1 | // emacs edit mode for this file is -*- C++ -*- |
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2 | // $Id: int_int.cc,v 1.0 1996-05-17 10:59:46 stobbe Exp $ |
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3 | |
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4 | /* |
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5 | $Log: not supported by cvs2svn $ |
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6 | */ |
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7 | |
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8 | #include "assert.h" |
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9 | #include "cf_defs.h" |
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10 | #include "cf_globals.h" |
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11 | #include "int_int.h" |
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12 | #include "int_rat.h" |
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13 | #include "imm.h" |
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14 | #include "canonicalform.h" |
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15 | #include "gmpext.h" |
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16 | |
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17 | #define IntInt InternalInteger |
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18 | |
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19 | |
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20 | InternalInteger::InternalInteger() |
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21 | { |
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22 | mpz_init( &thempi ); |
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23 | } |
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24 | |
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25 | InternalInteger::InternalInteger( const int i ) |
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26 | { |
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27 | mpz_init_set_si( &thempi, i ); |
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28 | } |
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29 | |
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30 | InternalInteger::InternalInteger( const MP_INT & mpi) : thempi( mpi ) {} |
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31 | |
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32 | InternalInteger::InternalInteger( const char * str ) |
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33 | { |
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34 | mpz_init_set_str( &thempi, str, 10 ); |
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35 | } |
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36 | |
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37 | InternalInteger::~InternalInteger() |
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38 | { |
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39 | mpz_clear( &thempi ); |
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40 | } |
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41 | |
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42 | InternalCF* InternalInteger::deepCopyObject() const |
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43 | { |
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44 | MP_INT dummy; |
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45 | mpz_init_set( &dummy, &thempi ); |
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46 | return new InternalInteger( dummy ); |
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47 | } |
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48 | |
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49 | void InternalInteger::print( ostream & os, char * c ) |
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50 | { |
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51 | if ( *c == '*' && mpz_cmp_si( &thempi, 1 ) == 0 ) |
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52 | os << c+1; |
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53 | else if ( *c == '*' && mpz_cmp_si( &thempi, -1 ) == 0 ) |
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54 | os << '-' << c+1; |
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55 | else { |
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56 | char * str = new char[mpz_sizeinbase( &thempi, 10 ) + 2]; |
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57 | str = mpz_get_str( str, 10, &thempi ); |
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58 | os << str << c; |
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59 | delete [] str; |
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60 | } |
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61 | } |
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62 | |
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63 | bool InternalInteger::isZero() const |
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64 | { |
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65 | return mpz_cmp_si( &thempi, 0 ) == 0; |
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66 | } |
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67 | |
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68 | bool InternalInteger::isOne() const |
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69 | { |
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70 | return mpz_cmp_si( &thempi, 1 ) == 0; |
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71 | } |
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72 | |
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73 | bool InternalInteger::is_imm() const |
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74 | { |
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75 | return mpz_is_imm( &thempi ); |
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76 | } |
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77 | |
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78 | InternalCF* InternalInteger::genZero() |
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79 | { |
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80 | if ( isZero() ) |
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81 | return copyObject(); |
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82 | else |
