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 1.3 1997-04-09 12:19:40 Singular 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 | |
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11 | #include "mod2.h" |
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12 | #ifdef HAVE_LIBFACTORY |
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13 | #define SI_DONT_HAVE_GLOBAL_VARS |
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14 | #include "tok.h" |
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15 | #include "clapsing.h" |
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16 | #include "ipid.h" |
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17 | #include "numbers.h" |
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18 | #include "subexpr.h" |
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19 | #include "ipshell.h" |
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20 | #include <singfactory.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 | |
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26 | poly singclap_gcd ( poly f, poly g ) |
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27 | { |
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28 | // for now there is only the possibility to handle polynomials over |
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29 | // Q and Fp ... |
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30 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
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31 | { |
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32 | setCharacteristic( nGetChar() ); |
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33 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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34 | poly res=convClapPSingP( gcd( F, G ) ); |
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35 | Off(SW_RATIONAL); |
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36 | return res; |
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37 | } |
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38 | // and over Q(a) / Fp(a) |
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39 | else if (( nGetChar()==1 ) /* Q(a) */ |
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40 | || (nGetChar() <-1)) /* Fp(a) */ |
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41 | { |
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42 | if (nGetChar()==1) setCharacteristic( 0 ); |
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43 | else setCharacteristic( -nGetChar() ); |
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44 | poly res; |
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45 | if (currRing->minpoly!=NULL) |
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46 | { |
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47 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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48 | Variable a=rootOf(mipo); |
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49 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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50 | res= convClapAPSingAP( gcd( F, G ) ); |
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51 | } |
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52 | else |
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53 | { |
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54 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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55 | res= convClapPSingTrP( gcd( F, G ) ); |
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56 | } |
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57 | Off(SW_RATIONAL); |
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58 | return res; |
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59 | } |
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60 | else |
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61 | WerrorS( "not implemented" ); |
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62 | return NULL; |
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63 | } |
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64 | |
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65 | poly singclap_resultant ( poly f, poly g , poly x) |
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66 | { |
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67 | int i=pIsPurePower(x); |
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68 | if (i==0) |
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69 | { |
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70 | WerrorS("3rd argument must be a ring variable"); |
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71 | return NULL; |
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72 | } |
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73 | Variable X(i); |
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74 | // for now there is only the possibility to handle polynomials over |
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75 | // Q and Fp ... |
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76 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
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77 | { |
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78 | setCharacteristic( nGetChar() ); |
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79 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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80 | poly res=convClapPSingP( resultant( F, G, X ) ); |
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81 | Off(SW_RATIONAL); |
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82 | return res; |
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83 | } |
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84 | // and over Q(a) / Fp(a) |
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85 | else if (( nGetChar()==1 ) /* Q(a) */ |
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86 | || (nGetChar() <-1)) /* Fp(a) */ |
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87 | { |
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88 | if (nGetChar()==1) setCharacteristic( 0 ); |
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89 | else setCharacteristic( -nGetChar() ); |
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90 | poly res; |
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91 | if (currRing->minpoly!=NULL) |
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92 | { |
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93 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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94 | Variable a=rootOf(mipo); |
