1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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2 | |
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3 | //{{{ docu |
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4 | // |
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5 | // cf_inline.cc - definition of configurable inline |
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6 | // `CanonicalForm' methods. |
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7 | // |
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8 | // Hierarchy: canonicalform |
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9 | // |
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10 | // Header file: canonicalform.h |
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11 | // |
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12 | // Developers note: |
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13 | // ---------------- |
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14 | // The central class in Factory is, of course, `CanonicalForm'. |
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15 | // Hence it is a quiet reasonable to assume that inlining its |
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16 | // most important methods will improve execution speed. The same |
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17 | // holds for some methods of the `CFIterator' class. Everything |
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18 | // on configurable inline `CanonicalForm' methods explained here |
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19 | // applies mutatis mutandis to the `CFIterator' methods. |
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20 | // |
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21 | // However, inlining `CanonicalForm' methods has two major |
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22 | // drawbacks: |
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23 | // |
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24 | // o If `CanonicalForm' methods simply would have been declared |
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25 | // `inline' it would have been necessary to include the |
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26 | // definition of `InternalCF' in `factory.h'. This would have |
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27 | // been quite a contradiction to the internal nature of the |
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28 | // class. |
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29 | // Hence it seemed desirable to introduce a mechanism to have |
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30 | // both the inlined versions for internal use and compiled |
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31 | // versions for the library. |
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32 | // |
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33 | // o Second, inlining in most cases leads to larger object code. |
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34 | // E.g., inlining `CanonicalForm::~CanonicalForm()' increases the |
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35 | // object code by approx. 15% without any effect on computation |
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36 | // speed. |
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37 | // Thus another design aim was to keep things configurable. |
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38 | // That is why the methods defined here are called |
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39 | // "configurable inline methods". |
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40 | // |
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41 | // The low level solution to both problems is the macro |
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42 | // `CF_INLINE' which either expands to `inline' or nothing. The |
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43 | // counterpart `CF_NO_INLINE' exists only for convenience, it |
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44 | // always expands to nothing. `CF_INLINE' is set immediately |
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45 | // before defining resp. declaring the methods to exclude any |
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46 | // esoteric influences from included files. |
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47 | // |
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48 | // The high level interface is the macro `CF_USE_INLINE'. If it |
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49 | // is defined any header file that uses configurable inline |
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50 | // methods defines them to be `inline', otherwise they are |
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51 | // defined as ordinary methods. `CF_USE_INLINE' is defined in |
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52 | // `config.h' only. |
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53 | // |
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54 | // To switch on (off) all configurable inline methods, it is |
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55 | // sufficient to define (undefine) `CF_USE_INLINE' in `config.h'. |
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56 | // To switch off separate configurable inline methods it is |
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57 | // necessary to prefix their declaration in `canonicalform.h' by |
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58 | // `CF_NO_INLINE' instead of `CF_INLINE'. Furthermore, to avoid |
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59 | // duplicate symbols at link time, their definition in this file |
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60 | // has to be wrapped by an `#ifndef INCL_CF_INLINE_CC'. |
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61 | // |
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62 | // It turned out that inlining the following methods (and only |
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63 | // them) results in the best time to size ratio on Linux and HP |
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64 | // machines: |
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65 | // o all `CanonicalForm' constructors |
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66 | // o the binary `CanonicalForm' operators `+' and `*' |
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67 | // |
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68 | //}}} |
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69 | |
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70 | // check whether we are included or translated and |
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71 | // define `INCL_CF_INLINE_CC' if we are included |
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72 | #ifdef INCL_CANONICALFORM_H |
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73 | #define INCL_CF_INLINE_CC |
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74 | #endif |
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75 | |
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76 | #include "config.h" |
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77 | |
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78 | #include "cf_assert.h" |
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79 | |
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80 | // temporarily switch off `CF_USE_INLINE' and include |
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81 | // `canonicalform.h' if we are being translated. |
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82 | // `CF_USE_INLINE_SAVE' is used to save the state of |
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83 | // `CF_USE_INLINE'. It is unset after use. |
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84 | #ifndef INCL_CF_INLINE_CC |
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85 | #ifdef CF_USE_INLINE |
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86 | #define CF_USE_INLINE_SAVE |
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87 | #undef CF_USE_INLINE |
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88 | #endif |
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89 | #include "canonicalform.h" |
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90 | #ifdef CF_USE_INLINE_SAVE |
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91 | #define CF_USE_INLINE |
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92 | #undef CF_USE_INLINE_SAVE |
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93 | #endif |
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94 | #endif /* ! INCL_CF_INLINE_CC */ |
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95 | |
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96 | // regular include files |
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97 | #include "int_cf.h" |
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98 | #include "imm.h" |
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99 | #include "cf_factory.h" |
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100 | |
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101 | // set the value of `CF_INLINE' for the following methods and |
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102 | // functions |
