1 | /* winnt/factory.h automatically generated by makeheader from factory.template */ |
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2 | /* emacs edit mode for this file is -*- C++ -*- */ |
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3 | /* $Id: factory.h,v 1.7 2008-12-08 08:59:27 Singular Exp $ */ |
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4 | |
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5 | #ifndef INCL_FACTORY_H |
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6 | #define INCL_FACTORY_H |
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7 | |
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8 | //{{{ docu |
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9 | // |
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10 | // factory.template - template to generate `factory.h'. |
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11 | // |
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12 | // `factory.h' is the user interface to Factory. Created |
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13 | // automatically by `makeheader', it collects all important |
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14 | // declarations from all important Factory header files into one |
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15 | // overall header file leaving out all boring Factory internal |
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16 | // stuff. See `./bin/makeheader' for an explanation of the syntax |
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17 | // of this file. |
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18 | // |
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19 | // Note: In this file the order of "includes" matters (since this |
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20 | // are not real includes)! In general, files at the end depend |
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21 | // on files at the beginning. |
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22 | // |
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23 | //}}} |
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24 | |
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25 | #include <factoryconf.h> |
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26 | |
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27 | #ifndef NOSTREAMIO |
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28 | #ifdef HAVE_IOSTREAM |
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29 | #include <iostream> |
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30 | #define OSTREAM std::ostream |
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31 | #define ISTREAM std::istream |
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32 | #elif defined(HAVE_IOSTREAM_H) |
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33 | #include <iostream.h> |
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34 | #define OSTREAM ostream |
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35 | #define ISTREAM istream |
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36 | #endif |
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37 | #endif /* ! NOSTREAMIO */ |
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38 | |
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39 | #ifdef SINGULAR |
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40 | #include "cf_gmp.h" |
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41 | #else |
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42 | #include <gmp.h> |
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43 | #endif /* SINGULAR */ |
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44 | |
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45 | #ifdef macintosh |
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46 | #include <:templates:ftmpl_array.h> |
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47 | #include <:templates:ftmpl_factor.h> |
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48 | #include <:templates:ftmpl_list.h> |
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49 | #include <:templates:ftmpl_matrix.h> |
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50 | #else |
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51 | #include <templates/ftmpl_array.h> |
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52 | #include <templates/ftmpl_factor.h> |
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53 | #include <templates/ftmpl_list.h> |
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54 | #include <templates/ftmpl_matrix.h> |
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55 | #endif |
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56 | |
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57 | /* stuff included from ./cf_globals.h */ |
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58 | |
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59 | |
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60 | extern const char factoryVersion[]; |
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61 | extern const char factoryConfiguration[]; |
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62 | |
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63 | |
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64 | /* stuff included from ./cf_primes.h */ |
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65 | |
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66 | |
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67 | int cf_getPrime( int i ); |
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68 | |
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69 | int cf_getNumPrimes(); |
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70 | |
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71 | int cf_getSmallPrime( int i ); |
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72 | |
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73 | int cf_getNumSmallPrimes(); |
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74 | |
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75 | int cf_getBigPrime( int i ); |
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76 | |
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77 | int cf_getNumBigPrimes(); |
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78 | |
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79 | |
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80 | /* stuff included from ./cf_defs.h */ |
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81 | |
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82 | |
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83 | #define LEVELBASE -1000000 |
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84 | #define LEVELTRANS -500000 |
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85 | #define LEVELQUOT 1000000 |
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86 | #define LEVELEXPR 1000001 |
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87 | |
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88 | #define UndefinedDomain 32000 |
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89 | #define PrimePowerDomain 5 |
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90 | #define GaloisFieldDomain 4 |
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91 | #define FiniteFieldDomain 3 |
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92 | #define RationalDomain 2 |
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93 | #define IntegerDomain 1 |
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94 | |
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95 | //{{{ constants |
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96 | //{{{ docu |
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97 | // |
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98 | // - factory switches. |
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99 | // |
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100 | //}}} |
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101 | const int SW_RATIONAL = 0; |
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102 | const int SW_QUOTIENT = 1; |