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83 | return new InternalInteger(); |
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84 | } |
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85 | |
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86 | InternalCF* InternalInteger::genOne() |
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87 | { |
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88 | if ( isOne() ) |
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89 | return copyObject(); |
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90 | else |
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91 | return new InternalInteger(); |
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92 | } |
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93 | |
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94 | InternalCF* InternalInteger::neg() |
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95 | { |
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96 | if ( getRefCount() > 1 ) { |
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97 | decRefCount(); |
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98 | MP_INT dummy; |
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99 | mpz_init( &dummy ); |
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100 | mpz_neg( &dummy, &thempi ); |
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101 | return new InternalInteger( dummy ); |
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102 | } |
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103 | else { |
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104 | mpz_neg( &thempi, &thempi ); |
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105 | return this; |
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106 | } |
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107 | } |
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108 | |
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109 | |
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110 | int InternalInteger::comparesame( InternalCF * c ) |
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111 | { |
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112 | return mpz_cmp( &thempi, &MPI( c ) ); |
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113 | } |
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114 | |
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115 | InternalCF* InternalInteger::addsame( InternalCF * c ) |
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116 | { |
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117 | if ( getRefCount() > 1 ) { |
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118 | decRefCount(); |
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119 | MP_INT dummy; |
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120 | mpz_init( &dummy ); |
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121 | mpz_add( &dummy, &thempi, &MPI( c ) ); |
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122 | if ( mpz_is_imm( &dummy ) ) { |
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123 | InternalCF * res = int2imm( mpz_get_si( &dummy ) ); |
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124 | mpz_clear( &dummy ); |
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125 | return res; |
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126 | } |
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127 | else |
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128 | return new InternalInteger( dummy ); |
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129 | } |
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130 | else { |
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131 | mpz_add( &thempi, &thempi, &MPI( c ) ); |
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132 | if ( mpz_is_imm( &thempi ) ) { |
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133 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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134 | delete this; |
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135 | return res; |
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136 | } |
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137 | else |
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138 | return this; |
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139 | } |
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140 | } |
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141 | |
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142 | InternalCF* InternalInteger::subsame( InternalCF * c ) |
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143 | { |
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144 | if ( getRefCount() > 1 ) { |
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145 | decRefCount(); |
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146 | MP_INT dummy; |
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147 | mpz_init( &dummy ); |
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148 | mpz_sub( &dummy, &thempi, &MPI( c ) ); |
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149 | if ( mpz_is_imm( &dummy ) ) { |
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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 | mpz_sub( &thempi, &thempi, &MPI( c ) ); |
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159 | if ( mpz_is_imm( &thempi ) ) { |
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160 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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161 | delete this; |
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162 | return res; |
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163 | } |
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164 | else |
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165 | return this; |
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166 | } |
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167 | } |
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168 | |
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169 | InternalCF* InternalInteger::mulsame( InternalCF * c ) |
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170 | { |
