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: clapsing.cc,v 1.33 1998-04-23 10:17:03 schmidt Exp $ |
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6 | /* |
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7 | * ABSTRACT: interface between Singular and factory |
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8 | */ |
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9 | |
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10 | #include "mod2.h" |
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11 | #ifdef HAVE_FACTORY |
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12 | #define SI_DONT_HAVE_GLOBAL_VARS |
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13 | #include "tok.h" |
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14 | #include "clapsing.h" |
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15 | #include "ipid.h" |
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16 | #include "numbers.h" |
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17 | #include "subexpr.h" |
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18 | #include "ipshell.h" |
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19 | #include "ring.h" |
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20 | #include <factory.h> |
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21 | #include "clapconv.h" |
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22 | #ifdef HAVE_LIBFAC_P |
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23 | #include <factor.h> |
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24 | #endif |
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25 | #include "ring.h" |
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26 | |
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27 | // FACTORY_GCD_TEST: use new gcd instead of old one. |
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28 | // FACTORY_GCD_STAT: print statistics on polynomials. Works only |
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29 | // with appropriately translated new gcd. |
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30 | // FACTORY_GCD_TIMING: accumulate time used for gcd calculations. |
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31 | // Time may be printed (and reset) with `system("gcdtime");'. |
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32 | // For tis define, `timing.h' from the factory source directory |
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33 | // has to be copied to the Singualr source directory. |
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34 | // Note: for better readability, the macros `TIMING_START()' and |
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35 | // `TIMING_END()' are used in any case. However, they expand to |
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36 | // nothing if `FACTORY_GCD_TIMING' is off. |
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37 | // FACTORY_GCD_DEBOUT: print polynomials involved in gcd calculations. |
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38 | // The polynomials are printed by means of the macros |
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39 | // `FACTORY_*OUT' which are defined to be empty if |
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40 | // `FACTORY_GCD_DEBOUT' is off. |
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41 | |
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42 | #ifdef FACTORY_GCD_STAT |
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43 | #define FACTORY_GCD_TEST |
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44 | #endif |
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45 | |
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46 | #ifdef FACTORY_GCD_TIMING |
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47 | #define TIMING |
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48 | #include "timing.h" |
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49 | TIMING_DEFINE_PRINT( contentTimer ); |
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50 | TIMING_DEFINE_PRINT( algContentTimer ); |
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51 | TIMING_DEFINE_PRINT( algLcmTimer ); |
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52 | #else |
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53 | #define TIMING_START( timer ) |
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54 | #define TIMING_END( timer ) |
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55 | #endif |
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56 | |
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57 | #ifdef FACTORY_GCD_DEBOUT |
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58 | #include "longalg.h" |
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59 | #include "febase.h" |
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60 | // alg f |
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61 | #define FACTORY_ALGOUT( tag, f ) \ |
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62 | StringSetS( tag ); \ |
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63 | napWrite( f ); \ |
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64 | PrintS(StringAppend("\n")); |
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65 | // CanonicalForm f, represents transcendent extension |
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66 | #define FACTORY_CFTROUT( tag, f ) \ |
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67 | { \ |
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68 | alg F=convClapPSingTr( f ); \ |
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69 | StringSetS( tag ); \ |
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70 | napWrite( F ); \ |
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71 | PrintS(StringAppend("\n")); \ |
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72 | napDelete( &F ); \ |
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73 | } |
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74 | // CanonicalForm f, represents algebraic extension |
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75 | #define FACTORY_CFAOUT( tag, f ) \ |
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76 | { \ |
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77 | alg F=convClapASingA( f ); \ |
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78 | StringSetS( tag ); \ |
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79 | napWrite( F ); \ |
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80 | PrintS(StringAppend("\n")); \ |
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81 | napDelete( &F ); \ |
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82 | } |
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83 | #else |
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84 | #define FACTORY_ALGOUT( tag, f ) |
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85 | #define FACTORY_CFTROUT( tag, f ) |
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86 | #define FACTORY_CFAOUT( tag, f ) |
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87 | #endif |
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88 | |
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89 | poly singclap_gcd ( poly f, poly g ) |
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90 | { |
