1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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2 | |
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3 | #include "config.h" |
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4 | |
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5 | #include "canonicalform.h" |
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6 | #include "imm.h" |
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7 | #include "int_int.h" |
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8 | #include "int_rat.h" |
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9 | #include <factory/cf_gmp.h> |
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10 | #include "gmpext.h" |
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11 | |
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12 | #ifdef HAVE_OMALLOC |
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13 | const omBin InternalInteger::InternalInteger_bin = omGetSpecBin(sizeof(InternalInteger)); |
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14 | #endif |
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15 | |
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16 | InternalInteger::InternalInteger() |
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17 | { |
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18 | mpz_init( thempi ); |
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19 | } |
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20 | |
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21 | InternalInteger::InternalInteger( const int i ) |
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22 | { |
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23 | mpz_init_set_si( thempi, i ); |
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24 | } |
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25 | |
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26 | InternalInteger::InternalInteger( const long i ) |
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27 | { |
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28 | mpz_init_set_si( thempi, i ); |
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29 | } |
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30 | |
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31 | InternalInteger::InternalInteger( const mpz_ptr mpi) { thempi[0]=*mpi;} |
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32 | |
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33 | InternalInteger::InternalInteger( const char * str, const int base ) |
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34 | { |
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35 | mpz_init_set_str( thempi, str, base ); |
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36 | } |
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37 | |
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38 | InternalInteger::~InternalInteger() |
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39 | { |
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40 | mpz_clear( thempi ); |
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41 | } |
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42 | |
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43 | InternalCF* InternalInteger::deepCopyObject() const |
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44 | { |
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45 | mpz_t dummy; |
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46 | mpz_init_set( dummy, thempi ); |
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47 | return new InternalInteger( dummy ); |
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48 | } |
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49 | |
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50 | #ifndef NOSTREAMIO |
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51 | void InternalInteger::print( OSTREAM & os, char * c ) |
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52 | { |
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53 | if ( *c == '*' && mpz_cmp_si( thempi, 1 ) == 0 ) |
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54 | os << c+1; |
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55 | else if ( *c == '*' && mpz_cmp_si( thempi, -1 ) == 0 ) |
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56 | os << '-' << c+1; |
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57 | else { |
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58 | char * str = new char[mpz_sizeinbase( thempi, 10 ) + 2]; |
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59 | str = mpz_get_str( str, 10, thempi ); |
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60 | os << str << c; |
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61 | delete [] str; |
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62 | } |
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63 | } |
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64 | #endif /* NOSTREAMIO */ |
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65 | |
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66 | bool InternalInteger::is_imm() const |
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67 | { |
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68 | return mpz_is_imm( thempi ); |
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69 | } |
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70 | |
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71 | InternalCF* InternalInteger::genZero() |
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72 | { |
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73 | if ( isZero() ) |
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74 | return copyObject(); |
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75 | else |
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76 | return new InternalInteger(); |
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77 | } |
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78 | |
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79 | InternalCF* InternalInteger::genOne() |
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80 | { |
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81 | if ( isOne() ) |
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82 | return copyObject(); |
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83 | else |
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84 | return new InternalInteger( 1 ); |
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85 | } |
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86 | |
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87 | //{{{ InternalCF * InternalInteger::neg () |
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88 | // docu: see CanonicalForm::operator -() |
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89 | InternalCF * |
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90 | InternalInteger::neg () |
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91 | { |
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92 | if ( getRefCount() > 1 ) |
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93 | { |
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94 | decRefCount(); |
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95 | mpz_t dummy; |
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96 | mpz_init_set( dummy, thempi ); |
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97 | mpz_neg( dummy, dummy ); |
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98 | return new InternalInteger( dummy ); |
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99 | } |
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100 | else |
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101 | { |
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102 | mpz_neg( thempi, thempi ); |
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103 | return this; |
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104 | } |
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105 | } |
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106 | //}}} |
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107 | |
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108 | |
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109 | InternalCF* InternalInteger::addsame( InternalCF * c ) |
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110 | { |
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111 | if ( getRefCount() > 1 ) |
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112 | { |
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113 | decRefCount(); |
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114 | mpz_t dummy; |
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115 | mpz_init( dummy ); |
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116 | mpz_add( dummy, thempi, MPI( c ) ); |
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117 | if ( mpz_is_imm( dummy ) ) |
