1 | /* crc32.c -- compute the CRC-32 of a data stream
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2 | * Copyright (C) 1995-2006, 2010, 2011, 2012, 2016 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 | * Thanks to Rodney Brown <[email protected]> for his contribution of faster
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6 | * CRC methods: exclusive-oring 32 bits of data at a time, and pre-computing
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7 | * tables for updating the shift register in one step with three exclusive-ors
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8 | * instead of four steps with four exclusive-ors. This results in about a
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9 | * factor of two increase in speed on a Power PC G4 (PPC7455) using gcc -O3.
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10 | */
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11 |
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12 | /* @(#) $Id$ */
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13 |
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14 | /*
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15 | Note on the use of DYNAMIC_CRC_TABLE: there is no mutex or semaphore
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16 | protection on the static variables used to control the first-use generation
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17 | of the crc tables. Therefore, if you #define DYNAMIC_CRC_TABLE, you should
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18 | first call get_crc_table() to initialize the tables before allowing more than
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19 | one thread to use crc32().
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20 |
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21 | DYNAMIC_CRC_TABLE and MAKECRCH can be #defined to write out crc32.h.
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22 | */
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23 |
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24 | #ifdef MAKECRCH
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25 | # include <stdio.h>
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26 | # ifndef DYNAMIC_CRC_TABLE
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27 | # define DYNAMIC_CRC_TABLE
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28 | # endif /* !DYNAMIC_CRC_TABLE */
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29 | #endif /* MAKECRCH */
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30 |
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31 | #include "zutil.h" /* for STDC and FAR definitions */
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32 |
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33 | /* Definitions for doing the crc four data bytes at a time. */
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34 | #if !defined(NOBYFOUR) && defined(Z_U4)
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35 | # define BYFOUR
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36 | #endif
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37 | #ifdef BYFOUR
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38 | local unsigned long crc32_little OF((unsigned long,
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39 | const unsigned char FAR *, z_size_t));
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40 | local unsigned long crc32_big OF((unsigned long,
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41 | const unsigned char FAR *, z_size_t));
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42 | # define TBLS 8
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43 | #else
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44 | # define TBLS 1
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45 | #endif /* BYFOUR */
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46 |
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47 | /* Local functions for crc concatenation */
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48 | local unsigned long gf2_matrix_times OF((unsigned long *mat,
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49 | unsigned long vec));
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50 | local void gf2_matrix_square OF((unsigned long *square, unsigned long *mat));
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51 | local uLong crc32_combine_ OF((uLong crc1, uLong crc2, z_off64_t len2));
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52 |
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53 |
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54 | #ifdef DYNAMIC_CRC_TABLE
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55 |
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56 | local volatile int crc_table_empty = 1;
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57 | local z_crc_t FAR crc_table[TBLS][256];
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58 | local void make_crc_table OF((void));
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59 | #ifdef MAKECRCH
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60 | local void write_table OF((FILE *, const z_crc_t FAR *));
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61 | #endif /* MAKECRCH */
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62 | /*
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63 | Generate tables for a byte-wise 32-bit CRC calculation on the polynomial:
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64 | x^32+x^26+x^23+x^22+x^16+x^12+x^11+x^10+x^8+x^7+x^5+x^4+x^2+x+1.
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65 |
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66 | Polynomials over GF(2) are represented in binary, one bit per coefficient,
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67 | with the lowest powers in the most significant bit. Then adding polynomials
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68 | is just exclusive-or, and multiplying a polynomial by x is a right shift by
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69 | one. If we call the above polynomial p, and represent a byte as the
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70 | polynomial q, also with the lowest power in the most significant bit (so the
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71 | byte 0xb1 is the polynomial x^7+x^3+x+1), then the CRC is (q*x^32) mod p,
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72 | where a mod b means the remainder after dividing a by b.
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73 |
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74 | This calculation is done using the shift-register method of multiplying and
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75 | taking the remainder. The register is initialized to zero, and for each
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76 | incoming bit, x^32 is added mod p to the register if the bit is a one (where
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77 | x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by
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78 | x (which is shifting right by one and adding x^32 mod p if the bit shifted
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79 | out is a one). We start with the highest power (least significant bit) of
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80 | q and repeat for all eight bits of q.
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81 |
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82 | The first table is simply the CRC of all possible eight bit values. This is
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83 | all the information needed to generate CRCs on data a byte at a time for all
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84 | combinations of CRC register values and incoming bytes. The remaining tables
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85 | allow for word-at-a-time CRC calculation for both big-endian and little-
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86 | endian machines, where a word is four bytes.