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103 | const int SW_SYMMETRIC_FF = 2; |
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104 | const int SW_BERLEKAMP = 3; |
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105 | const int SW_FAC_USE_BIG_PRIMES = 4; |
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106 | const int SW_FAC_QUADRATICLIFT = 5; |
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107 | const int SW_USE_EZGCD = 6; |
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108 | const int SW_USE_EZGCD_P = 7; |
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109 | const int SW_USE_SPARSEMOD = 8; |
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110 | const int SW_USE_NTL=9; |
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111 | const int SW_USE_NTL_GCD_0=10; |
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112 | const int SW_USE_NTL_GCD_P=11; |
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113 | const int SW_USE_NTL_SORT=12; |
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114 | const int SW_USE_CHINREM_GCD=13; |
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115 | const int SW_USE_GCD_P=14; |
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116 | const int SW_USE_QGCD=15; |
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117 | const int SW_USE_fieldGCD=16; |
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118 | //}}} |
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119 | |
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120 | |
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121 | /* stuff included from ./variable.h */ |
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122 | |
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123 | |
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124 | class CanonicalForm; |
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125 | |
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126 | class Variable |
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127 | { |
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128 | private: |
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129 | int _level; |
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130 | Variable( int l, bool flag ); |
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131 | public: |
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132 | Variable() : _level(LEVELBASE) {} |
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133 | Variable( int l ); |
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134 | Variable( char name ); |
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135 | Variable( int l, char name ); |
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136 | Variable( const Variable & v ) : _level(v._level) {} |
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137 | ~Variable() {}; |
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138 | Variable& operator= ( const Variable & v ) |
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139 | { |
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140 | _level = v._level; |
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141 | return *this; |
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142 | } |
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143 | int level() const { return _level; } |
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144 | char name() const; |
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145 | static Variable highest() { return Variable( LEVELQUOT-1 ); } |
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146 | Variable next() const { return Variable( _level+1 ); } |
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147 | friend bool operator == ( const Variable & lhs, const Variable & rhs ) |
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148 | { |
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149 | return lhs._level == rhs._level; |
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150 | } |
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151 | friend bool operator != ( const Variable & lhs, const Variable & rhs ) |
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152 | { |
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153 | return lhs._level != rhs._level; |
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154 | } |
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155 | friend bool operator > ( const Variable & lhs, const Variable & rhs ) |
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156 | { |
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157 | return lhs._level > rhs._level; |
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158 | } |
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159 | friend bool operator < ( const Variable & lhs, const Variable & rhs ) |
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160 | { |
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161 | return lhs._level < rhs._level; |
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162 | } |
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163 | friend bool operator >= ( const Variable & lhs, const Variable & rhs ) |
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164 | { |
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165 | return lhs._level >= rhs._level; |
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166 | } |
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167 | friend bool operator <= ( const Variable & lhs, const Variable & rhs ) |
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168 | { |
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169 | return lhs._level <= rhs._level; |
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170 | } |
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171 | #ifndef NOSTREAMIO |
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172 | friend OSTREAM & operator << ( OSTREAM & os, const Variable & v ); |
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173 | #endif /* NOSTREAMIO */ |
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174 | friend void swap_levels(); |
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175 | friend Variable rootOf( const CanonicalForm &, char name ); |
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176 | }; |
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177 | Variable rootOf( const CanonicalForm &, char name = '@' ); |
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178 | |
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179 | inline int level( const Variable & v ) { return v.level(); } |
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180 | inline char name( const Variable & v ) { return v.name(); } |
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181 | |
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182 | CanonicalForm getMipo( const Variable & alpha, const Variable & x ); |
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183 | bool hasMipo( const Variable & alpha ); |
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184 | |
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185 | char getDefaultVarName(); |
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186 | char getDefaultExtName(); |
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187 | |
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188 | int ExtensionLevel(); |
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189 | |
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190 | |
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191 | /* stuff included from ./canonicalform.h */ |
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192 | |
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193 | |
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194 | #undef CF_INLINE |
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195 | #define CF_INLINE |
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196 | #undef CF_NO_INLINE |
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197 | #define CF_NO_INLINE |
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198 | |
