1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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2 | /* $Id: int_intdiv.cc,v 1.7 2005-11-08 18:08:58 Singular Exp $ */ |
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3 | |
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4 | //{{{ docu |
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5 | // |
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6 | // int_intdiv.cc - `InternalInteger' division algorithms. |
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7 | // |
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8 | //}}} |
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9 | |
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10 | #include <config.h> |
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11 | |
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12 | #include "canonicalform.h" |
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13 | #include "imm.h" |
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14 | #include "int_cf.h" |
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15 | #include "int_int.h" |
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16 | #include "int_rat.h" |
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17 | #include "cf_gmp.h" |
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18 | #include "gmpext.h" |
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19 | #include "ftmpl_functions.h" |
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20 | |
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21 | //{{{ InternalCF * InternalInteger::dividesame, dividecoeff ( InternalCF * c ) |
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22 | // docu: see CanonicalForm::operator /() |
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23 | InternalCF * |
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24 | InternalInteger::dividesame ( InternalCF * c ) |
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25 | { |
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26 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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27 | "type error: InternalInteger expected" ); |
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28 | |
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29 | if ( c == this ) { |
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30 | if ( deleteObject() ) delete this; |
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31 | return int2imm( 1 ); |
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32 | } |
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33 | |
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34 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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35 | MP_INT n, d; |
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36 | mpz_init_set( &n, &thempi ); |
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37 | mpz_init_set( &d, &MPI( c ) ); |
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38 | if ( deleteObject() ) delete this; |
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39 | InternalRational * result = new InternalRational( n, d ); |
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40 | return result->normalize_myself(); |
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41 | } |
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42 | |
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43 | if ( getRefCount() > 1 ) { |
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44 | decRefCount(); |
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45 | MP_INT mpiResult; |
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46 | mpz_init( &mpiResult ); |
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47 | if ( mpz_sgn( &MPI( c ) ) > 0 ) |
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48 | mpz_fdiv_q( &mpiResult, &thempi, &MPI( c ) ); |
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49 | else |
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50 | mpz_cdiv_q( &mpiResult, &thempi, &MPI( c ) ); |
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51 | return normalizeMPI( mpiResult ); |
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52 | } else { |
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53 | if ( mpz_sgn( &MPI( c ) ) > 0 ) |
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54 | mpz_fdiv_q( &thempi, &thempi, &MPI( c ) ); |
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55 | else |
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56 | mpz_cdiv_q( &thempi, &thempi, &MPI( c ) ); |
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57 | return normalizeMyself(); |
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58 | } |
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59 | } |
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60 | |
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61 | InternalCF * |
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62 | InternalInteger::dividecoeff ( InternalCF * c, bool invert ) |
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63 | { |
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64 | ASSERT( ::is_imm( c ) == INTMARK, |
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65 | "type error: immediate integer expected" ); |
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66 | ASSERT( invert || imm2int( c ) != 0, |
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67 | "math error: divide by zero" ); |
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68 | |
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69 | int intC = imm2int( c ); |
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70 | |
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71 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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72 | MP_INT n, d; |
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73 | if ( invert ) { |
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74 | mpz_init_set_si( &n, intC ); |
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75 | mpz_init_set( &d, &thempi ); |
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76 | } else { |
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77 | mpz_init_set( &n, &thempi ); |
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78 | mpz_init_set_si( &d, intC ); |
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79 | } |
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80 | if ( deleteObject() ) delete this; |
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81 | InternalRational * result = new InternalRational( n, d ); |
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82 | return result->normalize_myself(); |
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83 | } |
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84 | |
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85 | if ( invert ) { |
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86 | int mpiSign = mpz_sgn( &thempi ); |
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87 | if ( deleteObject() ) delete this; |
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88 | if ( intC >= 0 ) |
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89 | return int2imm( 0 ); |
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90 | else |
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91 | return int2imm( -mpiSign ); |