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87 | */
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88 | local void make_crc_table()
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89 | {
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90 | z_crc_t c;
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91 | int n, k;
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92 | z_crc_t poly; /* polynomial exclusive-or pattern */
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93 | /* terms of polynomial defining this crc (except x^32): */
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94 | static volatile int first = 1; /* flag to limit concurrent making */
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95 | static const unsigned char p[] = {0,1,2,4,5,7,8,10,11,12,16,22,23,26};
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96 |
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97 | /* See if another task is already doing this (not thread-safe, but better
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98 | than nothing -- significantly reduces duration of vulnerability in
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99 | case the advice about DYNAMIC_CRC_TABLE is ignored) */
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100 | if (first) {
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101 | first = 0;
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102 |
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103 | /* make exclusive-or pattern from polynomial (0xedb88320UL) */
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104 | poly = 0;
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105 | for (n = 0; n < (int)(sizeof(p)/sizeof(unsigned char)); n++)
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106 | poly |= (z_crc_t)1 << (31 - p[n]);
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107 |
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108 | /* generate a crc for every 8-bit value */
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109 | for (n = 0; n < 256; n++) {
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110 | c = (z_crc_t)n;
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111 | for (k = 0; k < 8; k++)
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112 | c = c & 1 ? poly ^ (c >> 1) : c >> 1;
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113 | crc_table[0][n] = c;
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114 | }
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115 |
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116 | #ifdef BYFOUR
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117 | /* generate crc for each value followed by one, two, and three zeros,
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118 | and then the byte reversal of those as well as the first table */
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119 | for (n = 0; n < 256; n++) {
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120 | c = crc_table[0][n];
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121 | crc_table[4][n] = ZSWAP32(c);
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122 | for (k = 1; k < 4; k++) {
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123 | c = crc_table[0][c & 0xff] ^ (c >> 8);
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124 | crc_table[k][n] = c;
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125 | crc_table[k + 4][n] = ZSWAP32(c);
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126 | }
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127 | }
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128 | #endif /* BYFOUR */
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129 |
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130 | crc_table_empty = 0;
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131 | }
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132 | else { /* not first */
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133 | /* wait for the other guy to finish (not efficient, but rare) */
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134 | while (crc_table_empty)
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135 | ;
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136 | }
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137 |
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138 | #ifdef MAKECRCH
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139 | /* write out CRC tables to crc32.h */
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140 | {
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141 | FILE *out;
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142 |
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143 | out = fopen("crc32.h", "w");
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144 | if (out == NULL) return;
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145 | fprintf(out, "/* crc32.h -- tables for rapid CRC calculation\n");
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146 | fprintf(out, " * Generated automatically by crc32.c\n */\n\n");
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147 | fprintf(out, "local const z_crc_t FAR ");
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148 | fprintf(out, "crc_table[TBLS][256] =\n{\n {\n");
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149 | write_table(out, crc_table[0]);
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150 | # ifdef BYFOUR
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151 | fprintf(out, "#ifdef BYFOUR\n");
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152 | for (k = 1; k < 8; k++) {
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153 | fprintf(out, " },\n {\n");
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154 | write_table(out, crc_table[k]);
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155 | }
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156 | fprintf(out, "#endif\n");
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157 | # endif /* BYFOUR */
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158 | fprintf(out, " }\n};\n");
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159 | fclose(out);
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160 | }
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161 | #endif /* MAKECRCH */
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162 | }
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163 |
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164 | #ifdef MAKECRCH
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165 | local void write_table(out, table)
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166 | FILE *out;
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167 | const z_crc_t FAR *table;
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168 | {
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169 | int n;
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170 |
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171 | for (n = 0; n < 256; n++)
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172 | fprintf(out, "%s0x%08lxUL%s", n % 5 ? "" : " ",
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173 | (unsigned long)(table[n]),
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174 | n == 255 ? "\n" : (n % 5 == 4 ? ",\n" : ", "));
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175 | }
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176 | #endif /* MAKECRCH */
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177 |
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178 | #else /* !DYNAMIC_CRC_TABLE */
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179 | /* ========================================================================
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180 | * Tables of CRC-32s of all single-byte values, made by make_crc_table().