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95 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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96 | res= convClapAPSingAP( resultant( F, G, X ) ); |
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97 | } |
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98 | else |
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99 | { |
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100 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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101 | res= convClapPSingTrP( resultant( F, G, X ) ); |
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102 | } |
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103 | Off(SW_RATIONAL); |
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104 | return res; |
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105 | } |
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106 | else |
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107 | WerrorS( "not implemented" ); |
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108 | return NULL; |
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109 | } |
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110 | |
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111 | lists singclap_extgcd ( poly f, poly g ) |
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112 | { |
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113 | // for now there is only the possibility to handle univariate |
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114 | // polynomials over |
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115 | // Q and Fp ... |
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116 | poly res=NULL,pa=NULL,pb=NULL; |
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117 | On(SW_SYMMETRIC_FF); |
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118 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
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119 | { |
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120 | setCharacteristic( nGetChar() ); |
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121 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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122 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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123 | { |
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124 | Off(SW_RATIONAL); |
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125 | WerrorS("not univariate"); |
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126 | return NULL; |
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127 | } |
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128 | CanonicalForm Fa,Gb; |
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129 | res=convClapPSingP( extgcd( F, G, Fa, Gb ) ); |
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130 | pa=convClapPSingP(Fa); |
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131 | pb=convClapPSingP(Gb); |
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132 | Off(SW_RATIONAL); |
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133 | } |
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134 | // and over Q(a) / Fp(a) |
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135 | else if (( nGetChar()==1 ) /* Q(a) */ |
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136 | || (nGetChar() <-1)) /* Fp(a) */ |
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137 | { |
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138 | if (nGetChar()==1) setCharacteristic( 0 ); |
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139 | else setCharacteristic( -nGetChar() ); |
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140 | CanonicalForm Fa,Gb; |
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141 | if (currRing->minpoly!=NULL) |
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142 | { |
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143 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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144 | Variable a=rootOf(mipo); |
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145 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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146 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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147 | { |
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148 | WerrorS("not univariate"); |
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149 | return NULL; |
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150 | } |
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151 | res= convClapAPSingAP( extgcd( F, G, Fa, Gb ) ); |
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152 | pa=convClapAPSingAP(Fa); |
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153 | pb=convClapAPSingAP(Gb); |
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154 | } |
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155 | else |
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156 | { |
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157 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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158 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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159 | { |
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160 | Off(SW_RATIONAL); |
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161 | WerrorS("not univariate"); |
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162 | return NULL; |
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163 | } |
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164 | res= convClapPSingTrP( extgcd( F, G, Fa, Gb ) ); |
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165 | pa=convClapPSingTrP(Fa); |
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166 | pb=convClapPSingTrP(Gb); |
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167 | } |
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168 | Off(SW_RATIONAL); |
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169 | } |
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170 | else |
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171 | { |
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172 | WerrorS( "not implemented" ); |
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173 | return NULL; |
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174 | } |