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118 | { |
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119 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
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120 | mpz_clear( dummy ); |
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121 | return res; |
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122 | } |
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123 | else |
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124 | return new InternalInteger( dummy ); |
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125 | } |
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126 | else |
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127 | { |
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128 | mpz_add( thempi, thempi, MPI( c ) ); |
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129 | if ( mpz_is_imm( thempi ) ) |
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130 | { |
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131 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
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132 | delete this; |
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133 | return res; |
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134 | } |
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135 | else |
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136 | return this; |
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137 | } |
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138 | } |
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139 | |
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140 | InternalCF* InternalInteger::subsame( InternalCF * c ) |
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141 | { |
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142 | if ( getRefCount() > 1 ) |
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143 | { |
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144 | decRefCount(); |
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145 | mpz_t dummy; |
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146 | mpz_init( dummy ); |
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147 | mpz_sub( dummy, thempi, MPI( c ) ); |
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148 | if ( mpz_is_imm( dummy ) ) |
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149 | { |
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150 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
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151 | mpz_clear( dummy ); |
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152 | return res; |
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153 | } |
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154 | else |
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155 | return new InternalInteger( dummy ); |
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156 | } |
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157 | else |
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158 | { |
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159 | mpz_sub( thempi, thempi, MPI( c ) ); |
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160 | if ( mpz_is_imm( thempi ) ) |
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161 | { |
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162 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
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163 | delete this; |
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164 | return res; |
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165 | } |
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166 | else |
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167 | return this; |
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168 | } |
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169 | } |
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170 | |
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171 | InternalCF* InternalInteger::mulsame( InternalCF * c ) |
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172 | { |
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173 | if ( getRefCount() > 1 ) |
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174 | { |
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175 | decRefCount(); |
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176 | mpz_t dummy; |
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177 | mpz_init( dummy ); |
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178 | mpz_mul( dummy, thempi, MPI( c ) ); |
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179 | #if 0 |
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180 | if ( mpz_is_imm( dummy ) ) |
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181 | { |
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182 | // can this happen ??? |
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183 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
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184 | mpz_clear( dummy ); |
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185 | return res; |
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186 | } |
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187 | else |
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188 | #endif |
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189 | return new InternalInteger( dummy ); |
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190 | } |
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191 | else |
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192 | { |
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193 | mpz_mul( thempi, thempi, MPI( c ) ); |
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194 | #if 0 |
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195 | if ( mpz_is_imm( &thempi ) ) |
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196 | { |
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197 | // can this happen ??? |
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198 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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199 | delete this; |
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200 | return res; |
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201 | } |
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202 | else |
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203 | #endif |
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204 | return this; |
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205 | } |
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206 | } |
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207 | |
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208 | //{{{ int InternalInteger::comparesame, comparecoeff ( InternalCF * c ) |
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209 | // docu: see CanonicalForm::operator <(), CanonicalForm::operator ==() |
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210 | int |
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211 | InternalInteger::comparesame ( InternalCF * c ) |
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212 | { |
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213 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, "incompatible base coefficients" ); |
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214 | return mpz_cmp( thempi, MPI( c ) ); |
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215 | } |
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216 | |
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217 | int |
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218 | InternalInteger::comparecoeff ( InternalCF * c ) |
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219 | { |
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220 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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221 | return mpz_cmp_si( thempi, imm2int( c ) ); |
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222 | } |
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223 | //}}} |
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224 | |
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225 | InternalCF* InternalInteger::addcoeff( InternalCF* c ) |
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226 | { |
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227 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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228 | long cc = imm2int( c ); |
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229 | if ( getRefCount() > 1 ) |
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230 | { |
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231 | decRefCount(); |
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232 | mpz_t dummy; |