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199 | |
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200 | class InternalCF; |
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201 | |
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202 | inline int is_imm ( const InternalCF * const ptr ) |
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203 | { |
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204 | // returns 0 if ptr is not immediate |
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205 | return ( ((int)((long)ptr)) & 3 ); |
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206 | } |
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207 | |
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208 | |
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209 | int initCanonicalForm( void ); |
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210 | |
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211 | static int cf_is_initialized_now = initCanonicalForm(); |
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212 | |
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213 | //{{{ class CanonicalForm |
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214 | class CanonicalForm |
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215 | { |
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216 | private: |
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217 | InternalCF *value; |
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218 | public: |
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219 | // constructors, destructors, selectors |
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220 | CF_INLINE CanonicalForm(); |
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221 | CF_INLINE CanonicalForm( const CanonicalForm& ); |
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222 | CF_INLINE CanonicalForm( InternalCF* ); |
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223 | CF_INLINE CanonicalForm( const int ); |
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224 | CF_INLINE CanonicalForm( const Variable & ); |
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225 | CF_INLINE CanonicalForm( const Variable &, int ); |
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226 | CanonicalForm( const char *, const int base=10 ); // use with caution - does only handle integers !!! |
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227 | |
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228 | CF_NO_INLINE ~CanonicalForm(); |
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229 | |
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230 | InternalCF* getval() const; // use with caution !!! |
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231 | |
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232 | CanonicalForm deepCopy() const; |
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233 | |
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234 | // predicates |
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235 | CF_NO_INLINE bool isOne() const; |
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236 | CF_NO_INLINE bool isZero() const; |
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237 | inline bool isImm() const { return is_imm( value ); }; |
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238 | |
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239 | bool inZ() const; |
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240 | bool inQ() const; |
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241 | bool inFF() const; |
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242 | bool inGF() const; |
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243 | bool inPP() const; |
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244 | bool inBaseDomain() const; |
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245 | bool inExtension() const; |
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246 | bool inCoeffDomain() const; |
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247 | bool inPolyDomain() const; |
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248 | bool inQuotDomain() const; |
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249 | |
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250 | bool isFFinGF() const; |
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251 | bool isUnivariate() const; |
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252 | bool isHomogeneous() const; |
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253 | |
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254 | // conversion functions |
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255 | int intval() const; |
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256 | CanonicalForm mapinto () const; |
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257 | |
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258 | CanonicalForm lc () const; |
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259 | CanonicalForm Lc () const; |
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260 | CanonicalForm LC () const; |
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261 | CanonicalForm LC ( const Variable & v ) const; |
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262 | |
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263 | int degree () const; |
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264 | int degree ( const Variable & v ) const; |
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265 | |
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266 | CanonicalForm tailcoeff () const; |
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267 | int taildegree () const; |
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268 | |
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269 | int level () const; |
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270 | Variable mvar () const; |
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271 | |
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272 | CanonicalForm num () const; |
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273 | CanonicalForm den () const; |
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274 | |
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275 | // assignment operators |
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276 | CF_NO_INLINE CanonicalForm& operator = ( const CanonicalForm& ); |
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277 | CF_NO_INLINE CanonicalForm& operator = ( const int ); |
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278 | |
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279 | CanonicalForm& operator += ( const CanonicalForm& ); |
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280 | CanonicalForm& operator -= ( const CanonicalForm& ); |
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281 | CanonicalForm& operator *= ( const CanonicalForm& ); |
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282 | CanonicalForm& operator /= ( const CanonicalForm& ); |
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283 | CanonicalForm& operator %= ( const CanonicalForm& ); |
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284 | CanonicalForm& div ( const CanonicalForm& ); |
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285 | CanonicalForm& mod ( const CanonicalForm& ); |
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286 | |
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287 | // evaluation operators |
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288 | CanonicalForm operator () ( const CanonicalForm & f ) const; |
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289 | CanonicalForm operator () ( const CanonicalForm & f, const Variable & v ) const; |
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290 | |
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291 | CanonicalForm operator [] ( int i ) const; |
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292 | |
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293 | CanonicalForm deriv() const; |
