1 | /**************************************** |
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2 | * Computer Algebra System SINGULAR * |
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3 | ****************************************/ |
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4 | /* $Id: gr_kstd2.cc,v 1.15 2008-07-26 18:11:42 Singular Exp $ */ |
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5 | /* |
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6 | * ABSTRACT - Kernel: noncomm. alg. of Buchberger |
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7 | */ |
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8 | |
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9 | #include "mod2.h" |
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10 | |
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11 | #ifdef HAVE_PLURAL |
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12 | |
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13 | #define PLURAL_INTERNAL_DECLARATIONS |
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14 | |
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15 | #include "omalloc.h" |
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16 | #include "polys.h" |
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17 | #include "ideals.h" |
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18 | #include "febase.h" |
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19 | #include "kutil.h" |
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20 | #include "kstd1.h" |
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21 | #include "khstd.h" |
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22 | #include "kutil.h" |
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23 | //#include "spolys.h" |
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24 | //#include "cntrlc.h" |
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25 | #include "weight.h" |
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26 | #include "intvec.h" |
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27 | #include "structs.h" |
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28 | #include "gring.h" |
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29 | #include "sca.h" |
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30 | |
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31 | #if 0 |
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32 | /*3 |
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33 | * reduction of p2 with p1 |
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34 | * do not destroy p1 and p2 |
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35 | * p1 divides p2 -> for use in NF algorithm |
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36 | */ |
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37 | poly gnc_ReduceSpolyNew(const poly p1, poly p2/*,poly spNoether*/, const ring r) |
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38 | { |
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39 | return(nc_ReduceSPoly(p1,p_Copy(p2,r)/*,spNoether*/,r)); |
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40 | } |
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41 | #endif |
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42 | |
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43 | /*2 |
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44 | *reduces h with elements from T choosing the first possible |
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45 | * element in t with respect to the given pDivisibleBy |
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46 | */ |
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47 | int redGrFirst (LObject* h,kStrategy strat) |
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48 | { |
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49 | int at,reddeg,d,i; |
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50 | int pass = 0; |
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51 | int j = 0; |
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52 | |
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53 | d = pFDeg((*h).p,currRing)+(*h).ecart; |
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54 | reddeg = strat->LazyDegree+d; |
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55 | loop |
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56 | { |
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57 | if (j > strat->sl) |
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58 | { |
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59 | if (TEST_OPT_DEBUG) PrintLn(); |
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60 | return 0; |
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61 | } |
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62 | if (TEST_OPT_DEBUG) Print("%d",j); |
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63 | if (pDivisibleBy(strat->S[j],(*h).p)) |
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64 | { |
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65 | if (TEST_OPT_DEBUG) PrintS("+\n"); |
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66 | /* |
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67 | * the polynomial to reduce with is; |
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68 | * T[j].p |
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69 | */ |
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70 | if (!TEST_OPT_INTSTRATEGY) |
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71 | pNorm(strat->S[j]); |
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72 | if (TEST_OPT_DEBUG) |
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73 | { |
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74 | wrp(h->p); |
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75 | PrintS(" with "); |
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76 | wrp(strat->S[j]); |
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77 | } |
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78 | (*h).p = nc_ReduceSpoly(strat->S[j],(*h).p, currRing); |
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79 | //spSpolyRed(strat->T[j].p,(*h).p,strat->kNoether); |
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80 | |
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81 | if (TEST_OPT_DEBUG) |
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82 | { |
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83 | PrintS(" to "); |
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84 | wrp(h->p); |
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85 | } |
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86 | if ((*h).p == NULL) |
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87 | { |
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88 | if (h->lcm!=NULL) p_LmFree((*h).lcm, currRing); |
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89 | return 0; |
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90 | } |
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91 | if (TEST_OPT_INTSTRATEGY) |
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92 | { |
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93 | if (rField_is_Zp_a()) pContent(h->p); |
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94 | else pCleardenom(h->p);// also does a pContent |
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95 | } |
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96 | /*computes the ecart*/ |
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97 | d = pLDeg((*h).p,&((*h).length),currRing); |
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98 | (*h).FDeg=pFDeg((*h).p,currRing); |
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99 | (*h).ecart = d-(*h).FDeg; /*pFDeg((*h).p);*/ |
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100 | if ((strat->syzComp!=0) && !strat->honey) |