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233 | mpz_init( dummy ); |
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234 | if ( cc < 0 ) |
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235 | mpz_sub_ui( dummy, thempi, -cc ); |
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236 | else |
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237 | mpz_add_ui( dummy, thempi, cc ); |
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238 | if ( mpz_is_imm( dummy ) ) |
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239 | { |
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240 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
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241 | mpz_clear( dummy ); |
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242 | return res; |
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243 | } |
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244 | else |
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245 | return new InternalInteger( dummy ); |
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246 | } |
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247 | else |
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248 | { |
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249 | if ( cc < 0 ) |
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250 | mpz_sub_ui( thempi, thempi, -cc ); |
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251 | else |
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252 | mpz_add_ui( thempi, thempi, cc ); |
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253 | if ( mpz_is_imm( thempi ) ) |
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254 | { |
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255 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
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256 | delete this; |
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257 | return res; |
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258 | } |
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259 | else |
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260 | return this; |
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261 | } |
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262 | } |
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263 | |
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264 | InternalCF* InternalInteger::subcoeff( InternalCF* c, bool negate ) |
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265 | { |
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266 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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267 | long cc = imm2int( c ); |
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268 | if ( getRefCount() > 1 ) |
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269 | { |
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270 | decRefCount(); |
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271 | mpz_t dummy; |
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272 | if ( negate ) |
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273 | { |
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274 | mpz_init_set_si( dummy, cc ); |
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275 | mpz_sub( dummy, dummy, thempi ); |
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276 | } |
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277 | else |
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278 | { |
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279 | mpz_init( dummy ); |
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280 | if ( cc < 0 ) |
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281 | mpz_add_ui( dummy, thempi, -cc ); |
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282 | else |
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283 | mpz_sub_ui( dummy, thempi, cc ); |
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284 | } |
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285 | if ( mpz_is_imm( dummy ) ) |
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286 | { |
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287 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
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288 | mpz_clear( dummy ); |
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289 | return res; |
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290 | } |
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291 | else |
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292 | return new InternalInteger( dummy ); |
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293 | } |
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294 | else |
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295 | { |
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296 | if ( negate ) |
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297 | { |
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298 | mpz_t dummy; |
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299 | mpz_init_set_si( dummy, cc ); |
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300 | mpz_sub( thempi, dummy, thempi ); |
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301 | mpz_clear( dummy ); |
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302 | } |
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303 | else |
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304 | if ( cc < 0 ) |
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305 | mpz_add_ui( thempi, thempi, -cc ); |
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306 | else |
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307 | mpz_sub_ui( thempi, thempi, cc ); |
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308 | if ( mpz_is_imm( thempi ) ) |
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309 | { |
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310 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
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311 | delete this; |
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312 | return res; |
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313 | } |
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314 | else |
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315 | return this; |
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316 | } |
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317 | } |
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318 | |
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319 | InternalCF* InternalInteger::mulcoeff( InternalCF* c ) |
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320 | { |
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321 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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322 | long cc = imm2int( c ); |
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323 | if ( getRefCount() > 1 ) |
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324 | { |
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325 | decRefCount(); |
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326 | mpz_t dummy; |
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327 | mpz_init( dummy ); |
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328 | if ( cc < 0 ) |
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329 | { |
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330 | mpz_mul_ui( dummy, thempi, -cc ); |
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331 | mpz_neg( dummy, dummy ); |
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332 | } |
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333 | else |
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334 | mpz_mul_ui( dummy, thempi, cc ); |
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335 | if ( mpz_is_imm( dummy ) ) |
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336 | { |
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337 | InternalCF * res = int2imm( mpz_get_si( dummy ) ); |
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338 | mpz_clear( dummy ); |
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339 | return res; |
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340 | } |
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341 | else |
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342 | return new InternalInteger( dummy ); |
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343 | } |
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344 | else |
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345 | { |
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346 | if ( cc < 0 ) |
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347 | { |
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348 | mpz_mul_ui( thempi, thempi, -cc ); |
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349 | mpz_neg( thempi, thempi ); |