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171 | if ( getRefCount() > 1 ) { |
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172 | decRefCount(); |
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173 | MP_INT dummy; |
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174 | mpz_init( &dummy ); |
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175 | mpz_mul( &dummy, &thempi, &MPI( c ) ); |
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176 | if ( mpz_is_imm( &dummy ) ) { |
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177 | InternalCF * res = int2imm( mpz_get_si( &dummy ) ); |
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178 | mpz_clear( &dummy ); |
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179 | return res; |
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180 | } |
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181 | else |
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182 | return new InternalInteger( dummy ); |
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183 | } |
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184 | else { |
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185 | mpz_mul( &thempi, &thempi, &MPI( c ) ); |
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186 | if ( mpz_is_imm( &thempi ) ) { |
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187 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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188 | delete this; |
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189 | return res; |
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190 | } |
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191 | else |
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192 | return this; |
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193 | } |
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194 | } |
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195 | |
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196 | InternalCF* InternalInteger::dividesame( InternalCF * c ) |
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197 | { |
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198 | return divsame( c ); |
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199 | } |
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200 | |
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201 | InternalCF* InternalInteger::divsame( InternalCF * c ) |
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202 | { |
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203 | if ( c == this ) { |
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204 | if ( deleteObject() ) delete this; |
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205 | return CFFactory::basic( 1 ); |
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206 | } |
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207 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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208 | MP_INT n, d; |
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209 | mpz_init_set( &n, &thempi ); |
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210 | mpz_init_set( &d, &MPI( c ) ); |
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211 | if ( deleteObject() ) delete this; |
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212 | InternalRational * result = new InternalRational( n, d ); |
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213 | return result->normalize_myself(); |
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214 | } |
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215 | if ( getRefCount() > 1 ) { |
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216 | decRefCount(); |
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217 | MP_INT quot; |
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218 | MP_INT rem; |
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219 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
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220 | int signc = mpz_cmp_si( &MPI( c ), 0 ); |
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221 | if ( signmpi < 0 ) |
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222 | mpz_neg( &thempi, &thempi ); |
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223 | if ( signc < 0 ) |
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224 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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225 | mpz_init( " ); mpz_init( &rem ); |
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226 | mpz_divmod( ", &rem, &thempi, &MPI( c ) ); |
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227 | if ( signmpi < 0 ) |
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228 | mpz_neg( &thempi, &thempi ); |
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229 | if ( signc < 0 ) |
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230 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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231 | if ( signmpi < 0 && signc < 0 ) { |
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232 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
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233 | mpz_add_ui( ", ", 1 ); |
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234 | } |
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235 | else if ( signc < 0 ) |
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236 | mpz_neg( ", " ); |
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237 | else if ( signmpi < 0 ) { |
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238 | mpz_neg( ", " ); |
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239 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
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240 | mpz_sub_ui( ", ", 1 ); |
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241 | } |
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242 | mpz_clear( &rem ); |
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243 | if ( mpz_is_imm( " ) ) { |
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244 | InternalCF * res = int2imm( mpz_get_si( " ) ); |
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245 | mpz_clear( " ); |