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175 | lists L=(lists)Alloc(sizeof(slists)); |
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176 | L->Init(3); |
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177 | L->m[0].rtyp=POLY_CMD; |
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178 | L->m[0].data=(void *)res; |
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179 | L->m[1].rtyp=POLY_CMD; |
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180 | L->m[1].data=(void *)pa; |
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181 | L->m[2].rtyp=POLY_CMD; |
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182 | L->m[2].data=(void *)pb; |
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183 | return L; |
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184 | } |
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185 | |
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186 | poly singclap_pdivide ( poly f, poly g ) |
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187 | { |
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188 | // for now there is only the possibility to handle polynomials over |
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189 | // Q and Fp ... |
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190 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
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191 | { |
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192 | setCharacteristic( nGetChar() ); |
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193 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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194 | return convClapPSingP( F / G ); |
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195 | } |
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196 | // and over Q(a) / Fp(a) |
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197 | else if (( nGetChar()==1 ) /* Q(a) */ |
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198 | || (nGetChar() <-1)) /* Fp(a) */ |
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199 | { |
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200 | if (nGetChar()==1) setCharacteristic( 0 ); |
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201 | else setCharacteristic( -nGetChar() ); |
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202 | poly res; |
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203 | if (currRing->minpoly!=NULL) |
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204 | { |
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205 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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206 | Variable a=rootOf(mipo); |
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207 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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208 | res= convClapAPSingAP( F / G ); |
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209 | } |
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210 | else |
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211 | { |
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212 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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213 | res= convClapPSingTrP( F / G ); |
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214 | } |
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215 | Off(SW_RATIONAL); |
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216 | return res; |
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217 | } |
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218 | else |
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219 | WerrorS( "not implemented" ); |
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220 | return NULL; |
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221 | } |
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222 | |
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223 | void singclap_divide_content ( poly f ) |
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224 | { |
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225 | if ( nGetChar() == 1 ) |
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226 | setCharacteristic( 0 ); |
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227 | else if ( nGetChar() < 0 ) |
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228 | setCharacteristic( -nGetChar() ); |
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229 | else |
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230 | setCharacteristic( nGetChar() ); |
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231 | if ( f==NULL ) |
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232 | { |
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233 | return; |
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234 | } |
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235 | else if ( pNext( f ) == NULL ) |
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236 | { |
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237 | pSetCoeff( f, nInit( 1 ) ); |
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238 | pTest(f); |
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239 | return; |
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240 | } |
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241 | else |
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242 | { |
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243 | CFList L; |
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244 | CanonicalForm g, h; |
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245 | poly p = pNext(f); |
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246 | g = convSingTrClapP( ((lnumber)pGetCoeff(f))->z ); |
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247 | L.append( g ); |
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248 | while ( p && (g != 1) ) |
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249 | { |
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250 | h = convSingTrClapP( ((lnumber)pGetCoeff(p))->z ); |
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251 | p = pNext( p ); |
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252 | g = gcd( g, h ); |
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253 | L.append( h ); |
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254 | } |
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255 | if ( g == 1 ) |
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256 | { |
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257 | pTest(f); |
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258 | return; |