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91 | poly res=NULL; |
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92 | |
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93 | if (f) pCleardenom(f); |
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94 | if (g) pCleardenom(g); |
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95 | |
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96 | // for now there is only the possibility to handle polynomials over |
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97 | // Q and Fp ... |
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98 | if (( nGetChar() == 0 || nGetChar() > 1 ) |
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99 | && (currRing->parameter==NULL)) |
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100 | { |
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101 | setCharacteristic( nGetChar() ); |
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102 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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103 | res=convClapPSingP( gcd( F, G ) ); |
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104 | Off(SW_RATIONAL); |
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105 | } |
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106 | // and over Q(a) / Fp(a) |
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107 | else if (( nGetChar()==1 ) /* Q(a) */ |
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108 | || (nGetChar() <-1)) /* Fp(a) */ |
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109 | { |
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110 | if (nGetChar()==1) setCharacteristic( 0 ); |
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111 | else setCharacteristic( -nGetChar() ); |
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112 | if (currRing->minpoly!=NULL) |
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113 | { |
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114 | if ( nGetChar()==1 ) /* Q(a) */ |
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115 | { |
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116 | WerrorS( feNotImplemented ); |
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117 | } |
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118 | else |
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119 | { |
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120 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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121 | Variable a=rootOf(mipo); |
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122 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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123 | res= convClapAPSingAP( gcd( F, G ) ); |
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124 | } |
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125 | } |
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126 | else |
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127 | { |
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128 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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129 | res= convClapPSingTrP( gcd( F, G ) ); |
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130 | } |
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131 | Off(SW_RATIONAL); |
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132 | } |
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133 | #if 0 |
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134 | else if (( nGetChar()>1 )&&(currRing->parameter!=NULL)) /* GF(q) */ |
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135 | { |
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136 | int p=rChar(currRing); |
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137 | int n=2; |
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138 | int t=p*p; |
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139 | while (t!=nChar) { t*=p;n++; } |
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140 | setCharacteristic(p,n,'a'); |
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141 | CanonicalForm F( convSingGFClapGF( f ) ), G( convSingGFClapGF( g ) ); |
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142 | res= convClapGFSingGF( gcd( F, G ) ); |
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143 | } |
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144 | #endif |
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145 | else |
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146 | WerrorS( feNotImplemented ); |
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147 | |
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148 | pDelete(&f); |
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149 | pDelete(&g); |
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150 | return res; |
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151 | } |
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152 | |
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153 | poly singclap_resultant ( poly f, poly g , poly x) |
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154 | { |
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155 | int i=pIsPurePower(x); |
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156 | if (i==0) |
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157 | { |
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158 | WerrorS("3rd argument must be a ring variable"); |
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159 | return NULL; |
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160 | } |
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161 | // for now there is only the possibility to handle polynomials over |
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162 | // Q and Fp ... |
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163 | if (( nGetChar() == 0 || nGetChar() > 1 ) |
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164 | && (currRing->parameter==NULL)) |
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165 | { |
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166 | Variable X(i); |
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167 | setCharacteristic( nGetChar() ); |
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168 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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169 | poly res=convClapPSingP( resultant( F, G, X ) ); |
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170 | Off(SW_RATIONAL); |
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171 | return res; |
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172 | } |
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173 | // and over Q(a) / Fp(a) |
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174 | else if (( nGetChar()==1 ) /* Q(a) */ |
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175 | || (nGetChar() <-1)) /* Fp(a) */ |
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176 | { |
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177 | if (nGetChar()==1) setCharacteristic( 0 ); |
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178 | else setCharacteristic( -nGetChar() ); |
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179 | poly res; |