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101 | { |
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102 | if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
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103 | { |
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104 | if (TEST_OPT_DEBUG) PrintS(" > sysComp\n"); |
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105 | return 0; |
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106 | } |
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107 | } |
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108 | /*- try to reduce the s-polynomial -*/ |
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109 | pass++; |
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110 | /* |
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111 | *test whether the polynomial should go to the lazyset L |
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112 | *-if the degree jumps |
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113 | *-if the number of pre-defined reductions jumps |
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114 | */ |
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115 | if ((strat->Ll >= 0) |
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116 | && ((d >= reddeg) || (pass > strat->LazyPass)) |
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117 | && !strat->homog) |
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118 | { |
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119 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
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120 | if (at <= strat->Ll) |
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121 | { |
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122 | i=strat->sl+1; |
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123 | do |
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124 | { |
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125 | i--; |
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126 | if (i<0) return 0; |
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127 | } while (!pDivisibleBy(strat->S[i],(*h).p)); |
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128 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
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129 | if (TEST_OPT_DEBUG) Print(" degree jumped; ->L%d\n",at); |
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130 | (*h).p = NULL; |
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131 | return 0; |
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132 | } |
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133 | } |
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134 | if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d >= reddeg)) |
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135 | { |
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136 | reddeg = d+1; |
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137 | Print(".%d",d);mflush(); |
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138 | } |
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139 | j = 0; |
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140 | if TEST_OPT_DEBUG PrintLn(); |
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141 | } |
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142 | else |
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143 | { |
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144 | if (TEST_OPT_DEBUG) PrintS("-"); |
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145 | j++; |
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146 | } |
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147 | } |
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148 | } |
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149 | void ratGB_divide_out(poly p) |
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150 | { |
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151 | if (p==NULL) return; |
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152 | poly root=p; |
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153 | assume(currRing->real_var_start>0); |
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154 | poly f=pHead(p); |
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155 | int i; |
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156 | for (i=currRing->real_var_start;i<=currRing->real_var_end;i++) |
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157 | { |
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158 | pSetExp(f,i,0); |
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159 | } |
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160 | loop |
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161 | { |
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162 | pIter(p); |
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163 | if (p==NULL) { pSetm(f); break;} |
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164 | for (i=1;i<=rVar(currRing);i++) |
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165 | { |
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166 | pSetExp(f,i,si_min(pGetExp(f,i),pGetExp(p,i))); |
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167 | } |
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168 | } |
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169 | if (!pIsConstant(f)) |
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170 | { |
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171 | if (TEST_OPT_DEBUG) |
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172 | { |
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173 | PrintS("divide out:");p_wrp(f,currRing); |
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174 | PrintS(" from ");pWrite(root); |
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175 | } |
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176 | p=root; |
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177 | loop |
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178 | { |
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179 | if (p==NULL) break; |
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180 | for (i=1;i<=rVar(currRing);i++) |
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181 | { |
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182 | pSetExp(p,i,pGetExp(p,i)-pGetExp(f,i)); |
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183 | } |
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184 | pSetm(p); |
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185 | pIter(p); |
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186 | } |
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187 | } |
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188 | pDelete(&f); |
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189 | } |
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190 | /*2 |
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191 | *reduces h with elements from T choosing the first possible |
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192 | * element in t with respect to the given pDivisibleBy |
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193 | * for use in ratGB |
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194 | */ |
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195 | int redGrRatGB (LObject* h,kStrategy strat) |
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196 | { |
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197 | int at,reddeg,d,i; |
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198 | int pass = 0; |
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199 | int j = 0; |
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200 | int c_j=-1, c_e=-1; |
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201 | poly c_p=NULL; |