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246 | return res; |
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247 | } |
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248 | else |
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249 | return new InternalInteger( quot ); |
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250 | } |
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251 | else { |
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252 | MP_INT rem; |
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253 | mpz_init( &rem ); |
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254 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
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255 | int signc = mpz_cmp_si( &MPI( c ), 0 ); |
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256 | if ( signmpi < 0 ) |
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257 | mpz_neg( &thempi, &thempi ); |
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258 | if ( signc < 0 ) |
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259 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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260 | mpz_divmod( &thempi, &rem, &thempi, &MPI( c ) ); |
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261 | if ( signc < 0 ) |
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262 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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263 | if ( signmpi < 0 && signc < 0 ) { |
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264 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
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265 | mpz_add_ui( &thempi, &thempi, 1 ); |
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266 | } |
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267 | else if ( signc < 0 ) |
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268 | mpz_neg( &thempi, &thempi ); |
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269 | else if ( signmpi < 0 ) { |
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270 | mpz_neg( &thempi, &thempi ); |
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271 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
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272 | mpz_sub_ui( &thempi, &thempi, 1 ); |
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273 | } |
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274 | mpz_clear( &rem ); |
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275 | if ( mpz_is_imm( &thempi ) ) { |
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276 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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277 | delete this; |
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278 | return res; |
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279 | } |
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280 | else |
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281 | return this; |
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282 | } |
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283 | } |
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284 | |
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285 | InternalCF* InternalInteger::modulosame ( InternalCF * c ) |
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286 | { |
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287 | return modsame( c ); |
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288 | } |
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289 | |
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290 | InternalCF* InternalInteger::modsame( InternalCF * c ) |
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291 | { |
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292 | if ( cf_glob_switches.isOn( SW_RATIONAL ) || c == this ) { |
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293 | if ( deleteObject() ) delete this; |
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294 | return CFFactory::basic( 0 ); |
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295 | } |
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296 | if ( getRefCount() > 1 ) { |
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297 | decRefCount(); |
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298 | MP_INT dummy; |
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299 | mpz_init( &dummy ); |
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300 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
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301 | int signc = mpz_cmp_si( &MPI( c ), 0 ); |
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302 | if ( signmpi < 0 ) |
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303 | mpz_neg( &thempi, &thempi ); |
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304 | if ( signc < 0 ) |
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305 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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306 | mpz_mod( &dummy, &thempi, &MPI( c ) ); |
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307 | if ( signmpi < 0 && mpz_cmp_si( &dummy, 0 ) != 0 ) { |
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308 | mpz_sub( &dummy, &MPI( c ), &dummy ); |
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309 | } |
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310 | if ( signmpi < 0 ) |
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311 | mpz_neg( &thempi, &thempi ); |
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312 | if ( signc < 0 ) |
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313 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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314 | if ( mpz_is_imm( &dummy ) ) { |
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315 | InternalCF * res = int2imm( mpz_get_si( &dummy ) ); |
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316 | mpz_clear( &dummy ); |
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317 | return res; |
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318 | } |
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319 | else |
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320 | return new InternalInteger( dummy ); |