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180 | if (currRing->minpoly!=NULL) |
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181 | { |
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182 | Variable X(i); |
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183 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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184 | Variable a=rootOf(mipo); |
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185 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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186 | res= convClapAPSingAP( resultant( F, G, X ) ); |
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187 | } |
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188 | else |
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189 | { |
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190 | Variable X(i+rPar(currRing)); |
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191 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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192 | res= convClapPSingTrP( resultant( F, G, X ) ); |
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193 | } |
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194 | Off(SW_RATIONAL); |
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195 | return res; |
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196 | } |
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197 | else |
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198 | WerrorS( feNotImplemented ); |
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199 | return NULL; |
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200 | } |
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201 | //poly singclap_resultant ( poly f, poly g , poly x) |
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202 | //{ |
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203 | // int i=pVar(x); |
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204 | // if (i==0) |
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205 | // { |
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206 | // WerrorS("ringvar expected"); |
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207 | // return NULL; |
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208 | // } |
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209 | // ideal I=idInit(1,1); |
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210 | // |
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211 | // // get the coeffs von f wrt. x: |
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212 | // I->m[0]=pCopy(f); |
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213 | // matrix ffi=mpCoeffs(I,i); |
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214 | // ffi->rank=1; |
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215 | // ffi->ncols=ffi->nrows; |
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216 | // ffi->nrows=1; |
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217 | // ideal fi=(ideal)ffi; |
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218 | // |
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219 | // // get the coeffs von g wrt. x: |
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220 | // I->m[0]=pCopy(g); |
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221 | // matrix ggi=mpCoeffs(I,i); |
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222 | // ggi->rank=1; |
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223 | // ggi->ncols=ggi->nrows; |
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224 | // ggi->nrows=1; |
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225 | // ideal gi=(ideal)ggi; |
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226 | // |
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227 | // // contruct the matrix: |
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228 | // int fn=IDELEMS(fi); //= deg(f,x)+1 |
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229 | // int gn=IDELEMS(gi); //= deg(g,x)+1 |
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230 | // matrix m=mpNew(fn+gn-2,fn+gn-2); |
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231 | // if(m==NULL) |
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232 | // { |
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233 | // return NULL; |
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234 | // } |
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235 | // |
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236 | // // enter the coeffs into m: |
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237 | // int j; |
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238 | // for(i=0;i<gn-1;i++) |
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239 | // { |
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240 | // for(j=0;j<fn;j++) |
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241 | // { |
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242 | // MATELEM(m,i+1,fn-j+i)=pCopy(fi->m[j]); |
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243 | // } |
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244 | // } |
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245 | // for(i=0;i<fn-1;i++) |
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246 | // { |
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247 | // for(j=0;j<gn;j++) |
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248 | // { |
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249 | // MATELEM(m,gn+i,gn-j+i)=pCopy(gi->m[j]); |
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250 | // } |
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251 | // } |
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252 | // |
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253 | // poly r=mpDet(m); |
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254 | // |
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255 | // idDelete(&fi); |
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256 | // idDelete(&gi); |
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257 | // idDelete((ideal *)&m); |
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258 | // return r; |
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259 | //} |
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260 | |
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261 | lists singclap_extgcd ( poly f, poly g ) |
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262 | { |
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263 | // for now there is only the possibility to handle univariate |
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264 | // polynomials over |
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265 | // Q and Fp ... |
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266 | poly res=NULL,pa=NULL,pb=NULL; |
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267 | On(SW_SYMMETRIC_FF); |
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268 | if (( nGetChar() == 0 || nGetChar() > 1 ) |
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269 | && (currRing->parameter==NULL)) |
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270 | { |
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271 | setCharacteristic( nGetChar() ); |