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181 | */
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182 | #include "crc32.h"
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183 | #endif /* DYNAMIC_CRC_TABLE */
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184 |
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185 | /* =========================================================================
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186 | * This function can be used by asm versions of crc32()
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187 | */
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188 | const z_crc_t FAR * ZEXPORT get_crc_table()
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189 | {
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190 | #ifdef DYNAMIC_CRC_TABLE
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191 | if (crc_table_empty)
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192 | make_crc_table();
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193 | #endif /* DYNAMIC_CRC_TABLE */
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194 | return (const z_crc_t FAR *)crc_table;
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195 | }
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196 |
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197 | /* ========================================================================= */
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198 | #define DO1 crc = crc_table[0][((int)crc ^ (*buf++)) & 0xff] ^ (crc >> 8)
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199 | #define DO8 DO1; DO1; DO1; DO1; DO1; DO1; DO1; DO1
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200 |
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201 | /* ========================================================================= */
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202 | unsigned long ZEXPORT crc32_z(crc, buf, len)
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203 | unsigned long crc;
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204 | const unsigned char FAR *buf;
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205 | z_size_t len;
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206 | {
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207 | if (buf == Z_NULL) return 0UL;
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208 |
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209 | #ifdef DYNAMIC_CRC_TABLE
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210 | if (crc_table_empty)
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211 | make_crc_table();
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212 | #endif /* DYNAMIC_CRC_TABLE */
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213 |
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214 | #ifdef BYFOUR
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215 | if (sizeof(void *) == sizeof(ptrdiff_t)) {
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216 | z_crc_t endian;
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217 |
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218 | endian = 1;
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219 | if (*((unsigned char *)(&endian)))
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220 | return crc32_little(crc, buf, len);
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221 | else
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222 | return crc32_big(crc, buf, len);
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223 | }
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224 | #endif /* BYFOUR */
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225 | crc = crc ^ 0xffffffffUL;
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226 | while (len >= 8) {
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227 | DO8;
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228 | len -= 8;
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229 | }
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230 | if (len) do {
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231 | DO1;
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232 | } while (--len);
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233 | return crc ^ 0xffffffffUL;
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234 | }
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235 |
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236 | /* ========================================================================= */
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237 | unsigned long ZEXPORT crc32(crc, buf, len)
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238 | unsigned long crc;
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239 | const unsigned char FAR *buf;
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240 | uInt len;
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241 | {
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242 | return crc32_z(crc, buf, len);
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243 | }
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244 |
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245 | #ifdef BYFOUR
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246 |
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247 | /*
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248 | This BYFOUR code accesses the passed unsigned char * buffer with a 32-bit
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249 | integer pointer type. This violates the strict aliasing rule, where a
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250 | compiler can assume, for optimization purposes, that two pointers to
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251 | fundamentally different types won't ever point to the same memory. This can
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252 | manifest as a problem only if one of the pointers is written to. This code
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253 | only reads from those pointers. So long as this code remains isolated in
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254 | this compilation unit, there won't be a problem. For this reason, this code
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255 | should not be copied and pasted into a compilation unit in which other code
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256 | writes to the buffer that is passed to these routines.
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257 | */
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258 |
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259 | /* ========================================================================= */
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260 | #define DOLIT4 c ^= *buf4++; \
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261 | c = crc_table[3][c & 0xff] ^ crc_table[2][(c >> 8) & 0xff] ^ \
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262 | crc_table[1][(c >> 16) & 0xff] ^ crc_table[0][c >> 24]
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263 | #define DOLIT32 DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4
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264 |
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265 | /* ========================================================================= */
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266 | local unsigned long crc32_little(crc, buf, len)
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267 | unsigned long crc;
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268 | const unsigned char FAR *buf;
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269 | z_size_t len;
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270 | {
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271 | register z_crc_t c;
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272 | register const z_crc_t FAR *buf4;
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273 |
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274 | c = (z_crc_t)crc;
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275 | c = ~c;
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276 | while (len && ((ptrdiff_t)buf & 3)) {
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277 | c = crc_table[0][(c ^ *buf++) & 0xff] ^ (c >> 8);
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278 | len--;
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279 | }
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280 |
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281 | buf4 = (const z_crc_t FAR *)(const void FAR *)buf;
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282 | while (len >= 32) {
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283 | DOLIT32;
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284 | len -= 32;
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285 | }
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286 | while (len >= 4) {
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287 | DOLIT4;
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288 | len -= 4;
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289 | }
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290 | buf = (const unsigned char FAR *)buf4;
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291 |
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292 | if (len) do {
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293 | c = crc_table[0][(c ^ *buf++) & 0xff] ^ (c >> 8);
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294 | } while (--len);
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295 | c = ~c;
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296 | return (unsigned long)c;
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297 | }
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298 |
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299 | /* ========================================================================= */
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300 | #define DOBIG4 c ^= *buf4++; \
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301 | c = crc_table[4][c & 0xff] ^ crc_table[5][(c >> 8) & 0xff] ^ \
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302 | crc_table[6][(c >> 16) & 0xff] ^ crc_table[7][c >> 24]
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303 | #define DOBIG32 DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4
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304 |
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305 | /* ========================================================================= */
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306 | local unsigned long crc32_big(crc, buf, len)
