1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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2 | |
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3 | /** |
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4 | * |
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5 | * @file int_intdiv.cc |
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6 | * |
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7 | * 'InternalInteger' division algorithms. |
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8 | * |
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9 | **/ |
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10 | |
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11 | |
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12 | #include "config.h" |
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13 | |
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14 | |
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15 | #include "canonicalform.h" |
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16 | #include "imm.h" |
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17 | #include "int_cf.h" |
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18 | #include "int_int.h" |
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19 | #include "int_rat.h" |
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20 | #include "factory/cf_gmp.h" |
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21 | #include "gmpext.h" |
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22 | #include "templates/ftmpl_functions.h" |
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23 | |
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24 | /** |
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25 | * @sa CanonicalForm::operator /(), InternalInteger::dividecoeff() |
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26 | **/ |
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27 | InternalCF * |
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28 | InternalInteger::dividesame ( InternalCF * c ) |
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29 | { |
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30 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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31 | "type error: InternalInteger expected" ); |
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32 | |
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33 | if ( c == this ) { |
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34 | if ( deleteObject() ) delete this; |
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35 | return int2imm( 1 ); |
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36 | } |
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37 | |
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38 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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39 | mpz_t n, d; |
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40 | mpz_init_set( n, thempi ); |
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41 | mpz_init_set( d, MPI( c ) ); |
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42 | if ( deleteObject() ) delete this; |
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43 | InternalRational * result = new InternalRational( n, d ); |
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44 | return result->normalize_myself(); |
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45 | } |
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46 | |
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47 | if ( getRefCount() > 1 ) { |
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48 | decRefCount(); |
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49 | mpz_t mpiResult; |
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50 | mpz_init( mpiResult ); |
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51 | if ( mpz_sgn( MPI( c ) ) > 0 ) |
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52 | mpz_fdiv_q( mpiResult, thempi, MPI( c ) ); |
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53 | else |
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54 | mpz_cdiv_q( mpiResult, thempi, MPI( c ) ); |
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55 | return normalizeMPI( mpiResult ); |
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56 | } else { |
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57 | if ( mpz_sgn( MPI( c ) ) > 0 ) |
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58 | mpz_fdiv_q( thempi, thempi, MPI( c ) ); |
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59 | else |
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60 | mpz_cdiv_q( thempi, thempi, MPI( c ) ); |
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61 | return normalizeMyself(); |
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62 | } |
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63 | } |
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64 | |
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65 | /** |
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66 | * @sa CanonicalForm::operator /(), InternalInteger::dividesame() |
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67 | **/ |
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68 | InternalCF * |
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69 | InternalInteger::dividecoeff ( InternalCF * c, bool invert ) |
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70 | { |
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71 | ASSERT( ::is_imm( c ) == INTMARK, |
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72 | "type error: immediate integer expected" ); |
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73 | ASSERT( invert || imm2int( c ) != 0, |
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74 | "math error: divide by zero" ); |
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75 | |
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76 | long intC = imm2int( c ); |
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77 | |
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78 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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79 | mpz_t n, d; |
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80 | if ( invert ) { |
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81 | mpz_init_set_si( n, intC ); |
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82 | mpz_init_set( d, thempi ); |
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83 | } else { |
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84 | mpz_init_set( n, thempi ); |
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85 | mpz_init_set_si( d, intC ); |
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86 | } |
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87 | if ( deleteObject() ) delete this; |
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88 | InternalRational * result = new InternalRational( n, d ); |
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89 | return result->normalize_myself(); |
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90 | } |
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91 | |
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92 | if ( invert ) { |
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93 | int mpiSign = mpz_sgn( thempi ); |
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94 | if ( deleteObject() ) delete this; |
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95 | if ( intC >= 0 ) |
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96 | return int2imm( 0 ); |
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97 | else |
