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 1.16 1997-10-20 15:27:25 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_FACTORY |
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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 <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 | |
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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 | poly singclap_resultant ( poly f, poly g , poly x) |
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111 | { |
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112 | int i=pVar(x); |
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113 | if (i==0) |
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114 | { |
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115 | WerrorS("ringvar expected"); |
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116 | return NULL; |
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117 | } |
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118 | ideal I=idInit(1,1); |
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119 | |
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120 | // get the coeffs von f wrt. x: |
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121 | I->m[0]=pCopy(f); |
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122 | matrix ffi=mpCoeffs(I,i); |
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123 | ffi->rank=1; |
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124 | ffi->ncols=ffi->nrows; |
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125 | ffi->nrows=1; |
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126 | ideal fi=(ideal)ffi; |
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127 | |
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128 | // get the coeffs von g wrt. x: |
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129 | I->m[0]=pCopy(g); |
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130 | matrix ggi=mpCoeffs(I,i); |
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131 | ggi->rank=1; |
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132 | ggi->ncols=ggi->nrows; |
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133 | ggi->nrows=1; |
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134 | ideal gi=(ideal)ggi; |
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135 | |
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136 | // contruct the matrix: |
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137 | int fn=IDELEMS(fi); //= deg(f,x)+1 |
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138 | int gn=IDELEMS(gi); //= deg(g,x)+1 |
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139 | matrix m=mpNew(fn+gn-2,fn+gn-2); |
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140 | if(m==NULL) |
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141 | { |
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142 | return NULL; |
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143 | } |
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144 | |
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145 | // enter the coeffs into m: |
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146 | int j; |
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147 | for(i=0;i<gn-1;i++) |
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148 | { |
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149 | for(j=0;j<fn;j++) |
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150 | { |
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151 | MATELEM(m,i+1,fn-j+i)=pCopy(fi->m[j]); |
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152 | } |
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153 | } |
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154 | for(i=0;i<fn-1;i++) |
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155 | { |
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156 | for(j=0;j<gn;j++) |
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157 | { |
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158 | MATELEM(m,gn+i,gn-j+i)=pCopy(gi->m[j]); |
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159 | } |
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160 | } |
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161 | |
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162 | poly r=mpDet(m); |
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163 | |
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164 | idDelete(&fi); |
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165 | idDelete(&gi); |
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166 | idDelete((ideal *)&m); |
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167 | return r; |
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168 | } |
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169 | |
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170 | lists singclap_extgcd ( poly f, poly g ) |
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171 | { |
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172 | // for now there is only the possibility to handle univariate |
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173 | // polynomials over |
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174 | // Q and Fp ... |
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175 | poly res=NULL,pa=NULL,pb=NULL; |
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176 | On(SW_SYMMETRIC_FF); |
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177 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
