |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 26 | unsigned len; /* a code's length in bits */ |
| 27 | unsigned sym; /* index of code symbols */ |
| 28 | unsigned min, max; /* minimum and maximum code lengths */ |
| 29 | unsigned root; /* number of index bits for root table */ |
| 30 | unsigned curr; /* number of index bits for current table */ |
| 31 | unsigned drop; /* code bits to drop for sub-table */ |
| 32 | int left; /* number of prefix codes available */ |
| 33 | unsigned used; /* code entries in table used */ |
| 34 | unsigned huff; /* Huffman code */ |
| 35 | unsigned incr; /* for incrementing code, index */ |
| 36 | unsigned fill; /* index for replicating entries */ |
| 37 | unsigned low; /* low bits for current root entry */ |
| 38 | unsigned mask; /* mask for low root bits */ |
| 39 | code this; /* table entry for duplication */ |
| 40 | code *next; /* next available space in table */ |
| 41 | const unsigned short *base; /* base value table to use */ |
| 42 | const unsigned short *extra; /* extra bits table to use */ |
| 43 | int end; /* use base and extra for symbol > end */ |
| 44 | unsigned short count[MAXBITS+1]; /* number of codes of each length */ |
| 45 | unsigned short offs[MAXBITS+1]; /* offsets in table for each length */ |
| 46 | static const unsigned short lbase[31] = { /* Length codes 257..285 base */ |
| 47 | 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31, |
| 48 | 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0}; |
| 49 | static const unsigned short lext[31] = { /* Length codes 257..285 extra */ |
| 50 | 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, |
| 51 | 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 201, 196}; |
| 52 | static const unsigned short dbase[32] = { /* Distance codes 0..29 base */ |
| 53 | 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193, |
| 54 | 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145, |
| 55 | 8193, 12289, 16385, 24577, 0, 0}; |
| 56 | static const unsigned short dext[32] = { /* Distance codes 0..29 extra */ |
| 57 | 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, |
| 58 | 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, |
| 59 | 28, 28, 29, 29, 64, 64}; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 60 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 61 | /* |
| 62 | Process a set of code lengths to create a canonical Huffman code. The |
| 63 | code lengths are lens[0..codes-1]. Each length corresponds to the |
| 64 | symbols 0..codes-1. The Huffman code is generated by first sorting the |
| 65 | symbols by length from short to long, and retaining the symbol order |
| 66 | for codes with equal lengths. Then the code starts with all zero bits |
| 67 | for the first code of the shortest length, and the codes are integer |
| 68 | increments for the same length, and zeros are appended as the length |
| 69 | increases. For the deflate format, these bits are stored backwards |
| 70 | from their more natural integer increment ordering, and so when the |
| 71 | decoding tables are built in the large loop below, the integer codes |
| 72 | are incremented backwards. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 73 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 74 | This routine assumes, but does not check, that all of the entries in |
| 75 | lens[] are in the range 0..MAXBITS. The caller must assure this. |
| 76 | 1..MAXBITS is interpreted as that code length. zero means that that |
| 77 | symbol does not occur in this code. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 78 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 79 | The codes are sorted by computing a count of codes for each length, |
| 80 | creating from that a table of starting indices for each length in the |
| 81 | sorted table, and then entering the symbols in order in the sorted |
| 82 | table. The sorted table is work[], with that space being provided by |
| 83 | the caller. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 84 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 85 | The length counts are used for other purposes as well, i.e. finding |
| 86 | the minimum and maximum length codes, determining if there are any |
| 87 | codes at all, checking for a valid set of lengths, and looking ahead |
| 88 | at length counts to determine sub-table sizes when building the |
| 89 | decoding tables. |
| 90 | */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 91 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 92 | /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */ |
| 93 | for (len = 0; len <= MAXBITS; len++) |
| 94 | count[len] = 0; |
| 95 | for (sym = 0; sym < codes; sym++) |
| 96 | count[lens[sym]]++; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 97 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 98 | /* bound code lengths, force root to be within code lengths */ |
| 99 | root = *bits; |
| 100 | for (max = MAXBITS; max >= 1; max--) |
| 101 | if (count[max] != 0) break; |
| 102 | if (root > max) root = max; |
| 103 | if (max == 0) { /* no symbols to code at all */ |