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98 | return int2imm( -mpiSign ); |
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99 | } else if ( getRefCount() > 1 ) { |
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100 | decRefCount(); |
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101 | mpz_t mpiResult; |
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102 | mpz_init( mpiResult ); |
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103 | if ( intC > 0 ) |
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104 | mpz_fdiv_q_ui( mpiResult, thempi, intC ); |
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105 | else { |
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106 | mpz_fdiv_q_ui( mpiResult, thempi, -intC ); |
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107 | mpz_neg( mpiResult, mpiResult ); |
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108 | } |
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109 | return normalizeMPI( mpiResult ); |
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110 | } else { |
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111 | if ( intC > 0 ) |
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112 | mpz_fdiv_q_ui( thempi, thempi, intC ); |
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113 | else { |
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114 | mpz_fdiv_q_ui( thempi, thempi, -intC ); |
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115 | mpz_neg( thempi, thempi ); |
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116 | } |
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117 | return normalizeMyself(); |
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118 | } |
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119 | } |
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120 | |
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121 | /** |
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122 | * @sa CanonicalForm::div(), InternalInteger::divcoeff() |
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123 | **/ |
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124 | InternalCF * |
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125 | InternalInteger::divsame ( InternalCF * c ) |
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126 | { |
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127 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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128 | "type error: InternalInteger expected" ); |
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129 | |
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130 | if ( c == this ) { |
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131 | if ( deleteObject() ) delete this; |
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132 | return int2imm( 1 ); |
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133 | } |
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134 | |
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135 | if ( getRefCount() > 1 ) { |
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136 | deleteObject(); |
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137 | mpz_t mpiResult; |
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138 | mpz_init( mpiResult ); |
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139 | mpz_divexact( mpiResult, thempi, MPI( c ) ); |
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140 | return normalizeMPI( mpiResult ); |
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141 | } else { |
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142 | mpz_divexact( thempi, thempi, MPI( c ) ); |
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143 | return normalizeMyself(); |
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144 | } |
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145 | } |
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146 | |
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147 | /** |
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148 | * @sa CanonicalForm::div(), InternalInteger::divsame() |
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149 | **/ |
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150 | InternalCF * |
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151 | InternalInteger::divcoeff ( InternalCF * c, bool invert ) |
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152 | { |
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153 | ASSERT( ::is_imm( c ) == INTMARK, |
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154 | "type error: immediate integer expected" ); |
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155 | ASSERT( invert || imm2int( c ) != 0, |
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156 | "math error: divide by zero" ); |
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157 | ASSERT( ! invert || imm2int( c ) == 0, |
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158 | "math error: c does not divide CO" ); |
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159 | |
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160 | if ( invert ) { |
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161 | if ( deleteObject() ) delete this; |
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162 | // this may happen iff `c' == 0 |
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163 | return int2imm( 0 ); |
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164 | } else if ( getRefCount() > 1 ) { |
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165 | deleteObject(); |
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166 | mpz_t mpiC; |
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167 | mpz_t mpiResult; |
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168 | mpz_init_set_si( mpiC, imm2int( c ) ); |
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169 | mpz_init( mpiResult ); |
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170 | mpz_divexact( mpiResult, thempi, mpiC ); |
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171 | mpz_clear( mpiC ); |
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172 | return normalizeMPI( mpiResult ); |
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173 | } else { |
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174 | mpz_t mpiC; |
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175 | mpz_init_set_si( mpiC, imm2int( c ) ); |
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176 | mpz_divexact( thempi, thempi, mpiC ); |
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177 | mpz_clear( mpiC ); |
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178 | return normalizeMyself(); |
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179 | } |
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180 | } |
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181 | |
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182 | /** |
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183 | * @sa CanonicalForm::operator %(), InternalInteger::modulocoeff() |
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184 | **/ |
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185 | InternalCF * |
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186 | InternalInteger::modulosame ( InternalCF * c ) |
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187 | { |
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188 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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189 | "type error: InternalInteger expected" ); |
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190 | |