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178 | { |
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179 | setCharacteristic( nGetChar() ); |
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180 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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181 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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182 | { |
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183 | Off(SW_RATIONAL); |
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184 | WerrorS("not univariate"); |
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185 | return NULL; |
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186 | } |
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187 | CanonicalForm Fa,Gb; |
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188 | res=convClapPSingP( extgcd( F, G, Fa, Gb ) ); |
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189 | pa=convClapPSingP(Fa); |
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190 | pb=convClapPSingP(Gb); |
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191 | Off(SW_RATIONAL); |
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192 | } |
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193 | // and over Q(a) / Fp(a) |
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194 | else if (( nGetChar()==1 ) /* Q(a) */ |
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195 | || (nGetChar() <-1)) /* Fp(a) */ |
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196 | { |
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197 | if (nGetChar()==1) setCharacteristic( 0 ); |
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198 | else setCharacteristic( -nGetChar() ); |
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199 | CanonicalForm Fa,Gb; |
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200 | if (currRing->minpoly!=NULL) |
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201 | { |
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202 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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203 | Variable a=rootOf(mipo); |
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204 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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205 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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206 | { |
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207 | WerrorS("not univariate"); |
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208 | return NULL; |
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209 | } |
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210 | res= convClapAPSingAP( extgcd( F, G, Fa, Gb ) ); |
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211 | pa=convClapAPSingAP(Fa); |
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212 | pb=convClapAPSingAP(Gb); |
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213 | } |
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214 | else |
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215 | { |
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216 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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217 | if (!F.isUnivariate() || !G.isUnivariate() || F.mvar()!=G.mvar()) |
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218 | { |
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219 | Off(SW_RATIONAL); |
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220 | WerrorS("not univariate"); |
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221 | return NULL; |
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222 | } |
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223 | res= convClapPSingTrP( extgcd( F, G, Fa, Gb ) ); |
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224 | pa=convClapPSingTrP(Fa); |
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225 | pb=convClapPSingTrP(Gb); |
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226 | } |
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227 | Off(SW_RATIONAL); |
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228 | } |
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229 | else |
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230 | { |
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231 | WerrorS( "not implemented" ); |
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232 | return NULL; |
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233 | } |
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234 | lists L=(lists)Alloc(sizeof(slists)); |
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235 | L->Init(3); |
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236 | L->m[0].rtyp=POLY_CMD; |
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237 | L->m[0].data=(void *)res; |
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238 | L->m[1].rtyp=POLY_CMD; |
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239 | L->m[1].data=(void *)pa; |
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240 | L->m[2].rtyp=POLY_CMD; |
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241 | L->m[2].data=(void *)pb; |
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242 | return L; |
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243 | } |
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244 | |