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202 | assume(strat->tailRing==currRing); |
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203 | |
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204 | ratGB_divide_out((*h).p); |
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205 | d = pFDeg((*h).p,currRing)+(*h).ecart; |
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206 | reddeg = strat->LazyDegree+d; |
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207 | if (!TEST_OPT_INTSTRATEGY) |
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208 | { |
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209 | if (rField_is_Zp_a()) pContent(h->p); |
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210 | else pCleardenom(h->p);// also does a pContent |
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211 | } |
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212 | loop |
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213 | { |
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214 | if (j > strat->sl) |
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215 | { |
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216 | if (c_j>=0) |
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217 | { |
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218 | /* |
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219 | * the polynomial to reduce with is; |
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220 | * S[c_j] |
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221 | */ |
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222 | if (!TEST_OPT_INTSTRATEGY) |
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223 | pNorm(strat->S[c_j]); |
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224 | if (TEST_OPT_DEBUG) |
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225 | { |
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226 | wrp(h->p); |
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227 | PrintS(" with "); |
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228 | wrp(strat->S[c_j]); |
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229 | } |
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230 | //poly hh = nc_CreateSpoly(strat->S[c_j],(*h).p, currRing); |
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231 | poly hh=c_p; c_p=NULL; |
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232 | pDelete(&((*h).p)); |
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233 | (*h).p=hh; |
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234 | if (!TEST_OPT_INTSTRATEGY) |
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235 | { |
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236 | if (rField_is_Zp_a()) pContent(h->p); |
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237 | else pCleardenom(h->p);// also does a pContent |
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238 | } |
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239 | |
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240 | if (TEST_OPT_DEBUG) |
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241 | { |
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242 | PrintS(" to "); |
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243 | wrp(h->p); |
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244 | } |
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245 | if ((*h).p == NULL) |
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246 | { |
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247 | if (h->lcm!=NULL) p_LmFree((*h).lcm, currRing); |
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248 | return 0; |
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249 | } |
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250 | ratGB_divide_out((*h).p); |
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251 | d = pLDeg((*h).p,&((*h).length),currRing); |
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252 | (*h).FDeg=pFDeg((*h).p,currRing); |
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253 | (*h).ecart = d-(*h).FDeg; /*pFDeg((*h).p);*/ |
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254 | /*- try to reduce the s-polynomial again -*/ |
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255 | pass++; |
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256 | j=0; |
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257 | } |
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258 | else |
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259 | { // nothing found |
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260 | return 0; |
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261 | } |
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262 | } |
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263 | if (p_LmDivisibleByPart(strat->S[j],(*h).p,currRing, |
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264 | currRing->real_var_start,currRing->real_var_end)) |
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265 | { |
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266 | int a_e=(pTotaldegree(strat->S[j],currRing)-pFDeg(strat->S[j],currRing)); |
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267 | if (TEST_OPT_DEBUG) { Print("j=%d, e=%d\n",j,a_e); } |
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268 | if ((c_e==-1)||(c_e>a_e)) |
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269 | { |
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270 | c_e=a_e; c_j=j; |
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271 | pDelete(&c_p); |
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272 | c_p = nc_CreateSpoly(pCopy(strat->S[c_j]),pCopy((*h).p), currRing); |
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273 | } |
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274 | else if (c_e == a_e) |
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275 | { |
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276 | poly cc_pp= nc_CreateSpoly(pCopy(strat->S[j]),pCopy((*h).p), currRing); |
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277 | if (((cc_pp==NULL)&&(c_p!=NULL)) || (pCmp(cc_pp,c_p)==-1)) |
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278 | { |
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279 | assume(pTotaldegree(cc_pp)<=pTotaldegree(c_p)); |
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280 | c_e=a_e; c_j=j; |
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281 | pDelete(&c_p); |
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282 | c_p = cc_pp; |
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283 | } |
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284 | } |
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285 | /*computes the ecart*/ |
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286 | if ((strat->syzComp!=0) && !strat->honey) |
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287 | { |
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288 | if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
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289 | { |
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290 | if (TEST_OPT_DEBUG) PrintS(" > sysComp\n"); |
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291 | return 0; |
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292 | } |
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293 | } |
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294 | } |
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295 | else |
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296 | { |
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297 | if (TEST_OPT_DEBUG) PrintS("-\n"); |
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298 | } |
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299 | j++; |
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300 | } |