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191 | if ( (c == this) || cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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192 | if ( deleteObject() ) delete this; |
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193 | return int2imm( 0 ); |
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194 | } |
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195 | |
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196 | if ( getRefCount() > 1 ) { |
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197 | decRefCount(); |
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198 | mpz_t mpiResult; |
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199 | mpz_init( mpiResult ); |
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200 | mpz_mod( mpiResult, thempi, MPI( c ) ); |
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201 | return uiNormalizeMPI( mpiResult ); |
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202 | } else { |
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203 | mpz_mod( thempi, thempi, MPI( c ) ); |
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204 | return uiNormalizeMyself(); |
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205 | } |
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206 | } |
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207 | |
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208 | /** |
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209 | * @sa CanonicalForm::operator %(), InternalInteger::modulosame() |
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210 | **/ |
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211 | InternalCF * |
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212 | InternalInteger::modulocoeff ( InternalCF * c, bool invert ) |
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213 | { |
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214 | ASSERT( ::is_imm( c ) == INTMARK, |
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215 | "type error: immediate integer expected" ); |
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216 | ASSERT( invert || imm2int( c ) != 0, |
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217 | "math error: divide by zero" ); |
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218 | |
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219 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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220 | if ( deleteObject() ) delete this; |
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221 | return int2imm( 0 ); |
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222 | } |
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223 | |
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224 | long intC = imm2int( c ); |
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225 | |
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226 | if ( invert ) { |
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227 | if ( intC >= 0 ) { |
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228 | if ( deleteObject() ) delete this; |
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229 | return c; |
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230 | } else { |
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231 | // no checks for refCount == 1 are done. It is not worth ... |
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232 | mpz_t mpiResult; |
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233 | mpz_init_set( mpiResult, thempi ); |
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234 | mpz_abs( mpiResult, mpiResult ); |
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235 | mpz_sub_ui( mpiResult, mpiResult, -intC ); |
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236 | if ( deleteObject() ) delete this; |
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237 | return uiNormalizeMPI( mpiResult ); |
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238 | } |
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239 | } else { |
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240 | mpz_t dummy; |
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241 | mpz_init( dummy ); |
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242 | InternalCF * result = int2imm( mpz_mod_ui( dummy, thempi, tabs( intC ) ) ); |
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243 | mpz_clear( dummy ); |
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244 | if ( deleteObject() ) delete this; |
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245 | return result; |
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246 | } |
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247 | } |
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248 | |
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249 | /** |
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250 | * @sa see CanonicalForm::mod(), InternalInteger::modcoeff() |
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251 | **/ |
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252 | InternalCF * |
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253 | InternalInteger::modsame ( InternalCF * c ) |
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254 | { |
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255 | return modulosame( c ); |
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256 | } |
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257 | |
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258 | /** |
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259 | * @sa see CanonicalForm::mod(), InternalInteger::modsame() |
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260 | **/ |
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261 | InternalCF * |
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262 | InternalInteger::modcoeff ( InternalCF * c, bool invert ) |
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263 | { |
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264 | return modulocoeff( c, invert ); |
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265 | } |
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266 | |
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267 | /** |
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268 | * @sa CanonicalForm::divrem(), InternalInteger::divremcoeff() |
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269 | **/ |
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270 | void |
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271 | InternalInteger::divremsame ( InternalCF * c, InternalCF * & quot, InternalCF * & rem ) |
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272 | { |
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273 | ASSERT( ! ::is_imm( c ) && c->levelcoeff() == IntegerDomain, |
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274 | "type error: InternalInteger expected" ); |
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275 | |
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276 | if ( c == this ) { |
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277 | quot = int2imm( 1 ); |
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278 | rem = int2imm( 0 ); |
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279 | return; |
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280 | } |
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281 | |
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282 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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283 | mpz_t n, d; |
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284 | mpz_init_set( n, thempi ); |
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285 | mpz_init_set( d, MPI( c ) ); |