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245 | poly singclap_pdivide ( poly f, poly g ) |
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246 | { |
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247 | // for now there is only the possibility to handle polynomials over |
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248 | // Q and Fp ... |
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249 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
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250 | { |
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251 | setCharacteristic( nGetChar() ); |
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252 | CanonicalForm F( convSingPClapP( f ) ), G( convSingPClapP( g ) ); |
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253 | return convClapPSingP( F / G ); |
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254 | } |
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255 | // and over Q(a) / Fp(a) |
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256 | else if (( nGetChar()==1 ) /* Q(a) */ |
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257 | || (nGetChar() <-1)) /* Fp(a) */ |
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258 | { |
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259 | if (nGetChar()==1) setCharacteristic( 0 ); |
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260 | else setCharacteristic( -nGetChar() ); |
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261 | poly res; |
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262 | if (currRing->minpoly!=NULL) |
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263 | { |
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264 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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265 | Variable a=rootOf(mipo); |
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266 | CanonicalForm F( convSingAPClapAP( f,a ) ), G( convSingAPClapAP( g,a ) ); |
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267 | res= convClapAPSingAP( F / G ); |
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268 | } |
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269 | else |
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270 | { |
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271 | CanonicalForm F( convSingTrPClapP( f ) ), G( convSingTrPClapP( g ) ); |
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272 | res= convClapPSingTrP( F / G ); |
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273 | } |
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274 | Off(SW_RATIONAL); |
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275 | return res; |
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276 | } |
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277 | else |
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278 | WerrorS( "not implemented" ); |
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279 | return NULL; |
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280 | } |
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281 | |
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282 | void singclap_divide_content ( poly f ) |
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283 | { |
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284 | if ( nGetChar() == 1 ) |
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285 | setCharacteristic( 0 ); |
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286 | else if ( nGetChar() == -1 ) |
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287 | return; /* not implemented for R */ |
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288 | else if ( nGetChar() < 0 ) |
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289 | setCharacteristic( -nGetChar() ); |
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290 | else |
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291 | setCharacteristic( nGetChar() ); |
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292 | if ( f==NULL ) |
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293 | { |
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294 | return; |
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295 | } |
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296 | else if ( pNext( f ) == NULL ) |
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297 | { |
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298 | pSetCoeff( f, nInit( 1 ) ); |
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299 | return; |
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300 | } |
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301 | else |
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302 | { |
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303 | CFList L; |
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304 | CanonicalForm g, h; |
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305 | poly p = pNext(f); |
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306 | nTest(pGetCoeff(f)); |
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307 | g = convSingTrClapP( ((lnumber)pGetCoeff(f))->z ); |
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308 | L.append( g ); |
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309 | while ( p && (g != 1) ) |
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310 | { |
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311 | nTest(pGetCoeff(p)); |
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312 | h = convSingTrClapP( ((lnumber)pGetCoeff(p))->z ); |
