1 | /* adler32.c -- compute the Adler-32 checksum of a data stream
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2 | * Copyright (C) 1995-2011, 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 |
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6 | /* @(#) $Id$ */
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7 |
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8 | #include "zutil.h"
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9 |
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10 | local uLong adler32_combine_ OF((uLong adler1, uLong adler2, z_off64_t len2));
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11 |
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12 | #define BASE 65521U /* largest prime smaller than 65536 */
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13 | #define NMAX 5552
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14 | /* NMAX is the largest n such that 255n(n+1)/2 + (n+1)(BASE-1) <= 2^32-1 */
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15 |
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16 | #define DO1(buf,i) {adler += (buf)[i]; sum2 += adler;}
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17 | #define DO2(buf,i) DO1(buf,i); DO1(buf,i+1);
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18 | #define DO4(buf,i) DO2(buf,i); DO2(buf,i+2);
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19 | #define DO8(buf,i) DO4(buf,i); DO4(buf,i+4);
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20 | #define DO16(buf) DO8(buf,0); DO8(buf,8);
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21 |
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22 | /* use NO_DIVIDE if your processor does not do division in hardware --
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23 | try it both ways to see which is faster */
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24 | #ifdef NO_DIVIDE
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25 | /* note that this assumes BASE is 65521, where 65536 % 65521 == 15
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26 | (thank you to John Reiser for pointing this out) */
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27 | # define CHOP(a) \
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28 | do { \
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29 | unsigned long tmp = a >> 16; \
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30 | a &= 0xffffUL; \
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31 | a += (tmp << 4) - tmp; \
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32 | } while (0)
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33 | # define MOD28(a) \
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34 | do { \
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35 | CHOP(a); \
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36 | if (a >= BASE) a -= BASE; \
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37 | } while (0)
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38 | # define MOD(a) \
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39 | do { \
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40 | CHOP(a); \
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41 | MOD28(a); \
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42 | } while (0)
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43 | # define MOD63(a) \
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44 | do { /* this assumes a is not negative */ \
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45 | z_off64_t tmp = a >> 32; \
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46 | a &= 0xffffffffL; \
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47 | a += (tmp << 8) - (tmp << 5) + tmp; \
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48 | tmp = a >> 16; \
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49 | a &= 0xffffL; \
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50 | a += (tmp << 4) - tmp; \
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51 | tmp = a >> 16; \
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52 | a &= 0xffffL; \
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53 | a += (tmp << 4) - tmp; \
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54 | if (a >= BASE) a -= BASE; \
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55 | } while (0)
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56 | #else
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57 | # define MOD(a) a %= BASE
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58 | # define MOD28(a) a %= BASE
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59 | # define MOD63(a) a %= BASE
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60 | #endif
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61 |
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62 | /* ========================================================================= */
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63 | uLong ZEXPORT adler32_z(adler, buf, len)
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64 | uLong adler;
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65 | const Bytef *buf;
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66 | z_size_t len;
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67 | {
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68 | unsigned long sum2;
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69 | unsigned n;
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70 |
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71 | /* split Adler-32 into component sums */
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72 | sum2 = (adler >> 16) & 0xffff;
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73 | adler &= 0xffff;
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74 |
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75 | /* in case user likes doing a byte at a time, keep it fast */
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76 | if (len == 1) {
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77 | adler += buf[0];
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78 | if (adler >= BASE)
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79 | adler -= BASE;
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80 | sum2 += adler;
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81 | if (sum2 >= BASE)
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82 | sum2 -= BASE;
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83 | return adler | (sum2 << 16);
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84 | }
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85 |
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86 | /* initial Adler-32 value (deferred check for len == 1 speed) */
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87 | if (buf == Z_NULL)
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88 | return 1L;
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89 |
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90 | /* in case short lengths are provided, keep it somewhat fast */
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91 | if (len < 16) {
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92 | while (len--) {
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93 | adler += *buf++;
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94 | sum2 += adler;
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95 | }
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96 | if (adler >= BASE)
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97 | adler -= BASE;
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98 | MOD28(sum2); /* only added so many BASE's */
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99 | return adler | (sum2 << 16);
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100 | }
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101 |
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102 | /* do length NMAX blocks -- requires just one modulo operation */
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103 | while (len >= NMAX) {
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104 | len -= NMAX;
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105 | n = NMAX / 16; /* NMAX is divisible by 16 */
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106 | do {
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107 | DO16(buf); /* 16 sums unrolled */
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108 | buf += 16;
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109 | } while (--n);
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110 | MOD(adler);
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111 | MOD(sum2);
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112 | }
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113 |
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114 | /* do remaining bytes (less than NMAX, still just one modulo) */
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115 | if (len) { /* avoid modulos if none remaining */
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116 | while (len >= 16) {
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117 | len -= 16;
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118 | DO16(buf);
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119 | buf += 16;
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120 | }
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121 | while (len--) {
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122 | adler += *buf++;
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123 | sum2 += adler;
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124 | }
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125 | MOD(adler);
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126 | MOD(sum2);
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127 | }
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128 |
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129 | /* return recombined sums */
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130 | return adler | (sum2 << 16);
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131 | }
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132 |
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133 | /* ========================================================================= */
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134 | uLong ZEXPORT adler32(adler, buf, len)
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135 | uLong adler;
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136 | const Bytef *buf;
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137 | uInt len;
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138 | {
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139 | return adler32_z(adler, buf, len);
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140 | }
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141 |
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142 | /* ========================================================================= */
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143 | local uLong adler32_combine_(adler1, adler2, len2)
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144 | uLong adler1;
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145 | uLong adler2;
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146 | z_off64_t len2;
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147 | {
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148 | unsigned long sum1;
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149 | unsigned long sum2;
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150 | unsigned rem;
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151 |
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152 | /* for negative len, return invalid adler32 as a clue for debugging */
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153 | if (len2 < 0)
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154 | return 0xffffffffUL;
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155 |
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156 | /* the derivation of this formula is left as an exercise for the reader */
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157 | MOD63(len2); /* assumes len2 >= 0 */
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158 | rem = (unsigned)len2;
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159 | sum1 = adler1 & 0xffff;
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160 | sum2 = rem * sum1;
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161 | MOD(sum2);
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162 | sum1 += (adler2 & 0xffff) + BASE - 1;
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163 | sum2 += ((adler1 >> 16) & 0xffff) + ((adler2 >> 16) & 0xffff) + BASE - rem;
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164 | if (sum1 >= BASE) sum1 -= BASE;
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165 | if (sum1 >= BASE) sum1 -= BASE;
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166 | if (sum2 >= ((unsigned long)BASE << 1)) sum2 -= ((unsigned long)BASE << 1);
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167 | if (sum2 >= BASE) sum2 -= BASE;
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168 | return sum1 | (sum2 << 16);
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169 | }
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170 |
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171 | /* ========================================================================= */
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172 | uLong ZEXPORT adler32_combine(adler1, adler2, len2)
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173 | uLong adler1;
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174 | uLong adler2;
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175 | z_off_t len2;
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176 | {
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177 | return adler32_combine_(adler1, adler2, len2);
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178 | }
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179 |
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180 | uLong ZEXPORT adler32_combine64(adler1, adler2, len2)
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181 | uLong adler1;
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182 | uLong adler2;
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183 | z_off64_t len2;
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184 | {
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185 | return adler32_combine_(adler1, adler2, len2);
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186 | }
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