[9] | 1 | /* inftrees.c -- generate Huffman trees for efficient decoding
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| 2 | * Copyright (C) 1995-2005 Mark Adler
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| 3 | * For conditions of distribution and use, see copyright notice in zlib.h
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| 4 | */
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| 5 |
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| 6 | #include "zutil.h"
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| 7 | #include "inftrees.h"
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| 8 |
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| 9 | #define MAXBITS 15
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| 10 |
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| 11 | const char inflate_copyright[] =
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| 12 | " inflate 1.2.3 Copyright 1995-2005 Mark Adler ";
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| 13 | /*
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| 14 | If you use the zlib library in a product, an acknowledgment is welcome
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| 15 | in the documentation of your product. If for some reason you cannot
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| 16 | include such an acknowledgment, I would appreciate that you keep this
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| 17 | copyright string in the executable of your product.
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| 18 | */
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| 19 |
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| 20 | /*
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| 21 | Build a set of tables to decode the provided canonical Huffman code.
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| 22 | The code lengths are lens[0..codes-1]. The result starts at *table,
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| 23 | whose indices are 0..2^bits-1. work is a writable array of at least
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| 24 | lens shorts, which is used as a work area. type is the type of code
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| 25 | to be generated, CODES, LENS, or DISTS. On return, zero is success,
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| 26 | -1 is an invalid code, and +1 means that ENOUGH isn't enough. table
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| 27 | on return points to the next available entry's address. bits is the
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| 28 | requested root table index bits, and on return it is the actual root
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| 29 | table index bits. It will differ if the request is greater than the
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| 30 | longest code or if it is less than the shortest code.
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| 31 | */
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| 32 | int inflate_table(type, lens, codes, table, bits, work)
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| 33 | codetype type;
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| 34 | unsigned short FAR *lens;
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| 35 | unsigned codes;
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| 36 | code FAR * FAR *table;
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| 37 | unsigned FAR *bits;
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| 38 | unsigned short FAR *work;
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| 39 | {
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| 40 | unsigned len; /* a code's length in bits */
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| 41 | unsigned sym; /* index of code symbols */
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| 42 | unsigned min, max; /* minimum and maximum code lengths */
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| 43 | unsigned root; /* number of index bits for root table */
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| 44 | unsigned curr; /* number of index bits for current table */
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| 45 | unsigned drop; /* code bits to drop for sub-table */
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| 46 | int left; /* number of prefix codes available */
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| 47 | unsigned used; /* code entries in table used */
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| 48 | unsigned huff; /* Huffman code */
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| 49 | unsigned incr; /* for incrementing code, index */
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| 50 | unsigned fill; /* index for replicating entries */
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| 51 | unsigned low; /* low bits for current root entry */
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| 52 | unsigned mask; /* mask for low root bits */
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| 53 | code this; /* table entry for duplication */
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| 54 | code FAR *next; /* next available space in table */
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| 55 | const unsigned short FAR *base; /* base value table to use */
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| 56 | const unsigned short FAR *extra; /* extra bits table to use */
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| 57 | int end; /* use base and extra for symbol > end */
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| 58 | unsigned short count[MAXBITS+1]; /* number of codes of each length */
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| 59 | unsigned short offs[MAXBITS+1]; /* offsets in table for each length */
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| 60 | static const unsigned short lbase[31] = { /* Length codes 257..285 base */
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| 61 | 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 23, 27, 31,
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| 62 | 35, 43, 51, 59, 67, 83, 99, 115, 131, 163, 195, 227, 258, 0, 0};
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| 63 | static const unsigned short lext[31] = { /* Length codes 257..285 extra */
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| 64 | 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18,
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| 65 | 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 16, 201, 196};
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| 66 | static const unsigned short dbase[32] = { /* Distance codes 0..29 base */
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| 67 | 1, 2, 3, 4, 5, 7, 9, 13, 17, 25, 33, 49, 65, 97, 129, 193,
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| 68 | 257, 385, 513, 769, 1025, 1537, 2049, 3073, 4097, 6145,
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| 69 | 8193, 12289, 16385, 24577, 0, 0};
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| 70 | static const unsigned short dext[32] = { /* Distance codes 0..29 extra */
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| 71 | 16, 16, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22,
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| 72 | 23, 23, 24, 24, 25, 25, 26, 26, 27, 27,
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| 73 | 28, 28, 29, 29, 64, 64};
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| 74 |
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| 75 | /*
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| 76 | Process a set of code lengths to create a canonical Huffman code. The
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| 77 | code lengths are lens[0..codes-1]. Each length corresponds to the
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| 78 | symbols 0..codes-1. The Huffman code is generated by first sorting the
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| 79 | symbols by length from short to long, and retaining the symbol order
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| 80 | for codes with equal lengths. Then the code starts with all zero bits
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| 81 | for the first code of the shortest length, and the codes are integer
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| 82 | increments for the same length, and zeros are appended as the length
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| 83 | increases. For the deflate format, these bits are stored backwards
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| 84 | from their more natural integer increment ordering, and so when the
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| 85 | decoding tables are built in the large loop below, the integer codes
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| 86 | are incremented backwards.