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294 | CanonicalForm deriv( const Variable & x ) const; |
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295 | |
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296 | int sign() const; |
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297 | CanonicalForm sqrt() const; |
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298 | int ilog2() const; |
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299 | |
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300 | // comparison operators |
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301 | friend bool operator == ( const CanonicalForm&, const CanonicalForm& ); |
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302 | friend bool operator != ( const CanonicalForm&, const CanonicalForm& ); |
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303 | friend bool operator > ( const CanonicalForm&, const CanonicalForm& ); |
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304 | friend bool operator < ( const CanonicalForm&, const CanonicalForm& ); |
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305 | |
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306 | // arithmetic operators |
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307 | friend CF_NO_INLINE CanonicalForm operator - ( const CanonicalForm& ); |
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308 | |
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309 | friend void divrem ( const CanonicalForm&, const CanonicalForm&, CanonicalForm&, CanonicalForm& ); |
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310 | friend bool divremt ( const CanonicalForm&, const CanonicalForm&, CanonicalForm&, CanonicalForm& ); |
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311 | |
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312 | friend CanonicalForm bgcd ( const CanonicalForm &, const CanonicalForm & ); |
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313 | friend CanonicalForm bextgcd ( const CanonicalForm &, const CanonicalForm &, CanonicalForm &, CanonicalForm & ); |
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314 | |
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315 | // input/output |
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316 | #ifndef NOSTREAMIO |
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317 | void print( OSTREAM&, char * ) const; |
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318 | void print( OSTREAM& ) const; |
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319 | friend OSTREAM& operator << ( OSTREAM&, const CanonicalForm& ); |
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320 | friend ISTREAM& operator >> ( ISTREAM&, CanonicalForm& ); |
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321 | #endif /* NOSTREAMIO */ |
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322 | |
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323 | // obsolete methods |
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324 | static CanonicalForm genCoeff( int what, int i = 0 ); |
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325 | CanonicalForm genZero() const; |
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326 | CanonicalForm genOne() const; |
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327 | |
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328 | friend class CFIterator; |
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329 | }; |
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330 | //}}} |
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331 | |
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332 | CF_INLINE CanonicalForm |
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333 | operator + ( const CanonicalForm&, const CanonicalForm& ); |
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334 | |
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335 | CF_NO_INLINE CanonicalForm |
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336 | operator - ( const CanonicalForm&, const CanonicalForm& ); |
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337 | |
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338 | CF_INLINE CanonicalForm |
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339 | operator * ( const CanonicalForm&, const CanonicalForm& ); |
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340 | |
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341 | CF_NO_INLINE CanonicalForm |
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342 | operator / ( const CanonicalForm&, const CanonicalForm& ); |
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343 | |
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344 | CF_NO_INLINE CanonicalForm |
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345 | operator % ( const CanonicalForm&, const CanonicalForm& ); |
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346 | |
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347 | CF_NO_INLINE CanonicalForm |
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348 | div ( const CanonicalForm&, const CanonicalForm& ); |
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349 | |
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350 | CF_NO_INLINE CanonicalForm |
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351 | mod ( const CanonicalForm&, const CanonicalForm& ); |
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352 | |
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353 | |
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354 | //{{{ function declarations from canonicalform.cc |
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355 | CanonicalForm blcm ( const CanonicalForm & f, const CanonicalForm & g ); |
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356 | |
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357 | CanonicalForm power ( const CanonicalForm & f, int n ); |
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358 | |
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359 | CanonicalForm power ( const Variable & v, int n ); |
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360 | //}}} |
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361 | |
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362 | //{{{ function declarations from cf_gcd.cc |
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363 | CanonicalForm gcd ( const CanonicalForm&, const CanonicalForm& ); |
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364 | |
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365 | CanonicalForm gcd_poly ( const CanonicalForm & f, const CanonicalForm & g ); |
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366 | |
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367 | CanonicalForm extgcd ( const CanonicalForm&, const CanonicalForm&, CanonicalForm&, CanonicalForm& ); |
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368 | |
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369 | CanonicalForm lcm ( const CanonicalForm&, const CanonicalForm& ); |
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370 | |
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371 | CanonicalForm pp ( const CanonicalForm& ); |
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372 | |
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373 | CanonicalForm content ( const CanonicalForm& ); |
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374 | |
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375 | CanonicalForm content ( const CanonicalForm&, const Variable& ); |
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376 | |
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377 | CanonicalForm icontent ( const CanonicalForm & f ); |
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378 | |
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379 | CanonicalForm vcontent ( const CanonicalForm & f, const Variable & x ); |
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380 | //}}} |
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381 | |
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382 | //{{{ function declarations from cf_ops.cc |