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307 | unsigned long crc;
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308 | const unsigned char FAR *buf;
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309 | z_size_t len;
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310 | {
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311 | register z_crc_t c;
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312 | register const z_crc_t FAR *buf4;
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313 |
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314 | c = ZSWAP32((z_crc_t)crc);
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315 | c = ~c;
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316 | while (len && ((ptrdiff_t)buf & 3)) {
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317 | c = crc_table[4][(c >> 24) ^ *buf++] ^ (c << 8);
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318 | len--;
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319 | }
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320 |
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321 | buf4 = (const z_crc_t FAR *)(const void FAR *)buf;
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322 | while (len >= 32) {
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323 | DOBIG32;
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324 | len -= 32;
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325 | }
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326 | while (len >= 4) {
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327 | DOBIG4;
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328 | len -= 4;
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329 | }
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330 | buf = (const unsigned char FAR *)buf4;
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331 |
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332 | if (len) do {
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333 | c = crc_table[4][(c >> 24) ^ *buf++] ^ (c << 8);
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334 | } while (--len);
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335 | c = ~c;
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336 | return (unsigned long)(ZSWAP32(c));
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337 | }
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338 |
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339 | #endif /* BYFOUR */
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340 |
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341 | #define GF2_DIM 32 /* dimension of GF(2) vectors (length of CRC) */
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342 |
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343 | /* ========================================================================= */
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344 | local unsigned long gf2_matrix_times(mat, vec)
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345 | unsigned long *mat;
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346 | unsigned long vec;
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347 | {
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348 | unsigned long sum;
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349 |
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350 | sum = 0;
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351 | while (vec) {
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352 | if (vec & 1)
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353 | sum ^= *mat;
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354 | vec >>= 1;
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355 | mat++;
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356 | }
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357 | return sum;
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358 | }
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359 |
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360 | /* ========================================================================= */
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361 | local void gf2_matrix_square(square, mat)
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362 | unsigned long *square;
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363 | unsigned long *mat;
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364 | {
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365 | int n;
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366 |
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367 | for (n = 0; n < GF2_DIM; n++)
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368 | square[n] = gf2_matrix_times(mat, mat[n]);
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369 | }
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370 |
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371 | /* ========================================================================= */
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372 | local uLong crc32_combine_(crc1, crc2, len2)
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373 | uLong crc1;
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374 | uLong crc2;
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375 | z_off64_t len2;
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376 | {
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377 | int n;
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378 | unsigned long row;
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379 | unsigned long even[GF2_DIM]; /* even-power-of-two zeros operator */
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380 | unsigned long odd[GF2_DIM]; /* odd-power-of-two zeros operator */
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381 |
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382 | /* degenerate case (also disallow negative lengths) */
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383 | if (len2 <= 0)
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384 | return crc1;
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385 |
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386 | /* put operator for one zero bit in odd */
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387 | odd[0] = 0xedb88320UL; /* CRC-32 polynomial */
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388 | row = 1;
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389 | for (n = 1; n < GF2_DIM; n++) {
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390 | odd[n] = row;
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391 | row <<= 1;
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392 | }
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393 |
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394 | /* put operator for two zero bits in even */
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395 | gf2_matrix_square(even, odd);
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396 |
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397 | /* put operator for four zero bits in odd */
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398 | gf2_matrix_square(odd, even);
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399 |
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400 | /* apply len2 zeros to crc1 (first square will put the operator for one
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401 | zero byte, eight zero bits, in even) */
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402 | do {
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403 | /* apply zeros operator for this bit of len2 */
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404 | gf2_matrix_square(even, odd);
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405 | if (len2 & 1)
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406 | crc1 = gf2_matrix_times(even, crc1);
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407 | len2 >>= 1;
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408 |
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409 | /* if no more bits set, then done */
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410 | if (len2 == 0)
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411 | break;
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412 |
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413 | /* another iteration of the loop with odd and even swapped */
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414 | gf2_matrix_square(odd, even);
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415 | if (len2 & 1)
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416 | crc1 = gf2_matrix_times(odd, crc1);
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417 | len2 >>= 1;
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418 |
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419 | /* if no more bits set, then done */
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420 | } while (len2 != 0);
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421 |
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422 | /* return combined crc */
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423 | crc1 ^= crc2;
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424 | return crc1;
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425 | }
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426 |
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427 | /* ========================================================================= */
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428 | uLong ZEXPORT crc32_combine(crc1, crc2, len2)
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429 | uLong crc1;
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430 | uLong crc2;
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431 | z_off_t len2;
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432 | {
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433 | return crc32_combine_(crc1, crc2, len2);
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434 | }
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435 |
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436 | uLong ZEXPORT crc32_combine64(crc1, crc2, len2)
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437 | uLong crc1;
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438 | uLong crc2;
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439 | z_off64_t len2;
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440 | {
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441 | return crc32_combine_(crc1, crc2, len2);
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442 | }
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