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| 87 |
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| 88 | This routine assumes, but does not check, that all of the entries in
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| 89 | lens[] are in the range 0..MAXBITS. The caller must assure this.
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| 90 | 1..MAXBITS is interpreted as that code length. zero means that that
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| 91 | symbol does not occur in this code.
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| 92 |
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| 93 | The codes are sorted by computing a count of codes for each length,
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| 94 | creating from that a table of starting indices for each length in the
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| 95 | sorted table, and then entering the symbols in order in the sorted
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| 96 | table. The sorted table is work[], with that space being provided by
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| 97 | the caller.
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| 98 |
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| 99 | The length counts are used for other purposes as well, i.e. finding
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| 100 | the minimum and maximum length codes, determining if there are any
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| 101 | codes at all, checking for a valid set of lengths, and looking ahead
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| 102 | at length counts to determine sub-table sizes when building the
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| 103 | decoding tables.
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| 104 | */
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| 105 |
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| 106 | /* accumulate lengths for codes (assumes lens[] all in 0..MAXBITS) */
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| 107 | for (len = 0; len <= MAXBITS; len++)
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| 108 | count[len] = 0;
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| 109 | for (sym = 0; sym < codes; sym++)
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| 110 | count[lens[sym]]++;
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| 111 |
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| 112 | /* bound code lengths, force root to be within code lengths */
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| 113 | root = *bits;
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| 114 | for (max = MAXBITS; max >= 1; max--)
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| 115 | if (count[max] != 0) break;
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| 116 | if (root > max) root = max;
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| 117 | if (max == 0) { /* no symbols to code at all */
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| 118 | this.op = (unsigned char)64; /* invalid code marker */
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| 119 | this.bits = (unsigned char)1;
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| 120 | this.val = (unsigned short)0;
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| 121 | *(*table)++ = this; /* make a table to force an error */
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| 122 | *(*table)++ = this;
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| 123 | *bits = 1;
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| 124 | return 0; /* no symbols, but wait for decoding to report error */
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| 125 | }
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| 126 | for (min = 1; min <= MAXBITS; min++)
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| 127 | if (count[min] != 0) break;
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| 128 | if (root < min) root = min;
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| 129 |
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| 130 | /* check for an over-subscribed or incomplete set of lengths */
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| 131 | left = 1;
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| 132 | for (len = 1; len <= MAXBITS; len++) {
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| 133 | left <<= 1;
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| 134 | left -= count[len];
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| 135 | if (left < 0) return -1; /* over-subscribed */
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| 136 | }
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| 137 | if (left > 0 && (type == CODES || max != 1))
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| 138 | return -1; /* incomplete set */
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| 139 |
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| 140 | /* generate offsets into symbol table for each length for sorting */
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| 141 | offs[1] = 0;
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| 142 | for (len = 1; len < MAXBITS; len++)
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| 143 | offs[len + 1] = offs[len] + count[len];
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| 144 |
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| 145 | /* sort symbols by length, by symbol order within each length */
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| 146 | for (sym = 0; sym < codes; sym++)
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| 147 | if (lens[sym] != 0) work[offs[lens[sym]]++] = (unsigned short)sym;
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| 148 |
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| 149 | /*
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| 150 | Create and fill in decoding tables. In this loop, the table being
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| 151 | filled is at next and has curr index bits. The code being used is huff
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| 152 | with length len. That code is converted to an index by dropping drop
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| 153 | bits off of the bottom. For codes where len is less than drop + curr,
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| 154 | those top drop + curr - len bits are incremented through all values to
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| 155 | fill the table with replicated entries.