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383 | CanonicalForm swapvar ( const CanonicalForm &, const Variable &, const Variable & ); |
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384 | |
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385 | CanonicalForm replacevar ( const CanonicalForm &, const Variable &, const Variable & ); |
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386 | |
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387 | int getNumVars( const CanonicalForm & f ); |
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388 | |
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389 | CanonicalForm getVars( const CanonicalForm & f ); |
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390 | |
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391 | CanonicalForm apply ( const CanonicalForm & f, void (*mf)( CanonicalForm &, int & ) ); |
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392 | |
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393 | CanonicalForm mapdomain ( const CanonicalForm & f, CanonicalForm (*mf)( const CanonicalForm & ) ); |
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394 | |
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395 | int * degrees ( const CanonicalForm & f, int * degs = 0 ); |
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396 | |
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397 | int totaldegree ( const CanonicalForm & f ); |
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398 | |
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399 | int totaldegree ( const CanonicalForm & f, const Variable & v1, const Variable & v2 ); |
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400 | |
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401 | int size ( const CanonicalForm & f, const Variable & v ); |
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402 | |
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403 | int size ( const CanonicalForm & f ); |
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404 | //}}} |
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405 | |
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406 | //{{{ inline functions corresponding to CanonicalForm methods |
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407 | //{{{ docu |
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408 | // |
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409 | // - inline functions corresponding to CanonicalForm methods. |
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410 | // |
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411 | // These function exist for convenience only and because it is |
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412 | // more beautiful to write 'degree( f )' than 'f.degree()'. |
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413 | // |
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414 | //}}} |
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415 | inline CanonicalForm |
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416 | lc ( const CanonicalForm & f ) { return f.lc(); } |
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417 | |
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418 | inline CanonicalForm |
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419 | Lc ( const CanonicalForm & f ) { return f.Lc(); } |
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420 | |
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421 | inline CanonicalForm |
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422 | LC ( const CanonicalForm & f ) { return f.LC(); } |
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423 | |
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424 | inline CanonicalForm |
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425 | LC ( const CanonicalForm & f, const Variable & v ) { return f.LC( v ); } |
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426 | |
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427 | inline int |
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428 | degree ( const CanonicalForm & f ) { return f.degree(); } |
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429 | |
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430 | inline int |
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431 | degree ( const CanonicalForm & f, const Variable & v ) { return f.degree( v ); } |
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432 | |
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433 | inline int |
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434 | taildegree ( const CanonicalForm & f ) { return f.taildegree(); } |
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435 | |
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436 | inline CanonicalForm |
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437 | tailcoeff ( const CanonicalForm & f ) { return f.tailcoeff(); } |
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438 | |
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439 | inline int |
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440 | level ( const CanonicalForm & f ) { return f.level(); } |
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441 | |
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442 | inline Variable |
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443 | mvar ( const CanonicalForm & f ) { return f.mvar(); } |
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444 | |
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445 | inline CanonicalForm |
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446 | num ( const CanonicalForm & f ) { return f.num(); } |
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447 | |
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448 | inline CanonicalForm |
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449 | den ( const CanonicalForm & f ) { return f.den(); } |
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450 | |
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451 | inline int |
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452 | sign ( const CanonicalForm & a ) { return a.sign(); } |
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453 | |
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454 | inline CanonicalForm |
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455 | deriv ( const CanonicalForm & f, const Variable & x ) { return f.deriv( x ); } |
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456 | |
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457 | inline CanonicalForm |
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458 | sqrt ( const CanonicalForm & a ) { return a.sqrt(); } |
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459 | |
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460 | inline int |
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461 | ilog2 ( const CanonicalForm & a ) { return a.ilog2(); } |
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462 | |
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463 | inline CanonicalForm |
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464 | mapinto ( const CanonicalForm & f ) { return f.mapinto(); } |
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465 | //}}} |
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466 | |
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467 | //{{{ inline functions |
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468 | inline CanonicalForm |
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469 | head ( const CanonicalForm & f ) |
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470 | { |
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471 | if ( f.level() > 0 ) |
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472 | return power( f.mvar(), f.degree() ) * f.LC(); |
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473 | else |
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474 | return f; |
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475 | } |
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476 | |
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477 | inline int |