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321 | } |
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322 | else { |
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323 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
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324 | int signc = mpz_cmp_si( &MPI( c ), 0 ); |
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325 | if ( signmpi < 0 ) |
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326 | mpz_neg( &thempi, &thempi ); |
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327 | if ( signc < 0 ) |
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328 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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329 | mpz_mod( &thempi, &thempi, &MPI( c ) ); |
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330 | if ( signmpi < 0 && mpz_cmp_si( &thempi, 0 ) != 0 ) { |
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331 | mpz_sub( &thempi, &MPI( c ), &thempi ); |
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332 | } |
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333 | if ( signc < 0 ) |
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334 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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335 | if ( mpz_is_imm( &thempi ) ) { |
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336 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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337 | delete this; |
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338 | return res; |
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339 | } |
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340 | else |
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341 | return this; |
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342 | } |
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343 | } |
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344 | |
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345 | void InternalInteger::divremsame( InternalCF * c, InternalCF*& quot, InternalCF*& rem ) |
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346 | { |
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347 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
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348 | quot = copyObject(); |
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349 | quot = quot->dividesame( c ); |
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350 | rem = CFFactory::basic( 0 ); |
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351 | } |
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352 | else if ( c == this ) { |
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353 | quot = CFFactory::basic( 1 ); |
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354 | rem = CFFactory::basic( 0 ); |
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355 | } |
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356 | else { |
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357 | MP_INT q; |
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358 | MP_INT r; |
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359 | mpz_init( &q ); mpz_init( &r ); |
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360 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
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361 | int signc = mpz_cmp_si( &MPI( c ), 0 ); |
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362 | if ( signmpi < 0 ) |
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363 | mpz_neg( &thempi, &thempi ); |
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364 | if ( signc < 0 ) |
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365 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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366 | mpz_divmod( &q, &r, &thempi, &MPI( c ) ); |
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367 | if ( signmpi < 0 && mpz_cmp_si( &r, 0 ) != 0 ) { |
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368 | mpz_sub( &r, &MPI( c ), &r ); |
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369 | } |
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370 | if ( signmpi < 0 ) |
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371 | mpz_neg( &thempi, &thempi ); |
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372 | if ( signc < 0 ) |
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373 | mpz_neg( &MPI( c ), &MPI( c ) ); |
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374 | if ( signmpi < 0 && signc < 0 ) { |
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375 | if ( mpz_cmp_si( &r, 0 ) != 0 ) |
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376 | mpz_add_ui( &q, &q, 1 ); |
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377 | } |
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378 | else if ( signc < 0 ) |
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379 | mpz_neg( &q, &q ); |
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380 | else if ( signmpi < 0 ) { |
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381 | mpz_neg( &q, &q ); |
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382 | if ( mpz_cmp_si( &r, 0 ) != 0 ) |
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383 | mpz_sub_ui( &q, &q, 1 ); |
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384 | } |
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385 | if ( mpz_is_imm( &q ) ) |
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386 | quot = int2imm( mpz_get_si( &q ) ); |
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387 | else |
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388 | quot = new InternalInteger( q ); |
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389 | if ( mpz_is_imm( &r ) ) |
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390 | rem = int2imm( mpz_get_si( &r ) ); |
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391 | else |
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392 | rem = new InternalInteger( r ); |
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393 | } |
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394 | } |
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395 | |