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301 | } |
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302 | |
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303 | /*2 |
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304 | * reduction procedure for the homogeneous case |
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305 | * and the case of a degree-ordering |
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306 | */ |
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307 | static int nc_redHomog (LObject* h,kStrategy strat) |
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308 | { |
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309 | if (strat->tl<0) |
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310 | { |
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311 | enterT((*h),strat); |
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312 | return 1; |
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313 | } |
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314 | |
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315 | int j = 0; |
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316 | |
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317 | if (TEST_OPT_DEBUG) |
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318 | { |
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319 | PrintS("red:"); |
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320 | wrp(h->p); |
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321 | PrintS(" "); |
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322 | } |
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323 | loop |
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324 | { |
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325 | if (TEST_OPT_DEBUG) Print("%d",j); |
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326 | if (pDivisibleBy(strat->S[j],(*h).p)) |
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327 | { |
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328 | if (TEST_OPT_DEBUG) |
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329 | { |
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330 | PrintS("+\nwith "); |
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331 | wrp(strat->S[j]); |
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332 | } |
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333 | /*- compute the s-polynomial -*/ |
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334 | (*h).p = nc_ReduceSpoly(strat->S[j],(*h).p,currRing); |
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335 | if ((*h).p == NULL) |
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336 | { |
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337 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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338 | if (h->lcm!=NULL) pLmFree((*h).lcm); |
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339 | (*h).lcm=NULL; |
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340 | return 0; |
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341 | } |
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342 | /* |
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343 | * else if (strat->syzComp) |
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344 | * { |
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345 | * if (pMinComp((*h).p) > strat->syzComp) |
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346 | * { |
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347 | * enterT((*h),strat); |
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348 | * return; |
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349 | * } |
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350 | * } |
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351 | */ |
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352 | /*- try to reduce the s-polynomial -*/ |
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353 | j = 0; |
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354 | } |
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355 | else |
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356 | { |
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357 | if (j >= strat->sl) |
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358 | { |
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359 | enterT((*h),strat); |
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360 | return 1; |
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361 | } |
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362 | j++; |
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363 | } |
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364 | } |
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365 | } |
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366 | |
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367 | #if 0 |
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368 | /*2 |
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369 | * reduction procedure for the homogeneous case |
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370 | * and the case of a degree-ordering |
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371 | */ |
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372 | static int nc_redHomog0 (LObject* h,kStrategy strat) |
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373 | { |
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374 | if (strat->tl<0) |
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375 | { |
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376 | enterT((*h),strat); |
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377 | return 0; |
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378 | } |
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379 | |
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380 | int j = 0; |
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381 | int k = 0; |
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382 | |
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383 | if (TEST_OPT_DEBUG) |
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384 | { |
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385 | PrintS("red:"); |
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386 | wrp(h->p); |
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387 | PrintS(" "); |
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388 | } |
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389 | loop |
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390 | { |
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391 | if (TEST_OPT_DEBUG) Print("%d",j); |
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392 | if (pDivisibleBy(strat->T[j].p,(*h).p)) |
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393 | { |
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394 | if (TEST_OPT_DEBUG) |
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395 | { |
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396 | PrintS("+\nwith "); |
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397 | wrp(strat->S[j]); |
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398 | } |
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399 | /*- compute the s-polynomial -*/ |
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400 | (*h).p = nc_ReduceSpoly(strat->T[j].p,(*h).p,strat->kNoether,currRing); |
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401 | if ((*h).p == NULL) |
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402 | { |
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403 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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404 | if (h->lcm!=NULL) pLmFree((*h).lcm); |
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405 | (*h).lcm=NULL; |