| 104 | this.op = (unsigned char)64; /* invalid code marker */ |
| 105 | this.bits = (unsigned char)1; |
| 106 | this.val = (unsigned short)0; |
| 107 | *(*table)++ = this; /* make a table to force an error */ |
| 108 | *(*table)++ = this; |
| 109 | *bits = 1; |
| 110 | return 0; /* no symbols, but wait for decoding to report error */ |
| 111 | } |
| 112 | for (min = 1; min <= MAXBITS; min++) |
| 113 | if (count[min] != 0) break; |
| 114 | if (root < min) root = min; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 115 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 116 | /* check for an over-subscribed or incomplete set of lengths */ |
| 117 | left = 1; |
| 118 | for (len = 1; len <= MAXBITS; len++) { |
| 119 | left <<= 1; |
| 120 | left -= count[len]; |
| 121 | if (left < 0) return -1; /* over-subscribed */ |
| 122 | } |
| 123 | if (left > 0 && (type == CODES || max != 1)) |
| 124 | return -1; /* incomplete set */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 125 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 126 | /* generate offsets into symbol table for each length for sorting */ |
| 127 | offs[1] = 0; |
| 128 | for (len = 1; len < MAXBITS; len++) |
| 129 | offs[len + 1] = offs[len] + count[len]; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 130 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 131 | /* sort symbols by length, by symbol order within each length */ |
| 132 | for (sym = 0; sym < codes; sym++) |
| 133 | if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 134 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 135 | /* |
| 136 | Create and fill in decoding tables. In this loop, the table being |
| 137 | filled is at next and has curr index bits. The code being used is huff |
| 138 | with length len. That code is converted to an index by dropping drop |
| 139 | bits off of the bottom. For codes where len is less than drop + curr, |
| 140 | those top drop + curr - len bits are incremented through all values to |
| 141 | fill the table with replicated entries. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 142 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 143 | root is the number of index bits for the root table. When len exceeds |
| 144 | root, sub-tables are created pointed to by the root entry with an index |
| 145 | of the low root bits of huff. This is saved in low to check for when a |
| 146 | new sub-table should be started. drop is zero when the root table is |
| 147 | being filled, and drop is root when sub-tables are being filled. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 148 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 149 | When a new sub-table is needed, it is necessary to look ahead in the |
| 150 | code lengths to determine what size sub-table is needed. The length |
| 151 | counts are used for this, and so count[] is decremented as codes are |
| 152 | entered in the tables. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 153 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 154 | used keeps track of how many table entries have been allocated from the |
| 155 | provided *table space. It is checked when a LENS table is being made |
| 156 | against the space in *table, ENOUGH, minus the maximum space needed by |
| 157 | the worst case distance code, MAXD. This should never happen, but the |
| 158 | sufficiency of ENOUGH has not been proven exhaustively, hence the check. |
| 159 | This assumes that when type == LENS, bits == 9. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 160 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 161 | sym increments through all symbols, and the loop terminates when |
| 162 | all codes of length max, i.e. all codes, have been processed. This |
| 163 | routine permits incomplete codes, so another loop after this one fills |
| 164 | in the rest of the decoding tables with invalid code markers. |
| 165 | */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 166 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 167 | /* set up for code type */ |
| 168 | switch (type) { |
| 169 | case CODES: |
| 170 | base = extra = work; /* dummy value--not used */ |
| 171 | end = 19; |
| 172 | break; |
| 173 | case LENS: |
| 174 | base = lbase; |
| 175 | base -= 257; |
| 176 | extra = lext; |
| 177 | extra -= 257; |
| 178 | end = 256; |
| 179 | break; |
| 180 | default: /* DISTS */ |
| 181 | base = dbase; |
| 182 | extra = dext; |
| 183 | end = -1; |
| 184 | } |
| 185 | |
| 186 | /* initialize state for loop */ |
| 187 | huff = 0; /* starting code */ |
| 188 | sym = 0; /* starting code symbol */ |
| 189 | len = min; /* starting code length */ |
| 190 | next = *table; /* current table to fill in */ |
| 191 | curr = root; /* current table index bits */ |
| 192 | drop = 0; /* current bits to drop from code for index */ |
| 193 | low = (unsigned)(-1); /* trigger new sub-table when len > root */ |
| 194 | used = 1U << root; /* use root table entries */ |
| 195 | mask = used - 1; /* mask for comparing low */ |
| 196 | |
| 197 | /* check available table space */ |
| 198 | if (type == LENS && used >= ENOUGH - MAXD) |
| 199 | return 1; |