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286 | InternalRational * result = new InternalRational( n, d ); |
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287 | quot = result->normalize_myself(); |
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288 | rem = int2imm( 0 ); |
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289 | return; |
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290 | } |
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291 | |
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292 | mpz_t q; |
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293 | mpz_t r; |
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294 | mpz_init( q ); mpz_init( r ); |
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295 | if ( mpz_sgn( MPI( c ) ) > 0 ) |
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296 | mpz_fdiv_qr( q, r, thempi, MPI( c ) ); |
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297 | else |
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298 | mpz_cdiv_qr( q, r, thempi, MPI( c ) ); |
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299 | |
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300 | quot = normalizeMPI( q ); |
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301 | rem = uiNormalizeMPI( r ); |
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302 | } |
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303 | |
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304 | /** |
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305 | * @sa CanonicalForm::divrem(), InternalInteger::divremsame() |
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306 | **/ |
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307 | void |
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308 | InternalInteger::divremcoeff ( InternalCF * c, InternalCF * & quot, InternalCF * & rem, bool invert ) |
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309 | { |
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310 | ASSERT( ::is_imm( c ) == INTMARK, |
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311 | "type error: immediate integer expected" ); |
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312 | ASSERT( invert || imm2int( c ) != 0, |
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313 | "math error: divide by zero" ); |
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314 | |
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315 | long intC = imm2int( c ); |
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316 | |
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317 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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318 | mpz_t n, d; |
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319 | if ( invert ) { |
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320 | mpz_init_set_si( n, intC ); |
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321 | mpz_init_set( d, thempi ); |
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322 | } else { |
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323 | mpz_init_set( n, thempi ); |
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324 | mpz_init_set_si( d, intC ); |
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325 | } |
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326 | InternalRational * result = new InternalRational( n, d ); |
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327 | quot = result->normalize_myself(); |
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328 | rem = int2imm( 0 ); |
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329 | return; |
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330 | } |
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331 | |
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332 | if ( invert ) { |
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333 | if ( intC >= 0 ) { |
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334 | rem = c; |
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335 | quot = int2imm( 0 ); |
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336 | } else { |
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337 | mpz_t mpiResult; |
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338 | mpz_init_set( mpiResult, thempi ); |
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339 | mpz_abs( mpiResult, mpiResult ); |
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340 | mpz_sub_ui( mpiResult, mpiResult, -intC ); |
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341 | rem = uiNormalizeMPI( mpiResult ); |
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342 | quot = int2imm( -mpz_sgn( thempi ) ); |
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343 | } |
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344 | } else { |
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345 | mpz_t q; |
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346 | mpz_t dummy; |
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347 | mpz_init( q ); mpz_init( dummy ); |
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348 | if ( intC > 0 ) { |
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349 | rem = int2imm( mpz_fdiv_qr_ui( q, dummy, thempi, intC ) ); |
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350 | quot = normalizeMPI( q ); |
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351 | } else { |
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352 | rem = int2imm( mpz_fdiv_qr_ui( q, dummy, thempi, -intC ) ); |
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353 | mpz_neg( q, q ); |
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354 | quot = normalizeMPI( q ); |
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355 | } |
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356 | mpz_clear( dummy ); |
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357 | } |
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358 | } |
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359 | |
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360 | /** |
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361 | * @sa CanonicalForm::divremt(), InternalInteger::divremcoefft() |
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362 | **/ |
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363 | bool |
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364 | InternalInteger::divremsamet ( InternalCF * c, InternalCF * & quot, InternalCF * & rem ) |
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365 | { |
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366 | divremsame( c, quot, rem ); |
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367 | return true; |
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368 | } |
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369 | |
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370 | /** |
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371 | * @sa CanonicalForm::divremt(), InternalInteger::divremsamet() |
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372 | **/ |
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373 | bool |
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374 | InternalInteger::divremcoefft ( InternalCF * c, InternalCF * & quot, InternalCF * & rem, bool invert ) |
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375 | { |
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376 | divremcoeff( c, quot, rem, invert ); |
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377 | return true; |
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378 | } |
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