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103 | #if defined( CF_USE_INLINE ) && defined( INCL_CF_INLINE_CC ) |
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104 | #undef CF_INLINE |
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105 | #define CF_INLINE inline |
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106 | #else |
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107 | #undef CF_INLINE |
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108 | #define CF_INLINE |
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109 | #endif /* ! defined( CF_USE_INLINE ) && defined( INCL_CF_INLINE_CC ) */ |
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110 | |
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111 | // constructors, destructors, assignment |
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112 | //{{{ CF_INLINE CanonicalForm::CanonicalForm () |
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113 | //{{{ docu |
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114 | // |
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115 | // CanonicalForm() - create the default canonical form. |
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116 | // |
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117 | // The canonical form is initialized to zero from the current |
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118 | // domain. |
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119 | // |
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120 | //}}} |
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121 | CF_INLINE |
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122 | CanonicalForm::CanonicalForm () |
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123 | : value( CFFactory::basic( (int)0 ) ) |
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124 | { |
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125 | } |
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126 | //}}} |
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127 | |
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128 | //{{{ CF_INLINE CanonicalForm::CanonicalForm ( const int i ) |
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129 | //{{{ docu |
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130 | // |
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131 | // CanonicalForm() - create a canonical form from an integer. |
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132 | // |
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133 | // The canonical form is initialized to the "canonical image" of |
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134 | // `i' in the current domain. This is `i' itself for |
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135 | // characteristic zero, `i' mod p for finite fields of |
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136 | // characteristic p, and `i' mod p^n for prime power domains with |
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137 | // p^n elements. |
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138 | // |
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139 | //}}} |
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140 | CF_INLINE |
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141 | CanonicalForm::CanonicalForm ( const int i ) |
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142 | : value( CFFactory::basic( i ) ) |
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143 | { |
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144 | } |
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145 | //}}} |
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146 | |
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147 | //{{{ CF_INLINE CanonicalForm::CanonicalForm ( const CanonicalForm & cf ) |
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148 | //{{{ docu |
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149 | // |
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150 | // CanonicalForm() - create a copy of a canonical form. |
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151 | // |
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152 | // Type info: |
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153 | // ---------- |
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154 | // cf: Anything |
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155 | // |
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156 | //}}} |
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157 | CF_INLINE |
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158 | CanonicalForm::CanonicalForm ( const CanonicalForm & cf ) |
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159 | : value( is_imm( cf.value ) ? cf.value : cf.value->copyObject() ) |
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160 | { |
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161 | } |
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162 | //}}} |
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163 | |
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164 | //{{{ CF_INLINE CanonicalForm::CanonicalForm ( InternalCF * cf ) |
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165 | //{{{ docu |
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166 | // |
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167 | // CanonicalForm() - create a canonical form from a pointer to an |
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168 | // internal canonical form. |
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169 | // |
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170 | // This constructor is reserved for internal usage. |
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171 | // |
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172 | // Developers note: |
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173 | // ---------------- |
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174 | // The canonical form gets its value immediately from `cf'. |
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175 | // `cf's reference counter is not incremented, so be careful with |
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176 | // this constructor. |
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177 | // |
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178 | //}}} |
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179 | CF_INLINE |
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180 | CanonicalForm::CanonicalForm ( InternalCF * cf ) |
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181 | : value( cf ) |
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182 | { |
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183 | } |
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184 | //}}} |
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185 | |
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186 | //{{{ CF_INLINE CanonicalForm::CanonicalForm ( const Variable & v ) |
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187 | //{{{ docu |
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188 | // |
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189 | // CanonicalForm() - create a canonical form from a variable. |
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190 | // |
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191 | // If `v' is a polynomial variable or an algebraic element the |
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192 | // resulting polynomial (or algebraic element) is 1*`v'^1, the |
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193 | // one being from the current domain. |
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194 | // |
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195 | // Variables of level `LEVELBASE' are transformed to one from the |
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196 | // current domain. |
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197 | // |
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198 | // Type info: |
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199 | // ---------- |
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200 | // v: Anything |
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201 | // |
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202 | //}}} |
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203 | CF_INLINE |
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204 | CanonicalForm::CanonicalForm ( const Variable & v ) |
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205 | : value( CFFactory::poly( v ) ) |
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206 | { |
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207 | } |
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208 | //}}} |
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209 | |
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210 | //{{{ CF_INLINE CanonicalForm::CanonicalForm ( const Variable & v, int e ) |
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211 | //{{{ docu |
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212 | // |
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213 | // CanonicalForm() - create a canonical form from a power of a |
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214 | // variable. |
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215 | // |
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216 | // If `v' is a polynomial variable or an algebraic element the |
