1 | // emacs edit mode for this file is -*- C++ -*- |
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2 | /**************************************** |
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3 | * Computer Algebra System SINGULAR * |
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4 | ****************************************/ |
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5 | // $Id: clapconv.cc,v 1.26 2000-08-14 12:55:55 obachman Exp $ |
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6 | /* |
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7 | * ABSTRACT: convert data between Singular and factory |
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8 | */ |
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9 | |
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10 | |
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11 | #include "mod2.h" |
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12 | #ifdef HAVE_FACTORY |
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13 | #include <omalloc.h> |
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14 | #include "tok.h" |
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15 | #define SI_DONT_HAVE_GLOBAL_VARS |
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16 | #include "clapconv.h" |
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17 | #include "numbers.h" |
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18 | #include "longalg.h" |
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19 | #include "polys.h" |
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20 | #include "modulop.h" |
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21 | #include "febase.h" |
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22 | #include "ipid.h" |
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23 | #include "ring.h" |
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24 | |
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25 | static void convRec( const CanonicalForm & f, int * exp, poly & result ); |
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26 | |
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27 | static void convRecAlg( const CanonicalForm & f, int * exp, alg & result ); |
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28 | |
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29 | static void convRecPP ( const CanonicalForm & f, int * exp, poly & result ); |
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30 | |
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31 | static void convRecPTr ( const CanonicalForm & f, int * exp, alg & result ); |
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32 | |
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33 | static void convRecAP ( const CanonicalForm & f, int * exp, poly & result ); |
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34 | |
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35 | static void convRecTrP ( const CanonicalForm & f, int * exp, poly & result, int offs ); |
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36 | |
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37 | static void convRecGFGF ( const CanonicalForm & f, int * exp, poly & result ); |
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38 | |
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39 | static number convClapNSingAN( const CanonicalForm &f); |
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40 | |
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41 | CanonicalForm |
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42 | convSingPClapP( poly p ) |
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43 | { |
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44 | CanonicalForm result = 0; |
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45 | int e, n = pVariables; |
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46 | assume( rPar(currRing)==0); |
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47 | |
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48 | while ( p != NULL ) |
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49 | { |
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50 | CanonicalForm term; |
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51 | /* does only work for finite fields */ |
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52 | if ( getCharacteristic() != 0 ) |
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53 | { |
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54 | Off(SW_USE_EZGCD); |
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55 | term = npInt( pGetCoeff( p ) ); |
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56 | } |
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57 | else |
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58 | { |
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59 | if ( (int)(pGetCoeff( p )) & 1 ) |
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60 | { |
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61 | term = ((int)( pGetCoeff( p ) )>>2); |
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62 | } |
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63 | else |
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64 | { |
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65 | if ( pGetCoeff( p )->s == 3 ) |
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66 | { |
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67 | MP_INT dummy; |
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68 | mpz_init_set( &dummy, &(pGetCoeff( p )->z) ); |
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69 | term = make_cf( dummy ); |
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70 | } |
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71 | else if ( pGetCoeff( p )->s == 1 ) |
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72 | { |
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73 | MP_INT num, den; |
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74 | On(SW_RATIONAL); |
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75 | mpz_init_set( &num, &(pGetCoeff( p )->z) ); |
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76 | mpz_init_set( &den, &(pGetCoeff( p )->n) ); |
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77 | term = make_cf( num, den, false ); |
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78 | } |
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79 | else |
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80 | { // assume s == 0 |
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81 | MP_INT num, den; |
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82 | mpz_init_set( &num, &(pGetCoeff( p )->z) ); |
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83 | mpz_init_set( &den, &(pGetCoeff( p )->n) ); |
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84 | term = make_cf( num, den, true ); |
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85 | } |
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86 | } |
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87 | } |
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88 | for ( int i = 1; i <= n; i++ ) |
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89 | { |
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90 | if ( (e = pGetExp( p, i )) != 0 ) |
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91 | term *= power( Variable( i ), e ); |
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92 | } |
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93 | result += term; |
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94 | p = pNext( p ); |
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95 | } |
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96 | return result; |
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97 | } |
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98 | |
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99 | poly |
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100 | convClapPSingP ( const CanonicalForm & f ) |
