1ab9e68a2SToomas Soome /* inftrees.c -- generate Huffman trees for efficient decoding 2*64c3d159SToomas Soome * Copyright (C) 1995-2022 Mark Adler 3ab9e68a2SToomas Soome * For conditions of distribution and use, see copyright notice in zlib.h 4ab9e68a2SToomas Soome */ 5ab9e68a2SToomas Soome 6ab9e68a2SToomas Soome #include "zutil.h" 7ab9e68a2SToomas Soome #include "inftrees.h" 8ab9e68a2SToomas Soome 9ab9e68a2SToomas Soome #define MAXBITS 15 10ab9e68a2SToomas Soome 11ab9e68a2SToomas Soome const char inflate_copyright[] = 12*64c3d159SToomas Soome " inflate 1.2.12 Copyright 1995-2022 Mark Adler "; 13ab9e68a2SToomas Soome /* 14ab9e68a2SToomas Soome If you use the zlib library in a product, an acknowledgment is welcome 15ab9e68a2SToomas Soome in the documentation of your product. If for some reason you cannot 16ab9e68a2SToomas Soome include such an acknowledgment, I would appreciate that you keep this 17ab9e68a2SToomas Soome copyright string in the executable of your product. 18ab9e68a2SToomas Soome */ 19ab9e68a2SToomas Soome 20ab9e68a2SToomas Soome /* 21ab9e68a2SToomas Soome Build a set of tables to decode the provided canonical Huffman code. 22ab9e68a2SToomas Soome The code lengths are lens[0..codes-1]. The result starts at *table, 23ab9e68a2SToomas Soome whose indices are 0..2^bits-1. work is a writable array of at least 24ab9e68a2SToomas Soome lens shorts, which is used as a work area. type is the type of code 25ab9e68a2SToomas Soome to be generated, CODES, LENS, or DISTS. On return, zero is success, 26ab9e68a2SToomas Soome -1 is an invalid code, and +1 means that ENOUGH isn't enough. table 27ab9e68a2SToomas Soome on return points to the next available entry's address. bits is the 28ab9e68a2SToomas Soome requested root table index bits, and on return it is the actual root 29ab9e68a2SToomas Soome table index bits. It will differ if the request is greater than the 30ab9e68a2SToomas Soome longest code or if it is less than the shortest code. 31ab9e68a2SToomas Soome */ 32ab9e68a2SToomas Soome int ZLIB_INTERNAL inflate_table(codetype type, unsigned short FAR *lens, 33ab9e68a2SToomas Soome unsigned codes, code FAR * FAR *table, unsigned FAR *bits, 34ab9e68a2SToomas Soome unsigned short FAR *work) 35ab9e68a2SToomas Soome { 36ab9e68a2SToomas Soome unsigned len; /* a code's length in bits */ 37ab9e68a2SToomas Soome unsigned sym; /* index of code symbols */ 38ab9e68a2SToomas Soome unsigned min, max; /* minimum and maximum code lengths */ 39ab9e68a2SToomas Soome unsigned root; /* number of index bits for root table */ 40ab9e68a2SToomas Soome unsigned curr; /* number of index bits for current table */ 41ab9e68a2SToomas Soome unsigned drop; /* code bits to drop for sub-table */ 42ab9e68a2SToomas Soome int left; /* number of prefix codes available */ 43ab9e68a2SToomas Soome unsigned used; /* code entries in table used */ 44ab9e68a2SToomas Soome unsigned huff; /* Huffman code */ 45ab9e68a2SToomas Soome unsigned incr; /* for incrementing code, index */ 46ab9e68a2SToomas Soome unsigned fill; /* index for replicating entries */ 47ab9e68a2SToomas Soome unsigned low; /* low bits for current root entry */ 48ab9e68a2SToomas Soome unsigned mask; /* mask for low root bits */ 49ab9e68a2SToomas Soome code here; /* table entry for duplication */ 50ab9e68a2SToomas Soome code FAR *next; /* next available space in table */ 51ab9e68a2SToomas Soome const unsigned short FAR *base; /* base value table to use */ 52ab9e68a2SToomas Soome const unsigned short FAR *extra; /* extra bits table to use */ 53ab9e68a2SToomas Soome unsigned match; /* use base and extra for symbol >= match */ 54ab9e68a2SToomas Soome unsigned short count[MAXBITS+1]; /* number of codes of each length */ 55ab9e68a2SToomas Soome unsigned short offs[MAXBITS+1]; /* offsets in table for each length */ 56ab9e68a2SToomas Soome static const unsigned short lbase[31] = { /* Length codes 257..285 base */ 57ab9e68a2SToomas Soome 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31, 58ab9e68a2SToomas Soome 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0}; 59ab9e68a2SToomas Soome static const unsigned short lext[31] = { /* Length codes 257..285 extra */ 60ab9e68a2SToomas Soome 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 61*64c3d159SToomas Soome 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 199, 202}; 62ab9e68a2SToomas Soome static const unsigned short dbase[32] = { /* Distance codes 0..29 base */ 63ab9e68a2SToomas Soome 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193, 64ab9e68a2SToomas Soome 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145, 65ab9e68a2SToomas Soome 8193, 12289, 16385, 24577, 0, 0}; 66ab9e68a2SToomas Soome static const unsigned short dext[32] = { /* Distance codes 0..29 extra */ 67ab9e68a2SToomas Soome 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 68ab9e68a2SToomas Soome 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 69ab9e68a2SToomas Soome 28, 28, 29, 29, 64, 64}; 70ab9e68a2SToomas Soome 71ab9e68a2SToomas Soome /* 72ab9e68a2SToomas Soome Process a set of code lengths to create a canonical Huffman code. The 73ab9e68a2SToomas Soome code lengths are lens[0..codes-1]. Each length corresponds to the 74ab9e68a2SToomas Soome symbols 0..codes-1. The Huffman code is generated by first sorting the 75ab9e68a2SToomas Soome symbols by length from short to long, and retaining the symbol order 76ab9e68a2SToomas Soome for codes with equal lengths. Then the code starts with all zero bits 77ab9e68a2SToomas Soome for the first code of the shortest length, and the codes are integer 78ab9e68a2SToomas Soome increments for the same length, and zeros are appended as the length 79ab9e68a2SToomas Soome increases. For the deflate format, these bits are stored backwards 80ab9e68a2SToomas Soome from their more natural integer increment ordering, and so when the 81ab9e68a2SToomas Soome decoding tables are built in the large loop below, the integer codes 82ab9e68a2SToomas Soome are incremented backwards. 83ab9e68a2SToomas Soome 84ab9e68a2SToomas Soome This routine assumes, but does not check, that all of the entries in 85ab9e68a2SToomas Soome lens[] are in the range 0..MAXBITS. The caller must assure this. 86ab9e68a2SToomas Soome 1..MAXBITS is interpreted as that code length. zero means that that 87ab9e68a2SToomas Soome symbol does not occur in this code. 88ab9e68a2SToomas Soome 89ab9e68a2SToomas Soome The codes are sorted by computing a count of codes for each length, 90ab9e68a2SToomas Soome creating from that a table of starting indices for each length in the 91ab9e68a2SToomas Soome sorted table, and then entering the symbols in order in the sorted 92ab9e68a2SToomas Soome table. The sorted table is work[], with that space being provided by 93ab9e68a2SToomas Soome the caller. 94ab9e68a2SToomas Soome 95ab9e68a2SToomas Soome The length counts are used for other purposes as well, i.e. finding 96ab9e68a2SToomas Soome the minimum and maximum length codes, determining if there are any 97ab9e68a2SToomas Soome codes at all, checking for a valid set of lengths, and looking ahead 98ab9e68a2SToomas Soome at length counts to determine sub-table sizes when building the 99ab9e68a2SToomas Soome decoding tables. 