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313 | p = pNext( p ); |
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314 | g = gcd( g, h ); |
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315 | L.append( h ); |
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316 | } |
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317 | if ( g == 1 ) |
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318 | { |
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319 | pTest(f); |
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320 | return; |
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321 | } |
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322 | #ifdef LDEBUG |
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323 | else if ( g == 0 ) |
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324 | { |
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325 | pTest(f); |
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326 | pWrite(f); |
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327 | PrintS("=> gcd 0 in divide_content\n"); |
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328 | return; |
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329 | } |
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330 | #endif |
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331 | else |
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332 | { |
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333 | CFListIterator i; |
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334 | for ( i = L, p = f; i.hasItem(); i++, p=pNext(p) ) |
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335 | { |
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336 | lnumber c=(lnumber)pGetCoeff(p); |
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337 | napDelete(&c->z); |
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338 | #ifdef LDEBUG |
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339 | number nt=(number)Alloc0(sizeof(rnumber)); |
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340 | lnumber nnt=(lnumber)nt; |
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341 | nnt->z=convClapPSingTr( i.getItem()); |
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342 | nTest(nt); |
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343 | #endif |
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344 | c->z=convClapPSingTr( i.getItem() / g ); |
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345 | nTest((number)c); |
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346 | //#ifdef LDEBUG |
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347 | //number cn=(number)c; |
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348 | //StringSet(""); nWrite(nt); StringAppend(" ==> "); |
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349 | //nWrite(cn);PrintS(StringAppend("\n")); |
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350 | //#endif |
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351 | } |
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352 | } |
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353 | pTest(f); |
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354 | } |
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355 | } |
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356 | |
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357 | ideal singclap_factorize ( poly f, intvec ** v , int with_exps) |
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358 | { |
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359 | // with_exps: 1 return only true factors |
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360 | // 2 return true factors and exponents |
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361 | // 0 return factors and exponents |
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362 | |
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363 | ideal res=NULL; |
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364 | if (f==NULL) |
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365 | { |
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366 | res=idInit(1,1); |
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367 | if (with_exps!=1) |
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368 | { |
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369 | (*v)=new intvec(1); |
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370 | } |
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371 | return res; |
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372 | } |
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373 | Off(SW_RATIONAL); |
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374 | On(SW_SYMMETRIC_FF); |
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375 | CFFList L; |
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376 | number N=NULL; |
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377 | |
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378 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
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379 | { |
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380 | setCharacteristic( nGetChar() ); |
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381 | if (nGetChar()==0) /* Q */ |
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382 | { |
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383 | if (f!=NULL) |
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384 | { |