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272 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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273 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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274 | { |
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275 | Off(SW_RATIONAL); |
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276 | WerrorS("not univariate"); |
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277 | return NULL; |
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278 | } |
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279 | CanonicalForm Fa,Gb; |
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280 | res=convClapPSingP( extgcd( F, G, Fa, Gb ) ); |
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281 | pa=convClapPSingP(Fa); |
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282 | pb=convClapPSingP(Gb); |
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283 | Off(SW_RATIONAL); |
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284 | } |
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285 | // and over Q(a) / Fp(a) |
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286 | else if (( nGetChar()==1 ) /* Q(a) */ |
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287 | || (nGetChar() <-1)) /* Fp(a) */ |
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288 | { |
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289 | if (nGetChar()==1) setCharacteristic( 0 ); |
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290 | else setCharacteristic( -nGetChar() ); |
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291 | CanonicalForm Fa,Gb; |
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292 | if (currRing->minpoly!=NULL) |
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293 | { |
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294 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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295 | Variable a=rootOf(mipo); |
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296 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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297 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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298 | { |
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299 | WerrorS("not univariate"); |
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300 | return NULL; |
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301 | } |
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302 | res= convClapAPSingAP( extgcd( F, G, Fa, Gb ) ); |
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303 | pa=convClapAPSingAP(Fa); |
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304 | pb=convClapAPSingAP(Gb); |
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305 | } |
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306 | else |
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307 | { |
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308 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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309 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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310 | { |
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311 | Off(SW_RATIONAL); |
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312 | WerrorS("not univariate"); |
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313 | return NULL; |
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314 | } |
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315 | res= convClapPSingTrP( extgcd( F, G, Fa, Gb ) ); |
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316 | pa=convClapPSingTrP(Fa); |
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317 | pb=convClapPSingTrP(Gb); |
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318 | } |
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319 | Off(SW_RATIONAL); |
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320 | } |
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321 | else |
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322 | { |
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323 | WerrorS( feNotImplemented ); |
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324 | return NULL; |
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325 | } |
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326 | lists L=(lists)Alloc(sizeof(slists)); |
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327 | L->Init(3); |
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328 | L->m[0].rtyp=POLY_CMD; |
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329 | L->m[0].data=(void *)res; |
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330 | L->m[1].rtyp=POLY_CMD; |
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331 | L->m[1].data=(void *)pa; |
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332 | L->m[2].rtyp=POLY_CMD; |
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333 | L->m[2].data=(void *)pb; |
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334 | return L; |
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335 | } |
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336 | |
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337 | poly singclap_pdivide ( poly f, poly g ) |
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338 | { |
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339 | // for now there is only the possibility to handle polynomials over |
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340 | // Q and Fp ... |
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341 | poly res=NULL; |
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342 | On(SW_RATIONAL); |
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343 | if (( nGetChar() == 0 || nGetChar() > 1 ) |
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344 | && (currRing->parameter==NULL)) |
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345 | { |
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346 | setCharacteristic( nGetChar() ); |
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347 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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348 | res = convClapPSingP( F / G ); |
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349 | } |
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350 | // and over Q(a) / Fp(a) |
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351 | else if (( nGetChar()==1 ) /* Q(a) */ |
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352 | || (nGetChar() <-1)) /* Fp(a) */ |
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353 | { |
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354 | if (nGetChar()==1) setCharacteristic( 0 ); |
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355 | else setCharacteristic( -nGetChar() ); |
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356 | if (currRing->minpoly!=NULL) |
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357 | { |
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358 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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359 | Variable a=rootOf(mipo); |