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217 | // resulting polynomial (or algebraic element) is 1*`v'^`e', the |
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218 | // one being from the current domain. Algebraic elements are |
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219 | // reduced modulo their minimal polynomial. |
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220 | // |
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221 | // Variables of level `LEVELBASE' are transformed to one from the |
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222 | // current domain. |
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223 | // |
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224 | // Type info: |
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225 | // ---------- |
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226 | // v: Anything |
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227 | // |
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228 | //}}} |
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229 | CF_INLINE |
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230 | CanonicalForm::CanonicalForm ( const Variable & v, int e ) |
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231 | : value( CFFactory::poly( v, e ) ) |
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232 | { |
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233 | //ASSERT( e > 0, "math error: exponent has to be positive" ); |
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234 | } |
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235 | //}}} |
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236 | |
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237 | #ifndef INCL_CF_INLINE_CC |
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238 | //{{{ CF_INLINE CanonicalForm::~CanonicalForm () |
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239 | //{{{ docu |
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240 | // |
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241 | // ~CanonicalForm() - delete CO. |
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242 | // |
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243 | // Type info: |
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244 | // ---------- |
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245 | // CO: Anything |
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246 | // |
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247 | //}}} |
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248 | CF_INLINE |
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249 | CanonicalForm::~CanonicalForm () |
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250 | { |
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251 | if ( (! is_imm( value )) && value->deleteObject() ) |
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252 | delete value; |
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253 | } |
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254 | //}}} |
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255 | #endif |
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256 | |
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257 | #ifndef INCL_CF_INLINE_CC |
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258 | //{{{ CF_INLINE CanonicalForm & CanonicalForm::operator = ( const CanonicalForm & cf ) |
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259 | //{{{ docu |
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260 | // |
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261 | // operator =() - assign `cf' to CO. |
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262 | // |
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263 | // Type info: |
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264 | // ---------- |
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265 | // CO, cf: Anything |
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266 | // |
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267 | //}}} |
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268 | CF_INLINE CanonicalForm & |
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269 | CanonicalForm::operator = ( const CanonicalForm & cf ) |
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270 | { |
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271 | if ( this != &cf ) { |
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272 | if ( (! is_imm( value )) && value->deleteObject() ) |
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273 | delete value; |
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274 | value = (is_imm( cf.value )) ? cf.value : cf.value->copyObject(); |
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275 | } |
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276 | return *this; |
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277 | } |
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278 | //}}} |
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279 | |
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280 | //{{{ CF_INLINE CanonicalForm & CanonicalForm::operator = ( const int cf ) |
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281 | //{{{ docu |
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282 | // |
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283 | // operator =() - assign integer `cf' to CO. |
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284 | // |
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285 | // `cf' converted to a canonical form as described in the |
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286 | // canonical form constructor which creates a canonical form from |
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287 | // an integer. |
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288 | // |
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289 | // Type info: |
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290 | // ---------- |
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291 | // CO: Anything |
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292 | // |
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293 | // Developers note: |
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294 | // ---------------- |
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295 | // Strictly speaking, this operator is superfluous. The ordinary |
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296 | // assignment operator together with automatic conversion from |
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297 | // `int' to `CanonicalForm' would do the job, too. But this way |
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298 | // the common operation of assigning an integer is faster. |
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299 | // |
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300 | //}}} |
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301 | CF_INLINE CanonicalForm & |
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302 | CanonicalForm::operator = ( const int cf ) |
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303 | { |
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304 | if ( (! is_imm( value )) && value->deleteObject() ) |
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305 | delete value; |
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306 | value = CFFactory::basic( cf ); |
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307 | return *this; |
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308 | } |
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309 | //}}} |
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310 | #endif |
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311 | |
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312 | // predicates |
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313 | #ifndef INCL_CF_INLINE_CC |
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314 | //{{{ CF_INLINE bool CanonicalForm::isOne, isZero () const |
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315 | //{{{ docu |
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316 | // |
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317 | // isOne(), isZero() - test whether a `CanonicalForm' equals one |
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318 | // or zero, resp. |
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319 | // |
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320 | // The predicates `isOne()' and `isZero()' are much faster than |
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321 | // the comparison operators. Furthermore, a test `f.isZero()' is |
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322 | // independent from the current domain, whereas an expression |
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323 | // `f == 0' is not. |
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324 | // |
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325 | // Type info: |
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326 | // ---------- |
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327 | // CO: Anything |
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328 | // |
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329 | // Internal implementation: |
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330 | // ------------------------ |