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101 | { |
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102 | // cerr << " f = " << f << endl; |
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103 | int n = pVariables+1; |
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104 | /* ASSERT( level( f ) <= pVariables, "illegal number of variables" ); */ |
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105 | int * exp = new int[n]; |
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106 | //for ( int i = 0; i < n; i++ ) exp[i] = 0; |
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107 | memset(exp,0,n*sizeof(int)); |
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108 | poly result = NULL; |
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109 | convRecPP( f, exp, result ); |
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110 | delete [] exp; |
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111 | return result; |
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112 | } |
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113 | |
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114 | static void |
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115 | convRecPP ( const CanonicalForm & f, int * exp, poly & result ) |
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116 | { |
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117 | if (f == 0) |
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118 | return; |
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119 | if ( ! f.inCoeffDomain() ) |
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120 | { |
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121 | int l = f.level(); |
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122 | for ( CFIterator i = f; i.hasTerms(); i++ ) |
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123 | { |
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124 | exp[l] = i.exp(); |
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125 | convRecPP( i.coeff(), exp, result ); |
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126 | } |
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127 | exp[l] = 0; |
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128 | } |
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129 | else |
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130 | { |
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131 | poly term = pInit(); |
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132 | pNext( term ) = NULL; |
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133 | for ( int i = 1; i <= pVariables; i++ ) |
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134 | pSetExp( term, i, exp[i]); |
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135 | pSetComp(term, 0); |
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136 | if ( getCharacteristic() != 0 ) |
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137 | { |
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138 | pGetCoeff( term ) = nInit( f.intval() ); |
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139 | } |
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140 | else |
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141 | { |
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142 | if ( f.isImm() ) |
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143 | pGetCoeff( term ) = nInit( f.intval() ); |
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144 | else |
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145 | { |
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146 | number z=(number)omAllocBin(rnumber_bin); |
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147 | #if defined(LDEBUG) |
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148 | z->debug=123456; |
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149 | #endif |
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150 | z->z = gmp_numerator( f ); |
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151 | if ( f.den() == 1 ) |
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152 | z->s = 3; |
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153 | else |
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154 | { |
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155 | z->n = gmp_denominator( f ); |
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156 | z->s = 0; |
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157 | } |
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158 | pGetCoeff( term ) = z; |
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159 | } |
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160 | } |
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161 | pSetm( term ); |
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162 | if ( nIsZero(pGetCoeff(term)) ) |
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163 | { |
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164 | pDelete(&term); |
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165 | } |
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166 | else |
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167 | { |
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168 | result = pAdd( result, term ); |
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169 | } |
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170 | } |
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171 | } |
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172 | |
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173 | |
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174 | CanonicalForm |
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175 | convSingTrClapP( alg p ) |
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176 | { |
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177 | CanonicalForm result = 0; |
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178 | int e, n = napVariables; |
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179 | |
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180 | while ( p!=NULL) |
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181 | { |
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182 | CanonicalForm term; |
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183 | /* does only work for finite fields */ |
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184 | if ( getCharacteristic() != 0 ) |
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185 | { |
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186 | Off(SW_USE_EZGCD); |
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187 | term = npInt( napGetCoeff( p ) ); |
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188 | } |
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189 | else |
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190 | { |
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191 | On(SW_USE_EZGCD); |
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192 | //if ( (!(int)(napGetCoeff( p )) & 1 ) |
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193 | //&& ( napGetCoeff( p )->s == 0)) |
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194 | // naNormalize( naGetCoeff( p ) ); |
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195 | if ( (int)(napGetCoeff( p )) & 1 ) |
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196 | term = nlInt( napGetCoeff( p ) ); |
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197 | else |
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198 | { |
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199 | if ( napGetCoeff( p )->s == 3 ) |
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200 | { |
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201 | MP_INT dummy; |
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202 | mpz_init_set( &dummy, &(napGetCoeff( p )->z) ); |
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203 | term = make_cf( dummy ); |
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204 | } |