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360 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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361 | res= convClapAPSingAP( F / G ); |
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362 | } |
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363 | else |
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364 | { |
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365 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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366 | res= convClapPSingTrP( F / G ); |
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367 | } |
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368 | } |
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369 | else |
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370 | WerrorS( feNotImplemented ); |
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371 | Off(SW_RATIONAL); |
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372 | return res; |
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373 | } |
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374 | |
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375 | void singclap_divide_content ( poly f ) |
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376 | { |
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377 | if ( nGetChar() == 1 ) |
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378 | setCharacteristic( 0 ); |
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379 | else if ( nGetChar() == -1 ) |
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380 | return; /* not implemented for R */ |
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381 | else if ( nGetChar() < 0 ) |
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382 | setCharacteristic( -nGetChar() ); |
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383 | else if (currRing->parameter==NULL) /* not GF(q) */ |
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384 | setCharacteristic( nGetChar() ); |
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385 | else |
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386 | return; /* not implemented*/ |
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387 | if ( f==NULL ) |
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388 | { |
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389 | return; |
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390 | } |
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391 | else if ( pNext( f ) == NULL ) |
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392 | { |
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393 | pSetCoeff( f, nInit( 1 ) ); |
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394 | return; |
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395 | } |
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396 | else |
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397 | { |
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398 | CFList L; |
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399 | CanonicalForm g, h; |
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400 | poly p = pNext(f); |
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401 | nTest(pGetCoeff(f)); |
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402 | FACTORY_ALGOUT( "G = ", (((lnumber)pGetCoeff(f))->z) ); |
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403 | g = convSingTrClapP( ((lnumber)pGetCoeff(f))->z ); |
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404 | L.append( g ); |
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405 | TIMING_START( contentTimer ); |
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406 | while ( (p != NULL) && (g != 1) ) |
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407 | { |
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408 | nTest(pGetCoeff(p)); |
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409 | FACTORY_ALGOUT( "h = ", (((lnumber)pGetCoeff(p))->z) ); |
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410 | h = convSingTrClapP( ((lnumber)pGetCoeff(p))->z ); |
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411 | p = pNext( p ); |
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412 | #ifdef FACTORY_GCD_STAT |
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413 | fprintf( stderr, "cont:\t" ); |
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414 | #endif |
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415 | #ifdef FACTORY_GCD_TEST |
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416 | g = CFPrimitiveGcdUtil::gcd( g, h ); |
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417 | #else |
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418 | g = gcd( g, h ); |
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419 | #endif |
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420 | FACTORY_CFTROUT( "g = ", g ); |
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421 | L.append( h ); |
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422 | } |
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423 | TIMING_END( contentTimer ); |
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424 | FACTORY_CFTROUT( "C = ", g ); |
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425 | if ( g == 1 ) |
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426 | { |
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427 | pTest(f); |
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428 | return; |
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429 | } |
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430 | #ifdef LDEBUG |
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431 | else if ( g == 0 ) |
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432 | { |
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433 | pTest(f); |
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434 | pWrite(f); |
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435 | PrintS("=> gcd 0 in divide_content\n"); |
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436 | return; |
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437 | } |
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438 | #endif |
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439 | else |
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440 | { |
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441 | CFListIterator i; |
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442 | for ( i = L, p = f; i.hasItem(); i++, p=pNext(p) ) |
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443 | { |
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444 | lnumber c=(lnumber)pGetCoeff(p); |
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445 | napDelete(&c->z); |
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446 | #ifdef LDEBUG |
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447 | number nt=(number)Alloc0(sizeof(rnumber)); |
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448 | lnumber nnt=(lnumber)nt; |
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449 | nnt->z=convClapPSingTr( i.getItem()); |
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450 | nTest(nt); |
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451 | #endif |