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385 | if (with_exps==0) |
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386 | N=nCopy(pGetCoeff(f)); |
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387 | pCleardenom(f); |
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388 | if (with_exps==0) |
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389 | { |
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390 | number nn=nDiv(N,pGetCoeff(f)); |
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391 | nDelete(&N); |
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392 | N=nn; |
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393 | } |
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394 | } |
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395 | } |
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396 | CanonicalForm F( convSingPClapP( f ) ); |
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397 | if (nGetChar()==0) /* Q */ |
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398 | { |
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399 | L = factorize( F ); |
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400 | } |
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401 | else /* Fp */ |
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402 | { |
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403 | #ifdef HAVE_LIBFAC_P |
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404 | L = Factorize( F ); |
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405 | #else |
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406 | return NULL; |
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407 | #endif |
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408 | } |
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409 | } |
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410 | // and over Q(a) / Fp(a) |
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411 | else if (( nGetChar()==1 ) /* Q(a) */ |
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412 | || (nGetChar() <-1)) /* Fp(a) */ |
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413 | { |
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414 | if (nGetChar()==1) setCharacteristic( 0 ); |
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415 | else setCharacteristic( -nGetChar() ); |
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416 | if (currRing->minpoly!=NULL) |
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417 | { |
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418 | //if (nGetChar()==1) |
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419 | //{ |
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420 | // WerrorS("not implemented"); |
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421 | // return NULL; |
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422 | //} |
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423 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
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424 | Variable a=rootOf(mipo); |
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425 | CanonicalForm F( convSingAPClapAP( f,a ) ); |
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426 | L = factorize( F, a ); |
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427 | } |
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428 | else |
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429 | { |
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430 | CanonicalForm F( convSingTrPClapP( f ) ); |
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431 | if (nGetChar()==1) /* Q(a) */ |
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432 | { |
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433 | L = factorize( F ); |
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434 | } |
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435 | else /* Fp(a) */ |
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436 | { |
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437 | #ifdef HAVE_LIBFAC_P |
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438 | L = Factorize( F ); |
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439 | #else |
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440 | return NULL; |
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441 | #endif |
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442 | } |
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443 | } |
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444 | } |
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445 | else |
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446 | { |
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447 | WerrorS( "not implemented" ); |
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448 | goto end; |
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449 | } |
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450 | { |
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451 | // the first factor should be a constant |
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452 | if ( ! L.getFirst().factor().inCoeffDomain() ) |
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453 | L.insert(CFFactor(1,1)); |
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454 | // convert into ideal |
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455 | int n = L.length(); |
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456 | CFFListIterator J=L; |
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457 | int j=0; |