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396 | bool InternalInteger::divremsamet( InternalCF* c, InternalCF*& quot, InternalCF*& rem ) |
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397 | { |
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398 | divremsame( c, quot, rem ); |
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399 | return true; |
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400 | } |
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401 | |
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402 | int InternalInteger::comparecoeff( InternalCF* c ) |
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403 | { |
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404 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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405 | return mpz_cmp_si( &thempi, imm2int( c ) ); |
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406 | } |
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407 | |
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408 | InternalCF* InternalInteger::addcoeff( InternalCF* c ) |
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409 | { |
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410 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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411 | int cc = imm2int( c ); |
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412 | if ( getRefCount() > 1 ) { |
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413 | decRefCount(); |
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414 | MP_INT dummy; |
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415 | mpz_init( &dummy ); |
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416 | if ( cc < 0 ) |
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417 | mpz_sub_ui( &dummy, &thempi, -cc ); |
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418 | else |
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419 | mpz_add_ui( &dummy, &thempi, cc ); |
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420 | if ( mpz_is_imm( &dummy ) ) { |
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421 | InternalCF * res = int2imm( mpz_get_si( &dummy ) ); |
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422 | mpz_clear( &dummy ); |
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423 | return res; |
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424 | } |
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425 | else |
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426 | return new InternalInteger( dummy ); |
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427 | } |
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428 | else { |
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429 | if ( cc < 0 ) |
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430 | mpz_sub_ui( &thempi, &thempi, -cc ); |
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431 | else |
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432 | mpz_add_ui( &thempi, &thempi, cc ); |
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433 | if ( mpz_is_imm( &thempi ) ) { |
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434 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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435 | delete this; |
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436 | return res; |
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437 | } |
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438 | else |
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439 | return this; |
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440 | } |
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441 | } |
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442 | |
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443 | InternalCF* InternalInteger::subcoeff( InternalCF* c, bool negate ) |
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444 | { |
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445 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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446 | int cc = imm2int( c ); |
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447 | if ( getRefCount() > 1 ) { |
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448 | decRefCount(); |
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449 | MP_INT dummy; |
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450 | if ( negate ) { |
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451 | mpz_init_set_si( &dummy, cc ); |
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452 | mpz_sub( &dummy, &dummy, &thempi ); |
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453 | } |
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454 | else { |
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455 | mpz_init( &dummy ); |
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456 | if ( cc < 0 ) |
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457 | mpz_add_ui( &dummy, &thempi, -cc ); |
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458 | else |
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459 | mpz_sub_ui( &dummy, &thempi, cc ); |
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460 | } |
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461 | if ( mpz_is_imm( &dummy ) ) { |
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462 | InternalCF * res = int2imm( mpz_get_si( &dummy ) ); |
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463 | mpz_clear( &dummy ); |
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464 | return res; |
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465 | } |
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466 | else |
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467 | return new InternalInteger( dummy ); |
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468 | } |
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469 | else { |
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470 | if ( negate ) { |
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471 | MP_INT dummy; |
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472 | mpz_init_set_si( &dummy, cc ); |