| 200 | |
| 201 | /* process all codes and make table entries */ |
| 202 | for (;;) { |
| 203 | /* create table entry */ |
| 204 | this.bits = (unsigned char)(len - drop); |
| 205 | if ((int)(work[sym]) < end) { |
| 206 | this.op = (unsigned char)0; |
| 207 | this.val = work[sym]; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 208 | } |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 209 | else if ((int)(work[sym]) > end) { |
| 210 | this.op = (unsigned char)(extra[work[sym]]); |
| 211 | this.val = base[work[sym]]; |
| 212 | } |
| 213 | else { |
| 214 | this.op = (unsigned char)(32 + 64); /* end of block */ |
| 215 | this.val = 0; |
| 216 | } |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 217 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 218 | /* replicate for those indices with low len bits equal to huff */ |
| 219 | incr = 1U << (len - drop); |
| 220 | fill = 1U << curr; |
| 221 | min = fill; /* save offset to next table */ |
| 222 | do { |
| 223 | fill -= incr; |
| 224 | next[(huff >> drop) + fill] = this; |
| 225 | } while (fill != 0); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 226 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 227 | /* backwards increment the len-bit code huff */ |
| 228 | incr = 1U << (len - 1); |
| 229 | while (huff & incr) |
| 230 | incr >>= 1; |
| 231 | if (incr != 0) { |
| 232 | huff &= incr - 1; |
| 233 | huff += incr; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 234 | } |
| 235 | else |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 236 | huff = 0; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 237 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 238 | /* go to next symbol, update count, len */ |
| 239 | sym++; |
| 240 | if (--(count[len]) == 0) { |
| 241 | if (len == max) break; |
| 242 | len = lens[work[sym]]; |
| 243 | } |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 244 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 245 | /* create new sub-table if needed */ |
| 246 | if (len > root && (huff & mask) != low) { |
| 247 | /* if first time, transition to sub-tables */ |
| 248 | if (drop == 0) |
| 249 | drop = root; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 250 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 251 | /* increment past last table */ |
| 252 | next += min; /* here min is 1 << curr */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 253 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 254 | /* determine length of next table */ |
| 255 | curr = len - drop; |
| 256 | left = (int)(1 << curr); |
| 257 | while (curr + drop < max) { |
| 258 | left -= count[curr + drop]; |
| 259 | if (left <= 0) break; |
| 260 | curr++; |
| 261 | left <<= 1; |
| 262 | } |
| 263 | |
| 264 | /* check for enough space */ |
| 265 | used += 1U << curr; |
| 266 | if (type == LENS && used >= ENOUGH - MAXD) |
| 267 | return 1; |
| 268 | |
| 269 | /* point entry in root table to sub-table */ |
| 270 | low = huff & mask; |
| 271 | (*table)[low].op = (unsigned char)curr; |
| 272 | (*table)[low].bits = (unsigned char)root; |
| 273 | (*table)[low].val = (unsigned short)(next - *table); |
| 274 | } |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 275 | } |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 276 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 277 | /* |
| 278 | Fill in rest of table for incomplete codes. This loop is similar to the |
| 279 | loop above in incrementing huff for table indices. It is assumed that |
| 280 | len is equal to curr + drop, so there is no loop needed to increment |
| 281 | through high index bits. When the current sub-table is filled, the loop |
| 282 | drops back to the root table to fill in any remaining entries there. |
| 283 | */ |
| 284 | this.op = (unsigned char)64; /* invalid code marker */ |
| 285 | this.bits = (unsigned char)(len - drop); |
| 286 | this.val = (unsigned short)0; |
| 287 | while (huff != 0) { |
| 288 | /* when done with sub-table, drop back to root table */ |
| 289 | if (drop != 0 && (huff & mask) != low) { |
| 290 | drop = 0; |
| 291 | len = root; |
| 292 | next = *table; |
| 293 | this.bits = (unsigned char)len; |
| 294 | } |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 295 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 296 | /* put invalid code marker in table */ |
| 297 | next[huff >> drop] = this; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 298 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 299 | /* backwards increment the len-bit code huff */ |
| 300 | incr = 1U << (len - 1); |
| 301 | while (huff & incr) |
| 302 | incr >>= 1; |
| 303 | if (incr != 0) { |
| 304 | huff &= incr - 1; |
| 305 | huff += incr; |
| 306 | } |
| 307 | else |
| 308 | huff = 0; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 309 | } |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 310 | |
Richard Purdie | 4f3865f | 2006-06-22 14:47:34 -0700 | [diff] [blame] | 311 | /* set return parameters */ |
| 312 | *table += used; |
| 313 | *bits = root; |
| 314 | return 0; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 315 | } |