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406 | return 0; |
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407 | } |
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408 | else |
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409 | { |
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410 | if (TEST_OPT_INTSTRATEGY) |
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411 | { |
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412 | if (rField_is_Zp_a()) pContent(h->p); |
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413 | else pCleardenom(h->p);// also does a pContent |
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414 | } |
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415 | if (strat->syzComp!=0) |
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416 | { |
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417 | if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
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418 | { |
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419 | /* |
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420 | * (*h).length=pLength0((*h).p); |
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421 | */ |
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422 | enterT((*h),strat); |
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423 | return 0; |
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424 | } |
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425 | } |
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426 | } |
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427 | /*- try to reduce the s-polynomial -*/ |
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428 | j = 0; |
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429 | } |
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430 | else |
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431 | { |
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432 | if (j >= strat->tl) |
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433 | { |
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434 | if (TEST_OPT_INTSTRATEGY) |
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435 | { |
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436 | if (rField_is_Zp_a()) pContent(h->p); |
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437 | else pCleardenom(h->p);// also does a pContent |
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438 | } |
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439 | /* |
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440 | * (*h).length=pLength0((*h).p); |
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441 | */ |
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442 | enterT((*h),strat); |
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443 | return 0; |
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444 | } |
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445 | j++; |
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446 | } |
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447 | } |
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448 | } |
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449 | |
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450 | /*2 |
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451 | * reduction procedure for the inhomogeneous case |
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452 | * and not a degree-ordering |
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453 | */ |
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454 | static int nc_redLazy (LObject* h,kStrategy strat) |
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455 | { |
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456 | if (strat->tl<0) |
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457 | { |
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458 | enterT((*h),strat); |
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459 | return 0; |
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460 | } |
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461 | |
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462 | int at,d,i; |
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463 | int j = 0; |
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464 | int pass = 0; |
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465 | int reddeg = pFDeg((*h).p,currRing); |
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466 | |
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467 | if (TEST_OPT_DEBUG) |
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468 | { |
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469 | PrintS("red:"); |
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470 | wrp(h->p); |
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471 | PrintS(" "); |
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472 | } |
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473 | loop |
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474 | { |
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475 | if (TEST_OPT_DEBUG) Print("%d",j); |
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476 | if (pDivisibleBy(strat->S[j],(*h).p)) |
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477 | { |
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478 | if (TEST_OPT_DEBUG) |
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479 | { |
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480 | PrintS("+\nwith "); |
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481 | wrp(strat->S[j]); |
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482 | } |
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483 | /*- compute the s-polynomial -*/ |
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484 | (*h).p = nc_ReduceSpoly(strat->S[j],(*h).p,strat->kNoether,currRing); |
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485 | if ((*h).p == NULL) |
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486 | { |
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487 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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488 | if (h->lcm!=NULL) pLmFree((*h).lcm); |
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489 | (*h).lcm=NULL; |
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490 | return 0; |
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491 | } |
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492 | // else if (strat->syzComp) |
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493 | // { |
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494 | // if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
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495 | // { |
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496 | // if (TEST_OPT_DEBUG) PrintS(" > syzComp\n"); |
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497 | // if (TEST_OPT_INTSTRATEGY) pContent(h->p); |
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498 | // enterTBba((*h),strat->tl+1,strat); |
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499 | // return; |
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500 | // } |
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501 | // } |
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502 | else |
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503 | { |
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504 | if (TEST_OPT_DEBUG) |
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505 | { |
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506 | PrintS("to:"); |
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507 | wrp((*h).p); |
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508 | PrintLn(); |
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509 | } |