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259 | } |
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260 | else |
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261 | { |
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262 | CFListIterator i; |
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263 | for ( i = L, p = f; i.hasItem(); i++, p=pNext(p) ) |
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264 | { |
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265 | lnumber c=(lnumber)pGetCoeff(p); |
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266 | napDelete(&c->z); |
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267 | c->z=convClapPSingTr( i.getItem() / g ); |
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268 | } |
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269 | } |
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270 | pTest(f); |
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271 | } |
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272 | } |
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273 | |
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274 | ideal singclap_factorize ( poly f, intvec ** v , int with_exps) |
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275 | { |
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276 | // with_exps: 1 return only true factors |
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277 | // 2 return true factors and exponents |
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278 | // 0 return factors and exponents |
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279 | |
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280 | ideal res=NULL; |
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281 | Off(SW_RATIONAL); |
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282 | On(SW_SYMMETRIC_FF); |
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283 | CFFList L; |
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284 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
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285 | { |
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286 | setCharacteristic( nGetChar() ); |
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287 | if (nGetChar()==0) /* Q */ |
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288 | { |
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289 | pContent(f); |
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290 | } |
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291 | CanonicalForm F( convSingPClapP( f ) ); |
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292 | if (nGetChar()==0) /* Q */ |
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293 | { |
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294 | L = factorize( F ); |
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295 | } |
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296 | else /* Fp */ |
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297 | { |
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298 | #ifdef HAVE_LIBFAC_P |
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299 | L = Factorize( F ); |
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300 | #else |
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301 | return NULL; |
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302 | #endif |
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303 | } |
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304 | } |
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305 | // and over Q(a) / Fp(a) |
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306 | else if (( nGetChar()==1 ) /* Q(a) */ |
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307 | || (nGetChar() <-1)) /* Fp(a) */ |
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308 | { |
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309 | if (nGetChar()==1) setCharacteristic( 0 ); |
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310 | else setCharacteristic( -nGetChar() ); |
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311 | if (currRing->minpoly!=NULL) |
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312 | { |
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313 | //if (nGetChar()==1) |
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314 | //{ |
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315 | // WerrorS("not implemented"); |
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316 | // return NULL; |
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317 | //} |
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318 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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319 | Variable a=rootOf(mipo); |
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320 | CanonicalForm F( convSingAPClapAP( f,a ) ); |
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321 | L = factorize( F, a ); |
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322 | } |
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323 | else |
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324 | { |
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325 | CanonicalForm F( convSingTrPClapP( f ) ); |
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326 | if (nGetChar()==1) /* Q(a) */ |
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327 | { |
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328 | L = factorize( F ); |
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329 | } |
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330 | else /* Fp(a) */ |
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331 | { |
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332 | #ifdef HAVE_LIBFAC_P |
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333 | L = Factorize( F ); |
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334 | #else |
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335 | return NULL; |
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336 | #endif |
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337 | } |
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338 | } |
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339 | } |
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340 | else |
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341 | { |
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342 | WerrorS( "not implemented" ); |
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343 | goto end; |
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344 | } |
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345 | { |