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331 | // Note that only immediate objects and objects of class |
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332 | // `InternalPrimePower' may equal one or zero, resp. |
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333 | // |
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334 | // imm_isone(), imm_iszero() |
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335 | // Trivial. |
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336 | // |
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337 | // imm_isone_p(), imm_iszero_p() |
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338 | // Trivial. |
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339 | // |
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340 | // imm_isone_gf(), imm_iszero_gf() |
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341 | // Use `gf_isone()' and `gf_iszero()', resp., to test whether CO |
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342 | // equals zero or one, resp. |
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343 | // |
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344 | // InternalCF::isOne(), isZero() |
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345 | // Always return false. |
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346 | // |
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347 | // InternalPrimePower::isOne(), isZero() |
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348 | // Use `mpz_cpm_ui()' resp. `mpz_sgn()' to check the underlying |
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349 | // mpi. |
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350 | // |
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351 | //}}} |
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352 | CF_INLINE bool |
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353 | CanonicalForm::isOne () const |
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354 | { |
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355 | int what = is_imm( value ); |
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356 | |
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357 | if ( ! what ) |
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358 | return value->isOne(); |
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359 | else if ( what == INTMARK ) |
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360 | return imm_isone( value ); |
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361 | else if ( what == FFMARK ) |
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362 | return imm_isone_p( value ); |
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363 | else |
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364 | return imm_isone_gf( value ); |
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365 | } |
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366 | |
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367 | CF_INLINE bool |
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368 | CanonicalForm::isZero () const |
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369 | { |
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370 | int what = is_imm( value ); |
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371 | |
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372 | if ( what == 0 ) |
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373 | return value->isZero(); |
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374 | else if ( what == INTMARK ) |
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375 | return imm_iszero( value ); |
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376 | else if ( what == FFMARK ) |
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377 | return imm_iszero_p( value ); |
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378 | else |
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379 | return imm_iszero_gf( value ); |
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380 | } |
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381 | //}}} |
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382 | #endif |
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383 | |
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384 | // arithmetic operators |
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385 | #ifndef INCL_CF_INLINE_CC |
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386 | //{{{ CF_INLINE CanonicalForm operator - ( const CanonicalForm & cf ) |
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387 | //{{{ docu |
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388 | // |
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389 | // operator -() - return additive inverse of `cf'. |
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390 | // |
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391 | // Returns the additive inverse of `cf'. One should keep in mind |
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392 | // that to negate a canonical form a complete (deep) copy of it |
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393 | // has to be created. |
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394 | // |
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395 | // Type info: |
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396 | // ---------- |
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397 | // cf: CurrentPP |
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398 | // |
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399 | // In fact, the type is almost `Anything', but it is, e.g., not |
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400 | // possible to invert an element from a finite field when the |
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401 | // characteristic of the current domain has changed. |
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402 | // |
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403 | // Internal implementation: |
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404 | // ------------------------ |
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405 | // All internal methods check whether the reference counter |
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406 | // equals one. If so CO is negated in-place. Otherwise, a new |
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407 | // copy of CO is created and negated. |
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408 | // |
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409 | // imm_neg() |
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410 | // Trivial. |
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411 | // |
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412 | // imm_neg_p() |
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413 | // Use `ff_neg()' to negate CO. |
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414 | // |
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415 | // imm_neg_gf() |
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416 | // Use `gf_neg()' to negate CO. |
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417 | // |
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418 | // InternalInteger::neg() |
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419 | // Use `mpz_neg()' to negate the underlying mpi. |
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420 | // |
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421 | // InternalRational::neg () |
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422 | // Use `mpz_neg()' to negate the denominator. |
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423 | // |
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424 | // InternalPrimePower::neg() |
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425 | // Subtract CO from `primepow' using `mpz_sub'. |
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426 | // |
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427 | // InternalPoly::neg() |
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428 | // If reference counter is one use `negateTermList()' to negate |
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429 | // the terms, otherwise create a negated copy using |
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430 | // `copyTermList()'. |
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431 | // |
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432 | //}}} |
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433 | CF_INLINE CanonicalForm |
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434 | operator - ( const CanonicalForm & cf ) |
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435 | { |
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436 | CanonicalForm result( cf ); |
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437 | int what = is_imm( result.value ); |
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438 | |
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439 | if ( ! what ) |
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440 | result.value = result.value->neg(); |
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441 | else if ( what == INTMARK ) |
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442 | result.value = imm_neg( result.value ); |
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443 | else if ( what == FFMARK ) |
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444 | result.value = imm_neg_p( result.value ); |