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510 | if (TEST_OPT_INTSTRATEGY) |
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511 | { |
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512 | pContent(h->p); |
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513 | //pCleardenom(h->p);// also does a pContent |
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514 | } |
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515 | } |
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516 | /*- try to reduce the s-polynomial -*/ |
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517 | pass++; |
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518 | d = pFDeg((*h).p,currRing); |
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519 | if ((strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
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520 | { |
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521 | at = posInL11(strat->L,strat->Ll,h,strat); |
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522 | if (at <= strat->Ll) |
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523 | { |
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524 | i=strat->sl+1; |
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525 | do |
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526 | { |
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527 | i--; |
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528 | if (i<0) |
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529 | { |
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530 | enterT((*h),strat); |
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531 | return 0; |
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532 | } |
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533 | } |
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534 | while (!pDivisibleBy(strat->S[i],(*h).p)); |
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535 | if (TEST_OPT_DEBUG) Print(" ->L[%d]\n",at); |
---|
536 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
537 | (*h).p = NULL; |
---|
538 | return 0; |
---|
539 | } |
---|
540 | } |
---|
541 | else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d != reddeg)) |
---|
542 | { |
---|
543 | Print(".%d",d);mflush(); |
---|
544 | reddeg = d; |
---|
545 | } |
---|
546 | j = 0; |
---|
547 | } |
---|
548 | else |
---|
549 | { |
---|
550 | if (TEST_OPT_DEBUG) PrintS("-"); |
---|
551 | if (j >= strat->sl) |
---|
552 | { |
---|
553 | if (TEST_OPT_DEBUG) PrintLn(); |
---|
554 | if (TEST_OPT_INTSTRATEGY) |
---|
555 | { |
---|
556 | if (rField_is_Zp_a()) pContent(h->p); |
---|
557 | else pCleardenom(h->p);// also does a pContent |
---|
558 | } |
---|
559 | enterT((*h),strat); |
---|
560 | return 0; |
---|
561 | } |
---|
562 | j++; |
---|
563 | } |
---|
564 | } |
---|
565 | } |
---|
566 | |
---|
567 | /*2 |
---|
568 | * reduction procedure for the sugar-strategy (honey) |
---|
569 | * reduces h with elements from T choosing first possible |
---|
570 | * element in T with respect to the given ecart |
---|
571 | */ |
---|
572 | static int nc_redHoney (LObject* h,kStrategy strat) |
---|
573 | { |
---|
574 | if (strat->tl<0) |
---|
575 | { |
---|
576 | enterT((*h),strat); |
---|
577 | return 0; |
---|
578 | } |
---|
579 | |
---|
580 | poly pi; |
---|
581 | int i,j,at,reddeg,d,pass,ei; |
---|
582 | |
---|
583 | pass = j = 0; |
---|
584 | d = reddeg = pFDeg((*h).p,currRing)+(*h).ecart; |
---|
585 | if (TEST_OPT_DEBUG) |
---|
586 | { |
---|
587 | PrintS("red:"); |
---|
588 | wrp((*h).p); |
---|
589 | } |
---|
590 | loop |
---|
591 | { |
---|
592 | if (TEST_OPT_DEBUG) Print("%d",j); |
---|
593 | if (pDivisibleBy(strat->T[j].p,(*h).p)) |
---|
594 | { |
---|
595 | if (TEST_OPT_DEBUG) PrintS("+"); |
---|
596 | pi = strat->T[j].p; |
---|
597 | ei = strat->T[j].ecart; |
---|
598 | /* |
---|
599 | * the polynomial to reduce with (up to the moment) is; |
---|
600 | * pi with ecart ei |
---|
601 | */ |
---|
602 | i = j; |
---|
603 | loop |
---|
604 | { |
---|
605 | /*- takes the first possible with respect to ecart -*/ |
---|
606 | i++; |
---|
607 | if (i > strat->tl) |
---|
608 | break; |
---|
609 | if ((!BTEST1(20)) && (ei <= (*h).ecart)) |
---|
610 | break; |
---|
611 | if (TEST_OPT_DEBUG) Print("%d",i); |
---|
612 | if ((strat->T[i].ecart < ei) && pDivisibleBy(strat->T[i].p,(*h).p)) |
---|
613 | { |
---|
614 | if (TEST_OPT_DEBUG) PrintS("+"); |
---|
615 | /* |
---|
616 | * the polynomial to reduce with is now; |
---|
617 | */ |
---|
618 | pi = strat->T[i].p; |
---|
619 | ei = strat->T[i].ecart; |
---|
620 | } |
---|
621 | else if (TEST_OPT_DEBUG) PrintS("-"); |
---|
622 | } |
---|
623 | |
---|
624 | /* |
---|
625 | * end of search: have to reduce with pi |
---|
626 | */ |
---|
627 | if (ei > (*h).ecart) |
---|
628 | { |
---|
629 | /* |
---|
630 | * It is not possible to reduce h with smaller ecart; |
---|
631 | * if possible h goes to the lazy-set L,i.e |
---|
632 | * if its position in L would be not the last one |
---|
633 | */ |
---|
634 | if (strat->Ll >= 0) /* L is not empty */ |
---|
635 | { |
---|
636 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
637 | if(at <= strat->Ll) |
---|
638 | /*- h will not become the next element to reduce -*/ |
---|
639 | { |
---|
640 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
641 | if (TEST_OPT_DEBUG) Print(" ecart too big: -> L%d\n",at); |
---|
642 | (*h).p = NULL; |
---|
643 | return 0; |
---|
644 | } |
---|
645 | } |
---|
646 | } |
---|
647 | if (TEST_OPT_DEBUG) |
---|
648 | { |
---|
649 | PrintS("\nwith "); |
---|
650 | wrp(pi); |
---|
651 | } |
---|
652 | if (strat->fromT) |
---|
653 | { |
---|
654 | strat->fromT=FALSE; |
---|
655 | (*h).p = nc_ReduceSpoly(pi,(*h).p,strat->kNoether,currRing); |
---|
656 | } |
---|
657 | else |
---|
658 | (*h).p = nc_ReduceSpoly(pi,(*h).p,strat->kNoether,currRing); |
---|
659 | if (TEST_OPT_DEBUG) |
---|
660 | { |
---|
661 | PrintS(" to "); |
---|
662 | wrp((*h).p); |
---|
663 | PrintLn(); |
---|
664 | } |
---|
665 | if ((*h).p == NULL) |
---|
666 | { |
---|
667 | if (h->lcm!=NULL) pLmFree((*h).lcm); |
---|
668 | (*h).lcm=NULL; |
---|
669 | return 0; |
---|
670 | } |
---|
671 | if (TEST_OPT_INTSTRATEGY) |
---|
672 | { |
---|
673 | //pContent(h->p); |
---|
674 | pCleardenom(h->p);// also does a pContent |
---|
675 | } |
---|
676 | /* compute the ecart */ |
---|
677 | if (ei <= (*h).ecart) |
---|
678 | (*h).ecart = d-pFDeg((*h).p,currRing); |
---|
679 | else |
---|
680 | (*h).ecart = d-pFDeg((*h).p,currRing)+ei-(*h).ecart; |
---|
681 | // if (strat->syzComp) |
---|
682 | // { |
---|
683 | // if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
---|
684 | // { |
---|
685 | // if (TEST_OPT_DEBUG) |
---|
686 | // PrintS(" >syzComp\n"); |
---|
687 | // if (TEST_OPT_INTSTRATEGY) pContent(h->p); |
---|
688 | // at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
689 | // enterTBba((*h),at,strat); |
---|
690 | // return; |
---|
691 | // } |
---|
692 | // } |
---|
693 | /* |
---|
694 | * try to reduce the s-polynomial h |
---|
695 | *test first whether h should go to the lazyset L |
---|
696 | *-if the degree jumps |
---|
697 | *-if the number of pre-defined reductions jumps |
---|
698 | */ |
---|
699 | pass++; |
---|
700 | d = pFDeg((*h).p,currRing)+(*h).ecart; |
---|
701 | if ((strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
---|
702 | { |
---|
703 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
704 | if (at <= strat->Ll) |
---|
705 | { |
---|
706 | /*test if h is already standardbasis element*/ |
---|
707 | i=strat->sl+1; |
---|
708 | do |
---|
709 | { |
---|
710 | i--; |
---|
711 | if (i<0) |
---|
712 | { |
---|
713 | enterT((*h),strat); |
---|
714 | return 0; |
---|
715 | } |
---|
716 | } while (!pDivisibleBy(strat->S[i],(*h).p)); |
---|
717 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
718 | if (TEST_OPT_DEBUG) |
---|