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458 | if (with_exps!=1) |
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459 | { |
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460 | if ((with_exps==2)&&(n>1)) |
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461 | { |
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462 | n--; |
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463 | J++; |
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464 | } |
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465 | *v = new intvec( n ); |
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466 | } |
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467 | res = idInit( n ,1); |
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468 | for ( ; J.hasItem(); J++, j++ ) |
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469 | { |
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470 | if (with_exps!=1) (**v)[j] = J.getItem().exp(); |
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471 | if ((nGetChar()==0)||(nGetChar()>1)) /* Q, Fp */ |
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472 | res->m[j] = convClapPSingP( J.getItem().factor() ); |
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473 | else if ((nGetChar()==1)||(nGetChar()<-1)) /* Q(a), Fp(a) */ |
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474 | { |
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475 | if (currRing->minpoly==NULL) |
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476 | res->m[j] = convClapPSingTrP( J.getItem().factor() ); |
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477 | else |
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478 | res->m[j] = convClapAPSingAP( J.getItem().factor() ); |
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479 | } |
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480 | } |
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481 | if (N!=NULL) |
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482 | { |
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483 | pMultN(res->m[0],N); |
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484 | nDelete(&N); |
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485 | } |
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486 | // delete constants |
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487 | if ((with_exps!=0) && (res!=NULL)) |
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488 | { |
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489 | int i=IDELEMS(res)-1; |
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490 | for(;i>=0;i--) |
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491 | { |
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492 | if (pIsConstant(res->m[i])) |
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493 | pDelete(&(res->m[i])); |
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494 | } |
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495 | idSkipZeroes(res); |
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496 | if (res->m[0]==NULL) |
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497 | { |
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498 | res->m[0]=pOne(); |
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499 | } |
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500 | } |
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501 | } |
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502 | end: |
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503 | return res; |
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504 | } |
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505 | |
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506 | matrix singclap_irrCharSeries ( ideal I) |
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507 | { |
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508 | #ifdef HAVE_LIBFAC_P |
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509 | // for now there is only the possibility to handle polynomials over |
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510 | // Q and Fp ... |
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511 | matrix res=NULL; |
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512 | int i; |
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513 | Off(SW_RATIONAL); |
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514 | On(SW_SYMMETRIC_FF); |
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515 | CFList L; |
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516 | ListCFList LL; |
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517 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
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518 | { |
---|
519 | setCharacteristic( nGetChar() ); |
---|
520 | for(i=0;i<IDELEMS(I);i++) |
---|
521 | { |
---|
522 | L.append(convSingPClapP(I->m[i])); |
---|
523 | } |
---|
524 | } |
---|
525 | // and over Q(a) / Fp(a) |
---|
526 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
527 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
528 | { |
---|
529 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
530 | else setCharacteristic( -nGetChar() ); |
---|
531 | for(i=0;i<IDELEMS(I);i++) |
---|
532 | { |
---|
533 | L.append(convSingTrPClapP(I->m[i])); |
---|
534 | } |
---|
535 | } |
---|
536 | else |
---|
537 | { |
---|
538 | WerrorS("not implemented"); |
---|
539 | return res; |
---|
540 | } |
---|
541 | |
---|
542 | LL=IrrCharSeries(L); |
---|