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473 | mpz_sub( &thempi, &dummy, &thempi ); |
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474 | mpz_clear( &dummy ); |
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475 | } |
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476 | else |
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477 | if ( cc < 0 ) |
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478 | mpz_add_ui( &thempi, &thempi, -cc ); |
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479 | else |
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480 | mpz_sub_ui( &thempi, &thempi, cc ); |
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481 | if ( mpz_is_imm( &thempi ) ) { |
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482 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
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483 | delete this; |
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484 | return res; |
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485 | } |
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486 | else |
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487 | return this; |
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488 | } |
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489 | } |
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490 | |
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491 | InternalCF* InternalInteger::mulcoeff( InternalCF* c ) |
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492 | { |
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493 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
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494 | int cc = imm2int( c ); |
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495 | if ( getRefCount() > 1 ) { |
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496 | decRefCount(); |
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497 | MP_INT dummy; |
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498 | mpz_init( &dummy ); |
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499 | if ( cc < 0 ) { |
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500 | mpz_mul_ui( &dummy, &thempi, -cc ); |
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501 | mpz_neg( &dummy, &dummy ); |
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502 | } |
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503 | else |
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504 | mpz_mul_ui( &dummy, &thempi, cc ); |
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505 | if ( mpz_is_imm( &dummy ) ) { |
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506 | InternalCF * res = int2imm( mpz_get_si( &dummy ) ); |
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507 | mpz_clear( &dummy ); |
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508 | return res; |
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509 | } |
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510 | else |
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511 | return new InternalInteger( dummy ); |
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512 | } |
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513 | else { |
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514 | MP_INT dummy; |
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515 | mpz_init_set_si( &dummy, cc ); |
---|
516 | if ( cc < 0 ) { |
---|
517 | mpz_mul_ui( &thempi, &thempi, -cc ); |
---|
518 | mpz_neg( &thempi, &thempi ); |
---|
519 | } |
---|
520 | else |
---|
521 | mpz_mul_ui( &thempi, &thempi, cc ); |
---|
522 | if ( mpz_is_imm( &thempi ) ) { |
---|
523 | InternalCF * res = int2imm( mpz_get_si( &thempi ) ); |
---|
524 | delete this; |
---|
525 | return res; |
---|
526 | } |
---|
527 | else |
---|
528 | return this; |
---|
529 | } |
---|
530 | } |
---|
531 | |
---|
532 | InternalCF* InternalInteger::dividecoeff( InternalCF* c, bool invert ) |
---|
533 | { |
---|
534 | return divcoeff( c, invert ); |
---|
535 | } |
---|
536 | |
---|
537 | InternalCF* InternalInteger::divcoeff( InternalCF* c, bool invert ) |
---|
538 | { |
---|
539 | ASSERT( invert || ! ::is_imm( c ) || imm2int( c ) != 0, "divide by zero" ); |
---|
540 | int cc = imm2int( c ); |
---|
541 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
---|
542 | MP_INT n, d; |
---|
543 | if ( invert ) { |
---|
544 | mpz_init_set_si( &n, cc ); |
---|
545 | mpz_init_set( &d, &thempi ); |
---|
546 | } |
---|
547 | else { |
---|
548 | mpz_init_set_si( &d, cc ); |
---|
549 | mpz_init_set( &n, &thempi ); |
---|
550 | } |
---|
551 | if ( deleteObject() ) delete this; |
---|
552 | InternalRational * result = new InternalRational( n, d ); |
---|
553 | return result->normalize_myself(); |
---|
554 | } |
---|
555 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
556 | MP_INT quot; |
---|
557 | MP_INT rem; |
---|
558 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
---|
559 | int signc = cc; |
---|
560 | mpz_init( " ); mpz_init( &rem ); |
---|
561 | if ( signmpi < 0 ) |
---|
562 | mpz_neg( &thempi, &thempi ); |
---|
563 | if ( signc < 0 ) |
---|
564 | cc = -cc; |
---|
565 | if ( invert ) { |
---|
566 | MP_INT ccc; |
---|
567 | mpz_init_set_si( &ccc, cc ); |
---|
568 | mpz_divmod( ", &rem, &ccc, &thempi ); |
---|
569 | mpz_clear( &ccc ); |
---|
570 | if ( signmpi < 0 ) |
---|
571 | mpz_neg( &thempi, &thempi ); |
---|
572 | if ( signmpi < 0 && signc < 0 ) { |
---|
573 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
---|
574 | mpz_add_ui( ", ", 1 ); |
---|
575 | } |
---|
576 | else if ( signmpi < 0 ) |
---|
577 | mpz_neg( ", " ); |
---|
578 | else if ( signc < 0 ) { |
---|
579 | mpz_neg( ", " ); |
---|
580 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
---|
581 | mpz_sub_ui( ", ", 1 ); |
---|
582 | } |
---|
583 | } |
---|
584 | else { |
---|
585 | mpz_divmod_ui( ", &rem, &thempi, cc ); |
---|
586 | if ( signmpi < 0 ) |
---|
587 | mpz_neg( &thempi, &thempi ); |
---|
588 | if ( signmpi < 0 && signc < 0 ) { |
---|
589 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
---|
590 | mpz_add_ui( ", ", 1 ); |
---|
591 | } |
---|
592 | else if ( signc < 0 ) |
---|
593 | mpz_neg( ", " ); |
---|
594 | else if ( signmpi < 0 ) { |
---|
595 | mpz_neg( ", " ); |
---|
596 | if ( mpz_cmp_si( &rem, 0 ) != 0 ) |
---|