100ab9e68a2SToomas Soome */ 101ab9e68a2SToomas Soome 102ab9e68a2SToomas Soome /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */ 103ab9e68a2SToomas Soome for (len = 0; len <= MAXBITS; len++) 104ab9e68a2SToomas Soome count[len] = 0; 105ab9e68a2SToomas Soome for (sym = 0; sym < codes; sym++) 106ab9e68a2SToomas Soome count[lens[sym]]++; 107ab9e68a2SToomas Soome 108ab9e68a2SToomas Soome /* bound code lengths, force root to be within code lengths */ 109ab9e68a2SToomas Soome root = *bits; 110ab9e68a2SToomas Soome for (max = MAXBITS; max >= 1; max--) 111ab9e68a2SToomas Soome if (count[max] != 0) break; 112ab9e68a2SToomas Soome if (root > max) root = max; 113ab9e68a2SToomas Soome if (max == 0) { /* no symbols to code at all */ 114ab9e68a2SToomas Soome here.op = (unsigned char)64; /* invalid code marker */ 115ab9e68a2SToomas Soome here.bits = (unsigned char)1; 116ab9e68a2SToomas Soome here.val = (unsigned short)0; 117ab9e68a2SToomas Soome *(*table)++ = here; /* make a table to force an error */ 118ab9e68a2SToomas Soome *(*table)++ = here; 119ab9e68a2SToomas Soome *bits = 1; 120ab9e68a2SToomas Soome return 0; /* no symbols, but wait for decoding to report error */ 121ab9e68a2SToomas Soome } 122ab9e68a2SToomas Soome for (min = 1; min < max; min++) 123ab9e68a2SToomas Soome if (count[min] != 0) break; 124ab9e68a2SToomas Soome if (root < min) root = min; 125ab9e68a2SToomas Soome 126ab9e68a2SToomas Soome /* check for an over-subscribed or incomplete set of lengths */ 127ab9e68a2SToomas Soome left = 1; 128ab9e68a2SToomas Soome for (len = 1; len <= MAXBITS; len++) { 129ab9e68a2SToomas Soome left <<= 1; 130ab9e68a2SToomas Soome left -= count[len]; 131ab9e68a2SToomas Soome if (left < 0) return -1; /* over-subscribed */ 132ab9e68a2SToomas Soome } 133ab9e68a2SToomas Soome if (left > 0 && (type == CODES || max != 1)) 134ab9e68a2SToomas Soome return -1; /* incomplete set */ 135ab9e68a2SToomas Soome 136ab9e68a2SToomas Soome /* generate offsets into symbol table for each length for sorting */ 137ab9e68a2SToomas Soome offs[1] = 0; 138ab9e68a2SToomas Soome for (len = 1; len < MAXBITS; len++) 139ab9e68a2SToomas Soome offs[len + 1] = offs[len] + count[len]; 140ab9e68a2SToomas Soome 141ab9e68a2SToomas Soome /* sort symbols by length, by symbol order within each length */ 142ab9e68a2SToomas Soome for (sym = 0; sym < codes; sym++) 143ab9e68a2SToomas Soome if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym; 144ab9e68a2SToomas Soome 145ab9e68a2SToomas Soome /* 146ab9e68a2SToomas Soome Create and fill in decoding tables. In this loop, the table being 147ab9e68a2SToomas Soome filled is at next and has curr index bits. The code being used is huff 148ab9e68a2SToomas Soome with length len. That code is converted to an index by dropping drop 149ab9e68a2SToomas Soome bits off of the bottom. For codes where len is less than drop + curr, 150ab9e68a2SToomas Soome those top drop + curr - len bits are incremented through all values to 151ab9e68a2SToomas Soome fill the table with replicated entries. 152ab9e68a2SToomas Soome 153ab9e68a2SToomas Soome root is the number of index bits for the root table. When len exceeds 154ab9e68a2SToomas Soome root, sub-tables are created pointed to by the root entry with an index 155ab9e68a2SToomas Soome of the low root bits of huff. This is saved in low to check for when a 156ab9e68a2SToomas Soome new sub-table should be started. drop is zero when the root table is 157ab9e68a2SToomas Soome being filled, and drop is root when sub-tables are being filled. 