543 | int m= LL.length(); // Anzahl Zeilen |
---|
544 | int n=0; |
---|
545 | ListIterator<CFList> LLi; |
---|
546 | CFListIterator Li; |
---|
547 | for ( LLi = LL; LLi.hasItem(); LLi++ ) |
---|
548 | { |
---|
549 | n = max(LLi.getItem().length(),n); |
---|
550 | } |
---|
551 | res=mpNew(m,n); |
---|
552 | if ((m==0) || (n==0)) |
---|
553 | { |
---|
554 | Warn("char_series returns %d x %d matrix from %d input polys (%d)\n",m,n,IDELEMS(I)+1,LL.length()); |
---|
555 | iiWriteMatrix((matrix)I,"I",2,0); |
---|
556 | } |
---|
557 | for ( m=1, LLi = LL; LLi.hasItem(); LLi++, m++ ) |
---|
558 | { |
---|
559 | for (n=1, Li = LLi.getItem(); Li.hasItem(); Li++, n++) |
---|
560 | { |
---|
561 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
---|
562 | MATELEM(res,m,n)=convClapPSingP(Li.getItem()); |
---|
563 | else |
---|
564 | MATELEM(res,m,n)=convClapPSingTrP(Li.getItem()); |
---|
565 | } |
---|
566 | } |
---|
567 | Off(SW_RATIONAL); |
---|
568 | return res; |
---|
569 | #else |
---|
570 | return NULL; |
---|
571 | #endif |
---|
572 | } |
---|
573 | |
---|
574 | char* singclap_neworder ( ideal I) |
---|
575 | { |
---|
576 | #ifdef HAVE_LIBFAC_P |
---|
577 | int i; |
---|
578 | Off(SW_RATIONAL); |
---|
579 | On(SW_SYMMETRIC_FF); |
---|
580 | CFList L; |
---|
581 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
---|
582 | { |
---|
583 | setCharacteristic( nGetChar() ); |
---|
584 | for(i=0;i<IDELEMS(I);i++) |
---|
585 | { |
---|
586 | L.append(convSingPClapP(I->m[i])); |
---|
587 | } |
---|
588 | } |
---|
589 | // and over Q(a) / Fp(a) |
---|
590 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
591 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
592 | { |
---|
593 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
594 | else setCharacteristic( -nGetChar() ); |
---|
595 | for(i=0;i<IDELEMS(I);i++) |
---|
596 | { |
---|
597 | L.append(convSingTrPClapP(I->m[i])); |
---|
598 | } |
---|
599 | } |
---|
600 | else |
---|
601 | { |
---|
602 | WerrorS("not implemented"); |
---|
603 | return NULL; |
---|
604 | } |
---|
605 | |
---|
606 | List<int> IL=neworderint(L); |
---|
607 | ListIterator<int> Li; |
---|
608 | StringSet(""); |
---|
609 | Li = IL; |
---|
610 | int* mark=(int*)Alloc0(pVariables*sizeof(int)); |
---|
611 | int cnt=pVariables; |
---|
612 | loop |
---|
613 | { |
---|
614 | i=Li.getItem()-1; |
---|
615 | mark[i]=1; |
---|
616 | StringAppend(currRing->names[i]); |
---|
617 | Li++; |
---|
618 | cnt--; |
---|
619 | if(cnt==0) break; |
---|
620 | StringAppend(","); |
---|
621 | if(! Li.hasItem()) break; |
---|
622 | } |
---|
623 | for(i=0;i<pVariables;i++) |
---|
624 | { |
---|
625 | if(mark[i]==0) |
---|
626 | { |
---|
627 | StringAppend(currRing->names[i]); |
---|
628 | cnt--; |
---|
629 | if(cnt==0) break; |
---|
630 | StringAppend(","); |
---|
631 | } |
---|
632 | } |
---|
633 | return mstrdup(StringAppend("")); |
---|
634 | #else |
---|
635 | return NULL; |
---|
636 | #endif |
---|
637 | } |
---|
638 | |
---|
639 | BOOLEAN singclap_isSqrFree(poly f) |
---|
640 | { |
---|
641 | BOOLEAN b=FALSE; |
---|
642 | Off(SW_RATIONAL); |
---|
643 | // Q / Fp |
---|
644 | if ( (nGetChar() == 0) || (nGetChar() > 1) ) |
---|
645 | { |
---|
646 | setCharacteristic( nGetChar() ); |
---|
647 | CanonicalForm F( convSingPClapP( f ) ); |
---|
648 | if((nGetChar()>1)&&(!F.isUnivariate())) |
---|
649 | goto err; |
---|
650 | b=(BOOLEAN)isSqrFree(F); |
---|
651 | } |
---|
652 | // and over Q(a) / Fp(a) |
---|
653 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
654 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
655 | { |
---|
656 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
657 | else setCharacteristic( -nGetChar() ); |
---|
658 | //if (currRing->minpoly!=NULL) |
---|
659 | //{ |
---|
660 | // CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
661 | // Variable a=rootOf(mipo); |
---|
662 | // CanonicalForm F( convSingAPClapAP( f,a ) ); |
---|
663 | // ... |
---|
664 | //} |
---|
665 | //else |
---|
666 | { |
---|
667 | CanonicalForm F( convSingTrPClapP( f ) ); |
---|
668 | b=(BOOLEAN)isSqrFree(F); |
---|
669 | } |
---|
670 | Off(SW_RATIONAL); |
---|
671 | } |
---|
672 | else |
---|
673 | { |
---|
674 | err: |
---|
675 | WerrorS( "not implemented" ); |
---|
676 | } |
---|
677 | return b; |
---|
678 | } |
---|
679 | |
---|
680 | poly singclap_det( const matrix m ) |
---|
681 | { |
---|
682 | int r=m->rows(); |
---|
683 | if (r!=m->cols()) |
---|
684 | { |
---|
685 | Werror("det of %d x %d matrix",r,m->cols()); |
---|
686 | return NULL; |
---|
687 | } |
---|
688 | poly res=NULL; |
---|
689 | if ( nGetChar() == 0 || nGetChar() > 1 ) |
---|
690 | { |
---|
691 | setCharacteristic( nGetChar() ); |
---|
692 | CFMatrix M(r,r); |
---|
693 | int i,j; |
---|
694 | for(i=r;i>0;i--) |
---|
695 | { |
---|
696 | for(j=r;j>0;j--) |
---|
697 | { |
---|
698 | M(i,j)=convSingPClapP(MATELEM(m,i,j)); |
---|
699 | } |
---|
700 | } |
---|
701 | res= convClapPSingP( determinant(M,r) ) ; |
---|
702 | } |
---|
703 | // and over Q(a) / Fp(a) |
---|
704 | else if (( nGetChar()==1 ) /* Q(a) */ |
---|
705 | || (nGetChar() <-1)) /* Fp(a) */ |
---|
706 | { |
---|
707 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
708 | else setCharacteristic( -nGetChar() ); |
---|
709 | CFMatrix M(r,r); |
---|
710 | poly res; |
---|
711 | if (currRing->minpoly!=NULL) |
---|
712 | { |
---|
713 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
714 | Variable a=rootOf(mipo); |
---|
715 | int i,j; |
---|
716 | for(i=r;i>0;i--) |
---|
717 | { |
---|
718 | for(j=r;j>0;j--) |
---|
719 | { |
---|
720 | M(i,j)=convSingAPClapAP(MATELEM(m,i,j),a); |