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205 | else if ( napGetCoeff( p )->s == 1 ) |
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206 | { |
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207 | MP_INT num, den; |
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208 | On(SW_RATIONAL); |
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209 | mpz_init_set( &num, &(napGetCoeff( p )->z) ); |
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210 | mpz_init_set( &den, &(napGetCoeff( p )->n) ); |
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211 | term = make_cf( num, den, false ); |
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212 | } |
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213 | else |
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214 | { // assume s == 0 |
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215 | MP_INT num, den; |
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216 | On(SW_RATIONAL); |
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217 | mpz_init_set( &num, &(napGetCoeff( p )->z) ); |
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218 | mpz_init_set( &den, &(napGetCoeff( p )->n) ); |
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219 | term = make_cf( num, den, true ); |
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220 | } |
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221 | } |
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222 | } |
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223 | for ( int i = 1; i <= n; i++ ) |
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224 | { |
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225 | if ( (e = napGetExp( p, i )) != 0 ) |
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226 | term *= power( Variable( i ), e ); |
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227 | } |
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228 | result += term; |
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229 | p = napNext( p ); |
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230 | } |
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231 | return result; |
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232 | } |
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233 | |
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234 | alg |
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235 | convClapPSingTr ( const CanonicalForm & f ) |
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236 | { |
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237 | // cerr << " f = " << f << endl; |
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238 | int n = napVariables+1; |
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239 | /* ASSERT( level( f ) <= napVariables, "illegal number of variables" ); */ |
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240 | int * exp = new int[n]; |
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241 | // for ( int i = 0; i < n; i++ ) exp[i] = 0; |
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242 | memset(exp,0,n*sizeof(int)); |
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243 | alg result = NULL; |
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244 | convRecPTr( f, exp, result ); |
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245 | delete [] exp; |
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246 | return result; |
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247 | } |
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248 | |
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249 | static void |
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250 | convRecPTr ( const CanonicalForm & f, int * exp, alg & result ) |
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251 | { |
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252 | if (f == 0) |
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253 | return; |
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254 | if ( ! f.inCoeffDomain() ) |
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255 | { |
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256 | int l = f.level(); |
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257 | for ( CFIterator i = f; i.hasTerms(); i++ ) |
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258 | { |
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259 | exp[l] = i.exp(); |
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260 | convRecPTr( i.coeff(), exp, result ); |
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261 | } |
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262 | exp[l] = 0; |
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263 | } |
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264 | else |
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265 | { |
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266 | alg term = napNew(); |
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267 | // napNext( term ) = NULL; //already done by napNew |
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268 | for ( int i = 1; i <= napVariables; i++ ) |
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269 | napGetExp( term, i ) = exp[i]; |
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270 | if ( getCharacteristic() != 0 ) |
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271 | { |
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272 | napGetCoeff( term ) = npInit( f.intval() ); |
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273 | } |
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274 | else |
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275 | { |
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276 | if ( f.isImm() ) |
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277 | napGetCoeff( term ) = nlInit( f.intval() ); |
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278 | else |
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279 | { |
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280 | number z=(number)omAllocBin(rnumber_bin); |
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281 | #if defined(LDEBUG) |
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282 | z->debug=123456; |
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283 | #endif |
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284 | z->z = gmp_numerator( f ); |
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285 | if ( f.den() == 1 ) |
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286 | { |
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287 | z->s = 3; |
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288 | } |
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289 | else |
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290 | { |
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291 | z->n = gmp_denominator( f ); |
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292 | if (mpz_cmp_si(&z->n,(long)1)==0) |
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293 | { |
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294 | mpz_clear(&z->n); |
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295 | z->s=3; |
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296 | } |
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297 | else |
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298 | { |
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299 | z->s = 0; |
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300 | } |
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301 | nacNormalize(z); |
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302 | } |
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303 | napGetCoeff( term ) = z; |
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304 | } |
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305 | } |
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306 | result = napAdd( result, term ); |
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307 | } |