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92 | } else if ( getRefCount() > 1 ) { |
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93 | decRefCount(); |
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94 | MP_INT mpiResult; |
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95 | mpz_init( &mpiResult ); |
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96 | if ( intC > 0 ) |
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97 | mpz_fdiv_q_ui( &mpiResult, &thempi, intC ); |
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98 | else { |
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99 | mpz_fdiv_q_ui( &mpiResult, &thempi, -intC ); |
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100 | mpz_neg( &mpiResult, &mpiResult ); |
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101 | } |
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102 | return normalizeMPI( mpiResult ); |
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103 | } else { |
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104 | if ( intC > 0 ) |
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105 | mpz_fdiv_q_ui( &thempi, &thempi, intC ); |
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106 | else { |
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107 | mpz_fdiv_q_ui( &thempi, &thempi, -intC ); |
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108 | mpz_neg( &thempi, &thempi ); |
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109 | } |
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110 | return normalizeMyself(); |
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111 | } |
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112 | } |
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113 | //}}} |
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114 | |
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115 | //{{{ InternalCF * InternalInteger::divsame, divcoeff ( InternalCF * c ) |
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116 | // docu: see CanonicalForm::div() |
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117 | InternalCF * |
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118 | InternalInteger::divsame ( InternalCF * c ) |
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119 | { |
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120 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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121 | "type error: InternalInteger expected" ); |
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122 | |
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123 | if ( c == this ) { |
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124 | if ( deleteObject() ) delete this; |
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125 | return int2imm( 1 ); |
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126 | } |
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127 | |
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128 | if ( getRefCount() > 1 ) { |
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129 | deleteObject(); |
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130 | MP_INT mpiResult; |
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131 | mpz_init( &mpiResult ); |
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132 | mpz_divexact( &mpiResult, &thempi, &MPI( c ) ); |
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133 | return normalizeMPI( mpiResult ); |
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134 | } else { |
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135 | mpz_divexact( &thempi, &thempi, &MPI( c ) ); |
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136 | return normalizeMyself(); |
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137 | } |
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138 | } |
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139 | |
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140 | InternalCF * |
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141 | InternalInteger::divcoeff ( InternalCF * c, bool invert ) |
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142 | { |
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143 | ASSERT( ::is_imm( c ) == INTMARK, |
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144 | "type error: immediate integer expected" ); |
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145 | ASSERT( invert || imm2int( c ) != 0, |
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146 | "math error: divide by zero" ); |
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147 | ASSERT( ! invert || imm2int( c ) == 0, |
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148 | "math error: c does not divide CO" ); |
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149 | |
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150 | if ( invert ) { |
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151 | if ( deleteObject() ) delete this; |
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152 | // this may happen iff `c' == 0 |
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153 | return int2imm( 0 ); |
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154 | } else if ( getRefCount() > 1 ) { |
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155 | deleteObject(); |
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156 | MP_INT mpiC; |
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157 | MP_INT mpiResult; |
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158 | mpz_init_set_si( &mpiC, imm2int( c ) ); |
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159 | mpz_init( &mpiResult ); |
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160 | mpz_divexact( &mpiResult, &thempi, &mpiC ); |
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161 | mpz_clear( &mpiC ); |
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162 | return normalizeMPI( mpiResult ); |
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163 | } else { |
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164 | MP_INT mpiC; |
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165 | mpz_init_set_si( &mpiC, imm2int( c ) ); |
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166 | mpz_divexact( &thempi, &thempi, &mpiC ); |
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167 | mpz_clear( &mpiC ); |
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168 | return normalizeMyself(); |
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169 | } |
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170 | } |
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171 | //}}} |
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172 | |
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173 | //{{{ InternalCF * InternalInteger::modulosame, modulocoeff ( InternalCF * c ) |
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174 | // docu: see CanonicalForm::operator %() |
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175 | InternalCF * |
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176 | InternalInteger::modulosame ( InternalCF * c ) |
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177 | { |
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178 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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179 | "type error: InternalInteger expected" ); |