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346 | // the first factor should be a constant |
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347 | if ( getNumVars(L.getFirst().factor()) != 0 ) |
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348 | L.insert(CFFactor(1,1)); |
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349 | // convert into ideal |
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350 | int n = L.length(); |
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351 | CFFListIterator J=L; |
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352 | int j=0; |
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353 | if (with_exps!=1) |
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354 | { |
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355 | if (with_exps==2) |
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356 | { |
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357 | n--; |
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358 | J++; |
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359 | } |
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360 | *v = new intvec( n ); |
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361 | } |
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362 | res = idInit( n ,1); |
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363 | for ( ; J.hasItem(); J++, j++ ) |
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364 | { |
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365 | if (with_exps!=1) (**v)[j] = J.getItem().exp(); |
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366 | if ((nGetChar()==0)||(nGetChar()>1)) /* Q, Fp */ |
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367 | res->m[j] = convClapPSingP( J.getItem().factor() ); |
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368 | else if ((nGetChar()==1)||(nGetChar()<-1)) /* Q(a), Fp(a) */ |
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369 | { |
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370 | if (currRing->minpoly==NULL) |
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371 | res->m[j] = convClapPSingTrP( J.getItem().factor() ); |
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372 | else |
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373 | res->m[j] = convClapAPSingAP( J.getItem().factor() ); |
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374 | } |
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375 | } |
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376 | // delete constants |
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377 | if ((with_exps!=0) && (res!=NULL)) |
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378 | { |
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379 | int i=IDELEMS(res)-1; |
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380 | for(;i>=0;i--) |
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381 | { |
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382 | if (pIsConstant(res->m[i])) |
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383 | pDelete(&(res->m[i])); |
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384 | } |
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385 | idSkipZeroes(res); |
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386 | if (res->m[0]==NULL) |
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387 | { |
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388 | res->m[0]=pOne(); |
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389 | } |
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390 | } |
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391 | } |
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392 | end: |
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393 | return res; |
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394 | } |
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395 | |
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396 | matrix singclap_irrCharSeries ( ideal I) |
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397 | { |
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398 | #ifdef HAVE_LIBFAC_P |
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399 | // for now there is only the possibility to handle polynomials over |
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400 | // Q and Fp ... |
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401 | matrix res=NULL; |
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402 | int i; |
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403 | Off(SW_RATIONAL); |
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404 | On(SW_SYMMETRIC_FF); |
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405 | CFList L; |
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406 | ListCFList LL; |
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407 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
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408 | { |
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409 | setCharacteristic( nGetChar() ); |
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410 | for(i=0;i<IDELEMS(I);i++) |
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411 | { |
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412 | L.append(convSingPClapP(I->m[i])); |
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413 | } |
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414 | } |
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415 | // and over Q(a) / Fp(a) |
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416 | else if (( nGetChar()==1 ) /* Q(a) */ |
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417 | || (nGetChar() <-1)) /* Fp(a) */ |
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418 | { |
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419 | if (nGetChar()==1) setCharacteristic( 0 ); |
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420 | else setCharacteristic( -nGetChar() ); |
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421 | for(i=0;i<IDELEMS(I);i++) |
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422 | { |
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423 | L.append(convSingTrPClapP(I->m[i])); |
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424 | } |
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425 | } |
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426 | else |
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427 | { |
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428 | WerrorS("not implemented"); |
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429 | return res; |