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478 | headdegree ( const CanonicalForm & f ) { return totaldegree( head( f ) ); } |
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479 | |
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480 | |
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481 | //}}} |
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482 | |
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483 | //{{{ other function declarations |
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484 | void setCharacteristic( int c ); // -> Fp && Q |
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485 | void setCharacteristic( int c, int n ); // -> PrimePower |
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486 | void setCharacteristic( int c, int n, char name ); // -> GF(q) |
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487 | |
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488 | int getCharacteristic(); |
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489 | int getGFDegree(); |
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490 | CanonicalForm getGFGenerator(); |
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491 | |
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492 | void On( int ); |
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493 | void Off( int ); |
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494 | bool isOn( int ); |
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495 | //}}} |
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496 | |
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497 | //{{{ type definitions |
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498 | typedef Factor<CanonicalForm> CFFactor; |
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499 | typedef List<CFFactor> CFFList; |
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500 | typedef ListIterator<CFFactor> CFFListIterator; |
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501 | typedef List<CanonicalForm> CFList; |
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502 | typedef ListIterator<CanonicalForm> CFListIterator; |
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503 | typedef Array<CanonicalForm> CFArray; |
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504 | typedef Matrix<CanonicalForm> CFMatrix; |
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505 | //}}} |
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506 | |
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507 | |
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508 | /* stuff included from ./cf_binom.h */ |
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509 | |
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510 | |
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511 | CanonicalForm binomialpower ( const Variable&, const CanonicalForm&, int ); |
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512 | |
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513 | |
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514 | /* stuff included from ./cf_algorithm.h */ |
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515 | |
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516 | |
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517 | //{{{ function declarations from cf_algorithm.cc |
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518 | CanonicalForm psr ( const CanonicalForm & f, const CanonicalForm & g, const Variable & x ); |
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519 | |
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520 | CanonicalForm psq ( const CanonicalForm & f, const CanonicalForm & g, const Variable & x ); |
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521 | |
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522 | void psqr ( const CanonicalForm & f, const CanonicalForm & g, CanonicalForm & q, CanonicalForm & r, const Variable & x ); |
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523 | |
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524 | CanonicalForm bCommonDen ( const CanonicalForm & f ); |
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525 | |
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526 | bool fdivides ( const CanonicalForm & f, const CanonicalForm & g ); |
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527 | |
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528 | CanonicalForm maxNorm ( const CanonicalForm & f ); |
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529 | |
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530 | CanonicalForm euclideanNorm ( const CanonicalForm & f ); |
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531 | //}}} |
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532 | |
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533 | //{{{ function declarations from cf_chinese.cc |
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534 | void chineseRemainder ( const CanonicalForm & x1, const CanonicalForm & q1, const CanonicalForm & x2, const CanonicalForm & q2, CanonicalForm & xnew, CanonicalForm & qnew ); |
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535 | |
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536 | void chineseRemainder ( const CFArray & x, const CFArray & q, CanonicalForm & xnew, CanonicalForm & qnew ); |
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537 | |
---|
538 | CanonicalForm Farey ( const CanonicalForm & f, const CanonicalForm & q ); |
---|
539 | //}}} |
---|
540 | |
---|
541 | //{{{ function declarations from cf_factor.cc |
---|
542 | bool isPurePoly(const CanonicalForm & f); |
---|
543 | |
---|
544 | bool isPurePoly_m(const CanonicalForm & f); |
---|
545 | |
---|
546 | CFFList factorize ( const CanonicalForm & f, bool issqrfree = false ); |
---|
547 | |
---|
548 | CFFList factorize ( const CanonicalForm & f, const Variable & alpha ); |
---|
549 | |
---|
550 | CFFList sqrFree ( const CanonicalForm & f ); |
---|
551 | |
---|
552 | bool isSqrFree ( const CanonicalForm & f ); |
---|
553 | |
---|
554 | CanonicalForm homogenize( const CanonicalForm & f, const Variable & x); |
---|
555 | CanonicalForm homogenize( const CanonicalForm & f, const Variable & x, |
---|
556 | const Variable & v1, const Variable & v2); |
---|
557 | Variable get_max_degree_Variable(const CanonicalForm & f); |
---|
558 | CFList get_Terms( const CanonicalForm & f ); |
---|
559 | void getTerms( const CanonicalForm & f, const CanonicalForm & t, CFList & result ); |
---|
560 | |
---|
561 | |
---|
562 | //}}} |
---|
563 | |
---|
564 | //{{{ function declarations from cf_linsys.cc |
---|
565 | bool linearSystemSolve ( CFMatrix & M ); |
---|
566 | |
---|
567 | CanonicalForm determinant ( const CFMatrix & M, int n ); |
---|
568 | //}}} |
---|
569 | |
---|
570 | //{{{ function declarations from cf_resultant.cc |
---|
571 | CFArray subResChain ( const CanonicalForm & f, const CanonicalForm & g, const Variable & x ); |
---|
572 | |
---|
573 | CanonicalForm resultant ( const CanonicalForm & f, const CanonicalForm & g, const Variable & x ); |
---|
574 | //}}} |
---|
575 | |
---|
576 | //{{{ inline CanonicalForm abs ( const CanonicalForm & f ) |
---|
577 | //{{{ docu |
---|
578 | // |
---|
579 | // abs() - return absolute value of `f'. |
---|
580 | // |
---|
581 | // The absolute value is defined in terms of the function |
---|
582 | // `sign()'. If it reports negative sign for `f' than -`f' is |
---|
583 | // returned, otherwise `f'. |
---|
584 | // |
---|
585 | // This behaviour is most useful for integers and rationals. But |
---|
586 | // it may be used to sign-normalize the leading coefficient of |
---|
587 | // arbitrary polynomials, too. |
---|
588 | // |
---|
589 | // Type info: |
---|
590 | // ---------- |
---|
591 | // f: CurrentPP |
---|
592 | // |
---|
593 | //}}} |
---|
594 | inline CanonicalForm |
---|
595 | abs ( const CanonicalForm & f ) |
---|
596 | { |
---|
597 | // it is not only more general to use `sign()' instead of a |
---|
598 | // direct comparison `f < 0', it is faster, too |
---|
599 | if ( sign( f ) < 0 ) |
---|
600 | return -f; |
---|
601 | else |
---|
602 | return f; |
---|
603 | } |
---|
604 | //}}} |
---|
605 | |