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350 | } |
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351 | else |
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352 | mpz_mul_ui( thempi, thempi, cc ); |
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353 | if ( mpz_is_imm( thempi ) ) |
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354 | { |
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355 | InternalCF * res = int2imm( mpz_get_si( thempi ) ); |
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356 | delete this; |
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357 | return res; |
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358 | } |
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359 | else |
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360 | return this; |
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361 | } |
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362 | } |
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363 | |
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364 | //{{{ InternalCF * InternalInteger::bgcdsame, bgcdcoeff ( const InternalCF * const c ) |
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365 | // docu: see CanonicalForm::bgcd() |
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366 | InternalCF * |
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367 | InternalInteger::bgcdsame ( const InternalCF * const c ) const |
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368 | { |
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369 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, "incompatible base coefficients" ); |
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370 | |
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371 | // simply return 1 if we are calculating over the rationals |
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372 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
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373 | return int2imm( 1 ); |
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374 | |
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375 | // calculate gcd |
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376 | mpz_t result; |
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377 | mpz_init( result ); |
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378 | mpz_gcd( result, thempi, MPI( c ) ); |
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379 | mpz_abs( result, result ); |
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380 | |
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381 | // check for immediate result |
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382 | if ( mpz_is_imm( result ) ) |
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383 | { |
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384 | InternalCF * res = int2imm( mpz_get_si( result ) ); |
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385 | mpz_clear( result ); |
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386 | return res; |
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387 | } |
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388 | else |
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389 | return new InternalInteger( result ); |
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390 | } |
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391 | |
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392 | InternalCF * |
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393 | InternalInteger::bgcdcoeff ( const InternalCF * const c ) |
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394 | { |
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395 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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396 | |
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397 | // simply return 1 if we are calculating over the rationals |
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398 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
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399 | return int2imm( 1 ); |
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400 | |
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401 | long cInt = imm2int( c ); |
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402 | |
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403 | // trivial cases |
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404 | if ( cInt == 1 || cInt == -1 ) |
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405 | return int2imm( 1 ); |
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406 | else if ( cInt == 0 ) |
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407 | return copyObject(); |
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408 | |
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409 | // calculate gcd. We need a positive operand since |
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410 | // `mpz_gcd_ui()' operates an unsigned int's only. |
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411 | if ( cInt < 0 ) cInt = -cInt; |
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412 | mpz_t dummy; |
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413 | mpz_init( dummy ); |
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414 | // we do not need dummy since we know that cInt != 0 |
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415 | cInt = mpz_gcd_ui( dummy, thempi, cInt ); |
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416 | mpz_clear( dummy ); |
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417 | if ( cInt < 0 ) cInt = -cInt; |
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418 | return int2imm( cInt ); |
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419 | } |
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420 | //}}} |
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421 | |
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422 | //{{{ InternalCF * InternalInteger::bextgcdsame( InternalCF * c, CanonicalForm & a, CanonicalForm & b ) |
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423 | InternalCF * |
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424 | InternalInteger::bextgcdsame( InternalCF * c, CanonicalForm & a, CanonicalForm & b ) |
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425 | { |
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426 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, "incompatible base coefficients" ); |
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427 | |
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428 | // simply return 1 if we are calculating over the rationals |
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429 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
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430 | { |
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431 | a = 1/CanonicalForm( copyObject() ); b = 0; |
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432 | return int2imm( 1 ); |
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433 | } |
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434 | |
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435 | // calculate extended gcd |
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436 | mpz_t result, aMPI, bMPI; |
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437 | mpz_init( result ); |
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438 | mpz_init( aMPI ); |
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439 | mpz_init( bMPI ); |
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440 | mpz_gcdext( result, aMPI, bMPI, thempi, MPI( c ) ); |
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441 | |
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442 | // check and modify signs |
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443 | if ( mpz_sgn( result ) < 0 ) |
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444 | { |
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445 | mpz_neg( result, result ); |
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446 | mpz_neg( aMPI, aMPI ); |
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447 | mpz_neg( bMPI, bMPI ); |
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448 | } |
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449 | |
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450 | // postconditioning of result |
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451 | if ( mpz_is_imm( aMPI ) ) |
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452 | { |
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453 | a = CanonicalForm( int2imm( mpz_get_si( aMPI ) ) ); |
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454 | mpz_clear( aMPI ); |
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455 | } |
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456 | else |