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| 156 |
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| 157 | root is the number of index bits for the root table. When len exceeds
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| 158 | root, sub-tables are created pointed to by the root entry with an index
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| 159 | of the low root bits of huff. This is saved in low to check for when a
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| 160 | new sub-table should be started. drop is zero when the root table is
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| 161 | being filled, and drop is root when sub-tables are being filled.
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| 162 |
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| 163 | When a new sub-table is needed, it is necessary to look ahead in the
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| 164 | code lengths to determine what size sub-table is needed. The length
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| 165 | counts are used for this, and so count[] is decremented as codes are
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| 166 | entered in the tables.
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| 167 |
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| 168 | used keeps track of how many table entries have been allocated from the
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| 169 | provided *table space. It is checked when a LENS table is being made
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| 170 | against the space in *table, ENOUGH, minus the maximum space needed by
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| 171 | the worst case distance code, MAXD. This should never happen, but the
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| 172 | sufficiency of ENOUGH has not been proven exhaustively, hence the check.
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| 173 | This assumes that when type == LENS, bits == 9.
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| 174 |
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| 175 | sym increments through all symbols, and the loop terminates when
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| 176 | all codes of length max, i.e. all codes, have been processed. This
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| 177 | routine permits incomplete codes, so another loop after this one fills
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| 178 | in the rest of the decoding tables with invalid code markers.
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| 179 | */
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| 180 |
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| 181 | /* set up for code type */
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| 182 | switch (type) {
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| 183 | case CODES:
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| 184 | base = extra = work; /* dummy value--not used */
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| 185 | end = 19;
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| 186 | break;
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| 187 | case LENS:
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| 188 | base = lbase;
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| 189 | base -= 257;
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| 190 | extra = lext;
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| 191 | extra -= 257;
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| 192 | end = 256;
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| 193 | break;
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| 194 | default: /* DISTS */
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| 195 | base = dbase;
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| 196 | extra = dext;
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| 197 | end = -1;
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| 198 | }
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| 199 |
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| 200 | /* initialize state for loop */
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| 201 | huff = 0; /* starting code */
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| 202 | sym = 0; /* starting code symbol */
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| 203 | len = min; /* starting code length */
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| 204 | next = *table; /* current table to fill in */
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| 205 | curr = root; /* current table index bits */
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| 206 | drop = 0; /* current bits to drop from code for index */
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| 207 | low = (unsigned)(-1); /* trigger new sub-table when len > root */
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| 208 | used = 1U << root; /* use root table entries */
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| 209 | mask = used - 1; /* mask for comparing low */
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| 210 |
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| 211 | /* check available table space */
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| 212 | if (type == LENS && used >= ENOUGH - MAXD)
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| 213 | return 1;
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| 214 |
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| 215 | /* process all codes and make table entries */
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| 216 | for (;;) {
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| 217 | /* create table entry */
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| 218 | this.bits = (unsigned char)(len - drop);
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| 219 | if ((int)(work[sym]) < end) {
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| 220 | this.op = (unsigned char)0;
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| 221 | this.val = work[sym];
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| 222 | }
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| 223 | else if ((int)(work[sym]) > end) {
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| 224 | this.op = (unsigned char)(extra[work[sym]]);
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| 225 | this.val = base[work[sym]];
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| 226 | }
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| 227 | else {
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| 228 | this.op = (unsigned char)(32 + 64); /* end of block */
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| 229 | this.val = 0;
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| 230 | }
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| 231 |
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| 232 | /* replicate for those indices with low len bits equal to huff */
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| 233 | incr = 1U << (len - drop);
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| 234 | fill = 1U << curr;
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| 235 | min = fill; /* save offset to next table */
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| 236 | do {
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| 237 | fill -= incr;