719 | Print(" degree jumped: -> L%d\n",at); |
---|
720 | (*h).p = NULL; |
---|
721 | return 0; |
---|
722 | } |
---|
723 | } |
---|
724 | else if (TEST_OPT_PROT && (strat->Ll < 0) && (d > reddeg)) |
---|
725 | { |
---|
726 | reddeg = d; |
---|
727 | Print(".%d",d); mflush(); |
---|
728 | } |
---|
729 | j = 0; |
---|
730 | } |
---|
731 | else |
---|
732 | { |
---|
733 | if (TEST_OPT_DEBUG) PrintS("-"); |
---|
734 | if (j >= strat->tl) |
---|
735 | { |
---|
736 | if (TEST_OPT_DEBUG) PrintLn(); |
---|
737 | if (TEST_OPT_INTSTRATEGY) |
---|
738 | { |
---|
739 | //pContent(h->p); |
---|
740 | pCleardenom(h->p);// also does a pContent |
---|
741 | } |
---|
742 | enterT((*h),strat); |
---|
743 | return 0; |
---|
744 | } |
---|
745 | j++; |
---|
746 | } |
---|
747 | } |
---|
748 | } |
---|
749 | |
---|
750 | /*2 |
---|
751 | * reduction procedure for tests only |
---|
752 | * reduces with elements from T and chooses the best possible |
---|
753 | */ |
---|
754 | static int nc_redBest (LObject* h,kStrategy strat) |
---|
755 | { |
---|
756 | if (strat->tl<0) |
---|
757 | { |
---|
758 | enterT((*h),strat); |
---|
759 | return 0; |
---|
760 | } |
---|
761 | |
---|
762 | int j,jbest,at,reddeg,d,pass; |
---|
763 | poly p,ph; |
---|
764 | pass = j = 0; |
---|
765 | |
---|
766 | if (strat->honey) |
---|
767 | reddeg = pFDeg((*h).p,currRing)+(*h).ecart; |
---|
768 | else |
---|
769 | reddeg = pFDeg((*h).p,currRing); |
---|
770 | loop |
---|
771 | { |
---|
772 | if (pDivisibleBy(strat->T[j].p,(*h).p)) |
---|
773 | { |
---|
774 | /* compute the s-polynomial */ |
---|
775 | if (!TEST_OPT_INTSTRATEGY) pNorm((*h).p); |
---|
776 | #ifdef SDRING |
---|
777 | // spSpolyShortBba will not work in the SRING case |
---|
778 | if (pSDRING) |
---|
779 | { |
---|
780 | p=spSpolyCreate(strat->T[j].p,(*h).p,strat->kNoether); |
---|
781 | if (p!=NULL) pDelete(&pNext(p)); |
---|
782 | } |
---|
783 | else |
---|
784 | #endif |
---|
785 | p = nc_CreateShortSpoly(strat->T[j].p,(*h).p); |
---|
786 | /* computes only the first monomial of the spoly */ |
---|
787 | if (p) |
---|
788 | { |
---|
789 | jbest = j; |
---|
790 | /* looking for the best possible reduction */ |
---|
791 | if ((strat->syzComp==0) || (pMinComp(p) <= strat->syzComp)) |
---|
792 | { |
---|
793 | loop |
---|
794 | { |
---|
795 | j++; |
---|
796 | if (j > strat->tl) |
---|
797 | break; |
---|
798 | if (pDivisibleBy(strat->T[j].p,(*h).p)) |
---|
799 | { |
---|
800 | #ifdef SDRING |
---|
801 | // spSpolyShortBba will not work in the SRING case |
---|
802 | if (pSDRING) |
---|
803 | { |
---|
804 | ph=spSpolyCreate(strat->T[j].p,(*h).p,strat->kNoether); |
---|
805 | if (ph!=NULL) pDelete(&pNext(ph)); |
---|
806 | } |
---|
807 | else |
---|
808 | #endif |
---|
809 | ph = nc_CreateShortSpoly(strat->T[j].p,(*h).p); |
---|
810 | if (ph==NULL) |
---|
811 | { |
---|
812 | pLmFree(p); |
---|
813 | pDelete(&((*h).p)); |
---|
814 | if (h->lcm!=NULL) |
---|
815 | { |
---|
816 | pLmFree((*h).lcm); |
---|
817 | (*h).lcm=NULL; |
---|
818 | } |
---|
819 | return 0; |
---|
820 | } |
---|
821 | else if (pLmCmp(ph,p) == -1) |
---|
822 | { |
---|
823 | pLmFree(p); |
---|
824 | p = ph; |
---|
825 | jbest = j; |
---|
826 | } |
---|
827 | else |
---|
828 | { |
---|
829 | pLmFree(ph); |
---|
830 | } |
---|
831 | } |
---|
832 | } |
---|
833 | } |
---|
834 | pLmFree(p); |
---|
835 | (*h).p = nc_ReduceSpoly(strat->T[jbest].p,(*h).p,strat->kNoether,currRing); |
---|
836 | } |
---|
837 | else |
---|
838 | { |
---|
839 | if (h->lcm!=NULL) |
---|
840 | { |
---|
841 | pLmFree((*h).lcm); |
---|
842 | (*h).lcm=NULL; |
---|
843 | } |
---|
844 | (*h).p = NULL; |
---|
845 | return 0; |
---|
846 | } |
---|
847 | if (strat->honey && pLexOrder) |
---|
848 | strat->initEcart(h); |
---|
849 | /* h.length:=l; */ |
---|
850 | /* try to reduce the s-polynomial */ |
---|
851 | // if (strat->syzComp) |
---|
852 | // { |
---|
853 | // if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
---|
854 | // { |
---|
855 | // if (TEST_OPT_DEBUG) |
---|
856 | // PrintS(" >syzComp\n"); |
---|
857 | // if (TEST_OPT_INTSTRATEGY) pContent(h->p); |
---|
858 | // at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
859 | // enterTBba((*h),at,strat); |
---|
860 | // return; |
---|
861 | // } |
---|
862 | // } |
---|
863 | if (strat->honey || pLexOrder) |
---|
864 | { |
---|
865 | pass++; |
---|
866 | d = pFDeg((*h).p,currRing); |
---|
867 | if (strat->honey) |
---|
868 | d += (*h).ecart; |
---|
869 | if ((strat->Ll >= 0) && ((pass > strat->LazyPass) || (d > reddeg))) |
---|
870 | { |
---|
871 | at = strat->posInL(strat->L,strat->Ll,h,strat); |
---|
872 | if (at <= strat->Ll) |
---|
873 | { |
---|
874 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
875 | (*h).p = NULL; |
---|
876 | return 0; |
---|
877 | } |
---|
878 | } |
---|
879 | else if (TEST_OPT_PROT && (strat->Ll < 0) && (d != reddeg)) |
---|
880 | { |
---|
881 | reddeg = d; |
---|
882 | Print("%d."); |
---|
883 | mflush(); |
---|
884 | } |
---|
885 | } |
---|
886 | j = 0; |
---|
887 | } |
---|
888 | else |
---|
889 | { |
---|
890 | if (j >= strat->tl) |
---|
891 | { |
---|
892 | if (TEST_OPT_INTSTRATEGY) |
---|
893 | { |
---|
894 | //pContent(h->p); |
---|
895 | pCleardenom(h->p);// also does a pContent |
---|
896 | } |
---|
897 | enterT((*h),strat); |
---|
898 | return 0; |
---|
899 | } |
---|
900 | j++; |
---|
901 | } |
---|
902 | } |
---|
903 | } |
---|
904 | |
---|
905 | #endif |
---|
906 | |
---|
907 | void nc_gr_initBba(ideal F, kStrategy strat) |
---|
908 | { |
---|
909 | assume(rIsPluralRing(currRing)); |
---|
910 | |
---|
911 | int i; |
---|
912 | idhdl h; |
---|
913 | /* setting global variables ------------------- */ |
---|
914 | strat->enterS = enterSBba; |
---|
915 | |
---|
916 | /* |
---|
917 | if ((BTEST1(20)) && (!strat->honey)) |
---|
918 | strat->red = nc_redBest; |
---|
919 | else if (strat->honey) |
---|
920 | strat->red = nc_redHoney; |
---|
921 | else if (pLexOrder && !strat->homog) |
---|
922 | strat->red = nc_redLazy; |
---|
923 | else if (TEST_OPT_INTSTRATEGY && strat->homog) |
---|
924 | strat->red = nc_redHomog0; |
---|
925 | else |
---|
926 | strat->red = nc_redHomog; |
---|
927 | */ |
---|
928 | |
---|
929 | // if (rIsPluralRing(currRing)) |
---|
930 | strat->red = redGrFirst; |
---|
931 | if (currRing->real_var_start>0) |
---|
932 | strat->red=redGrRatGB; |
---|
933 | |
---|
934 | if (pLexOrder && strat->honey) |
---|
935 | strat->initEcart = initEcartNormal; |
---|
936 | else |
---|
937 | strat->initEcart = initEcartBBA; |
---|
938 | if (strat->honey) |
---|
939 | strat->initEcartPair = initEcartPairMora; |
---|
940 | else |
---|
941 | strat->initEcartPair = initEcartPairBba; |
---|
942 | strat->kIdeal = NULL; |
---|
943 | //if (strat->ak==0) strat->kIdeal->rtyp=IDEAL_CMD; |
---|
944 | //else strat->kIdeal->rtyp=MODUL_CMD; |
---|
945 | //strat->kIdeal->data=(void *)strat->Shdl; |
---|
946 | if ((TEST_OPT_WEIGHTM)&&(F!=NULL)) |
---|
947 | { |
---|
948 | //interred machen Aenderung |
---|
949 | pFDegOld=pFDeg; |
---|
950 | pLDegOld=pLDeg; |
---|
951 | // h=ggetid("ecart"); |
---|
952 | // if ((h!=NULL) && (IDTYP(h)==INTVEC_CMD)) |
---|
953 | // { |
---|
954 | // ecartWeights=iv2array(IDINTVEC(h)); |
---|
955 | // } |
---|
956 | // else |
---|
957 | { |
---|
958 | ecartWeights=(short *)omAlloc((pVariables+1)*sizeof(short)); |
---|
959 | /*uses automatic computation of the ecartWeights to set them*/ |
---|
960 | kEcartWeights(F->m,IDELEMS(F)-1,ecartWeights); |
---|
961 | } |
---|
962 | pFDeg=totaldegreeWecart; |
---|
963 | pLDeg=maxdegreeWecart; |
---|
964 | for(i=1; i<=pVariables; i++) |
---|
965 | Print(" %d",ecartWeights[i]); |
---|
966 | PrintLn(); |
---|
967 | mflush(); |
---|
968 | } |
---|
969 | } |
---|
970 | |
---|
971 | #define MYTEST 0 |
---|
972 | |
---|
973 | ideal gnc_gr_bba(const ideal F, const ideal Q, const intvec *, const intvec *, kStrategy strat) |
---|
974 | { |
---|
975 | #if MYTEST |
---|
976 | PrintS("<gnc_gr_bba>\n"); |
---|