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308 | } |
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309 | |
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310 | CanonicalForm convSingAPClapAP ( poly p , const Variable & a) |
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311 | { |
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312 | CanonicalForm result = 0; |
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313 | int e, n = pVariables; |
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314 | int off=rPar(currRing); |
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315 | |
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316 | On(SW_RATIONAL); |
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317 | while ( p!=NULL) |
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318 | { |
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319 | CanonicalForm term=convSingAClapA(((lnumber)pGetCoeff(p))->z,a); |
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320 | for ( int i = 1; i <= n; i++ ) |
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321 | { |
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322 | if ( (e = pGetExp( p, i )) != 0 ) |
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323 | term *= power( Variable( i + off), e ); |
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324 | } |
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325 | result += term; |
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326 | p = pNext( p ); |
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327 | } |
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328 | return result; |
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329 | } |
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330 | |
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331 | poly convClapAPSingAP ( const CanonicalForm & f ) |
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332 | { |
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333 | int n = pVariables+1+1/*rPar(currRing)*/; |
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334 | int * exp = new int[n]; |
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335 | // for ( int i = 0; i < n; i++ ) exp[i] = 0; |
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336 | memset(exp,0,n*sizeof(int)); |
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337 | poly result = NULL; |
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338 | convRecAP( f, exp, result ); |
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339 | delete [] exp; |
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340 | return result; |
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341 | } |
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342 | |
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343 | static void |
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344 | convRecAP ( const CanonicalForm & f, int * exp, poly & result ) |
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345 | { |
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346 | if (f == 0) |
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347 | return; |
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348 | int off=rPar(currRing); |
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349 | if ( ! f.inCoeffDomain() ) |
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350 | { |
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351 | int l = f.level(); |
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352 | for ( CFIterator i = f; i.hasTerms(); i++ ) |
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353 | { |
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354 | exp[l] = i.exp(); |
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355 | convRecAP( i.coeff(), exp, result ); |
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356 | } |
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357 | exp[l] = 0; |
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358 | } |
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359 | else |
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360 | { |
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361 | alg z=(alg)convClapASingA( f ); |
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362 | if (z!=NULL) |
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363 | { |
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364 | poly term = pInit(); |
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365 | pNext( term ) = NULL; |
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366 | int i; |
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367 | for ( i = 1; i <= pVariables; i++ ) |
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368 | pSetExp( term, i , exp[i+off]); |
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369 | pSetComp(term, 0); |
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370 | for ( i = 0; i < off; i++ ) |
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371 | z->e[i]+=exp[i+1]; |
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372 | pGetCoeff(term)=(number)omAlloc0Bin(rnumber_bin); |
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373 | ((lnumber)pGetCoeff(term))->z=z; |
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374 | pSetm( term ); |
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375 | result = pAdd( result, term ); |
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376 | } |
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377 | } |
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378 | } |
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379 | |
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380 | CanonicalForm convSingAClapA ( alg p , const Variable & a ) |
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381 | { |
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382 | CanonicalForm result = 0; |
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383 | int e; |
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384 | |
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385 | while ( p!=NULL ) |
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386 | { |
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387 | CanonicalForm term; |
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388 | /* does only work for finite fields:Z/p */ |
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389 | if ( rField_is_Zp_a() ) |
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390 | { |
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391 | Off(SW_USE_EZGCD); |
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392 | term = npInt( napGetCoeff( p ) ); |
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393 | } |
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394 | else |
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395 | { |
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396 | On(SW_USE_EZGCD); |
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397 | //if ( (!(int)(napGetCoeff( p )) & 1 ) |
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398 | //&& ( napGetCoeff( p )->s == 0)) |
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399 | // naNormalize( naGetCoeff( p ) ); |
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400 | if ( (int)(napGetCoeff( p )) & SR_INT ) |
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401 | term = nlInt( napGetCoeff( p ) ); |
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402 | //term = SR_TO_INT(napGetCoeff( p )) ; |
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403 | else |
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404 | { |
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405 | if ( napGetCoeff( p )->s == 3 ) |
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406 | { |
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407 | MP_INT dummy; |
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408 | mpz_init_set( &dummy, &(napGetCoeff( p )->z) ); |
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409 | term = make_cf( dummy ); |