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| 238 | next[(huff >> drop) + fill] = this;
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| 239 | } while (fill != 0);
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| 240 |
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| 241 | /* backwards increment the len-bit code huff */
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| 242 | incr = 1U << (len - 1);
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| 243 | while (huff & incr)
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| 244 | incr >>= 1;
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| 245 | if (incr != 0) {
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| 246 | huff &= incr - 1;
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| 247 | huff += incr;
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| 248 | }
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| 249 | else
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| 250 | huff = 0;
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| 251 |
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| 252 | /* go to next symbol, update count, len */
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| 253 | sym++;
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| 254 | if (--(count[len]) == 0) {
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| 255 | if (len == max) break;
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| 256 | len = lens[work[sym]];
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| 257 | }
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| 258 |
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| 259 | /* create new sub-table if needed */
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| 260 | if (len > root && (huff & mask) != low) {
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| 261 | /* if first time, transition to sub-tables */
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| 262 | if (drop == 0)
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| 263 | drop = root;
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| 264 |
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| 265 | /* increment past last table */
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| 266 | next += min; /* here min is 1 << curr */
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| 267 |
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| 268 | /* determine length of next table */
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| 269 | curr = len - drop;
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| 270 | left = (int)(1 << curr);
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| 271 | while (curr + drop < max) {
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| 272 | left -= count[curr + drop];
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| 273 | if (left <= 0) break;
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| 274 | curr++;
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| 275 | left <<= 1;
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| 276 | }
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| 277 |
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| 278 | /* check for enough space */
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| 279 | used += 1U << curr;
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| 280 | if (type == LENS && used >= ENOUGH - MAXD)
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| 281 | return 1;
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| 282 |
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| 283 | /* point entry in root table to sub-table */
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| 284 | low = huff & mask;
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| 285 | (*table)[low].op = (unsigned char)curr;
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| 286 | (*table)[low].bits = (unsigned char)root;
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| 287 | (*table)[low].val = (unsigned short)(next - *table);
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| 288 | }
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| 289 | }
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| 290 |
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| 291 | /*
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| 292 | Fill in rest of table for incomplete codes. This loop is similar to the
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| 293 | loop above in incrementing huff for table indices. It is assumed that
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| 294 | len is equal to curr + drop, so there is no loop needed to increment
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| 295 | through high index bits. When the current sub-table is filled, the loop
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| 296 | drops back to the root table to fill in any remaining entries there.
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| 297 | */
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| 298 | this.op = (unsigned char)64; /* invalid code marker */
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| 299 | this.bits = (unsigned char)(len - drop);
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| 300 | this.val = (unsigned short)0;
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| 301 | while (huff != 0) {
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| 302 | /* when done with sub-table, drop back to root table */
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| 303 | if (drop != 0 && (huff & mask) != low) {
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| 304 | drop = 0;
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| 305 | len = root;
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| 306 | next = *table;
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| 307 | this.bits = (unsigned char)len;
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| 308 | }
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| 309 |
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| 310 | /* put invalid code marker in table */
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| 311 | next[huff >> drop] = this;
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| 312 |
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| 313 | /* backwards increment the len-bit code huff */
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| 314 | incr = 1U << (len - 1);
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| 315 | while (huff & incr)
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| 316 | incr >>= 1;
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| 317 | if (incr != 0) {
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| 318 | huff &= incr - 1;
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| 319 | huff += incr;
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| 320 | }
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| 321 | else
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| 322 | huff = 0;
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| 323 | }
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| 324 |
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| 325 | /* set return parameters */
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| 326 | *table += used;
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| 327 | *bits = root;
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| 328 | return 0;
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| 329 | }
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