977 | #endif |
---|
978 | |
---|
979 | #ifdef HAVE_PLURAL |
---|
980 | #if MYTEST |
---|
981 | PrintS("currRing: \n"); |
---|
982 | rWrite(currRing); |
---|
983 | #ifdef RDEBUG |
---|
984 | rDebugPrint(currRing); |
---|
985 | #endif |
---|
986 | |
---|
987 | PrintS("F: \n"); |
---|
988 | idPrint(F); |
---|
989 | PrintS("Q: \n"); |
---|
990 | idPrint(Q); |
---|
991 | #endif |
---|
992 | #endif |
---|
993 | |
---|
994 | |
---|
995 | |
---|
996 | assume(pOrdSgn != -1); // no mora!!! it terminates only for global ordering!!! (?) |
---|
997 | |
---|
998 | intvec *w=NULL; |
---|
999 | intvec *hilb=NULL; |
---|
1000 | int srmax,lrmax; |
---|
1001 | int olddeg,reduc; |
---|
1002 | int red_result=1; |
---|
1003 | int hilbeledeg=1,hilbcount=0,minimcnt=0; |
---|
1004 | |
---|
1005 | initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit*/ |
---|
1006 | // initHilbCrit(F,Q,&hilb,strat); |
---|
1007 | /* in plural we don't need Hilb yet */ |
---|
1008 | nc_gr_initBba(F,strat); |
---|
1009 | initBuchMoraPos(strat); |
---|
1010 | /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/ |
---|
1011 | /*Shdl=*/initBuchMora(F, Q,strat); |
---|
1012 | strat->posInT=posInT110; |
---|
1013 | srmax = strat->sl; |
---|
1014 | reduc = olddeg = lrmax = 0; |
---|
1015 | |
---|
1016 | /* compute------------------------------------------------------- */ |
---|
1017 | while (strat->Ll >= 0) |
---|
1018 | { |
---|
1019 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
1020 | |
---|
1021 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
1022 | |
---|
1023 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
1024 | if (TEST_OPT_DEGBOUND |
---|
1025 | && ((strat->honey |
---|
1026 | && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
---|
1027 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
---|
1028 | { |
---|
1029 | /* |
---|
1030 | *stops computation if |
---|
1031 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
1032 | *a predefined number Kstd1_deg |
---|
1033 | */ |
---|
1034 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
1035 | break; |
---|
1036 | } |
---|
1037 | /* picks the last element from the lazyset L */ |
---|
1038 | strat->P = strat->L[strat->Ll]; |
---|
1039 | strat->Ll--; |
---|
1040 | //kTest(strat); |
---|
1041 | |
---|
1042 | if (strat->P.p != NULL) |
---|
1043 | if (pNext(strat->P.p) == strat->tail) |
---|
1044 | { |
---|
1045 | /* deletes the short spoly and computes */ |
---|
1046 | pLmFree(strat->P.p); |
---|
1047 | /* the real one */ |
---|
1048 | if (ncRingType(currRing)==nc_lie) /* prod crit */ |
---|
1049 | if(pHasNotCF(strat->P.p1,strat->P.p2)) |
---|
1050 | { |
---|
1051 | // strat->cp++; |
---|
1052 | /* prod.crit itself in nc_CreateSpoly */ |
---|
1053 | } |
---|
1054 | |
---|
1055 | strat->P.p = nc_CreateSpoly(strat->P.p1,strat->P.p2,currRing); |
---|
1056 | |
---|
1057 | #ifdef PDEBUG |
---|
1058 | p_Test(strat->P.p, currRing); |
---|
1059 | #endif |
---|
1060 | |
---|
1061 | #if MYTEST |
---|
1062 | if (TEST_OPT_DEBUG) |
---|
1063 | { |
---|
1064 | PrintS("p1: "); pWrite(strat->P.p1); |
---|
1065 | PrintS("p2: "); pWrite(strat->P.p2); |
---|
1066 | PrintS("SPoly: "); pWrite(strat->P.p); |
---|
1067 | } |
---|
1068 | #endif |
---|
1069 | } |
---|
1070 | |
---|
1071 | |
---|
1072 | if (strat->P.p != NULL) |
---|
1073 | { |
---|
1074 | if (TEST_OPT_PROT) |
---|
1075 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), |
---|
1076 | &olddeg,&reduc,strat, red_result); |
---|
1077 | |
---|
1078 | #if MYTEST |
---|
1079 | if (TEST_OPT_DEBUG) |
---|
1080 | { |
---|
1081 | PrintS("p1: "); pWrite(strat->P.p1); |
---|
1082 | PrintS("p2: "); pWrite(strat->P.p2); |
---|
1083 | PrintS("SPoly before: "); pWrite(strat->P.p); |
---|
1084 | } |
---|
1085 | #endif |
---|
1086 | |
---|
1087 | /* reduction of the element chosen from L */ |
---|
1088 | strat->red(&strat->P,strat); |
---|
1089 | |
---|
1090 | #if MYTEST |
---|
1091 | if (TEST_OPT_DEBUG) |
---|
1092 | { |
---|
1093 | PrintS("red SPoly: "); pWrite(strat->P.p); |
---|
1094 | } |
---|
1095 | #endif |
---|
1096 | |
---|
1097 | } |
---|
1098 | if (strat->P.p != NULL) |
---|
1099 | { |
---|
1100 | /* statistic */ |
---|
1101 | if (TEST_OPT_PROT) |
---|
1102 | { |
---|
1103 | PrintS("s\n"); |
---|
1104 | } |
---|
1105 | /* enter P.p into s and L */ |
---|
1106 | { |
---|
1107 | strat->P.sev=0; |
---|
1108 | int pos=posInS(strat,strat->sl,strat->P.p, strat->P.ecart); |
---|
1109 | { |
---|
1110 | if (TEST_OPT_INTSTRATEGY) |
---|
1111 | { |
---|
1112 | if ((strat->syzComp==0)||(!strat->homog)) |
---|
1113 | { |
---|
1114 | strat->P.p = redtailBba(strat->P.p,pos-1,strat); |
---|
1115 | } |
---|
1116 | pCleardenom(strat->P.p); |
---|
1117 | } |
---|
1118 | else |
---|
1119 | { |
---|
1120 | pNorm(strat->P.p); |
---|
1121 | if ((strat->syzComp==0)||(!strat->homog)) |
---|
1122 | { |
---|
1123 | strat->P.p = redtailBba(strat->P.p,pos-1,strat); |
---|
1124 | } |
---|
1125 | } |
---|
1126 | // PLURAL debug |
---|
1127 | /* should be used only internally!!! */ |
---|
1128 | |
---|
1129 | //pWrite(strat->P.p); |
---|
1130 | |
---|
1131 | if (TEST_OPT_DEBUG) |
---|
1132 | { |
---|
1133 | PrintS("new s:"); wrp(strat->P.p); |
---|
1134 | PrintLn(); |
---|
1135 | #if MYTEST |
---|
1136 | Print("s: "); pWrite(strat->P.p); |
---|
1137 | #endif |
---|
1138 | |
---|
1139 | } |
---|
1140 | // kTest(strat); |
---|
1141 | // |
---|
1142 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat); |
---|
1143 | |
---|
1144 | if (strat->sl==-1) pos=0; |
---|
1145 | else pos=posInS(strat,strat->sl,strat->P.p,strat->P.ecart); |
---|
1146 | |
---|
1147 | strat->enterS(strat->P,pos,strat,-1); |
---|
1148 | } |
---|
1149 | // if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
---|
1150 | } |
---|
1151 | if (strat->P.lcm!=NULL) pLmFree(strat->P.lcm); |
---|
1152 | if (strat->sl>srmax) srmax = strat->sl; |
---|
1153 | } |
---|
1154 | #ifdef KDEBUG |
---|
1155 | strat->P.lcm=NULL; |
---|
1156 | #endif |
---|
1157 | //kTest(strat); |
---|
1158 | } |
---|
1159 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
1160 | |
---|
1161 | /* complete reduction of the standard basis--------- */ |
---|
1162 | if (TEST_OPT_SB_1) |
---|
1163 | { |
---|
1164 | int k=1; |
---|
1165 | int j; |
---|
1166 | while(k<=strat->sl) |
---|
1167 | { |
---|
1168 | j=0; |
---|
1169 | loop |
---|
1170 | { |
---|
1171 | if (j>=k) break; |
---|
1172 | clearS(strat->S[j],strat->sevS[j],&k,&j,strat); |
---|
1173 | j++; |
---|
1174 | } |
---|
1175 | k++; |
---|
1176 | } |
---|
1177 | } |
---|
1178 | |
---|
1179 | if (TEST_OPT_REDSB) |
---|
1180 | completeReduce(strat); |
---|
1181 | /* release temp data-------------------------------- */ |
---|
1182 | exitBuchMora(strat); |
---|
1183 | if (TEST_OPT_WEIGHTM) |
---|
1184 | { |
---|
1185 | pFDeg=pFDegOld; |
---|
1186 | pLDeg=pLDegOld; |
---|
1187 | if (ecartWeights) |
---|
1188 | { |
---|
1189 | omFreeSize((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
---|
1190 | ecartWeights=NULL; |
---|
1191 | } |
---|
1192 | } |
---|
1193 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
1194 | if (Q!=NULL) updateResult(strat->Shdl,Q,strat); |
---|
1195 | |
---|
1196 | |
---|
1197 | #ifdef PDEBUG |
---|
1198 | /* for counting number of pairs [enterL] in Plural */ |
---|
1199 | /* extern int zaehler; */ |
---|
1200 | /* Print("Total pairs considered:%d\n",zaehler); zaehler=0; */ |
---|
1201 | #endif /*PDEBUG*/ |
---|
1202 | |
---|
1203 | #if MYTEST |
---|
1204 | PrintS("</gnc_gr_bba>\n"); |
---|
1205 | #endif |
---|
1206 | |
---|
1207 | return (strat->Shdl); |
---|
1208 | } |
---|
1209 | |
---|
1210 | ideal gnc_gr_mora(const ideal, const ideal, const intvec *, const intvec *, kStrategy) |
---|
1211 | { |
---|
1212 | PrintS("Sorry, non-commutative mora is not yet implemented!"); |
---|
1213 | PrintLn(); |
---|
1214 | |
---|
1215 | // Not yet! |
---|
1216 | return NULL; |
---|
1217 | } |
---|
1218 | |
---|
1219 | #endif |
---|
1220 | |
---|