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410 | } |
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411 | else if ( napGetCoeff( p )->s == 1 ) |
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412 | { |
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413 | MP_INT num, den; |
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414 | On(SW_RATIONAL); |
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415 | mpz_init_set( &num, &(napGetCoeff( p )->z) ); |
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416 | mpz_init_set( &den, &(napGetCoeff( p )->n) ); |
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417 | term = make_cf( num, den, false ); |
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418 | } |
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419 | else |
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420 | { // assume s == 0 |
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421 | MP_INT num, den; |
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422 | On(SW_RATIONAL); |
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423 | mpz_init_set( &num, &(napGetCoeff( p )->z) ); |
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424 | mpz_init_set( &den, &(napGetCoeff( p )->n) ); |
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425 | term = make_cf( num, den, true ); |
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426 | } |
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427 | } |
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428 | } |
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429 | if ( (e = napGetExp( p, 1 )) != 0 ) |
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430 | term *= power( a , e ); |
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431 | result += term; |
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432 | p = napNext( p ); |
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433 | } |
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434 | return result; |
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435 | } |
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436 | |
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437 | static number convClapNSingAN( const CanonicalForm &f) |
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438 | { |
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439 | if ((getCharacteristic() != 0) || ( f.isImm() )) |
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440 | return nacInit( f.intval() ); |
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441 | else |
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442 | { |
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443 | number z=(number)omAllocBin(rnumber_bin); |
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444 | #if defined(LDEBUG) |
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445 | z->debug=123456; |
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446 | #endif |
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447 | z->z = gmp_numerator( f ); |
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448 | if ( f.den() == 1 ) |
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449 | { |
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450 | z->s = 3; |
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451 | } |
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452 | else |
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453 | { |
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454 | z->n = gmp_denominator( f ); |
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455 | z->s = 0; |
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456 | } |
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457 | #ifdef LDEBUG |
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458 | nlDBTest(z,__FILE__,__LINE__); |
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459 | #endif |
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460 | return z; |
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461 | } |
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462 | } |
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463 | |
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464 | alg convClapASingA ( const CanonicalForm & f ) |
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465 | { |
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466 | alg a=NULL; |
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467 | alg t; |
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468 | for( CFIterator i=f; i.hasTerms(); i++) |
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469 | { |
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470 | t=napNew(); |
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471 | // napNext( t ) = NULL; //already done by napNew |
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472 | napGetCoeff(t)=convClapNSingAN( i.coeff() ); |
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473 | if (nacIsZero(napGetCoeff(t))) |
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474 | { |
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475 | napDelete(&t); |
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476 | } |
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477 | else |
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478 | { |
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479 | napGetExp(t,1)=i.exp(); |
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480 | a=napAdd(a,t); |
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481 | } |
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482 | } |
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483 | return a; |
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484 | } |
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485 | |
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486 | CanonicalForm convSingTrPClapP ( poly p ) |
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487 | { |
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488 | CanonicalForm result = 0; |
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489 | int e, n = pVariables; |
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490 | int offs = rPar(currRing); |
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491 | |
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492 | while ( p!=NULL ) |
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493 | { |
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494 | nNormalize(pGetCoeff(p)); |
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495 | CanonicalForm term=convSingTrClapP(((lnumber)pGetCoeff(p))->z); |
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496 | for ( int i = 1; i <= n; i++ ) |
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497 | { |
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498 | if ( (e = pGetExp( p, i )) != 0 ) |
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499 | term = term * power( Variable( i + offs ), e ); |
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500 | } |
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501 | result += term; |
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502 | p = pNext( p ); |
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503 | } |
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504 | return result; |
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505 | } |
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506 | |
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507 | poly convClapPSingTrP ( const CanonicalForm & f ) |
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508 | { |
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509 | int n = pVariables+1; |
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510 | int * exp = new int[n]; |
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511 | // for ( int i = 0; i < n; i++ ) exp[i] = 0; |
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512 | memset(exp,0,n*sizeof(int)); |