158ab9e68a2SToomas Soome 159ab9e68a2SToomas Soome When a new sub-table is needed, it is necessary to look ahead in the 160ab9e68a2SToomas Soome code lengths to determine what size sub-table is needed. The length 161ab9e68a2SToomas Soome counts are used for this, and so count[] is decremented as codes are 162ab9e68a2SToomas Soome entered in the tables. 163ab9e68a2SToomas Soome 164ab9e68a2SToomas Soome used keeps track of how many table entries have been allocated from the 165ab9e68a2SToomas Soome provided *table space. It is checked for LENS and DIST tables against 166ab9e68a2SToomas Soome the constants ENOUGH_LENS and ENOUGH_DISTS to guard against changes in 167ab9e68a2SToomas Soome the initial root table size constants. See the comments in inftrees.h 168ab9e68a2SToomas Soome for more information. 169ab9e68a2SToomas Soome 170ab9e68a2SToomas Soome sym increments through all symbols, and the loop terminates when 171ab9e68a2SToomas Soome all codes of length max, i.e. all codes, have been processed. This 172ab9e68a2SToomas Soome routine permits incomplete codes, so another loop after this one fills 173ab9e68a2SToomas Soome in the rest of the decoding tables with invalid code markers. 174ab9e68a2SToomas Soome */ 175ab9e68a2SToomas Soome 176ab9e68a2SToomas Soome /* set up for code type */ 177ab9e68a2SToomas Soome switch (type) { 178ab9e68a2SToomas Soome case CODES: 179ab9e68a2SToomas Soome base = extra = work; /* dummy value--not used */ 180ab9e68a2SToomas Soome match = 20; 181ab9e68a2SToomas Soome break; 182ab9e68a2SToomas Soome case LENS: 183ab9e68a2SToomas Soome base = lbase; 184ab9e68a2SToomas Soome extra = lext; 185ab9e68a2SToomas Soome match = 257; 186ab9e68a2SToomas Soome break; 187ab9e68a2SToomas Soome default: /* DISTS */ 188ab9e68a2SToomas Soome base = dbase; 189ab9e68a2SToomas Soome extra = dext; 190ab9e68a2SToomas Soome match = 0; 191ab9e68a2SToomas Soome } 192ab9e68a2SToomas Soome 193ab9e68a2SToomas Soome /* initialize state for loop */ 194ab9e68a2SToomas Soome huff = 0; /* starting code */ 195ab9e68a2SToomas Soome sym = 0; /* starting code symbol */ 196ab9e68a2SToomas Soome len = min; /* starting code length */ 197ab9e68a2SToomas Soome next = *table; /* current table to fill in */ 198ab9e68a2SToomas Soome curr = root; /* current table index bits */ 199ab9e68a2SToomas Soome drop = 0; /* current bits to drop from code for index */ 200ab9e68a2SToomas Soome low = (unsigned)(-1); /* trigger new sub-table when len > root */ 201ab9e68a2SToomas Soome used = 1U << root; /* use root table entries */ 202ab9e68a2SToomas Soome mask = used - 1; /* mask for comparing low */ 203ab9e68a2SToomas Soome 204ab9e68a2SToomas Soome /* check available table space */ 205ab9e68a2SToomas Soome if ((type == LENS && used > ENOUGH_LENS) || 206ab9e68a2SToomas Soome (type == DISTS && used > ENOUGH_DISTS)) 207ab9e68a2SToomas Soome return 1; 208ab9e68a2SToomas Soome 209ab9e68a2SToomas Soome /* process all codes and make table entries */ 210ab9e68a2SToomas Soome for (;;) { 211ab9e68a2SToomas Soome /* create table entry */ 212ab9e68a2SToomas Soome here.bits = (unsigned char)(len - drop); 213ab9e68a2SToomas Soome if (work[sym] + 1U < match) { 214ab9e68a2SToomas Soome here.op = (unsigned char)0; 215ab9e68a2SToomas Soome here.val = work[sym]; 216ab9e68a2SToomas Soome } 217ab9e68a2SToomas Soome else if (work[sym] >= match) { 218ab9e68a2SToomas Soome here.op = (unsigned char)(extra[work[sym] - match]); 219ab9e68a2SToomas Soome here.val = base[work[sym] - match]; 220ab9e68a2SToomas Soome } 221ab9e68a2SToomas Soome else { 222ab9e68a2SToomas Soome here.op = (unsigned char)(32 + 64); /* end of block */ 223ab9e68a2SToomas Soome here.val = 0; 224ab9e68a2SToomas Soome } 225ab9e68a2SToomas