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445 | else |
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446 | result.value = imm_neg_gf( result.value ); |
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447 | |
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448 | return result; |
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449 | } |
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450 | //}}} |
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451 | #endif |
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452 | |
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453 | // binary arithmetic operators and functions |
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454 | //{{{ CF_INLINE CanonicalForm operator +, -, *, /, % ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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455 | //{{{ docu |
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456 | // |
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457 | // operators +, -, *, /, %(), div(), mod() - binary arithmetic |
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458 | // operators. |
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459 | // |
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460 | // The binary operators have their standard (mathematical) |
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461 | // semantics. As explained for the corresponding arithmetic |
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462 | // assignment operators, the operators `/' and `%' return the |
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463 | // quotient resp. remainder of (polynomial) division with |
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464 | // remainder, whereas `div()' and `mod()' may be used for exact |
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465 | // division and term-wise remaindering, resp. |
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466 | // |
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467 | // It is faster to use the arithmetic assignment operators (e.g., |
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468 | // `f += g;') instead of the binary operators (`f = f+g;' ). |
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469 | // |
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470 | // Type info: |
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471 | // ---------- |
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472 | // lhs, rhs: CurrentPP |
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473 | // |
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474 | // There are weaker preconditions for some cases (e.g., |
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475 | // arithmetic operations with elements from Q or Z work in any |
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476 | // domain), but type `CurrentPP' is the only one guaranteed to |
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477 | // work for all cases. |
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478 | // |
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479 | // Developers note: |
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480 | // ---------------- |
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481 | // All binary operators have their corresponding `CanonicalForm' |
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482 | // assignment operators (e.g., `operator +()' corresponds to |
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483 | // `CanonicalForm::operator +=()', `div()' corresponds to |
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484 | // `CanonicalForm::div()). |
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485 | // |
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486 | // And that is how they are implemented, too: Each of the binary |
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487 | // operators first creates a copy of `lhs', adds `rhs' to this |
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488 | // copy using the assignment operator, and returns the result. |
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489 | // |
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490 | //}}} |
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491 | CF_INLINE CanonicalForm |
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492 | operator + ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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493 | { |
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494 | CanonicalForm result( lhs ); |
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495 | result += rhs; |
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496 | return result; |
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497 | } |
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498 | |
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499 | #ifndef INCL_CF_INLINE_CC |
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500 | CF_INLINE CanonicalForm |
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501 | operator - ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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502 | { |
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503 | CanonicalForm result( lhs ); |
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504 | result -= rhs; |
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505 | return result; |
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506 | } |
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507 | #endif |
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508 | |
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509 | CF_INLINE CanonicalForm |
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510 | operator * ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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511 | { |
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512 | CanonicalForm result( lhs ); |
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513 | result *= rhs; |
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514 | return result; |
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515 | } |
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516 | |
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517 | #ifndef INCL_CF_INLINE_CC |
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518 | CF_INLINE CanonicalForm |
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519 | operator / ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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520 | { |
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521 | CanonicalForm result( lhs ); |
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522 | result /= rhs; |
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523 | return result; |
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524 | } |
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525 | |
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526 | CF_INLINE CanonicalForm |
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527 | operator % ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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528 | { |
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529 | CanonicalForm result( lhs ); |
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530 | result %= rhs; |
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531 | return result; |
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532 | } |
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533 | #endif |
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534 | //}}} |
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535 | |
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536 | #ifndef INCL_CF_INLINE_CC |
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537 | //{{{ CF_INLINE CanonicalForm div, mod ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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538 | // docu: see binary operators above |
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539 | CF_INLINE CanonicalForm |
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540 | div ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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541 | { |
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542 | CanonicalForm result( lhs ); |
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543 | result.div( rhs ); |
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544 | return result; |
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545 | } |
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546 | |
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547 | CF_INLINE CanonicalForm |
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548 | mod ( const CanonicalForm & lhs, const CanonicalForm & rhs ) |
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549 | { |
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550 | CanonicalForm result( lhs ); |
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551 | result.mod( rhs ); |
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552 | return result; |
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553 | } |
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554 | //}}} |
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555 | #endif |
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