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180 | |
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181 | if ( (c == this) || cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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182 | if ( deleteObject() ) delete this; |
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183 | return int2imm( 0 ); |
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184 | } |
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185 | |
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186 | if ( getRefCount() > 1 ) { |
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187 | decRefCount(); |
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188 | MP_INT mpiResult; |
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189 | mpz_init( &mpiResult ); |
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190 | mpz_mod( &mpiResult, &thempi, &MPI( c ) ); |
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191 | return uiNormalizeMPI( mpiResult ); |
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192 | } else { |
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193 | mpz_mod( &thempi, &thempi, &MPI( c ) ); |
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194 | return uiNormalizeMyself(); |
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195 | } |
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196 | } |
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197 | |
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198 | InternalCF * |
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199 | InternalInteger::modulocoeff ( InternalCF * c, bool invert ) |
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200 | { |
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201 | ASSERT( ::is_imm( c ) == INTMARK, |
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202 | "type error: immediate integer expected" ); |
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203 | ASSERT( invert || imm2int( c ) != 0, |
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204 | "math error: divide by zero" ); |
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205 | |
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206 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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207 | if ( deleteObject() ) delete this; |
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208 | return int2imm( 0 ); |
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209 | } |
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210 | |
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211 | int intC = imm2int( c ); |
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212 | |
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213 | if ( invert ) { |
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214 | if ( intC >= 0 ) { |
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215 | if ( deleteObject() ) delete this; |
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216 | return c; |
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217 | } else { |
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218 | // no checks for refCount == 1 are done. It is not worth ... |
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219 | MP_INT mpiResult; |
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220 | mpz_init_set( &mpiResult, &thempi ); |
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221 | mpz_abs( &mpiResult, &mpiResult ); |
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222 | mpz_sub_ui( &mpiResult, &mpiResult, -intC ); |
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223 | if ( deleteObject() ) delete this; |
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224 | return uiNormalizeMPI( mpiResult ); |
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225 | } |
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226 | } else { |
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227 | MP_INT dummy; |
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228 | mpz_init( &dummy ); |
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229 | InternalCF * result = int2imm( mpz_mod_ui( &dummy, &thempi, tabs( intC ) ) ); |
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230 | mpz_clear( &dummy ); |
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231 | if ( deleteObject() ) delete this; |
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232 | return result; |
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233 | } |
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234 | } |
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235 | //}}} |
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236 | |
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237 | //{{{ InternalCF * InternalInteger::modsame, modcoeff ( InternalCF * c ) |
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238 | // docu: see CanonicalForm::mod() |
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239 | InternalCF * |
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240 | InternalInteger::modsame ( InternalCF * c ) |
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241 | { |
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242 | return modulosame( c ); |
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243 | } |
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244 | |
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245 | InternalCF * |
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246 | InternalInteger::modcoeff ( InternalCF * c, bool invert ) |
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247 | { |
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248 | return modulocoeff( c, invert ); |
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249 | } |
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250 | //}}} |
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251 | |
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252 | //{{{ void InternalInteger::divremsame, divremcoeff ( InternalCF * c, InternalCF * & quot, InternalCF * & rem ) |
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253 | // docu: see CanonicalForm::divrem() |
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254 | void |
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255 | InternalInteger::divremsame ( InternalCF * c, InternalCF * & quot, InternalCF * & rem ) |
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256 | { |
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257 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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258 | "type error: InternalInteger expected" ); |
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259 | |
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260 | if ( c == this ) { |
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261 | quot = int2imm( 1 ); |
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262 | rem = int2imm( 0 ); |
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263 | return; |
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264 | } |
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265 | |
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266 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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267 | MP_INT n, d; |
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268 | mpz_init_set( &n, &thempi ); |