---|
606 | |
---|
607 | /* stuff included from ./cf_eval.h */ |
---|
608 | |
---|
609 | |
---|
610 | class Evaluation |
---|
611 | { |
---|
612 | protected: |
---|
613 | CFArray values; |
---|
614 | public: |
---|
615 | Evaluation() : values() {} |
---|
616 | Evaluation( int min, int max ) : values( min, max ) {} |
---|
617 | Evaluation( const Evaluation & e ) : values( e.values ) {} |
---|
618 | virtual ~Evaluation() {} |
---|
619 | Evaluation& operator= ( const Evaluation & e ); |
---|
620 | int min() const { return values.min(); } |
---|
621 | int max() const { return values.max(); } |
---|
622 | CanonicalForm operator[] ( int i ) const { return values[i]; } |
---|
623 | CanonicalForm operator[] ( const Variable & v ) const { return operator[](v.level()); } |
---|
624 | CanonicalForm operator() ( const CanonicalForm& f ) const; |
---|
625 | CanonicalForm operator() ( const CanonicalForm & f, int i, int j ) const; |
---|
626 | virtual void nextpoint(); |
---|
627 | #ifndef NOSTREAMIO |
---|
628 | friend OSTREAM& operator<< ( OSTREAM& s, const Evaluation &e ); |
---|
629 | #endif /* NOSTREAMIO */ |
---|
630 | }; |
---|
631 | |
---|
632 | |
---|
633 | /* stuff included from ./cf_generator.h */ |
---|
634 | |
---|
635 | |
---|
636 | class CFGenerator |
---|
637 | { |
---|
638 | public: |
---|
639 | CFGenerator() {} |
---|
640 | virtual ~CFGenerator() {} |
---|
641 | virtual bool hasItems() const { return false; } |
---|
642 | virtual void reset() {}; |
---|
643 | virtual CanonicalForm item() const { return 0; } |
---|
644 | virtual void next() {}; |
---|
645 | }; |
---|
646 | |
---|
647 | class FFGenerator : public CFGenerator |
---|
648 | { |
---|
649 | private: |
---|
650 | int current; |
---|
651 | public: |
---|
652 | FFGenerator() : current(0) {} |
---|
653 | ~FFGenerator() {} |
---|
654 | bool hasItems() const; |
---|
655 | void reset() { current = 0; } |
---|
656 | CanonicalForm item() const; |
---|
657 | void next(); |
---|
658 | void operator++ () { next(); } |
---|
659 | void operator++ ( int ) { next(); } |
---|
660 | }; |
---|
661 | |
---|
662 | class GFGenerator : public CFGenerator |
---|
663 | { |
---|
664 | private: |
---|
665 | int current; |
---|
666 | public: |
---|
667 | GFGenerator(); |
---|
668 | ~GFGenerator() {} |
---|
669 | bool hasItems() const; |
---|
670 | void reset(); |
---|
671 | CanonicalForm item() const; |
---|
672 | void next(); |
---|
673 | void operator++ () { next(); } |
---|
674 | void operator++ ( int ) { next(); } |
---|
675 | }; |
---|
676 | |
---|
677 | class AlgExtGenerator //??? : public CFGenerator |
---|
678 | { |
---|
679 | private: |
---|
680 | Variable algext; |
---|
681 | FFGenerator **gensf; |
---|
682 | GFGenerator **gensg; |
---|
683 | int n; |
---|
684 | bool nomoreitems; |
---|
685 | AlgExtGenerator(); |
---|
686 | AlgExtGenerator( const AlgExtGenerator & ); |
---|
687 | AlgExtGenerator& operator= ( const AlgExtGenerator & ); |
---|
688 | public: |
---|
689 | AlgExtGenerator( const Variable & a ); |
---|
690 | ~AlgExtGenerator(); |
---|
691 | |
---|
692 | bool hasItems() const { return ! nomoreitems; } |
---|
693 | void reset(); |
---|
694 | CanonicalForm item() const; |
---|
695 | void next(); |
---|
696 | void operator++ () { next(); } |
---|
697 | void operator++ ( int ) { next(); } |
---|
698 | }; |
---|
699 | |
---|
700 | class CFGenFactory |
---|
701 | { |
---|
702 | public: |
---|
703 | static CFGenerator* generate(); |
---|
704 | }; |
---|
705 | |
---|
706 | |
---|
707 | /* stuff included from ./cf_iter.h */ |
---|
708 | |
---|
709 | |
---|
710 | #undef CF_INLINE |
---|
711 | #define CF_INLINE |
---|
712 | #undef CF_NO_INLINE |
---|
713 | #define CF_NO_INLINE |
---|
714 | |
---|
715 | |
---|
716 | class term; |
---|
717 | typedef term * termList; |
---|
718 | |
---|
719 | class CFIterator { |
---|
720 | private: |
---|
721 | CanonicalForm data; |
---|
722 | termList cursor; |
---|
723 | bool ispoly, hasterms; |
---|
724 | public: |
---|
725 | CFIterator (); |
---|
726 | CFIterator ( const CFIterator& ); |
---|
727 | CFIterator ( const CanonicalForm& ); |
---|
728 | CFIterator ( const CanonicalForm&, const Variable& ); |
---|
729 | |
---|
730 | ~CFIterator (); |
---|
731 | |
---|
732 | CFIterator& operator= ( const CFIterator& ); |
---|
733 | CFIterator& operator= ( const CanonicalForm& ); |
---|
734 | |
---|
735 | CF_NO_INLINE CFIterator& operator++ (); |
---|
736 | CF_NO_INLINE CFIterator& operator++ ( int ); |
---|
737 | CF_NO_INLINE int hasTerms () const; |
---|
738 | CF_NO_INLINE CanonicalForm coeff () const; |
---|
739 | CF_NO_INLINE int exp () const; |
---|
740 | }; |
---|
741 | |
---|
742 | |
---|
743 | /* stuff included from ./cf_random.h */ |
---|
744 | |
---|
745 | |
---|
746 | class CFRandom { |
---|
747 | public: |
---|
748 | virtual ~CFRandom() {} |
---|
749 | virtual CanonicalForm generate() const { return 0; } |
---|
750 | virtual CFRandom * clone() const { return new CFRandom(); } |
---|
751 | }; |
---|
752 | |
---|
753 | class GFRandom : public CFRandom |
---|
754 | { |
---|
755 | public: |
---|
756 | GFRandom() {}; |
---|
757 | ~GFRandom() {} |
---|
758 | CanonicalForm generate() const; |
---|
759 | CFRandom * clone() const; |
---|
760 | }; |
---|
761 | |
---|
762 | class FFRandom : public CFRandom |
---|
763 | { |
---|
764 | public: |
---|
765 | FFRandom() {} |
---|
766 | ~FFRandom() {} |
---|
767 | CanonicalForm generate() const; |
---|
768 | CFRandom * clone() const; |
---|
769 | }; |
---|
770 | |
---|
771 | class IntRandom : public CFRandom |
---|
772 | { |
---|
773 | private: |
---|
774 | int max; |
---|
775 | public: |
---|
776 | IntRandom(); |
---|
777 | IntRandom( int m ); |
---|
778 | ~IntRandom(); |
---|
779 | CanonicalForm generate() const; |
---|
780 | CFRandom * clone() const; |
---|
781 | }; |
---|
782 | |
---|
783 | class AlgExtRandomF : public CFRandom { |
---|
784 | private: |
---|
785 | Variable algext; |
---|
786 | CFRandom * gen; |
---|
787 | int n; |
---|
788 | AlgExtRandomF(); |
---|
789 | AlgExtRandomF( const Variable & v, CFRandom * g, int nn ); |
---|
790 | AlgExtRandomF& operator= ( const AlgExtRandomF & ); |
---|
791 | public: |
---|
792 | AlgExtRandomF( const AlgExtRandomF & ); |
---|
793 | AlgExtRandomF( const Variable & v ); |
---|
794 | AlgExtRandomF( const Variable & v1, const Variable & v2 ); |
---|
795 | ~AlgExtRandomF(); |
---|
796 | CanonicalForm generate() const; |
---|
797 | CFRandom * clone() const; |
---|
798 | }; |
---|
799 | |
---|
800 | class CFRandomFactory { |
---|
801 | public: |
---|
802 | static CFRandom * generate(); |
---|
803 | }; |
---|
804 | |
---|
805 | int factoryrandom( int n ); |
---|
806 | |
---|
807 | void factoryseed( int s ); |
---|
808 | |
---|
809 | |
---|
810 | /* stuff included from ./cf_irred.h */ |
---|
811 | |
---|
812 | |
---|
813 | CanonicalForm find_irreducible ( int deg, CFRandom & gen, const Variable & x ); |
---|
814 | |
---|
815 | |
---|
816 | /* stuff included from ./fac_util.h */ |
---|
817 | |
---|
818 | |
---|
819 | class modpk |
---|
820 | { |
---|
821 | private: |
---|
822 | CanonicalForm pk; |
---|
823 | CanonicalForm pkhalf; |
---|
824 | int p; |
---|
825 | int k; |
---|
826 | public: |
---|
827 | modpk(); |
---|
828 | modpk( int q, int l ); |
---|
829 | modpk( const modpk & m ); |
---|
830 | modpk& operator= ( const modpk& m ); |
---|
831 | ~modpk() {} |
---|
832 | int getp() const { return p; } |
---|
833 | int getk() const { return k; } |
---|
834 | CanonicalForm inverse( const CanonicalForm & f, bool symmetric = true ) const; |
---|
835 | CanonicalForm getpk() const { return pk; } |
---|
836 | CanonicalForm operator() ( const CanonicalForm & f, bool symmetric = true ) const; |
---|
837 | }; |
---|
838 | |
---|
839 | |
---|
840 | CanonicalForm replaceLc( const CanonicalForm & f, const CanonicalForm & c ); |
---|
841 | |
---|
842 | CanonicalForm remainder( const CanonicalForm & f, const CanonicalForm & g, const modpk & pk ); |
---|
843 | |
---|
844 | void divremainder( const CanonicalForm & f, const CanonicalForm & g, CanonicalForm & quot, CanonicalForm & rem, const modpk & pk ); |
---|
845 | |
---|
846 | bool Hensel ( const CanonicalForm & U, CFArray & G, const CFArray & lcG, const Evaluation & A, const modpk & bound, const Variable & x ); |