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452 | c->z=convClapPSingTr( i.getItem() / g ); |
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453 | nTest((number)c); |
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454 | //#ifdef LDEBUG |
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455 | //number cn=(number)c; |
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456 | //StringSet(""); nWrite(nt); StringAppend(" ==> "); |
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457 | //nWrite(cn);PrintS(StringAppend("\n")); |
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458 | //#endif |
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459 | } |
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460 | } |
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461 | pTest(f); |
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462 | } |
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463 | } |
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464 | |
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465 | ideal singclap_factorize ( poly f, intvec ** v , int with_exps) |
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466 | { |
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467 | // with_exps: 1 return only true factors |
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468 | // 2 return true factors and exponents |
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469 | // 0 return factors and exponents |
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470 | |
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471 | ideal res=NULL; |
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472 | if (f==NULL) |
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473 | { |
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474 | res=idInit(1,1); |
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475 | if (with_exps!=1) |
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476 | { |
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477 | (*v)=new intvec(1); |
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478 | (*v)[1]=1; |
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479 | } |
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480 | return res; |
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481 | } |
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482 | Off(SW_RATIONAL); |
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483 | On(SW_SYMMETRIC_FF); |
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484 | CFFList L; |
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485 | number N=NULL; |
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486 | |
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487 | if (( (nGetChar() == 0) || (nGetChar() > 1) ) |
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488 | && (currRing->parameter==NULL)) |
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489 | { |
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490 | setCharacteristic( nGetChar() ); |
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491 | if (nGetChar()==0) /* Q */ |
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492 | { |
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493 | if (f!=NULL) |
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494 | { |
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495 | if (with_exps==0) |
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496 | N=nCopy(pGetCoeff(f)); |
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497 | pCleardenom(f); |
---|
498 | if (with_exps==0) |
---|
499 | { |
---|
500 | number nn=nDiv(N,pGetCoeff(f)); |
---|
501 | nDelete(&N); |
---|
502 | N=nn; |
---|
503 | } |
---|
504 | } |
---|
505 | } |
---|
506 | CanonicalForm F( convSingPClapP( f ) ); |
---|
507 | if (nGetChar()==0) /* Q */ |
---|
508 | { |
---|
509 | L = factorize( F ); |
---|
510 | } |
---|
511 | else /* Fp */ |
---|
512 | { |
---|
513 | #ifdef HAVE_LIBFAC_P |
---|
514 | L = Factorize( F ); |
---|
515 | #else |
---|
516 | return NULL; |
---|
517 | #endif |
---|
518 | } |
---|
519 | } |
---|
520 | // and over Q(a) / Fp(a) |
---|
521 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
522 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
523 | { |
---|
524 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
525 | else setCharacteristic( -nGetChar() ); |
---|
526 | if (currRing->minpoly!=NULL) |
---|
527 | { |
---|
528 | //if (nGetChar()==1) |
---|
529 | //{ |
---|
530 | // WerrorS( feNotImplemented ); |
---|
531 | // return NULL; |
---|
532 | //} |
---|
533 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
534 | Variable a=rootOf(mipo); |
---|
535 | CanonicalForm F( convSingAPClapAP( f,a ) ); |
---|
536 | L = factorize( F, a ); |
---|
537 | } |
---|
538 | else |
---|
539 | { |
---|
540 | CanonicalForm F( convSingTrPClapP( f ) ); |
---|
541 | if (nGetChar()==1) /* Q(a) */ |
---|
542 | { |
---|
543 | L = factorize( F ); |
---|
544 | } |
---|
545 | else /* Fp(a) */ |
---|
546 | { |
---|
547 | #ifdef HAVE_LIBFAC_P |
---|
548 | L = Factorize( F ); |
---|
549 | #else |
---|
550 | return NULL; |
---|
551 | #endif |
---|
552 | } |
---|
553 | } |
---|
554 | } |
---|
555 | else |
---|
556 | { |
---|
557 | WerrorS( feNotImplemented ); |
---|
558 | goto end; |
---|
559 | } |
---|
560 | { |
---|
561 | // the first factor should be a constant |
---|
562 | if ( ! L.getFirst().factor().inCoeffDomain() ) |
---|
563 | L.insert(CFFactor(1,1)); |
---|
564 | // convert into ideal |
---|
565 | int n = L.length(); |
---|
566 | CFFListIterator J=L; |
---|
567 | int j=0; |
---|
568 | if (with_exps!=1) |
---|
569 | { |
---|
570 | if ((with_exps==2)&&(n>1)) |
---|
571 | { |
---|
572 | n--; |
---|
573 | J++; |
---|
574 | } |
---|
575 | *v = new intvec( n ); |
---|
576 | } |
---|
577 | res = idInit( n ,1); |
---|
578 | for ( ; J.hasItem(); J++, j++ ) |
---|
579 | { |
---|
580 | if (with_exps!=1) (**v)[j] = J.getItem().exp(); |
---|
581 | if ((nGetChar()==0)||(nGetChar()>1)) /* Q, Fp */ |
---|
582 | res->m[j] = convClapPSingP( J.getItem().factor() ); |
---|
583 | else if ((nGetChar()==1)||(nGetChar()<-1)) /* Q(a), Fp(a) */ |
---|
584 | { |
---|
585 | if (currRing->minpoly==NULL) |
---|
586 | res->m[j] = convClapPSingTrP( J.getItem().factor() ); |
---|
587 | else |
---|
588 | res->m[j] = convClapAPSingAP( J.getItem().factor() ); |
---|
589 | } |
---|
590 | } |
---|
591 | if (N!=NULL) |
---|
592 | { |
---|
593 | pMultN(res->m[0],N); |
---|
594 | nDelete(&N); |
---|
595 | } |
---|
596 | // delete constants |
---|
597 | if ((with_exps!=0) && (res!=NULL)) |
---|
598 | { |
---|
599 | int i=IDELEMS(res)-1; |
---|
600 | int j=0; |
---|
601 | for(;i>=0;i--) |
---|
602 | { |
---|
603 | if (pIsConstant(res->m[i])) |
---|
604 | { |
---|
605 | pDelete(&(res->m[i])); |
---|
606 | if ((v!=NULL) && ((*v)!=NULL)) |
---|
607 | (**v)[i]=0; |
---|
608 | j++; |
---|
609 | } |
---|
610 | } |
---|
611 | if (j>0) |
---|
612 | { |
---|
613 | idSkipZeroes(res); |
---|
614 | if ((v!=NULL) && ((*v)!=NULL)) |
---|
615 | { |
---|
616 | intvec *w=*v; |
---|
617 | *v = new intvec( max(n-j,1) ); |
---|
618 | for (i=0,j=0;i<w->length();i++) |
---|
619 | { |
---|
620 | if((*w)[i]!=0) |
---|
621 | { |
---|
622 | (**v)[j]=(*w)[i]; j++; |
---|
623 | } |
---|
624 | } |
---|
625 | delete w; |
---|
626 | } |
---|
627 | } |
---|