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269 | mpz_init_set( &d, &MPI( c ) ); |
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270 | InternalRational * result = new InternalRational( n, d ); |
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271 | quot = result->normalize_myself(); |
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272 | rem = int2imm( 0 ); |
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273 | return; |
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274 | } |
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275 | |
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276 | MP_INT q; |
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277 | MP_INT r; |
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278 | mpz_init( &q ); mpz_init( &r ); |
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279 | if ( mpz_sgn( &MPI( c ) ) > 0 ) |
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280 | mpz_fdiv_qr( &q, &r, &thempi, &MPI( c ) ); |
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281 | else |
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282 | mpz_cdiv_qr( &q, &r, &thempi, &MPI( c ) ); |
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283 | |
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284 | quot = normalizeMPI( q ); |
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285 | rem = uiNormalizeMPI( r ); |
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286 | } |
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287 | |
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288 | void |
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289 | InternalInteger::divremcoeff ( InternalCF * c, InternalCF * & quot, InternalCF * & rem, bool invert ) |
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290 | { |
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291 | ASSERT( ::is_imm( c ) == INTMARK, |
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292 | "type error: immediate integer expected" ); |
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293 | ASSERT( invert || imm2int( c ) != 0, |
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294 | "math error: divide by zero" ); |
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295 | |
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296 | int intC = imm2int( c ); |
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297 | |
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298 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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299 | MP_INT n, d; |
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300 | if ( invert ) { |
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301 | mpz_init_set_si( &n, intC ); |
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302 | mpz_init_set( &d, &thempi ); |
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303 | } else { |
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304 | mpz_init_set( &n, &thempi ); |
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305 | mpz_init_set_si( &d, intC ); |
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306 | } |
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307 | InternalRational * result = new InternalRational( n, d ); |
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308 | quot = result->normalize_myself(); |
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309 | rem = int2imm( 0 ); |
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310 | return; |
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311 | } |
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312 | |
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313 | if ( invert ) { |
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314 | if ( intC >= 0 ) { |
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315 | rem = c; |
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316 | quot = int2imm( 0 ); |
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317 | } else { |
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318 | MP_INT mpiResult; |
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319 | mpz_init_set( &mpiResult, &thempi ); |
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320 | mpz_abs( &mpiResult, &mpiResult ); |
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321 | mpz_sub_ui( &mpiResult, &mpiResult, -intC ); |
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322 | rem = uiNormalizeMPI( mpiResult ); |
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323 | quot = int2imm( -mpz_sgn( &thempi ) ); |
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324 | } |
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325 | } else { |
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326 | MP_INT q; |
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327 | MP_INT dummy; |
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328 | mpz_init( &q ); mpz_init( &dummy ); |
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329 | if ( intC > 0 ) { |
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330 | rem = int2imm( mpz_fdiv_qr_ui( &q, &dummy, &thempi, intC ) ); |
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331 | quot = normalizeMPI( q ); |
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332 | } else { |
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333 | rem = int2imm( mpz_fdiv_qr_ui( &q, &dummy, &thempi, -intC ) ); |
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334 | mpz_neg( &q, &q ); |
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335 | quot = normalizeMPI( q ); |
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336 | } |
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337 | mpz_clear( &dummy ); |
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338 | } |
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339 | } |
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340 | //}}} |
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341 | |
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342 | //{{{ bool InternalInteger::divremsamet, divremcoefft ( InternalCF * c, InternalCF * & quot, InternalCF * & rem ) |
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343 | // docu: see CanonicalForm::divremt() |
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344 | bool |
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345 | InternalInteger::divremsamet ( InternalCF * c, InternalCF * & quot, InternalCF * & rem ) |
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346 | { |
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347 | divremsame( c, quot, rem ); |
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348 | return true; |
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349 | } |
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350 | |
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351 | bool |
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352 | InternalInteger::divremcoefft ( InternalCF * c, InternalCF * & quot, InternalCF * & rem, bool invert ) |
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353 | { |
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354 | divremcoeff( c, quot, rem, invert ); |
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355 | return true; |
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356 | } |
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357 | //}}} |
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