---|
847 | |
---|
848 | /* some special array functions */ |
---|
849 | |
---|
850 | CanonicalForm sum ( const CFArray & a, int f, int l ); |
---|
851 | |
---|
852 | CanonicalForm prod ( const CFArray & a, int f, int l ); |
---|
853 | |
---|
854 | CanonicalForm sum ( const CFArray & a ); |
---|
855 | |
---|
856 | CanonicalForm prod ( const CFArray & a ); |
---|
857 | |
---|
858 | CanonicalForm crossprod ( const CFArray & a, const CFArray & b ); |
---|
859 | |
---|
860 | |
---|
861 | /* stuff included from ./cf_map.h */ |
---|
862 | |
---|
863 | |
---|
864 | //{{{ class MapPair |
---|
865 | //{{{ docu |
---|
866 | // |
---|
867 | // class MapPair - stores one mapping pair (Variable -> CanonicalForm). |
---|
868 | // |
---|
869 | // This class is only used to store such pairs. It has no |
---|
870 | // methods to transform a CanonicalForm as the class CFMap has. |
---|
871 | // |
---|
872 | // V, S: the pair (V -> S) |
---|
873 | // |
---|
874 | //}}} |
---|
875 | //{{{ inline method docu |
---|
876 | // |
---|
877 | // Variable var () const |
---|
878 | // CanonicalForm subst () const |
---|
879 | // |
---|
880 | // var(), subst() - selectors, return V and P, resp. |
---|
881 | // |
---|
882 | //}}} |
---|
883 | class MapPair |
---|
884 | { |
---|
885 | private: |
---|
886 | Variable V; |
---|
887 | CanonicalForm S; |
---|
888 | public: |
---|
889 | MapPair ( const Variable & v, const CanonicalForm & s ) : V(v), S(s) {} |
---|
890 | MapPair () : V(), S(1) {} |
---|
891 | MapPair ( const MapPair & p ) : V(p.V), S(p.S) {} |
---|
892 | ~MapPair () {} |
---|
893 | MapPair & operator = ( const MapPair & p ); |
---|
894 | Variable var () const { return V; } |
---|
895 | CanonicalForm subst () const { return S; } |
---|
896 | #ifndef NOSTREAMIO |
---|
897 | void print( OSTREAM&) const; |
---|
898 | friend OSTREAM & operator << ( OSTREAM & s, const MapPair & p ); |
---|
899 | #endif /* NOSTREAMIO */ |
---|
900 | }; |
---|
901 | //}}} |
---|
902 | |
---|
903 | typedef List<MapPair> MPList; |
---|
904 | typedef ListIterator<MapPair> MPListIterator; |
---|
905 | |
---|
906 | //{{{ class CFMap |
---|
907 | //{{{ docu |
---|
908 | // |
---|
909 | // class CFMap - class to map canonical forms. |
---|
910 | // |
---|
911 | // Use an object of class CFMap to insert 'values' into canonical |
---|
912 | // form. Such a mapping is defined by a list of MapPairs (V -> S) |
---|
913 | // describing which canonical form S to insert for variable V. |
---|
914 | // Hereby, the substituted canonical forms are not subject to |
---|
915 | // further substitutions. |
---|
916 | // |
---|
917 | // P: list of MapPairs, sorted by level in descending order |
---|
918 | // |
---|
919 | //}}} |
---|
920 | class CFMap |
---|
921 | { |
---|
922 | private: |
---|
923 | MPList P; |
---|
924 | public: |
---|
925 | CFMap () {} |
---|
926 | CFMap ( const CanonicalForm & s ) : P( MapPair( Variable(), s ) ) {} |
---|
927 | CFMap ( const Variable & v ) : P( MapPair( v, 1 ) ) {} |
---|
928 | CFMap ( const Variable & v, const CanonicalForm & s ) : P( MapPair( v, s ) ) {} |
---|
929 | ~CFMap () {} |
---|
930 | CFMap ( const CFList & L ); |
---|
931 | CFMap ( const CFMap & m ) : P( m.P ) {} |
---|
932 | CFMap & operator = ( const CFMap & m ); |
---|
933 | void newpair ( const Variable & v, const CanonicalForm & s ); |
---|
934 | CanonicalForm operator () ( const CanonicalForm & f ) const; |
---|
935 | #ifndef NOSTREAMIO |
---|
936 | friend OSTREAM & operator << ( OSTREAM & s, const CFMap & m ); |
---|
937 | #endif /* NOSTREAMIO */ |
---|
938 | }; |
---|
939 | //}}} |
---|
940 | |
---|
941 | CanonicalForm compress ( const CanonicalForm & f, CFMap & m ); |
---|
942 | void compress ( const CFArray & a, CFMap & M, CFMap & N ); |
---|
943 | void compress ( const CanonicalForm & f, const CanonicalForm & g, CFMap & M, CFMap & N ); |
---|
944 | |
---|
945 | |
---|
946 | /* stuff included from ./cf_reval.h */ |
---|
947 | |
---|
948 | |
---|
949 | class REvaluation : public Evaluation |
---|
950 | { |
---|
951 | protected: // neeeded in FFREvaluation |
---|
952 | CFRandom * gen; |
---|
953 | public: |
---|
954 | REvaluation() : Evaluation(), gen(0) {} |
---|
955 | REvaluation( int min, int max, const CFRandom & sample ) : Evaluation( min, max ), gen( sample.clone() ) {} |
---|
956 | REvaluation( const REvaluation & e ); |
---|
957 | ~REvaluation(); |
---|
958 | REvaluation& operator= ( const REvaluation & e ); |
---|
959 | void nextpoint(); |
---|
960 | }; |
---|
961 | |
---|
962 | |
---|
963 | /* stuff included from ./fac_sqrfree.h */ |
---|
964 | |
---|
965 | |
---|
966 | #ifdef SINGULAR |
---|
967 | |
---|
968 | /* stuff included from ./gfops.h */ |
---|
969 | |
---|
970 | |
---|
971 | int gf_gf2ff ( int a ); |
---|
972 | |
---|
973 | bool gf_isff ( int a ); |
---|
974 | |
---|
975 | |
---|
976 | /* stuff included from ./singext.h */ |
---|
977 | |
---|
978 | |
---|
979 | MP_INT gmp_numerator ( const CanonicalForm & f ); |
---|
980 | |
---|
981 | MP_INT gmp_denominator ( const CanonicalForm & f ); |
---|
982 | |
---|
983 | int gf_value (const CanonicalForm & f ); |
---|
984 | |
---|
985 | CanonicalForm make_cf ( const MP_INT & n ); |
---|
986 | |
---|
987 | CanonicalForm make_cf ( const MP_INT & n, const MP_INT & d, bool normalize ); |
---|
988 | |
---|
989 | CanonicalForm make_cf_from_gf ( const int z ); |
---|
990 | |
---|
991 | |
---|
992 | #endif /* SINGULAR */ |
---|
993 | |
---|
994 | #ifdef HAVE_BIFAC |
---|
995 | /* stuff included from ./bifac.h */ |
---|
996 | |
---|
997 | |
---|
998 | CFFList AbsFactorize( const CanonicalForm & a ); |
---|
999 | |
---|
1000 | class BIFAC |
---|
1001 | { |
---|
1002 | //////////////////////////////////////////////////////////////// |
---|
1003 | public: |
---|
1004 | //////////////////////////////////////////////////////////////// |
---|
1005 | |
---|
1006 | // === KONST-/ DESTRUKTOREN ==== |
---|
1007 | BIFAC ( void ); // Konstruktor |
---|
1008 | virtual ~BIFAC( void ); // DESTRUKTOR |
---|
1009 | |
---|
1010 | // === Funktionen ======= |
---|
1011 | void bifac(CanonicalForm f, bool absolute=true); |
---|
1012 | CFFList getFactors( void ){ return gl_RL; }; |
---|
1013 | |
---|
1014 | |
---|
1015 | //////////////////////////////////////////////////////////////// |
---|
1016 | private: |
---|
1017 | //////////////////////////////////////////////////////////////// |
---|
1018 | |
---|
1019 | // === Funktionen ======= |
---|
1020 | void passedTime(); |
---|
1021 | void biGanzMachen( CanonicalForm & f ); |
---|
1022 | void biNormieren( CanonicalForm & f ) ; |
---|
1023 | void convertResult( CanonicalForm & f, int ch, int sw); |
---|
1024 | int findCharacteristic(CanonicalForm f); |
---|
1025 | // void matrix_drucken( CFMatrix M ); |
---|
1026 | long int anz_terme( CanonicalForm & f ); |
---|
1027 | |
---|
1028 | CFList matrix2basis(CFMatrix A, int dim, int m, int n, CanonicalForm f); |
---|
1029 | CFList basisOfG(CanonicalForm f); |
---|
1030 | CFMatrix createA (CFList G, CanonicalForm f); |
---|
1031 | CanonicalForm create_g (CFList G); |
---|
1032 | CFList createRg (CFList G, CanonicalForm f); |
---|
1033 | CFList createEg (CFList G, CanonicalForm f); |
---|
1034 | CFList createEgUni (CFList G, CanonicalForm f); |
---|
1035 | |
---|
1036 | void unifac(CanonicalForm f, int grad); |
---|
1037 | CanonicalForm RationalFactor (CanonicalForm phi, CanonicalForm f, \ |
---|
1038 | CanonicalForm fx, CanonicalForm g); |
---|
1039 | void RationalFactorizationOnly (CFFList Phis, CanonicalForm f, CanonicalForm g); |
---|
1040 | CFList getAbsoluteFactors (CanonicalForm f1, CanonicalForm phi); |
---|
1041 | void AbsoluteFactorization (CFFList Phis, CanonicalForm f, CanonicalForm g); |
---|
1042 | void bifacSqrFree( CanonicalForm f ); |
---|
1043 | void bifacMain(CanonicalForm f); |
---|
1044 | |
---|
1045 | |
---|
1046 | // === Variable ======= |
---|
1047 | CFFList gl_RL; // where to store the rational factorization |
---|
1048 | CFList gl_AL; // where to store the absolute factorization |
---|
1049 | bool absolute; // Compute an absolute factorization as well? |
---|
1050 | int exponent; // |
---|
1051 | }; |
---|
1052 | |
---|
1053 | #endif /* HAVE_BIFAC */ |
---|
1054 | |
---|
1055 | #endif /* ! INCL_FACTORY_H */ |
---|