1 | #ifndef MODULOP_H |
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2 | #define MODULOP_H |
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3 | /**************************************** |
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4 | * Computer Algebra System SINGULAR * |
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5 | ****************************************/ |
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6 | /* $Id: modulop.h,v 1.4 2006-05-02 16:24:22 Singular Exp $ */ |
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7 | /* |
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8 | * ABSTRACT: numbers modulo p (<=32003) |
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9 | */ |
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10 | #include "structs.h" |
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11 | |
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12 | // defines are in struct.h |
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13 | // define if a*b is with mod instead of tables |
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14 | //#define HAVE_MULT_MOD |
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15 | // define if a/b is with mod instead of tables |
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16 | //#define HAVE_DIV_MOD |
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17 | // define if an if should be used |
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18 | //#define HAVE_GENERIC_ADD |
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19 | |
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20 | // enable large primes (32003 < p < 2^31-) |
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21 | #define NV_OPS |
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22 | #define NV_MAX_PRIME 32003 |
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23 | |
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24 | extern long npPrimeM; |
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25 | extern int npGen; |
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26 | extern long npMapPrime; |
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27 | |
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28 | BOOLEAN npGreaterZero (number k); |
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29 | number npMult (number a, number b); |
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30 | number npInit (int i); |
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31 | int npInt (number &n); |
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32 | number npAdd (number a, number b); |
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33 | number npSub (number a, number b); |
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34 | void npPower (number a, int i, number * result); |
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35 | BOOLEAN npIsZero (number a); |
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36 | BOOLEAN npIsOne (number a); |
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37 | BOOLEAN npIsMOne (number a); |
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38 | number npDiv (number a, number b); |
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39 | number npNeg (number c); |
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40 | number npInvers (number c); |
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41 | BOOLEAN npGreater (number a, number b); |
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42 | BOOLEAN npEqual (number a, number b); |
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43 | void npWrite (number &a); |
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44 | char * npRead (char *s, number *a); |
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45 | #ifdef LDEBUG |
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46 | BOOLEAN npDBTest (number a, char *f, int l); |
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47 | #endif |
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48 | void npSetChar(int c, ring r); |
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49 | void npInitChar(int c, ring r); |
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50 | |
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51 | //int npGetChar(); |
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52 | |
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53 | nMapFunc npSetMap(ring src, ring dst); |
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54 | number npMapP(number from); |
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55 | number npMap0(number from); |
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56 | /*-------specials for spolys, do NOT use otherwise--------------------------*/ |
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57 | /* for npMultM, npSubM, npNegM, npEqualM : */ |
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58 | #ifdef HAVE_DIV_MOD |
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59 | extern CARDINAL *npInvTable; |
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60 | #else |
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61 | #ifndef HAVE_MULT_MOD |
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62 | extern long npPminus1M; |
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63 | extern CARDINAL *npExpTable; |
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64 | extern CARDINAL *npLogTable; |
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65 | #endif |
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66 | #endif |
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67 | |
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68 | #if 0 |
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69 | inline number npMultM(number a, number b) |
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70 | // return (a*b)%n |
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71 | { |
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72 | double ab; |
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73 | long q, res; |
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74 | |
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75 | ab = ((double) ((int)a)) * ((double) ((int)b)); |
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76 | q = (long) (ab/((double) npPrimeM)); // q could be off by (+/-) 1 |
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77 | res = (long) (ab - ((double) q)*((double) npPrimeM)); |
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78 | res += (res >> 31) & npPrimeM; |
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79 | res -= npPrimeM; |
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80 | res += (res >> 31) & npPrimeM; |
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81 | return (number)res; |
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82 | } |
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83 | #endif |
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84 | #ifdef HAVE_MULT_MOD |
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85 | static inline number npMultM(number a, number b) |
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86 | { |
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87 | return (number) |
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88 | ((((unsigned long) a)*((unsigned long) b)) % ((unsigned long) npPrimeM)); |
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89 | } |
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90 | #else |
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91 | static inline number npMultM(number a, number b) |
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92 | { |
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93 | long x = (long)npLogTable[(long)a]+npLogTable[(long)b]; |
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94 | return (number)(long)npExpTable[x<npPminus1M ? x : x-npPminus1M]; |
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95 | } |
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96 | #endif |
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97 | |
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98 | #if 0 |
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99 | inline number npAddAsm(number a, number b, int m) |
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100 | { |
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101 | number r; |
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102 | asm ("addl %2, %1; cmpl %3, %1; jb 0f; subl %3, %1; 0:" |
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103 | : "=&r" (r) |
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104 | : "%0" (a), "g" (b), "g" (m) |
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105 | : "cc"); |
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106 | return r; |
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107 | } |
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108 | inline number npSubAsm(number a, number b, int m) |
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109 | { |
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110 | number r; |
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111 | asm ("subl %2, %1; jnc 0f; addl %3, %1; 0:" |
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112 | : "=&r" (r) |
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113 | : "%0" (a), "g" (b), "g" (m) |
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114 | : "cc"); |
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115 | return r; |
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116 | } |
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117 | #endif |
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118 | #ifdef HAVE_GENERIC_ADD |
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119 | static inline number npAddM(number a, number b) |
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120 | { |
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121 | long r = (long)a + (long)b; |
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122 | return (number)(r >= npPrimeM ? r - npPrimeM : r); |
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123 | } |
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124 | static inline number npSubM(number a, number b) |
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125 | { |
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126 | return (number)((long)a<(long)b ? |
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127 | npPrimeM-(long)b+(long)a : (long)a-(long)b); |
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128 | } |
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129 | #else |
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130 | static inline number npAddM(number a, number b) |
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131 | { |
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132 | long res = ((long)a + (long)b); |
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133 | res -= npPrimeM; |
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134 | #if SIZEOF_LONG == 8 |
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135 | res += (res >> 63) & npPrimeM; |
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136 | #else |
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137 | res += (res >> 31) & npPrimeM; |
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138 | #endif |
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139 | return (number)res; |
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140 | } |
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141 | static inline number npSubM(number a, number b) |
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142 | { |
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143 | long res = ((long)a - (long)b); |
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144 | #if SIZEOF_LONG == 8 |
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145 | res += (res >> 63) & npPrimeM; |
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146 | #else |
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147 | res += (res >> 31) & npPrimeM; |
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148 | #endif |
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149 | return (number)res; |
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150 | } |
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151 | #endif |
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152 | |
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153 | static inline BOOLEAN npIsZeroM (number a) |
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154 | { |
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155 | return 0 == (long)a; |
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156 | } |
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157 | |
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158 | /* |
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159 | *inline number npMultM(number a, number b) |
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160 | *{ |
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161 | * return (number)(((long)a*(long)b) % npPrimeM); |
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162 | *} |
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163 | */ |
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164 | |
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165 | #define npNegM(A) (number)(npPrimeM-(long)(A)) |
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166 | #define npEqualM(A,B) ((A)==(B)) |
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167 | |
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168 | |
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169 | #ifdef NV_OPS |
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170 | static inline number nvMultM(number a, number b) |
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171 | { |
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172 | #if SIZEOF_LONG == 4 |
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173 | #define ULONG64 unsigned long long |
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174 | #else |
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175 | #define ULONG64 unsigned long |
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176 | #endif |
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177 | return (number) |
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178 | ((((ULONG64) a)*((ULONG64) b)) % ((ULONG64) npPrimeM)); |
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179 | } |
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180 | number nvMult (number a, number b); |
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181 | number nvDiv (number a, number b); |
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182 | number nvInvers (number c); |
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183 | #endif |
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184 | |
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185 | #endif |
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