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513 | poly result = NULL; |
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514 | convRecTrP( f, exp, result , rPar(currRing) ); |
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515 | delete [] exp; |
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516 | return result; |
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517 | } |
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518 | |
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519 | static void |
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520 | convRecTrP ( const CanonicalForm & f, int * exp, poly & result , int offs) |
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521 | { |
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522 | if (f == 0) |
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523 | return; |
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524 | if ( f.level() > offs ) |
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525 | { |
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526 | int l = f.level(); |
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527 | for ( CFIterator i = f; i.hasTerms(); i++ ) |
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528 | { |
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529 | exp[l-offs] = i.exp(); |
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530 | convRecTrP( i.coeff(), exp, result, offs ); |
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531 | } |
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532 | exp[l-offs] = 0; |
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533 | } |
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534 | else |
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535 | { |
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536 | poly term = pInit(); |
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537 | pNext( term ) = NULL; |
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538 | for ( int i = 1; i <= pVariables; i++ ) |
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539 | pSetExp( term, i ,exp[i]); |
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540 | pSetComp(term, 0); |
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541 | pGetCoeff(term)=(number)omAlloc0Bin(rnumber_bin); |
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542 | ((lnumber)pGetCoeff(term))->z=convClapPSingTr( f ); |
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543 | pSetm( term ); |
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544 | result = pAdd( result, term ); |
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545 | } |
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546 | } |
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547 | |
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548 | #if 0 |
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549 | CanonicalForm |
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550 | convSingGFClapGF( poly p ) |
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551 | { |
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552 | CanonicalForm result = 0; |
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553 | int e, n = pVariables; |
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554 | |
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555 | while ( p != NULL ) |
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556 | { |
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557 | CanonicalForm term; |
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558 | term = make_cf_from_gf( pGetCoeff( p ) ); |
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559 | for ( int i = 1; i <= n; i++ ) |
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560 | { |
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561 | if ( (e = pGetExp( p, i )) != 0 ) |
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562 | term *= power( Variable( i ), e ); |
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563 | } |
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564 | result += term; |
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565 | p = pNext( p ); |
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566 | } |
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567 | return result; |
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568 | } |
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569 | |
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570 | poly |
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571 | convClapGFSingGF ( const CanonicalForm & f ) |
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572 | { |
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573 | // cerr << " f = " << f << endl; |
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574 | int n = pVariables+1; |
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575 | /* ASSERT( level( f ) <= pVariables, "illegal number of variables" ); */ |
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576 | int * exp = new int[n]; |
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577 | //for ( int i = 0; i < n; i++ ) exp[i] = 0; |
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578 | memset(exp,0,n*sizeof(int)); |
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579 | poly result = NULL; |
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580 | convRecGFGF( f, exp, result ); |
---|
581 | delete [] exp; |
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582 | return result; |
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583 | } |
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584 | |
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585 | static void |
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586 | convRecGFGF ( const CanonicalForm & f, int * exp, poly & result ) |
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587 | { |
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588 | if (f == 0) |
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589 | return; |
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590 | if ( ! f.inCoeffDomain() ) |
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591 | { |
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592 | int l = f.level(); |
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593 | for ( CFIterator i = f; i.hasTerms(); i++ ) |
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594 | { |
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595 | exp[l] = i.exp(); |
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596 | convRecGFGF( i.coeff(), exp, result ); |
---|
597 | } |
---|
598 | exp[l] = 0; |
---|
599 | } |
---|
600 | else |
---|
601 | { |
---|
602 | poly term = pInit(); |
---|
603 | pNext( term ) = NULL; |
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604 | for ( int i = 1; i <= pVariables; i++ ) |
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605 | pSetExp( term, i, exp[i]); |
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606 | pSetComp(term, 0); |
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607 | pGetCoeff( term ) = (number) gf_value (f); |
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608 | pSetm( term ); |
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609 | result = pAdd( result, term ); |
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610 | } |
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611 | } |
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612 | #endif |
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613 | |
---|
614 | int convClapISingI( const CanonicalForm & f) |
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615 | { |
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616 | if (!f.isImm()) WerrorS("int overflow in det"); |
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617 | return f.intval(); |
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618 | } |
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619 | #endif |
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