Soome 226ab9e68a2SToomas Soome /* replicate for those indices with low len bits equal to huff */ 227ab9e68a2SToomas Soome incr = 1U << (len - drop); 228ab9e68a2SToomas Soome fill = 1U << curr; 229ab9e68a2SToomas Soome min = fill; /* save offset to next table */ 230ab9e68a2SToomas Soome do { 231ab9e68a2SToomas Soome fill -= incr; 232ab9e68a2SToomas Soome next[(huff >> drop) + fill] = here; 233ab9e68a2SToomas Soome } while (fill != 0); 234ab9e68a2SToomas Soome 235ab9e68a2SToomas Soome /* backwards increment the len-bit code huff */ 236ab9e68a2SToomas Soome incr = 1U << (len - 1); 237ab9e68a2SToomas Soome while (huff & incr) 238ab9e68a2SToomas Soome incr >>= 1; 239ab9e68a2SToomas Soome if (incr != 0) { 240ab9e68a2SToomas Soome huff &= incr - 1; 241ab9e68a2SToomas Soome huff += incr; 242ab9e68a2SToomas Soome } 243ab9e68a2SToomas Soome else 244ab9e68a2SToomas Soome huff = 0; 245ab9e68a2SToomas Soome 246ab9e68a2SToomas Soome /* go to next symbol, update count, len */ 247ab9e68a2SToomas Soome sym++; 248ab9e68a2SToomas Soome if (--(count[len]) == 0) { 249ab9e68a2SToomas Soome if (len == max) break; 250ab9e68a2SToomas Soome len = lens[work[sym]]; 251ab9e68a2SToomas Soome } 252ab9e68a2SToomas Soome 253ab9e68a2SToomas Soome /* create new sub-table if needed */ 254ab9e68a2SToomas Soome if (len > root && (huff & mask) != low) { 255ab9e68a2SToomas Soome /* if first time, transition to sub-tables */ 256ab9e68a2SToomas Soome if (drop == 0) 257ab9e68a2SToomas Soome drop = root; 258ab9e68a2SToomas Soome 259ab9e68a2SToomas Soome /* increment past last table */ 260ab9e68a2SToomas Soome next += min; /* here min is 1 << curr */ 261ab9e68a2SToomas Soome 262ab9e68a2SToomas Soome /* determine length of next table */ 263ab9e68a2SToomas Soome curr = len - drop; 264ab9e68a2SToomas Soome left = (int)(1 << curr); 265ab9e68a2SToomas Soome while (curr + drop < max) { 266ab9e68a2SToomas Soome left -= count[curr + drop]; 267ab9e68a2SToomas Soome if (left <= 0) break; 268ab9e68a2SToomas Soome curr++; 269ab9e68a2SToomas Soome left <<= 1; 270ab9e68a2SToomas Soome } 271ab9e68a2SToomas Soome 272ab9e68a2SToomas Soome /* check for enough space */ 273ab9e68a2SToomas Soome used += 1U << curr; 274ab9e68a2SToomas Soome if ((type == LENS && used > ENOUGH_LENS) || 275ab9e68a2SToomas Soome (type == DISTS && used > ENOUGH_DISTS)) 276ab9e68a2SToomas Soome return 1; 277ab9e68a2SToomas Soome 278ab9e68a2SToomas Soome /* point entry in root table to sub-table */ 279ab9e68a2SToomas Soome low = huff & mask; 280ab9e68a2SToomas Soome (*table)[low].op = (unsigned char)curr; 281ab9e68a2SToomas Soome (*table)[low].bits = (unsigned char)root; 282ab9e68a2SToomas Soome (*table)[low].val = (unsigned short)(next - *table); 283ab9e68a2SToomas Soome } 284ab9e68a2SToomas Soome } 285ab9e68a2SToomas Soome 286ab9e68a2SToomas Soome /* fill in remaining table entry if code is incomplete (guaranteed to have 287ab9e68a2SToomas Soome at most one remaining entry, since if the code is incomplete, the 288ab9e68a2SToomas Soome maximum code length that was allowed to get this far is one bit) */ 289ab9e68a2SToomas Soome if (huff != 0) { 290ab9e68a2SToomas Soome here.op = (unsigned char)64; /* invalid code marker */ 291ab9e68a2SToomas Soome here.bits = (unsigned char)(len - drop); 292ab9e68a2SToomas Soome here.val = (unsigned short)0; 293ab9e68a2SToomas Soome next[huff] = here; 294ab9e68a2SToomas Soome } 295ab9e68a2SToomas Soome 296ab9e68a2SToomas Soome /* set return parameters */ 297ab9e68a2SToomas Soome *table += used; 298ab9e68a2SToomas Soome *bits = root; 299ab9e68a2SToomas Soome return 0; 300ab9e68a2SToomas Soome } 301