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430 | } |
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431 | |
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432 | LL=IrrCharSeries(L); |
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433 | int m= LL.length(); // Anzahl Zeilen |
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434 | int n=0; |
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435 | ListIterator<CFList> LLi; |
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436 | CFListIterator Li; |
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437 | for ( LLi = LL; LLi.hasItem(); LLi++ ) |
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438 | { |
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439 | n = max(LLi.getItem().length(),n); |
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440 | } |
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441 | res=mpNew(m,n); |
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442 | if ((m==0) || (n==0)) |
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443 | { |
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444 | Warn("char_series returns %d x %d matrix from %d input polys (%d)\n",m,n,IDELEMS(I)+1,LL.length()); |
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445 | iiWriteMatrix((matrix)I,"I",2,0); |
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446 | } |
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447 | for ( m=1, LLi = LL; LLi.hasItem(); LLi++, m++ ) |
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448 | { |
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449 | for (n=1, Li = LLi.getItem(); Li.hasItem(); Li++, n++) |
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450 | { |
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451 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
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452 | MATELEM(res,m,n)=convClapPSingP(Li.getItem()); |
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453 | else |
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454 | MATELEM(res,m,n)=convClapPSingTrP(Li.getItem()); |
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455 | } |
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456 | } |
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457 | Off(SW_RATIONAL); |
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458 | return res; |
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459 | #else |
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460 | return NULL; |
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461 | #endif |
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462 | } |
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463 | |
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464 | char* singclap_neworder ( ideal I) |
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465 | { |
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466 | #ifdef HAVE_LIBFAC_P |
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467 | int i; |
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468 | Off(SW_RATIONAL); |
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469 | On(SW_SYMMETRIC_FF); |
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470 | CFList L; |
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471 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
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472 | { |
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473 | setCharacteristic( nGetChar() ); |
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474 | for(i=0;i<IDELEMS(I);i++) |
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475 | { |
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476 | L.append(convSingPClapP(I->m[i])); |
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477 | } |
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478 | } |
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479 | // and over Q(a) / Fp(a) |
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480 | else if (( nGetChar()==1 ) /* Q(a) */ |
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481 | || (nGetChar() <-1)) /* Fp(a) */ |
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482 | { |
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483 | if (nGetChar()==1) setCharacteristic( 0 ); |
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484 | else setCharacteristic( -nGetChar() ); |
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485 | for(i=0;i<IDELEMS(I);i++) |
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486 | { |
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487 | L.append(convSingTrPClapP(I->m[i])); |
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488 | } |
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489 | } |
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490 | else |
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491 | { |
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492 | WerrorS("not implemented"); |
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493 | return NULL; |
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494 | } |
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495 | |
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496 | List<int> IL=neworderint(L); |
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497 | ListIterator<int> Li; |
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498 | StringSet(""); |
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499 | Li = IL; |
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500 | int* mark=(int*)Alloc0(pVariables*sizeof(int)); |
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501 | int cnt=pVariables; |
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502 | loop |
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503 | { |
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504 | i=Li.getItem()-1; |
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505 | mark[i]=1; |
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506 | StringAppend(currRing->names[i]); |
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507 | Li++; |
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508 | cnt--; |
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509 | if(cnt==0) break; |
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510 | StringAppend(","); |
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511 | if(! Li.hasItem()) break; |
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512 | } |
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513 | for(i=0;i<pVariables;i++) |
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514 | { |