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457 | a = CanonicalForm( new InternalInteger( aMPI ) ); |
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458 | if ( mpz_is_imm( bMPI ) ) |
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459 | { |
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460 | b = CanonicalForm( int2imm( mpz_get_si( bMPI ) ) ); |
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461 | mpz_clear( bMPI ); |
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462 | } |
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463 | else |
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464 | b = CanonicalForm( new InternalInteger( bMPI ) ); |
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465 | if ( mpz_is_imm( result ) ) |
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466 | { |
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467 | InternalCF * res = int2imm( mpz_get_si( result ) ); |
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468 | mpz_clear( result ); |
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469 | return res; |
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470 | } |
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471 | else |
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472 | return new InternalInteger( result ); |
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473 | } |
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474 | |
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475 | InternalCF * |
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476 | InternalInteger::bextgcdcoeff( InternalCF * c, CanonicalForm & a, CanonicalForm & b ) |
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477 | { |
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478 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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479 | |
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480 | // simply return 1 if we are calculating over the rationals |
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481 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) |
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482 | { |
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483 | a = 1/CanonicalForm( copyObject() ); b = 0; |
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484 | return int2imm( 1 ); |
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485 | } |
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486 | |
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487 | long cInt = imm2int( c ); |
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488 | |
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489 | // trivial cases |
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490 | if ( cInt == 1 || cInt == -1 ) |
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491 | { |
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492 | a = 0; b = cInt; |
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493 | return int2imm( 1 ); |
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494 | } |
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495 | else if ( cInt == 0 ) |
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496 | { |
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497 | a = 1; b = 0; |
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498 | return copyObject(); |
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499 | } |
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500 | |
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501 | // calculate q and r such that CO = q*cInt + r |
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502 | InternalCF * q = 0, * r = 0; |
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503 | divremcoeff( c, q, r, false ); |
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504 | |
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505 | // we do not repeat all the code to calculate the gcd of two |
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506 | // immediates. Note that r is an immediate since c != 0, so |
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507 | // we do not have to destroy it. q is destroyed by the |
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508 | // CanonicalForm destructor, hence we do not need to worry |
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509 | // about it, either. |
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510 | CanonicalForm aPrime, bPrime; |
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511 | CanonicalForm result = bextgcd( c, r, aPrime, bPrime ); |
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512 | a = bPrime; |
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513 | b = aPrime - CanonicalForm( q ) * bPrime; |
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514 | |
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515 | return result.getval(); |
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516 | } |
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517 | //}}} |
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518 | |
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519 | long InternalInteger::intval() const |
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520 | { |
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521 | return mpz_get_si( thempi ); |
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522 | } |
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523 | |
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524 | int InternalInteger::intmod( int p ) const |
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525 | { |
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526 | return (int)mpz_fdiv_ui( thempi, (unsigned long)p ); |
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527 | } |
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528 | |
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529 | //{{{ int InternalInteger::sign () const |
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530 | // docu: see CanonicalForm::sign() |
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531 | int |
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532 | InternalInteger::sign () const |
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533 | { |
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534 | return mpz_sgn( thempi ); |
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535 | } |
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536 | //}}} |
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537 | |
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538 | //{{{ InternalCF * InternalInteger::sqrt () |
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539 | // docu: see CanonicalForm::sqrt() |
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540 | InternalCF * |
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541 | InternalInteger::sqrt () |
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542 | { |
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543 | ASSERT( mpz_cmp_si( thempi, 0 ) >= 0, "sqrt() argument < 0" ); |
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544 | mpz_t result; |
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545 | mpz_init( result ); |
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546 | mpz_sqrt( result, thempi ); |
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547 | if ( mpz_is_imm( result ) ) |
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548 | { |
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549 | InternalCF * res = int2imm( mpz_get_si( result ) ); |
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550 | mpz_clear( result ); |
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551 | return res; |
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552 | } |
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553 | else |
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554 | return new InternalInteger( result ); |
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555 | } |
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556 | //}}} |
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557 | |
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558 | //{{{ int InternalInteger::ilog2 () |
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559 | // docu: see CanonicalForm::ilog2() |
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560 | int |
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561 | InternalInteger::ilog2 () |
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562 | { |
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563 | ASSERT( mpz_cmp_si( thempi, 0 ) > 0, "log() argument <= 0" ); |
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564 | return mpz_sizeinbase( thempi, 2 ) - 1; |
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565 | } |
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566 | //}}} |
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