628 | if (res->m[0]==NULL) |
---|
629 | { |
---|
630 | res->m[0]=pOne(); |
---|
631 | } |
---|
632 | } |
---|
633 | } |
---|
634 | end: |
---|
635 | return res; |
---|
636 | } |
---|
637 | |
---|
638 | matrix singclap_irrCharSeries ( ideal I) |
---|
639 | { |
---|
640 | #ifdef HAVE_LIBFAC_P |
---|
641 | // for now there is only the possibility to handle polynomials over |
---|
642 | // Q and Fp ... |
---|
643 | matrix res=NULL; |
---|
644 | int i; |
---|
645 | Off(SW_RATIONAL); |
---|
646 | On(SW_SYMMETRIC_FF); |
---|
647 | CFList L; |
---|
648 | ListCFList LL; |
---|
649 | if (((nGetChar() == 0) || (nGetChar() > 1) ) |
---|
650 | && (currRing->parameter==NULL)) |
---|
651 | { |
---|
652 | setCharacteristic( nGetChar() ); |
---|
653 | for(i=0;i<IDELEMS(I);i++) |
---|
654 | { |
---|
655 | L.append(convSingPClapP(I->m[i])); |
---|
656 | } |
---|
657 | } |
---|
658 | // and over Q(a) / Fp(a) |
---|
659 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
660 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
661 | { |
---|
662 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
663 | else setCharacteristic( -nGetChar() ); |
---|
664 | for(i=0;i<IDELEMS(I);i++) |
---|
665 | { |
---|
666 | L.append(convSingTrPClapP(I->m[i])); |
---|
667 | } |
---|
668 | } |
---|
669 | else |
---|
670 | { |
---|
671 | WerrorS( feNotImplemented ); |
---|
672 | return res; |
---|
673 | } |
---|
674 | |
---|
675 | LL=IrrCharSeries(L); |
---|
676 | int m= LL.length(); // Anzahl Zeilen |
---|
677 | int n=0; |
---|
678 | ListIterator<CFList> LLi; |
---|
679 | CFListIterator Li; |
---|
680 | for ( LLi = LL; LLi.hasItem(); LLi++ ) |
---|
681 | { |
---|
682 | n = max(LLi.getItem().length(),n); |
---|
683 | } |
---|
684 | res=mpNew(m,n); |
---|
685 | if ((m==0) || (n==0)) |
---|
686 | { |
---|
687 | Warn("char_series returns %d x %d matrix from %d input polys (%d)\n",m,n,IDELEMS(I)+1,LL.length()); |
---|
688 | iiWriteMatrix((matrix)I,"I",2,0); |
---|
689 | } |
---|
690 | for ( m=1, LLi = LL; LLi.hasItem(); LLi++, m++ ) |
---|
691 | { |
---|
692 | for (n=1, Li = LLi.getItem(); Li.hasItem(); Li++, n++) |
---|
693 | { |
---|
694 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
---|
695 | MATELEM(res,m,n)=convClapPSingP(Li.getItem()); |
---|
696 | else |
---|
697 | MATELEM(res,m,n)=convClapPSingTrP(Li.getItem()); |
---|
698 | } |
---|
699 | } |
---|
700 | Off(SW_RATIONAL); |
---|
701 | return res; |
---|
702 | #else |
---|
703 | return NULL; |
---|
704 | #endif |
---|
705 | } |
---|
706 | |
---|
707 | char* singclap_neworder ( ideal I) |
---|
708 | { |
---|
709 | #ifdef HAVE_LIBFAC_P |
---|
710 | int i; |
---|
711 | Off(SW_RATIONAL); |
---|
712 | On(SW_SYMMETRIC_FF); |
---|
713 | CFList L; |
---|
714 | if (((nGetChar() == 0) || (nGetChar() > 1) ) |
---|
715 | && (currRing->parameter==NULL)) |
---|
716 | { |
---|
717 | setCharacteristic( nGetChar() ); |
---|
718 | for(i=0;i<IDELEMS(I);i++) |
---|
719 | { |
---|
720 | L.append(convSingPClapP(I->m[i])); |
---|
721 | } |
---|
722 | } |
---|
723 | // and over Q(a) / Fp(a) |
---|
724 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
725 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
726 | { |
---|
727 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
728 | else setCharacteristic( -nGetChar() ); |
---|
729 | for(i=0;i<IDELEMS(I);i++) |
---|
730 | { |
---|
731 | L.append(convSingTrPClapP(I->m[i])); |
---|
732 | } |
---|
733 | } |
---|
734 | else |
---|
735 | { |
---|
736 | WerrorS( feNotImplemented ); |
---|
737 | return NULL; |
---|
738 | } |
---|
739 | |
---|
740 | List<int> IL=neworderint(L); |
---|
741 | ListIterator<int> Li; |
---|
742 | StringSet(""); |
---|
743 | Li = IL; |
---|
744 | int* mark=(int*)Alloc0(pVariables*sizeof(int)); |
---|
745 | int cnt=pVariables; |
---|
746 | loop |
---|
747 | { |
---|
748 | i=Li.getItem()-1; |
---|
749 | mark[i]=1; |
---|
750 | StringAppend(currRing->names[i]); |
---|
751 | Li++; |
---|
752 | cnt--; |
---|
753 | if(cnt==0) break; |
---|
754 | StringAppend(","); |
---|
755 | if(! Li.hasItem()) break; |
---|
756 | } |
---|
757 | for(i=0;i<pVariables;i++) |
---|
758 | { |
---|
759 | if(mark[i]==0) |
---|
760 | { |
---|
761 | StringAppend(currRing->names[i]); |
---|
762 | cnt--; |
---|
763 | if(cnt==0) break; |
---|
764 | StringAppend(","); |
---|
765 | } |
---|
766 | } |
---|
767 | return mstrdup(StringAppend("")); |
---|
768 | #else |
---|
769 | return NULL; |
---|
770 | #endif |
---|
771 | } |
---|
772 | |
---|
773 | BOOLEAN singclap_isSqrFree(poly f) |
---|
774 | { |
---|
775 | BOOLEAN b=FALSE; |
---|
776 | Off(SW_RATIONAL); |
---|
777 | // Q / Fp |
---|
778 | if (((nGetChar() == 0) || (nGetChar() > 1) ) |
---|
779 | &&(currRing->parameter==NULL)) |
---|
780 | { |
---|
781 | setCharacteristic( nGetChar() ); |
---|
782 | CanonicalForm F( convSingPClapP( f ) ); |
---|
783 | if((nGetChar()>1)&&(!F.isUnivariate())) |
---|
784 | goto err; |
---|
785 | b=(BOOLEAN)isSqrFree(F); |
---|
786 | } |
---|
787 | // and over Q(a) / Fp(a) |
---|
788 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
789 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
790 | { |
---|
791 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
792 | else setCharacteristic( -nGetChar() ); |
---|
793 | //if (currRing->minpoly!=NULL) |
---|
794 | //{ |
---|
795 | // CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
796 | // Variable a=rootOf(mipo); |
---|
797 | // CanonicalForm F( convSingAPClapAP( f,a ) ); |
---|
798 | // ... |
---|
799 | //} |
---|
800 | //else |
---|
801 | { |
---|
802 | CanonicalForm F( convSingTrPClapP( f ) ); |
---|
803 | b=(BOOLEAN)isSqrFree(F); |
---|
804 | } |
---|
805 | Off(SW_RATIONAL); |
---|
806 | } |
---|
807 | else |
---|
808 | { |
---|
809 | err: |
---|
810 | WerrorS( feNotImplemented ); |
---|
811 | } |
---|
812 | return b; |
---|
813 | } |
---|
814 | |
---|
815 | poly singclap_det( const matrix m ) |
---|
816 | { |
---|
817 | int r=m->rows(); |
---|
818 | if (r!=m->cols()) |
---|
819 | { |
---|
820 | Werror("det of %d x %d matrix",r,m->cols()); |
---|
821 | return NULL; |
---|
822 | } |
---|
823 | poly res=NULL; |
---|
824 | if (( nGetChar() == 0 || nGetChar() > 1 ) |
---|
825 | && (currRing->parameter==NULL)) |
---|
826 | { |
---|
827 | setCharacteristic( nGetChar() ); |
---|
828 | CFMatrix M(r,r); |
---|
829 | int i,j; |
---|
830 | for(i=r;i>0;i--) |
---|
831 | { |
---|
832 | for(j=r;j>0;j--) |
---|
833 | { |
---|
834 | M(i,j)=convSingPClapP(MATELEM(m,i,j)); |
---|
835 | } |
---|
836 | } |
---|
837 | res= convClapPSingP( determinant(M,r) ) ; |
---|
838 | } |
---|
839 | // and over Q(a) / Fp(a) |
---|
840 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
841 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
842 | { |
---|
843 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
844 | else setCharacteristic( -nGetChar() ); |
---|
845 | CFMatrix M(r,r); |
---|
846 | poly res; |
---|
847 | if (currRing->minpoly!=NULL) |
---|
848 | { |
---|
849 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
850 | Variable a=rootOf(mipo); |
---|
851 | int i,j; |
---|
852 | for(i=r;i>0;i--) |
---|
853 | { |
---|
854 | for(j=r;j>0;j--) |
---|
855 | { |
---|
856 | M(i,j)=convSingAPClapAP(MATELEM(m,i,j),a); |
---|
857 | } |
---|
858 | } |
---|
859 | res= convClapAPSingAP( determinant(M,r) ) ; |
---|
860 | } |
---|
861 | else |
---|
862 | { |
---|
863 | int i,j; |
---|