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515 | if(mark[i]==0) |
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516 | { |
---|
517 | StringAppend(currRing->names[i]); |
---|
518 | cnt--; |
---|
519 | if(cnt==0) break; |
---|
520 | StringAppend(","); |
---|
521 | } |
---|
522 | } |
---|
523 | return mstrdup(StringAppend("")); |
---|
524 | #else |
---|
525 | return NULL; |
---|
526 | #endif |
---|
527 | } |
---|
528 | |
---|
529 | BOOLEAN singclap_isSqrFree(poly f) |
---|
530 | { |
---|
531 | BOOLEAN b=FALSE; |
---|
532 | Off(SW_RATIONAL); |
---|
533 | // Q / Fp |
---|
534 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
---|
535 | { |
---|
536 | setCharacteristic( nGetChar() ); |
---|
537 | CanonicalForm F( convSingPClapP( f ) ); |
---|
538 | if((nGetChar()>1)&&(!F.isUnivariate())) |
---|
539 | goto err; |
---|
540 | b=(BOOLEAN)isSqrFree(F); |
---|
541 | } |
---|
542 | // and over Q(a) / Fp(a) |
---|
543 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
544 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
545 | { |
---|
546 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
547 | else setCharacteristic( -nGetChar() ); |
---|
548 | //if (currRing->minpoly!=NULL) |
---|
549 | //{ |
---|
550 | // CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
551 | // Variable a=rootOf(mipo); |
---|
552 | // CanonicalForm F( convSingAPClapAP( f,a ) ); |
---|
553 | // ... |
---|
554 | //} |
---|
555 | //else |
---|
556 | { |
---|
557 | CanonicalForm F( convSingTrPClapP( f ) ); |
---|
558 | b=(BOOLEAN)isSqrFree(F); |
---|
559 | } |
---|
560 | Off(SW_RATIONAL); |
---|
561 | } |
---|
562 | else |
---|
563 | { |
---|
564 | err: |
---|
565 | WerrorS( "not implemented" ); |
---|
566 | } |
---|
567 | return b; |
---|
568 | } |
---|
569 | |
---|
570 | poly singclap_det( const matrix m ) |
---|
571 | { |
---|
572 | poly res=NULL; |
---|
573 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
---|
574 | { |
---|
575 | setCharacteristic( nGetChar() ); |
---|
576 | CFMatrix M(m->rows(),m->cols()); |
---|
577 | int i,j; |
---|
578 | for(i=1;i<=m->rows();i++) |
---|
579 | { |
---|
580 | for(j=1;j<=m->cols();j++) |
---|
581 | { |
---|
582 | M(i,j)=convSingPClapP(MATELEM(m,i,j)); |
---|
583 | } |
---|
584 | } |
---|
585 | res= convClapPSingP( determinant(M,m->rows())) ; |
---|
586 | } |
---|
587 | // and over Q(a) / Fp(a) |
---|
588 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
589 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
590 | { |
---|
591 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
592 | else setCharacteristic( -nGetChar() ); |
---|
593 | CFMatrix M(m->rows(),m->cols()); |
---|
594 | poly res; |
---|
595 | if (currRing->minpoly!=NULL) |
---|
596 | { |
---|
597 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
598 | Variable a=rootOf(mipo); |
---|
599 | int i,j; |
---|
600 | for(i=1;i<=m->rows();i++) |
---|
601 | { |
---|
602 | for(j=1;j<=m->cols();j++) |
---|
603 | { |
---|
604 | M(i,j)=convSingAPClapAP(MATELEM(m,i,j),a); |
---|
605 | } |
---|
606 | } |
---|
607 | res= convClapAPSingAP( determinant(M,m->rows())) ; |
---|
608 | } |
---|
609 | else |
---|
610 | { |
---|
611 | int i,j; |
---|
612 | for(i=1;i<=m->rows();i++) |
---|
613 | { |
---|
614 | for(j=1;j<=m->cols();j++) |
---|
615 | { |
---|
616 | M(i,j)=convSingTrPClapP(MATELEM(m,i,j)); |
---|
617 | } |
---|
618 | } |
---|
619 | res= convClapPSingTrP( determinant(M,m->rows())); |
---|
620 | } |
---|
621 | } |
---|
622 | else |
---|
623 | WerrorS( "not implemented" ); |
---|
624 | Off(SW_RATIONAL); |
---|
625 | return res; |
---|
626 | } |
---|
627 | |
---|
628 | int singclap_det_i( intvec * m ) |
---|
629 | { |
---|
630 | setCharacteristic( 0 ); |
---|
631 | CFMatrix M(m->rows(),m->cols()); |
---|
632 | int i,j; |
---|
633 | for(i=1;i<=m->rows();i++) |
---|
634 | { |
---|
635 | for(j=1;j<=m->cols();j++) |
---|
636 | { |
---|
637 | M(i,j)=IMATELEM(*m,i,j); |
---|
638 | } |
---|
639 | } |
---|
640 | int res= convClapISingI( determinant(M,m->rows())) ; |
---|
641 | Off(SW_RATIONAL); |
---|
642 | return res; |
---|
643 | } |
---|
644 | /*==============================================================*/ |
---|
645 | /* interpreter interface : */ |
---|
646 | BOOLEAN jjGCD_P(leftv res, leftv u, leftv v) |
---|
647 | { |
---|
648 | res->data=(void *)singclap_gcd((poly)(u->Data()),((poly)v->Data())); |
---|
649 | return FALSE; |
---|
650 | } |
---|
651 | |
---|
652 | BOOLEAN jjFAC_P(leftv res, leftv u) |
---|
653 | { |
---|
654 | intvec *v=NULL; |
---|
655 | ideal f=singclap_factorize((poly)(u->Data()), &v, 0); |
---|
656 | #ifndef HAVE_LIBFAC_P |
---|
657 | if (f==NULL) return TRUE; |
---|
658 | #endif |
---|
659 | lists l=(lists)Alloc(sizeof(slists)); |
---|
660 | l->Init(2); |
---|
661 | l->m[0].rtyp=IDEAL_CMD; |
---|
662 | l->m[0].data=(void *)f; |
---|
663 | l->m[1].rtyp=INTVEC_CMD; |
---|
664 | l->m[1].data=(void *)v; |
---|
665 | res->data=(void *)l; |
---|
666 | return FALSE; |
---|
667 | } |
---|
668 | |
---|
669 | BOOLEAN jjSQR_FREE_DEC(leftv res, leftv u,leftv dummy) |
---|
670 | { |
---|
671 | intvec *v=NULL; |
---|
672 | int sw=(int)dummy->Data(); |
---|
673 | ideal f=singclap_factorize((poly)(u->Data()), &v, sw); |
---|
674 | switch(sw) |
---|
675 | { |
---|
676 | case 0: |
---|
677 | case 2: |
---|
678 | { |
---|
679 | lists l=(lists)Alloc(sizeof(slists)); |
---|
680 | l->Init(2); |
---|
681 | l->m[0].rtyp=IDEAL_CMD; |
---|
682 | l->m[0].data=(void *)f; |
---|
683 | l->m[1].rtyp=INTVEC_CMD; |
---|
684 | l->m[1].data=(void *)v; |
---|
685 | res->data=(void *)l; |
---|
686 | res->rtyp=LIST_CMD; |
---|
687 | return FALSE; |
---|
688 | } |
---|
689 | case 1: |
---|
690 | res->data=(void *)f; |
---|
691 | return f==NULL; |
---|
692 | } |
---|
693 | WerrorS("invalid switch"); |
---|
694 | return TRUE; |
---|
695 | } |
---|
696 | |
---|
697 | #if 0 |
---|
698 | BOOLEAN jjIS_SQR_FREE(leftv res, leftv u) |
---|
699 | { |
---|
700 | BOOLEAN b=singclap_factorize((poly)(u->Data()), &v, 0); |
---|
701 | res->data=(void *)b; |
---|
702 | } |
---|
703 | #endif |
---|
704 | |
---|
705 | BOOLEAN jjEXTGCD_P(leftv res, leftv u, leftv v) |
---|
706 | { |
---|
707 | res->data=singclap_extgcd((poly)u->Data(),(poly)v->Data()); |
---|
708 | return (res->data==NULL); |
---|
709 | } |
---|
710 | BOOLEAN jjRESULTANT(leftv res, leftv u, leftv v, leftv w) |
---|
711 | { |
---|
712 | res->data=singclap_resultant((poly)u->Data(),(poly)v->Data(), (poly)w->Data()); |
---|
713 | return (res->data==NULL); |
---|
714 | } |
---|
715 | BOOLEAN jjCHARSERIES(leftv res, leftv u) |
---|
716 | { |
---|
717 | res->data=singclap_irrCharSeries((ideal)u->Data()); |
---|
718 | return (res->data==NULL); |
---|
719 | } |
---|
720 | #endif |
---|