597 | mpz_sub_ui( ", ", 1 ); |
---|
598 | } |
---|
599 | } |
---|
600 | mpz_clear( &rem ); |
---|
601 | if ( deleteObject() ) delete this; |
---|
602 | if ( mpz_is_imm( " ) ) { |
---|
603 | InternalCF * res = int2imm( mpz_get_si( " ) ); |
---|
604 | mpz_clear( " ); |
---|
605 | return res; |
---|
606 | } |
---|
607 | else |
---|
608 | return new InternalInteger( quot ); |
---|
609 | } |
---|
610 | |
---|
611 | InternalCF* InternalInteger::modulocoeff( InternalCF * c, bool invert ) |
---|
612 | { |
---|
613 | return modcoeff( c, invert ); |
---|
614 | } |
---|
615 | |
---|
616 | InternalCF* InternalInteger::modcoeff( InternalCF* c, bool invert ) |
---|
617 | { |
---|
618 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
619 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
---|
620 | // in rational mode remainder is zero |
---|
621 | if ( deleteObject() ) delete this; |
---|
622 | return CFFactory::basic( 0 ); |
---|
623 | } |
---|
624 | int cc = imm2int( c ); |
---|
625 | MP_INT rem; |
---|
626 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
---|
627 | int signc = cc; |
---|
628 | mpz_init( &rem ); |
---|
629 | if ( signmpi < 0 ) |
---|
630 | mpz_neg( &thempi, &thempi ); |
---|
631 | if ( signc < 0 ) |
---|
632 | cc = -cc; |
---|
633 | if ( invert ) { |
---|
634 | MP_INT ccc; |
---|
635 | mpz_init_set_si( &ccc, cc ); |
---|
636 | mpz_mod( &rem, &ccc, &thempi ); |
---|
637 | mpz_clear( &ccc ); |
---|
638 | if ( signc < 0 && mpz_cmp_si( &rem, 0 ) != 0 ) { |
---|
639 | mpz_sub( &rem, &thempi, &rem ); |
---|
640 | } |
---|
641 | if ( signmpi < 0 ) |
---|
642 | mpz_neg( &thempi, &thempi ); |
---|
643 | } |
---|
644 | else { |
---|
645 | mpz_mod_ui( &rem, &thempi, cc ); |
---|
646 | if ( signmpi < 0 && mpz_cmp_si( &rem, 0 ) != 0 ) { |
---|
647 | mpz_neg( &rem, &rem ); |
---|
648 | mpz_add_ui( &rem, &rem, cc ); |
---|
649 | } |
---|
650 | if ( signmpi < 0 ) |
---|
651 | mpz_neg( &thempi, &thempi ); |
---|
652 | } |
---|
653 | if ( deleteObject() ) delete this; |
---|
654 | if ( mpz_is_imm( &rem ) ) { |
---|
655 | InternalCF * res = int2imm( mpz_get_si( &rem ) ); |
---|
656 | mpz_clear( &rem ); |
---|
657 | return res; |
---|
658 | } |
---|
659 | else |
---|
660 | return new InternalInteger( rem ); |
---|
661 | } |
---|
662 | |
---|
663 | void InternalInteger::divremcoeff( InternalCF* c, InternalCF*& quot, InternalCF*& rem, bool invert ) |
---|
664 | { |
---|
665 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
666 | |
---|
667 | if ( cf_glob_switches.isOn( SW_RATIONAL ) ) { |
---|
668 | quot = copyObject(); |
---|
669 | quot = quot->dividecoeff( c, invert ); |
---|
670 | rem = CFFactory::basic( 0 ); |
---|
671 | return; |
---|
672 | } |
---|
673 | quot = copyObject(); |
---|
674 | quot = quot->divcoeff( c, invert ); |
---|
675 | rem = copyObject(); |
---|
676 | rem = rem->modcoeff( c, invert ); |
---|
677 | return; |
---|
678 | int cc = imm2int( c ); |
---|
679 | MP_INT q, r; |
---|
680 | int signmpi = mpz_cmp_si( &thempi, 0 ); |
---|
681 | int signc = cc; |
---|
682 | |
---|
683 | mpz_init( &q ); mpz_init( &r ); |
---|
684 | if ( signmpi < 0 ) |
---|
685 | mpz_neg( &thempi, &thempi ); |
---|
686 | if ( signc < 0 ) |
---|
687 | cc = -cc; |
---|
688 | if ( invert ) { |
---|
689 | MP_INT ccc; |
---|
690 | mpz_init_set_si( &ccc, cc ); |
---|
691 | mpz_divmod( &q, &r, &ccc, &thempi ); |
---|
692 | mpz_clear( &ccc ); |
---|
693 | if ( signc < 0 && signmpi < 0 ) { |
---|
694 | if ( mpz_cmp_si( &r, 0 ) != 0 ) { |
---|
695 | mpz_add_ui( &q, &q, 1 ); |
---|
696 | mpz_sub( &r, &thempi, &r ); |
---|
697 | } |
---|
698 | } |
---|
699 | else if ( signc < 0 ) { |
---|
700 | if ( mpz_cmp_si( &r, 0 ) != 0 ) { |
---|
701 | mpz_add_ui( &q, &q, 1 ); |
---|
702 | mpz_neg( &q, &q ); |
---|
703 | mpz_sub( &r, &thempi, &r ); |
---|
704 | } |
---|
705 | } |
---|
706 | else if ( signmpi < 0 ) |
---|
707 | mpz_neg( &q, &q ); |
---|
708 | } |
---|
709 | else { |
---|
710 | mpz_divmod_ui( &q, &r, &thempi, cc ); |
---|
711 | if ( signmpi < 0 && signc < 0 ) { |
---|
712 | if ( mpz_cmp_si( &r, 0 ) != 0 ) { |
---|
713 | mpz_add_ui( &q, &q, 1 ); |
---|
714 | mpz_neg( &r, &r ); |
---|
715 | mpz_add_ui( &r, &r, cc ); |
---|
716 | } |
---|
717 | } |
---|
718 | else if ( signmpi < 0 ) { |
---|
719 | if ( mpz_cmp_si( &r, 0 ) != 0 ) { |
---|
720 | mpz_add_ui( &q, &q, 1 ); |
---|
721 | mpz_neg( &q, &q ); |
---|
722 | mpz_neg( &r, &r ); |
---|
723 | mpz_add_ui( &r, &r, cc ); |
---|
724 | } |
---|
725 | } |
---|
726 | else if ( signc < 0 ) |
---|
727 | mpz_neg( &q, &q ); |
---|
728 | } |
---|
729 | if ( signmpi < 0 ) |
---|
730 | mpz_neg( &thempi, &thempi ); |
---|
731 | if ( mpz_is_imm( &r ) ) { |
---|
732 | rem = int2imm( mpz_get_si( &r ) ); |
---|
733 | mpz_clear( &r ); |
---|
734 | } |
---|
735 | else |
---|
736 | rem = new InternalInteger( r ); |
---|
737 | if ( mpz_is_imm( &q ) ) { |
---|
738 | quot = int2imm( mpz_get_si( &q ) ); |
---|
739 | mpz_clear( &q ); |
---|
740 | } |
---|
741 | else |
---|
742 | quot = new InternalInteger( q ); |
---|
743 | } |
---|
744 | |
---|
745 | bool InternalInteger::divremcoefft( InternalCF* c, InternalCF*& quot, InternalCF*& rem, bool invert ) |
---|
746 | { |
---|
747 | ASSERT( ::is_imm( c ) == INTMARK, "incompatible base coefficients" ); |
---|
748 | divremcoeff( c, quot, rem, invert ); |
---|
749 | return true; |
---|
750 | } |
---|
751 | |
---|
752 | int InternalInteger::intval() const |
---|
753 | { |
---|
754 | return (int)mpz_get_si( &thempi ); |
---|
755 | } |
---|
756 | |
---|
757 | int InternalInteger::intmod( int p ) const |
---|
758 | { |
---|
759 | return (int)mpz_mmod_ui( 0, &thempi, (unsigned long)p ); |
---|
760 | } |
---|
761 | |
---|
762 | int InternalInteger::sign ( ) const |
---|
763 | { |
---|
764 | return mpz_cmp_si( &thempi, 0 ); |
---|
765 | } |
---|
766 | |
---|
767 | InternalCF* |
---|
768 | InternalInteger::sqrt() |
---|
769 | { |
---|
770 | ASSERT( mpz_cmp_si( &thempi, 0 ) >= 0, "illegal instruction" ); |
---|
771 | MP_INT result; |
---|
772 | mpz_init( &result ); |
---|
773 | mpz_sqrt( &result, &thempi ); |
---|
774 | if ( mpz_is_imm( &result ) ) { |
---|
775 | InternalCF * res = int2imm( mpz_get_si( &result ) ); |
---|
776 | mpz_clear( &result ); |
---|
777 | return res; |
---|
778 | } |
---|
779 | else |
---|
780 | return new InternalInteger( result ); |
---|
781 | } |
---|
782 | |
---|
783 | |
---|