864 | for(i=r;i>0;i--) |
---|
865 | { |
---|
866 | for(j=r;j>0;j--) |
---|
867 | { |
---|
868 | M(i,j)=convSingTrPClapP(MATELEM(m,i,j)); |
---|
869 | } |
---|
870 | } |
---|
871 | res= convClapPSingTrP( determinant(M,r) ); |
---|
872 | } |
---|
873 | } |
---|
874 | else |
---|
875 | WerrorS( feNotImplemented ); |
---|
876 | Off(SW_RATIONAL); |
---|
877 | return res; |
---|
878 | } |
---|
879 | |
---|
880 | int singclap_det_i( intvec * m ) |
---|
881 | { |
---|
882 | setCharacteristic( 0 ); |
---|
883 | CFMatrix M(m->rows(),m->cols()); |
---|
884 | int i,j; |
---|
885 | for(i=m->rows();i>0;i--) |
---|
886 | { |
---|
887 | for(j=m->cols();j>0;j--) |
---|
888 | { |
---|
889 | M(i,j)=IMATELEM(*m,i,j); |
---|
890 | } |
---|
891 | } |
---|
892 | int res= convClapISingI( determinant(M,m->rows())) ; |
---|
893 | Off(SW_RATIONAL); |
---|
894 | return res; |
---|
895 | } |
---|
896 | /*==============================================================*/ |
---|
897 | /* interpreter interface : */ |
---|
898 | BOOLEAN jjGCD_P(leftv res, leftv u, leftv v) |
---|
899 | { |
---|
900 | res->data=(void *)singclap_gcd((poly)(u->CopyD()),((poly)v->CopyD())); |
---|
901 | return FALSE; |
---|
902 | } |
---|
903 | |
---|
904 | BOOLEAN jjFAC_P(leftv res, leftv u) |
---|
905 | { |
---|
906 | intvec *v=NULL; |
---|
907 | ideal f=singclap_factorize((poly)(u->Data()), &v, 0); |
---|
908 | #ifndef HAVE_LIBFAC_P |
---|
909 | if (f==NULL) return TRUE; |
---|
910 | #endif |
---|
911 | lists l=(lists)Alloc(sizeof(slists)); |
---|
912 | l->Init(2); |
---|
913 | l->m[0].rtyp=IDEAL_CMD; |
---|
914 | l->m[0].data=(void *)f; |
---|
915 | l->m[1].rtyp=INTVEC_CMD; |
---|
916 | l->m[1].data=(void *)v; |
---|
917 | res->data=(void *)l; |
---|
918 | return FALSE; |
---|
919 | } |
---|
920 | |
---|
921 | BOOLEAN jjSQR_FREE_DEC(leftv res, leftv u,leftv dummy) |
---|
922 | { |
---|
923 | intvec *v=NULL; |
---|
924 | int sw=(int)dummy->Data(); |
---|
925 | ideal f=singclap_factorize((poly)(u->Data()), &v, sw); |
---|
926 | switch(sw) |
---|
927 | { |
---|
928 | case 0: |
---|
929 | case 2: |
---|
930 | { |
---|
931 | lists l=(lists)Alloc(sizeof(slists)); |
---|
932 | l->Init(2); |
---|
933 | l->m[0].rtyp=IDEAL_CMD; |
---|
934 | l->m[0].data=(void *)f; |
---|
935 | l->m[1].rtyp=INTVEC_CMD; |
---|
936 | l->m[1].data=(void *)v; |
---|
937 | res->data=(void *)l; |
---|
938 | res->rtyp=LIST_CMD; |
---|
939 | return FALSE; |
---|
940 | } |
---|
941 | case 1: |
---|
942 | res->data=(void *)f; |
---|
943 | return f==NULL; |
---|
944 | } |
---|
945 | WerrorS("invalid switch"); |
---|
946 | return TRUE; |
---|
947 | } |
---|
948 | |
---|
949 | #if 0 |
---|
950 | BOOLEAN jjIS_SQR_FREE(leftv res, leftv u) |
---|
951 | { |
---|
952 | BOOLEAN b=singclap_factorize((poly)(u->Data()), &v, 0); |
---|
953 | res->data=(void *)b; |
---|
954 | } |
---|
955 | #endif |
---|
956 | |
---|
957 | BOOLEAN jjEXTGCD_P(leftv res, leftv u, leftv v) |
---|
958 | { |
---|
959 | res->data=singclap_extgcd((poly)u->Data(),(poly)v->Data()); |
---|
960 | return (res->data==NULL); |
---|
961 | } |
---|
962 | BOOLEAN jjRESULTANT(leftv res, leftv u, leftv v, leftv w) |
---|
963 | { |
---|
964 | res->data=singclap_resultant((poly)u->Data(),(poly)v->Data(), (poly)w->Data()); |
---|
965 | return errorreported; |
---|
966 | } |
---|
967 | BOOLEAN jjCHARSERIES(leftv res, leftv u) |
---|
968 | { |
---|
969 | res->data=singclap_irrCharSeries((ideal)u->Data()); |
---|
970 | return (res->data==NULL); |
---|
971 | } |
---|
972 | |
---|
973 | alg singclap_alglcm ( alg f, alg g ) |
---|
974 | { |
---|
975 | FACTORY_ALGOUT( "f = ", f ); |
---|
976 | FACTORY_ALGOUT( "g = ", g ); |
---|
977 | |
---|
978 | // over Q(a) / Fp(a) |
---|
979 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
980 | else setCharacteristic( -nGetChar() ); |
---|
981 | alg res; |
---|
982 | |
---|
983 | #ifdef FACTORY_GCD_STAT |
---|
984 | fprintf( stderr, "algLcm:\t" ); |
---|
985 | #endif |
---|
986 | |
---|
987 | if (currRing->minpoly!=NULL) |
---|
988 | { |
---|
989 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
990 | Variable a=rootOf(mipo); |
---|
991 | CanonicalForm F( convSingAClapA( f,a ) ), G( convSingAClapA( g,a ) ); |
---|
992 | CanonicalForm GCD; |
---|
993 | |
---|
994 | TIMING_START( algLcmTimer ); |
---|
995 | // calculate gcd |
---|
996 | #ifdef FACTORY_GCD_TEST |
---|
997 | GCD = CFPrimitiveGcdUtil::gcd( F, G ); |
---|
998 | #else |
---|
999 | GCD = gcd( F, G ); |
---|
1000 | #endif |
---|
1001 | TIMING_END( algLcmTimer ); |
---|
1002 | |
---|
1003 | FACTORY_CFAOUT( "gcd = ", GCD ); |
---|
1004 | |
---|
1005 | // calculate lcm |
---|
1006 | res= convClapASingA( (F/GCD)*G ); |
---|
1007 | } |
---|
1008 | else |
---|
1009 | { |
---|
1010 | CanonicalForm F( convSingTrClapP( f ) ), G( convSingTrClapP( g ) ); |
---|
1011 | CanonicalForm GCD; |
---|
1012 | TIMING_START( algLcmTimer ); |
---|
1013 | // calculate gcd |
---|
1014 | #ifdef FACTORY_GCD_TEST |
---|
1015 | GCD = CFPrimitiveGcdUtil::gcd( F, G ); |
---|
1016 | #else |
---|
1017 | GCD = gcd( F, G ); |
---|
1018 | #endif |
---|
1019 | TIMING_END( algLcmTimer ); |
---|
1020 | |
---|
1021 | FACTORY_CFTROUT( "gcd = ", GCD ); |
---|
1022 | |
---|
1023 | // calculate lcm |
---|
1024 | res= convClapPSingTr( (F/GCD)*G ); |
---|
1025 | } |
---|
1026 | |
---|
1027 | Off(SW_RATIONAL); |
---|
1028 | return res; |
---|
1029 | } |
---|
1030 | |
---|
1031 | void singclap_algdividecontent ( alg f, alg g, alg &ff, alg &gg ) |
---|
1032 | { |
---|
1033 | FACTORY_ALGOUT( "f = ", f ); |
---|
1034 | FACTORY_ALGOUT( "g = ", g ); |
---|
1035 | |
---|
1036 | // over Q(a) / Fp(a) |
---|
1037 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
1038 | else setCharacteristic( -nGetChar() ); |
---|
1039 | ff=gg=NULL; |
---|
1040 | |
---|
1041 | #ifdef FACTORY_GCD_STAT |
---|
1042 | fprintf( stderr, "alCont:\t" ); |
---|
1043 | #endif |
---|
1044 | |
---|
1045 | if (currRing->minpoly!=NULL) |
---|
1046 | { |
---|
1047 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
1048 | Variable a=rootOf(mipo); |
---|
1049 | CanonicalForm F( convSingAClapA( f,a ) ), G( convSingAClapA( g,a ) ); |
---|
1050 | CanonicalForm GCD; |
---|
1051 | |
---|
1052 | TIMING_START( algContentTimer ); |
---|
1053 | #ifdef FACTORY_GCD_TEST |
---|
1054 | GCD=CFPrimitiveGcdUtil::gcd( F, G ); |
---|
1055 | #else |
---|
1056 | GCD=gcd( F, G ); |
---|
1057 | #endif |
---|
1058 | TIMING_END( algContentTimer ); |
---|
1059 | |
---|
1060 | FACTORY_CFAOUT( "gcd = ", GCD ); |
---|
1061 | |
---|
1062 | if (GCD!=1) |
---|
1063 | { |
---|
1064 | ff= convClapASingA( F/ GCD ); |
---|
1065 | gg= convClapASingA( G/ GCD ); |
---|
1066 | } |
---|
1067 | } |
---|
1068 | else |
---|
1069 | { |
---|
1070 | CanonicalForm F( convSingTrClapP( f ) ), G( convSingTrClapP( g ) ); |
---|
1071 | CanonicalForm GCD; |
---|
1072 | |
---|
1073 | TIMING_START( algContentTimer ); |
---|
1074 | #ifdef FACTORY_GCD_TEST |
---|
1075 | GCD=CFPrimitiveGcdUtil::gcd( F, G ); |
---|
1076 | #else |
---|
1077 | GCD=gcd( F, G ); |
---|
1078 | #endif |
---|
1079 | TIMING_END( algContentTimer ); |
---|
1080 | |
---|
1081 | FACTORY_CFTROUT( "gcd = ", GCD ); |
---|
1082 | |
---|
1083 | if (GCD!=1) |
---|
1084 | { |
---|
1085 | ff= convClapPSingTr( F/ GCD ); |
---|
1086 | gg= convClapPSingTr( G/ GCD ); |
---|
1087 | } |
---|
1088 | } |
---|
1089 | |
---|
1090 | Off(SW_RATIONAL); |
---|
1091 | } |
---|
1092 | #endif |
---|