---|
721 | } |
---|
722 | } |
---|
723 | res= convClapAPSingAP( determinant(M,r) ) ; |
---|
724 | } |
---|
725 | else |
---|
726 | { |
---|
727 | int i,j; |
---|
728 | for(i=r;i>0;i--) |
---|
729 | { |
---|
730 | for(j=r;j>0;j--) |
---|
731 | { |
---|
732 | M(i,j)=convSingTrPClapP(MATELEM(m,i,j)); |
---|
733 | } |
---|
734 | } |
---|
735 | res= convClapPSingTrP( determinant(M,r) ); |
---|
736 | } |
---|
737 | } |
---|
738 | else |
---|
739 | WerrorS( "not implemented" ); |
---|
740 | Off(SW_RATIONAL); |
---|
741 | return res; |
---|
742 | } |
---|
743 | |
---|
744 | int singclap_det_i( intvec * m ) |
---|
745 | { |
---|
746 | setCharacteristic( 0 ); |
---|
747 | CFMatrix M(m->rows(),m->cols()); |
---|
748 | int i,j; |
---|
749 | for(i=m->rows();i>0;i--) |
---|
750 | { |
---|
751 | for(j=m->cols();j>0;j--) |
---|
752 | { |
---|
753 | M(i,j)=IMATELEM(*m,i,j); |
---|
754 | } |
---|
755 | } |
---|
756 | int res= convClapISingI( determinant(M,m->rows())) ; |
---|
757 | Off(SW_RATIONAL); |
---|
758 | return res; |
---|
759 | } |
---|
760 | /*==============================================================*/ |
---|
761 | /* interpreter interface : */ |
---|
762 | BOOLEAN jjGCD_P(leftv res, leftv u, leftv v) |
---|
763 | { |
---|
764 | res->data=(void *)singclap_gcd((poly)(u->Data()),((poly)v->Data())); |
---|
765 | return FALSE; |
---|
766 | } |
---|
767 | |
---|
768 | BOOLEAN jjFAC_P(leftv res, leftv u) |
---|
769 | { |
---|
770 | intvec *v=NULL; |
---|
771 | ideal f=singclap_factorize((poly)(u->Data()), &v, 0); |
---|
772 | #ifndef HAVE_LIBFAC_P |
---|
773 | if (f==NULL) return TRUE; |
---|
774 | #endif |
---|
775 | lists l=(lists)Alloc(sizeof(slists)); |
---|
776 | l->Init(2); |
---|
777 | l->m[0].rtyp=IDEAL_CMD; |
---|
778 | l->m[0].data=(void *)f; |
---|
779 | l->m[1].rtyp=INTVEC_CMD; |
---|
780 | l->m[1].data=(void *)v; |
---|
781 | res->data=(void *)l; |
---|
782 | return FALSE; |
---|
783 | } |
---|
784 | |
---|
785 | BOOLEAN jjSQR_FREE_DEC(leftv res, leftv u,leftv dummy) |
---|
786 | { |
---|
787 | intvec *v=NULL; |
---|
788 | int sw=(int)dummy->Data(); |
---|
789 | ideal f=singclap_factorize((poly)(u->Data()), &v, sw); |
---|
790 | switch(sw) |
---|
791 | { |
---|
792 | case 0: |
---|
793 | case 2: |
---|
794 | { |
---|
795 | lists l=(lists)Alloc(sizeof(slists)); |
---|
796 | l->Init(2); |
---|
797 | l->m[0].rtyp=IDEAL_CMD; |
---|
798 | l->m[0].data=(void *)f; |
---|
799 | l->m[1].rtyp=INTVEC_CMD; |
---|
800 | l->m[1].data=(void *)v; |
---|
801 | res->data=(void *)l; |
---|
802 | res->rtyp=LIST_CMD; |
---|
803 | return FALSE; |
---|
804 | } |
---|
805 | case 1: |
---|
806 | res->data=(void *)f; |
---|
807 | return f==NULL; |
---|
808 | } |
---|
809 | WerrorS("invalid switch"); |
---|
810 | return TRUE; |
---|
811 | } |
---|
812 | |
---|
813 | #if 0 |
---|
814 | BOOLEAN jjIS_SQR_FREE(leftv res, leftv u) |
---|
815 | { |
---|
816 | BOOLEAN b=singclap_factorize((poly)(u->Data()), &v, 0); |
---|
817 | res->data=(void *)b; |
---|
818 | } |
---|
819 | #endif |
---|
820 | |
---|
821 | BOOLEAN jjEXTGCD_P(leftv res, leftv u, leftv v) |
---|
822 | { |
---|
823 | res->data=singclap_extgcd((poly)u->Data(),(poly)v->Data()); |
---|
824 | return (res->data==NULL); |
---|
825 | } |
---|
826 | BOOLEAN jjRESULTANT(leftv res, leftv u, leftv v, leftv w) |
---|
827 | { |
---|
828 | res->data=singclap_resultant((poly)u->Data(),(poly)v->Data(), (poly)w->Data()); |
---|
829 | return (res->data==NULL); |
---|
830 | } |
---|
831 | BOOLEAN jjCHARSERIES(leftv res, leftv u) |
---|
832 | { |
---|
833 | res->data=singclap_irrCharSeries((ideal)u->Data()); |
---|
834 | return (res->data==NULL); |
---|
835 | } |
---|
836 | |
---|
837 | alg singclap_alglcm ( alg f, alg g ) |
---|
838 | { |
---|
839 | // over Q(a) / Fp(a) |
---|
840 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
841 | else setCharacteristic( -nGetChar() ); |
---|
842 | alg res; |
---|
843 | if (currRing->minpoly!=NULL) |
---|
844 | { |
---|
845 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
846 | Variable a=rootOf(mipo); |
---|
847 | CanonicalForm F( convSingAClapA( f,a ) ), G( convSingAClapA( g,a ) ); |
---|
848 | res= convClapASingA( (F/ gcd( F, G ))*G ); |
---|
849 | } |
---|
850 | else |
---|
851 | { |
---|
852 | CanonicalForm F( convSingTrClapP( f ) ), G( convSingTrClapP( g ) ); |
---|
853 | res= convClapPSingTr( (F/gcd( F, G ))*G ); |
---|
854 | } |
---|
855 | Off(SW_RATIONAL); |
---|
856 | return res; |
---|
857 | } |
---|
858 | |
---|
859 | void singclap_algdividecontent ( alg f, alg g, alg &ff, alg &gg ) |
---|
860 | { |
---|
861 | // over Q(a) / Fp(a) |
---|
862 | if (nGetChar()==1) setCharacteristic( 0 ); |
---|
863 | else setCharacteristic( -nGetChar() ); |
---|
864 | ff=gg=NULL; |
---|
865 | if (currRing->minpoly!=NULL) |
---|
866 | { |
---|
867 | CanonicalForm mipo=convSingTrClapP(((lnumber)currRing->minpoly)->z); |
---|
868 | Variable a=rootOf(mipo); |
---|
869 | CanonicalForm F( convSingAClapA( f,a ) ), G( convSingAClapA( g,a ) ); |
---|
870 | CanonicalForm GCD=gcd( F, G ); |
---|
871 | if (GCD!=1) |
---|
872 | { |
---|
873 | ff= convClapASingA( F/ GCD ); |
---|
874 | gg= convClapASingA( G/ GCD ); |
---|
875 | } |
---|
876 | } |
---|
877 | else |
---|
878 | { |
---|
879 | CanonicalForm F( convSingTrClapP( f ) ), G( convSingTrClapP( g ) ); |
---|
880 | CanonicalForm GCD=gcd( F, G ); |
---|
881 | if (GCD!=1) |
---|
882 | { |
---|
883 | ff= convClapPSingTr( F/ GCD ); |
---|
884 | gg= convClapPSingTr( G/ GCD ); |
---|
885 | } |
---|
886 | } |
---|
887 | Off(SW_RATIONAL); |
---|
888 | } |
---|
889 | #endif |
---|